TSTP Solution File: KLE010+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE010+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 02:14:34 EDT 2022
% Result : Theorem 1.76s 1.94s
% Output : CNFRefutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 75
% Syntax : Number of formulae : 372 ( 191 unt; 0 def)
% Number of atoms : 651 ( 583 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 552 ( 273 ~; 252 |; 14 &)
% ( 9 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 474 ( 0 sgn 76 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [A,B] : addition(A,B) = addition(B,A) ).
fof(additive_associativity,axiom,
! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) ).
fof(additive_idempotence,axiom,
! [A] : addition(A,A) = A ).
fof(multiplicative_right_identity,axiom,
! [A] : multiplication(A,one) = A ).
fof(multiplicative_left_identity,axiom,
! [A] : multiplication(one,A) = A ).
fof(right_distributivity,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) ).
fof(left_distributivity,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) ).
fof(test_1,axiom,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ) ).
fof(test_2,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ) ).
fof(test_3,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ) ).
fof(goals,conjecture,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> one = addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))) ) ).
fof(subgoal_0,plain,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> one = addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))) ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1] :
( ( test(X1)
& test(X0) )
=> one = addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[additive_associativity]) ).
fof(normalize_0_1,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[additive_idempotence]) ).
fof(normalize_0_3,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_5,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
? [X0,X1] :
( one != addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1)))
& test(X0)
& test(X1) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_7,plain,
( one != addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))
& test(skolemFOFtoCNF_X0)
& test(skolemFOFtoCNF_X1_1) ),
inference(skolemize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
test(skolemFOFtoCNF_X0),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X0] :
( ~ test(X0)
| ! [X1] :
( c(X0) != X1
<=> ~ complement(X0,X1) ) ),
inference(canonicalize,[],[test_3]) ).
fof(normalize_0_10,plain,
! [X0] :
( ~ test(X0)
| ! [X1] :
( c(X0) != X1
<=> ~ complement(X0,X1) ) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X0,X1] :
( ( c(X0) != X1
| ~ test(X0)
| complement(X0,X1) )
& ( ~ complement(X0,X1)
| ~ test(X0)
| c(X0) = X1 ) ),
inference(clausify,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0,X1] :
( c(X0) != X1
| ~ test(X0)
| complement(X0,X1) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,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_14,plain,
! [X0,X1] :
( ~ complement(X1,X0)
<=> ( addition(X0,X1) != one
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero ) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,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_14]) ).
fof(normalize_0_16,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_0_18,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_20,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
test(skolemFOFtoCNF_X1_1),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_22,plain,
! [X0] :
( ~ test(X0)
<=> ! [X1] : ~ complement(X1,X0) ),
inference(canonicalize,[],[test_1]) ).
fof(normalize_0_23,plain,
! [X0] :
( ~ test(X0)
<=> ! [X1] : ~ complement(X1,X0) ),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [X0,X1] :
( ( ~ complement(X1,X0)
| test(X0) )
& ( ~ test(X0)
| complement(skolemFOFtoCNF_X1(X0),X0) ) ),
inference(clausify,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [X0] :
( ~ test(X0)
| complement(skolemFOFtoCNF_X1(X0),X0) ),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
one != addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_27,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_28,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_30,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_29]) ).
cnf(refute_0_0,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
addition(A,addition(B,addition(X_50,B))) = addition(addition(A,B),addition(X_50,B)),
inference(subst,[],[refute_0_0:[bind(C,$fot(addition(X_50,B)))]]) ).
cnf(refute_0_2,plain,
addition(addition(X_25,X_26),addition(X_25,X_26)) = addition(addition(addition(X_25,X_26),X_25),X_26),
inference(subst,[],[refute_0_0:[bind(A,$fot(addition(X_25,X_26))),bind(B,$fot(X_25)),bind(C,$fot(X_26))]]) ).
cnf(refute_0_3,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_4,plain,
addition(addition(X_25,X_26),addition(X_25,X_26)) = addition(X_25,X_26),
inference(subst,[],[refute_0_3:[bind(A,$fot(addition(X_25,X_26)))]]) ).
cnf(refute_0_5,plain,
( addition(addition(X_25,X_26),addition(X_25,X_26)) != addition(X_25,X_26)
| addition(addition(X_25,X_26),addition(X_25,X_26)) != addition(addition(addition(X_25,X_26),X_25),X_26)
| addition(X_25,X_26) = addition(addition(addition(X_25,X_26),X_25),X_26) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_25,X_26),addition(X_25,X_26)),addition(addition(addition(X_25,X_26),X_25),X_26)) ),[0],$fot(addition(X_25,X_26))]]) ).
cnf(refute_0_6,plain,
( addition(addition(X_25,X_26),addition(X_25,X_26)) != addition(addition(addition(X_25,X_26),X_25),X_26)
| addition(X_25,X_26) = addition(addition(addition(X_25,X_26),X_25),X_26) ),
inference(resolve,[$cnf( $equal(addition(addition(X_25,X_26),addition(X_25,X_26)),addition(X_25,X_26)) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
addition(X_25,X_26) = addition(addition(addition(X_25,X_26),X_25),X_26),
inference(resolve,[$cnf( $equal(addition(addition(X_25,X_26),addition(X_25,X_26)),addition(addition(addition(X_25,X_26),X_25),X_26)) )],[refute_0_2,refute_0_6]) ).
cnf(refute_0_8,plain,
addition(X_24,addition(X_25,X_26)) = addition(addition(X_24,X_25),X_26),
inference(subst,[],[refute_0_0:[bind(A,$fot(X_24)),bind(B,$fot(X_25)),bind(C,$fot(X_26))]]) ).
cnf(refute_0_9,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_10,plain,
addition(X_26,X_25) = addition(X_25,X_26),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_26)),bind(B,$fot(X_25))]]) ).
cnf(refute_0_11,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_12,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_13,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( addition(X_26,X_25) != addition(X_25,X_26)
| addition(X_25,X_26) = addition(X_26,X_25) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_26,X_25))),bind(Y,$fot(addition(X_25,X_26)))]]) ).
cnf(refute_0_15,plain,
addition(X_25,X_26) = addition(X_26,X_25),
inference(resolve,[$cnf( $equal(addition(X_26,X_25),addition(X_25,X_26)) )],[refute_0_10,refute_0_14]) ).
cnf(refute_0_16,plain,
( addition(X_24,addition(X_25,X_26)) != addition(addition(X_24,X_25),X_26)
| addition(X_25,X_26) != addition(X_26,X_25)
| addition(X_24,addition(X_26,X_25)) = addition(addition(X_24,X_25),X_26) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_24,addition(X_25,X_26)),addition(addition(X_24,X_25),X_26)) ),[0,1],$fot(addition(X_26,X_25))]]) ).
cnf(refute_0_17,plain,
( addition(X_24,addition(X_25,X_26)) != addition(addition(X_24,X_25),X_26)
| addition(X_24,addition(X_26,X_25)) = addition(addition(X_24,X_25),X_26) ),
inference(resolve,[$cnf( $equal(addition(X_25,X_26),addition(X_26,X_25)) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
addition(X_24,addition(X_26,X_25)) = addition(addition(X_24,X_25),X_26),
inference(resolve,[$cnf( $equal(addition(X_24,addition(X_25,X_26)),addition(addition(X_24,X_25),X_26)) )],[refute_0_8,refute_0_17]) ).
cnf(refute_0_19,plain,
( addition(A,addition(B,C)) != addition(addition(A,B),C)
| addition(addition(A,B),C) = addition(A,addition(B,C)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(A,addition(B,C)))),bind(Y,$fot(addition(addition(A,B),C)))]]) ).
cnf(refute_0_20,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,C)),addition(addition(A,B),C)) )],[refute_0_0,refute_0_19]) ).
cnf(refute_0_21,plain,
addition(addition(X_24,X_25),X_26) = addition(X_24,addition(X_25,X_26)),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_24)),bind(B,$fot(X_25)),bind(C,$fot(X_26))]]) ).
cnf(refute_0_22,plain,
( addition(X_24,addition(X_26,X_25)) != addition(addition(X_24,X_25),X_26)
| addition(addition(X_24,X_25),X_26) != addition(X_24,addition(X_25,X_26))
| addition(X_24,addition(X_26,X_25)) = addition(X_24,addition(X_25,X_26)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_24,addition(X_26,X_25)),addition(X_24,addition(X_25,X_26))) ),[0],$fot(addition(addition(X_24,X_25),X_26))]]) ).
cnf(refute_0_23,plain,
( addition(X_24,addition(X_26,X_25)) != addition(addition(X_24,X_25),X_26)
| addition(X_24,addition(X_26,X_25)) = addition(X_24,addition(X_25,X_26)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_24,X_25),X_26),addition(X_24,addition(X_25,X_26))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
addition(X_24,addition(X_26,X_25)) = addition(X_24,addition(X_25,X_26)),
inference(resolve,[$cnf( $equal(addition(X_24,addition(X_26,X_25)),addition(addition(X_24,X_25),X_26)) )],[refute_0_18,refute_0_23]) ).
cnf(refute_0_25,plain,
( addition(X_24,addition(X_26,X_25)) != addition(X_24,addition(X_25,X_26))
| addition(X_24,addition(X_25,X_26)) = addition(X_24,addition(X_26,X_25)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_24,addition(X_26,X_25)))),bind(Y,$fot(addition(X_24,addition(X_25,X_26))))]]) ).
