TSTP Solution File: KLE025+2 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE025+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 02:14:44 EDT 2022
% Result : Theorem 34.35s 34.53s
% Output : CNFRefutation 34.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 71
% Syntax : Number of formulae : 280 ( 128 unt; 0 def)
% Number of atoms : 517 ( 438 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 448 ( 211 ~; 204 |; 18 &)
% ( 9 <=>; 6 =>; 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 : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 230 ( 6 sgn 88 !; 4 ?)
% 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(test_4,axiom,
! [X0] :
( ~ test(X0)
=> c(X0) = zero ) ).
fof(goals,conjecture,
! [X0,X1,X2] :
( ( test(X1)
& test(X2) )
=> ( multiplication(multiplication(X1,X0),c(X2)) = zero
=> multiplication(X1,X0) = multiplication(multiplication(X1,X0),X2) ) ) ).
fof(subgoal_0,plain,
! [X0,X1,X2] :
( ( test(X1)
& test(X2)
& multiplication(multiplication(X1,X0),c(X2)) = zero )
=> multiplication(X1,X0) = multiplication(multiplication(X1,X0),X2) ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1,X2] :
( ( test(X1)
& test(X2)
& multiplication(multiplication(X1,X0),c(X2)) = zero )
=> multiplication(X1,X0) = multiplication(multiplication(X1,X0),X2) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0,X1,X2] :
( multiplication(X1,X0) != multiplication(multiplication(X1,X0),X2)
& multiplication(multiplication(X1,X0),c(X2)) = zero
& test(X1)
& test(X2) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) != multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2)
& multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X2)) = zero
& test(skolemFOFtoCNF_X1_1)
& test(skolemFOFtoCNF_X2) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) != multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[multiplicative_associativity]) ).
fof(normalize_0_4,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X2)) = zero,
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_6,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_0_7,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A] : addition(A,zero) = A,
inference(canonicalize,[],[additive_identity]) ).
fof(normalize_0_9,plain,
! [A] : addition(A,zero) = A,
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_11,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0] :
( c(X0) = zero
| test(X0) ),
inference(canonicalize,[],[test_4]) ).
fof(normalize_0_13,plain,
! [X0] :
( c(X0) = zero
| test(X0) ),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X0] :
( ~ test(X0)
| ! [X1] :
( c(X0) != X1
<=> ~ complement(X0,X1) ) ),
inference(canonicalize,[],[test_3]) ).
fof(normalize_0_15,plain,
! [X0] :
( ~ test(X0)
| ! [X1] :
( c(X0) != X1
<=> ~ complement(X0,X1) ) ),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X0,X1] :
( ( c(X0) != X1
| ~ test(X0)
| complement(X0,X1) )
& ( ~ complement(X0,X1)
| ~ test(X0)
| c(X0) = X1 ) ),
inference(clausify,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [X0,X1] :
( c(X0) != X1
| ~ test(X0)
| complement(X0,X1) ),
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_18,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_19,plain,
! [X0,X1] :
( ~ complement(X1,X0)
<=> ( addition(X0,X1) != one
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero ) ),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,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_19]) ).
fof(normalize_0_21,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_23,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
test(skolemFOFtoCNF_X2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_25,plain,
! [X0] :
( ~ test(X0)
<=> ! [X1] : ~ complement(X1,X0) ),
inference(canonicalize,[],[test_1]) ).
fof(normalize_0_26,plain,
! [X0] :
( ~ test(X0)
<=> ! [X1] : ~ complement(X1,X0) ),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [X0,X1] :
( ( ~ complement(X1,X0)
| test(X0) )
& ( ~ test(X0)
| complement(skolemFOFtoCNF_X1(X0),X0) ) ),
inference(clausify,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| test(X0) ),
inference(conjunct,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| multiplication(X1,X0) = zero ),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_30,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_31,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_33,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [A] : multiplication(zero,A) = zero,
inference(canonicalize,[],[left_annihilation]) ).
fof(normalize_0_35,plain,
! [A] : multiplication(zero,A) = zero,
inference(specialize,[],[normalize_0_34]) ).
cnf(refute_0_0,plain,
multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) != multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),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( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( multiplication(A,multiplication(B,C)) != multiplication(multiplication(A,B),C)
| multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(A,multiplication(B,C)))),bind(Y,$fot(multiplication(multiplication(A,B),C)))]]) ).
cnf(refute_0_6,plain,
multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)),
inference(resolve,[$cnf( $equal(multiplication(A,multiplication(B,C)),multiplication(multiplication(A,B),C)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_X1_1)),bind(B,$fot(skolemFOFtoCNF_X0)),bind(C,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_8,plain,
( multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2)) ),[1],$fot(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_9,plain,
( multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2)) )],[refute_0_9,refute_0_0]) ).
cnf(refute_0_11,plain,
multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X2)) = zero,
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_12,plain,
multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_X1_1)),bind(B,$fot(skolemFOFtoCNF_X0)),bind(C,$fot(c(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_13,plain,
( multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X2)) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)))
| multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X2)) != zero
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X2)),zero) ),[0],$fot(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_14,plain,
( multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X2)) != zero
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)))) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))) = zero,
inference(resolve,[$cnf( $equal(multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X2)),zero) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_17,plain,
multiplication(skolemFOFtoCNF_X1_1,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_335)) = addition(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X1_1,X_335)),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_X1_1)),bind(B,$fot(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)))),bind(C,$fot(X_335))]]) ).
cnf(refute_0_18,plain,
( multiplication(skolemFOFtoCNF_X1_1,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_335)) != addition(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X1_1,X_335))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))) != zero
| multiplication(skolemFOFtoCNF_X1_1,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_335)) = addition(zero,multiplication(skolemFOFtoCNF_X1_1,X_335)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_335)),addition(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X1_1,X_335))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_19,plain,
( multiplication(skolemFOFtoCNF_X1_1,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_335)) != addition(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X1_1,X_335))
| multiplication(skolemFOFtoCNF_X1_1,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_335)) = addition(zero,multiplication(skolemFOFtoCNF_X1_1,X_335)) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))),zero) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
multiplication(skolemFOFtoCNF_X1_1,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_335)) = addition(zero,multiplication(skolemFOFtoCNF_X1_1,X_335)),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_335)),addition(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X1_1,X_335))) )],[refute_0_17,refute_0_19]) ).
