TSTP Solution File: ALG007-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG007-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 17:30:33 EDT 2022
% Result : Unsatisfiable 14.64s 14.85s
% Output : CNFRefutation 14.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 86
% Number of leaves : 131
% Syntax : Number of clauses : 593 ( 305 unt; 0 nHn; 282 RR)
% Number of literals : 1004 (1003 equ; 413 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 1738 ( 68 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(set_difference_1,axiom,
difference(X,difference(Y,X)) = X ).
cnf(set_difference_2,axiom,
difference(X,difference(X,Y)) = difference(Y,difference(Y,X)) ).
cnf(set_difference_3_simplified,axiom,
difference(difference(X,Y),Z) = difference(difference(X,Z),Y) ).
cnf(prove_set_difference_3,negated_conjecture,
difference(difference(a,b),c) != difference(difference(a,c),difference(b,c)) ).
cnf(refute_0_0,plain,
difference(X,difference(X,difference(X_6,X_7))) = difference(difference(X_6,X_7),difference(difference(X_6,X_7),X)),
inference(subst,[],[set_difference_2:[bind(Y,$fot(difference(X_6,X_7)))]]) ).
cnf(refute_0_1,plain,
difference(difference(X_6,X_7),X) = difference(difference(X_6,X),X_7),
inference(subst,[],[set_difference_3_simplified:[bind(X,$fot(X_6)),bind(Y,$fot(X_7)),bind(Z,$fot(X))]]) ).
cnf(refute_0_2,plain,
( difference(X,difference(X,difference(X_6,X_7))) != difference(difference(X_6,X_7),difference(difference(X_6,X_7),X))
| difference(difference(X_6,X_7),X) != difference(difference(X_6,X),X_7)
| difference(X,difference(X,difference(X_6,X_7))) = difference(difference(X_6,X_7),difference(difference(X_6,X),X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(X,difference(X,difference(X_6,X_7))),difference(difference(X_6,X_7),difference(difference(X_6,X_7),X))) ),[1,1],$fot(difference(difference(X_6,X),X_7))]]) ).
cnf(refute_0_3,plain,
( difference(X,difference(X,difference(X_6,X_7))) != difference(difference(X_6,X_7),difference(difference(X_6,X_7),X))
| difference(X,difference(X,difference(X_6,X_7))) = difference(difference(X_6,X_7),difference(difference(X_6,X),X_7)) ),
inference(resolve,[$cnf( $equal(difference(difference(X_6,X_7),X),difference(difference(X_6,X),X_7)) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
difference(X,difference(X,difference(X_6,X_7))) = difference(difference(X_6,X_7),difference(difference(X_6,X),X_7)),
inference(resolve,[$cnf( $equal(difference(X,difference(X,difference(X_6,X_7))),difference(difference(X_6,X_7),difference(difference(X_6,X_7),X))) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
difference(difference(X_40,X_6),difference(difference(X_40,X_6),difference(X_40,X_41))) = difference(difference(X_40,X_41),difference(difference(X_40,difference(X_40,X_6)),X_41)),
inference(subst,[],[refute_0_4:[bind(X,$fot(difference(X_40,X_6))),bind(X_6,$fot(X_40)),bind(X_7,$fot(X_41))]]) ).
cnf(refute_0_6,plain,
difference(difference(X_6,difference(X_6,X)),X_8) = difference(difference(X_6,X_8),difference(X_6,X)),
inference(subst,[],[set_difference_3_simplified:[bind(X,$fot(X_6)),bind(Y,$fot(difference(X_6,X))),bind(Z,$fot(X_8))]]) ).
cnf(refute_0_7,plain,
difference(X,difference(X,X_6)) = difference(X_6,difference(X_6,X)),
inference(subst,[],[set_difference_2:[bind(Y,$fot(X_6))]]) ).
cnf(refute_0_8,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_9,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_10,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( difference(X,difference(X,X_6)) != difference(X_6,difference(X_6,X))
| difference(X_6,difference(X_6,X)) = difference(X,difference(X,X_6)) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(X,difference(X,X_6)))),bind(Y0,$fot(difference(X_6,difference(X_6,X))))]]) ).
cnf(refute_0_12,plain,
difference(X_6,difference(X_6,X)) = difference(X,difference(X,X_6)),
inference(resolve,[$cnf( $equal(difference(X,difference(X,X_6)),difference(X_6,difference(X_6,X))) )],[refute_0_7,refute_0_11]) ).
cnf(refute_0_13,plain,
( difference(X_6,difference(X_6,X)) != difference(X,difference(X,X_6))
| difference(difference(X_6,difference(X_6,X)),X_8) != difference(difference(X_6,X_8),difference(X_6,X))
| difference(difference(X,difference(X,X_6)),X_8) = difference(difference(X_6,X_8),difference(X_6,X)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_6,difference(X_6,X)),X_8),difference(difference(X_6,X_8),difference(X_6,X))) ),[0,0],$fot(difference(X,difference(X,X_6)))]]) ).
cnf(refute_0_14,plain,
( difference(difference(X_6,difference(X_6,X)),X_8) != difference(difference(X_6,X_8),difference(X_6,X))
| difference(difference(X,difference(X,X_6)),X_8) = difference(difference(X_6,X_8),difference(X_6,X)) ),
inference(resolve,[$cnf( $equal(difference(X_6,difference(X_6,X)),difference(X,difference(X,X_6))) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
difference(difference(X,difference(X,X_6)),X_8) = difference(difference(X_6,X_8),difference(X_6,X)),
inference(resolve,[$cnf( $equal(difference(difference(X_6,difference(X_6,X)),X_8),difference(difference(X_6,X_8),difference(X_6,X))) )],[refute_0_6,refute_0_14]) ).
cnf(refute_0_16,plain,
difference(difference(X_40,difference(X_40,X_6)),X_41) = difference(difference(X_6,X_41),difference(X_6,X_40)),
inference(subst,[],[refute_0_15:[bind(X,$fot(X_40)),bind(X_8,$fot(X_41))]]) ).
cnf(refute_0_17,plain,
( difference(difference(X_40,X_6),difference(difference(X_40,X_6),difference(X_40,X_41))) != difference(difference(X_40,X_41),difference(difference(X_40,difference(X_40,X_6)),X_41))
| difference(difference(X_40,difference(X_40,X_6)),X_41) != difference(difference(X_6,X_41),difference(X_6,X_40))
| difference(difference(X_40,X_6),difference(difference(X_40,X_6),difference(X_40,X_41))) = difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_40,X_6),difference(difference(X_40,X_6),difference(X_40,X_41))),difference(difference(X_40,X_41),difference(difference(X_40,difference(X_40,X_6)),X_41))) ),[1,1],$fot(difference(difference(X_6,X_41),difference(X_6,X_40)))]]) ).
cnf(refute_0_18,plain,
( difference(difference(X_40,X_6),difference(difference(X_40,X_6),difference(X_40,X_41))) != difference(difference(X_40,X_41),difference(difference(X_40,difference(X_40,X_6)),X_41))
| difference(difference(X_40,X_6),difference(difference(X_40,X_6),difference(X_40,X_41))) = difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_40,difference(X_40,X_6)),X_41),difference(difference(X_6,X_41),difference(X_6,X_40))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
difference(difference(X_40,X_6),difference(difference(X_40,X_6),difference(X_40,X_41))) = difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40))),
inference(resolve,[$cnf( $equal(difference(difference(X_40,X_6),difference(difference(X_40,X_6),difference(X_40,X_41))),difference(difference(X_40,X_41),difference(difference(X_40,difference(X_40,X_6)),X_41))) )],[refute_0_5,refute_0_18]) ).
cnf(refute_0_20,plain,
difference(difference(X_6,difference(Y,X_6)),X_8) = difference(difference(X_6,X_8),difference(Y,X_6)),
inference(subst,[],[set_difference_3_simplified:[bind(X,$fot(X_6)),bind(Y,$fot(difference(Y,X_6))),bind(Z,$fot(X_8))]]) ).
cnf(refute_0_21,plain,
difference(X_6,difference(Y,X_6)) = X_6,
inference(subst,[],[set_difference_1:[bind(X,$fot(X_6))]]) ).
cnf(refute_0_22,plain,
( difference(X_6,difference(Y,X_6)) != X_6
| difference(difference(X_6,difference(Y,X_6)),X_8) != difference(difference(X_6,X_8),difference(Y,X_6))
| difference(X_6,X_8) = difference(difference(X_6,X_8),difference(Y,X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_6,difference(Y,X_6)),X_8),difference(difference(X_6,X_8),difference(Y,X_6))) ),[0,0],$fot(X_6)]]) ).
cnf(refute_0_23,plain,
( difference(difference(X_6,difference(Y,X_6)),X_8) != difference(difference(X_6,X_8),difference(Y,X_6))
| difference(X_6,X_8) = difference(difference(X_6,X_8),difference(Y,X_6)) ),
inference(resolve,[$cnf( $equal(difference(X_6,difference(Y,X_6)),X_6) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
difference(X_6,X_8) = difference(difference(X_6,X_8),difference(Y,X_6)),
inference(resolve,[$cnf( $equal(difference(difference(X_6,difference(Y,X_6)),X_8),difference(difference(X_6,X_8),difference(Y,X_6))) )],[refute_0_20,refute_0_23]) ).
cnf(refute_0_25,plain,
difference(X_25,difference(X_25,X)) = difference(difference(X_25,difference(X_25,X)),difference(X_24,X_25)),
inference(subst,[],[refute_0_24:[bind(Y,$fot(X_24)),bind(X_6,$fot(X_25)),bind(X_8,$fot(difference(X_25,X)))]]) ).
cnf(refute_0_26,plain,
difference(X,difference(X,X_25)) = difference(X_25,difference(X_25,X)),
inference(subst,[],[set_difference_2:[bind(Y,$fot(X_25))]]) ).
cnf(refute_0_27,plain,
( difference(X,difference(X,X_25)) != difference(X_25,difference(X_25,X))
| difference(X_25,difference(X_25,X)) = difference(X,difference(X,X_25)) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(X,difference(X,X_25)))),bind(Y0,$fot(difference(X_25,difference(X_25,X))))]]) ).
cnf(refute_0_28,plain,
difference(X_25,difference(X_25,X)) = difference(X,difference(X,X_25)),
inference(resolve,[$cnf( $equal(difference(X,difference(X,X_25)),difference(X_25,difference(X_25,X))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( difference(X_25,difference(X_25,X)) != difference(X,difference(X,X_25))
| difference(X_25,difference(X_25,X)) != difference(difference(X_25,difference(X_25,X)),difference(X_24,X_25))
| difference(X_25,difference(X_25,X)) = difference(difference(X,difference(X,X_25)),difference(X_24,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(X_25,difference(X_25,X)),difference(difference(X_25,difference(X_25,X)),difference(X_24,X_25))) ),[1,0],$fot(difference(X,difference(X,X_25)))]]) ).
cnf(refute_0_30,plain,
( difference(X_25,difference(X_25,X)) != difference(difference(X_25,difference(X_25,X)),difference(X_24,X_25))
| difference(X_25,difference(X_25,X)) = difference(difference(X,difference(X,X_25)),difference(X_24,X_25)) ),
inference(resolve,[$cnf( $equal(difference(X_25,difference(X_25,X)),difference(X,difference(X,X_25))) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
difference(X_25,difference(X_25,X)) = difference(difference(X,difference(X,X_25)),difference(X_24,X_25)),
inference(resolve,[$cnf( $equal(difference(X_25,difference(X_25,X)),difference(difference(X_25,difference(X_25,X)),difference(X_24,X_25))) )],[refute_0_25,refute_0_30]) ).
cnf(refute_0_32,plain,
difference(X_25,difference(X_25,difference(difference(X_25,X_79),X_76))) = difference(difference(difference(difference(X_25,X_79),X_76),difference(difference(difference(X_25,X_79),X_76),X_25)),difference(X_24,X_25)),
inference(subst,[],[refute_0_31:[bind(X,$fot(difference(difference(X_25,X_79),X_76)))]]) ).
cnf(refute_0_33,plain,
difference(difference(difference(X_25,X_26),Y),difference(X_24,X_25)) = difference(difference(difference(X_25,X_26),difference(X_24,X_25)),Y),
inference(subst,[],[set_difference_3_simplified:[bind(X,$fot(difference(X_25,X_26))),bind(Z,$fot(difference(X_24,X_25)))]]) ).
cnf(refute_0_34,plain,
difference(X_25,X_26) = difference(difference(X_25,X_26),difference(X_24,X_25)),
inference(subst,[],[refute_0_24:[bind(Y,$fot(X_24)),bind(X_6,$fot(X_25)),bind(X_8,$fot(X_26))]]) ).
cnf(refute_0_35,plain,
( difference(X_25,X_26) != difference(difference(X_25,X_26),difference(X_24,X_25))
| difference(difference(X_25,X_26),difference(X_24,X_25)) = difference(X_25,X_26) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(X_25,X_26))),bind(Y0,$fot(difference(difference(X_25,X_26),difference(X_24,X_25))))]]) ).
cnf(refute_0_36,plain,
difference(difference(X_25,X_26),difference(X_24,X_25)) = difference(X_25,X_26),
inference(resolve,[$cnf( $equal(difference(X_25,X_26),difference(difference(X_25,X_26),difference(X_24,X_25))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
( difference(difference(X_25,X_26),difference(X_24,X_25)) != difference(X_25,X_26)
| difference(difference(difference(X_25,X_26),Y),difference(X_24,X_25)) != difference(difference(difference(X_25,X_26),difference(X_24,X_25)),Y)
| difference(difference(difference(X_25,X_26),Y),difference(X_24,X_25)) = difference(difference(X_25,X_26),Y) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(difference(X_25,X_26),Y),difference(X_24,X_25)),difference(difference(difference(X_25,X_26),difference(X_24,X_25)),Y)) ),[1,0],$fot(difference(X_25,X_26))]]) ).
cnf(refute_0_38,plain,
( difference(difference(difference(X_25,X_26),Y),difference(X_24,X_25)) != difference(difference(difference(X_25,X_26),difference(X_24,X_25)),Y)
| difference(difference(difference(X_25,X_26),Y),difference(X_24,X_25)) = difference(difference(X_25,X_26),Y) ),
inference(resolve,[$cnf( $equal(difference(difference(X_25,X_26),difference(X_24,X_25)),difference(X_25,X_26)) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
difference(difference(difference(X_25,X_26),Y),difference(X_24,X_25)) = difference(difference(X_25,X_26),Y),
inference(resolve,[$cnf( $equal(difference(difference(difference(X_25,X_26),Y),difference(X_24,X_25)),difference(difference(difference(X_25,X_26),difference(X_24,X_25)),Y)) )],[refute_0_33,refute_0_38]) ).
cnf(refute_0_40,plain,
difference(difference(difference(X_25,X_79),X_76),difference(difference(difference(X_25,X_79),X_76),X_25)) = difference(difference(X_25,X_79),X_76),
inference(subst,[],[refute_0_39:[bind(Y,$fot(X_76)),bind(X_24,$fot(difference(difference(X_25,X_79),X_76))),bind(X_26,$fot(X_79))]]) ).
cnf(refute_0_41,plain,
( difference(X_25,difference(X_25,difference(difference(X_25,X_79),X_76))) != difference(difference(difference(difference(X_25,X_79),X_76),difference(difference(difference(X_25,X_79),X_76),X_25)),difference(X_24,X_25))
| difference(difference(difference(X_25,X_79),X_76),difference(difference(difference(X_25,X_79),X_76),X_25)) != difference(difference(X_25,X_79),X_76)
| difference(X_25,difference(X_25,difference(difference(X_25,X_79),X_76))) = difference(difference(difference(X_25,X_79),X_76),difference(X_24,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(X_25,difference(X_25,difference(difference(X_25,X_79),X_76))),difference(difference(difference(difference(X_25,X_79),X_76),difference(difference(difference(X_25,X_79),X_76),X_25)),difference(X_24,X_25))) ),[1,0],$fot(difference(difference(X_25,X_79),X_76))]]) ).
cnf(refute_0_42,plain,
( difference(X_25,difference(X_25,difference(difference(X_25,X_79),X_76))) != difference(difference(difference(difference(X_25,X_79),X_76),difference(difference(difference(X_25,X_79),X_76),X_25)),difference(X_24,X_25))
| difference(X_25,difference(X_25,difference(difference(X_25,X_79),X_76))) = difference(difference(difference(X_25,X_79),X_76),difference(X_24,X_25)) ),
inference(resolve,[$cnf( $equal(difference(difference(difference(X_25,X_79),X_76),difference(difference(difference(X_25,X_79),X_76),X_25)),difference(difference(X_25,X_79),X_76)) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
difference(X_25,difference(X_25,difference(difference(X_25,X_79),X_76))) = difference(difference(difference(X_25,X_79),X_76),difference(X_24,X_25)),
inference(resolve,[$cnf( $equal(difference(X_25,difference(X_25,difference(difference(X_25,X_79),X_76))),difference(difference(difference(difference(X_25,X_79),X_76),difference(difference(difference(X_25,X_79),X_76),X_25)),difference(X_24,X_25))) )],[refute_0_32,refute_0_42]) ).
cnf(refute_0_44,plain,
difference(difference(difference(X_25,X_79),X_76),difference(X_24,X_25)) = difference(difference(X_25,X_79),X_76),
inference(subst,[],[refute_0_39:[bind(Y,$fot(X_76)),bind(X_26,$fot(X_79))]]) ).
cnf(refute_0_45,plain,
( difference(X_25,difference(X_25,difference(difference(X_25,X_79),X_76))) != difference(difference(difference(X_25,X_79),X_76),difference(X_24,X_25))
| difference(difference(difference(X_25,X_79),X_76),difference(X_24,X_25)) != difference(difference(X_25,X_79),X_76)
| difference(X_25,difference(X_25,difference(difference(X_25,X_79),X_76))) = difference(difference(X_25,X_79),X_76) ),
introduced(tautology,[equality,[$cnf( ~ $equal(difference(X_25,difference(X_25,difference(difference(X_25,X_79),X_76))),difference(difference(X_25,X_79),X_76)) ),[0],$fot(difference(difference(difference(X_25,X_79),X_76),difference(X_24,X_25)))]]) ).
cnf(refute_0_46,plain,
( difference(X_25,difference(X_25,difference(difference(X_25,X_79),X_76))) != difference(difference(difference(X_25,X_79),X_76),difference(X_24,X_25))
| difference(X_25,difference(X_25,difference(difference(X_25,X_79),X_76))) = difference(difference(X_25,X_79),X_76) ),
inference(resolve,[$cnf( $equal(difference(difference(difference(X_25,X_79),X_76),difference(X_24,X_25)),difference(difference(X_25,X_79),X_76)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
difference(X_25,difference(X_25,difference(difference(X_25,X_79),X_76))) = difference(difference(X_25,X_79),X_76),
inference(resolve,[$cnf( $equal(difference(X_25,difference(X_25,difference(difference(X_25,X_79),X_76))),difference(difference(difference(X_25,X_79),X_76),difference(X_24,X_25))) )],[refute_0_43,refute_0_46]) ).
cnf(refute_0_48,plain,
difference(X_40,difference(X_40,difference(difference(X_40,X_6),X_41))) = difference(difference(X_40,X_6),X_41),
inference(subst,[],[refute_0_47:[bind(X_25,$fot(X_40)),bind(X_76,$fot(X_41)),bind(X_79,$fot(X_6))]]) ).
cnf(refute_0_49,plain,
difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))) = difference(difference(X_6,difference(X_6,difference(X,X_103))),difference(difference(X_6,X),difference(X_6,difference(X,X_103)))),
inference(subst,[],[refute_0_4:[bind(X_7,$fot(difference(X_6,difference(X,X_103))))]]) ).
cnf(refute_0_50,plain,
difference(difference(X,difference(X,difference(X_8,X_67))),X_8) = difference(difference(difference(X_8,X_67),X_8),difference(difference(X_8,X_67),X)),
inference(subst,[],[refute_0_15:[bind(X_6,$fot(difference(X_8,X_67)))]]) ).
cnf(refute_0_51,plain,
difference(X,difference(difference(X_6,X_7),X)) = X,
inference(subst,[],[set_difference_1:[bind(Y,$fot(difference(X_6,X_7)))]]) ).
cnf(refute_0_52,plain,
( difference(X,difference(difference(X_6,X_7),X)) != X
| difference(difference(X_6,X_7),X) != difference(difference(X_6,X),X_7)
| difference(X,difference(difference(X_6,X),X_7)) = X ),
introduced(tautology,[equality,[$cnf( $equal(difference(X,difference(difference(X_6,X_7),X)),X) ),[0,1],$fot(difference(difference(X_6,X),X_7))]]) ).
cnf(refute_0_53,plain,
( difference(X,difference(difference(X_6,X_7),X)) != X
| difference(X,difference(difference(X_6,X),X_7)) = X ),
inference(resolve,[$cnf( $equal(difference(difference(X_6,X_7),X),difference(difference(X_6,X),X_7)) )],[refute_0_1,refute_0_52]) ).
cnf(refute_0_54,plain,
difference(X,difference(difference(X_6,X),X_7)) = X,
inference(resolve,[$cnf( $equal(difference(X,difference(difference(X_6,X_7),X)),X) )],[refute_0_51,refute_0_53]) ).
cnf(refute_0_55,plain,
difference(difference(X_24,X_25),difference(difference(difference(X_25,X_26),difference(X_24,X_25)),X_7)) = difference(X_24,X_25),
inference(subst,[],[refute_0_54:[bind(X,$fot(difference(X_24,X_25))),bind(X_6,$fot(difference(X_25,X_26)))]]) ).
cnf(refute_0_56,plain,
( difference(difference(X_24,X_25),difference(difference(difference(X_25,X_26),difference(X_24,X_25)),X_7)) != difference(X_24,X_25)
| difference(difference(X_25,X_26),difference(X_24,X_25)) != difference(X_25,X_26)
| difference(difference(X_24,X_25),difference(difference(X_25,X_26),X_7)) = difference(X_24,X_25) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_24,X_25),difference(difference(difference(X_25,X_26),difference(X_24,X_25)),X_7)),difference(X_24,X_25)) ),[0,1,0],$fot(difference(X_25,X_26))]]) ).
cnf(refute_0_57,plain,
( difference(difference(X_24,X_25),difference(difference(difference(X_25,X_26),difference(X_24,X_25)),X_7)) != difference(X_24,X_25)
| difference(difference(X_24,X_25),difference(difference(X_25,X_26),X_7)) = difference(X_24,X_25) ),
inference(resolve,[$cnf( $equal(difference(difference(X_25,X_26),difference(X_24,X_25)),difference(X_25,X_26)) )],[refute_0_36,refute_0_56]) ).
cnf(refute_0_58,plain,
difference(difference(X_24,X_25),difference(difference(X_25,X_26),X_7)) = difference(X_24,X_25),
inference(resolve,[$cnf( $equal(difference(difference(X_24,X_25),difference(difference(difference(X_25,X_26),difference(X_24,X_25)),X_7)),difference(X_24,X_25)) )],[refute_0_55,refute_0_57]) ).
cnf(refute_0_59,plain,
difference(difference(difference(X_8,X_67),X_8),difference(difference(X_8,X_67),X)) = difference(difference(X_8,X_67),X_8),
inference(subst,[],[refute_0_58:[bind(X_24,$fot(difference(X_8,X_67))),bind(X_25,$fot(X_8)),bind(X_26,$fot(X_67)),bind(X_7,$fot(X))]]) ).
cnf(refute_0_60,plain,
( difference(difference(X,difference(X,difference(X_8,X_67))),X_8) != difference(difference(difference(X_8,X_67),X_8),difference(difference(X_8,X_67),X))
| difference(difference(difference(X_8,X_67),X_8),difference(difference(X_8,X_67),X)) != difference(difference(X_8,X_67),X_8)
| difference(difference(X,difference(X,difference(X_8,X_67))),X_8) = difference(difference(X_8,X_67),X_8) ),
introduced(tautology,[equality,[$cnf( ~ $equal(difference(difference(X,difference(X,difference(X_8,X_67))),X_8),difference(difference(X_8,X_67),X_8)) ),[0],$fot(difference(difference(difference(X_8,X_67),X_8),difference(difference(X_8,X_67),X)))]]) ).
cnf(refute_0_61,plain,
( difference(difference(X,difference(X,difference(X_8,X_67))),X_8) != difference(difference(difference(X_8,X_67),X_8),difference(difference(X_8,X_67),X))
| difference(difference(X,difference(X,difference(X_8,X_67))),X_8) = difference(difference(X_8,X_67),X_8) ),
inference(resolve,[$cnf( $equal(difference(difference(difference(X_8,X_67),X_8),difference(difference(X_8,X_67),X)),difference(difference(X_8,X_67),X_8)) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
difference(difference(X,difference(X,difference(X_8,X_67))),X_8) = difference(difference(X_8,X_67),X_8),
inference(resolve,[$cnf( $equal(difference(difference(X,difference(X,difference(X_8,X_67))),X_8),difference(difference(difference(X_8,X_67),X_8),difference(difference(X_8,X_67),X))) )],[refute_0_50,refute_0_61]) ).
cnf(refute_0_63,plain,
difference(difference(X,X_14),Z) = difference(difference(X,Z),X_14),
inference(subst,[],[set_difference_3_simplified:[bind(Y,$fot(X_14))]]) ).
cnf(refute_0_64,plain,
( difference(difference(X,X_14),Z) != difference(difference(X,Z),X_14)
| difference(difference(X,Z),X_14) = difference(difference(X,X_14),Z) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(difference(X,X_14),Z))),bind(Y0,$fot(difference(difference(X,Z),X_14)))]]) ).
cnf(refute_0_65,plain,
difference(difference(X,Z),X_14) = difference(difference(X,X_14),Z),
inference(resolve,[$cnf( $equal(difference(difference(X,X_14),Z),difference(difference(X,Z),X_14)) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
difference(difference(X,difference(X,difference(X_8,X_67))),X_8) = difference(difference(X,X_8),difference(X,difference(X_8,X_67))),
inference(subst,[],[refute_0_65:[bind(Z,$fot(difference(X,difference(X_8,X_67)))),bind(X_14,$fot(X_8))]]) ).
cnf(refute_0_67,plain,
( difference(difference(X,difference(X,difference(X_8,X_67))),X_8) != difference(difference(X,X_8),difference(X,difference(X_8,X_67)))
| difference(difference(X,difference(X,difference(X_8,X_67))),X_8) != difference(difference(X_8,X_67),X_8)
| difference(difference(X,X_8),difference(X,difference(X_8,X_67))) = difference(difference(X_8,X_67),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X,difference(X,difference(X_8,X_67))),X_8),difference(difference(X_8,X_67),X_8)) ),[0],$fot(difference(difference(X,X_8),difference(X,difference(X_8,X_67))))]]) ).
cnf(refute_0_68,plain,
( difference(difference(X,difference(X,difference(X_8,X_67))),X_8) != difference(difference(X_8,X_67),X_8)
| difference(difference(X,X_8),difference(X,difference(X_8,X_67))) = difference(difference(X_8,X_67),X_8) ),
inference(resolve,[$cnf( $equal(difference(difference(X,difference(X,difference(X_8,X_67))),X_8),difference(difference(X,X_8),difference(X,difference(X_8,X_67)))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
difference(difference(Y,X_5),difference(difference(Y,X_5),Y)) = difference(Y,difference(Y,difference(Y,X_5))),
inference(subst,[],[set_difference_2:[bind(X,$fot(difference(Y,X_5)))]]) ).
cnf(refute_0_70,plain,
difference(Y,difference(Y,X_5)) = difference(X_5,difference(X_5,Y)),
inference(subst,[],[set_difference_2:[bind(X,$fot(Y)),bind(Y,$fot(X_5))]]) ).
cnf(refute_0_71,plain,
( difference(Y,difference(Y,X_5)) != difference(X_5,difference(X_5,Y))
| difference(difference(Y,X_5),difference(difference(Y,X_5),Y)) != difference(Y,difference(Y,difference(Y,X_5)))
| difference(difference(Y,X_5),difference(difference(Y,X_5),Y)) = difference(Y,difference(X_5,difference(X_5,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(Y,X_5),difference(difference(Y,X_5),Y)),difference(Y,difference(Y,difference(Y,X_5)))) ),[1,1],$fot(difference(X_5,difference(X_5,Y)))]]) ).
cnf(refute_0_72,plain,
( difference(difference(Y,X_5),difference(difference(Y,X_5),Y)) != difference(Y,difference(Y,difference(Y,X_5)))
| difference(difference(Y,X_5),difference(difference(Y,X_5),Y)) = difference(Y,difference(X_5,difference(X_5,Y))) ),
inference(resolve,[$cnf( $equal(difference(Y,difference(Y,X_5)),difference(X_5,difference(X_5,Y))) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
difference(difference(Y,X_5),difference(difference(Y,X_5),Y)) = difference(Y,difference(X_5,difference(X_5,Y))),
inference(resolve,[$cnf( $equal(difference(difference(Y,X_5),difference(difference(Y,X_5),Y)),difference(Y,difference(Y,difference(Y,X_5)))) )],[refute_0_69,refute_0_72]) ).
cnf(refute_0_74,plain,
( difference(difference(Y,X_5),difference(difference(Y,X_5),Y)) != difference(Y,difference(Y,difference(Y,X_5)))
| difference(difference(Y,X_5),difference(difference(Y,X_5),Y)) != difference(Y,difference(X_5,difference(X_5,Y)))
| difference(Y,difference(Y,difference(Y,X_5))) = difference(Y,difference(X_5,difference(X_5,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(Y,X_5),difference(difference(Y,X_5),Y)),difference(Y,difference(X_5,difference(X_5,Y)))) ),[0],$fot(difference(Y,difference(Y,difference(Y,X_5))))]]) ).
