TSTP Solution File: KLE027+3 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE027+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n005.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 02:14:46 EDT 2022
% Result : Theorem 4.91s 5.13s
% Output : CNFRefutation 4.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 56
% Syntax : Number of formulae : 220 ( 112 unt; 0 def)
% Number of atoms : 395 ( 329 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 343 ( 168 ~; 148 |; 14 &)
% ( 9 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 229 ( 7 sgn 90 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [A,B] : addition(A,B) = addition(B,A) ).
fof(additive_identity,axiom,
! [A] : addition(A,zero) = A ).
fof(multiplicative_associativity,axiom,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) ).
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(left_annihilation,axiom,
! [A] : multiplication(zero,A) = zero ).
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,X2,X3,X4] :
( ( test(X3)
& test(X4) )
=> addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)) = addition(multiplication(X3,X0),multiplication(c(X3),X2)) ) ).
fof(subgoal_0,plain,
! [X0,X1,X2,X3,X4] :
( ( test(X3)
& test(X4) )
=> addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)) = addition(multiplication(X3,X0),multiplication(c(X3),X2)) ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( test(X3)
& test(X4) )
=> addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)) = addition(multiplication(X3,X0),multiplication(c(X3),X2)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0,X1,X2,X3] :
( addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)) != addition(multiplication(X3,X0),multiplication(c(X3),X2))
& test(X3)
& ? [X4] : test(X4) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( addition(multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1))),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)) != addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2))
& test(skolemFOFtoCNF_X3)
& ? [X4] : test(X4) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
addition(multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1))),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)) != addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_4,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_0_6,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[multiplicative_associativity]) ).
fof(normalize_0_8,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
test(skolemFOFtoCNF_X3),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_10,plain,
! [X0] :
( ~ test(X0)
<=> ! [X1] : ~ complement(X1,X0) ),
inference(canonicalize,[],[test_1]) ).
fof(normalize_0_11,plain,
! [X0] :
( ~ test(X0)
<=> ! [X1] : ~ complement(X1,X0) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0,X1] :
( ( ~ complement(X1,X0)
| test(X0) )
& ( ~ test(X0)
| complement(skolemFOFtoCNF_X1(X0),X0) ) ),
inference(clausify,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X0] :
( ~ test(X0)
| complement(skolemFOFtoCNF_X1(X0),X0) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,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_15,plain,
! [X0,X1] :
( ~ complement(X1,X0)
<=> ( addition(X0,X1) != one
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero ) ),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,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_15]) ).
fof(normalize_0_17,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| multiplication(X0,X1) = zero ),
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [A] : multiplication(zero,A) = zero,
inference(canonicalize,[],[left_annihilation]) ).
fof(normalize_0_19,plain,
! [A] : multiplication(zero,A) = zero,
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [A] : addition(A,zero) = A,
inference(canonicalize,[],[additive_identity]) ).
fof(normalize_0_21,plain,
! [A] : addition(A,zero) = A,
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X0] :
( ~ test(X0)
| ! [X1] :
( c(X0) != X1
<=> ~ complement(X0,X1) ) ),
inference(canonicalize,[],[test_3]) ).
fof(normalize_0_23,plain,
! [X0] :
( ~ test(X0)
| ! [X1] :
( c(X0) != X1
<=> ~ complement(X0,X1) ) ),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [X0,X1] :
( ( c(X0) != X1
| ~ test(X0)
| complement(X0,X1) )
& ( ~ complement(X0,X1)
| ~ test(X0)
| c(X0) = X1 ) ),
inference(clausify,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [X0,X1] :
( c(X0) != X1
| ~ test(X0)
| complement(X0,X1) ),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_27,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_28,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_30,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_32,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_31]) ).
cnf(refute_0_0,plain,
addition(multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1))),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)) != addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
addition(A,B) = addition(B,A),
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( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_6,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
addition(multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1))),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)) = addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1)))),
inference(subst,[],[refute_0_6:[bind(A,$fot(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2))),bind(B,$fot(multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1)))))]]) ).
cnf(refute_0_8,plain,
( addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1)))) != addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2))
| addition(multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1))),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)) != addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1))))
| addition(multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1))),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)) = addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1))),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)),addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1))))) ),[1],$fot(addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_9,plain,
( addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1)))) != addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2))
| addition(multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1))),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)) = addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1))),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)),addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1))))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1)))) != addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1))),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)),addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2))) )],[refute_0_9,refute_0_0]) ).
cnf(refute_0_11,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_12,plain,
multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))) = addition(multiplication(skolemFOFtoCNF_X3,B),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))),
inference(subst,[],[refute_0_11:[bind(A,$fot(skolemFOFtoCNF_X3)),bind(C,$fot(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)))]]) ).
