Tutorial on Automatic Theorem Prover¶

Automatic Theorem Prover is a program to prove a given a set of axioms and lemmas in first order logic. The proof process would be shown in nice mathematics format.

The original Python code of this Theorem Prover was developed by Stephan Boyer. I fixed some minor bugs, help to improve the user experience and usability by providing wrapper functions such that it can be used in Jupyter notebook. This notebook should also be used as the documentation.

The full code and this documentation can be downloaded from GitHub or in Revoledu.com.

TheoremProver Module¶

After you have download all the modules from GitHub, to use the program. First step, you need to import the main module. You need only to import one time.

In [1]:
import TheoremProver as thp

Function and Mode¶

Automatic Theorem Prover has two main functions that represent the two modes:

1. thp.prove(inputlist) function: to do batch mode. You input a list of propositions or commands.
2. thp.interactive() function: to start interactive mode. You input each line of proposition or each command interactively.

To get brief help on the acceptable commands and syntax of propositions use:

thp.help()

This is especially useful during interactive mode.

You can also run the program through command prompt:

python TheoremProver.py

You will have an interactive mode.

Commands¶

The following commands are useful. They can be used in both interactive mode or bath mode (except quit/exit).

• axioms: to list all axioms that has been inputted to the memory
• lemmas: to list all lemmas that has been inputted to the memory
• remove formula: to remove an axiom or a lemma from the memory
• reset: to remove all axioms and lemmas from the memory
• quit: to exit interactive mode
• exit: the same as quit, to exit interactive mode

Proposition¶

Proposition is a statement that can be only true or false. It cannot be both true and false. Every mathematical statement is assumed to be true or false.

Automatic Theorem Prover can accept one or several propositions in a statement. In an interactive mode, you input each proposition (or a command) and press Enter. In batch mode, you provide all propositions (including commands) as a list of string that we called as a statement.

A proposition in Automatic Theorem Prover can be either:

1. A formula, or
2. An axiom, or
3. A lemma

A formula are represented as symbols:

• a proposition symbol, which is a capital letter, such as A, B, ..., P, Q, ...Z.
• a build-in function
• Equals(x, y)
• your own define function. Initialized by a Capital letter represent proposition symbol or function name, small letters represent variable term.
• Human(x)
• Men(socrates)
• Mother(mrsrabbit, pete)
• a logical proposition symbol
• not P
• P and Q
• P or Q
• P implies Q
• universal quantification:
• forall x. P(x)
• existential quantification:
• axiom exists x. P(x)

An axiom is a proposition that believe to be always True. Every statement must be derived by logical rules from a clearly defined collection of assumption, which is the axioms. In Automatic Theorem Prover, an axiom is a formula that start with keyword axiom. If you use existential quantification, it is better to put it into axiom, not just a stand alone formula.

A lemma is a proposition that supposed to be derived from axioms and other lemma. In Automatic Theorem Prover, an axiom is a formula that start with keyword lemma. You use lemma in Automatic Theorem Prover to ask question or query whether the lemma can be proven or not. The goal of Automatic Theorem Prover is to help us to tell whether the lemma is proven or unprovable.

Debugging Statement¶

When you write your statement, put the lemmas at the end of the proposition list.

To debug your statement, put all propositions as axioms first (without lemma) and then run the statement in Batch Mode. This will give you a clue if there is a typing error or some symbols are not based on your intention. After all the propositions are correct, then you change the last proposition from axioms to lemmas and run again the theorem prover.

Batch Mode Theorem Prover¶

In this tutorial, we will focus on the batch mode. Each member of the list of proposition can be used in the interaction mode.

Examples¶

Let us start with a few simple examples of propositions with formulas. After that, we will present examples of proposition with axioms and lemmas. The usage of universal and existensial quantifier will also be introduced.

We begin with a single proposition that represent a formula. Proposition P is either True or False but P cannot become both True and False.

The following proposition is False, therefore it is unprovable.

In [2]:
statement=['P and not P']
thp.prove(statement)
0. ⊢ (P ∧ ¬P)
1. ⊢ P
Formula unprovable: (P ∧ ¬P).

Example: Tautology¶

Proposition Z can either be True or False.

• When Z is True, 'Z or not Z' is True.
• When Z is False, 'Z or not Z' is also True.

The following proposition is True, therefore the formula is proven.

In [3]:
statement=['Z or not Z']
thp.prove(statement)
0. ⊢ (Z ∨ ¬Z)
1. ⊢ Z, ¬Z
2. Z ⊢ Z
Formula proven: (Z ∨ ¬Z).

Example: Chain Rule¶

Let us build a statement based on only three propositions:

1. If you go to school you need to pay tuition fee
2. If you pay tuition fee, you will have less money
3. Thus, if you go to school, you will have less money

Define Symbolic Proposition:

• P = you go to school
• Q = you pay tuition fee
• R = you will have less money

Put the statements above into symbols:

1. P ==> Q
2. Q ==> R
3. P

The first and second propositions above are implications (if P then Q, if Q then R). The third proposition above is to tell that P is True.

We want to know whether R is True. We will use the Theorem Prover to know R.

Here is how you will type line by line to the Automatic Theorem Prover:

axiom P implies Q

axiom Q implies R

axiom P

lemma R

Another way is to put them into chain rule

axiom P implies Q

axiom Q implies R

lemma P implies R

In [4]:
statement=['axiom P implies Q',
'axiom Q implies R',
'axiom P',
'lemma R']
thp.prove(statement)
0. P, (Q → R), (P → Q) ⊢ R
1. P, (P → Q) ⊢ R, Q
1. P, (P → Q), R ⊢ R
2. P ⊢ R, Q, P
2. P, Q ⊢ R, Q
Lemma proven: R.
In [5]:
# another way
statement=['axiom P implies Q',
'axiom Q implies R',
'lemma P implies R']
thp.prove(statement)
0. (Q → R), (P → Q) ⊢ (P → R)
1. (Q → R), (P → Q), P ⊢ R
2. (P → Q), P ⊢ R, Q
2. (P → Q), P, R ⊢ R
3. P ⊢ R, Q, P
3. P, Q ⊢ R, Q
Lemma proven: (P → R).

