TSTP Solution File: GRP756-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP756-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.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 : Sat Jul 16 10:50:39 EDT 2022
% Result : Unsatisfiable 1.96s 2.14s
% Output : CNFRefutation 2.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 73
% Number of leaves : 140
% Syntax : Number of clauses : 598 ( 318 unt; 0 nHn; 257 RR)
% Number of literals : 1003 (1002 equ; 407 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 1507 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f01,axiom,
mult(A,ld(A,B)) = B ).
cnf(f02,axiom,
ld(A,mult(A,B)) = B ).
cnf(f03,axiom,
mult(rd(A,B),B) = A ).
cnf(f04,axiom,
rd(mult(A,B),B) = A ).
cnf(f05,axiom,
mult(A,mult(mult(B,B),C)) = mult(mult(A,B),mult(B,C)) ).
cnf(goals,negated_conjecture,
mult(mult(a,b),c) != mult(a,mult(b,c)) ).
cnf(refute_0_0,plain,
mult(X_12,mult(mult(X_13,X_13),ld(X_13,B))) = mult(mult(X_12,X_13),mult(X_13,ld(X_13,B))),
inference(subst,[],[f05:[bind(A,$fot(X_12)),bind(B,$fot(X_13)),bind(C,$fot(ld(X_13,B)))]]) ).
cnf(refute_0_1,plain,
mult(X_13,ld(X_13,B)) = B,
inference(subst,[],[f01:[bind(A,$fot(X_13))]]) ).
cnf(refute_0_2,plain,
( mult(X_12,mult(mult(X_13,X_13),ld(X_13,B))) != mult(mult(X_12,X_13),mult(X_13,ld(X_13,B)))
| mult(X_13,ld(X_13,B)) != B
| mult(X_12,mult(mult(X_13,X_13),ld(X_13,B))) = mult(mult(X_12,X_13),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_12,mult(mult(X_13,X_13),ld(X_13,B))),mult(mult(X_12,X_13),mult(X_13,ld(X_13,B)))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_3,plain,
( mult(X_12,mult(mult(X_13,X_13),ld(X_13,B))) != mult(mult(X_12,X_13),mult(X_13,ld(X_13,B)))
| mult(X_12,mult(mult(X_13,X_13),ld(X_13,B))) = mult(mult(X_12,X_13),B) ),
inference(resolve,[$cnf( $equal(mult(X_13,ld(X_13,B)),B) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
mult(X_12,mult(mult(X_13,X_13),ld(X_13,B))) = mult(mult(X_12,X_13),B),
inference(resolve,[$cnf( $equal(mult(X_12,mult(mult(X_13,X_13),ld(X_13,B))),mult(mult(X_12,X_13),mult(X_13,ld(X_13,B)))) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
mult(rd(X_114,X_115),mult(mult(mult(X_115,X_115),mult(X_115,X_115)),ld(mult(X_115,X_115),B))) = mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B),
inference(subst,[],[refute_0_4:[bind(X_12,$fot(rd(X_114,X_115))),bind(X_13,$fot(mult(X_115,X_115)))]]) ).
cnf(refute_0_6,plain,
mult(rd(A,X_13),mult(mult(X_13,X_13),X_14)) = mult(mult(rd(A,X_13),X_13),mult(X_13,X_14)),
inference(subst,[],[f05:[bind(A,$fot(rd(A,X_13))),bind(B,$fot(X_13)),bind(C,$fot(X_14))]]) ).
cnf(refute_0_7,plain,
mult(rd(A,X_13),X_13) = A,
inference(subst,[],[f03:[bind(B,$fot(X_13))]]) ).
cnf(refute_0_8,plain,
( mult(rd(A,X_13),X_13) != A
| mult(rd(A,X_13),mult(mult(X_13,X_13),X_14)) != mult(mult(rd(A,X_13),X_13),mult(X_13,X_14))
| mult(rd(A,X_13),mult(mult(X_13,X_13),X_14)) = mult(A,mult(X_13,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(A,X_13),mult(mult(X_13,X_13),X_14)),mult(mult(rd(A,X_13),X_13),mult(X_13,X_14))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_9,plain,
( mult(rd(A,X_13),mult(mult(X_13,X_13),X_14)) != mult(mult(rd(A,X_13),X_13),mult(X_13,X_14))
| mult(rd(A,X_13),mult(mult(X_13,X_13),X_14)) = mult(A,mult(X_13,X_14)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_13),X_13),A) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
mult(rd(A,X_13),mult(mult(X_13,X_13),X_14)) = mult(A,mult(X_13,X_14)),
inference(resolve,[$cnf( $equal(mult(rd(A,X_13),mult(mult(X_13,X_13),X_14)),mult(mult(rd(A,X_13),X_13),mult(X_13,X_14))) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
mult(rd(X_33,X_34),mult(mult(X_34,X_34),mult(mult(X_13,X_13),ld(X_13,B)))) = mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B)))),
inference(subst,[],[refute_0_10:[bind(A,$fot(X_33)),bind(X_13,$fot(X_34)),bind(X_14,$fot(mult(mult(X_13,X_13),ld(X_13,B))))]]) ).
cnf(refute_0_12,plain,
mult(mult(X_34,X_34),mult(mult(X_13,X_13),ld(X_13,B))) = mult(mult(mult(X_34,X_34),X_13),B),
inference(subst,[],[refute_0_4:[bind(X_12,$fot(mult(X_34,X_34)))]]) ).
cnf(refute_0_13,plain,
( mult(mult(X_34,X_34),mult(mult(X_13,X_13),ld(X_13,B))) != mult(mult(mult(X_34,X_34),X_13),B)
| mult(rd(X_33,X_34),mult(mult(X_34,X_34),mult(mult(X_13,X_13),ld(X_13,B)))) != mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B))))
| mult(rd(X_33,X_34),mult(mult(mult(X_34,X_34),X_13),B)) = mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_33,X_34),mult(mult(X_34,X_34),mult(mult(X_13,X_13),ld(X_13,B)))),mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B))))) ),[0,1],$fot(mult(mult(mult(X_34,X_34),X_13),B))]]) ).
cnf(refute_0_14,plain,
( mult(rd(X_33,X_34),mult(mult(X_34,X_34),mult(mult(X_13,X_13),ld(X_13,B)))) != mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B))))
| mult(rd(X_33,X_34),mult(mult(mult(X_34,X_34),X_13),B)) = mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B)))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_34,X_34),mult(mult(X_13,X_13),ld(X_13,B))),mult(mult(mult(X_34,X_34),X_13),B)) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
mult(rd(X_33,X_34),mult(mult(mult(X_34,X_34),X_13),B)) = mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B)))),
inference(resolve,[$cnf( $equal(mult(rd(X_33,X_34),mult(mult(X_34,X_34),mult(mult(X_13,X_13),ld(X_13,B)))),mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B))))) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
mult(X_34,mult(mult(X_13,X_13),ld(X_13,B))) = mult(mult(X_34,X_13),B),
inference(subst,[],[refute_0_4:[bind(X_12,$fot(X_34))]]) ).
cnf(refute_0_17,plain,
mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B)))) = mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B)))),
introduced(tautology,[refl,[$fot(mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B)))))]]) ).
cnf(refute_0_18,plain,
( mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B)))) != mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B))))
| mult(X_34,mult(mult(X_13,X_13),ld(X_13,B))) != mult(mult(X_34,X_13),B)
| mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B)))) = mult(X_33,mult(mult(X_34,X_13),B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B)))),mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B))))) ),[1,1],$fot(mult(mult(X_34,X_13),B))]]) ).
cnf(refute_0_19,plain,
( mult(X_34,mult(mult(X_13,X_13),ld(X_13,B))) != mult(mult(X_34,X_13),B)
| mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B)))) = mult(X_33,mult(mult(X_34,X_13),B)) ),
inference(resolve,[$cnf( $equal(mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B)))),mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B))))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B)))) = mult(X_33,mult(mult(X_34,X_13),B)),
inference(resolve,[$cnf( $equal(mult(X_34,mult(mult(X_13,X_13),ld(X_13,B))),mult(mult(X_34,X_13),B)) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
( mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B)))) != mult(X_33,mult(mult(X_34,X_13),B))
| mult(rd(X_33,X_34),mult(mult(mult(X_34,X_34),X_13),B)) != mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B))))
| mult(rd(X_33,X_34),mult(mult(mult(X_34,X_34),X_13),B)) = mult(X_33,mult(mult(X_34,X_13),B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_33,X_34),mult(mult(mult(X_34,X_34),X_13),B)),mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B))))) ),[1],$fot(mult(X_33,mult(mult(X_34,X_13),B)))]]) ).
cnf(refute_0_22,plain,
( mult(rd(X_33,X_34),mult(mult(mult(X_34,X_34),X_13),B)) != mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B))))
| mult(rd(X_33,X_34),mult(mult(mult(X_34,X_34),X_13),B)) = mult(X_33,mult(mult(X_34,X_13),B)) ),
inference(resolve,[$cnf( $equal(mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B)))),mult(X_33,mult(mult(X_34,X_13),B))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
mult(rd(X_33,X_34),mult(mult(mult(X_34,X_34),X_13),B)) = mult(X_33,mult(mult(X_34,X_13),B)),
inference(resolve,[$cnf( $equal(mult(rd(X_33,X_34),mult(mult(mult(X_34,X_34),X_13),B)),mult(X_33,mult(X_34,mult(mult(X_13,X_13),ld(X_13,B))))) )],[refute_0_15,refute_0_22]) ).
cnf(refute_0_24,plain,
mult(rd(X_114,X_115),mult(mult(mult(X_115,X_115),mult(X_115,X_115)),ld(mult(X_115,X_115),B))) = mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))),
inference(subst,[],[refute_0_23:[bind(B,$fot(ld(mult(X_115,X_115),B))),bind(X_13,$fot(mult(X_115,X_115))),bind(X_33,$fot(X_114)),bind(X_34,$fot(X_115))]]) ).
cnf(refute_0_25,plain,
( mult(rd(X_114,X_115),mult(mult(mult(X_115,X_115),mult(X_115,X_115)),ld(mult(X_115,X_115),B))) != mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B)))
| mult(rd(X_114,X_115),mult(mult(mult(X_115,X_115),mult(X_115,X_115)),ld(mult(X_115,X_115),B))) != mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B)
| mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))) = mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_114,X_115),mult(mult(mult(X_115,X_115),mult(X_115,X_115)),ld(mult(X_115,X_115),B))),mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B)) ),[0],$fot(mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))))]]) ).
cnf(refute_0_26,plain,
( mult(rd(X_114,X_115),mult(mult(mult(X_115,X_115),mult(X_115,X_115)),ld(mult(X_115,X_115),B))) != mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B)
| mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))) = mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B) ),
inference(resolve,[$cnf( $equal(mult(rd(X_114,X_115),mult(mult(mult(X_115,X_115),mult(X_115,X_115)),ld(mult(X_115,X_115),B))),mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B)))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))) = mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B),
inference(resolve,[$cnf( $equal(mult(rd(X_114,X_115),mult(mult(mult(X_115,X_115),mult(X_115,X_115)),ld(mult(X_115,X_115),B))),mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B)) )],[refute_0_5,refute_0_26]) ).
cnf(refute_0_28,plain,
mult(rd(X_115,X_115),X_115) = X_115,
inference(subst,[],[f03:[bind(A,$fot(X_115)),bind(B,$fot(X_115))]]) ).
cnf(refute_0_29,plain,
mult(X_114,mult(rd(X_115,X_115),X_115)) = mult(X_114,mult(rd(X_115,X_115),X_115)),
introduced(tautology,[refl,[$fot(mult(X_114,mult(rd(X_115,X_115),X_115)))]]) ).
cnf(refute_0_30,plain,
( mult(X_114,mult(rd(X_115,X_115),X_115)) != mult(X_114,mult(rd(X_115,X_115),X_115))
| mult(rd(X_115,X_115),X_115) != X_115
| mult(X_114,mult(rd(X_115,X_115),X_115)) = mult(X_114,X_115) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_114,mult(rd(X_115,X_115),X_115)),mult(X_114,mult(rd(X_115,X_115),X_115))) ),[1,1],$fot(X_115)]]) ).
cnf(refute_0_31,plain,
( mult(rd(X_115,X_115),X_115) != X_115
| mult(X_114,mult(rd(X_115,X_115),X_115)) = mult(X_114,X_115) ),
inference(resolve,[$cnf( $equal(mult(X_114,mult(rd(X_115,X_115),X_115)),mult(X_114,mult(rd(X_115,X_115),X_115))) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
mult(X_114,mult(rd(X_115,X_115),X_115)) = mult(X_114,X_115),
inference(resolve,[$cnf( $equal(mult(rd(X_115,X_115),X_115),X_115) )],[refute_0_28,refute_0_31]) ).
cnf(refute_0_33,plain,
mult(rd(X_33,X_34),mult(mult(X_34,X_34),mult(X_34,C))) = mult(X_33,mult(X_34,mult(X_34,C))),
inference(subst,[],[refute_0_10:[bind(A,$fot(X_33)),bind(X_13,$fot(X_34)),bind(X_14,$fot(mult(X_34,C)))]]) ).
cnf(refute_0_34,plain,
mult(X_34,mult(mult(X_34,X_34),C)) = mult(mult(X_34,X_34),mult(X_34,C)),
inference(subst,[],[f05:[bind(A,$fot(X_34)),bind(B,$fot(X_34))]]) ).
cnf(refute_0_35,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_36,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_37,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
( mult(X_34,mult(mult(X_34,X_34),C)) != mult(mult(X_34,X_34),mult(X_34,C))
| mult(mult(X_34,X_34),mult(X_34,C)) = mult(X_34,mult(mult(X_34,X_34),C)) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(mult(X_34,mult(mult(X_34,X_34),C)))),bind(Y,$fot(mult(mult(X_34,X_34),mult(X_34,C))))]]) ).
cnf(refute_0_39,plain,
mult(mult(X_34,X_34),mult(X_34,C)) = mult(X_34,mult(mult(X_34,X_34),C)),
inference(resolve,[$cnf( $equal(mult(X_34,mult(mult(X_34,X_34),C)),mult(mult(X_34,X_34),mult(X_34,C))) )],[refute_0_34,refute_0_38]) ).
cnf(refute_0_40,plain,
( mult(mult(X_34,X_34),mult(X_34,C)) != mult(X_34,mult(mult(X_34,X_34),C))
| mult(rd(X_33,X_34),mult(mult(X_34,X_34),mult(X_34,C))) != mult(X_33,mult(X_34,mult(X_34,C)))
| mult(rd(X_33,X_34),mult(X_34,mult(mult(X_34,X_34),C))) = mult(X_33,mult(X_34,mult(X_34,C))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_33,X_34),mult(mult(X_34,X_34),mult(X_34,C))),mult(X_33,mult(X_34,mult(X_34,C)))) ),[0,1],$fot(mult(X_34,mult(mult(X_34,X_34),C)))]]) ).
cnf(refute_0_41,plain,
( mult(rd(X_33,X_34),mult(mult(X_34,X_34),mult(X_34,C))) != mult(X_33,mult(X_34,mult(X_34,C)))
| mult(rd(X_33,X_34),mult(X_34,mult(mult(X_34,X_34),C))) = mult(X_33,mult(X_34,mult(X_34,C))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_34,X_34),mult(X_34,C)),mult(X_34,mult(mult(X_34,X_34),C))) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
mult(rd(X_33,X_34),mult(X_34,mult(mult(X_34,X_34),C))) = mult(X_33,mult(X_34,mult(X_34,C))),
inference(resolve,[$cnf( $equal(mult(rd(X_33,X_34),mult(mult(X_34,X_34),mult(X_34,C))),mult(X_33,mult(X_34,mult(X_34,C)))) )],[refute_0_33,refute_0_41]) ).
cnf(refute_0_43,plain,
mult(rd(X_67,X_68),mult(X_68,mult(mult(X_68,X_68),ld(mult(X_68,X_68),B)))) = mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B)))),
inference(subst,[],[refute_0_42:[bind(C,$fot(ld(mult(X_68,X_68),B))),bind(X_33,$fot(X_67)),bind(X_34,$fot(X_68))]]) ).
cnf(refute_0_44,plain,
mult(mult(X_68,X_68),ld(mult(X_68,X_68),B)) = B,
inference(subst,[],[f01:[bind(A,$fot(mult(X_68,X_68)))]]) ).
cnf(refute_0_45,plain,
( mult(mult(X_68,X_68),ld(mult(X_68,X_68),B)) != B
| mult(rd(X_67,X_68),mult(X_68,mult(mult(X_68,X_68),ld(mult(X_68,X_68),B)))) != mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B))))
| mult(rd(X_67,X_68),mult(X_68,B)) = mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_67,X_68),mult(X_68,mult(mult(X_68,X_68),ld(mult(X_68,X_68),B)))),mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B))))) ),[0,1,1],$fot(B)]]) ).
cnf(refute_0_46,plain,
( mult(rd(X_67,X_68),mult(X_68,mult(mult(X_68,X_68),ld(mult(X_68,X_68),B)))) != mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B))))
| mult(rd(X_67,X_68),mult(X_68,B)) = mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B)))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_68,X_68),ld(mult(X_68,X_68),B)),B) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
mult(rd(X_67,X_68),mult(X_68,B)) = mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B)))),
inference(resolve,[$cnf( $equal(mult(rd(X_67,X_68),mult(X_68,mult(mult(X_68,X_68),ld(mult(X_68,X_68),B)))),mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B))))) )],[refute_0_43,refute_0_46]) ).
cnf(refute_0_48,plain,
mult(rd(X_33,X_34),mult(mult(X_34,X_34),ld(mult(X_34,X_34),B))) = mult(X_33,mult(X_34,ld(mult(X_34,X_34),B))),
inference(subst,[],[refute_0_10:[bind(A,$fot(X_33)),bind(X_13,$fot(X_34)),bind(X_14,$fot(ld(mult(X_34,X_34),B)))]]) ).
cnf(refute_0_49,plain,
mult(mult(X_34,X_34),ld(mult(X_34,X_34),B)) = B,
inference(subst,[],[f01:[bind(A,$fot(mult(X_34,X_34)))]]) ).
cnf(refute_0_50,plain,
( mult(mult(X_34,X_34),ld(mult(X_34,X_34),B)) != B
| mult(rd(X_33,X_34),mult(mult(X_34,X_34),ld(mult(X_34,X_34),B))) != mult(X_33,mult(X_34,ld(mult(X_34,X_34),B)))
| mult(rd(X_33,X_34),B) = mult(X_33,mult(X_34,ld(mult(X_34,X_34),B))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_33,X_34),mult(mult(X_34,X_34),ld(mult(X_34,X_34),B))),mult(X_33,mult(X_34,ld(mult(X_34,X_34),B)))) ),[0,1],$fot(B)]]) ).
cnf(refute_0_51,plain,
( mult(rd(X_33,X_34),mult(mult(X_34,X_34),ld(mult(X_34,X_34),B))) != mult(X_33,mult(X_34,ld(mult(X_34,X_34),B)))
| mult(rd(X_33,X_34),B) = mult(X_33,mult(X_34,ld(mult(X_34,X_34),B))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_34,X_34),ld(mult(X_34,X_34),B)),B) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
mult(rd(X_33,X_34),B) = mult(X_33,mult(X_34,ld(mult(X_34,X_34),B))),
inference(resolve,[$cnf( $equal(mult(rd(X_33,X_34),mult(mult(X_34,X_34),ld(mult(X_34,X_34),B))),mult(X_33,mult(X_34,ld(mult(X_34,X_34),B)))) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
( mult(rd(X_33,X_34),B) != mult(X_33,mult(X_34,ld(mult(X_34,X_34),B)))
| mult(X_33,mult(X_34,ld(mult(X_34,X_34),B))) = mult(rd(X_33,X_34),B) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(mult(rd(X_33,X_34),B))),bind(Y,$fot(mult(X_33,mult(X_34,ld(mult(X_34,X_34),B)))))]]) ).
cnf(refute_0_54,plain,
mult(X_33,mult(X_34,ld(mult(X_34,X_34),B))) = mult(rd(X_33,X_34),B),
inference(resolve,[$cnf( $equal(mult(rd(X_33,X_34),B),mult(X_33,mult(X_34,ld(mult(X_34,X_34),B)))) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
mult(X_68,mult(X_68,ld(mult(X_68,X_68),B))) = mult(rd(X_68,X_68),B),
inference(subst,[],[refute_0_54:[bind(X_33,$fot(X_68)),bind(X_34,$fot(X_68))]]) ).
cnf(refute_0_56,plain,
mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B)))) = mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B)))),
introduced(tautology,[refl,[$fot(mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B)))))]]) ).
cnf(refute_0_57,plain,
( mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B)))) != mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B))))
| mult(X_68,mult(X_68,ld(mult(X_68,X_68),B))) != mult(rd(X_68,X_68),B)
| mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B)))) = mult(X_67,mult(rd(X_68,X_68),B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B)))),mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B))))) ),[1,1],$fot(mult(rd(X_68,X_68),B))]]) ).
cnf(refute_0_58,plain,
( mult(X_68,mult(X_68,ld(mult(X_68,X_68),B))) != mult(rd(X_68,X_68),B)
| mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B)))) = mult(X_67,mult(rd(X_68,X_68),B)) ),
inference(resolve,[$cnf( $equal(mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B)))),mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B))))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B)))) = mult(X_67,mult(rd(X_68,X_68),B)),
inference(resolve,[$cnf( $equal(mult(X_68,mult(X_68,ld(mult(X_68,X_68),B))),mult(rd(X_68,X_68),B)) )],[refute_0_55,refute_0_58]) ).
cnf(refute_0_60,plain,
( mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B)))) != mult(X_67,mult(rd(X_68,X_68),B))
| mult(rd(X_67,X_68),mult(X_68,B)) != mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B))))
| mult(rd(X_67,X_68),mult(X_68,B)) = mult(X_67,mult(rd(X_68,X_68),B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_67,X_68),mult(X_68,B)),mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B))))) ),[1],$fot(mult(X_67,mult(rd(X_68,X_68),B)))]]) ).
cnf(refute_0_61,plain,
( mult(rd(X_67,X_68),mult(X_68,B)) != mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B))))
| mult(rd(X_67,X_68),mult(X_68,B)) = mult(X_67,mult(rd(X_68,X_68),B)) ),
inference(resolve,[$cnf( $equal(mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B)))),mult(X_67,mult(rd(X_68,X_68),B))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
mult(rd(X_67,X_68),mult(X_68,B)) = mult(X_67,mult(rd(X_68,X_68),B)),
inference(resolve,[$cnf( $equal(mult(rd(X_67,X_68),mult(X_68,B)),mult(X_67,mult(X_68,mult(X_68,ld(mult(X_68,X_68),B))))) )],[refute_0_47,refute_0_61]) ).
cnf(refute_0_63,plain,
mult(rd(X_114,X_115),mult(X_115,X_115)) = mult(X_114,mult(rd(X_115,X_115),X_115)),
inference(subst,[],[refute_0_62:[bind(B,$fot(X_115)),bind(X_67,$fot(X_114)),bind(X_68,$fot(X_115))]]) ).
cnf(refute_0_64,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_65,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_37,refute_0_64]) ).
cnf(refute_0_66,plain,
( mult(X_114,mult(rd(X_115,X_115),X_115)) != mult(X_114,X_115)
| mult(rd(X_114,X_115),mult(X_115,X_115)) != mult(X_114,mult(rd(X_115,X_115),X_115))
| mult(rd(X_114,X_115),mult(X_115,X_115)) = mult(X_114,X_115) ),
inference(subst,[],[refute_0_65:[bind(X,$fot(mult(rd(X_114,X_115),mult(X_115,X_115)))),bind(Y,$fot(mult(X_114,mult(rd(X_115,X_115),X_115)))),bind(Z,$fot(mult(X_114,X_115)))]]) ).
cnf(refute_0_67,plain,
( mult(X_114,mult(rd(X_115,X_115),X_115)) != mult(X_114,X_115)
| mult(rd(X_114,X_115),mult(X_115,X_115)) = mult(X_114,X_115) ),
inference(resolve,[$cnf( $equal(mult(rd(X_114,X_115),mult(X_115,X_115)),mult(X_114,mult(rd(X_115,X_115),X_115))) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
mult(rd(X_114,X_115),mult(X_115,X_115)) = mult(X_114,X_115),
inference(resolve,[$cnf( $equal(mult(X_114,mult(rd(X_115,X_115),X_115)),mult(X_114,X_115)) )],[refute_0_32,refute_0_67]) ).
cnf(refute_0_69,plain,
mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B) = mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B),
introduced(tautology,[refl,[$fot(mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B))]]) ).
cnf(refute_0_70,plain,
( mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B) != mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B)
| mult(rd(X_114,X_115),mult(X_115,X_115)) != mult(X_114,X_115)
| mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B) = mult(mult(X_114,X_115),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B),mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B)) ),[1,0],$fot(mult(X_114,X_115))]]) ).
cnf(refute_0_71,plain,
( mult(rd(X_114,X_115),mult(X_115,X_115)) != mult(X_114,X_115)
| mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B) = mult(mult(X_114,X_115),B) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B),mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B)) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B) = mult(mult(X_114,X_115),B),
inference(resolve,[$cnf( $equal(mult(rd(X_114,X_115),mult(X_115,X_115)),mult(X_114,X_115)) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
( mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))) != mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B)
| mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B) != mult(mult(X_114,X_115),B)
| mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))) = mult(mult(X_114,X_115),B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))),mult(mult(X_114,X_115),B)) ),[0],$fot(mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B))]]) ).
cnf(refute_0_74,plain,
( mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))) != mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B)
| mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))) = mult(mult(X_114,X_115),B) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B),mult(mult(X_114,X_115),B)) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))) = mult(mult(X_114,X_115),B),
inference(resolve,[$cnf( $equal(mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))),mult(mult(rd(X_114,X_115),mult(X_115,X_115)),B)) )],[refute_0_27,refute_0_74]) ).
cnf(refute_0_76,plain,
rd(mult(mult(X_12,X_13),mult(X_13,X_14)),mult(X_13,X_14)) = mult(X_12,X_13),
inference(subst,[],[f04:[bind(A,$fot(mult(X_12,X_13))),bind(B,$fot(mult(X_13,X_14)))]]) ).
cnf(refute_0_77,plain,
mult(X_12,mult(mult(X_13,X_13),X_14)) = mult(mult(X_12,X_13),mult(X_13,X_14)),
inference(subst,[],[f05:[bind(A,$fot(X_12)),bind(B,$fot(X_13)),bind(C,$fot(X_14))]]) ).
cnf(refute_0_78,plain,
( mult(X_12,mult(mult(X_13,X_13),X_14)) != mult(mult(X_12,X_13),mult(X_13,X_14))
| mult(mult(X_12,X_13),mult(X_13,X_14)) = mult(X_12,mult(mult(X_13,X_13),X_14)) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(mult(X_12,mult(mult(X_13,X_13),X_14)))),bind(Y,$fot(mult(mult(X_12,X_13),mult(X_13,X_14))))]]) ).
