TSTP Solution File: KLE010+2 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE010+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 02:14:34 EDT 2022
% Result : Theorem 1.32s 1.47s
% Output : CNFRefutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 97
% Syntax : Number of formulae : 472 ( 236 unt; 0 def)
% Number of atoms : 852 ( 655 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 752 ( 372 ~; 325 |; 31 &)
% ( 18 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 429 ( 1 sgn 142 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [A,B] : addition(A,B) = addition(B,A) ).
fof(additive_associativity,axiom,
! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) ).
fof(additive_idempotence,axiom,
! [A] : addition(A,A) = A ).
fof(multiplicative_right_identity,axiom,
! [A] : multiplication(A,one) = A ).
fof(multiplicative_left_identity,axiom,
! [A] : multiplication(one,A) = A ).
fof(right_distributivity,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) ).
fof(left_distributivity,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) ).
fof(order,axiom,
! [A,B] :
( leq(A,B)
<=> addition(A,B) = B ) ).
fof(test_1,axiom,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ) ).
fof(test_2,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ) ).
fof(test_3,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ) ).
fof(goals,conjecture,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> ( leq(one,addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))))
& leq(addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))),one) ) ) ).
fof(subgoal_0,plain,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> leq(one,addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1)))) ),
inference(strip,[],[goals]) ).
fof(subgoal_1,plain,
! [X0,X1] :
( ( test(X1)
& test(X0)
& leq(one,addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1)))) )
=> leq(addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))),one) ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1] :
( ( test(X1)
& test(X0) )
=> leq(one,addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1)))) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0,X1] :
( ~ leq(one,addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))))
& test(X0)
& test(X1) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ leq(one,addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))
& test(skolemFOFtoCNF_X0)
& test(skolemFOFtoCNF_X1_1) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ leq(one,addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_0_4,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[additive_associativity]) ).
fof(normalize_0_6,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_8,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_10,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
test(skolemFOFtoCNF_X0),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_12,plain,
! [X0] :
( ~ test(X0)
| ! [X1] :
( c(X0) != X1
<=> ~ complement(X0,X1) ) ),
inference(canonicalize,[],[test_3]) ).
fof(normalize_0_13,plain,
! [X0] :
( ~ test(X0)
| ! [X1] :
( c(X0) != X1
<=> ~ complement(X0,X1) ) ),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X0,X1] :
( ( c(X0) != X1
| ~ test(X0)
| complement(X0,X1) )
& ( ~ complement(X0,X1)
| ~ test(X0)
| c(X0) = X1 ) ),
inference(clausify,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X0,X1] :
( c(X0) != X1
| ~ test(X0)
| complement(X0,X1) ),
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X0,X1] :
( ~ complement(X1,X0)
<=> ( addition(X0,X1) != one
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero ) ),
inference(canonicalize,[],[test_2]) ).
fof(normalize_0_17,plain,
! [X0,X1] :
( ~ complement(X1,X0)
<=> ( addition(X0,X1) != one
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero ) ),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X0,X1] :
( ( ~ complement(X1,X0)
| addition(X0,X1) = one )
& ( ~ complement(X1,X0)
| multiplication(X0,X1) = zero )
& ( ~ complement(X1,X0)
| multiplication(X1,X0) = zero )
& ( addition(X0,X1) != one
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero
| complement(X1,X0) ) ),
inference(clausify,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_21,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
test(skolemFOFtoCNF_X1_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_23,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_24,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(canonicalize,[],[order]) ).
fof(normalize_0_26,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [A,B] :
( ( addition(A,B) != B
| leq(A,B) )
& ( ~ leq(A,B)
| addition(A,B) = B ) ),
inference(clausify,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [A,B] :
( addition(A,B) != B
| leq(A,B) ),
inference(conjunct,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[additive_idempotence]) ).
fof(normalize_0_30,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_0_29]) ).
cnf(refute_0_0,plain,
~ leq(one,addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( multiplication(A,addition(B,C)) != addition(multiplication(A,B),multiplication(A,C))
| addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(A,addition(B,C)))),bind(Y,$fot(addition(multiplication(A,B),multiplication(A,C))))]]) ).
cnf(refute_0_6,plain,
addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(B,C)),addition(multiplication(A,B),multiplication(A,C))) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) = multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))),
inference(subst,[],[refute_0_6:[bind(A,$fot(c(skolemFOFtoCNF_X0))),bind(B,$fot(skolemFOFtoCNF_X1_1)),bind(C,$fot(c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_8,plain,
addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))),
introduced(tautology,[refl,[$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))]]) ).
cnf(refute_0_9,plain,
( addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) != multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) ),[1,1],$fot(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_10,plain,
( addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) != multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),
inference(resolve,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) )],[refute_0_7,refute_0_10]) ).
cnf(refute_0_12,plain,
addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))),
introduced(tautology,[refl,[$fot(addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))]]) ).
cnf(refute_0_13,plain,
( addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) != addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))
| addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) ),[1,1],$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))]]) ).
cnf(refute_0_14,plain,
( addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))
| addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))),
introduced(tautology,[refl,[$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))))]]) ).
cnf(refute_0_17,plain,
( addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) != addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))) ),[1,1],$fot(addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))]]) ).
cnf(refute_0_18,plain,
( addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) != addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),
inference(resolve,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_21,plain,
( addition(A,addition(B,C)) != addition(addition(A,B),C)
| addition(addition(A,B),C) = addition(A,addition(B,C)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(A,addition(B,C)))),bind(Y,$fot(addition(addition(A,B),C)))]]) ).
cnf(refute_0_22,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,C)),addition(addition(A,B),C)) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))),
inference(subst,[],[refute_0_22:[bind(A,$fot(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))),bind(B,$fot(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0))),bind(C,$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))]]) ).
cnf(refute_0_24,plain,
addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) = addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))),
inference(subst,[],[refute_0_22:[bind(A,$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)))),bind(B,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))),bind(C,$fot(addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))]]) ).
cnf(refute_0_25,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_26,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_25]) ).
cnf(refute_0_27,plain,
( addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) != addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))
| addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))
| addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))),bind(Y,$fot(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))),bind(Z,$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))))]]) ).
cnf(refute_0_28,plain,
( addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))
| addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))),addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) )],[refute_0_24,refute_0_27]) ).
cnf(refute_0_29,plain,
addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))),
inference(resolve,[$cnf( $equal(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_23,refute_0_28]) ).
cnf(refute_0_30,plain,
addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) = addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))),
inference(subst,[],[refute_0_22:[bind(A,$fot(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)))),bind(B,$fot(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1))),bind(C,$fot(multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_31,plain,
( addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) != addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))
| addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))
| addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))),bind(Y,$fot(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))),bind(Z,$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))))]]) ).
cnf(refute_0_32,plain,
( addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))
| addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))),addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))),
inference(resolve,[$cnf( $equal(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
( addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))),bind(Y,$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))))),bind(Z,$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))))]]) ).
cnf(refute_0_35,plain,
( addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_19,refute_0_35]) ).
cnf(refute_0_37,plain,
( addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| ~ leq(one,addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))))
| leq(one,addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) ),
introduced(tautology,[equality,[$cnf( ~ leq(one,addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) ),[1],$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))))]]) ).
cnf(refute_0_38,plain,
( ~ leq(one,addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))))
| leq(one,addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
~ leq(one,addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))),
inference(resolve,[$cnf( leq(one,addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) )],[refute_0_38,refute_0_0]) ).
cnf(refute_0_40,plain,
addition(X_15,addition(X_16,X_17)) = addition(addition(X_15,X_16),X_17),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_15)),bind(B,$fot(X_16)),bind(C,$fot(X_17))]]) ).
cnf(refute_0_41,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_42,plain,
addition(X_16,X_15) = addition(X_15,X_16),
inference(subst,[],[refute_0_41:[bind(A,$fot(X_16)),bind(B,$fot(X_15))]]) ).
cnf(refute_0_43,plain,
( addition(X_16,X_15) != addition(X_15,X_16)
| addition(X_15,X_16) = addition(X_16,X_15) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_16,X_15))),bind(Y,$fot(addition(X_15,X_16)))]]) ).
cnf(refute_0_44,plain,
addition(X_15,X_16) = addition(X_16,X_15),
inference(resolve,[$cnf( $equal(addition(X_16,X_15),addition(X_15,X_16)) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
( addition(X_15,X_16) != addition(X_16,X_15)
| addition(X_15,addition(X_16,X_17)) != addition(addition(X_15,X_16),X_17)
| addition(X_15,addition(X_16,X_17)) = addition(addition(X_16,X_15),X_17) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_15,addition(X_16,X_17)),addition(addition(X_15,X_16),X_17)) ),[1,0],$fot(addition(X_16,X_15))]]) ).
cnf(refute_0_46,plain,
( addition(X_15,addition(X_16,X_17)) != addition(addition(X_15,X_16),X_17)
| addition(X_15,addition(X_16,X_17)) = addition(addition(X_16,X_15),X_17) ),
inference(resolve,[$cnf( $equal(addition(X_15,X_16),addition(X_16,X_15)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
addition(X_15,addition(X_16,X_17)) = addition(addition(X_16,X_15),X_17),
inference(resolve,[$cnf( $equal(addition(X_15,addition(X_16,X_17)),addition(addition(X_15,X_16),X_17)) )],[refute_0_40,refute_0_46]) ).
cnf(refute_0_48,plain,
addition(addition(X_16,X_15),X_17) = addition(X_16,addition(X_15,X_17)),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_16)),bind(B,$fot(X_15)),bind(C,$fot(X_17))]]) ).
cnf(refute_0_49,plain,
( addition(X_15,addition(X_16,X_17)) != addition(addition(X_16,X_15),X_17)
| addition(addition(X_16,X_15),X_17) != addition(X_16,addition(X_15,X_17))
| addition(X_15,addition(X_16,X_17)) = addition(X_16,addition(X_15,X_17)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_15,addition(X_16,X_17)),addition(X_16,addition(X_15,X_17))) ),[0],$fot(addition(addition(X_16,X_15),X_17))]]) ).
