TSTP Solution File: ALG245-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG245-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 17:39:48 EDT 2022
% Result : Unsatisfiable 1.42s 1.67s
% Output : CNFRefutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 54
% Syntax : Number of clauses : 208 ( 108 unt; 0 nHn; 102 RR)
% Number of literals : 352 ( 351 equ; 146 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 603 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c01,axiom,
mult(A,mult(B,C)) = mult(mult(A,B),mult(A,C)) ).
cnf(c02,axiom,
mult(mult(A,B),C) = mult(mult(A,C),mult(B,C)) ).
cnf(c03,axiom,
mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))) = mult(mult(A,C),mult(B,D)) ).
cnf(c04,axiom,
mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,C),mult(B,D))) = mult(mult(A,B),mult(C,D)) ).
cnf(c05,axiom,
mult(A,A) = A ).
cnf(goals,negated_conjecture,
mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))) != mult(mult(mult(a,c),mult(b,d)),mult(mult(a,b),mult(c,d))) ).
cnf(refute_0_0,plain,
mult(mult(X_21,X_22),mult(mult(X_22,C),C)) = mult(mult(mult(X_21,X_22),mult(X_22,C)),mult(mult(X_21,X_22),C)),
inference(subst,[],[c01:[bind(A,$fot(mult(X_21,X_22))),bind(B,$fot(mult(X_22,C)))]]) ).
cnf(refute_0_1,plain,
mult(mult(A,mult(X_1,X_3)),mult(X_2,X_3)) = mult(mult(A,mult(X_2,X_3)),mult(mult(X_1,X_3),mult(X_2,X_3))),
inference(subst,[],[c02:[bind(B,$fot(mult(X_1,X_3))),bind(C,$fot(mult(X_2,X_3)))]]) ).
cnf(refute_0_2,plain,
mult(mult(X_1,X_2),X_3) = mult(mult(X_1,X_3),mult(X_2,X_3)),
inference(subst,[],[c02:[bind(A,$fot(X_1)),bind(B,$fot(X_2)),bind(C,$fot(X_3))]]) ).
cnf(refute_0_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( mult(mult(X_1,X_2),X_3) != mult(mult(X_1,X_3),mult(X_2,X_3))
| mult(mult(X_1,X_3),mult(X_2,X_3)) = mult(mult(X_1,X_2),X_3) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(mult(mult(X_1,X_2),X_3))),bind(Y,$fot(mult(mult(X_1,X_3),mult(X_2,X_3))))]]) ).
cnf(refute_0_7,plain,
mult(mult(X_1,X_3),mult(X_2,X_3)) = mult(mult(X_1,X_2),X_3),
inference(resolve,[$cnf( $equal(mult(mult(X_1,X_2),X_3),mult(mult(X_1,X_3),mult(X_2,X_3))) )],[refute_0_2,refute_0_6]) ).
cnf(refute_0_8,plain,
( mult(mult(A,mult(X_1,X_3)),mult(X_2,X_3)) != mult(mult(A,mult(X_2,X_3)),mult(mult(X_1,X_3),mult(X_2,X_3)))
| mult(mult(X_1,X_3),mult(X_2,X_3)) != mult(mult(X_1,X_2),X_3)
| mult(mult(A,mult(X_1,X_3)),mult(X_2,X_3)) = mult(mult(A,mult(X_2,X_3)),mult(mult(X_1,X_2),X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(A,mult(X_1,X_3)),mult(X_2,X_3)),mult(mult(A,mult(X_2,X_3)),mult(mult(X_1,X_3),mult(X_2,X_3)))) ),[1,1],$fot(mult(mult(X_1,X_2),X_3))]]) ).
cnf(refute_0_9,plain,
( mult(mult(A,mult(X_1,X_3)),mult(X_2,X_3)) != mult(mult(A,mult(X_2,X_3)),mult(mult(X_1,X_3),mult(X_2,X_3)))
| mult(mult(A,mult(X_1,X_3)),mult(X_2,X_3)) = mult(mult(A,mult(X_2,X_3)),mult(mult(X_1,X_2),X_3)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_1,X_3),mult(X_2,X_3)),mult(mult(X_1,X_2),X_3)) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
mult(mult(A,mult(X_1,X_3)),mult(X_2,X_3)) = mult(mult(A,mult(X_2,X_3)),mult(mult(X_1,X_2),X_3)),
inference(resolve,[$cnf( $equal(mult(mult(A,mult(X_1,X_3)),mult(X_2,X_3)),mult(mult(A,mult(X_2,X_3)),mult(mult(X_1,X_3),mult(X_2,X_3)))) )],[refute_0_1,refute_0_9]) ).
cnf(refute_0_11,plain,
mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C)) = mult(mult(mult(X_21,X_22),mult(X_22,C)),mult(mult(X_21,X_22),C)),
inference(subst,[],[refute_0_10:[bind(A,$fot(mult(X_21,X_22))),bind(X_1,$fot(X_21)),bind(X_2,$fot(X_22)),bind(X_3,$fot(C))]]) ).
cnf(refute_0_12,plain,
( mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C)) != mult(mult(mult(X_21,X_22),mult(X_22,C)),mult(mult(X_21,X_22),C))
| mult(mult(mult(X_21,X_22),mult(X_22,C)),mult(mult(X_21,X_22),C)) = mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C)))),bind(Y,$fot(mult(mult(mult(X_21,X_22),mult(X_22,C)),mult(mult(X_21,X_22),C))))]]) ).
cnf(refute_0_13,plain,
mult(mult(mult(X_21,X_22),mult(X_22,C)),mult(mult(X_21,X_22),C)) = mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C)),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C)),mult(mult(mult(X_21,X_22),mult(X_22,C)),mult(mult(X_21,X_22),C))) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( mult(mult(X_21,X_22),mult(mult(X_22,C),C)) != mult(mult(mult(X_21,X_22),mult(X_22,C)),mult(mult(X_21,X_22),C))
| mult(mult(mult(X_21,X_22),mult(X_22,C)),mult(mult(X_21,X_22),C)) != mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C))
| mult(mult(X_21,X_22),mult(mult(X_22,C),C)) = mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(X_21,X_22),mult(mult(X_22,C),C)),mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C))) ),[0],$fot(mult(mult(mult(X_21,X_22),mult(X_22,C)),mult(mult(X_21,X_22),C)))]]) ).
cnf(refute_0_15,plain,
( mult(mult(X_21,X_22),mult(mult(X_22,C),C)) != mult(mult(mult(X_21,X_22),mult(X_22,C)),mult(mult(X_21,X_22),C))
| mult(mult(X_21,X_22),mult(mult(X_22,C),C)) = mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_21,X_22),mult(X_22,C)),mult(mult(X_21,X_22),C)),mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C))) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
mult(mult(X_21,X_22),mult(mult(X_22,C),C)) = mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C)),
inference(resolve,[$cnf( $equal(mult(mult(X_21,X_22),mult(mult(X_22,C),C)),mult(mult(mult(X_21,X_22),mult(X_22,C)),mult(mult(X_21,X_22),C))) )],[refute_0_0,refute_0_15]) ).
cnf(refute_0_17,plain,
( mult(A,mult(B,C)) != mult(mult(A,B),mult(A,C))
| mult(mult(A,B),mult(A,C)) = mult(A,mult(B,C)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(mult(A,mult(B,C)))),bind(Y,$fot(mult(mult(A,B),mult(A,C))))]]) ).
cnf(refute_0_18,plain,
mult(mult(A,B),mult(A,C)) = mult(A,mult(B,C)),
inference(resolve,[$cnf( $equal(mult(A,mult(B,C)),mult(mult(A,B),mult(A,C))) )],[c01,refute_0_17]) ).
cnf(refute_0_19,plain,
mult(mult(X_21,X_22),mult(X_21,C)) = mult(X_21,mult(X_22,C)),
inference(subst,[],[refute_0_18:[bind(A,$fot(X_21)),bind(B,$fot(X_22))]]) ).