Example: Another Chain Rule¶

Let us build a statement based on four propositions:

1. P & Q ==> R
2. Q & R ==> S
3. P
4. Q

The first and second propositions above are implications (if P and Q then Q, if Q and R then S). The third and fourth proposition above are to tell that P is True and Q is True.

We want to know whether S is True. We will use the Theorem Prover to know S.

Here is how you will type line by line to the Theorem Prover:

axiom P and Q implies R

axiom Q and R implies S

axiom P

axiom Q

lemma S

In [6]:
statement=['axiom P and Q implies R',
'axiom Q and R implies S',
'axiom P',
'axiom Q',
'lemma S']
thp.prove(statement)
Axiom added: ((P ∧ Q) → R).
Axiom added: ((Q ∧ R) → S).
0. ((Q ∧ R) → S), P, ((P ∧ Q) → R), Q ⊢ S
1. P, ((P ∧ Q) → R), Q ⊢ S, (Q ∧ R)
1. P, ((P ∧ Q) → R), Q, S ⊢ S
2. P, Q ⊢ S, (Q ∧ R), (P ∧ Q)
2. P, Q, R ⊢ S, (Q ∧ R)
3. P, Q ⊢ S, (P ∧ Q), Q
3. P, Q ⊢ S, (P ∧ Q), R
3. P, Q, R ⊢ S, Q
3. P, Q, R ⊢ S, R
4. P, Q ⊢ S, R, P
4. P, Q ⊢ S, R, Q
Lemma proven: S.

Example: Modus Ponen¶

Suppose we have the following propositions:

1. If my son win the chess competition, we will have party to celebrate it.
2. My son won the chess competition.
3. So, we will have party

Let us define symbolic proposition

• A = my son win the chess competition
• B = we will have party

Modus Ponen:

• (If A is True) And (A implies B)
• Then Deduce B
In [7]:
statement=['axiom A implies B',
'axiom A',
'lemma B']
thp.prove(statement)
0. A, (A → B) ⊢ B
1. A ⊢ B, A
1. A, B ⊢ B
Lemma proven: B.

Example: Modus Tollen¶

Now we change the proposition a little bit:

1. If my son win the chess competition, we will have party to celebrate it.
2. We do not have party
3. So, my son did not win the chess competition.

Let us define symbolic proposition

• A = my son win the chess competition
• B = we will have party

Modus Tollen:

• (If B is not True) And (A implies B)
• Then Deduce not A
In [8]:
statement=['axiom A implies B',
'axiom not B',
'lemma not A']
thp.prove(statement)
0. ¬B, (A → B) ⊢ ¬A
1. ¬B, (A → B), A ⊢
2. (A → B), A ⊢ B
3. A ⊢ B, A
3. A, B ⊢ B
Lemma proven: ¬A.

Logical Fallacy: this is not Modus Tollen¶

We can use Automatic Theorem Prover to check logical fallacy. The following statement look like similar to Modus Tollen but it is incorrect.

In [9]:
statement=['axiom A implies B',
'axiom not A',
'lemma not B']
thp.prove(statement)
0. ¬A, (A → B) ⊢ ¬B
1. ¬A, (A → B), B ⊢
2. (A → B), B ⊢ A
3. B ⊢ A
Lemma unprovable: ¬B.

Let us try something that sound more complicated:

1. If a number N is the largest number, then no number is larger than N
2. If a number N is the largest number, then some number (N+1) is larger than N.
3. So, there can be no number N that is the largest number

To solve the above problem, let us define a few propositional symbols:

• A = number N is the largest number
• B = number is larger than N

• If A then not B
• If A then B
• Then deduce not A
In [10]:
statement=['axiom A implies not B',
'axiom A implies B',
'lemma not A']
thp.prove(statement)
0. (A → ¬B), (A → B) ⊢ ¬A
1. (A → ¬B), (A → B), A ⊢
2. (A → B), A ⊢ A
2. (A → B), A, ¬B ⊢
3. A, ¬B ⊢ A
3. A, ¬B, B ⊢
4. A, B ⊢ B
Lemma proven: ¬A.

Example: Contraposition¶

Suppose we have the following statement:

• If Adam lose, then Eve will also lose.
• So, if Eve wins, then Adam will win

Let us define the symbols:

• B = Eve wins

Contraposition:

• A is False
• And not A implies not B
• Then deduce B implies A
In [11]:
statement=['axiom not A',
'axiom not A implies not B',
'lemma B implies A']
thp.prove(statement)
0. ¬A, (¬A → ¬B) ⊢ (B → A)
1. ¬A, (¬A → ¬B), B ⊢ A
2. (¬A → ¬B), B ⊢ A
3. B ⊢ A, ¬A
3. B, ¬B ⊢ A
4. B, A ⊢ A
4. B ⊢ A, B
Lemma proven: (B → A).

Example: Universal Quantifier¶

The following single proposition is using universal quantifier. Note the dot after forall x. is necessary.

