TSTP Solution File: GRP683-10 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP683-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.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 10:45:06 EDT 2022
% Result : Unsatisfiable 2.84s 3.05s
% Output : CNFRefutation 2.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 97
% Number of leaves : 194
% Syntax : Number of clauses : 746 ( 372 unt; 0 nHn; 357 RR)
% Number of literals : 1291 (1290 equ; 547 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 1502 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f01,axiom,
ld(A,mult(A,A)) = A ).
cnf(f02,axiom,
rd(mult(A,A),A) = A ).
cnf(f03,axiom,
mult(A,ld(A,B)) = ld(A,mult(A,B)) ).
cnf(f04,axiom,
mult(rd(A,B),B) = rd(mult(A,B),B) ).
cnf(f05,axiom,
ld(ld(A,B),mult(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D) ).
cnf(f06,axiom,
rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)) ).
cnf(f07,axiom,
ld(A,mult(A,ld(B,B))) = rd(mult(rd(A,A),B),B) ).
cnf(goal,negated_conjecture,
mult(x3,ld(x4,mult(x4,x5))) != mult(x3,x5) ).
cnf(refute_0_0,plain,
mult(A,ld(A,mult(A,ld(X_391,mult(X_391,X_392))))) = ld(A,mult(A,mult(A,ld(X_391,mult(X_391,X_392))))),
inference(subst,[],[f03:[bind(B,$fot(mult(A,ld(X_391,mult(X_391,X_392)))))]]) ).
cnf(refute_0_1,plain,
ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,B),X_34))) = mult(ld(X_31,mult(X_31,ld(X_31,B))),X_34),
inference(subst,[],[f05:[bind(A,$fot(X_31)),bind(B,$fot(X_32)),bind(C,$fot(ld(X_31,B))),bind(D,$fot(X_34))]]) ).
cnf(refute_0_2,plain,
mult(X_31,ld(X_31,B)) = ld(X_31,mult(X_31,B)),
inference(subst,[],[f03:[bind(A,$fot(X_31))]]) ).
cnf(refute_0_3,plain,
( ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,B),X_34))) != mult(ld(X_31,mult(X_31,ld(X_31,B))),X_34)
| mult(X_31,ld(X_31,B)) != ld(X_31,mult(X_31,B))
| ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,B),X_34))) = mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,B),X_34))),mult(ld(X_31,mult(X_31,ld(X_31,B))),X_34)) ),[1,0,1],$fot(ld(X_31,mult(X_31,B)))]]) ).
cnf(refute_0_4,plain,
( ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,B),X_34))) != mult(ld(X_31,mult(X_31,ld(X_31,B))),X_34)
| ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,B),X_34))) = mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34) ),
inference(resolve,[$cnf( $equal(mult(X_31,ld(X_31,B)),ld(X_31,mult(X_31,B))) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,B),X_34))) = mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34),
inference(resolve,[$cnf( $equal(ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,B),X_34))),mult(ld(X_31,mult(X_31,ld(X_31,B))),X_34)) )],[refute_0_1,refute_0_4]) ).
cnf(refute_0_6,plain,
ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_33,X_34))) = mult(ld(X_31,mult(X_31,X_33)),X_34),
inference(subst,[],[f05:[bind(A,$fot(X_31)),bind(B,$fot(mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31)))))),bind(C,$fot(X_33)),bind(D,$fot(X_34))]]) ).
cnf(refute_0_7,plain,
mult(A,ld(A,mult(A,ld(ld(A,A),ld(A,A))))) = ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))),
inference(subst,[],[f03:[bind(B,$fot(mult(A,ld(ld(A,A),ld(A,A)))))]]) ).
cnf(refute_0_8,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_9,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_10,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( mult(rd(A,B),B) != rd(mult(A,B),B)
| rd(mult(A,B),B) = mult(rd(A,B),B) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(mult(rd(A,B),B))),bind(Y,$fot(rd(mult(A,B),B)))]]) ).
cnf(refute_0_12,plain,
rd(mult(A,B),B) = mult(rd(A,B),B),
inference(resolve,[$cnf( $equal(mult(rd(A,B),B),rd(mult(A,B),B)) )],[f04,refute_0_11]) ).
cnf(refute_0_13,plain,
rd(mult(rd(A,A),B),B) = mult(rd(rd(A,A),B),B),
inference(subst,[],[refute_0_12:[bind(A,$fot(rd(A,A)))]]) ).
cnf(refute_0_14,plain,
( ld(A,mult(A,ld(B,B))) != rd(mult(rd(A,A),B),B)
| rd(mult(rd(A,A),B),B) != mult(rd(rd(A,A),B),B)
| ld(A,mult(A,ld(B,B))) = mult(rd(rd(A,A),B),B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(A,mult(A,ld(B,B))),mult(rd(rd(A,A),B),B)) ),[0],$fot(rd(mult(rd(A,A),B),B))]]) ).
cnf(refute_0_15,plain,
( ld(A,mult(A,ld(B,B))) != rd(mult(rd(A,A),B),B)
| ld(A,mult(A,ld(B,B))) = mult(rd(rd(A,A),B),B) ),
inference(resolve,[$cnf( $equal(rd(mult(rd(A,A),B),B),mult(rd(rd(A,A),B),B)) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
ld(A,mult(A,ld(B,B))) = mult(rd(rd(A,A),B),B),
inference(resolve,[$cnf( $equal(ld(A,mult(A,ld(B,B))),rd(mult(rd(A,A),B),B)) )],[f07,refute_0_15]) ).
cnf(refute_0_17,plain,
mult(rd(rd(X_8,X_8),X_8),X_8) = rd(mult(rd(X_8,X_8),X_8),X_8),
inference(subst,[],[f04:[bind(A,$fot(rd(X_8,X_8))),bind(B,$fot(X_8))]]) ).
cnf(refute_0_18,plain,
rd(mult(A,A),A) = mult(rd(A,A),A),
inference(subst,[],[refute_0_12:[bind(B,$fot(A))]]) ).
cnf(refute_0_19,plain,
( rd(mult(A,A),A) != A
| rd(mult(A,A),A) != mult(rd(A,A),A)
| mult(rd(A,A),A) = A ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(A,A),A),A) ),[0],$fot(mult(rd(A,A),A))]]) ).
cnf(refute_0_20,plain,
( rd(mult(A,A),A) != A
| mult(rd(A,A),A) = A ),
inference(resolve,[$cnf( $equal(rd(mult(A,A),A),mult(rd(A,A),A)) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
mult(rd(A,A),A) = A,
inference(resolve,[$cnf( $equal(rd(mult(A,A),A),A) )],[f02,refute_0_20]) ).
cnf(refute_0_22,plain,
mult(rd(X_8,X_8),X_8) = X_8,
inference(subst,[],[refute_0_21:[bind(A,$fot(X_8))]]) ).
cnf(refute_0_23,plain,
( mult(rd(X_8,X_8),X_8) != X_8
| mult(rd(rd(X_8,X_8),X_8),X_8) != rd(mult(rd(X_8,X_8),X_8),X_8)
| mult(rd(rd(X_8,X_8),X_8),X_8) = rd(X_8,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(X_8,X_8),X_8),X_8),rd(mult(rd(X_8,X_8),X_8),X_8)) ),[1,0],$fot(X_8)]]) ).
cnf(refute_0_24,plain,
( mult(rd(rd(X_8,X_8),X_8),X_8) != rd(mult(rd(X_8,X_8),X_8),X_8)
| mult(rd(rd(X_8,X_8),X_8),X_8) = rd(X_8,X_8) ),
inference(resolve,[$cnf( $equal(mult(rd(X_8,X_8),X_8),X_8) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
mult(rd(rd(X_8,X_8),X_8),X_8) = rd(X_8,X_8),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_8,X_8),X_8),X_8),rd(mult(rd(X_8,X_8),X_8),X_8)) )],[refute_0_17,refute_0_24]) ).
cnf(refute_0_26,plain,
ld(X_8,mult(X_8,X_8)) = X_8,
inference(subst,[],[f01:[bind(A,$fot(X_8))]]) ).
cnf(refute_0_27,plain,
mult(X_8,ld(X_8,X_8)) = ld(X_8,mult(X_8,X_8)),
inference(subst,[],[f03:[bind(A,$fot(X_8)),bind(B,$fot(X_8))]]) ).
cnf(refute_0_28,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_29,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_10,refute_0_28]) ).
cnf(refute_0_30,plain,
( ld(X_8,mult(X_8,X_8)) != X_8
| mult(X_8,ld(X_8,X_8)) != ld(X_8,mult(X_8,X_8))
| mult(X_8,ld(X_8,X_8)) = X_8 ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(X_8,ld(X_8,X_8)))),bind(Y,$fot(ld(X_8,mult(X_8,X_8)))),bind(Z,$fot(X_8))]]) ).
cnf(refute_0_31,plain,
( ld(X_8,mult(X_8,X_8)) != X_8
| mult(X_8,ld(X_8,X_8)) = X_8 ),
inference(resolve,[$cnf( $equal(mult(X_8,ld(X_8,X_8)),ld(X_8,mult(X_8,X_8))) )],[refute_0_27,refute_0_30]) ).
cnf(refute_0_32,plain,
mult(X_8,ld(X_8,X_8)) = X_8,
inference(resolve,[$cnf( $equal(ld(X_8,mult(X_8,X_8)),X_8) )],[refute_0_26,refute_0_31]) ).
cnf(refute_0_33,plain,
ld(X_8,mult(X_8,ld(X_8,X_8))) = ld(X_8,mult(X_8,ld(X_8,X_8))),
introduced(tautology,[refl,[$fot(ld(X_8,mult(X_8,ld(X_8,X_8))))]]) ).
cnf(refute_0_34,plain,
( ld(X_8,mult(X_8,ld(X_8,X_8))) != ld(X_8,mult(X_8,ld(X_8,X_8)))
| mult(X_8,ld(X_8,X_8)) != X_8
| ld(X_8,mult(X_8,ld(X_8,X_8))) = ld(X_8,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_8,mult(X_8,ld(X_8,X_8))),ld(X_8,mult(X_8,ld(X_8,X_8)))) ),[1,1],$fot(X_8)]]) ).
cnf(refute_0_35,plain,
( mult(X_8,ld(X_8,X_8)) != X_8
| ld(X_8,mult(X_8,ld(X_8,X_8))) = ld(X_8,X_8) ),
inference(resolve,[$cnf( $equal(ld(X_8,mult(X_8,ld(X_8,X_8))),ld(X_8,mult(X_8,ld(X_8,X_8)))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
ld(X_8,mult(X_8,ld(X_8,X_8))) = ld(X_8,X_8),
inference(resolve,[$cnf( $equal(mult(X_8,ld(X_8,X_8)),X_8) )],[refute_0_32,refute_0_35]) ).
cnf(refute_0_37,plain,
( ld(A,mult(A,ld(B,B))) != mult(rd(rd(A,A),B),B)
| mult(rd(rd(A,A),B),B) = ld(A,mult(A,ld(B,B))) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(ld(A,mult(A,ld(B,B))))),bind(Y,$fot(mult(rd(rd(A,A),B),B)))]]) ).
cnf(refute_0_38,plain,
mult(rd(rd(A,A),B),B) = ld(A,mult(A,ld(B,B))),
inference(resolve,[$cnf( $equal(ld(A,mult(A,ld(B,B))),mult(rd(rd(A,A),B),B)) )],[refute_0_16,refute_0_37]) ).
cnf(refute_0_39,plain,
mult(rd(rd(X_8,X_8),X_8),X_8) = ld(X_8,mult(X_8,ld(X_8,X_8))),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_8)),bind(B,$fot(X_8))]]) ).
cnf(refute_0_40,plain,
( ld(X_8,mult(X_8,ld(X_8,X_8))) != ld(X_8,X_8)
| mult(rd(rd(X_8,X_8),X_8),X_8) != ld(X_8,mult(X_8,ld(X_8,X_8)))
| mult(rd(rd(X_8,X_8),X_8),X_8) = ld(X_8,X_8) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(rd(rd(X_8,X_8),X_8),X_8))),bind(Y,$fot(ld(X_8,mult(X_8,ld(X_8,X_8))))),bind(Z,$fot(ld(X_8,X_8)))]]) ).
cnf(refute_0_41,plain,
( ld(X_8,mult(X_8,ld(X_8,X_8))) != ld(X_8,X_8)
| mult(rd(rd(X_8,X_8),X_8),X_8) = ld(X_8,X_8) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_8,X_8),X_8),X_8),ld(X_8,mult(X_8,ld(X_8,X_8)))) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
mult(rd(rd(X_8,X_8),X_8),X_8) = ld(X_8,X_8),
inference(resolve,[$cnf( $equal(ld(X_8,mult(X_8,ld(X_8,X_8))),ld(X_8,X_8)) )],[refute_0_36,refute_0_41]) ).
