TSTP Solution File: ALG210+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG210+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.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 : Thu Jul 14 17:39:33 EDT 2022
% Result : Theorem 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 92
% Syntax : Number of formulae : 498 ( 240 unt; 0 def)
% Number of atoms : 874 ( 830 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 745 ( 369 ~; 360 |; 10 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 735 ( 0 sgn 26 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_1,axiom,
! [A,B,C] : times(times(A,B),C) = times(B,times(C,A)) ).
fof(axiom_2,axiom,
! [B] :
( element(B)
<=> ? [C] :
( times(B,C) = B
& times(B,B) = C ) ) ).
fof(conjecture_1,conjecture,
! [A,B] :
( ( element(A)
& element(B) )
=> element(times(A,B)) ) ).
fof(subgoal_0,plain,
! [A,B] :
( ( element(A)
& element(B) )
=> element(times(A,B)) ),
inference(strip,[],[conjecture_1]) ).
fof(negate_0_0,plain,
~ ! [A,B] :
( ( element(A)
& element(B) )
=> element(times(A,B)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [B] :
( ~ element(B)
<=> ! [C] :
( times(B,B) != C
| times(B,C) != B ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_1,plain,
! [B] :
( ~ element(B)
<=> ! [C] :
( times(B,B) != C
| times(B,C) != B ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [B,C] :
( ( ~ element(B)
| times(B,B) = skolemFOFtoCNF_C(B) )
& ( ~ element(B)
| times(B,skolemFOFtoCNF_C(B)) = B )
& ( times(B,B) != C
| times(B,C) != B
| element(B) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [B,C] :
( times(B,B) != C
| times(B,C) != B
| element(B) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A,B,C] : times(times(A,B),C) = times(B,times(C,A)),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_0_5,plain,
! [A,B,C] : times(times(A,B),C) = times(B,times(C,A)),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
? [A,B] :
( ~ element(times(A,B))
& element(A)
& element(B) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_7,plain,
( ~ element(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))
& element(skolemFOFtoCNF_A)
& element(skolemFOFtoCNF_B) ),
inference(skolemize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
element(skolemFOFtoCNF_B),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [B] :
( ~ element(B)
| times(B,B) = skolemFOFtoCNF_C(B) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_10,plain,
! [B] :
( ~ element(B)
| times(B,skolemFOFtoCNF_C(B)) = B ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_11,plain,
element(skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_12,plain,
~ element(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),
inference(conjunct,[],[normalize_0_7]) ).
cnf(refute_0_0,plain,
( times(B,B) != C
| times(B,C) != B
| element(B) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( times(B,B) != times(B,B)
| times(B,times(B,B)) != B
| element(B) ),
inference(subst,[],[refute_0_0:[bind(C,$fot(times(B,B)))]]) ).
cnf(refute_0_2,plain,
times(B,B) = times(B,B),
introduced(tautology,[refl,[$fot(times(B,B))]]) ).
cnf(refute_0_3,plain,
( times(B,times(B,B)) != B
| element(B) ),
inference(resolve,[$cnf( $equal(times(B,B),times(B,B)) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
( times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) != times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| element(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) ),
inference(subst,[],[refute_0_3:[bind(B,$fot(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_5,plain,
times(times(A,B),C) = times(B,times(C,A)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_6,plain,
times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),skolemFOFtoCNF_B),C) = times(skolemFOFtoCNF_B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B))),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_B))),bind(B,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_7,plain,
times(times(skolemFOFtoCNF_B,skolemFOFtoCNF_B),X_5) = times(skolemFOFtoCNF_B,times(X_5,skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_B)),bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(X_5))]]) ).
cnf(refute_0_8,plain,
element(skolemFOFtoCNF_B),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_9,plain,
( ~ element(B)
| times(B,B) = skolemFOFtoCNF_C(B) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_10,plain,
( ~ element(skolemFOFtoCNF_B)
| times(skolemFOFtoCNF_B,skolemFOFtoCNF_B) = skolemFOFtoCNF_C(skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_9:[bind(B,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_11,plain,
times(skolemFOFtoCNF_B,skolemFOFtoCNF_B) = skolemFOFtoCNF_C(skolemFOFtoCNF_B),
inference(resolve,[$cnf( element(skolemFOFtoCNF_B) )],[refute_0_8,refute_0_10]) ).
cnf(refute_0_12,plain,
( times(skolemFOFtoCNF_B,skolemFOFtoCNF_B) != skolemFOFtoCNF_C(skolemFOFtoCNF_B)
| times(times(skolemFOFtoCNF_B,skolemFOFtoCNF_B),X_5) != times(skolemFOFtoCNF_B,times(X_5,skolemFOFtoCNF_B))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),X_5) = times(skolemFOFtoCNF_B,times(X_5,skolemFOFtoCNF_B)) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(skolemFOFtoCNF_B,skolemFOFtoCNF_B),X_5),times(skolemFOFtoCNF_B,times(X_5,skolemFOFtoCNF_B))) ),[0,0],$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_13,plain,
( times(times(skolemFOFtoCNF_B,skolemFOFtoCNF_B),X_5) != times(skolemFOFtoCNF_B,times(X_5,skolemFOFtoCNF_B))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),X_5) = times(skolemFOFtoCNF_B,times(X_5,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,skolemFOFtoCNF_B),skolemFOFtoCNF_C(skolemFOFtoCNF_B)) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),X_5) = times(skolemFOFtoCNF_B,times(X_5,skolemFOFtoCNF_B)),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_B,skolemFOFtoCNF_B),X_5),times(skolemFOFtoCNF_B,times(X_5,skolemFOFtoCNF_B))) )],[refute_0_7,refute_0_13]) ).
cnf(refute_0_15,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),skolemFOFtoCNF_B) = times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_14:[bind(X_5,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_16,plain,
( times(skolemFOFtoCNF_B,skolemFOFtoCNF_B) != skolemFOFtoCNF_C(skolemFOFtoCNF_B)
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),skolemFOFtoCNF_B) != times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,skolemFOFtoCNF_B))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),skolemFOFtoCNF_B) = times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)) ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),skolemFOFtoCNF_B),times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,skolemFOFtoCNF_B))) ),[1,1],$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_17,plain,
( times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),skolemFOFtoCNF_B) != times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,skolemFOFtoCNF_B))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),skolemFOFtoCNF_B) = times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,skolemFOFtoCNF_B),skolemFOFtoCNF_C(skolemFOFtoCNF_B)) )],[refute_0_11,refute_0_16]) ).
cnf(refute_0_18,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),skolemFOFtoCNF_B) = times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),skolemFOFtoCNF_B),times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,skolemFOFtoCNF_B))) )],[refute_0_15,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ element(B)
| times(B,skolemFOFtoCNF_C(B)) = B ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_20,plain,
( ~ element(skolemFOFtoCNF_B)
| times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)) = skolemFOFtoCNF_B ),
inference(subst,[],[refute_0_19:[bind(B,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_21,plain,
times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)) = skolemFOFtoCNF_B,
inference(resolve,[$cnf( element(skolemFOFtoCNF_B) )],[refute_0_8,refute_0_20]) ).
cnf(refute_0_22,plain,
( times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)) != skolemFOFtoCNF_B
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),skolemFOFtoCNF_B) != times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),skolemFOFtoCNF_B) = skolemFOFtoCNF_B ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),skolemFOFtoCNF_B),times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B))) ),[1],$fot(skolemFOFtoCNF_B)]]) ).
cnf(refute_0_23,plain,
( times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),skolemFOFtoCNF_B) != times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),skolemFOFtoCNF_B) = skolemFOFtoCNF_B ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),skolemFOFtoCNF_B) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),skolemFOFtoCNF_B) = skolemFOFtoCNF_B,
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),skolemFOFtoCNF_B),times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B))) )],[refute_0_18,refute_0_23]) ).
cnf(refute_0_25,plain,
( times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),skolemFOFtoCNF_B) != skolemFOFtoCNF_B
| times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),skolemFOFtoCNF_B),C) != times(skolemFOFtoCNF_B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))
| times(skolemFOFtoCNF_B,C) = times(skolemFOFtoCNF_B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B))) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),skolemFOFtoCNF_B),C),times(skolemFOFtoCNF_B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))) ),[0,0],$fot(skolemFOFtoCNF_B)]]) ).
cnf(refute_0_26,plain,
( times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),skolemFOFtoCNF_B),C) != times(skolemFOFtoCNF_B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))
| times(skolemFOFtoCNF_B,C) = times(skolemFOFtoCNF_B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B))) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),skolemFOFtoCNF_B),skolemFOFtoCNF_B) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
times(skolemFOFtoCNF_B,C) = times(skolemFOFtoCNF_B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B))),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),skolemFOFtoCNF_B),C),times(skolemFOFtoCNF_B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))) )],[refute_0_6,refute_0_26]) ).
cnf(refute_0_28,plain,
times(skolemFOFtoCNF_B,times(X_14,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_B,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B))),
inference(subst,[],[refute_0_27:[bind(C,$fot(times(X_14,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_29,plain,
times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,skolemFOFtoCNF_A)),C) = times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A))),bind(B,$fot(times(X_9,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_30,plain,
times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_5) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_5,skolemFOFtoCNF_A)),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A))),bind(C,$fot(X_5))]]) ).
cnf(refute_0_31,plain,
element(skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_32,plain,
( ~ element(skolemFOFtoCNF_A)
| times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) = skolemFOFtoCNF_A ),
inference(subst,[],[refute_0_19:[bind(B,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_33,plain,
times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) = skolemFOFtoCNF_A,
inference(resolve,[$cnf( element(skolemFOFtoCNF_A) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
( times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) != skolemFOFtoCNF_A
| times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_5) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_5,skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,X_5) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_5,skolemFOFtoCNF_A)) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_5),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_5,skolemFOFtoCNF_A))) ),[0,0],$fot(skolemFOFtoCNF_A)]]) ).
cnf(refute_0_35,plain,
( times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_5) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_5,skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,X_5) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_5,skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
times(skolemFOFtoCNF_A,X_5) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_5,skolemFOFtoCNF_A)),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_5),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_5,skolemFOFtoCNF_A))) )],[refute_0_30,refute_0_35]) ).
cnf(refute_0_37,plain,
times(skolemFOFtoCNF_A,X_9) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,skolemFOFtoCNF_A)),
inference(subst,[],[refute_0_36:[bind(X_5,$fot(X_9))]]) ).
cnf(refute_0_38,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_39,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_40,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
( times(skolemFOFtoCNF_A,X_9) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,X_9) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(skolemFOFtoCNF_A,X_9))),bind(Y,$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,skolemFOFtoCNF_A))))]]) ).
cnf(refute_0_42,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,X_9),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,X_9),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,skolemFOFtoCNF_A))) )],[refute_0_37,refute_0_41]) ).
cnf(refute_0_43,plain,
( times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,X_9)
| times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,skolemFOFtoCNF_A)),C) != times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(times(skolemFOFtoCNF_A,X_9),C) = times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,skolemFOFtoCNF_A)),C),times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) ),[0,0],$fot(times(skolemFOFtoCNF_A,X_9))]]) ).
cnf(refute_0_44,plain,
( times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,skolemFOFtoCNF_A)),C) != times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(times(skolemFOFtoCNF_A,X_9),C) = times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,X_9)) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
times(times(skolemFOFtoCNF_A,X_9),C) = times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,skolemFOFtoCNF_A)),C),times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) )],[refute_0_29,refute_0_44]) ).
cnf(refute_0_46,plain,
times(times(skolemFOFtoCNF_A,X_9),C) = times(X_9,times(C,skolemFOFtoCNF_A)),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_9))]]) ).
cnf(refute_0_47,plain,
( times(times(skolemFOFtoCNF_A,X_9),C) != times(X_9,times(C,skolemFOFtoCNF_A))
| times(times(skolemFOFtoCNF_A,X_9),C) != times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(X_9,times(C,skolemFOFtoCNF_A)) = times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(skolemFOFtoCNF_A,X_9),C),times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) ),[0],$fot(times(X_9,times(C,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_48,plain,
( times(times(skolemFOFtoCNF_A,X_9),C) != times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(X_9,times(C,skolemFOFtoCNF_A)) = times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) ),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_A,X_9),C),times(X_9,times(C,skolemFOFtoCNF_A))) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_9) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C)),
inference(subst,[],[refute_0_5:[bind(A,$fot(C)),bind(B,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A))),bind(C,$fot(X_9))]]) ).
cnf(refute_0_50,plain,
times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_9)) = times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_9)),
introduced(tautology,[refl,[$fot(times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_9)))]]) ).
cnf(refute_0_51,plain,
( times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_9)) != times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_9))
| times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_9) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C))
| times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_9)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C))) ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_9)),times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_9))) ),[1,1],$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C)))]]) ).
cnf(refute_0_52,plain,
( times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_9) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C))
| times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_9)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C))) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_9)),times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_9))) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_9)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C))),
inference(resolve,[$cnf( $equal(times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_9),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C))) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_9)),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_9)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))))]]) ).
cnf(refute_0_55,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_56,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_40,refute_0_55]) ).
cnf(refute_0_57,plain,
( times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_9)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C)))
| times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) != times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_9))
| times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))))),bind(Y,$fot(times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_9)))),bind(Z,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C)))))]]) ).
cnf(refute_0_58,plain,
( times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_9)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C)))
| times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C))) ),
inference(resolve,[$cnf( $equal(times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_9))) )],[refute_0_54,refute_0_57]) ).
cnf(refute_0_59,plain,
times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C))),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),X_9)),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C)))) )],[refute_0_53,refute_0_58]) ).
cnf(refute_0_60,plain,
( times(X_9,times(C,skolemFOFtoCNF_A)) != times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C)))
| times(X_9,times(C,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(times(X_9,times(C,skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C)))) ),[0],$fot(times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))))]]) ).
cnf(refute_0_61,plain,
( times(X_9,times(C,skolemFOFtoCNF_A)) != times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(X_9,times(C,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C))) ),
inference(resolve,[$cnf( $equal(times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C)))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
( times(times(skolemFOFtoCNF_A,X_9),C) != times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(X_9,times(C,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C))) ),
inference(resolve,[$cnf( $equal(times(X_9,times(C,skolemFOFtoCNF_A)),times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) )],[refute_0_48,refute_0_61]) ).