cnf(refute_0_20,plain,
mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C)) = mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C)),
introduced(tautology,[refl,[$fot(mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C)))]]) ).
cnf(refute_0_21,plain,
( mult(mult(X_21,X_22),mult(X_21,C)) != mult(X_21,mult(X_22,C))
| mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C)) != mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C))
| mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C)) = mult(mult(X_21,mult(X_22,C)),mult(X_22,C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C)),mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C))) ),[1,0],$fot(mult(X_21,mult(X_22,C)))]]) ).
cnf(refute_0_22,plain,
( mult(mult(X_21,X_22),mult(X_21,C)) != mult(X_21,mult(X_22,C))
| mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C)) = mult(mult(X_21,mult(X_22,C)),mult(X_22,C)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C)),mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C)) = mult(mult(X_21,mult(X_22,C)),mult(X_22,C)),
inference(resolve,[$cnf( $equal(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_21,mult(X_22,C))) )],[refute_0_19,refute_0_22]) ).
cnf(refute_0_24,plain,
( mult(mult(X_21,X_22),mult(mult(X_22,C),C)) != mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C))
| mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C)) != mult(mult(X_21,mult(X_22,C)),mult(X_22,C))
| mult(mult(X_21,X_22),mult(mult(X_22,C),C)) = mult(mult(X_21,mult(X_22,C)),mult(X_22,C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(X_21,X_22),mult(mult(X_22,C),C)),mult(mult(X_21,mult(X_22,C)),mult(X_22,C))) ),[0],$fot(mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C)))]]) ).
cnf(refute_0_25,plain,
( mult(mult(X_21,X_22),mult(mult(X_22,C),C)) != mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C))
| mult(mult(X_21,X_22),mult(mult(X_22,C),C)) = mult(mult(X_21,mult(X_22,C)),mult(X_22,C)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C)),mult(mult(X_21,mult(X_22,C)),mult(X_22,C))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
mult(mult(X_21,X_22),mult(mult(X_22,C),C)) = mult(mult(X_21,mult(X_22,C)),mult(X_22,C)),
inference(resolve,[$cnf( $equal(mult(mult(X_21,X_22),mult(mult(X_22,C),C)),mult(mult(mult(X_21,X_22),mult(X_21,C)),mult(X_22,C))) )],[refute_0_16,refute_0_25]) ).
cnf(refute_0_27,plain,
mult(mult(mult(X_53,X_6),mult(X_53,X_6)),mult(mult(mult(X_53,X_6),X_53),X_53)) = mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53)),
inference(subst,[],[refute_0_26:[bind(C,$fot(X_53)),bind(X_21,$fot(mult(X_53,X_6))),bind(X_22,$fot(mult(X_53,X_6)))]]) ).
cnf(refute_0_28,plain,
mult(mult(X_4,X_5),mult(mult(X_4,X_6),C)) = mult(mult(mult(X_4,X_5),mult(X_4,X_6)),mult(mult(X_4,X_5),C)),
inference(subst,[],[c01:[bind(A,$fot(mult(X_4,X_5))),bind(B,$fot(mult(X_4,X_6)))]]) ).
cnf(refute_0_29,plain,
mult(X_4,mult(X_5,X_6)) = mult(mult(X_4,X_5),mult(X_4,X_6)),
inference(subst,[],[c01:[bind(A,$fot(X_4)),bind(B,$fot(X_5)),bind(C,$fot(X_6))]]) ).
cnf(refute_0_30,plain,
( mult(X_4,mult(X_5,X_6)) != mult(mult(X_4,X_5),mult(X_4,X_6))
| mult(mult(X_4,X_5),mult(X_4,X_6)) = mult(X_4,mult(X_5,X_6)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(mult(X_4,mult(X_5,X_6)))),bind(Y,$fot(mult(mult(X_4,X_5),mult(X_4,X_6))))]]) ).
cnf(refute_0_31,plain,
mult(mult(X_4,X_5),mult(X_4,X_6)) = mult(X_4,mult(X_5,X_6)),
inference(resolve,[$cnf( $equal(mult(X_4,mult(X_5,X_6)),mult(mult(X_4,X_5),mult(X_4,X_6))) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
( mult(mult(X_4,X_5),mult(X_4,X_6)) != mult(X_4,mult(X_5,X_6))
| mult(mult(X_4,X_5),mult(mult(X_4,X_6),C)) != mult(mult(mult(X_4,X_5),mult(X_4,X_6)),mult(mult(X_4,X_5),C))
| mult(mult(X_4,X_5),mult(mult(X_4,X_6),C)) = mult(mult(X_4,mult(X_5,X_6)),mult(mult(X_4,X_5),C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_4,X_5),mult(mult(X_4,X_6),C)),mult(mult(mult(X_4,X_5),mult(X_4,X_6)),mult(mult(X_4,X_5),C))) ),[1,0],$fot(mult(X_4,mult(X_5,X_6)))]]) ).
cnf(refute_0_33,plain,
( mult(mult(X_4,X_5),mult(mult(X_4,X_6),C)) != mult(mult(mult(X_4,X_5),mult(X_4,X_6)),mult(mult(X_4,X_5),C))
| mult(mult(X_4,X_5),mult(mult(X_4,X_6),C)) = mult(mult(X_4,mult(X_5,X_6)),mult(mult(X_4,X_5),C)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_4,X_5),mult(X_4,X_6)),mult(X_4,mult(X_5,X_6))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
mult(mult(X_4,X_5),mult(mult(X_4,X_6),C)) = mult(mult(X_4,mult(X_5,X_6)),mult(mult(X_4,X_5),C)),
inference(resolve,[$cnf( $equal(mult(mult(X_4,X_5),mult(mult(X_4,X_6),C)),mult(mult(mult(X_4,X_5),mult(X_4,X_6)),mult(mult(X_4,X_5),C))) )],[refute_0_28,refute_0_33]) ).
cnf(refute_0_35,plain,
mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)) = mult(mult(mult(X_53,X_6),mult(X_53,X_6)),mult(mult(mult(X_53,X_6),X_53),X_53)),
inference(subst,[],[refute_0_34:[bind(C,$fot(X_53)),bind(X_4,$fot(mult(X_53,X_6))),bind(X_5,$fot(X_53))]]) ).
cnf(refute_0_36,plain,
( mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)) != mult(mult(mult(X_53,X_6),mult(X_53,X_6)),mult(mult(mult(X_53,X_6),X_53),X_53))
| mult(mult(mult(X_53,X_6),mult(X_53,X_6)),mult(mult(mult(X_53,X_6),X_53),X_53)) = mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)))),bind(Y,$fot(mult(mult(mult(X_53,X_6),mult(X_53,X_6)),mult(mult(mult(X_53,X_6),X_53),X_53))))]]) ).
cnf(refute_0_37,plain,
mult(mult(mult(X_53,X_6),mult(X_53,X_6)),mult(mult(mult(X_53,X_6),X_53),X_53)) = mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)),mult(mult(mult(X_53,X_6),mult(X_53,X_6)),mult(mult(mult(X_53,X_6),X_53),X_53))) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
( mult(mult(mult(X_53,X_6),mult(X_53,X_6)),mult(mult(mult(X_53,X_6),X_53),X_53)) != mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53))
| mult(mult(mult(X_53,X_6),mult(X_53,X_6)),mult(mult(mult(X_53,X_6),X_53),X_53)) != mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53))
| mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)) = mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_53,X_6),mult(X_53,X_6)),mult(mult(mult(X_53,X_6),X_53),X_53)),mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53))) ),[0],$fot(mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)))]]) ).
cnf(refute_0_39,plain,
( mult(mult(mult(X_53,X_6),mult(X_53,X_6)),mult(mult(mult(X_53,X_6),X_53),X_53)) != mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53))
| mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)) = mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_53,X_6),mult(X_53,X_6)),mult(mult(mult(X_53,X_6),X_53),X_53)),mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)) = mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53)),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_53,X_6),mult(X_53,X_6)),mult(mult(mult(X_53,X_6),X_53),X_53)),mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53))) )],[refute_0_27,refute_0_39]) ).