cnf(refute_0_26,plain,
addition(X_24,addition(X_25,X_26)) = addition(X_24,addition(X_26,X_25)),
inference(resolve,[$cnf( $equal(addition(X_24,addition(X_26,X_25)),addition(X_24,addition(X_25,X_26))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
addition(X_26,addition(addition(X_25,X_26),X_25)) = addition(X_26,addition(X_25,addition(X_25,X_26))),
inference(subst,[],[refute_0_26:[bind(X_24,$fot(X_26)),bind(X_25,$fot(addition(X_25,X_26))),bind(X_26,$fot(X_25))]]) ).
cnf(refute_0_28,plain,
addition(A,addition(X_24,X_25)) = addition(addition(X_24,X_25),A),
inference(subst,[],[refute_0_9:[bind(B,$fot(addition(X_24,X_25)))]]) ).
cnf(refute_0_29,plain,
addition(X_24,addition(X_25,A)) = addition(addition(X_24,X_25),A),
inference(subst,[],[refute_0_0:[bind(A,$fot(X_24)),bind(B,$fot(X_25)),bind(C,$fot(A))]]) ).
cnf(refute_0_30,plain,
( addition(X_24,addition(X_25,A)) != addition(addition(X_24,X_25),A)
| addition(addition(X_24,X_25),A) = addition(X_24,addition(X_25,A)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_24,addition(X_25,A)))),bind(Y,$fot(addition(addition(X_24,X_25),A)))]]) ).
cnf(refute_0_31,plain,
addition(addition(X_24,X_25),A) = addition(X_24,addition(X_25,A)),
inference(resolve,[$cnf( $equal(addition(X_24,addition(X_25,A)),addition(addition(X_24,X_25),A)) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
( addition(A,addition(X_24,X_25)) != addition(addition(X_24,X_25),A)
| addition(addition(X_24,X_25),A) != addition(X_24,addition(X_25,A))
| addition(A,addition(X_24,X_25)) = addition(X_24,addition(X_25,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_24,X_25)),addition(X_24,addition(X_25,A))) ),[0],$fot(addition(addition(X_24,X_25),A))]]) ).
cnf(refute_0_33,plain,
( addition(A,addition(X_24,X_25)) != addition(addition(X_24,X_25),A)
| addition(A,addition(X_24,X_25)) = addition(X_24,addition(X_25,A)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_24,X_25),A),addition(X_24,addition(X_25,A))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
addition(A,addition(X_24,X_25)) = addition(X_24,addition(X_25,A)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_24,X_25)),addition(addition(X_24,X_25),A)) )],[refute_0_28,refute_0_33]) ).
cnf(refute_0_35,plain,
( addition(A,addition(X_24,X_25)) != addition(X_24,addition(X_25,A))
| addition(X_24,addition(X_25,A)) = addition(A,addition(X_24,X_25)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(A,addition(X_24,X_25)))),bind(Y,$fot(addition(X_24,addition(X_25,A))))]]) ).
cnf(refute_0_36,plain,
addition(X_24,addition(X_25,A)) = addition(A,addition(X_24,X_25)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_24,X_25)),addition(X_24,addition(X_25,A))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
addition(addition(X_25,X_26),addition(X_25,X_26)) = addition(X_26,addition(addition(X_25,X_26),X_25)),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_26)),bind(X_24,$fot(addition(X_25,X_26)))]]) ).
cnf(refute_0_38,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_39,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_13,refute_0_38]) ).
cnf(refute_0_40,plain,
( addition(X_26,addition(addition(X_25,X_26),X_25)) != addition(X_26,addition(X_25,addition(X_25,X_26)))
| addition(addition(X_25,X_26),addition(X_25,X_26)) != addition(X_26,addition(addition(X_25,X_26),X_25))
| addition(addition(X_25,X_26),addition(X_25,X_26)) = addition(X_26,addition(X_25,addition(X_25,X_26))) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(addition(addition(X_25,X_26),addition(X_25,X_26)))),bind(Y,$fot(addition(X_26,addition(addition(X_25,X_26),X_25)))),bind(Z,$fot(addition(X_26,addition(X_25,addition(X_25,X_26)))))]]) ).
cnf(refute_0_41,plain,
( addition(X_26,addition(addition(X_25,X_26),X_25)) != addition(X_26,addition(X_25,addition(X_25,X_26)))
| addition(addition(X_25,X_26),addition(X_25,X_26)) = addition(X_26,addition(X_25,addition(X_25,X_26))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_25,X_26),addition(X_25,X_26)),addition(X_26,addition(addition(X_25,X_26),X_25))) )],[refute_0_37,refute_0_40]) ).
cnf(refute_0_42,plain,
addition(addition(X_25,X_26),addition(X_25,X_26)) = addition(X_26,addition(X_25,addition(X_25,X_26))),
inference(resolve,[$cnf( $equal(addition(X_26,addition(addition(X_25,X_26),X_25)),addition(X_26,addition(X_25,addition(X_25,X_26)))) )],[refute_0_27,refute_0_41]) ).
cnf(refute_0_43,plain,
addition(addition(addition(X_25,X_26),X_25),X_26) = addition(addition(X_25,X_26),addition(X_25,X_26)),
inference(subst,[],[refute_0_20:[bind(A,$fot(addition(X_25,X_26))),bind(B,$fot(X_25)),bind(C,$fot(X_26))]]) ).
cnf(refute_0_44,plain,
( addition(addition(X_25,X_26),addition(X_25,X_26)) != addition(X_26,addition(X_25,addition(X_25,X_26)))
| addition(addition(addition(X_25,X_26),X_25),X_26) != addition(addition(X_25,X_26),addition(X_25,X_26))
| addition(addition(addition(X_25,X_26),X_25),X_26) = addition(X_26,addition(X_25,addition(X_25,X_26))) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(addition(addition(addition(X_25,X_26),X_25),X_26))),bind(Y,$fot(addition(addition(X_25,X_26),addition(X_25,X_26)))),bind(Z,$fot(addition(X_26,addition(X_25,addition(X_25,X_26)))))]]) ).
cnf(refute_0_45,plain,
( addition(addition(X_25,X_26),addition(X_25,X_26)) != addition(X_26,addition(X_25,addition(X_25,X_26)))
| addition(addition(addition(X_25,X_26),X_25),X_26) = addition(X_26,addition(X_25,addition(X_25,X_26))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_25,X_26),X_25),X_26),addition(addition(X_25,X_26),addition(X_25,X_26))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
addition(addition(addition(X_25,X_26),X_25),X_26) = addition(X_26,addition(X_25,addition(X_25,X_26))),
inference(resolve,[$cnf( $equal(addition(addition(X_25,X_26),addition(X_25,X_26)),addition(X_26,addition(X_25,addition(X_25,X_26)))) )],[refute_0_42,refute_0_45]) ).
cnf(refute_0_47,plain,
( addition(X_25,X_26) != addition(addition(addition(X_25,X_26),X_25),X_26)
| addition(addition(addition(X_25,X_26),X_25),X_26) != addition(X_26,addition(X_25,addition(X_25,X_26)))
| addition(X_25,X_26) = addition(X_26,addition(X_25,addition(X_25,X_26))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_25,X_26),addition(X_26,addition(X_25,addition(X_25,X_26)))) ),[0],$fot(addition(addition(addition(X_25,X_26),X_25),X_26))]]) ).
cnf(refute_0_48,plain,
( addition(X_25,X_26) != addition(addition(addition(X_25,X_26),X_25),X_26)
| addition(X_25,X_26) = addition(X_26,addition(X_25,addition(X_25,X_26))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_25,X_26),X_25),X_26),addition(X_26,addition(X_25,addition(X_25,X_26)))) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
addition(X_25,X_26) = addition(X_26,addition(X_25,addition(X_25,X_26))),
inference(resolve,[$cnf( $equal(addition(X_25,X_26),addition(addition(addition(X_25,X_26),X_25),X_26)) )],[refute_0_7,refute_0_48]) ).
cnf(refute_0_50,plain,
addition(X_25,addition(X_25,X_26)) = addition(addition(X_25,X_25),X_26),
inference(subst,[],[refute_0_0:[bind(A,$fot(X_25)),bind(B,$fot(X_25)),bind(C,$fot(X_26))]]) ).
cnf(refute_0_51,plain,
addition(X_25,X_25) = X_25,
inference(subst,[],[refute_0_3:[bind(A,$fot(X_25))]]) ).
cnf(refute_0_52,plain,
( addition(X_25,X_25) != X_25
| addition(X_25,addition(X_25,X_26)) != addition(addition(X_25,X_25),X_26)
| addition(X_25,addition(X_25,X_26)) = addition(X_25,X_26) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_25,addition(X_25,X_26)),addition(addition(X_25,X_25),X_26)) ),[1,0],$fot(X_25)]]) ).
cnf(refute_0_53,plain,
( addition(X_25,addition(X_25,X_26)) != addition(addition(X_25,X_25),X_26)
| addition(X_25,addition(X_25,X_26)) = addition(X_25,X_26) ),
inference(resolve,[$cnf( $equal(addition(X_25,X_25),X_25) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
addition(X_25,addition(X_25,X_26)) = addition(X_25,X_26),
inference(resolve,[$cnf( $equal(addition(X_25,addition(X_25,X_26)),addition(addition(X_25,X_25),X_26)) )],[refute_0_50,refute_0_53]) ).