cnf(refute_0_79,plain,
mult(mult(X_12,X_13),mult(X_13,X_14)) = mult(X_12,mult(mult(X_13,X_13),X_14)),
inference(resolve,[$cnf( $equal(mult(X_12,mult(mult(X_13,X_13),X_14)),mult(mult(X_12,X_13),mult(X_13,X_14))) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
( mult(mult(X_12,X_13),mult(X_13,X_14)) != mult(X_12,mult(mult(X_13,X_13),X_14))
| rd(mult(mult(X_12,X_13),mult(X_13,X_14)),mult(X_13,X_14)) != mult(X_12,X_13)
| rd(mult(X_12,mult(mult(X_13,X_13),X_14)),mult(X_13,X_14)) = mult(X_12,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_12,X_13),mult(X_13,X_14)),mult(X_13,X_14)),mult(X_12,X_13)) ),[0,0],$fot(mult(X_12,mult(mult(X_13,X_13),X_14)))]]) ).
cnf(refute_0_81,plain,
( rd(mult(mult(X_12,X_13),mult(X_13,X_14)),mult(X_13,X_14)) != mult(X_12,X_13)
| rd(mult(X_12,mult(mult(X_13,X_13),X_14)),mult(X_13,X_14)) = mult(X_12,X_13) ),
inference(resolve,[$cnf( $equal(mult(mult(X_12,X_13),mult(X_13,X_14)),mult(X_12,mult(mult(X_13,X_13),X_14))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
rd(mult(X_12,mult(mult(X_13,X_13),X_14)),mult(X_13,X_14)) = mult(X_12,X_13),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_12,X_13),mult(X_13,X_14)),mult(X_13,X_14)),mult(X_12,X_13)) )],[refute_0_76,refute_0_81]) ).
cnf(refute_0_83,plain,
rd(mult(X_15,mult(mult(X_16,X_16),ld(mult(X_16,X_16),B))),mult(X_16,ld(mult(X_16,X_16),B))) = mult(X_15,X_16),
inference(subst,[],[refute_0_82:[bind(X_12,$fot(X_15)),bind(X_13,$fot(X_16)),bind(X_14,$fot(ld(mult(X_16,X_16),B)))]]) ).
cnf(refute_0_84,plain,
mult(mult(X_16,X_16),ld(mult(X_16,X_16),B)) = B,
inference(subst,[],[f01:[bind(A,$fot(mult(X_16,X_16)))]]) ).
cnf(refute_0_85,plain,
( mult(mult(X_16,X_16),ld(mult(X_16,X_16),B)) != B
| rd(mult(X_15,mult(mult(X_16,X_16),ld(mult(X_16,X_16),B))),mult(X_16,ld(mult(X_16,X_16),B))) != mult(X_15,X_16)
| rd(mult(X_15,B),mult(X_16,ld(mult(X_16,X_16),B))) = mult(X_15,X_16) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_15,mult(mult(X_16,X_16),ld(mult(X_16,X_16),B))),mult(X_16,ld(mult(X_16,X_16),B))),mult(X_15,X_16)) ),[0,0,1],$fot(B)]]) ).
cnf(refute_0_86,plain,
( rd(mult(X_15,mult(mult(X_16,X_16),ld(mult(X_16,X_16),B))),mult(X_16,ld(mult(X_16,X_16),B))) != mult(X_15,X_16)
| rd(mult(X_15,B),mult(X_16,ld(mult(X_16,X_16),B))) = mult(X_15,X_16) ),
inference(resolve,[$cnf( $equal(mult(mult(X_16,X_16),ld(mult(X_16,X_16),B)),B) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
rd(mult(X_15,B),mult(X_16,ld(mult(X_16,X_16),B))) = mult(X_15,X_16),
inference(resolve,[$cnf( $equal(rd(mult(X_15,mult(mult(X_16,X_16),ld(mult(X_16,X_16),B))),mult(X_16,ld(mult(X_16,X_16),B))),mult(X_15,X_16)) )],[refute_0_83,refute_0_86]) ).
cnf(refute_0_88,plain,
rd(mult(rd(A,X_24),X_24),mult(X_26,ld(mult(X_26,X_26),X_24))) = mult(rd(A,X_24),X_26),
inference(subst,[],[refute_0_87:[bind(B,$fot(X_24)),bind(X_15,$fot(rd(A,X_24))),bind(X_16,$fot(X_26))]]) ).
cnf(refute_0_89,plain,
mult(rd(A,X_24),X_24) = A,
inference(subst,[],[f03:[bind(B,$fot(X_24))]]) ).
cnf(refute_0_90,plain,
( mult(rd(A,X_24),X_24) != A
| rd(mult(rd(A,X_24),X_24),mult(X_26,ld(mult(X_26,X_26),X_24))) != mult(rd(A,X_24),X_26)
| rd(A,mult(X_26,ld(mult(X_26,X_26),X_24))) = mult(rd(A,X_24),X_26) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(A,X_24),X_24),mult(X_26,ld(mult(X_26,X_26),X_24))),mult(rd(A,X_24),X_26)) ),[0,0],$fot(A)]]) ).
cnf(refute_0_91,plain,
( rd(mult(rd(A,X_24),X_24),mult(X_26,ld(mult(X_26,X_26),X_24))) != mult(rd(A,X_24),X_26)
| rd(A,mult(X_26,ld(mult(X_26,X_26),X_24))) = mult(rd(A,X_24),X_26) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_24),X_24),A) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
rd(A,mult(X_26,ld(mult(X_26,X_26),X_24))) = mult(rd(A,X_24),X_26),
inference(resolve,[$cnf( $equal(rd(mult(rd(A,X_24),X_24),mult(X_26,ld(mult(X_26,X_26),X_24))),mult(rd(A,X_24),X_26)) )],[refute_0_88,refute_0_91]) ).
cnf(refute_0_93,plain,
rd(X_24,mult(X_26,ld(mult(X_26,X_26),X_24))) = mult(rd(X_24,X_24),X_26),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_24))]]) ).
cnf(refute_0_94,plain,
ld(A,mult(A,mult(X_41,ld(mult(X_41,X_41),X_39)))) = mult(X_41,ld(mult(X_41,X_41),X_39)),
inference(subst,[],[f02:[bind(B,$fot(mult(X_41,ld(mult(X_41,X_41),X_39))))]]) ).
cnf(refute_0_95,plain,
mult(rd(A,X_41),X_39) = mult(A,mult(X_41,ld(mult(X_41,X_41),X_39))),
inference(subst,[],[refute_0_52:[bind(B,$fot(X_39)),bind(X_33,$fot(A)),bind(X_34,$fot(X_41))]]) ).
cnf(refute_0_96,plain,
( mult(rd(A,X_41),X_39) != mult(A,mult(X_41,ld(mult(X_41,X_41),X_39)))
| mult(A,mult(X_41,ld(mult(X_41,X_41),X_39))) = mult(rd(A,X_41),X_39) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(mult(rd(A,X_41),X_39))),bind(Y,$fot(mult(A,mult(X_41,ld(mult(X_41,X_41),X_39)))))]]) ).
cnf(refute_0_97,plain,
mult(A,mult(X_41,ld(mult(X_41,X_41),X_39))) = mult(rd(A,X_41),X_39),
inference(resolve,[$cnf( $equal(mult(rd(A,X_41),X_39),mult(A,mult(X_41,ld(mult(X_41,X_41),X_39)))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
( ld(A,mult(A,mult(X_41,ld(mult(X_41,X_41),X_39)))) != mult(X_41,ld(mult(X_41,X_41),X_39))
| mult(A,mult(X_41,ld(mult(X_41,X_41),X_39))) != mult(rd(A,X_41),X_39)
| ld(A,mult(rd(A,X_41),X_39)) = mult(X_41,ld(mult(X_41,X_41),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(A,mult(X_41,ld(mult(X_41,X_41),X_39)))),mult(X_41,ld(mult(X_41,X_41),X_39))) ),[0,1],$fot(mult(rd(A,X_41),X_39))]]) ).
cnf(refute_0_99,plain,
( ld(A,mult(A,mult(X_41,ld(mult(X_41,X_41),X_39)))) != mult(X_41,ld(mult(X_41,X_41),X_39))
| ld(A,mult(rd(A,X_41),X_39)) = mult(X_41,ld(mult(X_41,X_41),X_39)) ),
inference(resolve,[$cnf( $equal(mult(A,mult(X_41,ld(mult(X_41,X_41),X_39))),mult(rd(A,X_41),X_39)) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
ld(A,mult(rd(A,X_41),X_39)) = mult(X_41,ld(mult(X_41,X_41),X_39)),
inference(resolve,[$cnf( $equal(ld(A,mult(A,mult(X_41,ld(mult(X_41,X_41),X_39)))),mult(X_41,ld(mult(X_41,X_41),X_39))) )],[refute_0_94,refute_0_99]) ).
cnf(refute_0_101,plain,
ld(X_89,mult(rd(X_89,X_90),X_90)) = mult(X_90,ld(mult(X_90,X_90),X_90)),
inference(subst,[],[refute_0_100:[bind(A,$fot(X_89)),bind(X_39,$fot(X_90)),bind(X_41,$fot(X_90))]]) ).
cnf(refute_0_102,plain,
mult(rd(X_89,X_90),X_90) = X_89,
inference(subst,[],[f03:[bind(A,$fot(X_89)),bind(B,$fot(X_90))]]) ).
cnf(refute_0_103,plain,
( ld(X_89,mult(rd(X_89,X_90),X_90)) != mult(X_90,ld(mult(X_90,X_90),X_90))
| mult(rd(X_89,X_90),X_90) != X_89
| ld(X_89,X_89) = mult(X_90,ld(mult(X_90,X_90),X_90)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_89,mult(rd(X_89,X_90),X_90)),mult(X_90,ld(mult(X_90,X_90),X_90))) ),[0,1],$fot(X_89)]]) ).
cnf(refute_0_104,plain,
( ld(X_89,mult(rd(X_89,X_90),X_90)) != mult(X_90,ld(mult(X_90,X_90),X_90))
| ld(X_89,X_89) = mult(X_90,ld(mult(X_90,X_90),X_90)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_89,X_90),X_90),X_89) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
ld(X_89,X_89) = mult(X_90,ld(mult(X_90,X_90),X_90)),
inference(resolve,[$cnf( $equal(ld(X_89,mult(rd(X_89,X_90),X_90)),mult(X_90,ld(mult(X_90,X_90),X_90))) )],[refute_0_101,refute_0_104]) ).
cnf(refute_0_106,plain,
ld(X_89,X_89) = mult(rd(X_147,X_147),ld(mult(rd(X_147,X_147),rd(X_147,X_147)),rd(X_147,X_147))),
inference(subst,[],[refute_0_105:[bind(X_90,$fot(rd(X_147,X_147)))]]) ).
cnf(refute_0_107,plain,
rd(mult(X_8,ld(X_8,B)),ld(X_8,B)) = X_8,
inference(subst,[],[f04:[bind(A,$fot(X_8)),bind(B,$fot(ld(X_8,B)))]]) ).
cnf(refute_0_108,plain,
mult(X_8,ld(X_8,B)) = B,
inference(subst,[],[f01:[bind(A,$fot(X_8))]]) ).
cnf(refute_0_109,plain,
( mult(X_8,ld(X_8,B)) != B
| rd(mult(X_8,ld(X_8,B)),ld(X_8,B)) != X_8
| rd(B,ld(X_8,B)) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_8,ld(X_8,B)),ld(X_8,B)),X_8) ),[0,0],$fot(B)]]) ).
cnf(refute_0_110,plain,
( rd(mult(X_8,ld(X_8,B)),ld(X_8,B)) != X_8
| rd(B,ld(X_8,B)) = X_8 ),
inference(resolve,[$cnf( $equal(mult(X_8,ld(X_8,B)),B) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
rd(B,ld(X_8,B)) = X_8,
inference(resolve,[$cnf( $equal(rd(mult(X_8,ld(X_8,B)),ld(X_8,B)),X_8) )],[refute_0_107,refute_0_110]) ).
cnf(refute_0_112,plain,
rd(mult(mult(X_8,rd(X_145,X_145)),X_145),ld(X_8,mult(mult(X_8,rd(X_145,X_145)),X_145))) = X_8,
inference(subst,[],[refute_0_111:[bind(B,$fot(mult(mult(X_8,rd(X_145,X_145)),X_145)))]]) ).
cnf(refute_0_113,plain,
mult(X_12,mult(mult(rd(A,X_14),rd(A,X_14)),X_14)) = mult(mult(X_12,rd(A,X_14)),mult(rd(A,X_14),X_14)),
inference(subst,[],[f05:[bind(A,$fot(X_12)),bind(B,$fot(rd(A,X_14))),bind(C,$fot(X_14))]]) ).
cnf(refute_0_114,plain,
mult(rd(A,X_14),X_14) = A,
inference(subst,[],[f03:[bind(B,$fot(X_14))]]) ).
cnf(refute_0_115,plain,
( mult(X_12,mult(mult(rd(A,X_14),rd(A,X_14)),X_14)) != mult(mult(X_12,rd(A,X_14)),mult(rd(A,X_14),X_14))
| mult(rd(A,X_14),X_14) != A
| mult(X_12,mult(mult(rd(A,X_14),rd(A,X_14)),X_14)) = mult(mult(X_12,rd(A,X_14)),A) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_12,mult(mult(rd(A,X_14),rd(A,X_14)),X_14)),mult(mult(X_12,rd(A,X_14)),mult(rd(A,X_14),X_14))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_116,plain,
( mult(X_12,mult(mult(rd(A,X_14),rd(A,X_14)),X_14)) != mult(mult(X_12,rd(A,X_14)),mult(rd(A,X_14),X_14))
| mult(X_12,mult(mult(rd(A,X_14),rd(A,X_14)),X_14)) = mult(mult(X_12,rd(A,X_14)),A) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_14),X_14),A) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
mult(X_12,mult(mult(rd(A,X_14),rd(A,X_14)),X_14)) = mult(mult(X_12,rd(A,X_14)),A),
inference(resolve,[$cnf( $equal(mult(X_12,mult(mult(rd(A,X_14),rd(A,X_14)),X_14)),mult(mult(X_12,rd(A,X_14)),mult(rd(A,X_14),X_14))) )],[refute_0_113,refute_0_116]) ).
cnf(refute_0_118,plain,
mult(rd(A,A),mult(mult(rd(A,A),rd(A,A)),A)) = mult(mult(rd(A,A),rd(A,A)),A),
inference(subst,[],[refute_0_117:[bind(X_12,$fot(rd(A,A))),bind(X_14,$fot(A))]]) ).
cnf(refute_0_119,plain,
ld(A,mult(A,mult(mult(rd(X_27,X_29),rd(X_27,X_29)),X_29))) = mult(mult(rd(X_27,X_29),rd(X_27,X_29)),X_29),
inference(subst,[],[f02:[bind(B,$fot(mult(mult(rd(X_27,X_29),rd(X_27,X_29)),X_29)))]]) ).
cnf(refute_0_120,plain,
mult(A,mult(mult(rd(X_27,X_29),rd(X_27,X_29)),X_29)) = mult(mult(A,rd(X_27,X_29)),X_27),
inference(subst,[],[refute_0_117:[bind(A,$fot(X_27)),bind(X_12,$fot(A)),bind(X_14,$fot(X_29))]]) ).
cnf(refute_0_121,plain,
( ld(A,mult(A,mult(mult(rd(X_27,X_29),rd(X_27,X_29)),X_29))) != mult(mult(rd(X_27,X_29),rd(X_27,X_29)),X_29)
| mult(A,mult(mult(rd(X_27,X_29),rd(X_27,X_29)),X_29)) != mult(mult(A,rd(X_27,X_29)),X_27)
| ld(A,mult(mult(A,rd(X_27,X_29)),X_27)) = mult(mult(rd(X_27,X_29),rd(X_27,X_29)),X_29) ),
introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(A,mult(mult(rd(X_27,X_29),rd(X_27,X_29)),X_29))),mult(mult(rd(X_27,X_29),rd(X_27,X_29)),X_29)) ),[0,1],$fot(mult(mult(A,rd(X_27,X_29)),X_27))]]) ).
cnf(refute_0_122,plain,
( ld(A,mult(A,mult(mult(rd(X_27,X_29),rd(X_27,X_29)),X_29))) != mult(mult(rd(X_27,X_29),rd(X_27,X_29)),X_29)
| ld(A,mult(mult(A,rd(X_27,X_29)),X_27)) = mult(mult(rd(X_27,X_29),rd(X_27,X_29)),X_29) ),
inference(resolve,[$cnf( $equal(mult(A,mult(mult(rd(X_27,X_29),rd(X_27,X_29)),X_29)),mult(mult(A,rd(X_27,X_29)),X_27)) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
ld(A,mult(mult(A,rd(X_27,X_29)),X_27)) = mult(mult(rd(X_27,X_29),rd(X_27,X_29)),X_29),
inference(resolve,[$cnf( $equal(ld(A,mult(A,mult(mult(rd(X_27,X_29),rd(X_27,X_29)),X_29))),mult(mult(rd(X_27,X_29),rd(X_27,X_29)),X_29)) )],[refute_0_119,refute_0_122]) ).
cnf(refute_0_124,plain,
ld(X_54,mult(mult(X_54,rd(A,A)),A)) = mult(mult(rd(A,A),rd(A,A)),A),
inference(subst,[],[refute_0_123:[bind(A,$fot(X_54)),bind(X_27,$fot(A)),bind(X_29,$fot(A))]]) ).
cnf(refute_0_125,plain,
( ld(X_54,mult(mult(X_54,rd(A,A)),A)) != mult(mult(rd(A,A),rd(A,A)),A)
| mult(mult(rd(A,A),rd(A,A)),A) = ld(X_54,mult(mult(X_54,rd(A,A)),A)) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(ld(X_54,mult(mult(X_54,rd(A,A)),A)))),bind(Y,$fot(mult(mult(rd(A,A),rd(A,A)),A)))]]) ).
cnf(refute_0_126,plain,
mult(mult(rd(A,A),rd(A,A)),A) = ld(X_54,mult(mult(X_54,rd(A,A)),A)),
inference(resolve,[$cnf( $equal(ld(X_54,mult(mult(X_54,rd(A,A)),A)),mult(mult(rd(A,A),rd(A,A)),A)) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
( mult(mult(rd(A,A),rd(A,A)),A) != ld(X_54,mult(mult(X_54,rd(A,A)),A))
| mult(rd(A,A),mult(mult(rd(A,A),rd(A,A)),A)) != mult(mult(rd(A,A),rd(A,A)),A)
| mult(rd(A,A),mult(mult(rd(A,A),rd(A,A)),A)) = ld(X_54,mult(mult(X_54,rd(A,A)),A)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(A,A),mult(mult(rd(A,A),rd(A,A)),A)),mult(mult(rd(A,A),rd(A,A)),A)) ),[1],$fot(ld(X_54,mult(mult(X_54,rd(A,A)),A)))]]) ).
cnf(refute_0_128,plain,
( mult(rd(A,A),mult(mult(rd(A,A),rd(A,A)),A)) != mult(mult(rd(A,A),rd(A,A)),A)
| mult(rd(A,A),mult(mult(rd(A,A),rd(A,A)),A)) = ld(X_54,mult(mult(X_54,rd(A,A)),A)) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(A,A),rd(A,A)),A),ld(X_54,mult(mult(X_54,rd(A,A)),A))) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
mult(rd(A,A),mult(mult(rd(A,A),rd(A,A)),A)) = ld(X_54,mult(mult(X_54,rd(A,A)),A)),
inference(resolve,[$cnf( $equal(mult(rd(A,A),mult(mult(rd(A,A),rd(A,A)),A)),mult(mult(rd(A,A),rd(A,A)),A)) )],[refute_0_118,refute_0_128]) ).
cnf(refute_0_130,plain,
( ld(A,mult(mult(A,rd(X_27,X_29)),X_27)) != mult(mult(rd(X_27,X_29),rd(X_27,X_29)),X_29)
| mult(mult(rd(X_27,X_29),rd(X_27,X_29)),X_29) = ld(A,mult(mult(A,rd(X_27,X_29)),X_27)) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(ld(A,mult(mult(A,rd(X_27,X_29)),X_27)))),bind(Y,$fot(mult(mult(rd(X_27,X_29),rd(X_27,X_29)),X_29)))]]) ).
cnf(refute_0_131,plain,
mult(mult(rd(X_27,X_29),rd(X_27,X_29)),X_29) = ld(A,mult(mult(A,rd(X_27,X_29)),X_27)),
inference(resolve,[$cnf( $equal(ld(A,mult(mult(A,rd(X_27,X_29)),X_27)),mult(mult(rd(X_27,X_29),rd(X_27,X_29)),X_29)) )],[refute_0_123,refute_0_130]) ).
cnf(refute_0_132,plain,
mult(mult(rd(A,A),rd(A,A)),A) = ld(A,mult(mult(A,rd(A,A)),A)),
inference(subst,[],[refute_0_131:[bind(X_27,$fot(A)),bind(X_29,$fot(A))]]) ).
cnf(refute_0_133,plain,
( mult(mult(rd(A,A),rd(A,A)),A) != ld(A,mult(mult(A,rd(A,A)),A))
| mult(rd(A,A),mult(mult(rd(A,A),rd(A,A)),A)) != mult(mult(rd(A,A),rd(A,A)),A)
| mult(rd(A,A),mult(mult(rd(A,A),rd(A,A)),A)) = ld(A,mult(mult(A,rd(A,A)),A)) ),
inference(subst,[],[refute_0_65:[bind(X,$fot(mult(rd(A,A),mult(mult(rd(A,A),rd(A,A)),A)))),bind(Y,$fot(mult(mult(rd(A,A),rd(A,A)),A))),bind(Z,$fot(ld(A,mult(mult(A,rd(A,A)),A))))]]) ).
cnf(refute_0_134,plain,
( mult(mult(rd(A,A),rd(A,A)),A) != ld(A,mult(mult(A,rd(A,A)),A))
| mult(rd(A,A),mult(mult(rd(A,A),rd(A,A)),A)) = ld(A,mult(mult(A,rd(A,A)),A)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,A),mult(mult(rd(A,A),rd(A,A)),A)),mult(mult(rd(A,A),rd(A,A)),A)) )],[refute_0_118,refute_0_133]) ).
cnf(refute_0_135,plain,
mult(rd(A,A),mult(mult(rd(A,A),rd(A,A)),A)) = ld(A,mult(mult(A,rd(A,A)),A)),
inference(resolve,[$cnf( $equal(mult(mult(rd(A,A),rd(A,A)),A),ld(A,mult(mult(A,rd(A,A)),A))) )],[refute_0_132,refute_0_134]) ).
cnf(refute_0_136,plain,
( mult(rd(A,A),mult(mult(rd(A,A),rd(A,A)),A)) != ld(A,mult(mult(A,rd(A,A)),A))
| mult(rd(A,A),mult(mult(rd(A,A),rd(A,A)),A)) != ld(X_54,mult(mult(X_54,rd(A,A)),A))
| ld(A,mult(mult(A,rd(A,A)),A)) = ld(X_54,mult(mult(X_54,rd(A,A)),A)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(A,A),mult(mult(rd(A,A),rd(A,A)),A)),ld(X_54,mult(mult(X_54,rd(A,A)),A))) ),[0],$fot(ld(A,mult(mult(A,rd(A,A)),A)))]]) ).
cnf(refute_0_137,plain,
( mult(rd(A,A),mult(mult(rd(A,A),rd(A,A)),A)) != ld(X_54,mult(mult(X_54,rd(A,A)),A))
| ld(A,mult(mult(A,rd(A,A)),A)) = ld(X_54,mult(mult(X_54,rd(A,A)),A)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,A),mult(mult(rd(A,A),rd(A,A)),A)),ld(A,mult(mult(A,rd(A,A)),A))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
ld(A,mult(mult(A,rd(A,A)),A)) = ld(X_54,mult(mult(X_54,rd(A,A)),A)),
inference(resolve,[$cnf( $equal(mult(rd(A,A),mult(mult(rd(A,A),rd(A,A)),A)),ld(X_54,mult(mult(X_54,rd(A,A)),A))) )],[refute_0_129,refute_0_137]) ).
cnf(refute_0_139,plain,
ld(X_75,mult(mult(X_75,rd(X_75,X_75)),X_75)) = ld(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),mult(mult(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),rd(X_75,X_75)),X_75)),
inference(subst,[],[refute_0_138:[bind(A,$fot(X_75)),bind(X_54,$fot(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75)))))]]) ).
cnf(refute_0_140,plain,
ld(A,mult(mult(A,rd(X_27,rd(X_75,X_75))),X_27)) = mult(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),rd(X_75,X_75)),
inference(subst,[],[refute_0_123:[bind(X_29,$fot(rd(X_75,X_75)))]]) ).
cnf(refute_0_141,plain,
( ld(A,mult(mult(A,rd(X_27,rd(X_75,X_75))),X_27)) != mult(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),rd(X_75,X_75))
| mult(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),rd(X_75,X_75)) = ld(A,mult(mult(A,rd(X_27,rd(X_75,X_75))),X_27)) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(ld(A,mult(mult(A,rd(X_27,rd(X_75,X_75))),X_27)))),bind(Y,$fot(mult(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),rd(X_75,X_75))))]]) ).
cnf(refute_0_142,plain,
mult(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),rd(X_75,X_75)) = ld(A,mult(mult(A,rd(X_27,rd(X_75,X_75))),X_27)),
inference(resolve,[$cnf( $equal(ld(A,mult(mult(A,rd(X_27,rd(X_75,X_75))),X_27)),mult(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),rd(X_75,X_75))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
( ld(X_75,mult(mult(X_75,rd(X_75,X_75)),X_75)) != ld(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),mult(mult(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),rd(X_75,X_75)),X_75))
| mult(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),rd(X_75,X_75)) != ld(A,mult(mult(A,rd(X_27,rd(X_75,X_75))),X_27))
| ld(X_75,mult(mult(X_75,rd(X_75,X_75)),X_75)) = ld(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),mult(ld(A,mult(mult(A,rd(X_27,rd(X_75,X_75))),X_27)),X_75)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_75,mult(mult(X_75,rd(X_75,X_75)),X_75)),ld(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),mult(mult(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),rd(X_75,X_75)),X_75))) ),[1,1,0],$fot(ld(A,mult(mult(A,rd(X_27,rd(X_75,X_75))),X_27)))]]) ).