cnf(refute_0_41,plain,
( mult(mult(A,B),C) != mult(mult(A,C),mult(B,C))
| mult(mult(A,C),mult(B,C)) = mult(mult(A,B),C) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(mult(mult(A,B),C))),bind(Y,$fot(mult(mult(A,C),mult(B,C))))]]) ).
cnf(refute_0_42,plain,
mult(mult(A,C),mult(B,C)) = mult(mult(A,B),C),
inference(resolve,[$cnf( $equal(mult(mult(A,B),C),mult(mult(A,C),mult(B,C))) )],[c02,refute_0_41]) ).
cnf(refute_0_43,plain,
mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_6)) = mult(mult(X_53,mult(X_53,X_6)),X_6),
inference(subst,[],[refute_0_42:[bind(A,$fot(X_53)),bind(B,$fot(mult(X_53,X_6))),bind(C,$fot(X_6))]]) ).
cnf(refute_0_44,plain,
mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_6)),X_53) = mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_6)),X_53),
introduced(tautology,[refl,[$fot(mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_6)),X_53))]]) ).
cnf(refute_0_45,plain,
( mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_6)) != mult(mult(X_53,mult(X_53,X_6)),X_6)
| mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_6)),X_53) != mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_6)),X_53)
| mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_6)),X_53) = mult(mult(mult(X_53,mult(X_53,X_6)),X_6),X_53) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_6)),X_53),mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_6)),X_53)) ),[1,0],$fot(mult(mult(X_53,mult(X_53,X_6)),X_6))]]) ).
cnf(refute_0_46,plain,
( mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_6)) != mult(mult(X_53,mult(X_53,X_6)),X_6)
| mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_6)),X_53) = mult(mult(mult(X_53,mult(X_53,X_6)),X_6),X_53) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_6)),X_53),mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_6)),X_53)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_6)),X_53) = mult(mult(mult(X_53,mult(X_53,X_6)),X_6),X_53),
inference(resolve,[$cnf( $equal(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_6)),mult(mult(X_53,mult(X_53,X_6)),X_6)) )],[refute_0_43,refute_0_46]) ).
cnf(refute_0_48,plain,
mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)) = mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_6)),X_53),
inference(subst,[],[refute_0_42:[bind(A,$fot(mult(X_53,X_6))),bind(B,$fot(mult(mult(X_53,X_6),X_6))),bind(C,$fot(X_53))]]) ).
cnf(refute_0_49,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_50,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_5,refute_0_49]) ).
cnf(refute_0_51,plain,
( mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)) != mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_6)),X_53)
| mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_6)),X_53) != mult(mult(mult(X_53,mult(X_53,X_6)),X_6),X_53)
| mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)) = mult(mult(mult(X_53,mult(X_53,X_6)),X_6),X_53) ),
inference(subst,[],[refute_0_50:[bind(X,$fot(mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)))),bind(Y,$fot(mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_6)),X_53))),bind(Z,$fot(mult(mult(mult(X_53,mult(X_53,X_6)),X_6),X_53)))]]) ).
cnf(refute_0_52,plain,
( mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_6)),X_53) != mult(mult(mult(X_53,mult(X_53,X_6)),X_6),X_53)
| mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)) = mult(mult(mult(X_53,mult(X_53,X_6)),X_6),X_53) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)),mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_6)),X_53)) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)) = mult(mult(mult(X_53,mult(X_53,X_6)),X_6),X_53),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_6)),X_53),mult(mult(mult(X_53,mult(X_53,X_6)),X_6),X_53)) )],[refute_0_47,refute_0_52]) ).
cnf(refute_0_54,plain,
( mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)) != mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53))
| mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)) != mult(mult(mult(X_53,mult(X_53,X_6)),X_6),X_53)
| mult(mult(mult(X_53,mult(X_53,X_6)),X_6),X_53) = mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)),mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53))) ),[0],$fot(mult(mult(mult(X_53,mult(X_53,X_6)),X_6),X_53))]]) ).
cnf(refute_0_55,plain,
( mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)) != mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53))
| mult(mult(mult(X_53,mult(X_53,X_6)),X_6),X_53) = mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)),mult(mult(mult(X_53,mult(X_53,X_6)),X_6),X_53)) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
mult(mult(X_53,X_6),mult(X_53,mult(mult(X_6,X_53),X_53))) = mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53))),
inference(subst,[],[refute_0_18:[bind(A,$fot(X_53)),bind(B,$fot(X_6)),bind(C,$fot(mult(mult(X_6,X_53),X_53)))]]) ).
cnf(refute_0_57,plain,
mult(mult(X_3,X_2),X_3) = mult(mult(X_3,X_3),mult(X_2,X_3)),
inference(subst,[],[c02:[bind(A,$fot(X_3)),bind(B,$fot(X_2)),bind(C,$fot(X_3))]]) ).
cnf(refute_0_58,plain,
mult(X_3,X_3) = X_3,
inference(subst,[],[c05:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_59,plain,
( mult(X_3,X_3) != X_3
| mult(mult(X_3,X_2),X_3) != mult(mult(X_3,X_3),mult(X_2,X_3))
| mult(mult(X_3,X_2),X_3) = mult(X_3,mult(X_2,X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_3,X_2),X_3),mult(mult(X_3,X_3),mult(X_2,X_3))) ),[1,0],$fot(X_3)]]) ).
cnf(refute_0_60,plain,
( mult(mult(X_3,X_2),X_3) != mult(mult(X_3,X_3),mult(X_2,X_3))
| mult(mult(X_3,X_2),X_3) = mult(X_3,mult(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(mult(X_3,X_3),X_3) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
mult(mult(X_3,X_2),X_3) = mult(X_3,mult(X_2,X_3)),
inference(resolve,[$cnf( $equal(mult(mult(X_3,X_2),X_3),mult(mult(X_3,X_3),mult(X_2,X_3))) )],[refute_0_57,refute_0_60]) ).
cnf(refute_0_62,plain,
mult(mult(X_53,mult(X_6,X_53)),X_53) = mult(X_53,mult(mult(X_6,X_53),X_53)),
inference(subst,[],[refute_0_61:[bind(X_2,$fot(mult(X_6,X_53))),bind(X_3,$fot(X_53))]]) ).
cnf(refute_0_63,plain,
mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53)) = mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53)),
introduced(tautology,[refl,[$fot(mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53)))]]) ).
cnf(refute_0_64,plain,
( mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53)) != mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53))
| mult(mult(X_53,mult(X_6,X_53)),X_53) != mult(X_53,mult(mult(X_6,X_53),X_53))
| mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53)) = mult(mult(X_53,X_6),mult(X_53,mult(mult(X_6,X_53),X_53))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53)),mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53))) ),[1,1],$fot(mult(X_53,mult(mult(X_6,X_53),X_53)))]]) ).
cnf(refute_0_65,plain,
( mult(mult(X_53,mult(X_6,X_53)),X_53) != mult(X_53,mult(mult(X_6,X_53),X_53))
| mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53)) = mult(mult(X_53,X_6),mult(X_53,mult(mult(X_6,X_53),X_53))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53)),mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53))) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53)) = mult(mult(X_53,X_6),mult(X_53,mult(mult(X_6,X_53),X_53))),
inference(resolve,[$cnf( $equal(mult(mult(X_53,mult(X_6,X_53)),X_53),mult(X_53,mult(mult(X_6,X_53),X_53))) )],[refute_0_62,refute_0_65]) ).
cnf(refute_0_67,plain,
( mult(mult(X_53,X_6),mult(X_53,mult(mult(X_6,X_53),X_53))) != mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53)))
| mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53)) != mult(mult(X_53,X_6),mult(X_53,mult(mult(X_6,X_53),X_53)))
| mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53)) = mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53))) ),
inference(subst,[],[refute_0_50:[bind(X,$fot(mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53)))),bind(Y,$fot(mult(mult(X_53,X_6),mult(X_53,mult(mult(X_6,X_53),X_53))))),bind(Z,$fot(mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53)))))]]) ).
