TSTP Solution File: GRP658-10 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP658-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.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 10:44:36 EDT 2022
% Result : Unsatisfiable 1.01s 1.19s
% Output : CNFRefutation 1.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 80
% Number of leaves : 164
% Syntax : Number of clauses : 673 ( 352 unt; 0 nHn; 293 RR)
% Number of literals : 1141 (1140 equ; 472 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 1616 ( 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(mult(A,mult(B,B)),C) = mult(mult(A,B),mult(B,C)) ).
cnf(goal,negated_conjecture,
tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)) ).
cnf(refute_0_0,plain,
tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),mult(x1_2(rd(X_109,X_109)),rd(X_109,X_109))) != tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109))),
inference(subst,[],[goal:[bind(X0,$fot(rd(X_109,X_109)))]]) ).
cnf(refute_0_1,plain,
rd(mult(mult(X_13,mult(X_14,X_14)),B),B) = mult(X_13,mult(X_14,X_14)),
inference(subst,[],[f04:[bind(A,$fot(mult(X_13,mult(X_14,X_14))))]]) ).
cnf(refute_0_2,plain,
mult(mult(X_13,mult(X_14,X_14)),B) = mult(mult(X_13,X_14),mult(X_14,B)),
inference(subst,[],[f05:[bind(A,$fot(X_13)),bind(B,$fot(X_14)),bind(C,$fot(B))]]) ).
cnf(refute_0_3,plain,
( mult(mult(X_13,mult(X_14,X_14)),B) != mult(mult(X_13,X_14),mult(X_14,B))
| rd(mult(mult(X_13,mult(X_14,X_14)),B),B) != mult(X_13,mult(X_14,X_14))
| rd(mult(mult(X_13,X_14),mult(X_14,B)),B) = mult(X_13,mult(X_14,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_13,mult(X_14,X_14)),B),B),mult(X_13,mult(X_14,X_14))) ),[0,0],$fot(mult(mult(X_13,X_14),mult(X_14,B)))]]) ).
cnf(refute_0_4,plain,
( rd(mult(mult(X_13,mult(X_14,X_14)),B),B) != mult(X_13,mult(X_14,X_14))
| rd(mult(mult(X_13,X_14),mult(X_14,B)),B) = mult(X_13,mult(X_14,X_14)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_13,mult(X_14,X_14)),B),mult(mult(X_13,X_14),mult(X_14,B))) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
rd(mult(mult(X_13,X_14),mult(X_14,B)),B) = mult(X_13,mult(X_14,X_14)),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_13,mult(X_14,X_14)),B),B),mult(X_13,mult(X_14,X_14))) )],[refute_0_1,refute_0_4]) ).
cnf(refute_0_6,plain,
rd(mult(mult(X_20,X_21),mult(X_21,ld(X_21,B))),ld(X_21,B)) = mult(X_20,mult(X_21,X_21)),
inference(subst,[],[refute_0_5:[bind(B,$fot(ld(X_21,B))),bind(X_13,$fot(X_20)),bind(X_14,$fot(X_21))]]) ).
cnf(refute_0_7,plain,
mult(X_21,ld(X_21,B)) = B,
inference(subst,[],[f01:[bind(A,$fot(X_21))]]) ).
cnf(refute_0_8,plain,
( mult(X_21,ld(X_21,B)) != B
| rd(mult(mult(X_20,X_21),mult(X_21,ld(X_21,B))),ld(X_21,B)) != mult(X_20,mult(X_21,X_21))
| rd(mult(mult(X_20,X_21),B),ld(X_21,B)) = mult(X_20,mult(X_21,X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_20,X_21),mult(X_21,ld(X_21,B))),ld(X_21,B)),mult(X_20,mult(X_21,X_21))) ),[0,0,1],$fot(B)]]) ).
cnf(refute_0_9,plain,
( rd(mult(mult(X_20,X_21),mult(X_21,ld(X_21,B))),ld(X_21,B)) != mult(X_20,mult(X_21,X_21))
| rd(mult(mult(X_20,X_21),B),ld(X_21,B)) = mult(X_20,mult(X_21,X_21)) ),
inference(resolve,[$cnf( $equal(mult(X_21,ld(X_21,B)),B) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
rd(mult(mult(X_20,X_21),B),ld(X_21,B)) = mult(X_20,mult(X_21,X_21)),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_20,X_21),mult(X_21,ld(X_21,B))),ld(X_21,B)),mult(X_20,mult(X_21,X_21))) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
rd(mult(mult(X_29,ld(X_29,B)),X_28),ld(ld(X_29,B),X_28)) = mult(X_29,mult(ld(X_29,B),ld(X_29,B))),
inference(subst,[],[refute_0_10:[bind(B,$fot(X_28)),bind(X_20,$fot(X_29)),bind(X_21,$fot(ld(X_29,B)))]]) ).
cnf(refute_0_12,plain,
mult(X_29,ld(X_29,B)) = B,
inference(subst,[],[f01:[bind(A,$fot(X_29))]]) ).
cnf(refute_0_13,plain,
( mult(X_29,ld(X_29,B)) != B
| rd(mult(mult(X_29,ld(X_29,B)),X_28),ld(ld(X_29,B),X_28)) != mult(X_29,mult(ld(X_29,B),ld(X_29,B)))
| rd(mult(B,X_28),ld(ld(X_29,B),X_28)) = mult(X_29,mult(ld(X_29,B),ld(X_29,B))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_29,ld(X_29,B)),X_28),ld(ld(X_29,B),X_28)),mult(X_29,mult(ld(X_29,B),ld(X_29,B)))) ),[0,0,0],$fot(B)]]) ).
cnf(refute_0_14,plain,
( rd(mult(mult(X_29,ld(X_29,B)),X_28),ld(ld(X_29,B),X_28)) != mult(X_29,mult(ld(X_29,B),ld(X_29,B)))
| rd(mult(B,X_28),ld(ld(X_29,B),X_28)) = mult(X_29,mult(ld(X_29,B),ld(X_29,B))) ),
inference(resolve,[$cnf( $equal(mult(X_29,ld(X_29,B)),B) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
rd(mult(B,X_28),ld(ld(X_29,B),X_28)) = mult(X_29,mult(ld(X_29,B),ld(X_29,B))),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_29,ld(X_29,B)),X_28),ld(ld(X_29,B),X_28)),mult(X_29,mult(ld(X_29,B),ld(X_29,B)))) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
rd(mult(B,X_28),ld(ld(B,B),X_28)) = mult(B,mult(ld(B,B),ld(B,B))),
inference(subst,[],[refute_0_15:[bind(X_29,$fot(B))]]) ).
cnf(refute_0_17,plain,
rd(mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,X_27)),mult(X_26,X_27)) = mult(rd(X_25,mult(X_26,X_26)),X_26),
inference(subst,[],[f04:[bind(A,$fot(mult(rd(X_25,mult(X_26,X_26)),X_26))),bind(B,$fot(mult(X_26,X_27)))]]) ).
cnf(refute_0_18,plain,
mult(mult(rd(A,mult(X_14,X_14)),mult(X_14,X_14)),X_15) = mult(mult(rd(A,mult(X_14,X_14)),X_14),mult(X_14,X_15)),
inference(subst,[],[f05:[bind(A,$fot(rd(A,mult(X_14,X_14)))),bind(B,$fot(X_14)),bind(C,$fot(X_15))]]) ).
cnf(refute_0_19,plain,
mult(rd(A,mult(X_14,X_14)),mult(X_14,X_14)) = A,
inference(subst,[],[f03:[bind(B,$fot(mult(X_14,X_14)))]]) ).
cnf(refute_0_20,plain,
( mult(mult(rd(A,mult(X_14,X_14)),mult(X_14,X_14)),X_15) != mult(mult(rd(A,mult(X_14,X_14)),X_14),mult(X_14,X_15))
| mult(rd(A,mult(X_14,X_14)),mult(X_14,X_14)) != A
| mult(A,X_15) = mult(mult(rd(A,mult(X_14,X_14)),X_14),mult(X_14,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(A,mult(X_14,X_14)),mult(X_14,X_14)),X_15),mult(mult(rd(A,mult(X_14,X_14)),X_14),mult(X_14,X_15))) ),[0,0],$fot(A)]]) ).
cnf(refute_0_21,plain,
( mult(mult(rd(A,mult(X_14,X_14)),mult(X_14,X_14)),X_15) != mult(mult(rd(A,mult(X_14,X_14)),X_14),mult(X_14,X_15))
| mult(A,X_15) = mult(mult(rd(A,mult(X_14,X_14)),X_14),mult(X_14,X_15)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,mult(X_14,X_14)),mult(X_14,X_14)),A) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
mult(A,X_15) = mult(mult(rd(A,mult(X_14,X_14)),X_14),mult(X_14,X_15)),
inference(resolve,[$cnf( $equal(mult(mult(rd(A,mult(X_14,X_14)),mult(X_14,X_14)),X_15),mult(mult(rd(A,mult(X_14,X_14)),X_14),mult(X_14,X_15))) )],[refute_0_18,refute_0_21]) ).
cnf(refute_0_23,plain,
mult(X_25,X_27) = mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,X_27)),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_25)),bind(X_14,$fot(X_26)),bind(X_15,$fot(X_27))]]) ).
cnf(refute_0_24,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_25,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_26,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
( mult(X_25,X_27) != mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,X_27))
| mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,X_27)) = mult(X_25,X_27) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(mult(X_25,X_27))),bind(Y,$fot(mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,X_27))))]]) ).
cnf(refute_0_28,plain,
mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,X_27)) = mult(X_25,X_27),
inference(resolve,[$cnf( $equal(mult(X_25,X_27),mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,X_27))) )],[refute_0_23,refute_0_27]) ).
cnf(refute_0_29,plain,
( mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,X_27)) != mult(X_25,X_27)
| rd(mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,X_27)),mult(X_26,X_27)) != mult(rd(X_25,mult(X_26,X_26)),X_26)
| rd(mult(X_25,X_27),mult(X_26,X_27)) = mult(rd(X_25,mult(X_26,X_26)),X_26) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,X_27)),mult(X_26,X_27)),mult(rd(X_25,mult(X_26,X_26)),X_26)) ),[0,0],$fot(mult(X_25,X_27))]]) ).
cnf(refute_0_30,plain,
( rd(mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,X_27)),mult(X_26,X_27)) != mult(rd(X_25,mult(X_26,X_26)),X_26)
| rd(mult(X_25,X_27),mult(X_26,X_27)) = mult(rd(X_25,mult(X_26,X_26)),X_26) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,X_27)),mult(X_25,X_27)) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
rd(mult(X_25,X_27),mult(X_26,X_27)) = mult(rd(X_25,mult(X_26,X_26)),X_26),
inference(resolve,[$cnf( $equal(rd(mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,X_27)),mult(X_26,X_27)),mult(rd(X_25,mult(X_26,X_26)),X_26)) )],[refute_0_17,refute_0_30]) ).
cnf(refute_0_32,plain,
rd(mult(rd(A,X_54),X_54),mult(X_53,X_54)) = mult(rd(rd(A,X_54),mult(X_53,X_53)),X_53),
inference(subst,[],[refute_0_31:[bind(X_25,$fot(rd(A,X_54))),bind(X_26,$fot(X_53)),bind(X_27,$fot(X_54))]]) ).
cnf(refute_0_33,plain,
mult(rd(A,X_54),X_54) = A,
inference(subst,[],[f03:[bind(B,$fot(X_54))]]) ).
cnf(refute_0_34,plain,
( mult(rd(A,X_54),X_54) != A
| rd(mult(rd(A,X_54),X_54),mult(X_53,X_54)) != mult(rd(rd(A,X_54),mult(X_53,X_53)),X_53)
| rd(A,mult(X_53,X_54)) = mult(rd(rd(A,X_54),mult(X_53,X_53)),X_53) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(A,X_54),X_54),mult(X_53,X_54)),mult(rd(rd(A,X_54),mult(X_53,X_53)),X_53)) ),[0,0],$fot(A)]]) ).
cnf(refute_0_35,plain,
( rd(mult(rd(A,X_54),X_54),mult(X_53,X_54)) != mult(rd(rd(A,X_54),mult(X_53,X_53)),X_53)
| rd(A,mult(X_53,X_54)) = mult(rd(rd(A,X_54),mult(X_53,X_53)),X_53) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_54),X_54),A) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
rd(A,mult(X_53,X_54)) = mult(rd(rd(A,X_54),mult(X_53,X_53)),X_53),
inference(resolve,[$cnf( $equal(rd(mult(rd(A,X_54),X_54),mult(X_53,X_54)),mult(rd(rd(A,X_54),mult(X_53,X_53)),X_53)) )],[refute_0_32,refute_0_35]) ).
cnf(refute_0_37,plain,
rd(mult(X_102,X_103),mult(X_102,X_103)) = mult(rd(rd(mult(X_102,X_103),X_103),mult(X_102,X_102)),X_102),
inference(subst,[],[refute_0_36:[bind(A,$fot(mult(X_102,X_103))),bind(X_53,$fot(X_102)),bind(X_54,$fot(X_103))]]) ).
cnf(refute_0_38,plain,
rd(mult(mult(rd(X_41,mult(X_42,X_42)),X_42),B),B) = mult(rd(X_41,mult(X_42,X_42)),X_42),
inference(subst,[],[f04:[bind(A,$fot(mult(rd(X_41,mult(X_42,X_42)),X_42)))]]) ).
cnf(refute_0_39,plain,
mult(X_25,ld(X_26,B)) = mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,ld(X_26,B))),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_25)),bind(X_14,$fot(X_26)),bind(X_15,$fot(ld(X_26,B)))]]) ).
cnf(refute_0_40,plain,
mult(X_26,ld(X_26,B)) = B,
inference(subst,[],[f01:[bind(A,$fot(X_26))]]) ).
cnf(refute_0_41,plain,
( mult(X_25,ld(X_26,B)) != mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,ld(X_26,B)))
| mult(X_26,ld(X_26,B)) != B
| mult(X_25,ld(X_26,B)) = mult(mult(rd(X_25,mult(X_26,X_26)),X_26),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_25,ld(X_26,B)),mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,ld(X_26,B)))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_42,plain,
( mult(X_25,ld(X_26,B)) != mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,ld(X_26,B)))
| mult(X_25,ld(X_26,B)) = mult(mult(rd(X_25,mult(X_26,X_26)),X_26),B) ),
inference(resolve,[$cnf( $equal(mult(X_26,ld(X_26,B)),B) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
mult(X_25,ld(X_26,B)) = mult(mult(rd(X_25,mult(X_26,X_26)),X_26),B),
inference(resolve,[$cnf( $equal(mult(X_25,ld(X_26,B)),mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,ld(X_26,B)))) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
mult(X_41,ld(X_42,B)) = mult(mult(rd(X_41,mult(X_42,X_42)),X_42),B),
inference(subst,[],[refute_0_43:[bind(X_25,$fot(X_41)),bind(X_26,$fot(X_42))]]) ).
cnf(refute_0_45,plain,
( mult(X_41,ld(X_42,B)) != mult(mult(rd(X_41,mult(X_42,X_42)),X_42),B)
| mult(mult(rd(X_41,mult(X_42,X_42)),X_42),B) = mult(X_41,ld(X_42,B)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(mult(X_41,ld(X_42,B)))),bind(Y,$fot(mult(mult(rd(X_41,mult(X_42,X_42)),X_42),B)))]]) ).
cnf(refute_0_46,plain,
mult(mult(rd(X_41,mult(X_42,X_42)),X_42),B) = mult(X_41,ld(X_42,B)),
inference(resolve,[$cnf( $equal(mult(X_41,ld(X_42,B)),mult(mult(rd(X_41,mult(X_42,X_42)),X_42),B)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
( mult(mult(rd(X_41,mult(X_42,X_42)),X_42),B) != mult(X_41,ld(X_42,B))
| rd(mult(mult(rd(X_41,mult(X_42,X_42)),X_42),B),B) != mult(rd(X_41,mult(X_42,X_42)),X_42)
| rd(mult(X_41,ld(X_42,B)),B) = mult(rd(X_41,mult(X_42,X_42)),X_42) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(rd(X_41,mult(X_42,X_42)),X_42),B),B),mult(rd(X_41,mult(X_42,X_42)),X_42)) ),[0,0],$fot(mult(X_41,ld(X_42,B)))]]) ).
cnf(refute_0_48,plain,
( rd(mult(mult(rd(X_41,mult(X_42,X_42)),X_42),B),B) != mult(rd(X_41,mult(X_42,X_42)),X_42)
| rd(mult(X_41,ld(X_42,B)),B) = mult(rd(X_41,mult(X_42,X_42)),X_42) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_41,mult(X_42,X_42)),X_42),B),mult(X_41,ld(X_42,B))) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
rd(mult(X_41,ld(X_42,B)),B) = mult(rd(X_41,mult(X_42,X_42)),X_42),
inference(resolve,[$cnf( $equal(rd(mult(mult(rd(X_41,mult(X_42,X_42)),X_42),B),B),mult(rd(X_41,mult(X_42,X_42)),X_42)) )],[refute_0_38,refute_0_48]) ).
cnf(refute_0_50,plain,
rd(mult(X_57,ld(X_57,X_55)),X_55) = mult(rd(X_57,mult(X_57,X_57)),X_57),
inference(subst,[],[refute_0_49:[bind(B,$fot(X_55)),bind(X_41,$fot(X_57)),bind(X_42,$fot(X_57))]]) ).
cnf(refute_0_51,plain,
mult(X_57,ld(X_57,X_55)) = X_55,
inference(subst,[],[f01:[bind(A,$fot(X_57)),bind(B,$fot(X_55))]]) ).
cnf(refute_0_52,plain,
( mult(X_57,ld(X_57,X_55)) != X_55
| rd(mult(X_57,ld(X_57,X_55)),X_55) != mult(rd(X_57,mult(X_57,X_57)),X_57)
| rd(X_55,X_55) = mult(rd(X_57,mult(X_57,X_57)),X_57) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_57,ld(X_57,X_55)),X_55),mult(rd(X_57,mult(X_57,X_57)),X_57)) ),[0,0],$fot(X_55)]]) ).
cnf(refute_0_53,plain,
( rd(mult(X_57,ld(X_57,X_55)),X_55) != mult(rd(X_57,mult(X_57,X_57)),X_57)
| rd(X_55,X_55) = mult(rd(X_57,mult(X_57,X_57)),X_57) ),
inference(resolve,[$cnf( $equal(mult(X_57,ld(X_57,X_55)),X_55) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
rd(X_55,X_55) = mult(rd(X_57,mult(X_57,X_57)),X_57),
inference(resolve,[$cnf( $equal(rd(mult(X_57,ld(X_57,X_55)),X_55),mult(rd(X_57,mult(X_57,X_57)),X_57)) )],[refute_0_50,refute_0_53]) ).
cnf(refute_0_55,plain,
rd(X_58,X_58) = mult(rd(X_57,mult(X_57,X_57)),X_57),
inference(subst,[],[refute_0_54:[bind(X_55,$fot(X_58))]]) ).
cnf(refute_0_56,plain,
( rd(X_58,X_58) != mult(rd(X_57,mult(X_57,X_57)),X_57)
| mult(rd(X_57,mult(X_57,X_57)),X_57) = rd(X_58,X_58) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(rd(X_58,X_58))),bind(Y,$fot(mult(rd(X_57,mult(X_57,X_57)),X_57)))]]) ).
cnf(refute_0_57,plain,
mult(rd(X_57,mult(X_57,X_57)),X_57) = rd(X_58,X_58),
inference(resolve,[$cnf( $equal(rd(X_58,X_58),mult(rd(X_57,mult(X_57,X_57)),X_57)) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
( mult(rd(X_57,mult(X_57,X_57)),X_57) != rd(X_58,X_58)
| rd(X_55,X_55) != mult(rd(X_57,mult(X_57,X_57)),X_57)
| rd(X_55,X_55) = rd(X_58,X_58) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_55,X_55),mult(rd(X_57,mult(X_57,X_57)),X_57)) ),[1],$fot(rd(X_58,X_58))]]) ).
cnf(refute_0_59,plain,
( rd(X_55,X_55) != mult(rd(X_57,mult(X_57,X_57)),X_57)
| rd(X_55,X_55) = rd(X_58,X_58) ),
inference(resolve,[$cnf( $equal(mult(rd(X_57,mult(X_57,X_57)),X_57),rd(X_58,X_58)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
rd(X_55,X_55) = rd(X_58,X_58),
inference(resolve,[$cnf( $equal(rd(X_55,X_55),mult(rd(X_57,mult(X_57,X_57)),X_57)) )],[refute_0_54,refute_0_59]) ).
cnf(refute_0_61,plain,
rd(X_55,X_55) = rd(mult(X_102,X_103),mult(X_102,X_103)),
inference(subst,[],[refute_0_60:[bind(X_58,$fot(mult(X_102,X_103)))]]) ).
cnf(refute_0_62,plain,
( rd(X_55,X_55) != rd(mult(X_102,X_103),mult(X_102,X_103))
| rd(mult(X_102,X_103),mult(X_102,X_103)) = rd(X_55,X_55) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(rd(X_55,X_55))),bind(Y,$fot(rd(mult(X_102,X_103),mult(X_102,X_103))))]]) ).
cnf(refute_0_63,plain,
rd(mult(X_102,X_103),mult(X_102,X_103)) = rd(X_55,X_55),
inference(resolve,[$cnf( $equal(rd(X_55,X_55),rd(mult(X_102,X_103),mult(X_102,X_103))) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
( rd(mult(X_102,X_103),mult(X_102,X_103)) != mult(rd(rd(mult(X_102,X_103),X_103),mult(X_102,X_102)),X_102)
| rd(mult(X_102,X_103),mult(X_102,X_103)) != rd(X_55,X_55)
| rd(X_55,X_55) = mult(rd(rd(mult(X_102,X_103),X_103),mult(X_102,X_102)),X_102) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_102,X_103),mult(X_102,X_103)),mult(rd(rd(mult(X_102,X_103),X_103),mult(X_102,X_102)),X_102)) ),[0],$fot(rd(X_55,X_55))]]) ).
cnf(refute_0_65,plain,
( rd(mult(X_102,X_103),mult(X_102,X_103)) != mult(rd(rd(mult(X_102,X_103),X_103),mult(X_102,X_102)),X_102)
| rd(X_55,X_55) = mult(rd(rd(mult(X_102,X_103),X_103),mult(X_102,X_102)),X_102) ),
inference(resolve,[$cnf( $equal(rd(mult(X_102,X_103),mult(X_102,X_103)),rd(X_55,X_55)) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
rd(X_55,X_55) = mult(rd(rd(mult(X_102,X_103),X_103),mult(X_102,X_102)),X_102),
inference(resolve,[$cnf( $equal(rd(mult(X_102,X_103),mult(X_102,X_103)),mult(rd(rd(mult(X_102,X_103),X_103),mult(X_102,X_102)),X_102)) )],[refute_0_37,refute_0_65]) ).
cnf(refute_0_67,plain,
mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),mult(B,B)),C) = mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),B),mult(B,C)),
inference(subst,[],[f05:[bind(A,$fot(rd(mult(B,B),mult(mult(B,B),mult(B,B)))))]]) ).
cnf(refute_0_68,plain,
rd(X_58,X_58) = mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),mult(B,B)),
inference(subst,[],[refute_0_54:[bind(X_55,$fot(X_58)),bind(X_57,$fot(mult(B,B)))]]) ).
cnf(refute_0_69,plain,
( rd(X_58,X_58) != mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),mult(B,B))
| mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),mult(B,B)) = rd(X_58,X_58) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(rd(X_58,X_58))),bind(Y,$fot(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),mult(B,B))))]]) ).
cnf(refute_0_70,plain,
mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),mult(B,B)) = rd(X_58,X_58),
inference(resolve,[$cnf( $equal(rd(X_58,X_58),mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),mult(B,B))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
( mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),mult(B,B)),C) != mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),B),mult(B,C))
| mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),mult(B,B)) != rd(X_58,X_58)
| mult(rd(X_58,X_58),C) = mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),B),mult(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),mult(B,B)),C),mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),B),mult(B,C))) ),[0,0],$fot(rd(X_58,X_58))]]) ).
cnf(refute_0_72,plain,
( mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),mult(B,B)),C) != mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),B),mult(B,C))
| mult(rd(X_58,X_58),C) = mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),B),mult(B,C)) ),
inference(resolve,[$cnf( $equal(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),mult(B,B)),rd(X_58,X_58)) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
mult(rd(X_58,X_58),C) = mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),B),mult(B,C)),
inference(resolve,[$cnf( $equal(mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),mult(B,B)),C),mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),B),mult(B,C))) )],[refute_0_67,refute_0_72]) ).
cnf(refute_0_74,plain,
mult(mult(B,B),ld(mult(B,B),C)) = C,
inference(subst,[],[f01:[bind(A,$fot(mult(B,B))),bind(B,$fot(C))]]) ).
cnf(refute_0_75,plain,
mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),mult(B,B)),C) = mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C)),
inference(subst,[],[f05:[bind(A,$fot(rd(X_41,mult(mult(B,B),mult(B,B)))))]]) ).
cnf(refute_0_76,plain,
mult(X_41,ld(mult(B,B),C)) = mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),mult(B,B)),C),
inference(subst,[],[refute_0_43:[bind(B,$fot(C)),bind(X_25,$fot(X_41)),bind(X_26,$fot(mult(B,B)))]]) ).
cnf(refute_0_77,plain,
( mult(X_41,ld(mult(B,B),C)) != mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),mult(B,B)),C)
| mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),mult(B,B)),C) = mult(X_41,ld(mult(B,B),C)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(mult(X_41,ld(mult(B,B),C)))),bind(Y,$fot(mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),mult(B,B)),C)))]]) ).
cnf(refute_0_78,plain,
mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),mult(B,B)),C) = mult(X_41,ld(mult(B,B),C)),
inference(resolve,[$cnf( $equal(mult(X_41,ld(mult(B,B),C)),mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),mult(B,B)),C)) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
( mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),mult(B,B)),C) != mult(X_41,ld(mult(B,B),C))
| mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),mult(B,B)),C) != mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C))
| mult(X_41,ld(mult(B,B),C)) = mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),mult(B,B)),C),mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C))) ),[0],$fot(mult(X_41,ld(mult(B,B),C)))]]) ).
cnf(refute_0_80,plain,
( mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),mult(B,B)),C) != mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C))
| mult(X_41,ld(mult(B,B),C)) = mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C)) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),mult(B,B)),C),mult(X_41,ld(mult(B,B),C))) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
mult(X_41,ld(mult(B,B),C)) = mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C)),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),mult(B,B)),C),mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C))) )],[refute_0_75,refute_0_80]) ).
cnf(refute_0_82,plain,
( mult(X_41,ld(mult(B,B),C)) != mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C))
| mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C)) = mult(X_41,ld(mult(B,B),C)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(mult(X_41,ld(mult(B,B),C)))),bind(Y,$fot(mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C))))]]) ).
cnf(refute_0_83,plain,
mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C)) = mult(X_41,ld(mult(B,B),C)),
inference(resolve,[$cnf( $equal(mult(X_41,ld(mult(B,B),C)),mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),B),mult(B,C)) = mult(mult(B,B),ld(mult(B,B),C)),
inference(subst,[],[refute_0_83:[bind(X_41,$fot(mult(B,B)))]]) ).
cnf(refute_0_85,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_86,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_26,refute_0_85]) ).
cnf(refute_0_87,plain,
( mult(mult(B,B),ld(mult(B,B),C)) != C
| mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),B),mult(B,C)) != mult(mult(B,B),ld(mult(B,B),C))
| mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),B),mult(B,C)) = C ),
inference(subst,[],[refute_0_86:[bind(X,$fot(mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),B),mult(B,C)))),bind(Y,$fot(mult(mult(B,B),ld(mult(B,B),C)))),bind(Z,$fot(C))]]) ).
cnf(refute_0_88,plain,
( mult(mult(B,B),ld(mult(B,B),C)) != C
| mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),B),mult(B,C)) = C ),
inference(resolve,[$cnf( $equal(mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),B),mult(B,C)),mult(mult(B,B),ld(mult(B,B),C))) )],[refute_0_84,refute_0_87]) ).
cnf(refute_0_89,plain,
mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),B),mult(B,C)) = C,
inference(resolve,[$cnf( $equal(mult(mult(B,B),ld(mult(B,B),C)),C) )],[refute_0_74,refute_0_88]) ).
cnf(refute_0_90,plain,
( mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),B),mult(B,C)) != C
| mult(rd(X_58,X_58),C) != mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),B),mult(B,C))
| mult(rd(X_58,X_58),C) = C ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_58,X_58),C),mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),B),mult(B,C))) ),[1],$fot(C)]]) ).
cnf(refute_0_91,plain,
( mult(rd(X_58,X_58),C) != mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),B),mult(B,C))
| mult(rd(X_58,X_58),C) = C ),
inference(resolve,[$cnf( $equal(mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),B),mult(B,C)),C) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
mult(rd(X_58,X_58),C) = C,
inference(resolve,[$cnf( $equal(mult(rd(X_58,X_58),C),mult(mult(rd(mult(B,B),mult(mult(B,B),mult(B,B))),B),mult(B,C))) )],[refute_0_73,refute_0_91]) ).