cnf(refute_0_144,plain,
( ld(X_75,mult(mult(X_75,rd(X_75,X_75)),X_75)) != ld(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),mult(mult(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),rd(X_75,X_75)),X_75))
| ld(X_75,mult(mult(X_75,rd(X_75,X_75)),X_75)) = ld(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),mult(ld(A,mult(mult(A,rd(X_27,rd(X_75,X_75))),X_27)),X_75)) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),rd(X_75,X_75)),ld(A,mult(mult(A,rd(X_27,rd(X_75,X_75))),X_27))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
ld(X_75,mult(mult(X_75,rd(X_75,X_75)),X_75)) = ld(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),mult(ld(A,mult(mult(A,rd(X_27,rd(X_75,X_75))),X_27)),X_75)),
inference(resolve,[$cnf( $equal(ld(X_75,mult(mult(X_75,rd(X_75,X_75)),X_75)),ld(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),mult(mult(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),rd(X_75,X_75)),X_75))) )],[refute_0_139,refute_0_144]) ).
cnf(refute_0_146,plain,
ld(A,mult(A,mult(mult(X_20,X_20),ld(X_20,X_18)))) = mult(mult(X_20,X_20),ld(X_20,X_18)),
inference(subst,[],[f02:[bind(B,$fot(mult(mult(X_20,X_20),ld(X_20,X_18))))]]) ).
cnf(refute_0_147,plain,
mult(A,mult(mult(X_20,X_20),ld(X_20,X_18))) = mult(mult(A,X_20),X_18),
inference(subst,[],[refute_0_4:[bind(B,$fot(X_18)),bind(X_12,$fot(A)),bind(X_13,$fot(X_20))]]) ).
cnf(refute_0_148,plain,
( ld(A,mult(A,mult(mult(X_20,X_20),ld(X_20,X_18)))) != mult(mult(X_20,X_20),ld(X_20,X_18))
| mult(A,mult(mult(X_20,X_20),ld(X_20,X_18))) != mult(mult(A,X_20),X_18)
| ld(A,mult(mult(A,X_20),X_18)) = mult(mult(X_20,X_20),ld(X_20,X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(A,mult(mult(X_20,X_20),ld(X_20,X_18)))),mult(mult(X_20,X_20),ld(X_20,X_18))) ),[0,1],$fot(mult(mult(A,X_20),X_18))]]) ).
cnf(refute_0_149,plain,
( ld(A,mult(A,mult(mult(X_20,X_20),ld(X_20,X_18)))) != mult(mult(X_20,X_20),ld(X_20,X_18))
| ld(A,mult(mult(A,X_20),X_18)) = mult(mult(X_20,X_20),ld(X_20,X_18)) ),
inference(resolve,[$cnf( $equal(mult(A,mult(mult(X_20,X_20),ld(X_20,X_18))),mult(mult(A,X_20),X_18)) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
ld(A,mult(mult(A,X_20),X_18)) = mult(mult(X_20,X_20),ld(X_20,X_18)),
inference(resolve,[$cnf( $equal(ld(A,mult(A,mult(mult(X_20,X_20),ld(X_20,X_18)))),mult(mult(X_20,X_20),ld(X_20,X_18))) )],[refute_0_146,refute_0_149]) ).
cnf(refute_0_151,plain,
ld(mult(X_62,X_62),mult(mult(mult(X_62,X_62),ld(X_62,X_61)),X_18)) = mult(mult(ld(X_62,X_61),ld(X_62,X_61)),ld(ld(X_62,X_61),X_18)),
inference(subst,[],[refute_0_150:[bind(A,$fot(mult(X_62,X_62))),bind(X_20,$fot(ld(X_62,X_61)))]]) ).
cnf(refute_0_152,plain,
ld(X_60,mult(mult(X_60,X_62),X_61)) = mult(mult(X_62,X_62),ld(X_62,X_61)),
inference(subst,[],[refute_0_150:[bind(A,$fot(X_60)),bind(X_18,$fot(X_61)),bind(X_20,$fot(X_62))]]) ).
cnf(refute_0_153,plain,
( ld(X_60,mult(mult(X_60,X_62),X_61)) != mult(mult(X_62,X_62),ld(X_62,X_61))
| mult(mult(X_62,X_62),ld(X_62,X_61)) = ld(X_60,mult(mult(X_60,X_62),X_61)) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(ld(X_60,mult(mult(X_60,X_62),X_61)))),bind(Y,$fot(mult(mult(X_62,X_62),ld(X_62,X_61))))]]) ).
cnf(refute_0_154,plain,
mult(mult(X_62,X_62),ld(X_62,X_61)) = ld(X_60,mult(mult(X_60,X_62),X_61)),
inference(resolve,[$cnf( $equal(ld(X_60,mult(mult(X_60,X_62),X_61)),mult(mult(X_62,X_62),ld(X_62,X_61))) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
( ld(mult(X_62,X_62),mult(mult(mult(X_62,X_62),ld(X_62,X_61)),X_18)) != mult(mult(ld(X_62,X_61),ld(X_62,X_61)),ld(ld(X_62,X_61),X_18))
| mult(mult(X_62,X_62),ld(X_62,X_61)) != ld(X_60,mult(mult(X_60,X_62),X_61))
| ld(mult(X_62,X_62),mult(ld(X_60,mult(mult(X_60,X_62),X_61)),X_18)) = mult(mult(ld(X_62,X_61),ld(X_62,X_61)),ld(ld(X_62,X_61),X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_62,X_62),mult(mult(mult(X_62,X_62),ld(X_62,X_61)),X_18)),mult(mult(ld(X_62,X_61),ld(X_62,X_61)),ld(ld(X_62,X_61),X_18))) ),[0,1,0],$fot(ld(X_60,mult(mult(X_60,X_62),X_61)))]]) ).
cnf(refute_0_156,plain,
( ld(mult(X_62,X_62),mult(mult(mult(X_62,X_62),ld(X_62,X_61)),X_18)) != mult(mult(ld(X_62,X_61),ld(X_62,X_61)),ld(ld(X_62,X_61),X_18))
| ld(mult(X_62,X_62),mult(ld(X_60,mult(mult(X_60,X_62),X_61)),X_18)) = mult(mult(ld(X_62,X_61),ld(X_62,X_61)),ld(ld(X_62,X_61),X_18)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_62,X_62),ld(X_62,X_61)),ld(X_60,mult(mult(X_60,X_62),X_61))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
ld(mult(X_62,X_62),mult(ld(X_60,mult(mult(X_60,X_62),X_61)),X_18)) = mult(mult(ld(X_62,X_61),ld(X_62,X_61)),ld(ld(X_62,X_61),X_18)),
inference(resolve,[$cnf( $equal(ld(mult(X_62,X_62),mult(mult(mult(X_62,X_62),ld(X_62,X_61)),X_18)),mult(mult(ld(X_62,X_61),ld(X_62,X_61)),ld(ld(X_62,X_61),X_18))) )],[refute_0_151,refute_0_156]) ).
cnf(refute_0_158,plain,
mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18)) = X_18,
inference(subst,[],[f01:[bind(A,$fot(ld(X_62,X_61))),bind(B,$fot(X_18))]]) ).
cnf(refute_0_159,plain,
mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18))) = mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18))),
introduced(tautology,[refl,[$fot(mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18))))]]) ).
cnf(refute_0_160,plain,
( mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18))) != mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18)))
| mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18)) != X_18
| mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18))) = mult(X_61,X_18) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18))),mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18)))) ),[1,1],$fot(X_18)]]) ).
cnf(refute_0_161,plain,
( mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18)) != X_18
| mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18))) = mult(X_61,X_18) ),
inference(resolve,[$cnf( $equal(mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18))),mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18)))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18))) = mult(X_61,X_18),
inference(resolve,[$cnf( $equal(mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18)),X_18) )],[refute_0_158,refute_0_161]) ).
cnf(refute_0_163,plain,
ld(X_62,mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18)))) = ld(X_62,mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18)))),
introduced(tautology,[refl,[$fot(ld(X_62,mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18)))))]]) ).
cnf(refute_0_164,plain,
( ld(X_62,mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18)))) != ld(X_62,mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18))))
| mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18))) != mult(X_61,X_18)
| ld(X_62,mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18)))) = ld(X_62,mult(X_61,X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_62,mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18)))),ld(X_62,mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18))))) ),[1,1],$fot(mult(X_61,X_18))]]) ).
cnf(refute_0_165,plain,
( mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18))) != mult(X_61,X_18)
| ld(X_62,mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18)))) = ld(X_62,mult(X_61,X_18)) ),
inference(resolve,[$cnf( $equal(ld(X_62,mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18)))),ld(X_62,mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18))))) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
ld(X_62,mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18)))) = ld(X_62,mult(X_61,X_18)),
inference(resolve,[$cnf( $equal(mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18))),mult(X_61,X_18)) )],[refute_0_162,refute_0_165]) ).
cnf(refute_0_167,plain,
ld(A,mult(A,mult(mult(ld(A,X_21),ld(A,X_21)),X_23))) = mult(mult(ld(A,X_21),ld(A,X_21)),X_23),
inference(subst,[],[f02:[bind(B,$fot(mult(mult(ld(A,X_21),ld(A,X_21)),X_23)))]]) ).
cnf(refute_0_168,plain,
mult(X_12,mult(mult(ld(X_12,B),ld(X_12,B)),X_14)) = mult(mult(X_12,ld(X_12,B)),mult(ld(X_12,B),X_14)),
inference(subst,[],[f05:[bind(A,$fot(X_12)),bind(B,$fot(ld(X_12,B))),bind(C,$fot(X_14))]]) ).
cnf(refute_0_169,plain,
mult(X_12,ld(X_12,B)) = B,
inference(subst,[],[f01:[bind(A,$fot(X_12))]]) ).
cnf(refute_0_170,plain,
( mult(X_12,ld(X_12,B)) != B
| mult(X_12,mult(mult(ld(X_12,B),ld(X_12,B)),X_14)) != mult(mult(X_12,ld(X_12,B)),mult(ld(X_12,B),X_14))
| mult(X_12,mult(mult(ld(X_12,B),ld(X_12,B)),X_14)) = mult(B,mult(ld(X_12,B),X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_12,mult(mult(ld(X_12,B),ld(X_12,B)),X_14)),mult(mult(X_12,ld(X_12,B)),mult(ld(X_12,B),X_14))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_171,plain,
( mult(X_12,mult(mult(ld(X_12,B),ld(X_12,B)),X_14)) != mult(mult(X_12,ld(X_12,B)),mult(ld(X_12,B),X_14))
| mult(X_12,mult(mult(ld(X_12,B),ld(X_12,B)),X_14)) = mult(B,mult(ld(X_12,B),X_14)) ),
inference(resolve,[$cnf( $equal(mult(X_12,ld(X_12,B)),B) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
mult(X_12,mult(mult(ld(X_12,B),ld(X_12,B)),X_14)) = mult(B,mult(ld(X_12,B),X_14)),
inference(resolve,[$cnf( $equal(mult(X_12,mult(mult(ld(X_12,B),ld(X_12,B)),X_14)),mult(mult(X_12,ld(X_12,B)),mult(ld(X_12,B),X_14))) )],[refute_0_168,refute_0_171]) ).
cnf(refute_0_173,plain,
mult(A,mult(mult(ld(A,X_21),ld(A,X_21)),X_23)) = mult(X_21,mult(ld(A,X_21),X_23)),
inference(subst,[],[refute_0_172:[bind(B,$fot(X_21)),bind(X_12,$fot(A)),bind(X_14,$fot(X_23))]]) ).
cnf(refute_0_174,plain,
( ld(A,mult(A,mult(mult(ld(A,X_21),ld(A,X_21)),X_23))) != mult(mult(ld(A,X_21),ld(A,X_21)),X_23)
| mult(A,mult(mult(ld(A,X_21),ld(A,X_21)),X_23)) != mult(X_21,mult(ld(A,X_21),X_23))
| ld(A,mult(X_21,mult(ld(A,X_21),X_23))) = mult(mult(ld(A,X_21),ld(A,X_21)),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(A,mult(mult(ld(A,X_21),ld(A,X_21)),X_23))),mult(mult(ld(A,X_21),ld(A,X_21)),X_23)) ),[0,1],$fot(mult(X_21,mult(ld(A,X_21),X_23)))]]) ).
cnf(refute_0_175,plain,
( ld(A,mult(A,mult(mult(ld(A,X_21),ld(A,X_21)),X_23))) != mult(mult(ld(A,X_21),ld(A,X_21)),X_23)
| ld(A,mult(X_21,mult(ld(A,X_21),X_23))) = mult(mult(ld(A,X_21),ld(A,X_21)),X_23) ),
inference(resolve,[$cnf( $equal(mult(A,mult(mult(ld(A,X_21),ld(A,X_21)),X_23)),mult(X_21,mult(ld(A,X_21),X_23))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
ld(A,mult(X_21,mult(ld(A,X_21),X_23))) = mult(mult(ld(A,X_21),ld(A,X_21)),X_23),
inference(resolve,[$cnf( $equal(ld(A,mult(A,mult(mult(ld(A,X_21),ld(A,X_21)),X_23))),mult(mult(ld(A,X_21),ld(A,X_21)),X_23)) )],[refute_0_167,refute_0_175]) ).
cnf(refute_0_177,plain,
( ld(A,mult(X_21,mult(ld(A,X_21),X_23))) != mult(mult(ld(A,X_21),ld(A,X_21)),X_23)
| mult(mult(ld(A,X_21),ld(A,X_21)),X_23) = ld(A,mult(X_21,mult(ld(A,X_21),X_23))) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(ld(A,mult(X_21,mult(ld(A,X_21),X_23))))),bind(Y,$fot(mult(mult(ld(A,X_21),ld(A,X_21)),X_23)))]]) ).
cnf(refute_0_178,plain,
mult(mult(ld(A,X_21),ld(A,X_21)),X_23) = ld(A,mult(X_21,mult(ld(A,X_21),X_23))),
inference(resolve,[$cnf( $equal(ld(A,mult(X_21,mult(ld(A,X_21),X_23))),mult(mult(ld(A,X_21),ld(A,X_21)),X_23)) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
mult(mult(ld(X_62,X_61),ld(X_62,X_61)),ld(ld(X_62,X_61),X_18)) = ld(X_62,mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18)))),
inference(subst,[],[refute_0_178:[bind(A,$fot(X_62)),bind(X_21,$fot(X_61)),bind(X_23,$fot(ld(ld(X_62,X_61),X_18)))]]) ).
cnf(refute_0_180,plain,
( ld(X_62,mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18)))) != ld(X_62,mult(X_61,X_18))
| mult(mult(ld(X_62,X_61),ld(X_62,X_61)),ld(ld(X_62,X_61),X_18)) != ld(X_62,mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18))))
| mult(mult(ld(X_62,X_61),ld(X_62,X_61)),ld(ld(X_62,X_61),X_18)) = ld(X_62,mult(X_61,X_18)) ),
inference(subst,[],[refute_0_65:[bind(X,$fot(mult(mult(ld(X_62,X_61),ld(X_62,X_61)),ld(ld(X_62,X_61),X_18)))),bind(Y,$fot(ld(X_62,mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18)))))),bind(Z,$fot(ld(X_62,mult(X_61,X_18))))]]) ).
cnf(refute_0_181,plain,
( ld(X_62,mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18)))) != ld(X_62,mult(X_61,X_18))
| mult(mult(ld(X_62,X_61),ld(X_62,X_61)),ld(ld(X_62,X_61),X_18)) = ld(X_62,mult(X_61,X_18)) ),
inference(resolve,[$cnf( $equal(mult(mult(ld(X_62,X_61),ld(X_62,X_61)),ld(ld(X_62,X_61),X_18)),ld(X_62,mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18))))) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
mult(mult(ld(X_62,X_61),ld(X_62,X_61)),ld(ld(X_62,X_61),X_18)) = ld(X_62,mult(X_61,X_18)),
inference(resolve,[$cnf( $equal(ld(X_62,mult(X_61,mult(ld(X_62,X_61),ld(ld(X_62,X_61),X_18)))),ld(X_62,mult(X_61,X_18))) )],[refute_0_166,refute_0_181]) ).
cnf(refute_0_183,plain,
( ld(mult(X_62,X_62),mult(ld(X_60,mult(mult(X_60,X_62),X_61)),X_18)) != mult(mult(ld(X_62,X_61),ld(X_62,X_61)),ld(ld(X_62,X_61),X_18))
| mult(mult(ld(X_62,X_61),ld(X_62,X_61)),ld(ld(X_62,X_61),X_18)) != ld(X_62,mult(X_61,X_18))
| ld(mult(X_62,X_62),mult(ld(X_60,mult(mult(X_60,X_62),X_61)),X_18)) = ld(X_62,mult(X_61,X_18)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(mult(X_62,X_62),mult(ld(X_60,mult(mult(X_60,X_62),X_61)),X_18)),ld(X_62,mult(X_61,X_18))) ),[0],$fot(mult(mult(ld(X_62,X_61),ld(X_62,X_61)),ld(ld(X_62,X_61),X_18)))]]) ).
cnf(refute_0_184,plain,
( ld(mult(X_62,X_62),mult(ld(X_60,mult(mult(X_60,X_62),X_61)),X_18)) != mult(mult(ld(X_62,X_61),ld(X_62,X_61)),ld(ld(X_62,X_61),X_18))
| ld(mult(X_62,X_62),mult(ld(X_60,mult(mult(X_60,X_62),X_61)),X_18)) = ld(X_62,mult(X_61,X_18)) ),
inference(resolve,[$cnf( $equal(mult(mult(ld(X_62,X_61),ld(X_62,X_61)),ld(ld(X_62,X_61),X_18)),ld(X_62,mult(X_61,X_18))) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
ld(mult(X_62,X_62),mult(ld(X_60,mult(mult(X_60,X_62),X_61)),X_18)) = ld(X_62,mult(X_61,X_18)),
inference(resolve,[$cnf( $equal(ld(mult(X_62,X_62),mult(ld(X_60,mult(mult(X_60,X_62),X_61)),X_18)),mult(mult(ld(X_62,X_61),ld(X_62,X_61)),ld(ld(X_62,X_61),X_18))) )],[refute_0_157,refute_0_184]) ).
cnf(refute_0_186,plain,
ld(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),mult(ld(A,mult(mult(A,rd(X_27,rd(X_75,X_75))),X_27)),X_75)) = ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75)),
inference(subst,[],[refute_0_185:[bind(X_18,$fot(X_75)),bind(X_60,$fot(A)),bind(X_61,$fot(X_27)),bind(X_62,$fot(rd(X_27,rd(X_75,X_75))))]]) ).
cnf(refute_0_187,plain,
( ld(X_75,mult(mult(X_75,rd(X_75,X_75)),X_75)) != ld(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),mult(ld(A,mult(mult(A,rd(X_27,rd(X_75,X_75))),X_27)),X_75))
| ld(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),mult(ld(A,mult(mult(A,rd(X_27,rd(X_75,X_75))),X_27)),X_75)) != ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75))
| ld(X_75,mult(mult(X_75,rd(X_75,X_75)),X_75)) = ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(X_75,mult(mult(X_75,rd(X_75,X_75)),X_75)),ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75))) ),[0],$fot(ld(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),mult(ld(A,mult(mult(A,rd(X_27,rd(X_75,X_75))),X_27)),X_75)))]]) ).
cnf(refute_0_188,plain,
( ld(X_75,mult(mult(X_75,rd(X_75,X_75)),X_75)) != ld(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),mult(ld(A,mult(mult(A,rd(X_27,rd(X_75,X_75))),X_27)),X_75))
| ld(X_75,mult(mult(X_75,rd(X_75,X_75)),X_75)) = ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75)) ),
inference(resolve,[$cnf( $equal(ld(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),mult(ld(A,mult(mult(A,rd(X_27,rd(X_75,X_75))),X_27)),X_75)),ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
ld(X_75,mult(mult(X_75,rd(X_75,X_75)),X_75)) = ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75)),
inference(resolve,[$cnf( $equal(ld(X_75,mult(mult(X_75,rd(X_75,X_75)),X_75)),ld(mult(rd(X_27,rd(X_75,X_75)),rd(X_27,rd(X_75,X_75))),mult(ld(A,mult(mult(A,rd(X_27,rd(X_75,X_75))),X_27)),X_75))) )],[refute_0_145,refute_0_188]) ).
cnf(refute_0_190,plain,
ld(X_27,mult(X_27,X_75)) = X_75,
inference(subst,[],[f02:[bind(A,$fot(X_27)),bind(B,$fot(X_75))]]) ).
cnf(refute_0_191,plain,
rd(mult(rd(A,mult(mult(X_16,X_16),X_17)),mult(mult(X_16,X_16),X_17)),mult(X_16,X_17)) = mult(rd(A,mult(mult(X_16,X_16),X_17)),X_16),
inference(subst,[],[refute_0_82:[bind(X_12,$fot(rd(A,mult(mult(X_16,X_16),X_17)))),bind(X_13,$fot(X_16)),bind(X_14,$fot(X_17))]]) ).
cnf(refute_0_192,plain,
mult(rd(A,mult(mult(X_16,X_16),X_17)),mult(mult(X_16,X_16),X_17)) = A,
inference(subst,[],[f03:[bind(B,$fot(mult(mult(X_16,X_16),X_17)))]]) ).
cnf(refute_0_193,plain,
( mult(rd(A,mult(mult(X_16,X_16),X_17)),mult(mult(X_16,X_16),X_17)) != A
| rd(mult(rd(A,mult(mult(X_16,X_16),X_17)),mult(mult(X_16,X_16),X_17)),mult(X_16,X_17)) != mult(rd(A,mult(mult(X_16,X_16),X_17)),X_16)
| rd(A,mult(X_16,X_17)) = mult(rd(A,mult(mult(X_16,X_16),X_17)),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(A,mult(mult(X_16,X_16),X_17)),mult(mult(X_16,X_16),X_17)),mult(X_16,X_17)),mult(rd(A,mult(mult(X_16,X_16),X_17)),X_16)) ),[0,0],$fot(A)]]) ).
cnf(refute_0_194,plain,
( rd(mult(rd(A,mult(mult(X_16,X_16),X_17)),mult(mult(X_16,X_16),X_17)),mult(X_16,X_17)) != mult(rd(A,mult(mult(X_16,X_16),X_17)),X_16)
| rd(A,mult(X_16,X_17)) = mult(rd(A,mult(mult(X_16,X_16),X_17)),X_16) ),
inference(resolve,[$cnf( $equal(mult(rd(A,mult(mult(X_16,X_16),X_17)),mult(mult(X_16,X_16),X_17)),A) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
rd(A,mult(X_16,X_17)) = mult(rd(A,mult(mult(X_16,X_16),X_17)),X_16),
inference(resolve,[$cnf( $equal(rd(mult(rd(A,mult(mult(X_16,X_16),X_17)),mult(mult(X_16,X_16),X_17)),mult(X_16,X_17)),mult(rd(A,mult(mult(X_16,X_16),X_17)),X_16)) )],[refute_0_191,refute_0_194]) ).
cnf(refute_0_196,plain,
rd(X_42,mult(X_43,mult(X_43,C))) = mult(rd(X_42,mult(mult(X_43,X_43),mult(X_43,C))),X_43),
inference(subst,[],[refute_0_195:[bind(A,$fot(X_42)),bind(X_16,$fot(X_43)),bind(X_17,$fot(mult(X_43,C)))]]) ).
cnf(refute_0_197,plain,
mult(X_43,mult(mult(X_43,X_43),C)) = mult(mult(X_43,X_43),mult(X_43,C)),
inference(subst,[],[f05:[bind(A,$fot(X_43)),bind(B,$fot(X_43))]]) ).
cnf(refute_0_198,plain,
( mult(X_43,mult(mult(X_43,X_43),C)) != mult(mult(X_43,X_43),mult(X_43,C))
| mult(mult(X_43,X_43),mult(X_43,C)) = mult(X_43,mult(mult(X_43,X_43),C)) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(mult(X_43,mult(mult(X_43,X_43),C)))),bind(Y,$fot(mult(mult(X_43,X_43),mult(X_43,C))))]]) ).
cnf(refute_0_199,plain,
mult(mult(X_43,X_43),mult(X_43,C)) = mult(X_43,mult(mult(X_43,X_43),C)),
inference(resolve,[$cnf( $equal(mult(X_43,mult(mult(X_43,X_43),C)),mult(mult(X_43,X_43),mult(X_43,C))) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
( mult(mult(X_43,X_43),mult(X_43,C)) != mult(X_43,mult(mult(X_43,X_43),C))
| rd(X_42,mult(X_43,mult(X_43,C))) != mult(rd(X_42,mult(mult(X_43,X_43),mult(X_43,C))),X_43)
| rd(X_42,mult(X_43,mult(X_43,C))) = mult(rd(X_42,mult(X_43,mult(mult(X_43,X_43),C))),X_43) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_42,mult(X_43,mult(X_43,C))),mult(rd(X_42,mult(mult(X_43,X_43),mult(X_43,C))),X_43)) ),[1,0,1],$fot(mult(X_43,mult(mult(X_43,X_43),C)))]]) ).
cnf(refute_0_201,plain,
( rd(X_42,mult(X_43,mult(X_43,C))) != mult(rd(X_42,mult(mult(X_43,X_43),mult(X_43,C))),X_43)
| rd(X_42,mult(X_43,mult(X_43,C))) = mult(rd(X_42,mult(X_43,mult(mult(X_43,X_43),C))),X_43) ),
inference(resolve,[$cnf( $equal(mult(mult(X_43,X_43),mult(X_43,C)),mult(X_43,mult(mult(X_43,X_43),C))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
rd(X_42,mult(X_43,mult(X_43,C))) = mult(rd(X_42,mult(X_43,mult(mult(X_43,X_43),C))),X_43),
inference(resolve,[$cnf( $equal(rd(X_42,mult(X_43,mult(X_43,C))),mult(rd(X_42,mult(mult(X_43,X_43),mult(X_43,C))),X_43)) )],[refute_0_196,refute_0_201]) ).
cnf(refute_0_203,plain,
rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))) = mult(rd(X_42,mult(X_43,mult(mult(X_43,X_43),ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))),X_43),
inference(subst,[],[refute_0_202:[bind(C,$fot(ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))]]) ).
cnf(refute_0_204,plain,
ld(X_137,X_137) = mult(mult(X_43,X_43),ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))),
inference(subst,[],[refute_0_105:[bind(X_89,$fot(X_137)),bind(X_90,$fot(mult(X_43,X_43)))]]) ).
cnf(refute_0_205,plain,
( ld(X_137,X_137) != mult(mult(X_43,X_43),ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)))
| mult(mult(X_43,X_43),ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))) = ld(X_137,X_137) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(ld(X_137,X_137))),bind(Y,$fot(mult(mult(X_43,X_43),ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)))))]]) ).