cnf(refute_0_50,plain,
( addition(X_15,addition(X_16,X_17)) != addition(addition(X_16,X_15),X_17)
| addition(X_15,addition(X_16,X_17)) = addition(X_16,addition(X_15,X_17)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_16,X_15),X_17),addition(X_16,addition(X_15,X_17))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
addition(X_15,addition(X_16,X_17)) = addition(X_16,addition(X_15,X_17)),
inference(resolve,[$cnf( $equal(addition(X_15,addition(X_16,X_17)),addition(addition(X_16,X_15),X_17)) )],[refute_0_47,refute_0_50]) ).
cnf(refute_0_52,plain,
( addition(X_15,addition(X_16,X_17)) != addition(X_16,addition(X_15,X_17))
| addition(X_16,addition(X_15,X_17)) = addition(X_15,addition(X_16,X_17)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_15,addition(X_16,X_17)))),bind(Y,$fot(addition(X_16,addition(X_15,X_17))))]]) ).
cnf(refute_0_53,plain,
addition(X_16,addition(X_15,X_17)) = addition(X_15,addition(X_16,X_17)),
inference(resolve,[$cnf( $equal(addition(X_15,addition(X_16,X_17)),addition(X_16,addition(X_15,X_17))) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),
inference(subst,[],[refute_0_53:[bind(X_15,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))),bind(X_16,$fot(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))),bind(X_17,$fot(addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))]]) ).
cnf(refute_0_55,plain,
addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),
inference(subst,[],[refute_0_53:[bind(X_15,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))),bind(X_16,$fot(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0))),bind(X_17,$fot(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))]]) ).
cnf(refute_0_56,plain,
addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),
introduced(tautology,[refl,[$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))))]]) ).
cnf(refute_0_57,plain,
( addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) ),[1,1],$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))]]) ).
cnf(refute_0_58,plain,
( addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),
inference(resolve,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) )],[refute_0_55,refute_0_58]) ).
cnf(refute_0_60,plain,
( addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))))),bind(Y,$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))))),bind(Z,$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))))]]) ).
cnf(refute_0_61,plain,
( addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_54,refute_0_61]) ).
cnf(refute_0_63,plain,
( addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| ~ leq(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))))
| leq(one,addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) ),
introduced(tautology,[equality,[$cnf( ~ leq(one,addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) ),[1],$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))))]]) ).
cnf(refute_0_64,plain,
( ~ leq(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))))
| leq(one,addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
~ leq(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))),
inference(resolve,[$cnf( leq(one,addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_64,refute_0_39]) ).
cnf(refute_0_66,plain,
addition(multiplication(X_27,X_29),addition(multiplication(X_28,X_29),C)) = addition(addition(multiplication(X_27,X_29),multiplication(X_28,X_29)),C),
inference(subst,[],[refute_0_20:[bind(A,$fot(multiplication(X_27,X_29))),bind(B,$fot(multiplication(X_28,X_29)))]]) ).
cnf(refute_0_67,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_68,plain,
multiplication(addition(X_27,X_28),X_29) = addition(multiplication(X_27,X_29),multiplication(X_28,X_29)),
inference(subst,[],[refute_0_67:[bind(A,$fot(X_27)),bind(B,$fot(X_28)),bind(C,$fot(X_29))]]) ).
cnf(refute_0_69,plain,
( multiplication(addition(X_27,X_28),X_29) != addition(multiplication(X_27,X_29),multiplication(X_28,X_29))
| addition(multiplication(X_27,X_29),multiplication(X_28,X_29)) = multiplication(addition(X_27,X_28),X_29) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(addition(X_27,X_28),X_29))),bind(Y,$fot(addition(multiplication(X_27,X_29),multiplication(X_28,X_29))))]]) ).
cnf(refute_0_70,plain,
addition(multiplication(X_27,X_29),multiplication(X_28,X_29)) = multiplication(addition(X_27,X_28),X_29),
inference(resolve,[$cnf( $equal(multiplication(addition(X_27,X_28),X_29),addition(multiplication(X_27,X_29),multiplication(X_28,X_29))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
( addition(multiplication(X_27,X_29),addition(multiplication(X_28,X_29),C)) != addition(addition(multiplication(X_27,X_29),multiplication(X_28,X_29)),C)
| addition(multiplication(X_27,X_29),multiplication(X_28,X_29)) != multiplication(addition(X_27,X_28),X_29)
| addition(multiplication(X_27,X_29),addition(multiplication(X_28,X_29),C)) = addition(multiplication(addition(X_27,X_28),X_29),C) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_27,X_29),addition(multiplication(X_28,X_29),C)),addition(addition(multiplication(X_27,X_29),multiplication(X_28,X_29)),C)) ),[1,0],$fot(multiplication(addition(X_27,X_28),X_29))]]) ).
cnf(refute_0_72,plain,
( addition(multiplication(X_27,X_29),addition(multiplication(X_28,X_29),C)) != addition(addition(multiplication(X_27,X_29),multiplication(X_28,X_29)),C)
| addition(multiplication(X_27,X_29),addition(multiplication(X_28,X_29),C)) = addition(multiplication(addition(X_27,X_28),X_29),C) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_27,X_29),multiplication(X_28,X_29)),multiplication(addition(X_27,X_28),X_29)) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
addition(multiplication(X_27,X_29),addition(multiplication(X_28,X_29),C)) = addition(multiplication(addition(X_27,X_28),X_29),C),
inference(resolve,[$cnf( $equal(addition(multiplication(X_27,X_29),addition(multiplication(X_28,X_29),C)),addition(addition(multiplication(X_27,X_29),multiplication(X_28,X_29)),C)) )],[refute_0_66,refute_0_72]) ).
cnf(refute_0_74,plain,
addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),
inference(subst,[],[refute_0_73:[bind(C,$fot(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),bind(X_27,$fot(skolemFOFtoCNF_X1_1)),bind(X_28,$fot(c(skolemFOFtoCNF_X1_1))),bind(X_29,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_75,plain,
addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),
introduced(tautology,[refl,[$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))))]]) ).
cnf(refute_0_76,plain,
( addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) != addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) ),[1,1],$fot(addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))]]) ).
cnf(refute_0_77,plain,
( addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) != addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) )],[refute_0_74,refute_0_77]) ).
cnf(refute_0_79,plain,
( addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))
| ~ leq(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| leq(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) ),
introduced(tautology,[equality,[$cnf( ~ leq(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) ),[1],$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))]]) ).
cnf(refute_0_80,plain,
( ~ leq(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| leq(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
~ leq(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),
inference(resolve,[$cnf( leq(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_80,refute_0_65]) ).
cnf(refute_0_82,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_83,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_41,refute_0_82]) ).
cnf(refute_0_84,plain,
addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one) = addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),
inference(subst,[],[refute_0_83:[bind(A,$fot(one)),bind(B,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_85,plain,
test(skolemFOFtoCNF_X0),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_86,plain,
( c(X0) != X1
| ~ test(X0)
| complement(X0,X1) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_87,plain,
( c(X0) != c(X0)
| ~ test(X0)
| complement(X0,c(X0)) ),
inference(subst,[],[refute_0_86:[bind(X1,$fot(c(X0)))]]) ).
cnf(refute_0_88,plain,
c(X0) = c(X0),
introduced(tautology,[refl,[$fot(c(X0))]]) ).
cnf(refute_0_89,plain,
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(resolve,[$cnf( $equal(c(X0),c(X0)) )],[refute_0_88,refute_0_87]) ).
cnf(refute_0_90,plain,
( ~ test(skolemFOFtoCNF_X0)
| complement(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_89:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_91,plain,
complement(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( test(skolemFOFtoCNF_X0) )],[refute_0_85,refute_0_90]) ).
cnf(refute_0_92,plain,
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_93,plain,
( ~ complement(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))
| addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = one ),
inference(subst,[],[refute_0_92:[bind(X0,$fot(c(skolemFOFtoCNF_X0))),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_94,plain,
addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = one,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) )],[refute_0_91,refute_0_93]) ).
cnf(refute_0_95,plain,
addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(c(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_96,plain,
( addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))
| addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != one
| addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one) ),[0],$fot(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_97,plain,
( addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != one
| addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) = one ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) = one,
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one) )],[refute_0_94,refute_0_97]) ).
cnf(refute_0_99,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_100,plain,
multiplication(c(skolemFOFtoCNF_X0),one) = c(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_99:[bind(A,$fot(c(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_101,plain,
test(skolemFOFtoCNF_X1_1),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_102,plain,
( ~ test(skolemFOFtoCNF_X1_1)
| complement(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) ),
inference(subst,[],[refute_0_89:[bind(X0,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_103,plain,
complement(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( test(skolemFOFtoCNF_X1_1) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
( ~ complement(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))
| addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) = one ),
inference(subst,[],[refute_0_92:[bind(X0,$fot(c(skolemFOFtoCNF_X1_1))),bind(X1,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_105,plain,
addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) = one,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) = addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_X1_1)),bind(B,$fot(c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_107,plain,
( addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) != addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))
| addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) != one
| addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),one) ),[0],$fot(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_108,plain,
( addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) != one
| addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) = one ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) = one,
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),one) )],[refute_0_105,refute_0_108]) ).
cnf(refute_0_110,plain,
multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) = multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))),
introduced(tautology,[refl,[$fot(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_111,plain,
( addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) != one
| multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) != multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))
| multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) = multiplication(c(skolemFOFtoCNF_X0),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_112,plain,
( addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) != one
| multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) = multiplication(c(skolemFOFtoCNF_X0),one) ),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) = multiplication(c(skolemFOFtoCNF_X0),one),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),one) )],[refute_0_109,refute_0_112]) ).
cnf(refute_0_114,plain,
( multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) != multiplication(c(skolemFOFtoCNF_X0),one)
| multiplication(c(skolemFOFtoCNF_X0),one) != c(skolemFOFtoCNF_X0)
| multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) = c(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),bind(Y,$fot(multiplication(c(skolemFOFtoCNF_X0),one))),bind(Z,$fot(c(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_115,plain,
( multiplication(c(skolemFOFtoCNF_X0),one) != c(skolemFOFtoCNF_X0)
| multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) = c(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))),multiplication(c(skolemFOFtoCNF_X0),one)) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) = c(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),one),c(skolemFOFtoCNF_X0)) )],[refute_0_100,refute_0_115]) ).