cnf(refute_0_13,plain,
multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_14,plain,
multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),C)) = multiplication(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),C),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_X3)),bind(B,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_15,plain,
test(skolemFOFtoCNF_X3),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_16,plain,
( ~ test(X0)
| complement(skolemFOFtoCNF_X1(X0),X0) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_17,plain,
( ~ test(skolemFOFtoCNF_X3)
| complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(skolemFOFtoCNF_X3))]]) ).
cnf(refute_0_18,plain,
complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3),
inference(resolve,[$cnf( test(skolemFOFtoCNF_X3) )],[refute_0_15,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ complement(X1,X0)
| multiplication(X0,X1) = zero ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_20,plain,
( ~ complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3)
| multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) = zero ),
inference(subst,[],[refute_0_19:[bind(X0,$fot(skolemFOFtoCNF_X3)),bind(X1,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_21,plain,
multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) = zero,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3) )],[refute_0_18,refute_0_20]) ).
cnf(refute_0_22,plain,
( multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),C)) != multiplication(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),C)
| multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) != zero
| multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),C)) = multiplication(zero,C) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),C)),multiplication(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),C)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_23,plain,
( multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),C)) != multiplication(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),C)
| multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),C)) = multiplication(zero,C) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),zero) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),C)) = multiplication(zero,C),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),C)),multiplication(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),C)) )],[refute_0_14,refute_0_23]) ).
cnf(refute_0_25,plain,
multiplication(zero,A) = zero,
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_26,plain,
multiplication(zero,C) = zero,
inference(subst,[],[refute_0_25:[bind(A,$fot(C))]]) ).
cnf(refute_0_27,plain,
( multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),C)) != multiplication(zero,C)
| multiplication(zero,C) != zero
| multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),C)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),C)),zero) ),[0],$fot(multiplication(zero,C))]]) ).
cnf(refute_0_28,plain,
( multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),C)) != multiplication(zero,C)
| multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),C)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(zero,C),zero) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),C)) = zero,
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),C)),multiplication(zero,C)) )],[refute_0_24,refute_0_28]) ).
cnf(refute_0_30,plain,
multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)) = zero,
inference(subst,[],[refute_0_29:[bind(C,$fot(X_347))]]) ).
cnf(refute_0_31,plain,
( multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))) != addition(multiplication(skolemFOFtoCNF_X3,B),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)))
| multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)) != zero
| multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))) = addition(multiplication(skolemFOFtoCNF_X3,B),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))),addition(multiplication(skolemFOFtoCNF_X3,B),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_32,plain,
( multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))) != addition(multiplication(skolemFOFtoCNF_X3,B),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)))
| multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))) = addition(multiplication(skolemFOFtoCNF_X3,B),zero) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)),zero) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))) = addition(multiplication(skolemFOFtoCNF_X3,B),zero),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))),addition(multiplication(skolemFOFtoCNF_X3,B),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)))) )],[refute_0_12,refute_0_32]) ).
cnf(refute_0_34,plain,
addition(A,zero) = A,
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_35,plain,
addition(multiplication(skolemFOFtoCNF_X3,B),zero) = multiplication(skolemFOFtoCNF_X3,B),
inference(subst,[],[refute_0_34:[bind(A,$fot(multiplication(skolemFOFtoCNF_X3,B)))]]) ).
cnf(refute_0_36,plain,
( addition(multiplication(skolemFOFtoCNF_X3,B),zero) != multiplication(skolemFOFtoCNF_X3,B)
| multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))) != addition(multiplication(skolemFOFtoCNF_X3,B),zero)
| multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))) = multiplication(skolemFOFtoCNF_X3,B) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))),addition(multiplication(skolemFOFtoCNF_X3,B),zero)) ),[1],$fot(multiplication(skolemFOFtoCNF_X3,B))]]) ).
cnf(refute_0_37,plain,
( multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))) != addition(multiplication(skolemFOFtoCNF_X3,B),zero)
| multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))) = multiplication(skolemFOFtoCNF_X3,B) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X3,B),zero),multiplication(skolemFOFtoCNF_X3,B)) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))) = multiplication(skolemFOFtoCNF_X3,B),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))),addition(multiplication(skolemFOFtoCNF_X3,B),zero)) )],[refute_0_33,refute_0_37]) ).
cnf(refute_0_39,plain,
multiplication(c(skolemFOFtoCNF_X3),addition(skolemFOFtoCNF_X3,C)) = addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3),multiplication(c(skolemFOFtoCNF_X3),C)),
inference(subst,[],[refute_0_11:[bind(A,$fot(c(skolemFOFtoCNF_X3))),bind(B,$fot(skolemFOFtoCNF_X3))]]) ).