cnf(refute_0_21,plain,
addition(A,zero) = A,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_22,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_23,plain,
addition(A,zero) = addition(zero,A),
inference(subst,[],[refute_0_22:[bind(B,$fot(zero))]]) ).
cnf(refute_0_24,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_25,plain,
( addition(A,zero) != A
| addition(zero,A) = A ),
inference(resolve,[$cnf( $equal(addition(A,zero),addition(zero,A)) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
addition(zero,A) = A,
inference(resolve,[$cnf( $equal(addition(A,zero),A) )],[refute_0_21,refute_0_25]) ).
cnf(refute_0_27,plain,
addition(zero,multiplication(skolemFOFtoCNF_X1_1,X_335)) = multiplication(skolemFOFtoCNF_X1_1,X_335),
inference(subst,[],[refute_0_26:[bind(A,$fot(multiplication(skolemFOFtoCNF_X1_1,X_335)))]]) ).
cnf(refute_0_28,plain,
( addition(zero,multiplication(skolemFOFtoCNF_X1_1,X_335)) != multiplication(skolemFOFtoCNF_X1_1,X_335)
| multiplication(skolemFOFtoCNF_X1_1,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_335)) != addition(zero,multiplication(skolemFOFtoCNF_X1_1,X_335))
| multiplication(skolemFOFtoCNF_X1_1,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_335)) = multiplication(skolemFOFtoCNF_X1_1,X_335) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_335)),addition(zero,multiplication(skolemFOFtoCNF_X1_1,X_335))) ),[1],$fot(multiplication(skolemFOFtoCNF_X1_1,X_335))]]) ).
cnf(refute_0_29,plain,
( multiplication(skolemFOFtoCNF_X1_1,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_335)) != addition(zero,multiplication(skolemFOFtoCNF_X1_1,X_335))
| multiplication(skolemFOFtoCNF_X1_1,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_335)) = multiplication(skolemFOFtoCNF_X1_1,X_335) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(skolemFOFtoCNF_X1_1,X_335)),multiplication(skolemFOFtoCNF_X1_1,X_335)) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
multiplication(skolemFOFtoCNF_X1_1,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_335)) = multiplication(skolemFOFtoCNF_X1_1,X_335),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_335)),addition(zero,multiplication(skolemFOFtoCNF_X1_1,X_335))) )],[refute_0_20,refute_0_29]) ).
cnf(refute_0_31,plain,
multiplication(skolemFOFtoCNF_X1_1,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,C))) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,C)),
inference(subst,[],[refute_0_30:[bind(X_335,$fot(multiplication(skolemFOFtoCNF_X0,C)))]]) ).
cnf(refute_0_32,plain,
multiplication(skolemFOFtoCNF_X0,addition(c(skolemFOFtoCNF_X2),C)) = addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,C)),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(c(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_33,plain,
( multiplication(skolemFOFtoCNF_X0,addition(c(skolemFOFtoCNF_X2),C)) != addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,C))
| addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,C)) = multiplication(skolemFOFtoCNF_X0,addition(c(skolemFOFtoCNF_X2),C)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(skolemFOFtoCNF_X0,addition(c(skolemFOFtoCNF_X2),C)))),bind(Y,$fot(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,C))))]]) ).
cnf(refute_0_34,plain,
addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,C)) = multiplication(skolemFOFtoCNF_X0,addition(c(skolemFOFtoCNF_X2),C)),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(c(skolemFOFtoCNF_X2),C)),addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,C))) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
( addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,C)) != multiplication(skolemFOFtoCNF_X0,addition(c(skolemFOFtoCNF_X2),C))
| multiplication(skolemFOFtoCNF_X1_1,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,C))) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,C))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,addition(c(skolemFOFtoCNF_X2),C))) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,C))),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,C))) ),[0,1],$fot(multiplication(skolemFOFtoCNF_X0,addition(c(skolemFOFtoCNF_X2),C)))]]) ).
cnf(refute_0_36,plain,
( multiplication(skolemFOFtoCNF_X1_1,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,C))) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,C))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,addition(c(skolemFOFtoCNF_X2),C))) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,C)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,C)),multiplication(skolemFOFtoCNF_X0,addition(c(skolemFOFtoCNF_X2),C))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,addition(c(skolemFOFtoCNF_X2),C))) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,C)),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,C))),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,C))) )],[refute_0_31,refute_0_36]) ).
cnf(refute_0_38,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,addition(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))))) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2)))),
inference(subst,[],[refute_0_37:[bind(C,$fot(c(c(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_39,plain,
( c(X0) = zero
| test(X0) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_40,plain,
( c(X_11) = zero
| test(X_11) ),
inference(subst,[],[refute_0_39:[bind(X0,$fot(X_11))]]) ).
cnf(refute_0_41,plain,
( c(X0) != X1
| ~ test(X0)
| complement(X0,X1) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_42,plain,
( c(X0) != c(X0)
| ~ test(X0)
| complement(X0,c(X0)) ),
inference(subst,[],[refute_0_41:[bind(X1,$fot(c(X0)))]]) ).
cnf(refute_0_43,plain,
c(X0) = c(X0),
introduced(tautology,[refl,[$fot(c(X0))]]) ).
cnf(refute_0_44,plain,
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(resolve,[$cnf( $equal(c(X0),c(X0)) )],[refute_0_43,refute_0_42]) ).
cnf(refute_0_45,plain,
( ~ test(X_11)
| complement(X_11,c(X_11)) ),
inference(subst,[],[refute_0_44:[bind(X0,$fot(X_11))]]) ).
cnf(refute_0_46,plain,
( c(X_11) = zero
| complement(X_11,c(X_11)) ),
inference(resolve,[$cnf( test(X_11) )],[refute_0_40,refute_0_45]) ).