cnf(refute_0_55,plain,
addition(X_26,addition(X_25,addition(X_25,X_26))) = addition(X_26,addition(X_25,addition(X_25,X_26))),
introduced(tautology,[refl,[$fot(addition(X_26,addition(X_25,addition(X_25,X_26))))]]) ).
cnf(refute_0_56,plain,
( addition(X_25,addition(X_25,X_26)) != addition(X_25,X_26)
| addition(X_26,addition(X_25,addition(X_25,X_26))) != addition(X_26,addition(X_25,addition(X_25,X_26)))
| addition(X_26,addition(X_25,addition(X_25,X_26))) = addition(X_26,addition(X_25,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_26,addition(X_25,addition(X_25,X_26))),addition(X_26,addition(X_25,addition(X_25,X_26)))) ),[1,1],$fot(addition(X_25,X_26))]]) ).
cnf(refute_0_57,plain,
( addition(X_25,addition(X_25,X_26)) != addition(X_25,X_26)
| addition(X_26,addition(X_25,addition(X_25,X_26))) = addition(X_26,addition(X_25,X_26)) ),
inference(resolve,[$cnf( $equal(addition(X_26,addition(X_25,addition(X_25,X_26))),addition(X_26,addition(X_25,addition(X_25,X_26)))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
addition(X_26,addition(X_25,addition(X_25,X_26))) = addition(X_26,addition(X_25,X_26)),
inference(resolve,[$cnf( $equal(addition(X_25,addition(X_25,X_26)),addition(X_25,X_26)) )],[refute_0_54,refute_0_57]) ).
cnf(refute_0_59,plain,
( addition(X_25,X_26) != addition(X_26,addition(X_25,addition(X_25,X_26)))
| addition(X_26,addition(X_25,addition(X_25,X_26))) != addition(X_26,addition(X_25,X_26))
| addition(X_25,X_26) = addition(X_26,addition(X_25,X_26)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_25,X_26),addition(X_26,addition(X_25,X_26))) ),[0],$fot(addition(X_26,addition(X_25,addition(X_25,X_26))))]]) ).
cnf(refute_0_60,plain,
( addition(X_25,X_26) != addition(X_26,addition(X_25,addition(X_25,X_26)))
| addition(X_25,X_26) = addition(X_26,addition(X_25,X_26)) ),
inference(resolve,[$cnf( $equal(addition(X_26,addition(X_25,addition(X_25,X_26))),addition(X_26,addition(X_25,X_26))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
addition(X_25,X_26) = addition(X_26,addition(X_25,X_26)),
inference(resolve,[$cnf( $equal(addition(X_25,X_26),addition(X_26,addition(X_25,addition(X_25,X_26)))) )],[refute_0_49,refute_0_60]) ).
cnf(refute_0_62,plain,
addition(X_50,B) = addition(B,addition(X_50,B)),
inference(subst,[],[refute_0_61:[bind(X_25,$fot(X_50)),bind(X_26,$fot(B))]]) ).
cnf(refute_0_63,plain,
( addition(X_50,B) != addition(B,addition(X_50,B))
| addition(B,addition(X_50,B)) = addition(X_50,B) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_50,B))),bind(Y,$fot(addition(B,addition(X_50,B))))]]) ).
cnf(refute_0_64,plain,
addition(B,addition(X_50,B)) = addition(X_50,B),
inference(resolve,[$cnf( $equal(addition(X_50,B),addition(B,addition(X_50,B))) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
( addition(A,addition(B,addition(X_50,B))) != addition(addition(A,B),addition(X_50,B))
| addition(B,addition(X_50,B)) != addition(X_50,B)
| addition(A,addition(X_50,B)) = addition(addition(A,B),addition(X_50,B)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(B,addition(X_50,B))),addition(addition(A,B),addition(X_50,B))) ),[0,1],$fot(addition(X_50,B))]]) ).
cnf(refute_0_66,plain,
( addition(A,addition(B,addition(X_50,B))) != addition(addition(A,B),addition(X_50,B))
| addition(A,addition(X_50,B)) = addition(addition(A,B),addition(X_50,B)) ),
inference(resolve,[$cnf( $equal(addition(B,addition(X_50,B)),addition(X_50,B)) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
addition(A,addition(X_50,B)) = addition(addition(A,B),addition(X_50,B)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,addition(X_50,B))),addition(addition(A,B),addition(X_50,B))) )],[refute_0_1,refute_0_66]) ).
cnf(refute_0_68,plain,
addition(X_25,addition(X_25,addition(X_34,X_35))) = addition(X_25,addition(X_34,X_35)),
inference(subst,[],[refute_0_54:[bind(X_26,$fot(addition(X_34,X_35)))]]) ).
cnf(refute_0_69,plain,
addition(X_25,addition(X_34,X_35)) = addition(X_34,addition(X_35,X_25)),
inference(subst,[],[refute_0_34:[bind(A,$fot(X_25)),bind(X_24,$fot(X_34)),bind(X_25,$fot(X_35))]]) ).
cnf(refute_0_70,plain,
( addition(X_25,addition(X_25,addition(X_34,X_35))) != addition(X_25,addition(X_34,X_35))
| addition(X_25,addition(X_34,X_35)) != addition(X_34,addition(X_35,X_25))
| addition(X_25,addition(X_34,addition(X_35,X_25))) = addition(X_25,addition(X_34,X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_25,addition(X_25,addition(X_34,X_35))),addition(X_25,addition(X_34,X_35))) ),[0,1],$fot(addition(X_34,addition(X_35,X_25)))]]) ).
cnf(refute_0_71,plain,
( addition(X_25,addition(X_25,addition(X_34,X_35))) != addition(X_25,addition(X_34,X_35))
| addition(X_25,addition(X_34,addition(X_35,X_25))) = addition(X_25,addition(X_34,X_35)) ),
inference(resolve,[$cnf( $equal(addition(X_25,addition(X_34,X_35)),addition(X_34,addition(X_35,X_25))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
addition(X_25,addition(X_34,addition(X_35,X_25))) = addition(X_25,addition(X_34,X_35)),
inference(resolve,[$cnf( $equal(addition(X_25,addition(X_25,addition(X_34,X_35))),addition(X_25,addition(X_34,X_35))) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
addition(B,addition(X_50,addition(A,B))) = addition(B,addition(X_50,A)),
inference(subst,[],[refute_0_72:[bind(X_25,$fot(B)),bind(X_34,$fot(X_50)),bind(X_35,$fot(A))]]) ).
cnf(refute_0_74,plain,
addition(X_33,addition(X_34,X_35)) = addition(X_34,addition(X_35,X_33)),
inference(subst,[],[refute_0_34:[bind(A,$fot(X_33)),bind(X_24,$fot(X_34)),bind(X_25,$fot(X_35))]]) ).
cnf(refute_0_75,plain,
addition(X_35,X_34) = addition(X_34,X_35),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_35)),bind(B,$fot(X_34))]]) ).
cnf(refute_0_76,plain,
( addition(X_35,X_34) != addition(X_34,X_35)
| addition(X_34,X_35) = addition(X_35,X_34) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_35,X_34))),bind(Y,$fot(addition(X_34,X_35)))]]) ).
cnf(refute_0_77,plain,
addition(X_34,X_35) = addition(X_35,X_34),
inference(resolve,[$cnf( $equal(addition(X_35,X_34),addition(X_34,X_35)) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
( addition(X_33,addition(X_34,X_35)) != addition(X_34,addition(X_35,X_33))
| addition(X_34,X_35) != addition(X_35,X_34)
| addition(X_33,addition(X_35,X_34)) = addition(X_34,addition(X_35,X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_33,addition(X_34,X_35)),addition(X_34,addition(X_35,X_33))) ),[0,1],$fot(addition(X_35,X_34))]]) ).
cnf(refute_0_79,plain,
( addition(X_33,addition(X_34,X_35)) != addition(X_34,addition(X_35,X_33))
| addition(X_33,addition(X_35,X_34)) = addition(X_34,addition(X_35,X_33)) ),
inference(resolve,[$cnf( $equal(addition(X_34,X_35),addition(X_35,X_34)) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
addition(X_33,addition(X_35,X_34)) = addition(X_34,addition(X_35,X_33)),
inference(resolve,[$cnf( $equal(addition(X_33,addition(X_34,X_35)),addition(X_34,addition(X_35,X_33))) )],[refute_0_74,refute_0_79]) ).
cnf(refute_0_81,plain,
( addition(X_33,addition(X_35,X_34)) != addition(X_34,addition(X_35,X_33))
| addition(X_34,addition(X_35,X_33)) = addition(X_33,addition(X_35,X_34)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_33,addition(X_35,X_34)))),bind(Y,$fot(addition(X_34,addition(X_35,X_33))))]]) ).
cnf(refute_0_82,plain,
addition(X_34,addition(X_35,X_33)) = addition(X_33,addition(X_35,X_34)),
inference(resolve,[$cnf( $equal(addition(X_33,addition(X_35,X_34)),addition(X_34,addition(X_35,X_33))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
addition(addition(A,B),addition(X_50,B)) = addition(B,addition(X_50,addition(A,B))),
inference(subst,[],[refute_0_82:[bind(X_33,$fot(B)),bind(X_34,$fot(addition(A,B))),bind(X_35,$fot(X_50))]]) ).