cnf(refute_0_40,plain,
( c(X0) != X1
| ~ test(X0)
| complement(X0,X1) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_41,plain,
( c(X0) != c(X0)
| ~ test(X0)
| complement(X0,c(X0)) ),
inference(subst,[],[refute_0_40:[bind(X1,$fot(c(X0)))]]) ).
cnf(refute_0_42,plain,
c(X0) = c(X0),
introduced(tautology,[refl,[$fot(c(X0))]]) ).
cnf(refute_0_43,plain,
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(resolve,[$cnf( $equal(c(X0),c(X0)) )],[refute_0_42,refute_0_41]) ).
cnf(refute_0_44,plain,
( ~ test(skolemFOFtoCNF_X3)
| complement(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3)) ),
inference(subst,[],[refute_0_43:[bind(X0,$fot(skolemFOFtoCNF_X3))]]) ).
cnf(refute_0_45,plain,
complement(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3)),
inference(resolve,[$cnf( test(skolemFOFtoCNF_X3) )],[refute_0_15,refute_0_44]) ).
cnf(refute_0_46,plain,
( ~ complement(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3))
| multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3) = zero ),
inference(subst,[],[refute_0_19:[bind(X0,$fot(c(skolemFOFtoCNF_X3))),bind(X1,$fot(skolemFOFtoCNF_X3))]]) ).
cnf(refute_0_47,plain,
multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3) = zero,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3)) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( multiplication(c(skolemFOFtoCNF_X3),addition(skolemFOFtoCNF_X3,C)) != addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3),multiplication(c(skolemFOFtoCNF_X3),C))
| multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3) != zero
| multiplication(c(skolemFOFtoCNF_X3),addition(skolemFOFtoCNF_X3,C)) = addition(zero,multiplication(c(skolemFOFtoCNF_X3),C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X3),addition(skolemFOFtoCNF_X3,C)),addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3),multiplication(c(skolemFOFtoCNF_X3),C))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_49,plain,
( multiplication(c(skolemFOFtoCNF_X3),addition(skolemFOFtoCNF_X3,C)) != addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3),multiplication(c(skolemFOFtoCNF_X3),C))
| multiplication(c(skolemFOFtoCNF_X3),addition(skolemFOFtoCNF_X3,C)) = addition(zero,multiplication(c(skolemFOFtoCNF_X3),C)) ),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3),zero) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
multiplication(c(skolemFOFtoCNF_X3),addition(skolemFOFtoCNF_X3,C)) = addition(zero,multiplication(c(skolemFOFtoCNF_X3),C)),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X3),addition(skolemFOFtoCNF_X3,C)),addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3),multiplication(c(skolemFOFtoCNF_X3),C))) )],[refute_0_39,refute_0_49]) ).
cnf(refute_0_51,plain,
addition(A,zero) = addition(zero,A),
inference(subst,[],[refute_0_1:[bind(B,$fot(zero))]]) ).
cnf(refute_0_52,plain,
( addition(A,zero) != A
| addition(A,zero) != addition(zero,A)
| addition(zero,A) = A ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,zero),A) ),[0],$fot(addition(zero,A))]]) ).
cnf(refute_0_53,plain,
( addition(A,zero) != A
| addition(zero,A) = A ),
inference(resolve,[$cnf( $equal(addition(A,zero),addition(zero,A)) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
addition(zero,A) = A,
inference(resolve,[$cnf( $equal(addition(A,zero),A) )],[refute_0_34,refute_0_53]) ).
cnf(refute_0_55,plain,
addition(zero,multiplication(c(skolemFOFtoCNF_X3),C)) = multiplication(c(skolemFOFtoCNF_X3),C),
inference(subst,[],[refute_0_54:[bind(A,$fot(multiplication(c(skolemFOFtoCNF_X3),C)))]]) ).
cnf(refute_0_56,plain,
( addition(zero,multiplication(c(skolemFOFtoCNF_X3),C)) != multiplication(c(skolemFOFtoCNF_X3),C)
| multiplication(c(skolemFOFtoCNF_X3),addition(skolemFOFtoCNF_X3,C)) != addition(zero,multiplication(c(skolemFOFtoCNF_X3),C))
| multiplication(c(skolemFOFtoCNF_X3),addition(skolemFOFtoCNF_X3,C)) = multiplication(c(skolemFOFtoCNF_X3),C) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X3),addition(skolemFOFtoCNF_X3,C)),addition(zero,multiplication(c(skolemFOFtoCNF_X3),C))) ),[1],$fot(multiplication(c(skolemFOFtoCNF_X3),C))]]) ).
