%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG240-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 17:39:47 EDT 2022
% Result : Unsatisfiable 6.14s 6.32s
% Output : CNFRefutation 6.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 79
% Syntax : Number of clauses : 392 ( 200 unt; 0 nHn; 196 RR)
% Number of literals : 664 ( 663 equ; 274 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 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 : 1212 ( 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(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(A,mult(X_3,X_5)),mult(X_4,X_5)) = mult(mult(A,mult(X_4,X_5)),mult(mult(X_3,X_5),mult(X_4,X_5))),
inference(subst,[],[c02:[bind(B,$fot(mult(X_3,X_5))),bind(C,$fot(mult(X_4,X_5)))]]) ).
cnf(refute_0_1,plain,
mult(mult(X_3,X_4),X_5) = mult(mult(X_3,X_5),mult(X_4,X_5)),
inference(subst,[],[c02:[bind(A,$fot(X_3)),bind(B,$fot(X_4)),bind(C,$fot(X_5))]]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( mult(mult(X_3,X_4),X_5) != mult(mult(X_3,X_5),mult(X_4,X_5))
| mult(mult(X_3,X_5),mult(X_4,X_5)) = mult(mult(X_3,X_4),X_5) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(mult(X_3,X_4),X_5))),bind(Y,$fot(mult(mult(X_3,X_5),mult(X_4,X_5))))]]) ).
cnf(refute_0_6,plain,
mult(mult(X_3,X_5),mult(X_4,X_5)) = mult(mult(X_3,X_4),X_5),
inference(resolve,[$cnf( $equal(mult(mult(X_3,X_4),X_5),mult(mult(X_3,X_5),mult(X_4,X_5))) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
( mult(mult(A,mult(X_3,X_5)),mult(X_4,X_5)) != mult(mult(A,mult(X_4,X_5)),mult(mult(X_3,X_5),mult(X_4,X_5)))
| mult(mult(X_3,X_5),mult(X_4,X_5)) != mult(mult(X_3,X_4),X_5)
| mult(mult(A,mult(X_3,X_5)),mult(X_4,X_5)) = mult(mult(A,mult(X_4,X_5)),mult(mult(X_3,X_4),X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(A,mult(X_3,X_5)),mult(X_4,X_5)),mult(mult(A,mult(X_4,X_5)),mult(mult(X_3,X_5),mult(X_4,X_5)))) ),[1,1],$fot(mult(mult(X_3,X_4),X_5))]]) ).
cnf(refute_0_8,plain,
( mult(mult(A,mult(X_3,X_5)),mult(X_4,X_5)) != mult(mult(A,mult(X_4,X_5)),mult(mult(X_3,X_5),mult(X_4,X_5)))
| mult(mult(A,mult(X_3,X_5)),mult(X_4,X_5)) = mult(mult(A,mult(X_4,X_5)),mult(mult(X_3,X_4),X_5)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_3,X_5),mult(X_4,X_5)),mult(mult(X_3,X_4),X_5)) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
mult(mult(A,mult(X_3,X_5)),mult(X_4,X_5)) = mult(mult(A,mult(X_4,X_5)),mult(mult(X_3,X_4),X_5)),
inference(resolve,[$cnf( $equal(mult(mult(A,mult(X_3,X_5)),mult(X_4,X_5)),mult(mult(A,mult(X_4,X_5)),mult(mult(X_3,X_5),mult(X_4,X_5)))) )],[refute_0_0,refute_0_8]) ).
cnf(refute_0_10,plain,
mult(mult(X_4,mult(X_3,mult(X_3,X_4))),mult(X_4,mult(X_3,X_4))) = mult(mult(X_4,mult(X_4,mult(X_3,X_4))),mult(mult(X_3,X_4),mult(X_3,X_4))),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_4)),bind(X_5,$fot(mult(X_3,X_4)))]]) ).
cnf(refute_0_11,plain,
mult(mult(A,mult(A,X_10)),mult(X_10,X_11)) = mult(mult(A,mult(X_10,X_11)),mult(mult(A,X_10),mult(X_10,X_11))),
inference(subst,[],[c02:[bind(B,$fot(mult(A,X_10))),bind(C,$fot(mult(X_10,X_11)))]]) ).
cnf(refute_0_12,plain,
mult(mult(X_0,X_1),mult(mult(X_0,X_2),C)) = mult(mult(mult(X_0,X_1),mult(X_0,X_2)),mult(mult(X_0,X_1),C)),
inference(subst,[],[c01:[bind(A,$fot(mult(X_0,X_1))),bind(B,$fot(mult(X_0,X_2)))]]) ).
cnf(refute_0_13,plain,
mult(X_0,mult(X_1,X_2)) = mult(mult(X_0,X_1),mult(X_0,X_2)),
inference(subst,[],[c01:[bind(A,$fot(X_0)),bind(B,$fot(X_1)),bind(C,$fot(X_2))]]) ).
cnf(refute_0_14,plain,
( mult(X_0,mult(X_1,X_2)) != mult(mult(X_0,X_1),mult(X_0,X_2))
| mult(mult(X_0,X_1),mult(X_0,X_2)) = mult(X_0,mult(X_1,X_2)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(X_0,mult(X_1,X_2)))),bind(Y,$fot(mult(mult(X_0,X_1),mult(X_0,X_2))))]]) ).
cnf(refute_0_15,plain,
mult(mult(X_0,X_1),mult(X_0,X_2)) = mult(X_0,mult(X_1,X_2)),
inference(resolve,[$cnf( $equal(mult(X_0,mult(X_1,X_2)),mult(mult(X_0,X_1),mult(X_0,X_2))) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
( mult(mult(X_0,X_1),mult(X_0,X_2)) != mult(X_0,mult(X_1,X_2))
| mult(mult(X_0,X_1),mult(mult(X_0,X_2),C)) != mult(mult(mult(X_0,X_1),mult(X_0,X_2)),mult(mult(X_0,X_1),C))
| mult(mult(X_0,X_1),mult(mult(X_0,X_2),C)) = mult(mult(X_0,mult(X_1,X_2)),mult(mult(X_0,X_1),C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_0,X_1),mult(mult(X_0,X_2),C)),mult(mult(mult(X_0,X_1),mult(X_0,X_2)),mult(mult(X_0,X_1),C))) ),[1,0],$fot(mult(X_0,mult(X_1,X_2)))]]) ).
cnf(refute_0_17,plain,
( mult(mult(X_0,X_1),mult(mult(X_0,X_2),C)) != mult(mult(mult(X_0,X_1),mult(X_0,X_2)),mult(mult(X_0,X_1),C))
| mult(mult(X_0,X_1),mult(mult(X_0,X_2),C)) = mult(mult(X_0,mult(X_1,X_2)),mult(mult(X_0,X_1),C)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_0,X_1),mult(X_0,X_2)),mult(X_0,mult(X_1,X_2))) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
mult(mult(X_0,X_1),mult(mult(X_0,X_2),C)) = mult(mult(X_0,mult(X_1,X_2)),mult(mult(X_0,X_1),C)),
inference(resolve,[$cnf( $equal(mult(mult(X_0,X_1),mult(mult(X_0,X_2),C)),mult(mult(mult(X_0,X_1),mult(X_0,X_2)),mult(mult(X_0,X_1),C))) )],[refute_0_12,refute_0_17]) ).
cnf(refute_0_19,plain,
mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11))) = mult(mult(A,mult(X_10,X_11)),mult(mult(A,X_10),mult(X_10,X_11))),
inference(subst,[],[refute_0_18:[bind(C,$fot(mult(X_10,X_11))),bind(X_0,$fot(A)),bind(X_1,$fot(X_10)),bind(X_2,$fot(X_11))]]) ).
cnf(refute_0_20,plain,
( mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11))) != mult(mult(A,mult(X_10,X_11)),mult(mult(A,X_10),mult(X_10,X_11)))
| mult(mult(A,mult(X_10,X_11)),mult(mult(A,X_10),mult(X_10,X_11))) = mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11))))),bind(Y,$fot(mult(mult(A,mult(X_10,X_11)),mult(mult(A,X_10),mult(X_10,X_11)))))]]) ).
cnf(refute_0_21,plain,
mult(mult(A,mult(X_10,X_11)),mult(mult(A,X_10),mult(X_10,X_11))) = mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11))),
inference(resolve,[$cnf( $equal(mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11))),mult(mult(A,mult(X_10,X_11)),mult(mult(A,X_10),mult(X_10,X_11)))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
( mult(mult(A,mult(A,X_10)),mult(X_10,X_11)) != mult(mult(A,mult(X_10,X_11)),mult(mult(A,X_10),mult(X_10,X_11)))
| mult(mult(A,mult(X_10,X_11)),mult(mult(A,X_10),mult(X_10,X_11))) != mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11)))
| mult(mult(A,mult(A,X_10)),mult(X_10,X_11)) = mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(A,mult(A,X_10)),mult(X_10,X_11)),mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11)))) ),[0],$fot(mult(mult(A,mult(X_10,X_11)),mult(mult(A,X_10),mult(X_10,X_11))))]]) ).
cnf(refute_0_23,plain,
( mult(mult(A,mult(A,X_10)),mult(X_10,X_11)) != mult(mult(A,mult(X_10,X_11)),mult(mult(A,X_10),mult(X_10,X_11)))
| mult(mult(A,mult(A,X_10)),mult(X_10,X_11)) = mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11))) ),
inference(resolve,[$cnf( $equal(mult(mult(A,mult(X_10,X_11)),mult(mult(A,X_10),mult(X_10,X_11))),mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11)))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
mult(mult(A,mult(A,X_10)),mult(X_10,X_11)) = mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11))),
inference(resolve,[$cnf( $equal(mult(mult(A,mult(A,X_10)),mult(X_10,X_11)),mult(mult(A,mult(X_10,X_11)),mult(mult(A,X_10),mult(X_10,X_11)))) )],[refute_0_11,refute_0_23]) ).
cnf(refute_0_25,plain,
( mult(mult(A,B),C) != mult(mult(A,C),mult(B,C))
| mult(mult(A,C),mult(B,C)) = mult(mult(A,B),C) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(mult(A,B),C))),bind(Y,$fot(mult(mult(A,C),mult(B,C))))]]) ).
cnf(refute_0_26,plain,
mult(mult(A,C),mult(B,C)) = mult(mult(A,B),C),
inference(resolve,[$cnf( $equal(mult(mult(A,B),C),mult(mult(A,C),mult(B,C))) )],[c02,refute_0_25]) ).
cnf(refute_0_27,plain,
mult(mult(A,X_11),mult(X_10,X_11)) = mult(mult(A,X_10),X_11),
inference(subst,[],[refute_0_26:[bind(B,$fot(X_10)),bind(C,$fot(X_11))]]) ).
cnf(refute_0_28,plain,
mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11))) = mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11))),
introduced(tautology,[refl,[$fot(mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11))))]]) ).
cnf(refute_0_29,plain,
( mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11))) != mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11)))
| mult(mult(A,X_11),mult(X_10,X_11)) != mult(mult(A,X_10),X_11)
| mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11))) = mult(mult(A,X_10),mult(mult(A,X_10),X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11))),mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11)))) ),[1,1],$fot(mult(mult(A,X_10),X_11))]]) ).
cnf(refute_0_30,plain,
( mult(mult(A,X_11),mult(X_10,X_11)) != mult(mult(A,X_10),X_11)
| mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11))) = mult(mult(A,X_10),mult(mult(A,X_10),X_11)) ),
inference(resolve,[$cnf( $equal(mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11))),mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11)))) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11))) = mult(mult(A,X_10),mult(mult(A,X_10),X_11)),
inference(resolve,[$cnf( $equal(mult(mult(A,X_11),mult(X_10,X_11)),mult(mult(A,X_10),X_11)) )],[refute_0_27,refute_0_30]) ).
cnf(refute_0_32,plain,
( mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11))) != mult(mult(A,X_10),mult(mult(A,X_10),X_11))
| mult(mult(A,mult(A,X_10)),mult(X_10,X_11)) != mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11)))
| mult(mult(A,mult(A,X_10)),mult(X_10,X_11)) = mult(mult(A,X_10),mult(mult(A,X_10),X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(A,mult(A,X_10)),mult(X_10,X_11)),mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11)))) ),[1],$fot(mult(mult(A,X_10),mult(mult(A,X_10),X_11)))]]) ).
cnf(refute_0_33,plain,
( mult(mult(A,mult(A,X_10)),mult(X_10,X_11)) != mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11)))
| mult(mult(A,mult(A,X_10)),mult(X_10,X_11)) = mult(mult(A,X_10),mult(mult(A,X_10),X_11)) ),
inference(resolve,[$cnf( $equal(mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11))),mult(mult(A,X_10),mult(mult(A,X_10),X_11))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
mult(mult(A,mult(A,X_10)),mult(X_10,X_11)) = mult(mult(A,X_10),mult(mult(A,X_10),X_11)),
inference(resolve,[$cnf( $equal(mult(mult(A,mult(A,X_10)),mult(X_10,X_11)),mult(mult(A,X_10),mult(mult(A,X_11),mult(X_10,X_11)))) )],[refute_0_24,refute_0_33]) ).
cnf(refute_0_35,plain,
mult(mult(X_4,mult(X_4,mult(X_3,X_4))),mult(mult(X_3,X_4),mult(X_3,X_4))) = mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4))),
inference(subst,[],[refute_0_34:[bind(A,$fot(X_4)),bind(X_10,$fot(mult(X_3,X_4))),bind(X_11,$fot(mult(X_3,X_4)))]]) ).
cnf(refute_0_36,plain,
( mult(mult(X_4,mult(X_3,mult(X_3,X_4))),mult(X_4,mult(X_3,X_4))) != mult(mult(X_4,mult(X_4,mult(X_3,X_4))),mult(mult(X_3,X_4),mult(X_3,X_4)))
| mult(mult(X_4,mult(X_4,mult(X_3,X_4))),mult(mult(X_3,X_4),mult(X_3,X_4))) != mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4)))
| mult(mult(X_4,mult(X_3,mult(X_3,X_4))),mult(X_4,mult(X_3,X_4))) = mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(X_4,mult(X_3,mult(X_3,X_4))),mult(X_4,mult(X_3,X_4))),mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4)))) ),[0],$fot(mult(mult(X_4,mult(X_4,mult(X_3,X_4))),mult(mult(X_3,X_4),mult(X_3,X_4))))]]) ).
cnf(refute_0_37,plain,
( mult(mult(X_4,mult(X_3,mult(X_3,X_4))),mult(X_4,mult(X_3,X_4))) != mult(mult(X_4,mult(X_4,mult(X_3,X_4))),mult(mult(X_3,X_4),mult(X_3,X_4)))
| mult(mult(X_4,mult(X_3,mult(X_3,X_4))),mult(X_4,mult(X_3,X_4))) = mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_4,mult(X_4,mult(X_3,X_4))),mult(mult(X_3,X_4),mult(X_3,X_4))),mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4)))) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
mult(mult(X_4,mult(X_3,mult(X_3,X_4))),mult(X_4,mult(X_3,X_4))) = mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4))),
inference(resolve,[$cnf( $equal(mult(mult(X_4,mult(X_3,mult(X_3,X_4))),mult(X_4,mult(X_3,X_4))),mult(mult(X_4,mult(X_4,mult(X_3,X_4))),mult(mult(X_3,X_4),mult(X_3,X_4)))) )],[refute_0_10,refute_0_37]) ).
cnf(refute_0_39,plain,
mult(mult(mult(C,X_12),B),C) = mult(mult(mult(C,X_12),C),mult(B,C)),
inference(subst,[],[c02:[bind(A,$fot(mult(C,X_12)))]]) ).
cnf(refute_0_40,plain,
mult(A,mult(C,C)) = mult(mult(A,C),mult(A,C)),
inference(subst,[],[c01:[bind(B,$fot(C))]]) ).
cnf(refute_0_41,plain,
mult(mult(A,A),C) = mult(mult(A,C),mult(A,C)),
inference(subst,[],[c02:[bind(B,$fot(A))]]) ).
cnf(refute_0_42,plain,
( mult(mult(A,A),C) != mult(mult(A,C),mult(A,C))
| mult(mult(A,C),mult(A,C)) = mult(mult(A,A),C) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(mult(A,A),C))),bind(Y,$fot(mult(mult(A,C),mult(A,C))))]]) ).
cnf(refute_0_43,plain,
mult(mult(A,C),mult(A,C)) = mult(mult(A,A),C),
inference(resolve,[$cnf( $equal(mult(mult(A,A),C),mult(mult(A,C),mult(A,C))) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
( mult(A,mult(C,C)) != mult(mult(A,C),mult(A,C))
| mult(mult(A,C),mult(A,C)) != mult(mult(A,A),C)
| mult(A,mult(C,C)) = mult(mult(A,A),C) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(A,mult(C,C)),mult(mult(A,A),C)) ),[0],$fot(mult(mult(A,C),mult(A,C)))]]) ).