In [12]:
statement=['forall x. P(x) implies (Q(x) implies P(x))']
thp.prove(statement)
0. ⊢ (∀x. (P(x) → (Q(x) → P(x))))
1. ⊢ (P(v1) → (Q(v1) → P(v1)))
2. P(v1) ⊢ (Q(v1) → P(v1))
3. P(v1), Q(v1) ⊢ P(v1)
Formula proven: (∀x. (P(x) → (Q(x) → P(x)))).

Example: Syllogism¶

Let us try the well-know example of Syllogism:

All men are mortal.

Socrates is a man.

Therefore Socrates is mortal.

In [13]:
statement=['axiom forall x. Men(x) implies Mortal(x)',
'axiom Men(socrates)',
'lemma Mortal(socrates)']
thp.prove(statement)
Axiom added: (∀x. (Men(x) → Mortal(x))).
0. Men(socrates), (∀x. (Men(x) → Mortal(x))) ⊢ Mortal(socrates)
1. Men(socrates), (∀x. (Men(x) → Mortal(x))), (Men(t1) → Mortal(t1)) ⊢ Mortal(socrates)
2. Men(socrates), (∀x. (Men(x) → Mortal(x))), (Men(t1) → Mortal(t1)), (Men(t2) → Mortal(t2)) ⊢ Mortal(socrates)
3. Men(socrates), (∀x. (Men(x) → Mortal(x))), (Men(t2) → Mortal(t2)) ⊢ Mortal(socrates), Men(t1)
t1 = socrates
Lemma proven: Mortal(socrates).

Example: Barbara¶

Here is example of Barbara (AAA-1) Syllogism:

All men are mortal.

All Greeks are men.

Therefore, all Greeks are mortal.

In [14]:
statement=['axiom forall x. Men(x) implies Mortal(x)',
'axiom forall x. Greek(x) implies Men(x)',
'lemma forall x. (Greek(x) implies Mortal(x))']
thp.prove(statement)
Axiom added: (∀x. (Men(x) → Mortal(x))).
Axiom added: (∀x. (Greek(x) → Men(x))).
0. (∀x. (Men(x) → Mortal(x))), (∀x. (Greek(x) → Men(x))) ⊢ (∀x. (Greek(x) → Mortal(x)))
1. (∀x. (Men(x) → Mortal(x))), (∀x. (Greek(x) → Men(x))) ⊢ (Greek(v1) → Mortal(v1))
2. (∀x. (Men(x) → Mortal(x))), (∀x. (Greek(x) → Men(x))), (Men(t1) → Mortal(t1)) ⊢ (Greek(v1) → Mortal(v1))
3. (∀x. (Men(x) → Mortal(x))), (∀x. (Greek(x) → Men(x))), (Men(t1) → Mortal(t1)), (Greek(t2) → Men(t2)) ⊢ (Greek(v1) → Mortal(v1))
4. (∀x. (Men(x) → Mortal(x))), (∀x. (Greek(x) → Men(x))), (Men(t1) → Mortal(t1)), (Greek(t2) → Men(t2)), Greek(v1) ⊢ Mortal(v1)
5. (∀x. (Men(x) → Mortal(x))), (∀x. (Greek(x) → Men(x))), (Men(t1) → Mortal(t1)), (Greek(t2) → Men(t2)), Greek(v1), (Men(t3) → Mortal(t3)) ⊢ Mortal(v1)
6. (∀x. (Men(x) → Mortal(x))), (∀x. (Greek(x) → Men(x))), (Men(t1) → Mortal(t1)), (Greek(t2) → Men(t2)), Greek(v1), (Men(t3) → Mortal(t3)), (Greek(t4) → Men(t4)) ⊢ Mortal(v1)
7. (∀x. (Men(x) → Mortal(x))), (∀x. (Greek(x) → Men(x))), (Greek(t2) → Men(t2)), Greek(v1), (Men(t3) → Mortal(t3)), (Greek(t4) → Men(t4)) ⊢ Mortal(v1), Men(t1)
7. (∀x. (Men(x) → Mortal(x))), (∀x. (Greek(x) → Men(x))), (Greek(t2) → Men(t2)), Greek(v1), (Men(t3) → Mortal(t3)), (Greek(t4) → Men(t4)), Mortal(t1) ⊢ Mortal(v1)
t1 = v1
t2 = v1
Lemma proven: (∀x. (Greek(x) → Mortal(x))).

Example: Existential Quantifier¶

The following single proposition is using both existential quantifier exists x. and universal quantifier forall y.. Do not forget to put the dot after quantifier.