cnf(refute_0_43,plain,
( mult(rd(rd(X_8,X_8),X_8),X_8) != ld(X_8,X_8)
| mult(rd(rd(X_8,X_8),X_8),X_8) != rd(X_8,X_8)
| ld(X_8,X_8) = rd(X_8,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(X_8,X_8),X_8),X_8),rd(X_8,X_8)) ),[0],$fot(ld(X_8,X_8))]]) ).
cnf(refute_0_44,plain,
( mult(rd(rd(X_8,X_8),X_8),X_8) != rd(X_8,X_8)
| ld(X_8,X_8) = rd(X_8,X_8) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_8,X_8),X_8),X_8),ld(X_8,X_8)) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
ld(X_8,X_8) = rd(X_8,X_8),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_8,X_8),X_8),X_8),rd(X_8,X_8)) )],[refute_0_25,refute_0_44]) ).
cnf(refute_0_46,plain,
( ld(X_8,X_8) != rd(X_8,X_8)
| rd(X_8,X_8) = ld(X_8,X_8) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(ld(X_8,X_8))),bind(Y,$fot(rd(X_8,X_8)))]]) ).
cnf(refute_0_47,plain,
rd(X_8,X_8) = ld(X_8,X_8),
inference(resolve,[$cnf( $equal(ld(X_8,X_8),rd(X_8,X_8)) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
rd(A,A) = ld(A,A),
inference(subst,[],[refute_0_47:[bind(X_8,$fot(A))]]) ).
cnf(refute_0_49,plain,
rd(rd(A,A),B) = rd(rd(A,A),B),
introduced(tautology,[refl,[$fot(rd(rd(A,A),B))]]) ).
cnf(refute_0_50,plain,
( rd(A,A) != ld(A,A)
| rd(rd(A,A),B) != rd(rd(A,A),B)
| rd(rd(A,A),B) = rd(ld(A,A),B) ),
introduced(tautology,[equality,[$cnf( $equal(rd(rd(A,A),B),rd(rd(A,A),B)) ),[1,0],$fot(ld(A,A))]]) ).
cnf(refute_0_51,plain,
( rd(A,A) != ld(A,A)
| rd(rd(A,A),B) = rd(ld(A,A),B) ),
inference(resolve,[$cnf( $equal(rd(rd(A,A),B),rd(rd(A,A),B)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
rd(rd(A,A),B) = rd(ld(A,A),B),
inference(resolve,[$cnf( $equal(rd(A,A),ld(A,A)) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
mult(rd(rd(A,A),B),B) = mult(rd(rd(A,A),B),B),
introduced(tautology,[refl,[$fot(mult(rd(rd(A,A),B),B))]]) ).
cnf(refute_0_54,plain,
( mult(rd(rd(A,A),B),B) != mult(rd(rd(A,A),B),B)
| rd(rd(A,A),B) != rd(ld(A,A),B)
| mult(rd(rd(A,A),B),B) = mult(rd(ld(A,A),B),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(A,A),B),B),mult(rd(rd(A,A),B),B)) ),[1,0],$fot(rd(ld(A,A),B))]]) ).
cnf(refute_0_55,plain,
( rd(rd(A,A),B) != rd(ld(A,A),B)
| mult(rd(rd(A,A),B),B) = mult(rd(ld(A,A),B),B) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(A,A),B),B),mult(rd(rd(A,A),B),B)) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
mult(rd(rd(A,A),B),B) = mult(rd(ld(A,A),B),B),
inference(resolve,[$cnf( $equal(rd(rd(A,A),B),rd(ld(A,A),B)) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
( ld(A,mult(A,ld(B,B))) != mult(rd(rd(A,A),B),B)
| mult(rd(rd(A,A),B),B) != mult(rd(ld(A,A),B),B)
| ld(A,mult(A,ld(B,B))) = mult(rd(ld(A,A),B),B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(A,mult(A,ld(B,B))),mult(rd(ld(A,A),B),B)) ),[0],$fot(mult(rd(rd(A,A),B),B))]]) ).
cnf(refute_0_58,plain,
( ld(A,mult(A,ld(B,B))) != mult(rd(rd(A,A),B),B)
| ld(A,mult(A,ld(B,B))) = mult(rd(ld(A,A),B),B) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(A,A),B),B),mult(rd(ld(A,A),B),B)) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
ld(A,mult(A,ld(B,B))) = mult(rd(ld(A,A),B),B),
inference(resolve,[$cnf( $equal(ld(A,mult(A,ld(B,B))),mult(rd(rd(A,A),B),B)) )],[refute_0_16,refute_0_58]) ).
cnf(refute_0_60,plain,
ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) = mult(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),
inference(subst,[],[refute_0_59:[bind(A,$fot(X_13)),bind(B,$fot(ld(X_13,X_13)))]]) ).
cnf(refute_0_61,plain,
ld(ld(X_13,X_13),ld(X_13,X_13)) = rd(ld(X_13,X_13),ld(X_13,X_13)),
inference(subst,[],[refute_0_45:[bind(X_8,$fot(ld(X_13,X_13)))]]) ).
cnf(refute_0_62,plain,
( ld(ld(X_13,X_13),ld(X_13,X_13)) != rd(ld(X_13,X_13),ld(X_13,X_13))
| rd(ld(X_13,X_13),ld(X_13,X_13)) = ld(ld(X_13,X_13),ld(X_13,X_13)) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(ld(ld(X_13,X_13),ld(X_13,X_13)))),bind(Y,$fot(rd(ld(X_13,X_13),ld(X_13,X_13))))]]) ).
cnf(refute_0_63,plain,
rd(ld(X_13,X_13),ld(X_13,X_13)) = ld(ld(X_13,X_13),ld(X_13,X_13)),
inference(resolve,[$cnf( $equal(ld(ld(X_13,X_13),ld(X_13,X_13)),rd(ld(X_13,X_13),ld(X_13,X_13))) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
( ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) != mult(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))
| rd(ld(X_13,X_13),ld(X_13,X_13)) != ld(ld(X_13,X_13),ld(X_13,X_13))
| ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) = mult(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))),mult(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))) ),[1,0],$fot(ld(ld(X_13,X_13),ld(X_13,X_13)))]]) ).
cnf(refute_0_65,plain,
( ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) != mult(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))
| ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) = mult(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) ),
inference(resolve,[$cnf( $equal(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(ld(X_13,X_13),ld(X_13,X_13))) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) = mult(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),
inference(resolve,[$cnf( $equal(ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))),mult(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))) )],[refute_0_60,refute_0_65]) ).
cnf(refute_0_67,plain,
mult(rd(A,A),A) = mult(rd(A,A),A),
introduced(tautology,[refl,[$fot(mult(rd(A,A),A))]]) ).
cnf(refute_0_68,plain,
( mult(rd(A,A),A) != mult(rd(A,A),A)
| rd(A,A) != ld(A,A)
| mult(rd(A,A),A) = mult(ld(A,A),A) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(A,A),A),mult(rd(A,A),A)) ),[1,0],$fot(ld(A,A))]]) ).
cnf(refute_0_69,plain,
( rd(A,A) != ld(A,A)
| mult(rd(A,A),A) = mult(ld(A,A),A) ),
inference(resolve,[$cnf( $equal(mult(rd(A,A),A),mult(rd(A,A),A)) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
mult(rd(A,A),A) = mult(ld(A,A),A),
inference(resolve,[$cnf( $equal(rd(A,A),ld(A,A)) )],[refute_0_48,refute_0_69]) ).
cnf(refute_0_71,plain,
( mult(rd(A,A),A) != A
| mult(rd(A,A),A) != mult(ld(A,A),A)
| mult(ld(A,A),A) = A ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(A,A),A),A) ),[0],$fot(mult(ld(A,A),A))]]) ).
cnf(refute_0_72,plain,
( mult(rd(A,A),A) != A
| mult(ld(A,A),A) = A ),
inference(resolve,[$cnf( $equal(mult(rd(A,A),A),mult(ld(A,A),A)) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
mult(ld(A,A),A) = A,
inference(resolve,[$cnf( $equal(mult(rd(A,A),A),A) )],[refute_0_21,refute_0_72]) ).
cnf(refute_0_74,plain,
mult(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) = ld(X_13,X_13),
inference(subst,[],[refute_0_73:[bind(A,$fot(ld(X_13,X_13)))]]) ).
cnf(refute_0_75,plain,
( ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) != mult(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))
| mult(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) != ld(X_13,X_13)
| ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) = ld(X_13,X_13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))),ld(X_13,X_13)) ),[0],$fot(mult(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)))]]) ).
cnf(refute_0_76,plain,
( ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) != mult(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))
| ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) = ld(X_13,X_13) ),
inference(resolve,[$cnf( $equal(mult(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) = ld(X_13,X_13),
inference(resolve,[$cnf( $equal(ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))),mult(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))) )],[refute_0_66,refute_0_76]) ).
cnf(refute_0_78,plain,
ld(A,mult(A,ld(ld(A,A),ld(A,A)))) = ld(A,A),
inference(subst,[],[refute_0_77:[bind(X_13,$fot(A))]]) ).
cnf(refute_0_79,plain,
( ld(A,mult(A,ld(ld(A,A),ld(A,A)))) != ld(A,A)
| mult(A,ld(A,mult(A,ld(ld(A,A),ld(A,A))))) != ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))
| mult(A,ld(A,A)) = ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,ld(A,mult(A,ld(ld(A,A),ld(A,A))))),ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))) ),[0,1],$fot(ld(A,A))]]) ).
cnf(refute_0_80,plain,
( mult(A,ld(A,mult(A,ld(ld(A,A),ld(A,A))))) != ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))
| mult(A,ld(A,A)) = ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))) ),
inference(resolve,[$cnf( $equal(ld(A,mult(A,ld(ld(A,A),ld(A,A)))),ld(A,A)) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
mult(A,ld(A,A)) = ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))),
inference(resolve,[$cnf( $equal(mult(A,ld(A,mult(A,ld(ld(A,A),ld(A,A))))),ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))) )],[refute_0_7,refute_0_80]) ).
cnf(refute_0_82,plain,
mult(A,ld(A,A)) = ld(A,mult(A,A)),
inference(subst,[],[f03:[bind(B,$fot(A))]]) ).
cnf(refute_0_83,plain,
( ld(A,mult(A,A)) != A
| mult(A,ld(A,A)) != ld(A,mult(A,A))
| mult(A,ld(A,A)) = A ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(A,ld(A,A)))),bind(Y,$fot(ld(A,mult(A,A)))),bind(Z,$fot(A))]]) ).
cnf(refute_0_84,plain,
( ld(A,mult(A,A)) != A
| mult(A,ld(A,A)) = A ),
inference(resolve,[$cnf( $equal(mult(A,ld(A,A)),ld(A,mult(A,A))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
mult(A,ld(A,A)) = A,
inference(resolve,[$cnf( $equal(ld(A,mult(A,A)),A) )],[f01,refute_0_84]) ).
cnf(refute_0_86,plain,
( mult(A,ld(A,A)) != A
| mult(A,ld(A,A)) != ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))
| A = ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,ld(A,A)),ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))) ),[0],$fot(A)]]) ).
cnf(refute_0_87,plain,
( mult(A,ld(A,A)) != ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))
| A = ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))) ),
inference(resolve,[$cnf( $equal(mult(A,ld(A,A)),A) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
A = ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))),
inference(resolve,[$cnf( $equal(mult(A,ld(A,A)),ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))) )],[refute_0_81,refute_0_87]) ).
cnf(refute_0_89,plain,
X_31 = ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),
inference(subst,[],[refute_0_88:[bind(A,$fot(X_31))]]) ).
cnf(refute_0_90,plain,
( X_31 != ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31)))))
| ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))) = X_31 ),
inference(subst,[],[refute_0_10:[bind(X,$fot(X_31)),bind(Y,$fot(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31)))))))]]) ).
cnf(refute_0_91,plain,
ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))) = X_31,
inference(resolve,[$cnf( $equal(X_31,ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31)))))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
( ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))) != X_31
| ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_33,X_34))) != mult(ld(X_31,mult(X_31,X_33)),X_34)
| ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_31,mult(X_33,X_34))) = mult(ld(X_31,mult(X_31,X_33)),X_34) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_33,X_34))),mult(ld(X_31,mult(X_31,X_33)),X_34)) ),[0,1,0],$fot(X_31)]]) ).