cnf(refute_0_206,plain,
mult(mult(X_43,X_43),ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))) = ld(X_137,X_137),
inference(resolve,[$cnf( $equal(ld(X_137,X_137),mult(mult(X_43,X_43),ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
( mult(mult(X_43,X_43),ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))) != ld(X_137,X_137)
| rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))) != mult(rd(X_42,mult(X_43,mult(mult(X_43,X_43),ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))),X_43)
| rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))) = mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))),mult(rd(X_42,mult(X_43,mult(mult(X_43,X_43),ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))),X_43)) ),[1,0,1,1],$fot(ld(X_137,X_137))]]) ).
cnf(refute_0_208,plain,
( rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))) != mult(rd(X_42,mult(X_43,mult(mult(X_43,X_43),ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))),X_43)
| rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))) = mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43) ),
inference(resolve,[$cnf( $equal(mult(mult(X_43,X_43),ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))),ld(X_137,X_137)) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))) = mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43),
inference(resolve,[$cnf( $equal(rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))),mult(rd(X_42,mult(X_43,mult(mult(X_43,X_43),ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))),X_43)) )],[refute_0_203,refute_0_208]) ).
cnf(refute_0_210,plain,
mult(rd(A,X_13),mult(mult(X_13,X_13),ld(mult(X_13,X_13),X_48))) = mult(A,mult(X_13,ld(mult(X_13,X_13),X_48))),
inference(subst,[],[refute_0_10:[bind(X_14,$fot(ld(mult(X_13,X_13),X_48)))]]) ).
cnf(refute_0_211,plain,
ld(rd(X_4,B),mult(rd(X_4,B),B)) = B,
inference(subst,[],[f02:[bind(A,$fot(rd(X_4,B)))]]) ).
cnf(refute_0_212,plain,
mult(rd(X_4,B),B) = X_4,
inference(subst,[],[f03:[bind(A,$fot(X_4))]]) ).
cnf(refute_0_213,plain,
( ld(rd(X_4,B),mult(rd(X_4,B),B)) != B
| mult(rd(X_4,B),B) != X_4
| ld(rd(X_4,B),X_4) = B ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_4,B),mult(rd(X_4,B),B)),B) ),[0,1],$fot(X_4)]]) ).
cnf(refute_0_214,plain,
( ld(rd(X_4,B),mult(rd(X_4,B),B)) != B
| ld(rd(X_4,B),X_4) = B ),
inference(resolve,[$cnf( $equal(mult(rd(X_4,B),B),X_4) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
ld(rd(X_4,B),X_4) = B,
inference(resolve,[$cnf( $equal(ld(rd(X_4,B),mult(rd(X_4,B),B)),B) )],[refute_0_211,refute_0_214]) ).
cnf(refute_0_216,plain,
ld(rd(mult(X_25,X_24),mult(X_26,ld(mult(X_26,X_26),X_24))),mult(X_25,X_24)) = mult(X_26,ld(mult(X_26,X_26),X_24)),
inference(subst,[],[refute_0_215:[bind(B,$fot(mult(X_26,ld(mult(X_26,X_26),X_24)))),bind(X_4,$fot(mult(X_25,X_24)))]]) ).
cnf(refute_0_217,plain,
rd(mult(X_25,X_24),mult(X_26,ld(mult(X_26,X_26),X_24))) = mult(X_25,X_26),
inference(subst,[],[refute_0_87:[bind(B,$fot(X_24)),bind(X_15,$fot(X_25)),bind(X_16,$fot(X_26))]]) ).
cnf(refute_0_218,plain,
( ld(rd(mult(X_25,X_24),mult(X_26,ld(mult(X_26,X_26),X_24))),mult(X_25,X_24)) != mult(X_26,ld(mult(X_26,X_26),X_24))
| rd(mult(X_25,X_24),mult(X_26,ld(mult(X_26,X_26),X_24))) != mult(X_25,X_26)
| ld(mult(X_25,X_26),mult(X_25,X_24)) = mult(X_26,ld(mult(X_26,X_26),X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(mult(X_25,X_24),mult(X_26,ld(mult(X_26,X_26),X_24))),mult(X_25,X_24)),mult(X_26,ld(mult(X_26,X_26),X_24))) ),[0,0],$fot(mult(X_25,X_26))]]) ).
cnf(refute_0_219,plain,
( ld(rd(mult(X_25,X_24),mult(X_26,ld(mult(X_26,X_26),X_24))),mult(X_25,X_24)) != mult(X_26,ld(mult(X_26,X_26),X_24))
| ld(mult(X_25,X_26),mult(X_25,X_24)) = mult(X_26,ld(mult(X_26,X_26),X_24)) ),
inference(resolve,[$cnf( $equal(rd(mult(X_25,X_24),mult(X_26,ld(mult(X_26,X_26),X_24))),mult(X_25,X_26)) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
ld(mult(X_25,X_26),mult(X_25,X_24)) = mult(X_26,ld(mult(X_26,X_26),X_24)),
inference(resolve,[$cnf( $equal(ld(rd(mult(X_25,X_24),mult(X_26,ld(mult(X_26,X_26),X_24))),mult(X_25,X_24)),mult(X_26,ld(mult(X_26,X_26),X_24))) )],[refute_0_216,refute_0_219]) ).
cnf(refute_0_221,plain,
ld(mult(X_49,X_13),mult(X_49,X_48)) = mult(X_13,ld(mult(X_13,X_13),X_48)),
inference(subst,[],[refute_0_220:[bind(X_24,$fot(X_48)),bind(X_25,$fot(X_49)),bind(X_26,$fot(X_13))]]) ).
cnf(refute_0_222,plain,
( ld(mult(X_49,X_13),mult(X_49,X_48)) != mult(X_13,ld(mult(X_13,X_13),X_48))
| mult(X_13,ld(mult(X_13,X_13),X_48)) = ld(mult(X_49,X_13),mult(X_49,X_48)) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(ld(mult(X_49,X_13),mult(X_49,X_48)))),bind(Y,$fot(mult(X_13,ld(mult(X_13,X_13),X_48))))]]) ).
cnf(refute_0_223,plain,
mult(X_13,ld(mult(X_13,X_13),X_48)) = ld(mult(X_49,X_13),mult(X_49,X_48)),
inference(resolve,[$cnf( $equal(ld(mult(X_49,X_13),mult(X_49,X_48)),mult(X_13,ld(mult(X_13,X_13),X_48))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
( mult(X_13,ld(mult(X_13,X_13),X_48)) != ld(mult(X_49,X_13),mult(X_49,X_48))
| mult(rd(A,X_13),mult(mult(X_13,X_13),ld(mult(X_13,X_13),X_48))) != mult(A,mult(X_13,ld(mult(X_13,X_13),X_48)))
| mult(rd(A,X_13),mult(mult(X_13,X_13),ld(mult(X_13,X_13),X_48))) = mult(A,ld(mult(X_49,X_13),mult(X_49,X_48))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(A,X_13),mult(mult(X_13,X_13),ld(mult(X_13,X_13),X_48))),mult(A,mult(X_13,ld(mult(X_13,X_13),X_48)))) ),[1,1],$fot(ld(mult(X_49,X_13),mult(X_49,X_48)))]]) ).
cnf(refute_0_225,plain,
( mult(rd(A,X_13),mult(mult(X_13,X_13),ld(mult(X_13,X_13),X_48))) != mult(A,mult(X_13,ld(mult(X_13,X_13),X_48)))
| mult(rd(A,X_13),mult(mult(X_13,X_13),ld(mult(X_13,X_13),X_48))) = mult(A,ld(mult(X_49,X_13),mult(X_49,X_48))) ),
inference(resolve,[$cnf( $equal(mult(X_13,ld(mult(X_13,X_13),X_48)),ld(mult(X_49,X_13),mult(X_49,X_48))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
mult(rd(A,X_13),mult(mult(X_13,X_13),ld(mult(X_13,X_13),X_48))) = mult(A,ld(mult(X_49,X_13),mult(X_49,X_48))),
inference(resolve,[$cnf( $equal(mult(rd(A,X_13),mult(mult(X_13,X_13),ld(mult(X_13,X_13),X_48))),mult(A,mult(X_13,ld(mult(X_13,X_13),X_48)))) )],[refute_0_210,refute_0_225]) ).
cnf(refute_0_227,plain,
mult(A,mult(X_13,ld(mult(X_13,X_13),X_48))) = mult(rd(A,X_13),X_48),
inference(subst,[],[refute_0_54:[bind(B,$fot(X_48)),bind(X_33,$fot(A)),bind(X_34,$fot(X_13))]]) ).
cnf(refute_0_228,plain,
( mult(A,mult(X_13,ld(mult(X_13,X_13),X_48))) != mult(rd(A,X_13),X_48)
| mult(rd(A,X_13),mult(mult(X_13,X_13),ld(mult(X_13,X_13),X_48))) != mult(A,mult(X_13,ld(mult(X_13,X_13),X_48)))
| mult(rd(A,X_13),mult(mult(X_13,X_13),ld(mult(X_13,X_13),X_48))) = mult(rd(A,X_13),X_48) ),
inference(subst,[],[refute_0_65:[bind(X,$fot(mult(rd(A,X_13),mult(mult(X_13,X_13),ld(mult(X_13,X_13),X_48))))),bind(Y,$fot(mult(A,mult(X_13,ld(mult(X_13,X_13),X_48))))),bind(Z,$fot(mult(rd(A,X_13),X_48)))]]) ).
cnf(refute_0_229,plain,
( mult(A,mult(X_13,ld(mult(X_13,X_13),X_48))) != mult(rd(A,X_13),X_48)
| mult(rd(A,X_13),mult(mult(X_13,X_13),ld(mult(X_13,X_13),X_48))) = mult(rd(A,X_13),X_48) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_13),mult(mult(X_13,X_13),ld(mult(X_13,X_13),X_48))),mult(A,mult(X_13,ld(mult(X_13,X_13),X_48)))) )],[refute_0_210,refute_0_228]) ).
cnf(refute_0_230,plain,
mult(rd(A,X_13),mult(mult(X_13,X_13),ld(mult(X_13,X_13),X_48))) = mult(rd(A,X_13),X_48),
inference(resolve,[$cnf( $equal(mult(A,mult(X_13,ld(mult(X_13,X_13),X_48))),mult(rd(A,X_13),X_48)) )],[refute_0_227,refute_0_229]) ).
cnf(refute_0_231,plain,
( mult(rd(A,X_13),mult(mult(X_13,X_13),ld(mult(X_13,X_13),X_48))) != mult(A,ld(mult(X_49,X_13),mult(X_49,X_48)))
| mult(rd(A,X_13),mult(mult(X_13,X_13),ld(mult(X_13,X_13),X_48))) != mult(rd(A,X_13),X_48)
| mult(rd(A,X_13),X_48) = mult(A,ld(mult(X_49,X_13),mult(X_49,X_48))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(A,X_13),mult(mult(X_13,X_13),ld(mult(X_13,X_13),X_48))),mult(A,ld(mult(X_49,X_13),mult(X_49,X_48)))) ),[0],$fot(mult(rd(A,X_13),X_48))]]) ).
cnf(refute_0_232,plain,
( mult(rd(A,X_13),mult(mult(X_13,X_13),ld(mult(X_13,X_13),X_48))) != mult(A,ld(mult(X_49,X_13),mult(X_49,X_48)))
| mult(rd(A,X_13),X_48) = mult(A,ld(mult(X_49,X_13),mult(X_49,X_48))) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_13),mult(mult(X_13,X_13),ld(mult(X_13,X_13),X_48))),mult(rd(A,X_13),X_48)) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
mult(rd(A,X_13),X_48) = mult(A,ld(mult(X_49,X_13),mult(X_49,X_48))),
inference(resolve,[$cnf( $equal(mult(rd(A,X_13),mult(mult(X_13,X_13),ld(mult(X_13,X_13),X_48))),mult(A,ld(mult(X_49,X_13),mult(X_49,X_48)))) )],[refute_0_226,refute_0_232]) ).
cnf(refute_0_234,plain,
( mult(rd(A,X_13),X_48) != mult(A,ld(mult(X_49,X_13),mult(X_49,X_48)))
| mult(A,ld(mult(X_49,X_13),mult(X_49,X_48))) = mult(rd(A,X_13),X_48) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(mult(rd(A,X_13),X_48))),bind(Y,$fot(mult(A,ld(mult(X_49,X_13),mult(X_49,X_48)))))]]) ).
cnf(refute_0_235,plain,
mult(A,ld(mult(X_49,X_13),mult(X_49,X_48))) = mult(rd(A,X_13),X_48),
inference(resolve,[$cnf( $equal(mult(rd(A,X_13),X_48),mult(A,ld(mult(X_49,X_13),mult(X_49,X_48)))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
mult(X_43,ld(mult(X_43,mult(X_43,mult(X_43,X_43))),mult(X_43,X_43))) = mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43),
inference(subst,[],[refute_0_235:[bind(A,$fot(X_43)),bind(X_13,$fot(mult(X_43,mult(X_43,X_43)))),bind(X_48,$fot(X_43)),bind(X_49,$fot(X_43))]]) ).
cnf(refute_0_237,plain,
mult(rd(mult(X_123,mult(B,B)),B),B) = mult(X_123,mult(B,B)),
inference(subst,[],[f03:[bind(A,$fot(mult(X_123,mult(B,B))))]]) ).
cnf(refute_0_238,plain,
rd(mult(X_15,mult(mult(X_16,X_16),mult(X_16,C))),mult(X_16,mult(X_16,C))) = mult(X_15,X_16),
inference(subst,[],[refute_0_82:[bind(X_12,$fot(X_15)),bind(X_13,$fot(X_16)),bind(X_14,$fot(mult(X_16,C)))]]) ).
cnf(refute_0_239,plain,
mult(X_16,mult(mult(X_16,X_16),C)) = mult(mult(X_16,X_16),mult(X_16,C)),
inference(subst,[],[f05:[bind(A,$fot(X_16)),bind(B,$fot(X_16))]]) ).
cnf(refute_0_240,plain,
( mult(X_16,mult(mult(X_16,X_16),C)) != mult(mult(X_16,X_16),mult(X_16,C))
| mult(mult(X_16,X_16),mult(X_16,C)) = mult(X_16,mult(mult(X_16,X_16),C)) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(mult(X_16,mult(mult(X_16,X_16),C)))),bind(Y,$fot(mult(mult(X_16,X_16),mult(X_16,C))))]]) ).
cnf(refute_0_241,plain,
mult(mult(X_16,X_16),mult(X_16,C)) = mult(X_16,mult(mult(X_16,X_16),C)),
inference(resolve,[$cnf( $equal(mult(X_16,mult(mult(X_16,X_16),C)),mult(mult(X_16,X_16),mult(X_16,C))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
( mult(mult(X_16,X_16),mult(X_16,C)) != mult(X_16,mult(mult(X_16,X_16),C))
| rd(mult(X_15,mult(mult(X_16,X_16),mult(X_16,C))),mult(X_16,mult(X_16,C))) != mult(X_15,X_16)
| rd(mult(X_15,mult(X_16,mult(mult(X_16,X_16),C))),mult(X_16,mult(X_16,C))) = mult(X_15,X_16) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_15,mult(mult(X_16,X_16),mult(X_16,C))),mult(X_16,mult(X_16,C))),mult(X_15,X_16)) ),[0,0,1],$fot(mult(X_16,mult(mult(X_16,X_16),C)))]]) ).
cnf(refute_0_243,plain,
( rd(mult(X_15,mult(mult(X_16,X_16),mult(X_16,C))),mult(X_16,mult(X_16,C))) != mult(X_15,X_16)
| rd(mult(X_15,mult(X_16,mult(mult(X_16,X_16),C))),mult(X_16,mult(X_16,C))) = mult(X_15,X_16) ),
inference(resolve,[$cnf( $equal(mult(mult(X_16,X_16),mult(X_16,C)),mult(X_16,mult(mult(X_16,X_16),C))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
rd(mult(X_15,mult(X_16,mult(mult(X_16,X_16),C))),mult(X_16,mult(X_16,C))) = mult(X_15,X_16),
inference(resolve,[$cnf( $equal(rd(mult(X_15,mult(mult(X_16,X_16),mult(X_16,C))),mult(X_16,mult(X_16,C))),mult(X_15,X_16)) )],[refute_0_238,refute_0_243]) ).
cnf(refute_0_245,plain,
rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(X_47,mult(X_47,ld(mult(X_47,X_47),B)))) = mult(X_46,X_47),
inference(subst,[],[refute_0_244:[bind(C,$fot(ld(mult(X_47,X_47),B))),bind(X_15,$fot(X_46)),bind(X_16,$fot(X_47))]]) ).
cnf(refute_0_246,plain,
mult(rd(X_47,X_47),B) = mult(X_47,mult(X_47,ld(mult(X_47,X_47),B))),
inference(subst,[],[refute_0_52:[bind(X_33,$fot(X_47)),bind(X_34,$fot(X_47))]]) ).
cnf(refute_0_247,plain,
( mult(rd(X_47,X_47),B) != mult(X_47,mult(X_47,ld(mult(X_47,X_47),B)))
| mult(X_47,mult(X_47,ld(mult(X_47,X_47),B))) = mult(rd(X_47,X_47),B) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(mult(rd(X_47,X_47),B))),bind(Y,$fot(mult(X_47,mult(X_47,ld(mult(X_47,X_47),B)))))]]) ).
cnf(refute_0_248,plain,
mult(X_47,mult(X_47,ld(mult(X_47,X_47),B))) = mult(rd(X_47,X_47),B),
inference(resolve,[$cnf( $equal(mult(rd(X_47,X_47),B),mult(X_47,mult(X_47,ld(mult(X_47,X_47),B)))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
( mult(X_47,mult(X_47,ld(mult(X_47,X_47),B))) != mult(rd(X_47,X_47),B)
| rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(X_47,mult(X_47,ld(mult(X_47,X_47),B)))) != mult(X_46,X_47)
| rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(rd(X_47,X_47),B)) = mult(X_46,X_47) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(X_47,mult(X_47,ld(mult(X_47,X_47),B)))),mult(X_46,X_47)) ),[0,1],$fot(mult(rd(X_47,X_47),B))]]) ).
cnf(refute_0_250,plain,
( rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(X_47,mult(X_47,ld(mult(X_47,X_47),B)))) != mult(X_46,X_47)
| rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(rd(X_47,X_47),B)) = mult(X_46,X_47) ),
inference(resolve,[$cnf( $equal(mult(X_47,mult(X_47,ld(mult(X_47,X_47),B))),mult(rd(X_47,X_47),B)) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(rd(X_47,X_47),B)) = mult(X_46,X_47),
inference(resolve,[$cnf( $equal(rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(X_47,mult(X_47,ld(mult(X_47,X_47),B)))),mult(X_46,X_47)) )],[refute_0_245,refute_0_250]) ).
cnf(refute_0_252,plain,
mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)) = B,
inference(subst,[],[f01:[bind(A,$fot(mult(X_47,X_47)))]]) ).
cnf(refute_0_253,plain,
mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B))) = mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B))),
introduced(tautology,[refl,[$fot(mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B))))]]) ).
cnf(refute_0_254,plain,
( mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B))) != mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))
| mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)) != B
| mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B))) = mult(X_47,B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B))),mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_255,plain,
( mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)) != B
| mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B))) = mult(X_47,B) ),
inference(resolve,[$cnf( $equal(mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B))),mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B))) = mult(X_47,B),
inference(resolve,[$cnf( $equal(mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)),B) )],[refute_0_252,refute_0_255]) ).
cnf(refute_0_257,plain,
mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))) = mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),
introduced(tautology,[refl,[$fot(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))))]]) ).
cnf(refute_0_258,plain,
( mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))) != mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B))))
| mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B))) != mult(X_47,B)
| mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))) = mult(X_46,mult(X_47,B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B))))) ),[1,1],$fot(mult(X_47,B))]]) ).
cnf(refute_0_259,plain,
( mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B))) != mult(X_47,B)
| mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))) = mult(X_46,mult(X_47,B)) ),
inference(resolve,[$cnf( $equal(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B))))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))) = mult(X_46,mult(X_47,B)),
inference(resolve,[$cnf( $equal(mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B))),mult(X_47,B)) )],[refute_0_256,refute_0_259]) ).
cnf(refute_0_261,plain,
rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(rd(X_47,X_47),B)) = rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(rd(X_47,X_47),B)),
introduced(tautology,[refl,[$fot(rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(rd(X_47,X_47),B)))]]) ).
cnf(refute_0_262,plain,
( mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))) != mult(X_46,mult(X_47,B))
| rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(rd(X_47,X_47),B)) != rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(rd(X_47,X_47),B))
| rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(rd(X_47,X_47),B)) = rd(mult(X_46,mult(X_47,B)),mult(rd(X_47,X_47),B)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(rd(X_47,X_47),B)),rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(rd(X_47,X_47),B))) ),[1,0],$fot(mult(X_46,mult(X_47,B)))]]) ).
cnf(refute_0_263,plain,
( mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))) != mult(X_46,mult(X_47,B))
| rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(rd(X_47,X_47),B)) = rd(mult(X_46,mult(X_47,B)),mult(rd(X_47,X_47),B)) ),
inference(resolve,[$cnf( $equal(rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(rd(X_47,X_47),B)),rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(rd(X_47,X_47),B))) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(rd(X_47,X_47),B)) = rd(mult(X_46,mult(X_47,B)),mult(rd(X_47,X_47),B)),
inference(resolve,[$cnf( $equal(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(X_46,mult(X_47,B))) )],[refute_0_260,refute_0_263]) ).
cnf(refute_0_265,plain,
( rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(rd(X_47,X_47),B)) != mult(X_46,X_47)
| rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(rd(X_47,X_47),B)) != rd(mult(X_46,mult(X_47,B)),mult(rd(X_47,X_47),B))
| rd(mult(X_46,mult(X_47,B)),mult(rd(X_47,X_47),B)) = mult(X_46,X_47) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(rd(X_47,X_47),B)),mult(X_46,X_47)) ),[0],$fot(rd(mult(X_46,mult(X_47,B)),mult(rd(X_47,X_47),B)))]]) ).
cnf(refute_0_266,plain,
( rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(rd(X_47,X_47),B)) != mult(X_46,X_47)
| rd(mult(X_46,mult(X_47,B)),mult(rd(X_47,X_47),B)) = mult(X_46,X_47) ),
inference(resolve,[$cnf( $equal(rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(rd(X_47,X_47),B)),rd(mult(X_46,mult(X_47,B)),mult(rd(X_47,X_47),B))) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
rd(mult(X_46,mult(X_47,B)),mult(rd(X_47,X_47),B)) = mult(X_46,X_47),
inference(resolve,[$cnf( $equal(rd(mult(X_46,mult(X_47,mult(mult(X_47,X_47),ld(mult(X_47,X_47),B)))),mult(rd(X_47,X_47),B)),mult(X_46,X_47)) )],[refute_0_251,refute_0_266]) ).
cnf(refute_0_268,plain,
rd(mult(X_120,mult(X_119,X_119)),mult(rd(X_119,X_119),X_119)) = mult(X_120,X_119),
inference(subst,[],[refute_0_267:[bind(B,$fot(X_119)),bind(X_46,$fot(X_120)),bind(X_47,$fot(X_119))]]) ).
cnf(refute_0_269,plain,
mult(rd(X_119,X_119),X_119) = X_119,
inference(subst,[],[f03:[bind(A,$fot(X_119)),bind(B,$fot(X_119))]]) ).
cnf(refute_0_270,plain,
( mult(rd(X_119,X_119),X_119) != X_119
| rd(mult(X_120,mult(X_119,X_119)),mult(rd(X_119,X_119),X_119)) != mult(X_120,X_119)
| rd(mult(X_120,mult(X_119,X_119)),X_119) = mult(X_120,X_119) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_120,mult(X_119,X_119)),mult(rd(X_119,X_119),X_119)),mult(X_120,X_119)) ),[0,1],$fot(X_119)]]) ).
cnf(refute_0_271,plain,
( rd(mult(X_120,mult(X_119,X_119)),mult(rd(X_119,X_119),X_119)) != mult(X_120,X_119)
| rd(mult(X_120,mult(X_119,X_119)),X_119) = mult(X_120,X_119) ),
inference(resolve,[$cnf( $equal(mult(rd(X_119,X_119),X_119),X_119) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
rd(mult(X_120,mult(X_119,X_119)),X_119) = mult(X_120,X_119),
inference(resolve,[$cnf( $equal(rd(mult(X_120,mult(X_119,X_119)),mult(rd(X_119,X_119),X_119)),mult(X_120,X_119)) )],[refute_0_268,refute_0_271]) ).
cnf(refute_0_273,plain,
rd(mult(X_123,mult(B,B)),B) = mult(X_123,B),
inference(subst,[],[refute_0_272:[bind(X_119,$fot(B)),bind(X_120,$fot(X_123))]]) ).
cnf(refute_0_274,plain,
( mult(rd(mult(X_123,mult(B,B)),B),B) != mult(X_123,mult(B,B))
| rd(mult(X_123,mult(B,B)),B) != mult(X_123,B)
| mult(mult(X_123,B),B) = mult(X_123,mult(B,B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_123,mult(B,B)),B),B),mult(X_123,mult(B,B))) ),[0,0],$fot(mult(X_123,B))]]) ).
cnf(refute_0_275,plain,
( mult(rd(mult(X_123,mult(B,B)),B),B) != mult(X_123,mult(B,B))
| mult(mult(X_123,B),B) = mult(X_123,mult(B,B)) ),
inference(resolve,[$cnf( $equal(rd(mult(X_123,mult(B,B)),B),mult(X_123,B)) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
mult(mult(X_123,B),B) = mult(X_123,mult(B,B)),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_123,mult(B,B)),B),B),mult(X_123,mult(B,B))) )],[refute_0_237,refute_0_275]) ).
cnf(refute_0_277,plain,
mult(mult(X_43,X_43),X_43) = mult(X_43,mult(X_43,X_43)),
inference(subst,[],[refute_0_276:[bind(B,$fot(X_43)),bind(X_123,$fot(X_43))]]) ).
cnf(refute_0_278,plain,
mult(X_43,mult(mult(X_43,X_43),X_43)) = mult(X_43,mult(mult(X_43,X_43),X_43)),
introduced(tautology,[refl,[$fot(mult(X_43,mult(mult(X_43,X_43),X_43)))]]) ).
cnf(refute_0_279,plain,
( mult(X_43,mult(mult(X_43,X_43),X_43)) != mult(X_43,mult(mult(X_43,X_43),X_43))
| mult(mult(X_43,X_43),X_43) != mult(X_43,mult(X_43,X_43))
| mult(X_43,mult(mult(X_43,X_43),X_43)) = mult(X_43,mult(X_43,mult(X_43,X_43))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_43,mult(mult(X_43,X_43),X_43)),mult(X_43,mult(mult(X_43,X_43),X_43))) ),[1,1],$fot(mult(X_43,mult(X_43,X_43)))]]) ).