cnf(refute_0_93,plain,
mult(rd(X_102,X_102),ld(X_102,X_102)) = ld(X_102,X_102),
inference(subst,[],[refute_0_92:[bind(C,$fot(ld(X_102,X_102))),bind(X_58,$fot(X_102))]]) ).
cnf(refute_0_94,plain,
rd(mult(X_102,X_103),X_103) = X_102,
inference(subst,[],[f04:[bind(A,$fot(X_102)),bind(B,$fot(X_103))]]) ).
cnf(refute_0_95,plain,
rd(rd(mult(X_102,X_103),X_103),X_102) = rd(rd(mult(X_102,X_103),X_103),X_102),
introduced(tautology,[refl,[$fot(rd(rd(mult(X_102,X_103),X_103),X_102))]]) ).
cnf(refute_0_96,plain,
( rd(mult(X_102,X_103),X_103) != X_102
| rd(rd(mult(X_102,X_103),X_103),X_102) != rd(rd(mult(X_102,X_103),X_103),X_102)
| rd(rd(mult(X_102,X_103),X_103),X_102) = rd(X_102,X_102) ),
introduced(tautology,[equality,[$cnf( $equal(rd(rd(mult(X_102,X_103),X_103),X_102),rd(rd(mult(X_102,X_103),X_103),X_102)) ),[1,0],$fot(X_102)]]) ).
cnf(refute_0_97,plain,
( rd(mult(X_102,X_103),X_103) != X_102
| rd(rd(mult(X_102,X_103),X_103),X_102) = rd(X_102,X_102) ),
inference(resolve,[$cnf( $equal(rd(rd(mult(X_102,X_103),X_103),X_102),rd(rd(mult(X_102,X_103),X_103),X_102)) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
rd(rd(mult(X_102,X_103),X_103),X_102) = rd(X_102,X_102),
inference(resolve,[$cnf( $equal(rd(mult(X_102,X_103),X_103),X_102) )],[refute_0_94,refute_0_97]) ).
cnf(refute_0_99,plain,
mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102)) = mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102)),
introduced(tautology,[refl,[$fot(mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102)))]]) ).
cnf(refute_0_100,plain,
( mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102)) != mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102))
| rd(rd(mult(X_102,X_103),X_103),X_102) != rd(X_102,X_102)
| mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102)) = mult(rd(X_102,X_102),ld(X_102,X_102)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102)),mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102))) ),[1,0],$fot(rd(X_102,X_102))]]) ).
cnf(refute_0_101,plain,
( rd(rd(mult(X_102,X_103),X_103),X_102) != rd(X_102,X_102)
| mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102)) = mult(rd(X_102,X_102),ld(X_102,X_102)) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102)),mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102))) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102)) = mult(rd(X_102,X_102),ld(X_102,X_102)),
inference(resolve,[$cnf( $equal(rd(rd(mult(X_102,X_103),X_103),X_102),rd(X_102,X_102)) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
( mult(rd(X_102,X_102),ld(X_102,X_102)) != ld(X_102,X_102)
| mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102)) != mult(rd(X_102,X_102),ld(X_102,X_102))
| mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102)) = ld(X_102,X_102) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102)))),bind(Y,$fot(mult(rd(X_102,X_102),ld(X_102,X_102)))),bind(Z,$fot(ld(X_102,X_102)))]]) ).
cnf(refute_0_104,plain,
( mult(rd(X_102,X_102),ld(X_102,X_102)) != ld(X_102,X_102)
| mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102)) = ld(X_102,X_102) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102)),mult(rd(X_102,X_102),ld(X_102,X_102))) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102)) = ld(X_102,X_102),
inference(resolve,[$cnf( $equal(mult(rd(X_102,X_102),ld(X_102,X_102)),ld(X_102,X_102)) )],[refute_0_93,refute_0_104]) ).
cnf(refute_0_106,plain,
mult(rd(X_101,X_103),ld(X_26,B)) = mult(mult(rd(rd(X_101,X_103),mult(X_26,X_26)),X_26),B),
inference(subst,[],[refute_0_43:[bind(X_25,$fot(rd(X_101,X_103)))]]) ).
cnf(refute_0_107,plain,
rd(X_101,mult(X_26,X_103)) = mult(rd(rd(X_101,X_103),mult(X_26,X_26)),X_26),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_101)),bind(X_53,$fot(X_26)),bind(X_54,$fot(X_103))]]) ).
cnf(refute_0_108,plain,
( rd(X_101,mult(X_26,X_103)) != mult(rd(rd(X_101,X_103),mult(X_26,X_26)),X_26)
| mult(rd(rd(X_101,X_103),mult(X_26,X_26)),X_26) = rd(X_101,mult(X_26,X_103)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(rd(X_101,mult(X_26,X_103)))),bind(Y,$fot(mult(rd(rd(X_101,X_103),mult(X_26,X_26)),X_26)))]]) ).
cnf(refute_0_109,plain,
mult(rd(rd(X_101,X_103),mult(X_26,X_26)),X_26) = rd(X_101,mult(X_26,X_103)),
inference(resolve,[$cnf( $equal(rd(X_101,mult(X_26,X_103)),mult(rd(rd(X_101,X_103),mult(X_26,X_26)),X_26)) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
( mult(rd(X_101,X_103),ld(X_26,B)) != mult(mult(rd(rd(X_101,X_103),mult(X_26,X_26)),X_26),B)
| mult(rd(rd(X_101,X_103),mult(X_26,X_26)),X_26) != rd(X_101,mult(X_26,X_103))
| mult(rd(X_101,X_103),ld(X_26,B)) = mult(rd(X_101,mult(X_26,X_103)),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_101,X_103),ld(X_26,B)),mult(mult(rd(rd(X_101,X_103),mult(X_26,X_26)),X_26),B)) ),[1,0],$fot(rd(X_101,mult(X_26,X_103)))]]) ).
cnf(refute_0_111,plain,
( mult(rd(X_101,X_103),ld(X_26,B)) != mult(mult(rd(rd(X_101,X_103),mult(X_26,X_26)),X_26),B)
| mult(rd(X_101,X_103),ld(X_26,B)) = mult(rd(X_101,mult(X_26,X_103)),B) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_101,X_103),mult(X_26,X_26)),X_26),rd(X_101,mult(X_26,X_103))) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
mult(rd(X_101,X_103),ld(X_26,B)) = mult(rd(X_101,mult(X_26,X_103)),B),
inference(resolve,[$cnf( $equal(mult(rd(X_101,X_103),ld(X_26,B)),mult(mult(rd(rd(X_101,X_103),mult(X_26,X_26)),X_26),B)) )],[refute_0_106,refute_0_111]) ).
cnf(refute_0_113,plain,
( mult(rd(X_101,X_103),ld(X_26,B)) != mult(rd(X_101,mult(X_26,X_103)),B)
| mult(rd(X_101,mult(X_26,X_103)),B) = mult(rd(X_101,X_103),ld(X_26,B)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(mult(rd(X_101,X_103),ld(X_26,B)))),bind(Y,$fot(mult(rd(X_101,mult(X_26,X_103)),B)))]]) ).
cnf(refute_0_114,plain,
mult(rd(X_101,mult(X_26,X_103)),B) = mult(rd(X_101,X_103),ld(X_26,B)),
inference(resolve,[$cnf( $equal(mult(rd(X_101,X_103),ld(X_26,B)),mult(rd(X_101,mult(X_26,X_103)),B)) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
mult(rd(rd(mult(X_102,X_103),X_103),mult(X_102,X_102)),X_102) = mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102)),
inference(subst,[],[refute_0_114:[bind(B,$fot(X_102)),bind(X_101,$fot(rd(mult(X_102,X_103),X_103))),bind(X_103,$fot(X_102)),bind(X_26,$fot(X_102))]]) ).
cnf(refute_0_116,plain,
( mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102)) != ld(X_102,X_102)
| mult(rd(rd(mult(X_102,X_103),X_103),mult(X_102,X_102)),X_102) != mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102))
| mult(rd(rd(mult(X_102,X_103),X_103),mult(X_102,X_102)),X_102) = ld(X_102,X_102) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(mult(rd(rd(mult(X_102,X_103),X_103),mult(X_102,X_102)),X_102))),bind(Y,$fot(mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102)))),bind(Z,$fot(ld(X_102,X_102)))]]) ).
cnf(refute_0_117,plain,
( mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102)) != ld(X_102,X_102)
| mult(rd(rd(mult(X_102,X_103),X_103),mult(X_102,X_102)),X_102) = ld(X_102,X_102) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(mult(X_102,X_103),X_103),mult(X_102,X_102)),X_102),mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102))) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
mult(rd(rd(mult(X_102,X_103),X_103),mult(X_102,X_102)),X_102) = ld(X_102,X_102),
inference(resolve,[$cnf( $equal(mult(rd(rd(mult(X_102,X_103),X_103),X_102),ld(X_102,X_102)),ld(X_102,X_102)) )],[refute_0_105,refute_0_117]) ).
cnf(refute_0_119,plain,
( mult(rd(rd(mult(X_102,X_103),X_103),mult(X_102,X_102)),X_102) != ld(X_102,X_102)
| rd(X_55,X_55) != mult(rd(rd(mult(X_102,X_103),X_103),mult(X_102,X_102)),X_102)
| rd(X_55,X_55) = ld(X_102,X_102) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_55,X_55),mult(rd(rd(mult(X_102,X_103),X_103),mult(X_102,X_102)),X_102)) ),[1],$fot(ld(X_102,X_102))]]) ).
cnf(refute_0_120,plain,
( rd(X_55,X_55) != mult(rd(rd(mult(X_102,X_103),X_103),mult(X_102,X_102)),X_102)
| rd(X_55,X_55) = ld(X_102,X_102) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(mult(X_102,X_103),X_103),mult(X_102,X_102)),X_102),ld(X_102,X_102)) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
rd(X_55,X_55) = ld(X_102,X_102),
inference(resolve,[$cnf( $equal(rd(X_55,X_55),mult(rd(rd(mult(X_102,X_103),X_103),mult(X_102,X_102)),X_102)) )],[refute_0_66,refute_0_120]) ).
cnf(refute_0_122,plain,
rd(X_105,X_105) = ld(B,B),
inference(subst,[],[refute_0_121:[bind(X_102,$fot(B)),bind(X_55,$fot(X_105))]]) ).
cnf(refute_0_123,plain,
( rd(X_105,X_105) != ld(B,B)
| ld(B,B) = rd(X_105,X_105) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(rd(X_105,X_105))),bind(Y,$fot(ld(B,B)))]]) ).
cnf(refute_0_124,plain,
ld(B,B) = rd(X_105,X_105),
inference(resolve,[$cnf( $equal(rd(X_105,X_105),ld(B,B)) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
( ld(B,B) != rd(X_105,X_105)
| rd(mult(B,X_28),ld(ld(B,B),X_28)) != mult(B,mult(ld(B,B),ld(B,B)))
| rd(mult(B,X_28),ld(ld(B,B),X_28)) = mult(B,mult(ld(B,B),rd(X_105,X_105))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(B,X_28),ld(ld(B,B),X_28)),mult(B,mult(ld(B,B),ld(B,B)))) ),[1,1,1],$fot(rd(X_105,X_105))]]) ).
cnf(refute_0_126,plain,
( rd(mult(B,X_28),ld(ld(B,B),X_28)) != mult(B,mult(ld(B,B),ld(B,B)))
| rd(mult(B,X_28),ld(ld(B,B),X_28)) = mult(B,mult(ld(B,B),rd(X_105,X_105))) ),
inference(resolve,[$cnf( $equal(ld(B,B),rd(X_105,X_105)) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
rd(mult(B,X_28),ld(ld(B,B),X_28)) = mult(B,mult(ld(B,B),rd(X_105,X_105))),
inference(resolve,[$cnf( $equal(rd(mult(B,X_28),ld(ld(B,B),X_28)),mult(B,mult(ld(B,B),ld(B,B)))) )],[refute_0_16,refute_0_126]) ).
cnf(refute_0_128,plain,
rd(mult(B,X_28),X_28) = B,
inference(subst,[],[f04:[bind(A,$fot(B)),bind(B,$fot(X_28))]]) ).
cnf(refute_0_129,plain,
mult(rd(X_61,X_61),ld(rd(X_61,X_61),B)) = B,
inference(subst,[],[f01:[bind(A,$fot(rd(X_61,X_61)))]]) ).
cnf(refute_0_130,plain,
mult(rd(X_61,X_61),ld(rd(X_61,X_61),B)) = ld(rd(X_61,X_61),B),
inference(subst,[],[refute_0_92:[bind(C,$fot(ld(rd(X_61,X_61),B))),bind(X_58,$fot(X_61))]]) ).
cnf(refute_0_131,plain,
( mult(rd(X_61,X_61),ld(rd(X_61,X_61),B)) != B
| mult(rd(X_61,X_61),ld(rd(X_61,X_61),B)) != ld(rd(X_61,X_61),B)
| ld(rd(X_61,X_61),B) = B ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_61,X_61),ld(rd(X_61,X_61),B)),B) ),[0],$fot(ld(rd(X_61,X_61),B))]]) ).
cnf(refute_0_132,plain,
( mult(rd(X_61,X_61),ld(rd(X_61,X_61),B)) != B
| ld(rd(X_61,X_61),B) = B ),
inference(resolve,[$cnf( $equal(mult(rd(X_61,X_61),ld(rd(X_61,X_61),B)),ld(rd(X_61,X_61),B)) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
ld(rd(X_61,X_61),B) = B,
inference(resolve,[$cnf( $equal(mult(rd(X_61,X_61),ld(rd(X_61,X_61),B)),B) )],[refute_0_129,refute_0_132]) ).
cnf(refute_0_134,plain,
rd(X_61,X_61) = ld(X_104,X_104),
inference(subst,[],[refute_0_121:[bind(X_102,$fot(X_104)),bind(X_55,$fot(X_61))]]) ).
cnf(refute_0_135,plain,
( ld(rd(X_61,X_61),B) != B
| rd(X_61,X_61) != ld(X_104,X_104)
| ld(ld(X_104,X_104),B) = B ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_61,X_61),B),B) ),[0,0],$fot(ld(X_104,X_104))]]) ).
cnf(refute_0_136,plain,
( ld(rd(X_61,X_61),B) != B
| ld(ld(X_104,X_104),B) = B ),
inference(resolve,[$cnf( $equal(rd(X_61,X_61),ld(X_104,X_104)) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
ld(ld(X_104,X_104),B) = B,
inference(resolve,[$cnf( $equal(ld(rd(X_61,X_61),B),B) )],[refute_0_133,refute_0_136]) ).
cnf(refute_0_138,plain,
ld(ld(B,B),X_28) = X_28,
inference(subst,[],[refute_0_137:[bind(B,$fot(X_28)),bind(X_104,$fot(B))]]) ).
cnf(refute_0_139,plain,
rd(mult(B,X_28),ld(ld(B,B),X_28)) = rd(mult(B,X_28),ld(ld(B,B),X_28)),
introduced(tautology,[refl,[$fot(rd(mult(B,X_28),ld(ld(B,B),X_28)))]]) ).
cnf(refute_0_140,plain,
( ld(ld(B,B),X_28) != X_28
| rd(mult(B,X_28),ld(ld(B,B),X_28)) != rd(mult(B,X_28),ld(ld(B,B),X_28))
| rd(mult(B,X_28),ld(ld(B,B),X_28)) = rd(mult(B,X_28),X_28) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(B,X_28),ld(ld(B,B),X_28)),rd(mult(B,X_28),ld(ld(B,B),X_28))) ),[1,1],$fot(X_28)]]) ).
cnf(refute_0_141,plain,
( ld(ld(B,B),X_28) != X_28
| rd(mult(B,X_28),ld(ld(B,B),X_28)) = rd(mult(B,X_28),X_28) ),
inference(resolve,[$cnf( $equal(rd(mult(B,X_28),ld(ld(B,B),X_28)),rd(mult(B,X_28),ld(ld(B,B),X_28))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
rd(mult(B,X_28),ld(ld(B,B),X_28)) = rd(mult(B,X_28),X_28),
inference(resolve,[$cnf( $equal(ld(ld(B,B),X_28),X_28) )],[refute_0_138,refute_0_141]) ).
cnf(refute_0_143,plain,
( rd(mult(B,X_28),X_28) != B
| rd(mult(B,X_28),ld(ld(B,B),X_28)) != rd(mult(B,X_28),X_28)
| rd(mult(B,X_28),ld(ld(B,B),X_28)) = B ),
inference(subst,[],[refute_0_86:[bind(X,$fot(rd(mult(B,X_28),ld(ld(B,B),X_28)))),bind(Y,$fot(rd(mult(B,X_28),X_28))),bind(Z,$fot(B))]]) ).
cnf(refute_0_144,plain,
( rd(mult(B,X_28),X_28) != B
| rd(mult(B,X_28),ld(ld(B,B),X_28)) = B ),
inference(resolve,[$cnf( $equal(rd(mult(B,X_28),ld(ld(B,B),X_28)),rd(mult(B,X_28),X_28)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
rd(mult(B,X_28),ld(ld(B,B),X_28)) = B,
inference(resolve,[$cnf( $equal(rd(mult(B,X_28),X_28),B) )],[refute_0_128,refute_0_144]) ).
cnf(refute_0_146,plain,
( rd(mult(B,X_28),ld(ld(B,B),X_28)) != B
| rd(mult(B,X_28),ld(ld(B,B),X_28)) != mult(B,mult(ld(B,B),rd(X_105,X_105)))
| B = mult(B,mult(ld(B,B),rd(X_105,X_105))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(B,X_28),ld(ld(B,B),X_28)),mult(B,mult(ld(B,B),rd(X_105,X_105)))) ),[0],$fot(B)]]) ).
cnf(refute_0_147,plain,
( rd(mult(B,X_28),ld(ld(B,B),X_28)) != mult(B,mult(ld(B,B),rd(X_105,X_105)))
| B = mult(B,mult(ld(B,B),rd(X_105,X_105))) ),
inference(resolve,[$cnf( $equal(rd(mult(B,X_28),ld(ld(B,B),X_28)),B) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
rd(X_58,X_58) = ld(X_104,X_104),
inference(subst,[],[refute_0_121:[bind(X_102,$fot(X_104)),bind(X_55,$fot(X_58))]]) ).
cnf(refute_0_149,plain,
( mult(rd(X_58,X_58),C) != C
| rd(X_58,X_58) != ld(X_104,X_104)
| mult(ld(X_104,X_104),C) = C ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_58,X_58),C),C) ),[0,0],$fot(ld(X_104,X_104))]]) ).
cnf(refute_0_150,plain,
( mult(rd(X_58,X_58),C) != C
| mult(ld(X_104,X_104),C) = C ),
inference(resolve,[$cnf( $equal(rd(X_58,X_58),ld(X_104,X_104)) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
mult(ld(X_104,X_104),C) = C,
inference(resolve,[$cnf( $equal(mult(rd(X_58,X_58),C),C) )],[refute_0_92,refute_0_150]) ).
cnf(refute_0_152,plain,
mult(ld(B,B),rd(X_105,X_105)) = rd(X_105,X_105),
inference(subst,[],[refute_0_151:[bind(C,$fot(rd(X_105,X_105))),bind(X_104,$fot(B))]]) ).
cnf(refute_0_153,plain,
mult(B,mult(ld(B,B),rd(X_105,X_105))) = mult(B,mult(ld(B,B),rd(X_105,X_105))),
introduced(tautology,[refl,[$fot(mult(B,mult(ld(B,B),rd(X_105,X_105))))]]) ).
cnf(refute_0_154,plain,
( mult(B,mult(ld(B,B),rd(X_105,X_105))) != mult(B,mult(ld(B,B),rd(X_105,X_105)))
| mult(ld(B,B),rd(X_105,X_105)) != rd(X_105,X_105)
| mult(B,mult(ld(B,B),rd(X_105,X_105))) = mult(B,rd(X_105,X_105)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(B,mult(ld(B,B),rd(X_105,X_105))),mult(B,mult(ld(B,B),rd(X_105,X_105)))) ),[1,1],$fot(rd(X_105,X_105))]]) ).
cnf(refute_0_155,plain,
( mult(ld(B,B),rd(X_105,X_105)) != rd(X_105,X_105)
| mult(B,mult(ld(B,B),rd(X_105,X_105))) = mult(B,rd(X_105,X_105)) ),
inference(resolve,[$cnf( $equal(mult(B,mult(ld(B,B),rd(X_105,X_105))),mult(B,mult(ld(B,B),rd(X_105,X_105)))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
mult(B,mult(ld(B,B),rd(X_105,X_105))) = mult(B,rd(X_105,X_105)),
inference(resolve,[$cnf( $equal(mult(ld(B,B),rd(X_105,X_105)),rd(X_105,X_105)) )],[refute_0_152,refute_0_155]) ).
cnf(refute_0_157,plain,
( B != mult(B,mult(ld(B,B),rd(X_105,X_105)))
| mult(B,mult(ld(B,B),rd(X_105,X_105))) != mult(B,rd(X_105,X_105))
| B = mult(B,rd(X_105,X_105)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(B,mult(B,rd(X_105,X_105))) ),[0],$fot(mult(B,mult(ld(B,B),rd(X_105,X_105))))]]) ).
cnf(refute_0_158,plain,
( B != mult(B,mult(ld(B,B),rd(X_105,X_105)))
| B = mult(B,rd(X_105,X_105)) ),
inference(resolve,[$cnf( $equal(mult(B,mult(ld(B,B),rd(X_105,X_105))),mult(B,rd(X_105,X_105))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
( rd(mult(B,X_28),ld(ld(B,B),X_28)) != mult(B,mult(ld(B,B),rd(X_105,X_105)))
| B = mult(B,rd(X_105,X_105)) ),
inference(resolve,[$cnf( $equal(B,mult(B,mult(ld(B,B),rd(X_105,X_105)))) )],[refute_0_147,refute_0_158]) ).
cnf(refute_0_160,plain,
B = mult(B,rd(X_105,X_105)),
inference(resolve,[$cnf( $equal(rd(mult(B,X_28),ld(ld(B,B),X_28)),mult(B,mult(ld(B,B),rd(X_105,X_105)))) )],[refute_0_127,refute_0_159]) ).
cnf(refute_0_161,plain,
x1_2(rd(X_109,X_109)) = mult(x1_2(rd(X_109,X_109)),rd(X_109,X_109)),
inference(subst,[],[refute_0_160:[bind(B,$fot(x1_2(rd(X_109,X_109)))),bind(X_105,$fot(X_109))]]) ).
cnf(refute_0_162,plain,
( x1_2(rd(X_109,X_109)) != mult(x1_2(rd(X_109,X_109)),rd(X_109,X_109))
| mult(x1_2(rd(X_109,X_109)),rd(X_109,X_109)) = x1_2(rd(X_109,X_109)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(x1_2(rd(X_109,X_109)))),bind(Y,$fot(mult(x1_2(rd(X_109,X_109)),rd(X_109,X_109))))]]) ).
cnf(refute_0_163,plain,
mult(x1_2(rd(X_109,X_109)),rd(X_109,X_109)) = x1_2(rd(X_109,X_109)),
inference(resolve,[$cnf( $equal(x1_2(rd(X_109,X_109)),mult(x1_2(rd(X_109,X_109)),rd(X_109,X_109))) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
( mult(x1_2(rd(X_109,X_109)),rd(X_109,X_109)) != x1_2(rd(X_109,X_109))
| tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),x1_2(rd(X_109,X_109))) != tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109)))
| tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),mult(x1_2(rd(X_109,X_109)),rd(X_109,X_109))) = tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),mult(x1_2(rd(X_109,X_109)),rd(X_109,X_109))),tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109)))) ),[0,1],$fot(x1_2(rd(X_109,X_109)))]]) ).
cnf(refute_0_165,plain,
( tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),x1_2(rd(X_109,X_109))) != tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109)))
| tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),mult(x1_2(rd(X_109,X_109)),rd(X_109,X_109))) = tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109))) ),
inference(resolve,[$cnf( $equal(mult(x1_2(rd(X_109,X_109)),rd(X_109,X_109)),x1_2(rd(X_109,X_109))) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),x1_2(rd(X_109,X_109))) != tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109))),
inference(resolve,[$cnf( $equal(tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),mult(x1_2(rd(X_109,X_109)),rd(X_109,X_109))),tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109)))) )],[refute_0_165,refute_0_0]) ).
cnf(refute_0_167,plain,
ld(rd(X_109,X_109),x1(rd(X_109,X_109))) = x1(rd(X_109,X_109)),
inference(subst,[],[refute_0_133:[bind(B,$fot(x1(rd(X_109,X_109)))),bind(X_61,$fot(X_109))]]) ).
cnf(refute_0_168,plain,
rd(mult(X_25,ld(X_26,X_55)),X_55) = mult(rd(X_25,mult(X_26,X_26)),X_26),
inference(subst,[],[refute_0_49:[bind(B,$fot(X_55)),bind(X_41,$fot(X_25)),bind(X_42,$fot(X_26))]]) ).
cnf(refute_0_169,plain,
( rd(mult(X_25,ld(X_26,X_55)),X_55) != mult(rd(X_25,mult(X_26,X_26)),X_26)
| mult(rd(X_25,mult(X_26,X_26)),X_26) = rd(mult(X_25,ld(X_26,X_55)),X_55) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(rd(mult(X_25,ld(X_26,X_55)),X_55))),bind(Y,$fot(mult(rd(X_25,mult(X_26,X_26)),X_26)))]]) ).
cnf(refute_0_170,plain,
mult(rd(X_25,mult(X_26,X_26)),X_26) = rd(mult(X_25,ld(X_26,X_55)),X_55),
inference(resolve,[$cnf( $equal(rd(mult(X_25,ld(X_26,X_55)),X_55),mult(rd(X_25,mult(X_26,X_26)),X_26)) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
( mult(X_25,ld(X_26,B)) != mult(mult(rd(X_25,mult(X_26,X_26)),X_26),B)
| mult(rd(X_25,mult(X_26,X_26)),X_26) != rd(mult(X_25,ld(X_26,X_55)),X_55)
| mult(X_25,ld(X_26,B)) = mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_25,ld(X_26,B)),mult(mult(rd(X_25,mult(X_26,X_26)),X_26),B)) ),[1,0],$fot(rd(mult(X_25,ld(X_26,X_55)),X_55))]]) ).
cnf(refute_0_172,plain,
( mult(X_25,ld(X_26,B)) != mult(mult(rd(X_25,mult(X_26,X_26)),X_26),B)
| mult(X_25,ld(X_26,B)) = mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B) ),
inference(resolve,[$cnf( $equal(mult(rd(X_25,mult(X_26,X_26)),X_26),rd(mult(X_25,ld(X_26,X_55)),X_55)) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
mult(X_25,ld(X_26,B)) = mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B),
inference(resolve,[$cnf( $equal(mult(X_25,ld(X_26,B)),mult(mult(rd(X_25,mult(X_26,X_26)),X_26),B)) )],[refute_0_43,refute_0_172]) ).
cnf(refute_0_174,plain,
ld(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,X_27))) = mult(X_26,X_27),
inference(subst,[],[f02:[bind(A,$fot(mult(rd(X_25,mult(X_26,X_26)),X_26))),bind(B,$fot(mult(X_26,X_27)))]]) ).
cnf(refute_0_175,plain,
( ld(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,X_27))) != mult(X_26,X_27)
| mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,X_27)) != mult(X_25,X_27)
| ld(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_25,X_27)) = mult(X_26,X_27) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,X_27))),mult(X_26,X_27)) ),[0,1],$fot(mult(X_25,X_27))]]) ).
cnf(refute_0_176,plain,
( ld(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,X_27))) != mult(X_26,X_27)
| ld(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_25,X_27)) = mult(X_26,X_27) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,X_27)),mult(X_25,X_27)) )],[refute_0_28,refute_0_175]) ).
cnf(refute_0_177,plain,
ld(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_25,X_27)) = mult(X_26,X_27),
inference(resolve,[$cnf( $equal(ld(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(mult(rd(X_25,mult(X_26,X_26)),X_26),mult(X_26,X_27))),mult(X_26,X_27)) )],[refute_0_174,refute_0_176]) ).
cnf(refute_0_178,plain,
ld(mult(rd(X_37,mult(X_38,X_38)),X_38),mult(X_37,ld(X_37,B))) = mult(X_38,ld(X_37,B)),
inference(subst,[],[refute_0_177:[bind(X_25,$fot(X_37)),bind(X_26,$fot(X_38)),bind(X_27,$fot(ld(X_37,B)))]]) ).
cnf(refute_0_179,plain,
mult(X_37,ld(X_37,B)) = B,
inference(subst,[],[f01:[bind(A,$fot(X_37))]]) ).
cnf(refute_0_180,plain,
( ld(mult(rd(X_37,mult(X_38,X_38)),X_38),mult(X_37,ld(X_37,B))) != mult(X_38,ld(X_37,B))
| mult(X_37,ld(X_37,B)) != B
| ld(mult(rd(X_37,mult(X_38,X_38)),X_38),B) = mult(X_38,ld(X_37,B)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(rd(X_37,mult(X_38,X_38)),X_38),mult(X_37,ld(X_37,B))),mult(X_38,ld(X_37,B))) ),[0,1],$fot(B)]]) ).