cnf(refute_0_47,plain,
( c(X_46) = zero
| complement(X_46,c(X_46)) ),
inference(subst,[],[refute_0_46:[bind(X_11,$fot(X_46))]]) ).
cnf(refute_0_48,plain,
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_49,plain,
( ~ complement(X_46,c(X_46))
| addition(c(X_46),X_46) = one ),
inference(subst,[],[refute_0_48:[bind(X0,$fot(c(X_46))),bind(X1,$fot(X_46))]]) ).
cnf(refute_0_50,plain,
( addition(c(X_46),X_46) = one
| c(X_46) = zero ),
inference(resolve,[$cnf( complement(X_46,c(X_46)) )],[refute_0_47,refute_0_49]) ).
cnf(refute_0_51,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_52,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_22,refute_0_51]) ).
cnf(refute_0_53,plain,
addition(c(X_46),X_46) = addition(X_46,c(X_46)),
inference(subst,[],[refute_0_52:[bind(A,$fot(X_46)),bind(B,$fot(c(X_46)))]]) ).
cnf(refute_0_54,plain,
( addition(c(X_46),X_46) != addition(X_46,c(X_46))
| addition(c(X_46),X_46) != one
| addition(X_46,c(X_46)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_46),X_46),one) ),[0],$fot(addition(X_46,c(X_46)))]]) ).
cnf(refute_0_55,plain,
( addition(c(X_46),X_46) != one
| addition(X_46,c(X_46)) = one ),
inference(resolve,[$cnf( $equal(addition(c(X_46),X_46),addition(X_46,c(X_46))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
( addition(X_46,c(X_46)) = one
| c(X_46) = zero ),
inference(resolve,[$cnf( $equal(addition(c(X_46),X_46),one) )],[refute_0_50,refute_0_55]) ).
cnf(refute_0_57,plain,
( addition(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))) = one
| c(c(skolemFOFtoCNF_X2)) = zero ),
inference(subst,[],[refute_0_56:[bind(X_46,$fot(c(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_58,plain,
( addition(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))) != one
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,addition(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))))) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,one)) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,addition(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))))),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))))) ),[0,1,1],$fot(one)]]) ).
cnf(refute_0_59,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,addition(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))))) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))))
| c(c(skolemFOFtoCNF_X2)) = zero
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,one)) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2)))) ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))),one) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
( c(c(skolemFOFtoCNF_X2)) = zero
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,one)) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2)))) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,addition(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))))),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))))) )],[refute_0_38,refute_0_59]) ).
cnf(refute_0_61,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_62,plain,
multiplication(addition(X_365,c(skolemFOFtoCNF_X2)),c(c(skolemFOFtoCNF_X2))) = addition(multiplication(X_365,c(c(skolemFOFtoCNF_X2))),multiplication(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2)))),
inference(subst,[],[refute_0_61:[bind(A,$fot(X_365)),bind(B,$fot(c(skolemFOFtoCNF_X2))),bind(C,$fot(c(c(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_63,plain,
( ~ test(c(skolemFOFtoCNF_X2))
| complement(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))) ),
inference(subst,[],[refute_0_44:[bind(X0,$fot(c(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_64,plain,
test(skolemFOFtoCNF_X2),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_65,plain,
( ~ test(skolemFOFtoCNF_X2)
| complement(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)) ),
inference(subst,[],[refute_0_44:[bind(X0,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_66,plain,
complement(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( test(skolemFOFtoCNF_X2) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
( ~ complement(X1,X0)
| test(X0) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_68,plain,
( ~ complement(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2))
| test(c(skolemFOFtoCNF_X2)) ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(c(skolemFOFtoCNF_X2))),bind(X1,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_69,plain,
test(c(skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)) )],[refute_0_66,refute_0_68]) ).
cnf(refute_0_70,plain,
complement(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))),
inference(resolve,[$cnf( test(c(skolemFOFtoCNF_X2)) )],[refute_0_69,refute_0_63]) ).
cnf(refute_0_71,plain,
( ~ complement(X1,X0)
| multiplication(X1,X0) = zero ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_72,plain,
( ~ complement(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2)))
| multiplication(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))) = zero ),
inference(subst,[],[refute_0_71:[bind(X0,$fot(c(c(skolemFOFtoCNF_X2)))),bind(X1,$fot(c(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_73,plain,
multiplication(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))) = zero,
inference(resolve,[$cnf( complement(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))) )],[refute_0_70,refute_0_72]) ).
cnf(refute_0_74,plain,
( multiplication(addition(X_365,c(skolemFOFtoCNF_X2)),c(c(skolemFOFtoCNF_X2))) != addition(multiplication(X_365,c(c(skolemFOFtoCNF_X2))),multiplication(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))))
| multiplication(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))) != zero
| multiplication(addition(X_365,c(skolemFOFtoCNF_X2)),c(c(skolemFOFtoCNF_X2))) = addition(multiplication(X_365,c(c(skolemFOFtoCNF_X2))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_365,c(skolemFOFtoCNF_X2)),c(c(skolemFOFtoCNF_X2))),addition(multiplication(X_365,c(c(skolemFOFtoCNF_X2))),multiplication(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_75,plain,
( multiplication(addition(X_365,c(skolemFOFtoCNF_X2)),c(c(skolemFOFtoCNF_X2))) != addition(multiplication(X_365,c(c(skolemFOFtoCNF_X2))),multiplication(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))))
| multiplication(addition(X_365,c(skolemFOFtoCNF_X2)),c(c(skolemFOFtoCNF_X2))) = addition(multiplication(X_365,c(c(skolemFOFtoCNF_X2))),zero) ),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))),zero) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
multiplication(addition(X_365,c(skolemFOFtoCNF_X2)),c(c(skolemFOFtoCNF_X2))) = addition(multiplication(X_365,c(c(skolemFOFtoCNF_X2))),zero),
inference(resolve,[$cnf( $equal(multiplication(addition(X_365,c(skolemFOFtoCNF_X2)),c(c(skolemFOFtoCNF_X2))),addition(multiplication(X_365,c(c(skolemFOFtoCNF_X2))),multiplication(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))))) )],[refute_0_62,refute_0_75]) ).