cnf(refute_0_57,plain,
( multiplication(c(skolemFOFtoCNF_X3),addition(skolemFOFtoCNF_X3,C)) != addition(zero,multiplication(c(skolemFOFtoCNF_X3),C))
| multiplication(c(skolemFOFtoCNF_X3),addition(skolemFOFtoCNF_X3,C)) = multiplication(c(skolemFOFtoCNF_X3),C) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(c(skolemFOFtoCNF_X3),C)),multiplication(c(skolemFOFtoCNF_X3),C)) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
multiplication(c(skolemFOFtoCNF_X3),addition(skolemFOFtoCNF_X3,C)) = multiplication(c(skolemFOFtoCNF_X3),C),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X3),addition(skolemFOFtoCNF_X3,C)),addition(zero,multiplication(c(skolemFOFtoCNF_X3),C))) )],[refute_0_50,refute_0_57]) ).
cnf(refute_0_59,plain,
multiplication(c(skolemFOFtoCNF_X3),addition(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) = multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),
inference(subst,[],[refute_0_58:[bind(C,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_60,plain,
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_61,plain,
( ~ complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3)
| addition(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) = one ),
inference(subst,[],[refute_0_60:[bind(X0,$fot(skolemFOFtoCNF_X3)),bind(X1,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_62,plain,
addition(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) = one,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3) )],[refute_0_18,refute_0_61]) ).
cnf(refute_0_63,plain,
( addition(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) != one
| multiplication(c(skolemFOFtoCNF_X3),addition(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) != multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))
| multiplication(c(skolemFOFtoCNF_X3),one) = multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X3),addition(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_64,plain,
( multiplication(c(skolemFOFtoCNF_X3),addition(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) != multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))
| multiplication(c(skolemFOFtoCNF_X3),one) = multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),one) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
multiplication(c(skolemFOFtoCNF_X3),one) = multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X3),addition(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) )],[refute_0_59,refute_0_64]) ).
cnf(refute_0_66,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_67,plain,
multiplication(c(skolemFOFtoCNF_X3),one) = c(skolemFOFtoCNF_X3),
inference(subst,[],[refute_0_66:[bind(A,$fot(c(skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_68,plain,
( multiplication(c(skolemFOFtoCNF_X3),one) != c(skolemFOFtoCNF_X3)
| multiplication(c(skolemFOFtoCNF_X3),one) != multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))
| c(skolemFOFtoCNF_X3) = multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X3),one),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) ),[0],$fot(c(skolemFOFtoCNF_X3))]]) ).
cnf(refute_0_69,plain,
( multiplication(c(skolemFOFtoCNF_X3),one) != multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))
| c(skolemFOFtoCNF_X3) = multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) ),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X3),one),c(skolemFOFtoCNF_X3)) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_71,plain,
multiplication(addition(skolemFOFtoCNF_X3,B),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) = addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),multiplication(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_X3)),bind(C,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_72,plain,
( multiplication(addition(skolemFOFtoCNF_X3,B),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) != addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),multiplication(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))
| multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) != zero
| multiplication(addition(skolemFOFtoCNF_X3,B),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) = addition(zero,multiplication(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X3,B),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),multiplication(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_73,plain,
( multiplication(addition(skolemFOFtoCNF_X3,B),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) != addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),multiplication(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))
| multiplication(addition(skolemFOFtoCNF_X3,B),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) = addition(zero,multiplication(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),zero) )],[refute_0_21,refute_0_72]) ).
cnf(refute_0_74,plain,
multiplication(addition(skolemFOFtoCNF_X3,B),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) = addition(zero,multiplication(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))),
inference(resolve,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X3,B),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),multiplication(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))) )],[refute_0_71,refute_0_73]) ).
cnf(refute_0_75,plain,
addition(zero,multiplication(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) = multiplication(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),
inference(subst,[],[refute_0_54:[bind(A,$fot(multiplication(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))))]]) ).
cnf(refute_0_76,plain,
( addition(zero,multiplication(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) != multiplication(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))
| multiplication(addition(skolemFOFtoCNF_X3,B),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) != addition(zero,multiplication(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))
| multiplication(addition(skolemFOFtoCNF_X3,B),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) = multiplication(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X3,B),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),addition(zero,multiplication(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))) ),[1],$fot(multiplication(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_77,plain,
( multiplication(addition(skolemFOFtoCNF_X3,B),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) != addition(zero,multiplication(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))
| multiplication(addition(skolemFOFtoCNF_X3,B),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) = multiplication(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))),multiplication(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
multiplication(addition(skolemFOFtoCNF_X3,B),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) = multiplication(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),
inference(resolve,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X3,B),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),addition(zero,multiplication(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))) )],[refute_0_74,refute_0_77]) ).