cnf(refute_0_181,plain,
( ld(mult(rd(X_37,mult(X_38,X_38)),X_38),mult(X_37,ld(X_37,B))) != mult(X_38,ld(X_37,B))
| ld(mult(rd(X_37,mult(X_38,X_38)),X_38),B) = mult(X_38,ld(X_37,B)) ),
inference(resolve,[$cnf( $equal(mult(X_37,ld(X_37,B)),B) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
ld(mult(rd(X_37,mult(X_38,X_38)),X_38),B) = mult(X_38,ld(X_37,B)),
inference(resolve,[$cnf( $equal(ld(mult(rd(X_37,mult(X_38,X_38)),X_38),mult(X_37,ld(X_37,B))),mult(X_38,ld(X_37,B))) )],[refute_0_178,refute_0_181]) ).
cnf(refute_0_183,plain,
mult(rd(X_37,mult(X_38,X_38)),X_38) = mult(rd(X_37,X_38),ld(X_38,X_38)),
inference(subst,[],[refute_0_114:[bind(B,$fot(X_38)),bind(X_101,$fot(X_37)),bind(X_103,$fot(X_38)),bind(X_26,$fot(X_38))]]) ).
cnf(refute_0_184,plain,
ld(mult(rd(X_37,mult(X_38,X_38)),X_38),B) = ld(mult(rd(X_37,mult(X_38,X_38)),X_38),B),
introduced(tautology,[refl,[$fot(ld(mult(rd(X_37,mult(X_38,X_38)),X_38),B))]]) ).
cnf(refute_0_185,plain,
( ld(mult(rd(X_37,mult(X_38,X_38)),X_38),B) != ld(mult(rd(X_37,mult(X_38,X_38)),X_38),B)
| mult(rd(X_37,mult(X_38,X_38)),X_38) != mult(rd(X_37,X_38),ld(X_38,X_38))
| ld(mult(rd(X_37,mult(X_38,X_38)),X_38),B) = ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(rd(X_37,mult(X_38,X_38)),X_38),B),ld(mult(rd(X_37,mult(X_38,X_38)),X_38),B)) ),[1,0],$fot(mult(rd(X_37,X_38),ld(X_38,X_38)))]]) ).
cnf(refute_0_186,plain,
( mult(rd(X_37,mult(X_38,X_38)),X_38) != mult(rd(X_37,X_38),ld(X_38,X_38))
| ld(mult(rd(X_37,mult(X_38,X_38)),X_38),B) = ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B) ),
inference(resolve,[$cnf( $equal(ld(mult(rd(X_37,mult(X_38,X_38)),X_38),B),ld(mult(rd(X_37,mult(X_38,X_38)),X_38),B)) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
ld(mult(rd(X_37,mult(X_38,X_38)),X_38),B) = ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B),
inference(resolve,[$cnf( $equal(mult(rd(X_37,mult(X_38,X_38)),X_38),mult(rd(X_37,X_38),ld(X_38,X_38))) )],[refute_0_183,refute_0_186]) ).
cnf(refute_0_188,plain,
( ld(mult(rd(X_37,mult(X_38,X_38)),X_38),B) != ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B)
| ld(mult(rd(X_37,mult(X_38,X_38)),X_38),B) != mult(X_38,ld(X_37,B))
| ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B) = mult(X_38,ld(X_37,B)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(rd(X_37,mult(X_38,X_38)),X_38),B),mult(X_38,ld(X_37,B))) ),[0],$fot(ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B))]]) ).
cnf(refute_0_189,plain,
( ld(mult(rd(X_37,mult(X_38,X_38)),X_38),B) != mult(X_38,ld(X_37,B))
| ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B) = mult(X_38,ld(X_37,B)) ),
inference(resolve,[$cnf( $equal(ld(mult(rd(X_37,mult(X_38,X_38)),X_38),B),ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B)) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B) = mult(X_38,ld(X_37,B)),
inference(resolve,[$cnf( $equal(ld(mult(rd(X_37,mult(X_38,X_38)),X_38),B),mult(X_38,ld(X_37,B))) )],[refute_0_182,refute_0_189]) ).
cnf(refute_0_191,plain,
mult(mult(rd(X_61,X_61),mult(B,B)),C) = mult(mult(rd(X_61,X_61),B),mult(B,C)),
inference(subst,[],[f05:[bind(A,$fot(rd(X_61,X_61)))]]) ).
cnf(refute_0_192,plain,
mult(rd(X_61,X_61),mult(B,B)) = mult(B,B),
inference(subst,[],[refute_0_92:[bind(C,$fot(mult(B,B))),bind(X_58,$fot(X_61))]]) ).
cnf(refute_0_193,plain,
( mult(mult(rd(X_61,X_61),mult(B,B)),C) != mult(mult(rd(X_61,X_61),B),mult(B,C))
| mult(rd(X_61,X_61),mult(B,B)) != mult(B,B)
| mult(mult(B,B),C) = mult(mult(rd(X_61,X_61),B),mult(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(X_61,X_61),mult(B,B)),C),mult(mult(rd(X_61,X_61),B),mult(B,C))) ),[0,0],$fot(mult(B,B))]]) ).
cnf(refute_0_194,plain,
( mult(mult(rd(X_61,X_61),mult(B,B)),C) != mult(mult(rd(X_61,X_61),B),mult(B,C))
| mult(mult(B,B),C) = mult(mult(rd(X_61,X_61),B),mult(B,C)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_61,X_61),mult(B,B)),mult(B,B)) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
mult(mult(B,B),C) = mult(mult(rd(X_61,X_61),B),mult(B,C)),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_61,X_61),mult(B,B)),C),mult(mult(rd(X_61,X_61),B),mult(B,C))) )],[refute_0_191,refute_0_194]) ).
cnf(refute_0_196,plain,
mult(rd(X_61,X_61),B) = B,
inference(subst,[],[refute_0_92:[bind(C,$fot(B)),bind(X_58,$fot(X_61))]]) ).
cnf(refute_0_197,plain,
mult(mult(rd(X_61,X_61),B),mult(B,C)) = mult(mult(rd(X_61,X_61),B),mult(B,C)),
introduced(tautology,[refl,[$fot(mult(mult(rd(X_61,X_61),B),mult(B,C)))]]) ).
cnf(refute_0_198,plain,
( mult(mult(rd(X_61,X_61),B),mult(B,C)) != mult(mult(rd(X_61,X_61),B),mult(B,C))
| mult(rd(X_61,X_61),B) != B
| mult(mult(rd(X_61,X_61),B),mult(B,C)) = mult(B,mult(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(X_61,X_61),B),mult(B,C)),mult(mult(rd(X_61,X_61),B),mult(B,C))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_199,plain,
( mult(rd(X_61,X_61),B) != B
| mult(mult(rd(X_61,X_61),B),mult(B,C)) = mult(B,mult(B,C)) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_61,X_61),B),mult(B,C)),mult(mult(rd(X_61,X_61),B),mult(B,C))) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
mult(mult(rd(X_61,X_61),B),mult(B,C)) = mult(B,mult(B,C)),
inference(resolve,[$cnf( $equal(mult(rd(X_61,X_61),B),B) )],[refute_0_196,refute_0_199]) ).
cnf(refute_0_201,plain,
( mult(mult(B,B),C) != mult(mult(rd(X_61,X_61),B),mult(B,C))
| mult(mult(rd(X_61,X_61),B),mult(B,C)) != mult(B,mult(B,C))
| mult(mult(B,B),C) = mult(B,mult(B,C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(B,B),C),mult(B,mult(B,C))) ),[0],$fot(mult(mult(rd(X_61,X_61),B),mult(B,C)))]]) ).
cnf(refute_0_202,plain,
( mult(mult(B,B),C) != mult(mult(rd(X_61,X_61),B),mult(B,C))
| mult(mult(B,B),C) = mult(B,mult(B,C)) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_61,X_61),B),mult(B,C)),mult(B,mult(B,C))) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
mult(mult(B,B),C) = mult(B,mult(B,C)),
inference(resolve,[$cnf( $equal(mult(mult(B,B),C),mult(mult(rd(X_61,X_61),B),mult(B,C))) )],[refute_0_195,refute_0_202]) ).
cnf(refute_0_204,plain,
mult(mult(B,B),mult(B,B)) = mult(B,mult(B,mult(B,B))),
inference(subst,[],[refute_0_203:[bind(C,$fot(mult(B,B)))]]) ).
cnf(refute_0_205,plain,
rd(X_41,mult(mult(B,B),mult(B,B))) = rd(X_41,mult(mult(B,B),mult(B,B))),
introduced(tautology,[refl,[$fot(rd(X_41,mult(mult(B,B),mult(B,B))))]]) ).
cnf(refute_0_206,plain,
( mult(mult(B,B),mult(B,B)) != mult(B,mult(B,mult(B,B)))
| rd(X_41,mult(mult(B,B),mult(B,B))) != rd(X_41,mult(mult(B,B),mult(B,B)))
| rd(X_41,mult(mult(B,B),mult(B,B))) = rd(X_41,mult(B,mult(B,mult(B,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_41,mult(mult(B,B),mult(B,B))),rd(X_41,mult(mult(B,B),mult(B,B)))) ),[1,1],$fot(mult(B,mult(B,mult(B,B))))]]) ).
cnf(refute_0_207,plain,
( mult(mult(B,B),mult(B,B)) != mult(B,mult(B,mult(B,B)))
| rd(X_41,mult(mult(B,B),mult(B,B))) = rd(X_41,mult(B,mult(B,mult(B,B)))) ),
inference(resolve,[$cnf( $equal(rd(X_41,mult(mult(B,B),mult(B,B))),rd(X_41,mult(mult(B,B),mult(B,B)))) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
rd(X_41,mult(mult(B,B),mult(B,B))) = rd(X_41,mult(B,mult(B,mult(B,B)))),
inference(resolve,[$cnf( $equal(mult(mult(B,B),mult(B,B)),mult(B,mult(B,mult(B,B)))) )],[refute_0_204,refute_0_207]) ).
cnf(refute_0_209,plain,
mult(rd(X_41,mult(mult(B,B),mult(B,B))),B) = mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),
introduced(tautology,[refl,[$fot(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B))]]) ).
cnf(refute_0_210,plain,
( mult(rd(X_41,mult(mult(B,B),mult(B,B))),B) != mult(rd(X_41,mult(mult(B,B),mult(B,B))),B)
| rd(X_41,mult(mult(B,B),mult(B,B))) != rd(X_41,mult(B,mult(B,mult(B,B))))
| mult(rd(X_41,mult(mult(B,B),mult(B,B))),B) = mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(rd(X_41,mult(mult(B,B),mult(B,B))),B)) ),[1,0],$fot(rd(X_41,mult(B,mult(B,mult(B,B)))))]]) ).
cnf(refute_0_211,plain,
( rd(X_41,mult(mult(B,B),mult(B,B))) != rd(X_41,mult(B,mult(B,mult(B,B))))
| mult(rd(X_41,mult(mult(B,B),mult(B,B))),B) = mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B) ),
inference(resolve,[$cnf( $equal(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(rd(X_41,mult(mult(B,B),mult(B,B))),B)) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
mult(rd(X_41,mult(mult(B,B),mult(B,B))),B) = mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),
inference(resolve,[$cnf( $equal(rd(X_41,mult(mult(B,B),mult(B,B))),rd(X_41,mult(B,mult(B,mult(B,B))))) )],[refute_0_208,refute_0_211]) ).
cnf(refute_0_213,plain,
mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C)) = mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C)),
introduced(tautology,[refl,[$fot(mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C)))]]) ).
cnf(refute_0_214,plain,
( mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C)) != mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C))
| mult(rd(X_41,mult(mult(B,B),mult(B,B))),B) != mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B)
| mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C)) = mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C)),mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C))) ),[1,0],$fot(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B))]]) ).
cnf(refute_0_215,plain,
( mult(rd(X_41,mult(mult(B,B),mult(B,B))),B) != mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B)
| mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C)) = mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C)) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C)),mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C))) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C)) = mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C)),
inference(resolve,[$cnf( $equal(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B)) )],[refute_0_212,refute_0_215]) ).
cnf(refute_0_217,plain,
( mult(X_41,ld(mult(B,B),C)) != mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C))
| mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C)) != mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C))
| mult(X_41,ld(mult(B,B),C)) = mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_41,ld(mult(B,B),C)),mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C))) ),[0],$fot(mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C)))]]) ).
cnf(refute_0_218,plain,
( mult(X_41,ld(mult(B,B),C)) != mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C))
| mult(X_41,ld(mult(B,B),C)) = mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C)) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C)),mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
mult(X_41,ld(mult(B,B),C)) = mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C)),
inference(resolve,[$cnf( $equal(mult(X_41,ld(mult(B,B),C)),mult(mult(rd(X_41,mult(mult(B,B),mult(B,B))),B),mult(B,C))) )],[refute_0_81,refute_0_218]) ).
cnf(refute_0_220,plain,
ld(rd(X_4,B),mult(rd(X_4,B),B)) = B,
inference(subst,[],[f02:[bind(A,$fot(rd(X_4,B)))]]) ).
cnf(refute_0_221,plain,
mult(rd(X_4,B),B) = X_4,
inference(subst,[],[f03:[bind(A,$fot(X_4))]]) ).
cnf(refute_0_222,plain,
( ld(rd(X_4,B),mult(rd(X_4,B),B)) != B
| mult(rd(X_4,B),B) != X_4
| ld(rd(X_4,B),X_4) = B ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(X_4,B),mult(rd(X_4,B),B)),B) ),[0,1],$fot(X_4)]]) ).
cnf(refute_0_223,plain,
( ld(rd(X_4,B),mult(rd(X_4,B),B)) != B
| ld(rd(X_4,B),X_4) = B ),
inference(resolve,[$cnf( $equal(mult(rd(X_4,B),B),X_4) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
ld(rd(X_4,B),X_4) = B,
inference(resolve,[$cnf( $equal(ld(rd(X_4,B),mult(rd(X_4,B),B)),B) )],[refute_0_220,refute_0_223]) ).
cnf(refute_0_225,plain,
ld(rd(mult(X_67,X_66),ld(X_67,X_66)),mult(X_67,X_66)) = ld(X_67,X_66),
inference(subst,[],[refute_0_224:[bind(B,$fot(ld(X_67,X_66))),bind(X_4,$fot(mult(X_67,X_66)))]]) ).
cnf(refute_0_226,plain,
rd(mult(mult(rd(A,X_30),X_30),X_28),ld(X_30,X_28)) = mult(rd(A,X_30),mult(X_30,X_30)),
inference(subst,[],[refute_0_10:[bind(B,$fot(X_28)),bind(X_20,$fot(rd(A,X_30))),bind(X_21,$fot(X_30))]]) ).
cnf(refute_0_227,plain,
mult(rd(A,X_30),X_30) = A,
inference(subst,[],[f03:[bind(B,$fot(X_30))]]) ).
cnf(refute_0_228,plain,
( mult(rd(A,X_30),X_30) != A
| rd(mult(mult(rd(A,X_30),X_30),X_28),ld(X_30,X_28)) != mult(rd(A,X_30),mult(X_30,X_30))
| rd(mult(A,X_28),ld(X_30,X_28)) = mult(rd(A,X_30),mult(X_30,X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(rd(A,X_30),X_30),X_28),ld(X_30,X_28)),mult(rd(A,X_30),mult(X_30,X_30))) ),[0,0,0],$fot(A)]]) ).
cnf(refute_0_229,plain,
( rd(mult(mult(rd(A,X_30),X_30),X_28),ld(X_30,X_28)) != mult(rd(A,X_30),mult(X_30,X_30))
| rd(mult(A,X_28),ld(X_30,X_28)) = mult(rd(A,X_30),mult(X_30,X_30)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_30),X_30),A) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
rd(mult(A,X_28),ld(X_30,X_28)) = mult(rd(A,X_30),mult(X_30,X_30)),
inference(resolve,[$cnf( $equal(rd(mult(mult(rd(A,X_30),X_30),X_28),ld(X_30,X_28)),mult(rd(A,X_30),mult(X_30,X_30))) )],[refute_0_226,refute_0_229]) ).
cnf(refute_0_231,plain,
rd(mult(X_30,X_28),ld(X_30,X_28)) = mult(rd(X_30,X_30),mult(X_30,X_30)),
inference(subst,[],[refute_0_230:[bind(A,$fot(X_30))]]) ).
cnf(refute_0_232,plain,
rd(X_30,X_30) = mult(rd(X_59,mult(X_59,X_59)),X_59),
inference(subst,[],[refute_0_54:[bind(X_55,$fot(X_30)),bind(X_57,$fot(X_59))]]) ).
cnf(refute_0_233,plain,
( rd(X_30,X_30) != mult(rd(X_59,mult(X_59,X_59)),X_59)
| rd(mult(X_30,X_28),ld(X_30,X_28)) != mult(rd(X_30,X_30),mult(X_30,X_30))
| rd(mult(X_30,X_28),ld(X_30,X_28)) = mult(mult(rd(X_59,mult(X_59,X_59)),X_59),mult(X_30,X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_30,X_28),ld(X_30,X_28)),mult(rd(X_30,X_30),mult(X_30,X_30))) ),[1,0],$fot(mult(rd(X_59,mult(X_59,X_59)),X_59))]]) ).
cnf(refute_0_234,plain,
( rd(mult(X_30,X_28),ld(X_30,X_28)) != mult(rd(X_30,X_30),mult(X_30,X_30))
| rd(mult(X_30,X_28),ld(X_30,X_28)) = mult(mult(rd(X_59,mult(X_59,X_59)),X_59),mult(X_30,X_30)) ),
inference(resolve,[$cnf( $equal(rd(X_30,X_30),mult(rd(X_59,mult(X_59,X_59)),X_59)) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
rd(mult(X_30,X_28),ld(X_30,X_28)) = mult(mult(rd(X_59,mult(X_59,X_59)),X_59),mult(X_30,X_30)),
inference(resolve,[$cnf( $equal(rd(mult(X_30,X_28),ld(X_30,X_28)),mult(rd(X_30,X_30),mult(X_30,X_30))) )],[refute_0_231,refute_0_234]) ).
cnf(refute_0_236,plain,
mult(X_59,ld(X_59,mult(X_30,X_30))) = mult(X_30,X_30),
inference(subst,[],[f01:[bind(A,$fot(X_59)),bind(B,$fot(mult(X_30,X_30)))]]) ).
cnf(refute_0_237,plain,
( mult(X_25,ld(X_26,B)) != mult(mult(rd(X_25,mult(X_26,X_26)),X_26),B)
| mult(mult(rd(X_25,mult(X_26,X_26)),X_26),B) = mult(X_25,ld(X_26,B)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(mult(X_25,ld(X_26,B)))),bind(Y,$fot(mult(mult(rd(X_25,mult(X_26,X_26)),X_26),B)))]]) ).
cnf(refute_0_238,plain,
mult(mult(rd(X_25,mult(X_26,X_26)),X_26),B) = mult(X_25,ld(X_26,B)),
inference(resolve,[$cnf( $equal(mult(X_25,ld(X_26,B)),mult(mult(rd(X_25,mult(X_26,X_26)),X_26),B)) )],[refute_0_43,refute_0_237]) ).
cnf(refute_0_239,plain,
mult(mult(rd(X_59,mult(X_59,X_59)),X_59),mult(X_30,X_30)) = mult(X_59,ld(X_59,mult(X_30,X_30))),
inference(subst,[],[refute_0_238:[bind(B,$fot(mult(X_30,X_30))),bind(X_25,$fot(X_59)),bind(X_26,$fot(X_59))]]) ).
cnf(refute_0_240,plain,
( mult(X_59,ld(X_59,mult(X_30,X_30))) != mult(X_30,X_30)
| mult(mult(rd(X_59,mult(X_59,X_59)),X_59),mult(X_30,X_30)) != mult(X_59,ld(X_59,mult(X_30,X_30)))
| mult(mult(rd(X_59,mult(X_59,X_59)),X_59),mult(X_30,X_30)) = mult(X_30,X_30) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(mult(mult(rd(X_59,mult(X_59,X_59)),X_59),mult(X_30,X_30)))),bind(Y,$fot(mult(X_59,ld(X_59,mult(X_30,X_30))))),bind(Z,$fot(mult(X_30,X_30)))]]) ).
cnf(refute_0_241,plain,
( mult(X_59,ld(X_59,mult(X_30,X_30))) != mult(X_30,X_30)
| mult(mult(rd(X_59,mult(X_59,X_59)),X_59),mult(X_30,X_30)) = mult(X_30,X_30) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_59,mult(X_59,X_59)),X_59),mult(X_30,X_30)),mult(X_59,ld(X_59,mult(X_30,X_30)))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
mult(mult(rd(X_59,mult(X_59,X_59)),X_59),mult(X_30,X_30)) = mult(X_30,X_30),
inference(resolve,[$cnf( $equal(mult(X_59,ld(X_59,mult(X_30,X_30))),mult(X_30,X_30)) )],[refute_0_236,refute_0_241]) ).
cnf(refute_0_243,plain,
( mult(mult(rd(X_59,mult(X_59,X_59)),X_59),mult(X_30,X_30)) != mult(X_30,X_30)
| rd(mult(X_30,X_28),ld(X_30,X_28)) != mult(mult(rd(X_59,mult(X_59,X_59)),X_59),mult(X_30,X_30))
| rd(mult(X_30,X_28),ld(X_30,X_28)) = mult(X_30,X_30) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_30,X_28),ld(X_30,X_28)),mult(mult(rd(X_59,mult(X_59,X_59)),X_59),mult(X_30,X_30))) ),[1],$fot(mult(X_30,X_30))]]) ).
cnf(refute_0_244,plain,
( rd(mult(X_30,X_28),ld(X_30,X_28)) != mult(mult(rd(X_59,mult(X_59,X_59)),X_59),mult(X_30,X_30))
| rd(mult(X_30,X_28),ld(X_30,X_28)) = mult(X_30,X_30) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_59,mult(X_59,X_59)),X_59),mult(X_30,X_30)),mult(X_30,X_30)) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
rd(mult(X_30,X_28),ld(X_30,X_28)) = mult(X_30,X_30),
inference(resolve,[$cnf( $equal(rd(mult(X_30,X_28),ld(X_30,X_28)),mult(mult(rd(X_59,mult(X_59,X_59)),X_59),mult(X_30,X_30))) )],[refute_0_235,refute_0_244]) ).
cnf(refute_0_246,plain,
rd(mult(X_67,X_66),ld(X_67,X_66)) = mult(X_67,X_67),
inference(subst,[],[refute_0_245:[bind(X_28,$fot(X_66)),bind(X_30,$fot(X_67))]]) ).
cnf(refute_0_247,plain,
( ld(rd(mult(X_67,X_66),ld(X_67,X_66)),mult(X_67,X_66)) != ld(X_67,X_66)
| rd(mult(X_67,X_66),ld(X_67,X_66)) != mult(X_67,X_67)
| ld(mult(X_67,X_67),mult(X_67,X_66)) = ld(X_67,X_66) ),
introduced(tautology,[equality,[$cnf( $equal(ld(rd(mult(X_67,X_66),ld(X_67,X_66)),mult(X_67,X_66)),ld(X_67,X_66)) ),[0,0],$fot(mult(X_67,X_67))]]) ).
cnf(refute_0_248,plain,
( ld(rd(mult(X_67,X_66),ld(X_67,X_66)),mult(X_67,X_66)) != ld(X_67,X_66)
| ld(mult(X_67,X_67),mult(X_67,X_66)) = ld(X_67,X_66) ),
inference(resolve,[$cnf( $equal(rd(mult(X_67,X_66),ld(X_67,X_66)),mult(X_67,X_67)) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
ld(mult(X_67,X_67),mult(X_67,X_66)) = ld(X_67,X_66),
inference(resolve,[$cnf( $equal(ld(rd(mult(X_67,X_66),ld(X_67,X_66)),mult(X_67,X_66)),ld(X_67,X_66)) )],[refute_0_225,refute_0_248]) ).
cnf(refute_0_250,plain,
ld(mult(mult(B,B),mult(B,B)),mult(mult(B,B),X_90)) = ld(mult(B,B),X_90),
inference(subst,[],[refute_0_249:[bind(X_66,$fot(X_90)),bind(X_67,$fot(mult(B,B)))]]) ).
cnf(refute_0_251,plain,
mult(mult(B,B),X_90) = mult(B,mult(B,X_90)),
inference(subst,[],[refute_0_203:[bind(C,$fot(X_90))]]) ).
cnf(refute_0_252,plain,
( ld(mult(mult(B,B),mult(B,B)),mult(mult(B,B),X_90)) != ld(mult(B,B),X_90)
| mult(mult(B,B),X_90) != mult(B,mult(B,X_90))
| ld(mult(mult(B,B),mult(B,B)),mult(B,mult(B,X_90))) = ld(mult(B,B),X_90) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(mult(B,B),mult(B,B)),mult(mult(B,B),X_90)),ld(mult(B,B),X_90)) ),[0,1],$fot(mult(B,mult(B,X_90)))]]) ).
cnf(refute_0_253,plain,
( ld(mult(mult(B,B),mult(B,B)),mult(mult(B,B),X_90)) != ld(mult(B,B),X_90)
| ld(mult(mult(B,B),mult(B,B)),mult(B,mult(B,X_90))) = ld(mult(B,B),X_90) ),
inference(resolve,[$cnf( $equal(mult(mult(B,B),X_90),mult(B,mult(B,X_90))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
ld(mult(mult(B,B),mult(B,B)),mult(B,mult(B,X_90))) = ld(mult(B,B),X_90),
inference(resolve,[$cnf( $equal(ld(mult(mult(B,B),mult(B,B)),mult(mult(B,B),X_90)),ld(mult(B,B),X_90)) )],[refute_0_250,refute_0_253]) ).
cnf(refute_0_255,plain,
ld(B,mult(B,X_90)) = X_90,
inference(subst,[],[f02:[bind(A,$fot(B)),bind(B,$fot(X_90))]]) ).
cnf(refute_0_256,plain,
ld(mult(B,B),mult(B,mult(B,X_90))) = ld(B,mult(B,X_90)),
inference(subst,[],[refute_0_249:[bind(X_66,$fot(mult(B,X_90))),bind(X_67,$fot(B))]]) ).
cnf(refute_0_257,plain,
( ld(B,mult(B,X_90)) != X_90
| ld(mult(B,B),mult(B,mult(B,X_90))) != ld(B,mult(B,X_90))
| ld(mult(B,B),mult(B,mult(B,X_90))) = X_90 ),
inference(subst,[],[refute_0_86:[bind(X,$fot(ld(mult(B,B),mult(B,mult(B,X_90))))),bind(Y,$fot(ld(B,mult(B,X_90)))),bind(Z,$fot(X_90))]]) ).
cnf(refute_0_258,plain,
( ld(B,mult(B,X_90)) != X_90
| ld(mult(B,B),mult(B,mult(B,X_90))) = X_90 ),
inference(resolve,[$cnf( $equal(ld(mult(B,B),mult(B,mult(B,X_90))),ld(B,mult(B,X_90))) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
ld(mult(B,B),mult(B,mult(B,X_90))) = X_90,
inference(resolve,[$cnf( $equal(ld(B,mult(B,X_90)),X_90) )],[refute_0_255,refute_0_258]) ).
cnf(refute_0_260,plain,
ld(B,ld(mult(B,B),mult(B,mult(B,X_90)))) = ld(B,ld(mult(B,B),mult(B,mult(B,X_90)))),
introduced(tautology,[refl,[$fot(ld(B,ld(mult(B,B),mult(B,mult(B,X_90)))))]]) ).
cnf(refute_0_261,plain,
( ld(B,ld(mult(B,B),mult(B,mult(B,X_90)))) != ld(B,ld(mult(B,B),mult(B,mult(B,X_90))))
| ld(mult(B,B),mult(B,mult(B,X_90))) != X_90
| ld(B,ld(mult(B,B),mult(B,mult(B,X_90)))) = ld(B,X_90) ),
introduced(tautology,[equality,[$cnf( $equal(ld(B,ld(mult(B,B),mult(B,mult(B,X_90)))),ld(B,ld(mult(B,B),mult(B,mult(B,X_90))))) ),[1,1],$fot(X_90)]]) ).
cnf(refute_0_262,plain,
( ld(mult(B,B),mult(B,mult(B,X_90))) != X_90
| ld(B,ld(mult(B,B),mult(B,mult(B,X_90)))) = ld(B,X_90) ),
inference(resolve,[$cnf( $equal(ld(B,ld(mult(B,B),mult(B,mult(B,X_90)))),ld(B,ld(mult(B,B),mult(B,mult(B,X_90))))) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
ld(B,ld(mult(B,B),mult(B,mult(B,X_90)))) = ld(B,X_90),
inference(resolve,[$cnf( $equal(ld(mult(B,B),mult(B,mult(B,X_90))),X_90) )],[refute_0_259,refute_0_262]) ).
cnf(refute_0_264,plain,
ld(A,mult(A,ld(mult(X_44,mult(A,A)),X_43))) = ld(mult(X_44,mult(A,A)),X_43),
inference(subst,[],[f02:[bind(B,$fot(ld(mult(X_44,mult(A,A)),X_43)))]]) ).