In [15]:
statement=['exists x. (P(x) implies forall y. P(y))']
thp.prove(statement)
0. ⊢ (∃x. (P(x) → (∀y. P(y))))
1. ⊢ (∃x. (P(x) → (∀y. P(y)))), (P(t1) → (∀y. P(y)))
2. ⊢ (∃x. (P(x) → (∀y. P(y)))), (P(t1) → (∀y. P(y))), (P(t2) → (∀y. P(y)))
3. P(t1) ⊢ (∃x. (P(x) → (∀y. P(y)))), (P(t2) → (∀y. P(y))), (∀y. P(y))
4. P(t1) ⊢ (∃x. (P(x) → (∀y. P(y)))), (P(t2) → (∀y. P(y))), (∀y. P(y)), (P(t3) → (∀y. P(y)))
5. P(t1), P(t2) ⊢ (∃x. (P(x) → (∀y. P(y)))), (∀y. P(y)), (P(t3) → (∀y. P(y)))
6. P(t1), P(t2) ⊢ (∃x. (P(x) → (∀y. P(y)))), (∀y. P(y)), (P(t3) → (∀y. P(y))), (P(t4) → (∀y. P(y)))
7. P(t1), P(t2) ⊢ (∃x. (P(x) → (∀y. P(y)))), (P(t3) → (∀y. P(y))), (P(t4) → (∀y. P(y))), P(v1)
8. P(t1), P(t2), P(t3) ⊢ (∃x. (P(x) → (∀y. P(y)))), (P(t4) → (∀y. P(y))), P(v1), (∀y. P(y))
9. P(t1), P(t2), P(t3) ⊢ (∃x. (P(x) → (∀y. P(y)))), (P(t4) → (∀y. P(y))), P(v1), (∀y. P(y)), (P(t5) → (∀y. P(y)))
10. P(t1), P(t2), P(t3), P(t4) ⊢ (∃x. (P(x) → (∀y. P(y)))), P(v1), (∀y. P(y)), (P(t5) → (∀y. P(y)))
11. P(t1), P(t2), P(t3), P(t4) ⊢ (∃x. (P(x) → (∀y. P(y)))), P(v1), (∀y. P(y)), (P(t5) → (∀y. P(y))), (P(t6) → (∀y. P(y)))
12. P(t1), P(t2), P(t3), P(t4) ⊢ (∃x. (P(x) → (∀y. P(y)))), P(v1), (P(t5) → (∀y. P(y))), (P(t6) → (∀y. P(y))), P(v2)
13. P(t1), P(t2), P(t3), P(t4), P(t5) ⊢ (∃x. (P(x) → (∀y. P(y)))), P(v1), (P(t6) → (∀y. P(y))), P(v2), (∀y. P(y))
t5 = v1
Formula proven: (∃x. (P(x) → (∀y. P(y)))).

Example: Equals¶

The following propositions are using built-in function Equals(x, y) and command remove formula.

In [16]:
statement=['axiom forall x. Equals(x, x)',
'lemma Equals(a, a)',
'remove forall x. Equals(x, x)']
thp.prove(statement)
0. (∀x. Equals(x, x)) ⊢ Equals(a, a)
1. (∀x. Equals(x, x)), Equals(t1, t1) ⊢ Equals(a, a)
t1 = a
Lemma proven: Equals(a, a).
Axiom removed: (∀x. Equals(x, x)).
This lemma was proven using that axiom and was also removed:
Equals(a, a)

Example: Calemes¶

Here is an example of Calemes (AEE-4) Syllogism.

All rabbits have fur.

Some pets are rabbits.

Therefore, Some pets have fur.

In [17]:
statement=['axiom forall x. Rabbit(x) implies HaveFur',
'axiom exists x. Pet(x) implies Rabbit(x)',
'lemma exists x. Pet(x) implies HaveFur']
thp.prove(statement)
Axiom added: (∀x. (Rabbit(x) → HaveFur)).
Axiom added: (∃x. (Pet(x) → Rabbit(x))).
0. (∃x. (Pet(x) → Rabbit(x))), (∀x. (Rabbit(x) → HaveFur)) ⊢ (∃x. (Pet(x) → HaveFur))
1. (∃x. (Pet(x) → Rabbit(x))), (∀x. (Rabbit(x) → HaveFur)) ⊢ (∃x. (Pet(x) → HaveFur)), (Pet(t1) → HaveFur)
2. (∀x. (Rabbit(x) → HaveFur)), (Pet(v1) → Rabbit(v1)) ⊢ (∃x. (Pet(x) → HaveFur)), (Pet(t1) → HaveFur)
3. (∀x. (Rabbit(x) → HaveFur)), (Pet(v1) → Rabbit(v1)), (Rabbit(t2) → HaveFur) ⊢ (∃x. (Pet(x) → HaveFur)), (Pet(t1) → HaveFur)
4. (∀x. (Rabbit(x) → HaveFur)), (Pet(v1) → Rabbit(v1)), (Rabbit(t2) → HaveFur) ⊢ (∃x. (Pet(x) → HaveFur)), (Pet(t1) → HaveFur), (Pet(t3) → HaveFur)
5. (∀x. (Rabbit(x) → HaveFur)), (Pet(v1) → Rabbit(v1)), (Rabbit(t2) → HaveFur), Pet(t1) ⊢ (∃x. (Pet(x) → HaveFur)), (Pet(t3) → HaveFur), HaveFur
6. (∀x. (Rabbit(x) → HaveFur)), (Pet(v1) → Rabbit(v1)), (Rabbit(t2) → HaveFur), Pet(t1), (Rabbit(t4) → HaveFur) ⊢ (∃x. (Pet(x) → HaveFur)), (Pet(t3) → HaveFur), HaveFur
7. (∀x. (Rabbit(x) → HaveFur)), (Rabbit(t2) → HaveFur), Pet(t1), (Rabbit(t4) → HaveFur) ⊢ (∃x. (Pet(x) → HaveFur)), (Pet(t3) → HaveFur), HaveFur, Pet(v1)
7. (∀x. (Rabbit(x) → HaveFur)), (Rabbit(t2) → HaveFur), Pet(t1), (Rabbit(t4) → HaveFur), Rabbit(v1) ⊢ (∃x. (Pet(x) → HaveFur)), (Pet(t3) → HaveFur), HaveFur
8. (∀x. (Rabbit(x) → HaveFur)), Pet(t1), (Rabbit(t4) → HaveFur) ⊢ (∃x. (Pet(x) → HaveFur)), (Pet(t3) → HaveFur), HaveFur, Pet(v1), Rabbit(t2)
8. (∀x. (Rabbit(x) → HaveFur)), Pet(t1), (Rabbit(t4) → HaveFur), HaveFur ⊢ (∃x. (Pet(x) → HaveFur)), (Pet(t3) → HaveFur), HaveFur, Pet(v1)
8. (∀x. (Rabbit(x) → HaveFur)), Pet(t1), (Rabbit(t4) → HaveFur), Rabbit(v1) ⊢ (∃x. (Pet(x) → HaveFur)), (Pet(t3) → HaveFur), HaveFur, Rabbit(t2)
8. (∀x. (Rabbit(x) → HaveFur)), Pet(t1), (Rabbit(t4) → HaveFur), Rabbit(v1), HaveFur ⊢ (∃x. (Pet(x) → HaveFur)), (Pet(t3) → HaveFur), HaveFur
9. (∀x. (Rabbit(x) → HaveFur)), Pet(t1), (Rabbit(t4) → HaveFur) ⊢ (∃x. (Pet(x) → HaveFur)), (Pet(t3) → HaveFur), HaveFur, Pet(v1), Rabbit(t2), (Pet(t5) → HaveFur)
9. (∀x. (Rabbit(x) → HaveFur)), Pet(t1), (Rabbit(t4) → HaveFur), Rabbit(v1) ⊢ (∃x. (Pet(x) → HaveFur)), (Pet(t3) → HaveFur), HaveFur, Rabbit(t2), (Pet(t5) → HaveFur)
t3 = v1
t2 = v1
Lemma proven: (∃x. (Pet(x) → HaveFur)).