cnf(refute_0_79,plain,
multiplication(addition(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) = multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),
inference(subst,[],[refute_0_78:[bind(B,$fot(c(skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_80,plain,
( ~ complement(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3))
| addition(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3) = one ),
inference(subst,[],[refute_0_60:[bind(X0,$fot(c(skolemFOFtoCNF_X3))),bind(X1,$fot(skolemFOFtoCNF_X3))]]) ).
cnf(refute_0_81,plain,
addition(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3) = one,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3)) )],[refute_0_45,refute_0_80]) ).
cnf(refute_0_82,plain,
addition(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3) = addition(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3)),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_X3)),bind(B,$fot(c(skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_83,plain,
( addition(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3) != addition(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3))
| addition(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3) != one
| addition(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3),one) ),[0],$fot(addition(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_84,plain,
( addition(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3) != one
| addition(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3)) = one ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3),addition(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
addition(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3)) = one,
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X3),one) )],[refute_0_81,refute_0_84]) ).
cnf(refute_0_86,plain,
( addition(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3)) != one
| multiplication(addition(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) != multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))
| multiplication(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) = multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_87,plain,
( multiplication(addition(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) != multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))
| multiplication(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) = multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3)),one) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
multiplication(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) = multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),
inference(resolve,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) )],[refute_0_79,refute_0_87]) ).
cnf(refute_0_89,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_90,plain,
multiplication(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),
inference(subst,[],[refute_0_89:[bind(A,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_91,plain,
( multiplication(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) != multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))
| multiplication(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) != skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)
| skolemFOFtoCNF_X1(skolemFOFtoCNF_X3) = multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) ),[0],$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))]]) ).
cnf(refute_0_92,plain,
( multiplication(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) != multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))
| skolemFOFtoCNF_X1(skolemFOFtoCNF_X3) = multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) ),
inference(resolve,[$cnf( $equal(multiplication(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
skolemFOFtoCNF_X1(skolemFOFtoCNF_X3) = multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),
inference(resolve,[$cnf( $equal(multiplication(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) )],[refute_0_88,refute_0_92]) ).
cnf(refute_0_94,plain,
( skolemFOFtoCNF_X1(skolemFOFtoCNF_X3) != multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))
| multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X3) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))),bind(Y,$fot(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))))]]) ).
cnf(refute_0_95,plain,
multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
( c(skolemFOFtoCNF_X3) != multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))
| multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) != skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)
| c(skolemFOFtoCNF_X3) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) ),[0],$fot(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_97,plain,
( c(skolemFOFtoCNF_X3) != multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))
| c(skolemFOFtoCNF_X3) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X3) ),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
( multiplication(c(skolemFOFtoCNF_X3),one) != multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))
| c(skolemFOFtoCNF_X3) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X3) ),
inference(resolve,[$cnf( $equal(c(skolemFOFtoCNF_X3),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) )],[refute_0_69,refute_0_97]) ).
cnf(refute_0_99,plain,
c(skolemFOFtoCNF_X3) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X3),one),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) )],[refute_0_65,refute_0_98]) ).
cnf(refute_0_100,plain,
( c(skolemFOFtoCNF_X3) != skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)
| skolemFOFtoCNF_X1(skolemFOFtoCNF_X3) = c(skolemFOFtoCNF_X3) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(c(skolemFOFtoCNF_X3))),bind(Y,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_101,plain,
skolemFOFtoCNF_X1(skolemFOFtoCNF_X3) = c(skolemFOFtoCNF_X3),
inference(resolve,[$cnf( $equal(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347) = multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347),
introduced(tautology,[refl,[$fot(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))]]) ).
cnf(refute_0_103,plain,
( multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347) != multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)
| skolemFOFtoCNF_X1(skolemFOFtoCNF_X3) != c(skolemFOFtoCNF_X3)
| multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347) = multiplication(c(skolemFOFtoCNF_X3),X_347) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347),multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)) ),[1,0],$fot(c(skolemFOFtoCNF_X3))]]) ).
cnf(refute_0_104,plain,
( skolemFOFtoCNF_X1(skolemFOFtoCNF_X3) != c(skolemFOFtoCNF_X3)
| multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347) = multiplication(c(skolemFOFtoCNF_X3),X_347) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347),multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347) = multiplication(c(skolemFOFtoCNF_X3),X_347),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),c(skolemFOFtoCNF_X3)) )],[refute_0_101,refute_0_104]) ).
cnf(refute_0_106,plain,
addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)) = addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)),
introduced(tautology,[refl,[$fot(addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)))]]) ).
cnf(refute_0_107,plain,
( addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)) != addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))
| multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347) != multiplication(c(skolemFOFtoCNF_X3),X_347)
| addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)) = addition(B,multiplication(c(skolemFOFtoCNF_X3),X_347)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)),addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))) ),[1,1],$fot(multiplication(c(skolemFOFtoCNF_X3),X_347))]]) ).