cnf(refute_0_280,plain,
( mult(mult(X_43,X_43),X_43) != mult(X_43,mult(X_43,X_43))
| mult(X_43,mult(mult(X_43,X_43),X_43)) = mult(X_43,mult(X_43,mult(X_43,X_43))) ),
inference(resolve,[$cnf( $equal(mult(X_43,mult(mult(X_43,X_43),X_43)),mult(X_43,mult(mult(X_43,X_43),X_43))) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
mult(X_43,mult(mult(X_43,X_43),X_43)) = mult(X_43,mult(X_43,mult(X_43,X_43))),
inference(resolve,[$cnf( $equal(mult(mult(X_43,X_43),X_43),mult(X_43,mult(X_43,X_43))) )],[refute_0_277,refute_0_280]) ).
cnf(refute_0_282,plain,
( mult(A,mult(mult(B,B),C)) != mult(mult(A,B),mult(B,C))
| mult(mult(A,B),mult(B,C)) = mult(A,mult(mult(B,B),C)) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(mult(A,mult(mult(B,B),C)))),bind(Y,$fot(mult(mult(A,B),mult(B,C))))]]) ).
cnf(refute_0_283,plain,
mult(mult(A,B),mult(B,C)) = mult(A,mult(mult(B,B),C)),
inference(resolve,[$cnf( $equal(mult(A,mult(mult(B,B),C)),mult(mult(A,B),mult(B,C))) )],[f05,refute_0_282]) ).
cnf(refute_0_284,plain,
mult(mult(X_43,X_43),mult(X_43,X_43)) = mult(X_43,mult(mult(X_43,X_43),X_43)),
inference(subst,[],[refute_0_283:[bind(A,$fot(X_43)),bind(B,$fot(X_43)),bind(C,$fot(X_43))]]) ).
cnf(refute_0_285,plain,
( mult(X_43,mult(mult(X_43,X_43),X_43)) != mult(X_43,mult(X_43,mult(X_43,X_43)))
| mult(mult(X_43,X_43),mult(X_43,X_43)) != mult(X_43,mult(mult(X_43,X_43),X_43))
| mult(mult(X_43,X_43),mult(X_43,X_43)) = mult(X_43,mult(X_43,mult(X_43,X_43))) ),
inference(subst,[],[refute_0_65:[bind(X,$fot(mult(mult(X_43,X_43),mult(X_43,X_43)))),bind(Y,$fot(mult(X_43,mult(mult(X_43,X_43),X_43)))),bind(Z,$fot(mult(X_43,mult(X_43,mult(X_43,X_43)))))]]) ).
cnf(refute_0_286,plain,
( mult(X_43,mult(mult(X_43,X_43),X_43)) != mult(X_43,mult(X_43,mult(X_43,X_43)))
| mult(mult(X_43,X_43),mult(X_43,X_43)) = mult(X_43,mult(X_43,mult(X_43,X_43))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,mult(mult(X_43,X_43),X_43))) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
mult(mult(X_43,X_43),mult(X_43,X_43)) = mult(X_43,mult(X_43,mult(X_43,X_43))),
inference(resolve,[$cnf( $equal(mult(X_43,mult(mult(X_43,X_43),X_43)),mult(X_43,mult(X_43,mult(X_43,X_43)))) )],[refute_0_281,refute_0_286]) ).
cnf(refute_0_288,plain,
ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)) = ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)),
introduced(tautology,[refl,[$fot(ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)))]]) ).
cnf(refute_0_289,plain,
( ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)) != ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))
| mult(mult(X_43,X_43),mult(X_43,X_43)) != mult(X_43,mult(X_43,mult(X_43,X_43)))
| ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)) = ld(mult(X_43,mult(X_43,mult(X_43,X_43))),mult(X_43,X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)),ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))) ),[1,0],$fot(mult(X_43,mult(X_43,mult(X_43,X_43))))]]) ).
cnf(refute_0_290,plain,
( mult(mult(X_43,X_43),mult(X_43,X_43)) != mult(X_43,mult(X_43,mult(X_43,X_43)))
| ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)) = ld(mult(X_43,mult(X_43,mult(X_43,X_43))),mult(X_43,X_43)) ),
inference(resolve,[$cnf( $equal(ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)),ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)) = ld(mult(X_43,mult(X_43,mult(X_43,X_43))),mult(X_43,X_43)),
inference(resolve,[$cnf( $equal(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,mult(X_43,mult(X_43,X_43)))) )],[refute_0_287,refute_0_290]) ).
cnf(refute_0_292,plain,
mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))) = mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))),
introduced(tautology,[refl,[$fot(mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))]]) ).
cnf(refute_0_293,plain,
( ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)) != ld(mult(X_43,mult(X_43,mult(X_43,X_43))),mult(X_43,X_43))
| mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))) != mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)))
| mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))) = mult(X_43,ld(mult(X_43,mult(X_43,mult(X_43,X_43))),mult(X_43,X_43))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))),mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)))) ),[1,1],$fot(ld(mult(X_43,mult(X_43,mult(X_43,X_43))),mult(X_43,X_43)))]]) ).
cnf(refute_0_294,plain,
( ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)) != ld(mult(X_43,mult(X_43,mult(X_43,X_43))),mult(X_43,X_43))
| mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))) = mult(X_43,ld(mult(X_43,mult(X_43,mult(X_43,X_43))),mult(X_43,X_43))) ),
inference(resolve,[$cnf( $equal(mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))),mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))) = mult(X_43,ld(mult(X_43,mult(X_43,mult(X_43,X_43))),mult(X_43,X_43))),
inference(resolve,[$cnf( $equal(ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)),ld(mult(X_43,mult(X_43,mult(X_43,X_43))),mult(X_43,X_43))) )],[refute_0_291,refute_0_294]) ).
cnf(refute_0_296,plain,
( mult(X_43,ld(mult(X_43,mult(X_43,mult(X_43,X_43))),mult(X_43,X_43))) != mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43)
| mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))) != mult(X_43,ld(mult(X_43,mult(X_43,mult(X_43,X_43))),mult(X_43,X_43)))
| mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))) = mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43) ),
inference(subst,[],[refute_0_65:[bind(X,$fot(mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))),bind(Y,$fot(mult(X_43,ld(mult(X_43,mult(X_43,mult(X_43,X_43))),mult(X_43,X_43))))),bind(Z,$fot(mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43)))]]) ).
cnf(refute_0_297,plain,
( mult(X_43,ld(mult(X_43,mult(X_43,mult(X_43,X_43))),mult(X_43,X_43))) != mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43)
| mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))) = mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43) ),
inference(resolve,[$cnf( $equal(mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))),mult(X_43,ld(mult(X_43,mult(X_43,mult(X_43,X_43))),mult(X_43,X_43)))) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))) = mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43),
inference(resolve,[$cnf( $equal(mult(X_43,ld(mult(X_43,mult(X_43,mult(X_43,X_43))),mult(X_43,X_43))),mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43)) )],[refute_0_236,refute_0_297]) ).
cnf(refute_0_299,plain,
mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)))) = mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)))),
introduced(tautology,[refl,[$fot(mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)))))]]) ).
cnf(refute_0_300,plain,
( mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))) != mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43)
| mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)))) != mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))
| mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)))) = mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)))),mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))) ),[1,1],$fot(mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))]]) ).
cnf(refute_0_301,plain,
( mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))) != mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43)
| mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)))) = mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43)) ),
inference(resolve,[$cnf( $equal(mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)))),mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)))) = mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43)),
inference(resolve,[$cnf( $equal(mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))),mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43)) )],[refute_0_298,refute_0_301]) ).
cnf(refute_0_303,plain,
rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))) = rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))),
introduced(tautology,[refl,[$fot(rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))))]]) ).
cnf(refute_0_304,plain,
( mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)))) != mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))
| rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))) != rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)))))
| rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))) = rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))),rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)))))) ),[1,1],$fot(mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43)))]]) ).
cnf(refute_0_305,plain,
( mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)))) != mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))
| rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))) = rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))) ),
inference(resolve,[$cnf( $equal(rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))),rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)))))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))) = rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))),
inference(resolve,[$cnf( $equal(mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43)))),mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))) )],[refute_0_302,refute_0_305]) ).
cnf(refute_0_307,plain,
( rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))) != mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43)
| rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))) != rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43)))
| rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))) = mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))),mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43)) ),[0],$fot(rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))))]]) ).
cnf(refute_0_308,plain,
( rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))) != mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43)
| rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))) = mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43) ),
inference(resolve,[$cnf( $equal(rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))),rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43)))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
mult(rd(X_42,X_43),X_43) = X_42,
inference(subst,[],[f03:[bind(A,$fot(X_42)),bind(B,$fot(X_43))]]) ).
cnf(refute_0_310,plain,
mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18)))) = mult(mult(A,B),mult(B,mult(mult(X_20,X_20),ld(X_20,X_18)))),
inference(subst,[],[f05:[bind(C,$fot(mult(mult(X_20,X_20),ld(X_20,X_18))))]]) ).
cnf(refute_0_311,plain,
mult(B,mult(mult(X_20,X_20),ld(X_20,X_18))) = mult(mult(B,X_20),X_18),
inference(subst,[],[refute_0_4:[bind(B,$fot(X_18)),bind(X_12,$fot(B)),bind(X_13,$fot(X_20))]]) ).
cnf(refute_0_312,plain,
( mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18)))) != mult(mult(A,B),mult(B,mult(mult(X_20,X_20),ld(X_20,X_18))))
| mult(B,mult(mult(X_20,X_20),ld(X_20,X_18))) != mult(mult(B,X_20),X_18)
| mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18)))) = mult(mult(A,B),mult(mult(B,X_20),X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18)))),mult(mult(A,B),mult(B,mult(mult(X_20,X_20),ld(X_20,X_18))))) ),[1,1],$fot(mult(mult(B,X_20),X_18))]]) ).
cnf(refute_0_313,plain,
( mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18)))) != mult(mult(A,B),mult(B,mult(mult(X_20,X_20),ld(X_20,X_18))))
| mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18)))) = mult(mult(A,B),mult(mult(B,X_20),X_18)) ),
inference(resolve,[$cnf( $equal(mult(B,mult(mult(X_20,X_20),ld(X_20,X_18))),mult(mult(B,X_20),X_18)) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18)))) = mult(mult(A,B),mult(mult(B,X_20),X_18)),
inference(resolve,[$cnf( $equal(mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18)))),mult(mult(A,B),mult(B,mult(mult(X_20,X_20),ld(X_20,X_18))))) )],[refute_0_310,refute_0_313]) ).
cnf(refute_0_315,plain,
mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18))) = mult(mult(mult(B,B),X_20),X_18),
inference(subst,[],[refute_0_4:[bind(B,$fot(X_18)),bind(X_12,$fot(mult(B,B))),bind(X_13,$fot(X_20))]]) ).
cnf(refute_0_316,plain,
mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18)))) = mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18)))),
introduced(tautology,[refl,[$fot(mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18)))))]]) ).
cnf(refute_0_317,plain,
( mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18)))) != mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18))))
| mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18))) != mult(mult(mult(B,B),X_20),X_18)
| mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18)))) = mult(A,mult(mult(mult(B,B),X_20),X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18)))),mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18))))) ),[1,1],$fot(mult(mult(mult(B,B),X_20),X_18))]]) ).
cnf(refute_0_318,plain,
( mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18))) != mult(mult(mult(B,B),X_20),X_18)
| mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18)))) = mult(A,mult(mult(mult(B,B),X_20),X_18)) ),
inference(resolve,[$cnf( $equal(mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18)))),mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18))))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18)))) = mult(A,mult(mult(mult(B,B),X_20),X_18)),
inference(resolve,[$cnf( $equal(mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18))),mult(mult(mult(B,B),X_20),X_18)) )],[refute_0_315,refute_0_318]) ).
cnf(refute_0_320,plain,
( mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18)))) != mult(A,mult(mult(mult(B,B),X_20),X_18))
| mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18)))) != mult(mult(A,B),mult(mult(B,X_20),X_18))
| mult(A,mult(mult(mult(B,B),X_20),X_18)) = mult(mult(A,B),mult(mult(B,X_20),X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18)))),mult(mult(A,B),mult(mult(B,X_20),X_18))) ),[0],$fot(mult(A,mult(mult(mult(B,B),X_20),X_18)))]]) ).
cnf(refute_0_321,plain,
( mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18)))) != mult(mult(A,B),mult(mult(B,X_20),X_18))
| mult(A,mult(mult(mult(B,B),X_20),X_18)) = mult(mult(A,B),mult(mult(B,X_20),X_18)) ),
inference(resolve,[$cnf( $equal(mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18)))),mult(A,mult(mult(mult(B,B),X_20),X_18))) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
mult(A,mult(mult(mult(B,B),X_20),X_18)) = mult(mult(A,B),mult(mult(B,X_20),X_18)),
inference(resolve,[$cnf( $equal(mult(A,mult(mult(B,B),mult(mult(X_20,X_20),ld(X_20,X_18)))),mult(mult(A,B),mult(mult(B,X_20),X_18))) )],[refute_0_314,refute_0_321]) ).
cnf(refute_0_323,plain,
mult(A,mult(mult(mult(B,B),X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))) = mult(mult(A,B),mult(mult(B,X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))),
inference(subst,[],[refute_0_322:[bind(X_18,$fot(ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20))))]]) ).
cnf(refute_0_324,plain,
ld(X_137,X_137) = mult(mult(mult(B,B),X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20))),
inference(subst,[],[refute_0_105:[bind(X_89,$fot(X_137)),bind(X_90,$fot(mult(mult(B,B),X_20)))]]) ).
cnf(refute_0_325,plain,
( ld(X_137,X_137) != mult(mult(mult(B,B),X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))
| mult(mult(mult(B,B),X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20))) = ld(X_137,X_137) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(ld(X_137,X_137))),bind(Y,$fot(mult(mult(mult(B,B),X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))))]]) ).
cnf(refute_0_326,plain,
mult(mult(mult(B,B),X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20))) = ld(X_137,X_137),
inference(resolve,[$cnf( $equal(ld(X_137,X_137),mult(mult(mult(B,B),X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
( mult(A,mult(mult(mult(B,B),X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))) != mult(mult(A,B),mult(mult(B,X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20))))
| mult(mult(mult(B,B),X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20))) != ld(X_137,X_137)
| mult(A,ld(X_137,X_137)) = mult(mult(A,B),mult(mult(B,X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,mult(mult(mult(B,B),X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))),mult(mult(A,B),mult(mult(B,X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20))))) ),[0,1],$fot(ld(X_137,X_137))]]) ).
cnf(refute_0_328,plain,
( mult(A,mult(mult(mult(B,B),X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))) != mult(mult(A,B),mult(mult(B,X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20))))
| mult(A,ld(X_137,X_137)) = mult(mult(A,B),mult(mult(B,X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(B,B),X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20))),ld(X_137,X_137)) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
mult(A,ld(X_137,X_137)) = mult(mult(A,B),mult(mult(B,X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))),
inference(resolve,[$cnf( $equal(mult(A,mult(mult(mult(B,B),X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))),mult(mult(A,B),mult(mult(B,X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20))))) )],[refute_0_323,refute_0_328]) ).
cnf(refute_0_330,plain,
mult(rd(rd(mult(A,B),B),mult(B,X_20)),mult(B,X_20)) = rd(mult(A,B),B),
inference(subst,[],[f03:[bind(A,$fot(rd(mult(A,B),B))),bind(B,$fot(mult(B,X_20)))]]) ).
cnf(refute_0_331,plain,
( mult(rd(rd(mult(A,B),B),mult(B,X_20)),mult(B,X_20)) != rd(mult(A,B),B)
| rd(mult(A,B),B) != A
| mult(rd(rd(mult(A,B),B),mult(B,X_20)),mult(B,X_20)) = A ),
inference(subst,[],[refute_0_65:[bind(X,$fot(mult(rd(rd(mult(A,B),B),mult(B,X_20)),mult(B,X_20)))),bind(Y,$fot(rd(mult(A,B),B))),bind(Z,$fot(A))]]) ).
cnf(refute_0_332,plain,
( rd(mult(A,B),B) != A
| mult(rd(rd(mult(A,B),B),mult(B,X_20)),mult(B,X_20)) = A ),
inference(resolve,[$cnf( $equal(mult(rd(rd(mult(A,B),B),mult(B,X_20)),mult(B,X_20)),rd(mult(A,B),B)) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
mult(rd(rd(mult(A,B),B),mult(B,X_20)),mult(B,X_20)) = A,
inference(resolve,[$cnf( $equal(rd(mult(A,B),B),A) )],[f04,refute_0_332]) ).
cnf(refute_0_334,plain,
mult(rd(X_42,mult(mult(B,B),X_44)),mult(mult(B,B),C)) = mult(mult(rd(X_42,mult(mult(B,B),X_44)),B),mult(B,C)),
inference(subst,[],[f05:[bind(A,$fot(rd(X_42,mult(mult(B,B),X_44))))]]) ).
cnf(refute_0_335,plain,
rd(X_42,mult(B,X_44)) = mult(rd(X_42,mult(mult(B,B),X_44)),B),
inference(subst,[],[refute_0_195:[bind(A,$fot(X_42)),bind(X_16,$fot(B)),bind(X_17,$fot(X_44))]]) ).
cnf(refute_0_336,plain,
( rd(X_42,mult(B,X_44)) != mult(rd(X_42,mult(mult(B,B),X_44)),B)
| mult(rd(X_42,mult(mult(B,B),X_44)),B) = rd(X_42,mult(B,X_44)) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(rd(X_42,mult(B,X_44)))),bind(Y,$fot(mult(rd(X_42,mult(mult(B,B),X_44)),B)))]]) ).
cnf(refute_0_337,plain,
mult(rd(X_42,mult(mult(B,B),X_44)),B) = rd(X_42,mult(B,X_44)),
inference(resolve,[$cnf( $equal(rd(X_42,mult(B,X_44)),mult(rd(X_42,mult(mult(B,B),X_44)),B)) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
( mult(rd(X_42,mult(mult(B,B),X_44)),B) != rd(X_42,mult(B,X_44))
| mult(rd(X_42,mult(mult(B,B),X_44)),mult(mult(B,B),C)) != mult(mult(rd(X_42,mult(mult(B,B),X_44)),B),mult(B,C))
| mult(rd(X_42,mult(mult(B,B),X_44)),mult(mult(B,B),C)) = mult(rd(X_42,mult(B,X_44)),mult(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_42,mult(mult(B,B),X_44)),mult(mult(B,B),C)),mult(mult(rd(X_42,mult(mult(B,B),X_44)),B),mult(B,C))) ),[1,0],$fot(rd(X_42,mult(B,X_44)))]]) ).
cnf(refute_0_339,plain,
( mult(rd(X_42,mult(mult(B,B),X_44)),mult(mult(B,B),C)) != mult(mult(rd(X_42,mult(mult(B,B),X_44)),B),mult(B,C))
| mult(rd(X_42,mult(mult(B,B),X_44)),mult(mult(B,B),C)) = mult(rd(X_42,mult(B,X_44)),mult(B,C)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_42,mult(mult(B,B),X_44)),B),rd(X_42,mult(B,X_44))) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
mult(rd(X_42,mult(mult(B,B),X_44)),mult(mult(B,B),C)) = mult(rd(X_42,mult(B,X_44)),mult(B,C)),
inference(resolve,[$cnf( $equal(mult(rd(X_42,mult(mult(B,B),X_44)),mult(mult(B,B),C)),mult(mult(rd(X_42,mult(mult(B,B),X_44)),B),mult(B,C))) )],[refute_0_334,refute_0_339]) ).
cnf(refute_0_341,plain,
mult(rd(rd(mult(A,B),B),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)) = mult(rd(rd(mult(A,B),B),mult(B,X_20)),mult(B,X_20)),
inference(subst,[],[refute_0_340:[bind(C,$fot(X_20)),bind(X_42,$fot(rd(mult(A,B),B))),bind(X_44,$fot(X_20))]]) ).
cnf(refute_0_342,plain,
( mult(rd(rd(mult(A,B),B),mult(B,X_20)),mult(B,X_20)) != A
| mult(rd(rd(mult(A,B),B),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)) != mult(rd(rd(mult(A,B),B),mult(B,X_20)),mult(B,X_20))
| mult(rd(rd(mult(A,B),B),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)) = A ),
inference(subst,[],[refute_0_65:[bind(X,$fot(mult(rd(rd(mult(A,B),B),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))),bind(Y,$fot(mult(rd(rd(mult(A,B),B),mult(B,X_20)),mult(B,X_20)))),bind(Z,$fot(A))]]) ).
cnf(refute_0_343,plain,
( mult(rd(rd(mult(A,B),B),mult(B,X_20)),mult(B,X_20)) != A
| mult(rd(rd(mult(A,B),B),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)) = A ),
inference(resolve,[$cnf( $equal(mult(rd(rd(mult(A,B),B),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)),mult(rd(rd(mult(A,B),B),mult(B,X_20)),mult(B,X_20))) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
mult(rd(rd(mult(A,B),B),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)) = A,
inference(resolve,[$cnf( $equal(mult(rd(rd(mult(A,B),B),mult(B,X_20)),mult(B,X_20)),A) )],[refute_0_333,refute_0_343]) ).
cnf(refute_0_345,plain,
mult(rd(rd(X_114,X_115),mult(mult(X_115,X_115),X_113)),B) = mult(rd(X_114,X_115),mult(mult(mult(X_115,X_115),X_113),ld(mult(mult(mult(X_115,X_115),X_113),mult(mult(X_115,X_115),X_113)),B))),
inference(subst,[],[refute_0_52:[bind(X_33,$fot(rd(X_114,X_115))),bind(X_34,$fot(mult(mult(X_115,X_115),X_113)))]]) ).
cnf(refute_0_346,plain,
mult(rd(X_114,X_115),mult(mult(mult(X_115,X_115),X_113),ld(mult(mult(mult(X_115,X_115),X_113),mult(mult(X_115,X_115),X_113)),B))) = mult(X_114,mult(mult(X_115,X_113),ld(mult(mult(mult(X_115,X_115),X_113),mult(mult(X_115,X_115),X_113)),B))),
inference(subst,[],[refute_0_23:[bind(B,$fot(ld(mult(mult(mult(X_115,X_115),X_113),mult(mult(X_115,X_115),X_113)),B))),bind(X_13,$fot(X_113)),bind(X_33,$fot(X_114)),bind(X_34,$fot(X_115))]]) ).
cnf(refute_0_347,plain,
( mult(rd(X_114,X_115),mult(mult(mult(X_115,X_115),X_113),ld(mult(mult(mult(X_115,X_115),X_113),mult(mult(X_115,X_115),X_113)),B))) != mult(X_114,mult(mult(X_115,X_113),ld(mult(mult(mult(X_115,X_115),X_113),mult(mult(X_115,X_115),X_113)),B)))
| mult(rd(rd(X_114,X_115),mult(mult(X_115,X_115),X_113)),B) != mult(rd(X_114,X_115),mult(mult(mult(X_115,X_115),X_113),ld(mult(mult(mult(X_115,X_115),X_113),mult(mult(X_115,X_115),X_113)),B)))
| mult(rd(rd(X_114,X_115),mult(mult(X_115,X_115),X_113)),B) = mult(X_114,mult(mult(X_115,X_113),ld(mult(mult(mult(X_115,X_115),X_113),mult(mult(X_115,X_115),X_113)),B))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(X_114,X_115),mult(mult(X_115,X_115),X_113)),B),mult(rd(X_114,X_115),mult(mult(mult(X_115,X_115),X_113),ld(mult(mult(mult(X_115,X_115),X_113),mult(mult(X_115,X_115),X_113)),B)))) ),[1],$fot(mult(X_114,mult(mult(X_115,X_113),ld(mult(mult(mult(X_115,X_115),X_113),mult(mult(X_115,X_115),X_113)),B))))]]) ).
cnf(refute_0_348,plain,
( mult(rd(rd(X_114,X_115),mult(mult(X_115,X_115),X_113)),B) != mult(rd(X_114,X_115),mult(mult(mult(X_115,X_115),X_113),ld(mult(mult(mult(X_115,X_115),X_113),mult(mult(X_115,X_115),X_113)),B)))
| mult(rd(rd(X_114,X_115),mult(mult(X_115,X_115),X_113)),B) = mult(X_114,mult(mult(X_115,X_113),ld(mult(mult(mult(X_115,X_115),X_113),mult(mult(X_115,X_115),X_113)),B))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_114,X_115),mult(mult(mult(X_115,X_115),X_113),ld(mult(mult(mult(X_115,X_115),X_113),mult(mult(X_115,X_115),X_113)),B))),mult(X_114,mult(mult(X_115,X_113),ld(mult(mult(mult(X_115,X_115),X_113),mult(mult(X_115,X_115),X_113)),B)))) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
mult(rd(rd(X_114,X_115),mult(mult(X_115,X_115),X_113)),B) = mult(X_114,mult(mult(X_115,X_113),ld(mult(mult(mult(X_115,X_115),X_113),mult(mult(X_115,X_115),X_113)),B))),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_114,X_115),mult(mult(X_115,X_115),X_113)),B),mult(rd(X_114,X_115),mult(mult(mult(X_115,X_115),X_113),ld(mult(mult(mult(X_115,X_115),X_113),mult(mult(X_115,X_115),X_113)),B)))) )],[refute_0_345,refute_0_348]) ).
cnf(refute_0_350,plain,
( mult(rd(rd(X_114,X_115),mult(mult(X_115,X_115),X_113)),B) != mult(X_114,mult(mult(X_115,X_113),ld(mult(mult(mult(X_115,X_115),X_113),mult(mult(X_115,X_115),X_113)),B)))
| mult(X_114,mult(mult(X_115,X_113),ld(mult(mult(mult(X_115,X_115),X_113),mult(mult(X_115,X_115),X_113)),B))) = mult(rd(rd(X_114,X_115),mult(mult(X_115,X_115),X_113)),B) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(mult(rd(rd(X_114,X_115),mult(mult(X_115,X_115),X_113)),B))),bind(Y,$fot(mult(X_114,mult(mult(X_115,X_113),ld(mult(mult(mult(X_115,X_115),X_113),mult(mult(X_115,X_115),X_113)),B)))))]]) ).
cnf(refute_0_351,plain,
mult(X_114,mult(mult(X_115,X_113),ld(mult(mult(mult(X_115,X_115),X_113),mult(mult(X_115,X_115),X_113)),B))) = mult(rd(rd(X_114,X_115),mult(mult(X_115,X_115),X_113)),B),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_114,X_115),mult(mult(X_115,X_115),X_113)),B),mult(X_114,mult(mult(X_115,X_113),ld(mult(mult(mult(X_115,X_115),X_113),mult(mult(X_115,X_115),X_113)),B)))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
mult(mult(A,B),mult(mult(B,X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))) = mult(rd(rd(mult(A,B),B),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)),
inference(subst,[],[refute_0_351:[bind(B,$fot(mult(mult(B,B),X_20))),bind(X_113,$fot(X_20)),bind(X_114,$fot(mult(A,B))),bind(X_115,$fot(B))]]) ).