Example: Ferioque¶

Here is an example of Ferioque (EIO-1) Syllogism.

No homework is fun.

Therefore, some reading is not fun.

In [18]:
statement=['axiom not forall x. Homework(x) implies Fun',
'axiom exists x. (Reading(x) implies Homework(x))',
'lemma exists x. Reading(x) implies not Fun']
thp.prove(statement)
Axiom added: ¬(∀x. (Homework(x) → Fun)).
0. ¬(∀x. (Homework(x) → Fun)), (∃x. (Reading(x) → Homework(x))) ⊢ (∃x. (Reading(x) → ¬Fun))
1. ¬(∀x. (Homework(x) → Fun)), (∃x. (Reading(x) → Homework(x))) ⊢ (∃x. (Reading(x) → ¬Fun)), (Reading(t1) → ¬Fun)
2. (∃x. (Reading(x) → Homework(x))) ⊢ (∃x. (Reading(x) → ¬Fun)), (Reading(t1) → ¬Fun), (∀x. (Homework(x) → Fun))
Lemma proven: (∃x. (Reading(x) → ¬Fun)).

Example: Married¶

Alex is married

All married people have a spouse

Therefore, Alex have a spouse

In [19]:
statement=['axiom Married(alex)',
'axiom forall x. Married(x) implies HaveSpouse(x)',
'lemma HaveSpouse(alex)']
thp.prove(statement)
Axiom added: (∀x. (Married(x) → HaveSpouse(x))).
0. Married(alex), (∀x. (Married(x) → HaveSpouse(x))) ⊢ HaveSpouse(alex)
1. Married(alex), (∀x. (Married(x) → HaveSpouse(x))), (Married(t1) → HaveSpouse(t1)) ⊢ HaveSpouse(alex)
2. Married(alex), (∀x. (Married(x) → HaveSpouse(x))), (Married(t1) → HaveSpouse(t1)), (Married(t2) → HaveSpouse(t2)) ⊢ HaveSpouse(alex)
3. Married(alex), (∀x. (Married(x) → HaveSpouse(x))), (Married(t2) → HaveSpouse(t2)) ⊢ HaveSpouse(alex), Married(t1)
t1 = alex
Lemma proven: HaveSpouse(alex).

Example: Farm¶

This example is to demonstrate that you can have more than one quantifier in a proposition.