cnf(refute_0_45,plain,
( mult(A,mult(C,C)) != mult(mult(A,C),mult(A,C))
| mult(A,mult(C,C)) = mult(mult(A,A),C) ),
inference(resolve,[$cnf( $equal(mult(mult(A,C),mult(A,C)),mult(mult(A,A),C)) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
mult(A,mult(C,C)) = mult(mult(A,A),C),
inference(resolve,[$cnf( $equal(mult(A,mult(C,C)),mult(mult(A,C),mult(A,C))) )],[refute_0_40,refute_0_45]) ).
cnf(refute_0_47,plain,
mult(X_6,mult(mult(B,X_6),mult(B,X_6))) = mult(mult(X_6,X_6),mult(B,X_6)),
inference(subst,[],[refute_0_46:[bind(A,$fot(X_6)),bind(C,$fot(mult(B,X_6)))]]) ).
cnf(refute_0_48,plain,
mult(mult(X_6,B),X_6) = mult(mult(X_6,X_6),mult(B,X_6)),
inference(subst,[],[c02:[bind(A,$fot(X_6)),bind(C,$fot(X_6))]]) ).
cnf(refute_0_49,plain,
( mult(mult(X_6,B),X_6) != mult(mult(X_6,X_6),mult(B,X_6))
| mult(mult(X_6,X_6),mult(B,X_6)) = mult(mult(X_6,B),X_6) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(mult(X_6,B),X_6))),bind(Y,$fot(mult(mult(X_6,X_6),mult(B,X_6))))]]) ).
cnf(refute_0_50,plain,
mult(mult(X_6,X_6),mult(B,X_6)) = mult(mult(X_6,B),X_6),
inference(resolve,[$cnf( $equal(mult(mult(X_6,B),X_6),mult(mult(X_6,X_6),mult(B,X_6))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
( mult(X_6,mult(mult(B,X_6),mult(B,X_6))) != mult(mult(X_6,X_6),mult(B,X_6))
| mult(mult(X_6,X_6),mult(B,X_6)) != mult(mult(X_6,B),X_6)
| mult(X_6,mult(mult(B,X_6),mult(B,X_6))) = mult(mult(X_6,B),X_6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_6,mult(mult(B,X_6),mult(B,X_6))),mult(mult(X_6,B),X_6)) ),[0],$fot(mult(mult(X_6,X_6),mult(B,X_6)))]]) ).
cnf(refute_0_52,plain,
( mult(X_6,mult(mult(B,X_6),mult(B,X_6))) != mult(mult(X_6,X_6),mult(B,X_6))
| mult(X_6,mult(mult(B,X_6),mult(B,X_6))) = mult(mult(X_6,B),X_6) ),
inference(resolve,[$cnf( $equal(mult(mult(X_6,X_6),mult(B,X_6)),mult(mult(X_6,B),X_6)) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
mult(X_6,mult(mult(B,X_6),mult(B,X_6))) = mult(mult(X_6,B),X_6),
inference(resolve,[$cnf( $equal(mult(X_6,mult(mult(B,X_6),mult(B,X_6))),mult(mult(X_6,X_6),mult(B,X_6))) )],[refute_0_47,refute_0_52]) ).
cnf(refute_0_54,plain,
mult(X_6,mult(mult(A,B),mult(A,B))) = mult(mult(X_6,X_6),mult(A,B)),
inference(subst,[],[refute_0_46:[bind(A,$fot(X_6)),bind(C,$fot(mult(A,B)))]]) ).
cnf(refute_0_55,plain,
mult(A,mult(B,B)) = mult(mult(A,B),mult(A,B)),
inference(subst,[],[c01:[bind(C,$fot(B))]]) ).
cnf(refute_0_56,plain,
( mult(A,mult(B,B)) != mult(mult(A,B),mult(A,B))
| mult(mult(A,B),mult(A,B)) = mult(A,mult(B,B)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(A,mult(B,B)))),bind(Y,$fot(mult(mult(A,B),mult(A,B))))]]) ).
cnf(refute_0_57,plain,
mult(mult(A,B),mult(A,B)) = mult(A,mult(B,B)),
inference(resolve,[$cnf( $equal(mult(A,mult(B,B)),mult(mult(A,B),mult(A,B))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
( mult(X_6,mult(mult(A,B),mult(A,B))) != mult(mult(X_6,X_6),mult(A,B))
| mult(mult(A,B),mult(A,B)) != mult(A,mult(B,B))
| mult(X_6,mult(A,mult(B,B))) = mult(mult(X_6,X_6),mult(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_6,mult(mult(A,B),mult(A,B))),mult(mult(X_6,X_6),mult(A,B))) ),[0,1],$fot(mult(A,mult(B,B)))]]) ).
cnf(refute_0_59,plain,
( mult(X_6,mult(mult(A,B),mult(A,B))) != mult(mult(X_6,X_6),mult(A,B))
| mult(X_6,mult(A,mult(B,B))) = mult(mult(X_6,X_6),mult(A,B)) ),
inference(resolve,[$cnf( $equal(mult(mult(A,B),mult(A,B)),mult(A,mult(B,B))) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
mult(X_6,mult(A,mult(B,B))) = mult(mult(X_6,X_6),mult(A,B)),
inference(resolve,[$cnf( $equal(mult(X_6,mult(mult(A,B),mult(A,B))),mult(mult(X_6,X_6),mult(A,B))) )],[refute_0_54,refute_0_59]) ).
cnf(refute_0_61,plain,
mult(A,mult(mult(X_6,X_6),C)) = mult(mult(A,mult(X_6,X_6)),mult(A,C)),
inference(subst,[],[c01:[bind(B,$fot(mult(X_6,X_6)))]]) ).
cnf(refute_0_62,plain,
mult(X_6,mult(C,C)) = mult(mult(X_6,X_6),C),
inference(subst,[],[refute_0_46:[bind(A,$fot(X_6))]]) ).
cnf(refute_0_63,plain,
( mult(X_6,mult(C,C)) != mult(mult(X_6,X_6),C)
| mult(mult(X_6,X_6),C) = mult(X_6,mult(C,C)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(X_6,mult(C,C)))),bind(Y,$fot(mult(mult(X_6,X_6),C)))]]) ).
cnf(refute_0_64,plain,
mult(mult(X_6,X_6),C) = mult(X_6,mult(C,C)),
inference(resolve,[$cnf( $equal(mult(X_6,mult(C,C)),mult(mult(X_6,X_6),C)) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
( mult(A,mult(mult(X_6,X_6),C)) != mult(mult(A,mult(X_6,X_6)),mult(A,C))
| mult(mult(X_6,X_6),C) != mult(X_6,mult(C,C))
| mult(A,mult(X_6,mult(C,C))) = mult(mult(A,mult(X_6,X_6)),mult(A,C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,mult(mult(X_6,X_6),C)),mult(mult(A,mult(X_6,X_6)),mult(A,C))) ),[0,1],$fot(mult(X_6,mult(C,C)))]]) ).
cnf(refute_0_66,plain,
( mult(A,mult(mult(X_6,X_6),C)) != mult(mult(A,mult(X_6,X_6)),mult(A,C))
| mult(A,mult(X_6,mult(C,C))) = mult(mult(A,mult(X_6,X_6)),mult(A,C)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_6,X_6),C),mult(X_6,mult(C,C))) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
mult(A,mult(X_6,mult(C,C))) = mult(mult(A,mult(X_6,X_6)),mult(A,C)),
inference(resolve,[$cnf( $equal(mult(A,mult(mult(X_6,X_6),C)),mult(mult(A,mult(X_6,X_6)),mult(A,C))) )],[refute_0_61,refute_0_66]) ).
cnf(refute_0_68,plain,
( mult(A,mult(B,C)) != mult(mult(A,B),mult(A,C))
| mult(mult(A,B),mult(A,C)) = mult(A,mult(B,C)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(A,mult(B,C)))),bind(Y,$fot(mult(mult(A,B),mult(A,C))))]]) ).
cnf(refute_0_69,plain,
mult(mult(A,B),mult(A,C)) = mult(A,mult(B,C)),
inference(resolve,[$cnf( $equal(mult(A,mult(B,C)),mult(mult(A,B),mult(A,C))) )],[c01,refute_0_68]) ).
cnf(refute_0_70,plain,
mult(mult(A,X_6),mult(A,C)) = mult(A,mult(X_6,C)),
inference(subst,[],[refute_0_69:[bind(B,$fot(X_6))]]) ).
cnf(refute_0_71,plain,
mult(mult(A,mult(X_6,X_6)),C) = mult(mult(A,C),mult(mult(X_6,X_6),C)),
inference(subst,[],[c02:[bind(B,$fot(mult(X_6,X_6)))]]) ).
cnf(refute_0_72,plain,
( mult(mult(A,mult(X_6,X_6)),C) != mult(mult(A,C),mult(mult(X_6,X_6),C))
| mult(mult(X_6,X_6),C) != mult(X_6,mult(C,C))
| mult(mult(A,mult(X_6,X_6)),C) = mult(mult(A,C),mult(X_6,mult(C,C))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(A,mult(X_6,X_6)),C),mult(mult(A,C),mult(mult(X_6,X_6),C))) ),[1,1],$fot(mult(X_6,mult(C,C)))]]) ).
cnf(refute_0_73,plain,
( mult(mult(A,mult(X_6,X_6)),C) != mult(mult(A,C),mult(mult(X_6,X_6),C))
| mult(mult(A,mult(X_6,X_6)),C) = mult(mult(A,C),mult(X_6,mult(C,C))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_6,X_6),C),mult(X_6,mult(C,C))) )],[refute_0_64,refute_0_72]) ).
cnf(refute_0_74,plain,
mult(mult(A,mult(X_6,X_6)),C) = mult(mult(A,C),mult(X_6,mult(C,C))),
inference(resolve,[$cnf( $equal(mult(mult(A,mult(X_6,X_6)),C),mult(mult(A,C),mult(mult(X_6,X_6),C))) )],[refute_0_71,refute_0_73]) ).
cnf(refute_0_75,plain,
mult(mult(X_3,C),mult(B,C)) = mult(mult(mult(X_3,C),B),mult(mult(X_3,C),C)),
inference(subst,[],[c01:[bind(A,$fot(mult(X_3,C)))]]) ).
cnf(refute_0_76,plain,
mult(mult(X_3,B),C) = mult(mult(X_3,C),mult(B,C)),
inference(subst,[],[c02:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_77,plain,
( mult(mult(X_3,B),C) != mult(mult(X_3,C),mult(B,C))
| mult(mult(X_3,C),mult(B,C)) = mult(mult(X_3,B),C) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(mult(X_3,B),C))),bind(Y,$fot(mult(mult(X_3,C),mult(B,C))))]]) ).
cnf(refute_0_78,plain,
mult(mult(X_3,C),mult(B,C)) = mult(mult(X_3,B),C),
inference(resolve,[$cnf( $equal(mult(mult(X_3,B),C),mult(mult(X_3,C),mult(B,C))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
( mult(mult(X_3,C),mult(B,C)) != mult(mult(X_3,B),C)
| mult(mult(X_3,C),mult(B,C)) != mult(mult(mult(X_3,C),B),mult(mult(X_3,C),C))
| mult(mult(X_3,B),C) = mult(mult(mult(X_3,C),B),mult(mult(X_3,C),C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_3,C),mult(B,C)),mult(mult(mult(X_3,C),B),mult(mult(X_3,C),C))) ),[0],$fot(mult(mult(X_3,B),C))]]) ).
cnf(refute_0_80,plain,
( mult(mult(X_3,C),mult(B,C)) != mult(mult(mult(X_3,C),B),mult(mult(X_3,C),C))
| mult(mult(X_3,B),C) = mult(mult(mult(X_3,C),B),mult(mult(X_3,C),C)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_3,C),mult(B,C)),mult(mult(X_3,B),C)) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
mult(mult(X_3,B),C) = mult(mult(mult(X_3,C),B),mult(mult(X_3,C),C)),
inference(resolve,[$cnf( $equal(mult(mult(X_3,C),mult(B,C)),mult(mult(mult(X_3,C),B),mult(mult(X_3,C),C))) )],[refute_0_75,refute_0_80]) ).
cnf(refute_0_82,plain,
mult(mult(X_3,X_5),mult(B,mult(X_4,X_5))) = mult(mult(mult(X_3,X_5),B),mult(mult(X_3,X_5),mult(X_4,X_5))),
inference(subst,[],[c01:[bind(A,$fot(mult(X_3,X_5))),bind(C,$fot(mult(X_4,X_5)))]]) ).
cnf(refute_0_83,plain,
( mult(mult(X_3,X_5),mult(B,mult(X_4,X_5))) != mult(mult(mult(X_3,X_5),B),mult(mult(X_3,X_5),mult(X_4,X_5)))
| mult(mult(X_3,X_5),mult(X_4,X_5)) != mult(mult(X_3,X_4),X_5)
| mult(mult(X_3,X_5),mult(B,mult(X_4,X_5))) = mult(mult(mult(X_3,X_5),B),mult(mult(X_3,X_4),X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_3,X_5),mult(B,mult(X_4,X_5))),mult(mult(mult(X_3,X_5),B),mult(mult(X_3,X_5),mult(X_4,X_5)))) ),[1,1],$fot(mult(mult(X_3,X_4),X_5))]]) ).
cnf(refute_0_84,plain,
( mult(mult(X_3,X_5),mult(B,mult(X_4,X_5))) != mult(mult(mult(X_3,X_5),B),mult(mult(X_3,X_5),mult(X_4,X_5)))
| mult(mult(X_3,X_5),mult(B,mult(X_4,X_5))) = mult(mult(mult(X_3,X_5),B),mult(mult(X_3,X_4),X_5)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_3,X_5),mult(X_4,X_5)),mult(mult(X_3,X_4),X_5)) )],[refute_0_6,refute_0_83]) ).
cnf(refute_0_85,plain,
mult(mult(X_3,X_5),mult(B,mult(X_4,X_5))) = mult(mult(mult(X_3,X_5),B),mult(mult(X_3,X_4),X_5)),
inference(resolve,[$cnf( $equal(mult(mult(X_3,X_5),mult(B,mult(X_4,X_5))),mult(mult(mult(X_3,X_5),B),mult(mult(X_3,X_5),mult(X_4,X_5)))) )],[refute_0_82,refute_0_84]) ).
cnf(refute_0_86,plain,
( mult(mult(X_3,X_5),mult(B,mult(X_4,X_5))) != mult(mult(mult(X_3,X_5),B),mult(mult(X_3,X_4),X_5))
| mult(mult(mult(X_3,X_5),B),mult(mult(X_3,X_4),X_5)) = mult(mult(X_3,X_5),mult(B,mult(X_4,X_5))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(mult(X_3,X_5),mult(B,mult(X_4,X_5))))),bind(Y,$fot(mult(mult(mult(X_3,X_5),B),mult(mult(X_3,X_4),X_5))))]]) ).
cnf(refute_0_87,plain,
mult(mult(mult(X_3,X_5),B),mult(mult(X_3,X_4),X_5)) = mult(mult(X_3,X_5),mult(B,mult(X_4,X_5))),
inference(resolve,[$cnf( $equal(mult(mult(X_3,X_5),mult(B,mult(X_4,X_5))),mult(mult(mult(X_3,X_5),B),mult(mult(X_3,X_4),X_5))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
mult(mult(mult(X_3,C),B),mult(mult(X_3,C),C)) = mult(mult(X_3,C),mult(B,mult(C,C))),
inference(subst,[],[refute_0_87:[bind(X_4,$fot(C)),bind(X_5,$fot(C))]]) ).
cnf(refute_0_89,plain,
( mult(mult(X_3,B),C) != mult(mult(mult(X_3,C),B),mult(mult(X_3,C),C))
| mult(mult(mult(X_3,C),B),mult(mult(X_3,C),C)) != mult(mult(X_3,C),mult(B,mult(C,C)))
| mult(mult(X_3,B),C) = mult(mult(X_3,C),mult(B,mult(C,C))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(X_3,B),C),mult(mult(X_3,C),mult(B,mult(C,C)))) ),[0],$fot(mult(mult(mult(X_3,C),B),mult(mult(X_3,C),C)))]]) ).
cnf(refute_0_90,plain,
( mult(mult(X_3,B),C) != mult(mult(mult(X_3,C),B),mult(mult(X_3,C),C))
| mult(mult(X_3,B),C) = mult(mult(X_3,C),mult(B,mult(C,C))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_3,C),B),mult(mult(X_3,C),C)),mult(mult(X_3,C),mult(B,mult(C,C)))) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
mult(mult(X_3,B),C) = mult(mult(X_3,C),mult(B,mult(C,C))),
inference(resolve,[$cnf( $equal(mult(mult(X_3,B),C),mult(mult(mult(X_3,C),B),mult(mult(X_3,C),C))) )],[refute_0_81,refute_0_90]) ).