cnf(refute_0_77,plain,
addition(multiplication(X_365,c(c(skolemFOFtoCNF_X2))),zero) = multiplication(X_365,c(c(skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_21:[bind(A,$fot(multiplication(X_365,c(c(skolemFOFtoCNF_X2)))))]]) ).
cnf(refute_0_78,plain,
( addition(multiplication(X_365,c(c(skolemFOFtoCNF_X2))),zero) != multiplication(X_365,c(c(skolemFOFtoCNF_X2)))
| multiplication(addition(X_365,c(skolemFOFtoCNF_X2)),c(c(skolemFOFtoCNF_X2))) != addition(multiplication(X_365,c(c(skolemFOFtoCNF_X2))),zero)
| multiplication(addition(X_365,c(skolemFOFtoCNF_X2)),c(c(skolemFOFtoCNF_X2))) = multiplication(X_365,c(c(skolemFOFtoCNF_X2))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_365,c(skolemFOFtoCNF_X2)),c(c(skolemFOFtoCNF_X2))),addition(multiplication(X_365,c(c(skolemFOFtoCNF_X2))),zero)) ),[1],$fot(multiplication(X_365,c(c(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_79,plain,
( multiplication(addition(X_365,c(skolemFOFtoCNF_X2)),c(c(skolemFOFtoCNF_X2))) != addition(multiplication(X_365,c(c(skolemFOFtoCNF_X2))),zero)
| multiplication(addition(X_365,c(skolemFOFtoCNF_X2)),c(c(skolemFOFtoCNF_X2))) = multiplication(X_365,c(c(skolemFOFtoCNF_X2))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_365,c(c(skolemFOFtoCNF_X2))),zero),multiplication(X_365,c(c(skolemFOFtoCNF_X2)))) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
multiplication(addition(X_365,c(skolemFOFtoCNF_X2)),c(c(skolemFOFtoCNF_X2))) = multiplication(X_365,c(c(skolemFOFtoCNF_X2))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_365,c(skolemFOFtoCNF_X2)),c(c(skolemFOFtoCNF_X2))),addition(multiplication(X_365,c(c(skolemFOFtoCNF_X2))),zero)) )],[refute_0_76,refute_0_79]) ).
cnf(refute_0_81,plain,
multiplication(addition(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)),c(c(skolemFOFtoCNF_X2))) = multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_80:[bind(X_365,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_82,plain,
( ~ complement(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2))
| addition(c(skolemFOFtoCNF_X2),skolemFOFtoCNF_X2) = one ),
inference(subst,[],[refute_0_48:[bind(X0,$fot(c(skolemFOFtoCNF_X2))),bind(X1,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_83,plain,
addition(c(skolemFOFtoCNF_X2),skolemFOFtoCNF_X2) = one,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)) )],[refute_0_66,refute_0_82]) ).
cnf(refute_0_84,plain,
addition(c(skolemFOFtoCNF_X2),skolemFOFtoCNF_X2) = addition(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_52:[bind(A,$fot(skolemFOFtoCNF_X2)),bind(B,$fot(c(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_85,plain,
( addition(c(skolemFOFtoCNF_X2),skolemFOFtoCNF_X2) != addition(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2))
| addition(c(skolemFOFtoCNF_X2),skolemFOFtoCNF_X2) != one
| addition(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),one) ),[0],$fot(addition(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_86,plain,
( addition(c(skolemFOFtoCNF_X2),skolemFOFtoCNF_X2) != one
| addition(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)) = one ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),addition(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
addition(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)) = one,
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),one) )],[refute_0_83,refute_0_86]) ).
cnf(refute_0_88,plain,
( addition(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)) != one
| multiplication(addition(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)),c(c(skolemFOFtoCNF_X2))) != multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2)))
| multiplication(one,c(c(skolemFOFtoCNF_X2))) = multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)),c(c(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2)))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_89,plain,
( multiplication(addition(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)),c(c(skolemFOFtoCNF_X2))) != multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2)))
| multiplication(one,c(c(skolemFOFtoCNF_X2))) = multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2))) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)),one) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
multiplication(one,c(c(skolemFOFtoCNF_X2))) = multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2))),
inference(resolve,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)),c(c(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2)))) )],[refute_0_81,refute_0_89]) ).
cnf(refute_0_91,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_92,plain,
multiplication(one,c(c(skolemFOFtoCNF_X2))) = c(c(skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_91:[bind(A,$fot(c(c(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_93,plain,
( multiplication(one,c(c(skolemFOFtoCNF_X2))) != c(c(skolemFOFtoCNF_X2))
| multiplication(one,c(c(skolemFOFtoCNF_X2))) != multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2)))
| c(c(skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,c(c(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2)))) ),[0],$fot(c(c(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_94,plain,
( multiplication(one,c(c(skolemFOFtoCNF_X2))) != multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2)))
| c(c(skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2))) ),
inference(resolve,[$cnf( $equal(multiplication(one,c(c(skolemFOFtoCNF_X2))),c(c(skolemFOFtoCNF_X2))) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
multiplication(skolemFOFtoCNF_X2,addition(c(skolemFOFtoCNF_X2),X_335)) = addition(multiplication(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X2,X_335)),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_X2)),bind(B,$fot(c(skolemFOFtoCNF_X2))),bind(C,$fot(X_335))]]) ).
cnf(refute_0_96,plain,
( ~ complement(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2))
| multiplication(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)) = zero ),
inference(subst,[],[refute_0_71:[bind(X0,$fot(c(skolemFOFtoCNF_X2))),bind(X1,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_97,plain,
multiplication(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)) = zero,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)) )],[refute_0_66,refute_0_96]) ).