cnf(refute_0_68,plain,
( mult(mult(X_53,X_6),mult(X_53,mult(mult(X_6,X_53),X_53))) != mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53)))
| mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53)) = mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53)),mult(mult(X_53,X_6),mult(X_53,mult(mult(X_6,X_53),X_53)))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53)) = mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53))),
inference(resolve,[$cnf( $equal(mult(mult(X_53,X_6),mult(X_53,mult(mult(X_6,X_53),X_53))),mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53)))) )],[refute_0_56,refute_0_68]) ).
cnf(refute_0_70,plain,
mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)) = mult(mult(mult(X_29,X_30),mult(X_29,X_30)),mult(mult(mult(X_29,X_30),X_29),X_27)),
inference(subst,[],[refute_0_34:[bind(C,$fot(X_27)),bind(X_4,$fot(mult(X_29,X_30))),bind(X_5,$fot(X_29)),bind(X_6,$fot(X_30))]]) ).
cnf(refute_0_71,plain,
mult(mult(X_29,X_30),mult(X_29,X_30)) = mult(X_29,X_30),
inference(subst,[],[c05:[bind(A,$fot(mult(X_29,X_30)))]]) ).
cnf(refute_0_72,plain,
( mult(mult(X_29,X_30),mult(X_29,X_30)) != mult(X_29,X_30)
| mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)) != mult(mult(mult(X_29,X_30),mult(X_29,X_30)),mult(mult(mult(X_29,X_30),X_29),X_27))
| mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)) = mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)),mult(mult(mult(X_29,X_30),mult(X_29,X_30)),mult(mult(mult(X_29,X_30),X_29),X_27))) ),[1,0],$fot(mult(X_29,X_30))]]) ).
cnf(refute_0_73,plain,
( mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)) != mult(mult(mult(X_29,X_30),mult(X_29,X_30)),mult(mult(mult(X_29,X_30),X_29),X_27))
| mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)) = mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_29,X_30),mult(X_29,X_30)),mult(X_29,X_30)) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)) = mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27)),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)),mult(mult(mult(X_29,X_30),mult(X_29,X_30)),mult(mult(mult(X_29,X_30),X_29),X_27))) )],[refute_0_70,refute_0_73]) ).
cnf(refute_0_75,plain,
mult(mult(X_29,X_30),X_29) = mult(X_29,mult(X_30,X_29)),
inference(subst,[],[refute_0_61:[bind(X_2,$fot(X_30)),bind(X_3,$fot(X_29))]]) ).
cnf(refute_0_76,plain,
mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)) = mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)),
introduced(tautology,[refl,[$fot(mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)))]]) ).
cnf(refute_0_77,plain,
( mult(mult(X_29,X_30),X_29) != mult(X_29,mult(X_30,X_29))
| mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)) != mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27))
| mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)) = mult(mult(X_29,mult(X_30,X_29)),mult(mult(mult(X_29,X_30),X_30),X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)),mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27))) ),[1,0],$fot(mult(X_29,mult(X_30,X_29)))]]) ).
cnf(refute_0_78,plain,
( mult(mult(X_29,X_30),X_29) != mult(X_29,mult(X_30,X_29))
| mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)) = mult(mult(X_29,mult(X_30,X_29)),mult(mult(mult(X_29,X_30),X_30),X_27)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)),mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)) = mult(mult(X_29,mult(X_30,X_29)),mult(mult(mult(X_29,X_30),X_30),X_27)),
inference(resolve,[$cnf( $equal(mult(mult(X_29,X_30),X_29),mult(X_29,mult(X_30,X_29))) )],[refute_0_75,refute_0_78]) ).
cnf(refute_0_80,plain,
( mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)) != mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27))
| mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)) != mult(mult(X_29,mult(X_30,X_29)),mult(mult(mult(X_29,X_30),X_30),X_27))
| mult(mult(X_29,mult(X_30,X_29)),mult(mult(mult(X_29,X_30),X_30),X_27)) = mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)),mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27))) ),[0],$fot(mult(mult(X_29,mult(X_30,X_29)),mult(mult(mult(X_29,X_30),X_30),X_27)))]]) ).
cnf(refute_0_81,plain,
( mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)) != mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27))
| mult(mult(X_29,mult(X_30,X_29)),mult(mult(mult(X_29,X_30),X_30),X_27)) = mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)),mult(mult(X_29,mult(X_30,X_29)),mult(mult(mult(X_29,X_30),X_30),X_27))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
mult(mult(mult(X_29,X_30),X_29),X_27) = mult(mult(mult(X_29,X_30),X_29),X_27),
introduced(tautology,[refl,[$fot(mult(mult(mult(X_29,X_30),X_29),X_27))]]) ).
cnf(refute_0_83,plain,
( mult(mult(X_29,X_30),X_29) != mult(X_29,mult(X_30,X_29))
| mult(mult(mult(X_29,X_30),X_29),X_27) != mult(mult(mult(X_29,X_30),X_29),X_27)
| mult(mult(mult(X_29,X_30),X_29),X_27) = mult(mult(X_29,mult(X_30,X_29)),X_27) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_29,X_30),X_29),X_27),mult(mult(mult(X_29,X_30),X_29),X_27)) ),[1,0],$fot(mult(X_29,mult(X_30,X_29)))]]) ).
cnf(refute_0_84,plain,
( mult(mult(X_29,X_30),X_29) != mult(X_29,mult(X_30,X_29))
| mult(mult(mult(X_29,X_30),X_29),X_27) = mult(mult(X_29,mult(X_30,X_29)),X_27) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_29,X_30),X_29),X_27),mult(mult(mult(X_29,X_30),X_29),X_27)) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
mult(mult(mult(X_29,X_30),X_29),X_27) = mult(mult(X_29,mult(X_30,X_29)),X_27),
inference(resolve,[$cnf( $equal(mult(mult(X_29,X_30),X_29),mult(X_29,mult(X_30,X_29))) )],[refute_0_75,refute_0_84]) ).
cnf(refute_0_86,plain,
mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27)) = mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27)),
introduced(tautology,[refl,[$fot(mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27)))]]) ).
cnf(refute_0_87,plain,
( mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27)) != mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27))
| mult(mult(mult(X_29,X_30),X_29),X_27) != mult(mult(X_29,mult(X_30,X_29)),X_27)
| mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27)) = mult(mult(X_29,X_30),mult(mult(X_29,mult(X_30,X_29)),X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27)),mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27))) ),[1,1],$fot(mult(mult(X_29,mult(X_30,X_29)),X_27))]]) ).
cnf(refute_0_88,plain,
( mult(mult(mult(X_29,X_30),X_29),X_27) != mult(mult(X_29,mult(X_30,X_29)),X_27)
| mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27)) = mult(mult(X_29,X_30),mult(mult(X_29,mult(X_30,X_29)),X_27)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27)),mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27))) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27)) = mult(mult(X_29,X_30),mult(mult(X_29,mult(X_30,X_29)),X_27)),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_29,X_30),X_29),X_27),mult(mult(X_29,mult(X_30,X_29)),X_27)) )],[refute_0_85,refute_0_88]) ).
cnf(refute_0_90,plain,
( mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27)) != mult(mult(X_29,X_30),mult(mult(X_29,mult(X_30,X_29)),X_27))
| mult(mult(X_29,mult(X_30,X_29)),mult(mult(mult(X_29,X_30),X_30),X_27)) != mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27))
| mult(mult(X_29,mult(X_30,X_29)),mult(mult(mult(X_29,X_30),X_30),X_27)) = mult(mult(X_29,X_30),mult(mult(X_29,mult(X_30,X_29)),X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_29,mult(X_30,X_29)),mult(mult(mult(X_29,X_30),X_30),X_27)),mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27))) ),[1],$fot(mult(mult(X_29,X_30),mult(mult(X_29,mult(X_30,X_29)),X_27)))]]) ).