cnf(refute_0_353,plain,
( mult(mult(A,B),mult(mult(B,X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))) != mult(rd(rd(mult(A,B),B),mult(mult(B,B),X_20)),mult(mult(B,B),X_20))
| mult(rd(rd(mult(A,B),B),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)) != A
| mult(mult(A,B),mult(mult(B,X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))) = A ),
inference(subst,[],[refute_0_65:[bind(X,$fot(mult(mult(A,B),mult(mult(B,X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))))),bind(Y,$fot(mult(rd(rd(mult(A,B),B),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))),bind(Z,$fot(A))]]) ).
cnf(refute_0_354,plain,
( mult(rd(rd(mult(A,B),B),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)) != A
| mult(mult(A,B),mult(mult(B,X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))) = A ),
inference(resolve,[$cnf( $equal(mult(mult(A,B),mult(mult(B,X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))),mult(rd(rd(mult(A,B),B),mult(mult(B,B),X_20)),mult(mult(B,B),X_20))) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
mult(mult(A,B),mult(mult(B,X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))) = A,
inference(resolve,[$cnf( $equal(mult(rd(rd(mult(A,B),B),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)),A) )],[refute_0_344,refute_0_354]) ).
cnf(refute_0_356,plain,
( mult(A,ld(X_137,X_137)) != mult(mult(A,B),mult(mult(B,X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20))))
| mult(mult(A,B),mult(mult(B,X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))) != A
| mult(A,ld(X_137,X_137)) = A ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(A,ld(X_137,X_137)),A) ),[0],$fot(mult(mult(A,B),mult(mult(B,X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))))]]) ).
cnf(refute_0_357,plain,
( mult(A,ld(X_137,X_137)) != mult(mult(A,B),mult(mult(B,X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20))))
| mult(A,ld(X_137,X_137)) = A ),
inference(resolve,[$cnf( $equal(mult(mult(A,B),mult(mult(B,X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20)))),A) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
mult(A,ld(X_137,X_137)) = A,
inference(resolve,[$cnf( $equal(mult(A,ld(X_137,X_137)),mult(mult(A,B),mult(mult(B,X_20),ld(mult(mult(mult(B,B),X_20),mult(mult(B,B),X_20)),mult(mult(B,B),X_20))))) )],[refute_0_329,refute_0_357]) ).
cnf(refute_0_359,plain,
mult(X_43,ld(X_137,X_137)) = X_43,
inference(subst,[],[refute_0_358:[bind(A,$fot(X_43))]]) ).
cnf(refute_0_360,plain,
rd(X_42,mult(X_43,ld(X_137,X_137))) = rd(X_42,mult(X_43,ld(X_137,X_137))),
introduced(tautology,[refl,[$fot(rd(X_42,mult(X_43,ld(X_137,X_137))))]]) ).
cnf(refute_0_361,plain,
( mult(X_43,ld(X_137,X_137)) != X_43
| rd(X_42,mult(X_43,ld(X_137,X_137))) != rd(X_42,mult(X_43,ld(X_137,X_137)))
| rd(X_42,mult(X_43,ld(X_137,X_137))) = rd(X_42,X_43) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_42,mult(X_43,ld(X_137,X_137))),rd(X_42,mult(X_43,ld(X_137,X_137)))) ),[1,1],$fot(X_43)]]) ).
cnf(refute_0_362,plain,
( mult(X_43,ld(X_137,X_137)) != X_43
| rd(X_42,mult(X_43,ld(X_137,X_137))) = rd(X_42,X_43) ),
inference(resolve,[$cnf( $equal(rd(X_42,mult(X_43,ld(X_137,X_137))),rd(X_42,mult(X_43,ld(X_137,X_137)))) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
rd(X_42,mult(X_43,ld(X_137,X_137))) = rd(X_42,X_43),
inference(resolve,[$cnf( $equal(mult(X_43,ld(X_137,X_137)),X_43) )],[refute_0_359,refute_0_362]) ).
cnf(refute_0_364,plain,
mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43) = mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43),
introduced(tautology,[refl,[$fot(mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43))]]) ).
cnf(refute_0_365,plain,
( mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43) != mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43)
| rd(X_42,mult(X_43,ld(X_137,X_137))) != rd(X_42,X_43)
| mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43) = mult(rd(X_42,X_43),X_43) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43),mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43)) ),[1,0],$fot(rd(X_42,X_43))]]) ).
cnf(refute_0_366,plain,
( rd(X_42,mult(X_43,ld(X_137,X_137))) != rd(X_42,X_43)
| mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43) = mult(rd(X_42,X_43),X_43) ),
inference(resolve,[$cnf( $equal(mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43),mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43)) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43) = mult(rd(X_42,X_43),X_43),
inference(resolve,[$cnf( $equal(rd(X_42,mult(X_43,ld(X_137,X_137))),rd(X_42,X_43)) )],[refute_0_363,refute_0_366]) ).
cnf(refute_0_368,plain,
( mult(rd(X_42,X_43),X_43) != X_42
| mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43) != mult(rd(X_42,X_43),X_43)
| mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43) = X_42 ),
inference(subst,[],[refute_0_65:[bind(X,$fot(mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43))),bind(Y,$fot(mult(rd(X_42,X_43),X_43))),bind(Z,$fot(X_42))]]) ).
cnf(refute_0_369,plain,
( mult(rd(X_42,X_43),X_43) != X_42
| mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43) = X_42 ),
inference(resolve,[$cnf( $equal(mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43),mult(rd(X_42,X_43),X_43)) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43) = X_42,
inference(resolve,[$cnf( $equal(mult(rd(X_42,X_43),X_43),X_42) )],[refute_0_309,refute_0_369]) ).
cnf(refute_0_371,plain,
( mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43) != X_42
| rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))) != mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43)
| rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))) = X_42 ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))),mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43)) ),[1],$fot(X_42)]]) ).
cnf(refute_0_372,plain,
( rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))) != mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43)
| rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))) = X_42 ),
inference(resolve,[$cnf( $equal(mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43),X_42) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
( rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))) != mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43)
| rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))) = X_42 ),
inference(resolve,[$cnf( $equal(rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))),mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43)) )],[refute_0_308,refute_0_372]) ).
cnf(refute_0_374,plain,
rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))) = X_42,
inference(resolve,[$cnf( $equal(rd(X_42,mult(X_43,mult(X_43,ld(mult(mult(X_43,X_43),mult(X_43,X_43)),mult(X_43,X_43))))),mult(rd(X_42,mult(X_43,ld(X_137,X_137))),X_43)) )],[refute_0_209,refute_0_373]) ).
cnf(refute_0_375,plain,
rd(mult(rd(X_33,X_34),mult(mult(X_34,X_34),X_35)),mult(mult(X_34,X_34),X_35)) = rd(X_33,X_34),
inference(subst,[],[f04:[bind(A,$fot(rd(X_33,X_34))),bind(B,$fot(mult(mult(X_34,X_34),X_35)))]]) ).
cnf(refute_0_376,plain,
mult(rd(X_33,X_34),mult(mult(X_34,X_34),X_35)) = mult(X_33,mult(X_34,X_35)),
inference(subst,[],[refute_0_10:[bind(A,$fot(X_33)),bind(X_13,$fot(X_34)),bind(X_14,$fot(X_35))]]) ).
cnf(refute_0_377,plain,
( mult(rd(X_33,X_34),mult(mult(X_34,X_34),X_35)) != mult(X_33,mult(X_34,X_35))
| rd(mult(rd(X_33,X_34),mult(mult(X_34,X_34),X_35)),mult(mult(X_34,X_34),X_35)) != rd(X_33,X_34)
| rd(mult(X_33,mult(X_34,X_35)),mult(mult(X_34,X_34),X_35)) = rd(X_33,X_34) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(X_33,X_34),mult(mult(X_34,X_34),X_35)),mult(mult(X_34,X_34),X_35)),rd(X_33,X_34)) ),[0,0],$fot(mult(X_33,mult(X_34,X_35)))]]) ).
cnf(refute_0_378,plain,
( rd(mult(rd(X_33,X_34),mult(mult(X_34,X_34),X_35)),mult(mult(X_34,X_34),X_35)) != rd(X_33,X_34)
| rd(mult(X_33,mult(X_34,X_35)),mult(mult(X_34,X_34),X_35)) = rd(X_33,X_34) ),
inference(resolve,[$cnf( $equal(mult(rd(X_33,X_34),mult(mult(X_34,X_34),X_35)),mult(X_33,mult(X_34,X_35))) )],[refute_0_376,refute_0_377]) ).
cnf(refute_0_379,plain,
rd(mult(X_33,mult(X_34,X_35)),mult(mult(X_34,X_34),X_35)) = rd(X_33,X_34),
inference(resolve,[$cnf( $equal(rd(mult(rd(X_33,X_34),mult(mult(X_34,X_34),X_35)),mult(mult(X_34,X_34),X_35)),rd(X_33,X_34)) )],[refute_0_375,refute_0_378]) ).
cnf(refute_0_380,plain,
rd(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),mult(mult(X_34,X_34),ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))) = rd(X_33,X_34),
inference(subst,[],[refute_0_379:[bind(X_35,$fot(ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))))]]) ).
cnf(refute_0_381,plain,
ld(X_137,X_137) = mult(mult(X_34,X_34),ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))),
inference(subst,[],[refute_0_105:[bind(X_89,$fot(X_137)),bind(X_90,$fot(mult(X_34,X_34)))]]) ).
cnf(refute_0_382,plain,
( ld(X_137,X_137) != mult(mult(X_34,X_34),ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))
| mult(mult(X_34,X_34),ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))) = ld(X_137,X_137) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(ld(X_137,X_137))),bind(Y,$fot(mult(mult(X_34,X_34),ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))))]]) ).
cnf(refute_0_383,plain,
mult(mult(X_34,X_34),ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))) = ld(X_137,X_137),
inference(resolve,[$cnf( $equal(ld(X_137,X_137),mult(mult(X_34,X_34),ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
( mult(mult(X_34,X_34),ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))) != ld(X_137,X_137)
| rd(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),mult(mult(X_34,X_34),ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))) != rd(X_33,X_34)
| rd(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),ld(X_137,X_137)) = rd(X_33,X_34) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),mult(mult(X_34,X_34),ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),rd(X_33,X_34)) ),[0,1],$fot(ld(X_137,X_137))]]) ).
cnf(refute_0_385,plain,
( rd(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),mult(mult(X_34,X_34),ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))) != rd(X_33,X_34)
| rd(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),ld(X_137,X_137)) = rd(X_33,X_34) ),
inference(resolve,[$cnf( $equal(mult(mult(X_34,X_34),ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))),ld(X_137,X_137)) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
rd(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),ld(X_137,X_137)) = rd(X_33,X_34),
inference(resolve,[$cnf( $equal(rd(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),mult(mult(X_34,X_34),ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),rd(X_33,X_34)) )],[refute_0_380,refute_0_385]) ).
cnf(refute_0_387,plain,
mult(X_34,ld(mult(X_34,mult(X_34,mult(X_34,X_34))),mult(X_34,X_34))) = mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34),
inference(subst,[],[refute_0_235:[bind(A,$fot(X_34)),bind(X_13,$fot(mult(X_34,mult(X_34,X_34)))),bind(X_48,$fot(X_34)),bind(X_49,$fot(X_34))]]) ).
cnf(refute_0_388,plain,
mult(mult(X_34,X_34),X_34) = mult(X_34,mult(X_34,X_34)),
inference(subst,[],[refute_0_276:[bind(B,$fot(X_34)),bind(X_123,$fot(X_34))]]) ).
cnf(refute_0_389,plain,
mult(X_34,mult(mult(X_34,X_34),X_34)) = mult(X_34,mult(mult(X_34,X_34),X_34)),
introduced(tautology,[refl,[$fot(mult(X_34,mult(mult(X_34,X_34),X_34)))]]) ).
cnf(refute_0_390,plain,
( mult(X_34,mult(mult(X_34,X_34),X_34)) != mult(X_34,mult(mult(X_34,X_34),X_34))
| mult(mult(X_34,X_34),X_34) != mult(X_34,mult(X_34,X_34))
| mult(X_34,mult(mult(X_34,X_34),X_34)) = mult(X_34,mult(X_34,mult(X_34,X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_34,mult(mult(X_34,X_34),X_34)),mult(X_34,mult(mult(X_34,X_34),X_34))) ),[1,1],$fot(mult(X_34,mult(X_34,X_34)))]]) ).
cnf(refute_0_391,plain,
( mult(mult(X_34,X_34),X_34) != mult(X_34,mult(X_34,X_34))
| mult(X_34,mult(mult(X_34,X_34),X_34)) = mult(X_34,mult(X_34,mult(X_34,X_34))) ),
inference(resolve,[$cnf( $equal(mult(X_34,mult(mult(X_34,X_34),X_34)),mult(X_34,mult(mult(X_34,X_34),X_34))) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
mult(X_34,mult(mult(X_34,X_34),X_34)) = mult(X_34,mult(X_34,mult(X_34,X_34))),
inference(resolve,[$cnf( $equal(mult(mult(X_34,X_34),X_34),mult(X_34,mult(X_34,X_34))) )],[refute_0_388,refute_0_391]) ).
cnf(refute_0_393,plain,
mult(mult(X_34,X_34),mult(X_34,X_34)) = mult(X_34,mult(mult(X_34,X_34),X_34)),
inference(subst,[],[refute_0_283:[bind(A,$fot(X_34)),bind(B,$fot(X_34)),bind(C,$fot(X_34))]]) ).
cnf(refute_0_394,plain,
( mult(X_34,mult(mult(X_34,X_34),X_34)) != mult(X_34,mult(X_34,mult(X_34,X_34)))
| mult(mult(X_34,X_34),mult(X_34,X_34)) != mult(X_34,mult(mult(X_34,X_34),X_34))
| mult(mult(X_34,X_34),mult(X_34,X_34)) = mult(X_34,mult(X_34,mult(X_34,X_34))) ),
inference(subst,[],[refute_0_65:[bind(X,$fot(mult(mult(X_34,X_34),mult(X_34,X_34)))),bind(Y,$fot(mult(X_34,mult(mult(X_34,X_34),X_34)))),bind(Z,$fot(mult(X_34,mult(X_34,mult(X_34,X_34)))))]]) ).
cnf(refute_0_395,plain,
( mult(X_34,mult(mult(X_34,X_34),X_34)) != mult(X_34,mult(X_34,mult(X_34,X_34)))
| mult(mult(X_34,X_34),mult(X_34,X_34)) = mult(X_34,mult(X_34,mult(X_34,X_34))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,mult(mult(X_34,X_34),X_34))) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
mult(mult(X_34,X_34),mult(X_34,X_34)) = mult(X_34,mult(X_34,mult(X_34,X_34))),
inference(resolve,[$cnf( $equal(mult(X_34,mult(mult(X_34,X_34),X_34)),mult(X_34,mult(X_34,mult(X_34,X_34)))) )],[refute_0_392,refute_0_395]) ).
cnf(refute_0_397,plain,
ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)) = ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)),
introduced(tautology,[refl,[$fot(ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))]]) ).
cnf(refute_0_398,plain,
( ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)) != ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))
| mult(mult(X_34,X_34),mult(X_34,X_34)) != mult(X_34,mult(X_34,mult(X_34,X_34)))
| ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)) = ld(mult(X_34,mult(X_34,mult(X_34,X_34))),mult(X_34,X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)),ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))) ),[1,0],$fot(mult(X_34,mult(X_34,mult(X_34,X_34))))]]) ).
cnf(refute_0_399,plain,
( mult(mult(X_34,X_34),mult(X_34,X_34)) != mult(X_34,mult(X_34,mult(X_34,X_34)))
| ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)) = ld(mult(X_34,mult(X_34,mult(X_34,X_34))),mult(X_34,X_34)) ),
inference(resolve,[$cnf( $equal(ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)),ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)) = ld(mult(X_34,mult(X_34,mult(X_34,X_34))),mult(X_34,X_34)),
inference(resolve,[$cnf( $equal(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,mult(X_34,mult(X_34,X_34)))) )],[refute_0_396,refute_0_399]) ).
cnf(refute_0_401,plain,
mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))) = mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))),
introduced(tautology,[refl,[$fot(mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))))]]) ).
cnf(refute_0_402,plain,
( ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)) != ld(mult(X_34,mult(X_34,mult(X_34,X_34))),mult(X_34,X_34))
| mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))) != mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))
| mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))) = mult(X_34,ld(mult(X_34,mult(X_34,mult(X_34,X_34))),mult(X_34,X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))),mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))) ),[1,1],$fot(ld(mult(X_34,mult(X_34,mult(X_34,X_34))),mult(X_34,X_34)))]]) ).
cnf(refute_0_403,plain,
( ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)) != ld(mult(X_34,mult(X_34,mult(X_34,X_34))),mult(X_34,X_34))
| mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))) = mult(X_34,ld(mult(X_34,mult(X_34,mult(X_34,X_34))),mult(X_34,X_34))) ),
inference(resolve,[$cnf( $equal(mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))),mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))) = mult(X_34,ld(mult(X_34,mult(X_34,mult(X_34,X_34))),mult(X_34,X_34))),
inference(resolve,[$cnf( $equal(ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)),ld(mult(X_34,mult(X_34,mult(X_34,X_34))),mult(X_34,X_34))) )],[refute_0_400,refute_0_403]) ).
cnf(refute_0_405,plain,
( mult(X_34,ld(mult(X_34,mult(X_34,mult(X_34,X_34))),mult(X_34,X_34))) != mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34)
| mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))) != mult(X_34,ld(mult(X_34,mult(X_34,mult(X_34,X_34))),mult(X_34,X_34)))
| mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))) = mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34) ),
inference(subst,[],[refute_0_65:[bind(X,$fot(mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))))),bind(Y,$fot(mult(X_34,ld(mult(X_34,mult(X_34,mult(X_34,X_34))),mult(X_34,X_34))))),bind(Z,$fot(mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34)))]]) ).
cnf(refute_0_406,plain,
( mult(X_34,ld(mult(X_34,mult(X_34,mult(X_34,X_34))),mult(X_34,X_34))) != mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34)
| mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))) = mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34) ),
inference(resolve,[$cnf( $equal(mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))),mult(X_34,ld(mult(X_34,mult(X_34,mult(X_34,X_34))),mult(X_34,X_34)))) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))) = mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34),
inference(resolve,[$cnf( $equal(mult(X_34,ld(mult(X_34,mult(X_34,mult(X_34,X_34))),mult(X_34,X_34))),mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34)) )],[refute_0_387,refute_0_406]) ).
cnf(refute_0_408,plain,
mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))) = mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),
introduced(tautology,[refl,[$fot(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))))]]) ).
cnf(refute_0_409,plain,
( mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))) != mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))))
| mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))) != mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34)
| mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))) = mult(X_33,mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))))) ),[1,1],$fot(mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34))]]) ).
cnf(refute_0_410,plain,
( mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))) != mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34)
| mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))) = mult(X_33,mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34)) ),
inference(resolve,[$cnf( $equal(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))))) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))) = mult(X_33,mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34)),
inference(resolve,[$cnf( $equal(mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))),mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34)) )],[refute_0_407,refute_0_410]) ).
cnf(refute_0_412,plain,
rd(mult(rd(X_42,mult(mult(B,B),X_44)),B),B) = rd(X_42,mult(mult(B,B),X_44)),
inference(subst,[],[f04:[bind(A,$fot(rd(X_42,mult(mult(B,B),X_44))))]]) ).
cnf(refute_0_413,plain,
( mult(rd(X_42,mult(mult(B,B),X_44)),B) != rd(X_42,mult(B,X_44))
| rd(mult(rd(X_42,mult(mult(B,B),X_44)),B),B) != rd(X_42,mult(mult(B,B),X_44))
| rd(rd(X_42,mult(B,X_44)),B) = rd(X_42,mult(mult(B,B),X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(X_42,mult(mult(B,B),X_44)),B),B),rd(X_42,mult(mult(B,B),X_44))) ),[0,0],$fot(rd(X_42,mult(B,X_44)))]]) ).
cnf(refute_0_414,plain,
( rd(mult(rd(X_42,mult(mult(B,B),X_44)),B),B) != rd(X_42,mult(mult(B,B),X_44))
| rd(rd(X_42,mult(B,X_44)),B) = rd(X_42,mult(mult(B,B),X_44)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_42,mult(mult(B,B),X_44)),B),rd(X_42,mult(B,X_44))) )],[refute_0_337,refute_0_413]) ).
cnf(refute_0_415,plain,
rd(rd(X_42,mult(B,X_44)),B) = rd(X_42,mult(mult(B,B),X_44)),
inference(resolve,[$cnf( $equal(rd(mult(rd(X_42,mult(mult(B,B),X_44)),B),B),rd(X_42,mult(mult(B,B),X_44))) )],[refute_0_412,refute_0_414]) ).
cnf(refute_0_416,plain,
rd(rd(X_42,mult(B,ld(mult(mult(B,B),mult(B,B)),mult(B,B)))),B) = rd(X_42,mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B)))),
inference(subst,[],[refute_0_415:[bind(X_44,$fot(ld(mult(mult(B,B),mult(B,B)),mult(B,B))))]]) ).
cnf(refute_0_417,plain,
ld(X_137,X_137) = mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B))),
inference(subst,[],[refute_0_105:[bind(X_89,$fot(X_137)),bind(X_90,$fot(mult(B,B)))]]) ).
cnf(refute_0_418,plain,
( ld(X_137,X_137) != mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B)))
| mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B))) = ld(X_137,X_137) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(ld(X_137,X_137))),bind(Y,$fot(mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B)))))]]) ).
cnf(refute_0_419,plain,
mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B))) = ld(X_137,X_137),
inference(resolve,[$cnf( $equal(ld(X_137,X_137),mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B)))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
( mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B))) != ld(X_137,X_137)
| rd(rd(X_42,mult(B,ld(mult(mult(B,B),mult(B,B)),mult(B,B)))),B) != rd(X_42,mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B))))
| rd(rd(X_42,mult(B,ld(mult(mult(B,B),mult(B,B)),mult(B,B)))),B) = rd(X_42,ld(X_137,X_137)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(rd(X_42,mult(B,ld(mult(mult(B,B),mult(B,B)),mult(B,B)))),B),rd(X_42,mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B))))) ),[1,1],$fot(ld(X_137,X_137))]]) ).
cnf(refute_0_421,plain,
( rd(rd(X_42,mult(B,ld(mult(mult(B,B),mult(B,B)),mult(B,B)))),B) != rd(X_42,mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B))))
| rd(rd(X_42,mult(B,ld(mult(mult(B,B),mult(B,B)),mult(B,B)))),B) = rd(X_42,ld(X_137,X_137)) ),
inference(resolve,[$cnf( $equal(mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B))),ld(X_137,X_137)) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
rd(rd(X_42,mult(B,ld(mult(mult(B,B),mult(B,B)),mult(B,B)))),B) = rd(X_42,ld(X_137,X_137)),
inference(resolve,[$cnf( $equal(rd(rd(X_42,mult(B,ld(mult(mult(B,B),mult(B,B)),mult(B,B)))),B),rd(X_42,mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B))))) )],[refute_0_416,refute_0_421]) ).
cnf(refute_0_423,plain,
mult(rd(X_42,mult(B,B)),mult(B,B)) = X_42,
inference(subst,[],[f03:[bind(A,$fot(X_42)),bind(B,$fot(mult(B,B)))]]) ).
cnf(refute_0_424,plain,
rd(X_42,mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B)))) = mult(rd(X_42,mult(B,B)),mult(B,B)),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_42)),bind(X_24,$fot(mult(B,B))),bind(X_26,$fot(mult(B,B)))]]) ).
cnf(refute_0_425,plain,
( mult(rd(X_42,mult(B,B)),mult(B,B)) != X_42
| rd(X_42,mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B)))) != mult(rd(X_42,mult(B,B)),mult(B,B))
| rd(X_42,mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B)))) = X_42 ),
inference(subst,[],[refute_0_65:[bind(X,$fot(rd(X_42,mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B)))))),bind(Y,$fot(mult(rd(X_42,mult(B,B)),mult(B,B)))),bind(Z,$fot(X_42))]]) ).
cnf(refute_0_426,plain,
( mult(rd(X_42,mult(B,B)),mult(B,B)) != X_42
| rd(X_42,mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B)))) = X_42 ),
inference(resolve,[$cnf( $equal(rd(X_42,mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B)))),mult(rd(X_42,mult(B,B)),mult(B,B))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
rd(X_42,mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B)))) = X_42,
inference(resolve,[$cnf( $equal(mult(rd(X_42,mult(B,B)),mult(B,B)),X_42) )],[refute_0_423,refute_0_426]) ).
cnf(refute_0_428,plain,
( rd(X_42,mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B)))) != X_42
| rd(rd(X_42,mult(B,ld(mult(mult(B,B),mult(B,B)),mult(B,B)))),B) != rd(X_42,mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B))))
| rd(rd(X_42,mult(B,ld(mult(mult(B,B),mult(B,B)),mult(B,B)))),B) = X_42 ),
inference(subst,[],[refute_0_65:[bind(X,$fot(rd(rd(X_42,mult(B,ld(mult(mult(B,B),mult(B,B)),mult(B,B)))),B))),bind(Y,$fot(rd(X_42,mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B)))))),bind(Z,$fot(X_42))]]) ).
cnf(refute_0_429,plain,
( rd(X_42,mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B)))) != X_42
| rd(rd(X_42,mult(B,ld(mult(mult(B,B),mult(B,B)),mult(B,B)))),B) = X_42 ),
inference(resolve,[$cnf( $equal(rd(rd(X_42,mult(B,ld(mult(mult(B,B),mult(B,B)),mult(B,B)))),B),rd(X_42,mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B))))) )],[refute_0_416,refute_0_428]) ).
cnf(refute_0_430,plain,
rd(rd(X_42,mult(B,ld(mult(mult(B,B),mult(B,B)),mult(B,B)))),B) = X_42,
inference(resolve,[$cnf( $equal(rd(X_42,mult(mult(B,B),ld(mult(mult(B,B),mult(B,B)),mult(B,B)))),X_42) )],[refute_0_427,refute_0_429]) ).
cnf(refute_0_431,plain,
( rd(rd(X_42,mult(B,ld(mult(mult(B,B),mult(B,B)),mult(B,B)))),B) != X_42
| rd(rd(X_42,mult(B,ld(mult(mult(B,B),mult(B,B)),mult(B,B)))),B) != rd(X_42,ld(X_137,X_137))
| X_42 = rd(X_42,ld(X_137,X_137)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(rd(X_42,mult(B,ld(mult(mult(B,B),mult(B,B)),mult(B,B)))),B),rd(X_42,ld(X_137,X_137))) ),[0],$fot(X_42)]]) ).