In [20]:
statement=['axiom Farmer(mac)',
'axiom Rabbit(pete)',
'axiom Mother(mrsmac, mac)',
'axiom Mother(mrsrabbit, pete)',
'axiom forall r. forall f. Rabbit(r) and Farmer(f) implies Hates(f, r)',
'axiom forall m. forall c. (Mother(m, c)) implies Loves(m, c)',
'axiom forall m. forall r. (Mother(m, r) and Rabbit(r) implies Rabbit(m))',
'axiom forall f. Farmer(f) implies Human(f)',
'axiom forall m. forall h. Mother(m, h) and Human(h) implies Human(m)',
'lemma Hates(mac,pete)'
]
thp.prove(statement)
Axiom added: (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))).
Axiom added: (∀m. (∀c. (Mother(m, c) → Loves(m, c)))).
Axiom added: (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))).
Axiom added: (∀f. (Farmer(f) → Human(f))).
Axiom added: (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))).
0. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))) ⊢ Hates(mac, pete)
1. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))) ⊢ Hates(mac, pete)
2. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))) ⊢ Hates(mac, pete)
3. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))) ⊢ Hates(mac, pete)
4. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (Farmer(t4) → Human(t4)) ⊢ Hates(mac, pete)
5. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (Farmer(t4) → Human(t4)), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))) ⊢ Hates(mac, pete)
6. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (Farmer(t4) → Human(t4)), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))) ⊢ Hates(mac, pete)
7. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (Farmer(t4) → Human(t4)), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))) ⊢ Hates(mac, pete)
8. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (Farmer(t4) → Human(t4)), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))) ⊢ Hates(mac, pete)
9. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (Farmer(t4) → Human(t4)), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)) ⊢ Hates(mac, pete)
10. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (Farmer(t4) → Human(t4)), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))) ⊢ Hates(mac, pete)
11. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (Farmer(t4) → Human(t4)), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)) ⊢ Hates(mac, pete)
12. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (Farmer(t4) → Human(t4)), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)) ⊢ Hates(mac, pete)
13. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (Farmer(t4) → Human(t4)), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)) ⊢ Hates(mac, pete)
14. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)) ⊢ Hates(mac, pete), Farmer(t4)
14. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4) ⊢ Hates(mac, pete)
15. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)) ⊢ Hates(mac, pete), Farmer(t4)
15. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)) ⊢ Hates(mac, pete)
16. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))) ⊢ Hates(mac, pete), Farmer(t4)
16. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))) ⊢ Hates(mac, pete)
17. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))) ⊢ Hates(mac, pete), Farmer(t4)
17. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))) ⊢ Hates(mac, pete)
18. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))) ⊢ Hates(mac, pete), Farmer(t4)
18. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))) ⊢ Hates(mac, pete)
19. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)) ⊢ Hates(mac, pete), Farmer(t4)
19. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)) ⊢ Hates(mac, pete)
20. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))) ⊢ Hates(mac, pete), Farmer(t4)
20. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))) ⊢ Hates(mac, pete)
21. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)) ⊢ Hates(mac, pete), Farmer(t4)
21. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)) ⊢ Hates(mac, pete)
22. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)) ⊢ Hates(mac, pete), Farmer(t4)
22. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)) ⊢ Hates(mac, pete)
23. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)) ⊢ Hates(mac, pete), Farmer(t4)
23. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)) ⊢ Hates(mac, pete)
24. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)) ⊢ Hates(mac, pete), Farmer(t4)
24. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)) ⊢ Hates(mac, pete)
25. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)) ⊢ Hates(mac, pete), Farmer(t4)
25. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)) ⊢ Hates(mac, pete)
26. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)) ⊢ Hates(mac, pete), Farmer(t4)
26. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)) ⊢ Hates(mac, pete)
27. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)) ⊢ Hates(mac, pete), Farmer(t4)
27. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (Farmer(t9) → Human(t9)), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)) ⊢ Hates(mac, pete)
28. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9)
28. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9) ⊢ Hates(mac, pete), Farmer(t4)
28. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)) ⊢ Hates(mac, pete), Farmer(t9)
28. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9) ⊢ Hates(mac, pete)
29. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9)
29. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)) ⊢ Hates(mac, pete), Farmer(t4)
29. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)) ⊢ Hates(mac, pete), Farmer(t9)
29. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Rabbit(t1) ∧ Farmer(t11)) → Hates(t11, t1)), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)) ⊢ Hates(mac, pete)
30. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11))
30. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9)
30. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)) ⊢ Hates(mac, pete), Farmer(t4), (Rabbit(t1) ∧ Farmer(t11))
30. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1) ⊢ Hates(mac, pete), Farmer(t4)
30. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)) ⊢ Hates(mac, pete), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11))
30. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1) ⊢ Hates(mac, pete), Farmer(t9)
30. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)) ⊢ Hates(mac, pete), (Rabbit(t1) ∧ Farmer(t11))
30. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (Mother(t2, t12) → Loves(t2, t12)), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1) ⊢ Hates(mac, pete)
31. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12)
31. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11))
31. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), Mother(t2, t12)
31. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9)
31. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)) ⊢ Hates(mac, pete), Farmer(t4), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12)
31. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12) ⊢ Hates(mac, pete), Farmer(t4), (Rabbit(t1) ∧ Farmer(t11))
31. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1) ⊢ Hates(mac, pete), Farmer(t4), Mother(t2, t12)
31. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12) ⊢ Hates(mac, pete), Farmer(t4)
31. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)) ⊢ Hates(mac, pete), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12)
31. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12) ⊢ Hates(mac, pete), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11))
31. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1) ⊢ Hates(mac, pete), Farmer(t9), Mother(t2, t12)
31. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12) ⊢ Hates(mac, pete), Farmer(t9)
31. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)) ⊢ Hates(mac, pete), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12)
31. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12) ⊢ Hates(mac, pete), (Rabbit(t1) ∧ Farmer(t11))
31. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1) ⊢ Hates(mac, pete), Mother(t2, t12)
31. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t3, t13) ∧ Rabbit(t13)) → Rabbit(t3)), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12) ⊢ Hates(mac, pete)
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12), (Mother(t3, t13) ∧ Rabbit(t13))
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12)
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11)), (Mother(t3, t13) ∧ Rabbit(t13))
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11))
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), Mother(t2, t12), (Mother(t3, t13) ∧ Rabbit(t13))
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), Mother(t2, t12)
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), (Mother(t3, t13) ∧ Rabbit(t13))
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9)
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)) ⊢ Hates(mac, pete), Farmer(t4), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12), (Mother(t3, t13) ∧ Rabbit(t13))
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t4), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12)
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12) ⊢ Hates(mac, pete), Farmer(t4), (Rabbit(t1) ∧ Farmer(t11)), (Mother(t3, t13) ∧ Rabbit(t13))
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t4), (Rabbit(t1) ∧ Farmer(t11))
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1) ⊢ Hates(mac, pete), Farmer(t4), Mother(t2, t12), (Mother(t3, t13) ∧ Rabbit(t13))
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t4), Mother(t2, t12)
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12) ⊢ Hates(mac, pete), Farmer(t4), (Mother(t3, t13) ∧ Rabbit(t13))
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t4)
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)) ⊢ Hates(mac, pete), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12), (Mother(t3, t13) ∧ Rabbit(t13))