cnf(refute_0_91,plain,
( mult(mult(X_29,mult(X_30,X_29)),mult(mult(mult(X_29,X_30),X_30),X_27)) != mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27))
| mult(mult(X_29,mult(X_30,X_29)),mult(mult(mult(X_29,X_30),X_30),X_27)) = mult(mult(X_29,X_30),mult(mult(X_29,mult(X_30,X_29)),X_27)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27)),mult(mult(X_29,X_30),mult(mult(X_29,mult(X_30,X_29)),X_27))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
( mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)) != mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27))
| mult(mult(X_29,mult(X_30,X_29)),mult(mult(mult(X_29,X_30),X_30),X_27)) = mult(mult(X_29,X_30),mult(mult(X_29,mult(X_30,X_29)),X_27)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_29,mult(X_30,X_29)),mult(mult(mult(X_29,X_30),X_30),X_27)),mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27))) )],[refute_0_81,refute_0_91]) ).
cnf(refute_0_93,plain,
mult(mult(X_29,mult(X_30,X_29)),mult(mult(mult(X_29,X_30),X_30),X_27)) = mult(mult(X_29,X_30),mult(mult(X_29,mult(X_30,X_29)),X_27)),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_29,X_30),X_29),mult(mult(mult(X_29,X_30),X_30),X_27)),mult(mult(X_29,X_30),mult(mult(mult(X_29,X_30),X_29),X_27))) )],[refute_0_74,refute_0_92]) ).
cnf(refute_0_94,plain,
mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53)) = mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53)),
inference(subst,[],[refute_0_93:[bind(X_27,$fot(X_53)),bind(X_29,$fot(X_53)),bind(X_30,$fot(X_6))]]) ).
cnf(refute_0_95,plain,
( mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53)) != mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53)))
| mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53)) != mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53))
| mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53)) = mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53))) ),
inference(subst,[],[refute_0_50:[bind(X,$fot(mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53)))),bind(Y,$fot(mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53)))),bind(Z,$fot(mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53)))))]]) ).
cnf(refute_0_96,plain,
( mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53)) != mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53)))
| mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53)) = mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53)),mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53)) = mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53))),
inference(resolve,[$cnf( $equal(mult(mult(X_53,X_6),mult(mult(X_53,mult(X_6,X_53)),X_53)),mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53)))) )],[refute_0_69,refute_0_96]) ).
cnf(refute_0_98,plain,
mult(X_53,X_53) = X_53,
inference(subst,[],[c05:[bind(A,$fot(X_53))]]) ).
cnf(refute_0_99,plain,
mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)) = mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)),
introduced(tautology,[refl,[$fot(mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)))]]) ).
cnf(refute_0_100,plain,
( mult(X_53,X_53) != X_53
| mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)) != mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))
| mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)) = mult(mult(mult(X_53,X_6),X_6),X_53) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) ),[1,1],$fot(X_53)]]) ).
cnf(refute_0_101,plain,
( mult(X_53,X_53) != X_53
| mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)) = mult(mult(mult(X_53,X_6),X_6),X_53) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)) = mult(mult(mult(X_53,X_6),X_6),X_53),
inference(resolve,[$cnf( $equal(mult(X_53,X_53),X_53) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) = mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))),
introduced(tautology,[refl,[$fot(mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))))]]) ).
cnf(refute_0_104,plain,
( mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) != mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)))
| mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)) != mult(mult(mult(X_53,X_6),X_6),X_53)
| mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) = mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))),mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)))) ),[1,1],$fot(mult(mult(mult(X_53,X_6),X_6),X_53))]]) ).
cnf(refute_0_105,plain,
( mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)) != mult(mult(mult(X_53,X_6),X_6),X_53)
| mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) = mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))),mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) = mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53)),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53)) )],[refute_0_102,refute_0_105]) ).
cnf(refute_0_107,plain,
mult(mult(X_53,X_6),X_53) = mult(X_53,mult(X_6,X_53)),
inference(subst,[],[refute_0_61:[bind(X_2,$fot(X_6)),bind(X_3,$fot(X_53))]]) ).
cnf(refute_0_108,plain,
mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) = mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))),
introduced(tautology,[refl,[$fot(mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))))]]) ).
cnf(refute_0_109,plain,
( mult(mult(X_53,X_6),X_53) != mult(X_53,mult(X_6,X_53))
| mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) != mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)))
| mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) = mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))),mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)))) ),[1,0],$fot(mult(X_53,mult(X_6,X_53)))]]) ).
cnf(refute_0_110,plain,
( mult(mult(X_53,X_6),X_53) != mult(X_53,mult(X_6,X_53))
| mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) = mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))),mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) = mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))),
inference(resolve,[$cnf( $equal(mult(mult(X_53,X_6),X_53),mult(X_53,mult(X_6,X_53))) )],[refute_0_107,refute_0_110]) ).
cnf(refute_0_112,plain,
( mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) != mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53))
| mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) != mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)))
| mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) = mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53)) ),
inference(subst,[],[refute_0_50:[bind(X,$fot(mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))))),bind(Y,$fot(mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))))),bind(Z,$fot(mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53))))]]) ).
cnf(refute_0_113,plain,
( mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) != mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53))
| mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) = mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))),mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)))) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) = mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53)),
inference(resolve,[$cnf( $equal(mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))),mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53))) )],[refute_0_106,refute_0_113]) ).
cnf(refute_0_115,plain,
( mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53)) != mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53)))
| mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) != mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53))
| mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) = mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53))) ),
inference(subst,[],[refute_0_50:[bind(X,$fot(mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))))),bind(Y,$fot(mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53)))),bind(Z,$fot(mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53)))))]]) ).
cnf(refute_0_116,plain,
( mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53)) != mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53)))
| mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) = mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))),mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53))) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) = mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53))),
inference(resolve,[$cnf( $equal(mult(mult(X_53,mult(X_6,X_53)),mult(mult(mult(X_53,X_6),X_6),X_53)),mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53)))) )],[refute_0_97,refute_0_116]) ).
cnf(refute_0_118,plain,
mult(mult(X_28,X_29),mult(mult(X_28,X_30),mult(B,X_29))) = mult(mult(X_28,mult(X_29,X_30)),mult(mult(X_28,X_29),mult(B,X_29))),
inference(subst,[],[refute_0_34:[bind(C,$fot(mult(B,X_29))),bind(X_4,$fot(X_28)),bind(X_5,$fot(X_29)),bind(X_6,$fot(X_30))]]) ).
cnf(refute_0_119,plain,
mult(mult(X_28,B),X_29) = mult(mult(X_28,X_29),mult(B,X_29)),
inference(subst,[],[c02:[bind(A,$fot(X_28)),bind(C,$fot(X_29))]]) ).
cnf(refute_0_120,plain,
( mult(mult(X_28,B),X_29) != mult(mult(X_28,X_29),mult(B,X_29))
| mult(mult(X_28,X_29),mult(B,X_29)) = mult(mult(X_28,B),X_29) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(mult(mult(X_28,B),X_29))),bind(Y,$fot(mult(mult(X_28,X_29),mult(B,X_29))))]]) ).
cnf(refute_0_121,plain,
mult(mult(X_28,X_29),mult(B,X_29)) = mult(mult(X_28,B),X_29),
inference(resolve,[$cnf( $equal(mult(mult(X_28,B),X_29),mult(mult(X_28,X_29),mult(B,X_29))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
( mult(mult(X_28,X_29),mult(B,X_29)) != mult(mult(X_28,B),X_29)
| mult(mult(X_28,X_29),mult(mult(X_28,X_30),mult(B,X_29))) != mult(mult(X_28,mult(X_29,X_30)),mult(mult(X_28,X_29),mult(B,X_29)))
| mult(mult(X_28,X_29),mult(mult(X_28,X_30),mult(B,X_29))) = mult(mult(X_28,mult(X_29,X_30)),mult(mult(X_28,B),X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_28,X_29),mult(mult(X_28,X_30),mult(B,X_29))),mult(mult(X_28,mult(X_29,X_30)),mult(mult(X_28,X_29),mult(B,X_29)))) ),[1,1],$fot(mult(mult(X_28,B),X_29))]]) ).