cnf(refute_0_63,plain,
times(X_9,times(C,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C))),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_A,X_9),C),times(times(X_9,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) )],[refute_0_45,refute_0_62]) ).
cnf(refute_0_64,plain,
times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A),C) = times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A))),bind(B,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_65,plain,
times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_5) = times(skolemFOFtoCNF_A,times(X_5,skolemFOFtoCNF_A)),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_5))]]) ).
cnf(refute_0_66,plain,
( ~ element(skolemFOFtoCNF_A)
| times(skolemFOFtoCNF_A,skolemFOFtoCNF_A) = skolemFOFtoCNF_C(skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_9:[bind(B,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_67,plain,
times(skolemFOFtoCNF_A,skolemFOFtoCNF_A) = skolemFOFtoCNF_C(skolemFOFtoCNF_A),
inference(resolve,[$cnf( element(skolemFOFtoCNF_A) )],[refute_0_31,refute_0_66]) ).
cnf(refute_0_68,plain,
( times(skolemFOFtoCNF_A,skolemFOFtoCNF_A) != skolemFOFtoCNF_C(skolemFOFtoCNF_A)
| times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_5) != times(skolemFOFtoCNF_A,times(X_5,skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_5) = times(skolemFOFtoCNF_A,times(X_5,skolemFOFtoCNF_A)) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_5),times(skolemFOFtoCNF_A,times(X_5,skolemFOFtoCNF_A))) ),[0,0],$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_69,plain,
( times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_5) != times(skolemFOFtoCNF_A,times(X_5,skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_5) = times(skolemFOFtoCNF_A,times(X_5,skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_5) = times(skolemFOFtoCNF_A,times(X_5,skolemFOFtoCNF_A)),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_5),times(skolemFOFtoCNF_A,times(X_5,skolemFOFtoCNF_A))) )],[refute_0_65,refute_0_69]) ).
cnf(refute_0_71,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,skolemFOFtoCNF_A)),
inference(subst,[],[refute_0_70:[bind(X_5,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_72,plain,
( times(skolemFOFtoCNF_A,skolemFOFtoCNF_A) != skolemFOFtoCNF_C(skolemFOFtoCNF_A)
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A) = times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,skolemFOFtoCNF_A))) ),[1,1],$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_73,plain,
( times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A) = times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)) )],[refute_0_67,refute_0_72]) ).
cnf(refute_0_74,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A) = times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,skolemFOFtoCNF_A))) )],[refute_0_71,refute_0_73]) ).
cnf(refute_0_75,plain,
( times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) != skolemFOFtoCNF_A
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A) != times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A) = skolemFOFtoCNF_A ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A),times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) ),[1],$fot(skolemFOFtoCNF_A)]]) ).
cnf(refute_0_76,plain,
( times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A) != times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A) = skolemFOFtoCNF_A ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A) )],[refute_0_33,refute_0_75]) ).
cnf(refute_0_77,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A) = skolemFOFtoCNF_A,
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A),times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) )],[refute_0_74,refute_0_76]) ).
cnf(refute_0_78,plain,
( times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A) != skolemFOFtoCNF_A
| times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A),C) != times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_A,C) = times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A),C),times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) ),[0,0],$fot(skolemFOFtoCNF_A)]]) ).
cnf(refute_0_79,plain,
( times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A),C) != times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_A,C) = times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A),skolemFOFtoCNF_A) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
times(skolemFOFtoCNF_A,C) = times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A),C),times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) )],[refute_0_64,refute_0_79]) ).
cnf(refute_0_81,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A)),
inference(subst,[],[refute_0_70:[bind(X_5,$fot(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A))))]]) ).
cnf(refute_0_82,plain,
times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)),C) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A))),bind(B,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_83,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A)),
inference(subst,[],[refute_0_70:[bind(X_5,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_84,plain,
( times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A) != skolemFOFtoCNF_A
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A))) ),[1,1],$fot(skolemFOFtoCNF_A)]]) ).
cnf(refute_0_85,plain,
( times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A),skolemFOFtoCNF_A) )],[refute_0_77,refute_0_84]) ).
cnf(refute_0_86,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A))) )],[refute_0_83,refute_0_85]) ).
cnf(refute_0_87,plain,
( times(skolemFOFtoCNF_A,skolemFOFtoCNF_A) != skolemFOFtoCNF_C(skolemFOFtoCNF_A)
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)) = skolemFOFtoCNF_C(skolemFOFtoCNF_A) ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,skolemFOFtoCNF_A)) ),[1],$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_88,plain,
( times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)) = skolemFOFtoCNF_C(skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)) )],[refute_0_67,refute_0_87]) ).
cnf(refute_0_89,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)) = skolemFOFtoCNF_C(skolemFOFtoCNF_A),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,skolemFOFtoCNF_A)) )],[refute_0_86,refute_0_88]) ).
cnf(refute_0_90,plain,
( times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)) != skolemFOFtoCNF_C(skolemFOFtoCNF_A)
| times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)),C) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)),C),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) ),[0,0],$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_91,plain,
( times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)),C) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_C(skolemFOFtoCNF_A)) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)),C),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) )],[refute_0_82,refute_0_91]) ).
cnf(refute_0_93,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_12) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),
inference(subst,[],[refute_0_92:[bind(C,$fot(X_12))]]) ).
cnf(refute_0_94,plain,
( times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_12) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_12) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_12))),bind(Y,$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))))]]) ).
cnf(refute_0_95,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_12),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_12),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
( times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) != times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_12)
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_12) = times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A)) ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A))) ),[0],$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_12))]]) ).
cnf(refute_0_97,plain,
( times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) != times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_12) = times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_12)) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_12) = times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A))) )],[refute_0_81,refute_0_97]) ).
cnf(refute_0_99,plain,
times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))),
introduced(tautology,[refl,[$fot(times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))))]]) ).
cnf(refute_0_100,plain,
( times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))) != times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)) != skolemFOFtoCNF_C(skolemFOFtoCNF_A)
| times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) ),
introduced(tautology,[equality,[$cnf( $equal(times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))),times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) ),[1,1],$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_101,plain,
( times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)) != skolemFOFtoCNF_C(skolemFOFtoCNF_A)
| times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( $equal(times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))),times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_C(skolemFOFtoCNF_A)) )],[refute_0_89,refute_0_101]) ).
cnf(refute_0_103,plain,
times(times(skolemFOFtoCNF_A,times(X_6,skolemFOFtoCNF_A)),C) = times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A)),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(times(X_6,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_104,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_6) = times(skolemFOFtoCNF_A,times(X_6,skolemFOFtoCNF_A)),
inference(subst,[],[refute_0_70:[bind(X_5,$fot(X_6))]]) ).
cnf(refute_0_105,plain,
( times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_6) != times(skolemFOFtoCNF_A,times(X_6,skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,times(X_6,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_6) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_6))),bind(Y,$fot(times(skolemFOFtoCNF_A,times(X_6,skolemFOFtoCNF_A))))]]) ).
cnf(refute_0_106,plain,
times(skolemFOFtoCNF_A,times(X_6,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_6),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_6),times(skolemFOFtoCNF_A,times(X_6,skolemFOFtoCNF_A))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
( times(skolemFOFtoCNF_A,times(X_6,skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_6)
| times(times(skolemFOFtoCNF_A,times(X_6,skolemFOFtoCNF_A)),C) != times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A))
| times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_6),C) = times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A)) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(skolemFOFtoCNF_A,times(X_6,skolemFOFtoCNF_A)),C),times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A))) ),[0,0],$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_6))]]) ).
cnf(refute_0_108,plain,
( times(times(skolemFOFtoCNF_A,times(X_6,skolemFOFtoCNF_A)),C) != times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A))
| times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_6),C) = times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(X_6,skolemFOFtoCNF_A)),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_6)) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_6),C) = times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A)),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_A,times(X_6,skolemFOFtoCNF_A)),C),times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A))) )],[refute_0_103,refute_0_108]) ).
cnf(refute_0_110,plain,
times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_6),C) = times(X_6,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A))),bind(B,$fot(X_6))]]) ).
cnf(refute_0_111,plain,
( times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_6),C) != times(X_6,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_6),C) != times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A))
| times(X_6,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A)) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_6),C),times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A))) ),[0],$fot(times(X_6,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))))]]) ).
cnf(refute_0_112,plain,
( times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_6),C) != times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A))
| times(X_6,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_6),C),times(X_6,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
times(times(C,skolemFOFtoCNF_A),X_6) = times(skolemFOFtoCNF_A,times(X_6,C)),
inference(subst,[],[refute_0_5:[bind(A,$fot(C)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_6))]]) ).
cnf(refute_0_114,plain,
times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_A),X_6)) = times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_A),X_6)),
introduced(tautology,[refl,[$fot(times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_A),X_6)))]]) ).
cnf(refute_0_115,plain,
( times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_A),X_6)) != times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_A),X_6))
| times(times(C,skolemFOFtoCNF_A),X_6) != times(skolemFOFtoCNF_A,times(X_6,C))
| times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_A),X_6)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_6,C))) ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_A),X_6)),times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_A),X_6))) ),[1,1],$fot(times(skolemFOFtoCNF_A,times(X_6,C)))]]) ).
cnf(refute_0_116,plain,
( times(times(C,skolemFOFtoCNF_A),X_6) != times(skolemFOFtoCNF_A,times(X_6,C))
| times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_A),X_6)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_6,C))) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_A),X_6)),times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_A),X_6))) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_A),X_6)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_6,C))),
inference(resolve,[$cnf( $equal(times(times(C,skolemFOFtoCNF_A),X_6),times(skolemFOFtoCNF_A,times(X_6,C))) )],[refute_0_113,refute_0_116]) ).
cnf(refute_0_118,plain,
times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_A),X_6)),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_6)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(times(C,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_119,plain,
( times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_A),X_6)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_6,C)))
| times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_A),X_6))
| times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_6,C))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A)))),bind(Y,$fot(times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_A),X_6)))),bind(Z,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_6,C)))))]]) ).
cnf(refute_0_120,plain,
( times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_A),X_6)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_6,C)))
| times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_6,C))) ),
inference(resolve,[$cnf( $equal(times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_A),X_6))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_6,C))),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(times(C,skolemFOFtoCNF_A),X_6)),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_6,C)))) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
( times(X_6,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) != times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A))
| times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_6,C)))
| times(X_6,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_6,C))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(times(X_6,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_6,C)))) ),[0],$fot(times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_123,plain,
( times(X_6,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) != times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A))
| times(X_6,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_6,C))) ),
inference(resolve,[$cnf( $equal(times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_6,C)))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
( times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_6),C) != times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A))
| times(X_6,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_6,C))) ),
inference(resolve,[$cnf( $equal(times(X_6,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A))) )],[refute_0_112,refute_0_123]) ).
cnf(refute_0_125,plain,
times(X_6,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_6,C))),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_6),C),times(times(X_6,skolemFOFtoCNF_A),times(C,skolemFOFtoCNF_A))) )],[refute_0_109,refute_0_124]) ).
cnf(refute_0_126,plain,
( times(X_6,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_6,C)))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_6,C))) = times(X_6,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(X_6,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))))),bind(Y,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_6,C)))))]]) ).
cnf(refute_0_127,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_6,C))) = times(X_6,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),
inference(resolve,[$cnf( $equal(times(X_6,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_6,C)))) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) = times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))),
inference(subst,[],[refute_0_127:[bind(C,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A))),bind(X_6,$fot(X_12))]]) ).
cnf(refute_0_129,plain,
times(skolemFOFtoCNF_A,times(A,B)) = times(skolemFOFtoCNF_A,times(times(A,B),skolemFOFtoCNF_C(skolemFOFtoCNF_A))),
inference(subst,[],[refute_0_80:[bind(C,$fot(times(A,B)))]]) ).
cnf(refute_0_130,plain,
times(times(A,B),skolemFOFtoCNF_C(skolemFOFtoCNF_A)) = times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),A)),
inference(subst,[],[refute_0_5:[bind(C,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_131,plain,
( times(skolemFOFtoCNF_A,times(A,B)) != times(skolemFOFtoCNF_A,times(times(A,B),skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(times(A,B),skolemFOFtoCNF_C(skolemFOFtoCNF_A)) != times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),A))
| times(skolemFOFtoCNF_A,times(A,B)) = times(skolemFOFtoCNF_A,times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),A))) ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_A,times(A,B)),times(skolemFOFtoCNF_A,times(times(A,B),skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) ),[1,1],$fot(times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),A)))]]) ).
cnf(refute_0_132,plain,
( times(skolemFOFtoCNF_A,times(A,B)) != times(skolemFOFtoCNF_A,times(times(A,B),skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_A,times(A,B)) = times(skolemFOFtoCNF_A,times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),A))) ),
inference(resolve,[$cnf( $equal(times(times(A,B),skolemFOFtoCNF_C(skolemFOFtoCNF_A)),times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),A))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
times(skolemFOFtoCNF_A,times(A,B)) = times(skolemFOFtoCNF_A,times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),A))),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(A,B)),times(skolemFOFtoCNF_A,times(times(A,B),skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) )],[refute_0_129,refute_0_132]) ).
cnf(refute_0_134,plain,
times(skolemFOFtoCNF_A,times(A,B)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(times(A,B),skolemFOFtoCNF_A)),
inference(subst,[],[refute_0_36:[bind(X_5,$fot(times(A,B)))]]) ).
cnf(refute_0_135,plain,
times(times(A,B),skolemFOFtoCNF_A) = times(B,times(skolemFOFtoCNF_A,A)),
inference(subst,[],[refute_0_5:[bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_136,plain,
( times(skolemFOFtoCNF_A,times(A,B)) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(times(A,B),skolemFOFtoCNF_A))
| times(times(A,B),skolemFOFtoCNF_A) != times(B,times(skolemFOFtoCNF_A,A))
| times(skolemFOFtoCNF_A,times(A,B)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(B,times(skolemFOFtoCNF_A,A))) ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_A,times(A,B)),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(times(A,B),skolemFOFtoCNF_A))) ),[1,1],$fot(times(B,times(skolemFOFtoCNF_A,A)))]]) ).
