TSTP Solution File: KLE018+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE018+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 02:14:39 EDT 2022
% Result : Theorem 223.70s 223.87s
% Output : CNFRefutation 223.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 94
% Syntax : Number of formulae : 508 ( 262 unt; 0 def)
% Number of atoms : 884 ( 752 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 732 ( 356 ~; 335 |; 24 &)
% ( 12 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 795 ( 3 sgn 105 !; 4 ?)
% 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(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,X2] :
( ( test(X0)
& test(X1)
& test(X2) )
=> ( leq(multiplication(X0,c(X1)),X2)
=> leq(X0,addition(X1,X2)) ) ) ).
fof(subgoal_0,plain,
! [X0,X1,X2] :
( ( test(X0)
& test(X1)
& test(X2)
& leq(multiplication(X0,c(X1)),X2) )
=> leq(X0,addition(X1,X2)) ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1,X2] :
( ( test(X0)
& test(X1)
& test(X2)
& leq(multiplication(X0,c(X1)),X2) )
=> leq(X0,addition(X1,X2)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(canonicalize,[],[order]) ).
fof(normalize_0_1,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A,B] :
( ( addition(A,B) != B
| leq(A,B) )
& ( ~ leq(A,B)
| addition(A,B) = B ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B] :
( addition(A,B) != B
| leq(A,B) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[additive_associativity]) ).
fof(normalize_0_5,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[additive_idempotence]) ).
fof(normalize_0_7,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_9,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
? [X0,X1,X2] :
( ~ leq(X0,addition(X1,X2))
& leq(multiplication(X0,c(X1)),X2)
& test(X0)
& test(X1)
& test(X2) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_11,plain,
( ~ leq(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2))
& leq(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X2)
& test(skolemFOFtoCNF_X0)
& test(skolemFOFtoCNF_X1_1)
& test(skolemFOFtoCNF_X2) ),
inference(skolemize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
test(skolemFOFtoCNF_X0),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X0] :
( ~ test(X0)
| ! [X1] :
( c(X0) != X1
<=> ~ complement(X0,X1) ) ),
inference(canonicalize,[],[test_3]) ).
fof(normalize_0_14,plain,
! [X0] :
( ~ test(X0)
| ! [X1] :
( c(X0) != X1
<=> ~ complement(X0,X1) ) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X0,X1] :
( ( c(X0) != X1
| ~ test(X0)
| complement(X0,X1) )
& ( ~ complement(X0,X1)
| ~ test(X0)
| c(X0) = X1 ) ),
inference(clausify,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X0,X1] :
( c(X0) != X1
| ~ test(X0)
| complement(X0,X1) ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,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_18,plain,
! [X0,X1] :
( ~ complement(X1,X0)
<=> ( addition(X0,X1) != one
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero ) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,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_18]) ).
fof(normalize_0_20,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_22,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_24,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_0_26,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [X0] :
( ~ test(X0)
<=> ! [X1] : ~ complement(X1,X0) ),
inference(canonicalize,[],[test_1]) ).
fof(normalize_0_28,plain,
! [X0] :
( ~ test(X0)
<=> ! [X1] : ~ complement(X1,X0) ),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [X0,X1] :
( ( ~ complement(X1,X0)
| test(X0) )
& ( ~ test(X0)
| complement(skolemFOFtoCNF_X1(X0),X0) ) ),
inference(clausify,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [X0] :
( ~ test(X0)
| complement(skolemFOFtoCNF_X1(X0),X0) ),
inference(conjunct,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| multiplication(X0,X1) = zero ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_32,plain,
! [A] : addition(A,zero) = A,
inference(canonicalize,[],[additive_identity]) ).
fof(normalize_0_33,plain,
! [A] : addition(A,zero) = A,
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
leq(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X2),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_35,plain,
! [A,B] :
( ~ leq(A,B)
| addition(A,B) = B ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_36,plain,
test(skolemFOFtoCNF_X1_1),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_37,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_38,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_37]) ).
fof(normalize_0_39,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[multiplicative_associativity]) ).
fof(normalize_0_40,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(specialize,[],[normalize_0_39]) ).
fof(normalize_0_41,plain,
test(skolemFOFtoCNF_X2),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_42,plain,
~ leq(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)),
inference(conjunct,[],[normalize_0_11]) ).
cnf(refute_0_0,plain,
( addition(A,B) != B
| leq(A,B) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( addition(X_43,addition(X_43,X_16)) != addition(X_43,X_16)
| leq(X_43,addition(X_43,X_16)) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(X_43)),bind(B,$fot(addition(X_43,X_16)))]]) ).
cnf(refute_0_2,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
addition(X_15,addition(X_15,X_16)) = addition(addition(X_15,X_15),X_16),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_15)),bind(B,$fot(X_15)),bind(C,$fot(X_16))]]) ).
cnf(refute_0_4,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_5,plain,
addition(X_15,X_15) = X_15,
inference(subst,[],[refute_0_4:[bind(A,$fot(X_15))]]) ).
cnf(refute_0_6,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_7,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( $equal(addition(X_15,X_15),X_15) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
addition(X_15,addition(X_15,X_16)) = addition(X_15,X_16),
inference(resolve,[$cnf( $equal(addition(X_15,addition(X_15,X_16)),addition(addition(X_15,X_15),X_16)) )],[refute_0_3,refute_0_7]) ).
cnf(refute_0_9,plain,
addition(X_43,addition(X_43,X_16)) = addition(X_43,X_16),
inference(subst,[],[refute_0_8:[bind(X_15,$fot(X_43))]]) ).
cnf(refute_0_10,plain,
( addition(X_43,X_16) != addition(X_43,X_16)
| addition(X_43,addition(X_43,X_16)) != addition(X_43,X_16)
| addition(X_43,addition(X_43,X_16)) = addition(X_43,X_16) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_43,addition(X_43,X_16)),addition(X_43,X_16)) ),[0,1],$fot(addition(X_43,X_16))]]) ).
cnf(refute_0_11,plain,
( addition(X_43,X_16) != addition(X_43,X_16)
| addition(X_43,addition(X_43,X_16)) = addition(X_43,X_16) ),
inference(resolve,[$cnf( $equal(addition(X_43,addition(X_43,X_16)),addition(X_43,X_16)) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( addition(X_43,X_16) != addition(X_43,X_16)
| leq(X_43,addition(X_43,X_16)) ),
inference(resolve,[$cnf( $equal(addition(X_43,addition(X_43,X_16)),addition(X_43,X_16)) )],[refute_0_11,refute_0_1]) ).
cnf(refute_0_13,plain,
addition(X_43,X_16) = addition(X_43,X_16),
introduced(tautology,[refl,[$fot(addition(X_43,X_16))]]) ).
cnf(refute_0_14,plain,
leq(X_43,addition(X_43,X_16)),
inference(resolve,[$cnf( $equal(addition(X_43,X_16),addition(X_43,X_16)) )],[refute_0_13,refute_0_12]) ).
cnf(refute_0_15,plain,
leq(multiplication(A,C),addition(multiplication(A,C),multiplication(B,C))),
inference(subst,[],[refute_0_14:[bind(X_16,$fot(multiplication(B,C))),bind(X_43,$fot(multiplication(A,C)))]]) ).
cnf(refute_0_16,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_17,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_18,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_19,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
( multiplication(addition(A,B),C) != addition(multiplication(A,C),multiplication(B,C))
| addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(multiplication(addition(A,B),C))),bind(Y,$fot(addition(multiplication(A,C),multiplication(B,C))))]]) ).
cnf(refute_0_21,plain,
addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C),
inference(resolve,[$cnf( $equal(multiplication(addition(A,B),C),addition(multiplication(A,C),multiplication(B,C))) )],[refute_0_16,refute_0_20]) ).
cnf(refute_0_22,plain,
( addition(multiplication(A,C),multiplication(B,C)) != multiplication(addition(A,B),C)
| ~ leq(multiplication(A,C),addition(multiplication(A,C),multiplication(B,C)))
| leq(multiplication(A,C),multiplication(addition(A,B),C)) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(A,C),addition(multiplication(A,C),multiplication(B,C))) ),[1],$fot(multiplication(addition(A,B),C))]]) ).
cnf(refute_0_23,plain,
( ~ leq(multiplication(A,C),addition(multiplication(A,C),multiplication(B,C)))
| leq(multiplication(A,C),multiplication(addition(A,B),C)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,C),multiplication(B,C)),multiplication(addition(A,B),C)) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
leq(multiplication(A,C),multiplication(addition(A,B),C)),
inference(resolve,[$cnf( leq(multiplication(A,C),addition(multiplication(A,C),multiplication(B,C))) )],[refute_0_15,refute_0_23]) ).
cnf(refute_0_25,plain,
leq(multiplication(skolemFOFtoCNF_X0,X_721),multiplication(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),X_721)),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(c(skolemFOFtoCNF_X0))),bind(C,$fot(X_721))]]) ).
cnf(refute_0_26,plain,
test(skolemFOFtoCNF_X0),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_27,plain,
( c(X0) != X1
| ~ test(X0)
| complement(X0,X1) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_28,plain,
( c(X0) != c(X0)
| ~ test(X0)
| complement(X0,c(X0)) ),
inference(subst,[],[refute_0_27:[bind(X1,$fot(c(X0)))]]) ).
cnf(refute_0_29,plain,
c(X0) = c(X0),
introduced(tautology,[refl,[$fot(c(X0))]]) ).
cnf(refute_0_30,plain,
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(resolve,[$cnf( $equal(c(X0),c(X0)) )],[refute_0_29,refute_0_28]) ).
cnf(refute_0_31,plain,
( ~ test(skolemFOFtoCNF_X0)
| complement(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_30:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_32,plain,
complement(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( test(skolemFOFtoCNF_X0) )],[refute_0_26,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_34,plain,
( ~ complement(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))
| addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = one ),
inference(subst,[],[refute_0_33:[bind(X0,$fot(c(skolemFOFtoCNF_X0))),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_35,plain,
addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = one,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) )],[refute_0_32,refute_0_34]) ).
cnf(refute_0_36,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_37,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_38,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(c(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_40,plain,
( addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))
| addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != one
| addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one) ),[0],$fot(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_41,plain,
( addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != one
| addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) = one ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) = one,
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one) )],[refute_0_35,refute_0_41]) ).
cnf(refute_0_43,plain,
( addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) != one
| ~ leq(multiplication(skolemFOFtoCNF_X0,X_721),multiplication(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),X_721))
| leq(multiplication(skolemFOFtoCNF_X0,X_721),multiplication(one,X_721)) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(skolemFOFtoCNF_X0,X_721),multiplication(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),X_721)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_44,plain,
( ~ leq(multiplication(skolemFOFtoCNF_X0,X_721),multiplication(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),X_721))
| leq(multiplication(skolemFOFtoCNF_X0,X_721),multiplication(one,X_721)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),one) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
leq(multiplication(skolemFOFtoCNF_X0,X_721),multiplication(one,X_721)),
inference(resolve,[$cnf( leq(multiplication(skolemFOFtoCNF_X0,X_721),multiplication(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),X_721)) )],[refute_0_25,refute_0_44]) ).
cnf(refute_0_46,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_47,plain,
multiplication(one,X_721) = X_721,
inference(subst,[],[refute_0_46:[bind(A,$fot(X_721))]]) ).
cnf(refute_0_48,plain,
( multiplication(one,X_721) != X_721
| ~ leq(multiplication(skolemFOFtoCNF_X0,X_721),multiplication(one,X_721))
| leq(multiplication(skolemFOFtoCNF_X0,X_721),X_721) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(skolemFOFtoCNF_X0,X_721),multiplication(one,X_721)) ),[1],$fot(X_721)]]) ).
cnf(refute_0_49,plain,
( ~ leq(multiplication(skolemFOFtoCNF_X0,X_721),multiplication(one,X_721))
| leq(multiplication(skolemFOFtoCNF_X0,X_721),X_721) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_721),X_721) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
leq(multiplication(skolemFOFtoCNF_X0,X_721),X_721),
inference(resolve,[$cnf( leq(multiplication(skolemFOFtoCNF_X0,X_721),multiplication(one,X_721)) )],[refute_0_45,refute_0_49]) ).
cnf(refute_0_51,plain,
leq(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)),addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_50:[bind(X_721,$fot(addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_52,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_53,plain,
multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),C)) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,C)),
inference(subst,[],[refute_0_52:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_54,plain,
( ~ test(X0)
| complement(skolemFOFtoCNF_X1(X0),X0) ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_55,plain,
( ~ test(skolemFOFtoCNF_X0)
| complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_56,plain,
complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( test(skolemFOFtoCNF_X0) )],[refute_0_26,refute_0_55]) ).
cnf(refute_0_57,plain,
( ~ complement(X1,X0)
| multiplication(X0,X1) = zero ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_58,plain,
( ~ complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
| multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)) = zero ),
inference(subst,[],[refute_0_57:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_59,plain,
multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)) = zero,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_56,refute_0_58]) ).
cnf(refute_0_60,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_61,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( $equal(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)),zero) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),C)) = addition(zero,multiplication(skolemFOFtoCNF_X0,C)),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),C)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,C))) )],[refute_0_53,refute_0_61]) ).
cnf(refute_0_63,plain,
addition(A,zero) = A,
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_64,plain,
addition(A,zero) = addition(zero,A),
inference(subst,[],[refute_0_36:[bind(B,$fot(zero))]]) ).
cnf(refute_0_65,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_66,plain,
( addition(A,zero) != A
| addition(zero,A) = A ),
inference(resolve,[$cnf( $equal(addition(A,zero),addition(zero,A)) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
addition(zero,A) = A,
inference(resolve,[$cnf( $equal(addition(A,zero),A) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
addition(zero,multiplication(skolemFOFtoCNF_X0,C)) = multiplication(skolemFOFtoCNF_X0,C),
inference(subst,[],[refute_0_67:[bind(A,$fot(multiplication(skolemFOFtoCNF_X0,C)))]]) ).
cnf(refute_0_69,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_70,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( $equal(addition(zero,multiplication(skolemFOFtoCNF_X0,C)),multiplication(skolemFOFtoCNF_X0,C)) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),C)) = multiplication(skolemFOFtoCNF_X0,C),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),C)),addition(zero,multiplication(skolemFOFtoCNF_X0,C))) )],[refute_0_62,refute_0_70]) ).