cnf(refute_0_123,plain,
( mult(mult(X_28,X_29),mult(mult(X_28,X_30),mult(B,X_29))) != mult(mult(X_28,mult(X_29,X_30)),mult(mult(X_28,X_29),mult(B,X_29)))
| mult(mult(X_28,X_29),mult(mult(X_28,X_30),mult(B,X_29))) = mult(mult(X_28,mult(X_29,X_30)),mult(mult(X_28,B),X_29)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_28,X_29),mult(B,X_29)),mult(mult(X_28,B),X_29)) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
mult(mult(X_28,X_29),mult(mult(X_28,X_30),mult(B,X_29))) = mult(mult(X_28,mult(X_29,X_30)),mult(mult(X_28,B),X_29)),
inference(resolve,[$cnf( $equal(mult(mult(X_28,X_29),mult(mult(X_28,X_30),mult(B,X_29))),mult(mult(X_28,mult(X_29,X_30)),mult(mult(X_28,X_29),mult(B,X_29)))) )],[refute_0_118,refute_0_123]) ).
cnf(refute_0_125,plain,
( mult(mult(X_28,X_29),mult(mult(X_28,X_30),mult(B,X_29))) != mult(mult(X_28,mult(X_29,X_30)),mult(mult(X_28,B),X_29))
| mult(mult(X_28,mult(X_29,X_30)),mult(mult(X_28,B),X_29)) = mult(mult(X_28,X_29),mult(mult(X_28,X_30),mult(B,X_29))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(mult(mult(X_28,X_29),mult(mult(X_28,X_30),mult(B,X_29))))),bind(Y,$fot(mult(mult(X_28,mult(X_29,X_30)),mult(mult(X_28,B),X_29))))]]) ).
cnf(refute_0_126,plain,
mult(mult(X_28,mult(X_29,X_30)),mult(mult(X_28,B),X_29)) = mult(mult(X_28,X_29),mult(mult(X_28,X_30),mult(B,X_29))),
inference(resolve,[$cnf( $equal(mult(mult(X_28,X_29),mult(mult(X_28,X_30),mult(B,X_29))),mult(mult(X_28,mult(X_29,X_30)),mult(mult(X_28,B),X_29))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
mult(mult(mult(X_53,X_6),mult(X_53,X_6)),mult(mult(mult(X_53,X_6),X_53),X_53)) = mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))),
inference(subst,[],[refute_0_126:[bind(B,$fot(X_53)),bind(X_28,$fot(mult(X_53,X_6))),bind(X_29,$fot(X_53)),bind(X_30,$fot(X_6))]]) ).
cnf(refute_0_128,plain,
mult(mult(X_1,mult(X_1,X_3)),mult(X_2,X_3)) = mult(mult(X_1,mult(X_2,X_3)),mult(mult(X_1,X_2),X_3)),
inference(subst,[],[refute_0_10:[bind(A,$fot(X_1))]]) ).
cnf(refute_0_129,plain,
mult(mult(X_1,X_2),mult(mult(X_1,X_3),X_3)) = mult(mult(X_1,mult(X_2,X_3)),mult(mult(X_1,X_2),X_3)),
inference(subst,[],[refute_0_34:[bind(C,$fot(X_3)),bind(X_4,$fot(X_1)),bind(X_5,$fot(X_2)),bind(X_6,$fot(X_3))]]) ).
cnf(refute_0_130,plain,
( mult(mult(X_1,X_2),mult(mult(X_1,X_3),X_3)) != mult(mult(X_1,mult(X_2,X_3)),mult(mult(X_1,X_2),X_3))
| mult(mult(X_1,mult(X_2,X_3)),mult(mult(X_1,X_2),X_3)) = mult(mult(X_1,X_2),mult(mult(X_1,X_3),X_3)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(mult(mult(X_1,X_2),mult(mult(X_1,X_3),X_3)))),bind(Y,$fot(mult(mult(X_1,mult(X_2,X_3)),mult(mult(X_1,X_2),X_3))))]]) ).
cnf(refute_0_131,plain,
mult(mult(X_1,mult(X_2,X_3)),mult(mult(X_1,X_2),X_3)) = mult(mult(X_1,X_2),mult(mult(X_1,X_3),X_3)),
inference(resolve,[$cnf( $equal(mult(mult(X_1,X_2),mult(mult(X_1,X_3),X_3)),mult(mult(X_1,mult(X_2,X_3)),mult(mult(X_1,X_2),X_3))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
( mult(mult(X_1,mult(X_1,X_3)),mult(X_2,X_3)) != mult(mult(X_1,mult(X_2,X_3)),mult(mult(X_1,X_2),X_3))
| mult(mult(X_1,mult(X_2,X_3)),mult(mult(X_1,X_2),X_3)) != mult(mult(X_1,X_2),mult(mult(X_1,X_3),X_3))
| mult(mult(X_1,mult(X_1,X_3)),mult(X_2,X_3)) = mult(mult(X_1,X_2),mult(mult(X_1,X_3),X_3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(X_1,mult(X_1,X_3)),mult(X_2,X_3)),mult(mult(X_1,X_2),mult(mult(X_1,X_3),X_3))) ),[0],$fot(mult(mult(X_1,mult(X_2,X_3)),mult(mult(X_1,X_2),X_3)))]]) ).
cnf(refute_0_133,plain,
( mult(mult(X_1,mult(X_1,X_3)),mult(X_2,X_3)) != mult(mult(X_1,mult(X_2,X_3)),mult(mult(X_1,X_2),X_3))
| mult(mult(X_1,mult(X_1,X_3)),mult(X_2,X_3)) = mult(mult(X_1,X_2),mult(mult(X_1,X_3),X_3)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_1,mult(X_2,X_3)),mult(mult(X_1,X_2),X_3)),mult(mult(X_1,X_2),mult(mult(X_1,X_3),X_3))) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
mult(mult(X_1,mult(X_1,X_3)),mult(X_2,X_3)) = mult(mult(X_1,X_2),mult(mult(X_1,X_3),X_3)),
inference(resolve,[$cnf( $equal(mult(mult(X_1,mult(X_1,X_3)),mult(X_2,X_3)),mult(mult(X_1,mult(X_2,X_3)),mult(mult(X_1,X_2),X_3))) )],[refute_0_128,refute_0_133]) ).
cnf(refute_0_135,plain,
mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53)) = mult(mult(mult(X_53,X_6),mult(X_53,X_6)),mult(mult(mult(X_53,X_6),X_53),X_53)),
inference(subst,[],[refute_0_134:[bind(X_1,$fot(mult(X_53,X_6))),bind(X_2,$fot(mult(X_53,X_6))),bind(X_3,$fot(X_53))]]) ).
cnf(refute_0_136,plain,
( mult(mult(mult(X_53,X_6),mult(X_53,X_6)),mult(mult(mult(X_53,X_6),X_53),X_53)) != mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)))
| mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53)) != mult(mult(mult(X_53,X_6),mult(X_53,X_6)),mult(mult(mult(X_53,X_6),X_53),X_53))
| mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53)) = mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) ),
inference(subst,[],[refute_0_50:[bind(X,$fot(mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53)))),bind(Y,$fot(mult(mult(mult(X_53,X_6),mult(X_53,X_6)),mult(mult(mult(X_53,X_6),X_53),X_53)))),bind(Z,$fot(mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)))))]]) ).
cnf(refute_0_137,plain,
( mult(mult(mult(X_53,X_6),mult(X_53,X_6)),mult(mult(mult(X_53,X_6),X_53),X_53)) != mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)))
| mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53)) = mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53)),mult(mult(mult(X_53,X_6),mult(X_53,X_6)),mult(mult(mult(X_53,X_6),X_53),X_53))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53)) = mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_53,X_6),mult(X_53,X_6)),mult(mult(mult(X_53,X_6),X_53),X_53)),mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)))) )],[refute_0_127,refute_0_137]) ).