cnf(refute_0_108,plain,
( multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347) != multiplication(c(skolemFOFtoCNF_X3),X_347)
| addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)) = addition(B,multiplication(c(skolemFOFtoCNF_X3),X_347)) ),
inference(resolve,[$cnf( $equal(addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)),addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)) = addition(B,multiplication(c(skolemFOFtoCNF_X3),X_347)),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347),multiplication(c(skolemFOFtoCNF_X3),X_347)) )],[refute_0_105,refute_0_108]) ).
cnf(refute_0_110,plain,
multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))) = multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))),
introduced(tautology,[refl,[$fot(multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))))]]) ).
cnf(refute_0_111,plain,
( addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)) != addition(B,multiplication(c(skolemFOFtoCNF_X3),X_347))
| multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))) != multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)))
| multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))) = multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(c(skolemFOFtoCNF_X3),X_347))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))),multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)))) ),[1,1],$fot(addition(B,multiplication(c(skolemFOFtoCNF_X3),X_347)))]]) ).
cnf(refute_0_112,plain,
( addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)) != addition(B,multiplication(c(skolemFOFtoCNF_X3),X_347))
| multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))) = multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(c(skolemFOFtoCNF_X3),X_347))) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))),multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)))) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))) = multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(c(skolemFOFtoCNF_X3),X_347))),
inference(resolve,[$cnf( $equal(addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347)),addition(B,multiplication(c(skolemFOFtoCNF_X3),X_347))) )],[refute_0_109,refute_0_112]) ).
cnf(refute_0_114,plain,
( multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))) != multiplication(skolemFOFtoCNF_X3,B)
| multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))) != multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(c(skolemFOFtoCNF_X3),X_347)))
| multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(c(skolemFOFtoCNF_X3),X_347))) = multiplication(skolemFOFtoCNF_X3,B) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))),multiplication(skolemFOFtoCNF_X3,B)) ),[0],$fot(multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(c(skolemFOFtoCNF_X3),X_347))))]]) ).
cnf(refute_0_115,plain,
( multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))) != multiplication(skolemFOFtoCNF_X3,B)
| multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(c(skolemFOFtoCNF_X3),X_347))) = multiplication(skolemFOFtoCNF_X3,B) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))),multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(c(skolemFOFtoCNF_X3),X_347)))) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(c(skolemFOFtoCNF_X3),X_347))) = multiplication(skolemFOFtoCNF_X3,B),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,addition(B,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),X_347))),multiplication(skolemFOFtoCNF_X3,B)) )],[refute_0_38,refute_0_115]) ).
cnf(refute_0_117,plain,
multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1))) = multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_116:[bind(B,$fot(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))),bind(X_347,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_118,plain,
addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1)))) = addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1)))),
introduced(tautology,[refl,[$fot(addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1)))))]]) ).
cnf(refute_0_119,plain,
( addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1)))) != addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1))))
| multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1))) != multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))
| addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1)))) = addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1)))),addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1))))) ),[1,1],$fot(multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_120,plain,
( multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1))) != multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))
| addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1)))) = addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1)))),addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1))))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1)))) = addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1))),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
( addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1)))) != addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0)))
| addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))) != addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2))
| addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1)))) = addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1)))),addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2))) ),[0],$fot(addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_123,plain,
( addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))) != addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2))
| addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1)))) = addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1)))),addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0)))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))) != addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X1_1)))),addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2))) )],[refute_0_123,refute_0_10]) ).
cnf(refute_0_125,plain,
addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0)) = addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_6:[bind(A,$fot(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))),bind(B,$fot(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_126,plain,
multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,C)) = multiplication(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3),C),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_X3)),bind(B,$fot(skolemFOFtoCNF_X3))]]) ).
cnf(refute_0_127,plain,
multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) = addition(multiplication(skolemFOFtoCNF_X3,B),multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))),
inference(subst,[],[refute_0_11:[bind(A,$fot(skolemFOFtoCNF_X3)),bind(C,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_128,plain,
( multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) != addition(multiplication(skolemFOFtoCNF_X3,B),multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))
| multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) != zero
| multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) = addition(multiplication(skolemFOFtoCNF_X3,B),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))),addition(multiplication(skolemFOFtoCNF_X3,B),multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_129,plain,
( multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) != addition(multiplication(skolemFOFtoCNF_X3,B),multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))
| multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) = addition(multiplication(skolemFOFtoCNF_X3,B),zero) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),zero) )],[refute_0_21,refute_0_128]) ).