cnf(refute_0_137,plain,
( times(skolemFOFtoCNF_A,times(A,B)) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(times(A,B),skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,times(A,B)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(B,times(skolemFOFtoCNF_A,A))) ),
inference(resolve,[$cnf( $equal(times(times(A,B),skolemFOFtoCNF_A),times(B,times(skolemFOFtoCNF_A,A))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
times(skolemFOFtoCNF_A,times(A,B)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(B,times(skolemFOFtoCNF_A,A))),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(A,B)),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(times(A,B),skolemFOFtoCNF_A))) )],[refute_0_134,refute_0_137]) ).
cnf(refute_0_139,plain,
times(times(times(X_3,X_4),B),C) = times(B,times(C,times(X_3,X_4))),
inference(subst,[],[refute_0_5:[bind(A,$fot(times(X_3,X_4)))]]) ).
cnf(refute_0_140,plain,
times(times(X_3,X_4),B) = times(X_4,times(B,X_3)),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_3)),bind(B,$fot(X_4)),bind(C,$fot(B))]]) ).
cnf(refute_0_141,plain,
( times(times(X_3,X_4),B) != times(X_4,times(B,X_3))
| times(times(times(X_3,X_4),B),C) != times(B,times(C,times(X_3,X_4)))
| times(times(X_4,times(B,X_3)),C) = times(B,times(C,times(X_3,X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(times(X_3,X_4),B),C),times(B,times(C,times(X_3,X_4)))) ),[0,0],$fot(times(X_4,times(B,X_3)))]]) ).
cnf(refute_0_142,plain,
( times(times(times(X_3,X_4),B),C) != times(B,times(C,times(X_3,X_4)))
| times(times(X_4,times(B,X_3)),C) = times(B,times(C,times(X_3,X_4))) ),
inference(resolve,[$cnf( $equal(times(times(X_3,X_4),B),times(X_4,times(B,X_3))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
times(times(X_4,times(B,X_3)),C) = times(B,times(C,times(X_3,X_4))),
inference(resolve,[$cnf( $equal(times(times(times(X_3,X_4),B),C),times(B,times(C,times(X_3,X_4)))) )],[refute_0_139,refute_0_142]) ).
cnf(refute_0_144,plain,
times(times(C,X_4),B) = times(X_4,times(B,C)),
inference(subst,[],[refute_0_5:[bind(A,$fot(C)),bind(B,$fot(X_4)),bind(C,$fot(B))]]) ).
cnf(refute_0_145,plain,
times(X_3,times(times(C,X_4),B)) = times(X_3,times(times(C,X_4),B)),
introduced(tautology,[refl,[$fot(times(X_3,times(times(C,X_4),B)))]]) ).
cnf(refute_0_146,plain,
( times(X_3,times(times(C,X_4),B)) != times(X_3,times(times(C,X_4),B))
| times(times(C,X_4),B) != times(X_4,times(B,C))
| times(X_3,times(times(C,X_4),B)) = times(X_3,times(X_4,times(B,C))) ),
introduced(tautology,[equality,[$cnf( $equal(times(X_3,times(times(C,X_4),B)),times(X_3,times(times(C,X_4),B))) ),[1,1],$fot(times(X_4,times(B,C)))]]) ).
cnf(refute_0_147,plain,
( times(times(C,X_4),B) != times(X_4,times(B,C))
| times(X_3,times(times(C,X_4),B)) = times(X_3,times(X_4,times(B,C))) ),
inference(resolve,[$cnf( $equal(times(X_3,times(times(C,X_4),B)),times(X_3,times(times(C,X_4),B))) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
times(X_3,times(times(C,X_4),B)) = times(X_3,times(X_4,times(B,C))),
inference(resolve,[$cnf( $equal(times(times(C,X_4),B),times(X_4,times(B,C))) )],[refute_0_144,refute_0_147]) ).
cnf(refute_0_149,plain,
times(times(B,X_3),times(C,X_4)) = times(X_3,times(times(C,X_4),B)),
inference(subst,[],[refute_0_5:[bind(A,$fot(B)),bind(B,$fot(X_3)),bind(C,$fot(times(C,X_4)))]]) ).
cnf(refute_0_150,plain,
times(times(X_4,times(B,X_3)),C) = times(times(B,X_3),times(C,X_4)),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_4)),bind(B,$fot(times(B,X_3)))]]) ).
cnf(refute_0_151,plain,
( times(times(B,X_3),times(C,X_4)) != times(X_3,times(times(C,X_4),B))
| times(times(X_4,times(B,X_3)),C) != times(times(B,X_3),times(C,X_4))
| times(times(X_4,times(B,X_3)),C) = times(X_3,times(times(C,X_4),B)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(times(X_4,times(B,X_3)),C))),bind(Y,$fot(times(times(B,X_3),times(C,X_4)))),bind(Z,$fot(times(X_3,times(times(C,X_4),B))))]]) ).
cnf(refute_0_152,plain,
( times(times(B,X_3),times(C,X_4)) != times(X_3,times(times(C,X_4),B))
| times(times(X_4,times(B,X_3)),C) = times(X_3,times(times(C,X_4),B)) ),
inference(resolve,[$cnf( $equal(times(times(X_4,times(B,X_3)),C),times(times(B,X_3),times(C,X_4))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
times(times(X_4,times(B,X_3)),C) = times(X_3,times(times(C,X_4),B)),
inference(resolve,[$cnf( $equal(times(times(B,X_3),times(C,X_4)),times(X_3,times(times(C,X_4),B))) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
( times(X_3,times(times(C,X_4),B)) != times(X_3,times(X_4,times(B,C)))
| times(times(X_4,times(B,X_3)),C) != times(X_3,times(times(C,X_4),B))
| times(times(X_4,times(B,X_3)),C) = times(X_3,times(X_4,times(B,C))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(times(X_4,times(B,X_3)),C))),bind(Y,$fot(times(X_3,times(times(C,X_4),B)))),bind(Z,$fot(times(X_3,times(X_4,times(B,C)))))]]) ).
cnf(refute_0_155,plain,
( times(X_3,times(times(C,X_4),B)) != times(X_3,times(X_4,times(B,C)))
| times(times(X_4,times(B,X_3)),C) = times(X_3,times(X_4,times(B,C))) ),
inference(resolve,[$cnf( $equal(times(times(X_4,times(B,X_3)),C),times(X_3,times(times(C,X_4),B))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
times(times(X_4,times(B,X_3)),C) = times(X_3,times(X_4,times(B,C))),
inference(resolve,[$cnf( $equal(times(X_3,times(times(C,X_4),B)),times(X_3,times(X_4,times(B,C)))) )],[refute_0_148,refute_0_155]) ).
cnf(refute_0_157,plain,
( times(times(X_4,times(B,X_3)),C) != times(B,times(C,times(X_3,X_4)))
| times(times(X_4,times(B,X_3)),C) != times(X_3,times(X_4,times(B,C)))
| times(X_3,times(X_4,times(B,C))) = times(B,times(C,times(X_3,X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(X_4,times(B,X_3)),C),times(B,times(C,times(X_3,X_4)))) ),[0],$fot(times(X_3,times(X_4,times(B,C))))]]) ).
cnf(refute_0_158,plain,
( times(times(X_4,times(B,X_3)),C) != times(B,times(C,times(X_3,X_4)))
| times(X_3,times(X_4,times(B,C))) = times(B,times(C,times(X_3,X_4))) ),
inference(resolve,[$cnf( $equal(times(times(X_4,times(B,X_3)),C),times(X_3,times(X_4,times(B,C)))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
times(X_3,times(X_4,times(B,C))) = times(B,times(C,times(X_3,X_4))),
inference(resolve,[$cnf( $equal(times(times(X_4,times(B,X_3)),C),times(B,times(C,times(X_3,X_4)))) )],[refute_0_143,refute_0_158]) ).
cnf(refute_0_160,plain,
( times(X_3,times(X_4,times(B,C))) != times(B,times(C,times(X_3,X_4)))
| times(B,times(C,times(X_3,X_4))) = times(X_3,times(X_4,times(B,C))) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(X_3,times(X_4,times(B,C))))),bind(Y,$fot(times(B,times(C,times(X_3,X_4)))))]]) ).
cnf(refute_0_161,plain,
times(B,times(C,times(X_3,X_4))) = times(X_3,times(X_4,times(B,C))),
inference(resolve,[$cnf( $equal(times(X_3,times(X_4,times(B,C))),times(B,times(C,times(X_3,X_4)))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(B,times(skolemFOFtoCNF_A,A))) = times(skolemFOFtoCNF_A,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B))),
inference(subst,[],[refute_0_161:[bind(B,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A))),bind(C,$fot(B)),bind(X_3,$fot(skolemFOFtoCNF_A)),bind(X_4,$fot(A))]]) ).
cnf(refute_0_163,plain,
( times(skolemFOFtoCNF_A,times(A,B)) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(B,times(skolemFOFtoCNF_A,A)))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(B,times(skolemFOFtoCNF_A,A))) != times(skolemFOFtoCNF_A,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B)))
| times(skolemFOFtoCNF_A,times(A,B)) = times(skolemFOFtoCNF_A,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(times(skolemFOFtoCNF_A,times(A,B)),times(skolemFOFtoCNF_A,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B)))) ),[0],$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(B,times(skolemFOFtoCNF_A,A))))]]) ).
cnf(refute_0_164,plain,
( times(skolemFOFtoCNF_A,times(A,B)) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(B,times(skolemFOFtoCNF_A,A)))
| times(skolemFOFtoCNF_A,times(A,B)) = times(skolemFOFtoCNF_A,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B))) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(B,times(skolemFOFtoCNF_A,A))),times(skolemFOFtoCNF_A,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B)))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
times(skolemFOFtoCNF_A,times(A,B)) = times(skolemFOFtoCNF_A,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B))),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(A,B)),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(B,times(skolemFOFtoCNF_A,A)))) )],[refute_0_138,refute_0_164]) ).
cnf(refute_0_166,plain,
( times(skolemFOFtoCNF_A,times(A,B)) != times(skolemFOFtoCNF_A,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B)))
| times(skolemFOFtoCNF_A,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B))) = times(skolemFOFtoCNF_A,times(A,B)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(skolemFOFtoCNF_A,times(A,B)))),bind(Y,$fot(times(skolemFOFtoCNF_A,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B)))))]]) ).
cnf(refute_0_167,plain,
times(skolemFOFtoCNF_A,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B))) = times(skolemFOFtoCNF_A,times(A,B)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(A,B)),times(skolemFOFtoCNF_A,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B)))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
times(skolemFOFtoCNF_A,times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),A))) = times(skolemFOFtoCNF_A,times(B,A)),
inference(subst,[],[refute_0_167:[bind(A,$fot(B)),bind(B,$fot(A))]]) ).
cnf(refute_0_169,plain,
( times(skolemFOFtoCNF_A,times(A,B)) != times(skolemFOFtoCNF_A,times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),A)))
| times(skolemFOFtoCNF_A,times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),A))) != times(skolemFOFtoCNF_A,times(B,A))
| times(skolemFOFtoCNF_A,times(A,B)) = times(skolemFOFtoCNF_A,times(B,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(times(skolemFOFtoCNF_A,times(A,B)),times(skolemFOFtoCNF_A,times(B,A))) ),[0],$fot(times(skolemFOFtoCNF_A,times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),A))))]]) ).
cnf(refute_0_170,plain,
( times(skolemFOFtoCNF_A,times(A,B)) != times(skolemFOFtoCNF_A,times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),A)))
| times(skolemFOFtoCNF_A,times(A,B)) = times(skolemFOFtoCNF_A,times(B,A)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),A))),times(skolemFOFtoCNF_A,times(B,A))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
times(skolemFOFtoCNF_A,times(A,B)) = times(skolemFOFtoCNF_A,times(B,A)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(A,B)),times(skolemFOFtoCNF_A,times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),A)))) )],[refute_0_133,refute_0_170]) ).
cnf(refute_0_172,plain,
( times(skolemFOFtoCNF_A,times(A,B)) != times(skolemFOFtoCNF_A,times(B,A))
| times(skolemFOFtoCNF_A,times(B,A)) = times(skolemFOFtoCNF_A,times(A,B)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(skolemFOFtoCNF_A,times(A,B)))),bind(Y,$fot(times(skolemFOFtoCNF_A,times(B,A))))]]) ).
cnf(refute_0_173,plain,
times(skolemFOFtoCNF_A,times(B,A)) = times(skolemFOFtoCNF_A,times(A,B)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(A,B)),times(skolemFOFtoCNF_A,times(B,A))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))),
inference(subst,[],[refute_0_173:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A))))]]) ).
cnf(refute_0_175,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) != times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A))))
| times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A)) = times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A)))),bind(Y,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))))),bind(Z,$fot(times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)))))]]) ).
cnf(refute_0_176,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) != times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A)) = times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A))))) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A)) = times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))),times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) )],[refute_0_128,refute_0_176]) ).
cnf(refute_0_178,plain,
( times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))) != times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A)) != times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A)) = times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A)))),bind(Y,$fot(times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))))),bind(Z,$fot(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A))))]]) ).
cnf(refute_0_179,plain,
( times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))) != times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A)) = times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A)),times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A)) = times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),
inference(resolve,[$cnf( $equal(times(X_12,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))),times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) )],[refute_0_102,refute_0_179]) ).
cnf(refute_0_181,plain,
( times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A)) != times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_12) != times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_12) = times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_12),times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A))) ),[1],$fot(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_182,plain,
( times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_12) != times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_12) = times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A)),times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_12) = times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_12),times(skolemFOFtoCNF_A,times(times(X_12,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A))) )],[refute_0_98,refute_0_182]) ).
cnf(refute_0_184,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C) = times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),
inference(subst,[],[refute_0_183:[bind(X_12,$fot(C))]]) ).
cnf(refute_0_185,plain,
( times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C) != times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))
| times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C))),bind(Y,$fot(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))))]]) ).
cnf(refute_0_186,plain,
times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
( times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C)
| times(skolemFOFtoCNF_A,C) != times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_A,C) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C)) ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_A,C),times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) ),[1,1],$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C))]]) ).