cnf(refute_0_98,plain,
( multiplication(skolemFOFtoCNF_X2,addition(c(skolemFOFtoCNF_X2),X_335)) != addition(multiplication(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X2,X_335))
| multiplication(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)) != zero
| multiplication(skolemFOFtoCNF_X2,addition(c(skolemFOFtoCNF_X2),X_335)) = addition(zero,multiplication(skolemFOFtoCNF_X2,X_335)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X2,addition(c(skolemFOFtoCNF_X2),X_335)),addition(multiplication(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X2,X_335))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_99,plain,
( multiplication(skolemFOFtoCNF_X2,addition(c(skolemFOFtoCNF_X2),X_335)) != addition(multiplication(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X2,X_335))
| multiplication(skolemFOFtoCNF_X2,addition(c(skolemFOFtoCNF_X2),X_335)) = addition(zero,multiplication(skolemFOFtoCNF_X2,X_335)) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)),zero) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
multiplication(skolemFOFtoCNF_X2,addition(c(skolemFOFtoCNF_X2),X_335)) = addition(zero,multiplication(skolemFOFtoCNF_X2,X_335)),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X2,addition(c(skolemFOFtoCNF_X2),X_335)),addition(multiplication(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X2,X_335))) )],[refute_0_95,refute_0_99]) ).
cnf(refute_0_101,plain,
addition(zero,multiplication(skolemFOFtoCNF_X2,X_335)) = multiplication(skolemFOFtoCNF_X2,X_335),
inference(subst,[],[refute_0_26:[bind(A,$fot(multiplication(skolemFOFtoCNF_X2,X_335)))]]) ).
cnf(refute_0_102,plain,
( addition(zero,multiplication(skolemFOFtoCNF_X2,X_335)) != multiplication(skolemFOFtoCNF_X2,X_335)
| multiplication(skolemFOFtoCNF_X2,addition(c(skolemFOFtoCNF_X2),X_335)) != addition(zero,multiplication(skolemFOFtoCNF_X2,X_335))
| multiplication(skolemFOFtoCNF_X2,addition(c(skolemFOFtoCNF_X2),X_335)) = multiplication(skolemFOFtoCNF_X2,X_335) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X2,addition(c(skolemFOFtoCNF_X2),X_335)),addition(zero,multiplication(skolemFOFtoCNF_X2,X_335))) ),[1],$fot(multiplication(skolemFOFtoCNF_X2,X_335))]]) ).
cnf(refute_0_103,plain,
( multiplication(skolemFOFtoCNF_X2,addition(c(skolemFOFtoCNF_X2),X_335)) != addition(zero,multiplication(skolemFOFtoCNF_X2,X_335))
| multiplication(skolemFOFtoCNF_X2,addition(c(skolemFOFtoCNF_X2),X_335)) = multiplication(skolemFOFtoCNF_X2,X_335) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(skolemFOFtoCNF_X2,X_335)),multiplication(skolemFOFtoCNF_X2,X_335)) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
multiplication(skolemFOFtoCNF_X2,addition(c(skolemFOFtoCNF_X2),X_335)) = multiplication(skolemFOFtoCNF_X2,X_335),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X2,addition(c(skolemFOFtoCNF_X2),X_335)),addition(zero,multiplication(skolemFOFtoCNF_X2,X_335))) )],[refute_0_100,refute_0_103]) ).
cnf(refute_0_105,plain,
multiplication(skolemFOFtoCNF_X2,addition(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2)))) = multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_104:[bind(X_335,$fot(c(c(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_106,plain,
( ~ complement(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2)))
| addition(c(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)) = one ),
inference(subst,[],[refute_0_48:[bind(X0,$fot(c(c(skolemFOFtoCNF_X2)))),bind(X1,$fot(c(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_107,plain,
addition(c(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)) = one,
inference(resolve,[$cnf( complement(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))) )],[refute_0_70,refute_0_106]) ).
cnf(refute_0_108,plain,
addition(c(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)) = addition(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_52:[bind(A,$fot(c(skolemFOFtoCNF_X2))),bind(B,$fot(c(c(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_109,plain,
( addition(c(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)) != addition(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2)))
| addition(c(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)) != one
| addition(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)),one) ),[0],$fot(addition(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_110,plain,
( addition(c(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)) != one
| addition(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))) = one ),
inference(resolve,[$cnf( $equal(addition(c(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)),addition(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2)))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
addition(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))) = one,
inference(resolve,[$cnf( $equal(addition(c(c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)),one) )],[refute_0_107,refute_0_110]) ).
cnf(refute_0_112,plain,
( addition(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))) != one
| multiplication(skolemFOFtoCNF_X2,addition(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2)))) != multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2)))
| multiplication(skolemFOFtoCNF_X2,one) = multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X2,addition(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2)))),multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_113,plain,
( multiplication(skolemFOFtoCNF_X2,addition(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2)))) != multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2)))
| multiplication(skolemFOFtoCNF_X2,one) = multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2))) ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2))),one) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
multiplication(skolemFOFtoCNF_X2,one) = multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2))),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X2,addition(c(skolemFOFtoCNF_X2),c(c(skolemFOFtoCNF_X2)))),multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2)))) )],[refute_0_105,refute_0_113]) ).
cnf(refute_0_115,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_116,plain,
multiplication(skolemFOFtoCNF_X2,one) = skolemFOFtoCNF_X2,
inference(subst,[],[refute_0_115:[bind(A,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_117,plain,
( multiplication(skolemFOFtoCNF_X2,one) != multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2)))
| multiplication(skolemFOFtoCNF_X2,one) != skolemFOFtoCNF_X2
| skolemFOFtoCNF_X2 = multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X2,one),multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2)))) ),[0],$fot(skolemFOFtoCNF_X2)]]) ).
cnf(refute_0_118,plain,
( multiplication(skolemFOFtoCNF_X2,one) != multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2)))
| skolemFOFtoCNF_X2 = multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2))) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X2,one),skolemFOFtoCNF_X2) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
skolemFOFtoCNF_X2 = multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2))),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X2,one),multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2)))) )],[refute_0_114,refute_0_118]) ).
cnf(refute_0_120,plain,
( skolemFOFtoCNF_X2 != multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2)))
| multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2))) = skolemFOFtoCNF_X2 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_X2)),bind(Y,$fot(multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2)))))]]) ).