cnf(refute_0_130,plain,
multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) = addition(multiplication(skolemFOFtoCNF_X3,B),zero),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))),addition(multiplication(skolemFOFtoCNF_X3,B),multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))) )],[refute_0_127,refute_0_129]) ).
cnf(refute_0_131,plain,
( addition(multiplication(skolemFOFtoCNF_X3,B),zero) != multiplication(skolemFOFtoCNF_X3,B)
| multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) != addition(multiplication(skolemFOFtoCNF_X3,B),zero)
| multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) = multiplication(skolemFOFtoCNF_X3,B) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))),addition(multiplication(skolemFOFtoCNF_X3,B),zero)) ),[1],$fot(multiplication(skolemFOFtoCNF_X3,B))]]) ).
cnf(refute_0_132,plain,
( multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) != addition(multiplication(skolemFOFtoCNF_X3,B),zero)
| multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) = multiplication(skolemFOFtoCNF_X3,B) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X3,B),zero),multiplication(skolemFOFtoCNF_X3,B)) )],[refute_0_35,refute_0_131]) ).
cnf(refute_0_133,plain,
multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) = multiplication(skolemFOFtoCNF_X3,B),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))),addition(multiplication(skolemFOFtoCNF_X3,B),zero)) )],[refute_0_130,refute_0_132]) ).
cnf(refute_0_134,plain,
addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) = addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),
introduced(tautology,[refl,[$fot(addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_135,plain,
( addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) != addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))
| skolemFOFtoCNF_X1(skolemFOFtoCNF_X3) != c(skolemFOFtoCNF_X3)
| addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) = addition(B,c(skolemFOFtoCNF_X3)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) ),[1,1],$fot(c(skolemFOFtoCNF_X3))]]) ).
cnf(refute_0_136,plain,
( skolemFOFtoCNF_X1(skolemFOFtoCNF_X3) != c(skolemFOFtoCNF_X3)
| addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) = addition(B,c(skolemFOFtoCNF_X3)) ),
inference(resolve,[$cnf( $equal(addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) = addition(B,c(skolemFOFtoCNF_X3)),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1(skolemFOFtoCNF_X3),c(skolemFOFtoCNF_X3)) )],[refute_0_101,refute_0_136]) ).
cnf(refute_0_138,plain,
multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) = multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))),
introduced(tautology,[refl,[$fot(multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))))]]) ).
cnf(refute_0_139,plain,
( addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) != addition(B,c(skolemFOFtoCNF_X3))
| multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) != multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))
| multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) = multiplication(skolemFOFtoCNF_X3,addition(B,c(skolemFOFtoCNF_X3))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))),multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))) ),[1,1],$fot(addition(B,c(skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_140,plain,
( addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)) != addition(B,c(skolemFOFtoCNF_X3))
| multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) = multiplication(skolemFOFtoCNF_X3,addition(B,c(skolemFOFtoCNF_X3))) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))),multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)))) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) = multiplication(skolemFOFtoCNF_X3,addition(B,c(skolemFOFtoCNF_X3))),
inference(resolve,[$cnf( $equal(addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3)),addition(B,c(skolemFOFtoCNF_X3))) )],[refute_0_137,refute_0_140]) ).
cnf(refute_0_142,plain,
( multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) != multiplication(skolemFOFtoCNF_X3,B)
| multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) != multiplication(skolemFOFtoCNF_X3,addition(B,c(skolemFOFtoCNF_X3)))
| multiplication(skolemFOFtoCNF_X3,addition(B,c(skolemFOFtoCNF_X3))) = multiplication(skolemFOFtoCNF_X3,B) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))),multiplication(skolemFOFtoCNF_X3,B)) ),[0],$fot(multiplication(skolemFOFtoCNF_X3,addition(B,c(skolemFOFtoCNF_X3))))]]) ).
cnf(refute_0_143,plain,
( multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))) != multiplication(skolemFOFtoCNF_X3,B)
| multiplication(skolemFOFtoCNF_X3,addition(B,c(skolemFOFtoCNF_X3))) = multiplication(skolemFOFtoCNF_X3,B) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))),multiplication(skolemFOFtoCNF_X3,addition(B,c(skolemFOFtoCNF_X3)))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
multiplication(skolemFOFtoCNF_X3,addition(B,c(skolemFOFtoCNF_X3))) = multiplication(skolemFOFtoCNF_X3,B),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,addition(B,skolemFOFtoCNF_X1(skolemFOFtoCNF_X3))),multiplication(skolemFOFtoCNF_X3,B)) )],[refute_0_133,refute_0_143]) ).