cnf(refute_0_92,plain,
( mult(mult(X_3,B),C) != mult(mult(X_3,C),mult(B,mult(C,C)))
| mult(mult(X_3,C),mult(B,mult(C,C))) = mult(mult(X_3,B),C) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(mult(X_3,B),C))),bind(Y,$fot(mult(mult(X_3,C),mult(B,mult(C,C)))))]]) ).
cnf(refute_0_93,plain,
mult(mult(X_3,C),mult(B,mult(C,C))) = mult(mult(X_3,B),C),
inference(resolve,[$cnf( $equal(mult(mult(X_3,B),C),mult(mult(X_3,C),mult(B,mult(C,C)))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
mult(mult(A,C),mult(X_6,mult(C,C))) = mult(mult(A,X_6),C),
inference(subst,[],[refute_0_93:[bind(B,$fot(X_6)),bind(X_3,$fot(A))]]) ).
cnf(refute_0_95,plain,
( mult(mult(A,C),mult(X_6,mult(C,C))) != mult(mult(A,X_6),C)
| mult(mult(A,mult(X_6,X_6)),C) != mult(mult(A,C),mult(X_6,mult(C,C)))
| mult(mult(A,mult(X_6,X_6)),C) = mult(mult(A,X_6),C) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(A,mult(X_6,X_6)),C),mult(mult(A,C),mult(X_6,mult(C,C)))) ),[1],$fot(mult(mult(A,X_6),C))]]) ).
cnf(refute_0_96,plain,
( mult(mult(A,mult(X_6,X_6)),C) != mult(mult(A,C),mult(X_6,mult(C,C)))
| mult(mult(A,mult(X_6,X_6)),C) = mult(mult(A,X_6),C) ),
inference(resolve,[$cnf( $equal(mult(mult(A,C),mult(X_6,mult(C,C))),mult(mult(A,X_6),C)) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
mult(mult(A,mult(X_6,X_6)),C) = mult(mult(A,X_6),C),
inference(resolve,[$cnf( $equal(mult(mult(A,mult(X_6,X_6)),C),mult(mult(A,C),mult(X_6,mult(C,C)))) )],[refute_0_74,refute_0_96]) ).
cnf(refute_0_98,plain,
mult(mult(A,mult(X_6,X_6)),mult(A,C)) = mult(mult(A,X_6),mult(A,C)),
inference(subst,[],[refute_0_97:[bind(C,$fot(mult(A,C)))]]) ).
cnf(refute_0_99,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_100,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_99]) ).
cnf(refute_0_101,plain,
( mult(mult(A,X_6),mult(A,C)) != mult(A,mult(X_6,C))
| mult(mult(A,mult(X_6,X_6)),mult(A,C)) != mult(mult(A,X_6),mult(A,C))
| mult(mult(A,mult(X_6,X_6)),mult(A,C)) = mult(A,mult(X_6,C)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(mult(mult(A,mult(X_6,X_6)),mult(A,C)))),bind(Y,$fot(mult(mult(A,X_6),mult(A,C)))),bind(Z,$fot(mult(A,mult(X_6,C))))]]) ).
cnf(refute_0_102,plain,
( mult(mult(A,X_6),mult(A,C)) != mult(A,mult(X_6,C))
| mult(mult(A,mult(X_6,X_6)),mult(A,C)) = mult(A,mult(X_6,C)) ),
inference(resolve,[$cnf( $equal(mult(mult(A,mult(X_6,X_6)),mult(A,C)),mult(mult(A,X_6),mult(A,C))) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
mult(mult(A,mult(X_6,X_6)),mult(A,C)) = mult(A,mult(X_6,C)),
inference(resolve,[$cnf( $equal(mult(mult(A,X_6),mult(A,C)),mult(A,mult(X_6,C))) )],[refute_0_70,refute_0_102]) ).
cnf(refute_0_104,plain,
( mult(A,mult(X_6,mult(C,C))) != mult(mult(A,mult(X_6,X_6)),mult(A,C))
| mult(mult(A,mult(X_6,X_6)),mult(A,C)) != mult(A,mult(X_6,C))
| mult(A,mult(X_6,mult(C,C))) = mult(A,mult(X_6,C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(A,mult(X_6,mult(C,C))),mult(A,mult(X_6,C))) ),[0],$fot(mult(mult(A,mult(X_6,X_6)),mult(A,C)))]]) ).
cnf(refute_0_105,plain,
( mult(A,mult(X_6,mult(C,C))) != mult(mult(A,mult(X_6,X_6)),mult(A,C))
| mult(A,mult(X_6,mult(C,C))) = mult(A,mult(X_6,C)) ),
inference(resolve,[$cnf( $equal(mult(mult(A,mult(X_6,X_6)),mult(A,C)),mult(A,mult(X_6,C))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
mult(A,mult(X_6,mult(C,C))) = mult(A,mult(X_6,C)),
inference(resolve,[$cnf( $equal(mult(A,mult(X_6,mult(C,C))),mult(mult(A,mult(X_6,X_6)),mult(A,C))) )],[refute_0_67,refute_0_105]) ).
cnf(refute_0_107,plain,
mult(X_6,mult(A,mult(B,B))) = mult(X_6,mult(A,B)),
inference(subst,[],[refute_0_106:[bind(A,$fot(X_6)),bind(C,$fot(B)),bind(X_6,$fot(A))]]) ).
cnf(refute_0_108,plain,
( mult(X_6,mult(A,mult(B,B))) != mult(X_6,mult(A,B))
| mult(X_6,mult(A,mult(B,B))) != mult(mult(X_6,X_6),mult(A,B))
| mult(X_6,mult(A,B)) = mult(mult(X_6,X_6),mult(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_6,mult(A,mult(B,B))),mult(mult(X_6,X_6),mult(A,B))) ),[0],$fot(mult(X_6,mult(A,B)))]]) ).
cnf(refute_0_109,plain,
( mult(X_6,mult(A,mult(B,B))) != mult(mult(X_6,X_6),mult(A,B))
| mult(X_6,mult(A,B)) = mult(mult(X_6,X_6),mult(A,B)) ),
inference(resolve,[$cnf( $equal(mult(X_6,mult(A,mult(B,B))),mult(X_6,mult(A,B))) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
mult(X_6,mult(A,B)) = mult(mult(X_6,X_6),mult(A,B)),
inference(resolve,[$cnf( $equal(mult(X_6,mult(A,mult(B,B))),mult(mult(X_6,X_6),mult(A,B))) )],[refute_0_60,refute_0_109]) ).
cnf(refute_0_111,plain,
( mult(X_6,mult(A,B)) != mult(mult(X_6,X_6),mult(A,B))
| mult(mult(X_6,X_6),mult(A,B)) = mult(X_6,mult(A,B)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(X_6,mult(A,B)))),bind(Y,$fot(mult(mult(X_6,X_6),mult(A,B))))]]) ).
cnf(refute_0_112,plain,
mult(mult(X_6,X_6),mult(A,B)) = mult(X_6,mult(A,B)),
inference(resolve,[$cnf( $equal(mult(X_6,mult(A,B)),mult(mult(X_6,X_6),mult(A,B))) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
mult(mult(X_6,X_6),mult(B,X_6)) = mult(X_6,mult(B,X_6)),
inference(subst,[],[refute_0_112:[bind(A,$fot(B)),bind(B,$fot(X_6))]]) ).
cnf(refute_0_114,plain,
( mult(X_6,mult(mult(B,X_6),mult(B,X_6))) != mult(mult(X_6,X_6),mult(B,X_6))
| mult(mult(X_6,X_6),mult(B,X_6)) != mult(X_6,mult(B,X_6))
| mult(X_6,mult(mult(B,X_6),mult(B,X_6))) = mult(X_6,mult(B,X_6)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(mult(X_6,mult(mult(B,X_6),mult(B,X_6))))),bind(Y,$fot(mult(mult(X_6,X_6),mult(B,X_6)))),bind(Z,$fot(mult(X_6,mult(B,X_6))))]]) ).
cnf(refute_0_115,plain,
( mult(mult(X_6,X_6),mult(B,X_6)) != mult(X_6,mult(B,X_6))
| mult(X_6,mult(mult(B,X_6),mult(B,X_6))) = mult(X_6,mult(B,X_6)) ),
inference(resolve,[$cnf( $equal(mult(X_6,mult(mult(B,X_6),mult(B,X_6))),mult(mult(X_6,X_6),mult(B,X_6))) )],[refute_0_47,refute_0_114]) ).
cnf(refute_0_116,plain,
mult(X_6,mult(mult(B,X_6),mult(B,X_6))) = mult(X_6,mult(B,X_6)),
inference(resolve,[$cnf( $equal(mult(mult(X_6,X_6),mult(B,X_6)),mult(X_6,mult(B,X_6))) )],[refute_0_113,refute_0_115]) ).
cnf(refute_0_117,plain,
( mult(X_6,mult(mult(B,X_6),mult(B,X_6))) != mult(X_6,mult(B,X_6))
| mult(X_6,mult(mult(B,X_6),mult(B,X_6))) != mult(mult(X_6,B),X_6)
| mult(X_6,mult(B,X_6)) = mult(mult(X_6,B),X_6) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_6,mult(mult(B,X_6),mult(B,X_6))),mult(mult(X_6,B),X_6)) ),[0],$fot(mult(X_6,mult(B,X_6)))]]) ).
cnf(refute_0_118,plain,
( mult(X_6,mult(mult(B,X_6),mult(B,X_6))) != mult(mult(X_6,B),X_6)
| mult(X_6,mult(B,X_6)) = mult(mult(X_6,B),X_6) ),
inference(resolve,[$cnf( $equal(mult(X_6,mult(mult(B,X_6),mult(B,X_6))),mult(X_6,mult(B,X_6))) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
mult(X_6,mult(B,X_6)) = mult(mult(X_6,B),X_6),
inference(resolve,[$cnf( $equal(mult(X_6,mult(mult(B,X_6),mult(B,X_6))),mult(mult(X_6,B),X_6)) )],[refute_0_53,refute_0_118]) ).
cnf(refute_0_120,plain,
mult(C,mult(X_12,C)) = mult(mult(C,X_12),C),
inference(subst,[],[refute_0_119:[bind(B,$fot(X_12)),bind(X_6,$fot(C))]]) ).
cnf(refute_0_121,plain,
( mult(C,mult(X_12,C)) != mult(mult(C,X_12),C)
| mult(mult(C,X_12),C) = mult(C,mult(X_12,C)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(C,mult(X_12,C)))),bind(Y,$fot(mult(mult(C,X_12),C)))]]) ).
cnf(refute_0_122,plain,
mult(mult(C,X_12),C) = mult(C,mult(X_12,C)),
inference(resolve,[$cnf( $equal(mult(C,mult(X_12,C)),mult(mult(C,X_12),C)) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
( mult(mult(C,X_12),C) != mult(C,mult(X_12,C))
| mult(mult(mult(C,X_12),B),C) != mult(mult(mult(C,X_12),C),mult(B,C))
| mult(mult(mult(C,X_12),B),C) = mult(mult(C,mult(X_12,C)),mult(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(C,X_12),B),C),mult(mult(mult(C,X_12),C),mult(B,C))) ),[1,0],$fot(mult(C,mult(X_12,C)))]]) ).
cnf(refute_0_124,plain,
( mult(mult(mult(C,X_12),B),C) != mult(mult(mult(C,X_12),C),mult(B,C))
| mult(mult(mult(C,X_12),B),C) = mult(mult(C,mult(X_12,C)),mult(B,C)) ),
inference(resolve,[$cnf( $equal(mult(mult(C,X_12),C),mult(C,mult(X_12,C))) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
mult(mult(mult(C,X_12),B),C) = mult(mult(C,mult(X_12,C)),mult(B,C)),
inference(resolve,[$cnf( $equal(mult(mult(mult(C,X_12),B),C),mult(mult(mult(C,X_12),C),mult(B,C))) )],[refute_0_39,refute_0_124]) ).
cnf(refute_0_126,plain,
mult(mult(mult(X_77,mult(X_77,B)),X_76),X_77) = mult(mult(X_77,mult(mult(X_77,B),X_77)),mult(X_76,X_77)),
inference(subst,[],[refute_0_125:[bind(B,$fot(X_76)),bind(C,$fot(X_77)),bind(X_12,$fot(mult(X_77,B)))]]) ).
cnf(refute_0_127,plain,
mult(X_77,mult(B,X_77)) = mult(mult(X_77,B),X_77),
inference(subst,[],[refute_0_119:[bind(X_6,$fot(X_77))]]) ).
cnf(refute_0_128,plain,
( mult(X_77,mult(B,X_77)) != mult(mult(X_77,B),X_77)
| mult(mult(X_77,B),X_77) = mult(X_77,mult(B,X_77)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(X_77,mult(B,X_77)))),bind(Y,$fot(mult(mult(X_77,B),X_77)))]]) ).
cnf(refute_0_129,plain,
mult(mult(X_77,B),X_77) = mult(X_77,mult(B,X_77)),
inference(resolve,[$cnf( $equal(mult(X_77,mult(B,X_77)),mult(mult(X_77,B),X_77)) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
( mult(mult(X_77,B),X_77) != mult(X_77,mult(B,X_77))
| mult(mult(mult(X_77,mult(X_77,B)),X_76),X_77) != mult(mult(X_77,mult(mult(X_77,B),X_77)),mult(X_76,X_77))
| mult(mult(mult(X_77,mult(X_77,B)),X_76),X_77) = mult(mult(X_77,mult(X_77,mult(B,X_77))),mult(X_76,X_77)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_77,mult(X_77,B)),X_76),X_77),mult(mult(X_77,mult(mult(X_77,B),X_77)),mult(X_76,X_77))) ),[1,0,1],$fot(mult(X_77,mult(B,X_77)))]]) ).
cnf(refute_0_131,plain,
( mult(mult(mult(X_77,mult(X_77,B)),X_76),X_77) != mult(mult(X_77,mult(mult(X_77,B),X_77)),mult(X_76,X_77))
| mult(mult(mult(X_77,mult(X_77,B)),X_76),X_77) = mult(mult(X_77,mult(X_77,mult(B,X_77))),mult(X_76,X_77)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_77,B),X_77),mult(X_77,mult(B,X_77))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
mult(mult(mult(X_77,mult(X_77,B)),X_76),X_77) = mult(mult(X_77,mult(X_77,mult(B,X_77))),mult(X_76,X_77)),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_77,mult(X_77,B)),X_76),X_77),mult(mult(X_77,mult(mult(X_77,B),X_77)),mult(X_76,X_77))) )],[refute_0_126,refute_0_131]) ).
cnf(refute_0_133,plain,
( mult(mult(mult(X_77,mult(X_77,B)),X_76),X_77) != mult(mult(X_77,mult(X_77,mult(B,X_77))),mult(X_76,X_77))
| mult(mult(X_77,mult(X_77,mult(B,X_77))),mult(X_76,X_77)) = mult(mult(mult(X_77,mult(X_77,B)),X_76),X_77) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(mult(mult(X_77,mult(X_77,B)),X_76),X_77))),bind(Y,$fot(mult(mult(X_77,mult(X_77,mult(B,X_77))),mult(X_76,X_77))))]]) ).
cnf(refute_0_134,plain,
mult(mult(X_77,mult(X_77,mult(B,X_77))),mult(X_76,X_77)) = mult(mult(mult(X_77,mult(X_77,B)),X_76),X_77),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_77,mult(X_77,B)),X_76),X_77),mult(mult(X_77,mult(X_77,mult(B,X_77))),mult(X_76,X_77))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
mult(mult(X_4,mult(X_4,mult(X_3,X_4))),mult(X_3,X_4)) = mult(mult(mult(X_4,mult(X_4,X_3)),X_3),X_4),
inference(subst,[],[refute_0_134:[bind(B,$fot(X_3)),bind(X_76,$fot(X_3)),bind(X_77,$fot(X_4))]]) ).
cnf(refute_0_136,plain,
mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(mult(X_19,X_20),mult(X_19,X_20))) = mult(mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(X_18,mult(X_20,mult(X_19,X_20)))),mult(X_19,X_20)),
inference(subst,[],[refute_0_46:[bind(A,$fot(mult(X_18,mult(X_20,mult(X_19,X_20))))),bind(C,$fot(mult(X_19,X_20)))]]) ).
cnf(refute_0_137,plain,
mult(mult(X_18,mult(X_19,mult(X_19,X_20))),mult(X_20,mult(X_19,X_20))) = mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(mult(X_19,X_20),mult(X_19,X_20))),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_18)),bind(X_3,$fot(X_19)),bind(X_4,$fot(X_20)),bind(X_5,$fot(mult(X_19,X_20)))]]) ).
cnf(refute_0_138,plain,
( mult(mult(X_18,mult(X_19,mult(X_19,X_20))),mult(X_20,mult(X_19,X_20))) != mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(mult(X_19,X_20),mult(X_19,X_20)))
| mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(mult(X_19,X_20),mult(X_19,X_20))) = mult(mult(X_18,mult(X_19,mult(X_19,X_20))),mult(X_20,mult(X_19,X_20))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(mult(X_18,mult(X_19,mult(X_19,X_20))),mult(X_20,mult(X_19,X_20))))),bind(Y,$fot(mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(mult(X_19,X_20),mult(X_19,X_20)))))]]) ).