cnf(refute_0_72,plain,
multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X2,C))) = multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X2,C)),
inference(subst,[],[refute_0_71:[bind(C,$fot(addition(skolemFOFtoCNF_X2,C)))]]) ).
cnf(refute_0_73,plain,
addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)) = addition(addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61)),C),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_X2)),bind(B,$fot(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61)))]]) ).
cnf(refute_0_74,plain,
addition(A,addition(B,addition(X_26,B))) = addition(addition(A,B),addition(X_26,B)),
inference(subst,[],[refute_0_2:[bind(C,$fot(addition(X_26,B)))]]) ).
cnf(refute_0_75,plain,
addition(addition(X_15,X_16),addition(X_15,X_16)) = addition(addition(addition(X_15,X_16),X_15),X_16),
inference(subst,[],[refute_0_2:[bind(A,$fot(addition(X_15,X_16))),bind(B,$fot(X_15)),bind(C,$fot(X_16))]]) ).
cnf(refute_0_76,plain,
addition(addition(X_15,X_16),addition(X_15,X_16)) = addition(X_15,X_16),
inference(subst,[],[refute_0_4:[bind(A,$fot(addition(X_15,X_16)))]]) ).
cnf(refute_0_77,plain,
( addition(addition(X_15,X_16),addition(X_15,X_16)) != addition(X_15,X_16)
| addition(addition(X_15,X_16),addition(X_15,X_16)) != addition(addition(addition(X_15,X_16),X_15),X_16)
| addition(X_15,X_16) = addition(addition(addition(X_15,X_16),X_15),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_15,X_16),addition(X_15,X_16)),addition(addition(addition(X_15,X_16),X_15),X_16)) ),[0],$fot(addition(X_15,X_16))]]) ).
cnf(refute_0_78,plain,
( addition(addition(X_15,X_16),addition(X_15,X_16)) != addition(addition(addition(X_15,X_16),X_15),X_16)
| addition(X_15,X_16) = addition(addition(addition(X_15,X_16),X_15),X_16) ),
inference(resolve,[$cnf( $equal(addition(addition(X_15,X_16),addition(X_15,X_16)),addition(X_15,X_16)) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
addition(X_15,X_16) = addition(addition(addition(X_15,X_16),X_15),X_16),
inference(resolve,[$cnf( $equal(addition(addition(X_15,X_16),addition(X_15,X_16)),addition(addition(addition(X_15,X_16),X_15),X_16)) )],[refute_0_75,refute_0_78]) ).
cnf(refute_0_80,plain,
addition(X_14,addition(X_15,X_16)) = addition(addition(X_14,X_15),X_16),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_14)),bind(B,$fot(X_15)),bind(C,$fot(X_16))]]) ).
cnf(refute_0_81,plain,
addition(X_16,X_15) = addition(X_15,X_16),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_16)),bind(B,$fot(X_15))]]) ).
cnf(refute_0_82,plain,
( addition(X_16,X_15) != addition(X_15,X_16)
| addition(X_15,X_16) = addition(X_16,X_15) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(addition(X_16,X_15))),bind(Y,$fot(addition(X_15,X_16)))]]) ).
cnf(refute_0_83,plain,
addition(X_15,X_16) = addition(X_16,X_15),
inference(resolve,[$cnf( $equal(addition(X_16,X_15),addition(X_15,X_16)) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
( addition(X_14,addition(X_15,X_16)) != addition(addition(X_14,X_15),X_16)
| addition(X_15,X_16) != addition(X_16,X_15)
| addition(X_14,addition(X_16,X_15)) = addition(addition(X_14,X_15),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_14,addition(X_15,X_16)),addition(addition(X_14,X_15),X_16)) ),[0,1],$fot(addition(X_16,X_15))]]) ).
cnf(refute_0_85,plain,
( addition(X_14,addition(X_15,X_16)) != addition(addition(X_14,X_15),X_16)
| addition(X_14,addition(X_16,X_15)) = addition(addition(X_14,X_15),X_16) ),
inference(resolve,[$cnf( $equal(addition(X_15,X_16),addition(X_16,X_15)) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
addition(X_14,addition(X_16,X_15)) = addition(addition(X_14,X_15),X_16),
inference(resolve,[$cnf( $equal(addition(X_14,addition(X_15,X_16)),addition(addition(X_14,X_15),X_16)) )],[refute_0_80,refute_0_85]) ).
cnf(refute_0_87,plain,
( addition(A,addition(B,C)) != addition(addition(A,B),C)
| addition(addition(A,B),C) = addition(A,addition(B,C)) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(addition(A,addition(B,C)))),bind(Y,$fot(addition(addition(A,B),C)))]]) ).
cnf(refute_0_88,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,C)),addition(addition(A,B),C)) )],[refute_0_2,refute_0_87]) ).
cnf(refute_0_89,plain,
addition(addition(X_14,X_15),X_16) = addition(X_14,addition(X_15,X_16)),
inference(subst,[],[refute_0_88:[bind(A,$fot(X_14)),bind(B,$fot(X_15)),bind(C,$fot(X_16))]]) ).
cnf(refute_0_90,plain,
( addition(X_14,addition(X_16,X_15)) != addition(addition(X_14,X_15),X_16)
| addition(addition(X_14,X_15),X_16) != addition(X_14,addition(X_15,X_16))
| addition(X_14,addition(X_16,X_15)) = addition(X_14,addition(X_15,X_16)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_14,addition(X_16,X_15)),addition(X_14,addition(X_15,X_16))) ),[0],$fot(addition(addition(X_14,X_15),X_16))]]) ).
cnf(refute_0_91,plain,
( addition(X_14,addition(X_16,X_15)) != addition(addition(X_14,X_15),X_16)
| addition(X_14,addition(X_16,X_15)) = addition(X_14,addition(X_15,X_16)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_14,X_15),X_16),addition(X_14,addition(X_15,X_16))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
addition(X_14,addition(X_16,X_15)) = addition(X_14,addition(X_15,X_16)),
inference(resolve,[$cnf( $equal(addition(X_14,addition(X_16,X_15)),addition(addition(X_14,X_15),X_16)) )],[refute_0_86,refute_0_91]) ).
cnf(refute_0_93,plain,
( addition(X_14,addition(X_16,X_15)) != addition(X_14,addition(X_15,X_16))
| addition(X_14,addition(X_15,X_16)) = addition(X_14,addition(X_16,X_15)) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(addition(X_14,addition(X_16,X_15)))),bind(Y,$fot(addition(X_14,addition(X_15,X_16))))]]) ).
cnf(refute_0_94,plain,
addition(X_14,addition(X_15,X_16)) = addition(X_14,addition(X_16,X_15)),
inference(resolve,[$cnf( $equal(addition(X_14,addition(X_16,X_15)),addition(X_14,addition(X_15,X_16))) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
addition(X_16,addition(addition(X_15,X_16),X_15)) = addition(X_16,addition(X_15,addition(X_15,X_16))),
inference(subst,[],[refute_0_94:[bind(X_14,$fot(X_16)),bind(X_15,$fot(addition(X_15,X_16))),bind(X_16,$fot(X_15))]]) ).
cnf(refute_0_96,plain,
addition(A,addition(X_14,X_15)) = addition(addition(X_14,X_15),A),
inference(subst,[],[refute_0_36:[bind(B,$fot(addition(X_14,X_15)))]]) ).
cnf(refute_0_97,plain,
addition(X_14,addition(X_15,A)) = addition(addition(X_14,X_15),A),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_14)),bind(B,$fot(X_15)),bind(C,$fot(A))]]) ).
cnf(refute_0_98,plain,
( addition(X_14,addition(X_15,A)) != addition(addition(X_14,X_15),A)
| addition(addition(X_14,X_15),A) = addition(X_14,addition(X_15,A)) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(addition(X_14,addition(X_15,A)))),bind(Y,$fot(addition(addition(X_14,X_15),A)))]]) ).
cnf(refute_0_99,plain,
addition(addition(X_14,X_15),A) = addition(X_14,addition(X_15,A)),
inference(resolve,[$cnf( $equal(addition(X_14,addition(X_15,A)),addition(addition(X_14,X_15),A)) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
( addition(A,addition(X_14,X_15)) != addition(addition(X_14,X_15),A)
| addition(addition(X_14,X_15),A) != addition(X_14,addition(X_15,A))
| addition(A,addition(X_14,X_15)) = addition(X_14,addition(X_15,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_14,X_15)),addition(X_14,addition(X_15,A))) ),[0],$fot(addition(addition(X_14,X_15),A))]]) ).
cnf(refute_0_101,plain,
( addition(A,addition(X_14,X_15)) != addition(addition(X_14,X_15),A)
| addition(A,addition(X_14,X_15)) = addition(X_14,addition(X_15,A)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_14,X_15),A),addition(X_14,addition(X_15,A))) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
addition(A,addition(X_14,X_15)) = addition(X_14,addition(X_15,A)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_14,X_15)),addition(addition(X_14,X_15),A)) )],[refute_0_96,refute_0_101]) ).
cnf(refute_0_103,plain,
( addition(A,addition(X_14,X_15)) != addition(X_14,addition(X_15,A))
| addition(X_14,addition(X_15,A)) = addition(A,addition(X_14,X_15)) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(addition(A,addition(X_14,X_15)))),bind(Y,$fot(addition(X_14,addition(X_15,A))))]]) ).
cnf(refute_0_104,plain,
addition(X_14,addition(X_15,A)) = addition(A,addition(X_14,X_15)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_14,X_15)),addition(X_14,addition(X_15,A))) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
addition(addition(X_15,X_16),addition(X_15,X_16)) = addition(X_16,addition(addition(X_15,X_16),X_15)),
inference(subst,[],[refute_0_104:[bind(A,$fot(X_16)),bind(X_14,$fot(addition(X_15,X_16)))]]) ).
cnf(refute_0_106,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_107,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_19,refute_0_106]) ).
cnf(refute_0_108,plain,
( addition(X_16,addition(addition(X_15,X_16),X_15)) != addition(X_16,addition(X_15,addition(X_15,X_16)))
| addition(addition(X_15,X_16),addition(X_15,X_16)) != addition(X_16,addition(addition(X_15,X_16),X_15))
| addition(addition(X_15,X_16),addition(X_15,X_16)) = addition(X_16,addition(X_15,addition(X_15,X_16))) ),
inference(subst,[],[refute_0_107:[bind(X,$fot(addition(addition(X_15,X_16),addition(X_15,X_16)))),bind(Y,$fot(addition(X_16,addition(addition(X_15,X_16),X_15)))),bind(Z,$fot(addition(X_16,addition(X_15,addition(X_15,X_16)))))]]) ).
cnf(refute_0_109,plain,
( addition(X_16,addition(addition(X_15,X_16),X_15)) != addition(X_16,addition(X_15,addition(X_15,X_16)))
| addition(addition(X_15,X_16),addition(X_15,X_16)) = addition(X_16,addition(X_15,addition(X_15,X_16))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_15,X_16),addition(X_15,X_16)),addition(X_16,addition(addition(X_15,X_16),X_15))) )],[refute_0_105,refute_0_108]) ).
cnf(refute_0_110,plain,
addition(addition(X_15,X_16),addition(X_15,X_16)) = addition(X_16,addition(X_15,addition(X_15,X_16))),
inference(resolve,[$cnf( $equal(addition(X_16,addition(addition(X_15,X_16),X_15)),addition(X_16,addition(X_15,addition(X_15,X_16)))) )],[refute_0_95,refute_0_109]) ).
cnf(refute_0_111,plain,
addition(addition(addition(X_15,X_16),X_15),X_16) = addition(addition(X_15,X_16),addition(X_15,X_16)),
inference(subst,[],[refute_0_88:[bind(A,$fot(addition(X_15,X_16))),bind(B,$fot(X_15)),bind(C,$fot(X_16))]]) ).
cnf(refute_0_112,plain,
( addition(addition(X_15,X_16),addition(X_15,X_16)) != addition(X_16,addition(X_15,addition(X_15,X_16)))
| addition(addition(addition(X_15,X_16),X_15),X_16) != addition(addition(X_15,X_16),addition(X_15,X_16))
| addition(addition(addition(X_15,X_16),X_15),X_16) = addition(X_16,addition(X_15,addition(X_15,X_16))) ),
inference(subst,[],[refute_0_107:[bind(X,$fot(addition(addition(addition(X_15,X_16),X_15),X_16))),bind(Y,$fot(addition(addition(X_15,X_16),addition(X_15,X_16)))),bind(Z,$fot(addition(X_16,addition(X_15,addition(X_15,X_16)))))]]) ).
cnf(refute_0_113,plain,
( addition(addition(X_15,X_16),addition(X_15,X_16)) != addition(X_16,addition(X_15,addition(X_15,X_16)))
| addition(addition(addition(X_15,X_16),X_15),X_16) = addition(X_16,addition(X_15,addition(X_15,X_16))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_15,X_16),X_15),X_16),addition(addition(X_15,X_16),addition(X_15,X_16))) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
addition(addition(addition(X_15,X_16),X_15),X_16) = addition(X_16,addition(X_15,addition(X_15,X_16))),
inference(resolve,[$cnf( $equal(addition(addition(X_15,X_16),addition(X_15,X_16)),addition(X_16,addition(X_15,addition(X_15,X_16)))) )],[refute_0_110,refute_0_113]) ).
cnf(refute_0_115,plain,
( addition(X_15,X_16) != addition(addition(addition(X_15,X_16),X_15),X_16)
| addition(addition(addition(X_15,X_16),X_15),X_16) != addition(X_16,addition(X_15,addition(X_15,X_16)))
| addition(X_15,X_16) = addition(X_16,addition(X_15,addition(X_15,X_16))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_15,X_16),addition(X_16,addition(X_15,addition(X_15,X_16)))) ),[0],$fot(addition(addition(addition(X_15,X_16),X_15),X_16))]]) ).
cnf(refute_0_116,plain,
( addition(X_15,X_16) != addition(addition(addition(X_15,X_16),X_15),X_16)
| addition(X_15,X_16) = addition(X_16,addition(X_15,addition(X_15,X_16))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_15,X_16),X_15),X_16),addition(X_16,addition(X_15,addition(X_15,X_16)))) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
addition(X_15,X_16) = addition(X_16,addition(X_15,addition(X_15,X_16))),
inference(resolve,[$cnf( $equal(addition(X_15,X_16),addition(addition(addition(X_15,X_16),X_15),X_16)) )],[refute_0_79,refute_0_116]) ).