cnf(refute_0_121,plain,
multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2))) = skolemFOFtoCNF_X2,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2)))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
( c(c(skolemFOFtoCNF_X2)) != multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2)))
| multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2))) != skolemFOFtoCNF_X2
| c(c(skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(c(c(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X2) ),[0],$fot(multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_123,plain,
( c(c(skolemFOFtoCNF_X2)) != multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2)))
| c(c(skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X2 ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2))),skolemFOFtoCNF_X2) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
( multiplication(one,c(c(skolemFOFtoCNF_X2))) != multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2)))
| c(c(skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X2 ),
inference(resolve,[$cnf( $equal(c(c(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2)))) )],[refute_0_94,refute_0_123]) ).
cnf(refute_0_125,plain,
c(c(skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X2,
inference(resolve,[$cnf( $equal(multiplication(one,c(c(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X2,c(c(skolemFOFtoCNF_X2)))) )],[refute_0_90,refute_0_124]) ).
cnf(refute_0_126,plain,
( c(c(skolemFOFtoCNF_X2)) != skolemFOFtoCNF_X2
| c(c(skolemFOFtoCNF_X2)) != zero
| skolemFOFtoCNF_X2 = zero ),
introduced(tautology,[equality,[$cnf( $equal(c(c(skolemFOFtoCNF_X2)),zero) ),[0],$fot(skolemFOFtoCNF_X2)]]) ).
cnf(refute_0_127,plain,
( c(c(skolemFOFtoCNF_X2)) != zero
| skolemFOFtoCNF_X2 = zero ),
inference(resolve,[$cnf( $equal(c(c(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X2) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,one)) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))))
| skolemFOFtoCNF_X2 = zero ),
inference(resolve,[$cnf( $equal(c(c(skolemFOFtoCNF_X2)),zero) )],[refute_0_60,refute_0_127]) ).
cnf(refute_0_129,plain,
multiplication(skolemFOFtoCNF_X0,one) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_115:[bind(A,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_130,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,one)) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,one)),
introduced(tautology,[refl,[$fot(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,one)))]]) ).
cnf(refute_0_131,plain,
( multiplication(skolemFOFtoCNF_X0,one) != skolemFOFtoCNF_X0
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,one)) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,one))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,one)) = multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,one)),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,one))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_132,plain,
( multiplication(skolemFOFtoCNF_X0,one) != skolemFOFtoCNF_X0
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,one)) = multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,one)),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,one))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,one)) = multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,one),skolemFOFtoCNF_X0) )],[refute_0_129,refute_0_132]) ).
cnf(refute_0_134,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,one)) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,one)) != multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,one)),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))))) ),[0],$fot(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_135,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,one)) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))))
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2)))) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,one)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))) = multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))),
introduced(tautology,[refl,[$fot(multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_137,plain,
( c(c(skolemFOFtoCNF_X2)) != skolemFOFtoCNF_X2
| multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))) != multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2)))
| multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))) = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2)))) ),[1,1],$fot(skolemFOFtoCNF_X2)]]) ).
cnf(refute_0_138,plain,
( c(c(skolemFOFtoCNF_X2)) != skolemFOFtoCNF_X2
| multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))) = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2)))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))) = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(c(c(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X2) )],[refute_0_125,refute_0_138]) ).
cnf(refute_0_140,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2)))) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2)))),
introduced(tautology,[refl,[$fot(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2)))))]]) ).
cnf(refute_0_141,plain,
( multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))) != multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2)))) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2)))) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2)))),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))))) ),[1,1],$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_142,plain,
( multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))) != multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2)))) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2)))),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2)))) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) )],[refute_0_139,refute_0_142]) ).
cnf(refute_0_144,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2)))) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))))
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))))) ),[1],$fot(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_145,plain,
( multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))))
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2)))),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,one)) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))))
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))))) )],[refute_0_135,refute_0_145]) ).
cnf(refute_0_147,plain,
( multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| skolemFOFtoCNF_X2 = zero ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,one)),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(c(skolemFOFtoCNF_X2))))) )],[refute_0_128,refute_0_146]) ).
cnf(refute_0_148,plain,
skolemFOFtoCNF_X2 = zero,
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_147,refute_0_10]) ).
cnf(refute_0_149,plain,
( skolemFOFtoCNF_X2 != zero
| zero = skolemFOFtoCNF_X2 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_X2)),bind(Y,$fot(zero))]]) ).
cnf(refute_0_150,plain,
zero = skolemFOFtoCNF_X2,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X2,zero) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))) != zero
| zero != skolemFOFtoCNF_X2
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))) = skolemFOFtoCNF_X2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))),skolemFOFtoCNF_X2) ),[0],$fot(zero)]]) ).
cnf(refute_0_152,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))) != zero
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))) = skolemFOFtoCNF_X2 ),
inference(resolve,[$cnf( $equal(zero,skolemFOFtoCNF_X2) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))) = skolemFOFtoCNF_X2,
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))),zero) )],[refute_0_15,refute_0_152]) ).
cnf(refute_0_154,plain,
addition(zero,A) = addition(zero,A),
introduced(tautology,[refl,[$fot(addition(zero,A))]]) ).
cnf(refute_0_155,plain,
( addition(zero,A) != addition(zero,A)
| zero != skolemFOFtoCNF_X2
| addition(zero,A) = addition(skolemFOFtoCNF_X2,A) ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,A),addition(zero,A)) ),[1,0],$fot(skolemFOFtoCNF_X2)]]) ).
cnf(refute_0_156,plain,
( zero != skolemFOFtoCNF_X2
| addition(zero,A) = addition(skolemFOFtoCNF_X2,A) ),
inference(resolve,[$cnf( $equal(addition(zero,A),addition(zero,A)) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
addition(zero,A) = addition(skolemFOFtoCNF_X2,A),
inference(resolve,[$cnf( $equal(zero,skolemFOFtoCNF_X2) )],[refute_0_150,refute_0_156]) ).