cnf(refute_0_145,plain,
multiplication(skolemFOFtoCNF_X3,addition(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3))) = multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3),
inference(subst,[],[refute_0_144:[bind(B,$fot(skolemFOFtoCNF_X3))]]) ).
cnf(refute_0_146,plain,
( addition(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3)) != one
| multiplication(skolemFOFtoCNF_X3,addition(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3))) != multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3)
| multiplication(skolemFOFtoCNF_X3,one) = multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,addition(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3))),multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3)) ),[0,1],$fot(one)]]) ).
cnf(refute_0_147,plain,
( multiplication(skolemFOFtoCNF_X3,addition(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3))) != multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3)
| multiplication(skolemFOFtoCNF_X3,one) = multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3)),one) )],[refute_0_85,refute_0_146]) ).
cnf(refute_0_148,plain,
multiplication(skolemFOFtoCNF_X3,one) = multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,addition(skolemFOFtoCNF_X3,c(skolemFOFtoCNF_X3))),multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3)) )],[refute_0_145,refute_0_147]) ).
cnf(refute_0_149,plain,
multiplication(skolemFOFtoCNF_X3,one) = skolemFOFtoCNF_X3,
inference(subst,[],[refute_0_66:[bind(A,$fot(skolemFOFtoCNF_X3))]]) ).
cnf(refute_0_150,plain,
( multiplication(skolemFOFtoCNF_X3,one) != multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3)
| multiplication(skolemFOFtoCNF_X3,one) != skolemFOFtoCNF_X3
| skolemFOFtoCNF_X3 = multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,one),multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3)) ),[0],$fot(skolemFOFtoCNF_X3)]]) ).
cnf(refute_0_151,plain,
( multiplication(skolemFOFtoCNF_X3,one) != multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3)
| skolemFOFtoCNF_X3 = multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,one),skolemFOFtoCNF_X3) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
skolemFOFtoCNF_X3 = multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,one),multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3)) )],[refute_0_148,refute_0_151]) ).
cnf(refute_0_153,plain,
( skolemFOFtoCNF_X3 != multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3)
| multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3) = skolemFOFtoCNF_X3 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_X3)),bind(Y,$fot(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_154,plain,
multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3) = skolemFOFtoCNF_X3,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3)) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
( multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,C)) != multiplication(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3),C)
| multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3) != skolemFOFtoCNF_X3
| multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,C)) = multiplication(skolemFOFtoCNF_X3,C) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,C)),multiplication(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3),C)) ),[1,0],$fot(skolemFOFtoCNF_X3)]]) ).
cnf(refute_0_156,plain,
( multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,C)) != multiplication(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3),C)
| multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,C)) = multiplication(skolemFOFtoCNF_X3,C) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3),skolemFOFtoCNF_X3) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,C)) = multiplication(skolemFOFtoCNF_X3,C),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,C)),multiplication(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X3),C)) )],[refute_0_126,refute_0_156]) ).
cnf(refute_0_158,plain,
multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0)) = multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_157:[bind(C,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_159,plain,
addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))) = addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_160,plain,
( addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))) != addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0)))
| multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0)) != multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0)
| addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))) = addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))),addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0)))) ),[1,1],$fot(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_161,plain,
( multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0)) != multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0)
| addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))) = addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))),addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0)))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))) = addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0)) )],[refute_0_158,refute_0_161]) ).
cnf(refute_0_163,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_164,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_163]) ).
cnf(refute_0_165,plain,
( addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))) != addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))
| addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0)) != addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2))
| addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))) = addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)) ),
inference(subst,[],[refute_0_164:[bind(X,$fot(addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))))),bind(Y,$fot(addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0)))),bind(Z,$fot(addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_166,plain,
( addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0)) != addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2))
| addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))) = addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))),addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))) )],[refute_0_162,refute_0_165]) ).
cnf(refute_0_167,plain,
addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))) = addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0)),addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2))) )],[refute_0_125,refute_0_166]) ).
cnf(refute_0_168,plain,
( addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))) != addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2))
| addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)) != addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2))
| addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))) = addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))),addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2))) ),[0],$fot(addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_169,plain,
( addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)) != addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2))
| addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))) = addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))),addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)) != addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X3,multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0))),addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2))) )],[refute_0_169,refute_0_124]) ).
cnf(refute_0_171,plain,
addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)) = addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)),
introduced(tautology,[refl,[$fot(addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_172,plain,
$false,
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2)),addition(multiplication(skolemFOFtoCNF_X3,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X3),skolemFOFtoCNF_X2))) )],[refute_0_171,refute_0_170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KLE027+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.32 % Computer : n005.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Thu Jun 16 09:29:23 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 4.91/5.13 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.91/5.13
% 4.91/5.13 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.91/5.15
%------------------------------------------------------------------------------