cnf(refute_0_117,plain,
addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),
introduced(tautology,[refl,[$fot(addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))]]) ).
cnf(refute_0_118,plain,
( addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) != addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))
| multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) != c(skolemFOFtoCNF_X0)
| addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) ),[1,1],$fot(c(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_119,plain,
( multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) != c(skolemFOFtoCNF_X0)
| addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))),c(skolemFOFtoCNF_X0)) )],[refute_0_116,refute_0_119]) ).
cnf(refute_0_121,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_122,plain,
multiplication(one,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_123,plain,
multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0) = multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),
introduced(tautology,[refl,[$fot(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_124,plain,
( addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) != one
| multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0) != multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0)
| multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0) = multiplication(one,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_125,plain,
( addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) != one
| multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0) = multiplication(one,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0)) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0) = multiplication(one,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),one) )],[refute_0_109,refute_0_125]) ).
cnf(refute_0_127,plain,
( multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0) != multiplication(one,skolemFOFtoCNF_X0)
| multiplication(one,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_26:[bind(X,$fot(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0))),bind(Y,$fot(multiplication(one,skolemFOFtoCNF_X0))),bind(Z,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_128,plain,
( multiplication(one,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(one,skolemFOFtoCNF_X0)) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(multiplication(one,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_122,refute_0_128]) ).
cnf(refute_0_130,plain,
addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),
introduced(tautology,[refl,[$fot(addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))]]) ).
cnf(refute_0_131,plain,
( addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) != addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))
| multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_132,plain,
( multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),
inference(resolve,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_129,refute_0_132]) ).
cnf(refute_0_134,plain,
( addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) != addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))
| addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) != addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))
| addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),bind(Y,$fot(addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),bind(Z,$fot(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_135,plain,
( addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) != addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))
| addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) )],[refute_0_120,refute_0_135]) ).
cnf(refute_0_137,plain,
( addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) != addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))
| addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) != one
| addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = one ),
inference(subst,[],[refute_0_26:[bind(X,$fot(addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),bind(Y,$fot(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_138,plain,
( addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) != one
| addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = one ),
inference(resolve,[$cnf( $equal(addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = one,
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),one) )],[refute_0_98,refute_0_138]) ).
cnf(refute_0_140,plain,
addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),
introduced(tautology,[refl,[$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))]]) ).
cnf(refute_0_141,plain,
( addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) != one
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_142,plain,
( addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) != one
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one),
inference(resolve,[$cnf( $equal(addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),one) )],[refute_0_139,refute_0_142]) ).
cnf(refute_0_144,plain,
( addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one)
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one) != addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) = addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))),bind(Y,$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one))),bind(Z,$fot(addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_145,plain,
( addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one) != addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) = addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one)) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) = addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one),addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))) )],[refute_0_84,refute_0_145]) ).
cnf(refute_0_147,plain,
( addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) != addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))
| ~ leq(one,addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)))
| leq(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),
introduced(tautology,[equality,[$cnf( ~ leq(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),[1],$fot(addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_148,plain,
( ~ leq(one,addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)))
| leq(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
~ leq(one,addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))),
inference(resolve,[$cnf( leq(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) )],[refute_0_148,refute_0_81]) ).
cnf(refute_0_150,plain,
( addition(A,B) != B
| leq(A,B) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_151,plain,
( addition(X_47,addition(X_47,X_17)) != addition(X_47,X_17)
| leq(X_47,addition(X_47,X_17)) ),
inference(subst,[],[refute_0_150:[bind(A,$fot(X_47)),bind(B,$fot(addition(X_47,X_17)))]]) ).
cnf(refute_0_152,plain,
addition(X_16,addition(X_16,X_17)) = addition(addition(X_16,X_16),X_17),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_16)),bind(B,$fot(X_16)),bind(C,$fot(X_17))]]) ).
cnf(refute_0_153,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_154,plain,
addition(X_16,X_16) = X_16,
inference(subst,[],[refute_0_153:[bind(A,$fot(X_16))]]) ).
cnf(refute_0_155,plain,
( addition(X_16,X_16) != X_16
| addition(X_16,addition(X_16,X_17)) != addition(addition(X_16,X_16),X_17)
| addition(X_16,addition(X_16,X_17)) = addition(X_16,X_17) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_16,addition(X_16,X_17)),addition(addition(X_16,X_16),X_17)) ),[1,0],$fot(X_16)]]) ).
cnf(refute_0_156,plain,
( addition(X_16,addition(X_16,X_17)) != addition(addition(X_16,X_16),X_17)
| addition(X_16,addition(X_16,X_17)) = addition(X_16,X_17) ),
inference(resolve,[$cnf( $equal(addition(X_16,X_16),X_16) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
addition(X_16,addition(X_16,X_17)) = addition(X_16,X_17),
inference(resolve,[$cnf( $equal(addition(X_16,addition(X_16,X_17)),addition(addition(X_16,X_16),X_17)) )],[refute_0_152,refute_0_156]) ).
cnf(refute_0_158,plain,
addition(X_47,addition(X_47,X_17)) = addition(X_47,X_17),
inference(subst,[],[refute_0_157:[bind(X_16,$fot(X_47))]]) ).
cnf(refute_0_159,plain,
( addition(X_47,X_17) != addition(X_47,X_17)
| addition(X_47,addition(X_47,X_17)) != addition(X_47,X_17)
| addition(X_47,addition(X_47,X_17)) = addition(X_47,X_17) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_47,addition(X_47,X_17)),addition(X_47,X_17)) ),[0,1],$fot(addition(X_47,X_17))]]) ).
cnf(refute_0_160,plain,
( addition(X_47,X_17) != addition(X_47,X_17)
| addition(X_47,addition(X_47,X_17)) = addition(X_47,X_17) ),
inference(resolve,[$cnf( $equal(addition(X_47,addition(X_47,X_17)),addition(X_47,X_17)) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
( addition(X_47,X_17) != addition(X_47,X_17)
| leq(X_47,addition(X_47,X_17)) ),
inference(resolve,[$cnf( $equal(addition(X_47,addition(X_47,X_17)),addition(X_47,X_17)) )],[refute_0_160,refute_0_151]) ).
cnf(refute_0_162,plain,
addition(X_47,X_17) = addition(X_47,X_17),
introduced(tautology,[refl,[$fot(addition(X_47,X_17))]]) ).
cnf(refute_0_163,plain,
leq(X_47,addition(X_47,X_17)),
inference(resolve,[$cnf( $equal(addition(X_47,X_17),addition(X_47,X_17)) )],[refute_0_162,refute_0_161]) ).
cnf(refute_0_164,plain,
leq(one,addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))),
inference(subst,[],[refute_0_163:[bind(X_17,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))),bind(X_47,$fot(one))]]) ).
cnf(refute_0_165,plain,
$false,
inference(resolve,[$cnf( leq(one,addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))) )],[refute_0_164,refute_0_149]) ).
fof(negate_1_0,plain,
~ ! [X0,X1] :
( ( test(X1)
& test(X0)
& leq(one,addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1)))) )
=> leq(addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))),one) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
? [X0,X1] :
( ~ leq(addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))),one)
& leq(one,addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))))
& test(X0)
& test(X1) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( ~ leq(addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))),one)
& leq(one,addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))
& test(skolemFOFtoCNF_X0_1)
& test(skolemFOFtoCNF_X1_2) ),
inference(skolemize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
~ leq(addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))),one),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_1_4,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[additive_associativity]) ).
fof(normalize_1_6,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(specialize,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_1_8,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_1_10,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_1_9]) ).
fof(normalize_1_11,plain,
test(skolemFOFtoCNF_X0_1),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_12,plain,
! [X0] :
( ~ test(X0)
| ! [X1] :
( c(X0) != X1
<=> ~ complement(X0,X1) ) ),
inference(canonicalize,[],[test_3]) ).
fof(normalize_1_13,plain,
! [X0] :
( ~ test(X0)
| ! [X1] :
( c(X0) != X1
<=> ~ complement(X0,X1) ) ),
inference(specialize,[],[normalize_1_12]) ).
fof(normalize_1_14,plain,
! [X0,X1] :
( ( c(X0) != X1
| ~ test(X0)
| complement(X0,X1) )
& ( ~ complement(X0,X1)
| ~ test(X0)
| c(X0) = X1 ) ),
inference(clausify,[],[normalize_1_13]) ).
fof(normalize_1_15,plain,
! [X0,X1] :
( c(X0) != X1
| ~ test(X0)
| complement(X0,X1) ),
inference(conjunct,[],[normalize_1_14]) ).
fof(normalize_1_16,plain,
! [X0,X1] :
( ~ complement(X1,X0)
<=> ( addition(X0,X1) != one
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero ) ),
inference(canonicalize,[],[test_2]) ).
fof(normalize_1_17,plain,
! [X0,X1] :
( ~ complement(X1,X0)
<=> ( addition(X0,X1) != one
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero ) ),
inference(specialize,[],[normalize_1_16]) ).
fof(normalize_1_18,plain,
! [X0,X1] :
( ( ~ complement(X1,X0)
| addition(X0,X1) = one )
& ( ~ complement(X1,X0)
| multiplication(X0,X1) = zero )
& ( ~ complement(X1,X0)
| multiplication(X1,X0) = zero )
& ( addition(X0,X1) != one
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero
| complement(X1,X0) ) ),
inference(clausify,[],[normalize_1_17]) ).
fof(normalize_1_19,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_20,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_1_21,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_1_20]) ).
fof(normalize_1_22,plain,
test(skolemFOFtoCNF_X1_2),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_23,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_1_24,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_1_23]) ).
fof(normalize_1_25,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[additive_idempotence]) ).
fof(normalize_1_26,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_1_25]) ).
fof(normalize_1_27,plain,
! [X0] :
( ~ test(X0)
<=> ! [X1] : ~ complement(X1,X0) ),
inference(canonicalize,[],[test_1]) ).
fof(normalize_1_28,plain,
! [X0] :
( ~ test(X0)
<=> ! [X1] : ~ complement(X1,X0) ),
inference(specialize,[],[normalize_1_27]) ).