cnf(refute_0_93,plain,
( ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_33,X_34))) != mult(ld(X_31,mult(X_31,X_33)),X_34)
| ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_31,mult(X_33,X_34))) = mult(ld(X_31,mult(X_31,X_33)),X_34) ),
inference(resolve,[$cnf( $equal(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),X_31) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_31,mult(X_33,X_34))) = mult(ld(X_31,mult(X_31,X_33)),X_34),
inference(resolve,[$cnf( $equal(ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_33,X_34))),mult(ld(X_31,mult(X_31,X_33)),X_34)) )],[refute_0_6,refute_0_93]) ).
cnf(refute_0_95,plain,
ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_31,mult(X_33,X_34))) = ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_31,mult(X_33,X_34))),
introduced(tautology,[refl,[$fot(ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_31,mult(X_33,X_34))))]]) ).
cnf(refute_0_96,plain,
( ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))) != X_31
| ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_31,mult(X_33,X_34))) != ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_31,mult(X_33,X_34)))
| ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_31,mult(X_33,X_34))) = ld(X_31,mult(X_31,mult(X_33,X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_31,mult(X_33,X_34))),ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_31,mult(X_33,X_34)))) ),[1,0],$fot(X_31)]]) ).
cnf(refute_0_97,plain,
( ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))) != X_31
| ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_31,mult(X_33,X_34))) = ld(X_31,mult(X_31,mult(X_33,X_34))) ),
inference(resolve,[$cnf( $equal(ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_31,mult(X_33,X_34))),ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_31,mult(X_33,X_34)))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_31,mult(X_33,X_34))) = ld(X_31,mult(X_31,mult(X_33,X_34))),
inference(resolve,[$cnf( $equal(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),X_31) )],[refute_0_91,refute_0_97]) ).
cnf(refute_0_99,plain,
( ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_31,mult(X_33,X_34))) != ld(X_31,mult(X_31,mult(X_33,X_34)))
| ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_31,mult(X_33,X_34))) != mult(ld(X_31,mult(X_31,X_33)),X_34)
| ld(X_31,mult(X_31,mult(X_33,X_34))) = mult(ld(X_31,mult(X_31,X_33)),X_34) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_31,mult(X_33,X_34))),mult(ld(X_31,mult(X_31,X_33)),X_34)) ),[0],$fot(ld(X_31,mult(X_31,mult(X_33,X_34))))]]) ).
cnf(refute_0_100,plain,
( ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_31,mult(X_33,X_34))) != mult(ld(X_31,mult(X_31,X_33)),X_34)
| ld(X_31,mult(X_31,mult(X_33,X_34))) = mult(ld(X_31,mult(X_31,X_33)),X_34) ),
inference(resolve,[$cnf( $equal(ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_31,mult(X_33,X_34))),ld(X_31,mult(X_31,mult(X_33,X_34)))) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
ld(X_31,mult(X_31,mult(X_33,X_34))) = mult(ld(X_31,mult(X_31,X_33)),X_34),
inference(resolve,[$cnf( $equal(ld(ld(X_31,mult(X_31,mult(X_31,ld(ld(X_31,X_31),ld(X_31,X_31))))),mult(X_31,mult(X_33,X_34))),mult(ld(X_31,mult(X_31,X_33)),X_34)) )],[refute_0_94,refute_0_100]) ).
cnf(refute_0_102,plain,
( ld(X_31,mult(X_31,mult(X_33,X_34))) != mult(ld(X_31,mult(X_31,X_33)),X_34)
| mult(ld(X_31,mult(X_31,X_33)),X_34) = ld(X_31,mult(X_31,mult(X_33,X_34))) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(ld(X_31,mult(X_31,mult(X_33,X_34))))),bind(Y,$fot(mult(ld(X_31,mult(X_31,X_33)),X_34)))]]) ).
cnf(refute_0_103,plain,
mult(ld(X_31,mult(X_31,X_33)),X_34) = ld(X_31,mult(X_31,mult(X_33,X_34))),
inference(resolve,[$cnf( $equal(ld(X_31,mult(X_31,mult(X_33,X_34))),mult(ld(X_31,mult(X_31,X_33)),X_34)) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
mult(ld(X_31,mult(X_31,ld(X_31,B))),X_34) = ld(X_31,mult(X_31,mult(ld(X_31,B),X_34))),
inference(subst,[],[refute_0_103:[bind(X_33,$fot(ld(X_31,B)))]]) ).
cnf(refute_0_105,plain,
( ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,B),X_34))) != mult(ld(X_31,mult(X_31,ld(X_31,B))),X_34)
| mult(ld(X_31,mult(X_31,ld(X_31,B))),X_34) != ld(X_31,mult(X_31,mult(ld(X_31,B),X_34)))
| ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,B),X_34))) = ld(X_31,mult(X_31,mult(ld(X_31,B),X_34))) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,B),X_34))))),bind(Y,$fot(mult(ld(X_31,mult(X_31,ld(X_31,B))),X_34))),bind(Z,$fot(ld(X_31,mult(X_31,mult(ld(X_31,B),X_34)))))]]) ).
cnf(refute_0_106,plain,
( mult(ld(X_31,mult(X_31,ld(X_31,B))),X_34) != ld(X_31,mult(X_31,mult(ld(X_31,B),X_34)))
| ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,B),X_34))) = ld(X_31,mult(X_31,mult(ld(X_31,B),X_34))) ),
inference(resolve,[$cnf( $equal(ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,B),X_34))),mult(ld(X_31,mult(X_31,ld(X_31,B))),X_34)) )],[refute_0_1,refute_0_105]) ).
cnf(refute_0_107,plain,
ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,B),X_34))) = ld(X_31,mult(X_31,mult(ld(X_31,B),X_34))),
inference(resolve,[$cnf( $equal(mult(ld(X_31,mult(X_31,ld(X_31,B))),X_34),ld(X_31,mult(X_31,mult(ld(X_31,B),X_34)))) )],[refute_0_104,refute_0_106]) ).
cnf(refute_0_108,plain,
( ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,B),X_34))) != ld(X_31,mult(X_31,mult(ld(X_31,B),X_34)))
| ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,B),X_34))) != mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34)
| ld(X_31,mult(X_31,mult(ld(X_31,B),X_34))) = mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,B),X_34))),mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34)) ),[0],$fot(ld(X_31,mult(X_31,mult(ld(X_31,B),X_34))))]]) ).
cnf(refute_0_109,plain,
( ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,B),X_34))) != mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34)
| ld(X_31,mult(X_31,mult(ld(X_31,B),X_34))) = mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34) ),
inference(resolve,[$cnf( $equal(ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,B),X_34))),ld(X_31,mult(X_31,mult(ld(X_31,B),X_34)))) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
ld(X_31,mult(X_31,mult(ld(X_31,B),X_34))) = mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34),
inference(resolve,[$cnf( $equal(ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,B),X_34))),mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34)) )],[refute_0_5,refute_0_109]) ).
cnf(refute_0_111,plain,
ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))) = mult(ld(X_31,mult(X_31,ld(X_31,X_32))),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))),
inference(subst,[],[f05:[bind(A,$fot(X_31)),bind(B,$fot(X_32)),bind(C,$fot(ld(X_31,X_32))),bind(D,$fot(ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))]]) ).
cnf(refute_0_112,plain,
ld(X_31,X_32) = ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))),
inference(subst,[],[refute_0_88:[bind(A,$fot(ld(X_31,X_32)))]]) ).
cnf(refute_0_113,plain,
( ld(X_31,X_32) != ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))))
| ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))) = ld(X_31,X_32) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(ld(X_31,X_32))),bind(Y,$fot(ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))))))]]) ).
cnf(refute_0_114,plain,
ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))) = ld(X_31,X_32),
inference(resolve,[$cnf( $equal(ld(X_31,X_32),ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
( ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))) != ld(X_31,X_32)
| ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))) != mult(ld(X_31,mult(X_31,ld(X_31,X_32))),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))
| ld(X_31,X_32) = mult(ld(X_31,mult(X_31,ld(X_31,X_32))),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))),mult(ld(X_31,mult(X_31,ld(X_31,X_32))),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))) ),[0],$fot(ld(X_31,X_32))]]) ).
cnf(refute_0_116,plain,
( ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))) != mult(ld(X_31,mult(X_31,ld(X_31,X_32))),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))
| ld(X_31,X_32) = mult(ld(X_31,mult(X_31,ld(X_31,X_32))),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))) ),
inference(resolve,[$cnf( $equal(ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))),ld(X_31,X_32)) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
ld(X_31,X_32) = mult(ld(X_31,mult(X_31,ld(X_31,X_32))),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))),
inference(resolve,[$cnf( $equal(ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))),mult(ld(X_31,mult(X_31,ld(X_31,X_32))),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))) )],[refute_0_111,refute_0_116]) ).
cnf(refute_0_118,plain,
mult(ld(X_31,mult(X_31,ld(X_31,X_32))),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))) = ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))),
inference(subst,[],[refute_0_103:[bind(X_33,$fot(ld(X_31,X_32))),bind(X_34,$fot(ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))]]) ).
cnf(refute_0_119,plain,
( ld(X_31,X_32) != mult(ld(X_31,mult(X_31,ld(X_31,X_32))),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))
| mult(ld(X_31,mult(X_31,ld(X_31,X_32))),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))) != ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))))
| ld(X_31,X_32) = ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(X_31,X_32),ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))))) ),[0],$fot(mult(ld(X_31,mult(X_31,ld(X_31,X_32))),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))]]) ).
cnf(refute_0_120,plain,
( ld(X_31,X_32) != mult(ld(X_31,mult(X_31,ld(X_31,X_32))),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))
| ld(X_31,X_32) = ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))) ),
inference(resolve,[$cnf( $equal(mult(ld(X_31,mult(X_31,ld(X_31,X_32))),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))),ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
ld(X_31,X_32) = ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))),
inference(resolve,[$cnf( $equal(ld(X_31,X_32),mult(ld(X_31,mult(X_31,ld(X_31,X_32))),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
mult(X_31,ld(X_31,X_32)) = ld(X_31,mult(X_31,X_32)),
inference(subst,[],[f03:[bind(A,$fot(X_31)),bind(B,$fot(X_32))]]) ).
cnf(refute_0_123,plain,
ld(ld(X_33,X_32),mult(ld(X_33,X_32),mult(X_33,X_34))) = mult(ld(X_33,mult(X_33,X_33)),X_34),
inference(subst,[],[f05:[bind(A,$fot(X_33)),bind(B,$fot(X_32)),bind(C,$fot(X_33)),bind(D,$fot(X_34))]]) ).
cnf(refute_0_124,plain,
ld(X_33,mult(X_33,X_33)) = X_33,
inference(subst,[],[f01:[bind(A,$fot(X_33))]]) ).
cnf(refute_0_125,plain,
( ld(X_33,mult(X_33,X_33)) != X_33
| ld(ld(X_33,X_32),mult(ld(X_33,X_32),mult(X_33,X_34))) != mult(ld(X_33,mult(X_33,X_33)),X_34)
| ld(ld(X_33,X_32),mult(ld(X_33,X_32),mult(X_33,X_34))) = mult(X_33,X_34) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_33,X_32),mult(ld(X_33,X_32),mult(X_33,X_34))),mult(ld(X_33,mult(X_33,X_33)),X_34)) ),[1,0],$fot(X_33)]]) ).
cnf(refute_0_126,plain,
( ld(ld(X_33,X_32),mult(ld(X_33,X_32),mult(X_33,X_34))) != mult(ld(X_33,mult(X_33,X_33)),X_34)
| ld(ld(X_33,X_32),mult(ld(X_33,X_32),mult(X_33,X_34))) = mult(X_33,X_34) ),
inference(resolve,[$cnf( $equal(ld(X_33,mult(X_33,X_33)),X_33) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
ld(ld(X_33,X_32),mult(ld(X_33,X_32),mult(X_33,X_34))) = mult(X_33,X_34),
inference(resolve,[$cnf( $equal(ld(ld(X_33,X_32),mult(ld(X_33,X_32),mult(X_33,X_34))),mult(ld(X_33,mult(X_33,X_33)),X_34)) )],[refute_0_123,refute_0_126]) ).
cnf(refute_0_128,plain,
mult(ld(X_33,mult(X_33,X_33)),X_34) = ld(X_33,mult(X_33,mult(X_33,X_34))),
inference(subst,[],[refute_0_103:[bind(X_31,$fot(X_33))]]) ).