cnf(refute_0_84,plain,
( addition(B,addition(X_50,addition(A,B))) != addition(B,addition(X_50,A))
| addition(addition(A,B),addition(X_50,B)) != addition(B,addition(X_50,addition(A,B)))
| addition(addition(A,B),addition(X_50,B)) = addition(B,addition(X_50,A)) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(addition(addition(A,B),addition(X_50,B)))),bind(Y,$fot(addition(B,addition(X_50,addition(A,B))))),bind(Z,$fot(addition(B,addition(X_50,A))))]]) ).
cnf(refute_0_85,plain,
( addition(B,addition(X_50,addition(A,B))) != addition(B,addition(X_50,A))
| addition(addition(A,B),addition(X_50,B)) = addition(B,addition(X_50,A)) ),
inference(resolve,[$cnf( $equal(addition(addition(A,B),addition(X_50,B)),addition(B,addition(X_50,addition(A,B)))) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
addition(addition(A,B),addition(X_50,B)) = addition(B,addition(X_50,A)),
inference(resolve,[$cnf( $equal(addition(B,addition(X_50,addition(A,B))),addition(B,addition(X_50,A))) )],[refute_0_73,refute_0_85]) ).
cnf(refute_0_87,plain,
( addition(A,addition(X_50,B)) != addition(addition(A,B),addition(X_50,B))
| addition(addition(A,B),addition(X_50,B)) != addition(B,addition(X_50,A))
| addition(A,addition(X_50,B)) = addition(B,addition(X_50,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_50,B)),addition(B,addition(X_50,A))) ),[0],$fot(addition(addition(A,B),addition(X_50,B)))]]) ).
cnf(refute_0_88,plain,
( addition(A,addition(X_50,B)) != addition(addition(A,B),addition(X_50,B))
| addition(A,addition(X_50,B)) = addition(B,addition(X_50,A)) ),
inference(resolve,[$cnf( $equal(addition(addition(A,B),addition(X_50,B)),addition(B,addition(X_50,A))) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
addition(A,addition(X_50,B)) = addition(B,addition(X_50,A)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_50,B)),addition(addition(A,B),addition(X_50,B))) )],[refute_0_67,refute_0_88]) ).
cnf(refute_0_90,plain,
addition(skolemFOFtoCNF_X0,addition(one,B)) = addition(B,addition(one,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_89:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(X_50,$fot(one))]]) ).
cnf(refute_0_91,plain,
addition(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) = addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_54:[bind(X_25,$fot(skolemFOFtoCNF_X0)),bind(X_26,$fot(c(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_92,plain,
test(skolemFOFtoCNF_X0),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_93,plain,
( c(X0) != X1
| ~ test(X0)
| complement(X0,X1) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_94,plain,
( c(X0) != c(X0)
| ~ test(X0)
| complement(X0,c(X0)) ),
inference(subst,[],[refute_0_93:[bind(X1,$fot(c(X0)))]]) ).
cnf(refute_0_95,plain,
c(X0) = c(X0),
introduced(tautology,[refl,[$fot(c(X0))]]) ).
cnf(refute_0_96,plain,
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(resolve,[$cnf( $equal(c(X0),c(X0)) )],[refute_0_95,refute_0_94]) ).
cnf(refute_0_97,plain,
( ~ test(skolemFOFtoCNF_X0)
| complement(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_96:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_98,plain,
complement(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( test(skolemFOFtoCNF_X0) )],[refute_0_92,refute_0_97]) ).
cnf(refute_0_99,plain,
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_100,plain,
( ~ complement(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))
| addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = one ),
inference(subst,[],[refute_0_99:[bind(X0,$fot(c(skolemFOFtoCNF_X0))),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_101,plain,
addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = one,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) )],[refute_0_98,refute_0_100]) ).
cnf(refute_0_102,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_103,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_9,refute_0_102]) ).
cnf(refute_0_104,plain,
addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_103:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(c(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_105,plain,
( addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))
| addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != one
| addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one) ),[0],$fot(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_106,plain,
( addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != one
| addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) = one ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) = one,
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one) )],[refute_0_101,refute_0_106]) ).
cnf(refute_0_108,plain,
( addition(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) != addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))
| addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) != one
| addition(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))),one) ),[0],$fot(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_109,plain,
( addition(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) != addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))
| addition(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) = one ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),one) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
addition(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) = one,
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))),addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) )],[refute_0_91,refute_0_109]) ).
cnf(refute_0_111,plain,
addition(skolemFOFtoCNF_X0,one) = addition(one,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_103:[bind(A,$fot(one)),bind(B,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_112,plain,
addition(c(skolemFOFtoCNF_X0),addition(X_24,skolemFOFtoCNF_X0)) = addition(X_24,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_34:[bind(A,$fot(c(skolemFOFtoCNF_X0))),bind(X_25,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_113,plain,
( addition(c(skolemFOFtoCNF_X0),addition(X_24,skolemFOFtoCNF_X0)) != addition(X_24,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)))
| addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) != one
| addition(c(skolemFOFtoCNF_X0),addition(X_24,skolemFOFtoCNF_X0)) = addition(X_24,one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),addition(X_24,skolemFOFtoCNF_X0)),addition(X_24,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_114,plain,
( addition(c(skolemFOFtoCNF_X0),addition(X_24,skolemFOFtoCNF_X0)) != addition(X_24,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)))
| addition(c(skolemFOFtoCNF_X0),addition(X_24,skolemFOFtoCNF_X0)) = addition(X_24,one) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),one) )],[refute_0_107,refute_0_113]) ).
cnf(refute_0_115,plain,
addition(c(skolemFOFtoCNF_X0),addition(X_24,skolemFOFtoCNF_X0)) = addition(X_24,one),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),addition(X_24,skolemFOFtoCNF_X0)),addition(X_24,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)))) )],[refute_0_112,refute_0_114]) ).
cnf(refute_0_116,plain,
( addition(A,addition(X_50,B)) != addition(B,addition(X_50,A))
| addition(B,addition(X_50,A)) = addition(A,addition(X_50,B)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(A,addition(X_50,B)))),bind(Y,$fot(addition(B,addition(X_50,A))))]]) ).
cnf(refute_0_117,plain,
addition(B,addition(X_50,A)) = addition(A,addition(X_50,B)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_50,B)),addition(B,addition(X_50,A))) )],[refute_0_89,refute_0_116]) ).
cnf(refute_0_118,plain,
addition(c(skolemFOFtoCNF_X0),addition(X_24,skolemFOFtoCNF_X0)) = addition(skolemFOFtoCNF_X0,addition(X_24,c(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_117:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(c(skolemFOFtoCNF_X0))),bind(X_50,$fot(X_24))]]) ).
cnf(refute_0_119,plain,
( addition(c(skolemFOFtoCNF_X0),addition(X_24,skolemFOFtoCNF_X0)) != addition(X_24,one)
| addition(c(skolemFOFtoCNF_X0),addition(X_24,skolemFOFtoCNF_X0)) != addition(skolemFOFtoCNF_X0,addition(X_24,c(skolemFOFtoCNF_X0)))
| addition(skolemFOFtoCNF_X0,addition(X_24,c(skolemFOFtoCNF_X0))) = addition(X_24,one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),addition(X_24,skolemFOFtoCNF_X0)),addition(X_24,one)) ),[0],$fot(addition(skolemFOFtoCNF_X0,addition(X_24,c(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_120,plain,
( addition(c(skolemFOFtoCNF_X0),addition(X_24,skolemFOFtoCNF_X0)) != addition(X_24,one)
| addition(skolemFOFtoCNF_X0,addition(X_24,c(skolemFOFtoCNF_X0))) = addition(X_24,one) ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),addition(X_24,skolemFOFtoCNF_X0)),addition(skolemFOFtoCNF_X0,addition(X_24,c(skolemFOFtoCNF_X0)))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
addition(skolemFOFtoCNF_X0,addition(X_24,c(skolemFOFtoCNF_X0))) = addition(X_24,one),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X0),addition(X_24,skolemFOFtoCNF_X0)),addition(X_24,one)) )],[refute_0_115,refute_0_120]) ).
cnf(refute_0_122,plain,
addition(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) = addition(skolemFOFtoCNF_X0,one),
inference(subst,[],[refute_0_121:[bind(X_24,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_123,plain,
( addition(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) != addition(skolemFOFtoCNF_X0,one)
| addition(skolemFOFtoCNF_X0,one) != addition(one,skolemFOFtoCNF_X0)
| addition(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) = addition(one,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(addition(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))))),bind(Y,$fot(addition(skolemFOFtoCNF_X0,one))),bind(Z,$fot(addition(one,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_124,plain,
( addition(skolemFOFtoCNF_X0,one) != addition(one,skolemFOFtoCNF_X0)
| addition(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) = addition(one,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))),addition(skolemFOFtoCNF_X0,one)) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
addition(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) = addition(one,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,one),addition(one,skolemFOFtoCNF_X0)) )],[refute_0_111,refute_0_124]) ).