cnf(refute_0_158,plain,
( addition(zero,A) != A
| addition(zero,A) != addition(skolemFOFtoCNF_X2,A)
| addition(skolemFOFtoCNF_X2,A) = A ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,A),A) ),[0],$fot(addition(skolemFOFtoCNF_X2,A))]]) ).
cnf(refute_0_159,plain,
( addition(zero,A) != A
| addition(skolemFOFtoCNF_X2,A) = A ),
inference(resolve,[$cnf( $equal(addition(zero,A),addition(skolemFOFtoCNF_X2,A)) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
addition(skolemFOFtoCNF_X2,A) = A,
inference(resolve,[$cnf( $equal(addition(zero,A),A) )],[refute_0_26,refute_0_159]) ).
cnf(refute_0_161,plain,
addition(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)) = c(skolemFOFtoCNF_X2),
inference(subst,[],[refute_0_160:[bind(A,$fot(c(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_162,plain,
( addition(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)) != c(skolemFOFtoCNF_X2)
| addition(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)) != one
| c(skolemFOFtoCNF_X2) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)),one) ),[0],$fot(c(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_163,plain,
( addition(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)) != one
| c(skolemFOFtoCNF_X2) = one ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)),c(skolemFOFtoCNF_X2)) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
c(skolemFOFtoCNF_X2) = one,
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,c(skolemFOFtoCNF_X2)),one) )],[refute_0_87,refute_0_163]) ).
cnf(refute_0_165,plain,
multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),
introduced(tautology,[refl,[$fot(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_166,plain,
( c(skolemFOFtoCNF_X2) != one
| multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)) != multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))
| multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X0,one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_167,plain,
( c(skolemFOFtoCNF_X2) != one
| multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X0,one) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X0,one),
inference(resolve,[$cnf( $equal(c(skolemFOFtoCNF_X2),one) )],[refute_0_164,refute_0_167]) ).
cnf(refute_0_169,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_170,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_169]) ).
cnf(refute_0_171,plain,
( multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)) != multiplication(skolemFOFtoCNF_X0,one)
| multiplication(skolemFOFtoCNF_X0,one) != skolemFOFtoCNF_X0
| multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_170:[bind(X,$fot(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)))),bind(Y,$fot(multiplication(skolemFOFtoCNF_X0,one))),bind(Z,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_172,plain,
( multiplication(skolemFOFtoCNF_X0,one) != skolemFOFtoCNF_X0
| multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,one)) )],[refute_0_168,refute_0_171]) ).
cnf(refute_0_173,plain,
multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,one),skolemFOFtoCNF_X0) )],[refute_0_129,refute_0_172]) ).
cnf(refute_0_174,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))),
introduced(tautology,[refl,[$fot(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_175,plain,
( multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)) != skolemFOFtoCNF_X0
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))) = multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_176,plain,
( multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)) != skolemFOFtoCNF_X0
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))) = multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)))) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))) = multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0) )],[refute_0_173,refute_0_176]) ).
cnf(refute_0_178,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))) != multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))) != skolemFOFtoCNF_X2
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X2 ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))),skolemFOFtoCNF_X2) ),[0],$fot(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_179,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))) != skolemFOFtoCNF_X2
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X2 ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X2,
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))),skolemFOFtoCNF_X2) )],[refute_0_153,refute_0_179]) ).
cnf(refute_0_181,plain,
( multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X2
| skolemFOFtoCNF_X2 != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),[0],$fot(skolemFOFtoCNF_X2)]]) ).
cnf(refute_0_182,plain,
( skolemFOFtoCNF_X2 != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)) = multiplication(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))),X_35),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_X1_1)),bind(B,$fot(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)))),bind(C,$fot(X_35))]]) ).
cnf(refute_0_184,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)) != multiplication(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))),X_35)
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))) != zero
| multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)) = multiplication(zero,X_35) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)),multiplication(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))),X_35)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_185,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)) != multiplication(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))),X_35)
| multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)) = multiplication(zero,X_35) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))),zero) )],[refute_0_15,refute_0_184]) ).
cnf(refute_0_186,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)) = multiplication(zero,X_35),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)),multiplication(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2))),X_35)) )],[refute_0_183,refute_0_185]) ).
cnf(refute_0_187,plain,
multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35) = multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35)),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(c(skolemFOFtoCNF_X2))),bind(C,$fot(X_35))]]) ).
cnf(refute_0_188,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)) = multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)),
introduced(tautology,[refl,[$fot(multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)))]]) ).
cnf(refute_0_189,plain,
( multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35) != multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)) != multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)),multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35))) ),[1,1],$fot(multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35)))]]) ).
cnf(refute_0_190,plain,
( multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35) != multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)),multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35))) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))),
inference(resolve,[$cnf( $equal(multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35),multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) )],[refute_0_187,refute_0_190]) ).
cnf(refute_0_192,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35)))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)) != multiplication(zero,X_35)
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) = multiplication(zero,X_35) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)),multiplication(zero,X_35)) ),[0],$fot(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))))]]) ).
cnf(refute_0_193,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)) != multiplication(zero,X_35)
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) = multiplication(zero,X_35) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35)))) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
multiplication(zero,A) = zero,
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_195,plain,
multiplication(zero,X_35) = zero,
inference(subst,[],[refute_0_194:[bind(A,$fot(X_35))]]) ).
cnf(refute_0_196,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) != multiplication(zero,X_35)
| multiplication(zero,X_35) != zero
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))),zero) ),[0],$fot(multiplication(zero,X_35))]]) ).
cnf(refute_0_197,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) != multiplication(zero,X_35)
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(zero,X_35),zero) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)) != multiplication(zero,X_35)
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))),multiplication(zero,X_35)) )],[refute_0_193,refute_0_197]) ).
cnf(refute_0_199,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) = zero,
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X2)),X_35)),multiplication(zero,X_35)) )],[refute_0_186,refute_0_198]) ).
cnf(refute_0_200,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) != zero
| zero != skolemFOFtoCNF_X2
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) = skolemFOFtoCNF_X2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))),skolemFOFtoCNF_X2) ),[0],$fot(zero)]]) ).