cnf(refute_0_139,plain,
( mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) != mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53)))
| mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53)) != mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)))
| mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53)) = mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53))) ),
inference(subst,[],[refute_0_50:[bind(X,$fot(mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53)))),bind(Y,$fot(mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))))),bind(Z,$fot(mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53)))))]]) ).
cnf(refute_0_140,plain,
( mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))) != mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53)))
| mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53)) = mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53)),mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53)))) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53)) = mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53))),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),mult(X_53,X_53))),mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53)))) )],[refute_0_117,refute_0_140]) ).
cnf(refute_0_142,plain,
( mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53)) != mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53)))
| mult(mult(mult(X_53,mult(X_53,X_6)),X_6),X_53) != mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53))
| mult(mult(mult(X_53,mult(X_53,X_6)),X_6),X_53) = mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_53,mult(X_53,X_6)),X_6),X_53),mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53))) ),[1],$fot(mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53))))]]) ).
cnf(refute_0_143,plain,
( mult(mult(mult(X_53,mult(X_53,X_6)),X_6),X_53) != mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53))
| mult(mult(mult(X_53,mult(X_53,X_6)),X_6),X_53) = mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53)),mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53)))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
( mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)) != mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53))
| mult(mult(mult(X_53,mult(X_53,X_6)),X_6),X_53) = mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_53,mult(X_53,X_6)),X_6),X_53),mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53))) )],[refute_0_55,refute_0_143]) ).
cnf(refute_0_145,plain,
mult(mult(mult(X_53,mult(X_53,X_6)),X_6),X_53) = mult(X_53,mult(X_6,mult(mult(X_6,X_53),X_53))),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_53,X_6),X_53),mult(mult(mult(X_53,X_6),X_6),X_53)),mult(mult(mult(X_53,X_6),mult(mult(X_53,X_6),X_53)),mult(mult(X_53,X_6),X_53))) )],[refute_0_40,refute_0_144]) ).
cnf(refute_0_146,plain,
mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),
inference(subst,[],[refute_0_145:[bind(X_53,$fot(mult(mult(A,B),mult(C,D)))),bind(X_6,$fot(mult(mult(A,C),mult(B,D))))]]) ).
cnf(refute_0_147,plain,
( mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))) != mult(mult(A,C),mult(B,D))
| mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))
| mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))) ),[0,0,0],$fot(mult(mult(A,C),mult(B,D)))]]) ).
cnf(refute_0_148,plain,
( mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))
| mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,C),mult(B,D))) )],[c03,refute_0_147]) ).
cnf(refute_0_149,plain,
mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))) )],[refute_0_146,refute_0_148]) ).
cnf(refute_0_150,plain,
mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))) = mult(mult(A,C),mult(B,D)),
inference(subst,[],[c05:[bind(A,$fot(mult(mult(A,C),mult(B,D))))]]) ).
cnf(refute_0_151,plain,
mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),
introduced(tautology,[refl,[$fot(mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))))]]) ).
cnf(refute_0_152,plain,
( mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))) != mult(mult(A,C),mult(B,D))
| mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) != mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D)))
| mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D)))) ),[1,0],$fot(mult(mult(A,C),mult(B,D)))]]) ).
cnf(refute_0_153,plain,
( mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))) != mult(mult(A,C),mult(B,D))
| mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D)))) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,C),mult(B,D))) )],[refute_0_150,refute_0_153]) ).
cnf(refute_0_155,plain,
( mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))
| mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) != mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D)))
| mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))) ),[0],$fot(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))))]]) ).
cnf(refute_0_156,plain,
( mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))
| mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D)))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(X_16,X_18),mult(X_17,X_19))) = mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19)))),
inference(subst,[],[c02:[bind(A,$fot(mult(mult(X_16,X_17),mult(X_18,X_19)))),bind(B,$fot(mult(mult(X_16,X_18),mult(X_17,X_19)))),bind(C,$fot(mult(mult(X_16,X_18),mult(X_17,X_19))))]]) ).
cnf(refute_0_158,plain,
mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(X_16,X_18),mult(X_17,X_19))) = mult(mult(X_16,X_17),mult(X_18,X_19)),
inference(subst,[],[c04:[bind(A,$fot(X_16)),bind(B,$fot(X_17)),bind(C,$fot(X_18)),bind(D,$fot(X_19))]]) ).
cnf(refute_0_159,plain,
( mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(X_16,X_18),mult(X_17,X_19))) != mult(mult(X_16,X_17),mult(X_18,X_19))
| mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(X_16,X_18),mult(X_17,X_19))) != mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))))
| mult(mult(X_16,X_17),mult(X_18,X_19)) = mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))))) ),[0],$fot(mult(mult(X_16,X_17),mult(X_18,X_19)))]]) ).
cnf(refute_0_160,plain,
( mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(X_16,X_18),mult(X_17,X_19))) != mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))))
| mult(mult(X_16,X_17),mult(X_18,X_19)) = mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19)))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(X_16,X_17),mult(X_18,X_19))) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
mult(mult(X_16,X_17),mult(X_18,X_19)) = mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19)))),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))))) )],[refute_0_157,refute_0_160]) ).
cnf(refute_0_162,plain,
mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),C)) = mult(mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),C)),
inference(subst,[],[c01:[bind(A,$fot(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))))),bind(B,$fot(mult(mult(X_16,X_18),mult(X_17,X_19))))]]) ).
cnf(refute_0_163,plain,
( mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(X_16,X_18),mult(X_17,X_19))) != mult(mult(X_16,X_17),mult(X_18,X_19))
| mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),C)) != mult(mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),C))
| mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),C)) = mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),C)),mult(mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),C))) ),[1,0],$fot(mult(mult(X_16,X_17),mult(X_18,X_19)))]]) ).
cnf(refute_0_164,plain,
( mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),C)) != mult(mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),C))
| mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),C)) = mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),C)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(X_16,X_17),mult(X_18,X_19))) )],[refute_0_158,refute_0_163]) ).
cnf(refute_0_165,plain,
mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),C)) = mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),C)),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),C)),mult(mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),C))) )],[refute_0_162,refute_0_164]) ).
cnf(refute_0_166,plain,
mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(X_12,X_14),mult(X_13,X_15))),C)) = mult(mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(X_12,X_14),mult(X_13,X_15)))),mult(mult(mult(X_12,X_13),mult(X_14,X_15)),C)),
inference(subst,[],[c01:[bind(A,$fot(mult(mult(X_12,X_13),mult(X_14,X_15)))),bind(B,$fot(mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(X_12,X_14),mult(X_13,X_15)))))]]) ).
cnf(refute_0_167,plain,
mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(X_12,X_14),mult(X_13,X_15)))) = mult(mult(X_12,X_14),mult(X_13,X_15)),
inference(subst,[],[c03:[bind(A,$fot(X_12)),bind(B,$fot(X_13)),bind(C,$fot(X_14)),bind(D,$fot(X_15))]]) ).
cnf(refute_0_168,plain,
( mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(X_12,X_14),mult(X_13,X_15)))) != mult(mult(X_12,X_14),mult(X_13,X_15))
| mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(X_12,X_14),mult(X_13,X_15))),C)) != mult(mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(X_12,X_14),mult(X_13,X_15)))),mult(mult(mult(X_12,X_13),mult(X_14,X_15)),C))
| mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(X_12,X_14),mult(X_13,X_15))),C)) = mult(mult(mult(X_12,X_14),mult(X_13,X_15)),mult(mult(mult(X_12,X_13),mult(X_14,X_15)),C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(X_12,X_14),mult(X_13,X_15))),C)),mult(mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(X_12,X_14),mult(X_13,X_15)))),mult(mult(mult(X_12,X_13),mult(X_14,X_15)),C))) ),[1,0],$fot(mult(mult(X_12,X_14),mult(X_13,X_15)))]]) ).