cnf(refute_0_265,plain,
ld(mult(X_17,X_18),mult(mult(X_17,X_18),mult(X_18,ld(mult(X_17,mult(X_18,X_18)),X_16)))) = mult(X_18,ld(mult(X_17,mult(X_18,X_18)),X_16)),
inference(subst,[],[f02:[bind(A,$fot(mult(X_17,X_18))),bind(B,$fot(mult(X_18,ld(mult(X_17,mult(X_18,X_18)),X_16))))]]) ).
cnf(refute_0_266,plain,
mult(mult(X_13,mult(X_14,X_14)),ld(mult(X_13,mult(X_14,X_14)),B)) = B,
inference(subst,[],[f01:[bind(A,$fot(mult(X_13,mult(X_14,X_14))))]]) ).
cnf(refute_0_267,plain,
mult(mult(X_13,mult(X_14,X_14)),ld(mult(X_13,mult(X_14,X_14)),B)) = mult(mult(X_13,X_14),mult(X_14,ld(mult(X_13,mult(X_14,X_14)),B))),
inference(subst,[],[f05:[bind(A,$fot(X_13)),bind(B,$fot(X_14)),bind(C,$fot(ld(mult(X_13,mult(X_14,X_14)),B)))]]) ).
cnf(refute_0_268,plain,
( mult(mult(X_13,mult(X_14,X_14)),ld(mult(X_13,mult(X_14,X_14)),B)) != B
| mult(mult(X_13,mult(X_14,X_14)),ld(mult(X_13,mult(X_14,X_14)),B)) != mult(mult(X_13,X_14),mult(X_14,ld(mult(X_13,mult(X_14,X_14)),B)))
| mult(mult(X_13,X_14),mult(X_14,ld(mult(X_13,mult(X_14,X_14)),B))) = B ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_13,mult(X_14,X_14)),ld(mult(X_13,mult(X_14,X_14)),B)),B) ),[0],$fot(mult(mult(X_13,X_14),mult(X_14,ld(mult(X_13,mult(X_14,X_14)),B))))]]) ).
cnf(refute_0_269,plain,
( mult(mult(X_13,mult(X_14,X_14)),ld(mult(X_13,mult(X_14,X_14)),B)) != B
| mult(mult(X_13,X_14),mult(X_14,ld(mult(X_13,mult(X_14,X_14)),B))) = B ),
inference(resolve,[$cnf( $equal(mult(mult(X_13,mult(X_14,X_14)),ld(mult(X_13,mult(X_14,X_14)),B)),mult(mult(X_13,X_14),mult(X_14,ld(mult(X_13,mult(X_14,X_14)),B)))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
mult(mult(X_13,X_14),mult(X_14,ld(mult(X_13,mult(X_14,X_14)),B))) = B,
inference(resolve,[$cnf( $equal(mult(mult(X_13,mult(X_14,X_14)),ld(mult(X_13,mult(X_14,X_14)),B)),B) )],[refute_0_266,refute_0_269]) ).
cnf(refute_0_271,plain,
mult(mult(X_17,X_18),mult(X_18,ld(mult(X_17,mult(X_18,X_18)),X_16))) = X_16,
inference(subst,[],[refute_0_270:[bind(B,$fot(X_16)),bind(X_13,$fot(X_17)),bind(X_14,$fot(X_18))]]) ).
cnf(refute_0_272,plain,
( ld(mult(X_17,X_18),mult(mult(X_17,X_18),mult(X_18,ld(mult(X_17,mult(X_18,X_18)),X_16)))) != mult(X_18,ld(mult(X_17,mult(X_18,X_18)),X_16))
| mult(mult(X_17,X_18),mult(X_18,ld(mult(X_17,mult(X_18,X_18)),X_16))) != X_16
| ld(mult(X_17,X_18),X_16) = mult(X_18,ld(mult(X_17,mult(X_18,X_18)),X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_17,X_18),mult(mult(X_17,X_18),mult(X_18,ld(mult(X_17,mult(X_18,X_18)),X_16)))),mult(X_18,ld(mult(X_17,mult(X_18,X_18)),X_16))) ),[0,1],$fot(X_16)]]) ).
cnf(refute_0_273,plain,
( ld(mult(X_17,X_18),mult(mult(X_17,X_18),mult(X_18,ld(mult(X_17,mult(X_18,X_18)),X_16)))) != mult(X_18,ld(mult(X_17,mult(X_18,X_18)),X_16))
| ld(mult(X_17,X_18),X_16) = mult(X_18,ld(mult(X_17,mult(X_18,X_18)),X_16)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_17,X_18),mult(X_18,ld(mult(X_17,mult(X_18,X_18)),X_16))),X_16) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
ld(mult(X_17,X_18),X_16) = mult(X_18,ld(mult(X_17,mult(X_18,X_18)),X_16)),
inference(resolve,[$cnf( $equal(ld(mult(X_17,X_18),mult(mult(X_17,X_18),mult(X_18,ld(mult(X_17,mult(X_18,X_18)),X_16)))),mult(X_18,ld(mult(X_17,mult(X_18,X_18)),X_16))) )],[refute_0_265,refute_0_273]) ).
cnf(refute_0_275,plain,
ld(mult(X_44,A),X_43) = mult(A,ld(mult(X_44,mult(A,A)),X_43)),
inference(subst,[],[refute_0_274:[bind(X_16,$fot(X_43)),bind(X_17,$fot(X_44)),bind(X_18,$fot(A))]]) ).
cnf(refute_0_276,plain,
( ld(mult(X_44,A),X_43) != mult(A,ld(mult(X_44,mult(A,A)),X_43))
| mult(A,ld(mult(X_44,mult(A,A)),X_43)) = ld(mult(X_44,A),X_43) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(ld(mult(X_44,A),X_43))),bind(Y,$fot(mult(A,ld(mult(X_44,mult(A,A)),X_43))))]]) ).
cnf(refute_0_277,plain,
mult(A,ld(mult(X_44,mult(A,A)),X_43)) = ld(mult(X_44,A),X_43),
inference(resolve,[$cnf( $equal(ld(mult(X_44,A),X_43),mult(A,ld(mult(X_44,mult(A,A)),X_43))) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
( ld(A,mult(A,ld(mult(X_44,mult(A,A)),X_43))) != ld(mult(X_44,mult(A,A)),X_43)
| mult(A,ld(mult(X_44,mult(A,A)),X_43)) != ld(mult(X_44,A),X_43)
| ld(A,ld(mult(X_44,A),X_43)) = ld(mult(X_44,mult(A,A)),X_43) ),
introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(A,ld(mult(X_44,mult(A,A)),X_43))),ld(mult(X_44,mult(A,A)),X_43)) ),[0,1],$fot(ld(mult(X_44,A),X_43))]]) ).
cnf(refute_0_279,plain,
( ld(A,mult(A,ld(mult(X_44,mult(A,A)),X_43))) != ld(mult(X_44,mult(A,A)),X_43)
| ld(A,ld(mult(X_44,A),X_43)) = ld(mult(X_44,mult(A,A)),X_43) ),
inference(resolve,[$cnf( $equal(mult(A,ld(mult(X_44,mult(A,A)),X_43)),ld(mult(X_44,A),X_43)) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
ld(A,ld(mult(X_44,A),X_43)) = ld(mult(X_44,mult(A,A)),X_43),
inference(resolve,[$cnf( $equal(ld(A,mult(A,ld(mult(X_44,mult(A,A)),X_43))),ld(mult(X_44,mult(A,A)),X_43)) )],[refute_0_264,refute_0_279]) ).
cnf(refute_0_281,plain,
( ld(A,ld(mult(X_44,A),X_43)) != ld(mult(X_44,mult(A,A)),X_43)
| ld(mult(X_44,mult(A,A)),X_43) = ld(A,ld(mult(X_44,A),X_43)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(ld(A,ld(mult(X_44,A),X_43)))),bind(Y,$fot(ld(mult(X_44,mult(A,A)),X_43)))]]) ).
cnf(refute_0_282,plain,
ld(mult(X_44,mult(A,A)),X_43) = ld(A,ld(mult(X_44,A),X_43)),
inference(resolve,[$cnf( $equal(ld(A,ld(mult(X_44,A),X_43)),ld(mult(X_44,mult(A,A)),X_43)) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
ld(mult(B,mult(B,B)),mult(B,mult(B,X_90))) = ld(B,ld(mult(B,B),mult(B,mult(B,X_90)))),
inference(subst,[],[refute_0_282:[bind(A,$fot(B)),bind(X_43,$fot(mult(B,mult(B,X_90)))),bind(X_44,$fot(B))]]) ).
cnf(refute_0_284,plain,
( ld(B,ld(mult(B,B),mult(B,mult(B,X_90)))) != ld(B,X_90)
| ld(mult(B,mult(B,B)),mult(B,mult(B,X_90))) != ld(B,ld(mult(B,B),mult(B,mult(B,X_90))))
| ld(mult(B,mult(B,B)),mult(B,mult(B,X_90))) = ld(B,X_90) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(ld(mult(B,mult(B,B)),mult(B,mult(B,X_90))))),bind(Y,$fot(ld(B,ld(mult(B,B),mult(B,mult(B,X_90)))))),bind(Z,$fot(ld(B,X_90)))]]) ).
cnf(refute_0_285,plain,
( ld(B,ld(mult(B,B),mult(B,mult(B,X_90)))) != ld(B,X_90)
| ld(mult(B,mult(B,B)),mult(B,mult(B,X_90))) = ld(B,X_90) ),
inference(resolve,[$cnf( $equal(ld(mult(B,mult(B,B)),mult(B,mult(B,X_90))),ld(B,ld(mult(B,B),mult(B,mult(B,X_90))))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
ld(mult(B,mult(B,B)),mult(B,mult(B,X_90))) = ld(B,X_90),
inference(resolve,[$cnf( $equal(ld(B,ld(mult(B,B),mult(B,mult(B,X_90)))),ld(B,X_90)) )],[refute_0_263,refute_0_285]) ).
cnf(refute_0_287,plain,
mult(mult(B,B),B) = mult(B,mult(B,B)),
inference(subst,[],[refute_0_203:[bind(C,$fot(B))]]) ).
cnf(refute_0_288,plain,
ld(mult(mult(B,B),B),mult(B,mult(B,X_90))) = ld(mult(mult(B,B),B),mult(B,mult(B,X_90))),
introduced(tautology,[refl,[$fot(ld(mult(mult(B,B),B),mult(B,mult(B,X_90))))]]) ).
cnf(refute_0_289,plain,
( ld(mult(mult(B,B),B),mult(B,mult(B,X_90))) != ld(mult(mult(B,B),B),mult(B,mult(B,X_90)))
| mult(mult(B,B),B) != mult(B,mult(B,B))
| ld(mult(mult(B,B),B),mult(B,mult(B,X_90))) = ld(mult(B,mult(B,B)),mult(B,mult(B,X_90))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(mult(B,B),B),mult(B,mult(B,X_90))),ld(mult(mult(B,B),B),mult(B,mult(B,X_90)))) ),[1,0],$fot(mult(B,mult(B,B)))]]) ).
cnf(refute_0_290,plain,
( mult(mult(B,B),B) != mult(B,mult(B,B))
| ld(mult(mult(B,B),B),mult(B,mult(B,X_90))) = ld(mult(B,mult(B,B)),mult(B,mult(B,X_90))) ),
inference(resolve,[$cnf( $equal(ld(mult(mult(B,B),B),mult(B,mult(B,X_90))),ld(mult(mult(B,B),B),mult(B,mult(B,X_90)))) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
ld(mult(mult(B,B),B),mult(B,mult(B,X_90))) = ld(mult(B,mult(B,B)),mult(B,mult(B,X_90))),
inference(resolve,[$cnf( $equal(mult(mult(B,B),B),mult(B,mult(B,B))) )],[refute_0_287,refute_0_290]) ).
cnf(refute_0_292,plain,
( ld(mult(B,mult(B,B)),mult(B,mult(B,X_90))) != ld(B,X_90)
| ld(mult(mult(B,B),B),mult(B,mult(B,X_90))) != ld(mult(B,mult(B,B)),mult(B,mult(B,X_90)))
| ld(mult(mult(B,B),B),mult(B,mult(B,X_90))) = ld(B,X_90) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(ld(mult(mult(B,B),B),mult(B,mult(B,X_90))))),bind(Y,$fot(ld(mult(B,mult(B,B)),mult(B,mult(B,X_90))))),bind(Z,$fot(ld(B,X_90)))]]) ).
cnf(refute_0_293,plain,
( ld(mult(B,mult(B,B)),mult(B,mult(B,X_90))) != ld(B,X_90)
| ld(mult(mult(B,B),B),mult(B,mult(B,X_90))) = ld(B,X_90) ),
inference(resolve,[$cnf( $equal(ld(mult(mult(B,B),B),mult(B,mult(B,X_90))),ld(mult(B,mult(B,B)),mult(B,mult(B,X_90)))) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
ld(mult(mult(B,B),B),mult(B,mult(B,X_90))) = ld(B,X_90),
inference(resolve,[$cnf( $equal(ld(mult(B,mult(B,B)),mult(B,mult(B,X_90))),ld(B,X_90)) )],[refute_0_286,refute_0_293]) ).
cnf(refute_0_295,plain,
ld(B,ld(mult(mult(B,B),B),mult(B,mult(B,X_90)))) = ld(B,ld(mult(mult(B,B),B),mult(B,mult(B,X_90)))),
introduced(tautology,[refl,[$fot(ld(B,ld(mult(mult(B,B),B),mult(B,mult(B,X_90)))))]]) ).
cnf(refute_0_296,plain,
( ld(B,ld(mult(mult(B,B),B),mult(B,mult(B,X_90)))) != ld(B,ld(mult(mult(B,B),B),mult(B,mult(B,X_90))))
| ld(mult(mult(B,B),B),mult(B,mult(B,X_90))) != ld(B,X_90)
| ld(B,ld(mult(mult(B,B),B),mult(B,mult(B,X_90)))) = ld(B,ld(B,X_90)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(B,ld(mult(mult(B,B),B),mult(B,mult(B,X_90)))),ld(B,ld(mult(mult(B,B),B),mult(B,mult(B,X_90))))) ),[1,1],$fot(ld(B,X_90))]]) ).
cnf(refute_0_297,plain,
( ld(mult(mult(B,B),B),mult(B,mult(B,X_90))) != ld(B,X_90)
| ld(B,ld(mult(mult(B,B),B),mult(B,mult(B,X_90)))) = ld(B,ld(B,X_90)) ),
inference(resolve,[$cnf( $equal(ld(B,ld(mult(mult(B,B),B),mult(B,mult(B,X_90)))),ld(B,ld(mult(mult(B,B),B),mult(B,mult(B,X_90))))) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
ld(B,ld(mult(mult(B,B),B),mult(B,mult(B,X_90)))) = ld(B,ld(B,X_90)),
inference(resolve,[$cnf( $equal(ld(mult(mult(B,B),B),mult(B,mult(B,X_90))),ld(B,X_90)) )],[refute_0_294,refute_0_297]) ).
cnf(refute_0_299,plain,
ld(mult(mult(B,B),mult(B,B)),mult(B,mult(B,X_90))) = ld(B,ld(mult(mult(B,B),B),mult(B,mult(B,X_90)))),
inference(subst,[],[refute_0_282:[bind(A,$fot(B)),bind(X_43,$fot(mult(B,mult(B,X_90)))),bind(X_44,$fot(mult(B,B)))]]) ).
cnf(refute_0_300,plain,
( ld(B,ld(mult(mult(B,B),B),mult(B,mult(B,X_90)))) != ld(B,ld(B,X_90))
| ld(mult(mult(B,B),mult(B,B)),mult(B,mult(B,X_90))) != ld(B,ld(mult(mult(B,B),B),mult(B,mult(B,X_90))))
| ld(mult(mult(B,B),mult(B,B)),mult(B,mult(B,X_90))) = ld(B,ld(B,X_90)) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(ld(mult(mult(B,B),mult(B,B)),mult(B,mult(B,X_90))))),bind(Y,$fot(ld(B,ld(mult(mult(B,B),B),mult(B,mult(B,X_90)))))),bind(Z,$fot(ld(B,ld(B,X_90))))]]) ).
cnf(refute_0_301,plain,
( ld(B,ld(mult(mult(B,B),B),mult(B,mult(B,X_90)))) != ld(B,ld(B,X_90))
| ld(mult(mult(B,B),mult(B,B)),mult(B,mult(B,X_90))) = ld(B,ld(B,X_90)) ),
inference(resolve,[$cnf( $equal(ld(mult(mult(B,B),mult(B,B)),mult(B,mult(B,X_90))),ld(B,ld(mult(mult(B,B),B),mult(B,mult(B,X_90))))) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
ld(mult(mult(B,B),mult(B,B)),mult(B,mult(B,X_90))) = ld(B,ld(B,X_90)),
inference(resolve,[$cnf( $equal(ld(B,ld(mult(mult(B,B),B),mult(B,mult(B,X_90)))),ld(B,ld(B,X_90))) )],[refute_0_298,refute_0_301]) ).
cnf(refute_0_303,plain,
( ld(mult(mult(B,B),mult(B,B)),mult(B,mult(B,X_90))) != ld(B,ld(B,X_90))
| ld(mult(mult(B,B),mult(B,B)),mult(B,mult(B,X_90))) != ld(mult(B,B),X_90)
| ld(B,ld(B,X_90)) = ld(mult(B,B),X_90) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(mult(B,B),mult(B,B)),mult(B,mult(B,X_90))),ld(mult(B,B),X_90)) ),[0],$fot(ld(B,ld(B,X_90)))]]) ).
cnf(refute_0_304,plain,
( ld(mult(mult(B,B),mult(B,B)),mult(B,mult(B,X_90))) != ld(mult(B,B),X_90)
| ld(B,ld(B,X_90)) = ld(mult(B,B),X_90) ),
inference(resolve,[$cnf( $equal(ld(mult(mult(B,B),mult(B,B)),mult(B,mult(B,X_90))),ld(B,ld(B,X_90))) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
ld(B,ld(B,X_90)) = ld(mult(B,B),X_90),
inference(resolve,[$cnf( $equal(ld(mult(mult(B,B),mult(B,B)),mult(B,mult(B,X_90))),ld(mult(B,B),X_90)) )],[refute_0_254,refute_0_304]) ).
cnf(refute_0_306,plain,
( ld(B,ld(B,X_90)) != ld(mult(B,B),X_90)
| ld(mult(B,B),X_90) = ld(B,ld(B,X_90)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(ld(B,ld(B,X_90)))),bind(Y,$fot(ld(mult(B,B),X_90)))]]) ).
cnf(refute_0_307,plain,
ld(mult(B,B),X_90) = ld(B,ld(B,X_90)),
inference(resolve,[$cnf( $equal(ld(B,ld(B,X_90)),ld(mult(B,B),X_90)) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
ld(mult(B,B),C) = ld(B,ld(B,C)),
inference(subst,[],[refute_0_307:[bind(X_90,$fot(C))]]) ).
cnf(refute_0_309,plain,
mult(X_41,ld(mult(B,B),C)) = mult(X_41,ld(mult(B,B),C)),
introduced(tautology,[refl,[$fot(mult(X_41,ld(mult(B,B),C)))]]) ).
cnf(refute_0_310,plain,
( ld(mult(B,B),C) != ld(B,ld(B,C))
| mult(X_41,ld(mult(B,B),C)) != mult(X_41,ld(mult(B,B),C))
| mult(X_41,ld(mult(B,B),C)) = mult(X_41,ld(B,ld(B,C))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_41,ld(mult(B,B),C)),mult(X_41,ld(mult(B,B),C))) ),[1,1],$fot(ld(B,ld(B,C)))]]) ).
cnf(refute_0_311,plain,
( ld(mult(B,B),C) != ld(B,ld(B,C))
| mult(X_41,ld(mult(B,B),C)) = mult(X_41,ld(B,ld(B,C))) ),
inference(resolve,[$cnf( $equal(mult(X_41,ld(mult(B,B),C)),mult(X_41,ld(mult(B,B),C))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
mult(X_41,ld(mult(B,B),C)) = mult(X_41,ld(B,ld(B,C))),
inference(resolve,[$cnf( $equal(ld(mult(B,B),C),ld(B,ld(B,C))) )],[refute_0_308,refute_0_311]) ).
cnf(refute_0_313,plain,
( mult(X_41,ld(mult(B,B),C)) != mult(X_41,ld(B,ld(B,C)))
| mult(X_41,ld(mult(B,B),C)) != mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C))
| mult(X_41,ld(B,ld(B,C))) = mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_41,ld(mult(B,B),C)),mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C))) ),[0],$fot(mult(X_41,ld(B,ld(B,C))))]]) ).
cnf(refute_0_314,plain,
( mult(X_41,ld(mult(B,B),C)) != mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C))
| mult(X_41,ld(B,ld(B,C))) = mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C)) ),
inference(resolve,[$cnf( $equal(mult(X_41,ld(mult(B,B),C)),mult(X_41,ld(B,ld(B,C)))) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
mult(X_41,ld(B,ld(B,C))) = mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C)),
inference(resolve,[$cnf( $equal(mult(X_41,ld(mult(B,B),C)),mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C))) )],[refute_0_219,refute_0_314]) ).
cnf(refute_0_316,plain,
mult(rd(X_41,mult(B,B)),ld(B,ld(B,B))) = mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),
inference(subst,[],[refute_0_114:[bind(B,$fot(ld(B,ld(B,B)))),bind(X_101,$fot(X_41)),bind(X_103,$fot(B)),bind(X_26,$fot(B))]]) ).
cnf(refute_0_317,plain,
mult(rd(X_41,mult(B,mult(B,B))),ld(B,B)) = mult(rd(X_41,mult(B,B)),ld(B,ld(B,B))),
inference(subst,[],[refute_0_114:[bind(B,$fot(ld(B,B))),bind(X_101,$fot(X_41)),bind(X_103,$fot(mult(B,B))),bind(X_26,$fot(B))]]) ).
cnf(refute_0_318,plain,
( mult(rd(X_41,mult(B,B)),ld(B,ld(B,B))) != mult(rd(X_41,B),ld(B,ld(B,ld(B,B))))
| mult(rd(X_41,mult(B,mult(B,B))),ld(B,B)) != mult(rd(X_41,mult(B,B)),ld(B,ld(B,B)))
| mult(rd(X_41,mult(B,mult(B,B))),ld(B,B)) = mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(mult(rd(X_41,mult(B,mult(B,B))),ld(B,B)))),bind(Y,$fot(mult(rd(X_41,mult(B,B)),ld(B,ld(B,B))))),bind(Z,$fot(mult(rd(X_41,B),ld(B,ld(B,ld(B,B))))))]]) ).
cnf(refute_0_319,plain,
( mult(rd(X_41,mult(B,B)),ld(B,ld(B,B))) != mult(rd(X_41,B),ld(B,ld(B,ld(B,B))))
| mult(rd(X_41,mult(B,mult(B,B))),ld(B,B)) = mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_41,mult(B,mult(B,B))),ld(B,B)),mult(rd(X_41,mult(B,B)),ld(B,ld(B,B)))) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
mult(rd(X_41,mult(B,mult(B,B))),ld(B,B)) = mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),
inference(resolve,[$cnf( $equal(mult(rd(X_41,mult(B,B)),ld(B,ld(B,B))),mult(rd(X_41,B),ld(B,ld(B,ld(B,B))))) )],[refute_0_316,refute_0_319]) ).
cnf(refute_0_321,plain,
mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B) = mult(rd(X_41,mult(B,mult(B,B))),ld(B,B)),
inference(subst,[],[refute_0_114:[bind(X_101,$fot(X_41)),bind(X_103,$fot(mult(B,mult(B,B)))),bind(X_26,$fot(B))]]) ).
cnf(refute_0_322,plain,
( mult(rd(X_41,mult(B,mult(B,B))),ld(B,B)) != mult(rd(X_41,B),ld(B,ld(B,ld(B,B))))
| mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B) != mult(rd(X_41,mult(B,mult(B,B))),ld(B,B))
| mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B) = mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B))),bind(Y,$fot(mult(rd(X_41,mult(B,mult(B,B))),ld(B,B)))),bind(Z,$fot(mult(rd(X_41,B),ld(B,ld(B,ld(B,B))))))]]) ).
cnf(refute_0_323,plain,
( mult(rd(X_41,mult(B,mult(B,B))),ld(B,B)) != mult(rd(X_41,B),ld(B,ld(B,ld(B,B))))
| mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B) = mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(rd(X_41,mult(B,mult(B,B))),ld(B,B))) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B) = mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),
inference(resolve,[$cnf( $equal(mult(rd(X_41,mult(B,mult(B,B))),ld(B,B)),mult(rd(X_41,B),ld(B,ld(B,ld(B,B))))) )],[refute_0_320,refute_0_323]) ).
cnf(refute_0_325,plain,
mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C)) = mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C)),
introduced(tautology,[refl,[$fot(mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C)))]]) ).
cnf(refute_0_326,plain,
( mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C)) != mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C))
| mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B) != mult(rd(X_41,B),ld(B,ld(B,ld(B,B))))
| mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C)) = mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C)),mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C))) ),[1,0],$fot(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))))]]) ).
cnf(refute_0_327,plain,
( mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B) != mult(rd(X_41,B),ld(B,ld(B,ld(B,B))))
| mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C)) = mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C)),mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C))) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C)) = mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)),
inference(resolve,[$cnf( $equal(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(rd(X_41,B),ld(B,ld(B,ld(B,B))))) )],[refute_0_324,refute_0_327]) ).
cnf(refute_0_329,plain,
( mult(X_41,ld(B,ld(B,C))) != mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C))
| mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C)) != mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C))
| mult(X_41,ld(B,ld(B,C))) = mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_41,ld(B,ld(B,C))),mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C))) ),[0],$fot(mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C)))]]) ).
cnf(refute_0_330,plain,
( mult(X_41,ld(B,ld(B,C))) != mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C))
| mult(X_41,ld(B,ld(B,C))) = mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C)),mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C))) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
mult(X_41,ld(B,ld(B,C))) = mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)),
inference(resolve,[$cnf( $equal(mult(X_41,ld(B,ld(B,C))),mult(mult(rd(X_41,mult(B,mult(B,mult(B,B)))),B),mult(B,C))) )],[refute_0_315,refute_0_330]) ).
cnf(refute_0_332,plain,
ld(B,mult(B,C)) = C,
inference(subst,[],[f02:[bind(A,$fot(B)),bind(B,$fot(C))]]) ).
cnf(refute_0_333,plain,
ld(B,ld(B,mult(B,C))) = ld(B,ld(B,mult(B,C))),
introduced(tautology,[refl,[$fot(ld(B,ld(B,mult(B,C))))]]) ).
cnf(refute_0_334,plain,
( ld(B,ld(B,mult(B,C))) != ld(B,ld(B,mult(B,C)))
| ld(B,mult(B,C)) != C
| ld(B,ld(B,mult(B,C))) = ld(B,C) ),
introduced(tautology,[equality,[$cnf( $equal(ld(B,ld(B,mult(B,C))),ld(B,ld(B,mult(B,C)))) ),[1,1],$fot(C)]]) ).
cnf(refute_0_335,plain,
( ld(B,mult(B,C)) != C
| ld(B,ld(B,mult(B,C))) = ld(B,C) ),
inference(resolve,[$cnf( $equal(ld(B,ld(B,mult(B,C))),ld(B,ld(B,mult(B,C)))) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
ld(B,ld(B,mult(B,C))) = ld(B,C),
inference(resolve,[$cnf( $equal(ld(B,mult(B,C)),C) )],[refute_0_332,refute_0_335]) ).
cnf(refute_0_337,plain,
mult(rd(X_41,B),ld(B,ld(B,mult(B,C)))) = mult(rd(X_41,B),ld(B,ld(B,mult(B,C)))),
introduced(tautology,[refl,[$fot(mult(rd(X_41,B),ld(B,ld(B,mult(B,C)))))]]) ).
cnf(refute_0_338,plain,
( ld(B,ld(B,mult(B,C))) != ld(B,C)
| mult(rd(X_41,B),ld(B,ld(B,mult(B,C)))) != mult(rd(X_41,B),ld(B,ld(B,mult(B,C))))
| mult(rd(X_41,B),ld(B,ld(B,mult(B,C)))) = mult(rd(X_41,B),ld(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_41,B),ld(B,ld(B,mult(B,C)))),mult(rd(X_41,B),ld(B,ld(B,mult(B,C))))) ),[1,1],$fot(ld(B,C))]]) ).
cnf(refute_0_339,plain,
( ld(B,ld(B,mult(B,C))) != ld(B,C)
| mult(rd(X_41,B),ld(B,ld(B,mult(B,C)))) = mult(rd(X_41,B),ld(B,C)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_41,B),ld(B,ld(B,mult(B,C)))),mult(rd(X_41,B),ld(B,ld(B,mult(B,C))))) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
mult(rd(X_41,B),ld(B,ld(B,mult(B,C)))) = mult(rd(X_41,B),ld(B,C)),
inference(resolve,[$cnf( $equal(ld(B,ld(B,mult(B,C))),ld(B,C)) )],[refute_0_336,refute_0_339]) ).
cnf(refute_0_341,plain,
mult(rd(X_41,mult(B,B)),ld(B,mult(B,C))) = mult(rd(X_41,B),ld(B,ld(B,mult(B,C)))),
inference(subst,[],[refute_0_114:[bind(B,$fot(ld(B,mult(B,C)))),bind(X_101,$fot(X_41)),bind(X_103,$fot(B)),bind(X_26,$fot(B))]]) ).