cnf(refute_0_126,plain,
( addition(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) != addition(one,skolemFOFtoCNF_X0)
| addition(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) != one
| addition(one,skolemFOFtoCNF_X0) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))),one) ),[0],$fot(addition(one,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_127,plain,
( addition(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) != one
| addition(one,skolemFOFtoCNF_X0) = one ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))),addition(one,skolemFOFtoCNF_X0)) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
addition(one,skolemFOFtoCNF_X0) = one,
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))),one) )],[refute_0_110,refute_0_127]) ).
cnf(refute_0_129,plain,
( addition(one,skolemFOFtoCNF_X0) != one
| addition(skolemFOFtoCNF_X0,addition(one,B)) != addition(B,addition(one,skolemFOFtoCNF_X0))
| addition(skolemFOFtoCNF_X0,addition(one,B)) = addition(B,one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X0,addition(one,B)),addition(B,addition(one,skolemFOFtoCNF_X0))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_130,plain,
( addition(skolemFOFtoCNF_X0,addition(one,B)) != addition(B,addition(one,skolemFOFtoCNF_X0))
| addition(skolemFOFtoCNF_X0,addition(one,B)) = addition(B,one) ),
inference(resolve,[$cnf( $equal(addition(one,skolemFOFtoCNF_X0),one) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
addition(skolemFOFtoCNF_X0,addition(one,B)) = addition(B,one),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,addition(one,B)),addition(B,addition(one,skolemFOFtoCNF_X0))) )],[refute_0_90,refute_0_130]) ).
cnf(refute_0_132,plain,
addition(addition(X_65,X_64),B) = addition(B,addition(X_65,X_64)),
inference(subst,[],[refute_0_9:[bind(A,$fot(addition(X_65,X_64)))]]) ).
cnf(refute_0_133,plain,
addition(B,addition(X_65,X_64)) = addition(X_64,addition(X_65,B)),
inference(subst,[],[refute_0_89:[bind(A,$fot(B)),bind(B,$fot(X_64)),bind(X_50,$fot(X_65))]]) ).
cnf(refute_0_134,plain,
( addition(B,addition(X_65,X_64)) != addition(X_64,addition(X_65,B))
| addition(addition(X_65,X_64),B) != addition(B,addition(X_65,X_64))
| addition(addition(X_65,X_64),B) = addition(X_64,addition(X_65,B)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_65,X_64),B),addition(B,addition(X_65,X_64))) ),[1],$fot(addition(X_64,addition(X_65,B)))]]) ).
cnf(refute_0_135,plain,
( addition(addition(X_65,X_64),B) != addition(B,addition(X_65,X_64))
| addition(addition(X_65,X_64),B) = addition(X_64,addition(X_65,B)) ),
inference(resolve,[$cnf( $equal(addition(B,addition(X_65,X_64)),addition(X_64,addition(X_65,B))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
addition(addition(X_65,X_64),B) = addition(X_64,addition(X_65,B)),
inference(resolve,[$cnf( $equal(addition(addition(X_65,X_64),B),addition(B,addition(X_65,X_64))) )],[refute_0_132,refute_0_135]) ).
cnf(refute_0_137,plain,
addition(addition(X_65,X_64),B) = addition(X_65,addition(X_64,B)),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_65)),bind(B,$fot(X_64)),bind(C,$fot(B))]]) ).
cnf(refute_0_138,plain,
( addition(addition(X_65,X_64),B) != addition(X_64,addition(X_65,B))
| addition(addition(X_65,X_64),B) != addition(X_65,addition(X_64,B))
| addition(X_65,addition(X_64,B)) = addition(X_64,addition(X_65,B)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_65,X_64),B),addition(X_64,addition(X_65,B))) ),[0],$fot(addition(X_65,addition(X_64,B)))]]) ).
cnf(refute_0_139,plain,
( addition(addition(X_65,X_64),B) != addition(X_64,addition(X_65,B))
| addition(X_65,addition(X_64,B)) = addition(X_64,addition(X_65,B)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_65,X_64),B),addition(X_65,addition(X_64,B))) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
addition(X_65,addition(X_64,B)) = addition(X_64,addition(X_65,B)),
inference(resolve,[$cnf( $equal(addition(addition(X_65,X_64),B),addition(X_64,addition(X_65,B))) )],[refute_0_136,refute_0_139]) ).
cnf(refute_0_141,plain,
( addition(X_65,addition(X_64,B)) != addition(X_64,addition(X_65,B))
| addition(X_64,addition(X_65,B)) = addition(X_65,addition(X_64,B)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_65,addition(X_64,B)))),bind(Y,$fot(addition(X_64,addition(X_65,B))))]]) ).
cnf(refute_0_142,plain,
addition(X_64,addition(X_65,B)) = addition(X_65,addition(X_64,B)),
inference(resolve,[$cnf( $equal(addition(X_65,addition(X_64,B)),addition(X_64,addition(X_65,B))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
addition(skolemFOFtoCNF_X0,addition(one,B)) = addition(one,addition(skolemFOFtoCNF_X0,B)),
inference(subst,[],[refute_0_142:[bind(X_64,$fot(skolemFOFtoCNF_X0)),bind(X_65,$fot(one))]]) ).
cnf(refute_0_144,plain,
( addition(skolemFOFtoCNF_X0,addition(one,B)) != addition(B,one)
| addition(skolemFOFtoCNF_X0,addition(one,B)) != addition(one,addition(skolemFOFtoCNF_X0,B))
| addition(one,addition(skolemFOFtoCNF_X0,B)) = addition(B,one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X0,addition(one,B)),addition(B,one)) ),[0],$fot(addition(one,addition(skolemFOFtoCNF_X0,B)))]]) ).
cnf(refute_0_145,plain,
( addition(skolemFOFtoCNF_X0,addition(one,B)) != addition(B,one)
| addition(one,addition(skolemFOFtoCNF_X0,B)) = addition(B,one) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,addition(one,B)),addition(one,addition(skolemFOFtoCNF_X0,B))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
addition(one,addition(skolemFOFtoCNF_X0,B)) = addition(B,one),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,addition(one,B)),addition(B,one)) )],[refute_0_131,refute_0_145]) ).
cnf(refute_0_147,plain,
addition(one,addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one),
inference(subst,[],[refute_0_146:[bind(B,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_148,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_149,plain,
multiplication(X_39,addition(one,X_41)) = addition(multiplication(X_39,one),multiplication(X_39,X_41)),
inference(subst,[],[refute_0_148:[bind(A,$fot(X_39)),bind(B,$fot(one)),bind(C,$fot(X_41))]]) ).
cnf(refute_0_150,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_151,plain,
multiplication(X_39,one) = X_39,
inference(subst,[],[refute_0_150:[bind(A,$fot(X_39))]]) ).
cnf(refute_0_152,plain,
( multiplication(X_39,addition(one,X_41)) != addition(multiplication(X_39,one),multiplication(X_39,X_41))
| multiplication(X_39,one) != X_39
| multiplication(X_39,addition(one,X_41)) = addition(X_39,multiplication(X_39,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_39,addition(one,X_41)),addition(multiplication(X_39,one),multiplication(X_39,X_41))) ),[1,0],$fot(X_39)]]) ).
cnf(refute_0_153,plain,
( multiplication(X_39,addition(one,X_41)) != addition(multiplication(X_39,one),multiplication(X_39,X_41))
| multiplication(X_39,addition(one,X_41)) = addition(X_39,multiplication(X_39,X_41)) ),
inference(resolve,[$cnf( $equal(multiplication(X_39,one),X_39) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
multiplication(X_39,addition(one,X_41)) = addition(X_39,multiplication(X_39,X_41)),
inference(resolve,[$cnf( $equal(multiplication(X_39,addition(one,X_41)),addition(multiplication(X_39,one),multiplication(X_39,X_41))) )],[refute_0_149,refute_0_153]) ).
cnf(refute_0_155,plain,
multiplication(X_39,addition(one,skolemFOFtoCNF_X1_1)) = addition(X_39,multiplication(X_39,skolemFOFtoCNF_X1_1)),
inference(subst,[],[refute_0_154:[bind(X_41,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_156,plain,
addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) = addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),
inference(subst,[],[refute_0_54:[bind(X_25,$fot(skolemFOFtoCNF_X1_1)),bind(X_26,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_157,plain,
test(skolemFOFtoCNF_X1_1),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_158,plain,
( ~ test(X0)
| complement(skolemFOFtoCNF_X1(X0),X0) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_159,plain,
( ~ test(skolemFOFtoCNF_X1_1)
| complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) ),
inference(subst,[],[refute_0_158:[bind(X0,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_160,plain,
complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),
inference(resolve,[$cnf( test(skolemFOFtoCNF_X1_1) )],[refute_0_157,refute_0_159]) ).
cnf(refute_0_161,plain,
( ~ complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1)
| addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = one ),
inference(subst,[],[refute_0_99:[bind(X0,$fot(skolemFOFtoCNF_X1_1)),bind(X1,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_162,plain,
addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = one,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
( addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) != addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != one
| addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),one) ),[0],$fot(addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_164,plain,
( addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) != addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) = one ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),one) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) = one,
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) )],[refute_0_156,refute_0_164]) ).