cnf(refute_0_118,plain,
addition(X_16,addition(X_15,addition(X_15,X_16))) = addition(X_16,addition(X_15,addition(X_15,X_16))),
introduced(tautology,[refl,[$fot(addition(X_16,addition(X_15,addition(X_15,X_16))))]]) ).
cnf(refute_0_119,plain,
( addition(X_15,addition(X_15,X_16)) != addition(X_15,X_16)
| addition(X_16,addition(X_15,addition(X_15,X_16))) != addition(X_16,addition(X_15,addition(X_15,X_16)))
| addition(X_16,addition(X_15,addition(X_15,X_16))) = addition(X_16,addition(X_15,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_16,addition(X_15,addition(X_15,X_16))),addition(X_16,addition(X_15,addition(X_15,X_16)))) ),[1,1],$fot(addition(X_15,X_16))]]) ).
cnf(refute_0_120,plain,
( addition(X_15,addition(X_15,X_16)) != addition(X_15,X_16)
| addition(X_16,addition(X_15,addition(X_15,X_16))) = addition(X_16,addition(X_15,X_16)) ),
inference(resolve,[$cnf( $equal(addition(X_16,addition(X_15,addition(X_15,X_16))),addition(X_16,addition(X_15,addition(X_15,X_16)))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
addition(X_16,addition(X_15,addition(X_15,X_16))) = addition(X_16,addition(X_15,X_16)),
inference(resolve,[$cnf( $equal(addition(X_15,addition(X_15,X_16)),addition(X_15,X_16)) )],[refute_0_8,refute_0_120]) ).
cnf(refute_0_122,plain,
( addition(X_15,X_16) != addition(X_16,addition(X_15,addition(X_15,X_16)))
| addition(X_16,addition(X_15,addition(X_15,X_16))) != addition(X_16,addition(X_15,X_16))
| addition(X_15,X_16) = addition(X_16,addition(X_15,X_16)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_15,X_16),addition(X_16,addition(X_15,X_16))) ),[0],$fot(addition(X_16,addition(X_15,addition(X_15,X_16))))]]) ).
cnf(refute_0_123,plain,
( addition(X_15,X_16) != addition(X_16,addition(X_15,addition(X_15,X_16)))
| addition(X_15,X_16) = addition(X_16,addition(X_15,X_16)) ),
inference(resolve,[$cnf( $equal(addition(X_16,addition(X_15,addition(X_15,X_16))),addition(X_16,addition(X_15,X_16))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
addition(X_15,X_16) = addition(X_16,addition(X_15,X_16)),
inference(resolve,[$cnf( $equal(addition(X_15,X_16),addition(X_16,addition(X_15,addition(X_15,X_16)))) )],[refute_0_117,refute_0_123]) ).
cnf(refute_0_125,plain,
addition(X_26,B) = addition(B,addition(X_26,B)),
inference(subst,[],[refute_0_124:[bind(X_15,$fot(X_26)),bind(X_16,$fot(B))]]) ).
cnf(refute_0_126,plain,
( addition(X_26,B) != addition(B,addition(X_26,B))
| addition(B,addition(X_26,B)) = addition(X_26,B) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(addition(X_26,B))),bind(Y,$fot(addition(B,addition(X_26,B))))]]) ).
cnf(refute_0_127,plain,
addition(B,addition(X_26,B)) = addition(X_26,B),
inference(resolve,[$cnf( $equal(addition(X_26,B),addition(B,addition(X_26,B))) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
( addition(A,addition(B,addition(X_26,B))) != addition(addition(A,B),addition(X_26,B))
| addition(B,addition(X_26,B)) != addition(X_26,B)
| addition(A,addition(X_26,B)) = addition(addition(A,B),addition(X_26,B)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(B,addition(X_26,B))),addition(addition(A,B),addition(X_26,B))) ),[0,1],$fot(addition(X_26,B))]]) ).
cnf(refute_0_129,plain,
( addition(A,addition(B,addition(X_26,B))) != addition(addition(A,B),addition(X_26,B))
| addition(A,addition(X_26,B)) = addition(addition(A,B),addition(X_26,B)) ),
inference(resolve,[$cnf( $equal(addition(B,addition(X_26,B)),addition(X_26,B)) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
addition(A,addition(X_26,B)) = addition(addition(A,B),addition(X_26,B)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,addition(X_26,B))),addition(addition(A,B),addition(X_26,B))) )],[refute_0_74,refute_0_129]) ).
cnf(refute_0_131,plain,
addition(X_15,addition(X_15,addition(X_23,X_24))) = addition(X_15,addition(X_23,X_24)),
inference(subst,[],[refute_0_8:[bind(X_16,$fot(addition(X_23,X_24)))]]) ).
cnf(refute_0_132,plain,
addition(X_15,addition(X_23,X_24)) = addition(X_23,addition(X_24,X_15)),
inference(subst,[],[refute_0_102:[bind(A,$fot(X_15)),bind(X_14,$fot(X_23)),bind(X_15,$fot(X_24))]]) ).
cnf(refute_0_133,plain,
( addition(X_15,addition(X_15,addition(X_23,X_24))) != addition(X_15,addition(X_23,X_24))
| addition(X_15,addition(X_23,X_24)) != addition(X_23,addition(X_24,X_15))
| addition(X_15,addition(X_23,addition(X_24,X_15))) = addition(X_15,addition(X_23,X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_15,addition(X_15,addition(X_23,X_24))),addition(X_15,addition(X_23,X_24))) ),[0,1],$fot(addition(X_23,addition(X_24,X_15)))]]) ).
cnf(refute_0_134,plain,
( addition(X_15,addition(X_15,addition(X_23,X_24))) != addition(X_15,addition(X_23,X_24))
| addition(X_15,addition(X_23,addition(X_24,X_15))) = addition(X_15,addition(X_23,X_24)) ),
inference(resolve,[$cnf( $equal(addition(X_15,addition(X_23,X_24)),addition(X_23,addition(X_24,X_15))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
addition(X_15,addition(X_23,addition(X_24,X_15))) = addition(X_15,addition(X_23,X_24)),
inference(resolve,[$cnf( $equal(addition(X_15,addition(X_15,addition(X_23,X_24))),addition(X_15,addition(X_23,X_24))) )],[refute_0_131,refute_0_134]) ).
cnf(refute_0_136,plain,
addition(B,addition(X_26,addition(A,B))) = addition(B,addition(X_26,A)),
inference(subst,[],[refute_0_135:[bind(X_15,$fot(B)),bind(X_23,$fot(X_26)),bind(X_24,$fot(A))]]) ).
cnf(refute_0_137,plain,
addition(X_22,addition(X_23,X_24)) = addition(X_23,addition(X_24,X_22)),
inference(subst,[],[refute_0_102:[bind(A,$fot(X_22)),bind(X_14,$fot(X_23)),bind(X_15,$fot(X_24))]]) ).
cnf(refute_0_138,plain,
addition(X_24,X_23) = addition(X_23,X_24),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_24)),bind(B,$fot(X_23))]]) ).
cnf(refute_0_139,plain,
( addition(X_24,X_23) != addition(X_23,X_24)
| addition(X_23,X_24) = addition(X_24,X_23) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(addition(X_24,X_23))),bind(Y,$fot(addition(X_23,X_24)))]]) ).
cnf(refute_0_140,plain,
addition(X_23,X_24) = addition(X_24,X_23),
inference(resolve,[$cnf( $equal(addition(X_24,X_23),addition(X_23,X_24)) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
( addition(X_22,addition(X_23,X_24)) != addition(X_23,addition(X_24,X_22))
| addition(X_23,X_24) != addition(X_24,X_23)
| addition(X_22,addition(X_24,X_23)) = addition(X_23,addition(X_24,X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_22,addition(X_23,X_24)),addition(X_23,addition(X_24,X_22))) ),[0,1],$fot(addition(X_24,X_23))]]) ).
cnf(refute_0_142,plain,
( addition(X_22,addition(X_23,X_24)) != addition(X_23,addition(X_24,X_22))
| addition(X_22,addition(X_24,X_23)) = addition(X_23,addition(X_24,X_22)) ),
inference(resolve,[$cnf( $equal(addition(X_23,X_24),addition(X_24,X_23)) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
addition(X_22,addition(X_24,X_23)) = addition(X_23,addition(X_24,X_22)),
inference(resolve,[$cnf( $equal(addition(X_22,addition(X_23,X_24)),addition(X_23,addition(X_24,X_22))) )],[refute_0_137,refute_0_142]) ).
cnf(refute_0_144,plain,
( addition(X_22,addition(X_24,X_23)) != addition(X_23,addition(X_24,X_22))
| addition(X_23,addition(X_24,X_22)) = addition(X_22,addition(X_24,X_23)) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(addition(X_22,addition(X_24,X_23)))),bind(Y,$fot(addition(X_23,addition(X_24,X_22))))]]) ).
cnf(refute_0_145,plain,
addition(X_23,addition(X_24,X_22)) = addition(X_22,addition(X_24,X_23)),
inference(resolve,[$cnf( $equal(addition(X_22,addition(X_24,X_23)),addition(X_23,addition(X_24,X_22))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
addition(addition(A,B),addition(X_26,B)) = addition(B,addition(X_26,addition(A,B))),
inference(subst,[],[refute_0_145:[bind(X_22,$fot(B)),bind(X_23,$fot(addition(A,B))),bind(X_24,$fot(X_26))]]) ).
cnf(refute_0_147,plain,
( addition(B,addition(X_26,addition(A,B))) != addition(B,addition(X_26,A))
| addition(addition(A,B),addition(X_26,B)) != addition(B,addition(X_26,addition(A,B)))
| addition(addition(A,B),addition(X_26,B)) = addition(B,addition(X_26,A)) ),
inference(subst,[],[refute_0_107:[bind(X,$fot(addition(addition(A,B),addition(X_26,B)))),bind(Y,$fot(addition(B,addition(X_26,addition(A,B))))),bind(Z,$fot(addition(B,addition(X_26,A))))]]) ).
cnf(refute_0_148,plain,
( addition(B,addition(X_26,addition(A,B))) != addition(B,addition(X_26,A))
| addition(addition(A,B),addition(X_26,B)) = addition(B,addition(X_26,A)) ),
inference(resolve,[$cnf( $equal(addition(addition(A,B),addition(X_26,B)),addition(B,addition(X_26,addition(A,B)))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
addition(addition(A,B),addition(X_26,B)) = addition(B,addition(X_26,A)),
inference(resolve,[$cnf( $equal(addition(B,addition(X_26,addition(A,B))),addition(B,addition(X_26,A))) )],[refute_0_136,refute_0_148]) ).
cnf(refute_0_150,plain,
( addition(A,addition(X_26,B)) != addition(addition(A,B),addition(X_26,B))
| addition(addition(A,B),addition(X_26,B)) != addition(B,addition(X_26,A))
| addition(A,addition(X_26,B)) = addition(B,addition(X_26,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_26,B)),addition(B,addition(X_26,A))) ),[0],$fot(addition(addition(A,B),addition(X_26,B)))]]) ).
cnf(refute_0_151,plain,
( addition(A,addition(X_26,B)) != addition(addition(A,B),addition(X_26,B))
| addition(A,addition(X_26,B)) = addition(B,addition(X_26,A)) ),
inference(resolve,[$cnf( $equal(addition(addition(A,B),addition(X_26,B)),addition(B,addition(X_26,A))) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
addition(A,addition(X_26,B)) = addition(B,addition(X_26,A)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_26,B)),addition(addition(A,B),addition(X_26,B))) )],[refute_0_130,refute_0_151]) ).
cnf(refute_0_153,plain,
addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,B)) = addition(B,addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))),
inference(subst,[],[refute_0_152:[bind(A,$fot(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))),bind(X_26,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_154,plain,
leq(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X2),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_155,plain,
( ~ leq(A,B)
| addition(A,B) = B ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_156,plain,
( ~ leq(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X2)
| addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X2) = skolemFOFtoCNF_X2 ),
inference(subst,[],[refute_0_155:[bind(A,$fot(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))),bind(B,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_157,plain,
addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X2) = skolemFOFtoCNF_X2,
inference(resolve,[$cnf( leq(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X2) )],[refute_0_154,refute_0_156]) ).
cnf(refute_0_158,plain,
addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X2) = addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_X2)),bind(B,$fot(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_159,plain,
( addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X2) != addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))
| addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X2) != skolemFOFtoCNF_X2
| addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))) = skolemFOFtoCNF_X2 ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X2),skolemFOFtoCNF_X2) ),[0],$fot(addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_160,plain,
( addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X2) != skolemFOFtoCNF_X2
| addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))) = skolemFOFtoCNF_X2 ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X2),addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))) = skolemFOFtoCNF_X2,
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X2),skolemFOFtoCNF_X2) )],[refute_0_157,refute_0_160]) ).
cnf(refute_0_162,plain,
( addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,B)) != addition(B,addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))))
| addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))) != skolemFOFtoCNF_X2
| addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,B)) = addition(B,skolemFOFtoCNF_X2) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,B)),addition(B,addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))))) ),[1,1],$fot(skolemFOFtoCNF_X2)]]) ).
cnf(refute_0_163,plain,
( addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,B)) != addition(B,addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))))
| addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,B)) = addition(B,skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),skolemFOFtoCNF_X2) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,B)) = addition(B,skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,B)),addition(B,addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))))) )],[refute_0_153,refute_0_163]) ).
cnf(refute_0_165,plain,
addition(addition(X_30,X_29),B) = addition(B,addition(X_30,X_29)),
inference(subst,[],[refute_0_36:[bind(A,$fot(addition(X_30,X_29)))]]) ).
cnf(refute_0_166,plain,
addition(B,addition(X_30,X_29)) = addition(X_29,addition(X_30,B)),
inference(subst,[],[refute_0_152:[bind(A,$fot(B)),bind(B,$fot(X_29)),bind(X_26,$fot(X_30))]]) ).
cnf(refute_0_167,plain,
( addition(B,addition(X_30,X_29)) != addition(X_29,addition(X_30,B))
| addition(addition(X_30,X_29),B) != addition(B,addition(X_30,X_29))
| addition(addition(X_30,X_29),B) = addition(X_29,addition(X_30,B)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_30,X_29),B),addition(B,addition(X_30,X_29))) ),[1],$fot(addition(X_29,addition(X_30,B)))]]) ).