fof(normalize_1_29,plain,
! [X0,X1] :
( ( ~ complement(X1,X0)
| test(X0) )
& ( ~ test(X0)
| complement(skolemFOFtoCNF_X1(X0),X0) ) ),
inference(clausify,[],[normalize_1_28]) ).
fof(normalize_1_30,plain,
! [X0] :
( ~ test(X0)
| complement(skolemFOFtoCNF_X1(X0),X0) ),
inference(conjunct,[],[normalize_1_29]) ).
fof(normalize_1_31,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(canonicalize,[],[order]) ).
fof(normalize_1_32,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(specialize,[],[normalize_1_31]) ).
fof(normalize_1_33,plain,
! [A,B] :
( ( addition(A,B) != B
| leq(A,B) )
& ( ~ leq(A,B)
| addition(A,B) = B ) ),
inference(clausify,[],[normalize_1_32]) ).
fof(normalize_1_34,plain,
! [A,B] :
( addition(A,B) != B
| leq(A,B) ),
inference(conjunct,[],[normalize_1_33]) ).
cnf(refute_1_0,plain,
~ leq(addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))),one),
inference(canonicalize,[],[normalize_1_2]) ).
cnf(refute_1_1,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_1_4]) ).
cnf(refute_1_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_2,refute_1_3]) ).
cnf(refute_1_5,plain,
( multiplication(A,addition(B,C)) != addition(multiplication(A,B),multiplication(A,C))
| addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(multiplication(A,addition(B,C)))),bind(Y,$fot(addition(multiplication(A,B),multiplication(A,C))))]]) ).
cnf(refute_1_6,plain,
addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(B,C)),addition(multiplication(A,B),multiplication(A,C))) )],[refute_1_1,refute_1_5]) ).
cnf(refute_1_7,plain,
addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))) = multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))),
inference(subst,[],[refute_1_6:[bind(A,$fot(c(skolemFOFtoCNF_X0_1))),bind(B,$fot(skolemFOFtoCNF_X1_2)),bind(C,$fot(c(skolemFOFtoCNF_X1_2)))]]) ).
cnf(refute_1_8,plain,
addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))) = addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))),
introduced(tautology,[refl,[$fot(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))]]) ).
cnf(refute_1_9,plain,
( addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))) != multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))
| addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))) != addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))
| addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))) = addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))) ),[1,1],$fot(multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))]]) ).
cnf(refute_1_10,plain,
( addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))) != multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))
| addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))) = addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))) )],[refute_1_8,refute_1_9]) ).
cnf(refute_1_11,plain,
addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))) = addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))),
inference(resolve,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) )],[refute_1_7,refute_1_10]) ).
cnf(refute_1_12,plain,
addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))) = addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))),
introduced(tautology,[refl,[$fot(addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))))]]) ).
cnf(refute_1_13,plain,
( addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))) != addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))
| addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))) != addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))
| addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))) = addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))) ),[1,1],$fot(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))]]) ).
cnf(refute_1_14,plain,
( addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))) != addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))
| addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))) = addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))) )],[refute_1_12,refute_1_13]) ).
cnf(refute_1_15,plain,
addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))) = addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) )],[refute_1_11,refute_1_14]) ).
cnf(refute_1_16,plain,
addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))) = addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))),
introduced(tautology,[refl,[$fot(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))))]]) ).
cnf(refute_1_17,plain,
( addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))) != addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))
| addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))) != addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))))
| addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))) = addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))))) ),[1,1],$fot(addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))]]) ).
cnf(refute_1_18,plain,
( addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))) != addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))
| addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))) = addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))))) )],[refute_1_16,refute_1_17]) ).
cnf(refute_1_19,plain,
addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))) = addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),
inference(resolve,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) )],[refute_1_15,refute_1_18]) ).
cnf(refute_1_20,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_21,plain,
( addition(A,addition(B,C)) != addition(addition(A,B),C)
| addition(addition(A,B),C) = addition(A,addition(B,C)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(addition(A,addition(B,C)))),bind(Y,$fot(addition(addition(A,B),C)))]]) ).
cnf(refute_1_22,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,C)),addition(addition(A,B),C)) )],[refute_1_20,refute_1_21]) ).
cnf(refute_1_23,plain,
addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))) = addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))),
inference(subst,[],[refute_1_22:[bind(A,$fot(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1))),bind(B,$fot(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1))),bind(C,$fot(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))))]]) ).
cnf(refute_1_24,plain,
addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))) = addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))),
inference(subst,[],[refute_1_22:[bind(A,$fot(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)))),bind(B,$fot(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))),bind(C,$fot(addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))]]) ).
cnf(refute_1_25,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_1_26,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_4,refute_1_25]) ).
cnf(refute_1_27,plain,
( addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))) != addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))
| addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))) != addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))))
| addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))) = addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))) ),
inference(subst,[],[refute_1_26:[bind(X,$fot(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))),bind(Y,$fot(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))))),bind(Z,$fot(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))))))]]) ).
cnf(refute_1_28,plain,
( addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))) != addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))))
| addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))) = addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))),addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))) )],[refute_1_24,refute_1_27]) ).
cnf(refute_1_29,plain,
addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))) = addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))),
inference(resolve,[$cnf( $equal(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))))) )],[refute_1_23,refute_1_28]) ).
cnf(refute_1_30,plain,
addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))) = addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))),
inference(subst,[],[refute_1_22:[bind(A,$fot(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)))),bind(B,$fot(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2))),bind(C,$fot(multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))]]) ).
cnf(refute_1_31,plain,
( addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))) != addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))
| addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))) != addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))))
| addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))) = addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))) ),
inference(subst,[],[refute_1_26:[bind(X,$fot(addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))),bind(Y,$fot(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))),bind(Z,$fot(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))))))]]) ).
cnf(refute_1_32,plain,
( addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))) != addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))))
| addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))) = addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))),addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))) )],[refute_1_30,refute_1_31]) ).
cnf(refute_1_33,plain,
addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))) = addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))),
inference(resolve,[$cnf( $equal(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))))) )],[refute_1_29,refute_1_32]) ).
cnf(refute_1_34,plain,
( addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))) != addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))))
| addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))) != addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))
| addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))) = addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) ),
inference(subst,[],[refute_1_26:[bind(X,$fot(addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))),bind(Y,$fot(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))))),bind(Z,$fot(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))))]]) ).
cnf(refute_1_35,plain,
( addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))) != addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))
| addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))) = addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))))))) )],[refute_1_33,refute_1_34]) ).
cnf(refute_1_36,plain,
addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))) = addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2)))))),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))) )],[refute_1_19,refute_1_35]) ).
cnf(refute_1_37,plain,
( addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))) != addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))
| ~ leq(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),one)
| leq(addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))),one) ),
introduced(tautology,[equality,[$cnf( ~ leq(addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))),one) ),[0],$fot(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))))]]) ).
cnf(refute_1_38,plain,
( ~ leq(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),one)
| leq(addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))),one) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))) )],[refute_1_36,refute_1_37]) ).
cnf(refute_1_39,plain,
~ leq(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),one),
inference(resolve,[$cnf( leq(addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1)),multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X1_2)),multiplication(c(skolemFOFtoCNF_X0_1),c(skolemFOFtoCNF_X1_2))),one) )],[refute_1_38,refute_1_0]) ).
cnf(refute_1_40,plain,
addition(X_91,addition(X_92,X_93)) = addition(addition(X_91,X_92),X_93),
inference(subst,[],[refute_1_20:[bind(A,$fot(X_91)),bind(B,$fot(X_92)),bind(C,$fot(X_93))]]) ).
cnf(refute_1_41,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_42,plain,
addition(X_92,X_91) = addition(X_91,X_92),
inference(subst,[],[refute_1_41:[bind(A,$fot(X_92)),bind(B,$fot(X_91))]]) ).
cnf(refute_1_43,plain,
( addition(X_92,X_91) != addition(X_91,X_92)
| addition(X_91,X_92) = addition(X_92,X_91) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(addition(X_92,X_91))),bind(Y,$fot(addition(X_91,X_92)))]]) ).
cnf(refute_1_44,plain,
addition(X_91,X_92) = addition(X_92,X_91),
inference(resolve,[$cnf( $equal(addition(X_92,X_91),addition(X_91,X_92)) )],[refute_1_42,refute_1_43]) ).
cnf(refute_1_45,plain,
( addition(X_91,X_92) != addition(X_92,X_91)
| addition(X_91,addition(X_92,X_93)) != addition(addition(X_91,X_92),X_93)
| addition(X_91,addition(X_92,X_93)) = addition(addition(X_92,X_91),X_93) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_91,addition(X_92,X_93)),addition(addition(X_91,X_92),X_93)) ),[1,0],$fot(addition(X_92,X_91))]]) ).
cnf(refute_1_46,plain,
( addition(X_91,addition(X_92,X_93)) != addition(addition(X_91,X_92),X_93)
| addition(X_91,addition(X_92,X_93)) = addition(addition(X_92,X_91),X_93) ),
inference(resolve,[$cnf( $equal(addition(X_91,X_92),addition(X_92,X_91)) )],[refute_1_44,refute_1_45]) ).
cnf(refute_1_47,plain,
addition(X_91,addition(X_92,X_93)) = addition(addition(X_92,X_91),X_93),
inference(resolve,[$cnf( $equal(addition(X_91,addition(X_92,X_93)),addition(addition(X_91,X_92),X_93)) )],[refute_1_40,refute_1_46]) ).
cnf(refute_1_48,plain,
addition(addition(X_92,X_91),X_93) = addition(X_92,addition(X_91,X_93)),
inference(subst,[],[refute_1_22:[bind(A,$fot(X_92)),bind(B,$fot(X_91)),bind(C,$fot(X_93))]]) ).
cnf(refute_1_49,plain,
( addition(X_91,addition(X_92,X_93)) != addition(addition(X_92,X_91),X_93)
| addition(addition(X_92,X_91),X_93) != addition(X_92,addition(X_91,X_93))
| addition(X_91,addition(X_92,X_93)) = addition(X_92,addition(X_91,X_93)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_91,addition(X_92,X_93)),addition(X_92,addition(X_91,X_93))) ),[0],$fot(addition(addition(X_92,X_91),X_93))]]) ).