cnf(refute_0_129,plain,
( ld(ld(X_33,X_32),mult(ld(X_33,X_32),mult(X_33,X_34))) != mult(ld(X_33,mult(X_33,X_33)),X_34)
| mult(ld(X_33,mult(X_33,X_33)),X_34) != ld(X_33,mult(X_33,mult(X_33,X_34)))
| ld(ld(X_33,X_32),mult(ld(X_33,X_32),mult(X_33,X_34))) = ld(X_33,mult(X_33,mult(X_33,X_34))) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(ld(ld(X_33,X_32),mult(ld(X_33,X_32),mult(X_33,X_34))))),bind(Y,$fot(mult(ld(X_33,mult(X_33,X_33)),X_34))),bind(Z,$fot(ld(X_33,mult(X_33,mult(X_33,X_34)))))]]) ).
cnf(refute_0_130,plain,
( mult(ld(X_33,mult(X_33,X_33)),X_34) != ld(X_33,mult(X_33,mult(X_33,X_34)))
| ld(ld(X_33,X_32),mult(ld(X_33,X_32),mult(X_33,X_34))) = ld(X_33,mult(X_33,mult(X_33,X_34))) ),
inference(resolve,[$cnf( $equal(ld(ld(X_33,X_32),mult(ld(X_33,X_32),mult(X_33,X_34))),mult(ld(X_33,mult(X_33,X_33)),X_34)) )],[refute_0_123,refute_0_129]) ).
cnf(refute_0_131,plain,
ld(ld(X_33,X_32),mult(ld(X_33,X_32),mult(X_33,X_34))) = ld(X_33,mult(X_33,mult(X_33,X_34))),
inference(resolve,[$cnf( $equal(mult(ld(X_33,mult(X_33,X_33)),X_34),ld(X_33,mult(X_33,mult(X_33,X_34)))) )],[refute_0_128,refute_0_130]) ).
cnf(refute_0_132,plain,
( ld(ld(X_33,X_32),mult(ld(X_33,X_32),mult(X_33,X_34))) != ld(X_33,mult(X_33,mult(X_33,X_34)))
| ld(ld(X_33,X_32),mult(ld(X_33,X_32),mult(X_33,X_34))) != mult(X_33,X_34)
| ld(X_33,mult(X_33,mult(X_33,X_34))) = mult(X_33,X_34) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_33,X_32),mult(ld(X_33,X_32),mult(X_33,X_34))),mult(X_33,X_34)) ),[0],$fot(ld(X_33,mult(X_33,mult(X_33,X_34))))]]) ).
cnf(refute_0_133,plain,
( ld(ld(X_33,X_32),mult(ld(X_33,X_32),mult(X_33,X_34))) != mult(X_33,X_34)
| ld(X_33,mult(X_33,mult(X_33,X_34))) = mult(X_33,X_34) ),
inference(resolve,[$cnf( $equal(ld(ld(X_33,X_32),mult(ld(X_33,X_32),mult(X_33,X_34))),ld(X_33,mult(X_33,mult(X_33,X_34)))) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
ld(X_33,mult(X_33,mult(X_33,X_34))) = mult(X_33,X_34),
inference(resolve,[$cnf( $equal(ld(ld(X_33,X_32),mult(ld(X_33,X_32),mult(X_33,X_34))),mult(X_33,X_34)) )],[refute_0_127,refute_0_133]) ).
cnf(refute_0_135,plain,
ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))) = mult(A,ld(ld(A,A),ld(A,A))),
inference(subst,[],[refute_0_134:[bind(X_33,$fot(A)),bind(X_34,$fot(ld(ld(A,A),ld(A,A))))]]) ).
cnf(refute_0_136,plain,
( A != ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))
| ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))) != mult(A,ld(ld(A,A),ld(A,A)))
| A = mult(A,ld(ld(A,A),ld(A,A))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(A,mult(A,ld(ld(A,A),ld(A,A)))) ),[0],$fot(ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))))]]) ).
cnf(refute_0_137,plain,
( A != ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))
| A = mult(A,ld(ld(A,A),ld(A,A))) ),
inference(resolve,[$cnf( $equal(ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))),mult(A,ld(ld(A,A),ld(A,A)))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
A = mult(A,ld(ld(A,A),ld(A,A))),
inference(resolve,[$cnf( $equal(A,ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))) )],[refute_0_88,refute_0_137]) ).
cnf(refute_0_139,plain,
( A != mult(A,ld(ld(A,A),ld(A,A)))
| mult(A,ld(ld(A,A),ld(A,A))) = A ),
inference(subst,[],[refute_0_10:[bind(X,$fot(A)),bind(Y,$fot(mult(A,ld(ld(A,A),ld(A,A)))))]]) ).
cnf(refute_0_140,plain,
mult(A,ld(ld(A,A),ld(A,A))) = A,
inference(resolve,[$cnf( $equal(A,mult(A,ld(ld(A,A),ld(A,A)))) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))) = ld(X_31,X_32),
inference(subst,[],[refute_0_140:[bind(A,$fot(ld(X_31,X_32)))]]) ).
cnf(refute_0_142,plain,
mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))) = mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))),
introduced(tautology,[refl,[$fot(mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))))]]) ).
cnf(refute_0_143,plain,
( mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))) != mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))
| mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))) != ld(X_31,X_32)
| mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))) = mult(X_31,ld(X_31,X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))),mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))) ),[1,1],$fot(ld(X_31,X_32))]]) ).
cnf(refute_0_144,plain,
( mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))) != ld(X_31,X_32)
| mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))) = mult(X_31,ld(X_31,X_32)) ),
inference(resolve,[$cnf( $equal(mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))),mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))) = mult(X_31,ld(X_31,X_32)),
inference(resolve,[$cnf( $equal(mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))),ld(X_31,X_32)) )],[refute_0_141,refute_0_144]) ).
cnf(refute_0_146,plain,
( mult(X_31,ld(X_31,X_32)) != ld(X_31,mult(X_31,X_32))
| mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))) != mult(X_31,ld(X_31,X_32))
| mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))) = ld(X_31,mult(X_31,X_32)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))))),bind(Y,$fot(mult(X_31,ld(X_31,X_32)))),bind(Z,$fot(ld(X_31,mult(X_31,X_32))))]]) ).
cnf(refute_0_147,plain,
( mult(X_31,ld(X_31,X_32)) != ld(X_31,mult(X_31,X_32))
| mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))) = ld(X_31,mult(X_31,X_32)) ),
inference(resolve,[$cnf( $equal(mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))),mult(X_31,ld(X_31,X_32))) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))) = ld(X_31,mult(X_31,X_32)),
inference(resolve,[$cnf( $equal(mult(X_31,ld(X_31,X_32)),ld(X_31,mult(X_31,X_32))) )],[refute_0_122,refute_0_147]) ).
cnf(refute_0_149,plain,
ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))) = ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))),
introduced(tautology,[refl,[$fot(ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))))]]) ).
cnf(refute_0_150,plain,
( ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))) != ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))))
| mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))) != ld(X_31,mult(X_31,X_32))
| ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))) = ld(X_31,ld(X_31,mult(X_31,X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))),ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))))) ),[1,1],$fot(ld(X_31,mult(X_31,X_32)))]]) ).
cnf(refute_0_151,plain,
( mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))) != ld(X_31,mult(X_31,X_32))
| ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))) = ld(X_31,ld(X_31,mult(X_31,X_32))) ),
inference(resolve,[$cnf( $equal(ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))),ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))))) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))) = ld(X_31,ld(X_31,mult(X_31,X_32))),
inference(resolve,[$cnf( $equal(mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))),ld(X_31,mult(X_31,X_32))) )],[refute_0_148,refute_0_151]) ).
cnf(refute_0_153,plain,
( ld(X_31,X_32) != ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))))
| ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))) != ld(X_31,ld(X_31,mult(X_31,X_32)))
| ld(X_31,X_32) = ld(X_31,ld(X_31,mult(X_31,X_32))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(X_31,X_32),ld(X_31,ld(X_31,mult(X_31,X_32)))) ),[0],$fot(ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))))]]) ).
cnf(refute_0_154,plain,
( ld(X_31,X_32) != ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))))
| ld(X_31,X_32) = ld(X_31,ld(X_31,mult(X_31,X_32))) ),
inference(resolve,[$cnf( $equal(ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32)))))),ld(X_31,ld(X_31,mult(X_31,X_32)))) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
ld(X_31,X_32) = ld(X_31,ld(X_31,mult(X_31,X_32))),
inference(resolve,[$cnf( $equal(ld(X_31,X_32),ld(X_31,mult(X_31,mult(ld(X_31,X_32),ld(ld(ld(X_31,X_32),ld(X_31,X_32)),ld(ld(X_31,X_32),ld(X_31,X_32))))))) )],[refute_0_121,refute_0_154]) ).
cnf(refute_0_156,plain,
( ld(X_31,X_32) != ld(X_31,ld(X_31,mult(X_31,X_32)))
| ld(X_31,ld(X_31,mult(X_31,X_32))) = ld(X_31,X_32) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(ld(X_31,X_32))),bind(Y,$fot(ld(X_31,ld(X_31,mult(X_31,X_32)))))]]) ).
cnf(refute_0_157,plain,
ld(X_31,ld(X_31,mult(X_31,X_32))) = ld(X_31,X_32),
inference(resolve,[$cnf( $equal(ld(X_31,X_32),ld(X_31,ld(X_31,mult(X_31,X_32)))) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
ld(X_31,ld(X_31,mult(X_31,B))) = ld(X_31,B),
inference(subst,[],[refute_0_157:[bind(X_32,$fot(B))]]) ).
cnf(refute_0_159,plain,
mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34) = mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34),
introduced(tautology,[refl,[$fot(mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34))]]) ).
cnf(refute_0_160,plain,
( ld(X_31,ld(X_31,mult(X_31,B))) != ld(X_31,B)
| mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34) != mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34)
| mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34) = mult(ld(X_31,B),X_34) ),
introduced(tautology,[equality,[$cnf( $equal(mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34),mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34)) ),[1,0],$fot(ld(X_31,B))]]) ).
cnf(refute_0_161,plain,
( ld(X_31,ld(X_31,mult(X_31,B))) != ld(X_31,B)
| mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34) = mult(ld(X_31,B),X_34) ),
inference(resolve,[$cnf( $equal(mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34),mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34)) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34) = mult(ld(X_31,B),X_34),
inference(resolve,[$cnf( $equal(ld(X_31,ld(X_31,mult(X_31,B))),ld(X_31,B)) )],[refute_0_158,refute_0_161]) ).
cnf(refute_0_163,plain,
( ld(X_31,mult(X_31,mult(ld(X_31,B),X_34))) != mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34)
| mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34) != mult(ld(X_31,B),X_34)
| ld(X_31,mult(X_31,mult(ld(X_31,B),X_34))) = mult(ld(X_31,B),X_34) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(X_31,mult(X_31,mult(ld(X_31,B),X_34))),mult(ld(X_31,B),X_34)) ),[0],$fot(mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34))]]) ).
cnf(refute_0_164,plain,
( ld(X_31,mult(X_31,mult(ld(X_31,B),X_34))) != mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34)
| ld(X_31,mult(X_31,mult(ld(X_31,B),X_34))) = mult(ld(X_31,B),X_34) ),
inference(resolve,[$cnf( $equal(mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34),mult(ld(X_31,B),X_34)) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
ld(X_31,mult(X_31,mult(ld(X_31,B),X_34))) = mult(ld(X_31,B),X_34),
inference(resolve,[$cnf( $equal(ld(X_31,mult(X_31,mult(ld(X_31,B),X_34))),mult(ld(X_31,ld(X_31,mult(X_31,B))),X_34)) )],[refute_0_110,refute_0_164]) ).
cnf(refute_0_166,plain,
ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))) = mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34),
inference(subst,[],[refute_0_165:[bind(B,$fot(mult(X_204,ld(X_205,X_205)))),bind(X_31,$fot(mult(X_204,ld(X_205,X_205))))]]) ).
cnf(refute_0_167,plain,
ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_34,X_34),X_34))) = mult(ld(X_31,mult(X_31,ld(X_34,X_34))),X_34),
inference(subst,[],[f05:[bind(A,$fot(X_31)),bind(B,$fot(X_32)),bind(C,$fot(ld(X_34,X_34))),bind(D,$fot(X_34))]]) ).
cnf(refute_0_168,plain,
mult(ld(X_34,X_34),X_34) = X_34,
inference(subst,[],[refute_0_73:[bind(A,$fot(X_34))]]) ).