cnf(refute_0_342,plain,
( mult(rd(X_41,B),ld(B,ld(B,mult(B,C)))) != mult(rd(X_41,B),ld(B,C))
| mult(rd(X_41,mult(B,B)),ld(B,mult(B,C))) != mult(rd(X_41,B),ld(B,ld(B,mult(B,C))))
| mult(rd(X_41,mult(B,B)),ld(B,mult(B,C))) = mult(rd(X_41,B),ld(B,C)) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(mult(rd(X_41,mult(B,B)),ld(B,mult(B,C))))),bind(Y,$fot(mult(rd(X_41,B),ld(B,ld(B,mult(B,C)))))),bind(Z,$fot(mult(rd(X_41,B),ld(B,C))))]]) ).
cnf(refute_0_343,plain,
( mult(rd(X_41,B),ld(B,ld(B,mult(B,C)))) != mult(rd(X_41,B),ld(B,C))
| mult(rd(X_41,mult(B,B)),ld(B,mult(B,C))) = mult(rd(X_41,B),ld(B,C)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_41,mult(B,B)),ld(B,mult(B,C))),mult(rd(X_41,B),ld(B,ld(B,mult(B,C))))) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
mult(rd(X_41,mult(B,B)),ld(B,mult(B,C))) = mult(rd(X_41,B),ld(B,C)),
inference(resolve,[$cnf( $equal(mult(rd(X_41,B),ld(B,ld(B,mult(B,C)))),mult(rd(X_41,B),ld(B,C))) )],[refute_0_340,refute_0_343]) ).
cnf(refute_0_345,plain,
mult(rd(X_41,mult(B,mult(B,B))),mult(B,C)) = mult(rd(X_41,mult(B,B)),ld(B,mult(B,C))),
inference(subst,[],[refute_0_114:[bind(B,$fot(mult(B,C))),bind(X_101,$fot(X_41)),bind(X_103,$fot(mult(B,B))),bind(X_26,$fot(B))]]) ).
cnf(refute_0_346,plain,
( mult(rd(X_41,mult(B,B)),ld(B,mult(B,C))) != mult(rd(X_41,B),ld(B,C))
| mult(rd(X_41,mult(B,mult(B,B))),mult(B,C)) != mult(rd(X_41,mult(B,B)),ld(B,mult(B,C)))
| mult(rd(X_41,mult(B,mult(B,B))),mult(B,C)) = mult(rd(X_41,B),ld(B,C)) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(mult(rd(X_41,mult(B,mult(B,B))),mult(B,C)))),bind(Y,$fot(mult(rd(X_41,mult(B,B)),ld(B,mult(B,C))))),bind(Z,$fot(mult(rd(X_41,B),ld(B,C))))]]) ).
cnf(refute_0_347,plain,
( mult(rd(X_41,mult(B,B)),ld(B,mult(B,C))) != mult(rd(X_41,B),ld(B,C))
| mult(rd(X_41,mult(B,mult(B,B))),mult(B,C)) = mult(rd(X_41,B),ld(B,C)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_41,mult(B,mult(B,B))),mult(B,C)),mult(rd(X_41,mult(B,B)),ld(B,mult(B,C)))) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
mult(rd(X_41,mult(B,mult(B,B))),mult(B,C)) = mult(rd(X_41,B),ld(B,C)),
inference(resolve,[$cnf( $equal(mult(rd(X_41,mult(B,B)),ld(B,mult(B,C))),mult(rd(X_41,B),ld(B,C))) )],[refute_0_344,refute_0_347]) ).
cnf(refute_0_349,plain,
rd(X_101,mult(mult(B,B),X_103)) = mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B)),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_101)),bind(X_53,$fot(mult(B,B))),bind(X_54,$fot(X_103))]]) ).
cnf(refute_0_350,plain,
mult(mult(B,B),X_103) = mult(B,mult(B,X_103)),
inference(subst,[],[refute_0_203:[bind(C,$fot(X_103))]]) ).
cnf(refute_0_351,plain,
( mult(mult(B,B),X_103) != mult(B,mult(B,X_103))
| rd(X_101,mult(mult(B,B),X_103)) != mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B))
| rd(X_101,mult(B,mult(B,X_103))) = mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_101,mult(mult(B,B),X_103)),mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B))) ),[0,1],$fot(mult(B,mult(B,X_103)))]]) ).
cnf(refute_0_352,plain,
( rd(X_101,mult(mult(B,B),X_103)) != mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B))
| rd(X_101,mult(B,mult(B,X_103))) = mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B)) ),
inference(resolve,[$cnf( $equal(mult(mult(B,B),X_103),mult(B,mult(B,X_103))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
rd(X_101,mult(B,mult(B,X_103))) = mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B)),
inference(resolve,[$cnf( $equal(rd(X_101,mult(mult(B,B),X_103)),mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B))) )],[refute_0_349,refute_0_352]) ).
cnf(refute_0_354,plain,
ld(B,mult(B,B)) = B,
inference(subst,[],[f02:[bind(A,$fot(B))]]) ).
cnf(refute_0_355,plain,
ld(B,ld(B,mult(B,B))) = ld(B,ld(B,mult(B,B))),
introduced(tautology,[refl,[$fot(ld(B,ld(B,mult(B,B))))]]) ).
cnf(refute_0_356,plain,
( ld(B,ld(B,mult(B,B))) != ld(B,ld(B,mult(B,B)))
| ld(B,mult(B,B)) != B
| ld(B,ld(B,mult(B,B))) = ld(B,B) ),
introduced(tautology,[equality,[$cnf( $equal(ld(B,ld(B,mult(B,B))),ld(B,ld(B,mult(B,B)))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_357,plain,
( ld(B,mult(B,B)) != B
| ld(B,ld(B,mult(B,B))) = ld(B,B) ),
inference(resolve,[$cnf( $equal(ld(B,ld(B,mult(B,B))),ld(B,ld(B,mult(B,B)))) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
ld(B,ld(B,mult(B,B))) = ld(B,B),
inference(resolve,[$cnf( $equal(ld(B,mult(B,B)),B) )],[refute_0_354,refute_0_357]) ).
cnf(refute_0_359,plain,
ld(mult(B,B),mult(B,B)) = ld(B,ld(B,mult(B,B))),
inference(subst,[],[refute_0_307:[bind(X_90,$fot(mult(B,B)))]]) ).
cnf(refute_0_360,plain,
( ld(B,ld(B,mult(B,B))) != ld(B,B)
| ld(mult(B,B),mult(B,B)) != ld(B,ld(B,mult(B,B)))
| ld(mult(B,B),mult(B,B)) = ld(B,B) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(ld(mult(B,B),mult(B,B)))),bind(Y,$fot(ld(B,ld(B,mult(B,B))))),bind(Z,$fot(ld(B,B)))]]) ).
cnf(refute_0_361,plain,
( ld(B,ld(B,mult(B,B))) != ld(B,B)
| ld(mult(B,B),mult(B,B)) = ld(B,B) ),
inference(resolve,[$cnf( $equal(ld(mult(B,B),mult(B,B)),ld(B,ld(B,mult(B,B)))) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
ld(mult(B,B),mult(B,B)) = ld(B,B),
inference(resolve,[$cnf( $equal(ld(B,ld(B,mult(B,B))),ld(B,B)) )],[refute_0_358,refute_0_361]) ).
cnf(refute_0_363,plain,
ld(B,ld(mult(B,B),mult(B,B))) = ld(B,ld(mult(B,B),mult(B,B))),
introduced(tautology,[refl,[$fot(ld(B,ld(mult(B,B),mult(B,B))))]]) ).
cnf(refute_0_364,plain,
( ld(B,ld(mult(B,B),mult(B,B))) != ld(B,ld(mult(B,B),mult(B,B)))
| ld(mult(B,B),mult(B,B)) != ld(B,B)
| ld(B,ld(mult(B,B),mult(B,B))) = ld(B,ld(B,B)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(B,ld(mult(B,B),mult(B,B))),ld(B,ld(mult(B,B),mult(B,B)))) ),[1,1],$fot(ld(B,B))]]) ).
cnf(refute_0_365,plain,
( ld(mult(B,B),mult(B,B)) != ld(B,B)
| ld(B,ld(mult(B,B),mult(B,B))) = ld(B,ld(B,B)) ),
inference(resolve,[$cnf( $equal(ld(B,ld(mult(B,B),mult(B,B))),ld(B,ld(mult(B,B),mult(B,B)))) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
ld(B,ld(mult(B,B),mult(B,B))) = ld(B,ld(B,B)),
inference(resolve,[$cnf( $equal(ld(mult(B,B),mult(B,B)),ld(B,B)) )],[refute_0_362,refute_0_365]) ).
cnf(refute_0_367,plain,
mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B)))) = mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B)))),
introduced(tautology,[refl,[$fot(mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B)))))]]) ).
cnf(refute_0_368,plain,
( ld(B,ld(mult(B,B),mult(B,B))) != ld(B,ld(B,B))
| mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B)))) != mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B))))
| mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B)))) = mult(rd(rd(X_101,X_103),B),ld(B,ld(B,B))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B)))),mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B))))) ),[1,1],$fot(ld(B,ld(B,B)))]]) ).
cnf(refute_0_369,plain,
( ld(B,ld(mult(B,B),mult(B,B))) != ld(B,ld(B,B))
| mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B)))) = mult(rd(rd(X_101,X_103),B),ld(B,ld(B,B))) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B)))),mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B))))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B)))) = mult(rd(rd(X_101,X_103),B),ld(B,ld(B,B))),
inference(resolve,[$cnf( $equal(ld(B,ld(mult(B,B),mult(B,B))),ld(B,ld(B,B))) )],[refute_0_366,refute_0_369]) ).
cnf(refute_0_371,plain,
mult(rd(rd(X_101,X_103),mult(B,B)),ld(mult(B,B),mult(B,B))) = mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B)))),
inference(subst,[],[refute_0_114:[bind(B,$fot(ld(mult(B,B),mult(B,B)))),bind(X_101,$fot(rd(X_101,X_103))),bind(X_103,$fot(B)),bind(X_26,$fot(B))]]) ).
cnf(refute_0_372,plain,
mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B)) = mult(rd(rd(X_101,X_103),mult(B,B)),ld(mult(B,B),mult(B,B))),
inference(subst,[],[refute_0_114:[bind(B,$fot(mult(B,B))),bind(X_101,$fot(rd(X_101,X_103))),bind(X_103,$fot(mult(B,B))),bind(X_26,$fot(mult(B,B)))]]) ).
cnf(refute_0_373,plain,
( mult(rd(rd(X_101,X_103),mult(B,B)),ld(mult(B,B),mult(B,B))) != mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B))))
| mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B)) != mult(rd(rd(X_101,X_103),mult(B,B)),ld(mult(B,B),mult(B,B)))
| mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B)) = mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B)))) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B)))),bind(Y,$fot(mult(rd(rd(X_101,X_103),mult(B,B)),ld(mult(B,B),mult(B,B))))),bind(Z,$fot(mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B))))))]]) ).
cnf(refute_0_374,plain,
( mult(rd(rd(X_101,X_103),mult(B,B)),ld(mult(B,B),mult(B,B))) != mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B))))
| mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B)) = mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B)))) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B)),mult(rd(rd(X_101,X_103),mult(B,B)),ld(mult(B,B),mult(B,B)))) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B)) = mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B)))),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_101,X_103),mult(B,B)),ld(mult(B,B),mult(B,B))),mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B))))) )],[refute_0_371,refute_0_374]) ).
cnf(refute_0_376,plain,
( mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B)))) != mult(rd(rd(X_101,X_103),B),ld(B,ld(B,B)))
| mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B)) != mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B))))
| mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B)) = mult(rd(rd(X_101,X_103),B),ld(B,ld(B,B))) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B)))),bind(Y,$fot(mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B)))))),bind(Z,$fot(mult(rd(rd(X_101,X_103),B),ld(B,ld(B,B)))))]]) ).
cnf(refute_0_377,plain,
( mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B)))) != mult(rd(rd(X_101,X_103),B),ld(B,ld(B,B)))
| mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B)) = mult(rd(rd(X_101,X_103),B),ld(B,ld(B,B))) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B)),mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B))))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B)) = mult(rd(rd(X_101,X_103),B),ld(B,ld(B,B))),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_101,X_103),B),ld(B,ld(mult(B,B),mult(B,B)))),mult(rd(rd(X_101,X_103),B),ld(B,ld(B,B)))) )],[refute_0_370,refute_0_377]) ).
cnf(refute_0_379,plain,
( mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B)) != mult(rd(rd(X_101,X_103),B),ld(B,ld(B,B)))
| rd(X_101,mult(B,mult(B,X_103))) != mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B))
| rd(X_101,mult(B,mult(B,X_103))) = mult(rd(rd(X_101,X_103),B),ld(B,ld(B,B))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_101,mult(B,mult(B,X_103))),mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B))) ),[1],$fot(mult(rd(rd(X_101,X_103),B),ld(B,ld(B,B))))]]) ).
cnf(refute_0_380,plain,
( rd(X_101,mult(B,mult(B,X_103))) != mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B))
| rd(X_101,mult(B,mult(B,X_103))) = mult(rd(rd(X_101,X_103),B),ld(B,ld(B,B))) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B)),mult(rd(rd(X_101,X_103),B),ld(B,ld(B,B)))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
rd(X_101,mult(B,mult(B,X_103))) = mult(rd(rd(X_101,X_103),B),ld(B,ld(B,B))),
inference(resolve,[$cnf( $equal(rd(X_101,mult(B,mult(B,X_103))),mult(rd(rd(X_101,X_103),mult(mult(B,B),mult(B,B))),mult(B,B))) )],[refute_0_353,refute_0_380]) ).
cnf(refute_0_382,plain,
rd(mult(mult(X_13,rd(B,mult(B,B))),mult(rd(B,mult(B,B)),B)),B) = mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B)))),
inference(subst,[],[refute_0_5:[bind(X_14,$fot(rd(B,mult(B,B))))]]) ).
cnf(refute_0_383,plain,
rd(X_58,X_58) = mult(rd(B,mult(B,B)),B),
inference(subst,[],[refute_0_54:[bind(X_55,$fot(X_58)),bind(X_57,$fot(B))]]) ).
cnf(refute_0_384,plain,
( rd(X_58,X_58) != mult(rd(B,mult(B,B)),B)
| mult(rd(B,mult(B,B)),B) = rd(X_58,X_58) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(rd(X_58,X_58))),bind(Y,$fot(mult(rd(B,mult(B,B)),B)))]]) ).
cnf(refute_0_385,plain,
mult(rd(B,mult(B,B)),B) = rd(X_58,X_58),
inference(resolve,[$cnf( $equal(rd(X_58,X_58),mult(rd(B,mult(B,B)),B)) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
( mult(rd(B,mult(B,B)),B) != rd(X_58,X_58)
| rd(mult(mult(X_13,rd(B,mult(B,B))),mult(rd(B,mult(B,B)),B)),B) != mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B))))
| rd(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),B) = mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_13,rd(B,mult(B,B))),mult(rd(B,mult(B,B)),B)),B),mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B))))) ),[0,0,1],$fot(rd(X_58,X_58))]]) ).
cnf(refute_0_387,plain,
( rd(mult(mult(X_13,rd(B,mult(B,B))),mult(rd(B,mult(B,B)),B)),B) != mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B))))
| rd(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),B) = mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B)))) ),
inference(resolve,[$cnf( $equal(mult(rd(B,mult(B,B)),B),rd(X_58,X_58)) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
rd(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),B) = mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B)))),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_13,rd(B,mult(B,B))),mult(rd(B,mult(B,B)),B)),B),mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B))))) )],[refute_0_382,refute_0_387]) ).
cnf(refute_0_389,plain,
rd(X_103,mult(X_102,X_103)) = mult(rd(rd(X_103,X_103),mult(X_102,X_102)),X_102),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_103)),bind(X_53,$fot(X_102)),bind(X_54,$fot(X_103))]]) ).
cnf(refute_0_390,plain,
rd(mult(rd(B,mult(B,B)),B),B) = rd(B,mult(B,B)),
inference(subst,[],[f04:[bind(A,$fot(rd(B,mult(B,B))))]]) ).
cnf(refute_0_391,plain,
( mult(rd(B,mult(B,B)),B) != rd(X_58,X_58)
| rd(mult(rd(B,mult(B,B)),B),B) != rd(B,mult(B,B))
| rd(rd(X_58,X_58),B) = rd(B,mult(B,B)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(B,mult(B,B)),B),B),rd(B,mult(B,B))) ),[0,0],$fot(rd(X_58,X_58))]]) ).
cnf(refute_0_392,plain,
( rd(mult(rd(B,mult(B,B)),B),B) != rd(B,mult(B,B))
| rd(rd(X_58,X_58),B) = rd(B,mult(B,B)) ),
inference(resolve,[$cnf( $equal(mult(rd(B,mult(B,B)),B),rd(X_58,X_58)) )],[refute_0_385,refute_0_391]) ).
cnf(refute_0_393,plain,
rd(rd(X_58,X_58),B) = rd(B,mult(B,B)),
inference(resolve,[$cnf( $equal(rd(mult(rd(B,mult(B,B)),B),B),rd(B,mult(B,B))) )],[refute_0_390,refute_0_392]) ).
cnf(refute_0_394,plain,
rd(rd(X_103,X_103),mult(X_102,X_102)) = rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))),
inference(subst,[],[refute_0_393:[bind(B,$fot(mult(X_102,X_102))),bind(X_58,$fot(X_103))]]) ).
cnf(refute_0_395,plain,
( rd(X_103,mult(X_102,X_103)) != mult(rd(rd(X_103,X_103),mult(X_102,X_102)),X_102)
| rd(rd(X_103,X_103),mult(X_102,X_102)) != rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102)))
| rd(X_103,mult(X_102,X_103)) = mult(rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))),X_102) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_103,mult(X_102,X_103)),mult(rd(rd(X_103,X_103),mult(X_102,X_102)),X_102)) ),[1,0],$fot(rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))))]]) ).
cnf(refute_0_396,plain,
( rd(X_103,mult(X_102,X_103)) != mult(rd(rd(X_103,X_103),mult(X_102,X_102)),X_102)
| rd(X_103,mult(X_102,X_103)) = mult(rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))),X_102) ),
inference(resolve,[$cnf( $equal(rd(rd(X_103,X_103),mult(X_102,X_102)),rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102)))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
rd(X_103,mult(X_102,X_103)) = mult(rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))),X_102),
inference(resolve,[$cnf( $equal(rd(X_103,mult(X_102,X_103)),mult(rd(rd(X_103,X_103),mult(X_102,X_102)),X_102)) )],[refute_0_389,refute_0_396]) ).
cnf(refute_0_398,plain,
mult(X_102,ld(X_102,ld(X_102,ld(X_102,X_102)))) = ld(X_102,ld(X_102,X_102)),
inference(subst,[],[f01:[bind(A,$fot(X_102)),bind(B,$fot(ld(X_102,ld(X_102,X_102))))]]) ).
cnf(refute_0_399,plain,
ld(mult(X_102,X_102),X_102) = ld(X_102,ld(X_102,X_102)),
inference(subst,[],[refute_0_307:[bind(B,$fot(X_102)),bind(X_90,$fot(X_102))]]) ).
cnf(refute_0_400,plain,
ld(X_102,ld(mult(X_102,X_102),X_102)) = ld(X_102,ld(mult(X_102,X_102),X_102)),
introduced(tautology,[refl,[$fot(ld(X_102,ld(mult(X_102,X_102),X_102)))]]) ).
cnf(refute_0_401,plain,
( ld(X_102,ld(mult(X_102,X_102),X_102)) != ld(X_102,ld(mult(X_102,X_102),X_102))
| ld(mult(X_102,X_102),X_102) != ld(X_102,ld(X_102,X_102))
| ld(X_102,ld(mult(X_102,X_102),X_102)) = ld(X_102,ld(X_102,ld(X_102,X_102))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_102,ld(mult(X_102,X_102),X_102)),ld(X_102,ld(mult(X_102,X_102),X_102))) ),[1,1],$fot(ld(X_102,ld(X_102,X_102)))]]) ).
cnf(refute_0_402,plain,
( ld(mult(X_102,X_102),X_102) != ld(X_102,ld(X_102,X_102))
| ld(X_102,ld(mult(X_102,X_102),X_102)) = ld(X_102,ld(X_102,ld(X_102,X_102))) ),
inference(resolve,[$cnf( $equal(ld(X_102,ld(mult(X_102,X_102),X_102)),ld(X_102,ld(mult(X_102,X_102),X_102))) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
ld(X_102,ld(mult(X_102,X_102),X_102)) = ld(X_102,ld(X_102,ld(X_102,X_102))),
inference(resolve,[$cnf( $equal(ld(mult(X_102,X_102),X_102),ld(X_102,ld(X_102,X_102))) )],[refute_0_399,refute_0_402]) ).
cnf(refute_0_404,plain,
mult(X_102,ld(X_102,ld(mult(X_102,X_102),X_102))) = mult(X_102,ld(X_102,ld(mult(X_102,X_102),X_102))),
introduced(tautology,[refl,[$fot(mult(X_102,ld(X_102,ld(mult(X_102,X_102),X_102))))]]) ).
cnf(refute_0_405,plain,
( ld(X_102,ld(mult(X_102,X_102),X_102)) != ld(X_102,ld(X_102,ld(X_102,X_102)))
| mult(X_102,ld(X_102,ld(mult(X_102,X_102),X_102))) != mult(X_102,ld(X_102,ld(mult(X_102,X_102),X_102)))
| mult(X_102,ld(X_102,ld(mult(X_102,X_102),X_102))) = mult(X_102,ld(X_102,ld(X_102,ld(X_102,X_102)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_102,ld(X_102,ld(mult(X_102,X_102),X_102))),mult(X_102,ld(X_102,ld(mult(X_102,X_102),X_102)))) ),[1,1],$fot(ld(X_102,ld(X_102,ld(X_102,X_102))))]]) ).
cnf(refute_0_406,plain,
( ld(X_102,ld(mult(X_102,X_102),X_102)) != ld(X_102,ld(X_102,ld(X_102,X_102)))
| mult(X_102,ld(X_102,ld(mult(X_102,X_102),X_102))) = mult(X_102,ld(X_102,ld(X_102,ld(X_102,X_102)))) ),
inference(resolve,[$cnf( $equal(mult(X_102,ld(X_102,ld(mult(X_102,X_102),X_102))),mult(X_102,ld(X_102,ld(mult(X_102,X_102),X_102)))) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
mult(X_102,ld(X_102,ld(mult(X_102,X_102),X_102))) = mult(X_102,ld(X_102,ld(X_102,ld(X_102,X_102)))),
inference(resolve,[$cnf( $equal(ld(X_102,ld(mult(X_102,X_102),X_102)),ld(X_102,ld(X_102,ld(X_102,X_102)))) )],[refute_0_403,refute_0_406]) ).
cnf(refute_0_408,plain,
rd(mult(X_102,X_102),X_102) = X_102,
inference(subst,[],[f04:[bind(A,$fot(X_102)),bind(B,$fot(X_102))]]) ).
cnf(refute_0_409,plain,
mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))) = mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))),
introduced(tautology,[refl,[$fot(mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))))]]) ).
cnf(refute_0_410,plain,
( mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))) != mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102)))
| rd(mult(X_102,X_102),X_102) != X_102
| mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))) = mult(X_102,ld(X_102,ld(mult(X_102,X_102),X_102))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))),mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102)))) ),[1,0],$fot(X_102)]]) ).
cnf(refute_0_411,plain,
( rd(mult(X_102,X_102),X_102) != X_102
| mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))) = mult(X_102,ld(X_102,ld(mult(X_102,X_102),X_102))) ),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))),mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102)))) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))) = mult(X_102,ld(X_102,ld(mult(X_102,X_102),X_102))),
inference(resolve,[$cnf( $equal(rd(mult(X_102,X_102),X_102),X_102) )],[refute_0_408,refute_0_411]) ).
cnf(refute_0_413,plain,
( mult(X_102,ld(X_102,ld(mult(X_102,X_102),X_102))) != mult(X_102,ld(X_102,ld(X_102,ld(X_102,X_102))))
| mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))) != mult(X_102,ld(X_102,ld(mult(X_102,X_102),X_102)))
| mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))) = mult(X_102,ld(X_102,ld(X_102,ld(X_102,X_102)))) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))))),bind(Y,$fot(mult(X_102,ld(X_102,ld(mult(X_102,X_102),X_102))))),bind(Z,$fot(mult(X_102,ld(X_102,ld(X_102,ld(X_102,X_102))))))]]) ).
cnf(refute_0_414,plain,
( mult(X_102,ld(X_102,ld(mult(X_102,X_102),X_102))) != mult(X_102,ld(X_102,ld(X_102,ld(X_102,X_102))))
| mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))) = mult(X_102,ld(X_102,ld(X_102,ld(X_102,X_102)))) ),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))),mult(X_102,ld(X_102,ld(mult(X_102,X_102),X_102)))) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))) = mult(X_102,ld(X_102,ld(X_102,ld(X_102,X_102)))),
inference(resolve,[$cnf( $equal(mult(X_102,ld(X_102,ld(mult(X_102,X_102),X_102))),mult(X_102,ld(X_102,ld(X_102,ld(X_102,X_102))))) )],[refute_0_407,refute_0_414]) ).
cnf(refute_0_416,plain,
( mult(X_102,ld(X_102,ld(X_102,ld(X_102,X_102)))) != ld(X_102,ld(X_102,X_102))
| mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))) != mult(X_102,ld(X_102,ld(X_102,ld(X_102,X_102))))
| mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))) = ld(X_102,ld(X_102,X_102)) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))))),bind(Y,$fot(mult(X_102,ld(X_102,ld(X_102,ld(X_102,X_102)))))),bind(Z,$fot(ld(X_102,ld(X_102,X_102))))]]) ).
cnf(refute_0_417,plain,
( mult(X_102,ld(X_102,ld(X_102,ld(X_102,X_102)))) != ld(X_102,ld(X_102,X_102))
| mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))) = ld(X_102,ld(X_102,X_102)) ),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))),mult(X_102,ld(X_102,ld(X_102,ld(X_102,X_102))))) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))) = ld(X_102,ld(X_102,X_102)),
inference(resolve,[$cnf( $equal(mult(X_102,ld(X_102,ld(X_102,ld(X_102,X_102)))),ld(X_102,ld(X_102,X_102))) )],[refute_0_398,refute_0_417]) ).
cnf(refute_0_419,plain,
mult(rd(mult(X_102,X_102),mult(X_102,X_102)),ld(mult(X_102,X_102),X_102)) = mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))),
inference(subst,[],[refute_0_114:[bind(B,$fot(ld(mult(X_102,X_102),X_102))),bind(X_101,$fot(mult(X_102,X_102))),bind(X_103,$fot(X_102)),bind(X_26,$fot(X_102))]]) ).
cnf(refute_0_420,plain,
mult(rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))),X_102) = mult(rd(mult(X_102,X_102),mult(X_102,X_102)),ld(mult(X_102,X_102),X_102)),
inference(subst,[],[refute_0_114:[bind(B,$fot(X_102)),bind(X_101,$fot(mult(X_102,X_102))),bind(X_103,$fot(mult(X_102,X_102))),bind(X_26,$fot(mult(X_102,X_102)))]]) ).
cnf(refute_0_421,plain,
( mult(rd(mult(X_102,X_102),mult(X_102,X_102)),ld(mult(X_102,X_102),X_102)) != mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102)))
| mult(rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))),X_102) != mult(rd(mult(X_102,X_102),mult(X_102,X_102)),ld(mult(X_102,X_102),X_102))
| mult(rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))),X_102) = mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(mult(rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))),X_102))),bind(Y,$fot(mult(rd(mult(X_102,X_102),mult(X_102,X_102)),ld(mult(X_102,X_102),X_102)))),bind(Z,$fot(mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102)))))]]) ).
cnf(refute_0_422,plain,
( mult(rd(mult(X_102,X_102),mult(X_102,X_102)),ld(mult(X_102,X_102),X_102)) != mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102)))
| mult(rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))),X_102) = mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))) ),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))),X_102),mult(rd(mult(X_102,X_102),mult(X_102,X_102)),ld(mult(X_102,X_102),X_102))) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
mult(rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))),X_102) = mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_102,X_102),mult(X_102,X_102)),ld(mult(X_102,X_102),X_102)),mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102)))) )],[refute_0_419,refute_0_422]) ).
cnf(refute_0_424,plain,
( mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))) != ld(X_102,ld(X_102,X_102))
| mult(rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))),X_102) != mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102)))
| mult(rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))),X_102) = ld(X_102,ld(X_102,X_102)) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(mult(rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))),X_102))),bind(Y,$fot(mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))))),bind(Z,$fot(ld(X_102,ld(X_102,X_102))))]]) ).
cnf(refute_0_425,plain,
( mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))) != ld(X_102,ld(X_102,X_102))
| mult(rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))),X_102) = ld(X_102,ld(X_102,X_102)) ),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))),X_102),mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102)))) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
mult(rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))),X_102) = ld(X_102,ld(X_102,X_102)),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_102,X_102),X_102),ld(X_102,ld(mult(X_102,X_102),X_102))),ld(X_102,ld(X_102,X_102))) )],[refute_0_418,refute_0_425]) ).