cnf(refute_0_75,plain,
( difference(difference(Y,X_5),difference(difference(Y,X_5),Y)) != difference(Y,difference(X_5,difference(X_5,Y)))
| difference(Y,difference(Y,difference(Y,X_5))) = difference(Y,difference(X_5,difference(X_5,Y))) ),
inference(resolve,[$cnf( $equal(difference(difference(Y,X_5),difference(difference(Y,X_5),Y)),difference(Y,difference(Y,difference(Y,X_5)))) )],[refute_0_69,refute_0_74]) ).
cnf(refute_0_76,plain,
difference(Y,difference(Y,difference(Y,X_5))) = difference(Y,difference(X_5,difference(X_5,Y))),
inference(resolve,[$cnf( $equal(difference(difference(Y,X_5),difference(difference(Y,X_5),Y)),difference(Y,difference(X_5,difference(X_5,Y)))) )],[refute_0_73,refute_0_75]) ).
cnf(refute_0_77,plain,
difference(difference(X_5,X_23),difference(difference(X_5,X_23),difference(difference(X_5,X_23),X_5))) = difference(difference(X_5,X_23),difference(X_5,difference(X_5,difference(X_5,X_23)))),
inference(subst,[],[refute_0_76:[bind(Y,$fot(difference(X_5,X_23)))]]) ).
cnf(refute_0_78,plain,
difference(X_5,difference(X_5,difference(X_5,X_23))) = difference(X_5,difference(X_23,difference(X_23,X_5))),
inference(subst,[],[refute_0_76:[bind(Y,$fot(X_5)),bind(X_5,$fot(X_23))]]) ).
cnf(refute_0_79,plain,
( difference(X_5,difference(X_5,difference(X_5,X_23))) != difference(X_5,difference(X_23,difference(X_23,X_5)))
| difference(difference(X_5,X_23),difference(difference(X_5,X_23),difference(difference(X_5,X_23),X_5))) != difference(difference(X_5,X_23),difference(X_5,difference(X_5,difference(X_5,X_23))))
| difference(difference(X_5,X_23),difference(difference(X_5,X_23),difference(difference(X_5,X_23),X_5))) = difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_5,X_23),difference(difference(X_5,X_23),difference(difference(X_5,X_23),X_5))),difference(difference(X_5,X_23),difference(X_5,difference(X_5,difference(X_5,X_23))))) ),[1,1],$fot(difference(X_5,difference(X_23,difference(X_23,X_5))))]]) ).
cnf(refute_0_80,plain,
( difference(difference(X_5,X_23),difference(difference(X_5,X_23),difference(difference(X_5,X_23),X_5))) != difference(difference(X_5,X_23),difference(X_5,difference(X_5,difference(X_5,X_23))))
| difference(difference(X_5,X_23),difference(difference(X_5,X_23),difference(difference(X_5,X_23),X_5))) = difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))) ),
inference(resolve,[$cnf( $equal(difference(X_5,difference(X_5,difference(X_5,X_23))),difference(X_5,difference(X_23,difference(X_23,X_5)))) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
difference(difference(X_5,X_23),difference(difference(X_5,X_23),difference(difference(X_5,X_23),X_5))) = difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))),
inference(resolve,[$cnf( $equal(difference(difference(X_5,X_23),difference(difference(X_5,X_23),difference(difference(X_5,X_23),X_5))),difference(difference(X_5,X_23),difference(X_5,difference(X_5,difference(X_5,X_23))))) )],[refute_0_77,refute_0_80]) ).
cnf(refute_0_82,plain,
( difference(difference(X_5,X_23),difference(difference(X_5,X_23),difference(difference(X_5,X_23),X_5))) != difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5))))
| difference(difference(X_5,X_23),difference(difference(X_5,X_23),difference(difference(X_5,X_23),X_5))) != difference(difference(X_5,X_23),difference(X_5,difference(X_5,difference(X_5,X_23))))
| difference(difference(X_5,X_23),difference(X_5,difference(X_5,difference(X_5,X_23)))) = difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_5,X_23),difference(difference(X_5,X_23),difference(difference(X_5,X_23),X_5))),difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5))))) ),[0],$fot(difference(difference(X_5,X_23),difference(X_5,difference(X_5,difference(X_5,X_23)))))]]) ).
cnf(refute_0_83,plain,
( difference(difference(X_5,X_23),difference(difference(X_5,X_23),difference(difference(X_5,X_23),X_5))) != difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5))))
| difference(difference(X_5,X_23),difference(X_5,difference(X_5,difference(X_5,X_23)))) = difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_5,X_23),difference(difference(X_5,X_23),difference(difference(X_5,X_23),X_5))),difference(difference(X_5,X_23),difference(X_5,difference(X_5,difference(X_5,X_23))))) )],[refute_0_77,refute_0_82]) ).
cnf(refute_0_84,plain,
difference(difference(X_5,X_23),difference(X_5,difference(X_5,difference(X_5,X_23)))) = difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))),
inference(resolve,[$cnf( $equal(difference(difference(X_5,X_23),difference(difference(X_5,X_23),difference(difference(X_5,X_23),X_5))),difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5))))) )],[refute_0_81,refute_0_83]) ).
cnf(refute_0_85,plain,
difference(difference(Y,X_23),difference(difference(Y,X_23),Y)) = difference(Y,difference(Y,difference(Y,X_23))),
inference(subst,[],[set_difference_2:[bind(X,$fot(difference(Y,X_23)))]]) ).
cnf(refute_0_86,plain,
difference(Y,difference(Y,difference(Y,X_23))) = difference(Y,difference(X_23,difference(X_23,Y))),
inference(subst,[],[refute_0_76:[bind(X_5,$fot(X_23))]]) ).
cnf(refute_0_87,plain,
( difference(Y,difference(Y,difference(Y,X_23))) != difference(Y,difference(X_23,difference(X_23,Y)))
| difference(difference(Y,X_23),difference(difference(Y,X_23),Y)) != difference(Y,difference(Y,difference(Y,X_23)))
| difference(difference(Y,X_23),difference(difference(Y,X_23),Y)) = difference(Y,difference(X_23,difference(X_23,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(Y,X_23),difference(difference(Y,X_23),Y)),difference(Y,difference(Y,difference(Y,X_23)))) ),[1],$fot(difference(Y,difference(X_23,difference(X_23,Y))))]]) ).
cnf(refute_0_88,plain,
( difference(difference(Y,X_23),difference(difference(Y,X_23),Y)) != difference(Y,difference(Y,difference(Y,X_23)))
| difference(difference(Y,X_23),difference(difference(Y,X_23),Y)) = difference(Y,difference(X_23,difference(X_23,Y))) ),
inference(resolve,[$cnf( $equal(difference(Y,difference(Y,difference(Y,X_23))),difference(Y,difference(X_23,difference(X_23,Y)))) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
difference(difference(Y,X_23),difference(difference(Y,X_23),Y)) = difference(Y,difference(X_23,difference(X_23,Y))),
inference(resolve,[$cnf( $equal(difference(difference(Y,X_23),difference(difference(Y,X_23),Y)),difference(Y,difference(Y,difference(Y,X_23)))) )],[refute_0_85,refute_0_88]) ).
cnf(refute_0_90,plain,
( difference(X_6,X_8) != difference(difference(X_6,X_8),difference(Y,X_6))
| difference(difference(X_6,X_8),difference(Y,X_6)) = difference(X_6,X_8) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(X_6,X_8))),bind(Y0,$fot(difference(difference(X_6,X_8),difference(Y,X_6))))]]) ).
cnf(refute_0_91,plain,
difference(difference(X_6,X_8),difference(Y,X_6)) = difference(X_6,X_8),
inference(resolve,[$cnf( $equal(difference(X_6,X_8),difference(difference(X_6,X_8),difference(Y,X_6))) )],[refute_0_24,refute_0_90]) ).
cnf(refute_0_92,plain,
difference(difference(Y,X_23),difference(difference(Y,X_23),Y)) = difference(Y,X_23),
inference(subst,[],[refute_0_91:[bind(Y,$fot(difference(Y,X_23))),bind(X_6,$fot(Y)),bind(X_8,$fot(X_23))]]) ).
cnf(refute_0_93,plain,
( difference(difference(Y,X_23),difference(difference(Y,X_23),Y)) != difference(Y,X_23)
| difference(difference(Y,X_23),difference(difference(Y,X_23),Y)) != difference(Y,difference(X_23,difference(X_23,Y)))
| difference(Y,X_23) = difference(Y,difference(X_23,difference(X_23,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(Y,X_23),difference(difference(Y,X_23),Y)),difference(Y,difference(X_23,difference(X_23,Y)))) ),[0],$fot(difference(Y,X_23))]]) ).
cnf(refute_0_94,plain,
( difference(difference(Y,X_23),difference(difference(Y,X_23),Y)) != difference(Y,difference(X_23,difference(X_23,Y)))
| difference(Y,X_23) = difference(Y,difference(X_23,difference(X_23,Y))) ),
inference(resolve,[$cnf( $equal(difference(difference(Y,X_23),difference(difference(Y,X_23),Y)),difference(Y,X_23)) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
difference(Y,X_23) = difference(Y,difference(X_23,difference(X_23,Y))),
inference(resolve,[$cnf( $equal(difference(difference(Y,X_23),difference(difference(Y,X_23),Y)),difference(Y,difference(X_23,difference(X_23,Y)))) )],[refute_0_89,refute_0_94]) ).
cnf(refute_0_96,plain,
( difference(Y,X_23) != difference(Y,difference(X_23,difference(X_23,Y)))
| difference(Y,difference(X_23,difference(X_23,Y))) = difference(Y,X_23) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(Y,X_23))),bind(Y0,$fot(difference(Y,difference(X_23,difference(X_23,Y)))))]]) ).
cnf(refute_0_97,plain,
difference(Y,difference(X_23,difference(X_23,Y))) = difference(Y,X_23),
inference(resolve,[$cnf( $equal(difference(Y,X_23),difference(Y,difference(X_23,difference(X_23,Y)))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
difference(difference(X_5,X_23),difference(X_5,difference(X_5,difference(X_5,X_23)))) = difference(difference(X_5,X_23),X_5),
inference(subst,[],[refute_0_97:[bind(Y,$fot(difference(X_5,X_23))),bind(X_23,$fot(X_5))]]) ).
cnf(refute_0_99,plain,
( difference(difference(X_5,X_23),difference(X_5,difference(X_5,difference(X_5,X_23)))) != difference(difference(X_5,X_23),X_5)
| difference(difference(X_5,X_23),difference(X_5,difference(X_5,difference(X_5,X_23)))) != difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5))))
| difference(difference(X_5,X_23),X_5) = difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_5,X_23),difference(X_5,difference(X_5,difference(X_5,X_23)))),difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5))))) ),[0],$fot(difference(difference(X_5,X_23),X_5))]]) ).
cnf(refute_0_100,plain,
( difference(difference(X_5,X_23),difference(X_5,difference(X_5,difference(X_5,X_23)))) != difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5))))
| difference(difference(X_5,X_23),X_5) = difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_5,X_23),difference(X_5,difference(X_5,difference(X_5,X_23)))),difference(difference(X_5,X_23),X_5)) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
difference(difference(X_1,X_5),difference(difference(X_1,X_5),X_5)) = difference(X_5,difference(X_5,difference(X_1,X_5))),
inference(subst,[],[set_difference_2:[bind(X,$fot(difference(X_1,X_5))),bind(Y,$fot(X_5))]]) ).
cnf(refute_0_102,plain,
difference(difference(X_1,Y),difference(Y,difference(X_1,Y))) = difference(X_1,Y),
inference(subst,[],[set_difference_1:[bind(X,$fot(difference(X_1,Y)))]]) ).
cnf(refute_0_103,plain,
difference(Y,difference(X_1,Y)) = Y,
inference(subst,[],[set_difference_1:[bind(X,$fot(Y)),bind(Y,$fot(X_1))]]) ).
cnf(refute_0_104,plain,
( difference(Y,difference(X_1,Y)) != Y
| difference(difference(X_1,Y),difference(Y,difference(X_1,Y))) != difference(X_1,Y)
| difference(difference(X_1,Y),Y) = difference(X_1,Y) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_1,Y),difference(Y,difference(X_1,Y))),difference(X_1,Y)) ),[0,1],$fot(Y)]]) ).
cnf(refute_0_105,plain,
( difference(difference(X_1,Y),difference(Y,difference(X_1,Y))) != difference(X_1,Y)
| difference(difference(X_1,Y),Y) = difference(X_1,Y) ),
inference(resolve,[$cnf( $equal(difference(Y,difference(X_1,Y)),Y) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
difference(difference(X_1,Y),Y) = difference(X_1,Y),
inference(resolve,[$cnf( $equal(difference(difference(X_1,Y),difference(Y,difference(X_1,Y))),difference(X_1,Y)) )],[refute_0_102,refute_0_105]) ).
cnf(refute_0_107,plain,
difference(difference(X_1,X_5),X_5) = difference(X_1,X_5),
inference(subst,[],[refute_0_106:[bind(Y,$fot(X_5))]]) ).
cnf(refute_0_108,plain,
( difference(difference(X_1,X_5),X_5) != difference(X_1,X_5)
| difference(difference(X_1,X_5),difference(difference(X_1,X_5),X_5)) != difference(X_5,difference(X_5,difference(X_1,X_5)))
| difference(difference(X_1,X_5),difference(X_1,X_5)) = difference(X_5,difference(X_5,difference(X_1,X_5))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_1,X_5),difference(difference(X_1,X_5),X_5)),difference(X_5,difference(X_5,difference(X_1,X_5)))) ),[0,1],$fot(difference(X_1,X_5))]]) ).
cnf(refute_0_109,plain,
( difference(difference(X_1,X_5),difference(difference(X_1,X_5),X_5)) != difference(X_5,difference(X_5,difference(X_1,X_5)))
| difference(difference(X_1,X_5),difference(X_1,X_5)) = difference(X_5,difference(X_5,difference(X_1,X_5))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_1,X_5),X_5),difference(X_1,X_5)) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
difference(difference(X_1,X_5),difference(X_1,X_5)) = difference(X_5,difference(X_5,difference(X_1,X_5))),
inference(resolve,[$cnf( $equal(difference(difference(X_1,X_5),difference(difference(X_1,X_5),X_5)),difference(X_5,difference(X_5,difference(X_1,X_5)))) )],[refute_0_101,refute_0_109]) ).
cnf(refute_0_111,plain,
difference(X_5,difference(X_1,X_5)) = X_5,
inference(subst,[],[set_difference_1:[bind(X,$fot(X_5)),bind(Y,$fot(X_1))]]) ).
cnf(refute_0_112,plain,
difference(X_5,difference(X_5,difference(X_1,X_5))) = difference(X_5,difference(X_5,difference(X_1,X_5))),
introduced(tautology,[refl,[$fot(difference(X_5,difference(X_5,difference(X_1,X_5))))]]) ).
cnf(refute_0_113,plain,
( difference(X_5,difference(X_1,X_5)) != X_5
| difference(X_5,difference(X_5,difference(X_1,X_5))) != difference(X_5,difference(X_5,difference(X_1,X_5)))
| difference(X_5,difference(X_5,difference(X_1,X_5))) = difference(X_5,X_5) ),
introduced(tautology,[equality,[$cnf( $equal(difference(X_5,difference(X_5,difference(X_1,X_5))),difference(X_5,difference(X_5,difference(X_1,X_5)))) ),[1,1],$fot(X_5)]]) ).
cnf(refute_0_114,plain,
( difference(X_5,difference(X_1,X_5)) != X_5
| difference(X_5,difference(X_5,difference(X_1,X_5))) = difference(X_5,X_5) ),
inference(resolve,[$cnf( $equal(difference(X_5,difference(X_5,difference(X_1,X_5))),difference(X_5,difference(X_5,difference(X_1,X_5)))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
difference(X_5,difference(X_5,difference(X_1,X_5))) = difference(X_5,X_5),
inference(resolve,[$cnf( $equal(difference(X_5,difference(X_1,X_5)),X_5) )],[refute_0_111,refute_0_114]) ).
cnf(refute_0_116,plain,
( difference(X_5,difference(X_5,difference(X_1,X_5))) != difference(X_5,X_5)
| difference(difference(X_1,X_5),difference(X_1,X_5)) != difference(X_5,difference(X_5,difference(X_1,X_5)))
| difference(difference(X_1,X_5),difference(X_1,X_5)) = difference(X_5,X_5) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_1,X_5),difference(X_1,X_5)),difference(X_5,difference(X_5,difference(X_1,X_5)))) ),[1],$fot(difference(X_5,X_5))]]) ).
cnf(refute_0_117,plain,
( difference(difference(X_1,X_5),difference(X_1,X_5)) != difference(X_5,difference(X_5,difference(X_1,X_5)))
| difference(difference(X_1,X_5),difference(X_1,X_5)) = difference(X_5,X_5) ),
inference(resolve,[$cnf( $equal(difference(X_5,difference(X_5,difference(X_1,X_5))),difference(X_5,X_5)) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
difference(difference(X_1,X_5),difference(X_1,X_5)) = difference(X_5,X_5),
inference(resolve,[$cnf( $equal(difference(difference(X_1,X_5),difference(X_1,X_5)),difference(X_5,difference(X_5,difference(X_1,X_5)))) )],[refute_0_110,refute_0_117]) ).
cnf(refute_0_119,plain,
difference(difference(X_5,X_5),difference(X_5,X_5)) = difference(X_5,X_5),
inference(subst,[],[refute_0_118:[bind(X_1,$fot(X_5))]]) ).
cnf(refute_0_120,plain,
difference(difference(difference(X,Z),X_10),difference(difference(X,Z),X_10)) = difference(X_10,X_10),
inference(subst,[],[refute_0_118:[bind(X_1,$fot(difference(X,Z))),bind(X_5,$fot(X_10))]]) ).
cnf(refute_0_121,plain,
difference(difference(X,X_10),Z) = difference(difference(X,Z),X_10),
inference(subst,[],[set_difference_3_simplified:[bind(Y,$fot(X_10))]]) ).
cnf(refute_0_122,plain,
( difference(difference(X,X_10),Z) != difference(difference(X,Z),X_10)
| difference(difference(X,Z),X_10) = difference(difference(X,X_10),Z) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(difference(X,X_10),Z))),bind(Y0,$fot(difference(difference(X,Z),X_10)))]]) ).
cnf(refute_0_123,plain,
difference(difference(X,Z),X_10) = difference(difference(X,X_10),Z),
inference(resolve,[$cnf( $equal(difference(difference(X,X_10),Z),difference(difference(X,Z),X_10)) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
( difference(difference(X,Z),X_10) != difference(difference(X,X_10),Z)
| difference(difference(difference(X,Z),X_10),difference(difference(X,Z),X_10)) != difference(X_10,X_10)
| difference(difference(difference(X,X_10),Z),difference(difference(X,Z),X_10)) = difference(X_10,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(difference(X,Z),X_10),difference(difference(X,Z),X_10)),difference(X_10,X_10)) ),[0,0],$fot(difference(difference(X,X_10),Z))]]) ).
cnf(refute_0_125,plain,
( difference(difference(difference(X,Z),X_10),difference(difference(X,Z),X_10)) != difference(X_10,X_10)
| difference(difference(difference(X,X_10),Z),difference(difference(X,Z),X_10)) = difference(X_10,X_10) ),
inference(resolve,[$cnf( $equal(difference(difference(X,Z),X_10),difference(difference(X,X_10),Z)) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
difference(difference(difference(X,X_10),Z),difference(difference(X,Z),X_10)) = difference(X_10,X_10),
inference(resolve,[$cnf( $equal(difference(difference(difference(X,Z),X_10),difference(difference(X,Z),X_10)),difference(X_10,X_10)) )],[refute_0_120,refute_0_125]) ).
cnf(refute_0_127,plain,
( difference(difference(X,Z),X_10) != difference(difference(X,X_10),Z)
| difference(difference(difference(X,Z),X_10),difference(difference(X,Z),X_10)) != difference(X_10,X_10)
| difference(difference(difference(X,Z),X_10),difference(difference(X,X_10),Z)) = difference(X_10,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(difference(X,Z),X_10),difference(difference(X,Z),X_10)),difference(X_10,X_10)) ),[0,1],$fot(difference(difference(X,X_10),Z))]]) ).
cnf(refute_0_128,plain,
( difference(difference(difference(X,Z),X_10),difference(difference(X,Z),X_10)) != difference(X_10,X_10)
| difference(difference(difference(X,Z),X_10),difference(difference(X,X_10),Z)) = difference(X_10,X_10) ),
inference(resolve,[$cnf( $equal(difference(difference(X,Z),X_10),difference(difference(X,X_10),Z)) )],[refute_0_123,refute_0_127]) ).
cnf(refute_0_129,plain,
difference(difference(difference(X,Z),X_10),difference(difference(X,X_10),Z)) = difference(X_10,X_10),
inference(resolve,[$cnf( $equal(difference(difference(difference(X,Z),X_10),difference(difference(X,Z),X_10)),difference(X_10,X_10)) )],[refute_0_120,refute_0_128]) ).
cnf(refute_0_130,plain,
difference(difference(difference(X,X_10),Z),difference(difference(X,Z),X_10)) = difference(Z,Z),
inference(subst,[],[refute_0_129:[bind(Z,$fot(X_10)),bind(X_10,$fot(Z))]]) ).
cnf(refute_0_131,plain,
( difference(difference(difference(X,X_10),Z),difference(difference(X,Z),X_10)) != difference(Z,Z)
| difference(difference(difference(X,X_10),Z),difference(difference(X,Z),X_10)) != difference(X_10,X_10)
| difference(Z,Z) = difference(X_10,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(difference(X,X_10),Z),difference(difference(X,Z),X_10)),difference(X_10,X_10)) ),[0],$fot(difference(Z,Z))]]) ).
cnf(refute_0_132,plain,
( difference(difference(difference(X,X_10),Z),difference(difference(X,Z),X_10)) != difference(X_10,X_10)
| difference(Z,Z) = difference(X_10,X_10) ),
inference(resolve,[$cnf( $equal(difference(difference(difference(X,X_10),Z),difference(difference(X,Z),X_10)),difference(Z,Z)) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
difference(Z,Z) = difference(X_10,X_10),
inference(resolve,[$cnf( $equal(difference(difference(difference(X,X_10),Z),difference(difference(X,Z),X_10)),difference(X_10,X_10)) )],[refute_0_126,refute_0_132]) ).
cnf(refute_0_134,plain,
difference(X_5,X_5) = difference(X_12,X_12),
inference(subst,[],[refute_0_133:[bind(Z,$fot(X_5)),bind(X_10,$fot(X_12))]]) ).
cnf(refute_0_135,plain,
( difference(X_5,X_5) != difference(X_12,X_12)
| difference(difference(X_5,X_5),difference(X_5,X_5)) != difference(X_5,X_5)
| difference(difference(X_12,X_12),difference(X_5,X_5)) = difference(X_5,X_5) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_5,X_5),difference(X_5,X_5)),difference(X_5,X_5)) ),[0,0],$fot(difference(X_12,X_12))]]) ).
cnf(refute_0_136,plain,
( difference(difference(X_5,X_5),difference(X_5,X_5)) != difference(X_5,X_5)
| difference(difference(X_12,X_12),difference(X_5,X_5)) = difference(X_5,X_5) ),
inference(resolve,[$cnf( $equal(difference(X_5,X_5),difference(X_12,X_12)) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
difference(difference(X_12,X_12),difference(X_5,X_5)) = difference(X_5,X_5),
inference(resolve,[$cnf( $equal(difference(difference(X_5,X_5),difference(X_5,X_5)),difference(X_5,X_5)) )],[refute_0_119,refute_0_136]) ).
cnf(refute_0_138,plain,
difference(X,difference(X,X)) = difference(X,difference(X,X)),
inference(subst,[],[set_difference_2:[bind(Y,$fot(X))]]) ).
cnf(refute_0_139,plain,
difference(X,X) = difference(X_12,X_12),
inference(subst,[],[refute_0_133:[bind(Z,$fot(X)),bind(X_10,$fot(X_12))]]) ).
cnf(refute_0_140,plain,
( difference(X,X) != difference(X_12,X_12)
| difference(X,difference(X,X)) != difference(X,difference(X,X))
| difference(X,difference(X,X)) = difference(X,difference(X_12,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(X,difference(X,X)),difference(X,difference(X,X))) ),[1,1],$fot(difference(X_12,X_12))]]) ).
cnf(refute_0_141,plain,
( difference(X,difference(X,X)) != difference(X,difference(X,X))
| difference(X,difference(X,X)) = difference(X,difference(X_12,X_12)) ),
inference(resolve,[$cnf( $equal(difference(X,X),difference(X_12,X_12)) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
difference(X,difference(X,X)) = difference(X,difference(X_12,X_12)),
inference(resolve,[$cnf( $equal(difference(X,difference(X,X)),difference(X,difference(X,X))) )],[refute_0_138,refute_0_141]) ).
cnf(refute_0_143,plain,
difference(X,difference(X,X)) = X,
inference(subst,[],[set_difference_1:[bind(Y,$fot(X))]]) ).
cnf(refute_0_144,plain,
( difference(X,difference(X,X)) != X
| difference(X,difference(X,X)) != difference(X,difference(X_12,X_12))
| X = difference(X,difference(X_12,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(X,difference(X,X)),difference(X,difference(X_12,X_12))) ),[0],$fot(X)]]) ).
cnf(refute_0_145,plain,
( difference(X,difference(X,X)) != difference(X,difference(X_12,X_12))
| X = difference(X,difference(X_12,X_12)) ),
inference(resolve,[$cnf( $equal(difference(X,difference(X,X)),X) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
X = difference(X,difference(X_12,X_12)),
inference(resolve,[$cnf( $equal(difference(X,difference(X,X)),difference(X,difference(X_12,X_12))) )],[refute_0_142,refute_0_145]) ).
cnf(refute_0_147,plain,
( X != difference(X,difference(X_12,X_12))
| difference(X,difference(X_12,X_12)) = X ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(X)),bind(Y0,$fot(difference(X,difference(X_12,X_12))))]]) ).
cnf(refute_0_148,plain,
difference(X,difference(X_12,X_12)) = X,
inference(resolve,[$cnf( $equal(X,difference(X,difference(X_12,X_12))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
difference(difference(X_12,X_12),difference(X_5,X_5)) = difference(X_12,X_12),
inference(subst,[],[refute_0_148:[bind(X,$fot(difference(X_12,X_12))),bind(X_12,$fot(X_5))]]) ).
cnf(refute_0_150,plain,
( difference(difference(X_12,X_12),difference(X_5,X_5)) != difference(X_12,X_12)
| difference(difference(X_12,X_12),difference(X_5,X_5)) != difference(X_5,X_5)
| difference(X_12,X_12) = difference(X_5,X_5) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_12,X_12),difference(X_5,X_5)),difference(X_5,X_5)) ),[0],$fot(difference(X_12,X_12))]]) ).
cnf(refute_0_151,plain,
( difference(difference(X_12,X_12),difference(X_5,X_5)) != difference(X_5,X_5)
| difference(X_12,X_12) = difference(X_5,X_5) ),
inference(resolve,[$cnf( $equal(difference(difference(X_12,X_12),difference(X_5,X_5)),difference(X_12,X_12)) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
difference(X_12,X_12) = difference(X_5,X_5),
inference(resolve,[$cnf( $equal(difference(difference(X_12,X_12),difference(X_5,X_5)),difference(X_5,X_5)) )],[refute_0_137,refute_0_151]) ).
cnf(refute_0_153,plain,
difference(difference(X_5,X_23),difference(X_5,X_23)) = difference(X_5,X_5),
inference(subst,[],[refute_0_152:[bind(X_12,$fot(difference(X_5,X_23)))]]) ).
cnf(refute_0_154,plain,
difference(X_5,difference(X_23,difference(X_23,X_5))) = difference(X_5,X_23),
inference(subst,[],[refute_0_97:[bind(Y,$fot(X_5))]]) ).
cnf(refute_0_155,plain,
difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))) = difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))),
introduced(tautology,[refl,[$fot(difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))))]]) ).
cnf(refute_0_156,plain,
( difference(X_5,difference(X_23,difference(X_23,X_5))) != difference(X_5,X_23)
| difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))) != difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5))))
| difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))) = difference(difference(X_5,X_23),difference(X_5,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))),difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5))))) ),[1,1],$fot(difference(X_5,X_23))]]) ).
cnf(refute_0_157,plain,
( difference(X_5,difference(X_23,difference(X_23,X_5))) != difference(X_5,X_23)
| difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))) = difference(difference(X_5,X_23),difference(X_5,X_23)) ),
inference(resolve,[$cnf( $equal(difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))),difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5))))) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))) = difference(difference(X_5,X_23),difference(X_5,X_23)),
inference(resolve,[$cnf( $equal(difference(X_5,difference(X_23,difference(X_23,X_5))),difference(X_5,X_23)) )],[refute_0_154,refute_0_157]) ).
cnf(refute_0_159,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_160,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_10,refute_0_159]) ).
cnf(refute_0_161,plain,
( difference(difference(X_5,X_23),difference(X_5,X_23)) != difference(X_5,X_5)
| difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))) != difference(difference(X_5,X_23),difference(X_5,X_23))
| difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))) = difference(X_5,X_5) ),
inference(subst,[],[refute_0_160:[bind(X0,$fot(difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))))),bind(Y0,$fot(difference(difference(X_5,X_23),difference(X_5,X_23)))),bind(Z0,$fot(difference(X_5,X_5)))]]) ).