cnf(refute_0_432,plain,
( rd(rd(X_42,mult(B,ld(mult(mult(B,B),mult(B,B)),mult(B,B)))),B) != rd(X_42,ld(X_137,X_137))
| X_42 = rd(X_42,ld(X_137,X_137)) ),
inference(resolve,[$cnf( $equal(rd(rd(X_42,mult(B,ld(mult(mult(B,B),mult(B,B)),mult(B,B)))),B),X_42) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
X_42 = rd(X_42,ld(X_137,X_137)),
inference(resolve,[$cnf( $equal(rd(rd(X_42,mult(B,ld(mult(mult(B,B),mult(B,B)),mult(B,B)))),B),rd(X_42,ld(X_137,X_137))) )],[refute_0_422,refute_0_432]) ).
cnf(refute_0_434,plain,
( X_42 != rd(X_42,ld(X_137,X_137))
| rd(X_42,ld(X_137,X_137)) = X_42 ),
inference(subst,[],[refute_0_37:[bind(X,$fot(X_42)),bind(Y,$fot(rd(X_42,ld(X_137,X_137))))]]) ).
cnf(refute_0_435,plain,
rd(X_42,ld(X_137,X_137)) = X_42,
inference(resolve,[$cnf( $equal(X_42,rd(X_42,ld(X_137,X_137))) )],[refute_0_433,refute_0_434]) ).
cnf(refute_0_436,plain,
rd(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),ld(X_137,X_137)) = mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),
inference(subst,[],[refute_0_435:[bind(X_42,$fot(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))))))]]) ).
cnf(refute_0_437,plain,
( mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))) != mult(X_33,mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34))
| rd(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),ld(X_137,X_137)) != mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))))
| rd(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),ld(X_137,X_137)) = mult(X_33,mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34)) ),
inference(subst,[],[refute_0_65:[bind(X,$fot(rd(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),ld(X_137,X_137)))),bind(Y,$fot(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))))),bind(Z,$fot(mult(X_33,mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34))))]]) ).
cnf(refute_0_438,plain,
( mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))) != mult(X_33,mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34))
| rd(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),ld(X_137,X_137)) = mult(X_33,mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34)) ),
inference(resolve,[$cnf( $equal(rd(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),ld(X_137,X_137)),mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34))))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
rd(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),ld(X_137,X_137)) = mult(X_33,mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34)),
inference(resolve,[$cnf( $equal(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),mult(X_33,mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34))) )],[refute_0_411,refute_0_438]) ).
cnf(refute_0_440,plain,
( rd(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),ld(X_137,X_137)) != mult(X_33,mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34))
| rd(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),ld(X_137,X_137)) != rd(X_33,X_34)
| mult(X_33,mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34)) = rd(X_33,X_34) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),ld(X_137,X_137)),rd(X_33,X_34)) ),[0],$fot(mult(X_33,mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34)))]]) ).
cnf(refute_0_441,plain,
( rd(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),ld(X_137,X_137)) != rd(X_33,X_34)
| mult(X_33,mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34)) = rd(X_33,X_34) ),
inference(resolve,[$cnf( $equal(rd(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),ld(X_137,X_137)),mult(X_33,mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34))) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
mult(X_33,mult(rd(X_34,mult(X_34,mult(X_34,X_34))),X_34)) = rd(X_33,X_34),
inference(resolve,[$cnf( $equal(rd(mult(X_33,mult(X_34,ld(mult(mult(X_34,X_34),mult(X_34,X_34)),mult(X_34,X_34)))),ld(X_137,X_137)),rd(X_33,X_34)) )],[refute_0_386,refute_0_441]) ).
cnf(refute_0_443,plain,
mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43)) = rd(X_43,X_43),
inference(subst,[],[refute_0_442:[bind(X_33,$fot(X_43)),bind(X_34,$fot(X_43))]]) ).
cnf(refute_0_444,plain,
rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))) = rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))),
introduced(tautology,[refl,[$fot(rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))))]]) ).
cnf(refute_0_445,plain,
( mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43)) != rd(X_43,X_43)
| rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))) != rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43)))
| rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))) = rd(X_42,rd(X_43,X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))),rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43)))) ),[1,1],$fot(rd(X_43,X_43))]]) ).
cnf(refute_0_446,plain,
( mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43)) != rd(X_43,X_43)
| rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))) = rd(X_42,rd(X_43,X_43)) ),
inference(resolve,[$cnf( $equal(rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))),rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43)))) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))) = rd(X_42,rd(X_43,X_43)),
inference(resolve,[$cnf( $equal(mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43)),rd(X_43,X_43)) )],[refute_0_443,refute_0_446]) ).
cnf(refute_0_448,plain,
( rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))) != X_42
| rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))) != rd(X_42,rd(X_43,X_43))
| rd(X_42,rd(X_43,X_43)) = X_42 ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))),X_42) ),[0],$fot(rd(X_42,rd(X_43,X_43)))]]) ).
cnf(refute_0_449,plain,
( rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))) != X_42
| rd(X_42,rd(X_43,X_43)) = X_42 ),
inference(resolve,[$cnf( $equal(rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))),rd(X_42,rd(X_43,X_43))) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
rd(X_42,rd(X_43,X_43)) = X_42,
inference(resolve,[$cnf( $equal(rd(X_42,mult(X_43,mult(rd(X_43,mult(X_43,mult(X_43,X_43))),X_43))),X_42) )],[refute_0_374,refute_0_449]) ).
cnf(refute_0_451,plain,
rd(X_27,rd(X_75,X_75)) = X_27,
inference(subst,[],[refute_0_450:[bind(X_42,$fot(X_27)),bind(X_43,$fot(X_75))]]) ).
cnf(refute_0_452,plain,
ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75)) = ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75)),
introduced(tautology,[refl,[$fot(ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75)))]]) ).
cnf(refute_0_453,plain,
( ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75)) != ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75))
| rd(X_27,rd(X_75,X_75)) != X_27
| ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75)) = ld(X_27,mult(X_27,X_75)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75)),ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75))) ),[1,0],$fot(X_27)]]) ).
cnf(refute_0_454,plain,
( rd(X_27,rd(X_75,X_75)) != X_27
| ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75)) = ld(X_27,mult(X_27,X_75)) ),
inference(resolve,[$cnf( $equal(ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75)),ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75))) )],[refute_0_452,refute_0_453]) ).
cnf(refute_0_455,plain,
ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75)) = ld(X_27,mult(X_27,X_75)),
inference(resolve,[$cnf( $equal(rd(X_27,rd(X_75,X_75)),X_27) )],[refute_0_451,refute_0_454]) ).
cnf(refute_0_456,plain,
( ld(X_27,mult(X_27,X_75)) != X_75
| ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75)) != ld(X_27,mult(X_27,X_75))
| ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75)) = X_75 ),
inference(subst,[],[refute_0_65:[bind(X,$fot(ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75)))),bind(Y,$fot(ld(X_27,mult(X_27,X_75)))),bind(Z,$fot(X_75))]]) ).
cnf(refute_0_457,plain,
( ld(X_27,mult(X_27,X_75)) != X_75
| ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75)) = X_75 ),
inference(resolve,[$cnf( $equal(ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75)),ld(X_27,mult(X_27,X_75))) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75)) = X_75,
inference(resolve,[$cnf( $equal(ld(X_27,mult(X_27,X_75)),X_75) )],[refute_0_190,refute_0_457]) ).
cnf(refute_0_459,plain,
( ld(X_75,mult(mult(X_75,rd(X_75,X_75)),X_75)) != ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75))
| ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75)) != X_75
| ld(X_75,mult(mult(X_75,rd(X_75,X_75)),X_75)) = X_75 ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(X_75,mult(mult(X_75,rd(X_75,X_75)),X_75)),X_75) ),[0],$fot(ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75)))]]) ).
cnf(refute_0_460,plain,
( ld(X_75,mult(mult(X_75,rd(X_75,X_75)),X_75)) != ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75))
| ld(X_75,mult(mult(X_75,rd(X_75,X_75)),X_75)) = X_75 ),
inference(resolve,[$cnf( $equal(ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75)),X_75) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
ld(X_75,mult(mult(X_75,rd(X_75,X_75)),X_75)) = X_75,
inference(resolve,[$cnf( $equal(ld(X_75,mult(mult(X_75,rd(X_75,X_75)),X_75)),ld(rd(X_27,rd(X_75,X_75)),mult(X_27,X_75))) )],[refute_0_189,refute_0_460]) ).
cnf(refute_0_462,plain,
ld(A,mult(mult(A,rd(A,A)),A)) = A,
inference(subst,[],[refute_0_461:[bind(X_75,$fot(A))]]) ).
cnf(refute_0_463,plain,
( ld(A,mult(mult(A,rd(A,A)),A)) != A
| ld(A,mult(mult(A,rd(A,A)),A)) != ld(X_54,mult(mult(X_54,rd(A,A)),A))
| A = ld(X_54,mult(mult(X_54,rd(A,A)),A)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(mult(A,rd(A,A)),A)),ld(X_54,mult(mult(X_54,rd(A,A)),A))) ),[0],$fot(A)]]) ).
cnf(refute_0_464,plain,
( ld(A,mult(mult(A,rd(A,A)),A)) != ld(X_54,mult(mult(X_54,rd(A,A)),A))
| A = ld(X_54,mult(mult(X_54,rd(A,A)),A)) ),
inference(resolve,[$cnf( $equal(ld(A,mult(mult(A,rd(A,A)),A)),A) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
A = ld(X_54,mult(mult(X_54,rd(A,A)),A)),
inference(resolve,[$cnf( $equal(ld(A,mult(mult(A,rd(A,A)),A)),ld(X_54,mult(mult(X_54,rd(A,A)),A))) )],[refute_0_138,refute_0_464]) ).
cnf(refute_0_466,plain,
X_145 = ld(X_8,mult(mult(X_8,rd(X_145,X_145)),X_145)),
inference(subst,[],[refute_0_465:[bind(A,$fot(X_145)),bind(X_54,$fot(X_8))]]) ).
cnf(refute_0_467,plain,
( X_145 != ld(X_8,mult(mult(X_8,rd(X_145,X_145)),X_145))
| ld(X_8,mult(mult(X_8,rd(X_145,X_145)),X_145)) = X_145 ),
inference(subst,[],[refute_0_37:[bind(X,$fot(X_145)),bind(Y,$fot(ld(X_8,mult(mult(X_8,rd(X_145,X_145)),X_145))))]]) ).
cnf(refute_0_468,plain,
ld(X_8,mult(mult(X_8,rd(X_145,X_145)),X_145)) = X_145,
inference(resolve,[$cnf( $equal(X_145,ld(X_8,mult(mult(X_8,rd(X_145,X_145)),X_145))) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
( ld(X_8,mult(mult(X_8,rd(X_145,X_145)),X_145)) != X_145
| rd(mult(mult(X_8,rd(X_145,X_145)),X_145),ld(X_8,mult(mult(X_8,rd(X_145,X_145)),X_145))) != X_8
| rd(mult(mult(X_8,rd(X_145,X_145)),X_145),X_145) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_8,rd(X_145,X_145)),X_145),ld(X_8,mult(mult(X_8,rd(X_145,X_145)),X_145))),X_8) ),[0,1],$fot(X_145)]]) ).
cnf(refute_0_470,plain,
( rd(mult(mult(X_8,rd(X_145,X_145)),X_145),ld(X_8,mult(mult(X_8,rd(X_145,X_145)),X_145))) != X_8
| rd(mult(mult(X_8,rd(X_145,X_145)),X_145),X_145) = X_8 ),
inference(resolve,[$cnf( $equal(ld(X_8,mult(mult(X_8,rd(X_145,X_145)),X_145)),X_145) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
rd(mult(mult(X_8,rd(X_145,X_145)),X_145),X_145) = X_8,
inference(resolve,[$cnf( $equal(rd(mult(mult(X_8,rd(X_145,X_145)),X_145),ld(X_8,mult(mult(X_8,rd(X_145,X_145)),X_145))),X_8) )],[refute_0_112,refute_0_470]) ).
cnf(refute_0_472,plain,
rd(mult(mult(X_8,rd(X_145,X_145)),X_145),X_145) = mult(X_8,rd(X_145,X_145)),
inference(subst,[],[f04:[bind(A,$fot(mult(X_8,rd(X_145,X_145)))),bind(B,$fot(X_145))]]) ).
cnf(refute_0_473,plain,
( rd(mult(mult(X_8,rd(X_145,X_145)),X_145),X_145) != X_8
| rd(mult(mult(X_8,rd(X_145,X_145)),X_145),X_145) != mult(X_8,rd(X_145,X_145))
| mult(X_8,rd(X_145,X_145)) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_8,rd(X_145,X_145)),X_145),X_145),X_8) ),[0],$fot(mult(X_8,rd(X_145,X_145)))]]) ).
cnf(refute_0_474,plain,
( rd(mult(mult(X_8,rd(X_145,X_145)),X_145),X_145) != X_8
| mult(X_8,rd(X_145,X_145)) = X_8 ),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_8,rd(X_145,X_145)),X_145),X_145),mult(X_8,rd(X_145,X_145))) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
mult(X_8,rd(X_145,X_145)) = X_8,
inference(resolve,[$cnf( $equal(rd(mult(mult(X_8,rd(X_145,X_145)),X_145),X_145),X_8) )],[refute_0_471,refute_0_474]) ).
cnf(refute_0_476,plain,
mult(rd(X_147,X_147),rd(X_147,X_147)) = rd(X_147,X_147),
inference(subst,[],[refute_0_475:[bind(X_145,$fot(X_147)),bind(X_8,$fot(rd(X_147,X_147)))]]) ).
cnf(refute_0_477,plain,
( ld(X_89,X_89) != mult(rd(X_147,X_147),ld(mult(rd(X_147,X_147),rd(X_147,X_147)),rd(X_147,X_147)))
| mult(rd(X_147,X_147),rd(X_147,X_147)) != rd(X_147,X_147)
| ld(X_89,X_89) = mult(rd(X_147,X_147),ld(rd(X_147,X_147),rd(X_147,X_147))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_89,X_89),mult(rd(X_147,X_147),ld(mult(rd(X_147,X_147),rd(X_147,X_147)),rd(X_147,X_147)))) ),[1,1,0],$fot(rd(X_147,X_147))]]) ).
cnf(refute_0_478,plain,
( ld(X_89,X_89) != mult(rd(X_147,X_147),ld(mult(rd(X_147,X_147),rd(X_147,X_147)),rd(X_147,X_147)))
| ld(X_89,X_89) = mult(rd(X_147,X_147),ld(rd(X_147,X_147),rd(X_147,X_147))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_147,X_147),rd(X_147,X_147)),rd(X_147,X_147)) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
ld(X_89,X_89) = mult(rd(X_147,X_147),ld(rd(X_147,X_147),rd(X_147,X_147))),
inference(resolve,[$cnf( $equal(ld(X_89,X_89),mult(rd(X_147,X_147),ld(mult(rd(X_147,X_147),rd(X_147,X_147)),rd(X_147,X_147)))) )],[refute_0_106,refute_0_478]) ).
cnf(refute_0_480,plain,
mult(rd(X_147,X_147),ld(rd(X_147,X_147),rd(X_147,X_147))) = rd(X_147,X_147),
inference(subst,[],[refute_0_358:[bind(A,$fot(rd(X_147,X_147))),bind(X_137,$fot(rd(X_147,X_147)))]]) ).
cnf(refute_0_481,plain,
( ld(X_89,X_89) != mult(rd(X_147,X_147),ld(rd(X_147,X_147),rd(X_147,X_147)))
| mult(rd(X_147,X_147),ld(rd(X_147,X_147),rd(X_147,X_147))) != rd(X_147,X_147)
| ld(X_89,X_89) = rd(X_147,X_147) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(X_89,X_89),rd(X_147,X_147)) ),[0],$fot(mult(rd(X_147,X_147),ld(rd(X_147,X_147),rd(X_147,X_147))))]]) ).
cnf(refute_0_482,plain,
( ld(X_89,X_89) != mult(rd(X_147,X_147),ld(rd(X_147,X_147),rd(X_147,X_147)))
| ld(X_89,X_89) = rd(X_147,X_147) ),
inference(resolve,[$cnf( $equal(mult(rd(X_147,X_147),ld(rd(X_147,X_147),rd(X_147,X_147))),rd(X_147,X_147)) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
ld(X_89,X_89) = rd(X_147,X_147),
inference(resolve,[$cnf( $equal(ld(X_89,X_89),mult(rd(X_147,X_147),ld(rd(X_147,X_147),rd(X_147,X_147)))) )],[refute_0_479,refute_0_482]) ).
cnf(refute_0_484,plain,
ld(X_150,X_150) = rd(X_24,X_24),
inference(subst,[],[refute_0_483:[bind(X_147,$fot(X_24)),bind(X_89,$fot(X_150))]]) ).
cnf(refute_0_485,plain,
( ld(X_150,X_150) != rd(X_24,X_24)
| rd(X_24,X_24) = ld(X_150,X_150) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(ld(X_150,X_150))),bind(Y,$fot(rd(X_24,X_24)))]]) ).
cnf(refute_0_486,plain,
rd(X_24,X_24) = ld(X_150,X_150),
inference(resolve,[$cnf( $equal(ld(X_150,X_150),rd(X_24,X_24)) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
( rd(X_24,X_24) != ld(X_150,X_150)
| rd(X_24,mult(X_26,ld(mult(X_26,X_26),X_24))) != mult(rd(X_24,X_24),X_26)
| rd(X_24,mult(X_26,ld(mult(X_26,X_26),X_24))) = mult(ld(X_150,X_150),X_26) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_24,mult(X_26,ld(mult(X_26,X_26),X_24))),mult(rd(X_24,X_24),X_26)) ),[1,0],$fot(ld(X_150,X_150))]]) ).
cnf(refute_0_488,plain,
( rd(X_24,mult(X_26,ld(mult(X_26,X_26),X_24))) != mult(rd(X_24,X_24),X_26)
| rd(X_24,mult(X_26,ld(mult(X_26,X_26),X_24))) = mult(ld(X_150,X_150),X_26) ),
inference(resolve,[$cnf( $equal(rd(X_24,X_24),ld(X_150,X_150)) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
rd(X_24,mult(X_26,ld(mult(X_26,X_26),X_24))) = mult(ld(X_150,X_150),X_26),
inference(resolve,[$cnf( $equal(rd(X_24,mult(X_26,ld(mult(X_26,X_26),X_24))),mult(rd(X_24,X_24),X_26)) )],[refute_0_93,refute_0_488]) ).
cnf(refute_0_490,plain,
( rd(X_24,mult(X_26,ld(mult(X_26,X_26),X_24))) != mult(ld(X_150,X_150),X_26)
| rd(X_24,mult(X_26,ld(mult(X_26,X_26),X_24))) != mult(rd(X_24,X_24),X_26)
| mult(rd(X_24,X_24),X_26) = mult(ld(X_150,X_150),X_26) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_24,mult(X_26,ld(mult(X_26,X_26),X_24))),mult(ld(X_150,X_150),X_26)) ),[0],$fot(mult(rd(X_24,X_24),X_26))]]) ).
cnf(refute_0_491,plain,
( rd(X_24,mult(X_26,ld(mult(X_26,X_26),X_24))) != mult(ld(X_150,X_150),X_26)
| mult(rd(X_24,X_24),X_26) = mult(ld(X_150,X_150),X_26) ),
inference(resolve,[$cnf( $equal(rd(X_24,mult(X_26,ld(mult(X_26,X_26),X_24))),mult(rd(X_24,X_24),X_26)) )],[refute_0_93,refute_0_490]) ).
cnf(refute_0_492,plain,
ld(A,mult(mult(A,rd(X_29,X_29)),X_29)) = mult(mult(rd(X_29,X_29),rd(X_29,X_29)),X_29),
inference(subst,[],[refute_0_123:[bind(X_27,$fot(X_29))]]) ).
cnf(refute_0_493,plain,
ld(X_150,X_150) = rd(X_29,X_29),
inference(subst,[],[refute_0_483:[bind(X_147,$fot(X_29)),bind(X_89,$fot(X_150))]]) ).
cnf(refute_0_494,plain,
( ld(X_150,X_150) != rd(X_29,X_29)
| rd(X_29,X_29) = ld(X_150,X_150) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(ld(X_150,X_150))),bind(Y,$fot(rd(X_29,X_29)))]]) ).
cnf(refute_0_495,plain,
rd(X_29,X_29) = ld(X_150,X_150),
inference(resolve,[$cnf( $equal(ld(X_150,X_150),rd(X_29,X_29)) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
( ld(A,mult(mult(A,rd(X_29,X_29)),X_29)) != mult(mult(rd(X_29,X_29),rd(X_29,X_29)),X_29)
| rd(X_29,X_29) != ld(X_150,X_150)
| ld(A,mult(mult(A,rd(X_29,X_29)),X_29)) = mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29) ),
introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(mult(A,rd(X_29,X_29)),X_29)),mult(mult(rd(X_29,X_29),rd(X_29,X_29)),X_29)) ),[1,0,0],$fot(ld(X_150,X_150))]]) ).
cnf(refute_0_497,plain,
( ld(A,mult(mult(A,rd(X_29,X_29)),X_29)) != mult(mult(rd(X_29,X_29),rd(X_29,X_29)),X_29)
| ld(A,mult(mult(A,rd(X_29,X_29)),X_29)) = mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29) ),
inference(resolve,[$cnf( $equal(rd(X_29,X_29),ld(X_150,X_150)) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
ld(A,mult(mult(A,rd(X_29,X_29)),X_29)) = mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29),
inference(resolve,[$cnf( $equal(ld(A,mult(mult(A,rd(X_29,X_29)),X_29)),mult(mult(rd(X_29,X_29),rd(X_29,X_29)),X_29)) )],[refute_0_492,refute_0_497]) ).
cnf(refute_0_499,plain,
ld(A,mult(A,X_29)) = X_29,
inference(subst,[],[f02:[bind(B,$fot(X_29))]]) ).
cnf(refute_0_500,plain,
mult(A,rd(X_29,X_29)) = A,
inference(subst,[],[refute_0_475:[bind(X_145,$fot(X_29)),bind(X_8,$fot(A))]]) ).
cnf(refute_0_501,plain,
mult(mult(A,rd(X_29,X_29)),X_29) = mult(mult(A,rd(X_29,X_29)),X_29),
introduced(tautology,[refl,[$fot(mult(mult(A,rd(X_29,X_29)),X_29))]]) ).
cnf(refute_0_502,plain,
( mult(A,rd(X_29,X_29)) != A
| mult(mult(A,rd(X_29,X_29)),X_29) != mult(mult(A,rd(X_29,X_29)),X_29)
| mult(mult(A,rd(X_29,X_29)),X_29) = mult(A,X_29) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(A,rd(X_29,X_29)),X_29),mult(mult(A,rd(X_29,X_29)),X_29)) ),[1,0],$fot(A)]]) ).
cnf(refute_0_503,plain,
( mult(A,rd(X_29,X_29)) != A
| mult(mult(A,rd(X_29,X_29)),X_29) = mult(A,X_29) ),
inference(resolve,[$cnf( $equal(mult(mult(A,rd(X_29,X_29)),X_29),mult(mult(A,rd(X_29,X_29)),X_29)) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
mult(mult(A,rd(X_29,X_29)),X_29) = mult(A,X_29),
inference(resolve,[$cnf( $equal(mult(A,rd(X_29,X_29)),A) )],[refute_0_500,refute_0_503]) ).
cnf(refute_0_505,plain,
ld(A,mult(mult(A,rd(X_29,X_29)),X_29)) = ld(A,mult(mult(A,rd(X_29,X_29)),X_29)),
introduced(tautology,[refl,[$fot(ld(A,mult(mult(A,rd(X_29,X_29)),X_29)))]]) ).
cnf(refute_0_506,plain,
( ld(A,mult(mult(A,rd(X_29,X_29)),X_29)) != ld(A,mult(mult(A,rd(X_29,X_29)),X_29))
| mult(mult(A,rd(X_29,X_29)),X_29) != mult(A,X_29)
| ld(A,mult(mult(A,rd(X_29,X_29)),X_29)) = ld(A,mult(A,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(mult(A,rd(X_29,X_29)),X_29)),ld(A,mult(mult(A,rd(X_29,X_29)),X_29))) ),[1,1],$fot(mult(A,X_29))]]) ).
cnf(refute_0_507,plain,
( mult(mult(A,rd(X_29,X_29)),X_29) != mult(A,X_29)
| ld(A,mult(mult(A,rd(X_29,X_29)),X_29)) = ld(A,mult(A,X_29)) ),
inference(resolve,[$cnf( $equal(ld(A,mult(mult(A,rd(X_29,X_29)),X_29)),ld(A,mult(mult(A,rd(X_29,X_29)),X_29))) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
ld(A,mult(mult(A,rd(X_29,X_29)),X_29)) = ld(A,mult(A,X_29)),
inference(resolve,[$cnf( $equal(mult(mult(A,rd(X_29,X_29)),X_29),mult(A,X_29)) )],[refute_0_504,refute_0_507]) ).
cnf(refute_0_509,plain,
( ld(A,mult(A,X_29)) != X_29
| ld(A,mult(mult(A,rd(X_29,X_29)),X_29)) != ld(A,mult(A,X_29))
| ld(A,mult(mult(A,rd(X_29,X_29)),X_29)) = X_29 ),
inference(subst,[],[refute_0_65:[bind(X,$fot(ld(A,mult(mult(A,rd(X_29,X_29)),X_29)))),bind(Y,$fot(ld(A,mult(A,X_29)))),bind(Z,$fot(X_29))]]) ).
cnf(refute_0_510,plain,
( ld(A,mult(A,X_29)) != X_29
| ld(A,mult(mult(A,rd(X_29,X_29)),X_29)) = X_29 ),
inference(resolve,[$cnf( $equal(ld(A,mult(mult(A,rd(X_29,X_29)),X_29)),ld(A,mult(A,X_29))) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
ld(A,mult(mult(A,rd(X_29,X_29)),X_29)) = X_29,
inference(resolve,[$cnf( $equal(ld(A,mult(A,X_29)),X_29) )],[refute_0_499,refute_0_510]) ).
cnf(refute_0_512,plain,
( ld(A,mult(mult(A,rd(X_29,X_29)),X_29)) != X_29
| ld(A,mult(mult(A,rd(X_29,X_29)),X_29)) != mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29)
| X_29 = mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29) ),
introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(mult(A,rd(X_29,X_29)),X_29)),mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29)) ),[0],$fot(X_29)]]) ).
cnf(refute_0_513,plain,
( ld(A,mult(mult(A,rd(X_29,X_29)),X_29)) != mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29)
| X_29 = mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29) ),
inference(resolve,[$cnf( $equal(ld(A,mult(mult(A,rd(X_29,X_29)),X_29)),X_29) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
mult(ld(X_150,X_150),rd(X_29,X_29)) = ld(X_150,X_150),
inference(subst,[],[refute_0_475:[bind(X_145,$fot(X_29)),bind(X_8,$fot(ld(X_150,X_150)))]]) ).
