TSTP Solution File: KLE015+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE015+1 : 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 02:14:38 EDT 2022
% Result : Theorem 7.51s 7.69s
% Output : CNFRefutation 7.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 84
% Syntax : Number of formulae : 412 ( 206 unt; 0 def)
% Number of atoms : 717 ( 594 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 603 ( 298 ~; 274 |; 15 &)
% ( 12 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 336 ( 8 sgn 109 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [A,B] : addition(A,B) = addition(B,A) ).
fof(additive_associativity,axiom,
! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) ).
fof(additive_identity,axiom,
! [A] : addition(A,zero) = A ).
fof(additive_idempotence,axiom,
! [A] : addition(A,A) = 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(order,axiom,
! [A,B] :
( leq(A,B)
<=> addition(A,B) = B ) ).
fof(test_1,axiom,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ) ).
fof(test_2,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ) ).
fof(test_3,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ) ).
fof(goals,conjecture,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> multiplication(multiplication(addition(X0,X1),c(X0)),c(X1)) = zero ) ).
fof(subgoal_0,plain,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> multiplication(multiplication(addition(X0,X1),c(X0)),c(X1)) = zero ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1] :
( ( test(X1)
& test(X0) )
=> multiplication(multiplication(addition(X0,X1),c(X0)),c(X1)) = zero ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_0_1,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
? [X0,X1] :
( multiplication(multiplication(addition(X0,X1),c(X0)),c(X1)) != zero
& test(X0)
& test(X1) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_3,plain,
( multiplication(multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X0)),c(skolemFOFtoCNF_X1_1)) != zero
& test(skolemFOFtoCNF_X0)
& test(skolemFOFtoCNF_X1_1) ),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
test(skolemFOFtoCNF_X1_1),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X0] :
( ~ test(X0)
<=> ! [X1] : ~ complement(X1,X0) ),
inference(canonicalize,[],[test_1]) ).
fof(normalize_0_6,plain,
! [X0] :
( ~ test(X0)
<=> ! [X1] : ~ complement(X1,X0) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X0,X1] :
( ( ~ complement(X1,X0)
| test(X0) )
& ( ~ test(X0)
| complement(skolemFOFtoCNF_X1(X0),X0) ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X0] :
( ~ test(X0)
| complement(skolemFOFtoCNF_X1(X0),X0) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,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_10,plain,
! [X0,X1] :
( ~ complement(X1,X0)
<=> ( addition(X0,X1) != one
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero ) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,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_10]) ).
fof(normalize_0_12,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| multiplication(X0,X1) = zero ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A] : addition(A,zero) = A,
inference(canonicalize,[],[additive_identity]) ).
fof(normalize_0_14,plain,
! [A] : addition(A,zero) = A,
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_16,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_18,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_20,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[additive_associativity]) ).
fof(normalize_0_22,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[additive_idempotence]) ).
fof(normalize_0_24,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [X0] :
( ~ test(X0)
| ! [X1] :
( c(X0) != X1
<=> ~ complement(X0,X1) ) ),
inference(canonicalize,[],[test_3]) ).
fof(normalize_0_26,plain,
! [X0] :
( ~ test(X0)
| ! [X1] :
( c(X0) != X1
<=> ~ complement(X0,X1) ) ),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [X0,X1] :
( ( c(X0) != X1
| ~ test(X0)
| complement(X0,X1) )
& ( ~ complement(X0,X1)
| ~ test(X0)
| c(X0) = X1 ) ),
inference(clausify,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [X0,X1] :
( c(X0) != X1
| ~ test(X0)
| complement(X0,X1) ),
inference(conjunct,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
test(skolemFOFtoCNF_X0),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_30,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| test(X0) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_31,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_32,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| multiplication(X1,X0) = zero ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_33,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_34,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(canonicalize,[],[order]) ).
fof(normalize_0_36,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(specialize,[],[normalize_0_35]) ).
fof(normalize_0_37,plain,
! [A,B] :
( ( addition(A,B) != B
| leq(A,B) )
& ( ~ leq(A,B)
| addition(A,B) = B ) ),
inference(clausify,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
! [A,B] :
( ~ leq(A,B)
| addition(A,B) = B ),
inference(conjunct,[],[normalize_0_37]) ).
fof(normalize_0_39,plain,
! [A,B] :
( addition(A,B) != B
| leq(A,B) ),
inference(conjunct,[],[normalize_0_37]) ).
fof(normalize_0_40,plain,
multiplication(multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X0)),c(skolemFOFtoCNF_X1_1)) != zero,
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_41,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[multiplicative_associativity]) ).
fof(normalize_0_42,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(specialize,[],[normalize_0_41]) ).
fof(normalize_0_43,plain,
! [A] : multiplication(zero,A) = zero,
inference(canonicalize,[],[left_annihilation]) ).
fof(normalize_0_44,plain,
! [A] : multiplication(zero,A) = zero,
inference(specialize,[],[normalize_0_43]) ).
cnf(refute_0_0,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
multiplication(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X1_1,C)),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_X1_1)),bind(B,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_2,plain,
test(skolemFOFtoCNF_X1_1),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
( ~ test(X0)
| complement(skolemFOFtoCNF_X1(X0),X0) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_4,plain,
( ~ test(skolemFOFtoCNF_X1_1)
| complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_5,plain,
complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),
inference(resolve,[$cnf( test(skolemFOFtoCNF_X1_1) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ complement(X1,X0)
| multiplication(X0,X1) = zero ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_7,plain,
( ~ complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1)
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = zero ),
inference(subst,[],[refute_0_6:[bind(X0,$fot(skolemFOFtoCNF_X1_1)),bind(X1,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_8,plain,
multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = zero,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) )],[refute_0_5,refute_0_7]) ).
cnf(refute_0_9,plain,
( multiplication(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X1_1,C))
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != zero
| multiplication(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)) = addition(zero,multiplication(skolemFOFtoCNF_X1_1,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X1_1,C))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_10,plain,
( multiplication(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X1_1,C))
| multiplication(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)) = addition(zero,multiplication(skolemFOFtoCNF_X1_1,C)) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),zero) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
multiplication(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)) = addition(zero,multiplication(skolemFOFtoCNF_X1_1,C)),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X1_1,C))) )],[refute_0_1,refute_0_10]) ).
cnf(refute_0_12,plain,
addition(A,zero) = A,
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_13,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_14,plain,
addition(A,zero) = addition(zero,A),
inference(subst,[],[refute_0_13:[bind(B,$fot(zero))]]) ).
cnf(refute_0_15,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_16,plain,
( addition(A,zero) != A
| addition(zero,A) = A ),
inference(resolve,[$cnf( $equal(addition(A,zero),addition(zero,A)) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
addition(zero,A) = A,
inference(resolve,[$cnf( $equal(addition(A,zero),A) )],[refute_0_12,refute_0_16]) ).
cnf(refute_0_18,plain,
addition(zero,multiplication(skolemFOFtoCNF_X1_1,C)) = multiplication(skolemFOFtoCNF_X1_1,C),
inference(subst,[],[refute_0_17:[bind(A,$fot(multiplication(skolemFOFtoCNF_X1_1,C)))]]) ).
cnf(refute_0_19,plain,
( addition(zero,multiplication(skolemFOFtoCNF_X1_1,C)) != multiplication(skolemFOFtoCNF_X1_1,C)
| multiplication(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)) != addition(zero,multiplication(skolemFOFtoCNF_X1_1,C))
| multiplication(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)) = multiplication(skolemFOFtoCNF_X1_1,C) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)),addition(zero,multiplication(skolemFOFtoCNF_X1_1,C))) ),[1],$fot(multiplication(skolemFOFtoCNF_X1_1,C))]]) ).
cnf(refute_0_20,plain,
( multiplication(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)) != addition(zero,multiplication(skolemFOFtoCNF_X1_1,C))
| multiplication(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)) = multiplication(skolemFOFtoCNF_X1_1,C) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(skolemFOFtoCNF_X1_1,C)),multiplication(skolemFOFtoCNF_X1_1,C)) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
multiplication(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)) = multiplication(skolemFOFtoCNF_X1_1,C),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)),addition(zero,multiplication(skolemFOFtoCNF_X1_1,C))) )],[refute_0_11,refute_0_20]) ).
cnf(refute_0_22,plain,
multiplication(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))) = multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),
inference(subst,[],[refute_0_21:[bind(C,$fot(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_23,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_24,plain,
multiplication(addition(one,X_39),X_40) = addition(multiplication(one,X_40),multiplication(X_39,X_40)),
inference(subst,[],[refute_0_23:[bind(A,$fot(one)),bind(B,$fot(X_39)),bind(C,$fot(X_40))]]) ).