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12)
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12) ⊢ Hates(mac, pete), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11)), (Mother(t3, t13) ∧ Rabbit(t13))
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11))
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1) ⊢ Hates(mac, pete), Farmer(t9), Mother(t2, t12), (Mother(t3, t13) ∧ Rabbit(t13))
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t9), Mother(t2, t12)
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12) ⊢ Hates(mac, pete), Farmer(t9), (Mother(t3, t13) ∧ Rabbit(t13))
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t9)
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)) ⊢ Hates(mac, pete), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12), (Mother(t3, t13) ∧ Rabbit(t13))
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Rabbit(t3) ⊢ Hates(mac, pete), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12)
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12) ⊢ Hates(mac, pete), (Rabbit(t1) ∧ Farmer(t11)), (Mother(t3, t13) ∧ Rabbit(t13))
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12), Rabbit(t3) ⊢ Hates(mac, pete), (Rabbit(t1) ∧ Farmer(t11))
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1) ⊢ Hates(mac, pete), Mother(t2, t12), (Mother(t3, t13) ∧ Rabbit(t13))
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Rabbit(t3) ⊢ Hates(mac, pete), Mother(t2, t12)
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12) ⊢ Hates(mac, pete), (Mother(t3, t13) ∧ Rabbit(t13))
32. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), ((Mother(t5, t14) ∧ Human(t14)) → Human(t5)), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12), Rabbit(t3) ⊢ Hates(mac, pete)
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12), (Mother(t3, t13) ∧ Rabbit(t13)), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Human(t5) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12), (Mother(t3, t13) ∧ Rabbit(t13))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Rabbit(t3), Human(t5) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12)
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11)), (Mother(t3, t13) ∧ Rabbit(t13)), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12), Human(t5) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11)), (Mother(t3, t13) ∧ Rabbit(t13))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11)), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12), Rabbit(t3), Human(t5) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), Mother(t2, t12), (Mother(t3, t13) ∧ Rabbit(t13)), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Human(t5) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), Mother(t2, t12), (Mother(t3, t13) ∧ Rabbit(t13))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), Mother(t2, t12), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Rabbit(t3), Human(t5) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), Mother(t2, t12)
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), (Mother(t3, t13) ∧ Rabbit(t13)), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12), Human(t5) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), (Mother(t3, t13) ∧ Rabbit(t13))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12), Rabbit(t3), Human(t5) ⊢ Hates(mac, pete), Farmer(t4), Farmer(t9)
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)) ⊢ Hates(mac, pete), Farmer(t4), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12), (Mother(t3, t13) ∧ Rabbit(t13)), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Human(t5) ⊢ Hates(mac, pete), Farmer(t4), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12), (Mother(t3, t13) ∧ Rabbit(t13))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t4), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Rabbit(t3), Human(t5) ⊢ Hates(mac, pete), Farmer(t4), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12)
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12) ⊢ Hates(mac, pete), Farmer(t4), (Rabbit(t1) ∧ Farmer(t11)), (Mother(t3, t13) ∧ Rabbit(t13)), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12), Human(t5) ⊢ Hates(mac, pete), Farmer(t4), (Rabbit(t1) ∧ Farmer(t11)), (Mother(t3, t13) ∧ Rabbit(t13))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t4), (Rabbit(t1) ∧ Farmer(t11)), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12), Rabbit(t3), Human(t5) ⊢ Hates(mac, pete), Farmer(t4), (Rabbit(t1) ∧ Farmer(t11))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1) ⊢ Hates(mac, pete), Farmer(t4), Mother(t2, t12), (Mother(t3, t13) ∧ Rabbit(t13)), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Human(t5) ⊢ Hates(mac, pete), Farmer(t4), Mother(t2, t12), (Mother(t3, t13) ∧ Rabbit(t13))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t4), Mother(t2, t12), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Rabbit(t3), Human(t5) ⊢ Hates(mac, pete), Farmer(t4), Mother(t2, t12)
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12) ⊢ Hates(mac, pete), Farmer(t4), (Mother(t3, t13) ∧ Rabbit(t13)), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12), Human(t5) ⊢ Hates(mac, pete), Farmer(t4), (Mother(t3, t13) ∧ Rabbit(t13))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t4), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12), Rabbit(t3), Human(t5) ⊢ Hates(mac, pete), Farmer(t4)
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)) ⊢ Hates(mac, pete), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12), (Mother(t3, t13) ∧ Rabbit(t13)), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Human(t5) ⊢ Hates(mac, pete), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12), (Mother(t3, t13) ∧ Rabbit(t13))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Rabbit(t3), Human(t5) ⊢ Hates(mac, pete), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12)
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12) ⊢ Hates(mac, pete), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11)), (Mother(t3, t13) ∧ Rabbit(t13)), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12), Human(t5) ⊢ Hates(mac, pete), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11)), (Mother(t3, t13) ∧ Rabbit(t13))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11)), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12), Rabbit(t3), Human(t5) ⊢ Hates(mac, pete), Farmer(t9), (Rabbit(t1) ∧ Farmer(t11))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1) ⊢ Hates(mac, pete), Farmer(t9), Mother(t2, t12), (Mother(t3, t13) ∧ Rabbit(t13)), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Human(t5) ⊢ Hates(mac, pete), Farmer(t9), Mother(t2, t12), (Mother(t3, t13) ∧ Rabbit(t13))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t9), Mother(t2, t12), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Rabbit(t3), Human(t5) ⊢ Hates(mac, pete), Farmer(t9), Mother(t2, t12)
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12) ⊢ Hates(mac, pete), Farmer(t9), (Mother(t3, t13) ∧ Rabbit(t13)), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12), Human(t5) ⊢ Hates(mac, pete), Farmer(t9), (Mother(t3, t13) ∧ Rabbit(t13))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12), Rabbit(t3) ⊢ Hates(mac, pete), Farmer(t9), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1), Loves(t2, t12), Rabbit(t3), Human(t5) ⊢ Hates(mac, pete), Farmer(t9)
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)) ⊢ Hates(mac, pete), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12), (Mother(t3, t13) ∧ Rabbit(t13)), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Human(t5) ⊢ Hates(mac, pete), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12), (Mother(t3, t13) ∧ Rabbit(t13))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Rabbit(t3) ⊢ Hates(mac, pete), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Rabbit(t3), Human(t5) ⊢ Hates(mac, pete), (Rabbit(t1) ∧ Farmer(t11)), Mother(t2, t12)
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12) ⊢ Hates(mac, pete), (Rabbit(t1) ∧ Farmer(t11)), (Mother(t3, t13) ∧ Rabbit(t13)), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12), Human(t5) ⊢ Hates(mac, pete), (Rabbit(t1) ∧ Farmer(t11)), (Mother(t3, t13) ∧ Rabbit(t13))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12), Rabbit(t3) ⊢ Hates(mac, pete), (Rabbit(t1) ∧ Farmer(t11)), (Mother(t5, t14) ∧ Human(t14))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Loves(t2, t12), Rabbit(t3), Human(t5) ⊢ Hates(mac, pete), (Rabbit(t1) ∧ Farmer(t11))
33. Mother(mrsmac, mac), (∀r. (∀f. ((Rabbit(r) ∧ Farmer(f)) → Hates(f, r)))), Farmer(mac), Mother(mrsrabbit, pete), (∀m. (∀c. (Mother(m, c) → Loves(m, c)))), Rabbit(pete), (∀m. (∀r. ((Mother(m, r) ∧ Rabbit(r)) → Rabbit(m)))), (∀f. (Farmer(f) → Human(f))), (∀m. (∀h. ((Mother(m, h) ∧ Human(h)) → Human(m)))), (∀f. ((Rabbit(t1) ∧ Farmer(f)) → Hates(f, t1))), (∀c. (Mother(t2, c) → Loves(t2, c))), (∀r. ((Mother(t3, r) ∧ Rabbit(r)) → Rabbit(t3))), (∀h. ((Mother(t5, h) ∧ Human(h)) → Human(t5))), (∀f. ((Rabbit(t6) ∧ Farmer(f)) → Hates(f, t6))), (∀c. (Mother(t7, c) → Loves(t7, c))), (∀r. ((Mother(t8, r) ∧ Rabbit(r)) → Rabbit(t8))), (∀h. ((Mother(t10, h) ∧ Human(h)) → Human(t10))), Human(t4), (∀f. ((Rabbit(t15) ∧ Farmer(f)) → Hates(f, t15))), (∀c. (Mother(t16, c) → Loves(t16, c))), (∀r. ((Mother(t17, r) ∧ Rabbit(r)) → Rabbit(t17))), (Farmer(t18) → Human(t18)), (∀h. ((Mother(t19, h) ∧ Human(h)) → Human(t19))), ((Rabbit(t1) ∧ Farmer(t20)) → Hates(t20, t1)), (Mother(t2, t21) → Loves(t2, t21)), ((Mother(t3, t22) ∧ Rabbit(t22)) → Rabbit(t3)), ((Mother(t5, t23) ∧ Human(t23)) → Human(t5)), ((Rabbit(t6) ∧ Farmer(t24)) → Hates(t24, t6)), (Mother(t7, t25) → Loves(t7, t25)), ((Mother(t8, t26) ∧ Rabbit(t26)) → Rabbit(t8)), Human(t9), ((Mother(t10, t27) ∧ Human(t27)) → Human(t10)), Hates(t11, t1) ⊢ Hates(mac, pete), Mother(t2, t12), (Mother(t3, t13) ∧ Rabbit(t13)), (Mother(t5, t14) ∧ Human(t14))
t4 = mac
t2 = mrsmac
t12 = mac
t9 = mac
t5 = mrsmac
t14 = mac
t3 = mrsmac
t13 = mac
t1 = pete
t11 = mac
Lemma proven: Hates(mac, pete).