cnf(refute_0_427,plain,
( mult(rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))),X_102) != ld(X_102,ld(X_102,X_102))
| rd(X_103,mult(X_102,X_103)) != mult(rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))),X_102)
| rd(X_103,mult(X_102,X_103)) = ld(X_102,ld(X_102,X_102)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_103,mult(X_102,X_103)),mult(rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))),X_102)) ),[1],$fot(ld(X_102,ld(X_102,X_102)))]]) ).
cnf(refute_0_428,plain,
( rd(X_103,mult(X_102,X_103)) != mult(rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))),X_102)
| rd(X_103,mult(X_102,X_103)) = ld(X_102,ld(X_102,X_102)) ),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))),X_102),ld(X_102,ld(X_102,X_102))) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
rd(X_103,mult(X_102,X_103)) = ld(X_102,ld(X_102,X_102)),
inference(resolve,[$cnf( $equal(rd(X_103,mult(X_102,X_103)),mult(rd(mult(X_102,X_102),mult(mult(X_102,X_102),mult(X_102,X_102))),X_102)) )],[refute_0_397,refute_0_428]) ).
cnf(refute_0_430,plain,
rd(B,mult(B,B)) = ld(B,ld(B,B)),
inference(subst,[],[refute_0_429:[bind(X_102,$fot(B)),bind(X_103,$fot(B))]]) ).
cnf(refute_0_431,plain,
mult(X_13,rd(B,mult(B,B))) = mult(X_13,rd(B,mult(B,B))),
introduced(tautology,[refl,[$fot(mult(X_13,rd(B,mult(B,B))))]]) ).
cnf(refute_0_432,plain,
( mult(X_13,rd(B,mult(B,B))) != mult(X_13,rd(B,mult(B,B)))
| rd(B,mult(B,B)) != ld(B,ld(B,B))
| mult(X_13,rd(B,mult(B,B))) = mult(X_13,ld(B,ld(B,B))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_13,rd(B,mult(B,B))),mult(X_13,rd(B,mult(B,B)))) ),[1,1],$fot(ld(B,ld(B,B)))]]) ).
cnf(refute_0_433,plain,
( rd(B,mult(B,B)) != ld(B,ld(B,B))
| mult(X_13,rd(B,mult(B,B))) = mult(X_13,ld(B,ld(B,B))) ),
inference(resolve,[$cnf( $equal(mult(X_13,rd(B,mult(B,B))),mult(X_13,rd(B,mult(B,B)))) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
mult(X_13,rd(B,mult(B,B))) = mult(X_13,ld(B,ld(B,B))),
inference(resolve,[$cnf( $equal(rd(B,mult(B,B)),ld(B,ld(B,B))) )],[refute_0_430,refute_0_433]) ).
cnf(refute_0_435,plain,
mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)) = mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),
introduced(tautology,[refl,[$fot(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)))]]) ).
cnf(refute_0_436,plain,
( mult(X_13,rd(B,mult(B,B))) != mult(X_13,ld(B,ld(B,B)))
| mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)) != mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58))
| mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)) = mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58))) ),[1,0],$fot(mult(X_13,ld(B,ld(B,B))))]]) ).
cnf(refute_0_437,plain,
( mult(X_13,rd(B,mult(B,B))) != mult(X_13,ld(B,ld(B,B)))
| mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)) = mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58))) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)) = mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),
inference(resolve,[$cnf( $equal(mult(X_13,rd(B,mult(B,B))),mult(X_13,ld(B,ld(B,B)))) )],[refute_0_434,refute_0_437]) ).
cnf(refute_0_439,plain,
rd(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),B) = rd(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),B),
introduced(tautology,[refl,[$fot(rd(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),B))]]) ).
cnf(refute_0_440,plain,
( mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)) != mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58))
| rd(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),B) != rd(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),B)
| rd(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),B) = rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),B),rd(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),B)) ),[1,0],$fot(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)))]]) ).
cnf(refute_0_441,plain,
( mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)) != mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58))
| rd(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),B) = rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B) ),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),B),rd(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),B)) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
rd(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),B) = rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B),
inference(resolve,[$cnf( $equal(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58))) )],[refute_0_438,refute_0_441]) ).
cnf(refute_0_443,plain,
( rd(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),B) != mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B))))
| rd(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),B) != rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B)
| rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B) = mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),B),mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B))))) ),[0],$fot(rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B))]]) ).
cnf(refute_0_444,plain,
( rd(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),B) != mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B))))
| rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B) = mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B)))) ),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),B),rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B)) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
ld(B,rd(B,mult(B,B))) = ld(B,rd(B,mult(B,B))),
introduced(tautology,[refl,[$fot(ld(B,rd(B,mult(B,B))))]]) ).
cnf(refute_0_446,plain,
( ld(B,rd(B,mult(B,B))) != ld(B,rd(B,mult(B,B)))
| rd(B,mult(B,B)) != ld(B,ld(B,B))
| ld(B,rd(B,mult(B,B))) = ld(B,ld(B,ld(B,B))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(B,rd(B,mult(B,B))),ld(B,rd(B,mult(B,B)))) ),[1,1],$fot(ld(B,ld(B,B)))]]) ).
cnf(refute_0_447,plain,
( rd(B,mult(B,B)) != ld(B,ld(B,B))
| ld(B,rd(B,mult(B,B))) = ld(B,ld(B,ld(B,B))) ),
inference(resolve,[$cnf( $equal(ld(B,rd(B,mult(B,B))),ld(B,rd(B,mult(B,B)))) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
ld(B,rd(B,mult(B,B))) = ld(B,ld(B,ld(B,B))),
inference(resolve,[$cnf( $equal(rd(B,mult(B,B)),ld(B,ld(B,B))) )],[refute_0_430,refute_0_447]) ).
cnf(refute_0_449,plain,
mult(rd(B,B),ld(B,rd(B,mult(B,B)))) = ld(B,rd(B,mult(B,B))),
inference(subst,[],[refute_0_92:[bind(C,$fot(ld(B,rd(B,mult(B,B))))),bind(X_58,$fot(B))]]) ).
cnf(refute_0_450,plain,
mult(rd(B,mult(B,B)),rd(B,mult(B,B))) = mult(rd(B,B),ld(B,rd(B,mult(B,B)))),
inference(subst,[],[refute_0_114:[bind(B,$fot(rd(B,mult(B,B)))),bind(X_101,$fot(B)),bind(X_103,$fot(B)),bind(X_26,$fot(B))]]) ).
cnf(refute_0_451,plain,
( mult(rd(B,B),ld(B,rd(B,mult(B,B)))) != ld(B,rd(B,mult(B,B)))
| mult(rd(B,mult(B,B)),rd(B,mult(B,B))) != mult(rd(B,B),ld(B,rd(B,mult(B,B))))
| mult(rd(B,mult(B,B)),rd(B,mult(B,B))) = ld(B,rd(B,mult(B,B))) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(mult(rd(B,mult(B,B)),rd(B,mult(B,B))))),bind(Y,$fot(mult(rd(B,B),ld(B,rd(B,mult(B,B)))))),bind(Z,$fot(ld(B,rd(B,mult(B,B)))))]]) ).
cnf(refute_0_452,plain,
( mult(rd(B,B),ld(B,rd(B,mult(B,B)))) != ld(B,rd(B,mult(B,B)))
| mult(rd(B,mult(B,B)),rd(B,mult(B,B))) = ld(B,rd(B,mult(B,B))) ),
inference(resolve,[$cnf( $equal(mult(rd(B,mult(B,B)),rd(B,mult(B,B))),mult(rd(B,B),ld(B,rd(B,mult(B,B))))) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
mult(rd(B,mult(B,B)),rd(B,mult(B,B))) = ld(B,rd(B,mult(B,B))),
inference(resolve,[$cnf( $equal(mult(rd(B,B),ld(B,rd(B,mult(B,B)))),ld(B,rd(B,mult(B,B)))) )],[refute_0_449,refute_0_452]) ).
cnf(refute_0_454,plain,
( ld(B,rd(B,mult(B,B))) != ld(B,ld(B,ld(B,B)))
| mult(rd(B,mult(B,B)),rd(B,mult(B,B))) != ld(B,rd(B,mult(B,B)))
| mult(rd(B,mult(B,B)),rd(B,mult(B,B))) = ld(B,ld(B,ld(B,B))) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(mult(rd(B,mult(B,B)),rd(B,mult(B,B))))),bind(Y,$fot(ld(B,rd(B,mult(B,B))))),bind(Z,$fot(ld(B,ld(B,ld(B,B)))))]]) ).
cnf(refute_0_455,plain,
( ld(B,rd(B,mult(B,B))) != ld(B,ld(B,ld(B,B)))
| mult(rd(B,mult(B,B)),rd(B,mult(B,B))) = ld(B,ld(B,ld(B,B))) ),
inference(resolve,[$cnf( $equal(mult(rd(B,mult(B,B)),rd(B,mult(B,B))),ld(B,rd(B,mult(B,B)))) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
mult(rd(B,mult(B,B)),rd(B,mult(B,B))) = ld(B,ld(B,ld(B,B))),
inference(resolve,[$cnf( $equal(ld(B,rd(B,mult(B,B))),ld(B,ld(B,ld(B,B)))) )],[refute_0_448,refute_0_455]) ).
cnf(refute_0_457,plain,
mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B)))) = mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B)))),
introduced(tautology,[refl,[$fot(mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B)))))]]) ).
cnf(refute_0_458,plain,
( mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B)))) != mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B))))
| mult(rd(B,mult(B,B)),rd(B,mult(B,B))) != ld(B,ld(B,ld(B,B)))
| mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B)))) = mult(X_13,ld(B,ld(B,ld(B,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B)))),mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B))))) ),[1,1],$fot(ld(B,ld(B,ld(B,B))))]]) ).
cnf(refute_0_459,plain,
( mult(rd(B,mult(B,B)),rd(B,mult(B,B))) != ld(B,ld(B,ld(B,B)))
| mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B)))) = mult(X_13,ld(B,ld(B,ld(B,B)))) ),
inference(resolve,[$cnf( $equal(mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B)))),mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B))))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B)))) = mult(X_13,ld(B,ld(B,ld(B,B)))),
inference(resolve,[$cnf( $equal(mult(rd(B,mult(B,B)),rd(B,mult(B,B))),ld(B,ld(B,ld(B,B)))) )],[refute_0_456,refute_0_459]) ).
cnf(refute_0_461,plain,
( mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B)))) != mult(X_13,ld(B,ld(B,ld(B,B))))
| rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B) != mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B))))
| rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B) = mult(X_13,ld(B,ld(B,ld(B,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B),mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B))))) ),[1],$fot(mult(X_13,ld(B,ld(B,ld(B,B)))))]]) ).
cnf(refute_0_462,plain,
( rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B) != mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B))))
| rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B) = mult(X_13,ld(B,ld(B,ld(B,B)))) ),
inference(resolve,[$cnf( $equal(mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B)))),mult(X_13,ld(B,ld(B,ld(B,B))))) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
( rd(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),B) != mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B))))
| rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B) = mult(X_13,ld(B,ld(B,ld(B,B)))) ),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B),mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B))))) )],[refute_0_444,refute_0_462]) ).
cnf(refute_0_464,plain,
rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B) = mult(X_13,ld(B,ld(B,ld(B,B)))),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_13,rd(B,mult(B,B))),rd(X_58,X_58)),B),mult(X_13,mult(rd(B,mult(B,B)),rd(B,mult(B,B))))) )],[refute_0_388,refute_0_463]) ).
cnf(refute_0_465,plain,
rd(mult(X_41,ld(mult(X_85,X_85),B)),B) = mult(rd(X_41,mult(mult(X_85,X_85),mult(X_85,X_85))),mult(X_85,X_85)),
inference(subst,[],[refute_0_49:[bind(X_42,$fot(mult(X_85,X_85)))]]) ).
cnf(refute_0_466,plain,
mult(mult(X_85,X_85),mult(X_85,X_85)) = mult(X_85,mult(X_85,mult(X_85,X_85))),
inference(subst,[],[refute_0_203:[bind(B,$fot(X_85)),bind(C,$fot(mult(X_85,X_85)))]]) ).
cnf(refute_0_467,plain,
( mult(mult(X_85,X_85),mult(X_85,X_85)) != mult(X_85,mult(X_85,mult(X_85,X_85)))
| rd(mult(X_41,ld(mult(X_85,X_85),B)),B) != mult(rd(X_41,mult(mult(X_85,X_85),mult(X_85,X_85))),mult(X_85,X_85))
| rd(mult(X_41,ld(mult(X_85,X_85),B)),B) = mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_41,ld(mult(X_85,X_85),B)),B),mult(rd(X_41,mult(mult(X_85,X_85),mult(X_85,X_85))),mult(X_85,X_85))) ),[1,0,1],$fot(mult(X_85,mult(X_85,mult(X_85,X_85))))]]) ).
cnf(refute_0_468,plain,
( rd(mult(X_41,ld(mult(X_85,X_85),B)),B) != mult(rd(X_41,mult(mult(X_85,X_85),mult(X_85,X_85))),mult(X_85,X_85))
| rd(mult(X_41,ld(mult(X_85,X_85),B)),B) = mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_85,X_85),mult(X_85,X_85)),mult(X_85,mult(X_85,mult(X_85,X_85)))) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
rd(mult(X_41,ld(mult(X_85,X_85),B)),B) = mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85)),
inference(resolve,[$cnf( $equal(rd(mult(X_41,ld(mult(X_85,X_85),B)),B),mult(rd(X_41,mult(mult(X_85,X_85),mult(X_85,X_85))),mult(X_85,X_85))) )],[refute_0_465,refute_0_468]) ).
cnf(refute_0_470,plain,
ld(mult(X_85,X_85),B) = ld(X_85,ld(X_85,B)),
inference(subst,[],[refute_0_307:[bind(B,$fot(X_85)),bind(X_90,$fot(B))]]) ).
cnf(refute_0_471,plain,
mult(X_41,ld(mult(X_85,X_85),B)) = mult(X_41,ld(mult(X_85,X_85),B)),
introduced(tautology,[refl,[$fot(mult(X_41,ld(mult(X_85,X_85),B)))]]) ).
cnf(refute_0_472,plain,
( ld(mult(X_85,X_85),B) != ld(X_85,ld(X_85,B))
| mult(X_41,ld(mult(X_85,X_85),B)) != mult(X_41,ld(mult(X_85,X_85),B))
| mult(X_41,ld(mult(X_85,X_85),B)) = mult(X_41,ld(X_85,ld(X_85,B))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_41,ld(mult(X_85,X_85),B)),mult(X_41,ld(mult(X_85,X_85),B))) ),[1,1],$fot(ld(X_85,ld(X_85,B)))]]) ).
cnf(refute_0_473,plain,
( ld(mult(X_85,X_85),B) != ld(X_85,ld(X_85,B))
| mult(X_41,ld(mult(X_85,X_85),B)) = mult(X_41,ld(X_85,ld(X_85,B))) ),
inference(resolve,[$cnf( $equal(mult(X_41,ld(mult(X_85,X_85),B)),mult(X_41,ld(mult(X_85,X_85),B))) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
mult(X_41,ld(mult(X_85,X_85),B)) = mult(X_41,ld(X_85,ld(X_85,B))),
inference(resolve,[$cnf( $equal(ld(mult(X_85,X_85),B),ld(X_85,ld(X_85,B))) )],[refute_0_470,refute_0_473]) ).
cnf(refute_0_475,plain,
rd(mult(X_41,ld(mult(X_85,X_85),B)),B) = rd(mult(X_41,ld(mult(X_85,X_85),B)),B),
introduced(tautology,[refl,[$fot(rd(mult(X_41,ld(mult(X_85,X_85),B)),B))]]) ).
cnf(refute_0_476,plain,
( mult(X_41,ld(mult(X_85,X_85),B)) != mult(X_41,ld(X_85,ld(X_85,B)))
| rd(mult(X_41,ld(mult(X_85,X_85),B)),B) != rd(mult(X_41,ld(mult(X_85,X_85),B)),B)
| rd(mult(X_41,ld(mult(X_85,X_85),B)),B) = rd(mult(X_41,ld(X_85,ld(X_85,B))),B) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_41,ld(mult(X_85,X_85),B)),B),rd(mult(X_41,ld(mult(X_85,X_85),B)),B)) ),[1,0],$fot(mult(X_41,ld(X_85,ld(X_85,B))))]]) ).
cnf(refute_0_477,plain,
( mult(X_41,ld(mult(X_85,X_85),B)) != mult(X_41,ld(X_85,ld(X_85,B)))
| rd(mult(X_41,ld(mult(X_85,X_85),B)),B) = rd(mult(X_41,ld(X_85,ld(X_85,B))),B) ),
inference(resolve,[$cnf( $equal(rd(mult(X_41,ld(mult(X_85,X_85),B)),B),rd(mult(X_41,ld(mult(X_85,X_85),B)),B)) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
rd(mult(X_41,ld(mult(X_85,X_85),B)),B) = rd(mult(X_41,ld(X_85,ld(X_85,B))),B),
inference(resolve,[$cnf( $equal(mult(X_41,ld(mult(X_85,X_85),B)),mult(X_41,ld(X_85,ld(X_85,B)))) )],[refute_0_474,refute_0_477]) ).
cnf(refute_0_479,plain,
( rd(mult(X_41,ld(mult(X_85,X_85),B)),B) != mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85))
| rd(mult(X_41,ld(mult(X_85,X_85),B)),B) != rd(mult(X_41,ld(X_85,ld(X_85,B))),B)
| rd(mult(X_41,ld(X_85,ld(X_85,B))),B) = mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_41,ld(mult(X_85,X_85),B)),B),mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85))) ),[0],$fot(rd(mult(X_41,ld(X_85,ld(X_85,B))),B))]]) ).
cnf(refute_0_480,plain,
( rd(mult(X_41,ld(mult(X_85,X_85),B)),B) != mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85))
| rd(mult(X_41,ld(X_85,ld(X_85,B))),B) = mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85)) ),
inference(resolve,[$cnf( $equal(rd(mult(X_41,ld(mult(X_85,X_85),B)),B),rd(mult(X_41,ld(X_85,ld(X_85,B))),B)) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
rd(mult(X_41,ld(X_85,ld(X_85,B))),B) = mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85)),
inference(resolve,[$cnf( $equal(rd(mult(X_41,ld(mult(X_85,X_85),B)),B),mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85))) )],[refute_0_469,refute_0_480]) ).
cnf(refute_0_482,plain,
ld(X_85,mult(X_85,X_85)) = X_85,
inference(subst,[],[f02:[bind(A,$fot(X_85)),bind(B,$fot(X_85))]]) ).
cnf(refute_0_483,plain,
ld(X_85,ld(X_85,mult(X_85,X_85))) = ld(X_85,ld(X_85,mult(X_85,X_85))),
introduced(tautology,[refl,[$fot(ld(X_85,ld(X_85,mult(X_85,X_85))))]]) ).
cnf(refute_0_484,plain,
( ld(X_85,ld(X_85,mult(X_85,X_85))) != ld(X_85,ld(X_85,mult(X_85,X_85)))
| ld(X_85,mult(X_85,X_85)) != X_85
| ld(X_85,ld(X_85,mult(X_85,X_85))) = ld(X_85,X_85) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_85,ld(X_85,mult(X_85,X_85))),ld(X_85,ld(X_85,mult(X_85,X_85)))) ),[1,1],$fot(X_85)]]) ).
cnf(refute_0_485,plain,
( ld(X_85,mult(X_85,X_85)) != X_85
| ld(X_85,ld(X_85,mult(X_85,X_85))) = ld(X_85,X_85) ),
inference(resolve,[$cnf( $equal(ld(X_85,ld(X_85,mult(X_85,X_85))),ld(X_85,ld(X_85,mult(X_85,X_85)))) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
ld(X_85,ld(X_85,mult(X_85,X_85))) = ld(X_85,X_85),
inference(resolve,[$cnf( $equal(ld(X_85,mult(X_85,X_85)),X_85) )],[refute_0_482,refute_0_485]) ).
cnf(refute_0_487,plain,
ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))) = ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))),
introduced(tautology,[refl,[$fot(ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))))]]) ).
cnf(refute_0_488,plain,
( ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))) != ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85))))
| ld(X_85,ld(X_85,mult(X_85,X_85))) != ld(X_85,X_85)
| ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))) = ld(X_85,ld(X_85,X_85)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85))))) ),[1,1],$fot(ld(X_85,X_85))]]) ).
cnf(refute_0_489,plain,
( ld(X_85,ld(X_85,mult(X_85,X_85))) != ld(X_85,X_85)
| ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))) = ld(X_85,ld(X_85,X_85)) ),
inference(resolve,[$cnf( $equal(ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85))))) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))) = ld(X_85,ld(X_85,X_85)),
inference(resolve,[$cnf( $equal(ld(X_85,ld(X_85,mult(X_85,X_85))),ld(X_85,X_85)) )],[refute_0_486,refute_0_489]) ).
cnf(refute_0_491,plain,
mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85))))) = mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85))))),
introduced(tautology,[refl,[$fot(mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85))))))]]) ).
cnf(refute_0_492,plain,
( ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))) != ld(X_85,ld(X_85,X_85))
| mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85))))) != mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))))
| mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85))))) = mult(rd(X_41,X_85),ld(X_85,ld(X_85,X_85))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85))))),mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))))) ),[1,1],$fot(ld(X_85,ld(X_85,X_85)))]]) ).
cnf(refute_0_493,plain,
( ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))) != ld(X_85,ld(X_85,X_85))
| mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85))))) = mult(rd(X_41,X_85),ld(X_85,ld(X_85,X_85))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85))))),mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))))) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85))))) = mult(rd(X_41,X_85),ld(X_85,ld(X_85,X_85))),
inference(resolve,[$cnf( $equal(ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))),ld(X_85,ld(X_85,X_85))) )],[refute_0_490,refute_0_493]) ).
cnf(refute_0_495,plain,
mult(rd(X_41,mult(X_85,X_85)),ld(X_85,ld(X_85,mult(X_85,X_85)))) = mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85))))),
inference(subst,[],[refute_0_114:[bind(B,$fot(ld(X_85,ld(X_85,mult(X_85,X_85))))),bind(X_101,$fot(X_41)),bind(X_103,$fot(X_85)),bind(X_26,$fot(X_85))]]) ).
cnf(refute_0_496,plain,
mult(rd(X_41,mult(X_85,mult(X_85,X_85))),ld(X_85,mult(X_85,X_85))) = mult(rd(X_41,mult(X_85,X_85)),ld(X_85,ld(X_85,mult(X_85,X_85)))),
inference(subst,[],[refute_0_114:[bind(B,$fot(ld(X_85,mult(X_85,X_85)))),bind(X_101,$fot(X_41)),bind(X_103,$fot(mult(X_85,X_85))),bind(X_26,$fot(X_85))]]) ).
cnf(refute_0_497,plain,
( mult(rd(X_41,mult(X_85,X_85)),ld(X_85,ld(X_85,mult(X_85,X_85)))) != mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))))
| mult(rd(X_41,mult(X_85,mult(X_85,X_85))),ld(X_85,mult(X_85,X_85))) != mult(rd(X_41,mult(X_85,X_85)),ld(X_85,ld(X_85,mult(X_85,X_85))))
| mult(rd(X_41,mult(X_85,mult(X_85,X_85))),ld(X_85,mult(X_85,X_85))) = mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85))))) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(mult(rd(X_41,mult(X_85,mult(X_85,X_85))),ld(X_85,mult(X_85,X_85))))),bind(Y,$fot(mult(rd(X_41,mult(X_85,X_85)),ld(X_85,ld(X_85,mult(X_85,X_85)))))),bind(Z,$fot(mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))))))]]) ).
cnf(refute_0_498,plain,
( mult(rd(X_41,mult(X_85,X_85)),ld(X_85,ld(X_85,mult(X_85,X_85)))) != mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))))
| mult(rd(X_41,mult(X_85,mult(X_85,X_85))),ld(X_85,mult(X_85,X_85))) = mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85))))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_41,mult(X_85,mult(X_85,X_85))),ld(X_85,mult(X_85,X_85))),mult(rd(X_41,mult(X_85,X_85)),ld(X_85,ld(X_85,mult(X_85,X_85))))) )],[refute_0_496,refute_0_497]) ).
cnf(refute_0_499,plain,
mult(rd(X_41,mult(X_85,mult(X_85,X_85))),ld(X_85,mult(X_85,X_85))) = mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85))))),
inference(resolve,[$cnf( $equal(mult(rd(X_41,mult(X_85,X_85)),ld(X_85,ld(X_85,mult(X_85,X_85)))),mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))))) )],[refute_0_495,refute_0_498]) ).
cnf(refute_0_500,plain,
mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85)) = mult(rd(X_41,mult(X_85,mult(X_85,X_85))),ld(X_85,mult(X_85,X_85))),
inference(subst,[],[refute_0_114:[bind(B,$fot(mult(X_85,X_85))),bind(X_101,$fot(X_41)),bind(X_103,$fot(mult(X_85,mult(X_85,X_85)))),bind(X_26,$fot(X_85))]]) ).
cnf(refute_0_501,plain,
( mult(rd(X_41,mult(X_85,mult(X_85,X_85))),ld(X_85,mult(X_85,X_85))) != mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))))
| mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85)) != mult(rd(X_41,mult(X_85,mult(X_85,X_85))),ld(X_85,mult(X_85,X_85)))
| mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85)) = mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85))))) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85)))),bind(Y,$fot(mult(rd(X_41,mult(X_85,mult(X_85,X_85))),ld(X_85,mult(X_85,X_85))))),bind(Z,$fot(mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))))))]]) ).
cnf(refute_0_502,plain,
( mult(rd(X_41,mult(X_85,mult(X_85,X_85))),ld(X_85,mult(X_85,X_85))) != mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))))
| mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85)) = mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85))))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85)),mult(rd(X_41,mult(X_85,mult(X_85,X_85))),ld(X_85,mult(X_85,X_85)))) )],[refute_0_500,refute_0_501]) ).
cnf(refute_0_503,plain,
mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85)) = mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85))))),
inference(resolve,[$cnf( $equal(mult(rd(X_41,mult(X_85,mult(X_85,X_85))),ld(X_85,mult(X_85,X_85))),mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))))) )],[refute_0_499,refute_0_502]) ).
cnf(refute_0_504,plain,
( mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85))))) != mult(rd(X_41,X_85),ld(X_85,ld(X_85,X_85)))
| mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85)) != mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))))
| mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85)) = mult(rd(X_41,X_85),ld(X_85,ld(X_85,X_85))) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85)))),bind(Y,$fot(mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85))))))),bind(Z,$fot(mult(rd(X_41,X_85),ld(X_85,ld(X_85,X_85)))))]]) ).
cnf(refute_0_505,plain,
( mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85))))) != mult(rd(X_41,X_85),ld(X_85,ld(X_85,X_85)))
| mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85)) = mult(rd(X_41,X_85),ld(X_85,ld(X_85,X_85))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85)),mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85)))))) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85)) = mult(rd(X_41,X_85),ld(X_85,ld(X_85,X_85))),
inference(resolve,[$cnf( $equal(mult(rd(X_41,X_85),ld(X_85,ld(X_85,ld(X_85,mult(X_85,X_85))))),mult(rd(X_41,X_85),ld(X_85,ld(X_85,X_85)))) )],[refute_0_494,refute_0_505]) ).
cnf(refute_0_507,plain,
( mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85)) != mult(rd(X_41,X_85),ld(X_85,ld(X_85,X_85)))
| rd(mult(X_41,ld(X_85,ld(X_85,B))),B) != mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85))
| rd(mult(X_41,ld(X_85,ld(X_85,B))),B) = mult(rd(X_41,X_85),ld(X_85,ld(X_85,X_85))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_41,ld(X_85,ld(X_85,B))),B),mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85))) ),[1],$fot(mult(rd(X_41,X_85),ld(X_85,ld(X_85,X_85))))]]) ).
cnf(refute_0_508,plain,
( rd(mult(X_41,ld(X_85,ld(X_85,B))),B) != mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85))
| rd(mult(X_41,ld(X_85,ld(X_85,B))),B) = mult(rd(X_41,X_85),ld(X_85,ld(X_85,X_85))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85)),mult(rd(X_41,X_85),ld(X_85,ld(X_85,X_85)))) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
rd(mult(X_41,ld(X_85,ld(X_85,B))),B) = mult(rd(X_41,X_85),ld(X_85,ld(X_85,X_85))),
inference(resolve,[$cnf( $equal(rd(mult(X_41,ld(X_85,ld(X_85,B))),B),mult(rd(X_41,mult(X_85,mult(X_85,mult(X_85,X_85)))),mult(X_85,X_85))) )],[refute_0_481,refute_0_508]) ).
cnf(refute_0_510,plain,
rd(mult(X_13,ld(B,ld(B,B))),B) = mult(rd(X_13,B),ld(B,ld(B,B))),
inference(subst,[],[refute_0_509:[bind(X_41,$fot(X_13)),bind(X_85,$fot(B))]]) ).
cnf(refute_0_511,plain,
( B != mult(B,rd(X_105,X_105))
| mult(B,rd(X_105,X_105)) = B ),
inference(subst,[],[refute_0_26:[bind(X,$fot(B)),bind(Y,$fot(mult(B,rd(X_105,X_105))))]]) ).