cnf(refute_0_188,plain,
( times(skolemFOFtoCNF_A,C) != times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_A,C) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C)) ),
inference(resolve,[$cnf( $equal(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C)) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
times(skolemFOFtoCNF_A,C) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,C),times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) )],[refute_0_80,refute_0_188]) ).
cnf(refute_0_190,plain,
( times(skolemFOFtoCNF_A,C) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C)) = times(skolemFOFtoCNF_A,C) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(skolemFOFtoCNF_A,C))),bind(Y,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C))))]]) ).
cnf(refute_0_191,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C)) = times(skolemFOFtoCNF_A,C),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,C),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C))) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C))) = times(skolemFOFtoCNF_A,times(X_9,C)),
inference(subst,[],[refute_0_191:[bind(C,$fot(times(X_9,C)))]]) ).
cnf(refute_0_193,plain,
( times(X_9,times(C,skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C)))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C))) != times(skolemFOFtoCNF_A,times(X_9,C))
| times(X_9,times(C,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(X_9,C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(times(X_9,times(C,skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(X_9,C))) ),[0],$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C))))]]) ).
cnf(refute_0_194,plain,
( times(X_9,times(C,skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C)))
| times(X_9,times(C,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(X_9,C)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C))),times(skolemFOFtoCNF_A,times(X_9,C))) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
times(X_9,times(C,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(X_9,C)),
inference(resolve,[$cnf( $equal(times(X_9,times(C,skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,C)))) )],[refute_0_63,refute_0_194]) ).
cnf(refute_0_196,plain,
times(skolemFOFtoCNF_B,times(X_14,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,X_14)),
inference(subst,[],[refute_0_195:[bind(C,$fot(X_14)),bind(X_9,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_197,plain,
( times(skolemFOFtoCNF_B,times(X_14,skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,X_14))
| times(skolemFOFtoCNF_B,times(X_14,skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_B,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B)))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,X_14)) = times(skolemFOFtoCNF_B,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B))) ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_B,times(X_14,skolemFOFtoCNF_A)),times(skolemFOFtoCNF_B,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B)))) ),[0],$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,X_14)))]]) ).
cnf(refute_0_198,plain,
( times(skolemFOFtoCNF_B,times(X_14,skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_B,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B)))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,X_14)) = times(skolemFOFtoCNF_B,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B))) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(X_14,skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,X_14))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,X_14)) = times(skolemFOFtoCNF_B,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B))),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(X_14,skolemFOFtoCNF_A)),times(skolemFOFtoCNF_B,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B)))) )],[refute_0_28,refute_0_198]) ).
cnf(refute_0_200,plain,
times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,skolemFOFtoCNF_B)),C) = times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B))),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_B))),bind(B,$fot(times(X_8,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_201,plain,
times(times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_5) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_5,skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_B)),bind(B,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_B))),bind(C,$fot(X_5))]]) ).
cnf(refute_0_202,plain,
( times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)) != skolemFOFtoCNF_B
| times(times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_5) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_5,skolemFOFtoCNF_B))
| times(skolemFOFtoCNF_B,X_5) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_5,skolemFOFtoCNF_B)) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_5),times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_5,skolemFOFtoCNF_B))) ),[0,0],$fot(skolemFOFtoCNF_B)]]) ).
cnf(refute_0_203,plain,
( times(times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_5) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_5,skolemFOFtoCNF_B))
| times(skolemFOFtoCNF_B,X_5) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_5,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),skolemFOFtoCNF_B) )],[refute_0_21,refute_0_202]) ).
cnf(refute_0_204,plain,
times(skolemFOFtoCNF_B,X_5) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_5,skolemFOFtoCNF_B)),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_5),times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_5,skolemFOFtoCNF_B))) )],[refute_0_201,refute_0_203]) ).
cnf(refute_0_205,plain,
times(skolemFOFtoCNF_B,X_8) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_204:[bind(X_5,$fot(X_8))]]) ).
cnf(refute_0_206,plain,
( times(skolemFOFtoCNF_B,X_8) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,skolemFOFtoCNF_B))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,skolemFOFtoCNF_B)) = times(skolemFOFtoCNF_B,X_8) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(skolemFOFtoCNF_B,X_8))),bind(Y,$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,skolemFOFtoCNF_B))))]]) ).
cnf(refute_0_207,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,skolemFOFtoCNF_B)) = times(skolemFOFtoCNF_B,X_8),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,X_8),times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,skolemFOFtoCNF_B))) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
( times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,skolemFOFtoCNF_B)) != times(skolemFOFtoCNF_B,X_8)
| times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,skolemFOFtoCNF_B)),C) != times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))
| times(times(skolemFOFtoCNF_B,X_8),C) = times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B))) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,skolemFOFtoCNF_B)),C),times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))) ),[0,0],$fot(times(skolemFOFtoCNF_B,X_8))]]) ).
cnf(refute_0_209,plain,
( times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,skolemFOFtoCNF_B)),C) != times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))
| times(times(skolemFOFtoCNF_B,X_8),C) = times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B))) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,skolemFOFtoCNF_B)),times(skolemFOFtoCNF_B,X_8)) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
times(times(skolemFOFtoCNF_B,X_8),C) = times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B))),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,skolemFOFtoCNF_B)),C),times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))) )],[refute_0_200,refute_0_209]) ).
cnf(refute_0_211,plain,
times(times(skolemFOFtoCNF_B,X_8),C) = times(X_8,times(C,skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_B)),bind(B,$fot(X_8))]]) ).
cnf(refute_0_212,plain,
( times(times(skolemFOFtoCNF_B,X_8),C) != times(X_8,times(C,skolemFOFtoCNF_B))
| times(times(skolemFOFtoCNF_B,X_8),C) != times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))
| times(X_8,times(C,skolemFOFtoCNF_B)) = times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B))) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(skolemFOFtoCNF_B,X_8),C),times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))) ),[0],$fot(times(X_8,times(C,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_213,plain,
( times(times(skolemFOFtoCNF_B,X_8),C) != times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))
| times(X_8,times(C,skolemFOFtoCNF_B)) = times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B))) ),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_B,X_8),C),times(X_8,times(C,skolemFOFtoCNF_B))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_8) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C)),
inference(subst,[],[refute_0_5:[bind(A,$fot(C)),bind(B,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_B))),bind(C,$fot(X_8))]]) ).
cnf(refute_0_215,plain,
times(skolemFOFtoCNF_B,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_8)) = times(skolemFOFtoCNF_B,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_8)),
introduced(tautology,[refl,[$fot(times(skolemFOFtoCNF_B,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_8)))]]) ).
cnf(refute_0_216,plain,
( times(skolemFOFtoCNF_B,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_8)) != times(skolemFOFtoCNF_B,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_8))
| times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_8) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C))
| times(skolemFOFtoCNF_B,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_8)) = times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C))) ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_B,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_8)),times(skolemFOFtoCNF_B,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_8))) ),[1,1],$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C)))]]) ).
cnf(refute_0_217,plain,
( times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_8) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C))
| times(skolemFOFtoCNF_B,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_8)) = times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C))) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_8)),times(skolemFOFtoCNF_B,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_8))) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
times(skolemFOFtoCNF_B,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_8)) = times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C))),
inference(resolve,[$cnf( $equal(times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_8),times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C))) )],[refute_0_214,refute_0_217]) ).
cnf(refute_0_219,plain,
times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B))) = times(skolemFOFtoCNF_B,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_8)),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_8)),bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B))))]]) ).
cnf(refute_0_220,plain,
( times(skolemFOFtoCNF_B,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_8)) != times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C)))
| times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B))) != times(skolemFOFtoCNF_B,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_8))
| times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B))) = times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B))))),bind(Y,$fot(times(skolemFOFtoCNF_B,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_8)))),bind(Z,$fot(times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C)))))]]) ).
cnf(refute_0_221,plain,
( times(skolemFOFtoCNF_B,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_8)) != times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C)))
| times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B))) = times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C))) ),
inference(resolve,[$cnf( $equal(times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B))),times(skolemFOFtoCNF_B,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_8))) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B))) = times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C))),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)),X_8)),times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C)))) )],[refute_0_218,refute_0_221]) ).
cnf(refute_0_223,plain,
( times(X_8,times(C,skolemFOFtoCNF_B)) != times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))
| times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B))) != times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C)))
| times(X_8,times(C,skolemFOFtoCNF_B)) = times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(times(X_8,times(C,skolemFOFtoCNF_B)),times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C)))) ),[0],$fot(times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B))))]]) ).
cnf(refute_0_224,plain,
( times(X_8,times(C,skolemFOFtoCNF_B)) != times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))
| times(X_8,times(C,skolemFOFtoCNF_B)) = times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C))) ),
inference(resolve,[$cnf( $equal(times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B))),times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C)))) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
( times(times(skolemFOFtoCNF_B,X_8),C) != times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))
| times(X_8,times(C,skolemFOFtoCNF_B)) = times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C))) ),
inference(resolve,[$cnf( $equal(times(X_8,times(C,skolemFOFtoCNF_B)),times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))) )],[refute_0_213,refute_0_224]) ).
cnf(refute_0_226,plain,
times(X_8,times(C,skolemFOFtoCNF_B)) = times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C))),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_B,X_8),C),times(times(X_8,skolemFOFtoCNF_B),times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))) )],[refute_0_210,refute_0_225]) ).
cnf(refute_0_227,plain,
( times(X_8,times(C,skolemFOFtoCNF_B)) != times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C)))
| times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C))) = times(X_8,times(C,skolemFOFtoCNF_B)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(X_8,times(C,skolemFOFtoCNF_B)))),bind(Y,$fot(times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C)))))]]) ).
cnf(refute_0_228,plain,
times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C))) = times(X_8,times(C,skolemFOFtoCNF_B)),
inference(resolve,[$cnf( $equal(times(X_8,times(C,skolemFOFtoCNF_B)),times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_8,C)))) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_14,skolemFOFtoCNF_A))) = times(X_14,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_228:[bind(C,$fot(skolemFOFtoCNF_A)),bind(X_8,$fot(X_14))]]) ).
cnf(refute_0_230,plain,
times(skolemFOFtoCNF_B,times(A,B)) = times(skolemFOFtoCNF_B,times(times(A,B),skolemFOFtoCNF_C(skolemFOFtoCNF_B))),
inference(subst,[],[refute_0_27:[bind(C,$fot(times(A,B)))]]) ).
cnf(refute_0_231,plain,
times(times(A,B),skolemFOFtoCNF_C(skolemFOFtoCNF_B)) = times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),A)),
inference(subst,[],[refute_0_5:[bind(C,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_232,plain,
( times(skolemFOFtoCNF_B,times(A,B)) != times(skolemFOFtoCNF_B,times(times(A,B),skolemFOFtoCNF_C(skolemFOFtoCNF_B)))
| times(times(A,B),skolemFOFtoCNF_C(skolemFOFtoCNF_B)) != times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),A))
| times(skolemFOFtoCNF_B,times(A,B)) = times(skolemFOFtoCNF_B,times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),A))) ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_B,times(A,B)),times(skolemFOFtoCNF_B,times(times(A,B),skolemFOFtoCNF_C(skolemFOFtoCNF_B)))) ),[1,1],$fot(times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),A)))]]) ).
cnf(refute_0_233,plain,
( times(skolemFOFtoCNF_B,times(A,B)) != times(skolemFOFtoCNF_B,times(times(A,B),skolemFOFtoCNF_C(skolemFOFtoCNF_B)))
| times(skolemFOFtoCNF_B,times(A,B)) = times(skolemFOFtoCNF_B,times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),A))) ),
inference(resolve,[$cnf( $equal(times(times(A,B),skolemFOFtoCNF_C(skolemFOFtoCNF_B)),times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),A))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
times(skolemFOFtoCNF_B,times(A,B)) = times(skolemFOFtoCNF_B,times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),A))),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(A,B)),times(skolemFOFtoCNF_B,times(times(A,B),skolemFOFtoCNF_C(skolemFOFtoCNF_B)))) )],[refute_0_230,refute_0_233]) ).
cnf(refute_0_235,plain,
times(skolemFOFtoCNF_B,times(A,B)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(times(A,B),skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_204:[bind(X_5,$fot(times(A,B)))]]) ).
cnf(refute_0_236,plain,
times(times(A,B),skolemFOFtoCNF_B) = times(B,times(skolemFOFtoCNF_B,A)),
inference(subst,[],[refute_0_5:[bind(C,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_237,plain,
( times(skolemFOFtoCNF_B,times(A,B)) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(times(A,B),skolemFOFtoCNF_B))
| times(times(A,B),skolemFOFtoCNF_B) != times(B,times(skolemFOFtoCNF_B,A))
| times(skolemFOFtoCNF_B,times(A,B)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(B,times(skolemFOFtoCNF_B,A))) ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_B,times(A,B)),times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(times(A,B),skolemFOFtoCNF_B))) ),[1,1],$fot(times(B,times(skolemFOFtoCNF_B,A)))]]) ).
cnf(refute_0_238,plain,
( times(skolemFOFtoCNF_B,times(A,B)) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(times(A,B),skolemFOFtoCNF_B))
| times(skolemFOFtoCNF_B,times(A,B)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(B,times(skolemFOFtoCNF_B,A))) ),
inference(resolve,[$cnf( $equal(times(times(A,B),skolemFOFtoCNF_B),times(B,times(skolemFOFtoCNF_B,A))) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
times(skolemFOFtoCNF_B,times(A,B)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(B,times(skolemFOFtoCNF_B,A))),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(A,B)),times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(times(A,B),skolemFOFtoCNF_B))) )],[refute_0_235,refute_0_238]) ).
cnf(refute_0_240,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(B,times(skolemFOFtoCNF_B,A))) = times(skolemFOFtoCNF_B,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),B))),
inference(subst,[],[refute_0_161:[bind(B,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_B))),bind(C,$fot(B)),bind(X_3,$fot(skolemFOFtoCNF_B)),bind(X_4,$fot(A))]]) ).