cnf(refute_0_139,plain,
mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(mult(X_19,X_20),mult(X_19,X_20))) = mult(mult(X_18,mult(X_19,mult(X_19,X_20))),mult(X_20,mult(X_19,X_20))),
inference(resolve,[$cnf( $equal(mult(mult(X_18,mult(X_19,mult(X_19,X_20))),mult(X_20,mult(X_19,X_20))),mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(mult(X_19,X_20),mult(X_19,X_20)))) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
( mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(mult(X_19,X_20),mult(X_19,X_20))) != mult(mult(X_18,mult(X_19,mult(X_19,X_20))),mult(X_20,mult(X_19,X_20)))
| mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(mult(X_19,X_20),mult(X_19,X_20))) != mult(mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(X_18,mult(X_20,mult(X_19,X_20)))),mult(X_19,X_20))
| mult(mult(X_18,mult(X_19,mult(X_19,X_20))),mult(X_20,mult(X_19,X_20))) = mult(mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(X_18,mult(X_20,mult(X_19,X_20)))),mult(X_19,X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(mult(X_19,X_20),mult(X_19,X_20))),mult(mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(X_18,mult(X_20,mult(X_19,X_20)))),mult(X_19,X_20))) ),[0],$fot(mult(mult(X_18,mult(X_19,mult(X_19,X_20))),mult(X_20,mult(X_19,X_20))))]]) ).
cnf(refute_0_141,plain,
( mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(mult(X_19,X_20),mult(X_19,X_20))) != mult(mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(X_18,mult(X_20,mult(X_19,X_20)))),mult(X_19,X_20))
| mult(mult(X_18,mult(X_19,mult(X_19,X_20))),mult(X_20,mult(X_19,X_20))) = mult(mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(X_18,mult(X_20,mult(X_19,X_20)))),mult(X_19,X_20)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(mult(X_19,X_20),mult(X_19,X_20))),mult(mult(X_18,mult(X_19,mult(X_19,X_20))),mult(X_20,mult(X_19,X_20)))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
mult(mult(X_18,mult(X_19,mult(X_19,X_20))),mult(X_20,mult(X_19,X_20))) = mult(mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(X_18,mult(X_20,mult(X_19,X_20)))),mult(X_19,X_20)),
inference(resolve,[$cnf( $equal(mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(mult(X_19,X_20),mult(X_19,X_20))),mult(mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(X_18,mult(X_20,mult(X_19,X_20)))),mult(X_19,X_20))) )],[refute_0_136,refute_0_141]) ).
cnf(refute_0_143,plain,
mult(mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(X_18,mult(X_20,mult(X_19,X_20)))),mult(X_19,X_20)) = mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(X_19,X_20)),
inference(subst,[],[refute_0_112:[bind(A,$fot(X_19)),bind(B,$fot(X_20)),bind(X_6,$fot(mult(X_18,mult(X_20,mult(X_19,X_20)))))]]) ).
cnf(refute_0_144,plain,
( mult(mult(X_18,mult(X_19,mult(X_19,X_20))),mult(X_20,mult(X_19,X_20))) != mult(mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(X_18,mult(X_20,mult(X_19,X_20)))),mult(X_19,X_20))
| mult(mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(X_18,mult(X_20,mult(X_19,X_20)))),mult(X_19,X_20)) != mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(X_19,X_20))
| mult(mult(X_18,mult(X_19,mult(X_19,X_20))),mult(X_20,mult(X_19,X_20))) = mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(X_19,X_20)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(X_18,mult(X_19,mult(X_19,X_20))),mult(X_20,mult(X_19,X_20))),mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(X_19,X_20))) ),[0],$fot(mult(mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(X_18,mult(X_20,mult(X_19,X_20)))),mult(X_19,X_20)))]]) ).
cnf(refute_0_145,plain,
( mult(mult(X_18,mult(X_19,mult(X_19,X_20))),mult(X_20,mult(X_19,X_20))) != mult(mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(X_18,mult(X_20,mult(X_19,X_20)))),mult(X_19,X_20))
| mult(mult(X_18,mult(X_19,mult(X_19,X_20))),mult(X_20,mult(X_19,X_20))) = mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(X_19,X_20)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(X_18,mult(X_20,mult(X_19,X_20)))),mult(X_19,X_20)),mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(X_19,X_20))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
mult(mult(X_18,mult(X_19,mult(X_19,X_20))),mult(X_20,mult(X_19,X_20))) = mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(X_19,X_20)),
inference(resolve,[$cnf( $equal(mult(mult(X_18,mult(X_19,mult(X_19,X_20))),mult(X_20,mult(X_19,X_20))),mult(mult(mult(X_18,mult(X_20,mult(X_19,X_20))),mult(X_18,mult(X_20,mult(X_19,X_20)))),mult(X_19,X_20))) )],[refute_0_142,refute_0_145]) ).
cnf(refute_0_147,plain,
mult(mult(X_4,mult(X_3,mult(X_3,X_4))),mult(X_4,mult(X_3,X_4))) = mult(mult(X_4,mult(X_4,mult(X_3,X_4))),mult(X_3,X_4)),
inference(subst,[],[refute_0_146:[bind(X_18,$fot(X_4)),bind(X_19,$fot(X_3)),bind(X_20,$fot(X_4))]]) ).
cnf(refute_0_148,plain,
( mult(mult(X_4,mult(X_3,mult(X_3,X_4))),mult(X_4,mult(X_3,X_4))) != mult(mult(X_4,mult(X_4,mult(X_3,X_4))),mult(X_3,X_4))
| mult(mult(X_4,mult(X_4,mult(X_3,X_4))),mult(X_3,X_4)) != mult(mult(mult(X_4,mult(X_4,X_3)),X_3),X_4)
| mult(mult(X_4,mult(X_3,mult(X_3,X_4))),mult(X_4,mult(X_3,X_4))) = mult(mult(mult(X_4,mult(X_4,X_3)),X_3),X_4) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(mult(mult(X_4,mult(X_3,mult(X_3,X_4))),mult(X_4,mult(X_3,X_4))))),bind(Y,$fot(mult(mult(X_4,mult(X_4,mult(X_3,X_4))),mult(X_3,X_4)))),bind(Z,$fot(mult(mult(mult(X_4,mult(X_4,X_3)),X_3),X_4)))]]) ).
cnf(refute_0_149,plain,
( mult(mult(X_4,mult(X_4,mult(X_3,X_4))),mult(X_3,X_4)) != mult(mult(mult(X_4,mult(X_4,X_3)),X_3),X_4)
| mult(mult(X_4,mult(X_3,mult(X_3,X_4))),mult(X_4,mult(X_3,X_4))) = mult(mult(mult(X_4,mult(X_4,X_3)),X_3),X_4) ),
inference(resolve,[$cnf( $equal(mult(mult(X_4,mult(X_3,mult(X_3,X_4))),mult(X_4,mult(X_3,X_4))),mult(mult(X_4,mult(X_4,mult(X_3,X_4))),mult(X_3,X_4))) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
mult(mult(X_4,mult(X_3,mult(X_3,X_4))),mult(X_4,mult(X_3,X_4))) = mult(mult(mult(X_4,mult(X_4,X_3)),X_3),X_4),
inference(resolve,[$cnf( $equal(mult(mult(X_4,mult(X_4,mult(X_3,X_4))),mult(X_3,X_4)),mult(mult(mult(X_4,mult(X_4,X_3)),X_3),X_4)) )],[refute_0_135,refute_0_149]) ).
cnf(refute_0_151,plain,
( mult(mult(X_4,mult(X_3,mult(X_3,X_4))),mult(X_4,mult(X_3,X_4))) != mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4)))
| mult(mult(X_4,mult(X_3,mult(X_3,X_4))),mult(X_4,mult(X_3,X_4))) != mult(mult(mult(X_4,mult(X_4,X_3)),X_3),X_4)
| mult(mult(mult(X_4,mult(X_4,X_3)),X_3),X_4) = mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_4,mult(X_3,mult(X_3,X_4))),mult(X_4,mult(X_3,X_4))),mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4)))) ),[0],$fot(mult(mult(mult(X_4,mult(X_4,X_3)),X_3),X_4))]]) ).
cnf(refute_0_152,plain,
( mult(mult(X_4,mult(X_3,mult(X_3,X_4))),mult(X_4,mult(X_3,X_4))) != mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4)))
| mult(mult(mult(X_4,mult(X_4,X_3)),X_3),X_4) = mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_4,mult(X_3,mult(X_3,X_4))),mult(X_4,mult(X_3,X_4))),mult(mult(mult(X_4,mult(X_4,X_3)),X_3),X_4)) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
mult(mult(X_3,X_3),mult(mult(X_3,X_4),X_4)) = mult(X_3,mult(mult(X_3,X_4),X_4)),
inference(subst,[],[refute_0_112:[bind(A,$fot(mult(X_3,X_4))),bind(B,$fot(X_4)),bind(X_6,$fot(X_3))]]) ).
cnf(refute_0_154,plain,
mult(mult(X_0,X_1),mult(mult(X_0,C),C)) = mult(mult(X_0,mult(X_1,C)),mult(mult(X_0,X_1),C)),
inference(subst,[],[refute_0_18:[bind(X_2,$fot(C))]]) ).
cnf(refute_0_155,plain,
mult(mult(X_0,mult(X_0,C)),mult(X_1,C)) = mult(mult(X_0,mult(X_1,C)),mult(mult(X_0,X_1),C)),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_0)),bind(X_3,$fot(X_0)),bind(X_4,$fot(X_1)),bind(X_5,$fot(C))]]) ).
cnf(refute_0_156,plain,
( mult(mult(X_0,mult(X_0,C)),mult(X_1,C)) != mult(mult(X_0,mult(X_1,C)),mult(mult(X_0,X_1),C))
| mult(mult(X_0,mult(X_1,C)),mult(mult(X_0,X_1),C)) = mult(mult(X_0,mult(X_0,C)),mult(X_1,C)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(mult(X_0,mult(X_0,C)),mult(X_1,C)))),bind(Y,$fot(mult(mult(X_0,mult(X_1,C)),mult(mult(X_0,X_1),C))))]]) ).
cnf(refute_0_157,plain,
mult(mult(X_0,mult(X_1,C)),mult(mult(X_0,X_1),C)) = mult(mult(X_0,mult(X_0,C)),mult(X_1,C)),
inference(resolve,[$cnf( $equal(mult(mult(X_0,mult(X_0,C)),mult(X_1,C)),mult(mult(X_0,mult(X_1,C)),mult(mult(X_0,X_1),C))) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
( mult(mult(X_0,X_1),mult(mult(X_0,C),C)) != mult(mult(X_0,mult(X_1,C)),mult(mult(X_0,X_1),C))
| mult(mult(X_0,mult(X_1,C)),mult(mult(X_0,X_1),C)) != mult(mult(X_0,mult(X_0,C)),mult(X_1,C))
| mult(mult(X_0,X_1),mult(mult(X_0,C),C)) = mult(mult(X_0,mult(X_0,C)),mult(X_1,C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(X_0,X_1),mult(mult(X_0,C),C)),mult(mult(X_0,mult(X_0,C)),mult(X_1,C))) ),[0],$fot(mult(mult(X_0,mult(X_1,C)),mult(mult(X_0,X_1),C)))]]) ).
cnf(refute_0_159,plain,
( mult(mult(X_0,X_1),mult(mult(X_0,C),C)) != mult(mult(X_0,mult(X_1,C)),mult(mult(X_0,X_1),C))
| mult(mult(X_0,X_1),mult(mult(X_0,C),C)) = mult(mult(X_0,mult(X_0,C)),mult(X_1,C)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_0,mult(X_1,C)),mult(mult(X_0,X_1),C)),mult(mult(X_0,mult(X_0,C)),mult(X_1,C))) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
mult(mult(X_0,X_1),mult(mult(X_0,C),C)) = mult(mult(X_0,mult(X_0,C)),mult(X_1,C)),
inference(resolve,[$cnf( $equal(mult(mult(X_0,X_1),mult(mult(X_0,C),C)),mult(mult(X_0,mult(X_1,C)),mult(mult(X_0,X_1),C))) )],[refute_0_154,refute_0_159]) ).
cnf(refute_0_161,plain,
( mult(mult(X_0,X_1),mult(mult(X_0,C),C)) != mult(mult(X_0,mult(X_0,C)),mult(X_1,C))
| mult(mult(X_0,mult(X_0,C)),mult(X_1,C)) = mult(mult(X_0,X_1),mult(mult(X_0,C),C)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(mult(X_0,X_1),mult(mult(X_0,C),C)))),bind(Y,$fot(mult(mult(X_0,mult(X_0,C)),mult(X_1,C))))]]) ).
cnf(refute_0_162,plain,
mult(mult(X_0,mult(X_0,C)),mult(X_1,C)) = mult(mult(X_0,X_1),mult(mult(X_0,C),C)),
inference(resolve,[$cnf( $equal(mult(mult(X_0,X_1),mult(mult(X_0,C),C)),mult(mult(X_0,mult(X_0,C)),mult(X_1,C))) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4)) = mult(mult(X_3,X_3),mult(mult(X_3,X_4),X_4)),
inference(subst,[],[refute_0_162:[bind(C,$fot(X_4)),bind(X_0,$fot(X_3)),bind(X_1,$fot(X_3))]]) ).
cnf(refute_0_164,plain,
( mult(mult(X_3,X_3),mult(mult(X_3,X_4),X_4)) != mult(X_3,mult(mult(X_3,X_4),X_4))
| mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4)) != mult(mult(X_3,X_3),mult(mult(X_3,X_4),X_4))
| mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4)) = mult(X_3,mult(mult(X_3,X_4),X_4)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4)))),bind(Y,$fot(mult(mult(X_3,X_3),mult(mult(X_3,X_4),X_4)))),bind(Z,$fot(mult(X_3,mult(mult(X_3,X_4),X_4))))]]) ).
cnf(refute_0_165,plain,
( mult(mult(X_3,X_3),mult(mult(X_3,X_4),X_4)) != mult(X_3,mult(mult(X_3,X_4),X_4))
| mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4)) = mult(X_3,mult(mult(X_3,X_4),X_4)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4)),mult(mult(X_3,X_3),mult(mult(X_3,X_4),X_4))) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4)) = mult(X_3,mult(mult(X_3,X_4),X_4)),
inference(resolve,[$cnf( $equal(mult(mult(X_3,X_3),mult(mult(X_3,X_4),X_4)),mult(X_3,mult(mult(X_3,X_4),X_4))) )],[refute_0_153,refute_0_165]) ).
cnf(refute_0_167,plain,
mult(X_4,mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4))) = mult(X_4,mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4))),
introduced(tautology,[refl,[$fot(mult(X_4,mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4))))]]) ).
cnf(refute_0_168,plain,
( mult(X_4,mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4))) != mult(X_4,mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4)))
| mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4)) != mult(X_3,mult(mult(X_3,X_4),X_4))
| mult(X_4,mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4))) = mult(X_4,mult(X_3,mult(mult(X_3,X_4),X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_4,mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4))),mult(X_4,mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4)))) ),[1,1],$fot(mult(X_3,mult(mult(X_3,X_4),X_4)))]]) ).
cnf(refute_0_169,plain,
( mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4)) != mult(X_3,mult(mult(X_3,X_4),X_4))
| mult(X_4,mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4))) = mult(X_4,mult(X_3,mult(mult(X_3,X_4),X_4))) ),
inference(resolve,[$cnf( $equal(mult(X_4,mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4))),mult(X_4,mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4)))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
mult(X_4,mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4))) = mult(X_4,mult(X_3,mult(mult(X_3,X_4),X_4))),
inference(resolve,[$cnf( $equal(mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4)),mult(X_3,mult(mult(X_3,X_4),X_4))) )],[refute_0_166,refute_0_169]) ).
cnf(refute_0_171,plain,
mult(mult(mult(A,B),X_4),mult(A,C)) = mult(mult(mult(A,B),mult(A,C)),mult(X_4,mult(A,C))),
inference(subst,[],[c02:[bind(A,$fot(mult(A,B))),bind(B,$fot(X_4)),bind(C,$fot(mult(A,C)))]]) ).
cnf(refute_0_172,plain,
( mult(mult(A,B),mult(A,C)) != mult(A,mult(B,C))
| mult(mult(mult(A,B),X_4),mult(A,C)) != mult(mult(mult(A,B),mult(A,C)),mult(X_4,mult(A,C)))
| mult(mult(mult(A,B),X_4),mult(A,C)) = mult(mult(A,mult(B,C)),mult(X_4,mult(A,C))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(A,B),X_4),mult(A,C)),mult(mult(mult(A,B),mult(A,C)),mult(X_4,mult(A,C)))) ),[1,0],$fot(mult(A,mult(B,C)))]]) ).