cnf(refute_0_25,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_26,plain,
multiplication(one,X_40) = X_40,
inference(subst,[],[refute_0_25:[bind(A,$fot(X_40))]]) ).
cnf(refute_0_27,plain,
( multiplication(addition(one,X_39),X_40) != addition(multiplication(one,X_40),multiplication(X_39,X_40))
| multiplication(one,X_40) != X_40
| multiplication(addition(one,X_39),X_40) = addition(X_40,multiplication(X_39,X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_39),X_40),addition(multiplication(one,X_40),multiplication(X_39,X_40))) ),[1,0],$fot(X_40)]]) ).
cnf(refute_0_28,plain,
( multiplication(addition(one,X_39),X_40) != addition(multiplication(one,X_40),multiplication(X_39,X_40))
| multiplication(addition(one,X_39),X_40) = addition(X_40,multiplication(X_39,X_40)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_40),X_40) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
multiplication(addition(one,X_39),X_40) = addition(X_40,multiplication(X_39,X_40)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_39),X_40),addition(multiplication(one,X_40),multiplication(X_39,X_40))) )],[refute_0_24,refute_0_28]) ).
cnf(refute_0_30,plain,
multiplication(addition(one,c(skolemFOFtoCNF_X0)),X_40) = addition(X_40,multiplication(c(skolemFOFtoCNF_X0),X_40)),
inference(subst,[],[refute_0_29:[bind(X_39,$fot(c(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_31,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_32,plain,
addition(X_15,addition(X_15,X_16)) = addition(addition(X_15,X_15),X_16),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_15)),bind(B,$fot(X_15)),bind(C,$fot(X_16))]]) ).
cnf(refute_0_33,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_34,plain,
addition(X_15,X_15) = X_15,
inference(subst,[],[refute_0_33:[bind(A,$fot(X_15))]]) ).
cnf(refute_0_35,plain,
( addition(X_15,X_15) != X_15
| addition(X_15,addition(X_15,X_16)) != addition(addition(X_15,X_15),X_16)
| addition(X_15,addition(X_15,X_16)) = addition(X_15,X_16) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_15,addition(X_15,X_16)),addition(addition(X_15,X_15),X_16)) ),[1,0],$fot(X_15)]]) ).
cnf(refute_0_36,plain,
( addition(X_15,addition(X_15,X_16)) != addition(addition(X_15,X_15),X_16)
| addition(X_15,addition(X_15,X_16)) = addition(X_15,X_16) ),
inference(resolve,[$cnf( $equal(addition(X_15,X_15),X_15) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
addition(X_15,addition(X_15,X_16)) = addition(X_15,X_16),
inference(resolve,[$cnf( $equal(addition(X_15,addition(X_15,X_16)),addition(addition(X_15,X_15),X_16)) )],[refute_0_32,refute_0_36]) ).
cnf(refute_0_38,plain,
addition(c(skolemFOFtoCNF_X0),addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))) = addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_37:[bind(X_15,$fot(c(skolemFOFtoCNF_X0))),bind(X_16,$fot(c(c(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_39,plain,
( c(X0) != X1
| ~ test(X0)
| complement(X0,X1) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_40,plain,
( c(X0) != c(X0)
| ~ test(X0)
| complement(X0,c(X0)) ),
inference(subst,[],[refute_0_39:[bind(X1,$fot(c(X0)))]]) ).
cnf(refute_0_41,plain,
c(X0) = c(X0),
introduced(tautology,[refl,[$fot(c(X0))]]) ).
cnf(refute_0_42,plain,
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(resolve,[$cnf( $equal(c(X0),c(X0)) )],[refute_0_41,refute_0_40]) ).
cnf(refute_0_43,plain,
( ~ test(c(skolemFOFtoCNF_X0))
| complement(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(c(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_44,plain,
test(skolemFOFtoCNF_X0),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_45,plain,
( ~ test(skolemFOFtoCNF_X0)
| complement(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_46,plain,
complement(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( test(skolemFOFtoCNF_X0) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
( ~ complement(X1,X0)
| test(X0) ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_48,plain,
( ~ complement(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))
| test(c(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_47:[bind(X0,$fot(c(skolemFOFtoCNF_X0))),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_49,plain,
test(c(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) )],[refute_0_46,refute_0_48]) ).
cnf(refute_0_50,plain,
complement(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( test(c(skolemFOFtoCNF_X0)) )],[refute_0_49,refute_0_43]) ).
cnf(refute_0_51,plain,
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_52,plain,
( ~ complement(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))
| addition(c(c(skolemFOFtoCNF_X0)),c(skolemFOFtoCNF_X0)) = one ),
inference(subst,[],[refute_0_51:[bind(X0,$fot(c(c(skolemFOFtoCNF_X0)))),bind(X1,$fot(c(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_53,plain,
addition(c(c(skolemFOFtoCNF_X0)),c(skolemFOFtoCNF_X0)) = one,
inference(resolve,[$cnf( complement(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0))) )],[refute_0_50,refute_0_52]) ).
cnf(refute_0_54,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_55,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_56,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_58,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_13,refute_0_57]) ).
cnf(refute_0_59,plain,
addition(c(c(skolemFOFtoCNF_X0)),c(skolemFOFtoCNF_X0)) = addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_58:[bind(A,$fot(c(skolemFOFtoCNF_X0))),bind(B,$fot(c(c(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_60,plain,
( addition(c(c(skolemFOFtoCNF_X0)),c(skolemFOFtoCNF_X0)) != addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))
| addition(c(c(skolemFOFtoCNF_X0)),c(skolemFOFtoCNF_X0)) != one
| addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(c(skolemFOFtoCNF_X0)),c(skolemFOFtoCNF_X0)),one) ),[0],$fot(addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_61,plain,
( addition(c(c(skolemFOFtoCNF_X0)),c(skolemFOFtoCNF_X0)) != one
| addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0))) = one ),
inference(resolve,[$cnf( $equal(addition(c(c(skolemFOFtoCNF_X0)),c(skolemFOFtoCNF_X0)),addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0))) = one,
inference(resolve,[$cnf( $equal(addition(c(c(skolemFOFtoCNF_X0)),c(skolemFOFtoCNF_X0)),one) )],[refute_0_53,refute_0_61]) ).
cnf(refute_0_63,plain,
( addition(c(skolemFOFtoCNF_X0),addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))) != addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))
| addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0))) != one
| addition(c(skolemFOFtoCNF_X0),addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(c(skolemFOFtoCNF_X0),addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))),one) ),[0],$fot(addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_64,plain,
( addition(c(skolemFOFtoCNF_X0),addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))) != addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))
| addition(c(skolemFOFtoCNF_X0),addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))) = one ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0))),one) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
addition(c(skolemFOFtoCNF_X0),addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))) = one,
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))),addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))) )],[refute_0_38,refute_0_64]) ).
cnf(refute_0_66,plain,
addition(c(skolemFOFtoCNF_X0),one) = addition(one,c(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_58:[bind(A,$fot(one)),bind(B,$fot(c(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_67,plain,
addition(X_14,addition(X_15,X_16)) = addition(addition(X_14,X_15),X_16),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_14)),bind(B,$fot(X_15)),bind(C,$fot(X_16))]]) ).
cnf(refute_0_68,plain,
addition(X_15,X_14) = addition(X_14,X_15),
inference(subst,[],[refute_0_13:[bind(A,$fot(X_15)),bind(B,$fot(X_14))]]) ).
cnf(refute_0_69,plain,
( addition(X_15,X_14) != addition(X_14,X_15)
| addition(X_14,X_15) = addition(X_15,X_14) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(addition(X_15,X_14))),bind(Y,$fot(addition(X_14,X_15)))]]) ).
cnf(refute_0_70,plain,
addition(X_14,X_15) = addition(X_15,X_14),
inference(resolve,[$cnf( $equal(addition(X_15,X_14),addition(X_14,X_15)) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
( addition(X_14,X_15) != addition(X_15,X_14)
| addition(X_14,addition(X_15,X_16)) != addition(addition(X_14,X_15),X_16)
| addition(X_14,addition(X_15,X_16)) = addition(addition(X_15,X_14),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_14,addition(X_15,X_16)),addition(addition(X_14,X_15),X_16)) ),[1,0],$fot(addition(X_15,X_14))]]) ).