cnf(refute_0_168,plain,
( addition(addition(X_30,X_29),B) != addition(B,addition(X_30,X_29))
| addition(addition(X_30,X_29),B) = addition(X_29,addition(X_30,B)) ),
inference(resolve,[$cnf( $equal(addition(B,addition(X_30,X_29)),addition(X_29,addition(X_30,B))) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
addition(addition(X_30,X_29),B) = addition(X_29,addition(X_30,B)),
inference(resolve,[$cnf( $equal(addition(addition(X_30,X_29),B),addition(B,addition(X_30,X_29))) )],[refute_0_165,refute_0_168]) ).
cnf(refute_0_170,plain,
addition(addition(X_30,X_29),B) = addition(X_30,addition(X_29,B)),
inference(subst,[],[refute_0_88:[bind(A,$fot(X_30)),bind(B,$fot(X_29)),bind(C,$fot(B))]]) ).
cnf(refute_0_171,plain,
( addition(addition(X_30,X_29),B) != addition(X_29,addition(X_30,B))
| addition(addition(X_30,X_29),B) != addition(X_30,addition(X_29,B))
| addition(X_30,addition(X_29,B)) = addition(X_29,addition(X_30,B)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_30,X_29),B),addition(X_29,addition(X_30,B))) ),[0],$fot(addition(X_30,addition(X_29,B)))]]) ).
cnf(refute_0_172,plain,
( addition(addition(X_30,X_29),B) != addition(X_29,addition(X_30,B))
| addition(X_30,addition(X_29,B)) = addition(X_29,addition(X_30,B)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_30,X_29),B),addition(X_30,addition(X_29,B))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
addition(X_30,addition(X_29,B)) = addition(X_29,addition(X_30,B)),
inference(resolve,[$cnf( $equal(addition(addition(X_30,X_29),B),addition(X_29,addition(X_30,B))) )],[refute_0_169,refute_0_172]) ).
cnf(refute_0_174,plain,
( addition(X_30,addition(X_29,B)) != addition(X_29,addition(X_30,B))
| addition(X_29,addition(X_30,B)) = addition(X_30,addition(X_29,B)) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(addition(X_30,addition(X_29,B)))),bind(Y,$fot(addition(X_29,addition(X_30,B))))]]) ).
cnf(refute_0_175,plain,
addition(X_29,addition(X_30,B)) = addition(X_30,addition(X_29,B)),
inference(resolve,[$cnf( $equal(addition(X_30,addition(X_29,B)),addition(X_29,addition(X_30,B))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,B)) = addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B)),
inference(subst,[],[refute_0_175:[bind(X_29,$fot(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))),bind(X_30,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_177,plain,
( addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,B)) != addition(B,skolemFOFtoCNF_X2)
| addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,B)) != addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B))
| addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B)) = addition(B,skolemFOFtoCNF_X2) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,B)),addition(B,skolemFOFtoCNF_X2)) ),[0],$fot(addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B)))]]) ).
cnf(refute_0_178,plain,
( addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,B)) != addition(B,skolemFOFtoCNF_X2)
| addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B)) = addition(B,skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,B)),addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B)) = addition(B,skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,B)),addition(B,skolemFOFtoCNF_X2)) )],[refute_0_164,refute_0_178]) ).
cnf(refute_0_180,plain,
addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61)) = addition(X_61,skolemFOFtoCNF_X2),
inference(subst,[],[refute_0_179:[bind(B,$fot(X_61))]]) ).
cnf(refute_0_181,plain,
( addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)) != addition(addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61)),C)
| addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61)) != addition(X_61,skolemFOFtoCNF_X2)
| addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)) = addition(addition(X_61,skolemFOFtoCNF_X2),C) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)),addition(addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61)),C)) ),[1,0],$fot(addition(X_61,skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_182,plain,
( addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)) != addition(addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61)),C)
| addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)) = addition(addition(X_61,skolemFOFtoCNF_X2),C) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61)),addition(X_61,skolemFOFtoCNF_X2)) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)) = addition(addition(X_61,skolemFOFtoCNF_X2),C),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)),addition(addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61)),C)) )],[refute_0_73,refute_0_182]) ).
cnf(refute_0_184,plain,
addition(addition(X_61,C),skolemFOFtoCNF_X2) = addition(X_61,addition(C,skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_88:[bind(A,$fot(X_61)),bind(B,$fot(C)),bind(C,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_185,plain,
addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_61,C))) = addition(addition(X_61,C),skolemFOFtoCNF_X2),
inference(subst,[],[refute_0_179:[bind(B,$fot(addition(X_61,C)))]]) ).
cnf(refute_0_186,plain,
( addition(addition(X_61,C),skolemFOFtoCNF_X2) != addition(X_61,addition(C,skolemFOFtoCNF_X2))
| addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_61,C))) != addition(addition(X_61,C),skolemFOFtoCNF_X2)
| addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_61,C))) = addition(X_61,addition(C,skolemFOFtoCNF_X2)) ),
inference(subst,[],[refute_0_107:[bind(X,$fot(addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_61,C))))),bind(Y,$fot(addition(addition(X_61,C),skolemFOFtoCNF_X2))),bind(Z,$fot(addition(X_61,addition(C,skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_187,plain,
( addition(addition(X_61,C),skolemFOFtoCNF_X2) != addition(X_61,addition(C,skolemFOFtoCNF_X2))
| addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_61,C))) = addition(X_61,addition(C,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_61,C))),addition(addition(X_61,C),skolemFOFtoCNF_X2)) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_61,C))) = addition(X_61,addition(C,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(addition(addition(X_61,C),skolemFOFtoCNF_X2),addition(X_61,addition(C,skolemFOFtoCNF_X2))) )],[refute_0_184,refute_0_187]) ).
cnf(refute_0_189,plain,
addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C) = addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_61,C)),
inference(subst,[],[refute_0_88:[bind(A,$fot(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))),bind(B,$fot(X_61))]]) ).
cnf(refute_0_190,plain,
addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)) = addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)),
introduced(tautology,[refl,[$fot(addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)))]]) ).
cnf(refute_0_191,plain,
( addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C) != addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_61,C))
| addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)) != addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C))
| addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)) = addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_61,C))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)),addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C))) ),[1,1],$fot(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_61,C)))]]) ).
cnf(refute_0_192,plain,
( addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C) != addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_61,C))
| addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)) = addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_61,C))) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)),addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)) = addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_61,C))),
inference(resolve,[$cnf( $equal(addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C),addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_61,C))) )],[refute_0_189,refute_0_192]) ).
cnf(refute_0_194,plain,
( addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)) != addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_61,C)))
| addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_61,C))) != addition(X_61,addition(C,skolemFOFtoCNF_X2))
| addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)) = addition(X_61,addition(C,skolemFOFtoCNF_X2)) ),
inference(subst,[],[refute_0_107:[bind(X,$fot(addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)))),bind(Y,$fot(addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_61,C))))),bind(Z,$fot(addition(X_61,addition(C,skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_195,plain,
( addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_61,C))) != addition(X_61,addition(C,skolemFOFtoCNF_X2))
| addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)) = addition(X_61,addition(C,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)),addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_61,C)))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)) = addition(X_61,addition(C,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_61,C))),addition(X_61,addition(C,skolemFOFtoCNF_X2))) )],[refute_0_188,refute_0_195]) ).
cnf(refute_0_197,plain,
( addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)) != addition(X_61,addition(C,skolemFOFtoCNF_X2))
| addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)) != addition(addition(X_61,skolemFOFtoCNF_X2),C)
| addition(X_61,addition(C,skolemFOFtoCNF_X2)) = addition(addition(X_61,skolemFOFtoCNF_X2),C) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)),addition(addition(X_61,skolemFOFtoCNF_X2),C)) ),[0],$fot(addition(X_61,addition(C,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_198,plain,
( addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)) != addition(addition(X_61,skolemFOFtoCNF_X2),C)
| addition(X_61,addition(C,skolemFOFtoCNF_X2)) = addition(addition(X_61,skolemFOFtoCNF_X2),C) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)),addition(X_61,addition(C,skolemFOFtoCNF_X2))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
addition(addition(X_61,skolemFOFtoCNF_X2),C) = addition(X_61,addition(skolemFOFtoCNF_X2,C)),
inference(subst,[],[refute_0_88:[bind(A,$fot(X_61)),bind(B,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_200,plain,
( addition(X_61,addition(C,skolemFOFtoCNF_X2)) != addition(addition(X_61,skolemFOFtoCNF_X2),C)
| addition(addition(X_61,skolemFOFtoCNF_X2),C) != addition(X_61,addition(skolemFOFtoCNF_X2,C))
| addition(X_61,addition(C,skolemFOFtoCNF_X2)) = addition(X_61,addition(skolemFOFtoCNF_X2,C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_61,addition(C,skolemFOFtoCNF_X2)),addition(X_61,addition(skolemFOFtoCNF_X2,C))) ),[0],$fot(addition(addition(X_61,skolemFOFtoCNF_X2),C))]]) ).
cnf(refute_0_201,plain,
( addition(X_61,addition(C,skolemFOFtoCNF_X2)) != addition(addition(X_61,skolemFOFtoCNF_X2),C)
| addition(X_61,addition(C,skolemFOFtoCNF_X2)) = addition(X_61,addition(skolemFOFtoCNF_X2,C)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_61,skolemFOFtoCNF_X2),C),addition(X_61,addition(skolemFOFtoCNF_X2,C))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
( addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)) != addition(addition(X_61,skolemFOFtoCNF_X2),C)
| addition(X_61,addition(C,skolemFOFtoCNF_X2)) = addition(X_61,addition(skolemFOFtoCNF_X2,C)) ),
inference(resolve,[$cnf( $equal(addition(X_61,addition(C,skolemFOFtoCNF_X2)),addition(addition(X_61,skolemFOFtoCNF_X2),C)) )],[refute_0_198,refute_0_201]) ).
cnf(refute_0_203,plain,
addition(X_61,addition(C,skolemFOFtoCNF_X2)) = addition(X_61,addition(skolemFOFtoCNF_X2,C)),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),X_61),C)),addition(addition(X_61,skolemFOFtoCNF_X2),C)) )],[refute_0_183,refute_0_202]) ).
cnf(refute_0_204,plain,
addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(C,skolemFOFtoCNF_X2)) = addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X2,C)),
inference(subst,[],[refute_0_203:[bind(X_61,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_205,plain,
( addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(C,skolemFOFtoCNF_X2)) != addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X2,C))
| addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X2,C)) = addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(C,skolemFOFtoCNF_X2)) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(C,skolemFOFtoCNF_X2)))),bind(Y,$fot(addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X2,C))))]]) ).
cnf(refute_0_206,plain,
addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X2,C)) = addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(C,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(C,skolemFOFtoCNF_X2)),addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X2,C))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
( addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X2,C)) != addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(C,skolemFOFtoCNF_X2))
| multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X2,C))) != multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X2,C))
| multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(C,skolemFOFtoCNF_X2))) = multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X2,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X2,C))),multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X2,C))) ),[0,1],$fot(addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(C,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_208,plain,
( multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X2,C))) != multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X2,C))
| multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(C,skolemFOFtoCNF_X2))) = multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X2,C)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X2,C)),addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(C,skolemFOFtoCNF_X2))) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(C,skolemFOFtoCNF_X2))) = multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X2,C)),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X2,C))),multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X2,C))) )],[refute_0_72,refute_0_208]) ).
cnf(refute_0_210,plain,
multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(C,skolemFOFtoCNF_X2))) = multiplication(skolemFOFtoCNF_X0,addition(C,skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_71:[bind(C,$fot(addition(C,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_211,plain,
( multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(C,skolemFOFtoCNF_X2))) != multiplication(skolemFOFtoCNF_X0,addition(C,skolemFOFtoCNF_X2))
| multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(C,skolemFOFtoCNF_X2))) != multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X2,C))
| multiplication(skolemFOFtoCNF_X0,addition(C,skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X2,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(C,skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X2,C))) ),[0],$fot(multiplication(skolemFOFtoCNF_X0,addition(C,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_212,plain,
( multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(C,skolemFOFtoCNF_X2))) != multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X2,C))
| multiplication(skolemFOFtoCNF_X0,addition(C,skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X2,C)) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(C,skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,addition(C,skolemFOFtoCNF_X2))) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
multiplication(skolemFOFtoCNF_X0,addition(C,skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X2,C)),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X0),addition(C,skolemFOFtoCNF_X2))),multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X2,C))) )],[refute_0_209,refute_0_212]) ).
cnf(refute_0_214,plain,
multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))),
inference(subst,[],[refute_0_213:[bind(C,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_215,plain,
addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_14,skolemFOFtoCNF_X2)) = addition(X_14,addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))),
inference(subst,[],[refute_0_102:[bind(A,$fot(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))),bind(X_15,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_216,plain,
( addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_14,skolemFOFtoCNF_X2)) != addition(X_14,addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))))
| addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))) != skolemFOFtoCNF_X2
| addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_14,skolemFOFtoCNF_X2)) = addition(X_14,skolemFOFtoCNF_X2) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_14,skolemFOFtoCNF_X2)),addition(X_14,addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))))) ),[1,1],$fot(skolemFOFtoCNF_X2)]]) ).
cnf(refute_0_217,plain,
( addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_14,skolemFOFtoCNF_X2)) != addition(X_14,addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))))
| addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_14,skolemFOFtoCNF_X2)) = addition(X_14,skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),skolemFOFtoCNF_X2) )],[refute_0_161,refute_0_216]) ).
cnf(refute_0_218,plain,
addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_14,skolemFOFtoCNF_X2)) = addition(X_14,skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_14,skolemFOFtoCNF_X2)),addition(X_14,addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))))) )],[refute_0_215,refute_0_217]) ).
cnf(refute_0_219,plain,
( addition(A,addition(X_26,B)) != addition(B,addition(X_26,A))
| addition(B,addition(X_26,A)) = addition(A,addition(X_26,B)) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(addition(A,addition(X_26,B)))),bind(Y,$fot(addition(B,addition(X_26,A))))]]) ).
cnf(refute_0_220,plain,
addition(B,addition(X_26,A)) = addition(A,addition(X_26,B)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_26,B)),addition(B,addition(X_26,A))) )],[refute_0_152,refute_0_219]) ).