cnf(refute_0_166,plain,
addition(skolemFOFtoCNF_X1_1,one) = addition(one,skolemFOFtoCNF_X1_1),
inference(subst,[],[refute_0_103:[bind(A,$fot(one)),bind(B,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_167,plain,
addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(X_24,skolemFOFtoCNF_X1_1)) = addition(X_24,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),
inference(subst,[],[refute_0_34:[bind(A,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),bind(X_25,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_168,plain,
( addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(X_24,skolemFOFtoCNF_X1_1)) != addition(X_24,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))
| addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != one
| addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(X_24,skolemFOFtoCNF_X1_1)) = addition(X_24,one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(X_24,skolemFOFtoCNF_X1_1)),addition(X_24,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_169,plain,
( addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(X_24,skolemFOFtoCNF_X1_1)) != addition(X_24,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))
| addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(X_24,skolemFOFtoCNF_X1_1)) = addition(X_24,one) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),one) )],[refute_0_162,refute_0_168]) ).
cnf(refute_0_170,plain,
addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(X_24,skolemFOFtoCNF_X1_1)) = addition(X_24,one),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(X_24,skolemFOFtoCNF_X1_1)),addition(X_24,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))) )],[refute_0_167,refute_0_169]) ).
cnf(refute_0_171,plain,
addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(X_24,skolemFOFtoCNF_X1_1)) = addition(skolemFOFtoCNF_X1_1,addition(X_24,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),
inference(subst,[],[refute_0_117:[bind(A,$fot(skolemFOFtoCNF_X1_1)),bind(B,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),bind(X_50,$fot(X_24))]]) ).
cnf(refute_0_172,plain,
( addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(X_24,skolemFOFtoCNF_X1_1)) != addition(X_24,one)
| addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(X_24,skolemFOFtoCNF_X1_1)) != addition(skolemFOFtoCNF_X1_1,addition(X_24,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))
| addition(skolemFOFtoCNF_X1_1,addition(X_24,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) = addition(X_24,one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(X_24,skolemFOFtoCNF_X1_1)),addition(X_24,one)) ),[0],$fot(addition(skolemFOFtoCNF_X1_1,addition(X_24,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_173,plain,
( addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(X_24,skolemFOFtoCNF_X1_1)) != addition(X_24,one)
| addition(skolemFOFtoCNF_X1_1,addition(X_24,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) = addition(X_24,one) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(X_24,skolemFOFtoCNF_X1_1)),addition(skolemFOFtoCNF_X1_1,addition(X_24,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
addition(skolemFOFtoCNF_X1_1,addition(X_24,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) = addition(X_24,one),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),addition(X_24,skolemFOFtoCNF_X1_1)),addition(X_24,one)) )],[refute_0_170,refute_0_173]) ).
cnf(refute_0_175,plain,
addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) = addition(skolemFOFtoCNF_X1_1,one),
inference(subst,[],[refute_0_174:[bind(X_24,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_176,plain,
( addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) != addition(skolemFOFtoCNF_X1_1,one)
| addition(skolemFOFtoCNF_X1_1,one) != addition(one,skolemFOFtoCNF_X1_1)
| addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) = addition(one,skolemFOFtoCNF_X1_1) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))))),bind(Y,$fot(addition(skolemFOFtoCNF_X1_1,one))),bind(Z,$fot(addition(one,skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_177,plain,
( addition(skolemFOFtoCNF_X1_1,one) != addition(one,skolemFOFtoCNF_X1_1)
| addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) = addition(one,skolemFOFtoCNF_X1_1) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X1_1,one)) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) = addition(one,skolemFOFtoCNF_X1_1),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,one),addition(one,skolemFOFtoCNF_X1_1)) )],[refute_0_166,refute_0_177]) ).
cnf(refute_0_179,plain,
( addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) != addition(one,skolemFOFtoCNF_X1_1)
| addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) != one
| addition(one,skolemFOFtoCNF_X1_1) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),one) ),[0],$fot(addition(one,skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_180,plain,
( addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) != one
| addition(one,skolemFOFtoCNF_X1_1) = one ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),addition(one,skolemFOFtoCNF_X1_1)) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
addition(one,skolemFOFtoCNF_X1_1) = one,
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),one) )],[refute_0_165,refute_0_180]) ).
cnf(refute_0_182,plain,
( addition(one,skolemFOFtoCNF_X1_1) != one
| multiplication(X_39,addition(one,skolemFOFtoCNF_X1_1)) != addition(X_39,multiplication(X_39,skolemFOFtoCNF_X1_1))
| multiplication(X_39,one) = addition(X_39,multiplication(X_39,skolemFOFtoCNF_X1_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_39,addition(one,skolemFOFtoCNF_X1_1)),addition(X_39,multiplication(X_39,skolemFOFtoCNF_X1_1))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_183,plain,
( multiplication(X_39,addition(one,skolemFOFtoCNF_X1_1)) != addition(X_39,multiplication(X_39,skolemFOFtoCNF_X1_1))
| multiplication(X_39,one) = addition(X_39,multiplication(X_39,skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(addition(one,skolemFOFtoCNF_X1_1),one) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
multiplication(X_39,one) = addition(X_39,multiplication(X_39,skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( $equal(multiplication(X_39,addition(one,skolemFOFtoCNF_X1_1)),addition(X_39,multiplication(X_39,skolemFOFtoCNF_X1_1))) )],[refute_0_155,refute_0_183]) ).
cnf(refute_0_185,plain,
( multiplication(X_39,one) != X_39
| multiplication(X_39,one) != addition(X_39,multiplication(X_39,skolemFOFtoCNF_X1_1))
| X_39 = addition(X_39,multiplication(X_39,skolemFOFtoCNF_X1_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_39,one),addition(X_39,multiplication(X_39,skolemFOFtoCNF_X1_1))) ),[0],$fot(X_39)]]) ).
cnf(refute_0_186,plain,
( multiplication(X_39,one) != addition(X_39,multiplication(X_39,skolemFOFtoCNF_X1_1))
| X_39 = addition(X_39,multiplication(X_39,skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(multiplication(X_39,one),X_39) )],[refute_0_151,refute_0_185]) ).
cnf(refute_0_187,plain,
X_39 = addition(X_39,multiplication(X_39,skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( $equal(multiplication(X_39,one),addition(X_39,multiplication(X_39,skolemFOFtoCNF_X1_1))) )],[refute_0_184,refute_0_186]) ).
cnf(refute_0_188,plain,
skolemFOFtoCNF_X0 = addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),
inference(subst,[],[refute_0_187:[bind(X_39,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_189,plain,
( skolemFOFtoCNF_X0 != addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))
| addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_13:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_190,plain,
addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
( addition(one,addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one)
| addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)) != skolemFOFtoCNF_X0
| addition(one,skolemFOFtoCNF_X0) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one)) ),[0,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_192,plain,
( addition(one,addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one)
| addition(one,skolemFOFtoCNF_X0) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
addition(one,skolemFOFtoCNF_X0) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one),
inference(resolve,[$cnf( $equal(addition(one,addition(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one)) )],[refute_0_147,refute_0_192]) ).
cnf(refute_0_194,plain,
( addition(one,skolemFOFtoCNF_X0) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one)
| addition(one,skolemFOFtoCNF_X0) != one
| one = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one)) ),[0],$fot(one)]]) ).
cnf(refute_0_195,plain,
( addition(one,skolemFOFtoCNF_X0) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one)
| one = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one) ),
inference(resolve,[$cnf( $equal(addition(one,skolemFOFtoCNF_X0),one) )],[refute_0_128,refute_0_194]) ).
cnf(refute_0_196,plain,
addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one) = addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),
inference(subst,[],[refute_0_103:[bind(A,$fot(one)),bind(B,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_197,plain,
( addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one) != addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))
| one != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one)
| one = addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one)) ),[1],$fot(addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_198,plain,
( one != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one)
| one = addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one),addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
( addition(one,skolemFOFtoCNF_X0) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one)
| one = addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one)) )],[refute_0_195,refute_0_198]) ).
cnf(refute_0_200,plain,
one = addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( $equal(addition(one,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one)) )],[refute_0_193,refute_0_199]) ).
cnf(refute_0_201,plain,
one != addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_202,plain,
( multiplication(A,addition(B,C)) != addition(multiplication(A,B),multiplication(A,C))
| addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiplication(A,addition(B,C)))),bind(Y,$fot(addition(multiplication(A,B),multiplication(A,C))))]]) ).
cnf(refute_0_203,plain,
addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(B,C)),addition(multiplication(A,B),multiplication(A,C))) )],[refute_0_148,refute_0_202]) ).
cnf(refute_0_204,plain,
addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) = multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))),
inference(subst,[],[refute_0_203:[bind(A,$fot(c(skolemFOFtoCNF_X0))),bind(B,$fot(skolemFOFtoCNF_X1_1)),bind(C,$fot(c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_205,plain,
addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))),
introduced(tautology,[refl,[$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))]]) ).
cnf(refute_0_206,plain,
( addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) != multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) ),[1,1],$fot(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_207,plain,
( addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) != multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),
inference(resolve,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) )],[refute_0_204,refute_0_207]) ).
cnf(refute_0_209,plain,
addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))),
introduced(tautology,[refl,[$fot(addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))]]) ).
cnf(refute_0_210,plain,
( addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) != addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))
| addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) ),[1,1],$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))]]) ).