cnf(refute_0_162,plain,
( difference(difference(X_5,X_23),difference(X_5,X_23)) != difference(X_5,X_5)
| difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))) = difference(X_5,X_5) ),
inference(resolve,[$cnf( $equal(difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))),difference(difference(X_5,X_23),difference(X_5,X_23))) )],[refute_0_158,refute_0_161]) ).
cnf(refute_0_163,plain,
difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))) = difference(X_5,X_5),
inference(resolve,[$cnf( $equal(difference(difference(X_5,X_23),difference(X_5,X_23)),difference(X_5,X_5)) )],[refute_0_153,refute_0_162]) ).
cnf(refute_0_164,plain,
( difference(difference(X_5,X_23),X_5) != difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5))))
| difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))) != difference(X_5,X_5)
| difference(difference(X_5,X_23),X_5) = difference(X_5,X_5) ),
introduced(tautology,[equality,[$cnf( ~ $equal(difference(difference(X_5,X_23),X_5),difference(X_5,X_5)) ),[0],$fot(difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))))]]) ).
cnf(refute_0_165,plain,
( difference(difference(X_5,X_23),X_5) != difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5))))
| difference(difference(X_5,X_23),X_5) = difference(X_5,X_5) ),
inference(resolve,[$cnf( $equal(difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5)))),difference(X_5,X_5)) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
( difference(difference(X_5,X_23),difference(X_5,difference(X_5,difference(X_5,X_23)))) != difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5))))
| difference(difference(X_5,X_23),X_5) = difference(X_5,X_5) ),
inference(resolve,[$cnf( $equal(difference(difference(X_5,X_23),X_5),difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5))))) )],[refute_0_100,refute_0_165]) ).
cnf(refute_0_167,plain,
difference(difference(X_5,X_23),X_5) = difference(X_5,X_5),
inference(resolve,[$cnf( $equal(difference(difference(X_5,X_23),difference(X_5,difference(X_5,difference(X_5,X_23)))),difference(difference(X_5,X_23),difference(X_5,difference(X_23,difference(X_23,X_5))))) )],[refute_0_84,refute_0_166]) ).
cnf(refute_0_168,plain,
difference(difference(X_8,X_67),X_8) = difference(X_8,X_8),
inference(subst,[],[refute_0_167:[bind(X_23,$fot(X_67)),bind(X_5,$fot(X_8))]]) ).
cnf(refute_0_169,plain,
( difference(difference(X,X_8),difference(X,difference(X_8,X_67))) != difference(difference(X_8,X_67),X_8)
| difference(difference(X_8,X_67),X_8) != difference(X_8,X_8)
| difference(difference(X,X_8),difference(X,difference(X_8,X_67))) = difference(X_8,X_8) ),
introduced(tautology,[equality,[$cnf( ~ $equal(difference(difference(X,X_8),difference(X,difference(X_8,X_67))),difference(X_8,X_8)) ),[0],$fot(difference(difference(X_8,X_67),X_8))]]) ).
cnf(refute_0_170,plain,
( difference(difference(X,X_8),difference(X,difference(X_8,X_67))) != difference(difference(X_8,X_67),X_8)
| difference(difference(X,X_8),difference(X,difference(X_8,X_67))) = difference(X_8,X_8) ),
inference(resolve,[$cnf( $equal(difference(difference(X_8,X_67),X_8),difference(X_8,X_8)) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
( difference(difference(X,difference(X,difference(X_8,X_67))),X_8) != difference(difference(X_8,X_67),X_8)
| difference(difference(X,X_8),difference(X,difference(X_8,X_67))) = difference(X_8,X_8) ),
inference(resolve,[$cnf( $equal(difference(difference(X,X_8),difference(X,difference(X_8,X_67))),difference(difference(X_8,X_67),X_8)) )],[refute_0_68,refute_0_170]) ).
cnf(refute_0_172,plain,
difference(difference(X,X_8),difference(X,difference(X_8,X_67))) = difference(X_8,X_8),
inference(resolve,[$cnf( $equal(difference(difference(X,difference(X,difference(X_8,X_67))),X_8),difference(difference(X_8,X_67),X_8)) )],[refute_0_62,refute_0_171]) ).
cnf(refute_0_173,plain,
difference(difference(X_6,X),difference(X_6,difference(X,X_103))) = difference(X,X),
inference(subst,[],[refute_0_172:[bind(X,$fot(X_6)),bind(X_67,$fot(X_103)),bind(X_8,$fot(X))]]) ).
cnf(refute_0_174,plain,
( difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))) != difference(difference(X_6,difference(X_6,difference(X,X_103))),difference(difference(X_6,X),difference(X_6,difference(X,X_103))))
| difference(difference(X_6,X),difference(X_6,difference(X,X_103))) != difference(X,X)
| difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))) = difference(difference(X_6,difference(X_6,difference(X,X_103))),difference(X,X)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))),difference(difference(X_6,difference(X_6,difference(X,X_103))),difference(difference(X_6,X),difference(X_6,difference(X,X_103))))) ),[1,1],$fot(difference(X,X))]]) ).
cnf(refute_0_175,plain,
( difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))) != difference(difference(X_6,difference(X_6,difference(X,X_103))),difference(difference(X_6,X),difference(X_6,difference(X,X_103))))
| difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))) = difference(difference(X_6,difference(X_6,difference(X,X_103))),difference(X,X)) ),
inference(resolve,[$cnf( $equal(difference(difference(X_6,X),difference(X_6,difference(X,X_103))),difference(X,X)) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))) = difference(difference(X_6,difference(X_6,difference(X,X_103))),difference(X,X)),
inference(resolve,[$cnf( $equal(difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))),difference(difference(X_6,difference(X_6,difference(X,X_103))),difference(difference(X_6,X),difference(X_6,difference(X,X_103))))) )],[refute_0_49,refute_0_175]) ).
cnf(refute_0_177,plain,
difference(difference(X_6,difference(X_6,difference(X,X_103))),difference(X,X)) = difference(X_6,difference(X_6,difference(X,X_103))),
inference(subst,[],[refute_0_148:[bind(X,$fot(difference(X_6,difference(X_6,difference(X,X_103))))),bind(X_12,$fot(X))]]) ).
cnf(refute_0_178,plain,
( difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))) != difference(difference(X_6,difference(X_6,difference(X,X_103))),difference(X,X))
| difference(difference(X_6,difference(X_6,difference(X,X_103))),difference(X,X)) != difference(X_6,difference(X_6,difference(X,X_103)))
| difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))) = difference(X_6,difference(X_6,difference(X,X_103))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))),difference(X_6,difference(X_6,difference(X,X_103)))) ),[0],$fot(difference(difference(X_6,difference(X_6,difference(X,X_103))),difference(X,X)))]]) ).
cnf(refute_0_179,plain,
( difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))) != difference(difference(X_6,difference(X_6,difference(X,X_103))),difference(X,X))
| difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))) = difference(X_6,difference(X_6,difference(X,X_103))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_6,difference(X_6,difference(X,X_103))),difference(X,X)),difference(X_6,difference(X_6,difference(X,X_103)))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))) = difference(X_6,difference(X_6,difference(X,X_103))),
inference(resolve,[$cnf( $equal(difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))),difference(difference(X_6,difference(X_6,difference(X,X_103))),difference(X,X))) )],[refute_0_176,refute_0_179]) ).
cnf(refute_0_181,plain,
difference(X_22,difference(X_22,difference(X_22,difference(X,Z)))) = difference(X_22,difference(difference(X,Z),difference(difference(X,Z),X_22))),
inference(subst,[],[refute_0_76:[bind(Y,$fot(X_22)),bind(X_5,$fot(difference(X,Z)))]]) ).
cnf(refute_0_182,plain,
difference(difference(X,X_22),Z) = difference(difference(X,Z),X_22),
inference(subst,[],[set_difference_3_simplified:[bind(Y,$fot(X_22))]]) ).
cnf(refute_0_183,plain,
( difference(difference(X,X_22),Z) != difference(difference(X,Z),X_22)
| difference(difference(X,Z),X_22) = difference(difference(X,X_22),Z) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(difference(X,X_22),Z))),bind(Y0,$fot(difference(difference(X,Z),X_22)))]]) ).
cnf(refute_0_184,plain,
difference(difference(X,Z),X_22) = difference(difference(X,X_22),Z),
inference(resolve,[$cnf( $equal(difference(difference(X,X_22),Z),difference(difference(X,Z),X_22)) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
( difference(X_22,difference(X_22,difference(X_22,difference(X,Z)))) != difference(X_22,difference(difference(X,Z),difference(difference(X,Z),X_22)))
| difference(difference(X,Z),X_22) != difference(difference(X,X_22),Z)
| difference(X_22,difference(X_22,difference(X_22,difference(X,Z)))) = difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(X_22,difference(X_22,difference(X_22,difference(X,Z)))),difference(X_22,difference(difference(X,Z),difference(difference(X,Z),X_22)))) ),[1,1,1],$fot(difference(difference(X,X_22),Z))]]) ).
cnf(refute_0_186,plain,
( difference(X_22,difference(X_22,difference(X_22,difference(X,Z)))) != difference(X_22,difference(difference(X,Z),difference(difference(X,Z),X_22)))
| difference(X_22,difference(X_22,difference(X_22,difference(X,Z)))) = difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z))) ),
inference(resolve,[$cnf( $equal(difference(difference(X,Z),X_22),difference(difference(X,X_22),Z)) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
difference(X_22,difference(X_22,difference(X_22,difference(X,Z)))) = difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z))),
inference(resolve,[$cnf( $equal(difference(X_22,difference(X_22,difference(X_22,difference(X,Z)))),difference(X_22,difference(difference(X,Z),difference(difference(X,Z),X_22)))) )],[refute_0_181,refute_0_186]) ).
cnf(refute_0_188,plain,
difference(Y,difference(Y,difference(Y,difference(X_23,difference(X_23,Y))))) = difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y))),
inference(subst,[],[refute_0_76:[bind(X_5,$fot(difference(X_23,difference(X_23,Y))))]]) ).
cnf(refute_0_189,plain,
( difference(Y,difference(Y,difference(Y,X_23))) != difference(Y,difference(X_23,difference(X_23,Y)))
| difference(Y,difference(X_23,difference(X_23,Y))) = difference(Y,difference(Y,difference(Y,X_23))) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(Y,difference(Y,difference(Y,X_23))))),bind(Y0,$fot(difference(Y,difference(X_23,difference(X_23,Y)))))]]) ).
cnf(refute_0_190,plain,
difference(Y,difference(X_23,difference(X_23,Y))) = difference(Y,difference(Y,difference(Y,X_23))),
inference(resolve,[$cnf( $equal(difference(Y,difference(Y,difference(Y,X_23))),difference(Y,difference(X_23,difference(X_23,Y)))) )],[refute_0_86,refute_0_189]) ).
cnf(refute_0_191,plain,
( difference(Y,difference(Y,difference(Y,difference(X_23,difference(X_23,Y))))) != difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y)))
| difference(Y,difference(X_23,difference(X_23,Y))) != difference(Y,difference(Y,difference(Y,X_23)))
| difference(Y,difference(Y,difference(Y,difference(Y,difference(Y,X_23))))) = difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(Y,difference(Y,difference(Y,difference(X_23,difference(X_23,Y))))),difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y)))) ),[0,1,1],$fot(difference(Y,difference(Y,difference(Y,X_23))))]]) ).
cnf(refute_0_192,plain,
( difference(Y,difference(Y,difference(Y,difference(X_23,difference(X_23,Y))))) != difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y)))
| difference(Y,difference(Y,difference(Y,difference(Y,difference(Y,X_23))))) = difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y))) ),
inference(resolve,[$cnf( $equal(difference(Y,difference(X_23,difference(X_23,Y))),difference(Y,difference(Y,difference(Y,X_23)))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
difference(Y,difference(Y,difference(Y,difference(Y,difference(Y,X_23))))) = difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y))),
inference(resolve,[$cnf( $equal(difference(Y,difference(Y,difference(Y,difference(X_23,difference(X_23,Y))))),difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y)))) )],[refute_0_188,refute_0_192]) ).
cnf(refute_0_194,plain,
difference(Y,difference(Y,difference(Y,difference(Y,X_23)))) = difference(Y,difference(difference(Y,X_23),difference(difference(Y,X_23),Y))),
inference(subst,[],[refute_0_76:[bind(X_5,$fot(difference(Y,X_23)))]]) ).
cnf(refute_0_195,plain,
( difference(Y,difference(Y,difference(Y,X_23))) != difference(Y,difference(X_23,difference(X_23,Y)))
| difference(Y,difference(Y,difference(Y,difference(Y,X_23)))) != difference(Y,difference(difference(Y,X_23),difference(difference(Y,X_23),Y)))
| difference(Y,difference(Y,difference(X_23,difference(X_23,Y)))) = difference(Y,difference(difference(Y,X_23),difference(difference(Y,X_23),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(Y,difference(Y,difference(Y,difference(Y,X_23)))),difference(Y,difference(difference(Y,X_23),difference(difference(Y,X_23),Y)))) ),[0,1],$fot(difference(Y,difference(X_23,difference(X_23,Y))))]]) ).
cnf(refute_0_196,plain,
( difference(Y,difference(Y,difference(Y,difference(Y,X_23)))) != difference(Y,difference(difference(Y,X_23),difference(difference(Y,X_23),Y)))
| difference(Y,difference(Y,difference(X_23,difference(X_23,Y)))) = difference(Y,difference(difference(Y,X_23),difference(difference(Y,X_23),Y))) ),
inference(resolve,[$cnf( $equal(difference(Y,difference(Y,difference(Y,X_23))),difference(Y,difference(X_23,difference(X_23,Y)))) )],[refute_0_86,refute_0_195]) ).
cnf(refute_0_197,plain,
difference(Y,difference(Y,difference(X_23,difference(X_23,Y)))) = difference(Y,difference(difference(Y,X_23),difference(difference(Y,X_23),Y))),
inference(resolve,[$cnf( $equal(difference(Y,difference(Y,difference(Y,difference(Y,X_23)))),difference(Y,difference(difference(Y,X_23),difference(difference(Y,X_23),Y)))) )],[refute_0_194,refute_0_196]) ).
cnf(refute_0_198,plain,
difference(difference(Y,difference(Y,X_23)),difference(difference(Y,difference(Y,X_23)),Y)) = difference(Y,difference(Y,difference(Y,difference(Y,X_23)))),
inference(subst,[],[set_difference_2:[bind(X,$fot(difference(Y,difference(Y,X_23))))]]) ).
cnf(refute_0_199,plain,
( difference(Y,difference(Y,difference(Y,X_23))) != difference(Y,difference(X_23,difference(X_23,Y)))
| difference(difference(Y,difference(Y,X_23)),difference(difference(Y,difference(Y,X_23)),Y)) != difference(Y,difference(Y,difference(Y,difference(Y,X_23))))
| difference(difference(Y,difference(Y,X_23)),difference(difference(Y,difference(Y,X_23)),Y)) = difference(Y,difference(Y,difference(X_23,difference(X_23,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(Y,difference(Y,X_23)),difference(difference(Y,difference(Y,X_23)),Y)),difference(Y,difference(Y,difference(Y,difference(Y,X_23))))) ),[1,1],$fot(difference(Y,difference(X_23,difference(X_23,Y))))]]) ).
cnf(refute_0_200,plain,
( difference(difference(Y,difference(Y,X_23)),difference(difference(Y,difference(Y,X_23)),Y)) != difference(Y,difference(Y,difference(Y,difference(Y,X_23))))
| difference(difference(Y,difference(Y,X_23)),difference(difference(Y,difference(Y,X_23)),Y)) = difference(Y,difference(Y,difference(X_23,difference(X_23,Y)))) ),
inference(resolve,[$cnf( $equal(difference(Y,difference(Y,difference(Y,X_23))),difference(Y,difference(X_23,difference(X_23,Y)))) )],[refute_0_86,refute_0_199]) ).
cnf(refute_0_201,plain,
difference(difference(Y,difference(Y,X_23)),difference(difference(Y,difference(Y,X_23)),Y)) = difference(Y,difference(Y,difference(X_23,difference(X_23,Y)))),
inference(resolve,[$cnf( $equal(difference(difference(Y,difference(Y,X_23)),difference(difference(Y,difference(Y,X_23)),Y)),difference(Y,difference(Y,difference(Y,difference(Y,X_23))))) )],[refute_0_198,refute_0_200]) ).
cnf(refute_0_202,plain,
difference(difference(Y,difference(Y,X_23)),difference(difference(Y,difference(Y,X_23)),Y)) = difference(Y,difference(Y,X_23)),
inference(subst,[],[refute_0_91:[bind(Y,$fot(difference(Y,difference(Y,X_23)))),bind(X_6,$fot(Y)),bind(X_8,$fot(difference(Y,X_23)))]]) ).
cnf(refute_0_203,plain,
( difference(difference(Y,difference(Y,X_23)),difference(difference(Y,difference(Y,X_23)),Y)) != difference(Y,difference(Y,X_23))
| difference(difference(Y,difference(Y,X_23)),difference(difference(Y,difference(Y,X_23)),Y)) != difference(Y,difference(Y,difference(X_23,difference(X_23,Y))))
| difference(Y,difference(Y,X_23)) = difference(Y,difference(Y,difference(X_23,difference(X_23,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(Y,difference(Y,X_23)),difference(difference(Y,difference(Y,X_23)),Y)),difference(Y,difference(Y,difference(X_23,difference(X_23,Y))))) ),[0],$fot(difference(Y,difference(Y,X_23)))]]) ).
cnf(refute_0_204,plain,
( difference(difference(Y,difference(Y,X_23)),difference(difference(Y,difference(Y,X_23)),Y)) != difference(Y,difference(Y,difference(X_23,difference(X_23,Y))))
| difference(Y,difference(Y,X_23)) = difference(Y,difference(Y,difference(X_23,difference(X_23,Y)))) ),
inference(resolve,[$cnf( $equal(difference(difference(Y,difference(Y,X_23)),difference(difference(Y,difference(Y,X_23)),Y)),difference(Y,difference(Y,X_23))) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
difference(Y,difference(Y,X_23)) = difference(Y,difference(Y,difference(X_23,difference(X_23,Y)))),
inference(resolve,[$cnf( $equal(difference(difference(Y,difference(Y,X_23)),difference(difference(Y,difference(Y,X_23)),Y)),difference(Y,difference(Y,difference(X_23,difference(X_23,Y))))) )],[refute_0_201,refute_0_204]) ).
cnf(refute_0_206,plain,
( difference(Y,difference(Y,X_23)) != difference(Y,difference(Y,difference(X_23,difference(X_23,Y))))
| difference(Y,difference(Y,difference(X_23,difference(X_23,Y)))) = difference(Y,difference(Y,X_23)) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(Y,difference(Y,X_23)))),bind(Y0,$fot(difference(Y,difference(Y,difference(X_23,difference(X_23,Y))))))]]) ).
cnf(refute_0_207,plain,
difference(Y,difference(Y,difference(X_23,difference(X_23,Y)))) = difference(Y,difference(Y,X_23)),
inference(resolve,[$cnf( $equal(difference(Y,difference(Y,X_23)),difference(Y,difference(Y,difference(X_23,difference(X_23,Y))))) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
( difference(Y,difference(Y,difference(X_23,difference(X_23,Y)))) != difference(Y,difference(Y,X_23))
| difference(Y,difference(Y,difference(X_23,difference(X_23,Y)))) != difference(Y,difference(difference(Y,X_23),difference(difference(Y,X_23),Y)))
| difference(Y,difference(Y,X_23)) = difference(Y,difference(difference(Y,X_23),difference(difference(Y,X_23),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(Y,difference(Y,difference(X_23,difference(X_23,Y)))),difference(Y,difference(difference(Y,X_23),difference(difference(Y,X_23),Y)))) ),[0],$fot(difference(Y,difference(Y,X_23)))]]) ).
cnf(refute_0_209,plain,
( difference(Y,difference(Y,difference(X_23,difference(X_23,Y)))) != difference(Y,difference(difference(Y,X_23),difference(difference(Y,X_23),Y)))
| difference(Y,difference(Y,X_23)) = difference(Y,difference(difference(Y,X_23),difference(difference(Y,X_23),Y))) ),
inference(resolve,[$cnf( $equal(difference(Y,difference(Y,difference(X_23,difference(X_23,Y)))),difference(Y,difference(Y,X_23))) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
( difference(Y,difference(Y,difference(Y,X_5))) != difference(Y,difference(X_5,difference(X_5,Y)))
| difference(Y,difference(X_5,difference(X_5,Y))) = difference(Y,difference(Y,difference(Y,X_5))) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(Y,difference(Y,difference(Y,X_5))))),bind(Y0,$fot(difference(Y,difference(X_5,difference(X_5,Y)))))]]) ).
cnf(refute_0_211,plain,
difference(Y,difference(X_5,difference(X_5,Y))) = difference(Y,difference(Y,difference(Y,X_5))),
inference(resolve,[$cnf( $equal(difference(Y,difference(Y,difference(Y,X_5))),difference(Y,difference(X_5,difference(X_5,Y)))) )],[refute_0_76,refute_0_210]) ).
cnf(refute_0_212,plain,
difference(Y,difference(difference(Y,X_23),difference(difference(Y,X_23),Y))) = difference(Y,difference(Y,difference(Y,difference(Y,X_23)))),
inference(subst,[],[refute_0_211:[bind(X_5,$fot(difference(Y,X_23)))]]) ).
cnf(refute_0_213,plain,
( difference(Y,difference(Y,X_23)) != difference(Y,difference(difference(Y,X_23),difference(difference(Y,X_23),Y)))
| difference(Y,difference(difference(Y,X_23),difference(difference(Y,X_23),Y))) != difference(Y,difference(Y,difference(Y,difference(Y,X_23))))
| difference(Y,difference(Y,X_23)) = difference(Y,difference(Y,difference(Y,difference(Y,X_23)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(difference(Y,difference(Y,X_23)),difference(Y,difference(Y,difference(Y,difference(Y,X_23))))) ),[0],$fot(difference(Y,difference(difference(Y,X_23),difference(difference(Y,X_23),Y))))]]) ).
cnf(refute_0_214,plain,
( difference(Y,difference(Y,X_23)) != difference(Y,difference(difference(Y,X_23),difference(difference(Y,X_23),Y)))
| difference(Y,difference(Y,X_23)) = difference(Y,difference(Y,difference(Y,difference(Y,X_23)))) ),
inference(resolve,[$cnf( $equal(difference(Y,difference(difference(Y,X_23),difference(difference(Y,X_23),Y))),difference(Y,difference(Y,difference(Y,difference(Y,X_23))))) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
( difference(Y,difference(Y,difference(X_23,difference(X_23,Y)))) != difference(Y,difference(difference(Y,X_23),difference(difference(Y,X_23),Y)))
| difference(Y,difference(Y,X_23)) = difference(Y,difference(Y,difference(Y,difference(Y,X_23)))) ),
inference(resolve,[$cnf( $equal(difference(Y,difference(Y,X_23)),difference(Y,difference(difference(Y,X_23),difference(difference(Y,X_23),Y)))) )],[refute_0_209,refute_0_214]) ).
cnf(refute_0_216,plain,
difference(Y,difference(Y,X_23)) = difference(Y,difference(Y,difference(Y,difference(Y,X_23)))),
inference(resolve,[$cnf( $equal(difference(Y,difference(Y,difference(X_23,difference(X_23,Y)))),difference(Y,difference(difference(Y,X_23),difference(difference(Y,X_23),Y)))) )],[refute_0_197,refute_0_215]) ).
cnf(refute_0_217,plain,
( difference(Y,difference(Y,X_23)) != difference(Y,difference(Y,difference(Y,difference(Y,X_23))))
| difference(Y,difference(Y,difference(Y,difference(Y,X_23)))) = difference(Y,difference(Y,X_23)) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(Y,difference(Y,X_23)))),bind(Y0,$fot(difference(Y,difference(Y,difference(Y,difference(Y,X_23))))))]]) ).
cnf(refute_0_218,plain,
difference(Y,difference(Y,difference(Y,difference(Y,X_23)))) = difference(Y,difference(Y,X_23)),
inference(resolve,[$cnf( $equal(difference(Y,difference(Y,X_23)),difference(Y,difference(Y,difference(Y,difference(Y,X_23))))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
difference(Y,difference(Y,difference(Y,difference(Y,difference(Y,X_23))))) = difference(Y,difference(Y,difference(Y,X_23))),
inference(subst,[],[refute_0_218:[bind(X_23,$fot(difference(Y,X_23)))]]) ).
cnf(refute_0_220,plain,
( difference(Y,difference(Y,difference(Y,difference(Y,difference(Y,X_23))))) != difference(Y,difference(Y,difference(Y,X_23)))
| difference(Y,difference(Y,difference(Y,difference(Y,difference(Y,X_23))))) != difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y)))
| difference(Y,difference(Y,difference(Y,X_23))) = difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(Y,difference(Y,difference(Y,difference(Y,difference(Y,X_23))))),difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y)))) ),[0],$fot(difference(Y,difference(Y,difference(Y,X_23))))]]) ).
cnf(refute_0_221,plain,
( difference(Y,difference(Y,difference(Y,difference(Y,difference(Y,X_23))))) != difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y)))
| difference(Y,difference(Y,difference(Y,X_23))) = difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y))) ),
inference(resolve,[$cnf( $equal(difference(Y,difference(Y,difference(Y,difference(Y,difference(Y,X_23))))),difference(Y,difference(Y,difference(Y,X_23)))) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y))) = difference(Y,difference(X_23,difference(X_23,Y))),
inference(subst,[],[refute_0_97:[bind(X_23,$fot(difference(X_23,difference(X_23,Y))))]]) ).
cnf(refute_0_223,plain,
( difference(Y,difference(X_23,difference(X_23,Y))) != difference(Y,X_23)
| difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y))) != difference(Y,difference(X_23,difference(X_23,Y)))
| difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y))) = difference(Y,X_23) ),
inference(subst,[],[refute_0_160:[bind(X0,$fot(difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y))))),bind(Y0,$fot(difference(Y,difference(X_23,difference(X_23,Y))))),bind(Z0,$fot(difference(Y,X_23)))]]) ).
cnf(refute_0_224,plain,
( difference(Y,difference(X_23,difference(X_23,Y))) != difference(Y,X_23)
| difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y))) = difference(Y,X_23) ),
inference(resolve,[$cnf( $equal(difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y))),difference(Y,difference(X_23,difference(X_23,Y)))) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y))) = difference(Y,X_23),
inference(resolve,[$cnf( $equal(difference(Y,difference(X_23,difference(X_23,Y))),difference(Y,X_23)) )],[refute_0_97,refute_0_224]) ).
cnf(refute_0_226,plain,
( difference(Y,difference(Y,difference(Y,X_23))) != difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y)))
| difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y))) != difference(Y,X_23)
| difference(Y,difference(Y,difference(Y,X_23))) = difference(Y,X_23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(difference(Y,difference(Y,difference(Y,X_23))),difference(Y,X_23)) ),[0],$fot(difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y))))]]) ).
cnf(refute_0_227,plain,
( difference(Y,difference(Y,difference(Y,X_23))) != difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y)))
| difference(Y,difference(Y,difference(Y,X_23))) = difference(Y,X_23) ),
inference(resolve,[$cnf( $equal(difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y))),difference(Y,X_23)) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
( difference(Y,difference(Y,difference(Y,difference(Y,difference(Y,X_23))))) != difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y)))
| difference(Y,difference(Y,difference(Y,X_23))) = difference(Y,X_23) ),
inference(resolve,[$cnf( $equal(difference(Y,difference(Y,difference(Y,X_23))),difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y)))) )],[refute_0_221,refute_0_227]) ).
cnf(refute_0_229,plain,
difference(Y,difference(Y,difference(Y,X_23))) = difference(Y,X_23),
inference(resolve,[$cnf( $equal(difference(Y,difference(Y,difference(Y,difference(Y,difference(Y,X_23))))),difference(Y,difference(difference(X_23,difference(X_23,Y)),difference(difference(X_23,difference(X_23,Y)),Y)))) )],[refute_0_193,refute_0_228]) ).
cnf(refute_0_230,plain,
difference(X_22,difference(X_22,difference(X_22,difference(X,Z)))) = difference(X_22,difference(X,Z)),
inference(subst,[],[refute_0_229:[bind(Y,$fot(X_22)),bind(X_23,$fot(difference(X,Z)))]]) ).
cnf(refute_0_231,plain,
( difference(X_22,difference(X_22,difference(X_22,difference(X,Z)))) != difference(X_22,difference(X,Z))
| difference(X_22,difference(X_22,difference(X_22,difference(X,Z)))) != difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z)))
| difference(X_22,difference(X,Z)) = difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(X_22,difference(X_22,difference(X_22,difference(X,Z)))),difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z)))) ),[0],$fot(difference(X_22,difference(X,Z)))]]) ).
cnf(refute_0_232,plain,
( difference(X_22,difference(X_22,difference(X_22,difference(X,Z)))) != difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z)))
| difference(X_22,difference(X,Z)) = difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z))) ),
inference(resolve,[$cnf( $equal(difference(X_22,difference(X_22,difference(X_22,difference(X,Z)))),difference(X_22,difference(X,Z))) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
difference(X_22,difference(X,Z)) = difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z))),
inference(resolve,[$cnf( $equal(difference(X_22,difference(X_22,difference(X_22,difference(X,Z)))),difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z)))) )],[refute_0_187,refute_0_232]) ).