cnf(refute_1_50,plain,
( addition(X_91,addition(X_92,X_93)) != addition(addition(X_92,X_91),X_93)
| addition(X_91,addition(X_92,X_93)) = addition(X_92,addition(X_91,X_93)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_92,X_91),X_93),addition(X_92,addition(X_91,X_93))) )],[refute_1_48,refute_1_49]) ).
cnf(refute_1_51,plain,
addition(X_91,addition(X_92,X_93)) = addition(X_92,addition(X_91,X_93)),
inference(resolve,[$cnf( $equal(addition(X_91,addition(X_92,X_93)),addition(addition(X_92,X_91),X_93)) )],[refute_1_47,refute_1_50]) ).
cnf(refute_1_52,plain,
( addition(X_91,addition(X_92,X_93)) != addition(X_92,addition(X_91,X_93))
| addition(X_92,addition(X_91,X_93)) = addition(X_91,addition(X_92,X_93)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(addition(X_91,addition(X_92,X_93)))),bind(Y,$fot(addition(X_92,addition(X_91,X_93))))]]) ).
cnf(refute_1_53,plain,
addition(X_92,addition(X_91,X_93)) = addition(X_91,addition(X_92,X_93)),
inference(resolve,[$cnf( $equal(addition(X_91,addition(X_92,X_93)),addition(X_92,addition(X_91,X_93))) )],[refute_1_51,refute_1_52]) ).
cnf(refute_1_54,plain,
addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) = addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),
inference(subst,[],[refute_1_53:[bind(X_91,$fot(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))),bind(X_92,$fot(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1))),bind(X_93,$fot(addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))]]) ).
cnf(refute_1_55,plain,
addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) = addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))),
inference(subst,[],[refute_1_53:[bind(X_91,$fot(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))),bind(X_92,$fot(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1))),bind(X_93,$fot(multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))]]) ).
cnf(refute_1_56,plain,
addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) = addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),
introduced(tautology,[refl,[$fot(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))))]]) ).
cnf(refute_1_57,plain,
( addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) != addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))
| addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) != addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))
| addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) = addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))) ),[1,1],$fot(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))]]) ).
cnf(refute_1_58,plain,
( addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) != addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))
| addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) = addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))) )],[refute_1_56,refute_1_57]) ).
cnf(refute_1_59,plain,
addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) = addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),
inference(resolve,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) )],[refute_1_55,refute_1_58]) ).
cnf(refute_1_60,plain,
( addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) != addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))
| addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) != addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))
| addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) = addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) ),
inference(subst,[],[refute_1_26:[bind(X,$fot(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))))),bind(Y,$fot(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))))),bind(Z,$fot(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))))]]) ).
cnf(refute_1_61,plain,
( addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) != addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))
| addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) = addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))) )],[refute_1_59,refute_1_60]) ).
cnf(refute_1_62,plain,
addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) = addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))) )],[refute_1_54,refute_1_61]) ).
cnf(refute_1_63,plain,
( addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) != addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))
| ~ leq(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),one)
| leq(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),one) ),
introduced(tautology,[equality,[$cnf( ~ leq(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),one) ),[0],$fot(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))))]]) ).
cnf(refute_1_64,plain,
( ~ leq(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),one)
| leq(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),one) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))) )],[refute_1_62,refute_1_63]) ).
cnf(refute_1_65,plain,
~ leq(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),one),
inference(resolve,[$cnf( leq(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),one) )],[refute_1_64,refute_1_39]) ).
cnf(refute_1_66,plain,
addition(multiplication(X_110,X_112),addition(multiplication(X_111,X_112),C)) = addition(addition(multiplication(X_110,X_112),multiplication(X_111,X_112)),C),
inference(subst,[],[refute_1_20:[bind(A,$fot(multiplication(X_110,X_112))),bind(B,$fot(multiplication(X_111,X_112)))]]) ).
cnf(refute_1_67,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_68,plain,
multiplication(addition(X_110,X_111),X_112) = addition(multiplication(X_110,X_112),multiplication(X_111,X_112)),
inference(subst,[],[refute_1_67:[bind(A,$fot(X_110)),bind(B,$fot(X_111)),bind(C,$fot(X_112))]]) ).
cnf(refute_1_69,plain,
( multiplication(addition(X_110,X_111),X_112) != addition(multiplication(X_110,X_112),multiplication(X_111,X_112))
| addition(multiplication(X_110,X_112),multiplication(X_111,X_112)) = multiplication(addition(X_110,X_111),X_112) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(multiplication(addition(X_110,X_111),X_112))),bind(Y,$fot(addition(multiplication(X_110,X_112),multiplication(X_111,X_112))))]]) ).
cnf(refute_1_70,plain,
addition(multiplication(X_110,X_112),multiplication(X_111,X_112)) = multiplication(addition(X_110,X_111),X_112),
inference(resolve,[$cnf( $equal(multiplication(addition(X_110,X_111),X_112),addition(multiplication(X_110,X_112),multiplication(X_111,X_112))) )],[refute_1_68,refute_1_69]) ).
cnf(refute_1_71,plain,
( addition(multiplication(X_110,X_112),addition(multiplication(X_111,X_112),C)) != addition(addition(multiplication(X_110,X_112),multiplication(X_111,X_112)),C)
| addition(multiplication(X_110,X_112),multiplication(X_111,X_112)) != multiplication(addition(X_110,X_111),X_112)
| addition(multiplication(X_110,X_112),addition(multiplication(X_111,X_112),C)) = addition(multiplication(addition(X_110,X_111),X_112),C) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_110,X_112),addition(multiplication(X_111,X_112),C)),addition(addition(multiplication(X_110,X_112),multiplication(X_111,X_112)),C)) ),[1,0],$fot(multiplication(addition(X_110,X_111),X_112))]]) ).
cnf(refute_1_72,plain,
( addition(multiplication(X_110,X_112),addition(multiplication(X_111,X_112),C)) != addition(addition(multiplication(X_110,X_112),multiplication(X_111,X_112)),C)
| addition(multiplication(X_110,X_112),addition(multiplication(X_111,X_112),C)) = addition(multiplication(addition(X_110,X_111),X_112),C) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_110,X_112),multiplication(X_111,X_112)),multiplication(addition(X_110,X_111),X_112)) )],[refute_1_70,refute_1_71]) ).
cnf(refute_1_73,plain,
addition(multiplication(X_110,X_112),addition(multiplication(X_111,X_112),C)) = addition(multiplication(addition(X_110,X_111),X_112),C),
inference(resolve,[$cnf( $equal(addition(multiplication(X_110,X_112),addition(multiplication(X_111,X_112),C)),addition(addition(multiplication(X_110,X_112),multiplication(X_111,X_112)),C)) )],[refute_1_66,refute_1_72]) ).
cnf(refute_1_74,plain,
addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) = addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))),
inference(subst,[],[refute_1_73:[bind(C,$fot(multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))),bind(X_110,$fot(skolemFOFtoCNF_X1_2)),bind(X_111,$fot(c(skolemFOFtoCNF_X1_2))),bind(X_112,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_75,plain,
addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) = addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),
introduced(tautology,[refl,[$fot(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))))]]) ).
cnf(refute_1_76,plain,
( addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) != addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))
| addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) != addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))
| addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) = addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))) ),[1,1],$fot(addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))]]) ).
cnf(refute_1_77,plain,
( addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) != addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))
| addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) = addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))) )],[refute_1_75,refute_1_76]) ).
cnf(refute_1_78,plain,
addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) = addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) )],[refute_1_74,refute_1_77]) ).
cnf(refute_1_79,plain,
( addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) != addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))
| ~ leq(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))),one)
| leq(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),one) ),
introduced(tautology,[equality,[$cnf( ~ leq(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),one) ),[0],$fot(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))]]) ).
cnf(refute_1_80,plain,
( ~ leq(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))),one)
| leq(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),one) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) )],[refute_1_78,refute_1_79]) ).
cnf(refute_1_81,plain,
~ leq(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))),one),
inference(resolve,[$cnf( leq(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X0_1),addition(multiplication(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),one) )],[refute_1_80,refute_1_65]) ).
cnf(refute_1_82,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_1_83,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_1_41,refute_1_82]) ).
cnf(refute_1_84,plain,
addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),one) = addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),
inference(subst,[],[refute_1_83:[bind(A,$fot(one)),bind(B,$fot(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)))]]) ).
cnf(refute_1_85,plain,
test(skolemFOFtoCNF_X0_1),
inference(canonicalize,[],[normalize_1_11]) ).
cnf(refute_1_86,plain,
( c(X0) != X1
| ~ test(X0)
| complement(X0,X1) ),
inference(canonicalize,[],[normalize_1_15]) ).
cnf(refute_1_87,plain,
( c(X0) != c(X0)
| ~ test(X0)
| complement(X0,c(X0)) ),
inference(subst,[],[refute_1_86:[bind(X1,$fot(c(X0)))]]) ).
cnf(refute_1_88,plain,
c(X0) = c(X0),
introduced(tautology,[refl,[$fot(c(X0))]]) ).
cnf(refute_1_89,plain,
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(resolve,[$cnf( $equal(c(X0),c(X0)) )],[refute_1_88,refute_1_87]) ).
cnf(refute_1_90,plain,
( ~ test(skolemFOFtoCNF_X0_1)
| complement(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_89:[bind(X0,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_91,plain,
complement(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( test(skolemFOFtoCNF_X0_1) )],[refute_1_85,refute_1_90]) ).
cnf(refute_1_92,plain,
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(canonicalize,[],[normalize_1_19]) ).
cnf(refute_1_93,plain,
( ~ complement(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))
| addition(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) = one ),
inference(subst,[],[refute_1_92:[bind(X0,$fot(c(skolemFOFtoCNF_X0_1))),bind(X1,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_94,plain,
addition(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) = one,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)) )],[refute_1_91,refute_1_93]) ).
cnf(refute_1_95,plain,
addition(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) = addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_83:[bind(A,$fot(skolemFOFtoCNF_X0_1)),bind(B,$fot(c(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_96,plain,
( addition(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) != addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))
| addition(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) != one
| addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),one) ),[0],$fot(addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_97,plain,
( addition(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) != one
| addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)) = one ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))) )],[refute_1_95,refute_1_96]) ).