cnf(refute_0_169,plain,
( mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(X_12,X_14),mult(X_13,X_15))),C)) != mult(mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(X_12,X_14),mult(X_13,X_15)))),mult(mult(mult(X_12,X_13),mult(X_14,X_15)),C))
| mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(X_12,X_14),mult(X_13,X_15))),C)) = mult(mult(mult(X_12,X_14),mult(X_13,X_15)),mult(mult(mult(X_12,X_13),mult(X_14,X_15)),C)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(X_12,X_14),mult(X_13,X_15)))),mult(mult(X_12,X_14),mult(X_13,X_15))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(X_12,X_14),mult(X_13,X_15))),C)) = mult(mult(mult(X_12,X_14),mult(X_13,X_15)),mult(mult(mult(X_12,X_13),mult(X_14,X_15)),C)),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(X_12,X_14),mult(X_13,X_15))),C)),mult(mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(mult(X_12,X_13),mult(X_14,X_15)),mult(mult(X_12,X_14),mult(X_13,X_15)))),mult(mult(mult(X_12,X_13),mult(X_14,X_15)),C))) )],[refute_0_166,refute_0_169]) ).
cnf(refute_0_171,plain,
mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),C)) = mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(mult(X_16,X_17),mult(X_18,X_19)),C)),
inference(subst,[],[refute_0_170:[bind(X_12,$fot(X_16)),bind(X_13,$fot(X_17)),bind(X_14,$fot(X_18)),bind(X_15,$fot(X_19))]]) ).
cnf(refute_0_172,plain,
( mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),C)) != mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(mult(X_16,X_17),mult(X_18,X_19)),C))
| mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),C)) != mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),C))
| mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),C)) = mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(mult(X_16,X_17),mult(X_18,X_19)),C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),C)),mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),C))) ),[1],$fot(mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(mult(X_16,X_17),mult(X_18,X_19)),C)))]]) ).
cnf(refute_0_173,plain,
( mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),C)) != mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),C))
| mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),C)) = mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(mult(X_16,X_17),mult(X_18,X_19)),C)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),C)),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(mult(X_16,X_17),mult(X_18,X_19)),C))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),C)) = mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(mult(X_16,X_17),mult(X_18,X_19)),C)),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),C)),mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),C))) )],[refute_0_165,refute_0_173]) ).
cnf(refute_0_175,plain,
mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19)))) = mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19)))),
inference(subst,[],[refute_0_174:[bind(C,$fot(mult(mult(X_16,X_18),mult(X_17,X_19))))]]) ).
cnf(refute_0_176,plain,
( mult(mult(X_16,X_17),mult(X_18,X_19)) != mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))))
| mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19)))) != mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))))
| mult(mult(X_16,X_17),mult(X_18,X_19)) = mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))))) ),[0],$fot(mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19)))))]]) ).
cnf(refute_0_177,plain,
( mult(mult(X_16,X_17),mult(X_18,X_19)) != mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))))
| mult(mult(X_16,X_17),mult(X_18,X_19)) = mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19)))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19)))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))))) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
mult(mult(X_16,X_17),mult(X_18,X_19)) = mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19)))),
inference(resolve,[$cnf( $equal(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))))) )],[refute_0_161,refute_0_177]) ).
cnf(refute_0_179,plain,
( mult(mult(X_16,X_17),mult(X_18,X_19)) != mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))))
| mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19)))) = mult(mult(X_16,X_17),mult(X_18,X_19)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(mult(mult(X_16,X_17),mult(X_18,X_19)))),bind(Y,$fot(mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))))))]]) ).
cnf(refute_0_180,plain,
mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19)))) = mult(mult(X_16,X_17),mult(X_18,X_19)),
inference(resolve,[$cnf( $equal(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(mult(X_16,X_18),mult(X_17,X_19)),mult(mult(mult(X_16,X_17),mult(X_18,X_19)),mult(mult(X_16,X_18),mult(X_17,X_19))))) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D)))) = mult(mult(A,C),mult(B,D)),
inference(subst,[],[refute_0_180:[bind(X_16,$fot(A)),bind(X_17,$fot(C)),bind(X_18,$fot(B)),bind(X_19,$fot(D))]]) ).
cnf(refute_0_182,plain,
mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D)))),
inference(subst,[],[refute_0_170:[bind(C,$fot(mult(mult(A,B),mult(C,D)))),bind(X_12,$fot(A)),bind(X_13,$fot(C)),bind(X_14,$fot(B)),bind(X_15,$fot(D))]]) ).
cnf(refute_0_183,plain,
( mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D)))) != mult(mult(A,C),mult(B,D))
| mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))))
| mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))) = mult(mult(A,C),mult(B,D)) ),
inference(subst,[],[refute_0_50:[bind(X,$fot(mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))),bind(Y,$fot(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D)))))),bind(Z,$fot(mult(mult(A,C),mult(B,D))))]]) ).
cnf(refute_0_184,plain,
( mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D)))) != mult(mult(A,C),mult(B,D))
| mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))) = mult(mult(A,C),mult(B,D)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))))) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))) = mult(mult(A,C),mult(B,D)),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D)))),mult(mult(A,C),mult(B,D))) )],[refute_0_181,refute_0_184]) ).
cnf(refute_0_186,plain,
mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),
introduced(tautology,[refl,[$fot(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))))]]) ).
cnf(refute_0_187,plain,
( mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))
| mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))) != mult(mult(A,C),mult(B,D))
| mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))) ),[1,1],$fot(mult(mult(A,C),mult(B,D)))]]) ).
cnf(refute_0_188,plain,
( mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))) != mult(mult(A,C),mult(B,D))
| mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))),mult(mult(A,C),mult(B,D))) )],[refute_0_185,refute_0_188]) ).
cnf(refute_0_190,plain,
( mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))
| mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))
| mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))) ),[1],$fot(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))))]]) ).
cnf(refute_0_191,plain,
( mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))
| mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
( mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))
| mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))) )],[refute_0_156,refute_0_191]) ).
cnf(refute_0_193,plain,
mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))) )],[refute_0_149,refute_0_192]) ).
cnf(refute_0_194,plain,
( mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))
| mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))) = mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))))),bind(Y,$fot(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))))]]) ).
cnf(refute_0_195,plain,
mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))) = mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
mult(mult(mult(a,c),mult(b,d)),mult(mult(a,b),mult(c,d))) = mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))),
inference(subst,[],[refute_0_195:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(b)),bind(D,$fot(d))]]) ).
cnf(refute_0_197,plain,
( mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))) != mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d)))
| mult(mult(mult(a,c),mult(b,d)),mult(mult(a,b),mult(c,d))) != mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d)))
| mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))) = mult(mult(mult(a,c),mult(b,d)),mult(mult(a,b),mult(c,d))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))),mult(mult(mult(a,c),mult(b,d)),mult(mult(a,b),mult(c,d)))) ),[1],$fot(mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))))]]) ).
cnf(refute_0_198,plain,
( mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))) != mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d)))
| mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))) = mult(mult(mult(a,c),mult(b,d)),mult(mult(a,b),mult(c,d))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(a,c),mult(b,d)),mult(mult(a,b),mult(c,d))),mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d)))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))) != mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))),
inference(resolve,[$cnf( $equal(mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))),mult(mult(mult(a,c),mult(b,d)),mult(mult(a,b),mult(c,d)))) )],[refute_0_198,goals]) ).
cnf(refute_0_200,plain,
mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))) = mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))),
introduced(tautology,[refl,[$fot(mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))))]]) ).
cnf(refute_0_201,plain,
$false,
inference(resolve,[$cnf( $equal(mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))),mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d)))) )],[refute_0_200,refute_0_199]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG245-1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 8 08:11:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.42/1.67 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.42/1.67
% 1.42/1.67 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.51/1.71
%------------------------------------------------------------------------------