cnf(refute_0_221,plain,
addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_14,skolemFOFtoCNF_X2)) = addition(skolemFOFtoCNF_X2,addition(X_14,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))),
inference(subst,[],[refute_0_220:[bind(A,$fot(skolemFOFtoCNF_X2)),bind(B,$fot(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))),bind(X_26,$fot(X_14))]]) ).
cnf(refute_0_222,plain,
( addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_14,skolemFOFtoCNF_X2)) != addition(X_14,skolemFOFtoCNF_X2)
| addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_14,skolemFOFtoCNF_X2)) != addition(skolemFOFtoCNF_X2,addition(X_14,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))))
| addition(skolemFOFtoCNF_X2,addition(X_14,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))) = addition(X_14,skolemFOFtoCNF_X2) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_14,skolemFOFtoCNF_X2)),addition(X_14,skolemFOFtoCNF_X2)) ),[0],$fot(addition(skolemFOFtoCNF_X2,addition(X_14,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))))]]) ).
cnf(refute_0_223,plain,
( addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_14,skolemFOFtoCNF_X2)) != addition(X_14,skolemFOFtoCNF_X2)
| addition(skolemFOFtoCNF_X2,addition(X_14,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))) = addition(X_14,skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_14,skolemFOFtoCNF_X2)),addition(skolemFOFtoCNF_X2,addition(X_14,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
addition(skolemFOFtoCNF_X2,addition(X_14,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))) = addition(X_14,skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(X_14,skolemFOFtoCNF_X2)),addition(X_14,skolemFOFtoCNF_X2)) )],[refute_0_218,refute_0_223]) ).
cnf(refute_0_225,plain,
addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,B),multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))) = addition(multiplication(skolemFOFtoCNF_X0,B),skolemFOFtoCNF_X2),
inference(subst,[],[refute_0_224:[bind(X_14,$fot(multiplication(skolemFOFtoCNF_X0,B)))]]) ).
cnf(refute_0_226,plain,
multiplication(skolemFOFtoCNF_X0,addition(B,c(skolemFOFtoCNF_X1_1))) = addition(multiplication(skolemFOFtoCNF_X0,B),multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),
inference(subst,[],[refute_0_52:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(C,$fot(c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_227,plain,
( multiplication(skolemFOFtoCNF_X0,addition(B,c(skolemFOFtoCNF_X1_1))) != addition(multiplication(skolemFOFtoCNF_X0,B),multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))
| addition(multiplication(skolemFOFtoCNF_X0,B),multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))) = multiplication(skolemFOFtoCNF_X0,addition(B,c(skolemFOFtoCNF_X1_1))) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(multiplication(skolemFOFtoCNF_X0,addition(B,c(skolemFOFtoCNF_X1_1))))),bind(Y,$fot(addition(multiplication(skolemFOFtoCNF_X0,B),multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))))]]) ).
cnf(refute_0_228,plain,
addition(multiplication(skolemFOFtoCNF_X0,B),multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))) = multiplication(skolemFOFtoCNF_X0,addition(B,c(skolemFOFtoCNF_X1_1))),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(B,c(skolemFOFtoCNF_X1_1))),addition(multiplication(skolemFOFtoCNF_X0,B),multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
( addition(multiplication(skolemFOFtoCNF_X0,B),multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))) != multiplication(skolemFOFtoCNF_X0,addition(B,c(skolemFOFtoCNF_X1_1)))
| addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,B),multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))) != addition(multiplication(skolemFOFtoCNF_X0,B),skolemFOFtoCNF_X2)
| addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,addition(B,c(skolemFOFtoCNF_X1_1)))) = addition(multiplication(skolemFOFtoCNF_X0,B),skolemFOFtoCNF_X2) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,B),multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))),addition(multiplication(skolemFOFtoCNF_X0,B),skolemFOFtoCNF_X2)) ),[0,1],$fot(multiplication(skolemFOFtoCNF_X0,addition(B,c(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_230,plain,
( addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,B),multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))) != addition(multiplication(skolemFOFtoCNF_X0,B),skolemFOFtoCNF_X2)
| addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,addition(B,c(skolemFOFtoCNF_X1_1)))) = addition(multiplication(skolemFOFtoCNF_X0,B),skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,B),multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),multiplication(skolemFOFtoCNF_X0,addition(B,c(skolemFOFtoCNF_X1_1)))) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,addition(B,c(skolemFOFtoCNF_X1_1)))) = addition(multiplication(skolemFOFtoCNF_X0,B),skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(multiplication(skolemFOFtoCNF_X0,B),multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))),addition(multiplication(skolemFOFtoCNF_X0,B),skolemFOFtoCNF_X2)) )],[refute_0_225,refute_0_230]) ).
cnf(refute_0_232,plain,
addition(multiplication(skolemFOFtoCNF_X0,B),skolemFOFtoCNF_X2) = addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,B)),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_X2)),bind(B,$fot(multiplication(skolemFOFtoCNF_X0,B)))]]) ).
cnf(refute_0_233,plain,
( addition(multiplication(skolemFOFtoCNF_X0,B),skolemFOFtoCNF_X2) != addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,B))
| addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,addition(B,c(skolemFOFtoCNF_X1_1)))) != addition(multiplication(skolemFOFtoCNF_X0,B),skolemFOFtoCNF_X2)
| addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,addition(B,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,B)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,addition(B,c(skolemFOFtoCNF_X1_1)))),addition(multiplication(skolemFOFtoCNF_X0,B),skolemFOFtoCNF_X2)) ),[1],$fot(addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,B)))]]) ).
cnf(refute_0_234,plain,
( addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,addition(B,c(skolemFOFtoCNF_X1_1)))) != addition(multiplication(skolemFOFtoCNF_X0,B),skolemFOFtoCNF_X2)
| addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,addition(B,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,B)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,B),skolemFOFtoCNF_X2),addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,B))) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,addition(B,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,B)),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,addition(B,c(skolemFOFtoCNF_X1_1)))),addition(multiplication(skolemFOFtoCNF_X0,B),skolemFOFtoCNF_X2)) )],[refute_0_231,refute_0_234]) ).
cnf(refute_0_236,plain,
addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),
inference(subst,[],[refute_0_235:[bind(B,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_237,plain,
test(skolemFOFtoCNF_X1_1),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_238,plain,
( ~ test(skolemFOFtoCNF_X1_1)
| complement(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) ),
inference(subst,[],[refute_0_30:[bind(X0,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_239,plain,
complement(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( test(skolemFOFtoCNF_X1_1) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
( ~ complement(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))
| addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) = one ),
inference(subst,[],[refute_0_33:[bind(X0,$fot(c(skolemFOFtoCNF_X1_1))),bind(X1,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_241,plain,
addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) = one,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) = addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_X1_1)),bind(B,$fot(c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_243,plain,
( addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) != addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))
| addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) != one
| addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),one) ),[0],$fot(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_244,plain,
( addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) != one
| addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) = one ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) = one,
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),one) )],[refute_0_241,refute_0_244]) ).
cnf(refute_0_246,plain,
( addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) != one
| addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) != addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))
| addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)) = addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))) ),[0,1,1],$fot(one)]]) ).
cnf(refute_0_247,plain,
( addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) != addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))
| addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)) = addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),one) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)) = addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))) )],[refute_0_236,refute_0_247]) ).
cnf(refute_0_249,plain,
addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X0) = addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_250,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_251,plain,
multiplication(skolemFOFtoCNF_X0,one) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_250:[bind(A,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_252,plain,
addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)) = addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)),
introduced(tautology,[refl,[$fot(addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)))]]) ).
cnf(refute_0_253,plain,
( addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)) != addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one))
| multiplication(skolemFOFtoCNF_X0,one) != skolemFOFtoCNF_X0
| addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)) = addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)),addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_254,plain,
( multiplication(skolemFOFtoCNF_X0,one) != skolemFOFtoCNF_X0
| addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)) = addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)),addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)) = addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,one),skolemFOFtoCNF_X0) )],[refute_0_251,refute_0_254]) ).
cnf(refute_0_256,plain,
( addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)) != addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X0)
| addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X0) != addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)
| addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)) = addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) ),
inference(subst,[],[refute_0_107:[bind(X,$fot(addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)))),bind(Y,$fot(addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X0))),bind(Z,$fot(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_257,plain,
( addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X0) != addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)
| addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)) = addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)),addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X0)) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)) = addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) )],[refute_0_249,refute_0_257]) ).
cnf(refute_0_259,plain,
( addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)) != addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)
| addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)) != addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))
| addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) = addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)),addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))) ),[0],$fot(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_260,plain,
( addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)) != addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))
| addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) = addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)),addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) = addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,one)),addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))) )],[refute_0_248,refute_0_260]) ).
cnf(refute_0_262,plain,
( addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) != addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))
| addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)) = addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),bind(Y,$fot(addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_263,plain,
addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)) = addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
( addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)) != addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)
| multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2)) != multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)))
| multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)))) ),[1,1],$fot(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_265,plain,
( multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2)) != multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)))
| multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X2,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)))) )],[refute_0_214,refute_0_265]) ).
cnf(refute_0_267,plain,
multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,X_597),C)) = addition(multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,X_597)),multiplication(skolemFOFtoCNF_X0,C)),
inference(subst,[],[refute_0_52:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(multiplication(skolemFOFtoCNF_X0,X_597)))]]) ).
cnf(refute_0_268,plain,
multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_269,plain,
multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,C)) = multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),C),
inference(subst,[],[refute_0_268:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_270,plain,
multiplication(addition(A,c(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = addition(multiplication(A,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_16:[bind(B,$fot(c(skolemFOFtoCNF_X0))),bind(C,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_271,plain,
( ~ complement(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))
| multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = zero ),
inference(subst,[],[refute_0_57:[bind(X0,$fot(c(skolemFOFtoCNF_X0))),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_272,plain,
multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = zero,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) )],[refute_0_32,refute_0_271]) ).
cnf(refute_0_273,plain,
( multiplication(addition(A,c(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != addition(multiplication(A,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != zero
| multiplication(addition(A,c(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = addition(multiplication(A,skolemFOFtoCNF_X0),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(A,c(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),addition(multiplication(A,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_274,plain,
( multiplication(addition(A,c(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != addition(multiplication(A,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| multiplication(addition(A,c(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = addition(multiplication(A,skolemFOFtoCNF_X0),zero) ),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),zero) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
multiplication(addition(A,c(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = addition(multiplication(A,skolemFOFtoCNF_X0),zero),
inference(resolve,[$cnf( $equal(multiplication(addition(A,c(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),addition(multiplication(A,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_270,refute_0_274]) ).
cnf(refute_0_276,plain,
addition(zero,multiplication(A,skolemFOFtoCNF_X0)) = multiplication(A,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_67:[bind(A,$fot(multiplication(A,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_277,plain,
addition(X_15,X_14) = addition(X_14,X_15),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_15)),bind(B,$fot(X_14))]]) ).
cnf(refute_0_278,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_19:[bind(X,$fot(addition(X_15,X_14))),bind(Y,$fot(addition(X_14,X_15)))]]) ).
cnf(refute_0_279,plain,
addition(X_14,X_15) = addition(X_15,X_14),
inference(resolve,[$cnf( $equal(addition(X_15,X_14),addition(X_14,X_15)) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
addition(multiplication(A,skolemFOFtoCNF_X0),zero) = addition(zero,multiplication(A,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_279:[bind(X_14,$fot(multiplication(A,skolemFOFtoCNF_X0))),bind(X_15,$fot(zero))]]) ).
cnf(refute_0_281,plain,
( addition(multiplication(A,skolemFOFtoCNF_X0),zero) != addition(zero,multiplication(A,skolemFOFtoCNF_X0))
| addition(zero,multiplication(A,skolemFOFtoCNF_X0)) != multiplication(A,skolemFOFtoCNF_X0)
| addition(multiplication(A,skolemFOFtoCNF_X0),zero) = multiplication(A,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_107:[bind(X,$fot(addition(multiplication(A,skolemFOFtoCNF_X0),zero))),bind(Y,$fot(addition(zero,multiplication(A,skolemFOFtoCNF_X0)))),bind(Z,$fot(multiplication(A,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_282,plain,
( addition(zero,multiplication(A,skolemFOFtoCNF_X0)) != multiplication(A,skolemFOFtoCNF_X0)
| addition(multiplication(A,skolemFOFtoCNF_X0),zero) = multiplication(A,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,skolemFOFtoCNF_X0),zero),addition(zero,multiplication(A,skolemFOFtoCNF_X0))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
addition(multiplication(A,skolemFOFtoCNF_X0),zero) = multiplication(A,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(A,skolemFOFtoCNF_X0)),multiplication(A,skolemFOFtoCNF_X0)) )],[refute_0_276,refute_0_282]) ).
cnf(refute_0_284,plain,
( addition(multiplication(A,skolemFOFtoCNF_X0),zero) != multiplication(A,skolemFOFtoCNF_X0)
| multiplication(addition(A,c(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != addition(multiplication(A,skolemFOFtoCNF_X0),zero)
| multiplication(addition(A,c(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = multiplication(A,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(A,c(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),addition(multiplication(A,skolemFOFtoCNF_X0),zero)) ),[1],$fot(multiplication(A,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_285,plain,
( multiplication(addition(A,c(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != addition(multiplication(A,skolemFOFtoCNF_X0),zero)
| multiplication(addition(A,c(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = multiplication(A,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,skolemFOFtoCNF_X0),zero),multiplication(A,skolemFOFtoCNF_X0)) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
multiplication(addition(A,c(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = multiplication(A,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(multiplication(addition(A,c(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),addition(multiplication(A,skolemFOFtoCNF_X0),zero)) )],[refute_0_275,refute_0_285]) ).
cnf(refute_0_287,plain,
multiplication(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_286:[bind(A,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_288,plain,
( addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) != one
| multiplication(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)
| multiplication(one,skolemFOFtoCNF_X0) = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),[0,0],$fot(one)]]) ).
cnf(refute_0_289,plain,
( multiplication(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)
| multiplication(one,skolemFOFtoCNF_X0) = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),one) )],[refute_0_42,refute_0_288]) ).
cnf(refute_0_290,plain,
multiplication(one,skolemFOFtoCNF_X0) = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) )],[refute_0_287,refute_0_289]) ).