cnf(refute_0_234,plain,
difference(difference(X_37,X_36),difference(X_37,X_38)) = difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_37,X_38),difference(X_37,X_36)))),
inference(subst,[],[refute_0_95:[bind(Y,$fot(difference(X_37,X_36))),bind(X_23,$fot(difference(X_37,X_38)))]]) ).
cnf(refute_0_235,plain,
difference(difference(X_36,difference(X_36,X_37)),X_38) = difference(difference(X_37,X_38),difference(X_37,X_36)),
inference(subst,[],[refute_0_15:[bind(X,$fot(X_36)),bind(X_6,$fot(X_37)),bind(X_8,$fot(X_38))]]) ).
cnf(refute_0_236,plain,
( difference(difference(X_36,difference(X_36,X_37)),X_38) != difference(difference(X_37,X_38),difference(X_37,X_36))
| difference(difference(X_37,X_38),difference(X_37,X_36)) = difference(difference(X_36,difference(X_36,X_37)),X_38) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(difference(X_36,difference(X_36,X_37)),X_38))),bind(Y0,$fot(difference(difference(X_37,X_38),difference(X_37,X_36))))]]) ).
cnf(refute_0_237,plain,
difference(difference(X_37,X_38),difference(X_37,X_36)) = difference(difference(X_36,difference(X_36,X_37)),X_38),
inference(resolve,[$cnf( $equal(difference(difference(X_36,difference(X_36,X_37)),X_38),difference(difference(X_37,X_38),difference(X_37,X_36))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
( difference(difference(X_37,X_36),difference(X_37,X_38)) != difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_37,X_38),difference(X_37,X_36))))
| difference(difference(X_37,X_38),difference(X_37,X_36)) != difference(difference(X_36,difference(X_36,X_37)),X_38)
| difference(difference(X_37,X_36),difference(X_37,X_38)) = difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_37,X_36),difference(X_37,X_38)),difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_37,X_38),difference(X_37,X_36))))) ),[1,1,1],$fot(difference(difference(X_36,difference(X_36,X_37)),X_38))]]) ).
cnf(refute_0_239,plain,
( difference(difference(X_37,X_36),difference(X_37,X_38)) != difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_37,X_38),difference(X_37,X_36))))
| difference(difference(X_37,X_36),difference(X_37,X_38)) = difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_37,X_38),difference(X_37,X_36)),difference(difference(X_36,difference(X_36,X_37)),X_38)) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
difference(difference(X_37,X_36),difference(X_37,X_38)) = difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38))),
inference(resolve,[$cnf( $equal(difference(difference(X_37,X_36),difference(X_37,X_38)),difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_37,X_38),difference(X_37,X_36))))) )],[refute_0_234,refute_0_239]) ).
cnf(refute_0_241,plain,
difference(difference(X_37,X_36),difference(difference(X_37,X_36),difference(X_37,X_38))) = difference(difference(X_37,X_38),difference(difference(X_37,X_38),difference(X_37,X_36))),
inference(subst,[],[set_difference_2:[bind(X,$fot(difference(X_37,X_36))),bind(Y,$fot(difference(X_37,X_38)))]]) ).
cnf(refute_0_242,plain,
( difference(difference(X_37,X_36),difference(difference(X_37,X_36),difference(X_37,X_38))) != difference(difference(X_37,X_38),difference(difference(X_37,X_38),difference(X_37,X_36)))
| difference(difference(X_37,X_38),difference(X_37,X_36)) != difference(difference(X_36,difference(X_36,X_37)),X_38)
| difference(difference(X_37,X_36),difference(difference(X_37,X_36),difference(X_37,X_38))) = difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_37,X_36),difference(difference(X_37,X_36),difference(X_37,X_38))),difference(difference(X_37,X_38),difference(difference(X_37,X_38),difference(X_37,X_36)))) ),[1,1],$fot(difference(difference(X_36,difference(X_36,X_37)),X_38))]]) ).
cnf(refute_0_243,plain,
( difference(difference(X_37,X_36),difference(difference(X_37,X_36),difference(X_37,X_38))) != difference(difference(X_37,X_38),difference(difference(X_37,X_38),difference(X_37,X_36)))
| difference(difference(X_37,X_36),difference(difference(X_37,X_36),difference(X_37,X_38))) = difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38)) ),
inference(resolve,[$cnf( $equal(difference(difference(X_37,X_38),difference(X_37,X_36)),difference(difference(X_36,difference(X_36,X_37)),X_38)) )],[refute_0_237,refute_0_242]) ).
cnf(refute_0_244,plain,
difference(difference(X_37,X_36),difference(difference(X_37,X_36),difference(X_37,X_38))) = difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38)),
inference(resolve,[$cnf( $equal(difference(difference(X_37,X_36),difference(difference(X_37,X_36),difference(X_37,X_38))),difference(difference(X_37,X_38),difference(difference(X_37,X_38),difference(X_37,X_36)))) )],[refute_0_241,refute_0_243]) ).
cnf(refute_0_245,plain,
difference(difference(difference(X_109,X_112),X_110),difference(difference(difference(X_109,X_112),X_110),difference(X_109,X_110))) = difference(difference(difference(X_109,X_110),difference(difference(X_109,X_110),difference(difference(X_109,X_112),X_110))),difference(X_24,difference(difference(X_109,X_112),X_110))),
inference(subst,[],[refute_0_31:[bind(X,$fot(difference(X_109,X_110))),bind(X_25,$fot(difference(difference(X_109,X_112),X_110)))]]) ).
cnf(refute_0_246,plain,
difference(difference(X,Z),X_26) = difference(difference(difference(X,Z),X_26),difference(X_24,difference(X,Z))),
inference(subst,[],[refute_0_24:[bind(Y,$fot(X_24)),bind(X_6,$fot(difference(X,Z))),bind(X_8,$fot(X_26))]]) ).
cnf(refute_0_247,plain,
difference(difference(X,X_26),Z) = difference(difference(X,Z),X_26),
inference(subst,[],[set_difference_3_simplified:[bind(Y,$fot(X_26))]]) ).
cnf(refute_0_248,plain,
( difference(difference(X,X_26),Z) != difference(difference(X,Z),X_26)
| difference(difference(X,Z),X_26) = difference(difference(X,X_26),Z) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(difference(X,X_26),Z))),bind(Y0,$fot(difference(difference(X,Z),X_26)))]]) ).
cnf(refute_0_249,plain,
difference(difference(X,Z),X_26) = difference(difference(X,X_26),Z),
inference(resolve,[$cnf( $equal(difference(difference(X,X_26),Z),difference(difference(X,Z),X_26)) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
( difference(difference(X,Z),X_26) != difference(difference(X,X_26),Z)
| difference(difference(X,Z),X_26) != difference(difference(difference(X,Z),X_26),difference(X_24,difference(X,Z)))
| difference(difference(X,Z),X_26) = difference(difference(difference(X,X_26),Z),difference(X_24,difference(X,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X,Z),X_26),difference(difference(difference(X,Z),X_26),difference(X_24,difference(X,Z)))) ),[1,0],$fot(difference(difference(X,X_26),Z))]]) ).
cnf(refute_0_251,plain,
( difference(difference(X,Z),X_26) != difference(difference(difference(X,Z),X_26),difference(X_24,difference(X,Z)))
| difference(difference(X,Z),X_26) = difference(difference(difference(X,X_26),Z),difference(X_24,difference(X,Z))) ),
inference(resolve,[$cnf( $equal(difference(difference(X,Z),X_26),difference(difference(X,X_26),Z)) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
difference(difference(X,Z),X_26) = difference(difference(difference(X,X_26),Z),difference(X_24,difference(X,Z))),
inference(resolve,[$cnf( $equal(difference(difference(X,Z),X_26),difference(difference(difference(X,Z),X_26),difference(X_24,difference(X,Z)))) )],[refute_0_246,refute_0_251]) ).
cnf(refute_0_253,plain,
difference(difference(X_109,X_110),X_112) = difference(difference(difference(X_109,X_112),X_110),difference(difference(difference(X_109,X_112),X_110),difference(X_109,X_110))),
inference(subst,[],[refute_0_252:[bind(X,$fot(X_109)),bind(Z,$fot(X_110)),bind(X_24,$fot(difference(difference(X_109,X_112),X_110))),bind(X_26,$fot(X_112))]]) ).
cnf(refute_0_254,plain,
( difference(difference(X_109,X_110),X_112) != difference(difference(difference(X_109,X_112),X_110),difference(difference(difference(X_109,X_112),X_110),difference(X_109,X_110)))
| difference(difference(difference(X_109,X_112),X_110),difference(difference(difference(X_109,X_112),X_110),difference(X_109,X_110))) = difference(difference(X_109,X_110),X_112) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(difference(X_109,X_110),X_112))),bind(Y0,$fot(difference(difference(difference(X_109,X_112),X_110),difference(difference(difference(X_109,X_112),X_110),difference(X_109,X_110)))))]]) ).
cnf(refute_0_255,plain,
difference(difference(difference(X_109,X_112),X_110),difference(difference(difference(X_109,X_112),X_110),difference(X_109,X_110))) = difference(difference(X_109,X_110),X_112),
inference(resolve,[$cnf( $equal(difference(difference(X_109,X_110),X_112),difference(difference(difference(X_109,X_112),X_110),difference(difference(difference(X_109,X_112),X_110),difference(X_109,X_110)))) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
( difference(difference(difference(X_109,X_112),X_110),difference(difference(difference(X_109,X_112),X_110),difference(X_109,X_110))) != difference(difference(X_109,X_110),X_112)
| difference(difference(difference(X_109,X_112),X_110),difference(difference(difference(X_109,X_112),X_110),difference(X_109,X_110))) != difference(difference(difference(X_109,X_110),difference(difference(X_109,X_110),difference(difference(X_109,X_112),X_110))),difference(X_24,difference(difference(X_109,X_112),X_110)))
| difference(difference(X_109,X_110),X_112) = difference(difference(difference(X_109,X_110),difference(difference(X_109,X_110),difference(difference(X_109,X_112),X_110))),difference(X_24,difference(difference(X_109,X_112),X_110))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(difference(X_109,X_112),X_110),difference(difference(difference(X_109,X_112),X_110),difference(X_109,X_110))),difference(difference(difference(X_109,X_110),difference(difference(X_109,X_110),difference(difference(X_109,X_112),X_110))),difference(X_24,difference(difference(X_109,X_112),X_110)))) ),[0],$fot(difference(difference(X_109,X_110),X_112))]]) ).
cnf(refute_0_257,plain,
( difference(difference(difference(X_109,X_112),X_110),difference(difference(difference(X_109,X_112),X_110),difference(X_109,X_110))) != difference(difference(difference(X_109,X_110),difference(difference(X_109,X_110),difference(difference(X_109,X_112),X_110))),difference(X_24,difference(difference(X_109,X_112),X_110)))
| difference(difference(X_109,X_110),X_112) = difference(difference(difference(X_109,X_110),difference(difference(X_109,X_110),difference(difference(X_109,X_112),X_110))),difference(X_24,difference(difference(X_109,X_112),X_110))) ),
inference(resolve,[$cnf( $equal(difference(difference(difference(X_109,X_112),X_110),difference(difference(difference(X_109,X_112),X_110),difference(X_109,X_110))),difference(difference(X_109,X_110),X_112)) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
difference(difference(X_109,X_110),X_112) = difference(difference(difference(X_109,X_110),difference(difference(X_109,X_110),difference(difference(X_109,X_112),X_110))),difference(X_24,difference(difference(X_109,X_112),X_110))),
inference(resolve,[$cnf( $equal(difference(difference(difference(X_109,X_112),X_110),difference(difference(difference(X_109,X_112),X_110),difference(X_109,X_110))),difference(difference(difference(X_109,X_110),difference(difference(X_109,X_110),difference(difference(X_109,X_112),X_110))),difference(X_24,difference(difference(X_109,X_112),X_110)))) )],[refute_0_245,refute_0_257]) ).
cnf(refute_0_259,plain,
difference(difference(X_86,X_25),difference(X_86,difference(X_24,X_25))) = difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(difference(X_86,difference(X_86,X_25)),difference(X_24,X_25)))),
inference(subst,[],[refute_0_233:[bind(X,$fot(X_86)),bind(Z,$fot(difference(X_24,X_25))),bind(X_22,$fot(difference(X_86,X_25)))]]) ).
cnf(refute_0_260,plain,
difference(X_25,difference(X_25,X_86)) = difference(difference(X_86,difference(X_86,X_25)),difference(X_24,X_25)),
inference(subst,[],[refute_0_31:[bind(X,$fot(X_86))]]) ).
cnf(refute_0_261,plain,
( difference(X_25,difference(X_25,X_86)) != difference(difference(X_86,difference(X_86,X_25)),difference(X_24,X_25))
| difference(difference(X_86,difference(X_86,X_25)),difference(X_24,X_25)) = difference(X_25,difference(X_25,X_86)) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(X_25,difference(X_25,X_86)))),bind(Y0,$fot(difference(difference(X_86,difference(X_86,X_25)),difference(X_24,X_25))))]]) ).
cnf(refute_0_262,plain,
difference(difference(X_86,difference(X_86,X_25)),difference(X_24,X_25)) = difference(X_25,difference(X_25,X_86)),
inference(resolve,[$cnf( $equal(difference(X_25,difference(X_25,X_86)),difference(difference(X_86,difference(X_86,X_25)),difference(X_24,X_25))) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
( difference(difference(X_86,X_25),difference(X_86,difference(X_24,X_25))) != difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(difference(X_86,difference(X_86,X_25)),difference(X_24,X_25))))
| difference(difference(X_86,difference(X_86,X_25)),difference(X_24,X_25)) != difference(X_25,difference(X_25,X_86))
| difference(difference(X_86,X_25),difference(X_86,difference(X_24,X_25))) = difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86)))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_86,X_25),difference(X_86,difference(X_24,X_25))),difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(difference(X_86,difference(X_86,X_25)),difference(X_24,X_25))))) ),[1,1,1],$fot(difference(X_25,difference(X_25,X_86)))]]) ).
cnf(refute_0_264,plain,
( difference(difference(X_86,X_25),difference(X_86,difference(X_24,X_25))) != difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(difference(X_86,difference(X_86,X_25)),difference(X_24,X_25))))
| difference(difference(X_86,X_25),difference(X_86,difference(X_24,X_25))) = difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86)))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_86,difference(X_86,X_25)),difference(X_24,X_25)),difference(X_25,difference(X_25,X_86))) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
difference(difference(X_86,X_25),difference(X_86,difference(X_24,X_25))) = difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86)))),
inference(resolve,[$cnf( $equal(difference(difference(X_86,X_25),difference(X_86,difference(X_24,X_25))),difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(difference(X_86,difference(X_86,X_25)),difference(X_24,X_25))))) )],[refute_0_259,refute_0_264]) ).
cnf(refute_0_266,plain,
difference(difference(X_45,difference(X_45,difference(X_47,X_23))),X_23) = difference(difference(X_45,difference(X_45,difference(X_47,X_23))),difference(X_23,difference(X_23,difference(X_45,difference(X_45,difference(X_47,X_23)))))),
inference(subst,[],[refute_0_95:[bind(Y,$fot(difference(X_45,difference(X_45,difference(X_47,X_23)))))]]) ).
cnf(refute_0_267,plain,
difference(X_15,difference(difference(X_16,X_15),difference(difference(X_16,X_15),X))) = X_15,
inference(subst,[],[refute_0_54:[bind(X,$fot(X_15)),bind(X_6,$fot(X_16)),bind(X_7,$fot(difference(difference(X_16,X_15),X)))]]) ).
cnf(refute_0_268,plain,
difference(X,difference(X,difference(X_16,X_15))) = difference(difference(X_16,X_15),difference(difference(X_16,X_15),X)),
inference(subst,[],[set_difference_2:[bind(Y,$fot(difference(X_16,X_15)))]]) ).
cnf(refute_0_269,plain,
( difference(X,difference(X,difference(X_16,X_15))) != difference(difference(X_16,X_15),difference(difference(X_16,X_15),X))
| difference(difference(X_16,X_15),difference(difference(X_16,X_15),X)) = difference(X,difference(X,difference(X_16,X_15))) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(X,difference(X,difference(X_16,X_15))))),bind(Y0,$fot(difference(difference(X_16,X_15),difference(difference(X_16,X_15),X))))]]) ).
cnf(refute_0_270,plain,
difference(difference(X_16,X_15),difference(difference(X_16,X_15),X)) = difference(X,difference(X,difference(X_16,X_15))),
inference(resolve,[$cnf( $equal(difference(X,difference(X,difference(X_16,X_15))),difference(difference(X_16,X_15),difference(difference(X_16,X_15),X))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
( difference(X_15,difference(difference(X_16,X_15),difference(difference(X_16,X_15),X))) != X_15
| difference(difference(X_16,X_15),difference(difference(X_16,X_15),X)) != difference(X,difference(X,difference(X_16,X_15)))
| difference(X_15,difference(X,difference(X,difference(X_16,X_15)))) = X_15 ),
introduced(tautology,[equality,[$cnf( $equal(difference(X_15,difference(difference(X_16,X_15),difference(difference(X_16,X_15),X))),X_15) ),[0,1],$fot(difference(X,difference(X,difference(X_16,X_15))))]]) ).
cnf(refute_0_272,plain,
( difference(X_15,difference(difference(X_16,X_15),difference(difference(X_16,X_15),X))) != X_15
| difference(X_15,difference(X,difference(X,difference(X_16,X_15)))) = X_15 ),
inference(resolve,[$cnf( $equal(difference(difference(X_16,X_15),difference(difference(X_16,X_15),X)),difference(X,difference(X,difference(X_16,X_15)))) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
difference(X_15,difference(X,difference(X,difference(X_16,X_15)))) = X_15,
inference(resolve,[$cnf( $equal(difference(X_15,difference(difference(X_16,X_15),difference(difference(X_16,X_15),X))),X_15) )],[refute_0_267,refute_0_272]) ).
cnf(refute_0_274,plain,
difference(X_23,difference(X_45,difference(X_45,difference(X_47,X_23)))) = X_23,
inference(subst,[],[refute_0_273:[bind(X,$fot(X_45)),bind(X_15,$fot(X_23)),bind(X_16,$fot(X_47))]]) ).
cnf(refute_0_275,plain,
( difference(X_23,difference(X_45,difference(X_45,difference(X_47,X_23)))) != X_23
| difference(difference(X_45,difference(X_45,difference(X_47,X_23))),X_23) != difference(difference(X_45,difference(X_45,difference(X_47,X_23))),difference(X_23,difference(X_23,difference(X_45,difference(X_45,difference(X_47,X_23))))))
| difference(difference(X_45,difference(X_45,difference(X_47,X_23))),X_23) = difference(difference(X_45,difference(X_45,difference(X_47,X_23))),difference(X_23,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_45,difference(X_45,difference(X_47,X_23))),X_23),difference(difference(X_45,difference(X_45,difference(X_47,X_23))),difference(X_23,difference(X_23,difference(X_45,difference(X_45,difference(X_47,X_23))))))) ),[1,1,1],$fot(X_23)]]) ).
cnf(refute_0_276,plain,
( difference(difference(X_45,difference(X_45,difference(X_47,X_23))),X_23) != difference(difference(X_45,difference(X_45,difference(X_47,X_23))),difference(X_23,difference(X_23,difference(X_45,difference(X_45,difference(X_47,X_23))))))
| difference(difference(X_45,difference(X_45,difference(X_47,X_23))),X_23) = difference(difference(X_45,difference(X_45,difference(X_47,X_23))),difference(X_23,X_23)) ),
inference(resolve,[$cnf( $equal(difference(X_23,difference(X_45,difference(X_45,difference(X_47,X_23)))),X_23) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
difference(difference(X_45,difference(X_45,difference(X_47,X_23))),X_23) = difference(difference(X_45,difference(X_45,difference(X_47,X_23))),difference(X_23,X_23)),
inference(resolve,[$cnf( $equal(difference(difference(X_45,difference(X_45,difference(X_47,X_23))),X_23),difference(difference(X_45,difference(X_45,difference(X_47,X_23))),difference(X_23,difference(X_23,difference(X_45,difference(X_45,difference(X_47,X_23))))))) )],[refute_0_266,refute_0_276]) ).
cnf(refute_0_278,plain,
difference(difference(X_45,difference(X_45,difference(X_47,X_23))),X_23) = difference(difference(X_45,X_23),difference(X_45,difference(X_47,X_23))),
inference(subst,[],[refute_0_65:[bind(X,$fot(X_45)),bind(Z,$fot(difference(X_45,difference(X_47,X_23)))),bind(X_14,$fot(X_23))]]) ).
cnf(refute_0_279,plain,
( difference(difference(X_45,difference(X_45,difference(X_47,X_23))),X_23) != difference(difference(X_45,X_23),difference(X_45,difference(X_47,X_23)))
| difference(difference(X_45,difference(X_45,difference(X_47,X_23))),X_23) != difference(difference(X_45,difference(X_45,difference(X_47,X_23))),difference(X_23,X_23))
| difference(difference(X_45,X_23),difference(X_45,difference(X_47,X_23))) = difference(difference(X_45,difference(X_45,difference(X_47,X_23))),difference(X_23,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_45,difference(X_45,difference(X_47,X_23))),X_23),difference(difference(X_45,difference(X_45,difference(X_47,X_23))),difference(X_23,X_23))) ),[0],$fot(difference(difference(X_45,X_23),difference(X_45,difference(X_47,X_23))))]]) ).
cnf(refute_0_280,plain,
( difference(difference(X_45,difference(X_45,difference(X_47,X_23))),X_23) != difference(difference(X_45,difference(X_45,difference(X_47,X_23))),difference(X_23,X_23))
| difference(difference(X_45,X_23),difference(X_45,difference(X_47,X_23))) = difference(difference(X_45,difference(X_45,difference(X_47,X_23))),difference(X_23,X_23)) ),
inference(resolve,[$cnf( $equal(difference(difference(X_45,difference(X_45,difference(X_47,X_23))),X_23),difference(difference(X_45,X_23),difference(X_45,difference(X_47,X_23)))) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
difference(difference(X_45,difference(X_45,difference(X_47,X_23))),difference(X_23,X_23)) = difference(X_45,difference(X_45,difference(X_47,X_23))),
inference(subst,[],[refute_0_148:[bind(X,$fot(difference(X_45,difference(X_45,difference(X_47,X_23))))),bind(X_12,$fot(X_23))]]) ).
cnf(refute_0_282,plain,
( difference(difference(X_45,X_23),difference(X_45,difference(X_47,X_23))) != difference(difference(X_45,difference(X_45,difference(X_47,X_23))),difference(X_23,X_23))
| difference(difference(X_45,difference(X_45,difference(X_47,X_23))),difference(X_23,X_23)) != difference(X_45,difference(X_45,difference(X_47,X_23)))
| difference(difference(X_45,X_23),difference(X_45,difference(X_47,X_23))) = difference(X_45,difference(X_45,difference(X_47,X_23))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(difference(difference(X_45,X_23),difference(X_45,difference(X_47,X_23))),difference(X_45,difference(X_45,difference(X_47,X_23)))) ),[0],$fot(difference(difference(X_45,difference(X_45,difference(X_47,X_23))),difference(X_23,X_23)))]]) ).
cnf(refute_0_283,plain,
( difference(difference(X_45,X_23),difference(X_45,difference(X_47,X_23))) != difference(difference(X_45,difference(X_45,difference(X_47,X_23))),difference(X_23,X_23))
| difference(difference(X_45,X_23),difference(X_45,difference(X_47,X_23))) = difference(X_45,difference(X_45,difference(X_47,X_23))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_45,difference(X_45,difference(X_47,X_23))),difference(X_23,X_23)),difference(X_45,difference(X_45,difference(X_47,X_23)))) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
( difference(difference(X_45,difference(X_45,difference(X_47,X_23))),X_23) != difference(difference(X_45,difference(X_45,difference(X_47,X_23))),difference(X_23,X_23))
| difference(difference(X_45,X_23),difference(X_45,difference(X_47,X_23))) = difference(X_45,difference(X_45,difference(X_47,X_23))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_45,X_23),difference(X_45,difference(X_47,X_23))),difference(difference(X_45,difference(X_45,difference(X_47,X_23))),difference(X_23,X_23))) )],[refute_0_280,refute_0_283]) ).
cnf(refute_0_285,plain,
difference(difference(X_45,X_23),difference(X_45,difference(X_47,X_23))) = difference(X_45,difference(X_45,difference(X_47,X_23))),
inference(resolve,[$cnf( $equal(difference(difference(X_45,difference(X_45,difference(X_47,X_23))),X_23),difference(difference(X_45,difference(X_45,difference(X_47,X_23))),difference(X_23,X_23))) )],[refute_0_277,refute_0_284]) ).
cnf(refute_0_286,plain,
difference(difference(X_86,X_25),difference(X_86,difference(X_24,X_25))) = difference(X_86,difference(X_86,difference(X_24,X_25))),
inference(subst,[],[refute_0_285:[bind(X_23,$fot(X_25)),bind(X_45,$fot(X_86)),bind(X_47,$fot(X_24))]]) ).
cnf(refute_0_287,plain,
( difference(difference(X_86,X_25),difference(X_86,difference(X_24,X_25))) != difference(X_86,difference(X_86,difference(X_24,X_25)))
| difference(difference(X_86,X_25),difference(X_86,difference(X_24,X_25))) != difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86))))
| difference(X_86,difference(X_86,difference(X_24,X_25))) = difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86)))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_86,X_25),difference(X_86,difference(X_24,X_25))),difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86))))) ),[0],$fot(difference(X_86,difference(X_86,difference(X_24,X_25))))]]) ).
cnf(refute_0_288,plain,
( difference(difference(X_86,X_25),difference(X_86,difference(X_24,X_25))) != difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86))))
| difference(X_86,difference(X_86,difference(X_24,X_25))) = difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86)))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_86,X_25),difference(X_86,difference(X_24,X_25))),difference(X_86,difference(X_86,difference(X_24,X_25)))) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
difference(difference(X,Y),difference(X_23,difference(X_23,X))) = difference(difference(X,difference(X_23,difference(X_23,X))),Y),
inference(subst,[],[set_difference_3_simplified:[bind(Z,$fot(difference(X_23,difference(X_23,X))))]]) ).
cnf(refute_0_290,plain,
difference(X,difference(X,difference(X,X_23))) = difference(X,difference(X_23,difference(X_23,X))),
inference(subst,[],[refute_0_76:[bind(Y,$fot(X)),bind(X_5,$fot(X_23))]]) ).
cnf(refute_0_291,plain,
( difference(X,difference(X,difference(X,X_23))) != difference(X,difference(X_23,difference(X_23,X)))
| difference(X,difference(X_23,difference(X_23,X))) = difference(X,difference(X,difference(X,X_23))) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(X,difference(X,difference(X,X_23))))),bind(Y0,$fot(difference(X,difference(X_23,difference(X_23,X)))))]]) ).
cnf(refute_0_292,plain,
difference(X,difference(X_23,difference(X_23,X))) = difference(X,difference(X,difference(X,X_23))),
inference(resolve,[$cnf( $equal(difference(X,difference(X,difference(X,X_23))),difference(X,difference(X_23,difference(X_23,X)))) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
( difference(X,difference(X_23,difference(X_23,X))) != difference(X,difference(X,difference(X,X_23)))
| difference(difference(X,Y),difference(X_23,difference(X_23,X))) != difference(difference(X,difference(X_23,difference(X_23,X))),Y)
| difference(difference(X,Y),difference(X_23,difference(X_23,X))) = difference(difference(X,difference(X,difference(X,X_23))),Y) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X,Y),difference(X_23,difference(X_23,X))),difference(difference(X,difference(X_23,difference(X_23,X))),Y)) ),[1,0],$fot(difference(X,difference(X,difference(X,X_23))))]]) ).
cnf(refute_0_294,plain,
( difference(difference(X,Y),difference(X_23,difference(X_23,X))) != difference(difference(X,difference(X_23,difference(X_23,X))),Y)
| difference(difference(X,Y),difference(X_23,difference(X_23,X))) = difference(difference(X,difference(X,difference(X,X_23))),Y) ),
inference(resolve,[$cnf( $equal(difference(X,difference(X_23,difference(X_23,X))),difference(X,difference(X,difference(X,X_23)))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
difference(difference(X,Y),difference(X_23,difference(X_23,X))) = difference(difference(X,difference(X,difference(X,X_23))),Y),
inference(resolve,[$cnf( $equal(difference(difference(X,Y),difference(X_23,difference(X_23,X))),difference(difference(X,difference(X_23,difference(X_23,X))),Y)) )],[refute_0_289,refute_0_294]) ).
cnf(refute_0_296,plain,
difference(X,difference(X,difference(X,X_23))) = difference(X,X_23),
inference(subst,[],[refute_0_229:[bind(Y,$fot(X))]]) ).
cnf(refute_0_297,plain,
difference(difference(X,difference(X,difference(X,X_23))),Y) = difference(difference(X,difference(X,difference(X,X_23))),Y),
introduced(tautology,[refl,[$fot(difference(difference(X,difference(X,difference(X,X_23))),Y))]]) ).