cnf(refute_1_98,plain,
addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)) = one,
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),one) )],[refute_1_94,refute_1_97]) ).
cnf(refute_1_99,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_1_21]) ).
cnf(refute_1_100,plain,
multiplication(c(skolemFOFtoCNF_X0_1),one) = c(skolemFOFtoCNF_X0_1),
inference(subst,[],[refute_1_99:[bind(A,$fot(c(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_101,plain,
test(skolemFOFtoCNF_X1_2),
inference(canonicalize,[],[normalize_1_22]) ).
cnf(refute_1_102,plain,
( ~ test(skolemFOFtoCNF_X1_2)
| complement(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)) ),
inference(subst,[],[refute_1_89:[bind(X0,$fot(skolemFOFtoCNF_X1_2))]]) ).
cnf(refute_1_103,plain,
complement(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),
inference(resolve,[$cnf( test(skolemFOFtoCNF_X1_2) )],[refute_1_101,refute_1_102]) ).
cnf(refute_1_104,plain,
( ~ complement(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))
| addition(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X1_2) = one ),
inference(subst,[],[refute_1_92:[bind(X0,$fot(c(skolemFOFtoCNF_X1_2))),bind(X1,$fot(skolemFOFtoCNF_X1_2))]]) ).
cnf(refute_1_105,plain,
addition(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X1_2) = one,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)) )],[refute_1_103,refute_1_104]) ).
cnf(refute_1_106,plain,
addition(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X1_2) = addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),
inference(subst,[],[refute_1_83:[bind(A,$fot(skolemFOFtoCNF_X1_2)),bind(B,$fot(c(skolemFOFtoCNF_X1_2)))]]) ).
cnf(refute_1_107,plain,
( addition(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X1_2) != addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))
| addition(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X1_2) != one
| addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X1_2),one) ),[0],$fot(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))]]) ).
cnf(refute_1_108,plain,
( addition(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X1_2) != one
| addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)) = one ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X1_2),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))) )],[refute_1_106,refute_1_107]) ).
cnf(refute_1_109,plain,
addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)) = one,
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X1_2),one) )],[refute_1_105,refute_1_108]) ).
cnf(refute_1_110,plain,
multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))) = multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))),
introduced(tautology,[refl,[$fot(multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))]]) ).
cnf(refute_1_111,plain,
( addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)) != one
| multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))) != multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))
| multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))) = multiplication(c(skolemFOFtoCNF_X0_1),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) ),[1,1],$fot(one)]]) ).
cnf(refute_1_112,plain,
( addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)) != one
| multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))) = multiplication(c(skolemFOFtoCNF_X0_1),one) ),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) )],[refute_1_110,refute_1_111]) ).
cnf(refute_1_113,plain,
multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))) = multiplication(c(skolemFOFtoCNF_X0_1),one),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),one) )],[refute_1_109,refute_1_112]) ).
cnf(refute_1_114,plain,
( multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))) != multiplication(c(skolemFOFtoCNF_X0_1),one)
| multiplication(c(skolemFOFtoCNF_X0_1),one) != c(skolemFOFtoCNF_X0_1)
| multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))) = c(skolemFOFtoCNF_X0_1) ),
inference(subst,[],[refute_1_26:[bind(X,$fot(multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))),bind(Y,$fot(multiplication(c(skolemFOFtoCNF_X0_1),one))),bind(Z,$fot(c(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_115,plain,
( multiplication(c(skolemFOFtoCNF_X0_1),one) != c(skolemFOFtoCNF_X0_1)
| multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))) = c(skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))),multiplication(c(skolemFOFtoCNF_X0_1),one)) )],[refute_1_113,refute_1_114]) ).
cnf(refute_1_116,plain,
multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))) = c(skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0_1),one),c(skolemFOFtoCNF_X0_1)) )],[refute_1_100,refute_1_115]) ).
cnf(refute_1_117,plain,
addition(skolemFOFtoCNF_X0_1,multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) = addition(skolemFOFtoCNF_X0_1,multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))),
introduced(tautology,[refl,[$fot(addition(skolemFOFtoCNF_X0_1,multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))]]) ).
cnf(refute_1_118,plain,
( addition(skolemFOFtoCNF_X0_1,multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) != addition(skolemFOFtoCNF_X0_1,multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))
| multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))) != c(skolemFOFtoCNF_X0_1)
| addition(skolemFOFtoCNF_X0_1,multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) = addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X0_1,multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))),addition(skolemFOFtoCNF_X0_1,multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) ),[1,1],$fot(c(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_119,plain,
( multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))) != c(skolemFOFtoCNF_X0_1)
| addition(skolemFOFtoCNF_X0_1,multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) = addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0_1,multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))),addition(skolemFOFtoCNF_X0_1,multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) )],[refute_1_117,refute_1_118]) ).
cnf(refute_1_120,plain,
addition(skolemFOFtoCNF_X0_1,multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) = addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))),c(skolemFOFtoCNF_X0_1)) )],[refute_1_116,refute_1_119]) ).
cnf(refute_1_121,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_1_24]) ).
cnf(refute_1_122,plain,
multiplication(one,skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1,
inference(subst,[],[refute_1_121:[bind(A,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_123,plain,
multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1) = multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),
introduced(tautology,[refl,[$fot(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_124,plain,
( addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)) != one
| multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1) != multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1)
| multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1) = multiplication(one,skolemFOFtoCNF_X0_1) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1)) ),[1,0],$fot(one)]]) ).
cnf(refute_1_125,plain,
( addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)) != one
| multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1) = multiplication(one,skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1)) )],[refute_1_123,refute_1_124]) ).
cnf(refute_1_126,plain,
multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1) = multiplication(one,skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),one) )],[refute_1_109,refute_1_125]) ).
cnf(refute_1_127,plain,
( multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1) != multiplication(one,skolemFOFtoCNF_X0_1)
| multiplication(one,skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1 ),
inference(subst,[],[refute_1_26:[bind(X,$fot(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1))),bind(Y,$fot(multiplication(one,skolemFOFtoCNF_X0_1))),bind(Z,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_128,plain,
( multiplication(one,skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(one,skolemFOFtoCNF_X0_1)) )],[refute_1_126,refute_1_127]) ).
cnf(refute_1_129,plain,
multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(multiplication(one,skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) )],[refute_1_122,refute_1_128]) ).
cnf(refute_1_130,plain,
addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) = addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))),
introduced(tautology,[refl,[$fot(addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))]]) ).
cnf(refute_1_131,plain,
( addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) != addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))
| multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) = addition(skolemFOFtoCNF_X0_1,multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) ),[1,0],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_132,plain,
( multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) = addition(skolemFOFtoCNF_X0_1,multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) )],[refute_1_130,refute_1_131]) ).
cnf(refute_1_133,plain,
addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) = addition(skolemFOFtoCNF_X0_1,multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))),
inference(resolve,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) )],[refute_1_129,refute_1_132]) ).
cnf(refute_1_134,plain,
( addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) != addition(skolemFOFtoCNF_X0_1,multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))
| addition(skolemFOFtoCNF_X0_1,multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) != addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))
| addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) = addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_26:[bind(X,$fot(addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),bind(Y,$fot(addition(skolemFOFtoCNF_X0_1,multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),bind(Z,$fot(addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_135,plain,
( addition(skolemFOFtoCNF_X0_1,multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) != addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))
| addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) = addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))),addition(skolemFOFtoCNF_X0_1,multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) )],[refute_1_133,refute_1_134]) ).
cnf(refute_1_136,plain,
addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) = addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0_1,multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))),addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))) )],[refute_1_120,refute_1_135]) ).
cnf(refute_1_137,plain,
( addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) != addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))
| addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)) != one
| addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) = one ),
inference(subst,[],[refute_1_26:[bind(X,$fot(addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))),bind(Y,$fot(addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)))),bind(Z,$fot(one))]]) ).
cnf(refute_1_138,plain,
( addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)) != one
| addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) = one ),
inference(resolve,[$cnf( $equal(addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))),addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))) )],[refute_1_136,refute_1_137]) ).
cnf(refute_1_139,plain,
addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) = one,
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)),one) )],[refute_1_98,refute_1_138]) ).
cnf(refute_1_140,plain,
addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) = addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))),
introduced(tautology,[refl,[$fot(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))]]) ).
cnf(refute_1_141,plain,
( addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) != one
| addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) != addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))
| addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) = addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) ),[1,1],$fot(one)]]) ).
cnf(refute_1_142,plain,
( addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))) != one
| addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) = addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),one) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))))) )],[refute_1_140,refute_1_141]) ).
cnf(refute_1_143,plain,
addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) = addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),one),
inference(resolve,[$cnf( $equal(addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)))),one) )],[refute_1_139,refute_1_142]) ).
cnf(refute_1_144,plain,
( addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) != addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),one)
| addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),one) != addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))
| addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) = addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)) ),
inference(subst,[],[refute_1_26:[bind(X,$fot(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))))),bind(Y,$fot(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),one))),bind(Z,$fot(addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))))]]) ).
cnf(refute_1_145,plain,
( addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),one) != addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))
| addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) = addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))),addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),one)) )],[refute_1_143,refute_1_144]) ).
cnf(refute_1_146,plain,
addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) = addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),one),addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))) )],[refute_1_84,refute_1_145]) ).
cnf(refute_1_147,plain,
( addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))) != addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))
| ~ leq(addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),one)
| leq(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))),one) ),
introduced(tautology,[equality,[$cnf( ~ leq(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))),one) ),[0],$fot(addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)))]]) ).
cnf(refute_1_148,plain,
( ~ leq(addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),one)
| leq(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))),one) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))),addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))) )],[refute_1_146,refute_1_147]) ).
cnf(refute_1_149,plain,
~ leq(addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),one),
inference(resolve,[$cnf( leq(addition(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2),addition(multiplication(addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1),multiplication(c(skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X1_2,c(skolemFOFtoCNF_X1_2))))),one) )],[refute_1_148,refute_1_81]) ).