cnf(refute_0_241,plain,
( times(skolemFOFtoCNF_B,times(A,B)) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(B,times(skolemFOFtoCNF_B,A)))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(B,times(skolemFOFtoCNF_B,A))) != times(skolemFOFtoCNF_B,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),B)))
| times(skolemFOFtoCNF_B,times(A,B)) = times(skolemFOFtoCNF_B,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(times(skolemFOFtoCNF_B,times(A,B)),times(skolemFOFtoCNF_B,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),B)))) ),[0],$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(B,times(skolemFOFtoCNF_B,A))))]]) ).
cnf(refute_0_242,plain,
( times(skolemFOFtoCNF_B,times(A,B)) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(B,times(skolemFOFtoCNF_B,A)))
| times(skolemFOFtoCNF_B,times(A,B)) = times(skolemFOFtoCNF_B,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),B))) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(B,times(skolemFOFtoCNF_B,A))),times(skolemFOFtoCNF_B,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),B)))) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
times(skolemFOFtoCNF_B,times(A,B)) = times(skolemFOFtoCNF_B,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),B))),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(A,B)),times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(B,times(skolemFOFtoCNF_B,A)))) )],[refute_0_239,refute_0_242]) ).
cnf(refute_0_244,plain,
( times(skolemFOFtoCNF_B,times(A,B)) != times(skolemFOFtoCNF_B,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),B)))
| times(skolemFOFtoCNF_B,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),B))) = times(skolemFOFtoCNF_B,times(A,B)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(skolemFOFtoCNF_B,times(A,B)))),bind(Y,$fot(times(skolemFOFtoCNF_B,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),B)))))]]) ).
cnf(refute_0_245,plain,
times(skolemFOFtoCNF_B,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),B))) = times(skolemFOFtoCNF_B,times(A,B)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(A,B)),times(skolemFOFtoCNF_B,times(A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),B)))) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
times(skolemFOFtoCNF_B,times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),A))) = times(skolemFOFtoCNF_B,times(B,A)),
inference(subst,[],[refute_0_245:[bind(A,$fot(B)),bind(B,$fot(A))]]) ).
cnf(refute_0_247,plain,
( times(skolemFOFtoCNF_B,times(A,B)) != times(skolemFOFtoCNF_B,times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),A)))
| times(skolemFOFtoCNF_B,times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),A))) != times(skolemFOFtoCNF_B,times(B,A))
| times(skolemFOFtoCNF_B,times(A,B)) = times(skolemFOFtoCNF_B,times(B,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(times(skolemFOFtoCNF_B,times(A,B)),times(skolemFOFtoCNF_B,times(B,A))) ),[0],$fot(times(skolemFOFtoCNF_B,times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),A))))]]) ).
cnf(refute_0_248,plain,
( times(skolemFOFtoCNF_B,times(A,B)) != times(skolemFOFtoCNF_B,times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),A)))
| times(skolemFOFtoCNF_B,times(A,B)) = times(skolemFOFtoCNF_B,times(B,A)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),A))),times(skolemFOFtoCNF_B,times(B,A))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
times(skolemFOFtoCNF_B,times(A,B)) = times(skolemFOFtoCNF_B,times(B,A)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(A,B)),times(skolemFOFtoCNF_B,times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),A)))) )],[refute_0_234,refute_0_248]) ).
cnf(refute_0_250,plain,
( times(skolemFOFtoCNF_B,times(A,B)) != times(skolemFOFtoCNF_B,times(B,A))
| times(skolemFOFtoCNF_B,times(B,A)) = times(skolemFOFtoCNF_B,times(A,B)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(skolemFOFtoCNF_B,times(A,B)))),bind(Y,$fot(times(skolemFOFtoCNF_B,times(B,A))))]]) ).
cnf(refute_0_251,plain,
times(skolemFOFtoCNF_B,times(B,A)) = times(skolemFOFtoCNF_B,times(A,B)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(A,B)),times(skolemFOFtoCNF_B,times(B,A))) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
times(skolemFOFtoCNF_B,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B))) = times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_14,skolemFOFtoCNF_A))),
inference(subst,[],[refute_0_251:[bind(A,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_B))),bind(B,$fot(times(X_14,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_253,plain,
( times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_14,skolemFOFtoCNF_A))) != times(X_14,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))
| times(skolemFOFtoCNF_B,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B))) != times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_14,skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_B,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B))) = times(X_14,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(skolemFOFtoCNF_B,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B))))),bind(Y,$fot(times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_14,skolemFOFtoCNF_A))))),bind(Z,$fot(times(X_14,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))]]) ).
cnf(refute_0_254,plain,
( times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_14,skolemFOFtoCNF_A))) != times(X_14,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))
| times(skolemFOFtoCNF_B,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B))) = times(X_14,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B))),times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_14,skolemFOFtoCNF_A)))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
times(skolemFOFtoCNF_B,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B))) = times(X_14,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(X_14,skolemFOFtoCNF_A))),times(X_14,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) )],[refute_0_229,refute_0_254]) ).
cnf(refute_0_256,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,X_14)) != times(skolemFOFtoCNF_B,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B)))
| times(skolemFOFtoCNF_B,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B))) != times(X_14,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,X_14)) = times(X_14,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,X_14)),times(X_14,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) ),[0],$fot(times(skolemFOFtoCNF_B,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B))))]]) ).
cnf(refute_0_257,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,X_14)) != times(skolemFOFtoCNF_B,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B)))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,X_14)) = times(X_14,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B))),times(X_14,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,X_14)) = times(X_14,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,X_14)),times(skolemFOFtoCNF_B,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B)))) )],[refute_0_199,refute_0_257]) ).
cnf(refute_0_259,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) = times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_258:[bind(X_14,$fot(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_260,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) != times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))
| times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))),bind(Y,$fot(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))]]) ).
cnf(refute_0_261,plain,
times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))),times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
( times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))
| times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) != times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) = times(skolemFOFtoCNF_A,skolemFOFtoCNF_B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) ),[0,1],$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))]]) ).
cnf(refute_0_263,plain,
( times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) != times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) = times(skolemFOFtoCNF_A,skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
( times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) != times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| element(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) )],[refute_0_263,refute_0_4]) ).
cnf(refute_0_265,plain,
( times(skolemFOFtoCNF_A,C) != times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(skolemFOFtoCNF_A,C) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(skolemFOFtoCNF_A,C))),bind(Y,$fot(times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))))]]) ).
cnf(refute_0_266,plain,
times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(skolemFOFtoCNF_A,C),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,C),times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) )],[refute_0_80,refute_0_265]) ).
cnf(refute_0_267,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),
inference(subst,[],[refute_0_266:[bind(C,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_268,plain,
( times(skolemFOFtoCNF_B,C) != times(skolemFOFtoCNF_B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))
| times(skolemFOFtoCNF_B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B))) = times(skolemFOFtoCNF_B,C) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(skolemFOFtoCNF_B,C))),bind(Y,$fot(times(skolemFOFtoCNF_B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))))]]) ).
cnf(refute_0_269,plain,
times(skolemFOFtoCNF_B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B))) = times(skolemFOFtoCNF_B,C),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,C),times(skolemFOFtoCNF_B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))) )],[refute_0_27,refute_0_268]) ).
cnf(refute_0_270,plain,
times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B))) = times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),
inference(subst,[],[refute_0_269:[bind(C,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_271,plain,
times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(X_9,times(X_14,skolemFOFtoCNF_A))),
inference(subst,[],[refute_0_195:[bind(C,$fot(times(X_14,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_272,plain,
times(X_9,times(X_14,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(X_9,X_14)),
inference(subst,[],[refute_0_195:[bind(C,$fot(X_14))]]) ).
cnf(refute_0_273,plain,
( times(X_9,times(X_14,skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(X_9,X_14))
| times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(X_9,times(X_14,skolemFOFtoCNF_A)))
| times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_9,X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(X_9,times(X_14,skolemFOFtoCNF_A)))) ),[1,1],$fot(times(skolemFOFtoCNF_A,times(X_9,X_14)))]]) ).
cnf(refute_0_274,plain,
( times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(X_9,times(X_14,skolemFOFtoCNF_A)))
| times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_9,X_14))) ),
inference(resolve,[$cnf( $equal(times(X_9,times(X_14,skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(X_9,X_14))) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_9,X_14))),
inference(resolve,[$cnf( $equal(times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(X_9,times(X_14,skolemFOFtoCNF_A)))) )],[refute_0_271,refute_0_274]) ).
cnf(refute_0_276,plain,
times(skolemFOFtoCNF_A,times(X_14,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))),
inference(subst,[],[refute_0_80:[bind(C,$fot(times(X_14,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_277,plain,
times(skolemFOFtoCNF_A,times(X_14,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,X_14)),
inference(subst,[],[refute_0_195:[bind(C,$fot(X_14)),bind(X_9,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_278,plain,
( times(skolemFOFtoCNF_A,times(X_14,skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,X_14))
| times(skolemFOFtoCNF_A,times(X_14,skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,X_14)) = times(skolemFOFtoCNF_A,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))) ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_A,times(X_14,skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) ),[0],$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,X_14)))]]) ).
cnf(refute_0_279,plain,
( times(skolemFOFtoCNF_A,times(X_14,skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,X_14)) = times(skolemFOFtoCNF_A,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(X_14,skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,X_14))) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,X_14)) = times(skolemFOFtoCNF_A,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(X_14,skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) )],[refute_0_276,refute_0_279]) ).
cnf(refute_0_281,plain,
( times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_5) != times(skolemFOFtoCNF_A,times(X_5,skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,times(X_5,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_5) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_5))),bind(Y,$fot(times(skolemFOFtoCNF_A,times(X_5,skolemFOFtoCNF_A))))]]) ).
cnf(refute_0_282,plain,
times(skolemFOFtoCNF_A,times(X_5,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_5),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_5),times(skolemFOFtoCNF_A,times(X_5,skolemFOFtoCNF_A))) )],[refute_0_70,refute_0_281]) ).
cnf(refute_0_283,plain,
times(skolemFOFtoCNF_A,times(X_14,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14),
inference(subst,[],[refute_0_282:[bind(X_5,$fot(X_14))]]) ).
cnf(refute_0_284,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_14,skolemFOFtoCNF_A))) = times(skolemFOFtoCNF_A,times(X_14,skolemFOFtoCNF_A)),
inference(subst,[],[refute_0_191:[bind(C,$fot(times(X_14,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_285,plain,
( times(skolemFOFtoCNF_A,times(X_14,skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_14,skolemFOFtoCNF_A))) != times(skolemFOFtoCNF_A,times(X_14,skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_14,skolemFOFtoCNF_A))) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_14,skolemFOFtoCNF_A))))),bind(Y,$fot(times(skolemFOFtoCNF_A,times(X_14,skolemFOFtoCNF_A)))),bind(Z,$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)))]]) ).
cnf(refute_0_286,plain,
( times(skolemFOFtoCNF_A,times(X_14,skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_14,skolemFOFtoCNF_A))) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_14,skolemFOFtoCNF_A))),times(skolemFOFtoCNF_A,times(X_14,skolemFOFtoCNF_A))) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_14,skolemFOFtoCNF_A))) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(X_14,skolemFOFtoCNF_A)),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)) )],[refute_0_283,refute_0_286]) ).
cnf(refute_0_288,plain,
times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B),C) = times(B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_289,plain,
( times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C)
| times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B),C) != times(B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B),C) = times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C)) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B),C),times(B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) ),[1,1],$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C))]]) ).
cnf(refute_0_290,plain,
( times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B),C) != times(B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B),C) = times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C)) ),
inference(resolve,[$cnf( $equal(times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C)) )],[refute_0_186,refute_0_289]) ).
cnf(refute_0_291,plain,
times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B),C) = times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C)),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B),C),times(B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) )],[refute_0_288,refute_0_290]) ).
cnf(refute_0_292,plain,
( times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B),C) != times(B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B),C) != times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C))
| times(B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C)) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B),C),times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C))) ),[0],$fot(times(B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))))]]) ).
cnf(refute_0_293,plain,
( times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B),C) != times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C))
| times(B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C)) ),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B),C),times(B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) )],[refute_0_288,refute_0_292]) ).
cnf(refute_0_294,plain,
times(B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C)),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),B),C),times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C))) )],[refute_0_291,refute_0_293]) ).
cnf(refute_0_295,plain,
times(skolemFOFtoCNF_A,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_14,skolemFOFtoCNF_A))),
inference(subst,[],[refute_0_294:[bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(times(X_14,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_296,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_14,skolemFOFtoCNF_A))) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)
| times(skolemFOFtoCNF_A,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_14,skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_A,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(skolemFOFtoCNF_A,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))))),bind(Y,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_14,skolemFOFtoCNF_A))))),bind(Z,$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)))]]) ).
cnf(refute_0_297,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_14,skolemFOFtoCNF_A))) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)
| times(skolemFOFtoCNF_A,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_14,skolemFOFtoCNF_A)))) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
times(skolemFOFtoCNF_A,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_14,skolemFOFtoCNF_A))),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)) )],[refute_0_287,refute_0_297]) ).
cnf(refute_0_299,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,X_14)) != times(skolemFOFtoCNF_A,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_A,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,X_14)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14) ),
introduced(tautology,[equality,[$cnf( ~ $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,X_14)),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)) ),[0],$fot(times(skolemFOFtoCNF_A,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))))]]) ).
cnf(refute_0_300,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,X_14)) != times(skolemFOFtoCNF_A,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,X_14)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A))),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,X_14)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,X_14)),times(skolemFOFtoCNF_A,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) )],[refute_0_280,refute_0_300]) ).
cnf(refute_0_302,plain,
times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,X_14)),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_14)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_303,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,X_14)) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)
| times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,X_14))
| times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A))),bind(Y,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,X_14)))),bind(Z,$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)))]]) ).
cnf(refute_0_304,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,X_14)) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)
| times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14) ),
inference(resolve,[$cnf( $equal(times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,X_14))) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,X_14)),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)) )],[refute_0_301,refute_0_304]) ).
cnf(refute_0_306,plain,
times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)) = times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)),
introduced(tautology,[refl,[$fot(times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_307,plain,
( times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)) != times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A))
| times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)
| times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)) = times(X_9,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)),times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A))) ),[1,1],$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14))]]) ).