cnf(refute_0_72,plain,
( addition(X_14,addition(X_15,X_16)) != addition(addition(X_14,X_15),X_16)
| addition(X_14,addition(X_15,X_16)) = addition(addition(X_15,X_14),X_16) ),
inference(resolve,[$cnf( $equal(addition(X_14,X_15),addition(X_15,X_14)) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
addition(X_14,addition(X_15,X_16)) = addition(addition(X_15,X_14),X_16),
inference(resolve,[$cnf( $equal(addition(X_14,addition(X_15,X_16)),addition(addition(X_14,X_15),X_16)) )],[refute_0_67,refute_0_72]) ).
cnf(refute_0_74,plain,
( addition(A,addition(B,C)) != addition(addition(A,B),C)
| addition(addition(A,B),C) = addition(A,addition(B,C)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(addition(A,addition(B,C)))),bind(Y,$fot(addition(addition(A,B),C)))]]) ).
cnf(refute_0_75,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,C)),addition(addition(A,B),C)) )],[refute_0_31,refute_0_74]) ).
cnf(refute_0_76,plain,
addition(addition(X_15,X_14),X_16) = addition(X_15,addition(X_14,X_16)),
inference(subst,[],[refute_0_75:[bind(A,$fot(X_15)),bind(B,$fot(X_14)),bind(C,$fot(X_16))]]) ).
cnf(refute_0_77,plain,
( addition(X_14,addition(X_15,X_16)) != addition(addition(X_15,X_14),X_16)
| addition(addition(X_15,X_14),X_16) != addition(X_15,addition(X_14,X_16))
| addition(X_14,addition(X_15,X_16)) = addition(X_15,addition(X_14,X_16)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_14,addition(X_15,X_16)),addition(X_15,addition(X_14,X_16))) ),[0],$fot(addition(addition(X_15,X_14),X_16))]]) ).
cnf(refute_0_78,plain,
( addition(X_14,addition(X_15,X_16)) != addition(addition(X_15,X_14),X_16)
| addition(X_14,addition(X_15,X_16)) = addition(X_15,addition(X_14,X_16)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_15,X_14),X_16),addition(X_15,addition(X_14,X_16))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
addition(X_14,addition(X_15,X_16)) = addition(X_15,addition(X_14,X_16)),
inference(resolve,[$cnf( $equal(addition(X_14,addition(X_15,X_16)),addition(addition(X_15,X_14),X_16)) )],[refute_0_73,refute_0_78]) ).
cnf(refute_0_80,plain,
addition(c(skolemFOFtoCNF_X0),addition(X_15,c(c(skolemFOFtoCNF_X0)))) = addition(X_15,addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_79:[bind(X_14,$fot(c(skolemFOFtoCNF_X0))),bind(X_16,$fot(c(c(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_81,plain,
( addition(c(skolemFOFtoCNF_X0),addition(X_15,c(c(skolemFOFtoCNF_X0)))) != addition(X_15,addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0))))
| addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0))) != one
| addition(c(skolemFOFtoCNF_X0),addition(X_15,c(c(skolemFOFtoCNF_X0)))) = addition(X_15,one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),addition(X_15,c(c(skolemFOFtoCNF_X0)))),addition(X_15,addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_82,plain,
( addition(c(skolemFOFtoCNF_X0),addition(X_15,c(c(skolemFOFtoCNF_X0)))) != addition(X_15,addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0))))
| addition(c(skolemFOFtoCNF_X0),addition(X_15,c(c(skolemFOFtoCNF_X0)))) = addition(X_15,one) ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0))),one) )],[refute_0_62,refute_0_81]) ).
cnf(refute_0_83,plain,
addition(c(skolemFOFtoCNF_X0),addition(X_15,c(c(skolemFOFtoCNF_X0)))) = addition(X_15,one),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),addition(X_15,c(c(skolemFOFtoCNF_X0)))),addition(X_15,addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0))))) )],[refute_0_80,refute_0_82]) ).
cnf(refute_0_84,plain,
addition(c(skolemFOFtoCNF_X0),addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))) = addition(c(skolemFOFtoCNF_X0),one),
inference(subst,[],[refute_0_83:[bind(X_15,$fot(c(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_85,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_86,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_56,refute_0_85]) ).
cnf(refute_0_87,plain,
( addition(c(skolemFOFtoCNF_X0),addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))) != addition(c(skolemFOFtoCNF_X0),one)
| addition(c(skolemFOFtoCNF_X0),one) != addition(one,c(skolemFOFtoCNF_X0))
| addition(c(skolemFOFtoCNF_X0),addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))) = addition(one,c(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(addition(c(skolemFOFtoCNF_X0),addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))))),bind(Y,$fot(addition(c(skolemFOFtoCNF_X0),one))),bind(Z,$fot(addition(one,c(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_88,plain,
( addition(c(skolemFOFtoCNF_X0),one) != addition(one,c(skolemFOFtoCNF_X0))
| addition(c(skolemFOFtoCNF_X0),addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))) = addition(one,c(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))),addition(c(skolemFOFtoCNF_X0),one)) )],[refute_0_84,refute_0_87]) ).
cnf(refute_0_89,plain,
addition(c(skolemFOFtoCNF_X0),addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))) = addition(one,c(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),one),addition(one,c(skolemFOFtoCNF_X0))) )],[refute_0_66,refute_0_88]) ).
cnf(refute_0_90,plain,
( addition(c(skolemFOFtoCNF_X0),addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))) != addition(one,c(skolemFOFtoCNF_X0))
| addition(c(skolemFOFtoCNF_X0),addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))) != one
| addition(one,c(skolemFOFtoCNF_X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))),one) ),[0],$fot(addition(one,c(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_91,plain,
( addition(c(skolemFOFtoCNF_X0),addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))) != one
| addition(one,c(skolemFOFtoCNF_X0)) = one ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))),addition(one,c(skolemFOFtoCNF_X0))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
addition(one,c(skolemFOFtoCNF_X0)) = one,
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),addition(c(skolemFOFtoCNF_X0),c(c(skolemFOFtoCNF_X0)))),one) )],[refute_0_65,refute_0_91]) ).
cnf(refute_0_93,plain,
( addition(one,c(skolemFOFtoCNF_X0)) != one
| multiplication(addition(one,c(skolemFOFtoCNF_X0)),X_40) != addition(X_40,multiplication(c(skolemFOFtoCNF_X0),X_40))
| multiplication(one,X_40) = addition(X_40,multiplication(c(skolemFOFtoCNF_X0),X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,c(skolemFOFtoCNF_X0)),X_40),addition(X_40,multiplication(c(skolemFOFtoCNF_X0),X_40))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_94,plain,
( multiplication(addition(one,c(skolemFOFtoCNF_X0)),X_40) != addition(X_40,multiplication(c(skolemFOFtoCNF_X0),X_40))
| multiplication(one,X_40) = addition(X_40,multiplication(c(skolemFOFtoCNF_X0),X_40)) ),
inference(resolve,[$cnf( $equal(addition(one,c(skolemFOFtoCNF_X0)),one) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
multiplication(one,X_40) = addition(X_40,multiplication(c(skolemFOFtoCNF_X0),X_40)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,c(skolemFOFtoCNF_X0)),X_40),addition(X_40,multiplication(c(skolemFOFtoCNF_X0),X_40))) )],[refute_0_30,refute_0_94]) ).
cnf(refute_0_96,plain,
( multiplication(one,X_40) != X_40
| multiplication(one,X_40) != addition(X_40,multiplication(c(skolemFOFtoCNF_X0),X_40))
| X_40 = addition(X_40,multiplication(c(skolemFOFtoCNF_X0),X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_40),addition(X_40,multiplication(c(skolemFOFtoCNF_X0),X_40))) ),[0],$fot(X_40)]]) ).
cnf(refute_0_97,plain,
( multiplication(one,X_40) != addition(X_40,multiplication(c(skolemFOFtoCNF_X0),X_40))
| X_40 = addition(X_40,multiplication(c(skolemFOFtoCNF_X0),X_40)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_40),X_40) )],[refute_0_26,refute_0_96]) ).
cnf(refute_0_98,plain,
X_40 = addition(X_40,multiplication(c(skolemFOFtoCNF_X0),X_40)),
inference(resolve,[$cnf( $equal(multiplication(one,X_40),addition(X_40,multiplication(c(skolemFOFtoCNF_X0),X_40))) )],[refute_0_95,refute_0_97]) ).
cnf(refute_0_99,plain,
skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) = addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),
inference(subst,[],[refute_0_98:[bind(X_40,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_100,plain,
( skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) != addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))
| addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),bind(Y,$fot(addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))))]]) ).
cnf(refute_0_101,plain,
addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
( addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) != skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)
| multiplication(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))) != multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))),multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))) ),[0,1],$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_103,plain,
( multiplication(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))) != multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))),multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))) )],[refute_0_22,refute_0_103]) ).