cnf(refute_1_150,plain,
addition(one,addition(skolemFOFtoCNF_X0_1,C)) = addition(addition(one,skolemFOFtoCNF_X0_1),C),
inference(subst,[],[refute_1_20:[bind(A,$fot(one)),bind(B,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_151,plain,
addition(X_92,addition(X_92,X_93)) = addition(addition(X_92,X_92),X_93),
inference(subst,[],[refute_1_20:[bind(A,$fot(X_92)),bind(B,$fot(X_92)),bind(C,$fot(X_93))]]) ).
cnf(refute_1_152,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_1_26]) ).
cnf(refute_1_153,plain,
addition(X_92,X_92) = X_92,
inference(subst,[],[refute_1_152:[bind(A,$fot(X_92))]]) ).
cnf(refute_1_154,plain,
( addition(X_92,X_92) != X_92
| addition(X_92,addition(X_92,X_93)) != addition(addition(X_92,X_92),X_93)
| addition(X_92,addition(X_92,X_93)) = addition(X_92,X_93) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_92,addition(X_92,X_93)),addition(addition(X_92,X_92),X_93)) ),[1,0],$fot(X_92)]]) ).
cnf(refute_1_155,plain,
( addition(X_92,addition(X_92,X_93)) != addition(addition(X_92,X_92),X_93)
| addition(X_92,addition(X_92,X_93)) = addition(X_92,X_93) ),
inference(resolve,[$cnf( $equal(addition(X_92,X_92),X_92) )],[refute_1_153,refute_1_154]) ).
cnf(refute_1_156,plain,
addition(X_92,addition(X_92,X_93)) = addition(X_92,X_93),
inference(resolve,[$cnf( $equal(addition(X_92,addition(X_92,X_93)),addition(addition(X_92,X_92),X_93)) )],[refute_1_151,refute_1_155]) ).
cnf(refute_1_157,plain,
addition(skolemFOFtoCNF_X0_1,addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))) = addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_156:[bind(X_92,$fot(skolemFOFtoCNF_X0_1)),bind(X_93,$fot(c(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_158,plain,
( addition(skolemFOFtoCNF_X0_1,addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))) != addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))
| addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)) != one
| addition(skolemFOFtoCNF_X0_1,one) = addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X0_1,addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))),addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))) ),[0,1],$fot(one)]]) ).
cnf(refute_1_159,plain,
( addition(skolemFOFtoCNF_X0_1,addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))) != addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))
| addition(skolemFOFtoCNF_X0_1,one) = addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)),one) )],[refute_1_98,refute_1_158]) ).
cnf(refute_1_160,plain,
addition(skolemFOFtoCNF_X0_1,one) = addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0_1,addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))),addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))) )],[refute_1_157,refute_1_159]) ).
cnf(refute_1_161,plain,
addition(skolemFOFtoCNF_X0_1,one) = addition(one,skolemFOFtoCNF_X0_1),
inference(subst,[],[refute_1_83:[bind(A,$fot(one)),bind(B,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_162,plain,
( addition(skolemFOFtoCNF_X0_1,one) != addition(one,skolemFOFtoCNF_X0_1)
| addition(skolemFOFtoCNF_X0_1,one) != addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))
| addition(one,skolemFOFtoCNF_X0_1) = addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X0_1,one),addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))) ),[0],$fot(addition(one,skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_163,plain,
( addition(skolemFOFtoCNF_X0_1,one) != addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))
| addition(one,skolemFOFtoCNF_X0_1) = addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0_1,one),addition(one,skolemFOFtoCNF_X0_1)) )],[refute_1_161,refute_1_162]) ).
cnf(refute_1_164,plain,
( addition(one,skolemFOFtoCNF_X0_1) != addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))
| addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)) != one
| addition(one,skolemFOFtoCNF_X0_1) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(one,skolemFOFtoCNF_X0_1),one) ),[0],$fot(addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_165,plain,
( addition(one,skolemFOFtoCNF_X0_1) != addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))
| addition(one,skolemFOFtoCNF_X0_1) = one ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1)),one) )],[refute_1_98,refute_1_164]) ).
cnf(refute_1_166,plain,
( addition(skolemFOFtoCNF_X0_1,one) != addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))
| addition(one,skolemFOFtoCNF_X0_1) = one ),
inference(resolve,[$cnf( $equal(addition(one,skolemFOFtoCNF_X0_1),addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))) )],[refute_1_163,refute_1_165]) ).
cnf(refute_1_167,plain,
addition(one,skolemFOFtoCNF_X0_1) = one,
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0_1,one),addition(skolemFOFtoCNF_X0_1,c(skolemFOFtoCNF_X0_1))) )],[refute_1_160,refute_1_166]) ).
cnf(refute_1_168,plain,
( addition(one,addition(skolemFOFtoCNF_X0_1,C)) != addition(addition(one,skolemFOFtoCNF_X0_1),C)
| addition(one,skolemFOFtoCNF_X0_1) != one
| addition(one,addition(skolemFOFtoCNF_X0_1,C)) = addition(one,C) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(skolemFOFtoCNF_X0_1,C)),addition(addition(one,skolemFOFtoCNF_X0_1),C)) ),[1,0],$fot(one)]]) ).
cnf(refute_1_169,plain,
( addition(one,addition(skolemFOFtoCNF_X0_1,C)) != addition(addition(one,skolemFOFtoCNF_X0_1),C)
| addition(one,addition(skolemFOFtoCNF_X0_1,C)) = addition(one,C) ),
inference(resolve,[$cnf( $equal(addition(one,skolemFOFtoCNF_X0_1),one) )],[refute_1_167,refute_1_168]) ).
cnf(refute_1_170,plain,
addition(one,addition(skolemFOFtoCNF_X0_1,C)) = addition(one,C),
inference(resolve,[$cnf( $equal(addition(one,addition(skolemFOFtoCNF_X0_1,C)),addition(addition(one,skolemFOFtoCNF_X0_1),C)) )],[refute_1_150,refute_1_169]) ).
cnf(refute_1_171,plain,
addition(one,addition(skolemFOFtoCNF_X0_1,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))) = addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),
inference(subst,[],[refute_1_170:[bind(C,$fot(multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)))]]) ).
cnf(refute_1_172,plain,
multiplication(X_98,addition(one,X_100)) = addition(multiplication(X_98,one),multiplication(X_98,X_100)),
inference(subst,[],[refute_1_1:[bind(A,$fot(X_98)),bind(B,$fot(one)),bind(C,$fot(X_100))]]) ).
cnf(refute_1_173,plain,
multiplication(X_98,one) = X_98,
inference(subst,[],[refute_1_99:[bind(A,$fot(X_98))]]) ).
cnf(refute_1_174,plain,
( multiplication(X_98,addition(one,X_100)) != addition(multiplication(X_98,one),multiplication(X_98,X_100))
| multiplication(X_98,one) != X_98
| multiplication(X_98,addition(one,X_100)) = addition(X_98,multiplication(X_98,X_100)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_98,addition(one,X_100)),addition(multiplication(X_98,one),multiplication(X_98,X_100))) ),[1,0],$fot(X_98)]]) ).
cnf(refute_1_175,plain,
( multiplication(X_98,addition(one,X_100)) != addition(multiplication(X_98,one),multiplication(X_98,X_100))
| multiplication(X_98,addition(one,X_100)) = addition(X_98,multiplication(X_98,X_100)) ),
inference(resolve,[$cnf( $equal(multiplication(X_98,one),X_98) )],[refute_1_173,refute_1_174]) ).
cnf(refute_1_176,plain,
multiplication(X_98,addition(one,X_100)) = addition(X_98,multiplication(X_98,X_100)),
inference(resolve,[$cnf( $equal(multiplication(X_98,addition(one,X_100)),addition(multiplication(X_98,one),multiplication(X_98,X_100))) )],[refute_1_172,refute_1_175]) ).
cnf(refute_1_177,plain,
multiplication(X_98,addition(one,skolemFOFtoCNF_X1_2)) = addition(X_98,multiplication(X_98,skolemFOFtoCNF_X1_2)),
inference(subst,[],[refute_1_176:[bind(X_100,$fot(skolemFOFtoCNF_X1_2))]]) ).
cnf(refute_1_178,plain,
addition(skolemFOFtoCNF_X1_2,addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2))) = addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2)),
inference(subst,[],[refute_1_156:[bind(X_92,$fot(skolemFOFtoCNF_X1_2)),bind(X_93,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2)))]]) ).
cnf(refute_1_179,plain,
( ~ test(X0)
| complement(skolemFOFtoCNF_X1(X0),X0) ),
inference(canonicalize,[],[normalize_1_30]) ).
cnf(refute_1_180,plain,
( ~ test(skolemFOFtoCNF_X1_2)
| complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X1_2) ),
inference(subst,[],[refute_1_179:[bind(X0,$fot(skolemFOFtoCNF_X1_2))]]) ).
cnf(refute_1_181,plain,
complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X1_2),
inference(resolve,[$cnf( test(skolemFOFtoCNF_X1_2) )],[refute_1_101,refute_1_180]) ).
cnf(refute_1_182,plain,
( ~ complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X1_2)
| addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2)) = one ),
inference(subst,[],[refute_1_92:[bind(X0,$fot(skolemFOFtoCNF_X1_2)),bind(X1,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2)))]]) ).
cnf(refute_1_183,plain,
addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2)) = one,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2),skolemFOFtoCNF_X1_2) )],[refute_1_181,refute_1_182]) ).
cnf(refute_1_184,plain,
( addition(skolemFOFtoCNF_X1_2,addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2))) != addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2))
| addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2)) != one
| addition(skolemFOFtoCNF_X1_2,one) = addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X1_2,addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2))),addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2))) ),[0,1],$fot(one)]]) ).
cnf(refute_1_185,plain,
( addition(skolemFOFtoCNF_X1_2,addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2))) != addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2))
| addition(skolemFOFtoCNF_X1_2,one) = addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2)),one) )],[refute_1_183,refute_1_184]) ).