cnf(refute_0_291,plain,
multiplication(one,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_46:[bind(A,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_292,plain,
( multiplication(one,skolemFOFtoCNF_X0) != multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)
| multiplication(one,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| skolemFOFtoCNF_X0 = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),[0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_293,plain,
( multiplication(one,skolemFOFtoCNF_X0) != multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)
| skolemFOFtoCNF_X0 = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(multiplication(one,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
skolemFOFtoCNF_X0 = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(multiplication(one,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) )],[refute_0_290,refute_0_293]) ).
cnf(refute_0_295,plain,
( skolemFOFtoCNF_X0 != multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)
| multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_19:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_296,plain,
multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
( multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,C)) != multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),C)
| multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,C)) = multiplication(skolemFOFtoCNF_X0,C) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,C)),multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),C)) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_298,plain,
( multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,C)) != multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),C)
| multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,C)) = multiplication(skolemFOFtoCNF_X0,C) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,C)) = multiplication(skolemFOFtoCNF_X0,C),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,C)),multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),C)) )],[refute_0_269,refute_0_298]) ).
cnf(refute_0_300,plain,
multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,X_597)) = multiplication(skolemFOFtoCNF_X0,X_597),
inference(subst,[],[refute_0_299:[bind(C,$fot(X_597))]]) ).
cnf(refute_0_301,plain,
( multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,X_597),C)) != addition(multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,X_597)),multiplication(skolemFOFtoCNF_X0,C))
| multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,X_597)) != multiplication(skolemFOFtoCNF_X0,X_597)
| multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,X_597),C)) = addition(multiplication(skolemFOFtoCNF_X0,X_597),multiplication(skolemFOFtoCNF_X0,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,X_597),C)),addition(multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,X_597)),multiplication(skolemFOFtoCNF_X0,C))) ),[1,0],$fot(multiplication(skolemFOFtoCNF_X0,X_597))]]) ).
cnf(refute_0_302,plain,
( multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,X_597),C)) != addition(multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,X_597)),multiplication(skolemFOFtoCNF_X0,C))
| multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,X_597),C)) = addition(multiplication(skolemFOFtoCNF_X0,X_597),multiplication(skolemFOFtoCNF_X0,C)) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,X_597)),multiplication(skolemFOFtoCNF_X0,X_597)) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,X_597),C)) = addition(multiplication(skolemFOFtoCNF_X0,X_597),multiplication(skolemFOFtoCNF_X0,C)),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,X_597),C)),addition(multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,X_597)),multiplication(skolemFOFtoCNF_X0,C))) )],[refute_0_267,refute_0_302]) ).
cnf(refute_0_304,plain,
( multiplication(A,addition(B,C)) != addition(multiplication(A,B),multiplication(A,C))
| addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(multiplication(A,addition(B,C)))),bind(Y,$fot(addition(multiplication(A,B),multiplication(A,C))))]]) ).
cnf(refute_0_305,plain,
addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(B,C)),addition(multiplication(A,B),multiplication(A,C))) )],[refute_0_52,refute_0_304]) ).
cnf(refute_0_306,plain,
addition(multiplication(skolemFOFtoCNF_X0,X_597),multiplication(skolemFOFtoCNF_X0,C)) = multiplication(skolemFOFtoCNF_X0,addition(X_597,C)),
inference(subst,[],[refute_0_305:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(X_597))]]) ).
cnf(refute_0_307,plain,
( addition(multiplication(skolemFOFtoCNF_X0,X_597),multiplication(skolemFOFtoCNF_X0,C)) != multiplication(skolemFOFtoCNF_X0,addition(X_597,C))
| multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,X_597),C)) != addition(multiplication(skolemFOFtoCNF_X0,X_597),multiplication(skolemFOFtoCNF_X0,C))
| multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,X_597),C)) = multiplication(skolemFOFtoCNF_X0,addition(X_597,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,X_597),C)),addition(multiplication(skolemFOFtoCNF_X0,X_597),multiplication(skolemFOFtoCNF_X0,C))) ),[1],$fot(multiplication(skolemFOFtoCNF_X0,addition(X_597,C)))]]) ).
cnf(refute_0_308,plain,
( multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,X_597),C)) != addition(multiplication(skolemFOFtoCNF_X0,X_597),multiplication(skolemFOFtoCNF_X0,C))
| multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,X_597),C)) = multiplication(skolemFOFtoCNF_X0,addition(X_597,C)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,X_597),multiplication(skolemFOFtoCNF_X0,C)),multiplication(skolemFOFtoCNF_X0,addition(X_597,C))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,X_597),C)) = multiplication(skolemFOFtoCNF_X0,addition(X_597,C)),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,X_597),C)),addition(multiplication(skolemFOFtoCNF_X0,X_597),multiplication(skolemFOFtoCNF_X0,C))) )],[refute_0_303,refute_0_308]) ).
cnf(refute_0_310,plain,
multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_309:[bind(C,$fot(skolemFOFtoCNF_X2)),bind(X_597,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_311,plain,
( multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2)) != multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2)) != multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2))
| multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),[0],$fot(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_312,plain,
( multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2)) != multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
multiplication(X_33,addition(X_34,one)) = addition(multiplication(X_33,X_34),multiplication(X_33,one)),
inference(subst,[],[refute_0_52:[bind(A,$fot(X_33)),bind(B,$fot(X_34)),bind(C,$fot(one))]]) ).
cnf(refute_0_314,plain,
multiplication(X_33,one) = X_33,
inference(subst,[],[refute_0_250:[bind(A,$fot(X_33))]]) ).
cnf(refute_0_315,plain,
( multiplication(X_33,addition(X_34,one)) != addition(multiplication(X_33,X_34),multiplication(X_33,one))
| multiplication(X_33,one) != X_33
| multiplication(X_33,addition(X_34,one)) = addition(multiplication(X_33,X_34),X_33) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_33,addition(X_34,one)),addition(multiplication(X_33,X_34),multiplication(X_33,one))) ),[1,1],$fot(X_33)]]) ).
cnf(refute_0_316,plain,
( multiplication(X_33,addition(X_34,one)) != addition(multiplication(X_33,X_34),multiplication(X_33,one))
| multiplication(X_33,addition(X_34,one)) = addition(multiplication(X_33,X_34),X_33) ),
inference(resolve,[$cnf( $equal(multiplication(X_33,one),X_33) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
multiplication(X_33,addition(X_34,one)) = addition(multiplication(X_33,X_34),X_33),
inference(resolve,[$cnf( $equal(multiplication(X_33,addition(X_34,one)),addition(multiplication(X_33,X_34),multiplication(X_33,one))) )],[refute_0_313,refute_0_316]) ).
cnf(refute_0_318,plain,
addition(multiplication(X_33,X_34),X_33) = addition(X_33,multiplication(X_33,X_34)),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_33)),bind(B,$fot(multiplication(X_33,X_34)))]]) ).
cnf(refute_0_319,plain,
( addition(multiplication(X_33,X_34),X_33) != addition(X_33,multiplication(X_33,X_34))
| multiplication(X_33,addition(X_34,one)) != addition(multiplication(X_33,X_34),X_33)
| multiplication(X_33,addition(X_34,one)) = addition(X_33,multiplication(X_33,X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_33,addition(X_34,one)),addition(multiplication(X_33,X_34),X_33)) ),[1],$fot(addition(X_33,multiplication(X_33,X_34)))]]) ).
cnf(refute_0_320,plain,
( multiplication(X_33,addition(X_34,one)) != addition(multiplication(X_33,X_34),X_33)
| multiplication(X_33,addition(X_34,one)) = addition(X_33,multiplication(X_33,X_34)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_33,X_34),X_33),addition(X_33,multiplication(X_33,X_34))) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
multiplication(X_33,addition(X_34,one)) = addition(X_33,multiplication(X_33,X_34)),
inference(resolve,[$cnf( $equal(multiplication(X_33,addition(X_34,one)),addition(multiplication(X_33,X_34),X_33)) )],[refute_0_317,refute_0_320]) ).
cnf(refute_0_322,plain,
multiplication(X_36,addition(X_37,one)) = addition(X_36,multiplication(X_36,X_37)),
inference(subst,[],[refute_0_321:[bind(X_33,$fot(X_36)),bind(X_34,$fot(X_37))]]) ).
cnf(refute_0_323,plain,
addition(one,X_37) = addition(X_37,one),
inference(subst,[],[refute_0_36:[bind(A,$fot(one)),bind(B,$fot(X_37))]]) ).
cnf(refute_0_324,plain,
( addition(one,X_37) != addition(X_37,one)
| addition(X_37,one) = addition(one,X_37) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(addition(one,X_37))),bind(Y,$fot(addition(X_37,one)))]]) ).
cnf(refute_0_325,plain,
addition(X_37,one) = addition(one,X_37),
inference(resolve,[$cnf( $equal(addition(one,X_37),addition(X_37,one)) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
( addition(X_37,one) != addition(one,X_37)
| multiplication(X_36,addition(X_37,one)) != addition(X_36,multiplication(X_36,X_37))
| multiplication(X_36,addition(one,X_37)) = addition(X_36,multiplication(X_36,X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_36,addition(X_37,one)),addition(X_36,multiplication(X_36,X_37))) ),[0,1],$fot(addition(one,X_37))]]) ).
cnf(refute_0_327,plain,
( multiplication(X_36,addition(X_37,one)) != addition(X_36,multiplication(X_36,X_37))
| multiplication(X_36,addition(one,X_37)) = addition(X_36,multiplication(X_36,X_37)) ),
inference(resolve,[$cnf( $equal(addition(X_37,one),addition(one,X_37)) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
multiplication(X_36,addition(one,X_37)) = addition(X_36,multiplication(X_36,X_37)),
inference(resolve,[$cnf( $equal(multiplication(X_36,addition(X_37,one)),addition(X_36,multiplication(X_36,X_37))) )],[refute_0_322,refute_0_327]) ).
cnf(refute_0_329,plain,
multiplication(X_36,addition(one,skolemFOFtoCNF_X2)) = addition(X_36,multiplication(X_36,skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_328:[bind(X_37,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_330,plain,
addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X2,B)) = addition(B,addition(skolemFOFtoCNF_X2,addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))))),
inference(subst,[],[refute_0_152:[bind(A,$fot(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))))),bind(X_26,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_331,plain,
addition(skolemFOFtoCNF_X2,addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))) = addition(X_60,skolemFOFtoCNF_X2),
inference(subst,[],[refute_0_224:[bind(X_14,$fot(X_60))]]) ).
cnf(refute_0_332,plain,
( addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X2,B)) != addition(B,addition(skolemFOFtoCNF_X2,addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))))
| addition(skolemFOFtoCNF_X2,addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))) != addition(X_60,skolemFOFtoCNF_X2)
| addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X2,B)) = addition(B,addition(X_60,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X2,B)),addition(B,addition(skolemFOFtoCNF_X2,addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))))) ),[1,1],$fot(addition(X_60,skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_333,plain,
( addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X2,B)) != addition(B,addition(skolemFOFtoCNF_X2,addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))))
| addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X2,B)) = addition(B,addition(X_60,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))),addition(X_60,skolemFOFtoCNF_X2)) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X2,B)) = addition(B,addition(X_60,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X2,B)),addition(B,addition(skolemFOFtoCNF_X2,addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))))) )],[refute_0_330,refute_0_333]) ).
cnf(refute_0_335,plain,
addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),B) = addition(X_60,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B)),
inference(subst,[],[refute_0_88:[bind(A,$fot(X_60)),bind(B,$fot(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)))),bind(C,$fot(B))]]) ).
cnf(refute_0_336,plain,
addition(skolemFOFtoCNF_X2,addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),B)) = addition(skolemFOFtoCNF_X2,addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),B)),
introduced(tautology,[refl,[$fot(addition(skolemFOFtoCNF_X2,addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),B)))]]) ).
cnf(refute_0_337,plain,
( addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),B) != addition(X_60,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B))
| addition(skolemFOFtoCNF_X2,addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),B)) != addition(skolemFOFtoCNF_X2,addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),B))
| addition(skolemFOFtoCNF_X2,addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),B)) = addition(skolemFOFtoCNF_X2,addition(X_60,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),B)),addition(skolemFOFtoCNF_X2,addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),B))) ),[1,1],$fot(addition(X_60,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B)))]]) ).
cnf(refute_0_338,plain,
( addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),B) != addition(X_60,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B))
| addition(skolemFOFtoCNF_X2,addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),B)) = addition(skolemFOFtoCNF_X2,addition(X_60,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B))) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),B)),addition(skolemFOFtoCNF_X2,addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),B))) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
addition(skolemFOFtoCNF_X2,addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),B)) = addition(skolemFOFtoCNF_X2,addition(X_60,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B))),
inference(resolve,[$cnf( $equal(addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),B),addition(X_60,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B))) )],[refute_0_335,refute_0_338]) ).
cnf(refute_0_340,plain,
addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X2,B)) = addition(skolemFOFtoCNF_X2,addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),B)),
inference(subst,[],[refute_0_175:[bind(X_29,$fot(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))))),bind(X_30,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_341,plain,
( addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X2,B)) != addition(skolemFOFtoCNF_X2,addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),B))
| addition(skolemFOFtoCNF_X2,addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),B)) != addition(skolemFOFtoCNF_X2,addition(X_60,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B)))
| addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X2,B)) = addition(skolemFOFtoCNF_X2,addition(X_60,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B))) ),
inference(subst,[],[refute_0_107:[bind(X,$fot(addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X2,B)))),bind(Y,$fot(addition(skolemFOFtoCNF_X2,addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),B)))),bind(Z,$fot(addition(skolemFOFtoCNF_X2,addition(X_60,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B)))))]]) ).
cnf(refute_0_342,plain,
( addition(skolemFOFtoCNF_X2,addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),B)) != addition(skolemFOFtoCNF_X2,addition(X_60,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B)))
| addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X2,B)) = addition(skolemFOFtoCNF_X2,addition(X_60,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X2,B)),addition(skolemFOFtoCNF_X2,addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),B))) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X2,B)) = addition(skolemFOFtoCNF_X2,addition(X_60,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B))),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),B)),addition(skolemFOFtoCNF_X2,addition(X_60,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B)))) )],[refute_0_339,refute_0_342]) ).