cnf(refute_0_105,plain,
( multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != zero
| zero = multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))) ),[0],$fot(zero)]]) ).
cnf(refute_0_106,plain,
( multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))
| zero = multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),zero) )],[refute_0_8,refute_0_105]) ).
cnf(refute_0_107,plain,
zero = multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))) )],[refute_0_104,refute_0_106]) ).
cnf(refute_0_108,plain,
multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) = addition(c(skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1))),
inference(subst,[],[refute_0_29:[bind(X_39,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),bind(X_40,$fot(c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_109,plain,
multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)) = addition(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),bind(B,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_110,plain,
( ~ complement(X1,X0)
| multiplication(X1,X0) = zero ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_111,plain,
( ~ complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1)
| multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) = zero ),
inference(subst,[],[refute_0_110:[bind(X0,$fot(skolemFOFtoCNF_X1_1)),bind(X1,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_112,plain,
multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) = zero,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) )],[refute_0_5,refute_0_111]) ).
cnf(refute_0_113,plain,
( multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)) != addition(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C))
| multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) != zero
| multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)) = addition(zero,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)),addition(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_114,plain,
( multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)) != addition(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C))
| multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)) = addition(zero,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),zero) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)) = addition(zero,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)),addition(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C))) )],[refute_0_109,refute_0_114]) ).
cnf(refute_0_116,plain,
addition(zero,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)) = multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C),
inference(subst,[],[refute_0_17:[bind(A,$fot(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)))]]) ).
cnf(refute_0_117,plain,
( addition(zero,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)) != multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)
| multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)) != addition(zero,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C))
| multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)) = multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)),addition(zero,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C))) ),[1],$fot(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C))]]) ).
cnf(refute_0_118,plain,
( multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)) != addition(zero,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C))
| multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)) = multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)),multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C)) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)) = multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)),addition(zero,multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),C))) )],[refute_0_115,refute_0_118]) ).
cnf(refute_0_120,plain,
multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) = multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)),
inference(subst,[],[refute_0_119:[bind(C,$fot(c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_121,plain,
( ~ test(skolemFOFtoCNF_X1_1)
| complement(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_122,plain,
complement(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( test(skolemFOFtoCNF_X1_1) )],[refute_0_2,refute_0_121]) ).
cnf(refute_0_123,plain,
( ~ complement(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))
| addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) = one ),
inference(subst,[],[refute_0_51:[bind(X0,$fot(c(skolemFOFtoCNF_X1_1))),bind(X1,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_124,plain,
addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) = one,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) = addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),
inference(subst,[],[refute_0_58:[bind(A,$fot(skolemFOFtoCNF_X1_1)),bind(B,$fot(c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_126,plain,
( addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) != addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))
| addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) != one
| addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),one) ),[0],$fot(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_127,plain,
( addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) != one
| addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) = one ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) = one,
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),one) )],[refute_0_124,refute_0_127]) ).
cnf(refute_0_129,plain,
( addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) != one
| multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) != multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1))
| multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one) = multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))),multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_130,plain,
( multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) != multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1))
| multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one) = multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),one) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one) = multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))),multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1))) )],[refute_0_120,refute_0_130]) ).
cnf(refute_0_132,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_133,plain,
multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),
inference(subst,[],[refute_0_132:[bind(A,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_134,plain,
( multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one) != multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1))
| multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one) != skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)
| skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) = multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one),multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1))) ),[0],$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_135,plain,
( multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one) != multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1))
| skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) = multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) = multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one),multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1))) )],[refute_0_131,refute_0_135]) ).
cnf(refute_0_137,plain,
( skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) != multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1))
| multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),bind(Y,$fot(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_138,plain,
multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
( multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) != addition(c(skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)))
| multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)) != skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)
| multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) = addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)),addition(c(skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)))) ),[1,1],$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_140,plain,
( multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) != addition(c(skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)))
| multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) = addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) = addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)),addition(c(skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)))) )],[refute_0_108,refute_0_140]) ).
cnf(refute_0_142,plain,
multiplication(one,c(skolemFOFtoCNF_X1_1)) = c(skolemFOFtoCNF_X1_1),
inference(subst,[],[refute_0_25:[bind(A,$fot(c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_143,plain,
( ~ leq(A,B)
| addition(A,B) = B ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_144,plain,
( ~ leq(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one)
| addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one) = one ),
inference(subst,[],[refute_0_143:[bind(A,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),bind(B,$fot(one))]]) ).
cnf(refute_0_145,plain,
( addition(A,B) != B
| leq(A,B) ),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_146,plain,
( addition(X_49,addition(X_49,X_16)) != addition(X_49,X_16)
| leq(X_49,addition(X_49,X_16)) ),
inference(subst,[],[refute_0_145:[bind(A,$fot(X_49)),bind(B,$fot(addition(X_49,X_16)))]]) ).
cnf(refute_0_147,plain,
addition(X_49,addition(X_49,X_16)) = addition(X_49,X_16),
inference(subst,[],[refute_0_37:[bind(X_15,$fot(X_49))]]) ).
cnf(refute_0_148,plain,
( addition(X_49,X_16) != addition(X_49,X_16)
| addition(X_49,addition(X_49,X_16)) != addition(X_49,X_16)
| addition(X_49,addition(X_49,X_16)) = addition(X_49,X_16) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_49,addition(X_49,X_16)),addition(X_49,X_16)) ),[0,1],$fot(addition(X_49,X_16))]]) ).
cnf(refute_0_149,plain,
( addition(X_49,X_16) != addition(X_49,X_16)
| addition(X_49,addition(X_49,X_16)) = addition(X_49,X_16) ),
inference(resolve,[$cnf( $equal(addition(X_49,addition(X_49,X_16)),addition(X_49,X_16)) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
( addition(X_49,X_16) != addition(X_49,X_16)
| leq(X_49,addition(X_49,X_16)) ),
inference(resolve,[$cnf( $equal(addition(X_49,addition(X_49,X_16)),addition(X_49,X_16)) )],[refute_0_149,refute_0_146]) ).
cnf(refute_0_151,plain,
addition(X_49,X_16) = addition(X_49,X_16),
introduced(tautology,[refl,[$fot(addition(X_49,X_16))]]) ).
cnf(refute_0_152,plain,
leq(X_49,addition(X_49,X_16)),
inference(resolve,[$cnf( $equal(addition(X_49,X_16),addition(X_49,X_16)) )],[refute_0_151,refute_0_150]) ).
cnf(refute_0_153,plain,
leq(X_54,addition(X_54,X_53)),
inference(subst,[],[refute_0_152:[bind(X_16,$fot(X_53)),bind(X_49,$fot(X_54))]]) ).
cnf(refute_0_154,plain,
addition(X_53,X_54) = addition(X_54,X_53),
inference(subst,[],[refute_0_13:[bind(A,$fot(X_53)),bind(B,$fot(X_54))]]) ).
cnf(refute_0_155,plain,
( addition(X_53,X_54) != addition(X_54,X_53)
| addition(X_54,X_53) = addition(X_53,X_54) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(addition(X_53,X_54))),bind(Y,$fot(addition(X_54,X_53)))]]) ).
cnf(refute_0_156,plain,
addition(X_54,X_53) = addition(X_53,X_54),
inference(resolve,[$cnf( $equal(addition(X_53,X_54),addition(X_54,X_53)) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
( addition(X_54,X_53) != addition(X_53,X_54)
| ~ leq(X_54,addition(X_54,X_53))
| leq(X_54,addition(X_53,X_54)) ),
introduced(tautology,[equality,[$cnf( leq(X_54,addition(X_54,X_53)) ),[1],$fot(addition(X_53,X_54))]]) ).
cnf(refute_0_158,plain,
( ~ leq(X_54,addition(X_54,X_53))
| leq(X_54,addition(X_53,X_54)) ),
inference(resolve,[$cnf( $equal(addition(X_54,X_53),addition(X_53,X_54)) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
leq(X_54,addition(X_53,X_54)),
inference(resolve,[$cnf( leq(X_54,addition(X_54,X_53)) )],[refute_0_153,refute_0_158]) ).
cnf(refute_0_160,plain,
leq(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),
inference(subst,[],[refute_0_159:[bind(X_53,$fot(skolemFOFtoCNF_X1_1)),bind(X_54,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_161,plain,
( ~ complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1)
| addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = one ),
inference(subst,[],[refute_0_51:[bind(X0,$fot(skolemFOFtoCNF_X1_1)),bind(X1,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_162,plain,
addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = one,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) )],[refute_0_5,refute_0_161]) ).