cnf(refute_0_169,plain,
( ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_34,X_34),X_34))) != mult(ld(X_31,mult(X_31,ld(X_34,X_34))),X_34)
| mult(ld(X_34,X_34),X_34) != X_34
| ld(ld(X_31,X_32),mult(ld(X_31,X_32),X_34)) = mult(ld(X_31,mult(X_31,ld(X_34,X_34))),X_34) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_34,X_34),X_34))),mult(ld(X_31,mult(X_31,ld(X_34,X_34))),X_34)) ),[0,1,1],$fot(X_34)]]) ).
cnf(refute_0_170,plain,
( ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_34,X_34),X_34))) != mult(ld(X_31,mult(X_31,ld(X_34,X_34))),X_34)
| ld(ld(X_31,X_32),mult(ld(X_31,X_32),X_34)) = mult(ld(X_31,mult(X_31,ld(X_34,X_34))),X_34) ),
inference(resolve,[$cnf( $equal(mult(ld(X_34,X_34),X_34),X_34) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
ld(ld(X_31,X_32),mult(ld(X_31,X_32),X_34)) = mult(ld(X_31,mult(X_31,ld(X_34,X_34))),X_34),
inference(resolve,[$cnf( $equal(ld(ld(X_31,X_32),mult(ld(X_31,X_32),mult(ld(X_34,X_34),X_34))),mult(ld(X_31,mult(X_31,ld(X_34,X_34))),X_34)) )],[refute_0_167,refute_0_170]) ).
cnf(refute_0_172,plain,
mult(X_31,mult(ld(X_34,X_34),X_34)) = mult(X_31,mult(ld(X_34,X_34),X_34)),
introduced(tautology,[refl,[$fot(mult(X_31,mult(ld(X_34,X_34),X_34)))]]) ).
cnf(refute_0_173,plain,
( mult(X_31,mult(ld(X_34,X_34),X_34)) != mult(X_31,mult(ld(X_34,X_34),X_34))
| mult(ld(X_34,X_34),X_34) != X_34
| mult(X_31,mult(ld(X_34,X_34),X_34)) = mult(X_31,X_34) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_31,mult(ld(X_34,X_34),X_34)),mult(X_31,mult(ld(X_34,X_34),X_34))) ),[1,1],$fot(X_34)]]) ).
cnf(refute_0_174,plain,
( mult(ld(X_34,X_34),X_34) != X_34
| mult(X_31,mult(ld(X_34,X_34),X_34)) = mult(X_31,X_34) ),
inference(resolve,[$cnf( $equal(mult(X_31,mult(ld(X_34,X_34),X_34)),mult(X_31,mult(ld(X_34,X_34),X_34))) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
mult(X_31,mult(ld(X_34,X_34),X_34)) = mult(X_31,X_34),
inference(resolve,[$cnf( $equal(mult(ld(X_34,X_34),X_34),X_34) )],[refute_0_168,refute_0_174]) ).
cnf(refute_0_176,plain,
ld(X_31,mult(X_31,mult(ld(X_34,X_34),X_34))) = ld(X_31,mult(X_31,mult(ld(X_34,X_34),X_34))),
introduced(tautology,[refl,[$fot(ld(X_31,mult(X_31,mult(ld(X_34,X_34),X_34))))]]) ).
cnf(refute_0_177,plain,
( ld(X_31,mult(X_31,mult(ld(X_34,X_34),X_34))) != ld(X_31,mult(X_31,mult(ld(X_34,X_34),X_34)))
| mult(X_31,mult(ld(X_34,X_34),X_34)) != mult(X_31,X_34)
| ld(X_31,mult(X_31,mult(ld(X_34,X_34),X_34))) = ld(X_31,mult(X_31,X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_31,mult(X_31,mult(ld(X_34,X_34),X_34))),ld(X_31,mult(X_31,mult(ld(X_34,X_34),X_34)))) ),[1,1],$fot(mult(X_31,X_34))]]) ).
cnf(refute_0_178,plain,
( mult(X_31,mult(ld(X_34,X_34),X_34)) != mult(X_31,X_34)
| ld(X_31,mult(X_31,mult(ld(X_34,X_34),X_34))) = ld(X_31,mult(X_31,X_34)) ),
inference(resolve,[$cnf( $equal(ld(X_31,mult(X_31,mult(ld(X_34,X_34),X_34))),ld(X_31,mult(X_31,mult(ld(X_34,X_34),X_34)))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
ld(X_31,mult(X_31,mult(ld(X_34,X_34),X_34))) = ld(X_31,mult(X_31,X_34)),
inference(resolve,[$cnf( $equal(mult(X_31,mult(ld(X_34,X_34),X_34)),mult(X_31,X_34)) )],[refute_0_175,refute_0_178]) ).
cnf(refute_0_180,plain,
mult(ld(X_31,mult(X_31,ld(X_34,X_34))),X_34) = ld(X_31,mult(X_31,mult(ld(X_34,X_34),X_34))),
inference(subst,[],[refute_0_103:[bind(X_33,$fot(ld(X_34,X_34)))]]) ).
cnf(refute_0_181,plain,
( ld(X_31,mult(X_31,mult(ld(X_34,X_34),X_34))) != ld(X_31,mult(X_31,X_34))
| mult(ld(X_31,mult(X_31,ld(X_34,X_34))),X_34) != ld(X_31,mult(X_31,mult(ld(X_34,X_34),X_34)))
| mult(ld(X_31,mult(X_31,ld(X_34,X_34))),X_34) = ld(X_31,mult(X_31,X_34)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(ld(X_31,mult(X_31,ld(X_34,X_34))),X_34))),bind(Y,$fot(ld(X_31,mult(X_31,mult(ld(X_34,X_34),X_34))))),bind(Z,$fot(ld(X_31,mult(X_31,X_34))))]]) ).
cnf(refute_0_182,plain,
( ld(X_31,mult(X_31,mult(ld(X_34,X_34),X_34))) != ld(X_31,mult(X_31,X_34))
| mult(ld(X_31,mult(X_31,ld(X_34,X_34))),X_34) = ld(X_31,mult(X_31,X_34)) ),
inference(resolve,[$cnf( $equal(mult(ld(X_31,mult(X_31,ld(X_34,X_34))),X_34),ld(X_31,mult(X_31,mult(ld(X_34,X_34),X_34)))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
mult(ld(X_31,mult(X_31,ld(X_34,X_34))),X_34) = ld(X_31,mult(X_31,X_34)),
inference(resolve,[$cnf( $equal(ld(X_31,mult(X_31,mult(ld(X_34,X_34),X_34))),ld(X_31,mult(X_31,X_34))) )],[refute_0_179,refute_0_182]) ).
cnf(refute_0_184,plain,
( ld(ld(X_31,X_32),mult(ld(X_31,X_32),X_34)) != mult(ld(X_31,mult(X_31,ld(X_34,X_34))),X_34)
| mult(ld(X_31,mult(X_31,ld(X_34,X_34))),X_34) != ld(X_31,mult(X_31,X_34))
| ld(ld(X_31,X_32),mult(ld(X_31,X_32),X_34)) = ld(X_31,mult(X_31,X_34)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(ld(X_31,X_32),mult(ld(X_31,X_32),X_34)),ld(X_31,mult(X_31,X_34))) ),[0],$fot(mult(ld(X_31,mult(X_31,ld(X_34,X_34))),X_34))]]) ).
cnf(refute_0_185,plain,
( ld(ld(X_31,X_32),mult(ld(X_31,X_32),X_34)) != mult(ld(X_31,mult(X_31,ld(X_34,X_34))),X_34)
| ld(ld(X_31,X_32),mult(ld(X_31,X_32),X_34)) = ld(X_31,mult(X_31,X_34)) ),
inference(resolve,[$cnf( $equal(mult(ld(X_31,mult(X_31,ld(X_34,X_34))),X_34),ld(X_31,mult(X_31,X_34))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
ld(ld(X_31,X_32),mult(ld(X_31,X_32),X_34)) = ld(X_31,mult(X_31,X_34)),
inference(resolve,[$cnf( $equal(ld(ld(X_31,X_32),mult(ld(X_31,X_32),X_34)),mult(ld(X_31,mult(X_31,ld(X_34,X_34))),X_34)) )],[refute_0_171,refute_0_185]) ).
cnf(refute_0_187,plain,
ld(ld(mult(X_63,ld(X_76,X_76)),X_75),mult(ld(mult(X_63,ld(X_76,X_76)),X_75),X_76)) = ld(mult(X_63,ld(X_76,X_76)),mult(mult(X_63,ld(X_76,X_76)),X_76)),
inference(subst,[],[refute_0_186:[bind(X_31,$fot(mult(X_63,ld(X_76,X_76)))),bind(X_32,$fot(X_75)),bind(X_34,$fot(X_76))]]) ).
cnf(refute_0_188,plain,
rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(rd(mult(A,B),rd(C,D)),rd(C,D)),
inference(subst,[],[refute_0_12:[bind(A,$fot(mult(A,B))),bind(B,$fot(rd(C,D)))]]) ).
cnf(refute_0_189,plain,
( rd(mult(mult(A,B),rd(C,D)),rd(C,D)) != mult(A,rd(mult(B,D),D))
| rd(mult(mult(A,B),rd(C,D)),rd(C,D)) != mult(rd(mult(A,B),rd(C,D)),rd(C,D))
| mult(rd(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(A,B),rd(C,D)),rd(C,D)),mult(A,rd(mult(B,D),D))) ),[0],$fot(mult(rd(mult(A,B),rd(C,D)),rd(C,D)))]]) ).
cnf(refute_0_190,plain,
( rd(mult(mult(A,B),rd(C,D)),rd(C,D)) != mult(A,rd(mult(B,D),D))
| mult(rd(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)) ),
inference(resolve,[$cnf( $equal(rd(mult(mult(A,B),rd(C,D)),rd(C,D)),mult(rd(mult(A,B),rd(C,D)),rd(C,D))) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
rd(mult(B,D),D) = mult(rd(B,D),D),
inference(subst,[],[refute_0_12:[bind(A,$fot(B)),bind(B,$fot(D))]]) ).
cnf(refute_0_192,plain,
mult(A,rd(mult(B,D),D)) = mult(A,rd(mult(B,D),D)),
introduced(tautology,[refl,[$fot(mult(A,rd(mult(B,D),D)))]]) ).
cnf(refute_0_193,plain,
( mult(A,rd(mult(B,D),D)) != mult(A,rd(mult(B,D),D))
| rd(mult(B,D),D) != mult(rd(B,D),D)
| mult(A,rd(mult(B,D),D)) = mult(A,mult(rd(B,D),D)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,rd(mult(B,D),D)),mult(A,rd(mult(B,D),D))) ),[1,1],$fot(mult(rd(B,D),D))]]) ).
cnf(refute_0_194,plain,
( rd(mult(B,D),D) != mult(rd(B,D),D)
| mult(A,rd(mult(B,D),D)) = mult(A,mult(rd(B,D),D)) ),
inference(resolve,[$cnf( $equal(mult(A,rd(mult(B,D),D)),mult(A,rd(mult(B,D),D))) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
mult(A,rd(mult(B,D),D)) = mult(A,mult(rd(B,D),D)),
inference(resolve,[$cnf( $equal(rd(mult(B,D),D),mult(rd(B,D),D)) )],[refute_0_191,refute_0_194]) ).
cnf(refute_0_196,plain,
( mult(A,rd(mult(B,D),D)) != mult(A,mult(rd(B,D),D))
| mult(rd(mult(A,B),rd(C,D)),rd(C,D)) != mult(A,rd(mult(B,D),D))
| mult(rd(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,mult(rd(B,D),D)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(A,B),rd(C,D)),rd(C,D)),mult(A,rd(mult(B,D),D))) ),[1],$fot(mult(A,mult(rd(B,D),D)))]]) ).
cnf(refute_0_197,plain,
( mult(rd(mult(A,B),rd(C,D)),rd(C,D)) != mult(A,rd(mult(B,D),D))
| mult(rd(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,mult(rd(B,D),D)) ),
inference(resolve,[$cnf( $equal(mult(A,rd(mult(B,D),D)),mult(A,mult(rd(B,D),D))) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
( rd(mult(mult(A,B),rd(C,D)),rd(C,D)) != mult(A,rd(mult(B,D),D))
| mult(rd(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,mult(rd(B,D),D)) ),
inference(resolve,[$cnf( $equal(mult(rd(mult(A,B),rd(C,D)),rd(C,D)),mult(A,rd(mult(B,D),D))) )],[refute_0_190,refute_0_197]) ).