Exercises¶

Exercise: Cesare¶

Here is an example of Cesare (EAE-2) Syllogism.

No reptiles have fur.

All snakes are reptiles.

Therefore, No snakes have fur.

Correct the wrong statement below such that it will become correct proof.

statement=[

'axiom (forall x. not Reptile(x)) implies HaveFur',

'axiom forall x. Snake(x) implies Reptile(x)',

'axiom not (forall x. Snake(x)) implies HaveFur'

]

thp.prove(statement)

Interactive Mode Theorem Prover¶

If you are in interactive mode, the brief help is provided by this function.

In [21]:
thp.help()
First-Order Logic Theorem Prover
2014 Stephan Boyer
2017 Kardi Teknomo

Terms:

x               (variable)
f(term, ...)    (function)

Formulae:

P(term)        (predicate)
not P          (complement)
P or Q         (disjunction)
P and Q        (conjunction)
P implies Q    (implication)
forall x. P(x) (universal quantification)
exists x. P(x) (existential quantification)

Enter formulae at the prompt. The following commands are also available for manipulating axioms:

axioms              (list axioms)
lemmas              (list lemmas)
lemma <formula>     (prove and add a lemma)
remove <formula>    (remove an axiom or lemma)
reset               (remove all axioms and lemmas)
quit                (quit the program)

To use interactive mode, type:

thp.interactive()

A prompt will be shown and you type each proposition (start with axioms, lastly put lemma) or a command.

To exit the interactive mode, type at the prompt

quit

In [22]:
thp.interactive()
> exit
now I exit interactive mode

last update: September 2017

Cite this tutorial as: Teknomo,K. (2017) Tutorial on Automatic Theorem Prover (http://people.revoledu.com/kardi/tutorial/Python/)