cnf(refute_0_298,plain,
( difference(X,difference(X,difference(X,X_23))) != difference(X,X_23)
| difference(difference(X,difference(X,difference(X,X_23))),Y) != difference(difference(X,difference(X,difference(X,X_23))),Y)
| difference(difference(X,difference(X,difference(X,X_23))),Y) = difference(difference(X,X_23),Y) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X,difference(X,difference(X,X_23))),Y),difference(difference(X,difference(X,difference(X,X_23))),Y)) ),[1,0],$fot(difference(X,X_23))]]) ).
cnf(refute_0_299,plain,
( difference(X,difference(X,difference(X,X_23))) != difference(X,X_23)
| difference(difference(X,difference(X,difference(X,X_23))),Y) = difference(difference(X,X_23),Y) ),
inference(resolve,[$cnf( $equal(difference(difference(X,difference(X,difference(X,X_23))),Y),difference(difference(X,difference(X,difference(X,X_23))),Y)) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
difference(difference(X,difference(X,difference(X,X_23))),Y) = difference(difference(X,X_23),Y),
inference(resolve,[$cnf( $equal(difference(X,difference(X,difference(X,X_23))),difference(X,X_23)) )],[refute_0_296,refute_0_299]) ).
cnf(refute_0_301,plain,
( difference(difference(X,Y),difference(X_23,difference(X_23,X))) != difference(difference(X,difference(X,difference(X,X_23))),Y)
| difference(difference(X,difference(X,difference(X,X_23))),Y) != difference(difference(X,X_23),Y)
| difference(difference(X,Y),difference(X_23,difference(X_23,X))) = difference(difference(X,X_23),Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(difference(difference(X,Y),difference(X_23,difference(X_23,X))),difference(difference(X,X_23),Y)) ),[0],$fot(difference(difference(X,difference(X,difference(X,X_23))),Y))]]) ).
cnf(refute_0_302,plain,
( difference(difference(X,Y),difference(X_23,difference(X_23,X))) != difference(difference(X,difference(X,difference(X,X_23))),Y)
| difference(difference(X,Y),difference(X_23,difference(X_23,X))) = difference(difference(X,X_23),Y) ),
inference(resolve,[$cnf( $equal(difference(difference(X,difference(X,difference(X,X_23))),Y),difference(difference(X,X_23),Y)) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
difference(difference(X,Y),difference(X_23,difference(X_23,X))) = difference(difference(X,X_23),Y),
inference(resolve,[$cnf( $equal(difference(difference(X,Y),difference(X_23,difference(X_23,X))),difference(difference(X,difference(X,difference(X,X_23))),Y)) )],[refute_0_295,refute_0_302]) ).
cnf(refute_0_304,plain,
difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86))) = difference(difference(X_86,X_25),difference(X_24,X_25)),
inference(subst,[],[refute_0_303:[bind(X,$fot(X_86)),bind(Y,$fot(difference(X_24,X_25))),bind(X_23,$fot(X_25))]]) ).
cnf(refute_0_305,plain,
difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86)))) = difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86)))),
introduced(tautology,[refl,[$fot(difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86)))))]]) ).
cnf(refute_0_306,plain,
( difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86)))) != difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86))))
| difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86))) != difference(difference(X_86,X_25),difference(X_24,X_25))
| difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86)))) = difference(difference(X_86,X_25),difference(difference(X_86,X_25),difference(X_24,X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86)))),difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86))))) ),[1,1],$fot(difference(difference(X_86,X_25),difference(X_24,X_25)))]]) ).
cnf(refute_0_307,plain,
( difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86))) != difference(difference(X_86,X_25),difference(X_24,X_25))
| difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86)))) = difference(difference(X_86,X_25),difference(difference(X_86,X_25),difference(X_24,X_25))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86)))),difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86))))) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86)))) = difference(difference(X_86,X_25),difference(difference(X_86,X_25),difference(X_24,X_25))),
inference(resolve,[$cnf( $equal(difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86))),difference(difference(X_86,X_25),difference(X_24,X_25))) )],[refute_0_304,refute_0_307]) ).
cnf(refute_0_309,plain,
( difference(X_86,difference(X_86,difference(X_24,X_25))) != difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86))))
| difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86)))) != difference(difference(X_86,X_25),difference(difference(X_86,X_25),difference(X_24,X_25)))
| difference(X_86,difference(X_86,difference(X_24,X_25))) = difference(difference(X_86,X_25),difference(difference(X_86,X_25),difference(X_24,X_25))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(difference(X_86,difference(X_86,difference(X_24,X_25))),difference(difference(X_86,X_25),difference(difference(X_86,X_25),difference(X_24,X_25)))) ),[0],$fot(difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86)))))]]) ).
cnf(refute_0_310,plain,
( difference(X_86,difference(X_86,difference(X_24,X_25))) != difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86))))
| difference(X_86,difference(X_86,difference(X_24,X_25))) = difference(difference(X_86,X_25),difference(difference(X_86,X_25),difference(X_24,X_25))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86)))),difference(difference(X_86,X_25),difference(difference(X_86,X_25),difference(X_24,X_25)))) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
( difference(difference(X_86,X_25),difference(X_86,difference(X_24,X_25))) != difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86))))
| difference(X_86,difference(X_86,difference(X_24,X_25))) = difference(difference(X_86,X_25),difference(difference(X_86,X_25),difference(X_24,X_25))) ),
inference(resolve,[$cnf( $equal(difference(X_86,difference(X_86,difference(X_24,X_25))),difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86))))) )],[refute_0_288,refute_0_310]) ).
cnf(refute_0_312,plain,
difference(X_86,difference(X_86,difference(X_24,X_25))) = difference(difference(X_86,X_25),difference(difference(X_86,X_25),difference(X_24,X_25))),
inference(resolve,[$cnf( $equal(difference(difference(X_86,X_25),difference(X_86,difference(X_24,X_25))),difference(difference(X_86,X_25),difference(difference(X_86,difference(X_24,X_25)),difference(X_25,difference(X_25,X_86))))) )],[refute_0_265,refute_0_311]) ).
cnf(refute_0_313,plain,
( difference(X_86,difference(X_86,difference(X_24,X_25))) != difference(difference(X_86,X_25),difference(difference(X_86,X_25),difference(X_24,X_25)))
| difference(difference(X_86,X_25),difference(difference(X_86,X_25),difference(X_24,X_25))) = difference(X_86,difference(X_86,difference(X_24,X_25))) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(X_86,difference(X_86,difference(X_24,X_25))))),bind(Y0,$fot(difference(difference(X_86,X_25),difference(difference(X_86,X_25),difference(X_24,X_25)))))]]) ).
cnf(refute_0_314,plain,
difference(difference(X_86,X_25),difference(difference(X_86,X_25),difference(X_24,X_25))) = difference(X_86,difference(X_86,difference(X_24,X_25))),
inference(resolve,[$cnf( $equal(difference(X_86,difference(X_86,difference(X_24,X_25))),difference(difference(X_86,X_25),difference(difference(X_86,X_25),difference(X_24,X_25)))) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
difference(difference(difference(X_109,X_112),X_110),difference(difference(difference(X_109,X_112),X_110),difference(X_109,X_110))) = difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110))),
inference(subst,[],[refute_0_314:[bind(X_24,$fot(X_109)),bind(X_25,$fot(X_110)),bind(X_86,$fot(difference(X_109,X_112)))]]) ).
cnf(refute_0_316,plain,
( difference(X_25,difference(X_25,X)) != difference(difference(X,difference(X,X_25)),difference(X_24,X_25))
| difference(difference(X,difference(X,X_25)),difference(X_24,X_25)) = difference(X_25,difference(X_25,X)) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(X_25,difference(X_25,X)))),bind(Y0,$fot(difference(difference(X,difference(X,X_25)),difference(X_24,X_25))))]]) ).
cnf(refute_0_317,plain,
difference(difference(X,difference(X,X_25)),difference(X_24,X_25)) = difference(X_25,difference(X_25,X)),
inference(resolve,[$cnf( $equal(difference(X_25,difference(X_25,X)),difference(difference(X,difference(X,X_25)),difference(X_24,X_25))) )],[refute_0_31,refute_0_316]) ).
cnf(refute_0_318,plain,
difference(difference(difference(X_109,X_110),difference(difference(X_109,X_110),difference(difference(X_109,X_112),X_110))),difference(X_24,difference(difference(X_109,X_112),X_110))) = difference(difference(difference(X_109,X_112),X_110),difference(difference(difference(X_109,X_112),X_110),difference(X_109,X_110))),
inference(subst,[],[refute_0_317:[bind(X,$fot(difference(X_109,X_110))),bind(X_25,$fot(difference(difference(X_109,X_112),X_110)))]]) ).
cnf(refute_0_319,plain,
( difference(difference(difference(X_109,X_110),difference(difference(X_109,X_110),difference(difference(X_109,X_112),X_110))),difference(X_24,difference(difference(X_109,X_112),X_110))) != difference(difference(difference(X_109,X_112),X_110),difference(difference(difference(X_109,X_112),X_110),difference(X_109,X_110)))
| difference(difference(difference(X_109,X_112),X_110),difference(difference(difference(X_109,X_112),X_110),difference(X_109,X_110))) != difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110)))
| difference(difference(difference(X_109,X_110),difference(difference(X_109,X_110),difference(difference(X_109,X_112),X_110))),difference(X_24,difference(difference(X_109,X_112),X_110))) = difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110))) ),
inference(subst,[],[refute_0_160:[bind(X0,$fot(difference(difference(difference(X_109,X_110),difference(difference(X_109,X_110),difference(difference(X_109,X_112),X_110))),difference(X_24,difference(difference(X_109,X_112),X_110))))),bind(Y0,$fot(difference(difference(difference(X_109,X_112),X_110),difference(difference(difference(X_109,X_112),X_110),difference(X_109,X_110))))),bind(Z0,$fot(difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110)))))]]) ).
cnf(refute_0_320,plain,
( difference(difference(difference(X_109,X_112),X_110),difference(difference(difference(X_109,X_112),X_110),difference(X_109,X_110))) != difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110)))
| difference(difference(difference(X_109,X_110),difference(difference(X_109,X_110),difference(difference(X_109,X_112),X_110))),difference(X_24,difference(difference(X_109,X_112),X_110))) = difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110))) ),
inference(resolve,[$cnf( $equal(difference(difference(difference(X_109,X_110),difference(difference(X_109,X_110),difference(difference(X_109,X_112),X_110))),difference(X_24,difference(difference(X_109,X_112),X_110))),difference(difference(difference(X_109,X_112),X_110),difference(difference(difference(X_109,X_112),X_110),difference(X_109,X_110)))) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
difference(difference(difference(X_109,X_110),difference(difference(X_109,X_110),difference(difference(X_109,X_112),X_110))),difference(X_24,difference(difference(X_109,X_112),X_110))) = difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110))),
inference(resolve,[$cnf( $equal(difference(difference(difference(X_109,X_112),X_110),difference(difference(difference(X_109,X_112),X_110),difference(X_109,X_110))),difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110)))) )],[refute_0_315,refute_0_320]) ).
cnf(refute_0_322,plain,
( difference(difference(X_109,X_110),X_112) != difference(difference(difference(X_109,X_110),difference(difference(X_109,X_110),difference(difference(X_109,X_112),X_110))),difference(X_24,difference(difference(X_109,X_112),X_110)))
| difference(difference(difference(X_109,X_110),difference(difference(X_109,X_110),difference(difference(X_109,X_112),X_110))),difference(X_24,difference(difference(X_109,X_112),X_110))) != difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110)))
| difference(difference(X_109,X_110),X_112) = difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(difference(difference(X_109,X_110),X_112),difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110)))) ),[0],$fot(difference(difference(difference(X_109,X_110),difference(difference(X_109,X_110),difference(difference(X_109,X_112),X_110))),difference(X_24,difference(difference(X_109,X_112),X_110))))]]) ).
cnf(refute_0_323,plain,
( difference(difference(X_109,X_110),X_112) != difference(difference(difference(X_109,X_110),difference(difference(X_109,X_110),difference(difference(X_109,X_112),X_110))),difference(X_24,difference(difference(X_109,X_112),X_110)))
| difference(difference(X_109,X_110),X_112) = difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110))) ),
inference(resolve,[$cnf( $equal(difference(difference(difference(X_109,X_110),difference(difference(X_109,X_110),difference(difference(X_109,X_112),X_110))),difference(X_24,difference(difference(X_109,X_112),X_110))),difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110)))) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
difference(difference(X_109,X_110),X_112) = difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110))),
inference(resolve,[$cnf( $equal(difference(difference(X_109,X_110),X_112),difference(difference(difference(X_109,X_110),difference(difference(X_109,X_110),difference(difference(X_109,X_112),X_110))),difference(X_24,difference(difference(X_109,X_112),X_110)))) )],[refute_0_258,refute_0_323]) ).
cnf(refute_0_325,plain,
( difference(difference(X_109,X_110),X_112) != difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110)))
| difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110))) = difference(difference(X_109,X_110),X_112) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(difference(X_109,X_110),X_112))),bind(Y0,$fot(difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110)))))]]) ).
cnf(refute_0_326,plain,
difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110))) = difference(difference(X_109,X_110),X_112),
inference(resolve,[$cnf( $equal(difference(difference(X_109,X_110),X_112),difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110)))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
difference(difference(X_37,X_36),difference(difference(X_37,X_36),difference(X_37,X_38))) = difference(difference(X_37,X_38),X_36),
inference(subst,[],[refute_0_326:[bind(X_109,$fot(X_37)),bind(X_110,$fot(X_38)),bind(X_112,$fot(X_36))]]) ).
cnf(refute_0_328,plain,
( difference(difference(X_37,X_36),difference(difference(X_37,X_36),difference(X_37,X_38))) != difference(difference(X_37,X_38),X_36)
| difference(difference(X_37,X_36),difference(difference(X_37,X_36),difference(X_37,X_38))) != difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38))
| difference(difference(X_37,X_38),X_36) = difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_37,X_36),difference(difference(X_37,X_36),difference(X_37,X_38))),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38))) ),[0],$fot(difference(difference(X_37,X_38),X_36))]]) ).
cnf(refute_0_329,plain,
( difference(difference(X_37,X_36),difference(difference(X_37,X_36),difference(X_37,X_38))) != difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38))
| difference(difference(X_37,X_38),X_36) = difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38)) ),
inference(resolve,[$cnf( $equal(difference(difference(X_37,X_36),difference(difference(X_37,X_36),difference(X_37,X_38))),difference(difference(X_37,X_38),X_36)) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
difference(difference(X_37,X_38),X_36) = difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38)),
inference(resolve,[$cnf( $equal(difference(difference(X_37,X_36),difference(difference(X_37,X_36),difference(X_37,X_38))),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38))) )],[refute_0_244,refute_0_329]) ).
cnf(refute_0_331,plain,
( difference(difference(X_37,X_38),X_36) != difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38))
| difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38)) = difference(difference(X_37,X_38),X_36) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(difference(X_37,X_38),X_36))),bind(Y0,$fot(difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38))))]]) ).
cnf(refute_0_332,plain,
difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38)) = difference(difference(X_37,X_38),X_36),
inference(resolve,[$cnf( $equal(difference(difference(X_37,X_38),X_36),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38))) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38))) = difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38))),
introduced(tautology,[refl,[$fot(difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38))))]]) ).
cnf(refute_0_334,plain,
( difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38))) != difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38)))
| difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38)) != difference(difference(X_37,X_38),X_36)
| difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38))) = difference(difference(X_37,X_36),difference(difference(X_37,X_38),X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38))),difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38)))) ),[1,1],$fot(difference(difference(X_37,X_38),X_36))]]) ).
cnf(refute_0_335,plain,
( difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38)) != difference(difference(X_37,X_38),X_36)
| difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38))) = difference(difference(X_37,X_36),difference(difference(X_37,X_38),X_36)) ),
inference(resolve,[$cnf( $equal(difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38))),difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38)))) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38))) = difference(difference(X_37,X_36),difference(difference(X_37,X_38),X_36)),
inference(resolve,[$cnf( $equal(difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38)),difference(difference(X_37,X_38),X_36)) )],[refute_0_332,refute_0_335]) ).
cnf(refute_0_337,plain,
( difference(difference(X_37,X_36),difference(X_37,X_38)) != difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38)))
| difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38))) != difference(difference(X_37,X_36),difference(difference(X_37,X_38),X_36))
| difference(difference(X_37,X_36),difference(X_37,X_38)) = difference(difference(X_37,X_36),difference(difference(X_37,X_38),X_36)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(difference(difference(X_37,X_36),difference(X_37,X_38)),difference(difference(X_37,X_36),difference(difference(X_37,X_38),X_36))) ),[0],$fot(difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38))))]]) ).
cnf(refute_0_338,plain,
( difference(difference(X_37,X_36),difference(X_37,X_38)) != difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38)))
| difference(difference(X_37,X_36),difference(X_37,X_38)) = difference(difference(X_37,X_36),difference(difference(X_37,X_38),X_36)) ),
inference(resolve,[$cnf( $equal(difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38))),difference(difference(X_37,X_36),difference(difference(X_37,X_38),X_36))) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
difference(difference(X_37,X_36),difference(X_37,X_38)) = difference(difference(X_37,X_36),difference(difference(X_37,X_38),X_36)),
inference(resolve,[$cnf( $equal(difference(difference(X_37,X_36),difference(X_37,X_38)),difference(difference(X_37,X_36),difference(difference(X_37,X_38),difference(difference(X_36,difference(X_36,X_37)),X_38)))) )],[refute_0_240,refute_0_338]) ).
cnf(refute_0_340,plain,
( difference(difference(X_37,X_36),difference(X_37,X_38)) != difference(difference(X_37,X_36),difference(difference(X_37,X_38),X_36))
| difference(difference(X_37,X_36),difference(difference(X_37,X_38),X_36)) = difference(difference(X_37,X_36),difference(X_37,X_38)) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(difference(X_37,X_36),difference(X_37,X_38)))),bind(Y0,$fot(difference(difference(X_37,X_36),difference(difference(X_37,X_38),X_36))))]]) ).
cnf(refute_0_341,plain,
difference(difference(X_37,X_36),difference(difference(X_37,X_38),X_36)) = difference(difference(X_37,X_36),difference(X_37,X_38)),
inference(resolve,[$cnf( $equal(difference(difference(X_37,X_36),difference(X_37,X_38)),difference(difference(X_37,X_36),difference(difference(X_37,X_38),X_36))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
difference(difference(X,Z),difference(difference(X,X_22),Z)) = difference(difference(X,Z),difference(X,X_22)),
inference(subst,[],[refute_0_341:[bind(X_36,$fot(Z)),bind(X_37,$fot(X)),bind(X_38,$fot(X_22))]]) ).
cnf(refute_0_343,plain,
difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z))) = difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z))),
introduced(tautology,[refl,[$fot(difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z))))]]) ).
cnf(refute_0_344,plain,
( difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z))) != difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z)))
| difference(difference(X,Z),difference(difference(X,X_22),Z)) != difference(difference(X,Z),difference(X,X_22))
| difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z))) = difference(X_22,difference(difference(X,Z),difference(X,X_22))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z))),difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z)))) ),[1,1],$fot(difference(difference(X,Z),difference(X,X_22)))]]) ).
cnf(refute_0_345,plain,
( difference(difference(X,Z),difference(difference(X,X_22),Z)) != difference(difference(X,Z),difference(X,X_22))
| difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z))) = difference(X_22,difference(difference(X,Z),difference(X,X_22))) ),
inference(resolve,[$cnf( $equal(difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z))),difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z)))) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z))) = difference(X_22,difference(difference(X,Z),difference(X,X_22))),
inference(resolve,[$cnf( $equal(difference(difference(X,Z),difference(difference(X,X_22),Z)),difference(difference(X,Z),difference(X,X_22))) )],[refute_0_342,refute_0_345]) ).
cnf(refute_0_347,plain,
( difference(X_22,difference(X,Z)) != difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z)))
| difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z))) != difference(X_22,difference(difference(X,Z),difference(X,X_22)))
| difference(X_22,difference(X,Z)) = difference(X_22,difference(difference(X,Z),difference(X,X_22))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(difference(X_22,difference(X,Z)),difference(X_22,difference(difference(X,Z),difference(X,X_22)))) ),[0],$fot(difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z))))]]) ).
cnf(refute_0_348,plain,
( difference(X_22,difference(X,Z)) != difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z)))
| difference(X_22,difference(X,Z)) = difference(X_22,difference(difference(X,Z),difference(X,X_22))) ),
inference(resolve,[$cnf( $equal(difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z))),difference(X_22,difference(difference(X,Z),difference(X,X_22)))) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
difference(X_22,difference(X,Z)) = difference(X_22,difference(difference(X,Z),difference(X,X_22))),
inference(resolve,[$cnf( $equal(difference(X_22,difference(X,Z)),difference(X_22,difference(difference(X,Z),difference(difference(X,X_22),Z)))) )],[refute_0_233,refute_0_348]) ).
cnf(refute_0_350,plain,
difference(difference(X_40,difference(X_40,X_23)),difference(difference(X_40,difference(X_40,X_23)),difference(X_40,X_41))) = difference(difference(X_40,X_41),difference(difference(X_40,difference(X_40,difference(X_40,X_23))),X_41)),
inference(subst,[],[refute_0_4:[bind(X,$fot(difference(X_40,difference(X_40,X_23)))),bind(X_6,$fot(X_40)),bind(X_7,$fot(X_41))]]) ).
cnf(refute_0_351,plain,
difference(X_40,difference(X_40,difference(X_40,X_23))) = difference(X_40,X_23),
inference(subst,[],[refute_0_229:[bind(Y,$fot(X_40))]]) ).
cnf(refute_0_352,plain,
( difference(X_40,difference(X_40,difference(X_40,X_23))) != difference(X_40,X_23)
| difference(difference(X_40,difference(X_40,X_23)),difference(difference(X_40,difference(X_40,X_23)),difference(X_40,X_41))) != difference(difference(X_40,X_41),difference(difference(X_40,difference(X_40,difference(X_40,X_23))),X_41))
| difference(difference(X_40,difference(X_40,X_23)),difference(difference(X_40,difference(X_40,X_23)),difference(X_40,X_41))) = difference(difference(X_40,X_41),difference(difference(X_40,X_23),X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_40,difference(X_40,X_23)),difference(difference(X_40,difference(X_40,X_23)),difference(X_40,X_41))),difference(difference(X_40,X_41),difference(difference(X_40,difference(X_40,difference(X_40,X_23))),X_41))) ),[1,1,0],$fot(difference(X_40,X_23))]]) ).
cnf(refute_0_353,plain,
( difference(difference(X_40,difference(X_40,X_23)),difference(difference(X_40,difference(X_40,X_23)),difference(X_40,X_41))) != difference(difference(X_40,X_41),difference(difference(X_40,difference(X_40,difference(X_40,X_23))),X_41))
| difference(difference(X_40,difference(X_40,X_23)),difference(difference(X_40,difference(X_40,X_23)),difference(X_40,X_41))) = difference(difference(X_40,X_41),difference(difference(X_40,X_23),X_41)) ),
inference(resolve,[$cnf( $equal(difference(X_40,difference(X_40,difference(X_40,X_23))),difference(X_40,X_23)) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
difference(difference(X_40,difference(X_40,X_23)),difference(difference(X_40,difference(X_40,X_23)),difference(X_40,X_41))) = difference(difference(X_40,X_41),difference(difference(X_40,X_23),X_41)),
inference(resolve,[$cnf( $equal(difference(difference(X_40,difference(X_40,X_23)),difference(difference(X_40,difference(X_40,X_23)),difference(X_40,X_41))),difference(difference(X_40,X_41),difference(difference(X_40,difference(X_40,difference(X_40,X_23))),X_41))) )],[refute_0_350,refute_0_353]) ).
cnf(refute_0_355,plain,
difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),X_23))) = difference(difference(X_36,difference(X_36,X_37)),X_23),
inference(subst,[],[refute_0_229:[bind(Y,$fot(difference(X_36,difference(X_36,X_37))))]]) ).
cnf(refute_0_356,plain,
difference(difference(X_36,difference(X_36,X_37)),X_23) = difference(difference(X_37,X_23),difference(X_37,X_36)),
inference(subst,[],[refute_0_15:[bind(X,$fot(X_36)),bind(X_6,$fot(X_37)),bind(X_8,$fot(X_23))]]) ).
cnf(refute_0_357,plain,
( difference(difference(X_36,difference(X_36,X_37)),X_23) != difference(difference(X_37,X_23),difference(X_37,X_36))
| difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),X_23))) != difference(difference(X_36,difference(X_36,X_37)),X_23)
| difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))) = difference(difference(X_36,difference(X_36,X_37)),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),X_23))),difference(difference(X_36,difference(X_36,X_37)),X_23)) ),[0,1,1],$fot(difference(difference(X_37,X_23),difference(X_37,X_36)))]]) ).
cnf(refute_0_358,plain,
( difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),X_23))) != difference(difference(X_36,difference(X_36,X_37)),X_23)
| difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))) = difference(difference(X_36,difference(X_36,X_37)),X_23) ),
inference(resolve,[$cnf( $equal(difference(difference(X_36,difference(X_36,X_37)),X_23),difference(difference(X_37,X_23),difference(X_37,X_36))) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))) = difference(difference(X_36,difference(X_36,X_37)),X_23),
inference(resolve,[$cnf( $equal(difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),X_23))),difference(difference(X_36,difference(X_36,X_37)),X_23)) )],[refute_0_355,refute_0_358]) ).
cnf(refute_0_360,plain,
difference(difference(Y,X_16),difference(difference(X_16,difference(Y,X_16)),X_17)) = difference(Y,X_16),
inference(subst,[],[refute_0_54:[bind(X,$fot(difference(Y,X_16))),bind(X_6,$fot(X_16)),bind(X_7,$fot(X_17))]]) ).
cnf(refute_0_361,plain,
difference(X_16,difference(Y,X_16)) = X_16,
inference(subst,[],[set_difference_1:[bind(X,$fot(X_16))]]) ).
cnf(refute_0_362,plain,
( difference(X_16,difference(Y,X_16)) != X_16
| difference(difference(Y,X_16),difference(difference(X_16,difference(Y,X_16)),X_17)) != difference(Y,X_16)
| difference(difference(Y,X_16),difference(X_16,X_17)) = difference(Y,X_16) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(Y,X_16),difference(difference(X_16,difference(Y,X_16)),X_17)),difference(Y,X_16)) ),[0,1,0],$fot(X_16)]]) ).
cnf(refute_0_363,plain,
( difference(difference(Y,X_16),difference(difference(X_16,difference(Y,X_16)),X_17)) != difference(Y,X_16)
| difference(difference(Y,X_16),difference(X_16,X_17)) = difference(Y,X_16) ),
inference(resolve,[$cnf( $equal(difference(X_16,difference(Y,X_16)),X_16) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
difference(difference(Y,X_16),difference(X_16,X_17)) = difference(Y,X_16),
inference(resolve,[$cnf( $equal(difference(difference(Y,X_16),difference(difference(X_16,difference(Y,X_16)),X_17)),difference(Y,X_16)) )],[refute_0_360,refute_0_363]) ).
cnf(refute_0_365,plain,
difference(difference(X_42,X_43),difference(X_43,difference(X_43,X))) = difference(X_42,X_43),
inference(subst,[],[refute_0_364:[bind(Y,$fot(X_42)),bind(X_16,$fot(X_43)),bind(X_17,$fot(difference(X_43,X)))]]) ).
cnf(refute_0_366,plain,
difference(X,difference(X,X_43)) = difference(X_43,difference(X_43,X)),
inference(subst,[],[set_difference_2:[bind(Y,$fot(X_43))]]) ).
cnf(refute_0_367,plain,
( difference(X,difference(X,X_43)) != difference(X_43,difference(X_43,X))
| difference(X_43,difference(X_43,X)) = difference(X,difference(X,X_43)) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(X,difference(X,X_43)))),bind(Y0,$fot(difference(X_43,difference(X_43,X))))]]) ).
cnf(refute_0_368,plain,
difference(X_43,difference(X_43,X)) = difference(X,difference(X,X_43)),
inference(resolve,[$cnf( $equal(difference(X,difference(X,X_43)),difference(X_43,difference(X_43,X))) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
( difference(X_43,difference(X_43,X)) != difference(X,difference(X,X_43))
| difference(difference(X_42,X_43),difference(X_43,difference(X_43,X))) != difference(X_42,X_43)
| difference(difference(X_42,X_43),difference(X,difference(X,X_43))) = difference(X_42,X_43) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_42,X_43),difference(X_43,difference(X_43,X))),difference(X_42,X_43)) ),[0,1],$fot(difference(X,difference(X,X_43)))]]) ).
cnf(refute_0_370,plain,
( difference(difference(X_42,X_43),difference(X_43,difference(X_43,X))) != difference(X_42,X_43)
| difference(difference(X_42,X_43),difference(X,difference(X,X_43))) = difference(X_42,X_43) ),
inference(resolve,[$cnf( $equal(difference(X_43,difference(X_43,X)),difference(X,difference(X,X_43))) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
difference(difference(X_42,X_43),difference(X,difference(X,X_43))) = difference(X_42,X_43),
inference(resolve,[$cnf( $equal(difference(difference(X_42,X_43),difference(X_43,difference(X_43,X))),difference(X_42,X_43)) )],[refute_0_365,refute_0_370]) ).