cnf(refute_0_163,plain,
( addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != one
| ~ leq(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))
| leq(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one) ),
introduced(tautology,[equality,[$cnf( leq(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) ),[1],$fot(one)]]) ).
cnf(refute_0_164,plain,
( ~ leq(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))
| leq(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),one) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
leq(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one),
inference(resolve,[$cnf( leq(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) )],[refute_0_160,refute_0_164]) ).
cnf(refute_0_166,plain,
addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one) = one,
inference(resolve,[$cnf( leq(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one) )],[refute_0_165,refute_0_144]) ).
cnf(refute_0_167,plain,
addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one) = addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),
inference(subst,[],[refute_0_58:[bind(A,$fot(one)),bind(B,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_168,plain,
( addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one) != addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one) != one
| addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one),one) ),[0],$fot(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_169,plain,
( addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one) != one
| addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = one ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one),addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = one,
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),one),one) )],[refute_0_166,refute_0_169]) ).
cnf(refute_0_171,plain,
multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) = multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)),
introduced(tautology,[refl,[$fot(multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_172,plain,
( addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != one
| multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) != multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1))
| multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) = multiplication(one,c(skolemFOFtoCNF_X1_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)),multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_173,plain,
( addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != one
| multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) = multiplication(one,c(skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)),multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) = multiplication(one,c(skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( $equal(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),one) )],[refute_0_170,refute_0_173]) ).
cnf(refute_0_175,plain,
( multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) != multiplication(one,c(skolemFOFtoCNF_X1_1))
| multiplication(one,c(skolemFOFtoCNF_X1_1)) != c(skolemFOFtoCNF_X1_1)
| multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) = c(skolemFOFtoCNF_X1_1) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)))),bind(Y,$fot(multiplication(one,c(skolemFOFtoCNF_X1_1)))),bind(Z,$fot(c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_176,plain,
( multiplication(one,c(skolemFOFtoCNF_X1_1)) != c(skolemFOFtoCNF_X1_1)
| multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) = c(skolemFOFtoCNF_X1_1) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)),multiplication(one,c(skolemFOFtoCNF_X1_1))) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) = c(skolemFOFtoCNF_X1_1),
inference(resolve,[$cnf( $equal(multiplication(one,c(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) )],[refute_0_142,refute_0_176]) ).
cnf(refute_0_178,plain,
( multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) != addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) != c(skolemFOFtoCNF_X1_1)
| c(skolemFOFtoCNF_X1_1) = addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)),addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) ),[0],$fot(c(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_179,plain,
( multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) != addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| c(skolemFOFtoCNF_X1_1) = addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),
inference(subst,[],[refute_0_29:[bind(X_39,$fot(c(skolemFOFtoCNF_X1_1))),bind(X_40,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_181,plain,
multiplication(c(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)) = addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X1_1),C)),
inference(subst,[],[refute_0_0:[bind(A,$fot(c(skolemFOFtoCNF_X1_1))),bind(B,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_182,plain,
( ~ complement(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))
| multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) = zero ),
inference(subst,[],[refute_0_6:[bind(X0,$fot(c(skolemFOFtoCNF_X1_1))),bind(X1,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_183,plain,
multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) = zero,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) )],[refute_0_122,refute_0_182]) ).
cnf(refute_0_184,plain,
( multiplication(c(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)) != addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X1_1),C))
| multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) != zero
| multiplication(c(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)) = addition(zero,multiplication(c(skolemFOFtoCNF_X1_1),C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X1_1),C))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_185,plain,
( multiplication(c(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)) != addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X1_1),C))
| multiplication(c(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)) = addition(zero,multiplication(c(skolemFOFtoCNF_X1_1),C)) ),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),zero) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
multiplication(c(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)) = addition(zero,multiplication(c(skolemFOFtoCNF_X1_1),C)),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X1_1),C))) )],[refute_0_181,refute_0_185]) ).
cnf(refute_0_187,plain,
addition(zero,multiplication(c(skolemFOFtoCNF_X1_1),C)) = multiplication(c(skolemFOFtoCNF_X1_1),C),
inference(subst,[],[refute_0_17:[bind(A,$fot(multiplication(c(skolemFOFtoCNF_X1_1),C)))]]) ).
cnf(refute_0_188,plain,
( addition(zero,multiplication(c(skolemFOFtoCNF_X1_1),C)) != multiplication(c(skolemFOFtoCNF_X1_1),C)
| multiplication(c(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)) != addition(zero,multiplication(c(skolemFOFtoCNF_X1_1),C))
| multiplication(c(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)) = multiplication(c(skolemFOFtoCNF_X1_1),C) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)),addition(zero,multiplication(c(skolemFOFtoCNF_X1_1),C))) ),[1],$fot(multiplication(c(skolemFOFtoCNF_X1_1),C))]]) ).
cnf(refute_0_189,plain,
( multiplication(c(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)) != addition(zero,multiplication(c(skolemFOFtoCNF_X1_1),C))
| multiplication(c(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)) = multiplication(c(skolemFOFtoCNF_X1_1),C) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(c(skolemFOFtoCNF_X1_1),C)),multiplication(c(skolemFOFtoCNF_X1_1),C)) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
multiplication(c(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)) = multiplication(c(skolemFOFtoCNF_X1_1),C),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,C)),addition(zero,multiplication(c(skolemFOFtoCNF_X1_1),C))) )],[refute_0_186,refute_0_189]) ).
cnf(refute_0_191,plain,
multiplication(c(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) = multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),
inference(subst,[],[refute_0_190:[bind(C,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_192,plain,
( addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != one
| multiplication(c(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) != multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| multiplication(c(skolemFOFtoCNF_X1_1),one) = multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_193,plain,
( multiplication(c(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) != multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| multiplication(c(skolemFOFtoCNF_X1_1),one) = multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),one) )],[refute_0_162,refute_0_192]) ).
cnf(refute_0_194,plain,
multiplication(c(skolemFOFtoCNF_X1_1),one) = multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) )],[refute_0_191,refute_0_193]) ).
cnf(refute_0_195,plain,
multiplication(c(skolemFOFtoCNF_X1_1),one) = c(skolemFOFtoCNF_X1_1),
inference(subst,[],[refute_0_132:[bind(A,$fot(c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_196,plain,
( multiplication(c(skolemFOFtoCNF_X1_1),one) != c(skolemFOFtoCNF_X1_1)
| multiplication(c(skolemFOFtoCNF_X1_1),one) != multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| c(skolemFOFtoCNF_X1_1) = multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X1_1),one),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) ),[0],$fot(c(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_197,plain,
( multiplication(c(skolemFOFtoCNF_X1_1),one) != multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| c(skolemFOFtoCNF_X1_1) = multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X1_1),one),c(skolemFOFtoCNF_X1_1)) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
c(skolemFOFtoCNF_X1_1) = multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X1_1),one),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) )],[refute_0_194,refute_0_197]) ).
cnf(refute_0_199,plain,
( c(skolemFOFtoCNF_X1_1) != multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = c(skolemFOFtoCNF_X1_1) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(c(skolemFOFtoCNF_X1_1))),bind(Y,$fot(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_200,plain,
multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = c(skolemFOFtoCNF_X1_1),
inference(resolve,[$cnf( $equal(c(skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
( multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))
| multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != c(skolemFOFtoCNF_X1_1)
| multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))) ),[1,1],$fot(c(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_202,plain,
( multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))
| multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))) )],[refute_0_180,refute_0_202]) ).
cnf(refute_0_204,plain,
multiplication(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),
inference(subst,[],[refute_0_25:[bind(A,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_205,plain,
addition(c(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))) = addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1))),
inference(subst,[],[refute_0_37:[bind(X_15,$fot(c(skolemFOFtoCNF_X1_1))),bind(X_16,$fot(c(c(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_206,plain,
( ~ test(c(skolemFOFtoCNF_X1_1))
| complement(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_207,plain,
( ~ complement(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))
| test(c(skolemFOFtoCNF_X1_1)) ),
inference(subst,[],[refute_0_47:[bind(X0,$fot(c(skolemFOFtoCNF_X1_1))),bind(X1,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_208,plain,
test(c(skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) )],[refute_0_122,refute_0_207]) ).
cnf(refute_0_209,plain,
complement(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1))),
inference(resolve,[$cnf( test(c(skolemFOFtoCNF_X1_1)) )],[refute_0_208,refute_0_206]) ).