cnf(refute_0_173,plain,
( mult(mult(mult(A,B),X_4),mult(A,C)) != mult(mult(mult(A,B),mult(A,C)),mult(X_4,mult(A,C)))
| mult(mult(mult(A,B),X_4),mult(A,C)) = mult(mult(A,mult(B,C)),mult(X_4,mult(A,C))) ),
inference(resolve,[$cnf( $equal(mult(mult(A,B),mult(A,C)),mult(A,mult(B,C))) )],[refute_0_69,refute_0_172]) ).
cnf(refute_0_174,plain,
mult(mult(mult(A,B),X_4),mult(A,C)) = mult(mult(A,mult(B,C)),mult(X_4,mult(A,C))),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),X_4),mult(A,C)),mult(mult(mult(A,B),mult(A,C)),mult(X_4,mult(A,C)))) )],[refute_0_171,refute_0_173]) ).
cnf(refute_0_175,plain,
mult(mult(mult(A,B),mult(A,C)),mult(A,C)) = mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C))),
inference(subst,[],[refute_0_174:[bind(X_4,$fot(mult(A,C)))]]) ).
cnf(refute_0_176,plain,
mult(mult(X_19,X_20),mult(mult(X_20,C),C)) = mult(mult(mult(X_19,X_20),mult(X_20,C)),mult(mult(X_19,X_20),C)),
inference(subst,[],[c01:[bind(A,$fot(mult(X_19,X_20))),bind(B,$fot(mult(X_20,C)))]]) ).
cnf(refute_0_177,plain,
mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C)) = mult(mult(mult(X_19,X_20),mult(X_20,C)),mult(mult(X_19,X_20),C)),
inference(subst,[],[refute_0_9:[bind(A,$fot(mult(X_19,X_20))),bind(X_3,$fot(X_19)),bind(X_4,$fot(X_20)),bind(X_5,$fot(C))]]) ).
cnf(refute_0_178,plain,
( mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C)) != mult(mult(mult(X_19,X_20),mult(X_20,C)),mult(mult(X_19,X_20),C))
| mult(mult(mult(X_19,X_20),mult(X_20,C)),mult(mult(X_19,X_20),C)) = mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C)))),bind(Y,$fot(mult(mult(mult(X_19,X_20),mult(X_20,C)),mult(mult(X_19,X_20),C))))]]) ).
cnf(refute_0_179,plain,
mult(mult(mult(X_19,X_20),mult(X_20,C)),mult(mult(X_19,X_20),C)) = mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C)),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C)),mult(mult(mult(X_19,X_20),mult(X_20,C)),mult(mult(X_19,X_20),C))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
( mult(mult(X_19,X_20),mult(mult(X_20,C),C)) != mult(mult(mult(X_19,X_20),mult(X_20,C)),mult(mult(X_19,X_20),C))
| mult(mult(mult(X_19,X_20),mult(X_20,C)),mult(mult(X_19,X_20),C)) != mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C))
| mult(mult(X_19,X_20),mult(mult(X_20,C),C)) = mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(X_19,X_20),mult(mult(X_20,C),C)),mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C))) ),[0],$fot(mult(mult(mult(X_19,X_20),mult(X_20,C)),mult(mult(X_19,X_20),C)))]]) ).
cnf(refute_0_181,plain,
( mult(mult(X_19,X_20),mult(mult(X_20,C),C)) != mult(mult(mult(X_19,X_20),mult(X_20,C)),mult(mult(X_19,X_20),C))
| mult(mult(X_19,X_20),mult(mult(X_20,C),C)) = mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_19,X_20),mult(X_20,C)),mult(mult(X_19,X_20),C)),mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C))) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
mult(mult(X_19,X_20),mult(mult(X_20,C),C)) = mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C)),
inference(resolve,[$cnf( $equal(mult(mult(X_19,X_20),mult(mult(X_20,C),C)),mult(mult(mult(X_19,X_20),mult(X_20,C)),mult(mult(X_19,X_20),C))) )],[refute_0_176,refute_0_181]) ).
cnf(refute_0_183,plain,
mult(mult(X_19,X_20),mult(X_19,C)) = mult(X_19,mult(X_20,C)),
inference(subst,[],[refute_0_69:[bind(A,$fot(X_19)),bind(B,$fot(X_20))]]) ).
cnf(refute_0_184,plain,
mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C)) = mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C)),
introduced(tautology,[refl,[$fot(mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C)))]]) ).
cnf(refute_0_185,plain,
( mult(mult(X_19,X_20),mult(X_19,C)) != mult(X_19,mult(X_20,C))
| mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C)) != mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C))
| mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C)) = mult(mult(X_19,mult(X_20,C)),mult(X_20,C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C)),mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C))) ),[1,0],$fot(mult(X_19,mult(X_20,C)))]]) ).
cnf(refute_0_186,plain,
( mult(mult(X_19,X_20),mult(X_19,C)) != mult(X_19,mult(X_20,C))
| mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C)) = mult(mult(X_19,mult(X_20,C)),mult(X_20,C)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C)),mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C))) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C)) = mult(mult(X_19,mult(X_20,C)),mult(X_20,C)),
inference(resolve,[$cnf( $equal(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_19,mult(X_20,C))) )],[refute_0_183,refute_0_186]) ).
cnf(refute_0_188,plain,
( mult(mult(X_19,X_20),mult(mult(X_20,C),C)) != mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C))
| mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C)) != mult(mult(X_19,mult(X_20,C)),mult(X_20,C))
| mult(mult(X_19,X_20),mult(mult(X_20,C),C)) = mult(mult(X_19,mult(X_20,C)),mult(X_20,C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(X_19,X_20),mult(mult(X_20,C),C)),mult(mult(X_19,mult(X_20,C)),mult(X_20,C))) ),[0],$fot(mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C)))]]) ).
cnf(refute_0_189,plain,
( mult(mult(X_19,X_20),mult(mult(X_20,C),C)) != mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C))
| mult(mult(X_19,X_20),mult(mult(X_20,C),C)) = mult(mult(X_19,mult(X_20,C)),mult(X_20,C)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C)),mult(mult(X_19,mult(X_20,C)),mult(X_20,C))) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
mult(mult(X_19,X_20),mult(mult(X_20,C),C)) = mult(mult(X_19,mult(X_20,C)),mult(X_20,C)),
inference(resolve,[$cnf( $equal(mult(mult(X_19,X_20),mult(mult(X_20,C),C)),mult(mult(mult(X_19,X_20),mult(X_19,C)),mult(X_20,C))) )],[refute_0_182,refute_0_189]) ).
cnf(refute_0_191,plain,
mult(mult(mult(A,B),A),mult(mult(A,C),C)) = mult(mult(mult(A,B),mult(A,C)),mult(A,C)),
inference(subst,[],[refute_0_190:[bind(X_19,$fot(mult(A,B))),bind(X_20,$fot(A))]]) ).
cnf(refute_0_192,plain,
( mult(mult(mult(A,B),A),mult(mult(A,C),C)) != mult(mult(mult(A,B),mult(A,C)),mult(A,C))
| mult(mult(mult(A,B),mult(A,C)),mult(A,C)) = mult(mult(mult(A,B),A),mult(mult(A,C),C)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(mult(mult(A,B),A),mult(mult(A,C),C)))),bind(Y,$fot(mult(mult(mult(A,B),mult(A,C)),mult(A,C))))]]) ).
cnf(refute_0_193,plain,
mult(mult(mult(A,B),mult(A,C)),mult(A,C)) = mult(mult(mult(A,B),A),mult(mult(A,C),C)),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),A),mult(mult(A,C),C)),mult(mult(mult(A,B),mult(A,C)),mult(A,C))) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
( mult(mult(mult(A,B),mult(A,C)),mult(A,C)) != mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C)))
| mult(mult(mult(A,B),mult(A,C)),mult(A,C)) != mult(mult(mult(A,B),A),mult(mult(A,C),C))
| mult(mult(mult(A,B),A),mult(mult(A,C),C)) = mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(A,B),mult(A,C)),mult(A,C)),mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C)))) ),[0],$fot(mult(mult(mult(A,B),A),mult(mult(A,C),C)))]]) ).
cnf(refute_0_195,plain,
( mult(mult(mult(A,B),mult(A,C)),mult(A,C)) != mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C)))
| mult(mult(mult(A,B),A),mult(mult(A,C),C)) = mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),mult(A,C)),mult(A,C)),mult(mult(mult(A,B),A),mult(mult(A,C),C))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
mult(mult(mult(A,B),A),mult(mult(A,C),C)) = mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C))),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),mult(A,C)),mult(A,C)),mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C)))) )],[refute_0_175,refute_0_195]) ).
cnf(refute_0_197,plain,
( mult(X_6,mult(B,X_6)) != mult(mult(X_6,B),X_6)
| mult(mult(X_6,B),X_6) = mult(X_6,mult(B,X_6)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(X_6,mult(B,X_6)))),bind(Y,$fot(mult(mult(X_6,B),X_6)))]]) ).
cnf(refute_0_198,plain,
mult(mult(X_6,B),X_6) = mult(X_6,mult(B,X_6)),
inference(resolve,[$cnf( $equal(mult(X_6,mult(B,X_6)),mult(mult(X_6,B),X_6)) )],[refute_0_119,refute_0_197]) ).
cnf(refute_0_199,plain,
mult(mult(A,B),A) = mult(A,mult(B,A)),
inference(subst,[],[refute_0_198:[bind(X_6,$fot(A))]]) ).
cnf(refute_0_200,plain,
mult(mult(mult(A,B),A),mult(mult(A,C),C)) = mult(mult(mult(A,B),A),mult(mult(A,C),C)),
introduced(tautology,[refl,[$fot(mult(mult(mult(A,B),A),mult(mult(A,C),C)))]]) ).
cnf(refute_0_201,plain,
( mult(mult(A,B),A) != mult(A,mult(B,A))
| mult(mult(mult(A,B),A),mult(mult(A,C),C)) != mult(mult(mult(A,B),A),mult(mult(A,C),C))
| mult(mult(mult(A,B),A),mult(mult(A,C),C)) = mult(mult(A,mult(B,A)),mult(mult(A,C),C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(A,B),A),mult(mult(A,C),C)),mult(mult(mult(A,B),A),mult(mult(A,C),C))) ),[1,0],$fot(mult(A,mult(B,A)))]]) ).
cnf(refute_0_202,plain,
( mult(mult(A,B),A) != mult(A,mult(B,A))
| mult(mult(mult(A,B),A),mult(mult(A,C),C)) = mult(mult(A,mult(B,A)),mult(mult(A,C),C)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),A),mult(mult(A,C),C)),mult(mult(mult(A,B),A),mult(mult(A,C),C))) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
mult(mult(mult(A,B),A),mult(mult(A,C),C)) = mult(mult(A,mult(B,A)),mult(mult(A,C),C)),
inference(resolve,[$cnf( $equal(mult(mult(A,B),A),mult(A,mult(B,A))) )],[refute_0_199,refute_0_202]) ).
cnf(refute_0_204,plain,
( mult(mult(mult(A,B),A),mult(mult(A,C),C)) != mult(mult(A,mult(B,A)),mult(mult(A,C),C))
| mult(mult(mult(A,B),A),mult(mult(A,C),C)) != mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C)))
| mult(mult(A,mult(B,A)),mult(mult(A,C),C)) = mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(A,B),A),mult(mult(A,C),C)),mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C)))) ),[0],$fot(mult(mult(A,mult(B,A)),mult(mult(A,C),C)))]]) ).
cnf(refute_0_205,plain,
( mult(mult(mult(A,B),A),mult(mult(A,C),C)) != mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C)))
| mult(mult(A,mult(B,A)),mult(mult(A,C),C)) = mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),A),mult(mult(A,C),C)),mult(mult(A,mult(B,A)),mult(mult(A,C),C))) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
mult(mult(A,mult(B,C)),mult(A,C)) = mult(A,mult(mult(B,C),C)),
inference(subst,[],[refute_0_69:[bind(B,$fot(mult(B,C)))]]) ).
cnf(refute_0_207,plain,
mult(mult(A,C),mult(X_7,X_7)) = mult(mult(mult(A,C),mult(A,C)),X_7),
inference(subst,[],[refute_0_46:[bind(A,$fot(mult(A,C))),bind(C,$fot(X_7))]]) ).
cnf(refute_0_208,plain,
( mult(mult(A,C),mult(A,C)) != mult(mult(A,A),C)
| mult(mult(A,C),mult(X_7,X_7)) != mult(mult(mult(A,C),mult(A,C)),X_7)
| mult(mult(A,C),mult(X_7,X_7)) = mult(mult(mult(A,A),C),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(A,C),mult(X_7,X_7)),mult(mult(mult(A,C),mult(A,C)),X_7)) ),[1,0],$fot(mult(mult(A,A),C))]]) ).
cnf(refute_0_209,plain,
( mult(mult(A,C),mult(X_7,X_7)) != mult(mult(mult(A,C),mult(A,C)),X_7)
| mult(mult(A,C),mult(X_7,X_7)) = mult(mult(mult(A,A),C),X_7) ),
inference(resolve,[$cnf( $equal(mult(mult(A,C),mult(A,C)),mult(mult(A,A),C)) )],[refute_0_43,refute_0_208]) ).
cnf(refute_0_210,plain,
mult(mult(A,C),mult(X_7,X_7)) = mult(mult(mult(A,A),C),X_7),
inference(resolve,[$cnf( $equal(mult(mult(A,C),mult(X_7,X_7)),mult(mult(mult(A,C),mult(A,C)),X_7)) )],[refute_0_207,refute_0_209]) ).
cnf(refute_0_211,plain,
mult(mult(mult(X_6,X_6),B),C) = mult(mult(mult(X_6,X_6),C),mult(B,C)),
inference(subst,[],[c02:[bind(A,$fot(mult(X_6,X_6)))]]) ).
cnf(refute_0_212,plain,
mult(X_6,mult(B,B)) = mult(mult(X_6,X_6),B),
inference(subst,[],[refute_0_46:[bind(A,$fot(X_6)),bind(C,$fot(B))]]) ).
cnf(refute_0_213,plain,
( mult(X_6,mult(B,B)) != mult(mult(X_6,X_6),B)
| mult(mult(X_6,X_6),B) = mult(X_6,mult(B,B)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(X_6,mult(B,B)))),bind(Y,$fot(mult(mult(X_6,X_6),B)))]]) ).
cnf(refute_0_214,plain,
mult(mult(X_6,X_6),B) = mult(X_6,mult(B,B)),
inference(resolve,[$cnf( $equal(mult(X_6,mult(B,B)),mult(mult(X_6,X_6),B)) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
( mult(mult(X_6,X_6),B) != mult(X_6,mult(B,B))
| mult(mult(mult(X_6,X_6),B),C) != mult(mult(mult(X_6,X_6),C),mult(B,C))
| mult(mult(X_6,mult(B,B)),C) = mult(mult(mult(X_6,X_6),C),mult(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_6,X_6),B),C),mult(mult(mult(X_6,X_6),C),mult(B,C))) ),[0,0],$fot(mult(X_6,mult(B,B)))]]) ).
cnf(refute_0_216,plain,
( mult(mult(mult(X_6,X_6),B),C) != mult(mult(mult(X_6,X_6),C),mult(B,C))
| mult(mult(X_6,mult(B,B)),C) = mult(mult(mult(X_6,X_6),C),mult(B,C)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_6,X_6),B),mult(X_6,mult(B,B))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
mult(mult(X_6,mult(B,B)),C) = mult(mult(mult(X_6,X_6),C),mult(B,C)),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_6,X_6),B),C),mult(mult(mult(X_6,X_6),C),mult(B,C))) )],[refute_0_211,refute_0_216]) ).
cnf(refute_0_218,plain,
mult(mult(X_6,mult(B,B)),C) = mult(mult(X_6,B),C),
inference(subst,[],[refute_0_97:[bind(A,$fot(X_6)),bind(X_6,$fot(B))]]) ).
cnf(refute_0_219,plain,
( mult(mult(X_6,mult(B,B)),C) != mult(mult(X_6,B),C)
| mult(mult(X_6,mult(B,B)),C) != mult(mult(mult(X_6,X_6),C),mult(B,C))
| mult(mult(X_6,B),C) = mult(mult(mult(X_6,X_6),C),mult(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_6,mult(B,B)),C),mult(mult(mult(X_6,X_6),C),mult(B,C))) ),[0],$fot(mult(mult(X_6,B),C))]]) ).
cnf(refute_0_220,plain,
( mult(mult(X_6,mult(B,B)),C) != mult(mult(mult(X_6,X_6),C),mult(B,C))
| mult(mult(X_6,B),C) = mult(mult(mult(X_6,X_6),C),mult(B,C)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_6,mult(B,B)),C),mult(mult(X_6,B),C)) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
mult(mult(mult(X_6,X_6),C),mult(B,C)) = mult(mult(mult(X_6,X_6),B),C),
inference(subst,[],[refute_0_26:[bind(A,$fot(mult(X_6,X_6)))]]) ).