cnf(refute_0_372,plain,
difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(difference(X_102,X_104),difference(X_102,difference(X_104,X_103))))) = difference(X_42,difference(X_102,difference(X_104,X_103))),
inference(subst,[],[refute_0_371:[bind(X,$fot(difference(X_102,X_104))),bind(X_43,$fot(difference(X_102,difference(X_104,X_103))))]]) ).
cnf(refute_0_373,plain,
difference(difference(X_102,X_104),difference(X_102,difference(X_104,X_103))) = difference(X_104,X_104),
inference(subst,[],[refute_0_172:[bind(X,$fot(X_102)),bind(X_67,$fot(X_103)),bind(X_8,$fot(X_104))]]) ).
cnf(refute_0_374,plain,
( difference(difference(X_102,X_104),difference(X_102,difference(X_104,X_103))) != difference(X_104,X_104)
| difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(difference(X_102,X_104),difference(X_102,difference(X_104,X_103))))) != difference(X_42,difference(X_102,difference(X_104,X_103)))
| difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))) = difference(X_42,difference(X_102,difference(X_104,X_103))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(difference(X_102,X_104),difference(X_102,difference(X_104,X_103))))),difference(X_42,difference(X_102,difference(X_104,X_103)))) ),[0,1,1],$fot(difference(X_104,X_104))]]) ).
cnf(refute_0_375,plain,
( difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(difference(X_102,X_104),difference(X_102,difference(X_104,X_103))))) != difference(X_42,difference(X_102,difference(X_104,X_103)))
| difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))) = difference(X_42,difference(X_102,difference(X_104,X_103))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_102,X_104),difference(X_102,difference(X_104,X_103))),difference(X_104,X_104)) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))) = difference(X_42,difference(X_102,difference(X_104,X_103))),
inference(resolve,[$cnf( $equal(difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(difference(X_102,X_104),difference(X_102,difference(X_104,X_103))))),difference(X_42,difference(X_102,difference(X_104,X_103)))) )],[refute_0_372,refute_0_375]) ).
cnf(refute_0_377,plain,
difference(difference(X,X_23),Z) = difference(difference(X,Z),X_23),
inference(subst,[],[set_difference_3_simplified:[bind(Y,$fot(X_23))]]) ).
cnf(refute_0_378,plain,
( difference(difference(X,X_23),Z) != difference(difference(X,Z),X_23)
| difference(difference(X,Z),X_23) = difference(difference(X,X_23),Z) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(difference(X,X_23),Z))),bind(Y0,$fot(difference(difference(X,Z),X_23)))]]) ).
cnf(refute_0_379,plain,
difference(difference(X,Z),X_23) = difference(difference(X,X_23),Z),
inference(resolve,[$cnf( $equal(difference(difference(X,X_23),Z),difference(difference(X,Z),X_23)) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(X_102,X_104)) = difference(difference(X_42,difference(X_102,X_104)),difference(X_102,difference(X_104,X_103))),
inference(subst,[],[refute_0_379:[bind(X,$fot(X_42)),bind(Z,$fot(difference(X_102,difference(X_104,X_103)))),bind(X_23,$fot(difference(X_102,X_104)))]]) ).
cnf(refute_0_381,plain,
difference(difference(X_102,X_104),difference(X_104,X_104)) = difference(X_102,X_104),
inference(subst,[],[refute_0_364:[bind(Y,$fot(X_102)),bind(X_16,$fot(X_104)),bind(X_17,$fot(X_104))]]) ).
cnf(refute_0_382,plain,
difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))) = difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))),
introduced(tautology,[refl,[$fot(difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))))]]) ).
cnf(refute_0_383,plain,
( difference(difference(X_102,X_104),difference(X_104,X_104)) != difference(X_102,X_104)
| difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))) != difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104)))
| difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))) = difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(X_102,X_104)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))),difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104)))) ),[1,1],$fot(difference(X_102,X_104))]]) ).
cnf(refute_0_384,plain,
( difference(difference(X_102,X_104),difference(X_104,X_104)) != difference(X_102,X_104)
| difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))) = difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(X_102,X_104)) ),
inference(resolve,[$cnf( $equal(difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))),difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104)))) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))) = difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(X_102,X_104)),
inference(resolve,[$cnf( $equal(difference(difference(X_102,X_104),difference(X_104,X_104)),difference(X_102,X_104)) )],[refute_0_381,refute_0_384]) ).
cnf(refute_0_386,plain,
( difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(X_102,X_104)) != difference(difference(X_42,difference(X_102,X_104)),difference(X_102,difference(X_104,X_103)))
| difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))) != difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(X_102,X_104))
| difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))) = difference(difference(X_42,difference(X_102,X_104)),difference(X_102,difference(X_104,X_103))) ),
inference(subst,[],[refute_0_160:[bind(X0,$fot(difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))))),bind(Y0,$fot(difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(X_102,X_104)))),bind(Z0,$fot(difference(difference(X_42,difference(X_102,X_104)),difference(X_102,difference(X_104,X_103)))))]]) ).
cnf(refute_0_387,plain,
( difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(X_102,X_104)) != difference(difference(X_42,difference(X_102,X_104)),difference(X_102,difference(X_104,X_103)))
| difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))) = difference(difference(X_42,difference(X_102,X_104)),difference(X_102,difference(X_104,X_103))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))),difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(X_102,X_104))) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))) = difference(difference(X_42,difference(X_102,X_104)),difference(X_102,difference(X_104,X_103))),
inference(resolve,[$cnf( $equal(difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(X_102,X_104)),difference(difference(X_42,difference(X_102,X_104)),difference(X_102,difference(X_104,X_103)))) )],[refute_0_380,refute_0_387]) ).
cnf(refute_0_389,plain,
( difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))) != difference(X_42,difference(X_102,difference(X_104,X_103)))
| difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))) != difference(difference(X_42,difference(X_102,X_104)),difference(X_102,difference(X_104,X_103)))
| difference(difference(X_42,difference(X_102,X_104)),difference(X_102,difference(X_104,X_103))) = difference(X_42,difference(X_102,difference(X_104,X_103))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))),difference(X_42,difference(X_102,difference(X_104,X_103)))) ),[0],$fot(difference(difference(X_42,difference(X_102,X_104)),difference(X_102,difference(X_104,X_103))))]]) ).
cnf(refute_0_390,plain,
( difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))) != difference(X_42,difference(X_102,difference(X_104,X_103)))
| difference(difference(X_42,difference(X_102,X_104)),difference(X_102,difference(X_104,X_103))) = difference(X_42,difference(X_102,difference(X_104,X_103))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))),difference(difference(X_42,difference(X_102,X_104)),difference(X_102,difference(X_104,X_103)))) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
difference(difference(X_42,difference(X_102,X_104)),difference(X_102,difference(X_104,X_103))) = difference(X_42,difference(X_102,difference(X_104,X_103))),
inference(resolve,[$cnf( $equal(difference(difference(X_42,difference(X_102,difference(X_104,X_103))),difference(difference(X_102,X_104),difference(X_104,X_104))),difference(X_42,difference(X_102,difference(X_104,X_103)))) )],[refute_0_376,refute_0_390]) ).
cnf(refute_0_392,plain,
difference(difference(X_36,difference(X_36,X_37)),difference(X_36,difference(X_37,X_23))) = difference(X_36,difference(X_36,difference(X_37,X_23))),
inference(subst,[],[refute_0_391:[bind(X_102,$fot(X_36)),bind(X_103,$fot(X_23)),bind(X_104,$fot(X_37)),bind(X_42,$fot(X_36))]]) ).
cnf(refute_0_393,plain,
difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_37,X_23)),difference(X_36,X_37))) = difference(difference(X_36,difference(X_36,X_37)),difference(X_36,difference(X_37,X_23))),
inference(subst,[],[refute_0_341:[bind(X_36,$fot(difference(X_36,X_37))),bind(X_37,$fot(X_36)),bind(X_38,$fot(difference(X_37,X_23)))]]) ).
cnf(refute_0_394,plain,
( difference(difference(X_36,difference(X_36,X_37)),difference(X_36,difference(X_37,X_23))) != difference(X_36,difference(X_36,difference(X_37,X_23)))
| difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_37,X_23)),difference(X_36,X_37))) != difference(difference(X_36,difference(X_36,X_37)),difference(X_36,difference(X_37,X_23)))
| difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_37,X_23)),difference(X_36,X_37))) = difference(X_36,difference(X_36,difference(X_37,X_23))) ),
inference(subst,[],[refute_0_160:[bind(X0,$fot(difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_37,X_23)),difference(X_36,X_37))))),bind(Y0,$fot(difference(difference(X_36,difference(X_36,X_37)),difference(X_36,difference(X_37,X_23))))),bind(Z0,$fot(difference(X_36,difference(X_36,difference(X_37,X_23)))))]]) ).
cnf(refute_0_395,plain,
( difference(difference(X_36,difference(X_36,X_37)),difference(X_36,difference(X_37,X_23))) != difference(X_36,difference(X_36,difference(X_37,X_23)))
| difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_37,X_23)),difference(X_36,X_37))) = difference(X_36,difference(X_36,difference(X_37,X_23))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_37,X_23)),difference(X_36,X_37))),difference(difference(X_36,difference(X_36,X_37)),difference(X_36,difference(X_37,X_23)))) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_37,X_23)),difference(X_36,X_37))) = difference(X_36,difference(X_36,difference(X_37,X_23))),
inference(resolve,[$cnf( $equal(difference(difference(X_36,difference(X_36,X_37)),difference(X_36,difference(X_37,X_23))),difference(X_36,difference(X_36,difference(X_37,X_23)))) )],[refute_0_392,refute_0_395]) ).
cnf(refute_0_397,plain,
difference(difference(difference(X_6,difference(X_40,X_41)),difference(difference(X_6,difference(X_40,X_41)),X_6)),X_8) = difference(difference(X_6,X_8),difference(X_6,difference(X_6,difference(X_40,X_41)))),
inference(subst,[],[refute_0_15:[bind(X,$fot(difference(X_6,difference(X_40,X_41))))]]) ).
cnf(refute_0_398,plain,
difference(X_6,difference(X_6,difference(X_40,X_41))) = difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41)),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_6)),bind(X_6,$fot(X_40)),bind(X_7,$fot(X_41))]]) ).
cnf(refute_0_399,plain,
( difference(X_6,difference(X_6,difference(X_40,X_41))) != difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41))
| difference(difference(difference(X_6,difference(X_40,X_41)),difference(difference(X_6,difference(X_40,X_41)),X_6)),X_8) != difference(difference(X_6,X_8),difference(X_6,difference(X_6,difference(X_40,X_41))))
| difference(difference(difference(X_6,difference(X_40,X_41)),difference(difference(X_6,difference(X_40,X_41)),X_6)),X_8) = difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(difference(X_6,difference(X_40,X_41)),difference(difference(X_6,difference(X_40,X_41)),X_6)),X_8),difference(difference(X_6,X_8),difference(X_6,difference(X_6,difference(X_40,X_41))))) ),[1,1],$fot(difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41)))]]) ).
cnf(refute_0_400,plain,
( difference(difference(difference(X_6,difference(X_40,X_41)),difference(difference(X_6,difference(X_40,X_41)),X_6)),X_8) != difference(difference(X_6,X_8),difference(X_6,difference(X_6,difference(X_40,X_41))))
| difference(difference(difference(X_6,difference(X_40,X_41)),difference(difference(X_6,difference(X_40,X_41)),X_6)),X_8) = difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41))) ),
inference(resolve,[$cnf( $equal(difference(X_6,difference(X_6,difference(X_40,X_41))),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41))) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
difference(difference(difference(X_6,difference(X_40,X_41)),difference(difference(X_6,difference(X_40,X_41)),X_6)),X_8) = difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41))),
inference(resolve,[$cnf( $equal(difference(difference(difference(X_6,difference(X_40,X_41)),difference(difference(X_6,difference(X_40,X_41)),X_6)),X_8),difference(difference(X_6,X_8),difference(X_6,difference(X_6,difference(X_40,X_41))))) )],[refute_0_397,refute_0_400]) ).
cnf(refute_0_402,plain,
difference(X_6,difference(X_6,difference(X_6,difference(X_40,X_41)))) = difference(X_6,difference(X_40,X_41)),
inference(subst,[],[refute_0_229:[bind(Y,$fot(X_6)),bind(X_23,$fot(difference(X_40,X_41)))]]) ).
cnf(refute_0_403,plain,
difference(difference(X_6,difference(X_6,difference(X_6,difference(X_40,X_41)))),X_8) = difference(difference(X_6,difference(X_6,difference(X_6,difference(X_40,X_41)))),X_8),
introduced(tautology,[refl,[$fot(difference(difference(X_6,difference(X_6,difference(X_6,difference(X_40,X_41)))),X_8))]]) ).
cnf(refute_0_404,plain,
( difference(X_6,difference(X_6,difference(X_6,difference(X_40,X_41)))) != difference(X_6,difference(X_40,X_41))
| difference(difference(X_6,difference(X_6,difference(X_6,difference(X_40,X_41)))),X_8) != difference(difference(X_6,difference(X_6,difference(X_6,difference(X_40,X_41)))),X_8)
| difference(difference(X_6,difference(X_6,difference(X_6,difference(X_40,X_41)))),X_8) = difference(difference(X_6,difference(X_40,X_41)),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_6,difference(X_6,difference(X_6,difference(X_40,X_41)))),X_8),difference(difference(X_6,difference(X_6,difference(X_6,difference(X_40,X_41)))),X_8)) ),[1,0],$fot(difference(X_6,difference(X_40,X_41)))]]) ).
cnf(refute_0_405,plain,
( difference(X_6,difference(X_6,difference(X_6,difference(X_40,X_41)))) != difference(X_6,difference(X_40,X_41))
| difference(difference(X_6,difference(X_6,difference(X_6,difference(X_40,X_41)))),X_8) = difference(difference(X_6,difference(X_40,X_41)),X_8) ),
inference(resolve,[$cnf( $equal(difference(difference(X_6,difference(X_6,difference(X_6,difference(X_40,X_41)))),X_8),difference(difference(X_6,difference(X_6,difference(X_6,difference(X_40,X_41)))),X_8)) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
difference(difference(X_6,difference(X_6,difference(X_6,difference(X_40,X_41)))),X_8) = difference(difference(X_6,difference(X_40,X_41)),X_8),
inference(resolve,[$cnf( $equal(difference(X_6,difference(X_6,difference(X_6,difference(X_40,X_41)))),difference(X_6,difference(X_40,X_41))) )],[refute_0_402,refute_0_405]) ).
cnf(refute_0_407,plain,
difference(difference(difference(X_36,difference(X_36,X_37)),Y),Y) = difference(difference(X_36,difference(X_36,X_37)),Y),
inference(subst,[],[refute_0_106:[bind(X_1,$fot(difference(X_36,difference(X_36,X_37))))]]) ).
cnf(refute_0_408,plain,
difference(difference(X_36,difference(X_36,X_37)),Y) = difference(difference(X_37,Y),difference(X_37,X_36)),
inference(subst,[],[refute_0_15:[bind(X,$fot(X_36)),bind(X_6,$fot(X_37)),bind(X_8,$fot(Y))]]) ).
cnf(refute_0_409,plain,
( difference(difference(X_36,difference(X_36,X_37)),Y) != difference(difference(X_37,Y),difference(X_37,X_36))
| difference(difference(difference(X_36,difference(X_36,X_37)),Y),Y) != difference(difference(X_36,difference(X_36,X_37)),Y)
| difference(difference(difference(X_37,Y),difference(X_37,X_36)),Y) = difference(difference(X_36,difference(X_36,X_37)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(difference(X_36,difference(X_36,X_37)),Y),Y),difference(difference(X_36,difference(X_36,X_37)),Y)) ),[0,0],$fot(difference(difference(X_37,Y),difference(X_37,X_36)))]]) ).
cnf(refute_0_410,plain,
( difference(difference(difference(X_36,difference(X_36,X_37)),Y),Y) != difference(difference(X_36,difference(X_36,X_37)),Y)
| difference(difference(difference(X_37,Y),difference(X_37,X_36)),Y) = difference(difference(X_36,difference(X_36,X_37)),Y) ),
inference(resolve,[$cnf( $equal(difference(difference(X_36,difference(X_36,X_37)),Y),difference(difference(X_37,Y),difference(X_37,X_36))) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
difference(difference(difference(X_37,Y),difference(X_37,X_36)),Y) = difference(difference(X_36,difference(X_36,X_37)),Y),
inference(resolve,[$cnf( $equal(difference(difference(difference(X_36,difference(X_36,X_37)),Y),Y),difference(difference(X_36,difference(X_36,X_37)),Y)) )],[refute_0_407,refute_0_410]) ).
cnf(refute_0_412,plain,
difference(difference(difference(X_6,X_7),Y),Y) = difference(difference(X_6,X_7),Y),
inference(subst,[],[refute_0_106:[bind(X_1,$fot(difference(X_6,X_7)))]]) ).
cnf(refute_0_413,plain,
difference(difference(X_6,X_7),Y) = difference(difference(X_6,Y),X_7),
inference(subst,[],[set_difference_3_simplified:[bind(X,$fot(X_6)),bind(Y,$fot(X_7)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_414,plain,
( difference(difference(X_6,X_7),Y) != difference(difference(X_6,Y),X_7)
| difference(difference(difference(X_6,X_7),Y),Y) != difference(difference(X_6,X_7),Y)
| difference(difference(difference(X_6,Y),X_7),Y) = difference(difference(X_6,X_7),Y) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(difference(X_6,X_7),Y),Y),difference(difference(X_6,X_7),Y)) ),[0,0],$fot(difference(difference(X_6,Y),X_7))]]) ).
cnf(refute_0_415,plain,
( difference(difference(difference(X_6,X_7),Y),Y) != difference(difference(X_6,X_7),Y)
| difference(difference(difference(X_6,Y),X_7),Y) = difference(difference(X_6,X_7),Y) ),
inference(resolve,[$cnf( $equal(difference(difference(X_6,X_7),Y),difference(difference(X_6,Y),X_7)) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
difference(difference(difference(X_6,Y),X_7),Y) = difference(difference(X_6,X_7),Y),
inference(resolve,[$cnf( $equal(difference(difference(difference(X_6,X_7),Y),Y),difference(difference(X_6,X_7),Y)) )],[refute_0_412,refute_0_415]) ).
cnf(refute_0_417,plain,
difference(difference(difference(X_37,Y),difference(X_37,X_36)),Y) = difference(difference(X_37,difference(X_37,X_36)),Y),
inference(subst,[],[refute_0_416:[bind(X_6,$fot(X_37)),bind(X_7,$fot(difference(X_37,X_36)))]]) ).
cnf(refute_0_418,plain,
( difference(difference(difference(X_37,Y),difference(X_37,X_36)),Y) != difference(difference(X_36,difference(X_36,X_37)),Y)
| difference(difference(difference(X_37,Y),difference(X_37,X_36)),Y) != difference(difference(X_37,difference(X_37,X_36)),Y)
| difference(difference(X_37,difference(X_37,X_36)),Y) = difference(difference(X_36,difference(X_36,X_37)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(difference(X_37,Y),difference(X_37,X_36)),Y),difference(difference(X_36,difference(X_36,X_37)),Y)) ),[0],$fot(difference(difference(X_37,difference(X_37,X_36)),Y))]]) ).
cnf(refute_0_419,plain,
( difference(difference(difference(X_37,Y),difference(X_37,X_36)),Y) != difference(difference(X_36,difference(X_36,X_37)),Y)
| difference(difference(X_37,difference(X_37,X_36)),Y) = difference(difference(X_36,difference(X_36,X_37)),Y) ),
inference(resolve,[$cnf( $equal(difference(difference(difference(X_37,Y),difference(X_37,X_36)),Y),difference(difference(X_37,difference(X_37,X_36)),Y)) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
difference(difference(X_37,difference(X_37,X_36)),Y) = difference(difference(X_36,difference(X_36,X_37)),Y),
inference(resolve,[$cnf( $equal(difference(difference(difference(X_37,Y),difference(X_37,X_36)),Y),difference(difference(X_36,difference(X_36,X_37)),Y)) )],[refute_0_411,refute_0_419]) ).
cnf(refute_0_421,plain,
( difference(difference(X_37,difference(X_37,X_36)),Y) != difference(difference(X_36,difference(X_36,X_37)),Y)
| difference(difference(X_36,difference(X_36,X_37)),Y) = difference(difference(X_37,difference(X_37,X_36)),Y) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(difference(X_37,difference(X_37,X_36)),Y))),bind(Y0,$fot(difference(difference(X_36,difference(X_36,X_37)),Y)))]]) ).
cnf(refute_0_422,plain,
difference(difference(X_36,difference(X_36,X_37)),Y) = difference(difference(X_37,difference(X_37,X_36)),Y),
inference(resolve,[$cnf( $equal(difference(difference(X_37,difference(X_37,X_36)),Y),difference(difference(X_36,difference(X_36,X_37)),Y)) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
difference(difference(difference(X_6,difference(X_40,X_41)),difference(difference(X_6,difference(X_40,X_41)),X_6)),X_8) = difference(difference(X_6,difference(X_6,difference(X_6,difference(X_40,X_41)))),X_8),
inference(subst,[],[refute_0_422:[bind(Y,$fot(X_8)),bind(X_36,$fot(difference(X_6,difference(X_40,X_41)))),bind(X_37,$fot(X_6))]]) ).
cnf(refute_0_424,plain,
( difference(difference(X_6,difference(X_6,difference(X_6,difference(X_40,X_41)))),X_8) != difference(difference(X_6,difference(X_40,X_41)),X_8)
| difference(difference(difference(X_6,difference(X_40,X_41)),difference(difference(X_6,difference(X_40,X_41)),X_6)),X_8) != difference(difference(X_6,difference(X_6,difference(X_6,difference(X_40,X_41)))),X_8)
| difference(difference(difference(X_6,difference(X_40,X_41)),difference(difference(X_6,difference(X_40,X_41)),X_6)),X_8) = difference(difference(X_6,difference(X_40,X_41)),X_8) ),
inference(subst,[],[refute_0_160:[bind(X0,$fot(difference(difference(difference(X_6,difference(X_40,X_41)),difference(difference(X_6,difference(X_40,X_41)),X_6)),X_8))),bind(Y0,$fot(difference(difference(X_6,difference(X_6,difference(X_6,difference(X_40,X_41)))),X_8))),bind(Z0,$fot(difference(difference(X_6,difference(X_40,X_41)),X_8)))]]) ).
cnf(refute_0_425,plain,
( difference(difference(X_6,difference(X_6,difference(X_6,difference(X_40,X_41)))),X_8) != difference(difference(X_6,difference(X_40,X_41)),X_8)
| difference(difference(difference(X_6,difference(X_40,X_41)),difference(difference(X_6,difference(X_40,X_41)),X_6)),X_8) = difference(difference(X_6,difference(X_40,X_41)),X_8) ),
inference(resolve,[$cnf( $equal(difference(difference(difference(X_6,difference(X_40,X_41)),difference(difference(X_6,difference(X_40,X_41)),X_6)),X_8),difference(difference(X_6,difference(X_6,difference(X_6,difference(X_40,X_41)))),X_8)) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
difference(difference(difference(X_6,difference(X_40,X_41)),difference(difference(X_6,difference(X_40,X_41)),X_6)),X_8) = difference(difference(X_6,difference(X_40,X_41)),X_8),
inference(resolve,[$cnf( $equal(difference(difference(X_6,difference(X_6,difference(X_6,difference(X_40,X_41)))),X_8),difference(difference(X_6,difference(X_40,X_41)),X_8)) )],[refute_0_406,refute_0_425]) ).
cnf(refute_0_427,plain,
( difference(difference(difference(X_6,difference(X_40,X_41)),difference(difference(X_6,difference(X_40,X_41)),X_6)),X_8) != difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41)))
| difference(difference(difference(X_6,difference(X_40,X_41)),difference(difference(X_6,difference(X_40,X_41)),X_6)),X_8) != difference(difference(X_6,difference(X_40,X_41)),X_8)
| difference(difference(X_6,difference(X_40,X_41)),X_8) = difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(difference(X_6,difference(X_40,X_41)),difference(difference(X_6,difference(X_40,X_41)),X_6)),X_8),difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41)))) ),[0],$fot(difference(difference(X_6,difference(X_40,X_41)),X_8))]]) ).
cnf(refute_0_428,plain,
( difference(difference(difference(X_6,difference(X_40,X_41)),difference(difference(X_6,difference(X_40,X_41)),X_6)),X_8) != difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41)))
| difference(difference(X_6,difference(X_40,X_41)),X_8) = difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41))) ),
inference(resolve,[$cnf( $equal(difference(difference(difference(X_6,difference(X_40,X_41)),difference(difference(X_6,difference(X_40,X_41)),X_6)),X_8),difference(difference(X_6,difference(X_40,X_41)),X_8)) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
difference(difference(X_6,difference(X_40,X_41)),X_8) = difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41))),
inference(resolve,[$cnf( $equal(difference(difference(difference(X_6,difference(X_40,X_41)),difference(difference(X_6,difference(X_40,X_41)),X_6)),X_8),difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41)))) )],[refute_0_401,refute_0_428]) ).
cnf(refute_0_430,plain,
difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41)) = difference(difference(X_40,X_41),difference(X_40,X_6)),
inference(subst,[],[refute_0_341:[bind(X_36,$fot(X_41)),bind(X_37,$fot(X_40)),bind(X_38,$fot(X_6))]]) ).
cnf(refute_0_431,plain,
difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41))) = difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41))),
introduced(tautology,[refl,[$fot(difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41))))]]) ).
cnf(refute_0_432,plain,
( difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41)) != difference(difference(X_40,X_41),difference(X_40,X_6))
| difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41))) != difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41)))
| difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41))) = difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41))),difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41)))) ),[1,1],$fot(difference(difference(X_40,X_41),difference(X_40,X_6)))]]) ).
cnf(refute_0_433,plain,
( difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41)) != difference(difference(X_40,X_41),difference(X_40,X_6))
| difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41))) = difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41))),difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41)))) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41))) = difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6))),
inference(resolve,[$cnf( $equal(difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41)),difference(difference(X_40,X_41),difference(X_40,X_6))) )],[refute_0_430,refute_0_433]) ).
cnf(refute_0_435,plain,
( difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41))) != difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6)))
| difference(difference(X_6,difference(X_40,X_41)),X_8) != difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41)))
| difference(difference(X_6,difference(X_40,X_41)),X_8) = difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_6,difference(X_40,X_41)),X_8),difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41)))) ),[1],$fot(difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6))))]]) ).
cnf(refute_0_436,plain,
( difference(difference(X_6,difference(X_40,X_41)),X_8) != difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41)))
| difference(difference(X_6,difference(X_40,X_41)),X_8) = difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41))),difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6)))) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
difference(difference(X_6,difference(X_40,X_41)),X_8) = difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6))),
inference(resolve,[$cnf( $equal(difference(difference(X_6,difference(X_40,X_41)),X_8),difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(difference(X_40,X_6),X_41)))) )],[refute_0_429,refute_0_436]) ).
cnf(refute_0_438,plain,
( difference(difference(X_6,difference(X_40,X_41)),X_8) != difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6)))
| difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6))) = difference(difference(X_6,difference(X_40,X_41)),X_8) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(difference(X_6,difference(X_40,X_41)),X_8))),bind(Y0,$fot(difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6)))))]]) ).
cnf(refute_0_439,plain,
difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6))) = difference(difference(X_6,difference(X_40,X_41)),X_8),
inference(resolve,[$cnf( $equal(difference(difference(X_6,difference(X_40,X_41)),X_8),difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6)))) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36))) = difference(difference(X_36,difference(X_37,X_23)),difference(X_36,X_37)),
inference(subst,[],[refute_0_439:[bind(X_40,$fot(X_37)),bind(X_41,$fot(X_23)),bind(X_6,$fot(X_36)),bind(X_8,$fot(difference(X_36,X_37)))]]) ).
cnf(refute_0_441,plain,
difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))) = difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))),
introduced(tautology,[refl,[$fot(difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))))]]) ).
cnf(refute_0_442,plain,
( difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))) != difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36))))
| difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36))) != difference(difference(X_36,difference(X_37,X_23)),difference(X_36,X_37))
| difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))) = difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_37,X_23)),difference(X_36,X_37))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36))))) ),[1,1],$fot(difference(difference(X_36,difference(X_37,X_23)),difference(X_36,X_37)))]]) ).
cnf(refute_0_443,plain,
( difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36))) != difference(difference(X_36,difference(X_37,X_23)),difference(X_36,X_37))
| difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))) = difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_37,X_23)),difference(X_36,X_37))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36))))) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))) = difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_37,X_23)),difference(X_36,X_37))),
inference(resolve,[$cnf( $equal(difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36))),difference(difference(X_36,difference(X_37,X_23)),difference(X_36,X_37))) )],[refute_0_440,refute_0_443]) ).
cnf(refute_0_445,plain,
( difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))) != difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_37,X_23)),difference(X_36,X_37)))
| difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_37,X_23)),difference(X_36,X_37))) != difference(X_36,difference(X_36,difference(X_37,X_23)))
| difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))) = difference(X_36,difference(X_36,difference(X_37,X_23))) ),
inference(subst,[],[refute_0_160:[bind(X0,$fot(difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))))),bind(Y0,$fot(difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_37,X_23)),difference(X_36,X_37))))),bind(Z0,$fot(difference(X_36,difference(X_36,difference(X_37,X_23)))))]]) ).