cnf(refute_0_210,plain,
( ~ complement(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))
| addition(c(c(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) = one ),
inference(subst,[],[refute_0_51:[bind(X0,$fot(c(c(skolemFOFtoCNF_X1_1)))),bind(X1,$fot(c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_211,plain,
addition(c(c(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) = one,
inference(resolve,[$cnf( complement(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1))) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
addition(c(c(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) = addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1))),
inference(subst,[],[refute_0_58:[bind(A,$fot(c(skolemFOFtoCNF_X1_1))),bind(B,$fot(c(c(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_213,plain,
( addition(c(c(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) != addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))
| addition(c(c(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) != one
| addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(c(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)),one) ),[0],$fot(addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_214,plain,
( addition(c(c(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) != one
| addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1))) = one ),
inference(resolve,[$cnf( $equal(addition(c(c(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)),addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1))) = one,
inference(resolve,[$cnf( $equal(addition(c(c(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)),one) )],[refute_0_211,refute_0_214]) ).
cnf(refute_0_216,plain,
( addition(c(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))) != addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))
| addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1))) != one
| addition(c(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(c(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))),one) ),[0],$fot(addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_217,plain,
( addition(c(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))) != addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))
| addition(c(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))) = one ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1))),one) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
addition(c(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))) = one,
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))),addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))) )],[refute_0_205,refute_0_217]) ).
cnf(refute_0_219,plain,
addition(c(skolemFOFtoCNF_X1_1),one) = addition(one,c(skolemFOFtoCNF_X1_1)),
inference(subst,[],[refute_0_58:[bind(A,$fot(one)),bind(B,$fot(c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_220,plain,
addition(c(skolemFOFtoCNF_X1_1),addition(X_15,c(c(skolemFOFtoCNF_X1_1)))) = addition(X_15,addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))),
inference(subst,[],[refute_0_79:[bind(X_14,$fot(c(skolemFOFtoCNF_X1_1))),bind(X_16,$fot(c(c(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_221,plain,
( addition(c(skolemFOFtoCNF_X1_1),addition(X_15,c(c(skolemFOFtoCNF_X1_1)))) != addition(X_15,addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1))))
| addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1))) != one
| addition(c(skolemFOFtoCNF_X1_1),addition(X_15,c(c(skolemFOFtoCNF_X1_1)))) = addition(X_15,one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_1),addition(X_15,c(c(skolemFOFtoCNF_X1_1)))),addition(X_15,addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_222,plain,
( addition(c(skolemFOFtoCNF_X1_1),addition(X_15,c(c(skolemFOFtoCNF_X1_1)))) != addition(X_15,addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1))))
| addition(c(skolemFOFtoCNF_X1_1),addition(X_15,c(c(skolemFOFtoCNF_X1_1)))) = addition(X_15,one) ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1))),one) )],[refute_0_215,refute_0_221]) ).
cnf(refute_0_223,plain,
addition(c(skolemFOFtoCNF_X1_1),addition(X_15,c(c(skolemFOFtoCNF_X1_1)))) = addition(X_15,one),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_1),addition(X_15,c(c(skolemFOFtoCNF_X1_1)))),addition(X_15,addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1))))) )],[refute_0_220,refute_0_222]) ).
cnf(refute_0_224,plain,
addition(c(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))) = addition(c(skolemFOFtoCNF_X1_1),one),
inference(subst,[],[refute_0_223:[bind(X_15,$fot(c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_225,plain,
( addition(c(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))) != addition(c(skolemFOFtoCNF_X1_1),one)
| addition(c(skolemFOFtoCNF_X1_1),one) != addition(one,c(skolemFOFtoCNF_X1_1))
| addition(c(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))) = addition(one,c(skolemFOFtoCNF_X1_1)) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(addition(c(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))))),bind(Y,$fot(addition(c(skolemFOFtoCNF_X1_1),one))),bind(Z,$fot(addition(one,c(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_226,plain,
( addition(c(skolemFOFtoCNF_X1_1),one) != addition(one,c(skolemFOFtoCNF_X1_1))
| addition(c(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))) = addition(one,c(skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))),addition(c(skolemFOFtoCNF_X1_1),one)) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
addition(c(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))) = addition(one,c(skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_1),one),addition(one,c(skolemFOFtoCNF_X1_1))) )],[refute_0_219,refute_0_226]) ).
cnf(refute_0_228,plain,
( addition(c(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))) != addition(one,c(skolemFOFtoCNF_X1_1))
| addition(c(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))) != one
| addition(one,c(skolemFOFtoCNF_X1_1)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))),one) ),[0],$fot(addition(one,c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_229,plain,
( addition(c(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))) != one
| addition(one,c(skolemFOFtoCNF_X1_1)) = one ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))),addition(one,c(skolemFOFtoCNF_X1_1))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
addition(one,c(skolemFOFtoCNF_X1_1)) = one,
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),c(c(skolemFOFtoCNF_X1_1)))),one) )],[refute_0_218,refute_0_229]) ).
cnf(refute_0_231,plain,
multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),
introduced(tautology,[refl,[$fot(multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_232,plain,
( addition(one,c(skolemFOFtoCNF_X1_1)) != one
| multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = multiplication(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_233,plain,
( addition(one,c(skolemFOFtoCNF_X1_1)) != one
| multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = multiplication(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = multiplication(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( $equal(addition(one,c(skolemFOFtoCNF_X1_1)),one) )],[refute_0_230,refute_0_233]) ).
cnf(refute_0_235,plain,
( multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != multiplication(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| multiplication(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)
| multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))),bind(Y,$fot(multiplication(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))),bind(Z,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_236,plain,
( multiplication(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)
| multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),multiplication(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),
inference(resolve,[$cnf( $equal(multiplication(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) )],[refute_0_204,refute_0_236]) ).
cnf(refute_0_238,plain,
( multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1))
| multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)
| skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) = addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1))) ),[0],$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_239,plain,
( multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1))
| skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) = addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)) = addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),
inference(subst,[],[refute_0_58:[bind(A,$fot(c(skolemFOFtoCNF_X1_1))),bind(B,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_241,plain,
( addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)) != addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) != addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1))
| skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) = addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1))) ),[1],$fot(addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_242,plain,
( skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) != addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1))
| skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) = addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)),addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
( multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1))
| skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) = addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1))) )],[refute_0_239,refute_0_242]) ).
cnf(refute_0_244,plain,
skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) = addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1))) )],[refute_0_203,refute_0_243]) ).
cnf(refute_0_245,plain,
( skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) != addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),bind(Y,$fot(addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_246,plain,
addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
( addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)
| c(skolemFOFtoCNF_X1_1) != addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| c(skolemFOFtoCNF_X1_1) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) ),
introduced(tautology,[equality,[$cnf( $equal(c(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) ),[1],$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_248,plain,
( c(skolemFOFtoCNF_X1_1) != addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| c(skolemFOFtoCNF_X1_1) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
( multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)) != addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| c(skolemFOFtoCNF_X1_1) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) ),
inference(resolve,[$cnf( $equal(c(skolemFOFtoCNF_X1_1),addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) )],[refute_0_179,refute_0_248]) ).
cnf(refute_0_250,plain,
c(skolemFOFtoCNF_X1_1) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),
inference(resolve,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),c(skolemFOFtoCNF_X1_1)),addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) )],[refute_0_141,refute_0_249]) ).
cnf(refute_0_251,plain,
( c(skolemFOFtoCNF_X1_1) != skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)
| skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) = c(skolemFOFtoCNF_X1_1) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(c(skolemFOFtoCNF_X1_1))),bind(Y,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_252,plain,
skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) = c(skolemFOFtoCNF_X1_1),
inference(resolve,[$cnf( $equal(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),
introduced(tautology,[refl,[$fot(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_254,plain,
( multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) != c(skolemFOFtoCNF_X1_1)
| multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) ),[1,1],$fot(c(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_255,plain,
( skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1) != c(skolemFOFtoCNF_X1_1)
| multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X1_1)) )],[refute_0_252,refute_0_255]) ).
cnf(refute_0_257,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) = multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),
introduced(tautology,[refl,[$fot(multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_258,plain,
( multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) != multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) = multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))) ),[1,1],$fot(multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_259,plain,
( multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) = multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) = multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) )],[refute_0_256,refute_0_259]) ).
cnf(refute_0_261,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) != multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))
| zero != multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))
| zero = multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))) ),[1],$fot(multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_262,plain,
( zero != multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))
| zero = multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
zero = multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))),
inference(resolve,[$cnf( $equal(zero,multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))) )],[refute_0_107,refute_0_262]) ).