cnf(refute_0_222,plain,
( mult(mult(X_6,B),C) != mult(mult(mult(X_6,X_6),C),mult(B,C))
| mult(mult(mult(X_6,X_6),C),mult(B,C)) != mult(mult(mult(X_6,X_6),B),C)
| mult(mult(X_6,B),C) = mult(mult(mult(X_6,X_6),B),C) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(X_6,B),C),mult(mult(mult(X_6,X_6),B),C)) ),[0],$fot(mult(mult(mult(X_6,X_6),C),mult(B,C)))]]) ).
cnf(refute_0_223,plain,
( mult(mult(X_6,B),C) != mult(mult(mult(X_6,X_6),C),mult(B,C))
| mult(mult(X_6,B),C) = mult(mult(mult(X_6,X_6),B),C) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_6,X_6),C),mult(B,C)),mult(mult(mult(X_6,X_6),B),C)) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
( mult(mult(X_6,mult(B,B)),C) != mult(mult(mult(X_6,X_6),C),mult(B,C))
| mult(mult(X_6,B),C) = mult(mult(mult(X_6,X_6),B),C) ),
inference(resolve,[$cnf( $equal(mult(mult(X_6,B),C),mult(mult(mult(X_6,X_6),C),mult(B,C))) )],[refute_0_220,refute_0_223]) ).
cnf(refute_0_225,plain,
mult(mult(X_6,B),C) = mult(mult(mult(X_6,X_6),B),C),
inference(resolve,[$cnf( $equal(mult(mult(X_6,mult(B,B)),C),mult(mult(mult(X_6,X_6),C),mult(B,C))) )],[refute_0_217,refute_0_224]) ).
cnf(refute_0_226,plain,
( mult(mult(X_6,B),C) != mult(mult(mult(X_6,X_6),B),C)
| mult(mult(mult(X_6,X_6),B),C) = mult(mult(X_6,B),C) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(mult(X_6,B),C))),bind(Y,$fot(mult(mult(mult(X_6,X_6),B),C)))]]) ).
cnf(refute_0_227,plain,
mult(mult(mult(X_6,X_6),B),C) = mult(mult(X_6,B),C),
inference(resolve,[$cnf( $equal(mult(mult(X_6,B),C),mult(mult(mult(X_6,X_6),B),C)) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
mult(mult(mult(A,A),C),X_7) = mult(mult(A,C),X_7),
inference(subst,[],[refute_0_227:[bind(B,$fot(C)),bind(C,$fot(X_7)),bind(X_6,$fot(A))]]) ).
cnf(refute_0_229,plain,
( mult(mult(A,C),mult(X_7,X_7)) != mult(mult(mult(A,A),C),X_7)
| mult(mult(mult(A,A),C),X_7) != mult(mult(A,C),X_7)
| mult(mult(A,C),mult(X_7,X_7)) = mult(mult(A,C),X_7) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(A,C),mult(X_7,X_7)),mult(mult(A,C),X_7)) ),[0],$fot(mult(mult(mult(A,A),C),X_7))]]) ).
cnf(refute_0_230,plain,
( mult(mult(A,C),mult(X_7,X_7)) != mult(mult(mult(A,A),C),X_7)
| mult(mult(A,C),mult(X_7,X_7)) = mult(mult(A,C),X_7) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,A),C),X_7),mult(mult(A,C),X_7)) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
mult(mult(A,C),mult(X_7,X_7)) = mult(mult(A,C),X_7),
inference(resolve,[$cnf( $equal(mult(mult(A,C),mult(X_7,X_7)),mult(mult(mult(A,A),C),X_7)) )],[refute_0_210,refute_0_230]) ).
cnf(refute_0_232,plain,
mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C))) = mult(mult(A,mult(B,C)),mult(A,C)),
inference(subst,[],[refute_0_231:[bind(C,$fot(mult(B,C))),bind(X_7,$fot(mult(A,C)))]]) ).
cnf(refute_0_233,plain,
( mult(mult(A,mult(B,C)),mult(A,C)) != mult(A,mult(mult(B,C),C))
| mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C))) != mult(mult(A,mult(B,C)),mult(A,C))
| mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C))) = mult(A,mult(mult(B,C),C)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C))))),bind(Y,$fot(mult(mult(A,mult(B,C)),mult(A,C)))),bind(Z,$fot(mult(A,mult(mult(B,C),C))))]]) ).
cnf(refute_0_234,plain,
( mult(mult(A,mult(B,C)),mult(A,C)) != mult(A,mult(mult(B,C),C))
| mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C))) = mult(A,mult(mult(B,C),C)) ),
inference(resolve,[$cnf( $equal(mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C))),mult(mult(A,mult(B,C)),mult(A,C))) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C))) = mult(A,mult(mult(B,C),C)),
inference(resolve,[$cnf( $equal(mult(mult(A,mult(B,C)),mult(A,C)),mult(A,mult(mult(B,C),C))) )],[refute_0_206,refute_0_234]) ).
cnf(refute_0_236,plain,
( mult(mult(A,mult(B,A)),mult(mult(A,C),C)) != mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C)))
| mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C))) != mult(A,mult(mult(B,C),C))
| mult(mult(A,mult(B,A)),mult(mult(A,C),C)) = mult(A,mult(mult(B,C),C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(A,mult(B,A)),mult(mult(A,C),C)),mult(A,mult(mult(B,C),C))) ),[0],$fot(mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C))))]]) ).
cnf(refute_0_237,plain,
( mult(mult(A,mult(B,A)),mult(mult(A,C),C)) != mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C)))
| mult(mult(A,mult(B,A)),mult(mult(A,C),C)) = mult(A,mult(mult(B,C),C)) ),
inference(resolve,[$cnf( $equal(mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C))),mult(A,mult(mult(B,C),C))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
( mult(mult(mult(A,B),A),mult(mult(A,C),C)) != mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C)))
| mult(mult(A,mult(B,A)),mult(mult(A,C),C)) = mult(A,mult(mult(B,C),C)) ),
inference(resolve,[$cnf( $equal(mult(mult(A,mult(B,A)),mult(mult(A,C),C)),mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C)))) )],[refute_0_205,refute_0_237]) ).
cnf(refute_0_239,plain,
mult(mult(A,mult(B,A)),mult(mult(A,C),C)) = mult(A,mult(mult(B,C),C)),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),A),mult(mult(A,C),C)),mult(mult(A,mult(B,C)),mult(mult(A,C),mult(A,C)))) )],[refute_0_196,refute_0_238]) ).
cnf(refute_0_240,plain,
mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4))) = mult(X_4,mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4))),
inference(subst,[],[refute_0_239:[bind(A,$fot(X_4)),bind(B,$fot(X_3)),bind(C,$fot(mult(X_3,X_4)))]]) ).
cnf(refute_0_241,plain,
( mult(X_4,mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4))) != mult(X_4,mult(X_3,mult(mult(X_3,X_4),X_4)))
| mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4))) != mult(X_4,mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4)))
| mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4))) = mult(X_4,mult(X_3,mult(mult(X_3,X_4),X_4))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4))))),bind(Y,$fot(mult(X_4,mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4))))),bind(Z,$fot(mult(X_4,mult(X_3,mult(mult(X_3,X_4),X_4)))))]]) ).
cnf(refute_0_242,plain,
( mult(X_4,mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4))) != mult(X_4,mult(X_3,mult(mult(X_3,X_4),X_4)))
| mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4))) = mult(X_4,mult(X_3,mult(mult(X_3,X_4),X_4))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4))),mult(X_4,mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4)))) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4))) = mult(X_4,mult(X_3,mult(mult(X_3,X_4),X_4))),
inference(resolve,[$cnf( $equal(mult(X_4,mult(mult(X_3,mult(X_3,X_4)),mult(X_3,X_4))),mult(X_4,mult(X_3,mult(mult(X_3,X_4),X_4)))) )],[refute_0_170,refute_0_242]) ).
cnf(refute_0_244,plain,
( mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4))) != mult(X_4,mult(X_3,mult(mult(X_3,X_4),X_4)))
| mult(mult(mult(X_4,mult(X_4,X_3)),X_3),X_4) != mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4)))
| mult(mult(mult(X_4,mult(X_4,X_3)),X_3),X_4) = mult(X_4,mult(X_3,mult(mult(X_3,X_4),X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_4,mult(X_4,X_3)),X_3),X_4),mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4)))) ),[1],$fot(mult(X_4,mult(X_3,mult(mult(X_3,X_4),X_4))))]]) ).
cnf(refute_0_245,plain,
( mult(mult(mult(X_4,mult(X_4,X_3)),X_3),X_4) != mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4)))
| mult(mult(mult(X_4,mult(X_4,X_3)),X_3),X_4) = mult(X_4,mult(X_3,mult(mult(X_3,X_4),X_4))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4))),mult(X_4,mult(X_3,mult(mult(X_3,X_4),X_4)))) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
( mult(mult(X_4,mult(X_3,mult(X_3,X_4))),mult(X_4,mult(X_3,X_4))) != mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4)))
| mult(mult(mult(X_4,mult(X_4,X_3)),X_3),X_4) = mult(X_4,mult(X_3,mult(mult(X_3,X_4),X_4))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_4,mult(X_4,X_3)),X_3),X_4),mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4)))) )],[refute_0_152,refute_0_245]) ).
cnf(refute_0_247,plain,
mult(mult(mult(X_4,mult(X_4,X_3)),X_3),X_4) = mult(X_4,mult(X_3,mult(mult(X_3,X_4),X_4))),
inference(resolve,[$cnf( $equal(mult(mult(X_4,mult(X_3,mult(X_3,X_4))),mult(X_4,mult(X_3,X_4))),mult(mult(X_4,mult(X_3,X_4)),mult(mult(X_4,mult(X_3,X_4)),mult(X_3,X_4)))) )],[refute_0_38,refute_0_246]) ).
cnf(refute_0_248,plain,
mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),
inference(subst,[],[refute_0_247:[bind(X_3,$fot(mult(mult(A,C),mult(B,D)))),bind(X_4,$fot(mult(mult(A,B),mult(C,D))))]]) ).
cnf(refute_0_249,plain,
( mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))) != mult(mult(A,C),mult(B,D))
| mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))
| mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) ),
introduced(tautology,[equality,[$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_250,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( $equal(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,C),mult(B,D))) )],[c03,refute_0_249]) ).
cnf(refute_0_251,plain,
mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))) )],[refute_0_248,refute_0_250]) ).
cnf(refute_0_252,plain,
mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),
inference(subst,[],[refute_0_112:[bind(A,$fot(mult(A,B))),bind(B,$fot(mult(C,D))),bind(X_6,$fot(mult(mult(A,C),mult(B,D))))]]) ).
cnf(refute_0_253,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_254,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( $equal(mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D)))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))))),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),
inference(subst,[],[refute_0_247:[bind(X_3,$fot(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))))),bind(X_4,$fot(mult(mult(A,B),mult(C,D))))]]) ).
cnf(refute_0_256,plain,
( mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))) != mult(mult(A,C),mult(B,D))
| mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))))),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,B),mult(C,D))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))
| mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))))),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,B),mult(C,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))) ),[0,0,0,1],$fot(mult(mult(A,C),mult(B,D)))]]) ).
cnf(refute_0_257,plain,
( mult(mult(mult(mult(mult(A,B),mult(C,D)),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(mult(A,B),mult(C,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(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),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(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(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,C),mult(B,D))) )],[c03,refute_0_256]) ).
cnf(refute_0_258,plain,
mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))))),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,B),mult(C,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))) )],[refute_0_255,refute_0_257]) ).
cnf(refute_0_259,plain,
mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D)))),
inference(subst,[],[refute_0_198:[bind(B,$fot(mult(mult(A,C),mult(B,D)))),bind(X_6,$fot(mult(mult(A,B),mult(C,D))))]]) ).
cnf(refute_0_260,plain,
mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),
inference(subst,[],[refute_0_112:[bind(A,$fot(mult(A,B))),bind(B,$fot(mult(C,D))),bind(X_6,$fot(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))))]]) ).
cnf(refute_0_261,plain,
( mult(mult(mult(mult(A,B),mult(C,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(A,B),mult(C,D))))
| mult(mult(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(A,B),mult(C,D))) != mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D)))
| mult(mult(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(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_100:[bind(X,$fot(mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,B),mult(C,D))))),bind(Y,$fot(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))))),bind(Z,$fot(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))))))]]) ).
cnf(refute_0_262,plain,
( mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))))
| mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D)))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,B),mult(C,D))),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D)))) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D)))),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))))) )],[refute_0_259,refute_0_262]) ).
cnf(refute_0_264,plain,
( mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,B),mult(C,D))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))))
| mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,B),mult(C,D))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))
| mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D)))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,B),mult(C,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))) ),[0],$fot(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D)))))]]) ).
cnf(refute_0_265,plain,
( mult(mult(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(A,B),mult(C,D))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),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,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,B),mult(C,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
mult(mult(mult(A,C),mult(A,C)),mult(B,D)) = mult(mult(A,C),mult(B,D)),
inference(subst,[],[refute_0_112:[bind(A,$fot(B)),bind(B,$fot(D)),bind(X_6,$fot(mult(A,C)))]]) ).
cnf(refute_0_267,plain,
mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))) = mult(mult(mult(A,C),mult(A,C)),mult(B,D)),
inference(subst,[],[refute_0_26:[bind(A,$fot(mult(A,C))),bind(B,$fot(mult(A,C))),bind(C,$fot(mult(B,D)))]]) ).
cnf(refute_0_268,plain,
( mult(mult(mult(A,C),mult(A,C)),mult(B,D)) != mult(mult(A,C),mult(B,D))
| mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))) != mult(mult(mult(A,C),mult(A,C)),mult(B,D))
| mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))) = mult(mult(A,C),mult(B,D)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))))),bind(Y,$fot(mult(mult(mult(A,C),mult(A,C)),mult(B,D)))),bind(Z,$fot(mult(mult(A,C),mult(B,D))))]]) ).
cnf(refute_0_269,plain,
( mult(mult(mult(A,C),mult(A,C)),mult(B,D)) != mult(mult(A,C),mult(B,D))
| mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))) = mult(mult(A,C),mult(B,D)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(A,C),mult(A,C)),mult(B,D))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))) = mult(mult(A,C),mult(B,D)),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,C),mult(A,C)),mult(B,D)),mult(mult(A,C),mult(B,D))) )],[refute_0_266,refute_0_269]) ).
cnf(refute_0_271,plain,
( mult(mult(X_19,X_20),mult(mult(X_20,C),C)) != mult(mult(X_19,mult(X_20,C)),mult(X_20,C))
| mult(mult(X_19,mult(X_20,C)),mult(X_20,C)) = mult(mult(X_19,X_20),mult(mult(X_20,C),C)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(mult(X_19,X_20),mult(mult(X_20,C),C)))),bind(Y,$fot(mult(mult(X_19,mult(X_20,C)),mult(X_20,C))))]]) ).
cnf(refute_0_272,plain,
mult(mult(X_19,mult(X_20,C)),mult(X_20,C)) = mult(mult(X_19,X_20),mult(mult(X_20,C),C)),
inference(resolve,[$cnf( $equal(mult(mult(X_19,X_20),mult(mult(X_20,C),C)),mult(mult(X_19,mult(X_20,C)),mult(X_20,C))) )],[refute_0_190,refute_0_271]) ).
cnf(refute_0_273,plain,
mult(mult(mult(A,C),mult(B,D)),mult(B,D)) = mult(mult(mult(A,C),B),mult(mult(B,D),D)),
inference(subst,[],[refute_0_272:[bind(C,$fot(D)),bind(X_19,$fot(mult(A,C))),bind(X_20,$fot(B))]]) ).
cnf(refute_0_274,plain,
mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),mult(B,D)),mult(B,D))) = mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),mult(B,D)),mult(B,D))),
introduced(tautology,[refl,[$fot(mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),mult(B,D)),mult(B,D))))]]) ).
cnf(refute_0_275,plain,
( mult(mult(mult(A,C),mult(B,D)),mult(B,D)) != mult(mult(mult(A,C),B),mult(mult(B,D),D))
| mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),mult(B,D)),mult(B,D))) != mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),mult(B,D)),mult(B,D)))
| mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),mult(B,D)),mult(B,D))) = mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),B),mult(mult(B,D),D))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),mult(B,D)),mult(B,D))),mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),mult(B,D)),mult(B,D)))) ),[1,1],$fot(mult(mult(mult(A,C),B),mult(mult(B,D),D)))]]) ).
cnf(refute_0_276,plain,
( mult(mult(mult(A,C),mult(B,D)),mult(B,D)) != mult(mult(mult(A,C),B),mult(mult(B,D),D))
| mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),mult(B,D)),mult(B,D))) = mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),B),mult(mult(B,D),D))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),mult(B,D)),mult(B,D))),mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),mult(B,D)),mult(B,D)))) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),mult(B,D)),mult(B,D))) = mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),B),mult(mult(B,D),D))),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,C),mult(B,D)),mult(B,D)),mult(mult(mult(A,C),B),mult(mult(B,D),D))) )],[refute_0_273,refute_0_276]) ).