cnf(refute_1_186,plain,
addition(skolemFOFtoCNF_X1_2,one) = addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2)),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_2,addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2))),addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2))) )],[refute_1_178,refute_1_185]) ).
cnf(refute_1_187,plain,
addition(skolemFOFtoCNF_X1_2,one) = addition(one,skolemFOFtoCNF_X1_2),
inference(subst,[],[refute_1_83:[bind(A,$fot(one)),bind(B,$fot(skolemFOFtoCNF_X1_2))]]) ).
cnf(refute_1_188,plain,
( addition(skolemFOFtoCNF_X1_2,one) != addition(one,skolemFOFtoCNF_X1_2)
| addition(skolemFOFtoCNF_X1_2,one) != addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2))
| addition(one,skolemFOFtoCNF_X1_2) = addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X1_2,one),addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2))) ),[0],$fot(addition(one,skolemFOFtoCNF_X1_2))]]) ).
cnf(refute_1_189,plain,
( addition(skolemFOFtoCNF_X1_2,one) != addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2))
| addition(one,skolemFOFtoCNF_X1_2) = addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_2,one),addition(one,skolemFOFtoCNF_X1_2)) )],[refute_1_187,refute_1_188]) ).
cnf(refute_1_190,plain,
( addition(one,skolemFOFtoCNF_X1_2) != addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2))
| addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2)) != one
| addition(one,skolemFOFtoCNF_X1_2) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(one,skolemFOFtoCNF_X1_2),one) ),[0],$fot(addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2)))]]) ).
cnf(refute_1_191,plain,
( addition(one,skolemFOFtoCNF_X1_2) != addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2))
| addition(one,skolemFOFtoCNF_X1_2) = one ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2)),one) )],[refute_1_183,refute_1_190]) ).
cnf(refute_1_192,plain,
( addition(skolemFOFtoCNF_X1_2,one) != addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2))
| addition(one,skolemFOFtoCNF_X1_2) = one ),
inference(resolve,[$cnf( $equal(addition(one,skolemFOFtoCNF_X1_2),addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2))) )],[refute_1_189,refute_1_191]) ).
cnf(refute_1_193,plain,
addition(one,skolemFOFtoCNF_X1_2) = one,
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_2,one),addition(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_2))) )],[refute_1_186,refute_1_192]) ).
cnf(refute_1_194,plain,
( addition(one,skolemFOFtoCNF_X1_2) != one
| multiplication(X_98,addition(one,skolemFOFtoCNF_X1_2)) != addition(X_98,multiplication(X_98,skolemFOFtoCNF_X1_2))
| multiplication(X_98,one) = addition(X_98,multiplication(X_98,skolemFOFtoCNF_X1_2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_98,addition(one,skolemFOFtoCNF_X1_2)),addition(X_98,multiplication(X_98,skolemFOFtoCNF_X1_2))) ),[0,1],$fot(one)]]) ).
cnf(refute_1_195,plain,
( multiplication(X_98,addition(one,skolemFOFtoCNF_X1_2)) != addition(X_98,multiplication(X_98,skolemFOFtoCNF_X1_2))
| multiplication(X_98,one) = addition(X_98,multiplication(X_98,skolemFOFtoCNF_X1_2)) ),
inference(resolve,[$cnf( $equal(addition(one,skolemFOFtoCNF_X1_2),one) )],[refute_1_193,refute_1_194]) ).
cnf(refute_1_196,plain,
multiplication(X_98,one) = addition(X_98,multiplication(X_98,skolemFOFtoCNF_X1_2)),
inference(resolve,[$cnf( $equal(multiplication(X_98,addition(one,skolemFOFtoCNF_X1_2)),addition(X_98,multiplication(X_98,skolemFOFtoCNF_X1_2))) )],[refute_1_177,refute_1_195]) ).
cnf(refute_1_197,plain,
( multiplication(X_98,one) != X_98
| multiplication(X_98,one) != addition(X_98,multiplication(X_98,skolemFOFtoCNF_X1_2))
| X_98 = addition(X_98,multiplication(X_98,skolemFOFtoCNF_X1_2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_98,one),addition(X_98,multiplication(X_98,skolemFOFtoCNF_X1_2))) ),[0],$fot(X_98)]]) ).
cnf(refute_1_198,plain,
( multiplication(X_98,one) != addition(X_98,multiplication(X_98,skolemFOFtoCNF_X1_2))
| X_98 = addition(X_98,multiplication(X_98,skolemFOFtoCNF_X1_2)) ),
inference(resolve,[$cnf( $equal(multiplication(X_98,one),X_98) )],[refute_1_173,refute_1_197]) ).
cnf(refute_1_199,plain,
X_98 = addition(X_98,multiplication(X_98,skolemFOFtoCNF_X1_2)),
inference(resolve,[$cnf( $equal(multiplication(X_98,one),addition(X_98,multiplication(X_98,skolemFOFtoCNF_X1_2))) )],[refute_1_196,refute_1_198]) ).
cnf(refute_1_200,plain,
skolemFOFtoCNF_X0_1 = addition(skolemFOFtoCNF_X0_1,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),
inference(subst,[],[refute_1_199:[bind(X_98,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_201,plain,
( skolemFOFtoCNF_X0_1 != addition(skolemFOFtoCNF_X0_1,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))
| addition(skolemFOFtoCNF_X0_1,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)) = skolemFOFtoCNF_X0_1 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(skolemFOFtoCNF_X0_1)),bind(Y,$fot(addition(skolemFOFtoCNF_X0_1,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))))]]) ).
cnf(refute_1_202,plain,
addition(skolemFOFtoCNF_X0_1,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0_1,addition(skolemFOFtoCNF_X0_1,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))) )],[refute_1_200,refute_1_201]) ).
cnf(refute_1_203,plain,
( addition(one,addition(skolemFOFtoCNF_X0_1,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))) != addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))
| addition(skolemFOFtoCNF_X0_1,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)) != skolemFOFtoCNF_X0_1
| addition(one,skolemFOFtoCNF_X0_1) = addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(skolemFOFtoCNF_X0_1,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))),addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))) ),[0,1],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_204,plain,
( addition(one,addition(skolemFOFtoCNF_X0_1,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))) != addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))
| addition(one,skolemFOFtoCNF_X0_1) = addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0_1,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),skolemFOFtoCNF_X0_1) )],[refute_1_202,refute_1_203]) ).
cnf(refute_1_205,plain,
addition(one,skolemFOFtoCNF_X0_1) = addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),
inference(resolve,[$cnf( $equal(addition(one,addition(skolemFOFtoCNF_X0_1,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))),addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))) )],[refute_1_171,refute_1_204]) ).
cnf(refute_1_206,plain,
( addition(one,skolemFOFtoCNF_X0_1) != addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))
| addition(one,skolemFOFtoCNF_X0_1) != one
| one = addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,skolemFOFtoCNF_X0_1),addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))) ),[0],$fot(one)]]) ).
cnf(refute_1_207,plain,
( addition(one,skolemFOFtoCNF_X0_1) != addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))
| one = addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)) ),
inference(resolve,[$cnf( $equal(addition(one,skolemFOFtoCNF_X0_1),one) )],[refute_1_167,refute_1_206]) ).
cnf(refute_1_208,plain,
one = addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),
inference(resolve,[$cnf( $equal(addition(one,skolemFOFtoCNF_X0_1),addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))) )],[refute_1_205,refute_1_207]) ).
cnf(refute_1_209,plain,
( one != addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))
| addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)) = one ),
inference(subst,[],[refute_1_4:[bind(X,$fot(one)),bind(Y,$fot(addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))))]]) ).
cnf(refute_1_210,plain,
addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2))) )],[refute_1_208,refute_1_209]) ).
cnf(refute_1_211,plain,
( addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)) != one
| ~ leq(one,one)
| leq(addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),one) ),
introduced(tautology,[equality,[$cnf( ~ leq(addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),one) ),[0],$fot(one)]]) ).
cnf(refute_1_212,plain,
( ~ leq(one,one)
| leq(addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),one) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),one) )],[refute_1_210,refute_1_211]) ).
cnf(refute_1_213,plain,
~ leq(one,one),
inference(resolve,[$cnf( leq(addition(one,multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_2)),one) )],[refute_1_212,refute_1_149]) ).
cnf(refute_1_214,plain,
( addition(A,B) != B
| leq(A,B) ),
inference(canonicalize,[],[normalize_1_34]) ).
cnf(refute_1_215,plain,
( addition(X_122,X_122) != X_122
| leq(X_122,X_122) ),
inference(subst,[],[refute_1_214:[bind(A,$fot(X_122)),bind(B,$fot(X_122))]]) ).
cnf(refute_1_216,plain,
addition(X_122,X_122) = X_122,
inference(subst,[],[refute_1_152:[bind(A,$fot(X_122))]]) ).
cnf(refute_1_217,plain,
( X_122 != X_122
| addition(X_122,X_122) != X_122
| addition(X_122,X_122) = X_122 ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_122,X_122),X_122) ),[0,0],$fot(X_122)]]) ).
cnf(refute_1_218,plain,
( X_122 != X_122
| addition(X_122,X_122) = X_122 ),
inference(resolve,[$cnf( $equal(addition(X_122,X_122),X_122) )],[refute_1_216,refute_1_217]) ).
cnf(refute_1_219,plain,
( X_122 != X_122
| leq(X_122,X_122) ),
inference(resolve,[$cnf( $equal(addition(X_122,X_122),X_122) )],[refute_1_218,refute_1_215]) ).
cnf(refute_1_220,plain,
X_122 = X_122,
introduced(tautology,[refl,[$fot(X_122)]]) ).
cnf(refute_1_221,plain,
leq(X_122,X_122),
inference(resolve,[$cnf( $equal(X_122,X_122) )],[refute_1_220,refute_1_219]) ).
cnf(refute_1_222,plain,
leq(one,one),
inference(subst,[],[refute_1_221:[bind(X_122,$fot(one))]]) ).
cnf(refute_1_223,plain,
$false,
inference(resolve,[$cnf( leq(one,one) )],[refute_1_222,refute_1_213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE010+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 15:12:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.32/1.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.32/1.47
% 1.32/1.47 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.35/1.53
%------------------------------------------------------------------------------