cnf(refute_0_264,plain,
multiplication(multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X0)),c(skolemFOFtoCNF_X1_1)) != zero,
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_265,plain,
multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_266,plain,
( multiplication(A,multiplication(B,C)) != multiplication(multiplication(A,B),C)
| multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(multiplication(A,multiplication(B,C)))),bind(Y,$fot(multiplication(multiplication(A,B),C)))]]) ).
cnf(refute_0_267,plain,
multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)),
inference(resolve,[$cnf( $equal(multiplication(A,multiplication(B,C)),multiplication(multiplication(A,B),C)) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
multiplication(multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X0)),c(skolemFOFtoCNF_X1_1)) = multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))),
inference(subst,[],[refute_0_267:[bind(A,$fot(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))),bind(B,$fot(c(skolemFOFtoCNF_X0))),bind(C,$fot(c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_269,plain,
( multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) != zero
| multiplication(multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X0)),c(skolemFOFtoCNF_X1_1)) != multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))
| multiplication(multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X0)),c(skolemFOFtoCNF_X1_1)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X0)),c(skolemFOFtoCNF_X1_1)),multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) ),[1],$fot(zero)]]) ).
cnf(refute_0_270,plain,
( multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) != zero
| multiplication(multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X0)),c(skolemFOFtoCNF_X1_1)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X0)),c(skolemFOFtoCNF_X1_1)),multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) != zero,
inference(resolve,[$cnf( $equal(multiplication(multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),c(skolemFOFtoCNF_X0)),c(skolemFOFtoCNF_X1_1)),zero) )],[refute_0_270,refute_0_264]) ).
cnf(refute_0_272,plain,
multiplication(addition(skolemFOFtoCNF_X0,B),multiplication(c(skolemFOFtoCNF_X0),X_343)) = addition(multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),X_343)),multiplication(B,multiplication(c(skolemFOFtoCNF_X0),X_343))),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(C,$fot(multiplication(c(skolemFOFtoCNF_X0),X_343)))]]) ).
cnf(refute_0_273,plain,
multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),C)) = multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),C),
inference(subst,[],[refute_0_265:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(c(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_274,plain,
multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),C)) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,C)),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_275,plain,
( ~ test(skolemFOFtoCNF_X0)
| complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_276,plain,
complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( test(skolemFOFtoCNF_X0) )],[refute_0_44,refute_0_275]) ).
cnf(refute_0_277,plain,
( ~ complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
| multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)) = zero ),
inference(subst,[],[refute_0_6:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_278,plain,
multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)) = zero,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
( multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),C)) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,C))
| multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)) != zero
| multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),C)) = addition(zero,multiplication(skolemFOFtoCNF_X0,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),C)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,C))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_280,plain,
( multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),C)) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,C))
| multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),C)) = addition(zero,multiplication(skolemFOFtoCNF_X0,C)) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)),zero) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),C)) = addition(zero,multiplication(skolemFOFtoCNF_X0,C)),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),C)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,C))) )],[refute_0_274,refute_0_280]) ).
cnf(refute_0_282,plain,
addition(zero,multiplication(skolemFOFtoCNF_X0,C)) = multiplication(skolemFOFtoCNF_X0,C),
inference(subst,[],[refute_0_17:[bind(A,$fot(multiplication(skolemFOFtoCNF_X0,C)))]]) ).
cnf(refute_0_283,plain,
( addition(zero,multiplication(skolemFOFtoCNF_X0,C)) != multiplication(skolemFOFtoCNF_X0,C)
| multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),C)) != addition(zero,multiplication(skolemFOFtoCNF_X0,C))
| multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),C)) = multiplication(skolemFOFtoCNF_X0,C) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),C)),addition(zero,multiplication(skolemFOFtoCNF_X0,C))) ),[1],$fot(multiplication(skolemFOFtoCNF_X0,C))]]) ).
cnf(refute_0_284,plain,
( multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),C)) != addition(zero,multiplication(skolemFOFtoCNF_X0,C))
| multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),C)) = multiplication(skolemFOFtoCNF_X0,C) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(skolemFOFtoCNF_X0,C)),multiplication(skolemFOFtoCNF_X0,C)) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),C)) = multiplication(skolemFOFtoCNF_X0,C),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),C)),addition(zero,multiplication(skolemFOFtoCNF_X0,C))) )],[refute_0_281,refute_0_284]) ).
cnf(refute_0_286,plain,
multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))) = multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_285:[bind(C,$fot(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_287,plain,
skolemFOFtoCNF_X1(skolemFOFtoCNF_X0) = addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_98:[bind(X_40,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_288,plain,
( skolemFOFtoCNF_X1(skolemFOFtoCNF_X0) != addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))
| addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))),bind(Y,$fot(addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_289,plain,
addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))) = skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
( addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))) != skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)
| multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))) != multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))
| multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)) = multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))),multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))) ),[0,1],$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_291,plain,
( multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))) != multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))
| multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)) = multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)) = multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))),multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))) )],[refute_0_286,refute_0_291]) ).
cnf(refute_0_293,plain,
( multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)) != multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))
| multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)) != zero
| zero = multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))) ),[0],$fot(zero)]]) ).
cnf(refute_0_294,plain,
( multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)) != multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))
| zero = multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)),zero) )],[refute_0_278,refute_0_293]) ).
cnf(refute_0_295,plain,
zero = multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))) )],[refute_0_292,refute_0_294]) ).
cnf(refute_0_296,plain,
multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,C)) = addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),C)),
inference(subst,[],[refute_0_0:[bind(A,$fot(c(skolemFOFtoCNF_X0))),bind(B,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_297,plain,
( ~ complement(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))
| multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = zero ),
inference(subst,[],[refute_0_6:[bind(X0,$fot(c(skolemFOFtoCNF_X0))),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_298,plain,
multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = zero,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) )],[refute_0_46,refute_0_297]) ).
cnf(refute_0_299,plain,
( multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,C)) != addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),C))
| multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != zero
| multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,C)) = addition(zero,multiplication(c(skolemFOFtoCNF_X0),C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,C)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),C))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_300,plain,
( multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,C)) != addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),C))
| multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,C)) = addition(zero,multiplication(c(skolemFOFtoCNF_X0),C)) ),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),zero) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,C)) = addition(zero,multiplication(c(skolemFOFtoCNF_X0),C)),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,C)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),C))) )],[refute_0_296,refute_0_300]) ).
cnf(refute_0_302,plain,
addition(zero,multiplication(c(skolemFOFtoCNF_X0),C)) = multiplication(c(skolemFOFtoCNF_X0),C),
inference(subst,[],[refute_0_17:[bind(A,$fot(multiplication(c(skolemFOFtoCNF_X0),C)))]]) ).
cnf(refute_0_303,plain,
( addition(zero,multiplication(c(skolemFOFtoCNF_X0),C)) != multiplication(c(skolemFOFtoCNF_X0),C)
| multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,C)) != addition(zero,multiplication(c(skolemFOFtoCNF_X0),C))
| multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,C)) = multiplication(c(skolemFOFtoCNF_X0),C) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,C)),addition(zero,multiplication(c(skolemFOFtoCNF_X0),C))) ),[1],$fot(multiplication(c(skolemFOFtoCNF_X0),C))]]) ).
cnf(refute_0_304,plain,
( multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,C)) != addition(zero,multiplication(c(skolemFOFtoCNF_X0),C))
| multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,C)) = multiplication(c(skolemFOFtoCNF_X0),C) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(c(skolemFOFtoCNF_X0),C)),multiplication(c(skolemFOFtoCNF_X0),C)) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,C)) = multiplication(c(skolemFOFtoCNF_X0),C),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,C)),addition(zero,multiplication(c(skolemFOFtoCNF_X0),C))) )],[refute_0_301,refute_0_304]) ).
cnf(refute_0_306,plain,
multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))) = multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_305:[bind(C,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_307,plain,
( ~ complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
| addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)) = one ),
inference(subst,[],[refute_0_51:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_308,plain,
addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)) = one,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_276,refute_0_307]) ).
cnf(refute_0_309,plain,
( addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)) != one
| multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))) != multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))
| multiplication(c(skolemFOFtoCNF_X0),one) = multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_310,plain,
( multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))) != multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))
| multiplication(c(skolemFOFtoCNF_X0),one) = multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)),one) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
multiplication(c(skolemFOFtoCNF_X0),one) = multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))) )],[refute_0_306,refute_0_310]) ).