cnf(refute_0_278,plain,
mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,C),mult(B,D))) = mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),mult(B,D)),mult(B,D))),
inference(subst,[],[refute_0_272:[bind(C,$fot(mult(B,D))),bind(X_19,$fot(mult(mult(A,B),mult(C,D)))),bind(X_20,$fot(mult(A,C)))]]) ).
cnf(refute_0_279,plain,
( mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),mult(B,D)),mult(B,D))) != mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),B),mult(mult(B,D),D)))
| 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(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),mult(B,D)),mult(B,D)))
| 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(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),B),mult(mult(B,D),D))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,C),mult(B,D))))),bind(Y,$fot(mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),mult(B,D)),mult(B,D))))),bind(Z,$fot(mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),B),mult(mult(B,D),D)))))]]) ).
cnf(refute_0_280,plain,
( mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),mult(B,D)),mult(B,D))) != mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),B),mult(mult(B,D),D)))
| mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,C),mult(B,D))) = mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),B),mult(mult(B,D),D))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),mult(B,D)),mult(B,D)))) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,C),mult(B,D))) = mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),B),mult(mult(B,D),D))),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),mult(B,D)),mult(B,D))),mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),B),mult(mult(B,D),D)))) )],[refute_0_277,refute_0_280]) ).
cnf(refute_0_282,plain,
( mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,C),mult(B,D))) != mult(mult(A,B),mult(C,D))
| mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,C),mult(B,D))) != mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),B),mult(mult(B,D),D)))
| mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),B),mult(mult(B,D),D))) = mult(mult(A,B),mult(C,D)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) ),[0],$fot(mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),B),mult(mult(B,D),D))))]]) ).
cnf(refute_0_283,plain,
( 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))
| mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),B),mult(mult(B,D),D))) = mult(mult(A,B),mult(C,D)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),B),mult(mult(B,D),D)))) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
mult(mult(mult(mult(A,B),mult(C,D)),mult(A,C)),mult(mult(mult(A,C),B),mult(mult(B,D),D))) = mult(mult(A,B),mult(C,D)),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) )],[c04,refute_0_283]) ).
cnf(refute_0_285,plain,
mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),C),mult(mult(C,D),D))) = mult(mult(A,C),mult(B,D)),
inference(subst,[],[refute_0_284:[bind(B,$fot(C)),bind(C,$fot(B))]]) ).
cnf(refute_0_286,plain,
mult(mult(mult(A,B),mult(C,D)),mult(C,D)) = mult(mult(mult(A,B),C),mult(mult(C,D),D)),
inference(subst,[],[refute_0_272:[bind(C,$fot(D)),bind(X_19,$fot(mult(A,B))),bind(X_20,$fot(C))]]) ).
cnf(refute_0_287,plain,
mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))) = mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))),
introduced(tautology,[refl,[$fot(mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))))]]) ).
cnf(refute_0_288,plain,
( mult(mult(mult(A,B),mult(C,D)),mult(C,D)) != mult(mult(mult(A,B),C),mult(mult(C,D),D))
| mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))) != mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))
| mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))) = mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),C),mult(mult(C,D),D))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))) ),[1,1],$fot(mult(mult(mult(A,B),C),mult(mult(C,D),D)))]]) ).
cnf(refute_0_289,plain,
( mult(mult(mult(A,B),mult(C,D)),mult(C,D)) != mult(mult(mult(A,B),C),mult(mult(C,D),D))
| mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))) = mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),C),mult(mult(C,D),D))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))) = mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),C),mult(mult(C,D),D))),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),mult(C,D)),mult(C,D)),mult(mult(mult(A,B),C),mult(mult(C,D),D))) )],[refute_0_286,refute_0_289]) ).
cnf(refute_0_291,plain,
( mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),C),mult(mult(C,D),D))) != mult(mult(A,C),mult(B,D))
| mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))) != mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),C),mult(mult(C,D),D)))
| mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))) = mult(mult(A,C),mult(B,D)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))))),bind(Y,$fot(mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),C),mult(mult(C,D),D))))),bind(Z,$fot(mult(mult(A,C),mult(B,D))))]]) ).
cnf(refute_0_292,plain,
( mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),C),mult(mult(C,D),D))) != mult(mult(A,C),mult(B,D))
| mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))) = mult(mult(A,C),mult(B,D)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),C),mult(mult(C,D),D)))) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))) = mult(mult(A,C),mult(B,D)),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),C),mult(mult(C,D),D))),mult(mult(A,C),mult(B,D))) )],[refute_0_285,refute_0_292]) ).
cnf(refute_0_294,plain,
mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))),
introduced(tautology,[refl,[$fot(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))))]]) ).
cnf(refute_0_295,plain,
( mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))))
| mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))) != mult(mult(A,C),mult(B,D))
| mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))))) ),[1,1],$fot(mult(mult(A,C),mult(B,D)))]]) ).
cnf(refute_0_296,plain,
( mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))) != mult(mult(A,C),mult(B,D))
| mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))),mult(mult(A,C),mult(B,D))) )],[refute_0_293,refute_0_296]) ).
cnf(refute_0_298,plain,
mult(mult(mult(mult(X_84,X_82),B),X_84),mult(mult(X_84,X_82),X_82)) = mult(mult(mult(mult(X_84,X_82),B),mult(X_84,X_82)),mult(X_84,X_82)),
inference(subst,[],[refute_0_190:[bind(C,$fot(X_82)),bind(X_19,$fot(mult(mult(X_84,X_82),B))),bind(X_20,$fot(X_84))]]) ).
cnf(refute_0_299,plain,
mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))) = mult(mult(mult(X_84,X_82),B),mult(X_84,X_82)),
inference(subst,[],[refute_0_119:[bind(X_6,$fot(mult(X_84,X_82)))]]) ).
cnf(refute_0_300,plain,
( mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))) != mult(mult(mult(X_84,X_82),B),mult(X_84,X_82))
| mult(mult(mult(X_84,X_82),B),mult(X_84,X_82)) = mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))))),bind(Y,$fot(mult(mult(mult(X_84,X_82),B),mult(X_84,X_82))))]]) ).
cnf(refute_0_301,plain,
mult(mult(mult(X_84,X_82),B),mult(X_84,X_82)) = mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),
inference(resolve,[$cnf( $equal(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(mult(mult(X_84,X_82),B),mult(X_84,X_82))) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
( mult(mult(mult(X_84,X_82),B),mult(X_84,X_82)) != mult(mult(X_84,X_82),mult(B,mult(X_84,X_82)))
| mult(mult(mult(mult(X_84,X_82),B),X_84),mult(mult(X_84,X_82),X_82)) != mult(mult(mult(mult(X_84,X_82),B),mult(X_84,X_82)),mult(X_84,X_82))
| mult(mult(mult(mult(X_84,X_82),B),X_84),mult(mult(X_84,X_82),X_82)) = mult(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(X_84,X_82)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(mult(X_84,X_82),B),X_84),mult(mult(X_84,X_82),X_82)),mult(mult(mult(mult(X_84,X_82),B),mult(X_84,X_82)),mult(X_84,X_82))) ),[1,0],$fot(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))))]]) ).
cnf(refute_0_303,plain,
( mult(mult(mult(mult(X_84,X_82),B),X_84),mult(mult(X_84,X_82),X_82)) != mult(mult(mult(mult(X_84,X_82),B),mult(X_84,X_82)),mult(X_84,X_82))
| mult(mult(mult(mult(X_84,X_82),B),X_84),mult(mult(X_84,X_82),X_82)) = mult(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(X_84,X_82)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_84,X_82),B),mult(X_84,X_82)),mult(mult(X_84,X_82),mult(B,mult(X_84,X_82)))) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
mult(mult(mult(mult(X_84,X_82),B),X_84),mult(mult(X_84,X_82),X_82)) = mult(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(X_84,X_82)),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(X_84,X_82),B),X_84),mult(mult(X_84,X_82),X_82)),mult(mult(mult(mult(X_84,X_82),B),mult(X_84,X_82)),mult(X_84,X_82))) )],[refute_0_298,refute_0_303]) ).
cnf(refute_0_305,plain,
mult(mult(mult(mult(A,X_36),X_35),X_37),mult(mult(A,X_36),X_36)) = mult(mult(mult(A,X_36),mult(X_35,X_36)),mult(X_37,mult(mult(A,X_36),X_36))),
inference(subst,[],[refute_0_174:[bind(A,$fot(mult(A,X_36))),bind(B,$fot(X_35)),bind(C,$fot(X_36)),bind(X_4,$fot(X_37))]]) ).
cnf(refute_0_306,plain,
mult(mult(A,X_35),X_36) = mult(mult(A,X_36),mult(X_35,X_36)),
inference(subst,[],[c02:[bind(B,$fot(X_35)),bind(C,$fot(X_36))]]) ).
cnf(refute_0_307,plain,
( mult(mult(A,X_35),X_36) != mult(mult(A,X_36),mult(X_35,X_36))
| mult(mult(A,X_36),mult(X_35,X_36)) = mult(mult(A,X_35),X_36) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(mult(A,X_35),X_36))),bind(Y,$fot(mult(mult(A,X_36),mult(X_35,X_36))))]]) ).
cnf(refute_0_308,plain,
mult(mult(A,X_36),mult(X_35,X_36)) = mult(mult(A,X_35),X_36),
inference(resolve,[$cnf( $equal(mult(mult(A,X_35),X_36),mult(mult(A,X_36),mult(X_35,X_36))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
( mult(mult(A,X_36),mult(X_35,X_36)) != mult(mult(A,X_35),X_36)
| mult(mult(mult(mult(A,X_36),X_35),X_37),mult(mult(A,X_36),X_36)) != mult(mult(mult(A,X_36),mult(X_35,X_36)),mult(X_37,mult(mult(A,X_36),X_36)))
| mult(mult(mult(mult(A,X_36),X_35),X_37),mult(mult(A,X_36),X_36)) = mult(mult(mult(A,X_35),X_36),mult(X_37,mult(mult(A,X_36),X_36))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(mult(A,X_36),X_35),X_37),mult(mult(A,X_36),X_36)),mult(mult(mult(A,X_36),mult(X_35,X_36)),mult(X_37,mult(mult(A,X_36),X_36)))) ),[1,0],$fot(mult(mult(A,X_35),X_36))]]) ).
cnf(refute_0_310,plain,
( mult(mult(mult(mult(A,X_36),X_35),X_37),mult(mult(A,X_36),X_36)) != mult(mult(mult(A,X_36),mult(X_35,X_36)),mult(X_37,mult(mult(A,X_36),X_36)))
| mult(mult(mult(mult(A,X_36),X_35),X_37),mult(mult(A,X_36),X_36)) = mult(mult(mult(A,X_35),X_36),mult(X_37,mult(mult(A,X_36),X_36))) ),
inference(resolve,[$cnf( $equal(mult(mult(A,X_36),mult(X_35,X_36)),mult(mult(A,X_35),X_36)) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
mult(mult(mult(mult(A,X_36),X_35),X_37),mult(mult(A,X_36),X_36)) = mult(mult(mult(A,X_35),X_36),mult(X_37,mult(mult(A,X_36),X_36))),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(A,X_36),X_35),X_37),mult(mult(A,X_36),X_36)),mult(mult(mult(A,X_36),mult(X_35,X_36)),mult(X_37,mult(mult(A,X_36),X_36)))) )],[refute_0_305,refute_0_310]) ).
cnf(refute_0_312,plain,
mult(mult(mult(mult(X_84,X_82),B),X_84),mult(mult(X_84,X_82),X_82)) = mult(mult(mult(X_84,B),X_82),mult(X_84,mult(mult(X_84,X_82),X_82))),
inference(subst,[],[refute_0_311:[bind(A,$fot(X_84)),bind(X_35,$fot(B)),bind(X_36,$fot(X_82)),bind(X_37,$fot(X_84))]]) ).
cnf(refute_0_313,plain,
( mult(mult(mult(mult(X_84,X_82),B),X_84),mult(mult(X_84,X_82),X_82)) != mult(mult(mult(X_84,B),X_82),mult(X_84,mult(mult(X_84,X_82),X_82)))
| mult(mult(mult(mult(X_84,X_82),B),X_84),mult(mult(X_84,X_82),X_82)) != mult(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(X_84,X_82))
| mult(mult(mult(X_84,B),X_82),mult(X_84,mult(mult(X_84,X_82),X_82))) = mult(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(X_84,X_82)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(mult(X_84,X_82),B),X_84),mult(mult(X_84,X_82),X_82)),mult(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(X_84,X_82))) ),[0],$fot(mult(mult(mult(X_84,B),X_82),mult(X_84,mult(mult(X_84,X_82),X_82))))]]) ).
cnf(refute_0_314,plain,
( mult(mult(mult(mult(X_84,X_82),B),X_84),mult(mult(X_84,X_82),X_82)) != mult(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(X_84,X_82))
| mult(mult(mult(X_84,B),X_82),mult(X_84,mult(mult(X_84,X_82),X_82))) = mult(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(X_84,X_82)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(X_84,X_82),B),X_84),mult(mult(X_84,X_82),X_82)),mult(mult(mult(X_84,B),X_82),mult(X_84,mult(mult(X_84,X_82),X_82)))) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
mult(mult(B,mult(X_84,X_82)),mult(X_84,X_82)) = mult(mult(B,X_84),mult(mult(X_84,X_82),X_82)),
inference(subst,[],[refute_0_272:[bind(C,$fot(X_82)),bind(X_19,$fot(B)),bind(X_20,$fot(X_84))]]) ).
cnf(refute_0_316,plain,
mult(mult(X_84,X_82),mult(mult(B,mult(X_84,X_82)),mult(X_84,X_82))) = mult(mult(X_84,X_82),mult(mult(B,mult(X_84,X_82)),mult(X_84,X_82))),
introduced(tautology,[refl,[$fot(mult(mult(X_84,X_82),mult(mult(B,mult(X_84,X_82)),mult(X_84,X_82))))]]) ).
cnf(refute_0_317,plain,
( mult(mult(B,mult(X_84,X_82)),mult(X_84,X_82)) != mult(mult(B,X_84),mult(mult(X_84,X_82),X_82))
| mult(mult(X_84,X_82),mult(mult(B,mult(X_84,X_82)),mult(X_84,X_82))) != mult(mult(X_84,X_82),mult(mult(B,mult(X_84,X_82)),mult(X_84,X_82)))
| mult(mult(X_84,X_82),mult(mult(B,mult(X_84,X_82)),mult(X_84,X_82))) = mult(mult(X_84,X_82),mult(mult(B,X_84),mult(mult(X_84,X_82),X_82))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_84,X_82),mult(mult(B,mult(X_84,X_82)),mult(X_84,X_82))),mult(mult(X_84,X_82),mult(mult(B,mult(X_84,X_82)),mult(X_84,X_82)))) ),[1,1],$fot(mult(mult(B,X_84),mult(mult(X_84,X_82),X_82)))]]) ).
cnf(refute_0_318,plain,
( mult(mult(B,mult(X_84,X_82)),mult(X_84,X_82)) != mult(mult(B,X_84),mult(mult(X_84,X_82),X_82))
| mult(mult(X_84,X_82),mult(mult(B,mult(X_84,X_82)),mult(X_84,X_82))) = mult(mult(X_84,X_82),mult(mult(B,X_84),mult(mult(X_84,X_82),X_82))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_84,X_82),mult(mult(B,mult(X_84,X_82)),mult(X_84,X_82))),mult(mult(X_84,X_82),mult(mult(B,mult(X_84,X_82)),mult(X_84,X_82)))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
mult(mult(X_84,X_82),mult(mult(B,mult(X_84,X_82)),mult(X_84,X_82))) = mult(mult(X_84,X_82),mult(mult(B,X_84),mult(mult(X_84,X_82),X_82))),
inference(resolve,[$cnf( $equal(mult(mult(B,mult(X_84,X_82)),mult(X_84,X_82)),mult(mult(B,X_84),mult(mult(X_84,X_82),X_82))) )],[refute_0_315,refute_0_318]) ).
cnf(refute_0_320,plain,
mult(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(X_84,X_82)) = mult(mult(X_84,X_82),mult(mult(B,mult(X_84,X_82)),mult(X_84,X_82))),
inference(subst,[],[refute_0_198:[bind(B,$fot(mult(B,mult(X_84,X_82)))),bind(X_6,$fot(mult(X_84,X_82)))]]) ).