cnf(refute_0_308,plain,
( times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)
| times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)) = times(X_9,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)) ),
inference(resolve,[$cnf( $equal(times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)),times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)) = times(X_9,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)),
inference(resolve,[$cnf( $equal(times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)) )],[refute_0_305,refute_0_308]) ).
cnf(refute_0_310,plain,
( times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)) != times(X_9,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14))
| times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_9,X_14)))
| times(X_9,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_9,X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_9,X_14)))) ),[0],$fot(times(X_9,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)))]]) ).
cnf(refute_0_311,plain,
( times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_9,X_14)))
| times(X_9,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_9,X_14))) ),
inference(resolve,[$cnf( $equal(times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)),times(X_9,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_9,X_14))) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,X_14)),
inference(subst,[],[refute_0_301:[bind(X_14,$fot(times(X_9,X_14)))]]) ).
cnf(refute_0_313,plain,
( times(X_9,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_9,X_14)))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_9,X_14))) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,X_14))
| times(X_9,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,X_14)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(times(X_9,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,X_14))) ),[0],$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_9,X_14))))]]) ).
cnf(refute_0_314,plain,
( times(X_9,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_9,X_14)))
| times(X_9,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,X_14)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_9,X_14))),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,X_14))) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
( times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_9,X_14)))
| times(X_9,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,X_14)) ),
inference(resolve,[$cnf( $equal(times(X_9,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_9,X_14)))) )],[refute_0_311,refute_0_314]) ).
cnf(refute_0_316,plain,
times(X_9,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,X_14)),
inference(resolve,[$cnf( $equal(times(X_9,times(times(X_14,skolemFOFtoCNF_A),skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(X_9,X_14)))) )],[refute_0_275,refute_0_315]) ).
cnf(refute_0_317,plain,
( times(X_9,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,X_14))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,X_14)) = times(X_9,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(X_9,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)))),bind(Y,$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,X_14))))]]) ).
cnf(refute_0_318,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,X_14)) = times(X_9,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)),
inference(resolve,[$cnf( $equal(times(X_9,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),X_14)),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(X_9,X_14))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B))) = times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B))),
inference(subst,[],[refute_0_318:[bind(X_14,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_B))),bind(X_9,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_320,plain,
( times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B))) != times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B))) != times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B)))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B))) = times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B))))),bind(Y,$fot(times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B))))),bind(Z,$fot(times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))))]]) ).
cnf(refute_0_321,plain,
( times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B))) != times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B))) = times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B))),times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B)))) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B))) = times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_C(skolemFOFtoCNF_B))),times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) )],[refute_0_270,refute_0_321]) ).
cnf(refute_0_323,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B))),
inference(subst,[],[refute_0_301:[bind(X_14,$fot(times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B))))]]) ).
cnf(refute_0_324,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))
| times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B))) != times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))))),bind(Y,$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B))))),bind(Z,$fot(times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))))]]) ).
cnf(refute_0_325,plain,
( times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B))) != times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))),times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B))),times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) )],[refute_0_322,refute_0_325]) ).
cnf(refute_0_327,plain,
times(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),B),C) = times(B,times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))),
inference(subst,[],[refute_0_5:[bind(A,$fot(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_328,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,C)) = times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_258:[bind(X_14,$fot(C))]]) ).
cnf(refute_0_329,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,C)) != times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))
| times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,C)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,C)))),bind(Y,$fot(times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))]]) ).
cnf(refute_0_330,plain,
times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,C)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,C)),times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
( times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,C))
| times(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),B),C) != times(B,times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))
| times(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),B),C) = times(B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,C))) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),B),C),times(B,times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) ),[1,1],$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,C)))]]) ).
cnf(refute_0_332,plain,
( times(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),B),C) != times(B,times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))
| times(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),B),C) = times(B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,C))) ),
inference(resolve,[$cnf( $equal(times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,C))) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
times(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),B),C) = times(B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,C))),
inference(resolve,[$cnf( $equal(times(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),B),C),times(B,times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) )],[refute_0_327,refute_0_332]) ).
cnf(refute_0_334,plain,
( times(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),B),C) != times(B,times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))
| times(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),B),C) != times(B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,C)))
| times(B,times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) = times(B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,C))) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),B),C),times(B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,C)))) ),[0],$fot(times(B,times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))]]) ).
cnf(refute_0_335,plain,
( times(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),B),C) != times(B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,C)))
| times(B,times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) = times(B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,C))) ),
inference(resolve,[$cnf( $equal(times(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),B),C),times(B,times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) )],[refute_0_327,refute_0_334]) ).
cnf(refute_0_336,plain,
times(B,times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) = times(B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,C))),
inference(resolve,[$cnf( $equal(times(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),B),C),times(B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,C)))) )],[refute_0_333,refute_0_335]) ).
cnf(refute_0_337,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))),
inference(subst,[],[refute_0_336:[bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_338,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))) != times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B))))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) = times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))),bind(Y,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))))),bind(Z,$fot(times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))))]]) ).
cnf(refute_0_339,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))) != times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) = times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B))))) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) = times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_B)))),times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) )],[refute_0_326,refute_0_339]) ).
cnf(refute_0_341,plain,
times(skolemFOFtoCNF_B,times(times(X_5,skolemFOFtoCNF_B),skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(X_5,skolemFOFtoCNF_B))),
inference(subst,[],[refute_0_195:[bind(C,$fot(times(X_5,skolemFOFtoCNF_B))),bind(X_9,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_342,plain,
( times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),X_5) != times(skolemFOFtoCNF_B,times(X_5,skolemFOFtoCNF_B))
| times(skolemFOFtoCNF_B,times(X_5,skolemFOFtoCNF_B)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),X_5) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),X_5))),bind(Y,$fot(times(skolemFOFtoCNF_B,times(X_5,skolemFOFtoCNF_B))))]]) ).
cnf(refute_0_343,plain,
times(skolemFOFtoCNF_B,times(X_5,skolemFOFtoCNF_B)) = times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),X_5),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),X_5),times(skolemFOFtoCNF_B,times(X_5,skolemFOFtoCNF_B))) )],[refute_0_14,refute_0_342]) ).
cnf(refute_0_344,plain,
( times(skolemFOFtoCNF_B,times(X_5,skolemFOFtoCNF_B)) != times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),X_5)
| times(skolemFOFtoCNF_B,times(times(X_5,skolemFOFtoCNF_B),skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(X_5,skolemFOFtoCNF_B)))
| times(skolemFOFtoCNF_B,times(times(X_5,skolemFOFtoCNF_B),skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_B,times(times(X_5,skolemFOFtoCNF_B),skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(X_5,skolemFOFtoCNF_B)))) ),[1,1],$fot(times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),X_5))]]) ).
cnf(refute_0_345,plain,
( times(skolemFOFtoCNF_B,times(times(X_5,skolemFOFtoCNF_B),skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(X_5,skolemFOFtoCNF_B)))
| times(skolemFOFtoCNF_B,times(times(X_5,skolemFOFtoCNF_B),skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),X_5)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(X_5,skolemFOFtoCNF_B)),times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),X_5)) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
times(skolemFOFtoCNF_B,times(times(X_5,skolemFOFtoCNF_B),skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),X_5)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(times(X_5,skolemFOFtoCNF_B),skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(X_5,skolemFOFtoCNF_B)))) )],[refute_0_341,refute_0_345]) ).
cnf(refute_0_347,plain,
times(times(A,B),times(X_14,skolemFOFtoCNF_A)) = times(B,times(times(X_14,skolemFOFtoCNF_A),A)),
inference(subst,[],[refute_0_5:[bind(C,$fot(times(X_14,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_348,plain,
times(times(A,B),times(X_14,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(times(A,B),X_14)),
inference(subst,[],[refute_0_195:[bind(C,$fot(X_14)),bind(X_9,$fot(times(A,B)))]]) ).
cnf(refute_0_349,plain,
( times(times(A,B),times(X_14,skolemFOFtoCNF_A)) != times(B,times(times(X_14,skolemFOFtoCNF_A),A))
| times(times(A,B),times(X_14,skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(times(A,B),X_14))
| times(skolemFOFtoCNF_A,times(times(A,B),X_14)) = times(B,times(times(X_14,skolemFOFtoCNF_A),A)) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(A,B),times(X_14,skolemFOFtoCNF_A)),times(B,times(times(X_14,skolemFOFtoCNF_A),A))) ),[0],$fot(times(skolemFOFtoCNF_A,times(times(A,B),X_14)))]]) ).
cnf(refute_0_350,plain,
( times(times(A,B),times(X_14,skolemFOFtoCNF_A)) != times(B,times(times(X_14,skolemFOFtoCNF_A),A))
| times(skolemFOFtoCNF_A,times(times(A,B),X_14)) = times(B,times(times(X_14,skolemFOFtoCNF_A),A)) ),
inference(resolve,[$cnf( $equal(times(times(A,B),times(X_14,skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(times(A,B),X_14))) )],[refute_0_348,refute_0_349]) ).
cnf(refute_0_351,plain,
times(skolemFOFtoCNF_A,times(times(A,B),X_14)) = times(B,times(times(X_14,skolemFOFtoCNF_A),A)),
inference(resolve,[$cnf( $equal(times(times(A,B),times(X_14,skolemFOFtoCNF_A)),times(B,times(times(X_14,skolemFOFtoCNF_A),A))) )],[refute_0_347,refute_0_350]) ).
cnf(refute_0_352,plain,
times(times(A,B),X_14) = times(B,times(X_14,A)),
inference(subst,[],[refute_0_5:[bind(C,$fot(X_14))]]) ).
cnf(refute_0_353,plain,
times(skolemFOFtoCNF_A,times(times(A,B),X_14)) = times(skolemFOFtoCNF_A,times(times(A,B),X_14)),
introduced(tautology,[refl,[$fot(times(skolemFOFtoCNF_A,times(times(A,B),X_14)))]]) ).
cnf(refute_0_354,plain,
( times(skolemFOFtoCNF_A,times(times(A,B),X_14)) != times(skolemFOFtoCNF_A,times(times(A,B),X_14))
| times(times(A,B),X_14) != times(B,times(X_14,A))
| times(skolemFOFtoCNF_A,times(times(A,B),X_14)) = times(skolemFOFtoCNF_A,times(B,times(X_14,A))) ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_A,times(times(A,B),X_14)),times(skolemFOFtoCNF_A,times(times(A,B),X_14))) ),[1,1],$fot(times(B,times(X_14,A)))]]) ).
cnf(refute_0_355,plain,
( times(times(A,B),X_14) != times(B,times(X_14,A))
| times(skolemFOFtoCNF_A,times(times(A,B),X_14)) = times(skolemFOFtoCNF_A,times(B,times(X_14,A))) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(times(A,B),X_14)),times(skolemFOFtoCNF_A,times(times(A,B),X_14))) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
times(skolemFOFtoCNF_A,times(times(A,B),X_14)) = times(skolemFOFtoCNF_A,times(B,times(X_14,A))),
inference(resolve,[$cnf( $equal(times(times(A,B),X_14),times(B,times(X_14,A))) )],[refute_0_352,refute_0_355]) ).
cnf(refute_0_357,plain,
( times(skolemFOFtoCNF_A,times(times(A,B),X_14)) != times(B,times(times(X_14,skolemFOFtoCNF_A),A))
| times(skolemFOFtoCNF_A,times(times(A,B),X_14)) != times(skolemFOFtoCNF_A,times(B,times(X_14,A)))
| times(skolemFOFtoCNF_A,times(B,times(X_14,A))) = times(B,times(times(X_14,skolemFOFtoCNF_A),A)) ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_A,times(times(A,B),X_14)),times(B,times(times(X_14,skolemFOFtoCNF_A),A))) ),[0],$fot(times(skolemFOFtoCNF_A,times(B,times(X_14,A))))]]) ).
cnf(refute_0_358,plain,
( times(skolemFOFtoCNF_A,times(times(A,B),X_14)) != times(B,times(times(X_14,skolemFOFtoCNF_A),A))
| times(skolemFOFtoCNF_A,times(B,times(X_14,A))) = times(B,times(times(X_14,skolemFOFtoCNF_A),A)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(times(A,B),X_14)),times(skolemFOFtoCNF_A,times(B,times(X_14,A)))) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
times(times(X_14,skolemFOFtoCNF_A),A) = times(skolemFOFtoCNF_A,times(A,X_14)),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_14)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(A))]]) ).
cnf(refute_0_360,plain,
times(B,times(times(X_14,skolemFOFtoCNF_A),A)) = times(B,times(times(X_14,skolemFOFtoCNF_A),A)),
introduced(tautology,[refl,[$fot(times(B,times(times(X_14,skolemFOFtoCNF_A),A)))]]) ).
cnf(refute_0_361,plain,
( times(B,times(times(X_14,skolemFOFtoCNF_A),A)) != times(B,times(times(X_14,skolemFOFtoCNF_A),A))
| times(times(X_14,skolemFOFtoCNF_A),A) != times(skolemFOFtoCNF_A,times(A,X_14))
| times(B,times(times(X_14,skolemFOFtoCNF_A),A)) = times(B,times(skolemFOFtoCNF_A,times(A,X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(times(B,times(times(X_14,skolemFOFtoCNF_A),A)),times(B,times(times(X_14,skolemFOFtoCNF_A),A))) ),[1,1],$fot(times(skolemFOFtoCNF_A,times(A,X_14)))]]) ).
cnf(refute_0_362,plain,
( times(times(X_14,skolemFOFtoCNF_A),A) != times(skolemFOFtoCNF_A,times(A,X_14))
| times(B,times(times(X_14,skolemFOFtoCNF_A),A)) = times(B,times(skolemFOFtoCNF_A,times(A,X_14))) ),
inference(resolve,[$cnf( $equal(times(B,times(times(X_14,skolemFOFtoCNF_A),A)),times(B,times(times(X_14,skolemFOFtoCNF_A),A))) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
times(B,times(times(X_14,skolemFOFtoCNF_A),A)) = times(B,times(skolemFOFtoCNF_A,times(A,X_14))),
inference(resolve,[$cnf( $equal(times(times(X_14,skolemFOFtoCNF_A),A),times(skolemFOFtoCNF_A,times(A,X_14))) )],[refute_0_359,refute_0_362]) ).