cnf(refute_0_512,plain,
mult(B,rd(X_105,X_105)) = B,
inference(resolve,[$cnf( $equal(B,mult(B,rd(X_105,X_105))) )],[refute_0_160,refute_0_511]) ).
cnf(refute_0_513,plain,
mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)) = mult(X_13,ld(B,ld(B,B))),
inference(subst,[],[refute_0_512:[bind(B,$fot(mult(X_13,ld(B,ld(B,B))))),bind(X_105,$fot(X_58))]]) ).
cnf(refute_0_514,plain,
rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B) = rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B),
introduced(tautology,[refl,[$fot(rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B))]]) ).
cnf(refute_0_515,plain,
( mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)) != mult(X_13,ld(B,ld(B,B)))
| rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B) != rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B)
| rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B) = rd(mult(X_13,ld(B,ld(B,B))),B) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B),rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B)) ),[1,0],$fot(mult(X_13,ld(B,ld(B,B))))]]) ).
cnf(refute_0_516,plain,
( mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)) != mult(X_13,ld(B,ld(B,B)))
| rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B) = rd(mult(X_13,ld(B,ld(B,B))),B) ),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B),rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B)) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B) = rd(mult(X_13,ld(B,ld(B,B))),B),
inference(resolve,[$cnf( $equal(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),mult(X_13,ld(B,ld(B,B)))) )],[refute_0_513,refute_0_516]) ).
cnf(refute_0_518,plain,
( rd(mult(X_13,ld(B,ld(B,B))),B) != mult(rd(X_13,B),ld(B,ld(B,B)))
| rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B) != rd(mult(X_13,ld(B,ld(B,B))),B)
| rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B) = mult(rd(X_13,B),ld(B,ld(B,B))) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B))),bind(Y,$fot(rd(mult(X_13,ld(B,ld(B,B))),B))),bind(Z,$fot(mult(rd(X_13,B),ld(B,ld(B,B)))))]]) ).
cnf(refute_0_519,plain,
( rd(mult(X_13,ld(B,ld(B,B))),B) != mult(rd(X_13,B),ld(B,ld(B,B)))
| rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B) = mult(rd(X_13,B),ld(B,ld(B,B))) ),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B),rd(mult(X_13,ld(B,ld(B,B))),B)) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B) = mult(rd(X_13,B),ld(B,ld(B,B))),
inference(resolve,[$cnf( $equal(rd(mult(X_13,ld(B,ld(B,B))),B),mult(rd(X_13,B),ld(B,ld(B,B)))) )],[refute_0_510,refute_0_519]) ).
cnf(refute_0_521,plain,
( rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B) != mult(X_13,ld(B,ld(B,ld(B,B))))
| rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B) != mult(rd(X_13,B),ld(B,ld(B,B)))
| mult(rd(X_13,B),ld(B,ld(B,B))) = mult(X_13,ld(B,ld(B,ld(B,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B),mult(X_13,ld(B,ld(B,ld(B,B))))) ),[0],$fot(mult(rd(X_13,B),ld(B,ld(B,B))))]]) ).
cnf(refute_0_522,plain,
( rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B) != mult(X_13,ld(B,ld(B,ld(B,B))))
| mult(rd(X_13,B),ld(B,ld(B,B))) = mult(X_13,ld(B,ld(B,ld(B,B)))) ),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B),mult(rd(X_13,B),ld(B,ld(B,B)))) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
mult(rd(X_13,B),ld(B,ld(B,B))) = mult(X_13,ld(B,ld(B,ld(B,B)))),
inference(resolve,[$cnf( $equal(rd(mult(mult(X_13,ld(B,ld(B,B))),rd(X_58,X_58)),B),mult(X_13,ld(B,ld(B,ld(B,B))))) )],[refute_0_464,refute_0_522]) ).
cnf(refute_0_524,plain,
mult(rd(rd(X_101,X_103),B),ld(B,ld(B,B))) = mult(rd(X_101,X_103),ld(B,ld(B,ld(B,B)))),
inference(subst,[],[refute_0_523:[bind(X_13,$fot(rd(X_101,X_103)))]]) ).
cnf(refute_0_525,plain,
( mult(rd(rd(X_101,X_103),B),ld(B,ld(B,B))) != mult(rd(X_101,X_103),ld(B,ld(B,ld(B,B))))
| rd(X_101,mult(B,mult(B,X_103))) != mult(rd(rd(X_101,X_103),B),ld(B,ld(B,B)))
| rd(X_101,mult(B,mult(B,X_103))) = mult(rd(X_101,X_103),ld(B,ld(B,ld(B,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_101,mult(B,mult(B,X_103))),mult(rd(rd(X_101,X_103),B),ld(B,ld(B,B)))) ),[1],$fot(mult(rd(X_101,X_103),ld(B,ld(B,ld(B,B)))))]]) ).
cnf(refute_0_526,plain,
( rd(X_101,mult(B,mult(B,X_103))) != mult(rd(rd(X_101,X_103),B),ld(B,ld(B,B)))
| rd(X_101,mult(B,mult(B,X_103))) = mult(rd(X_101,X_103),ld(B,ld(B,ld(B,B)))) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_101,X_103),B),ld(B,ld(B,B))),mult(rd(X_101,X_103),ld(B,ld(B,ld(B,B))))) )],[refute_0_524,refute_0_525]) ).
cnf(refute_0_527,plain,
rd(X_101,mult(B,mult(B,X_103))) = mult(rd(X_101,X_103),ld(B,ld(B,ld(B,B)))),
inference(resolve,[$cnf( $equal(rd(X_101,mult(B,mult(B,X_103))),mult(rd(rd(X_101,X_103),B),ld(B,ld(B,B)))) )],[refute_0_381,refute_0_526]) ).
cnf(refute_0_528,plain,
( rd(X_101,mult(B,mult(B,X_103))) != mult(rd(X_101,X_103),ld(B,ld(B,ld(B,B))))
| mult(rd(X_101,X_103),ld(B,ld(B,ld(B,B)))) = rd(X_101,mult(B,mult(B,X_103))) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(rd(X_101,mult(B,mult(B,X_103))))),bind(Y,$fot(mult(rd(X_101,X_103),ld(B,ld(B,ld(B,B))))))]]) ).
cnf(refute_0_529,plain,
mult(rd(X_101,X_103),ld(B,ld(B,ld(B,B)))) = rd(X_101,mult(B,mult(B,X_103))),
inference(resolve,[$cnf( $equal(rd(X_101,mult(B,mult(B,X_103))),mult(rd(X_101,X_103),ld(B,ld(B,ld(B,B))))) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))) = rd(X_41,mult(B,mult(B,B))),
inference(subst,[],[refute_0_529:[bind(X_101,$fot(X_41)),bind(X_103,$fot(B))]]) ).
cnf(refute_0_531,plain,
mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)) = mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)),
introduced(tautology,[refl,[$fot(mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)))]]) ).
cnf(refute_0_532,plain,
( mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)) != mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C))
| mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))) != rd(X_41,mult(B,mult(B,B)))
| mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)) = mult(rd(X_41,mult(B,mult(B,B))),mult(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)),mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C))) ),[1,0],$fot(rd(X_41,mult(B,mult(B,B))))]]) ).
cnf(refute_0_533,plain,
( mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))) != rd(X_41,mult(B,mult(B,B)))
| mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)) = mult(rd(X_41,mult(B,mult(B,B))),mult(B,C)) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)),mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C))) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)) = mult(rd(X_41,mult(B,mult(B,B))),mult(B,C)),
inference(resolve,[$cnf( $equal(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),rd(X_41,mult(B,mult(B,B)))) )],[refute_0_530,refute_0_533]) ).
cnf(refute_0_535,plain,
( mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)) != mult(rd(X_41,mult(B,mult(B,B))),mult(B,C))
| mult(rd(X_41,mult(B,mult(B,B))),mult(B,C)) != mult(rd(X_41,B),ld(B,C))
| mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)) = mult(rd(X_41,B),ld(B,C)) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)))),bind(Y,$fot(mult(rd(X_41,mult(B,mult(B,B))),mult(B,C)))),bind(Z,$fot(mult(rd(X_41,B),ld(B,C))))]]) ).
cnf(refute_0_536,plain,
( mult(rd(X_41,mult(B,mult(B,B))),mult(B,C)) != mult(rd(X_41,B),ld(B,C))
| mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)) = mult(rd(X_41,B),ld(B,C)) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)),mult(rd(X_41,mult(B,mult(B,B))),mult(B,C))) )],[refute_0_534,refute_0_535]) ).
cnf(refute_0_537,plain,
mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)) = mult(rd(X_41,B),ld(B,C)),
inference(resolve,[$cnf( $equal(mult(rd(X_41,mult(B,mult(B,B))),mult(B,C)),mult(rd(X_41,B),ld(B,C))) )],[refute_0_348,refute_0_536]) ).
cnf(refute_0_538,plain,
( mult(X_41,ld(B,ld(B,C))) != mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C))
| mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)) != mult(rd(X_41,B),ld(B,C))
| mult(X_41,ld(B,ld(B,C))) = mult(rd(X_41,B),ld(B,C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_41,ld(B,ld(B,C))),mult(rd(X_41,B),ld(B,C))) ),[0],$fot(mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)))]]) ).
cnf(refute_0_539,plain,
( mult(X_41,ld(B,ld(B,C))) != mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C))
| mult(X_41,ld(B,ld(B,C))) = mult(rd(X_41,B),ld(B,C)) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C)),mult(rd(X_41,B),ld(B,C))) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
mult(X_41,ld(B,ld(B,C))) = mult(rd(X_41,B),ld(B,C)),
inference(resolve,[$cnf( $equal(mult(X_41,ld(B,ld(B,C))),mult(mult(rd(X_41,B),ld(B,ld(B,ld(B,B)))),mult(B,C))) )],[refute_0_331,refute_0_539]) ).
cnf(refute_0_541,plain,
( mult(X_41,ld(B,ld(B,C))) != mult(rd(X_41,B),ld(B,C))
| mult(rd(X_41,B),ld(B,C)) = mult(X_41,ld(B,ld(B,C))) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(mult(X_41,ld(B,ld(B,C))))),bind(Y,$fot(mult(rd(X_41,B),ld(B,C))))]]) ).
cnf(refute_0_542,plain,
mult(rd(X_41,B),ld(B,C)) = mult(X_41,ld(B,ld(B,C))),
inference(resolve,[$cnf( $equal(mult(X_41,ld(B,ld(B,C))),mult(rd(X_41,B),ld(B,C))) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
mult(rd(X_37,X_38),ld(X_38,X_38)) = mult(X_37,ld(X_38,ld(X_38,X_38))),
inference(subst,[],[refute_0_542:[bind(B,$fot(X_38)),bind(C,$fot(X_38)),bind(X_41,$fot(X_37))]]) ).
cnf(refute_0_544,plain,
ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B) = ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B),
introduced(tautology,[refl,[$fot(ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B))]]) ).
cnf(refute_0_545,plain,
( ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B) != ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B)
| mult(rd(X_37,X_38),ld(X_38,X_38)) != mult(X_37,ld(X_38,ld(X_38,X_38)))
| ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B) = ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B),ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B)) ),[1,0],$fot(mult(X_37,ld(X_38,ld(X_38,X_38))))]]) ).
cnf(refute_0_546,plain,
( mult(rd(X_37,X_38),ld(X_38,X_38)) != mult(X_37,ld(X_38,ld(X_38,X_38)))
| ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B) = ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B) ),
inference(resolve,[$cnf( $equal(ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B),ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B)) )],[refute_0_544,refute_0_545]) ).
cnf(refute_0_547,plain,
ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B) = ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B),
inference(resolve,[$cnf( $equal(mult(rd(X_37,X_38),ld(X_38,X_38)),mult(X_37,ld(X_38,ld(X_38,X_38)))) )],[refute_0_543,refute_0_546]) ).
cnf(refute_0_548,plain,
( ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B) != ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B)
| ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B) != mult(X_38,ld(X_37,B))
| ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B) = mult(X_38,ld(X_37,B)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B),mult(X_38,ld(X_37,B))) ),[0],$fot(ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B))]]) ).
cnf(refute_0_549,plain,
( ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B) != mult(X_38,ld(X_37,B))
| ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B) = mult(X_38,ld(X_37,B)) ),
inference(resolve,[$cnf( $equal(ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B),ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B)) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B) = mult(X_38,ld(X_37,B)),
inference(resolve,[$cnf( $equal(ld(mult(rd(X_37,X_38),ld(X_38,X_38)),B),mult(X_38,ld(X_37,B))) )],[refute_0_190,refute_0_549]) ).
cnf(refute_0_551,plain,
rd(mult(mult(rd(A,X_21),X_21),mult(X_21,X_19)),X_19) = mult(rd(A,X_21),mult(X_21,X_21)),
inference(subst,[],[refute_0_5:[bind(B,$fot(X_19)),bind(X_13,$fot(rd(A,X_21))),bind(X_14,$fot(X_21))]]) ).
cnf(refute_0_552,plain,
mult(rd(A,X_21),X_21) = A,
inference(subst,[],[f03:[bind(B,$fot(X_21))]]) ).
cnf(refute_0_553,plain,
( mult(rd(A,X_21),X_21) != A
| rd(mult(mult(rd(A,X_21),X_21),mult(X_21,X_19)),X_19) != mult(rd(A,X_21),mult(X_21,X_21))
| rd(mult(A,mult(X_21,X_19)),X_19) = mult(rd(A,X_21),mult(X_21,X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(rd(A,X_21),X_21),mult(X_21,X_19)),X_19),mult(rd(A,X_21),mult(X_21,X_21))) ),[0,0,0],$fot(A)]]) ).
cnf(refute_0_554,plain,
( rd(mult(mult(rd(A,X_21),X_21),mult(X_21,X_19)),X_19) != mult(rd(A,X_21),mult(X_21,X_21))
| rd(mult(A,mult(X_21,X_19)),X_19) = mult(rd(A,X_21),mult(X_21,X_21)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_21),X_21),A) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
rd(mult(A,mult(X_21,X_19)),X_19) = mult(rd(A,X_21),mult(X_21,X_21)),
inference(resolve,[$cnf( $equal(rd(mult(mult(rd(A,X_21),X_21),mult(X_21,X_19)),X_19),mult(rd(A,X_21),mult(X_21,X_21))) )],[refute_0_551,refute_0_554]) ).
cnf(refute_0_556,plain,
rd(mult(A,mult(rd(X_19,mult(X_19,X_19)),X_19)),X_19) = mult(rd(A,rd(X_19,mult(X_19,X_19))),mult(rd(X_19,mult(X_19,X_19)),rd(X_19,mult(X_19,X_19)))),
inference(subst,[],[refute_0_555:[bind(X_21,$fot(rd(X_19,mult(X_19,X_19))))]]) ).
cnf(refute_0_557,plain,
rd(X_58,X_58) = mult(rd(X_19,mult(X_19,X_19)),X_19),
inference(subst,[],[refute_0_54:[bind(X_55,$fot(X_58)),bind(X_57,$fot(X_19))]]) ).
cnf(refute_0_558,plain,
( rd(X_58,X_58) != mult(rd(X_19,mult(X_19,X_19)),X_19)
| mult(rd(X_19,mult(X_19,X_19)),X_19) = rd(X_58,X_58) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(rd(X_58,X_58))),bind(Y,$fot(mult(rd(X_19,mult(X_19,X_19)),X_19)))]]) ).
cnf(refute_0_559,plain,
mult(rd(X_19,mult(X_19,X_19)),X_19) = rd(X_58,X_58),
inference(resolve,[$cnf( $equal(rd(X_58,X_58),mult(rd(X_19,mult(X_19,X_19)),X_19)) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
( mult(rd(X_19,mult(X_19,X_19)),X_19) != rd(X_58,X_58)
| rd(mult(A,mult(rd(X_19,mult(X_19,X_19)),X_19)),X_19) != mult(rd(A,rd(X_19,mult(X_19,X_19))),mult(rd(X_19,mult(X_19,X_19)),rd(X_19,mult(X_19,X_19))))
| rd(mult(A,rd(X_58,X_58)),X_19) = mult(rd(A,rd(X_19,mult(X_19,X_19))),mult(rd(X_19,mult(X_19,X_19)),rd(X_19,mult(X_19,X_19)))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(A,mult(rd(X_19,mult(X_19,X_19)),X_19)),X_19),mult(rd(A,rd(X_19,mult(X_19,X_19))),mult(rd(X_19,mult(X_19,X_19)),rd(X_19,mult(X_19,X_19))))) ),[0,0,1],$fot(rd(X_58,X_58))]]) ).
cnf(refute_0_561,plain,
( rd(mult(A,mult(rd(X_19,mult(X_19,X_19)),X_19)),X_19) != mult(rd(A,rd(X_19,mult(X_19,X_19))),mult(rd(X_19,mult(X_19,X_19)),rd(X_19,mult(X_19,X_19))))
| rd(mult(A,rd(X_58,X_58)),X_19) = mult(rd(A,rd(X_19,mult(X_19,X_19))),mult(rd(X_19,mult(X_19,X_19)),rd(X_19,mult(X_19,X_19)))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_19,mult(X_19,X_19)),X_19),rd(X_58,X_58)) )],[refute_0_559,refute_0_560]) ).
cnf(refute_0_562,plain,
rd(mult(A,rd(X_58,X_58)),X_19) = mult(rd(A,rd(X_19,mult(X_19,X_19))),mult(rd(X_19,mult(X_19,X_19)),rd(X_19,mult(X_19,X_19)))),
inference(resolve,[$cnf( $equal(rd(mult(A,mult(rd(X_19,mult(X_19,X_19)),X_19)),X_19),mult(rd(A,rd(X_19,mult(X_19,X_19))),mult(rd(X_19,mult(X_19,X_19)),rd(X_19,mult(X_19,X_19))))) )],[refute_0_556,refute_0_561]) ).
cnf(refute_0_563,plain,
rd(mult(X_8,ld(X_8,B)),ld(X_8,B)) = X_8,
inference(subst,[],[f04:[bind(A,$fot(X_8)),bind(B,$fot(ld(X_8,B)))]]) ).
cnf(refute_0_564,plain,
mult(X_8,ld(X_8,B)) = B,
inference(subst,[],[f01:[bind(A,$fot(X_8))]]) ).
cnf(refute_0_565,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_566,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( $equal(mult(X_8,ld(X_8,B)),B) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
rd(B,ld(X_8,B)) = X_8,
inference(resolve,[$cnf( $equal(rd(mult(X_8,ld(X_8,B)),ld(X_8,B)),X_8) )],[refute_0_563,refute_0_566]) ).
cnf(refute_0_568,plain,
rd(mult(X_37,X_39),ld(mult(rd(X_37,mult(X_38,X_38)),X_38),mult(X_37,X_39))) = mult(rd(X_37,mult(X_38,X_38)),X_38),
inference(subst,[],[refute_0_567:[bind(B,$fot(mult(X_37,X_39))),bind(X_8,$fot(mult(rd(X_37,mult(X_38,X_38)),X_38)))]]) ).
cnf(refute_0_569,plain,
ld(mult(rd(X_37,mult(X_38,X_38)),X_38),mult(X_37,X_39)) = mult(X_38,X_39),
inference(subst,[],[refute_0_177:[bind(X_25,$fot(X_37)),bind(X_26,$fot(X_38)),bind(X_27,$fot(X_39))]]) ).
cnf(refute_0_570,plain,
( ld(mult(rd(X_37,mult(X_38,X_38)),X_38),mult(X_37,X_39)) != mult(X_38,X_39)
| rd(mult(X_37,X_39),ld(mult(rd(X_37,mult(X_38,X_38)),X_38),mult(X_37,X_39))) != mult(rd(X_37,mult(X_38,X_38)),X_38)
| rd(mult(X_37,X_39),mult(X_38,X_39)) = mult(rd(X_37,mult(X_38,X_38)),X_38) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_37,X_39),ld(mult(rd(X_37,mult(X_38,X_38)),X_38),mult(X_37,X_39))),mult(rd(X_37,mult(X_38,X_38)),X_38)) ),[0,1],$fot(mult(X_38,X_39))]]) ).
cnf(refute_0_571,plain,
( rd(mult(X_37,X_39),ld(mult(rd(X_37,mult(X_38,X_38)),X_38),mult(X_37,X_39))) != mult(rd(X_37,mult(X_38,X_38)),X_38)
| rd(mult(X_37,X_39),mult(X_38,X_39)) = mult(rd(X_37,mult(X_38,X_38)),X_38) ),
inference(resolve,[$cnf( $equal(ld(mult(rd(X_37,mult(X_38,X_38)),X_38),mult(X_37,X_39)),mult(X_38,X_39)) )],[refute_0_569,refute_0_570]) ).
cnf(refute_0_572,plain,
rd(mult(X_37,X_39),mult(X_38,X_39)) = mult(rd(X_37,mult(X_38,X_38)),X_38),
inference(resolve,[$cnf( $equal(rd(mult(X_37,X_39),ld(mult(rd(X_37,mult(X_38,X_38)),X_38),mult(X_37,X_39))),mult(rd(X_37,mult(X_38,X_38)),X_38)) )],[refute_0_568,refute_0_571]) ).
cnf(refute_0_573,plain,
rd(mult(A,X_19),mult(X_19,X_19)) = mult(rd(A,mult(X_19,X_19)),X_19),
inference(subst,[],[refute_0_572:[bind(X_37,$fot(A)),bind(X_38,$fot(X_19)),bind(X_39,$fot(X_19))]]) ).
cnf(refute_0_574,plain,
rd(mult(X_31,mult(rd(A,X_32),X_32)),X_32) = mult(rd(X_31,rd(A,X_32)),mult(rd(A,X_32),rd(A,X_32))),
inference(subst,[],[refute_0_555:[bind(A,$fot(X_31)),bind(X_19,$fot(X_32)),bind(X_21,$fot(rd(A,X_32)))]]) ).
cnf(refute_0_575,plain,
mult(rd(A,X_32),X_32) = A,
inference(subst,[],[f03:[bind(B,$fot(X_32))]]) ).
cnf(refute_0_576,plain,
( mult(rd(A,X_32),X_32) != A
| rd(mult(X_31,mult(rd(A,X_32),X_32)),X_32) != mult(rd(X_31,rd(A,X_32)),mult(rd(A,X_32),rd(A,X_32)))
| rd(mult(X_31,A),X_32) = mult(rd(X_31,rd(A,X_32)),mult(rd(A,X_32),rd(A,X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_31,mult(rd(A,X_32),X_32)),X_32),mult(rd(X_31,rd(A,X_32)),mult(rd(A,X_32),rd(A,X_32)))) ),[0,0,1],$fot(A)]]) ).
cnf(refute_0_577,plain,
( rd(mult(X_31,mult(rd(A,X_32),X_32)),X_32) != mult(rd(X_31,rd(A,X_32)),mult(rd(A,X_32),rd(A,X_32)))
| rd(mult(X_31,A),X_32) = mult(rd(X_31,rd(A,X_32)),mult(rd(A,X_32),rd(A,X_32))) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_32),X_32),A) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
rd(mult(X_31,A),X_32) = mult(rd(X_31,rd(A,X_32)),mult(rd(A,X_32),rd(A,X_32))),
inference(resolve,[$cnf( $equal(rd(mult(X_31,mult(rd(A,X_32),X_32)),X_32),mult(rd(X_31,rd(A,X_32)),mult(rd(A,X_32),rd(A,X_32)))) )],[refute_0_574,refute_0_577]) ).
cnf(refute_0_579,plain,
( rd(mult(X_31,A),X_32) != mult(rd(X_31,rd(A,X_32)),mult(rd(A,X_32),rd(A,X_32)))
| mult(rd(X_31,rd(A,X_32)),mult(rd(A,X_32),rd(A,X_32))) = rd(mult(X_31,A),X_32) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(rd(mult(X_31,A),X_32))),bind(Y,$fot(mult(rd(X_31,rd(A,X_32)),mult(rd(A,X_32),rd(A,X_32)))))]]) ).
cnf(refute_0_580,plain,
mult(rd(X_31,rd(A,X_32)),mult(rd(A,X_32),rd(A,X_32))) = rd(mult(X_31,A),X_32),
inference(resolve,[$cnf( $equal(rd(mult(X_31,A),X_32),mult(rd(X_31,rd(A,X_32)),mult(rd(A,X_32),rd(A,X_32)))) )],[refute_0_578,refute_0_579]) ).
cnf(refute_0_581,plain,
mult(rd(A,rd(X_19,mult(X_19,X_19))),mult(rd(X_19,mult(X_19,X_19)),rd(X_19,mult(X_19,X_19)))) = rd(mult(A,X_19),mult(X_19,X_19)),
inference(subst,[],[refute_0_580:[bind(A,$fot(X_19)),bind(X_31,$fot(A)),bind(X_32,$fot(mult(X_19,X_19)))]]) ).
cnf(refute_0_582,plain,
( mult(rd(A,rd(X_19,mult(X_19,X_19))),mult(rd(X_19,mult(X_19,X_19)),rd(X_19,mult(X_19,X_19)))) != rd(mult(A,X_19),mult(X_19,X_19))
| rd(mult(A,X_19),mult(X_19,X_19)) != mult(rd(A,mult(X_19,X_19)),X_19)
| mult(rd(A,rd(X_19,mult(X_19,X_19))),mult(rd(X_19,mult(X_19,X_19)),rd(X_19,mult(X_19,X_19)))) = mult(rd(A,mult(X_19,X_19)),X_19) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(mult(rd(A,rd(X_19,mult(X_19,X_19))),mult(rd(X_19,mult(X_19,X_19)),rd(X_19,mult(X_19,X_19)))))),bind(Y,$fot(rd(mult(A,X_19),mult(X_19,X_19)))),bind(Z,$fot(mult(rd(A,mult(X_19,X_19)),X_19)))]]) ).
cnf(refute_0_583,plain,
( rd(mult(A,X_19),mult(X_19,X_19)) != mult(rd(A,mult(X_19,X_19)),X_19)
| mult(rd(A,rd(X_19,mult(X_19,X_19))),mult(rd(X_19,mult(X_19,X_19)),rd(X_19,mult(X_19,X_19)))) = mult(rd(A,mult(X_19,X_19)),X_19) ),
inference(resolve,[$cnf( $equal(mult(rd(A,rd(X_19,mult(X_19,X_19))),mult(rd(X_19,mult(X_19,X_19)),rd(X_19,mult(X_19,X_19)))),rd(mult(A,X_19),mult(X_19,X_19))) )],[refute_0_581,refute_0_582]) ).
cnf(refute_0_584,plain,
mult(rd(A,rd(X_19,mult(X_19,X_19))),mult(rd(X_19,mult(X_19,X_19)),rd(X_19,mult(X_19,X_19)))) = mult(rd(A,mult(X_19,X_19)),X_19),
inference(resolve,[$cnf( $equal(rd(mult(A,X_19),mult(X_19,X_19)),mult(rd(A,mult(X_19,X_19)),X_19)) )],[refute_0_573,refute_0_583]) ).
cnf(refute_0_585,plain,
( mult(rd(A,rd(X_19,mult(X_19,X_19))),mult(rd(X_19,mult(X_19,X_19)),rd(X_19,mult(X_19,X_19)))) != mult(rd(A,mult(X_19,X_19)),X_19)
| rd(mult(A,rd(X_58,X_58)),X_19) != mult(rd(A,rd(X_19,mult(X_19,X_19))),mult(rd(X_19,mult(X_19,X_19)),rd(X_19,mult(X_19,X_19))))
| rd(mult(A,rd(X_58,X_58)),X_19) = mult(rd(A,mult(X_19,X_19)),X_19) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(A,rd(X_58,X_58)),X_19),mult(rd(A,rd(X_19,mult(X_19,X_19))),mult(rd(X_19,mult(X_19,X_19)),rd(X_19,mult(X_19,X_19))))) ),[1],$fot(mult(rd(A,mult(X_19,X_19)),X_19))]]) ).
cnf(refute_0_586,plain,
( rd(mult(A,rd(X_58,X_58)),X_19) != mult(rd(A,rd(X_19,mult(X_19,X_19))),mult(rd(X_19,mult(X_19,X_19)),rd(X_19,mult(X_19,X_19))))
| rd(mult(A,rd(X_58,X_58)),X_19) = mult(rd(A,mult(X_19,X_19)),X_19) ),
inference(resolve,[$cnf( $equal(mult(rd(A,rd(X_19,mult(X_19,X_19))),mult(rd(X_19,mult(X_19,X_19)),rd(X_19,mult(X_19,X_19)))),mult(rd(A,mult(X_19,X_19)),X_19)) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
rd(mult(A,rd(X_58,X_58)),X_19) = mult(rd(A,mult(X_19,X_19)),X_19),
inference(resolve,[$cnf( $equal(rd(mult(A,rd(X_58,X_58)),X_19),mult(rd(A,rd(X_19,mult(X_19,X_19))),mult(rd(X_19,mult(X_19,X_19)),rd(X_19,mult(X_19,X_19))))) )],[refute_0_562,refute_0_586]) ).
cnf(refute_0_588,plain,
mult(rd(A,mult(X_19,X_19)),X_19) = mult(rd(A,X_19),ld(X_19,X_19)),
inference(subst,[],[refute_0_114:[bind(B,$fot(X_19)),bind(X_101,$fot(A)),bind(X_103,$fot(X_19)),bind(X_26,$fot(X_19))]]) ).