cnf(refute_0_321,plain,
( mult(mult(X_84,X_82),mult(mult(B,mult(X_84,X_82)),mult(X_84,X_82))) != mult(mult(X_84,X_82),mult(mult(B,X_84),mult(mult(X_84,X_82),X_82)))
| mult(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(X_84,X_82)) != mult(mult(X_84,X_82),mult(mult(B,mult(X_84,X_82)),mult(X_84,X_82)))
| mult(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(X_84,X_82)) = mult(mult(X_84,X_82),mult(mult(B,X_84),mult(mult(X_84,X_82),X_82))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(mult(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(X_84,X_82)))),bind(Y,$fot(mult(mult(X_84,X_82),mult(mult(B,mult(X_84,X_82)),mult(X_84,X_82))))),bind(Z,$fot(mult(mult(X_84,X_82),mult(mult(B,X_84),mult(mult(X_84,X_82),X_82)))))]]) ).
cnf(refute_0_322,plain,
( mult(mult(X_84,X_82),mult(mult(B,mult(X_84,X_82)),mult(X_84,X_82))) != mult(mult(X_84,X_82),mult(mult(B,X_84),mult(mult(X_84,X_82),X_82)))
| mult(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(X_84,X_82)) = mult(mult(X_84,X_82),mult(mult(B,X_84),mult(mult(X_84,X_82),X_82))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(X_84,X_82)),mult(mult(X_84,X_82),mult(mult(B,mult(X_84,X_82)),mult(X_84,X_82)))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
mult(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(X_84,X_82)) = mult(mult(X_84,X_82),mult(mult(B,X_84),mult(mult(X_84,X_82),X_82))),
inference(resolve,[$cnf( $equal(mult(mult(X_84,X_82),mult(mult(B,mult(X_84,X_82)),mult(X_84,X_82))),mult(mult(X_84,X_82),mult(mult(B,X_84),mult(mult(X_84,X_82),X_82)))) )],[refute_0_319,refute_0_322]) ).
cnf(refute_0_324,plain,
( mult(mult(mult(X_84,B),X_82),mult(X_84,mult(mult(X_84,X_82),X_82))) != mult(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(X_84,X_82))
| mult(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(X_84,X_82)) != mult(mult(X_84,X_82),mult(mult(B,X_84),mult(mult(X_84,X_82),X_82)))
| mult(mult(mult(X_84,B),X_82),mult(X_84,mult(mult(X_84,X_82),X_82))) = mult(mult(X_84,X_82),mult(mult(B,X_84),mult(mult(X_84,X_82),X_82))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(mult(X_84,B),X_82),mult(X_84,mult(mult(X_84,X_82),X_82))),mult(mult(X_84,X_82),mult(mult(B,X_84),mult(mult(X_84,X_82),X_82)))) ),[0],$fot(mult(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(X_84,X_82)))]]) ).
cnf(refute_0_325,plain,
( mult(mult(mult(X_84,B),X_82),mult(X_84,mult(mult(X_84,X_82),X_82))) != mult(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(X_84,X_82))
| mult(mult(mult(X_84,B),X_82),mult(X_84,mult(mult(X_84,X_82),X_82))) = mult(mult(X_84,X_82),mult(mult(B,X_84),mult(mult(X_84,X_82),X_82))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(X_84,X_82)),mult(mult(X_84,X_82),mult(mult(B,X_84),mult(mult(X_84,X_82),X_82)))) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
( mult(mult(mult(mult(X_84,X_82),B),X_84),mult(mult(X_84,X_82),X_82)) != mult(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(X_84,X_82))
| mult(mult(mult(X_84,B),X_82),mult(X_84,mult(mult(X_84,X_82),X_82))) = mult(mult(X_84,X_82),mult(mult(B,X_84),mult(mult(X_84,X_82),X_82))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_84,B),X_82),mult(X_84,mult(mult(X_84,X_82),X_82))),mult(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(X_84,X_82))) )],[refute_0_314,refute_0_325]) ).
cnf(refute_0_327,plain,
mult(mult(mult(X_84,B),X_82),mult(X_84,mult(mult(X_84,X_82),X_82))) = mult(mult(X_84,X_82),mult(mult(B,X_84),mult(mult(X_84,X_82),X_82))),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(X_84,X_82),B),X_84),mult(mult(X_84,X_82),X_82)),mult(mult(mult(X_84,X_82),mult(B,mult(X_84,X_82))),mult(X_84,X_82))) )],[refute_0_304,refute_0_326]) ).
cnf(refute_0_328,plain,
mult(mult(mult(mult(A,B),mult(mult(A,C),mult(B,D))),mult(C,D)),mult(mult(A,B),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))),
inference(subst,[],[refute_0_327:[bind(B,$fot(mult(mult(A,C),mult(B,D)))),bind(X_82,$fot(mult(C,D))),bind(X_84,$fot(mult(A,B)))]]) ).
cnf(refute_0_329,plain,
mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))) = mult(mult(mult(mult(A,B),mult(mult(A,C),mult(B,D))),mult(C,D)),mult(mult(A,B),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))),
inference(subst,[],[refute_0_311:[bind(A,$fot(mult(A,B))),bind(X_35,$fot(mult(mult(A,C),mult(B,D)))),bind(X_36,$fot(mult(C,D))),bind(X_37,$fot(mult(A,B)))]]) ).
cnf(refute_0_330,plain,
( mult(mult(mult(mult(A,B),mult(mult(A,C),mult(B,D))),mult(C,D)),mult(mult(A,B),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))))
| mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))) != mult(mult(mult(mult(A,B),mult(mult(A,C),mult(B,D))),mult(C,D)),mult(mult(A,B),mult(mult(mult(A,B),mult(C,D)),mult(C,D))))
| mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))))),bind(Y,$fot(mult(mult(mult(mult(A,B),mult(mult(A,C),mult(B,D))),mult(C,D)),mult(mult(A,B),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))))),bind(Z,$fot(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))))))]]) ).
cnf(refute_0_331,plain,
( mult(mult(mult(mult(A,B),mult(mult(A,C),mult(B,D))),mult(C,D)),mult(mult(A,B),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))))
| mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))),mult(mult(mult(mult(A,B),mult(mult(A,C),mult(B,D))),mult(C,D)),mult(mult(A,B),mult(mult(mult(A,B),mult(C,D)),mult(C,D))))) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(A,B),mult(mult(A,C),mult(B,D))),mult(C,D)),mult(mult(A,B),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))))) )],[refute_0_328,refute_0_331]) ).
cnf(refute_0_333,plain,
mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))),
inference(subst,[],[refute_0_272:[bind(C,$fot(mult(C,D))),bind(X_19,$fot(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))))),bind(X_20,$fot(mult(A,B)))]]) ).
cnf(refute_0_334,plain,
( mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))))
| mult(mult(mult(mult(mult(A,B),mult(C,D)),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(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))
| mult(mult(mult(mult(mult(A,B),mult(C,D)),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(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),bind(Y,$fot(mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))))),bind(Z,$fot(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))))))]]) ).
cnf(refute_0_335,plain,
( mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))))
| mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))))) )],[refute_0_332,refute_0_335]) ).
cnf(refute_0_337,plain,
( mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))
| mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))))
| mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),bind(Y,$fot(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))))),bind(Z,$fot(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))))]]) ).
cnf(refute_0_338,plain,
( mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))
| mult(mult(mult(mult(mult(A,B),mult(C,D)),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( $equal(mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D))))) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(A,B)),mult(mult(mult(A,B),mult(C,D)),mult(C,D)))),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))) )],[refute_0_297,refute_0_338]) ).
cnf(refute_0_340,plain,
mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))),
introduced(tautology,[refl,[$fot(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))]]) ).
cnf(refute_0_341,plain,
( mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),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(mult(mult(A,B),mult(C,D)),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(mult(A,B),mult(C,D)),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,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),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,B),mult(C,D)),mult(mult(A,C),mult(B,D)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) ),[1,1],$fot(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))))]]) ).
cnf(refute_0_342,plain,
( mult(mult(mult(mult(mult(A,B),mult(C,D)),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,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),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,B),mult(C,D)),mult(mult(A,C),mult(B,D)))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))) )],[refute_0_339,refute_0_342]) ).
cnf(refute_0_344,plain,
( mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))) != mult(mult(A,C),mult(B,D))
| mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))))
| mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))) = mult(mult(A,C),mult(B,D)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))),bind(Y,$fot(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))))),bind(Z,$fot(mult(mult(A,C),mult(B,D))))]]) ).
cnf(refute_0_345,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(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),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( $equal(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))))) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))) = mult(mult(A,C),mult(B,D)),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,C),mult(B,D))) )],[c03,refute_0_345]) ).
cnf(refute_0_347,plain,
mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) = mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),
introduced(tautology,[refl,[$fot(mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))))]]) ).
cnf(refute_0_348,plain,
( mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),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,C),mult(B,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),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(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),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(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),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,C),mult(B,D))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))) ),[1,1],$fot(mult(mult(A,C),mult(B,D)))]]) ).
cnf(refute_0_349,plain,
( mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),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,C),mult(B,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),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,C),mult(B,D))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) = mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))),mult(mult(A,C),mult(B,D))) )],[refute_0_346,refute_0_349]) ).
cnf(refute_0_351,plain,
( mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))) != mult(mult(A,C),mult(B,D))
| mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) != mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D)))
| mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) = mult(mult(A,C),mult(B,D)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))))),bind(Y,$fot(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))))),bind(Z,$fot(mult(mult(A,C),mult(B,D))))]]) ).
cnf(refute_0_352,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(A,C),mult(B,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),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( $equal(mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D)))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) = mult(mult(A,C),mult(B,D)),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,C),mult(B,D))) )],[refute_0_270,refute_0_352]) ).
cnf(refute_0_354,plain,
mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(X_60,X_62),mult(X_61,X_63))),C)) = mult(mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(X_60,X_62),mult(X_61,X_63)))),mult(mult(mult(X_60,X_61),mult(X_62,X_63)),C)),
inference(subst,[],[c01:[bind(A,$fot(mult(mult(X_60,X_61),mult(X_62,X_63)))),bind(B,$fot(mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(X_60,X_62),mult(X_61,X_63)))))]]) ).
cnf(refute_0_355,plain,
mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(X_60,X_62),mult(X_61,X_63)))) = mult(mult(X_60,X_62),mult(X_61,X_63)),
inference(subst,[],[c03:[bind(A,$fot(X_60)),bind(B,$fot(X_61)),bind(C,$fot(X_62)),bind(D,$fot(X_63))]]) ).
cnf(refute_0_356,plain,
( mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(X_60,X_62),mult(X_61,X_63)))) != mult(mult(X_60,X_62),mult(X_61,X_63))
| mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(X_60,X_62),mult(X_61,X_63))),C)) != mult(mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(X_60,X_62),mult(X_61,X_63)))),mult(mult(mult(X_60,X_61),mult(X_62,X_63)),C))
| mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(X_60,X_62),mult(X_61,X_63))),C)) = mult(mult(mult(X_60,X_62),mult(X_61,X_63)),mult(mult(mult(X_60,X_61),mult(X_62,X_63)),C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(X_60,X_62),mult(X_61,X_63))),C)),mult(mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(X_60,X_62),mult(X_61,X_63)))),mult(mult(mult(X_60,X_61),mult(X_62,X_63)),C))) ),[1,0],$fot(mult(mult(X_60,X_62),mult(X_61,X_63)))]]) ).
cnf(refute_0_357,plain,
( mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(X_60,X_62),mult(X_61,X_63))),C)) != mult(mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(X_60,X_62),mult(X_61,X_63)))),mult(mult(mult(X_60,X_61),mult(X_62,X_63)),C))
| mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(X_60,X_62),mult(X_61,X_63))),C)) = mult(mult(mult(X_60,X_62),mult(X_61,X_63)),mult(mult(mult(X_60,X_61),mult(X_62,X_63)),C)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(X_60,X_62),mult(X_61,X_63)))),mult(mult(X_60,X_62),mult(X_61,X_63))) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(X_60,X_62),mult(X_61,X_63))),C)) = mult(mult(mult(X_60,X_62),mult(X_61,X_63)),mult(mult(mult(X_60,X_61),mult(X_62,X_63)),C)),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(X_60,X_62),mult(X_61,X_63))),C)),mult(mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(mult(X_60,X_61),mult(X_62,X_63)),mult(mult(X_60,X_62),mult(X_61,X_63)))),mult(mult(mult(X_60,X_61),mult(X_62,X_63)),C))) )],[refute_0_354,refute_0_357]) ).
cnf(refute_0_359,plain,
mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) = mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),
inference(subst,[],[refute_0_358:[bind(C,$fot(mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),bind(X_60,$fot(A)),bind(X_61,$fot(B)),bind(X_62,$fot(C)),bind(X_63,$fot(D))]]) ).
cnf(refute_0_360,plain,
( mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),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(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),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(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),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(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),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_100:[bind(X,$fot(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))))),bind(Y,$fot(mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))))),bind(Z,$fot(mult(mult(A,C),mult(B,D))))]]) ).
cnf(refute_0_361,plain,
( mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) != mult(mult(A,C),mult(B,D))
| mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) = mult(mult(A,C),mult(B,D)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) = mult(mult(A,C),mult(B,D)),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),mult(mult(A,C),mult(B,D))) )],[refute_0_353,refute_0_361]) ).
cnf(refute_0_363,plain,
( mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D)))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))
| mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) != mult(mult(A,C),mult(B,D))
| mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D)))) = mult(mult(A,C),mult(B,D)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D)))),mult(mult(A,C),mult(B,D))) ),[0],$fot(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))))]]) ).
cnf(refute_0_364,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(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),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(A,C),mult(B,D)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),mult(mult(A,C),mult(B,D))) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
( mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,B),mult(C,D))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))
| mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D)))) = mult(mult(A,C),mult(B,D)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D)))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))) )],[refute_0_265,refute_0_364]) ).
cnf(refute_0_366,plain,
mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D)))) = mult(mult(A,C),mult(B,D)),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))),mult(mult(A,B),mult(C,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))) )],[refute_0_258,refute_0_365]) ).
cnf(refute_0_367,plain,
mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D)))),
inference(subst,[],[refute_0_358:[bind(C,$fot(mult(mult(A,B),mult(C,D)))),bind(X_60,$fot(A)),bind(X_61,$fot(C)),bind(X_62,$fot(B)),bind(X_63,$fot(D))]]) ).
cnf(refute_0_368,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_100:[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,$fot(mult(mult(A,C),mult(B,D))))]]) ).
cnf(refute_0_369,plain,
( mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D)))) != mult(mult(A,C),mult(B,D))
| mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))) = mult(mult(A,C),mult(B,D)) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))) = mult(mult(A,C),mult(B,D)),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D)))),mult(mult(A,C),mult(B,D))) )],[refute_0_366,refute_0_369]) ).
cnf(refute_0_371,plain,
mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),
introduced(tautology,[refl,[$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_372,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_373,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( $equal(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))),mult(mult(A,C),mult(B,D))) )],[refute_0_370,refute_0_373]) ).
cnf(refute_0_375,plain,
( mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))
| mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))
| mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))) ),
introduced(tautology,[equality,[$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_376,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( $equal(mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D))))),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
( mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))
| mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))) )],[refute_0_254,refute_0_376]) ).
cnf(refute_0_378,plain,
mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))) = mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))),
inference(resolve,[$cnf( $equal(mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,C),mult(B,D))),mult(mult(A,B),mult(C,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(mult(A,C),mult(B,D)),mult(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(A,B),mult(C,D)))))) )],[refute_0_251,refute_0_377]) ).
cnf(refute_0_379,plain,
( mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))) != mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))
| mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))) = mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))))),bind(Y,$fot(mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))))]]) ).
cnf(refute_0_380,plain,
mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D))) = mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),
inference(resolve,[$cnf( $equal(mult(mult(mult(A,C),mult(B,D)),mult(mult(A,B),mult(C,D))),mult(mult(mult(A,B),mult(C,D)),mult(mult(A,C),mult(B,D)))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
mult(mult(mult(a,c),mult(b,d)),mult(mult(a,b),mult(c,d))) = mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))),
inference(subst,[],[refute_0_380:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(b)),bind(D,$fot(d))]]) ).
cnf(refute_0_382,plain,
( mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))) != mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d)))
| mult(mult(mult(a,c),mult(b,d)),mult(mult(a,b),mult(c,d))) != mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d)))
| mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))) = mult(mult(mult(a,c),mult(b,d)),mult(mult(a,b),mult(c,d))) ),
introduced(tautology,[equality,[$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_383,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( $equal(mult(mult(mult(a,c),mult(b,d)),mult(mult(a,b),mult(c,d))),mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d)))) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))) != mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))),
inference(resolve,[$cnf( $equal(mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))),mult(mult(mult(a,c),mult(b,d)),mult(mult(a,b),mult(c,d)))) )],[refute_0_383,goals]) ).
cnf(refute_0_385,plain,
mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))) = mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))),
introduced(tautology,[refl,[$fot(mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))))]]) ).
cnf(refute_0_386,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_385,refute_0_384]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG240-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.33 % Computer : n027.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Thu Jun 9 04:37:27 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 6.14/6.32 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.14/6.32
% 6.14/6.32 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.25/6.42
%------------------------------------------------------------------------------