cnf(refute_0_446,plain,
( difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_37,X_23)),difference(X_36,X_37))) != difference(X_36,difference(X_36,difference(X_37,X_23)))
| difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))) = difference(X_36,difference(X_36,difference(X_37,X_23))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_37,X_23)),difference(X_36,X_37)))) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))) = difference(X_36,difference(X_36,difference(X_37,X_23))),
inference(resolve,[$cnf( $equal(difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_37,X_23)),difference(X_36,X_37))),difference(X_36,difference(X_36,difference(X_37,X_23)))) )],[refute_0_396,refute_0_446]) ).
cnf(refute_0_448,plain,
( difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))) != difference(X_36,difference(X_36,difference(X_37,X_23)))
| difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))) != difference(difference(X_36,difference(X_36,X_37)),X_23)
| difference(X_36,difference(X_36,difference(X_37,X_23))) = difference(difference(X_36,difference(X_36,X_37)),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))),difference(difference(X_36,difference(X_36,X_37)),X_23)) ),[0],$fot(difference(X_36,difference(X_36,difference(X_37,X_23))))]]) ).
cnf(refute_0_449,plain,
( difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))) != difference(difference(X_36,difference(X_36,X_37)),X_23)
| difference(X_36,difference(X_36,difference(X_37,X_23))) = difference(difference(X_36,difference(X_36,X_37)),X_23) ),
inference(resolve,[$cnf( $equal(difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))),difference(X_36,difference(X_36,difference(X_37,X_23)))) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
difference(X_36,difference(X_36,difference(X_37,X_23))) = difference(difference(X_36,difference(X_36,X_37)),X_23),
inference(resolve,[$cnf( $equal(difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_36,difference(X_36,X_37)),difference(difference(X_37,X_23),difference(X_37,X_36)))),difference(difference(X_36,difference(X_36,X_37)),X_23)) )],[refute_0_359,refute_0_449]) ).
cnf(refute_0_451,plain,
( difference(X_36,difference(X_36,difference(X_37,X_23))) != difference(difference(X_36,difference(X_36,X_37)),X_23)
| difference(difference(X_36,difference(X_36,X_37)),X_23) = difference(X_36,difference(X_36,difference(X_37,X_23))) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(X_36,difference(X_36,difference(X_37,X_23))))),bind(Y0,$fot(difference(difference(X_36,difference(X_36,X_37)),X_23)))]]) ).
cnf(refute_0_452,plain,
difference(difference(X_36,difference(X_36,X_37)),X_23) = difference(X_36,difference(X_36,difference(X_37,X_23))),
inference(resolve,[$cnf( $equal(difference(X_36,difference(X_36,difference(X_37,X_23))),difference(difference(X_36,difference(X_36,X_37)),X_23)) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
difference(difference(X_40,difference(X_40,X_23)),X_41) = difference(X_40,difference(X_40,difference(X_23,X_41))),
inference(subst,[],[refute_0_452:[bind(X_23,$fot(X_41)),bind(X_36,$fot(X_40)),bind(X_37,$fot(X_23))]]) ).
cnf(refute_0_454,plain,
difference(difference(X,Y),difference(X,difference(X,X_23))) = difference(difference(X,difference(X,difference(X,X_23))),Y),
inference(subst,[],[set_difference_3_simplified:[bind(Z,$fot(difference(X,difference(X,X_23))))]]) ).
cnf(refute_0_455,plain,
( difference(X,difference(X,difference(X,X_23))) != difference(X,difference(X_23,difference(X_23,X)))
| difference(difference(X,Y),difference(X,difference(X,X_23))) != difference(difference(X,difference(X,difference(X,X_23))),Y)
| difference(difference(X,Y),difference(X,difference(X,X_23))) = difference(difference(X,difference(X_23,difference(X_23,X))),Y) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X,Y),difference(X,difference(X,X_23))),difference(difference(X,difference(X,difference(X,X_23))),Y)) ),[1,0],$fot(difference(X,difference(X_23,difference(X_23,X))))]]) ).
cnf(refute_0_456,plain,
( difference(difference(X,Y),difference(X,difference(X,X_23))) != difference(difference(X,difference(X,difference(X,X_23))),Y)
| difference(difference(X,Y),difference(X,difference(X,X_23))) = difference(difference(X,difference(X_23,difference(X_23,X))),Y) ),
inference(resolve,[$cnf( $equal(difference(X,difference(X,difference(X,X_23))),difference(X,difference(X_23,difference(X_23,X)))) )],[refute_0_290,refute_0_455]) ).
cnf(refute_0_457,plain,
difference(difference(X,Y),difference(X,difference(X,X_23))) = difference(difference(X,difference(X_23,difference(X_23,X))),Y),
inference(resolve,[$cnf( $equal(difference(difference(X,Y),difference(X,difference(X,X_23))),difference(difference(X,difference(X,difference(X,X_23))),Y)) )],[refute_0_454,refute_0_456]) ).
cnf(refute_0_458,plain,
difference(X,difference(X_23,difference(X_23,X))) = difference(X,X_23),
inference(subst,[],[refute_0_97:[bind(Y,$fot(X))]]) ).
cnf(refute_0_459,plain,
difference(difference(X,difference(X_23,difference(X_23,X))),Y) = difference(difference(X,difference(X_23,difference(X_23,X))),Y),
introduced(tautology,[refl,[$fot(difference(difference(X,difference(X_23,difference(X_23,X))),Y))]]) ).
cnf(refute_0_460,plain,
( difference(X,difference(X_23,difference(X_23,X))) != difference(X,X_23)
| difference(difference(X,difference(X_23,difference(X_23,X))),Y) != difference(difference(X,difference(X_23,difference(X_23,X))),Y)
| difference(difference(X,difference(X_23,difference(X_23,X))),Y) = difference(difference(X,X_23),Y) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X,difference(X_23,difference(X_23,X))),Y),difference(difference(X,difference(X_23,difference(X_23,X))),Y)) ),[1,0],$fot(difference(X,X_23))]]) ).
cnf(refute_0_461,plain,
( difference(X,difference(X_23,difference(X_23,X))) != difference(X,X_23)
| difference(difference(X,difference(X_23,difference(X_23,X))),Y) = difference(difference(X,X_23),Y) ),
inference(resolve,[$cnf( $equal(difference(difference(X,difference(X_23,difference(X_23,X))),Y),difference(difference(X,difference(X_23,difference(X_23,X))),Y)) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
difference(difference(X,difference(X_23,difference(X_23,X))),Y) = difference(difference(X,X_23),Y),
inference(resolve,[$cnf( $equal(difference(X,difference(X_23,difference(X_23,X))),difference(X,X_23)) )],[refute_0_458,refute_0_461]) ).
cnf(refute_0_463,plain,
( difference(difference(X,Y),difference(X,difference(X,X_23))) != difference(difference(X,difference(X_23,difference(X_23,X))),Y)
| difference(difference(X,difference(X_23,difference(X_23,X))),Y) != difference(difference(X,X_23),Y)
| difference(difference(X,Y),difference(X,difference(X,X_23))) = difference(difference(X,X_23),Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(difference(difference(X,Y),difference(X,difference(X,X_23))),difference(difference(X,X_23),Y)) ),[0],$fot(difference(difference(X,difference(X_23,difference(X_23,X))),Y))]]) ).
cnf(refute_0_464,plain,
( difference(difference(X,Y),difference(X,difference(X,X_23))) != difference(difference(X,difference(X_23,difference(X_23,X))),Y)
| difference(difference(X,Y),difference(X,difference(X,X_23))) = difference(difference(X,X_23),Y) ),
inference(resolve,[$cnf( $equal(difference(difference(X,difference(X_23,difference(X_23,X))),Y),difference(difference(X,X_23),Y)) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
difference(difference(X,Y),difference(X,difference(X,X_23))) = difference(difference(X,X_23),Y),
inference(resolve,[$cnf( $equal(difference(difference(X,Y),difference(X,difference(X,X_23))),difference(difference(X,difference(X_23,difference(X_23,X))),Y)) )],[refute_0_457,refute_0_464]) ).
cnf(refute_0_466,plain,
difference(difference(X_40,X_41),difference(X_40,difference(X_40,difference(X_40,X_23)))) = difference(difference(X_40,difference(X_40,X_23)),X_41),
inference(subst,[],[refute_0_465:[bind(X,$fot(X_40)),bind(Y,$fot(X_41)),bind(X_23,$fot(difference(X_40,X_23)))]]) ).
cnf(refute_0_467,plain,
( difference(difference(X_40,X_41),difference(X_40,difference(X_40,difference(X_40,X_23)))) != difference(difference(X_40,difference(X_40,X_23)),X_41)
| difference(difference(X_40,difference(X_40,X_23)),X_41) != difference(X_40,difference(X_40,difference(X_23,X_41)))
| difference(difference(X_40,X_41),difference(X_40,difference(X_40,difference(X_40,X_23)))) = difference(X_40,difference(X_40,difference(X_23,X_41))) ),
inference(subst,[],[refute_0_160:[bind(X0,$fot(difference(difference(X_40,X_41),difference(X_40,difference(X_40,difference(X_40,X_23)))))),bind(Y0,$fot(difference(difference(X_40,difference(X_40,X_23)),X_41))),bind(Z0,$fot(difference(X_40,difference(X_40,difference(X_23,X_41)))))]]) ).
cnf(refute_0_468,plain,
( difference(difference(X_40,difference(X_40,X_23)),X_41) != difference(X_40,difference(X_40,difference(X_23,X_41)))
| difference(difference(X_40,X_41),difference(X_40,difference(X_40,difference(X_40,X_23)))) = difference(X_40,difference(X_40,difference(X_23,X_41))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_40,X_41),difference(X_40,difference(X_40,difference(X_40,X_23)))),difference(difference(X_40,difference(X_40,X_23)),X_41)) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
difference(difference(X_40,X_41),difference(X_40,difference(X_40,difference(X_40,X_23)))) = difference(X_40,difference(X_40,difference(X_23,X_41))),
inference(resolve,[$cnf( $equal(difference(difference(X_40,difference(X_40,X_23)),X_41),difference(X_40,difference(X_40,difference(X_23,X_41)))) )],[refute_0_453,refute_0_468]) ).
cnf(refute_0_470,plain,
difference(difference(X,Y),difference(difference(X_16,X),X_17)) = difference(difference(X,difference(difference(X_16,X),X_17)),Y),
inference(subst,[],[set_difference_3_simplified:[bind(Z,$fot(difference(difference(X_16,X),X_17)))]]) ).
cnf(refute_0_471,plain,
difference(X,difference(difference(X_16,X),X_17)) = X,
inference(subst,[],[refute_0_54:[bind(X_6,$fot(X_16)),bind(X_7,$fot(X_17))]]) ).
cnf(refute_0_472,plain,
( difference(X,difference(difference(X_16,X),X_17)) != X
| difference(difference(X,Y),difference(difference(X_16,X),X_17)) != difference(difference(X,difference(difference(X_16,X),X_17)),Y)
| difference(difference(X,Y),difference(difference(X_16,X),X_17)) = difference(X,Y) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X,Y),difference(difference(X_16,X),X_17)),difference(difference(X,difference(difference(X_16,X),X_17)),Y)) ),[1,0],$fot(X)]]) ).
cnf(refute_0_473,plain,
( difference(difference(X,Y),difference(difference(X_16,X),X_17)) != difference(difference(X,difference(difference(X_16,X),X_17)),Y)
| difference(difference(X,Y),difference(difference(X_16,X),X_17)) = difference(X,Y) ),
inference(resolve,[$cnf( $equal(difference(X,difference(difference(X_16,X),X_17)),X) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
difference(difference(X,Y),difference(difference(X_16,X),X_17)) = difference(X,Y),
inference(resolve,[$cnf( $equal(difference(difference(X,Y),difference(difference(X_16,X),X_17)),difference(difference(X,difference(difference(X_16,X),X_17)),Y)) )],[refute_0_470,refute_0_473]) ).
cnf(refute_0_475,plain,
difference(difference(difference(X_6,X_8),difference(X_6,X)),difference(difference(X_74,difference(X_6,X_8)),X_75)) = difference(difference(X_6,X_8),difference(X_6,X)),
inference(subst,[],[refute_0_474:[bind(X,$fot(difference(X_6,X_8))),bind(Y,$fot(difference(X_6,X))),bind(X_16,$fot(X_74)),bind(X_17,$fot(X_75))]]) ).
cnf(refute_0_476,plain,
( difference(difference(X,difference(X,X_6)),X_8) != difference(difference(X_6,X_8),difference(X_6,X))
| difference(difference(X_6,X_8),difference(X_6,X)) = difference(difference(X,difference(X,X_6)),X_8) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(difference(X,difference(X,X_6)),X_8))),bind(Y0,$fot(difference(difference(X_6,X_8),difference(X_6,X))))]]) ).
cnf(refute_0_477,plain,
difference(difference(X_6,X_8),difference(X_6,X)) = difference(difference(X,difference(X,X_6)),X_8),
inference(resolve,[$cnf( $equal(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_6,X_8),difference(X_6,X))) )],[refute_0_15,refute_0_476]) ).
cnf(refute_0_478,plain,
( difference(difference(X_6,X_8),difference(X_6,X)) != difference(difference(X,difference(X,X_6)),X_8)
| difference(difference(difference(X_6,X_8),difference(X_6,X)),difference(difference(X_74,difference(X_6,X_8)),X_75)) != difference(difference(X_6,X_8),difference(X_6,X))
| difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)) = difference(difference(X_6,X_8),difference(X_6,X)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(difference(X_6,X_8),difference(X_6,X)),difference(difference(X_74,difference(X_6,X_8)),X_75)),difference(difference(X_6,X_8),difference(X_6,X))) ),[0,0],$fot(difference(difference(X,difference(X,X_6)),X_8))]]) ).
cnf(refute_0_479,plain,
( difference(difference(difference(X_6,X_8),difference(X_6,X)),difference(difference(X_74,difference(X_6,X_8)),X_75)) != difference(difference(X_6,X_8),difference(X_6,X))
| difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)) = difference(difference(X_6,X_8),difference(X_6,X)) ),
inference(resolve,[$cnf( $equal(difference(difference(X_6,X_8),difference(X_6,X)),difference(difference(X,difference(X,X_6)),X_8)) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)) = difference(difference(X_6,X_8),difference(X_6,X)),
inference(resolve,[$cnf( $equal(difference(difference(difference(X_6,X_8),difference(X_6,X)),difference(difference(X_74,difference(X_6,X_8)),X_75)),difference(difference(X_6,X_8),difference(X_6,X))) )],[refute_0_475,refute_0_479]) ).
cnf(refute_0_481,plain,
difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)) = difference(X_6,X_8),
inference(subst,[],[refute_0_54:[bind(X,$fot(difference(X_6,X_8))),bind(X_6,$fot(X_74)),bind(X_7,$fot(X_75))]]) ).
cnf(refute_0_482,plain,
difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75))) = difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75))),
introduced(tautology,[refl,[$fot(difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75))))]]) ).
cnf(refute_0_483,plain,
( difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75))) != difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)))
| difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)) != difference(X_6,X_8)
| difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75))) = difference(X,difference(X_6,X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75))),difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)))) ),[1,1],$fot(difference(X_6,X_8))]]) ).
cnf(refute_0_484,plain,
( difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)) != difference(X_6,X_8)
| difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75))) = difference(X,difference(X_6,X_8)) ),
inference(resolve,[$cnf( $equal(difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75))),difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)))) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75))) = difference(X,difference(X_6,X_8)),
inference(resolve,[$cnf( $equal(difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)),difference(X_6,X_8)) )],[refute_0_481,refute_0_484]) ).
cnf(refute_0_486,plain,
difference(X,difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)))) = difference(X,difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)))),
introduced(tautology,[refl,[$fot(difference(X,difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)))))]]) ).
cnf(refute_0_487,plain,
( difference(X,difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)))) != difference(X,difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75))))
| difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75))) != difference(X,difference(X_6,X_8))
| difference(X,difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)))) = difference(X,difference(X,difference(X_6,X_8))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(X,difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)))),difference(X,difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75))))) ),[1,1],$fot(difference(X,difference(X_6,X_8)))]]) ).
cnf(refute_0_488,plain,
( difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75))) != difference(X,difference(X_6,X_8))
| difference(X,difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)))) = difference(X,difference(X,difference(X_6,X_8))) ),
inference(resolve,[$cnf( $equal(difference(X,difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)))),difference(X,difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75))))) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
difference(X,difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)))) = difference(X,difference(X,difference(X_6,X_8))),
inference(resolve,[$cnf( $equal(difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75))),difference(X,difference(X_6,X_8))) )],[refute_0_485,refute_0_488]) ).
cnf(refute_0_490,plain,
difference(difference(X,difference(X,difference(X_6,X_8))),difference(difference(X_74,difference(X_6,X_8)),X_75)) = difference(X,difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)))),
inference(subst,[],[refute_0_452:[bind(X_23,$fot(difference(difference(X_74,difference(X_6,X_8)),X_75))),bind(X_36,$fot(X)),bind(X_37,$fot(difference(X_6,X_8)))]]) ).
cnf(refute_0_491,plain,
( difference(X,difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)))) != difference(X,difference(X,difference(X_6,X_8)))
| difference(difference(X,difference(X,difference(X_6,X_8))),difference(difference(X_74,difference(X_6,X_8)),X_75)) != difference(X,difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75))))
| difference(difference(X,difference(X,difference(X_6,X_8))),difference(difference(X_74,difference(X_6,X_8)),X_75)) = difference(X,difference(X,difference(X_6,X_8))) ),
inference(subst,[],[refute_0_160:[bind(X0,$fot(difference(difference(X,difference(X,difference(X_6,X_8))),difference(difference(X_74,difference(X_6,X_8)),X_75)))),bind(Y0,$fot(difference(X,difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)))))),bind(Z0,$fot(difference(X,difference(X,difference(X_6,X_8)))))]]) ).
cnf(refute_0_492,plain,
( difference(X,difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)))) != difference(X,difference(X,difference(X_6,X_8)))
| difference(difference(X,difference(X,difference(X_6,X_8))),difference(difference(X_74,difference(X_6,X_8)),X_75)) = difference(X,difference(X,difference(X_6,X_8))) ),
inference(resolve,[$cnf( $equal(difference(difference(X,difference(X,difference(X_6,X_8))),difference(difference(X_74,difference(X_6,X_8)),X_75)),difference(X,difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75))))) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
difference(difference(X,difference(X,difference(X_6,X_8))),difference(difference(X_74,difference(X_6,X_8)),X_75)) = difference(X,difference(X,difference(X_6,X_8))),
inference(resolve,[$cnf( $equal(difference(X,difference(X,difference(difference(X_6,X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)))),difference(X,difference(X,difference(X_6,X_8)))) )],[refute_0_489,refute_0_492]) ).
cnf(refute_0_494,plain,
difference(difference(X,difference(X,X_6)),X_8) = difference(X,difference(X,difference(X_6,X_8))),
inference(subst,[],[refute_0_452:[bind(X_23,$fot(X_8)),bind(X_36,$fot(X)),bind(X_37,$fot(X_6))]]) ).
cnf(refute_0_495,plain,
difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)) = difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)),
introduced(tautology,[refl,[$fot(difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)))]]) ).
cnf(refute_0_496,plain,
( difference(difference(X,difference(X,X_6)),X_8) != difference(X,difference(X,difference(X_6,X_8)))
| difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)) != difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75))
| difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)) = difference(difference(X,difference(X,difference(X_6,X_8))),difference(difference(X_74,difference(X_6,X_8)),X_75)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)),difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75))) ),[1,0],$fot(difference(X,difference(X,difference(X_6,X_8))))]]) ).
cnf(refute_0_497,plain,
( difference(difference(X,difference(X,X_6)),X_8) != difference(X,difference(X,difference(X_6,X_8)))
| difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)) = difference(difference(X,difference(X,difference(X_6,X_8))),difference(difference(X_74,difference(X_6,X_8)),X_75)) ),
inference(resolve,[$cnf( $equal(difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)),difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75))) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)) = difference(difference(X,difference(X,difference(X_6,X_8))),difference(difference(X_74,difference(X_6,X_8)),X_75)),
inference(resolve,[$cnf( $equal(difference(difference(X,difference(X,X_6)),X_8),difference(X,difference(X,difference(X_6,X_8)))) )],[refute_0_494,refute_0_497]) ).
cnf(refute_0_499,plain,
( difference(difference(X,difference(X,difference(X_6,X_8))),difference(difference(X_74,difference(X_6,X_8)),X_75)) != difference(X,difference(X,difference(X_6,X_8)))
| difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)) != difference(difference(X,difference(X,difference(X_6,X_8))),difference(difference(X_74,difference(X_6,X_8)),X_75))
| difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)) = difference(X,difference(X,difference(X_6,X_8))) ),
inference(subst,[],[refute_0_160:[bind(X0,$fot(difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)))),bind(Y0,$fot(difference(difference(X,difference(X,difference(X_6,X_8))),difference(difference(X_74,difference(X_6,X_8)),X_75)))),bind(Z0,$fot(difference(X,difference(X,difference(X_6,X_8)))))]]) ).
cnf(refute_0_500,plain,
( difference(difference(X,difference(X,difference(X_6,X_8))),difference(difference(X_74,difference(X_6,X_8)),X_75)) != difference(X,difference(X,difference(X_6,X_8)))
| difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)) = difference(X,difference(X,difference(X_6,X_8))) ),
inference(resolve,[$cnf( $equal(difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)),difference(difference(X,difference(X,difference(X_6,X_8))),difference(difference(X_74,difference(X_6,X_8)),X_75))) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)) = difference(X,difference(X,difference(X_6,X_8))),
inference(resolve,[$cnf( $equal(difference(difference(X,difference(X,difference(X_6,X_8))),difference(difference(X_74,difference(X_6,X_8)),X_75)),difference(X,difference(X,difference(X_6,X_8)))) )],[refute_0_493,refute_0_500]) ).
cnf(refute_0_502,plain,
( difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)) != difference(X,difference(X,difference(X_6,X_8)))
| difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)) != difference(difference(X_6,X_8),difference(X_6,X))
| difference(X,difference(X,difference(X_6,X_8))) = difference(difference(X_6,X_8),difference(X_6,X)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)),difference(difference(X_6,X_8),difference(X_6,X))) ),[0],$fot(difference(X,difference(X,difference(X_6,X_8))))]]) ).
cnf(refute_0_503,plain,
( difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)) != difference(difference(X_6,X_8),difference(X_6,X))
| difference(X,difference(X,difference(X_6,X_8))) = difference(difference(X_6,X_8),difference(X_6,X)) ),
inference(resolve,[$cnf( $equal(difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)),difference(X,difference(X,difference(X_6,X_8)))) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
difference(X,difference(X,difference(X_6,X_8))) = difference(difference(X_6,X_8),difference(X_6,X)),
inference(resolve,[$cnf( $equal(difference(difference(difference(X,difference(X,X_6)),X_8),difference(difference(X_74,difference(X_6,X_8)),X_75)),difference(difference(X_6,X_8),difference(X_6,X))) )],[refute_0_480,refute_0_503]) ).
cnf(refute_0_505,plain,
difference(difference(X_40,difference(X_40,X_23)),difference(difference(X_40,difference(X_40,X_23)),difference(X_40,X_41))) = difference(difference(X_40,X_41),difference(X_40,difference(X_40,difference(X_40,X_23)))),
inference(subst,[],[refute_0_504:[bind(X,$fot(difference(X_40,difference(X_40,X_23)))),bind(X_6,$fot(X_40)),bind(X_8,$fot(X_41))]]) ).
cnf(refute_0_506,plain,
( difference(difference(X_40,X_41),difference(X_40,difference(X_40,difference(X_40,X_23)))) != difference(X_40,difference(X_40,difference(X_23,X_41)))
| difference(difference(X_40,difference(X_40,X_23)),difference(difference(X_40,difference(X_40,X_23)),difference(X_40,X_41))) != difference(difference(X_40,X_41),difference(X_40,difference(X_40,difference(X_40,X_23))))
| difference(difference(X_40,difference(X_40,X_23)),difference(difference(X_40,difference(X_40,X_23)),difference(X_40,X_41))) = difference(X_40,difference(X_40,difference(X_23,X_41))) ),
inference(subst,[],[refute_0_160:[bind(X0,$fot(difference(difference(X_40,difference(X_40,X_23)),difference(difference(X_40,difference(X_40,X_23)),difference(X_40,X_41))))),bind(Y0,$fot(difference(difference(X_40,X_41),difference(X_40,difference(X_40,difference(X_40,X_23)))))),bind(Z0,$fot(difference(X_40,difference(X_40,difference(X_23,X_41)))))]]) ).
cnf(refute_0_507,plain,
( difference(difference(X_40,X_41),difference(X_40,difference(X_40,difference(X_40,X_23)))) != difference(X_40,difference(X_40,difference(X_23,X_41)))
| difference(difference(X_40,difference(X_40,X_23)),difference(difference(X_40,difference(X_40,X_23)),difference(X_40,X_41))) = difference(X_40,difference(X_40,difference(X_23,X_41))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_40,difference(X_40,X_23)),difference(difference(X_40,difference(X_40,X_23)),difference(X_40,X_41))),difference(difference(X_40,X_41),difference(X_40,difference(X_40,difference(X_40,X_23))))) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
difference(difference(X_40,difference(X_40,X_23)),difference(difference(X_40,difference(X_40,X_23)),difference(X_40,X_41))) = difference(X_40,difference(X_40,difference(X_23,X_41))),
inference(resolve,[$cnf( $equal(difference(difference(X_40,X_41),difference(X_40,difference(X_40,difference(X_40,X_23)))),difference(X_40,difference(X_40,difference(X_23,X_41)))) )],[refute_0_469,refute_0_507]) ).
cnf(refute_0_509,plain,
( difference(difference(X_40,difference(X_40,X_23)),difference(difference(X_40,difference(X_40,X_23)),difference(X_40,X_41))) != difference(X_40,difference(X_40,difference(X_23,X_41)))
| difference(difference(X_40,difference(X_40,X_23)),difference(difference(X_40,difference(X_40,X_23)),difference(X_40,X_41))) != difference(difference(X_40,X_41),difference(difference(X_40,X_23),X_41))
| difference(X_40,difference(X_40,difference(X_23,X_41))) = difference(difference(X_40,X_41),difference(difference(X_40,X_23),X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_40,difference(X_40,X_23)),difference(difference(X_40,difference(X_40,X_23)),difference(X_40,X_41))),difference(difference(X_40,X_41),difference(difference(X_40,X_23),X_41))) ),[0],$fot(difference(X_40,difference(X_40,difference(X_23,X_41))))]]) ).
cnf(refute_0_510,plain,
( difference(difference(X_40,difference(X_40,X_23)),difference(difference(X_40,difference(X_40,X_23)),difference(X_40,X_41))) != difference(difference(X_40,X_41),difference(difference(X_40,X_23),X_41))
| difference(X_40,difference(X_40,difference(X_23,X_41))) = difference(difference(X_40,X_41),difference(difference(X_40,X_23),X_41)) ),
inference(resolve,[$cnf( $equal(difference(difference(X_40,difference(X_40,X_23)),difference(difference(X_40,difference(X_40,X_23)),difference(X_40,X_41))),difference(X_40,difference(X_40,difference(X_23,X_41)))) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
difference(difference(X_40,X_41),difference(difference(X_40,X_23),X_41)) = difference(difference(X_40,X_41),difference(X_40,X_23)),
inference(subst,[],[refute_0_341:[bind(X_36,$fot(X_41)),bind(X_37,$fot(X_40)),bind(X_38,$fot(X_23))]]) ).
cnf(refute_0_512,plain,
( difference(X_40,difference(X_40,difference(X_23,X_41))) != difference(difference(X_40,X_41),difference(difference(X_40,X_23),X_41))
| difference(difference(X_40,X_41),difference(difference(X_40,X_23),X_41)) != difference(difference(X_40,X_41),difference(X_40,X_23))
| difference(X_40,difference(X_40,difference(X_23,X_41))) = difference(difference(X_40,X_41),difference(X_40,X_23)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(difference(X_40,difference(X_40,difference(X_23,X_41))),difference(difference(X_40,X_41),difference(X_40,X_23))) ),[0],$fot(difference(difference(X_40,X_41),difference(difference(X_40,X_23),X_41)))]]) ).
cnf(refute_0_513,plain,
( difference(X_40,difference(X_40,difference(X_23,X_41))) != difference(difference(X_40,X_41),difference(difference(X_40,X_23),X_41))
| difference(X_40,difference(X_40,difference(X_23,X_41))) = difference(difference(X_40,X_41),difference(X_40,X_23)) ),
inference(resolve,[$cnf( $equal(difference(difference(X_40,X_41),difference(difference(X_40,X_23),X_41)),difference(difference(X_40,X_41),difference(X_40,X_23))) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
( difference(difference(X_40,difference(X_40,X_23)),difference(difference(X_40,difference(X_40,X_23)),difference(X_40,X_41))) != difference(difference(X_40,X_41),difference(difference(X_40,X_23),X_41))
| difference(X_40,difference(X_40,difference(X_23,X_41))) = difference(difference(X_40,X_41),difference(X_40,X_23)) ),
inference(resolve,[$cnf( $equal(difference(X_40,difference(X_40,difference(X_23,X_41))),difference(difference(X_40,X_41),difference(difference(X_40,X_23),X_41))) )],[refute_0_510,refute_0_513]) ).