cnf(refute_0_515,plain,
mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29) = mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29),
introduced(tautology,[refl,[$fot(mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29))]]) ).
cnf(refute_0_516,plain,
( mult(ld(X_150,X_150),rd(X_29,X_29)) != ld(X_150,X_150)
| mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29) != mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29)
| mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29) = mult(ld(X_150,X_150),X_29) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29),mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29)) ),[1,0],$fot(ld(X_150,X_150))]]) ).
cnf(refute_0_517,plain,
( mult(ld(X_150,X_150),rd(X_29,X_29)) != ld(X_150,X_150)
| mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29) = mult(ld(X_150,X_150),X_29) ),
inference(resolve,[$cnf( $equal(mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29),mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29)) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29) = mult(ld(X_150,X_150),X_29),
inference(resolve,[$cnf( $equal(mult(ld(X_150,X_150),rd(X_29,X_29)),ld(X_150,X_150)) )],[refute_0_514,refute_0_517]) ).
cnf(refute_0_519,plain,
( X_29 != mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29)
| mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29) != mult(ld(X_150,X_150),X_29)
| X_29 = mult(ld(X_150,X_150),X_29) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_29,mult(ld(X_150,X_150),X_29)) ),[0],$fot(mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29))]]) ).
cnf(refute_0_520,plain,
( X_29 != mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29)
| X_29 = mult(ld(X_150,X_150),X_29) ),
inference(resolve,[$cnf( $equal(mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29),mult(ld(X_150,X_150),X_29)) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
( ld(A,mult(mult(A,rd(X_29,X_29)),X_29)) != mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29)
| X_29 = mult(ld(X_150,X_150),X_29) ),
inference(resolve,[$cnf( $equal(X_29,mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29)) )],[refute_0_513,refute_0_520]) ).
cnf(refute_0_522,plain,
X_29 = mult(ld(X_150,X_150),X_29),
inference(resolve,[$cnf( $equal(ld(A,mult(mult(A,rd(X_29,X_29)),X_29)),mult(mult(ld(X_150,X_150),rd(X_29,X_29)),X_29)) )],[refute_0_498,refute_0_521]) ).
cnf(refute_0_523,plain,
( X_29 != mult(ld(X_150,X_150),X_29)
| mult(ld(X_150,X_150),X_29) = X_29 ),
inference(subst,[],[refute_0_37:[bind(X,$fot(X_29)),bind(Y,$fot(mult(ld(X_150,X_150),X_29)))]]) ).
cnf(refute_0_524,plain,
mult(ld(X_150,X_150),X_29) = X_29,
inference(resolve,[$cnf( $equal(X_29,mult(ld(X_150,X_150),X_29)) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
mult(ld(X_150,X_150),X_26) = X_26,
inference(subst,[],[refute_0_524:[bind(X_29,$fot(X_26))]]) ).
cnf(refute_0_526,plain,
( mult(ld(X_150,X_150),X_26) != X_26
| mult(rd(X_24,X_24),X_26) != mult(ld(X_150,X_150),X_26)
| mult(rd(X_24,X_24),X_26) = X_26 ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_24,X_24),X_26),mult(ld(X_150,X_150),X_26)) ),[1],$fot(X_26)]]) ).
cnf(refute_0_527,plain,
( mult(rd(X_24,X_24),X_26) != mult(ld(X_150,X_150),X_26)
| mult(rd(X_24,X_24),X_26) = X_26 ),
inference(resolve,[$cnf( $equal(mult(ld(X_150,X_150),X_26),X_26) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
( rd(X_24,mult(X_26,ld(mult(X_26,X_26),X_24))) != mult(ld(X_150,X_150),X_26)
| mult(rd(X_24,X_24),X_26) = X_26 ),
inference(resolve,[$cnf( $equal(mult(rd(X_24,X_24),X_26),mult(ld(X_150,X_150),X_26)) )],[refute_0_491,refute_0_527]) ).
cnf(refute_0_529,plain,
mult(rd(X_24,X_24),X_26) = X_26,
inference(resolve,[$cnf( $equal(rd(X_24,mult(X_26,ld(mult(X_26,X_26),X_24))),mult(ld(X_150,X_150),X_26)) )],[refute_0_489,refute_0_528]) ).
cnf(refute_0_530,plain,
mult(rd(X_115,X_115),B) = B,
inference(subst,[],[refute_0_529:[bind(X_24,$fot(X_115)),bind(X_26,$fot(B))]]) ).
cnf(refute_0_531,plain,
mult(X_115,mult(X_115,ld(mult(X_115,X_115),B))) = mult(rd(X_115,X_115),B),
inference(subst,[],[refute_0_54:[bind(X_33,$fot(X_115)),bind(X_34,$fot(X_115))]]) ).
cnf(refute_0_532,plain,
( mult(X_115,mult(X_115,ld(mult(X_115,X_115),B))) != mult(rd(X_115,X_115),B)
| mult(rd(X_115,X_115),B) != B
| mult(X_115,mult(X_115,ld(mult(X_115,X_115),B))) = B ),
inference(subst,[],[refute_0_65:[bind(X,$fot(mult(X_115,mult(X_115,ld(mult(X_115,X_115),B))))),bind(Y,$fot(mult(rd(X_115,X_115),B))),bind(Z,$fot(B))]]) ).
cnf(refute_0_533,plain,
( mult(rd(X_115,X_115),B) != B
| mult(X_115,mult(X_115,ld(mult(X_115,X_115),B))) = B ),
inference(resolve,[$cnf( $equal(mult(X_115,mult(X_115,ld(mult(X_115,X_115),B))),mult(rd(X_115,X_115),B)) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
mult(X_115,mult(X_115,ld(mult(X_115,X_115),B))) = B,
inference(resolve,[$cnf( $equal(mult(rd(X_115,X_115),B),B) )],[refute_0_530,refute_0_533]) ).
cnf(refute_0_535,plain,
mult(rd(X_13,X_13),mult(mult(X_13,X_13),X_14)) = mult(X_13,mult(X_13,X_14)),
inference(subst,[],[refute_0_10:[bind(A,$fot(X_13))]]) ).
cnf(refute_0_536,plain,
ld(X_150,X_150) = rd(X_13,X_13),
inference(subst,[],[refute_0_483:[bind(X_147,$fot(X_13)),bind(X_89,$fot(X_150))]]) ).
cnf(refute_0_537,plain,
( ld(X_150,X_150) != rd(X_13,X_13)
| rd(X_13,X_13) = ld(X_150,X_150) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(ld(X_150,X_150))),bind(Y,$fot(rd(X_13,X_13)))]]) ).
cnf(refute_0_538,plain,
rd(X_13,X_13) = ld(X_150,X_150),
inference(resolve,[$cnf( $equal(ld(X_150,X_150),rd(X_13,X_13)) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
( mult(rd(X_13,X_13),mult(mult(X_13,X_13),X_14)) != mult(X_13,mult(X_13,X_14))
| rd(X_13,X_13) != ld(X_150,X_150)
| mult(ld(X_150,X_150),mult(mult(X_13,X_13),X_14)) = mult(X_13,mult(X_13,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_13,X_13),mult(mult(X_13,X_13),X_14)),mult(X_13,mult(X_13,X_14))) ),[0,0],$fot(ld(X_150,X_150))]]) ).
cnf(refute_0_540,plain,
( mult(rd(X_13,X_13),mult(mult(X_13,X_13),X_14)) != mult(X_13,mult(X_13,X_14))
| mult(ld(X_150,X_150),mult(mult(X_13,X_13),X_14)) = mult(X_13,mult(X_13,X_14)) ),
inference(resolve,[$cnf( $equal(rd(X_13,X_13),ld(X_150,X_150)) )],[refute_0_538,refute_0_539]) ).
cnf(refute_0_541,plain,
mult(ld(X_150,X_150),mult(mult(X_13,X_13),X_14)) = mult(X_13,mult(X_13,X_14)),
inference(resolve,[$cnf( $equal(mult(rd(X_13,X_13),mult(mult(X_13,X_13),X_14)),mult(X_13,mult(X_13,X_14))) )],[refute_0_535,refute_0_540]) ).
cnf(refute_0_542,plain,
mult(ld(X_150,X_150),mult(mult(X_13,X_13),X_14)) = mult(mult(X_13,X_13),X_14),
inference(subst,[],[refute_0_524:[bind(X_29,$fot(mult(mult(X_13,X_13),X_14)))]]) ).
cnf(refute_0_543,plain,
( mult(ld(X_150,X_150),mult(mult(X_13,X_13),X_14)) != mult(X_13,mult(X_13,X_14))
| mult(ld(X_150,X_150),mult(mult(X_13,X_13),X_14)) != mult(mult(X_13,X_13),X_14)
| mult(mult(X_13,X_13),X_14) = mult(X_13,mult(X_13,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(ld(X_150,X_150),mult(mult(X_13,X_13),X_14)),mult(X_13,mult(X_13,X_14))) ),[0],$fot(mult(mult(X_13,X_13),X_14))]]) ).
cnf(refute_0_544,plain,
( mult(ld(X_150,X_150),mult(mult(X_13,X_13),X_14)) != mult(X_13,mult(X_13,X_14))
| mult(mult(X_13,X_13),X_14) = mult(X_13,mult(X_13,X_14)) ),
inference(resolve,[$cnf( $equal(mult(ld(X_150,X_150),mult(mult(X_13,X_13),X_14)),mult(mult(X_13,X_13),X_14)) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
mult(mult(X_13,X_13),X_14) = mult(X_13,mult(X_13,X_14)),
inference(resolve,[$cnf( $equal(mult(ld(X_150,X_150),mult(mult(X_13,X_13),X_14)),mult(X_13,mult(X_13,X_14))) )],[refute_0_541,refute_0_544]) ).
cnf(refute_0_546,plain,
mult(mult(X_115,X_115),ld(mult(X_115,X_115),B)) = mult(X_115,mult(X_115,ld(mult(X_115,X_115),B))),
inference(subst,[],[refute_0_545:[bind(X_13,$fot(X_115)),bind(X_14,$fot(ld(mult(X_115,X_115),B)))]]) ).
cnf(refute_0_547,plain,
( mult(X_115,mult(X_115,ld(mult(X_115,X_115),B))) != B
| mult(mult(X_115,X_115),ld(mult(X_115,X_115),B)) != mult(X_115,mult(X_115,ld(mult(X_115,X_115),B)))
| mult(mult(X_115,X_115),ld(mult(X_115,X_115),B)) = B ),
inference(subst,[],[refute_0_65:[bind(X,$fot(mult(mult(X_115,X_115),ld(mult(X_115,X_115),B)))),bind(Y,$fot(mult(X_115,mult(X_115,ld(mult(X_115,X_115),B))))),bind(Z,$fot(B))]]) ).
cnf(refute_0_548,plain,
( mult(X_115,mult(X_115,ld(mult(X_115,X_115),B))) != B
| mult(mult(X_115,X_115),ld(mult(X_115,X_115),B)) = B ),
inference(resolve,[$cnf( $equal(mult(mult(X_115,X_115),ld(mult(X_115,X_115),B)),mult(X_115,mult(X_115,ld(mult(X_115,X_115),B)))) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
mult(mult(X_115,X_115),ld(mult(X_115,X_115),B)) = B,
inference(resolve,[$cnf( $equal(mult(X_115,mult(X_115,ld(mult(X_115,X_115),B))),B) )],[refute_0_534,refute_0_548]) ).
cnf(refute_0_550,plain,
mult(X_115,mult(mult(X_115,X_115),ld(mult(X_115,X_115),B))) = mult(X_115,mult(mult(X_115,X_115),ld(mult(X_115,X_115),B))),
introduced(tautology,[refl,[$fot(mult(X_115,mult(mult(X_115,X_115),ld(mult(X_115,X_115),B))))]]) ).
cnf(refute_0_551,plain,
( mult(X_115,mult(mult(X_115,X_115),ld(mult(X_115,X_115),B))) != mult(X_115,mult(mult(X_115,X_115),ld(mult(X_115,X_115),B)))
| mult(mult(X_115,X_115),ld(mult(X_115,X_115),B)) != B
| mult(X_115,mult(mult(X_115,X_115),ld(mult(X_115,X_115),B))) = mult(X_115,B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_115,mult(mult(X_115,X_115),ld(mult(X_115,X_115),B))),mult(X_115,mult(mult(X_115,X_115),ld(mult(X_115,X_115),B)))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_552,plain,
( mult(mult(X_115,X_115),ld(mult(X_115,X_115),B)) != B
| mult(X_115,mult(mult(X_115,X_115),ld(mult(X_115,X_115),B))) = mult(X_115,B) ),
inference(resolve,[$cnf( $equal(mult(X_115,mult(mult(X_115,X_115),ld(mult(X_115,X_115),B))),mult(X_115,mult(mult(X_115,X_115),ld(mult(X_115,X_115),B)))) )],[refute_0_550,refute_0_551]) ).
cnf(refute_0_553,plain,
mult(X_115,mult(mult(X_115,X_115),ld(mult(X_115,X_115),B))) = mult(X_115,B),
inference(resolve,[$cnf( $equal(mult(mult(X_115,X_115),ld(mult(X_115,X_115),B)),B) )],[refute_0_549,refute_0_552]) ).
cnf(refute_0_554,plain,
mult(rd(X_34,X_34),mult(mult(mult(X_34,X_34),X_13),B)) = mult(X_34,mult(mult(X_34,X_13),B)),
inference(subst,[],[refute_0_23:[bind(X_33,$fot(X_34))]]) ).
cnf(refute_0_555,plain,
ld(X_150,X_150) = rd(X_34,X_34),
inference(subst,[],[refute_0_483:[bind(X_147,$fot(X_34)),bind(X_89,$fot(X_150))]]) ).
cnf(refute_0_556,plain,
( ld(X_150,X_150) != rd(X_34,X_34)
| rd(X_34,X_34) = ld(X_150,X_150) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(ld(X_150,X_150))),bind(Y,$fot(rd(X_34,X_34)))]]) ).
cnf(refute_0_557,plain,
rd(X_34,X_34) = ld(X_150,X_150),
inference(resolve,[$cnf( $equal(ld(X_150,X_150),rd(X_34,X_34)) )],[refute_0_555,refute_0_556]) ).
cnf(refute_0_558,plain,
( mult(rd(X_34,X_34),mult(mult(mult(X_34,X_34),X_13),B)) != mult(X_34,mult(mult(X_34,X_13),B))
| rd(X_34,X_34) != ld(X_150,X_150)
| mult(ld(X_150,X_150),mult(mult(mult(X_34,X_34),X_13),B)) = mult(X_34,mult(mult(X_34,X_13),B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_34,X_34),mult(mult(mult(X_34,X_34),X_13),B)),mult(X_34,mult(mult(X_34,X_13),B))) ),[0,0],$fot(ld(X_150,X_150))]]) ).
cnf(refute_0_559,plain,
( mult(rd(X_34,X_34),mult(mult(mult(X_34,X_34),X_13),B)) != mult(X_34,mult(mult(X_34,X_13),B))
| mult(ld(X_150,X_150),mult(mult(mult(X_34,X_34),X_13),B)) = mult(X_34,mult(mult(X_34,X_13),B)) ),
inference(resolve,[$cnf( $equal(rd(X_34,X_34),ld(X_150,X_150)) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
mult(ld(X_150,X_150),mult(mult(mult(X_34,X_34),X_13),B)) = mult(X_34,mult(mult(X_34,X_13),B)),
inference(resolve,[$cnf( $equal(mult(rd(X_34,X_34),mult(mult(mult(X_34,X_34),X_13),B)),mult(X_34,mult(mult(X_34,X_13),B))) )],[refute_0_554,refute_0_559]) ).
cnf(refute_0_561,plain,
mult(mult(X_34,X_34),X_13) = mult(X_34,mult(X_34,X_13)),
inference(subst,[],[refute_0_545:[bind(X_13,$fot(X_34)),bind(X_14,$fot(X_13))]]) ).
cnf(refute_0_562,plain,
mult(mult(mult(X_34,X_34),X_13),B) = mult(mult(mult(X_34,X_34),X_13),B),
introduced(tautology,[refl,[$fot(mult(mult(mult(X_34,X_34),X_13),B))]]) ).
cnf(refute_0_563,plain,
( mult(mult(X_34,X_34),X_13) != mult(X_34,mult(X_34,X_13))
| mult(mult(mult(X_34,X_34),X_13),B) != mult(mult(mult(X_34,X_34),X_13),B)
| mult(mult(mult(X_34,X_34),X_13),B) = mult(mult(X_34,mult(X_34,X_13)),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(mult(X_34,X_34),X_13),B),mult(mult(mult(X_34,X_34),X_13),B)) ),[1,0],$fot(mult(X_34,mult(X_34,X_13)))]]) ).
cnf(refute_0_564,plain,
( mult(mult(X_34,X_34),X_13) != mult(X_34,mult(X_34,X_13))
| mult(mult(mult(X_34,X_34),X_13),B) = mult(mult(X_34,mult(X_34,X_13)),B) ),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_34,X_34),X_13),B),mult(mult(mult(X_34,X_34),X_13),B)) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
mult(mult(mult(X_34,X_34),X_13),B) = mult(mult(X_34,mult(X_34,X_13)),B),
inference(resolve,[$cnf( $equal(mult(mult(X_34,X_34),X_13),mult(X_34,mult(X_34,X_13))) )],[refute_0_561,refute_0_564]) ).
cnf(refute_0_566,plain,
mult(ld(X_150,X_150),mult(mult(mult(X_34,X_34),X_13),B)) = mult(mult(mult(X_34,X_34),X_13),B),
inference(subst,[],[refute_0_524:[bind(X_29,$fot(mult(mult(mult(X_34,X_34),X_13),B)))]]) ).
cnf(refute_0_567,plain,
( mult(ld(X_150,X_150),mult(mult(mult(X_34,X_34),X_13),B)) != mult(mult(mult(X_34,X_34),X_13),B)
| mult(mult(mult(X_34,X_34),X_13),B) != mult(mult(X_34,mult(X_34,X_13)),B)
| mult(ld(X_150,X_150),mult(mult(mult(X_34,X_34),X_13),B)) = mult(mult(X_34,mult(X_34,X_13)),B) ),
inference(subst,[],[refute_0_65:[bind(X,$fot(mult(ld(X_150,X_150),mult(mult(mult(X_34,X_34),X_13),B)))),bind(Y,$fot(mult(mult(mult(X_34,X_34),X_13),B))),bind(Z,$fot(mult(mult(X_34,mult(X_34,X_13)),B)))]]) ).
cnf(refute_0_568,plain,
( mult(mult(mult(X_34,X_34),X_13),B) != mult(mult(X_34,mult(X_34,X_13)),B)
| mult(ld(X_150,X_150),mult(mult(mult(X_34,X_34),X_13),B)) = mult(mult(X_34,mult(X_34,X_13)),B) ),
inference(resolve,[$cnf( $equal(mult(ld(X_150,X_150),mult(mult(mult(X_34,X_34),X_13),B)),mult(mult(mult(X_34,X_34),X_13),B)) )],[refute_0_566,refute_0_567]) ).
cnf(refute_0_569,plain,
mult(ld(X_150,X_150),mult(mult(mult(X_34,X_34),X_13),B)) = mult(mult(X_34,mult(X_34,X_13)),B),
inference(resolve,[$cnf( $equal(mult(mult(mult(X_34,X_34),X_13),B),mult(mult(X_34,mult(X_34,X_13)),B)) )],[refute_0_565,refute_0_568]) ).
cnf(refute_0_570,plain,
( mult(ld(X_150,X_150),mult(mult(mult(X_34,X_34),X_13),B)) != mult(X_34,mult(mult(X_34,X_13),B))
| mult(ld(X_150,X_150),mult(mult(mult(X_34,X_34),X_13),B)) != mult(mult(X_34,mult(X_34,X_13)),B)
| mult(mult(X_34,mult(X_34,X_13)),B) = mult(X_34,mult(mult(X_34,X_13),B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(ld(X_150,X_150),mult(mult(mult(X_34,X_34),X_13),B)),mult(X_34,mult(mult(X_34,X_13),B))) ),[0],$fot(mult(mult(X_34,mult(X_34,X_13)),B))]]) ).
cnf(refute_0_571,plain,
( mult(ld(X_150,X_150),mult(mult(mult(X_34,X_34),X_13),B)) != mult(X_34,mult(mult(X_34,X_13),B))
| mult(mult(X_34,mult(X_34,X_13)),B) = mult(X_34,mult(mult(X_34,X_13),B)) ),
inference(resolve,[$cnf( $equal(mult(ld(X_150,X_150),mult(mult(mult(X_34,X_34),X_13),B)),mult(mult(X_34,mult(X_34,X_13)),B)) )],[refute_0_569,refute_0_570]) ).
cnf(refute_0_572,plain,
mult(mult(X_34,mult(X_34,X_13)),B) = mult(X_34,mult(mult(X_34,X_13),B)),
inference(resolve,[$cnf( $equal(mult(ld(X_150,X_150),mult(mult(mult(X_34,X_34),X_13),B)),mult(X_34,mult(mult(X_34,X_13),B))) )],[refute_0_560,refute_0_571]) ).
cnf(refute_0_573,plain,
mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B)) = mult(X_115,mult(mult(X_115,X_115),ld(mult(X_115,X_115),B))),
inference(subst,[],[refute_0_572:[bind(B,$fot(ld(mult(X_115,X_115),B))),bind(X_13,$fot(X_115)),bind(X_34,$fot(X_115))]]) ).
cnf(refute_0_574,plain,
( mult(X_115,mult(mult(X_115,X_115),ld(mult(X_115,X_115),B))) != mult(X_115,B)
| mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B)) != mult(X_115,mult(mult(X_115,X_115),ld(mult(X_115,X_115),B)))
| mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B)) = mult(X_115,B) ),
inference(subst,[],[refute_0_65:[bind(X,$fot(mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B)))),bind(Y,$fot(mult(X_115,mult(mult(X_115,X_115),ld(mult(X_115,X_115),B))))),bind(Z,$fot(mult(X_115,B)))]]) ).
cnf(refute_0_575,plain,
( mult(X_115,mult(mult(X_115,X_115),ld(mult(X_115,X_115),B))) != mult(X_115,B)
| mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B)) = mult(X_115,B) ),
inference(resolve,[$cnf( $equal(mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B)),mult(X_115,mult(mult(X_115,X_115),ld(mult(X_115,X_115),B)))) )],[refute_0_573,refute_0_574]) ).
cnf(refute_0_576,plain,
mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B)) = mult(X_115,B),
inference(resolve,[$cnf( $equal(mult(X_115,mult(mult(X_115,X_115),ld(mult(X_115,X_115),B))),mult(X_115,B)) )],[refute_0_553,refute_0_575]) ).
cnf(refute_0_577,plain,
mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))) = mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))),
introduced(tautology,[refl,[$fot(mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))))]]) ).
cnf(refute_0_578,plain,
( mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))) != mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B)))
| mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B)) != mult(X_115,B)
| mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))) = mult(X_114,mult(X_115,B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))),mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B)))) ),[1,1],$fot(mult(X_115,B))]]) ).
cnf(refute_0_579,plain,
( mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B)) != mult(X_115,B)
| mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))) = mult(X_114,mult(X_115,B)) ),
inference(resolve,[$cnf( $equal(mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))),mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B)))) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))) = mult(X_114,mult(X_115,B)),
inference(resolve,[$cnf( $equal(mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B)),mult(X_115,B)) )],[refute_0_576,refute_0_579]) ).
cnf(refute_0_581,plain,
( mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))) != mult(X_114,mult(X_115,B))
| mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))) != mult(mult(X_114,X_115),B)
| mult(X_114,mult(X_115,B)) = mult(mult(X_114,X_115),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))),mult(mult(X_114,X_115),B)) ),[0],$fot(mult(X_114,mult(X_115,B)))]]) ).
cnf(refute_0_582,plain,
( mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))) != mult(mult(X_114,X_115),B)
| mult(X_114,mult(X_115,B)) = mult(mult(X_114,X_115),B) ),
inference(resolve,[$cnf( $equal(mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))),mult(X_114,mult(X_115,B))) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
mult(X_114,mult(X_115,B)) = mult(mult(X_114,X_115),B),
inference(resolve,[$cnf( $equal(mult(X_114,mult(mult(X_115,mult(X_115,X_115)),ld(mult(X_115,X_115),B))),mult(mult(X_114,X_115),B)) )],[refute_0_75,refute_0_582]) ).
cnf(refute_0_584,plain,
( mult(X_114,mult(X_115,B)) != mult(mult(X_114,X_115),B)
| mult(mult(X_114,X_115),B) = mult(X_114,mult(X_115,B)) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(mult(X_114,mult(X_115,B)))),bind(Y,$fot(mult(mult(X_114,X_115),B)))]]) ).
cnf(refute_0_585,plain,
mult(mult(X_114,X_115),B) = mult(X_114,mult(X_115,B)),
inference(resolve,[$cnf( $equal(mult(X_114,mult(X_115,B)),mult(mult(X_114,X_115),B)) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
mult(mult(a,b),c) = mult(a,mult(b,c)),
inference(subst,[],[refute_0_585:[bind(B,$fot(c)),bind(X_114,$fot(a)),bind(X_115,$fot(b))]]) ).
cnf(refute_0_587,plain,
( mult(a,mult(b,c)) != mult(a,mult(b,c))
| mult(mult(a,b),c) != mult(a,mult(b,c))
| mult(mult(a,b),c) = mult(a,mult(b,c)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(a,b),c),mult(a,mult(b,c))) ),[1],$fot(mult(a,mult(b,c)))]]) ).
cnf(refute_0_588,plain,
( mult(a,mult(b,c)) != mult(a,mult(b,c))
| mult(mult(a,b),c) = mult(a,mult(b,c)) ),
inference(resolve,[$cnf( $equal(mult(mult(a,b),c),mult(a,mult(b,c))) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
mult(a,mult(b,c)) != mult(a,mult(b,c)),
inference(resolve,[$cnf( $equal(mult(mult(a,b),c),mult(a,mult(b,c))) )],[refute_0_588,goals]) ).
cnf(refute_0_590,plain,
mult(a,mult(b,c)) = mult(a,mult(b,c)),
introduced(tautology,[refl,[$fot(mult(a,mult(b,c)))]]) ).
cnf(refute_0_591,plain,
$false,
inference(resolve,[$cnf( $equal(mult(a,mult(b,c)),mult(a,mult(b,c))) )],[refute_0_590,refute_0_589]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP756-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 09:00:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.96/2.14 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.96/2.14
% 1.96/2.14 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.05/2.22
%------------------------------------------------------------------------------