cnf(refute_0_364,plain,
( times(B,times(times(X_14,skolemFOFtoCNF_A),A)) != times(B,times(skolemFOFtoCNF_A,times(A,X_14)))
| times(skolemFOFtoCNF_A,times(B,times(X_14,A))) != times(B,times(times(X_14,skolemFOFtoCNF_A),A))
| times(skolemFOFtoCNF_A,times(B,times(X_14,A))) = times(B,times(skolemFOFtoCNF_A,times(A,X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_A,times(B,times(X_14,A))),times(B,times(times(X_14,skolemFOFtoCNF_A),A))) ),[1],$fot(times(B,times(skolemFOFtoCNF_A,times(A,X_14))))]]) ).
cnf(refute_0_365,plain,
( times(skolemFOFtoCNF_A,times(B,times(X_14,A))) != times(B,times(times(X_14,skolemFOFtoCNF_A),A))
| times(skolemFOFtoCNF_A,times(B,times(X_14,A))) = times(B,times(skolemFOFtoCNF_A,times(A,X_14))) ),
inference(resolve,[$cnf( $equal(times(B,times(times(X_14,skolemFOFtoCNF_A),A)),times(B,times(skolemFOFtoCNF_A,times(A,X_14)))) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
( times(skolemFOFtoCNF_A,times(times(A,B),X_14)) != times(B,times(times(X_14,skolemFOFtoCNF_A),A))
| times(skolemFOFtoCNF_A,times(B,times(X_14,A))) = times(B,times(skolemFOFtoCNF_A,times(A,X_14))) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(B,times(X_14,A))),times(B,times(times(X_14,skolemFOFtoCNF_A),A))) )],[refute_0_358,refute_0_365]) ).
cnf(refute_0_367,plain,
times(skolemFOFtoCNF_A,times(B,times(X_14,A))) = times(B,times(skolemFOFtoCNF_A,times(A,X_14))),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(times(A,B),X_14)),times(B,times(times(X_14,skolemFOFtoCNF_A),A))) )],[refute_0_351,refute_0_366]) ).
cnf(refute_0_368,plain,
( times(skolemFOFtoCNF_A,times(B,times(X_14,A))) != times(B,times(skolemFOFtoCNF_A,times(A,X_14)))
| times(B,times(skolemFOFtoCNF_A,times(A,X_14))) = times(skolemFOFtoCNF_A,times(B,times(X_14,A))) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(skolemFOFtoCNF_A,times(B,times(X_14,A))))),bind(Y,$fot(times(B,times(skolemFOFtoCNF_A,times(A,X_14)))))]]) ).
cnf(refute_0_369,plain,
times(B,times(skolemFOFtoCNF_A,times(A,X_14))) = times(skolemFOFtoCNF_A,times(B,times(X_14,A))),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(B,times(X_14,A))),times(B,times(skolemFOFtoCNF_A,times(A,X_14)))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(X_5,skolemFOFtoCNF_B))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,X_5))),
inference(subst,[],[refute_0_369:[bind(A,$fot(X_5)),bind(B,$fot(skolemFOFtoCNF_B)),bind(X_14,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_371,plain,
times(skolemFOFtoCNF_B,times(times(X_5,skolemFOFtoCNF_B),skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(X_5,skolemFOFtoCNF_B))),
inference(subst,[],[refute_0_251:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(times(X_5,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_372,plain,
( times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(X_5,skolemFOFtoCNF_B))) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,X_5)))
| times(skolemFOFtoCNF_B,times(times(X_5,skolemFOFtoCNF_B),skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(X_5,skolemFOFtoCNF_B)))
| times(skolemFOFtoCNF_B,times(times(X_5,skolemFOFtoCNF_B),skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,X_5))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(skolemFOFtoCNF_B,times(times(X_5,skolemFOFtoCNF_B),skolemFOFtoCNF_A)))),bind(Y,$fot(times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(X_5,skolemFOFtoCNF_B))))),bind(Z,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,X_5)))))]]) ).
cnf(refute_0_373,plain,
( times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(X_5,skolemFOFtoCNF_B))) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,X_5)))
| times(skolemFOFtoCNF_B,times(times(X_5,skolemFOFtoCNF_B),skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,X_5))) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(times(X_5,skolemFOFtoCNF_B),skolemFOFtoCNF_A)),times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(X_5,skolemFOFtoCNF_B)))) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
times(skolemFOFtoCNF_B,times(times(X_5,skolemFOFtoCNF_B),skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,X_5))),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(X_5,skolemFOFtoCNF_B))),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,X_5)))) )],[refute_0_370,refute_0_373]) ).
cnf(refute_0_375,plain,
( times(skolemFOFtoCNF_B,times(times(X_5,skolemFOFtoCNF_B),skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,X_5)))
| times(skolemFOFtoCNF_B,times(times(X_5,skolemFOFtoCNF_B),skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),X_5))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,X_5))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_B,times(times(X_5,skolemFOFtoCNF_B),skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),X_5))) ),[0],$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,X_5))))]]) ).
cnf(refute_0_376,plain,
( times(skolemFOFtoCNF_B,times(times(X_5,skolemFOFtoCNF_B),skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),X_5))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,X_5))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),X_5)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(times(X_5,skolemFOFtoCNF_B),skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,X_5)))) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,X_5))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),X_5)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(times(X_5,skolemFOFtoCNF_B),skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),X_5))) )],[refute_0_346,refute_0_376]) ).
cnf(refute_0_378,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))),
inference(subst,[],[refute_0_377:[bind(X_5,$fot(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_379,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) != times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))),bind(Y,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))),bind(Z,$fot(times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))))]]) ).
cnf(refute_0_380,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) != times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_C(skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))),times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) )],[refute_0_340,refute_0_380]) ).
cnf(refute_0_382,plain,
times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),
inference(subst,[],[refute_0_195:[bind(C,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A))),bind(X_9,$fot(C))]]) ).
cnf(refute_0_383,plain,
( times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A)))),bind(Y,$fot(times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))))]]) ).
cnf(refute_0_384,plain,
times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A)),
inference(resolve,[$cnf( $equal(times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
( times(skolemFOFtoCNF_A,C) != times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) != times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,C) = times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(times(skolemFOFtoCNF_A,C),times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A))) ),[0],$fot(times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))))]]) ).
cnf(refute_0_386,plain,
( times(skolemFOFtoCNF_A,C) != times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_A,C) = times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
times(skolemFOFtoCNF_A,C) = times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,C),times(skolemFOFtoCNF_A,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) )],[refute_0_80,refute_0_386]) ).
cnf(refute_0_388,plain,
times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),
introduced(tautology,[refl,[$fot(times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A))))]]) ).
cnf(refute_0_389,plain,
( times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) != times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) != skolemFOFtoCNF_A
| times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(C,skolemFOFtoCNF_A) ),
introduced(tautology,[equality,[$cnf( $equal(times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) ),[1,1],$fot(skolemFOFtoCNF_A)]]) ).
cnf(refute_0_390,plain,
( times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) != skolemFOFtoCNF_A
| times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(C,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( $equal(times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) = times(C,skolemFOFtoCNF_A),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),skolemFOFtoCNF_A) )],[refute_0_33,refute_0_390]) ).
cnf(refute_0_392,plain,
( times(B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) != times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C))
| times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C)) = times(B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))))),bind(Y,$fot(times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C))))]]) ).
cnf(refute_0_393,plain,
times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C)) = times(B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),
inference(resolve,[$cnf( $equal(times(B,times(C,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),times(B,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),C))) )],[refute_0_294,refute_0_392]) ).
cnf(refute_0_394,plain,
times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A)) = times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),
inference(subst,[],[refute_0_393:[bind(B,$fot(C)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_395,plain,
( times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) != times(C,skolemFOFtoCNF_A)
| times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A)) != times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A)) = times(C,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A)))),bind(Y,$fot(times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A))))),bind(Z,$fot(times(C,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_396,plain,
( times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) != times(C,skolemFOFtoCNF_A)
| times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A)) = times(C,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( $equal(times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A)),times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A)) = times(C,skolemFOFtoCNF_A),
inference(resolve,[$cnf( $equal(times(C,times(skolemFOFtoCNF_A,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),times(C,skolemFOFtoCNF_A)) )],[refute_0_391,refute_0_396]) ).
cnf(refute_0_398,plain,
( times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A)) != times(C,skolemFOFtoCNF_A)
| times(skolemFOFtoCNF_A,C) != times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,C) = times(C,skolemFOFtoCNF_A) ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_A,C),times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A))) ),[1],$fot(times(C,skolemFOFtoCNF_A))]]) ).
cnf(refute_0_399,plain,
( times(skolemFOFtoCNF_A,C) != times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,C) = times(C,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( $equal(times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A)),times(C,skolemFOFtoCNF_A)) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
times(skolemFOFtoCNF_A,C) = times(C,skolemFOFtoCNF_A),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,C),times(C,times(skolemFOFtoCNF_C(skolemFOFtoCNF_A),skolemFOFtoCNF_A))) )],[refute_0_387,refute_0_399]) ).
cnf(refute_0_401,plain,
( times(skolemFOFtoCNF_A,C) != times(C,skolemFOFtoCNF_A)
| times(C,skolemFOFtoCNF_A) = times(skolemFOFtoCNF_A,C) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(skolemFOFtoCNF_A,C))),bind(Y,$fot(times(C,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_402,plain,
times(C,skolemFOFtoCNF_A) = times(skolemFOFtoCNF_A,C),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,C),times(C,skolemFOFtoCNF_A)) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
( times(C,skolemFOFtoCNF_A) != times(skolemFOFtoCNF_A,C)
| times(X_9,times(C,skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(X_9,C))
| times(X_9,times(skolemFOFtoCNF_A,C)) = times(skolemFOFtoCNF_A,times(X_9,C)) ),
introduced(tautology,[equality,[$cnf( $equal(times(X_9,times(C,skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(X_9,C))) ),[0,1],$fot(times(skolemFOFtoCNF_A,C))]]) ).
cnf(refute_0_404,plain,
( times(X_9,times(C,skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(X_9,C))
| times(X_9,times(skolemFOFtoCNF_A,C)) = times(skolemFOFtoCNF_A,times(X_9,C)) ),
inference(resolve,[$cnf( $equal(times(C,skolemFOFtoCNF_A),times(skolemFOFtoCNF_A,C)) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
times(X_9,times(skolemFOFtoCNF_A,C)) = times(skolemFOFtoCNF_A,times(X_9,C)),
inference(resolve,[$cnf( $equal(times(X_9,times(C,skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(X_9,C))) )],[refute_0_195,refute_0_404]) ).
cnf(refute_0_406,plain,
times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))),
inference(subst,[],[refute_0_405:[bind(C,$fot(times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))),bind(X_9,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_407,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) != times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))
| times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))),bind(Y,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))),bind(Z,$fot(times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))))]]) ).
cnf(refute_0_408,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) != times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))),times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) )],[refute_0_381,refute_0_408]) ).
cnf(refute_0_410,plain,
times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) = times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))),
inference(subst,[],[refute_0_336:[bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_411,plain,
( times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) != times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) != times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))
| times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) = times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))),bind(Y,$fot(times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))),bind(Z,$fot(times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))))]]) ).
cnf(refute_0_412,plain,
( times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) != times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) = times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))),times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) = times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))),times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) )],[refute_0_409,refute_0_412]) ).
cnf(refute_0_414,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))),
introduced(tautology,[refl,[$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))]]) ).
cnf(refute_0_415,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))
| times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) != times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) ),
introduced(tautology,[equality,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))) ),[1,1],$fot(times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_416,plain,
( times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) != times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))),times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) )],[refute_0_413,refute_0_416]) ).
cnf(refute_0_418,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) != times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_A,skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))),bind(Y,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))))),bind(Z,$fot(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_419,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))) != times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_A,skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A)))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,skolemFOFtoCNF_C(skolemFOFtoCNF_A))),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) )],[refute_0_267,refute_0_419]) ).
cnf(refute_0_421,plain,
times(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,X_17)),C) = times(times(skolemFOFtoCNF_B,X_17),times(C,skolemFOFtoCNF_A)),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(times(skolemFOFtoCNF_B,X_17)))]]) ).
cnf(refute_0_422,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,X_17)) = times(X_17,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_258:[bind(X_14,$fot(X_17))]]) ).
cnf(refute_0_423,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,X_17)) != times(X_17,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))
| times(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,X_17)),C) != times(times(skolemFOFtoCNF_B,X_17),times(C,skolemFOFtoCNF_A))
| times(times(X_17,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),C) = times(times(skolemFOFtoCNF_B,X_17),times(C,skolemFOFtoCNF_A)) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,X_17)),C),times(times(skolemFOFtoCNF_B,X_17),times(C,skolemFOFtoCNF_A))) ),[0,0],$fot(times(X_17,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_424,plain,
( times(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,X_17)),C) != times(times(skolemFOFtoCNF_B,X_17),times(C,skolemFOFtoCNF_A))
| times(times(X_17,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),C) = times(times(skolemFOFtoCNF_B,X_17),times(C,skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,X_17)),times(X_17,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
times(times(X_17,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),C) = times(times(skolemFOFtoCNF_B,X_17),times(C,skolemFOFtoCNF_A)),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,X_17)),C),times(times(skolemFOFtoCNF_B,X_17),times(C,skolemFOFtoCNF_A))) )],[refute_0_421,refute_0_424]) ).
cnf(refute_0_426,plain,
times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(C,X_17))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))),
inference(subst,[],[refute_0_405:[bind(C,$fot(times(C,X_17))),bind(X_9,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_427,plain,
times(times(skolemFOFtoCNF_A,B),C) = times(B,times(C,skolemFOFtoCNF_A)),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_428,plain,
( times(C,skolemFOFtoCNF_A) != times(skolemFOFtoCNF_A,C)
| times(times(skolemFOFtoCNF_A,B),C) != times(B,times(C,skolemFOFtoCNF_A))
| times(times(skolemFOFtoCNF_A,B),C) = times(B,times(skolemFOFtoCNF_A,C)) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(skolemFOFtoCNF_A,B),C),times(B,times(C,skolemFOFtoCNF_A))) ),[1,1],$fot(times(skolemFOFtoCNF_A,C))]]) ).