cnf(refute_0_515,plain,
difference(X_40,difference(X_40,difference(X_23,X_41))) = difference(difference(X_40,X_41),difference(X_40,X_23)),
inference(resolve,[$cnf( $equal(difference(difference(X_40,difference(X_40,X_23)),difference(difference(X_40,difference(X_40,X_23)),difference(X_40,X_41))),difference(difference(X_40,X_41),difference(difference(X_40,X_23),X_41))) )],[refute_0_354,refute_0_514]) ).
cnf(refute_0_516,plain,
( difference(X_40,difference(X_40,difference(X_23,X_41))) != difference(difference(X_40,X_41),difference(X_40,X_23))
| difference(difference(X_40,X_41),difference(X_40,X_23)) = difference(X_40,difference(X_40,difference(X_23,X_41))) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(X_40,difference(X_40,difference(X_23,X_41))))),bind(Y0,$fot(difference(difference(X_40,X_41),difference(X_40,X_23))))]]) ).
cnf(refute_0_517,plain,
difference(difference(X_40,X_41),difference(X_40,X_23)) = difference(X_40,difference(X_40,difference(X_23,X_41))),
inference(resolve,[$cnf( $equal(difference(X_40,difference(X_40,difference(X_23,X_41))),difference(difference(X_40,X_41),difference(X_40,X_23))) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
difference(difference(X,Z),difference(X,X_22)) = difference(X,difference(X,difference(X_22,Z))),
inference(subst,[],[refute_0_517:[bind(X_23,$fot(X_22)),bind(X_40,$fot(X)),bind(X_41,$fot(Z))]]) ).
cnf(refute_0_519,plain,
difference(X_22,difference(difference(X,Z),difference(X,X_22))) = difference(X_22,difference(difference(X,Z),difference(X,X_22))),
introduced(tautology,[refl,[$fot(difference(X_22,difference(difference(X,Z),difference(X,X_22))))]]) ).
cnf(refute_0_520,plain,
( difference(X_22,difference(difference(X,Z),difference(X,X_22))) != difference(X_22,difference(difference(X,Z),difference(X,X_22)))
| difference(difference(X,Z),difference(X,X_22)) != difference(X,difference(X,difference(X_22,Z)))
| difference(X_22,difference(difference(X,Z),difference(X,X_22))) = difference(X_22,difference(X,difference(X,difference(X_22,Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(X_22,difference(difference(X,Z),difference(X,X_22))),difference(X_22,difference(difference(X,Z),difference(X,X_22)))) ),[1,1],$fot(difference(X,difference(X,difference(X_22,Z))))]]) ).
cnf(refute_0_521,plain,
( difference(difference(X,Z),difference(X,X_22)) != difference(X,difference(X,difference(X_22,Z)))
| difference(X_22,difference(difference(X,Z),difference(X,X_22))) = difference(X_22,difference(X,difference(X,difference(X_22,Z)))) ),
inference(resolve,[$cnf( $equal(difference(X_22,difference(difference(X,Z),difference(X,X_22))),difference(X_22,difference(difference(X,Z),difference(X,X_22)))) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
difference(X_22,difference(difference(X,Z),difference(X,X_22))) = difference(X_22,difference(X,difference(X,difference(X_22,Z)))),
inference(resolve,[$cnf( $equal(difference(difference(X,Z),difference(X,X_22)),difference(X,difference(X,difference(X_22,Z)))) )],[refute_0_518,refute_0_521]) ).
cnf(refute_0_523,plain,
( difference(X_22,difference(X,Z)) != difference(X_22,difference(difference(X,Z),difference(X,X_22)))
| difference(X_22,difference(difference(X,Z),difference(X,X_22))) != difference(X_22,difference(X,difference(X,difference(X_22,Z))))
| difference(X_22,difference(X,Z)) = difference(X_22,difference(X,difference(X,difference(X_22,Z)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(difference(X_22,difference(X,Z)),difference(X_22,difference(X,difference(X,difference(X_22,Z))))) ),[0],$fot(difference(X_22,difference(difference(X,Z),difference(X,X_22))))]]) ).
cnf(refute_0_524,plain,
( difference(X_22,difference(X,Z)) != difference(X_22,difference(difference(X,Z),difference(X,X_22)))
| difference(X_22,difference(X,Z)) = difference(X_22,difference(X,difference(X,difference(X_22,Z)))) ),
inference(resolve,[$cnf( $equal(difference(X_22,difference(difference(X,Z),difference(X,X_22))),difference(X_22,difference(X,difference(X,difference(X_22,Z))))) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
difference(X_22,difference(X,Z)) = difference(X_22,difference(X,difference(X,difference(X_22,Z)))),
inference(resolve,[$cnf( $equal(difference(X_22,difference(X,Z)),difference(X_22,difference(difference(X,Z),difference(X,X_22)))) )],[refute_0_349,refute_0_524]) ).
cnf(refute_0_526,plain,
( difference(X_22,difference(X,Z)) != difference(X_22,difference(X,difference(X,difference(X_22,Z))))
| difference(X_22,difference(X,difference(X,difference(X_22,Z)))) = difference(X_22,difference(X,Z)) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(X_22,difference(X,Z)))),bind(Y0,$fot(difference(X_22,difference(X,difference(X,difference(X_22,Z))))))]]) ).
cnf(refute_0_527,plain,
difference(X_22,difference(X,difference(X,difference(X_22,Z)))) = difference(X_22,difference(X,Z)),
inference(resolve,[$cnf( $equal(difference(X_22,difference(X,Z)),difference(X_22,difference(X,difference(X,difference(X_22,Z))))) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
difference(X,difference(X_6,difference(X_6,difference(X,X_103)))) = difference(X,difference(X_6,X_103)),
inference(subst,[],[refute_0_527:[bind(X,$fot(X_6)),bind(Z,$fot(X_103)),bind(X_22,$fot(X))]]) ).
cnf(refute_0_529,plain,
difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))) = difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))),
introduced(tautology,[refl,[$fot(difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))))]]) ).
cnf(refute_0_530,plain,
( difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))) != difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103)))))
| difference(X,difference(X_6,difference(X_6,difference(X,X_103)))) != difference(X,difference(X_6,X_103))
| difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))) = difference(X,difference(X,difference(X_6,X_103))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))),difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103)))))) ),[1,1],$fot(difference(X,difference(X_6,X_103)))]]) ).
cnf(refute_0_531,plain,
( difference(X,difference(X_6,difference(X_6,difference(X,X_103)))) != difference(X,difference(X_6,X_103))
| difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))) = difference(X,difference(X,difference(X_6,X_103))) ),
inference(resolve,[$cnf( $equal(difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))),difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103)))))) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))) = difference(X,difference(X,difference(X_6,X_103))),
inference(resolve,[$cnf( $equal(difference(X,difference(X_6,difference(X_6,difference(X,X_103)))),difference(X,difference(X_6,X_103))) )],[refute_0_528,refute_0_531]) ).
cnf(refute_0_533,plain,
( difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))) != difference(X,difference(X,difference(X_6,X_103)))
| difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))) != difference(X_6,difference(X_6,difference(X,X_103)))
| difference(X,difference(X,difference(X_6,X_103))) = difference(X_6,difference(X_6,difference(X,X_103))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))),difference(X_6,difference(X_6,difference(X,X_103)))) ),[0],$fot(difference(X,difference(X,difference(X_6,X_103))))]]) ).
cnf(refute_0_534,plain,
( difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))) != difference(X_6,difference(X_6,difference(X,X_103)))
| difference(X,difference(X,difference(X_6,X_103))) = difference(X_6,difference(X_6,difference(X,X_103))) ),
inference(resolve,[$cnf( $equal(difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))),difference(X,difference(X,difference(X_6,X_103)))) )],[refute_0_532,refute_0_533]) ).
cnf(refute_0_535,plain,
difference(X,difference(X,difference(X_6,X_103))) = difference(X_6,difference(X_6,difference(X,X_103))),
inference(resolve,[$cnf( $equal(difference(X,difference(X,difference(X_6,difference(X_6,difference(X,X_103))))),difference(X_6,difference(X_6,difference(X,X_103)))) )],[refute_0_180,refute_0_534]) ).
cnf(refute_0_536,plain,
( difference(X,difference(X,difference(X_6,X_103))) != difference(X_6,difference(X_6,difference(X,X_103)))
| difference(X_6,difference(X_6,difference(X,X_103))) = difference(X,difference(X,difference(X_6,X_103))) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(X,difference(X,difference(X_6,X_103))))),bind(Y0,$fot(difference(X_6,difference(X_6,difference(X,X_103)))))]]) ).
cnf(refute_0_537,plain,
difference(X_6,difference(X_6,difference(X,X_103))) = difference(X,difference(X,difference(X_6,X_103))),
inference(resolve,[$cnf( $equal(difference(X,difference(X,difference(X_6,X_103))),difference(X_6,difference(X_6,difference(X,X_103)))) )],[refute_0_535,refute_0_536]) ).
cnf(refute_0_538,plain,
difference(difference(X_40,X_6),difference(difference(X_40,X_6),difference(X_40,X_41))) = difference(X_40,difference(X_40,difference(difference(X_40,X_6),X_41))),
inference(subst,[],[refute_0_537:[bind(X,$fot(X_40)),bind(X_103,$fot(X_41)),bind(X_6,$fot(difference(X_40,X_6)))]]) ).
cnf(refute_0_539,plain,
( difference(X_40,difference(X_40,difference(difference(X_40,X_6),X_41))) != difference(difference(X_40,X_6),X_41)
| difference(difference(X_40,X_6),difference(difference(X_40,X_6),difference(X_40,X_41))) != difference(X_40,difference(X_40,difference(difference(X_40,X_6),X_41)))
| difference(difference(X_40,X_6),difference(difference(X_40,X_6),difference(X_40,X_41))) = difference(difference(X_40,X_6),X_41) ),
inference(subst,[],[refute_0_160:[bind(X0,$fot(difference(difference(X_40,X_6),difference(difference(X_40,X_6),difference(X_40,X_41))))),bind(Y0,$fot(difference(X_40,difference(X_40,difference(difference(X_40,X_6),X_41))))),bind(Z0,$fot(difference(difference(X_40,X_6),X_41)))]]) ).
cnf(refute_0_540,plain,
( difference(X_40,difference(X_40,difference(difference(X_40,X_6),X_41))) != difference(difference(X_40,X_6),X_41)
| difference(difference(X_40,X_6),difference(difference(X_40,X_6),difference(X_40,X_41))) = difference(difference(X_40,X_6),X_41) ),
inference(resolve,[$cnf( $equal(difference(difference(X_40,X_6),difference(difference(X_40,X_6),difference(X_40,X_41))),difference(X_40,difference(X_40,difference(difference(X_40,X_6),X_41)))) )],[refute_0_538,refute_0_539]) ).
cnf(refute_0_541,plain,
difference(difference(X_40,X_6),difference(difference(X_40,X_6),difference(X_40,X_41))) = difference(difference(X_40,X_6),X_41),
inference(resolve,[$cnf( $equal(difference(X_40,difference(X_40,difference(difference(X_40,X_6),X_41))),difference(difference(X_40,X_6),X_41)) )],[refute_0_48,refute_0_540]) ).
cnf(refute_0_542,plain,
( difference(difference(X_40,X_6),difference(difference(X_40,X_6),difference(X_40,X_41))) != difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40)))
| difference(difference(X_40,X_6),difference(difference(X_40,X_6),difference(X_40,X_41))) != difference(difference(X_40,X_6),X_41)
| difference(difference(X_40,X_6),X_41) = difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_40,X_6),difference(difference(X_40,X_6),difference(X_40,X_41))),difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40)))) ),[0],$fot(difference(difference(X_40,X_6),X_41))]]) ).
cnf(refute_0_543,plain,
( difference(difference(X_40,X_6),difference(difference(X_40,X_6),difference(X_40,X_41))) != difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40)))
| difference(difference(X_40,X_6),X_41) = difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_40,X_6),difference(difference(X_40,X_6),difference(X_40,X_41))),difference(difference(X_40,X_6),X_41)) )],[refute_0_541,refute_0_542]) ).
cnf(refute_0_544,plain,
difference(difference(X_109,X_110),difference(X_109,difference(X_109,X_112))) = difference(difference(X_109,X_112),X_110),
inference(subst,[],[refute_0_465:[bind(X,$fot(X_109)),bind(Y,$fot(X_110)),bind(X_23,$fot(X_112))]]) ).
cnf(refute_0_545,plain,
difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110))) = difference(difference(X_109,X_110),difference(X_109,difference(X_109,X_112))),
inference(subst,[],[refute_0_504:[bind(X,$fot(difference(X_109,X_112))),bind(X_6,$fot(X_109)),bind(X_8,$fot(X_110))]]) ).
cnf(refute_0_546,plain,
( difference(difference(X_109,X_110),difference(X_109,difference(X_109,X_112))) != difference(difference(X_109,X_112),X_110)
| difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110))) != difference(difference(X_109,X_110),difference(X_109,difference(X_109,X_112)))
| difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110))) = difference(difference(X_109,X_112),X_110) ),
inference(subst,[],[refute_0_160:[bind(X0,$fot(difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110))))),bind(Y0,$fot(difference(difference(X_109,X_110),difference(X_109,difference(X_109,X_112))))),bind(Z0,$fot(difference(difference(X_109,X_112),X_110)))]]) ).
cnf(refute_0_547,plain,
( difference(difference(X_109,X_110),difference(X_109,difference(X_109,X_112))) != difference(difference(X_109,X_112),X_110)
| difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110))) = difference(difference(X_109,X_112),X_110) ),
inference(resolve,[$cnf( $equal(difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110))),difference(difference(X_109,X_110),difference(X_109,difference(X_109,X_112)))) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110))) = difference(difference(X_109,X_112),X_110),
inference(resolve,[$cnf( $equal(difference(difference(X_109,X_110),difference(X_109,difference(X_109,X_112))),difference(difference(X_109,X_112),X_110)) )],[refute_0_544,refute_0_547]) ).
cnf(refute_0_549,plain,
( difference(difference(X_109,X_110),X_112) != difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110)))
| difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110))) != difference(difference(X_109,X_112),X_110)
| difference(difference(X_109,X_110),X_112) = difference(difference(X_109,X_112),X_110) ),
introduced(tautology,[equality,[$cnf( ~ $equal(difference(difference(X_109,X_110),X_112),difference(difference(X_109,X_112),X_110)) ),[0],$fot(difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110))))]]) ).
cnf(refute_0_550,plain,
( difference(difference(X_109,X_110),X_112) != difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110)))
| difference(difference(X_109,X_110),X_112) = difference(difference(X_109,X_112),X_110) ),
inference(resolve,[$cnf( $equal(difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110))),difference(difference(X_109,X_112),X_110)) )],[refute_0_548,refute_0_549]) ).
cnf(refute_0_551,plain,
difference(difference(X_109,X_110),X_112) = difference(difference(X_109,X_112),X_110),
inference(resolve,[$cnf( $equal(difference(difference(X_109,X_110),X_112),difference(difference(X_109,X_112),difference(difference(X_109,X_112),difference(X_109,X_110)))) )],[refute_0_324,refute_0_550]) ).
cnf(refute_0_552,plain,
( difference(difference(X_109,X_110),X_112) != difference(difference(X_109,X_112),X_110)
| difference(difference(X_109,X_112),X_110) = difference(difference(X_109,X_110),X_112) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(difference(X_109,X_110),X_112))),bind(Y0,$fot(difference(difference(X_109,X_112),X_110)))]]) ).
cnf(refute_0_553,plain,
difference(difference(X_109,X_112),X_110) = difference(difference(X_109,X_110),X_112),
inference(resolve,[$cnf( $equal(difference(difference(X_109,X_110),X_112),difference(difference(X_109,X_112),X_110)) )],[refute_0_551,refute_0_552]) ).
cnf(refute_0_554,plain,
difference(difference(X_40,difference(X_6,X_41)),X_41) = difference(difference(X_40,X_41),difference(X_6,X_41)),
inference(subst,[],[refute_0_553:[bind(X_109,$fot(X_40)),bind(X_110,$fot(X_41)),bind(X_112,$fot(difference(X_6,X_41)))]]) ).
cnf(refute_0_555,plain,
difference(difference(X_40,X_41),difference(X_40,X_6)) = difference(X_40,difference(X_40,difference(X_6,X_41))),
inference(subst,[],[refute_0_517:[bind(X_23,$fot(X_6))]]) ).
cnf(refute_0_556,plain,
difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6))) = difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6))),
introduced(tautology,[refl,[$fot(difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6))))]]) ).
cnf(refute_0_557,plain,
( difference(difference(X_40,X_41),difference(X_40,X_6)) != difference(X_40,difference(X_40,difference(X_6,X_41)))
| difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6))) != difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6)))
| difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6))) = difference(difference(X_6,X_8),difference(X_40,difference(X_40,difference(X_6,X_41)))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6))),difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6)))) ),[1,1],$fot(difference(X_40,difference(X_40,difference(X_6,X_41))))]]) ).
cnf(refute_0_558,plain,
( difference(difference(X_40,X_41),difference(X_40,X_6)) != difference(X_40,difference(X_40,difference(X_6,X_41)))
| difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6))) = difference(difference(X_6,X_8),difference(X_40,difference(X_40,difference(X_6,X_41)))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6))),difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6)))) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6))) = difference(difference(X_6,X_8),difference(X_40,difference(X_40,difference(X_6,X_41)))),
inference(resolve,[$cnf( $equal(difference(difference(X_40,X_41),difference(X_40,X_6)),difference(X_40,difference(X_40,difference(X_6,X_41)))) )],[refute_0_555,refute_0_558]) ).
cnf(refute_0_560,plain,
( difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6))) != difference(difference(X_6,X_8),difference(X_40,difference(X_40,difference(X_6,X_41))))
| difference(difference(X_6,difference(X_40,X_41)),X_8) != difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6)))
| difference(difference(X_6,difference(X_40,X_41)),X_8) = difference(difference(X_6,X_8),difference(X_40,difference(X_40,difference(X_6,X_41)))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_6,difference(X_40,X_41)),X_8),difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6)))) ),[1],$fot(difference(difference(X_6,X_8),difference(X_40,difference(X_40,difference(X_6,X_41)))))]]) ).
cnf(refute_0_561,plain,
( difference(difference(X_6,difference(X_40,X_41)),X_8) != difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6)))
| difference(difference(X_6,difference(X_40,X_41)),X_8) = difference(difference(X_6,X_8),difference(X_40,difference(X_40,difference(X_6,X_41)))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6))),difference(difference(X_6,X_8),difference(X_40,difference(X_40,difference(X_6,X_41))))) )],[refute_0_559,refute_0_560]) ).
cnf(refute_0_562,plain,
difference(difference(X_6,difference(X_40,X_41)),X_8) = difference(difference(X_6,X_8),difference(X_40,difference(X_40,difference(X_6,X_41)))),
inference(resolve,[$cnf( $equal(difference(difference(X_6,difference(X_40,X_41)),X_8),difference(difference(X_6,X_8),difference(difference(X_40,X_41),difference(X_40,X_6)))) )],[refute_0_437,refute_0_561]) ).
cnf(refute_0_563,plain,
( difference(difference(X_6,difference(X_40,X_41)),X_8) != difference(difference(X_6,X_8),difference(X_40,difference(X_40,difference(X_6,X_41))))
| difference(difference(X_6,X_8),difference(X_40,difference(X_40,difference(X_6,X_41)))) = difference(difference(X_6,difference(X_40,X_41)),X_8) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(difference(X_6,difference(X_40,X_41)),X_8))),bind(Y0,$fot(difference(difference(X_6,X_8),difference(X_40,difference(X_40,difference(X_6,X_41))))))]]) ).
cnf(refute_0_564,plain,
difference(difference(X_6,X_8),difference(X_40,difference(X_40,difference(X_6,X_41)))) = difference(difference(X_6,difference(X_40,X_41)),X_8),
inference(resolve,[$cnf( $equal(difference(difference(X_6,difference(X_40,X_41)),X_8),difference(difference(X_6,X_8),difference(X_40,difference(X_40,difference(X_6,X_41))))) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
difference(difference(X_40,X_41),difference(X_6,difference(X_6,difference(X_40,X_41)))) = difference(difference(X_40,difference(X_6,X_41)),X_41),
inference(subst,[],[refute_0_564:[bind(X_40,$fot(X_6)),bind(X_6,$fot(X_40)),bind(X_8,$fot(X_41))]]) ).
cnf(refute_0_566,plain,
( difference(difference(X_40,X_41),difference(X_6,difference(X_6,difference(X_40,X_41)))) != difference(difference(X_40,difference(X_6,X_41)),X_41)
| difference(difference(X_40,difference(X_6,X_41)),X_41) != difference(difference(X_40,X_41),difference(X_6,X_41))
| difference(difference(X_40,X_41),difference(X_6,difference(X_6,difference(X_40,X_41)))) = difference(difference(X_40,X_41),difference(X_6,X_41)) ),
inference(subst,[],[refute_0_160:[bind(X0,$fot(difference(difference(X_40,X_41),difference(X_6,difference(X_6,difference(X_40,X_41)))))),bind(Y0,$fot(difference(difference(X_40,difference(X_6,X_41)),X_41))),bind(Z0,$fot(difference(difference(X_40,X_41),difference(X_6,X_41))))]]) ).
cnf(refute_0_567,plain,
( difference(difference(X_40,difference(X_6,X_41)),X_41) != difference(difference(X_40,X_41),difference(X_6,X_41))
| difference(difference(X_40,X_41),difference(X_6,difference(X_6,difference(X_40,X_41)))) = difference(difference(X_40,X_41),difference(X_6,X_41)) ),
inference(resolve,[$cnf( $equal(difference(difference(X_40,X_41),difference(X_6,difference(X_6,difference(X_40,X_41)))),difference(difference(X_40,difference(X_6,X_41)),X_41)) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
difference(difference(X_40,X_41),difference(X_6,difference(X_6,difference(X_40,X_41)))) = difference(difference(X_40,X_41),difference(X_6,X_41)),
inference(resolve,[$cnf( $equal(difference(difference(X_40,difference(X_6,X_41)),X_41),difference(difference(X_40,X_41),difference(X_6,X_41))) )],[refute_0_554,refute_0_567]) ).
cnf(refute_0_569,plain,
difference(difference(X_6,X_41),difference(X_6,X_40)) = difference(X_6,difference(X_6,difference(X_40,X_41))),
inference(subst,[],[refute_0_517:[bind(X_23,$fot(X_40)),bind(X_40,$fot(X_6))]]) ).
cnf(refute_0_570,plain,
difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40))) = difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40))),
introduced(tautology,[refl,[$fot(difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40))))]]) ).
cnf(refute_0_571,plain,
( difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40))) != difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40)))
| difference(difference(X_6,X_41),difference(X_6,X_40)) != difference(X_6,difference(X_6,difference(X_40,X_41)))
| difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40))) = difference(difference(X_40,X_41),difference(X_6,difference(X_6,difference(X_40,X_41)))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40))),difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40)))) ),[1,1],$fot(difference(X_6,difference(X_6,difference(X_40,X_41))))]]) ).
cnf(refute_0_572,plain,
( difference(difference(X_6,X_41),difference(X_6,X_40)) != difference(X_6,difference(X_6,difference(X_40,X_41)))
| difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40))) = difference(difference(X_40,X_41),difference(X_6,difference(X_6,difference(X_40,X_41)))) ),
inference(resolve,[$cnf( $equal(difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40))),difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40)))) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40))) = difference(difference(X_40,X_41),difference(X_6,difference(X_6,difference(X_40,X_41)))),
inference(resolve,[$cnf( $equal(difference(difference(X_6,X_41),difference(X_6,X_40)),difference(X_6,difference(X_6,difference(X_40,X_41)))) )],[refute_0_569,refute_0_572]) ).
cnf(refute_0_574,plain,
( difference(difference(X_40,X_41),difference(X_6,difference(X_6,difference(X_40,X_41)))) != difference(difference(X_40,X_41),difference(X_6,X_41))
| difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40))) != difference(difference(X_40,X_41),difference(X_6,difference(X_6,difference(X_40,X_41))))
| difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40))) = difference(difference(X_40,X_41),difference(X_6,X_41)) ),
inference(subst,[],[refute_0_160:[bind(X0,$fot(difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40))))),bind(Y0,$fot(difference(difference(X_40,X_41),difference(X_6,difference(X_6,difference(X_40,X_41)))))),bind(Z0,$fot(difference(difference(X_40,X_41),difference(X_6,X_41))))]]) ).
cnf(refute_0_575,plain,
( difference(difference(X_40,X_41),difference(X_6,difference(X_6,difference(X_40,X_41)))) != difference(difference(X_40,X_41),difference(X_6,X_41))
| difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40))) = difference(difference(X_40,X_41),difference(X_6,X_41)) ),
inference(resolve,[$cnf( $equal(difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40))),difference(difference(X_40,X_41),difference(X_6,difference(X_6,difference(X_40,X_41))))) )],[refute_0_573,refute_0_574]) ).
cnf(refute_0_576,plain,
difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40))) = difference(difference(X_40,X_41),difference(X_6,X_41)),
inference(resolve,[$cnf( $equal(difference(difference(X_40,X_41),difference(X_6,difference(X_6,difference(X_40,X_41)))),difference(difference(X_40,X_41),difference(X_6,X_41))) )],[refute_0_568,refute_0_575]) ).
cnf(refute_0_577,plain,
( difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40))) != difference(difference(X_40,X_41),difference(X_6,X_41))
| difference(difference(X_40,X_6),X_41) != difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40)))
| difference(difference(X_40,X_6),X_41) = difference(difference(X_40,X_41),difference(X_6,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(X_40,X_6),X_41),difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40)))) ),[1],$fot(difference(difference(X_40,X_41),difference(X_6,X_41)))]]) ).
cnf(refute_0_578,plain,
( difference(difference(X_40,X_6),X_41) != difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40)))
| difference(difference(X_40,X_6),X_41) = difference(difference(X_40,X_41),difference(X_6,X_41)) ),
inference(resolve,[$cnf( $equal(difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40))),difference(difference(X_40,X_41),difference(X_6,X_41))) )],[refute_0_576,refute_0_577]) ).
cnf(refute_0_579,plain,
( difference(difference(X_40,X_6),difference(difference(X_40,X_6),difference(X_40,X_41))) != difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40)))
| difference(difference(X_40,X_6),X_41) = difference(difference(X_40,X_41),difference(X_6,X_41)) ),
inference(resolve,[$cnf( $equal(difference(difference(X_40,X_6),X_41),difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40)))) )],[refute_0_543,refute_0_578]) ).
cnf(refute_0_580,plain,
difference(difference(X_40,X_6),X_41) = difference(difference(X_40,X_41),difference(X_6,X_41)),
inference(resolve,[$cnf( $equal(difference(difference(X_40,X_6),difference(difference(X_40,X_6),difference(X_40,X_41))),difference(difference(X_40,X_41),difference(difference(X_6,X_41),difference(X_6,X_40)))) )],[refute_0_19,refute_0_579]) ).
cnf(refute_0_581,plain,
( difference(difference(X_40,X_6),X_41) != difference(difference(X_40,X_41),difference(X_6,X_41))
| difference(difference(X_40,X_41),difference(X_6,X_41)) = difference(difference(X_40,X_6),X_41) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(difference(difference(X_40,X_6),X_41))),bind(Y0,$fot(difference(difference(X_40,X_41),difference(X_6,X_41))))]]) ).
cnf(refute_0_582,plain,
difference(difference(X_40,X_41),difference(X_6,X_41)) = difference(difference(X_40,X_6),X_41),
inference(resolve,[$cnf( $equal(difference(difference(X_40,X_6),X_41),difference(difference(X_40,X_41),difference(X_6,X_41))) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
difference(difference(a,c),difference(b,c)) = difference(difference(a,b),c),
inference(subst,[],[refute_0_582:[bind(X_40,$fot(a)),bind(X_41,$fot(c)),bind(X_6,$fot(b))]]) ).
cnf(refute_0_584,plain,
( difference(difference(a,b),c) != difference(difference(a,b),c)
| difference(difference(a,c),difference(b,c)) != difference(difference(a,b),c)
| difference(difference(a,b),c) = difference(difference(a,c),difference(b,c)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(difference(difference(a,b),c),difference(difference(a,c),difference(b,c))) ),[1],$fot(difference(difference(a,b),c))]]) ).
cnf(refute_0_585,plain,
( difference(difference(a,b),c) != difference(difference(a,b),c)
| difference(difference(a,b),c) = difference(difference(a,c),difference(b,c)) ),
inference(resolve,[$cnf( $equal(difference(difference(a,c),difference(b,c)),difference(difference(a,b),c)) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
difference(difference(a,b),c) != difference(difference(a,b),c),
inference(resolve,[$cnf( $equal(difference(difference(a,b),c),difference(difference(a,c),difference(b,c))) )],[refute_0_585,prove_set_difference_3]) ).
cnf(refute_0_587,plain,
difference(difference(a,b),c) = difference(difference(a,b),c),
introduced(tautology,[refl,[$fot(difference(difference(a,b),c))]]) ).
cnf(refute_0_588,plain,
$false,
inference(resolve,[$cnf( $equal(difference(difference(a,b),c),difference(difference(a,b),c)) )],[refute_0_587,refute_0_586]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG007-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 12:56:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 14.64/14.85 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.64/14.85
% 14.64/14.85 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.77/14.92
%------------------------------------------------------------------------------