cnf(refute_0_344,plain,
( addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X2,B)) != addition(B,addition(X_60,skolemFOFtoCNF_X2))
| addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X2,B)) != addition(skolemFOFtoCNF_X2,addition(X_60,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B)))
| addition(skolemFOFtoCNF_X2,addition(X_60,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B))) = addition(B,addition(X_60,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X2,B)),addition(B,addition(X_60,skolemFOFtoCNF_X2))) ),[0],$fot(addition(skolemFOFtoCNF_X2,addition(X_60,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B))))]]) ).
cnf(refute_0_345,plain,
( addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X2,B)) != addition(B,addition(X_60,skolemFOFtoCNF_X2))
| addition(skolemFOFtoCNF_X2,addition(X_60,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B))) = addition(B,addition(X_60,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X2,B)),addition(skolemFOFtoCNF_X2,addition(X_60,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B)))) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
addition(skolemFOFtoCNF_X2,addition(X_60,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),B))) = addition(B,addition(X_60,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(addition(addition(X_60,multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X2,B)),addition(B,addition(X_60,skolemFOFtoCNF_X2))) )],[refute_0_334,refute_0_345]) ).
cnf(refute_0_347,plain,
addition(skolemFOFtoCNF_X2,addition(X_89,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,C)))) = addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_346:[bind(B,$fot(addition(skolemFOFtoCNF_X2,C))),bind(X_60,$fot(X_89))]]) ).
cnf(refute_0_348,plain,
addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)) = addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,C)),
inference(subst,[],[refute_0_203:[bind(X_61,$fot(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_349,plain,
( addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)) != addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,C))
| addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,C)) = addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)))),bind(Y,$fot(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,C))))]]) ).
cnf(refute_0_350,plain,
addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,C)) = addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)),addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,C))) )],[refute_0_348,refute_0_349]) ).
cnf(refute_0_351,plain,
( addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,C)) != addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2))
| addition(skolemFOFtoCNF_X2,addition(X_89,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,C)))) != addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2))
| addition(skolemFOFtoCNF_X2,addition(X_89,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)))) = addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(X_89,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,C)))),addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2))) ),[0,1,1],$fot(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_352,plain,
( addition(skolemFOFtoCNF_X2,addition(X_89,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,C)))) != addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2))
| addition(skolemFOFtoCNF_X2,addition(X_89,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)))) = addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,C)),addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
addition(skolemFOFtoCNF_X2,addition(X_89,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)))) = addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(X_89,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X2,C)))),addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2))) )],[refute_0_347,refute_0_352]) ).
cnf(refute_0_354,plain,
addition(skolemFOFtoCNF_X2,addition(X_89,addition(C,skolemFOFtoCNF_X2))) = addition(skolemFOFtoCNF_X2,addition(X_89,C)),
inference(subst,[],[refute_0_135:[bind(X_15,$fot(skolemFOFtoCNF_X2)),bind(X_23,$fot(X_89)),bind(X_24,$fot(C))]]) ).
cnf(refute_0_355,plain,
addition(addition(C,skolemFOFtoCNF_X2),addition(X_89,skolemFOFtoCNF_X2)) = addition(skolemFOFtoCNF_X2,addition(X_89,addition(C,skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_220:[bind(A,$fot(skolemFOFtoCNF_X2)),bind(B,$fot(addition(C,skolemFOFtoCNF_X2))),bind(X_26,$fot(X_89))]]) ).
cnf(refute_0_356,plain,
( addition(addition(C,skolemFOFtoCNF_X2),addition(X_89,skolemFOFtoCNF_X2)) != addition(skolemFOFtoCNF_X2,addition(X_89,addition(C,skolemFOFtoCNF_X2)))
| addition(skolemFOFtoCNF_X2,addition(X_89,addition(C,skolemFOFtoCNF_X2))) != addition(skolemFOFtoCNF_X2,addition(X_89,C))
| addition(addition(C,skolemFOFtoCNF_X2),addition(X_89,skolemFOFtoCNF_X2)) = addition(skolemFOFtoCNF_X2,addition(X_89,C)) ),
inference(subst,[],[refute_0_107:[bind(X,$fot(addition(addition(C,skolemFOFtoCNF_X2),addition(X_89,skolemFOFtoCNF_X2)))),bind(Y,$fot(addition(skolemFOFtoCNF_X2,addition(X_89,addition(C,skolemFOFtoCNF_X2))))),bind(Z,$fot(addition(skolemFOFtoCNF_X2,addition(X_89,C))))]]) ).
cnf(refute_0_357,plain,
( addition(skolemFOFtoCNF_X2,addition(X_89,addition(C,skolemFOFtoCNF_X2))) != addition(skolemFOFtoCNF_X2,addition(X_89,C))
| addition(addition(C,skolemFOFtoCNF_X2),addition(X_89,skolemFOFtoCNF_X2)) = addition(skolemFOFtoCNF_X2,addition(X_89,C)) ),
inference(resolve,[$cnf( $equal(addition(addition(C,skolemFOFtoCNF_X2),addition(X_89,skolemFOFtoCNF_X2)),addition(skolemFOFtoCNF_X2,addition(X_89,addition(C,skolemFOFtoCNF_X2)))) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
addition(addition(C,skolemFOFtoCNF_X2),addition(X_89,skolemFOFtoCNF_X2)) = addition(skolemFOFtoCNF_X2,addition(X_89,C)),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(X_89,addition(C,skolemFOFtoCNF_X2))),addition(skolemFOFtoCNF_X2,addition(X_89,C))) )],[refute_0_354,refute_0_357]) ).
cnf(refute_0_359,plain,
addition(skolemFOFtoCNF_X2,addition(X_89,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)))) = addition(addition(C,skolemFOFtoCNF_X2),addition(X_89,skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_346:[bind(B,$fot(addition(C,skolemFOFtoCNF_X2))),bind(X_60,$fot(X_89))]]) ).
cnf(refute_0_360,plain,
( addition(addition(C,skolemFOFtoCNF_X2),addition(X_89,skolemFOFtoCNF_X2)) != addition(skolemFOFtoCNF_X2,addition(X_89,C))
| addition(skolemFOFtoCNF_X2,addition(X_89,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)))) != addition(addition(C,skolemFOFtoCNF_X2),addition(X_89,skolemFOFtoCNF_X2))
| addition(skolemFOFtoCNF_X2,addition(X_89,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)))) = addition(skolemFOFtoCNF_X2,addition(X_89,C)) ),
inference(subst,[],[refute_0_107:[bind(X,$fot(addition(skolemFOFtoCNF_X2,addition(X_89,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)))))),bind(Y,$fot(addition(addition(C,skolemFOFtoCNF_X2),addition(X_89,skolemFOFtoCNF_X2)))),bind(Z,$fot(addition(skolemFOFtoCNF_X2,addition(X_89,C))))]]) ).
cnf(refute_0_361,plain,
( addition(addition(C,skolemFOFtoCNF_X2),addition(X_89,skolemFOFtoCNF_X2)) != addition(skolemFOFtoCNF_X2,addition(X_89,C))
| addition(skolemFOFtoCNF_X2,addition(X_89,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)))) = addition(skolemFOFtoCNF_X2,addition(X_89,C)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(X_89,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)))),addition(addition(C,skolemFOFtoCNF_X2),addition(X_89,skolemFOFtoCNF_X2))) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
addition(skolemFOFtoCNF_X2,addition(X_89,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)))) = addition(skolemFOFtoCNF_X2,addition(X_89,C)),
inference(resolve,[$cnf( $equal(addition(addition(C,skolemFOFtoCNF_X2),addition(X_89,skolemFOFtoCNF_X2)),addition(skolemFOFtoCNF_X2,addition(X_89,C))) )],[refute_0_358,refute_0_361]) ).
cnf(refute_0_363,plain,
( addition(skolemFOFtoCNF_X2,addition(X_89,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)))) != addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2))
| addition(skolemFOFtoCNF_X2,addition(X_89,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)))) != addition(skolemFOFtoCNF_X2,addition(X_89,C))
| addition(skolemFOFtoCNF_X2,addition(X_89,C)) = addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(X_89,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)))),addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2))) ),[0],$fot(addition(skolemFOFtoCNF_X2,addition(X_89,C)))]]) ).
cnf(refute_0_364,plain,
( addition(skolemFOFtoCNF_X2,addition(X_89,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)))) != addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2))
| addition(skolemFOFtoCNF_X2,addition(X_89,C)) = addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(X_89,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)))),addition(skolemFOFtoCNF_X2,addition(X_89,C))) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
addition(A,addition(B,addition(B,X_18))) = addition(addition(A,B),addition(B,X_18)),
inference(subst,[],[refute_0_2:[bind(C,$fot(addition(B,X_18)))]]) ).
cnf(refute_0_366,plain,
addition(B,addition(B,X_18)) = addition(B,X_18),
inference(subst,[],[refute_0_8:[bind(X_15,$fot(B)),bind(X_16,$fot(X_18))]]) ).
cnf(refute_0_367,plain,
( addition(A,addition(B,addition(B,X_18))) != addition(addition(A,B),addition(B,X_18))
| addition(B,addition(B,X_18)) != addition(B,X_18)
| addition(A,addition(B,X_18)) = addition(addition(A,B),addition(B,X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(B,addition(B,X_18))),addition(addition(A,B),addition(B,X_18))) ),[0,1],$fot(addition(B,X_18))]]) ).
cnf(refute_0_368,plain,
( addition(A,addition(B,addition(B,X_18))) != addition(addition(A,B),addition(B,X_18))
| addition(A,addition(B,X_18)) = addition(addition(A,B),addition(B,X_18)) ),
inference(resolve,[$cnf( $equal(addition(B,addition(B,X_18)),addition(B,X_18)) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
addition(A,addition(B,X_18)) = addition(addition(A,B),addition(B,X_18)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,addition(B,X_18))),addition(addition(A,B),addition(B,X_18))) )],[refute_0_365,refute_0_368]) ).
cnf(refute_0_370,plain,
addition(addition(A,B),X_18) = addition(A,addition(B,X_18)),
inference(subst,[],[refute_0_88:[bind(C,$fot(X_18))]]) ).
cnf(refute_0_371,plain,
addition(B,addition(addition(A,B),X_18)) = addition(B,addition(addition(A,B),X_18)),
introduced(tautology,[refl,[$fot(addition(B,addition(addition(A,B),X_18)))]]) ).
cnf(refute_0_372,plain,
( addition(B,addition(addition(A,B),X_18)) != addition(B,addition(addition(A,B),X_18))
| addition(addition(A,B),X_18) != addition(A,addition(B,X_18))
| addition(B,addition(addition(A,B),X_18)) = addition(B,addition(A,addition(B,X_18))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(B,addition(addition(A,B),X_18)),addition(B,addition(addition(A,B),X_18))) ),[1,1],$fot(addition(A,addition(B,X_18)))]]) ).
cnf(refute_0_373,plain,
( addition(addition(A,B),X_18) != addition(A,addition(B,X_18))
| addition(B,addition(addition(A,B),X_18)) = addition(B,addition(A,addition(B,X_18))) ),
inference(resolve,[$cnf( $equal(addition(B,addition(addition(A,B),X_18)),addition(B,addition(addition(A,B),X_18))) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
addition(B,addition(addition(A,B),X_18)) = addition(B,addition(A,addition(B,X_18))),
inference(resolve,[$cnf( $equal(addition(addition(A,B),X_18),addition(A,addition(B,X_18))) )],[refute_0_370,refute_0_373]) ).
cnf(refute_0_375,plain,
( addition(X_14,X_15) != addition(X_15,X_14)
| addition(X_14,addition(X_15,X_16)) != addition(addition(X_14,X_15),X_16)
| addition(X_14,addition(X_15,X_16)) = addition(addition(X_15,X_14),X_16) ),
introduced(tautology,[equality,[$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_376,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( $equal(addition(X_14,X_15),addition(X_15,X_14)) )],[refute_0_279,refute_0_375]) ).
cnf(refute_0_377,plain,
addition(X_14,addition(X_15,X_16)) = addition(addition(X_15,X_14),X_16),
inference(resolve,[$cnf( $equal(addition(X_14,addition(X_15,X_16)),addition(addition(X_14,X_15),X_16)) )],[refute_0_80,refute_0_376]) ).
cnf(refute_0_378,plain,
addition(addition(X_15,X_14),X_16) = addition(X_15,addition(X_14,X_16)),
inference(subst,[],[refute_0_88:[bind(A,$fot(X_15)),bind(B,$fot(X_14)),bind(C,$fot(X_16))]]) ).
cnf(refute_0_379,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_380,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( $equal(addition(addition(X_15,X_14),X_16),addition(X_15,addition(X_14,X_16))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
addition(X_14,addition(X_15,X_16)) = addition(X_15,addition(X_14,X_16)),
inference(resolve,[$cnf( $equal(addition(X_14,addition(X_15,X_16)),addition(addition(X_15,X_14),X_16)) )],[refute_0_377,refute_0_380]) ).
cnf(refute_0_382,plain,
( addition(X_14,addition(X_15,X_16)) != addition(X_15,addition(X_14,X_16))
| addition(X_15,addition(X_14,X_16)) = addition(X_14,addition(X_15,X_16)) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(addition(X_14,addition(X_15,X_16)))),bind(Y,$fot(addition(X_15,addition(X_14,X_16))))]]) ).
cnf(refute_0_383,plain,
addition(X_15,addition(X_14,X_16)) = addition(X_14,addition(X_15,X_16)),
inference(resolve,[$cnf( $equal(addition(X_14,addition(X_15,X_16)),addition(X_15,addition(X_14,X_16))) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
addition(addition(A,B),addition(B,X_18)) = addition(B,addition(addition(A,B),X_18)),
inference(subst,[],[refute_0_383:[bind(X_14,$fot(B)),bind(X_15,$fot(addition(A,B))),bind(X_16,$fot(X_18))]]) ).
cnf(refute_0_385,plain,
( addition(B,addition(addition(A,B),X_18)) != addition(B,addition(A,addition(B,X_18)))
| addition(addition(A,B),addition(B,X_18)) != addition(B,addition(addition(A,B),X_18))
| addition(addition(A,B),addition(B,X_18)) = addition(B,addition(A,addition(B,X_18))) ),
inference(subst,[],[refute_0_107:[bind(X,$fot(addition(addition(A,B),addition(B,X_18)))),bind(Y,$fot(addition(B,addition(addition(A,B),X_18)))),bind(Z,$fot(addition(B,addition(A,addition(B,X_18)))))]]) ).