cnf(refute_0_429,plain,
( times(times(skolemFOFtoCNF_A,B),C) != times(B,times(C,skolemFOFtoCNF_A))
| times(times(skolemFOFtoCNF_A,B),C) = times(B,times(skolemFOFtoCNF_A,C)) ),
inference(resolve,[$cnf( $equal(times(C,skolemFOFtoCNF_A),times(skolemFOFtoCNF_A,C)) )],[refute_0_402,refute_0_428]) ).
cnf(refute_0_430,plain,
times(times(skolemFOFtoCNF_A,B),C) = times(B,times(skolemFOFtoCNF_A,C)),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_A,B),C),times(B,times(C,skolemFOFtoCNF_A))) )],[refute_0_427,refute_0_429]) ).
cnf(refute_0_431,plain,
( times(times(skolemFOFtoCNF_A,B),C) != times(B,times(C,skolemFOFtoCNF_A))
| times(times(skolemFOFtoCNF_A,B),C) != times(B,times(skolemFOFtoCNF_A,C))
| times(B,times(C,skolemFOFtoCNF_A)) = times(B,times(skolemFOFtoCNF_A,C)) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(skolemFOFtoCNF_A,B),C),times(B,times(skolemFOFtoCNF_A,C))) ),[0],$fot(times(B,times(C,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_432,plain,
( times(times(skolemFOFtoCNF_A,B),C) != times(B,times(skolemFOFtoCNF_A,C))
| times(B,times(C,skolemFOFtoCNF_A)) = times(B,times(skolemFOFtoCNF_A,C)) ),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_A,B),C),times(B,times(C,skolemFOFtoCNF_A))) )],[refute_0_427,refute_0_431]) ).
cnf(refute_0_433,plain,
times(B,times(C,skolemFOFtoCNF_A)) = times(B,times(skolemFOFtoCNF_A,C)),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_A,B),C),times(B,times(skolemFOFtoCNF_A,C))) )],[refute_0_430,refute_0_432]) ).
cnf(refute_0_434,plain,
times(skolemFOFtoCNF_B,times(times(C,X_17),skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(C,X_17))),
inference(subst,[],[refute_0_433:[bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(times(C,X_17)))]]) ).
cnf(refute_0_435,plain,
( times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(C,X_17))) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17)))
| times(skolemFOFtoCNF_B,times(times(C,X_17),skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(C,X_17)))
| times(skolemFOFtoCNF_B,times(times(C,X_17),skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(skolemFOFtoCNF_B,times(times(C,X_17),skolemFOFtoCNF_A)))),bind(Y,$fot(times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(C,X_17))))),bind(Z,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17)))))]]) ).
cnf(refute_0_436,plain,
( times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(C,X_17))) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17)))
| times(skolemFOFtoCNF_B,times(times(C,X_17),skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(times(C,X_17),skolemFOFtoCNF_A)),times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(C,X_17)))) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
times(skolemFOFtoCNF_B,times(times(C,X_17),skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,times(C,X_17))),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17)))) )],[refute_0_426,refute_0_436]) ).
cnf(refute_0_438,plain,
times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(C,X_17)) = times(skolemFOFtoCNF_B,times(times(C,X_17),skolemFOFtoCNF_A)),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(times(C,X_17)))]]) ).
cnf(refute_0_439,plain,
( times(skolemFOFtoCNF_B,times(times(C,X_17),skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17)))
| times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(C,X_17)) != times(skolemFOFtoCNF_B,times(times(C,X_17),skolemFOFtoCNF_A))
| times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(C,X_17)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(C,X_17)))),bind(Y,$fot(times(skolemFOFtoCNF_B,times(times(C,X_17),skolemFOFtoCNF_A)))),bind(Z,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17)))))]]) ).
cnf(refute_0_440,plain,
( times(skolemFOFtoCNF_B,times(times(C,X_17),skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17)))
| times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(C,X_17)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))) ),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(C,X_17)),times(skolemFOFtoCNF_B,times(times(C,X_17),skolemFOFtoCNF_A))) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(C,X_17)) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_B,times(times(C,X_17),skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17)))) )],[refute_0_437,refute_0_440]) ).
cnf(refute_0_442,plain,
times(times(X_17,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),C) = times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(C,X_17)),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_17)),bind(B,$fot(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_443,plain,
( times(times(X_17,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),C) != times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(C,X_17))
| times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(C,X_17)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17)))
| times(times(X_17,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),C) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(times(X_17,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),C))),bind(Y,$fot(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(C,X_17)))),bind(Z,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17)))))]]) ).
cnf(refute_0_444,plain,
( times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(C,X_17)) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17)))
| times(times(X_17,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),C) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))) ),
inference(resolve,[$cnf( $equal(times(times(X_17,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),C),times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(C,X_17))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
times(times(X_17,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),C) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(C,X_17)),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17)))) )],[refute_0_441,refute_0_444]) ).
cnf(refute_0_446,plain,
( times(times(X_17,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),C) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17)))
| times(times(X_17,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),C) != times(times(skolemFOFtoCNF_B,X_17),times(C,skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))) = times(times(skolemFOFtoCNF_B,X_17),times(C,skolemFOFtoCNF_A)) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(X_17,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),C),times(times(skolemFOFtoCNF_B,X_17),times(C,skolemFOFtoCNF_A))) ),[0],$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))))]]) ).
cnf(refute_0_447,plain,
( times(times(X_17,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),C) != times(times(skolemFOFtoCNF_B,X_17),times(C,skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))) = times(times(skolemFOFtoCNF_B,X_17),times(C,skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( $equal(times(times(X_17,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),C),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17)))) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
times(skolemFOFtoCNF_A,A) = times(A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_400:[bind(C,$fot(A))]]) ).
cnf(refute_0_449,plain,
( times(skolemFOFtoCNF_A,A) != times(A,skolemFOFtoCNF_A)
| times(times(A,B),skolemFOFtoCNF_A) != times(B,times(skolemFOFtoCNF_A,A))
| times(times(A,B),skolemFOFtoCNF_A) = times(B,times(A,skolemFOFtoCNF_A)) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(A,B),skolemFOFtoCNF_A),times(B,times(skolemFOFtoCNF_A,A))) ),[1,1],$fot(times(A,skolemFOFtoCNF_A))]]) ).
cnf(refute_0_450,plain,
( times(times(A,B),skolemFOFtoCNF_A) != times(B,times(skolemFOFtoCNF_A,A))
| times(times(A,B),skolemFOFtoCNF_A) = times(B,times(A,skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,A),times(A,skolemFOFtoCNF_A)) )],[refute_0_448,refute_0_449]) ).
cnf(refute_0_451,plain,
times(times(A,B),skolemFOFtoCNF_A) = times(B,times(A,skolemFOFtoCNF_A)),
inference(resolve,[$cnf( $equal(times(times(A,B),skolemFOFtoCNF_A),times(B,times(skolemFOFtoCNF_A,A))) )],[refute_0_135,refute_0_450]) ).
cnf(refute_0_452,plain,
times(times(A,B),skolemFOFtoCNF_A) = times(skolemFOFtoCNF_A,times(A,B)),
inference(subst,[],[refute_0_402:[bind(C,$fot(times(A,B)))]]) ).
cnf(refute_0_453,plain,
( times(times(A,B),skolemFOFtoCNF_A) != times(B,times(A,skolemFOFtoCNF_A))
| times(times(A,B),skolemFOFtoCNF_A) != times(skolemFOFtoCNF_A,times(A,B))
| times(skolemFOFtoCNF_A,times(A,B)) = times(B,times(A,skolemFOFtoCNF_A)) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(A,B),skolemFOFtoCNF_A),times(B,times(A,skolemFOFtoCNF_A))) ),[0],$fot(times(skolemFOFtoCNF_A,times(A,B)))]]) ).
cnf(refute_0_454,plain,
( times(times(A,B),skolemFOFtoCNF_A) != times(B,times(A,skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,times(A,B)) = times(B,times(A,skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( $equal(times(times(A,B),skolemFOFtoCNF_A),times(skolemFOFtoCNF_A,times(A,B))) )],[refute_0_452,refute_0_453]) ).
cnf(refute_0_455,plain,
times(skolemFOFtoCNF_A,times(A,B)) = times(B,times(A,skolemFOFtoCNF_A)),
inference(resolve,[$cnf( $equal(times(times(A,B),skolemFOFtoCNF_A),times(B,times(A,skolemFOFtoCNF_A))) )],[refute_0_451,refute_0_454]) ).
cnf(refute_0_456,plain,
( times(skolemFOFtoCNF_A,times(A,B)) != times(B,times(A,skolemFOFtoCNF_A))
| times(B,times(A,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(A,B)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(skolemFOFtoCNF_A,times(A,B)))),bind(Y,$fot(times(B,times(A,skolemFOFtoCNF_A))))]]) ).
cnf(refute_0_457,plain,
times(B,times(A,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(A,B)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(A,B)),times(B,times(A,skolemFOFtoCNF_A))) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
times(times(skolemFOFtoCNF_B,X_17),times(C,skolemFOFtoCNF_A)) = times(skolemFOFtoCNF_A,times(C,times(skolemFOFtoCNF_B,X_17))),
inference(subst,[],[refute_0_457:[bind(A,$fot(C)),bind(B,$fot(times(skolemFOFtoCNF_B,X_17)))]]) ).
cnf(refute_0_459,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))) != times(times(skolemFOFtoCNF_B,X_17),times(C,skolemFOFtoCNF_A))
| times(times(skolemFOFtoCNF_B,X_17),times(C,skolemFOFtoCNF_A)) != times(skolemFOFtoCNF_A,times(C,times(skolemFOFtoCNF_B,X_17)))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))) = times(skolemFOFtoCNF_A,times(C,times(skolemFOFtoCNF_B,X_17))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))),times(skolemFOFtoCNF_A,times(C,times(skolemFOFtoCNF_B,X_17)))) ),[0],$fot(times(times(skolemFOFtoCNF_B,X_17),times(C,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_460,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))) != times(times(skolemFOFtoCNF_B,X_17),times(C,skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))) = times(skolemFOFtoCNF_A,times(C,times(skolemFOFtoCNF_B,X_17))) ),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_B,X_17),times(C,skolemFOFtoCNF_A)),times(skolemFOFtoCNF_A,times(C,times(skolemFOFtoCNF_B,X_17)))) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
( times(times(X_17,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),C) != times(times(skolemFOFtoCNF_B,X_17),times(C,skolemFOFtoCNF_A))
| times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))) = times(skolemFOFtoCNF_A,times(C,times(skolemFOFtoCNF_B,X_17))) ),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))),times(times(skolemFOFtoCNF_B,X_17),times(C,skolemFOFtoCNF_A))) )],[refute_0_447,refute_0_460]) ).
cnf(refute_0_462,plain,
times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))) = times(skolemFOFtoCNF_A,times(C,times(skolemFOFtoCNF_B,X_17))),
inference(resolve,[$cnf( $equal(times(times(X_17,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),C),times(times(skolemFOFtoCNF_B,X_17),times(C,skolemFOFtoCNF_A))) )],[refute_0_425,refute_0_461]) ).
cnf(refute_0_463,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))) != times(skolemFOFtoCNF_A,times(C,times(skolemFOFtoCNF_B,X_17)))
| times(skolemFOFtoCNF_A,times(C,times(skolemFOFtoCNF_B,X_17))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))))),bind(Y,$fot(times(skolemFOFtoCNF_A,times(C,times(skolemFOFtoCNF_B,X_17)))))]]) ).
cnf(refute_0_464,plain,
times(skolemFOFtoCNF_A,times(C,times(skolemFOFtoCNF_B,X_17))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(C,X_17))),times(skolemFOFtoCNF_A,times(C,times(skolemFOFtoCNF_B,X_17)))) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
times(skolemFOFtoCNF_A,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))),
inference(subst,[],[refute_0_464:[bind(C,$fot(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))),bind(X_17,$fot(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_466,plain,
times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_A,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))),
inference(subst,[],[refute_0_405:[bind(C,$fot(times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))),bind(X_9,$fot(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_467,plain,
( times(skolemFOFtoCNF_A,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))
| times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) != times(skolemFOFtoCNF_A,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))
| times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))),bind(Y,$fot(times(skolemFOFtoCNF_A,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))),bind(Z,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))))]]) ).
cnf(refute_0_468,plain,
( times(skolemFOFtoCNF_A,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))
| times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) ),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))),times(skolemFOFtoCNF_A,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))) )],[refute_0_465,refute_0_468]) ).
cnf(refute_0_470,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) != times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) != times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))
| times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_A,skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))),bind(Y,$fot(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))),bind(Z,$fot(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_471,plain,
( times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) != times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_A,skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) )],[refute_0_420,refute_0_471]) ).
cnf(refute_0_473,plain,
( times(skolemFOFtoCNF_A,skolemFOFtoCNF_B) != times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) != times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_A,skolemFOFtoCNF_B) ),
introduced(tautology,[equality,[$cnf( $equal(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) ),[0,0],$fot(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))]]) ).
cnf(refute_0_474,plain,
( times(skolemFOFtoCNF_A,skolemFOFtoCNF_B) != times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))) = times(skolemFOFtoCNF_A,skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
( times(skolemFOFtoCNF_A,skolemFOFtoCNF_B) != times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| element(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(times(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,times(skolemFOFtoCNF_B,times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) )],[refute_0_474,refute_0_264]) ).
cnf(refute_0_476,plain,
times(skolemFOFtoCNF_A,skolemFOFtoCNF_B) = times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),
introduced(tautology,[refl,[$fot(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B))]]) ).
cnf(refute_0_477,plain,
element(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),
inference(resolve,[$cnf( $equal(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B),times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) )],[refute_0_476,refute_0_475]) ).
cnf(refute_0_478,plain,
~ element(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_479,plain,
$false,
inference(resolve,[$cnf( element(times(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) )],[refute_0_477,refute_0_478]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ALG210+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.10 % Command : metis --show proof --show saturation %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Wed Jun 8 17:09:52 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.10/0.30 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35
% 0.14/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.14/0.41
%------------------------------------------------------------------------------