cnf(refute_0_201,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) != zero
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) = skolemFOFtoCNF_X2 ),
inference(resolve,[$cnf( $equal(zero,skolemFOFtoCNF_X2) )],[refute_0_150,refute_0_200]) ).
cnf(refute_0_202,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) = skolemFOFtoCNF_X2,
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))),zero) )],[refute_0_199,refute_0_201]) ).
cnf(refute_0_203,plain,
multiplication(one,X_35) = X_35,
inference(subst,[],[refute_0_91:[bind(A,$fot(X_35))]]) ).
cnf(refute_0_204,plain,
multiplication(c(skolemFOFtoCNF_X2),X_35) = multiplication(c(skolemFOFtoCNF_X2),X_35),
introduced(tautology,[refl,[$fot(multiplication(c(skolemFOFtoCNF_X2),X_35))]]) ).
cnf(refute_0_205,plain,
( c(skolemFOFtoCNF_X2) != one
| multiplication(c(skolemFOFtoCNF_X2),X_35) != multiplication(c(skolemFOFtoCNF_X2),X_35)
| multiplication(c(skolemFOFtoCNF_X2),X_35) = multiplication(one,X_35) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X2),X_35),multiplication(c(skolemFOFtoCNF_X2),X_35)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_206,plain,
( c(skolemFOFtoCNF_X2) != one
| multiplication(c(skolemFOFtoCNF_X2),X_35) = multiplication(one,X_35) ),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X2),X_35),multiplication(c(skolemFOFtoCNF_X2),X_35)) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
multiplication(c(skolemFOFtoCNF_X2),X_35) = multiplication(one,X_35),
inference(resolve,[$cnf( $equal(c(skolemFOFtoCNF_X2),one) )],[refute_0_164,refute_0_206]) ).
cnf(refute_0_208,plain,
( multiplication(c(skolemFOFtoCNF_X2),X_35) != multiplication(one,X_35)
| multiplication(one,X_35) != X_35
| multiplication(c(skolemFOFtoCNF_X2),X_35) = X_35 ),
inference(subst,[],[refute_0_170:[bind(X,$fot(multiplication(c(skolemFOFtoCNF_X2),X_35))),bind(Y,$fot(multiplication(one,X_35))),bind(Z,$fot(X_35))]]) ).
cnf(refute_0_209,plain,
( multiplication(one,X_35) != X_35
| multiplication(c(skolemFOFtoCNF_X2),X_35) = X_35 ),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X2),X_35),multiplication(one,X_35)) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
multiplication(c(skolemFOFtoCNF_X2),X_35) = X_35,
inference(resolve,[$cnf( $equal(multiplication(one,X_35),X_35) )],[refute_0_203,refute_0_209]) ).
cnf(refute_0_211,plain,
multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35)) = multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35)),
introduced(tautology,[refl,[$fot(multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35)))]]) ).
cnf(refute_0_212,plain,
( multiplication(c(skolemFOFtoCNF_X2),X_35) != X_35
| multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35)) != multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))
| multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35)) = multiplication(skolemFOFtoCNF_X0,X_35) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35)),multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) ),[1,1],$fot(X_35)]]) ).
cnf(refute_0_213,plain,
( multiplication(c(skolemFOFtoCNF_X2),X_35) != X_35
| multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35)) = multiplication(skolemFOFtoCNF_X0,X_35) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35)),multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35)) = multiplication(skolemFOFtoCNF_X0,X_35),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X2),X_35),X_35) )],[refute_0_210,refute_0_213]) ).
cnf(refute_0_215,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))),
introduced(tautology,[refl,[$fot(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))))]]) ).
cnf(refute_0_216,plain,
( multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35)) != multiplication(skolemFOFtoCNF_X0,X_35)
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35)))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35)))) ),[1,1],$fot(multiplication(skolemFOFtoCNF_X0,X_35))]]) ).
cnf(refute_0_217,plain,
( multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35)) != multiplication(skolemFOFtoCNF_X0,X_35)
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,X_35)) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35)))) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,X_35)),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35)),multiplication(skolemFOFtoCNF_X0,X_35)) )],[refute_0_214,refute_0_217]) ).
cnf(refute_0_219,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,X_35))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) != skolemFOFtoCNF_X2
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,X_35)) = skolemFOFtoCNF_X2 ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))),skolemFOFtoCNF_X2) ),[0],$fot(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,X_35)))]]) ).
cnf(refute_0_220,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))) != skolemFOFtoCNF_X2
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,X_35)) = skolemFOFtoCNF_X2 ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,X_35))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,X_35)) = skolemFOFtoCNF_X2,
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X2),X_35))),skolemFOFtoCNF_X2) )],[refute_0_202,refute_0_220]) ).
cnf(refute_0_222,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X2,
inference(subst,[],[refute_0_221:[bind(X_35,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_223,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != skolemFOFtoCNF_X2
| skolemFOFtoCNF_X2 != skolemFOFtoCNF_X2
| skolemFOFtoCNF_X2 = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),[1],$fot(skolemFOFtoCNF_X2)]]) ).
cnf(refute_0_224,plain,
( skolemFOFtoCNF_X2 != skolemFOFtoCNF_X2
| skolemFOFtoCNF_X2 = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),skolemFOFtoCNF_X2) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
( skolemFOFtoCNF_X2 != skolemFOFtoCNF_X2
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_224,refute_0_182]) ).
cnf(refute_0_226,plain,
skolemFOFtoCNF_X2 != skolemFOFtoCNF_X2,
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_225,refute_0_10]) ).
cnf(refute_0_227,plain,
skolemFOFtoCNF_X2 = skolemFOFtoCNF_X2,
introduced(tautology,[refl,[$fot(skolemFOFtoCNF_X2)]]) ).
cnf(refute_0_228,plain,
$false,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X2,skolemFOFtoCNF_X2) )],[refute_0_227,refute_0_226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : KLE025+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 16 09:46:54 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 34.35/34.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.35/34.53
% 34.35/34.53 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 34.35/34.55
%------------------------------------------------------------------------------