cnf(refute_0_589,plain,
( mult(rd(A,mult(X_19,X_19)),X_19) != mult(rd(A,X_19),ld(X_19,X_19))
| rd(mult(A,rd(X_58,X_58)),X_19) != mult(rd(A,mult(X_19,X_19)),X_19)
| rd(mult(A,rd(X_58,X_58)),X_19) = mult(rd(A,X_19),ld(X_19,X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(A,rd(X_58,X_58)),X_19),mult(rd(A,mult(X_19,X_19)),X_19)) ),[1],$fot(mult(rd(A,X_19),ld(X_19,X_19)))]]) ).
cnf(refute_0_590,plain,
( rd(mult(A,rd(X_58,X_58)),X_19) != mult(rd(A,mult(X_19,X_19)),X_19)
| rd(mult(A,rd(X_58,X_58)),X_19) = mult(rd(A,X_19),ld(X_19,X_19)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,mult(X_19,X_19)),X_19),mult(rd(A,X_19),ld(X_19,X_19))) )],[refute_0_588,refute_0_589]) ).
cnf(refute_0_591,plain,
rd(mult(A,rd(X_58,X_58)),X_19) = mult(rd(A,X_19),ld(X_19,X_19)),
inference(resolve,[$cnf( $equal(rd(mult(A,rd(X_58,X_58)),X_19),mult(rd(A,mult(X_19,X_19)),X_19)) )],[refute_0_587,refute_0_590]) ).
cnf(refute_0_592,plain,
mult(A,rd(X_58,X_58)) = A,
inference(subst,[],[refute_0_512:[bind(B,$fot(A)),bind(X_105,$fot(X_58))]]) ).
cnf(refute_0_593,plain,
rd(mult(A,rd(X_58,X_58)),X_19) = rd(mult(A,rd(X_58,X_58)),X_19),
introduced(tautology,[refl,[$fot(rd(mult(A,rd(X_58,X_58)),X_19))]]) ).
cnf(refute_0_594,plain,
( mult(A,rd(X_58,X_58)) != A
| rd(mult(A,rd(X_58,X_58)),X_19) != rd(mult(A,rd(X_58,X_58)),X_19)
| rd(mult(A,rd(X_58,X_58)),X_19) = rd(A,X_19) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(A,rd(X_58,X_58)),X_19),rd(mult(A,rd(X_58,X_58)),X_19)) ),[1,0],$fot(A)]]) ).
cnf(refute_0_595,plain,
( mult(A,rd(X_58,X_58)) != A
| rd(mult(A,rd(X_58,X_58)),X_19) = rd(A,X_19) ),
inference(resolve,[$cnf( $equal(rd(mult(A,rd(X_58,X_58)),X_19),rd(mult(A,rd(X_58,X_58)),X_19)) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
rd(mult(A,rd(X_58,X_58)),X_19) = rd(A,X_19),
inference(resolve,[$cnf( $equal(mult(A,rd(X_58,X_58)),A) )],[refute_0_592,refute_0_595]) ).
cnf(refute_0_597,plain,
( rd(mult(A,rd(X_58,X_58)),X_19) != mult(rd(A,X_19),ld(X_19,X_19))
| rd(mult(A,rd(X_58,X_58)),X_19) != rd(A,X_19)
| rd(A,X_19) = mult(rd(A,X_19),ld(X_19,X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(A,rd(X_58,X_58)),X_19),mult(rd(A,X_19),ld(X_19,X_19))) ),[0],$fot(rd(A,X_19))]]) ).
cnf(refute_0_598,plain,
( rd(mult(A,rd(X_58,X_58)),X_19) != mult(rd(A,X_19),ld(X_19,X_19))
| rd(A,X_19) = mult(rd(A,X_19),ld(X_19,X_19)) ),
inference(resolve,[$cnf( $equal(rd(mult(A,rd(X_58,X_58)),X_19),rd(A,X_19)) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
mult(rd(A,X_19),ld(X_19,X_19)) = mult(A,ld(X_19,ld(X_19,X_19))),
inference(subst,[],[refute_0_542:[bind(B,$fot(X_19)),bind(C,$fot(X_19)),bind(X_41,$fot(A))]]) ).
cnf(refute_0_600,plain,
( mult(rd(A,X_19),ld(X_19,X_19)) != mult(A,ld(X_19,ld(X_19,X_19)))
| rd(A,X_19) != mult(rd(A,X_19),ld(X_19,X_19))
| rd(A,X_19) = mult(A,ld(X_19,ld(X_19,X_19))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(A,X_19),mult(rd(A,X_19),ld(X_19,X_19))) ),[1],$fot(mult(A,ld(X_19,ld(X_19,X_19))))]]) ).
cnf(refute_0_601,plain,
( rd(A,X_19) != mult(rd(A,X_19),ld(X_19,X_19))
| rd(A,X_19) = mult(A,ld(X_19,ld(X_19,X_19))) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_19),ld(X_19,X_19)),mult(A,ld(X_19,ld(X_19,X_19)))) )],[refute_0_599,refute_0_600]) ).
cnf(refute_0_602,plain,
( rd(mult(A,rd(X_58,X_58)),X_19) != mult(rd(A,X_19),ld(X_19,X_19))
| rd(A,X_19) = mult(A,ld(X_19,ld(X_19,X_19))) ),
inference(resolve,[$cnf( $equal(rd(A,X_19),mult(rd(A,X_19),ld(X_19,X_19))) )],[refute_0_598,refute_0_601]) ).
cnf(refute_0_603,plain,
rd(A,X_19) = mult(A,ld(X_19,ld(X_19,X_19))),
inference(resolve,[$cnf( $equal(rd(mult(A,rd(X_58,X_58)),X_19),mult(rd(A,X_19),ld(X_19,X_19))) )],[refute_0_591,refute_0_602]) ).
cnf(refute_0_604,plain,
( rd(A,X_19) != mult(A,ld(X_19,ld(X_19,X_19)))
| mult(A,ld(X_19,ld(X_19,X_19))) = rd(A,X_19) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(rd(A,X_19))),bind(Y,$fot(mult(A,ld(X_19,ld(X_19,X_19)))))]]) ).
cnf(refute_0_605,plain,
mult(A,ld(X_19,ld(X_19,X_19))) = rd(A,X_19),
inference(resolve,[$cnf( $equal(rd(A,X_19),mult(A,ld(X_19,ld(X_19,X_19)))) )],[refute_0_603,refute_0_604]) ).
cnf(refute_0_606,plain,
mult(X_37,ld(X_38,ld(X_38,X_38))) = rd(X_37,X_38),
inference(subst,[],[refute_0_605:[bind(A,$fot(X_37)),bind(X_19,$fot(X_38))]]) ).
cnf(refute_0_607,plain,
ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B) = ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B),
introduced(tautology,[refl,[$fot(ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B))]]) ).
cnf(refute_0_608,plain,
( ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B) != ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B)
| mult(X_37,ld(X_38,ld(X_38,X_38))) != rd(X_37,X_38)
| ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B) = ld(rd(X_37,X_38),B) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B),ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B)) ),[1,0],$fot(rd(X_37,X_38))]]) ).
cnf(refute_0_609,plain,
( mult(X_37,ld(X_38,ld(X_38,X_38))) != rd(X_37,X_38)
| ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B) = ld(rd(X_37,X_38),B) ),
inference(resolve,[$cnf( $equal(ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B),ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B)) )],[refute_0_607,refute_0_608]) ).
cnf(refute_0_610,plain,
ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B) = ld(rd(X_37,X_38),B),
inference(resolve,[$cnf( $equal(mult(X_37,ld(X_38,ld(X_38,X_38))),rd(X_37,X_38)) )],[refute_0_606,refute_0_609]) ).
cnf(refute_0_611,plain,
( ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B) != ld(rd(X_37,X_38),B)
| ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B) != mult(X_38,ld(X_37,B))
| ld(rd(X_37,X_38),B) = mult(X_38,ld(X_37,B)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B),mult(X_38,ld(X_37,B))) ),[0],$fot(ld(rd(X_37,X_38),B))]]) ).
cnf(refute_0_612,plain,
( ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B) != mult(X_38,ld(X_37,B))
| ld(rd(X_37,X_38),B) = mult(X_38,ld(X_37,B)) ),
inference(resolve,[$cnf( $equal(ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B),ld(rd(X_37,X_38),B)) )],[refute_0_610,refute_0_611]) ).
cnf(refute_0_613,plain,
ld(rd(X_37,X_38),B) = mult(X_38,ld(X_37,B)),
inference(resolve,[$cnf( $equal(ld(mult(X_37,ld(X_38,ld(X_38,X_38))),B),mult(X_38,ld(X_37,B))) )],[refute_0_550,refute_0_612]) ).
cnf(refute_0_614,plain,
( ld(rd(X_37,X_38),B) != mult(X_38,ld(X_37,B))
| mult(X_38,ld(X_37,B)) = ld(rd(X_37,X_38),B) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(ld(rd(X_37,X_38),B))),bind(Y,$fot(mult(X_38,ld(X_37,B))))]]) ).
cnf(refute_0_615,plain,
mult(X_38,ld(X_37,B)) = ld(rd(X_37,X_38),B),
inference(resolve,[$cnf( $equal(ld(rd(X_37,X_38),B),mult(X_38,ld(X_37,B))) )],[refute_0_613,refute_0_614]) ).
cnf(refute_0_616,plain,
mult(X_25,ld(X_26,B)) = ld(rd(X_26,X_25),B),
inference(subst,[],[refute_0_615:[bind(X_37,$fot(X_26)),bind(X_38,$fot(X_25))]]) ).
cnf(refute_0_617,plain,
( mult(X_25,ld(X_26,B)) != ld(rd(X_26,X_25),B)
| mult(X_25,ld(X_26,B)) != mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B)
| ld(rd(X_26,X_25),B) = mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_25,ld(X_26,B)),mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B)) ),[0],$fot(ld(rd(X_26,X_25),B))]]) ).
cnf(refute_0_618,plain,
( mult(X_25,ld(X_26,B)) != mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B)
| ld(rd(X_26,X_25),B) = mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B) ),
inference(resolve,[$cnf( $equal(mult(X_25,ld(X_26,B)),ld(rd(X_26,X_25),B)) )],[refute_0_616,refute_0_617]) ).
cnf(refute_0_619,plain,
rd(X_55,ld(X_26,X_55)) = X_26,
inference(subst,[],[refute_0_567:[bind(B,$fot(X_55)),bind(X_8,$fot(X_26))]]) ).
cnf(refute_0_620,plain,
rd(X_25,rd(X_55,ld(X_26,X_55))) = rd(X_25,rd(X_55,ld(X_26,X_55))),
introduced(tautology,[refl,[$fot(rd(X_25,rd(X_55,ld(X_26,X_55))))]]) ).
cnf(refute_0_621,plain,
( rd(X_25,rd(X_55,ld(X_26,X_55))) != rd(X_25,rd(X_55,ld(X_26,X_55)))
| rd(X_55,ld(X_26,X_55)) != X_26
| rd(X_25,rd(X_55,ld(X_26,X_55))) = rd(X_25,X_26) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_25,rd(X_55,ld(X_26,X_55))),rd(X_25,rd(X_55,ld(X_26,X_55)))) ),[1,1],$fot(X_26)]]) ).
cnf(refute_0_622,plain,
( rd(X_55,ld(X_26,X_55)) != X_26
| rd(X_25,rd(X_55,ld(X_26,X_55))) = rd(X_25,X_26) ),
inference(resolve,[$cnf( $equal(rd(X_25,rd(X_55,ld(X_26,X_55))),rd(X_25,rd(X_55,ld(X_26,X_55)))) )],[refute_0_620,refute_0_621]) ).
cnf(refute_0_623,plain,
rd(X_25,rd(X_55,ld(X_26,X_55))) = rd(X_25,X_26),
inference(resolve,[$cnf( $equal(rd(X_55,ld(X_26,X_55)),X_26) )],[refute_0_619,refute_0_622]) ).
cnf(refute_0_624,plain,
rd(mult(X_52,X_54),mult(rd(A,X_54),X_54)) = mult(rd(X_52,mult(rd(A,X_54),rd(A,X_54))),rd(A,X_54)),
inference(subst,[],[refute_0_31:[bind(X_25,$fot(X_52)),bind(X_26,$fot(rd(A,X_54))),bind(X_27,$fot(X_54))]]) ).
cnf(refute_0_625,plain,
( mult(rd(A,X_54),X_54) != A
| rd(mult(X_52,X_54),mult(rd(A,X_54),X_54)) != mult(rd(X_52,mult(rd(A,X_54),rd(A,X_54))),rd(A,X_54))
| rd(mult(X_52,X_54),A) = mult(rd(X_52,mult(rd(A,X_54),rd(A,X_54))),rd(A,X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_52,X_54),mult(rd(A,X_54),X_54)),mult(rd(X_52,mult(rd(A,X_54),rd(A,X_54))),rd(A,X_54))) ),[0,1],$fot(A)]]) ).
cnf(refute_0_626,plain,
( rd(mult(X_52,X_54),mult(rd(A,X_54),X_54)) != mult(rd(X_52,mult(rd(A,X_54),rd(A,X_54))),rd(A,X_54))
| rd(mult(X_52,X_54),A) = mult(rd(X_52,mult(rd(A,X_54),rd(A,X_54))),rd(A,X_54)) ),
inference(resolve,[$cnf( $equal(mult(rd(A,X_54),X_54),A) )],[refute_0_33,refute_0_625]) ).
cnf(refute_0_627,plain,
rd(mult(X_52,X_54),A) = mult(rd(X_52,mult(rd(A,X_54),rd(A,X_54))),rd(A,X_54)),
inference(resolve,[$cnf( $equal(rd(mult(X_52,X_54),mult(rd(A,X_54),X_54)),mult(rd(X_52,mult(rd(A,X_54),rd(A,X_54))),rd(A,X_54))) )],[refute_0_624,refute_0_626]) ).
cnf(refute_0_628,plain,
mult(rd(X_52,mult(rd(A,X_54),rd(A,X_54))),rd(A,X_54)) = mult(rd(X_52,rd(A,X_54)),ld(rd(A,X_54),rd(A,X_54))),
inference(subst,[],[refute_0_114:[bind(B,$fot(rd(A,X_54))),bind(X_101,$fot(X_52)),bind(X_103,$fot(rd(A,X_54))),bind(X_26,$fot(rd(A,X_54)))]]) ).
cnf(refute_0_629,plain,
( mult(rd(X_52,mult(rd(A,X_54),rd(A,X_54))),rd(A,X_54)) != mult(rd(X_52,rd(A,X_54)),ld(rd(A,X_54),rd(A,X_54)))
| rd(mult(X_52,X_54),A) != mult(rd(X_52,mult(rd(A,X_54),rd(A,X_54))),rd(A,X_54))
| rd(mult(X_52,X_54),A) = mult(rd(X_52,rd(A,X_54)),ld(rd(A,X_54),rd(A,X_54))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_52,X_54),A),mult(rd(X_52,mult(rd(A,X_54),rd(A,X_54))),rd(A,X_54))) ),[1],$fot(mult(rd(X_52,rd(A,X_54)),ld(rd(A,X_54),rd(A,X_54))))]]) ).
cnf(refute_0_630,plain,
( rd(mult(X_52,X_54),A) != mult(rd(X_52,mult(rd(A,X_54),rd(A,X_54))),rd(A,X_54))
| rd(mult(X_52,X_54),A) = mult(rd(X_52,rd(A,X_54)),ld(rd(A,X_54),rd(A,X_54))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_52,mult(rd(A,X_54),rd(A,X_54))),rd(A,X_54)),mult(rd(X_52,rd(A,X_54)),ld(rd(A,X_54),rd(A,X_54)))) )],[refute_0_628,refute_0_629]) ).
cnf(refute_0_631,plain,
rd(mult(X_52,X_54),A) = mult(rd(X_52,rd(A,X_54)),ld(rd(A,X_54),rd(A,X_54))),
inference(resolve,[$cnf( $equal(rd(mult(X_52,X_54),A),mult(rd(X_52,mult(rd(A,X_54),rd(A,X_54))),rd(A,X_54))) )],[refute_0_627,refute_0_630]) ).
cnf(refute_0_632,plain,
mult(rd(X_52,rd(A,X_54)),ld(rd(A,X_54),rd(A,X_54))) = mult(X_52,ld(rd(A,X_54),ld(rd(A,X_54),rd(A,X_54)))),
inference(subst,[],[refute_0_542:[bind(B,$fot(rd(A,X_54))),bind(C,$fot(rd(A,X_54))),bind(X_41,$fot(X_52))]]) ).
cnf(refute_0_633,plain,
( mult(rd(X_52,rd(A,X_54)),ld(rd(A,X_54),rd(A,X_54))) != mult(X_52,ld(rd(A,X_54),ld(rd(A,X_54),rd(A,X_54))))
| rd(mult(X_52,X_54),A) != mult(rd(X_52,rd(A,X_54)),ld(rd(A,X_54),rd(A,X_54)))
| rd(mult(X_52,X_54),A) = mult(X_52,ld(rd(A,X_54),ld(rd(A,X_54),rd(A,X_54)))) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_52,X_54),A),mult(rd(X_52,rd(A,X_54)),ld(rd(A,X_54),rd(A,X_54)))) ),[1],$fot(mult(X_52,ld(rd(A,X_54),ld(rd(A,X_54),rd(A,X_54)))))]]) ).
cnf(refute_0_634,plain,
( rd(mult(X_52,X_54),A) != mult(rd(X_52,rd(A,X_54)),ld(rd(A,X_54),rd(A,X_54)))
| rd(mult(X_52,X_54),A) = mult(X_52,ld(rd(A,X_54),ld(rd(A,X_54),rd(A,X_54)))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_52,rd(A,X_54)),ld(rd(A,X_54),rd(A,X_54))),mult(X_52,ld(rd(A,X_54),ld(rd(A,X_54),rd(A,X_54))))) )],[refute_0_632,refute_0_633]) ).
cnf(refute_0_635,plain,
rd(mult(X_52,X_54),A) = mult(X_52,ld(rd(A,X_54),ld(rd(A,X_54),rd(A,X_54)))),
inference(resolve,[$cnf( $equal(rd(mult(X_52,X_54),A),mult(rd(X_52,rd(A,X_54)),ld(rd(A,X_54),rd(A,X_54)))) )],[refute_0_631,refute_0_634]) ).
cnf(refute_0_636,plain,
mult(X_52,ld(rd(A,X_54),ld(rd(A,X_54),rd(A,X_54)))) = rd(X_52,rd(A,X_54)),
inference(subst,[],[refute_0_605:[bind(A,$fot(X_52)),bind(X_19,$fot(rd(A,X_54)))]]) ).
cnf(refute_0_637,plain,
( mult(X_52,ld(rd(A,X_54),ld(rd(A,X_54),rd(A,X_54)))) != rd(X_52,rd(A,X_54))
| rd(mult(X_52,X_54),A) != mult(X_52,ld(rd(A,X_54),ld(rd(A,X_54),rd(A,X_54))))
| rd(mult(X_52,X_54),A) = rd(X_52,rd(A,X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_52,X_54),A),mult(X_52,ld(rd(A,X_54),ld(rd(A,X_54),rd(A,X_54))))) ),[1],$fot(rd(X_52,rd(A,X_54)))]]) ).
cnf(refute_0_638,plain,
( rd(mult(X_52,X_54),A) != mult(X_52,ld(rd(A,X_54),ld(rd(A,X_54),rd(A,X_54))))
| rd(mult(X_52,X_54),A) = rd(X_52,rd(A,X_54)) ),
inference(resolve,[$cnf( $equal(mult(X_52,ld(rd(A,X_54),ld(rd(A,X_54),rd(A,X_54)))),rd(X_52,rd(A,X_54))) )],[refute_0_636,refute_0_637]) ).
cnf(refute_0_639,plain,
rd(mult(X_52,X_54),A) = rd(X_52,rd(A,X_54)),
inference(resolve,[$cnf( $equal(rd(mult(X_52,X_54),A),mult(X_52,ld(rd(A,X_54),ld(rd(A,X_54),rd(A,X_54))))) )],[refute_0_635,refute_0_638]) ).
cnf(refute_0_640,plain,
rd(mult(X_25,ld(X_26,X_55)),X_55) = rd(X_25,rd(X_55,ld(X_26,X_55))),
inference(subst,[],[refute_0_639:[bind(A,$fot(X_55)),bind(X_52,$fot(X_25)),bind(X_54,$fot(ld(X_26,X_55)))]]) ).
cnf(refute_0_641,plain,
( rd(X_25,rd(X_55,ld(X_26,X_55))) != rd(X_25,X_26)
| rd(mult(X_25,ld(X_26,X_55)),X_55) != rd(X_25,rd(X_55,ld(X_26,X_55)))
| rd(mult(X_25,ld(X_26,X_55)),X_55) = rd(X_25,X_26) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(rd(mult(X_25,ld(X_26,X_55)),X_55))),bind(Y,$fot(rd(X_25,rd(X_55,ld(X_26,X_55))))),bind(Z,$fot(rd(X_25,X_26)))]]) ).
cnf(refute_0_642,plain,
( rd(X_25,rd(X_55,ld(X_26,X_55))) != rd(X_25,X_26)
| rd(mult(X_25,ld(X_26,X_55)),X_55) = rd(X_25,X_26) ),
inference(resolve,[$cnf( $equal(rd(mult(X_25,ld(X_26,X_55)),X_55),rd(X_25,rd(X_55,ld(X_26,X_55)))) )],[refute_0_640,refute_0_641]) ).
cnf(refute_0_643,plain,
rd(mult(X_25,ld(X_26,X_55)),X_55) = rd(X_25,X_26),
inference(resolve,[$cnf( $equal(rd(X_25,rd(X_55,ld(X_26,X_55))),rd(X_25,X_26)) )],[refute_0_623,refute_0_642]) ).
cnf(refute_0_644,plain,
mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B) = mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B),
introduced(tautology,[refl,[$fot(mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B))]]) ).
cnf(refute_0_645,plain,
( mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B) != mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B)
| rd(mult(X_25,ld(X_26,X_55)),X_55) != rd(X_25,X_26)
| mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B) = mult(rd(X_25,X_26),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B),mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B)) ),[1,0],$fot(rd(X_25,X_26))]]) ).
cnf(refute_0_646,plain,
( rd(mult(X_25,ld(X_26,X_55)),X_55) != rd(X_25,X_26)
| mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B) = mult(rd(X_25,X_26),B) ),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B),mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B)) )],[refute_0_644,refute_0_645]) ).
cnf(refute_0_647,plain,
mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B) = mult(rd(X_25,X_26),B),
inference(resolve,[$cnf( $equal(rd(mult(X_25,ld(X_26,X_55)),X_55),rd(X_25,X_26)) )],[refute_0_643,refute_0_646]) ).
cnf(refute_0_648,plain,
( ld(rd(X_26,X_25),B) != mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B)
| mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B) != mult(rd(X_25,X_26),B)
| ld(rd(X_26,X_25),B) = mult(rd(X_25,X_26),B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(rd(X_26,X_25),B),mult(rd(X_25,X_26),B)) ),[0],$fot(mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B))]]) ).
cnf(refute_0_649,plain,
( ld(rd(X_26,X_25),B) != mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B)
| ld(rd(X_26,X_25),B) = mult(rd(X_25,X_26),B) ),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B),mult(rd(X_25,X_26),B)) )],[refute_0_647,refute_0_648]) ).
cnf(refute_0_650,plain,
( mult(X_25,ld(X_26,B)) != mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B)
| ld(rd(X_26,X_25),B) = mult(rd(X_25,X_26),B) ),
inference(resolve,[$cnf( $equal(ld(rd(X_26,X_25),B),mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B)) )],[refute_0_618,refute_0_649]) ).
cnf(refute_0_651,plain,
ld(rd(X_26,X_25),B) = mult(rd(X_25,X_26),B),
inference(resolve,[$cnf( $equal(mult(X_25,ld(X_26,B)),mult(rd(mult(X_25,ld(X_26,X_55)),X_55),B)) )],[refute_0_173,refute_0_650]) ).
cnf(refute_0_652,plain,
( ld(rd(X_26,X_25),B) != mult(rd(X_25,X_26),B)
| mult(rd(X_25,X_26),B) = ld(rd(X_26,X_25),B) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(ld(rd(X_26,X_25),B))),bind(Y,$fot(mult(rd(X_25,X_26),B)))]]) ).
cnf(refute_0_653,plain,
mult(rd(X_25,X_26),B) = ld(rd(X_26,X_25),B),
inference(resolve,[$cnf( $equal(ld(rd(X_26,X_25),B),mult(rd(X_25,X_26),B)) )],[refute_0_651,refute_0_652]) ).
cnf(refute_0_654,plain,
mult(rd(X_109,X_109),x1(rd(X_109,X_109))) = ld(rd(X_109,X_109),x1(rd(X_109,X_109))),
inference(subst,[],[refute_0_653:[bind(B,$fot(x1(rd(X_109,X_109)))),bind(X_25,$fot(X_109)),bind(X_26,$fot(X_109))]]) ).
cnf(refute_0_655,plain,
( ld(rd(X_109,X_109),x1(rd(X_109,X_109))) != x1(rd(X_109,X_109))
| mult(rd(X_109,X_109),x1(rd(X_109,X_109))) != ld(rd(X_109,X_109),x1(rd(X_109,X_109)))
| mult(rd(X_109,X_109),x1(rd(X_109,X_109))) = x1(rd(X_109,X_109)) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(mult(rd(X_109,X_109),x1(rd(X_109,X_109))))),bind(Y,$fot(ld(rd(X_109,X_109),x1(rd(X_109,X_109))))),bind(Z,$fot(x1(rd(X_109,X_109))))]]) ).
cnf(refute_0_656,plain,
( ld(rd(X_109,X_109),x1(rd(X_109,X_109))) != x1(rd(X_109,X_109))
| mult(rd(X_109,X_109),x1(rd(X_109,X_109))) = x1(rd(X_109,X_109)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),ld(rd(X_109,X_109),x1(rd(X_109,X_109)))) )],[refute_0_654,refute_0_655]) ).
cnf(refute_0_657,plain,
mult(rd(X_109,X_109),x1(rd(X_109,X_109))) = x1(rd(X_109,X_109)),
inference(resolve,[$cnf( $equal(ld(rd(X_109,X_109),x1(rd(X_109,X_109))),x1(rd(X_109,X_109))) )],[refute_0_167,refute_0_656]) ).
cnf(refute_0_658,plain,
tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),x1_2(rd(X_109,X_109))) = tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),x1_2(rd(X_109,X_109))),
introduced(tautology,[refl,[$fot(tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),x1_2(rd(X_109,X_109))))]]) ).
cnf(refute_0_659,plain,
( mult(rd(X_109,X_109),x1(rd(X_109,X_109))) != x1(rd(X_109,X_109))
| tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),x1_2(rd(X_109,X_109))) != tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),x1_2(rd(X_109,X_109)))
| tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),x1_2(rd(X_109,X_109))) = tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109))) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),x1_2(rd(X_109,X_109))),tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),x1_2(rd(X_109,X_109)))) ),[1,0],$fot(x1(rd(X_109,X_109)))]]) ).
cnf(refute_0_660,plain,
( mult(rd(X_109,X_109),x1(rd(X_109,X_109))) != x1(rd(X_109,X_109))
| tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),x1_2(rd(X_109,X_109))) = tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109))) ),
inference(resolve,[$cnf( $equal(tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),x1_2(rd(X_109,X_109))),tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),x1_2(rd(X_109,X_109)))) )],[refute_0_658,refute_0_659]) ).
cnf(refute_0_661,plain,
tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),x1_2(rd(X_109,X_109))) = tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109))),
inference(resolve,[$cnf( $equal(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),x1(rd(X_109,X_109))) )],[refute_0_657,refute_0_660]) ).
cnf(refute_0_662,plain,
( tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),x1_2(rd(X_109,X_109))) != tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109)))
| tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109))) != tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109)))
| tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),x1_2(rd(X_109,X_109))) = tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),x1_2(rd(X_109,X_109))),tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109)))) ),[0],$fot(tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109))))]]) ).
cnf(refute_0_663,plain,
( tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109))) != tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109)))
| tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),x1_2(rd(X_109,X_109))) = tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109))) ),
inference(resolve,[$cnf( $equal(tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),x1_2(rd(X_109,X_109))),tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109)))) )],[refute_0_661,refute_0_662]) ).
cnf(refute_0_664,plain,
tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109))) != tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109))),
inference(resolve,[$cnf( $equal(tuple(mult(rd(X_109,X_109),x1(rd(X_109,X_109))),x1_2(rd(X_109,X_109))),tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109)))) )],[refute_0_663,refute_0_166]) ).
cnf(refute_0_665,plain,
tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109))) = tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109))),
introduced(tautology,[refl,[$fot(tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109))))]]) ).
cnf(refute_0_666,plain,
$false,
inference(resolve,[$cnf( $equal(tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109))),tuple(x1(rd(X_109,X_109)),x1_2(rd(X_109,X_109)))) )],[refute_0_665,refute_0_664]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP658-10 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 01:44:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.01/1.19 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.01/1.19
% 1.01/1.19 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.09/1.28
%------------------------------------------------------------------------------