cnf(refute_0_312,plain,
multiplication(c(skolemFOFtoCNF_X0),one) = c(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_132:[bind(A,$fot(c(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_313,plain,
( multiplication(c(skolemFOFtoCNF_X0),one) != c(skolemFOFtoCNF_X0)
| multiplication(c(skolemFOFtoCNF_X0),one) != multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))
| c(skolemFOFtoCNF_X0) = multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),one),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))) ),[0],$fot(c(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_314,plain,
( multiplication(c(skolemFOFtoCNF_X0),one) != multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))
| c(skolemFOFtoCNF_X0) = multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),one),c(skolemFOFtoCNF_X0)) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
c(skolemFOFtoCNF_X0) = multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),one),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))) )],[refute_0_311,refute_0_314]) ).
cnf(refute_0_316,plain,
( c(skolemFOFtoCNF_X0) != multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))
| multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)) = c(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(c(skolemFOFtoCNF_X0))),bind(Y,$fot(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_317,plain,
multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)) = c(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(c(skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))) = multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_319,plain,
( multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)) != c(skolemFOFtoCNF_X0)
| multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))) != multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))
| multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))) = multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))),multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))) ),[1,1],$fot(c(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_320,plain,
( multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)) != c(skolemFOFtoCNF_X0)
| multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))) = multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))),multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))) = multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)),c(skolemFOFtoCNF_X0)) )],[refute_0_317,refute_0_320]) ).
cnf(refute_0_322,plain,
( multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))) != multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))
| zero != multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))
| zero = multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))) ),[1],$fot(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_323,plain,
( zero != multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))
| zero = multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0))),multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
zero = multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(zero,multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))) )],[refute_0_295,refute_0_323]) ).
cnf(refute_0_325,plain,
( zero != multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))
| multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) = zero ),
inference(subst,[],[refute_0_56:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_326,plain,
multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) = zero,
inference(resolve,[$cnf( $equal(zero,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
( multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) != zero
| multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),C)) != multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),C)
| multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),C)) = multiplication(zero,C) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),C)),multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),C)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_328,plain,
( multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),C)) != multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),C)
| multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),C)) = multiplication(zero,C) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),zero) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),C)) = multiplication(zero,C),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),C)),multiplication(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),C)) )],[refute_0_273,refute_0_328]) ).
cnf(refute_0_330,plain,
multiplication(zero,A) = zero,
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_331,plain,
multiplication(zero,C) = zero,
inference(subst,[],[refute_0_330:[bind(A,$fot(C))]]) ).
cnf(refute_0_332,plain,
( multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),C)) != multiplication(zero,C)
| multiplication(zero,C) != zero
| multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),C)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),C)),zero) ),[0],$fot(multiplication(zero,C))]]) ).
cnf(refute_0_333,plain,
( multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),C)) != multiplication(zero,C)
| multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),C)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(zero,C),zero) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),C)) = zero,
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),C)),multiplication(zero,C)) )],[refute_0_329,refute_0_333]) ).
cnf(refute_0_335,plain,
multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),X_343)) = zero,
inference(subst,[],[refute_0_334:[bind(C,$fot(X_343))]]) ).
cnf(refute_0_336,plain,
( multiplication(addition(skolemFOFtoCNF_X0,B),multiplication(c(skolemFOFtoCNF_X0),X_343)) != addition(multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),X_343)),multiplication(B,multiplication(c(skolemFOFtoCNF_X0),X_343)))
| multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),X_343)) != zero
| multiplication(addition(skolemFOFtoCNF_X0,B),multiplication(c(skolemFOFtoCNF_X0),X_343)) = addition(zero,multiplication(B,multiplication(c(skolemFOFtoCNF_X0),X_343))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X0,B),multiplication(c(skolemFOFtoCNF_X0),X_343)),addition(multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),X_343)),multiplication(B,multiplication(c(skolemFOFtoCNF_X0),X_343)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_337,plain,
( multiplication(addition(skolemFOFtoCNF_X0,B),multiplication(c(skolemFOFtoCNF_X0),X_343)) != addition(multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),X_343)),multiplication(B,multiplication(c(skolemFOFtoCNF_X0),X_343)))
| multiplication(addition(skolemFOFtoCNF_X0,B),multiplication(c(skolemFOFtoCNF_X0),X_343)) = addition(zero,multiplication(B,multiplication(c(skolemFOFtoCNF_X0),X_343))) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),X_343)),zero) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
multiplication(addition(skolemFOFtoCNF_X0,B),multiplication(c(skolemFOFtoCNF_X0),X_343)) = addition(zero,multiplication(B,multiplication(c(skolemFOFtoCNF_X0),X_343))),
inference(resolve,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X0,B),multiplication(c(skolemFOFtoCNF_X0),X_343)),addition(multiplication(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),X_343)),multiplication(B,multiplication(c(skolemFOFtoCNF_X0),X_343)))) )],[refute_0_272,refute_0_337]) ).
cnf(refute_0_339,plain,
addition(zero,multiplication(B,multiplication(c(skolemFOFtoCNF_X0),X_343))) = multiplication(B,multiplication(c(skolemFOFtoCNF_X0),X_343)),
inference(subst,[],[refute_0_17:[bind(A,$fot(multiplication(B,multiplication(c(skolemFOFtoCNF_X0),X_343))))]]) ).
cnf(refute_0_340,plain,
( addition(zero,multiplication(B,multiplication(c(skolemFOFtoCNF_X0),X_343))) != multiplication(B,multiplication(c(skolemFOFtoCNF_X0),X_343))
| multiplication(addition(skolemFOFtoCNF_X0,B),multiplication(c(skolemFOFtoCNF_X0),X_343)) != addition(zero,multiplication(B,multiplication(c(skolemFOFtoCNF_X0),X_343)))
| multiplication(addition(skolemFOFtoCNF_X0,B),multiplication(c(skolemFOFtoCNF_X0),X_343)) = multiplication(B,multiplication(c(skolemFOFtoCNF_X0),X_343)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X0,B),multiplication(c(skolemFOFtoCNF_X0),X_343)),addition(zero,multiplication(B,multiplication(c(skolemFOFtoCNF_X0),X_343)))) ),[1],$fot(multiplication(B,multiplication(c(skolemFOFtoCNF_X0),X_343)))]]) ).
cnf(refute_0_341,plain,
( multiplication(addition(skolemFOFtoCNF_X0,B),multiplication(c(skolemFOFtoCNF_X0),X_343)) != addition(zero,multiplication(B,multiplication(c(skolemFOFtoCNF_X0),X_343)))
| multiplication(addition(skolemFOFtoCNF_X0,B),multiplication(c(skolemFOFtoCNF_X0),X_343)) = multiplication(B,multiplication(c(skolemFOFtoCNF_X0),X_343)) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(B,multiplication(c(skolemFOFtoCNF_X0),X_343))),multiplication(B,multiplication(c(skolemFOFtoCNF_X0),X_343))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
multiplication(addition(skolemFOFtoCNF_X0,B),multiplication(c(skolemFOFtoCNF_X0),X_343)) = multiplication(B,multiplication(c(skolemFOFtoCNF_X0),X_343)),
inference(resolve,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X0,B),multiplication(c(skolemFOFtoCNF_X0),X_343)),addition(zero,multiplication(B,multiplication(c(skolemFOFtoCNF_X0),X_343)))) )],[refute_0_338,refute_0_341]) ).
cnf(refute_0_343,plain,
multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) = multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))),
inference(subst,[],[refute_0_342:[bind(B,$fot(skolemFOFtoCNF_X1_1)),bind(X_343,$fot(c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_344,plain,
( multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) != multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) != zero
| multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))),zero) ),[0],$fot(multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_345,plain,
( multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) != zero
| multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))),multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) != zero,
inference(resolve,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))),zero) )],[refute_0_345,refute_0_271]) ).
cnf(refute_0_347,plain,
( zero != multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) = zero ),
inference(subst,[],[refute_0_56:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))]]) ).
cnf(refute_0_348,plain,
zero != multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))),zero) )],[refute_0_347,refute_0_346]) ).
cnf(refute_0_349,plain,
$false,
inference(resolve,[$cnf( $equal(zero,multiplication(skolemFOFtoCNF_X1_1,multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) )],[refute_0_263,refute_0_348]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KLE015+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n005.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 15:04:23 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 7.51/7.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.51/7.69
% 7.51/7.69 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.51/7.71
%------------------------------------------------------------------------------