cnf(refute_0_199,plain,
mult(rd(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,mult(rd(B,D),D)),
inference(resolve,[$cnf( $equal(rd(mult(mult(A,B),rd(C,D)),rd(C,D)),mult(A,rd(mult(B,D),D))) )],[f06,refute_0_198]) ).
cnf(refute_0_200,plain,
mult(rd(mult(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56)) = mult(X_53,mult(rd(rd(X_55,X_56),X_56),X_56)),
inference(subst,[],[refute_0_199:[bind(A,$fot(X_53)),bind(B,$fot(rd(X_55,X_56))),bind(C,$fot(X_55)),bind(D,$fot(X_56))]]) ).
cnf(refute_0_201,plain,
mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)) = rd(mult(X_53,rd(X_55,X_56)),rd(X_55,X_56)),
inference(subst,[],[f04:[bind(A,$fot(X_53)),bind(B,$fot(rd(X_55,X_56)))]]) ).
cnf(refute_0_202,plain,
( mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)) != rd(mult(X_53,rd(X_55,X_56)),rd(X_55,X_56))
| rd(mult(X_53,rd(X_55,X_56)),rd(X_55,X_56)) = mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)))),bind(Y,$fot(rd(mult(X_53,rd(X_55,X_56)),rd(X_55,X_56))))]]) ).
cnf(refute_0_203,plain,
rd(mult(X_53,rd(X_55,X_56)),rd(X_55,X_56)) = mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),
inference(resolve,[$cnf( $equal(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(mult(X_53,rd(X_55,X_56)),rd(X_55,X_56))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
( mult(rd(mult(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56)) != mult(X_53,mult(rd(rd(X_55,X_56),X_56),X_56))
| rd(mult(X_53,rd(X_55,X_56)),rd(X_55,X_56)) != mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56))
| mult(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56)) = mult(X_53,mult(rd(rd(X_55,X_56),X_56),X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56)),mult(X_53,mult(rd(rd(X_55,X_56),X_56),X_56))) ),[0,0],$fot(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)))]]) ).
cnf(refute_0_205,plain,
( mult(rd(mult(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56)) != mult(X_53,mult(rd(rd(X_55,X_56),X_56),X_56))
| mult(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56)) = mult(X_53,mult(rd(rd(X_55,X_56),X_56),X_56)) ),
inference(resolve,[$cnf( $equal(rd(mult(X_53,rd(X_55,X_56)),rd(X_55,X_56)),mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56))) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
mult(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56)) = mult(X_53,mult(rd(rd(X_55,X_56),X_56),X_56)),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56)),mult(X_53,mult(rd(rd(X_55,X_56),X_56),X_56))) )],[refute_0_200,refute_0_205]) ).
cnf(refute_0_207,plain,
mult(rd(mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)) = mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56)),
inference(subst,[],[refute_0_199:[bind(A,$fot(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)))),bind(B,$fot(ld(X_27,X_27))),bind(C,$fot(X_55)),bind(D,$fot(X_56))]]) ).
cnf(refute_0_208,plain,
mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,X_27)) = rd(mult(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,X_27)),
inference(subst,[],[f04:[bind(A,$fot(rd(X_27,ld(X_27,X_27)))),bind(B,$fot(ld(X_27,X_27)))]]) ).
cnf(refute_0_209,plain,
mult(rd(X_7,ld(X_7,B)),ld(X_7,B)) = rd(mult(X_7,ld(X_7,B)),ld(X_7,B)),
inference(subst,[],[f04:[bind(A,$fot(X_7)),bind(B,$fot(ld(X_7,B)))]]) ).
cnf(refute_0_210,plain,
mult(X_7,ld(X_7,B)) = ld(X_7,mult(X_7,B)),
inference(subst,[],[f03:[bind(A,$fot(X_7))]]) ).
cnf(refute_0_211,plain,
( mult(X_7,ld(X_7,B)) != ld(X_7,mult(X_7,B))
| mult(rd(X_7,ld(X_7,B)),ld(X_7,B)) != rd(mult(X_7,ld(X_7,B)),ld(X_7,B))
| mult(rd(X_7,ld(X_7,B)),ld(X_7,B)) = rd(ld(X_7,mult(X_7,B)),ld(X_7,B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_7,ld(X_7,B)),ld(X_7,B)),rd(mult(X_7,ld(X_7,B)),ld(X_7,B))) ),[1,0],$fot(ld(X_7,mult(X_7,B)))]]) ).
cnf(refute_0_212,plain,
( mult(rd(X_7,ld(X_7,B)),ld(X_7,B)) != rd(mult(X_7,ld(X_7,B)),ld(X_7,B))
| mult(rd(X_7,ld(X_7,B)),ld(X_7,B)) = rd(ld(X_7,mult(X_7,B)),ld(X_7,B)) ),
inference(resolve,[$cnf( $equal(mult(X_7,ld(X_7,B)),ld(X_7,mult(X_7,B))) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
mult(rd(X_7,ld(X_7,B)),ld(X_7,B)) = rd(ld(X_7,mult(X_7,B)),ld(X_7,B)),
inference(resolve,[$cnf( $equal(mult(rd(X_7,ld(X_7,B)),ld(X_7,B)),rd(mult(X_7,ld(X_7,B)),ld(X_7,B))) )],[refute_0_209,refute_0_212]) ).
cnf(refute_0_214,plain,
mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) = rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),
inference(subst,[],[refute_0_213:[bind(B,$fot(mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),bind(X_7,$fot(X_26))]]) ).
cnf(refute_0_215,plain,
ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))) = ld(X_26,X_26),
inference(subst,[],[refute_0_77:[bind(X_13,$fot(X_26))]]) ).
cnf(refute_0_216,plain,
( ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))) != ld(X_26,X_26)
| mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) != rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))))
| mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) = rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))))) ),[1,1],$fot(ld(X_26,X_26))]]) ).
cnf(refute_0_217,plain,
( mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) != rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))))
| mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) = rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26)) ),
inference(resolve,[$cnf( $equal(ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))),ld(X_26,X_26)) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) = rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26)),
inference(resolve,[$cnf( $equal(mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))))) )],[refute_0_214,refute_0_217]) ).
cnf(refute_0_219,plain,
mult(rd(X_26,ld(X_26,X_26)),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) = mult(rd(X_26,ld(X_26,X_26)),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),
introduced(tautology,[refl,[$fot(mult(rd(X_26,ld(X_26,X_26)),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))))]]) ).
cnf(refute_0_220,plain,
( ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))) != ld(X_26,X_26)
| mult(rd(X_26,ld(X_26,X_26)),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) != mult(rd(X_26,ld(X_26,X_26)),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))))
| mult(rd(X_26,ld(X_26,X_26)),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) = mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_26,ld(X_26,X_26)),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),mult(rd(X_26,ld(X_26,X_26)),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))))) ),[1,1],$fot(ld(X_26,X_26))]]) ).
cnf(refute_0_221,plain,
( ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))) != ld(X_26,X_26)
| mult(rd(X_26,ld(X_26,X_26)),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) = mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_26,ld(X_26,X_26)),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),mult(rd(X_26,ld(X_26,X_26)),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))))) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
mult(rd(X_26,ld(X_26,X_26)),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) = mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)),
inference(resolve,[$cnf( $equal(ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))),ld(X_26,X_26)) )],[refute_0_215,refute_0_221]) ).
cnf(refute_0_223,plain,
rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) = rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),
introduced(tautology,[refl,[$fot(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))))]]) ).
cnf(refute_0_224,plain,
( ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))) != ld(X_26,X_26)
| rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) != rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))))
| rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) = rd(X_26,ld(X_26,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))))) ),[1,1],$fot(ld(X_26,X_26))]]) ).
cnf(refute_0_225,plain,
( ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))) != ld(X_26,X_26)
| rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) = rd(X_26,ld(X_26,X_26)) ),
inference(resolve,[$cnf( $equal(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) = rd(X_26,ld(X_26,X_26)),
inference(resolve,[$cnf( $equal(ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))),ld(X_26,X_26)) )],[refute_0_215,refute_0_225]) ).
cnf(refute_0_227,plain,
mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) = mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),
introduced(tautology,[refl,[$fot(mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))))]]) ).
cnf(refute_0_228,plain,
( mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) != mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))))
| rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) != rd(X_26,ld(X_26,X_26))
| mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) = mult(rd(X_26,ld(X_26,X_26)),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))))) ),[1,0],$fot(rd(X_26,ld(X_26,X_26)))]]) ).
cnf(refute_0_229,plain,
( rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) != rd(X_26,ld(X_26,X_26))
| mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) = mult(rd(X_26,ld(X_26,X_26)),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) = mult(rd(X_26,ld(X_26,X_26)),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),
inference(resolve,[$cnf( $equal(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),rd(X_26,ld(X_26,X_26))) )],[refute_0_226,refute_0_229]) ).
cnf(refute_0_231,plain,
( mult(rd(X_26,ld(X_26,X_26)),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) != mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26))
| mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) != mult(rd(X_26,ld(X_26,X_26)),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))))
| mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) = mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))))),bind(Y,$fot(mult(rd(X_26,ld(X_26,X_26)),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))))),bind(Z,$fot(mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26))))]]) ).
cnf(refute_0_232,plain,
( mult(rd(X_26,ld(X_26,X_26)),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) != mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26))
| mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) = mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),mult(rd(X_26,ld(X_26,X_26)),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26)))))) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) = mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)),
inference(resolve,[$cnf( $equal(mult(rd(X_26,ld(X_26,X_26)),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26))) )],[refute_0_222,refute_0_232]) ).
cnf(refute_0_234,plain,
( mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) != mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26))
| mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) != rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26))
| mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)) = rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26))) ),[0],$fot(mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)))]]) ).
cnf(refute_0_235,plain,
( mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) != rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26))
| mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)) = rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
( A != ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))
| ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))) = A ),
inference(subst,[],[refute_0_10:[bind(X,$fot(A)),bind(Y,$fot(ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))))]]) ).
cnf(refute_0_237,plain,
ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))) = A,
inference(resolve,[$cnf( $equal(A,ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))) )],[refute_0_88,refute_0_236]) ).
cnf(refute_0_238,plain,
ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) = X_26,
inference(subst,[],[refute_0_237:[bind(A,$fot(X_26))]]) ).
cnf(refute_0_239,plain,
rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26)) = rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26)),
introduced(tautology,[refl,[$fot(rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26)))]]) ).
cnf(refute_0_240,plain,
( ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) != X_26
| rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26)) != rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26))
| rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26)) = rd(X_26,ld(X_26,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26)),rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26))) ),[1,0],$fot(X_26)]]) ).
cnf(refute_0_241,plain,
( ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) != X_26
| rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26)) = rd(X_26,ld(X_26,X_26)) ),
inference(resolve,[$cnf( $equal(rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26)),rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26)) = rd(X_26,ld(X_26,X_26)),
inference(resolve,[$cnf( $equal(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),X_26) )],[refute_0_238,refute_0_241]) ).
cnf(refute_0_243,plain,
( mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)) != rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26))
| rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26)) != rd(X_26,ld(X_26,X_26))
| mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)) = rd(X_26,ld(X_26,X_26)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)),rd(X_26,ld(X_26,X_26))) ),[0],$fot(rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26)))]]) ).
cnf(refute_0_244,plain,
( mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)) != rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26))
| mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)) = rd(X_26,ld(X_26,X_26)) ),
inference(resolve,[$cnf( $equal(rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26)),rd(X_26,ld(X_26,X_26))) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
( mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))) != rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26))
| mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)) = rd(X_26,ld(X_26,X_26)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)),rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26))) )],[refute_0_235,refute_0_244]) ).
cnf(refute_0_246,plain,
mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)) = rd(X_26,ld(X_26,X_26)),
inference(resolve,[$cnf( $equal(mult(rd(X_26,ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),rd(ld(X_26,mult(X_26,mult(X_26,ld(ld(X_26,X_26),ld(X_26,X_26))))),ld(X_26,X_26))) )],[refute_0_218,refute_0_245]) ).
cnf(refute_0_247,plain,
mult(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)) = rd(X_27,ld(X_27,X_27)),
inference(subst,[],[refute_0_246:[bind(X_26,$fot(X_27))]]) ).
cnf(refute_0_248,plain,
( mult(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)) != rd(X_27,ld(X_27,X_27))
| mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,X_27)) != rd(mult(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,X_27))
| mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,X_27)) = rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,X_27)),rd(mult(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,X_27))) ),[1,0],$fot(rd(X_27,ld(X_27,X_27)))]]) ).