cnf(refute_0_211,plain,
( addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))
| addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) )],[refute_0_208,refute_0_211]) ).
cnf(refute_0_213,plain,
addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))),
introduced(tautology,[refl,[$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))))]]) ).
cnf(refute_0_214,plain,
( addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) != addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))) ),[1,1],$fot(addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))]]) ).
cnf(refute_0_215,plain,
( addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) != addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),
inference(resolve,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) )],[refute_0_212,refute_0_215]) ).
cnf(refute_0_217,plain,
addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))),
inference(subst,[],[refute_0_20:[bind(A,$fot(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))),bind(B,$fot(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0))),bind(C,$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))]]) ).
cnf(refute_0_218,plain,
addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) = addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))),
inference(subst,[],[refute_0_20:[bind(A,$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)))),bind(B,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))),bind(C,$fot(addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))]]) ).
cnf(refute_0_219,plain,
( addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) != addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))
| addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))
| addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))),bind(Y,$fot(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))),bind(Z,$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))))]]) ).
cnf(refute_0_220,plain,
( addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))
| addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))),addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))),
inference(resolve,[$cnf( $equal(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_217,refute_0_220]) ).
cnf(refute_0_222,plain,
addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) = addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))),
inference(subst,[],[refute_0_20:[bind(A,$fot(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)))),bind(B,$fot(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1))),bind(C,$fot(multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_223,plain,
( addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) != addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))
| addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))
| addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))),bind(Y,$fot(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))),bind(Z,$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))))]]) ).
cnf(refute_0_224,plain,
( addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))
| addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))),addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))),
inference(resolve,[$cnf( $equal(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_221,refute_0_224]) ).
cnf(refute_0_226,plain,
( addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))),bind(Y,$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))))),bind(Z,$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))))]]) ).
cnf(refute_0_227,plain,
( addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))))),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_216,refute_0_227]) ).
cnf(refute_0_229,plain,
( addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| one != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| one = addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(one,addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) ),[1],$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))))]]) ).
cnf(refute_0_230,plain,
( one != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| one = addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1))),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
one != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),
inference(resolve,[$cnf( $equal(one,addition(addition(addition(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1_1)),multiplication(c(skolemFOFtoCNF_X0),c(skolemFOFtoCNF_X1_1)))) )],[refute_0_230,refute_0_201]) ).
cnf(refute_0_232,plain,
addition(X_25,X_24) = addition(X_24,X_25),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_25)),bind(B,$fot(X_24))]]) ).
cnf(refute_0_233,plain,
( addition(X_25,X_24) != addition(X_24,X_25)
| addition(X_24,X_25) = addition(X_25,X_24) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_25,X_24))),bind(Y,$fot(addition(X_24,X_25)))]]) ).
cnf(refute_0_234,plain,
addition(X_24,X_25) = addition(X_25,X_24),
inference(resolve,[$cnf( $equal(addition(X_25,X_24),addition(X_24,X_25)) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
( addition(X_24,X_25) != addition(X_25,X_24)
| addition(X_24,addition(X_25,X_26)) != addition(addition(X_24,X_25),X_26)
| addition(X_24,addition(X_25,X_26)) = addition(addition(X_25,X_24),X_26) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_24,addition(X_25,X_26)),addition(addition(X_24,X_25),X_26)) ),[1,0],$fot(addition(X_25,X_24))]]) ).
cnf(refute_0_236,plain,
( addition(X_24,addition(X_25,X_26)) != addition(addition(X_24,X_25),X_26)
| addition(X_24,addition(X_25,X_26)) = addition(addition(X_25,X_24),X_26) ),
inference(resolve,[$cnf( $equal(addition(X_24,X_25),addition(X_25,X_24)) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
addition(X_24,addition(X_25,X_26)) = addition(addition(X_25,X_24),X_26),
inference(resolve,[$cnf( $equal(addition(X_24,addition(X_25,X_26)),addition(addition(X_24,X_25),X_26)) )],[refute_0_8,refute_0_236]) ).
cnf(refute_0_238,plain,
addition(addition(X_25,X_24),X_26) = addition(X_25,addition(X_24,X_26)),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_25)),bind(B,$fot(X_24)),bind(C,$fot(X_26))]]) ).
cnf(refute_0_239,plain,
( addition(X_24,addition(X_25,X_26)) != addition(addition(X_25,X_24),X_26)
| addition(addition(X_25,X_24),X_26) != addition(X_25,addition(X_24,X_26))
| addition(X_24,addition(X_25,X_26)) = addition(X_25,addition(X_24,X_26)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_24,addition(X_25,X_26)),addition(X_25,addition(X_24,X_26))) ),[0],$fot(addition(addition(X_25,X_24),X_26))]]) ).
cnf(refute_0_240,plain,
( addition(X_24,addition(X_25,X_26)) != addition(addition(X_25,X_24),X_26)
| addition(X_24,addition(X_25,X_26)) = addition(X_25,addition(X_24,X_26)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_25,X_24),X_26),addition(X_25,addition(X_24,X_26))) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
addition(X_24,addition(X_25,X_26)) = addition(X_25,addition(X_24,X_26)),
inference(resolve,[$cnf( $equal(addition(X_24,addition(X_25,X_26)),addition(addition(X_25,X_24),X_26)) )],[refute_0_237,refute_0_240]) ).
cnf(refute_0_242,plain,
( addition(X_24,addition(X_25,X_26)) != addition(X_25,addition(X_24,X_26))
| addition(X_25,addition(X_24,X_26)) = addition(X_24,addition(X_25,X_26)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_24,addition(X_25,X_26)))),bind(Y,$fot(addition(X_25,addition(X_24,X_26))))]]) ).
cnf(refute_0_243,plain,
addition(X_25,addition(X_24,X_26)) = addition(X_24,addition(X_25,X_26)),
inference(resolve,[$cnf( $equal(addition(X_24,addition(X_25,X_26)),addition(X_25,addition(X_24,X_26))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),
inference(subst,[],[refute_0_243:[bind(X_24,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))),bind(X_25,$fot(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))),bind(X_26,$fot(addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))]]) ).
cnf(refute_0_245,plain,
addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),
inference(subst,[],[refute_0_243:[bind(X_24,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))),bind(X_25,$fot(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0))),bind(X_26,$fot(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))]]) ).
cnf(refute_0_246,plain,
addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),
introduced(tautology,[refl,[$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))))]]) ).
cnf(refute_0_247,plain,
( addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) ),[1,1],$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))]]) ).
cnf(refute_0_248,plain,
( addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),
inference(resolve,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) )],[refute_0_245,refute_0_248]) ).
cnf(refute_0_250,plain,
( addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))))),bind(Y,$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))))),bind(Z,$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))))]]) ).
cnf(refute_0_251,plain,
( addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_244,refute_0_251]) ).
cnf(refute_0_253,plain,
( addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| one != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| one = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(one,addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) ),[1],$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))))]]) ).
cnf(refute_0_254,plain,
( one != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| one = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
one != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),
inference(resolve,[$cnf( $equal(one,addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_254,refute_0_231]) ).
cnf(refute_0_256,plain,
addition(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))),multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0)) = addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),
inference(subst,[],[refute_0_103:[bind(A,$fot(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0))),bind(B,$fot(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))]]) ).
cnf(refute_0_257,plain,
addition(A,addition(multiplication(X_47,X_49),multiplication(X_48,X_49))) = addition(multiplication(X_47,X_49),addition(multiplication(X_48,X_49),A)),
inference(subst,[],[refute_0_34:[bind(X_24,$fot(multiplication(X_47,X_49))),bind(X_25,$fot(multiplication(X_48,X_49)))]]) ).
cnf(refute_0_258,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_259,plain,
multiplication(addition(X_47,X_48),X_49) = addition(multiplication(X_47,X_49),multiplication(X_48,X_49)),
inference(subst,[],[refute_0_258:[bind(A,$fot(X_47)),bind(B,$fot(X_48)),bind(C,$fot(X_49))]]) ).
cnf(refute_0_260,plain,
( multiplication(addition(X_47,X_48),X_49) != addition(multiplication(X_47,X_49),multiplication(X_48,X_49))
| addition(multiplication(X_47,X_49),multiplication(X_48,X_49)) = multiplication(addition(X_47,X_48),X_49) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiplication(addition(X_47,X_48),X_49))),bind(Y,$fot(addition(multiplication(X_47,X_49),multiplication(X_48,X_49))))]]) ).
cnf(refute_0_261,plain,
addition(multiplication(X_47,X_49),multiplication(X_48,X_49)) = multiplication(addition(X_47,X_48),X_49),
inference(resolve,[$cnf( $equal(multiplication(addition(X_47,X_48),X_49),addition(multiplication(X_47,X_49),multiplication(X_48,X_49))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
( addition(A,addition(multiplication(X_47,X_49),multiplication(X_48,X_49))) != addition(multiplication(X_47,X_49),addition(multiplication(X_48,X_49),A))
| addition(multiplication(X_47,X_49),multiplication(X_48,X_49)) != multiplication(addition(X_47,X_48),X_49)
| addition(A,multiplication(addition(X_47,X_48),X_49)) = addition(multiplication(X_47,X_49),addition(multiplication(X_48,X_49),A)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(multiplication(X_47,X_49),multiplication(X_48,X_49))),addition(multiplication(X_47,X_49),addition(multiplication(X_48,X_49),A))) ),[0,1],$fot(multiplication(addition(X_47,X_48),X_49))]]) ).