cnf(refute_0_386,plain,
( addition(B,addition(addition(A,B),X_18)) != addition(B,addition(A,addition(B,X_18)))
| addition(addition(A,B),addition(B,X_18)) = addition(B,addition(A,addition(B,X_18))) ),
inference(resolve,[$cnf( $equal(addition(addition(A,B),addition(B,X_18)),addition(B,addition(addition(A,B),X_18))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
addition(addition(A,B),addition(B,X_18)) = addition(B,addition(A,addition(B,X_18))),
inference(resolve,[$cnf( $equal(addition(B,addition(addition(A,B),X_18)),addition(B,addition(A,addition(B,X_18)))) )],[refute_0_374,refute_0_386]) ).
cnf(refute_0_388,plain,
( addition(A,addition(B,X_18)) != addition(addition(A,B),addition(B,X_18))
| addition(addition(A,B),addition(B,X_18)) != addition(B,addition(A,addition(B,X_18)))
| addition(A,addition(B,X_18)) = addition(B,addition(A,addition(B,X_18))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(B,X_18)),addition(B,addition(A,addition(B,X_18)))) ),[0],$fot(addition(addition(A,B),addition(B,X_18)))]]) ).
cnf(refute_0_389,plain,
( addition(A,addition(B,X_18)) != addition(addition(A,B),addition(B,X_18))
| addition(A,addition(B,X_18)) = addition(B,addition(A,addition(B,X_18))) ),
inference(resolve,[$cnf( $equal(addition(addition(A,B),addition(B,X_18)),addition(B,addition(A,addition(B,X_18)))) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
addition(A,addition(B,X_18)) = addition(B,addition(A,addition(B,X_18))),
inference(resolve,[$cnf( $equal(addition(A,addition(B,X_18)),addition(addition(A,B),addition(B,X_18))) )],[refute_0_369,refute_0_389]) ).
cnf(refute_0_391,plain,
( addition(A,addition(B,X_18)) != addition(B,addition(A,addition(B,X_18)))
| addition(B,addition(A,addition(B,X_18))) = addition(A,addition(B,X_18)) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(addition(A,addition(B,X_18)))),bind(Y,$fot(addition(B,addition(A,addition(B,X_18)))))]]) ).
cnf(refute_0_392,plain,
addition(B,addition(A,addition(B,X_18))) = addition(A,addition(B,X_18)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,X_18)),addition(B,addition(A,addition(B,X_18)))) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
addition(skolemFOFtoCNF_X2,addition(X_89,addition(skolemFOFtoCNF_X2,C))) = addition(X_89,addition(skolemFOFtoCNF_X2,C)),
inference(subst,[],[refute_0_392:[bind(A,$fot(X_89)),bind(B,$fot(skolemFOFtoCNF_X2)),bind(X_18,$fot(C))]]) ).
cnf(refute_0_394,plain,
addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2)) = addition(skolemFOFtoCNF_X2,addition(X_89,addition(skolemFOFtoCNF_X2,C))),
inference(subst,[],[refute_0_220:[bind(A,$fot(skolemFOFtoCNF_X2)),bind(B,$fot(addition(skolemFOFtoCNF_X2,C))),bind(X_26,$fot(X_89))]]) ).
cnf(refute_0_395,plain,
( addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2)) != addition(skolemFOFtoCNF_X2,addition(X_89,addition(skolemFOFtoCNF_X2,C)))
| addition(skolemFOFtoCNF_X2,addition(X_89,addition(skolemFOFtoCNF_X2,C))) != addition(X_89,addition(skolemFOFtoCNF_X2,C))
| addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2)) = addition(X_89,addition(skolemFOFtoCNF_X2,C)) ),
inference(subst,[],[refute_0_107:[bind(X,$fot(addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2)))),bind(Y,$fot(addition(skolemFOFtoCNF_X2,addition(X_89,addition(skolemFOFtoCNF_X2,C))))),bind(Z,$fot(addition(X_89,addition(skolemFOFtoCNF_X2,C))))]]) ).
cnf(refute_0_396,plain,
( addition(skolemFOFtoCNF_X2,addition(X_89,addition(skolemFOFtoCNF_X2,C))) != addition(X_89,addition(skolemFOFtoCNF_X2,C))
| addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2)) = addition(X_89,addition(skolemFOFtoCNF_X2,C)) ),
inference(resolve,[$cnf( $equal(addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2)),addition(skolemFOFtoCNF_X2,addition(X_89,addition(skolemFOFtoCNF_X2,C)))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2)) = addition(X_89,addition(skolemFOFtoCNF_X2,C)),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(X_89,addition(skolemFOFtoCNF_X2,C))),addition(X_89,addition(skolemFOFtoCNF_X2,C))) )],[refute_0_393,refute_0_396]) ).
cnf(refute_0_398,plain,
( addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2)) != addition(X_89,addition(skolemFOFtoCNF_X2,C))
| addition(skolemFOFtoCNF_X2,addition(X_89,C)) != addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2))
| addition(skolemFOFtoCNF_X2,addition(X_89,C)) = addition(X_89,addition(skolemFOFtoCNF_X2,C)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(X_89,C)),addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2))) ),[1],$fot(addition(X_89,addition(skolemFOFtoCNF_X2,C)))]]) ).
cnf(refute_0_399,plain,
( addition(skolemFOFtoCNF_X2,addition(X_89,C)) != addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2))
| addition(skolemFOFtoCNF_X2,addition(X_89,C)) = addition(X_89,addition(skolemFOFtoCNF_X2,C)) ),
inference(resolve,[$cnf( $equal(addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2)),addition(X_89,addition(skolemFOFtoCNF_X2,C))) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
( addition(skolemFOFtoCNF_X2,addition(X_89,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)))) != addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2))
| addition(skolemFOFtoCNF_X2,addition(X_89,C)) = addition(X_89,addition(skolemFOFtoCNF_X2,C)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(X_89,C)),addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2))) )],[refute_0_364,refute_0_399]) ).
cnf(refute_0_401,plain,
addition(skolemFOFtoCNF_X2,addition(X_89,C)) = addition(X_89,addition(skolemFOFtoCNF_X2,C)),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(X_89,addition(multiplication(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X1_1)),addition(C,skolemFOFtoCNF_X2)))),addition(addition(skolemFOFtoCNF_X2,C),addition(X_89,skolemFOFtoCNF_X2))) )],[refute_0_353,refute_0_400]) ).
cnf(refute_0_402,plain,
addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))) = addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_401:[bind(C,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))),bind(X_89,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_403,plain,
test(skolemFOFtoCNF_X2),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_404,plain,
( ~ test(skolemFOFtoCNF_X2)
| complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X2),skolemFOFtoCNF_X2) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_405,plain,
complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),
inference(resolve,[$cnf( test(skolemFOFtoCNF_X2) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
( ~ complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)
| addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2)) = one ),
inference(subst,[],[refute_0_33:[bind(X0,$fot(skolemFOFtoCNF_X2)),bind(X1,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_407,plain,
addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2)) = one,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X2),skolemFOFtoCNF_X2) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
( addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))) != addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2)))
| addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2)) != one
| addition(skolemFOFtoCNF_X2,one) = addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))),addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_409,plain,
( addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))) != addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2)))
| addition(skolemFOFtoCNF_X2,one) = addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2)),one) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
addition(skolemFOFtoCNF_X2,one) = addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))),addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2)))) )],[refute_0_402,refute_0_409]) ).
cnf(refute_0_411,plain,
addition(skolemFOFtoCNF_X2,one) = addition(one,skolemFOFtoCNF_X2),
inference(subst,[],[refute_0_38:[bind(A,$fot(one)),bind(B,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_412,plain,
( addition(skolemFOFtoCNF_X2,one) != addition(one,skolemFOFtoCNF_X2)
| addition(skolemFOFtoCNF_X2,one) != addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2)))
| addition(one,skolemFOFtoCNF_X2) = addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X2,one),addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2)))) ),[0],$fot(addition(one,skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_413,plain,
( addition(skolemFOFtoCNF_X2,one) != addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2)))
| addition(one,skolemFOFtoCNF_X2) = addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,one),addition(one,skolemFOFtoCNF_X2)) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))) = addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_8:[bind(X_15,$fot(skolemFOFtoCNF_X2)),bind(X_16,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_415,plain,
( addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))) != addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))
| addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2)) != one
| addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))) = one ),
inference(subst,[],[refute_0_107:[bind(X,$fot(addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))))),bind(Y,$fot(addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_416,plain,
( addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2)) != one
| addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))) = one ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))),addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))) = one,
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2)),one) )],[refute_0_407,refute_0_416]) ).
cnf(refute_0_418,plain,
( addition(one,skolemFOFtoCNF_X2) != addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2)))
| addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))) != one
| addition(one,skolemFOFtoCNF_X2) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(one,skolemFOFtoCNF_X2),one) ),[0],$fot(addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_419,plain,
( addition(one,skolemFOFtoCNF_X2) != addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2)))
| addition(one,skolemFOFtoCNF_X2) = one ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2))),one) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
( addition(skolemFOFtoCNF_X2,one) != addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2)))
| addition(one,skolemFOFtoCNF_X2) = one ),
inference(resolve,[$cnf( $equal(addition(one,skolemFOFtoCNF_X2),addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2)))) )],[refute_0_413,refute_0_419]) ).
cnf(refute_0_421,plain,
addition(one,skolemFOFtoCNF_X2) = one,
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X2,one),addition(skolemFOFtoCNF_X2,addition(skolemFOFtoCNF_X2,skolemFOFtoCNF_X1(skolemFOFtoCNF_X2)))) )],[refute_0_410,refute_0_420]) ).
cnf(refute_0_422,plain,
( addition(one,skolemFOFtoCNF_X2) != one
| multiplication(X_36,addition(one,skolemFOFtoCNF_X2)) != addition(X_36,multiplication(X_36,skolemFOFtoCNF_X2))
| multiplication(X_36,one) = addition(X_36,multiplication(X_36,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_36,addition(one,skolemFOFtoCNF_X2)),addition(X_36,multiplication(X_36,skolemFOFtoCNF_X2))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_423,plain,
( multiplication(X_36,addition(one,skolemFOFtoCNF_X2)) != addition(X_36,multiplication(X_36,skolemFOFtoCNF_X2))
| multiplication(X_36,one) = addition(X_36,multiplication(X_36,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(addition(one,skolemFOFtoCNF_X2),one) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
multiplication(X_36,one) = addition(X_36,multiplication(X_36,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(multiplication(X_36,addition(one,skolemFOFtoCNF_X2)),addition(X_36,multiplication(X_36,skolemFOFtoCNF_X2))) )],[refute_0_329,refute_0_423]) ).
cnf(refute_0_425,plain,
multiplication(X_36,one) = X_36,
inference(subst,[],[refute_0_250:[bind(A,$fot(X_36))]]) ).
cnf(refute_0_426,plain,
( multiplication(X_36,one) != X_36
| multiplication(X_36,one) != addition(X_36,multiplication(X_36,skolemFOFtoCNF_X2))
| X_36 = addition(X_36,multiplication(X_36,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_36,one),addition(X_36,multiplication(X_36,skolemFOFtoCNF_X2))) ),[0],$fot(X_36)]]) ).
cnf(refute_0_427,plain,
( multiplication(X_36,one) != addition(X_36,multiplication(X_36,skolemFOFtoCNF_X2))
| X_36 = addition(X_36,multiplication(X_36,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(multiplication(X_36,one),X_36) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
X_36 = addition(X_36,multiplication(X_36,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(multiplication(X_36,one),addition(X_36,multiplication(X_36,skolemFOFtoCNF_X2))) )],[refute_0_424,refute_0_427]) ).
cnf(refute_0_429,plain,
( X_36 != addition(X_36,multiplication(X_36,skolemFOFtoCNF_X2))
| addition(X_36,multiplication(X_36,skolemFOFtoCNF_X2)) = X_36 ),
inference(subst,[],[refute_0_19:[bind(X,$fot(X_36)),bind(Y,$fot(addition(X_36,multiplication(X_36,skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_430,plain,
addition(X_36,multiplication(X_36,skolemFOFtoCNF_X2)) = X_36,
inference(resolve,[$cnf( $equal(X_36,addition(X_36,multiplication(X_36,skolemFOFtoCNF_X2))) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_430:[bind(X_36,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_432,plain,
multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,C)) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X0,C)),
inference(subst,[],[refute_0_52:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_433,plain,
( multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,C)) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X0,C))
| multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,C)) = addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,C)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X0,C))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_434,plain,
( multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,C)) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X0,C))
| multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,C)) = addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,C)) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_296,refute_0_433]) ).
cnf(refute_0_435,plain,
multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,C)) = addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,C)),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,C)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X0,C))) )],[refute_0_432,refute_0_434]) ).
cnf(refute_0_436,plain,
multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_435:[bind(C,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_437,plain,
( addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != skolemFOFtoCNF_X0
| multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_107:[bind(X,$fot(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))),bind(Y,$fot(addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))),bind(Z,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_438,plain,
( addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != skolemFOFtoCNF_X0
| multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0) )],[refute_0_431,refute_0_438]) ).
cnf(refute_0_440,plain,
( multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != skolemFOFtoCNF_X0
| multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)) != multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),[1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_441,plain,
( multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)) != multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
( multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2)) != multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_312,refute_0_441]) ).
cnf(refute_0_443,plain,
multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_266,refute_0_442]) ).
cnf(refute_0_444,plain,
( multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)) != skolemFOFtoCNF_X0
| ~ leq(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)),addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2))
| leq(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)),addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)) ),[0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_445,plain,
( ~ leq(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)),addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2))
| leq(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)),skolemFOFtoCNF_X0) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
leq(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( leq(multiplication(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)),addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)) )],[refute_0_51,refute_0_445]) ).
cnf(refute_0_447,plain,
~ leq(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_448,plain,
$false,
inference(resolve,[$cnf( leq(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2)) )],[refute_0_446,refute_0_447]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : KLE018+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 16:34:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 223.70/223.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 223.70/223.87
% 223.70/223.87 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 223.70/223.91
%------------------------------------------------------------------------------