cnf(refute_0_249,plain,
( mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,X_27)) != rd(mult(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,X_27))
| mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,X_27)) = rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_27,ld(X_27,X_27))) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,X_27)) = rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,X_27)),rd(mult(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,X_27))) )],[refute_0_208,refute_0_249]) ).
cnf(refute_0_251,plain,
( mult(rd(mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)) != mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56))
| mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,X_27)) != rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27))
| mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)) = mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)),mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56))) ),[0,0,0],$fot(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)))]]) ).
cnf(refute_0_252,plain,
( mult(rd(mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)) != mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56))
| mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)) = mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56)) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,X_27)),rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27))) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)) = mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56)),
inference(resolve,[$cnf( $equal(mult(rd(mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)),mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56))) )],[refute_0_207,refute_0_252]) ).
cnf(refute_0_254,plain,
( ld(A,mult(A,ld(B,B))) != mult(rd(ld(A,A),B),B)
| mult(rd(ld(A,A),B),B) = ld(A,mult(A,ld(B,B))) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(ld(A,mult(A,ld(B,B))))),bind(Y,$fot(mult(rd(ld(A,A),B),B)))]]) ).
cnf(refute_0_255,plain,
mult(rd(ld(A,A),B),B) = ld(A,mult(A,ld(B,B))),
inference(resolve,[$cnf( $equal(ld(A,mult(A,ld(B,B))),mult(rd(ld(A,A),B),B)) )],[refute_0_59,refute_0_254]) ).
cnf(refute_0_256,plain,
mult(rd(ld(X_27,X_27),X_56),X_56) = ld(X_27,mult(X_27,ld(X_56,X_56))),
inference(subst,[],[refute_0_255:[bind(A,$fot(X_27)),bind(B,$fot(X_56))]]) ).
cnf(refute_0_257,plain,
mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56)) = mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56)),
introduced(tautology,[refl,[$fot(mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56)))]]) ).
cnf(refute_0_258,plain,
( mult(rd(ld(X_27,X_27),X_56),X_56) != ld(X_27,mult(X_27,ld(X_56,X_56)))
| mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56)) != mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56))
| mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56)) = mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56)),mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56))) ),[1,1],$fot(ld(X_27,mult(X_27,ld(X_56,X_56))))]]) ).
cnf(refute_0_259,plain,
( mult(rd(ld(X_27,X_27),X_56),X_56) != ld(X_27,mult(X_27,ld(X_56,X_56)))
| mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56)) = mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56)),mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56)) = mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))),
inference(resolve,[$cnf( $equal(mult(rd(ld(X_27,X_27),X_56),X_56),ld(X_27,mult(X_27,ld(X_56,X_56)))) )],[refute_0_256,refute_0_259]) ).
cnf(refute_0_261,plain,
( mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56)) != mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56))))
| mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)) != mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56))
| mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)) = mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)),mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56))) ),[1],$fot(mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))))]]) ).
cnf(refute_0_262,plain,
( mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)) != mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56))
| mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)) = mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56)),mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56))))) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)) = mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))),
inference(resolve,[$cnf( $equal(mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)),mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),mult(rd(ld(X_27,X_27),X_56),X_56))) )],[refute_0_253,refute_0_262]) ).
cnf(refute_0_264,plain,
mult(ld(X_26,X_26),X_26) = X_26,
inference(subst,[],[refute_0_73:[bind(A,$fot(X_26))]]) ).
cnf(refute_0_265,plain,
rd(X_26,X_26) = ld(X_26,X_26),
inference(subst,[],[refute_0_47:[bind(X_8,$fot(X_26))]]) ).
cnf(refute_0_266,plain,
mult(rd(X_26,X_26),X_26) = mult(rd(X_26,X_26),X_26),
introduced(tautology,[refl,[$fot(mult(rd(X_26,X_26),X_26))]]) ).
cnf(refute_0_267,plain,
( mult(rd(X_26,X_26),X_26) != mult(rd(X_26,X_26),X_26)
| rd(X_26,X_26) != ld(X_26,X_26)
| mult(rd(X_26,X_26),X_26) = mult(ld(X_26,X_26),X_26) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_26,X_26),X_26),mult(rd(X_26,X_26),X_26)) ),[1,0],$fot(ld(X_26,X_26))]]) ).
cnf(refute_0_268,plain,
( rd(X_26,X_26) != ld(X_26,X_26)
| mult(rd(X_26,X_26),X_26) = mult(ld(X_26,X_26),X_26) ),
inference(resolve,[$cnf( $equal(mult(rd(X_26,X_26),X_26),mult(rd(X_26,X_26),X_26)) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
mult(rd(X_26,X_26),X_26) = mult(ld(X_26,X_26),X_26),
inference(resolve,[$cnf( $equal(rd(X_26,X_26),ld(X_26,X_26)) )],[refute_0_265,refute_0_268]) ).
cnf(refute_0_270,plain,
( mult(ld(X_26,X_26),X_26) != X_26
| mult(rd(X_26,X_26),X_26) != mult(ld(X_26,X_26),X_26)
| mult(rd(X_26,X_26),X_26) = X_26 ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(rd(X_26,X_26),X_26))),bind(Y,$fot(mult(ld(X_26,X_26),X_26))),bind(Z,$fot(X_26))]]) ).
cnf(refute_0_271,plain,
( mult(ld(X_26,X_26),X_26) != X_26
| mult(rd(X_26,X_26),X_26) = X_26 ),
inference(resolve,[$cnf( $equal(mult(rd(X_26,X_26),X_26),mult(ld(X_26,X_26),X_26)) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
mult(rd(X_26,X_26),X_26) = X_26,
inference(resolve,[$cnf( $equal(mult(ld(X_26,X_26),X_26),X_26) )],[refute_0_264,refute_0_271]) ).
cnf(refute_0_273,plain,
mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26)) = mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26)),
introduced(tautology,[refl,[$fot(mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26)))]]) ).
cnf(refute_0_274,plain,
( mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26)) != mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26))
| mult(rd(X_26,X_26),X_26) != X_26
| mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26)) = mult(ld(X_26,X_26),X_26) ),
introduced(tautology,[equality,[$cnf( $equal(mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26)),mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26))) ),[1,1],$fot(X_26)]]) ).
cnf(refute_0_275,plain,
( mult(rd(X_26,X_26),X_26) != X_26
| mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26)) = mult(ld(X_26,X_26),X_26) ),
inference(resolve,[$cnf( $equal(mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26)),mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26))) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26)) = mult(ld(X_26,X_26),X_26),
inference(resolve,[$cnf( $equal(mult(rd(X_26,X_26),X_26),X_26) )],[refute_0_272,refute_0_275]) ).
cnf(refute_0_277,plain,
( mult(ld(X_26,X_26),X_26) != X_26
| mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26)) != mult(ld(X_26,X_26),X_26)
| mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26)) = X_26 ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26)))),bind(Y,$fot(mult(ld(X_26,X_26),X_26))),bind(Z,$fot(X_26))]]) ).
cnf(refute_0_278,plain,
( mult(ld(X_26,X_26),X_26) != X_26
| mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26)) = X_26 ),
inference(resolve,[$cnf( $equal(mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26)),mult(ld(X_26,X_26),X_26)) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26)) = X_26,
inference(resolve,[$cnf( $equal(mult(ld(X_26,X_26),X_26),X_26) )],[refute_0_264,refute_0_278]) ).
cnf(refute_0_280,plain,
mult(rd(mult(X_53,X_54),rd(X_56,X_56)),rd(X_56,X_56)) = mult(X_53,mult(rd(X_54,X_56),X_56)),
inference(subst,[],[refute_0_199:[bind(A,$fot(X_53)),bind(B,$fot(X_54)),bind(C,$fot(X_56)),bind(D,$fot(X_56))]]) ).
cnf(refute_0_281,plain,
ld(X_56,X_56) = rd(X_56,X_56),
inference(subst,[],[refute_0_45:[bind(X_8,$fot(X_56))]]) ).
cnf(refute_0_282,plain,
( ld(X_56,X_56) != rd(X_56,X_56)
| rd(X_56,X_56) = ld(X_56,X_56) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(ld(X_56,X_56))),bind(Y,$fot(rd(X_56,X_56)))]]) ).
cnf(refute_0_283,plain,
rd(X_56,X_56) = ld(X_56,X_56),
inference(resolve,[$cnf( $equal(ld(X_56,X_56),rd(X_56,X_56)) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
( mult(rd(mult(X_53,X_54),rd(X_56,X_56)),rd(X_56,X_56)) != mult(X_53,mult(rd(X_54,X_56),X_56))
| rd(X_56,X_56) != ld(X_56,X_56)
| mult(rd(mult(X_53,X_54),rd(X_56,X_56)),ld(X_56,X_56)) = mult(X_53,mult(rd(X_54,X_56),X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_53,X_54),rd(X_56,X_56)),rd(X_56,X_56)),mult(X_53,mult(rd(X_54,X_56),X_56))) ),[0,1],$fot(ld(X_56,X_56))]]) ).
cnf(refute_0_285,plain,
( mult(rd(mult(X_53,X_54),rd(X_56,X_56)),rd(X_56,X_56)) != mult(X_53,mult(rd(X_54,X_56),X_56))
| mult(rd(mult(X_53,X_54),rd(X_56,X_56)),ld(X_56,X_56)) = mult(X_53,mult(rd(X_54,X_56),X_56)) ),
inference(resolve,[$cnf( $equal(rd(X_56,X_56),ld(X_56,X_56)) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
mult(rd(mult(X_53,X_54),rd(X_56,X_56)),ld(X_56,X_56)) = mult(X_53,mult(rd(X_54,X_56),X_56)),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_53,X_54),rd(X_56,X_56)),rd(X_56,X_56)),mult(X_53,mult(rd(X_54,X_56),X_56))) )],[refute_0_280,refute_0_285]) ).
cnf(refute_0_287,plain,
rd(mult(X_53,X_54),rd(X_56,X_56)) = rd(mult(X_53,X_54),rd(X_56,X_56)),
introduced(tautology,[refl,[$fot(rd(mult(X_53,X_54),rd(X_56,X_56)))]]) ).
cnf(refute_0_288,plain,
( rd(X_56,X_56) != ld(X_56,X_56)
| rd(mult(X_53,X_54),rd(X_56,X_56)) != rd(mult(X_53,X_54),rd(X_56,X_56))
| rd(mult(X_53,X_54),rd(X_56,X_56)) = rd(mult(X_53,X_54),ld(X_56,X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_53,X_54),rd(X_56,X_56)),rd(mult(X_53,X_54),rd(X_56,X_56))) ),[1,1],$fot(ld(X_56,X_56))]]) ).
cnf(refute_0_289,plain,
( rd(X_56,X_56) != ld(X_56,X_56)
| rd(mult(X_53,X_54),rd(X_56,X_56)) = rd(mult(X_53,X_54),ld(X_56,X_56)) ),
inference(resolve,[$cnf( $equal(rd(mult(X_53,X_54),rd(X_56,X_56)),rd(mult(X_53,X_54),rd(X_56,X_56))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
rd(mult(X_53,X_54),rd(X_56,X_56)) = rd(mult(X_53,X_54),ld(X_56,X_56)),
inference(resolve,[$cnf( $equal(rd(X_56,X_56),ld(X_56,X_56)) )],[refute_0_283,refute_0_289]) ).
cnf(refute_0_291,plain,
mult(rd(mult(X_53,X_54),rd(X_56,X_56)),ld(X_56,X_56)) = mult(rd(mult(X_53,X_54),rd(X_56,X_56)),ld(X_56,X_56)),
introduced(tautology,[refl,[$fot(mult(rd(mult(X_53,X_54),rd(X_56,X_56)),ld(X_56,X_56)))]]) ).
cnf(refute_0_292,plain,
( mult(rd(mult(X_53,X_54),rd(X_56,X_56)),ld(X_56,X_56)) != mult(rd(mult(X_53,X_54),rd(X_56,X_56)),ld(X_56,X_56))
| rd(mult(X_53,X_54),rd(X_56,X_56)) != rd(mult(X_53,X_54),ld(X_56,X_56))
| mult(rd(mult(X_53,X_54),rd(X_56,X_56)),ld(X_56,X_56)) = mult(rd(mult(X_53,X_54),ld(X_56,X_56)),ld(X_56,X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_53,X_54),rd(X_56,X_56)),ld(X_56,X_56)),mult(rd(mult(X_53,X_54),rd(X_56,X_56)),ld(X_56,X_56))) ),[1,0],$fot(rd(mult(X_53,X_54),ld(X_56,X_56)))]]) ).