cnf(refute_0_263,plain,
( addition(A,addition(multiplication(X_47,X_49),multiplication(X_48,X_49))) != addition(multiplication(X_47,X_49),addition(multiplication(X_48,X_49),A))
| addition(A,multiplication(addition(X_47,X_48),X_49)) = addition(multiplication(X_47,X_49),addition(multiplication(X_48,X_49),A)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_47,X_49),multiplication(X_48,X_49)),multiplication(addition(X_47,X_48),X_49)) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
addition(A,multiplication(addition(X_47,X_48),X_49)) = addition(multiplication(X_47,X_49),addition(multiplication(X_48,X_49),A)),
inference(resolve,[$cnf( $equal(addition(A,addition(multiplication(X_47,X_49),multiplication(X_48,X_49))),addition(multiplication(X_47,X_49),addition(multiplication(X_48,X_49),A))) )],[refute_0_257,refute_0_263]) ).
cnf(refute_0_265,plain,
( addition(A,multiplication(addition(X_47,X_48),X_49)) != addition(multiplication(X_47,X_49),addition(multiplication(X_48,X_49),A))
| addition(multiplication(X_47,X_49),addition(multiplication(X_48,X_49),A)) = addition(A,multiplication(addition(X_47,X_48),X_49)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(A,multiplication(addition(X_47,X_48),X_49)))),bind(Y,$fot(addition(multiplication(X_47,X_49),addition(multiplication(X_48,X_49),A))))]]) ).
cnf(refute_0_266,plain,
addition(multiplication(X_47,X_49),addition(multiplication(X_48,X_49),A)) = addition(A,multiplication(addition(X_47,X_48),X_49)),
inference(resolve,[$cnf( $equal(addition(A,multiplication(addition(X_47,X_48),X_49)),addition(multiplication(X_47,X_49),addition(multiplication(X_48,X_49),A))) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))),multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_266:[bind(A,$fot(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),bind(X_47,$fot(skolemFOFtoCNF_X1_1)),bind(X_48,$fot(c(skolemFOFtoCNF_X1_1))),bind(X_49,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_268,plain,
( addition(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))),multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0)) != addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) != addition(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))),multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))),bind(Y,$fot(addition(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))),multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0)))),bind(Z,$fot(addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))]]) ).
cnf(refute_0_269,plain,
( addition(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))),multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0)) != addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),addition(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))),multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),
inference(resolve,[$cnf( $equal(addition(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))),multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0)),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) )],[refute_0_256,refute_0_269]) ).
cnf(refute_0_271,plain,
addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),
introduced(tautology,[refl,[$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))))]]) ).
cnf(refute_0_272,plain,
( addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) != addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) ),[1,1],$fot(addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))]]) ).
cnf(refute_0_273,plain,
( addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) != addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) )],[refute_0_270,refute_0_273]) ).
cnf(refute_0_275,plain,
( addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))
| one != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))
| one = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) ),[1],$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))]]) ).
cnf(refute_0_276,plain,
( one != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))
| one = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
one != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),
inference(resolve,[$cnf( $equal(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))) )],[refute_0_276,refute_0_255]) ).
cnf(refute_0_278,plain,
multiplication(c(skolemFOFtoCNF_X0),one) = c(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_150:[bind(A,$fot(c(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_279,plain,
( ~ test(skolemFOFtoCNF_X1_1)
| complement(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) ),
inference(subst,[],[refute_0_96:[bind(X0,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_280,plain,
complement(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( test(skolemFOFtoCNF_X1_1) )],[refute_0_157,refute_0_279]) ).
cnf(refute_0_281,plain,
( ~ complement(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))
| addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) = one ),
inference(subst,[],[refute_0_99:[bind(X0,$fot(c(skolemFOFtoCNF_X1_1))),bind(X1,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_282,plain,
addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) = one,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) = addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),
inference(subst,[],[refute_0_103:[bind(A,$fot(skolemFOFtoCNF_X1_1)),bind(B,$fot(c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_284,plain,
( addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) != addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))
| addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) != one
| addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),one) ),[0],$fot(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_285,plain,
( addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) != one
| addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) = one ),
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) = one,
inference(resolve,[$cnf( $equal(addition(c(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),one) )],[refute_0_282,refute_0_285]) ).
cnf(refute_0_287,plain,
multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) = multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))),
introduced(tautology,[refl,[$fot(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_288,plain,
( addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) != one
| multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) != multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))
| multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) = multiplication(c(skolemFOFtoCNF_X0),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_289,plain,
( addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) != one
| multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) = multiplication(c(skolemFOFtoCNF_X0),one) ),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) = multiplication(c(skolemFOFtoCNF_X0),one),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),one) )],[refute_0_286,refute_0_289]) ).
cnf(refute_0_291,plain,
( multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) != multiplication(c(skolemFOFtoCNF_X0),one)
| multiplication(c(skolemFOFtoCNF_X0),one) != c(skolemFOFtoCNF_X0)
| multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) = c(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),bind(Y,$fot(multiplication(c(skolemFOFtoCNF_X0),one))),bind(Z,$fot(c(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_292,plain,
( multiplication(c(skolemFOFtoCNF_X0),one) != c(skolemFOFtoCNF_X0)
| multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) = c(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))),multiplication(c(skolemFOFtoCNF_X0),one)) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) = c(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),one),c(skolemFOFtoCNF_X0)) )],[refute_0_278,refute_0_292]) ).
cnf(refute_0_294,plain,
addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),
introduced(tautology,[refl,[$fot(addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))]]) ).
cnf(refute_0_295,plain,
( addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) != addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))
| multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) != c(skolemFOFtoCNF_X0)
| addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) ),[1,1],$fot(c(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_296,plain,
( multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))) != c(skolemFOFtoCNF_X0)
| addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))),c(skolemFOFtoCNF_X0)) )],[refute_0_293,refute_0_296]) ).
cnf(refute_0_298,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_299,plain,
multiplication(one,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_298:[bind(A,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_300,plain,
multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0) = multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),
introduced(tautology,[refl,[$fot(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_301,plain,
( addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) != one
| multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0) != multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0)
| multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0) = multiplication(one,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_302,plain,
( addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)) != one
| multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0) = multiplication(one,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0)) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0) = multiplication(one,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),one) )],[refute_0_286,refute_0_302]) ).
cnf(refute_0_304,plain,
( multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0) != multiplication(one,skolemFOFtoCNF_X0)
| multiplication(one,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_39:[bind(X,$fot(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0))),bind(Y,$fot(multiplication(one,skolemFOFtoCNF_X0))),bind(Z,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_305,plain,
( multiplication(one,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(one,skolemFOFtoCNF_X0)) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(multiplication(one,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_299,refute_0_305]) ).
cnf(refute_0_307,plain,
addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),
introduced(tautology,[refl,[$fot(addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))]]) ).
cnf(refute_0_308,plain,
( addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) != addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))
| multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_309,plain,
( multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),
inference(resolve,[$cnf( $equal(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_306,refute_0_309]) ).
cnf(refute_0_311,plain,
( addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) != addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))
| addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) != addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))
| addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),bind(Y,$fot(addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),bind(Z,$fot(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_312,plain,
( addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) != addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))
| addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) )],[refute_0_297,refute_0_312]) ).
cnf(refute_0_314,plain,
( addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) != addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))
| addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) != one
| addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = one ),
inference(subst,[],[refute_0_39:[bind(X,$fot(addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))),bind(Y,$fot(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_315,plain,
( addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)) != one
| addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = one ),
inference(resolve,[$cnf( $equal(addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) = one,
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,c(skolemFOFtoCNF_X0)),one) )],[refute_0_107,refute_0_315]) ).
cnf(refute_0_317,plain,
addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),
introduced(tautology,[refl,[$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))]]) ).
cnf(refute_0_318,plain,
( addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) != one
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_319,plain,
( addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))) != one
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one),
inference(resolve,[$cnf( $equal(addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))),one) )],[refute_0_316,refute_0_319]) ).
cnf(refute_0_321,plain,
( addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one)
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one) != addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) = addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))))),bind(Y,$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one))),bind(Z,$fot(addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))))]]) ).
cnf(refute_0_322,plain,
( addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one) != addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) = addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one)) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) = addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),one),addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))) )],[refute_0_196,refute_0_322]) ).
cnf(refute_0_324,plain,
( addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) != addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))
| one != addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))
| one = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) ),[1],$fot(addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_325,plain,
( one != addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))
| one = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1))))),addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
one != addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( $equal(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1),addition(multiplication(addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0),multiplication(c(skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X1_1,c(skolemFOFtoCNF_X1_1)))))) )],[refute_0_325,refute_0_277]) ).
cnf(refute_0_327,plain,
$false,
inference(resolve,[$cnf( $equal(one,addition(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1_1))) )],[refute_0_200,refute_0_326]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KLE010+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n017.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 12:16:40 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.76/1.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.76/1.94
% 1.76/1.94 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.81/1.98
%------------------------------------------------------------------------------