cnf(refute_0_293,plain,
( rd(mult(X_53,X_54),rd(X_56,X_56)) != rd(mult(X_53,X_54),ld(X_56,X_56))
| mult(rd(mult(X_53,X_54),rd(X_56,X_56)),ld(X_56,X_56)) = mult(rd(mult(X_53,X_54),ld(X_56,X_56)),ld(X_56,X_56)) ),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_53,X_54),rd(X_56,X_56)),ld(X_56,X_56)),mult(rd(mult(X_53,X_54),rd(X_56,X_56)),ld(X_56,X_56))) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
mult(rd(mult(X_53,X_54),rd(X_56,X_56)),ld(X_56,X_56)) = mult(rd(mult(X_53,X_54),ld(X_56,X_56)),ld(X_56,X_56)),
inference(resolve,[$cnf( $equal(rd(mult(X_53,X_54),rd(X_56,X_56)),rd(mult(X_53,X_54),ld(X_56,X_56))) )],[refute_0_290,refute_0_293]) ).
cnf(refute_0_295,plain,
( mult(rd(mult(X_53,X_54),rd(X_56,X_56)),ld(X_56,X_56)) != mult(X_53,mult(rd(X_54,X_56),X_56))
| mult(rd(mult(X_53,X_54),rd(X_56,X_56)),ld(X_56,X_56)) != mult(rd(mult(X_53,X_54),ld(X_56,X_56)),ld(X_56,X_56))
| mult(rd(mult(X_53,X_54),ld(X_56,X_56)),ld(X_56,X_56)) = mult(X_53,mult(rd(X_54,X_56),X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_53,X_54),rd(X_56,X_56)),ld(X_56,X_56)),mult(X_53,mult(rd(X_54,X_56),X_56))) ),[0],$fot(mult(rd(mult(X_53,X_54),ld(X_56,X_56)),ld(X_56,X_56)))]]) ).
cnf(refute_0_296,plain,
( mult(rd(mult(X_53,X_54),rd(X_56,X_56)),ld(X_56,X_56)) != mult(X_53,mult(rd(X_54,X_56),X_56))
| mult(rd(mult(X_53,X_54),ld(X_56,X_56)),ld(X_56,X_56)) = mult(X_53,mult(rd(X_54,X_56),X_56)) ),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_53,X_54),rd(X_56,X_56)),ld(X_56,X_56)),mult(rd(mult(X_53,X_54),ld(X_56,X_56)),ld(X_56,X_56))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
mult(rd(mult(X_53,X_54),ld(X_56,X_56)),ld(X_56,X_56)) = mult(X_53,mult(rd(X_54,X_56),X_56)),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_53,X_54),rd(X_56,X_56)),ld(X_56,X_56)),mult(X_53,mult(rd(X_54,X_56),X_56))) )],[refute_0_286,refute_0_296]) ).
cnf(refute_0_298,plain,
mult(rd(mult(ld(X_58,X_58),X_58),ld(X_59,X_59)),ld(X_59,X_59)) = mult(ld(X_58,X_58),mult(rd(X_58,X_59),X_59)),
inference(subst,[],[refute_0_297:[bind(X_53,$fot(ld(X_58,X_58))),bind(X_54,$fot(X_58)),bind(X_56,$fot(X_59))]]) ).
cnf(refute_0_299,plain,
mult(ld(X_58,X_58),X_58) = X_58,
inference(subst,[],[refute_0_73:[bind(A,$fot(X_58))]]) ).
cnf(refute_0_300,plain,
( mult(ld(X_58,X_58),X_58) != X_58
| mult(rd(mult(ld(X_58,X_58),X_58),ld(X_59,X_59)),ld(X_59,X_59)) != mult(ld(X_58,X_58),mult(rd(X_58,X_59),X_59))
| mult(rd(X_58,ld(X_59,X_59)),ld(X_59,X_59)) = mult(ld(X_58,X_58),mult(rd(X_58,X_59),X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(ld(X_58,X_58),X_58),ld(X_59,X_59)),ld(X_59,X_59)),mult(ld(X_58,X_58),mult(rd(X_58,X_59),X_59))) ),[0,0,0],$fot(X_58)]]) ).
cnf(refute_0_301,plain,
( mult(rd(mult(ld(X_58,X_58),X_58),ld(X_59,X_59)),ld(X_59,X_59)) != mult(ld(X_58,X_58),mult(rd(X_58,X_59),X_59))
| mult(rd(X_58,ld(X_59,X_59)),ld(X_59,X_59)) = mult(ld(X_58,X_58),mult(rd(X_58,X_59),X_59)) ),
inference(resolve,[$cnf( $equal(mult(ld(X_58,X_58),X_58),X_58) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
mult(rd(X_58,ld(X_59,X_59)),ld(X_59,X_59)) = mult(ld(X_58,X_58),mult(rd(X_58,X_59),X_59)),
inference(resolve,[$cnf( $equal(mult(rd(mult(ld(X_58,X_58),X_58),ld(X_59,X_59)),ld(X_59,X_59)),mult(ld(X_58,X_58),mult(rd(X_58,X_59),X_59))) )],[refute_0_298,refute_0_301]) ).
cnf(refute_0_303,plain,
mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)) = mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26)),
inference(subst,[],[refute_0_302:[bind(X_58,$fot(X_26)),bind(X_59,$fot(X_26))]]) ).
cnf(refute_0_304,plain,
( mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26)) != X_26
| mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)) != mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26))
| mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)) = X_26 ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)))),bind(Y,$fot(mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26)))),bind(Z,$fot(X_26))]]) ).
cnf(refute_0_305,plain,
( mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26)) != X_26
| mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)) = X_26 ),
inference(resolve,[$cnf( $equal(mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)),mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)) = X_26,
inference(resolve,[$cnf( $equal(mult(ld(X_26,X_26),mult(rd(X_26,X_26),X_26)),X_26) )],[refute_0_279,refute_0_305]) ).
cnf(refute_0_307,plain,
( mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)) != X_26
| mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)) != rd(X_26,ld(X_26,X_26))
| X_26 = rd(X_26,ld(X_26,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)),rd(X_26,ld(X_26,X_26))) ),[0],$fot(X_26)]]) ).
cnf(refute_0_308,plain,
( mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)) != rd(X_26,ld(X_26,X_26))
| X_26 = rd(X_26,ld(X_26,X_26)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)),X_26) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
X_26 = rd(X_26,ld(X_26,X_26)),
inference(resolve,[$cnf( $equal(mult(rd(X_26,ld(X_26,X_26)),ld(X_26,X_26)),rd(X_26,ld(X_26,X_26))) )],[refute_0_246,refute_0_308]) ).
cnf(refute_0_310,plain,
( X_26 != rd(X_26,ld(X_26,X_26))
| rd(X_26,ld(X_26,X_26)) = X_26 ),
inference(subst,[],[refute_0_10:[bind(X,$fot(X_26)),bind(Y,$fot(rd(X_26,ld(X_26,X_26))))]]) ).
cnf(refute_0_311,plain,
rd(X_26,ld(X_26,X_26)) = X_26,
inference(resolve,[$cnf( $equal(X_26,rd(X_26,ld(X_26,X_26))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
rd(X_27,ld(X_27,X_27)) = X_27,
inference(subst,[],[refute_0_311:[bind(X_26,$fot(X_27))]]) ).
cnf(refute_0_313,plain,
rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)) = rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),
introduced(tautology,[refl,[$fot(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)))]]) ).
cnf(refute_0_314,plain,
( rd(X_27,ld(X_27,X_27)) != X_27
| rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)) != rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27))
| rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)) = rd(X_27,ld(X_27,X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27))) ),[1,0],$fot(X_27)]]) ).
cnf(refute_0_315,plain,
( rd(X_27,ld(X_27,X_27)) != X_27
| rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)) = rd(X_27,ld(X_27,X_27)) ),
inference(resolve,[$cnf( $equal(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)) = rd(X_27,ld(X_27,X_27)),
inference(resolve,[$cnf( $equal(rd(X_27,ld(X_27,X_27)),X_27) )],[refute_0_312,refute_0_315]) ).
cnf(refute_0_317,plain,
( rd(X_27,ld(X_27,X_27)) != X_27
| rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)) != rd(X_27,ld(X_27,X_27))
| rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)) = X_27 ),
inference(subst,[],[refute_0_29:[bind(X,$fot(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)))),bind(Y,$fot(rd(X_27,ld(X_27,X_27)))),bind(Z,$fot(X_27))]]) ).
cnf(refute_0_318,plain,
( rd(X_27,ld(X_27,X_27)) != X_27
| rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)) = X_27 ),
inference(resolve,[$cnf( $equal(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_27,ld(X_27,X_27))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)) = X_27,
inference(resolve,[$cnf( $equal(rd(X_27,ld(X_27,X_27)),X_27) )],[refute_0_312,refute_0_318]) ).
cnf(refute_0_320,plain,
rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)) = rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),
introduced(tautology,[refl,[$fot(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)))]]) ).
cnf(refute_0_321,plain,
( rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)) != X_27
| rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)) != rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56))
| rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)) = rd(X_27,rd(X_55,X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56))) ),[1,0],$fot(X_27)]]) ).
cnf(refute_0_322,plain,
( rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)) != X_27
| rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)) = rd(X_27,rd(X_55,X_56)) ),
inference(resolve,[$cnf( $equal(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)) = rd(X_27,rd(X_55,X_56)),
inference(resolve,[$cnf( $equal(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),X_27) )],[refute_0_319,refute_0_322]) ).
cnf(refute_0_324,plain,
mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)) = mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)),
introduced(tautology,[refl,[$fot(mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)))]]) ).
cnf(refute_0_325,plain,
( mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)) != mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56))
| rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)) != rd(X_27,rd(X_55,X_56))
| mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)) = mult(rd(X_27,rd(X_55,X_56)),rd(X_55,X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)),mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56))) ),[1,0],$fot(rd(X_27,rd(X_55,X_56)))]]) ).
cnf(refute_0_326,plain,
( rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)) != rd(X_27,rd(X_55,X_56))
| mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)) = mult(rd(X_27,rd(X_55,X_56)),rd(X_55,X_56)) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)),mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)) = mult(rd(X_27,rd(X_55,X_56)),rd(X_55,X_56)),
inference(resolve,[$cnf( $equal(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_27,rd(X_55,X_56))) )],[refute_0_323,refute_0_326]) ).
cnf(refute_0_328,plain,
( mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)) != mult(rd(X_27,rd(X_55,X_56)),rd(X_55,X_56))
| mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)) != mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56))))
| mult(rd(X_27,rd(X_55,X_56)),rd(X_55,X_56)) = mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)),mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56))))) ),[0],$fot(mult(rd(X_27,rd(X_55,X_56)),rd(X_55,X_56)))]]) ).
cnf(refute_0_329,plain,
( mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)) != mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56))))
| mult(rd(X_27,rd(X_55,X_56)),rd(X_55,X_56)) = mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)),mult(rd(X_27,rd(X_55,X_56)),rd(X_55,X_56))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
ld(X_27,mult(X_27,mult(X_27,ld(X_56,X_56)))) = mult(X_27,ld(X_56,X_56)),
inference(subst,[],[refute_0_134:[bind(X_33,$fot(X_27)),bind(X_34,$fot(ld(X_56,X_56)))]]) ).
cnf(refute_0_331,plain,
mult(X_27,ld(X_27,mult(X_27,ld(X_56,X_56)))) = ld(X_27,mult(X_27,mult(X_27,ld(X_56,X_56)))),
inference(subst,[],[f03:[bind(A,$fot(X_27)),bind(B,$fot(mult(X_27,ld(X_56,X_56))))]]) ).
cnf(refute_0_332,plain,
( ld(X_27,mult(X_27,mult(X_27,ld(X_56,X_56)))) != mult(X_27,ld(X_56,X_56))
| mult(X_27,ld(X_27,mult(X_27,ld(X_56,X_56)))) != ld(X_27,mult(X_27,mult(X_27,ld(X_56,X_56))))
| mult(X_27,ld(X_27,mult(X_27,ld(X_56,X_56)))) = mult(X_27,ld(X_56,X_56)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(X_27,ld(X_27,mult(X_27,ld(X_56,X_56)))))),bind(Y,$fot(ld(X_27,mult(X_27,mult(X_27,ld(X_56,X_56)))))),bind(Z,$fot(mult(X_27,ld(X_56,X_56))))]]) ).
cnf(refute_0_333,plain,
( ld(X_27,mult(X_27,mult(X_27,ld(X_56,X_56)))) != mult(X_27,ld(X_56,X_56))
| mult(X_27,ld(X_27,mult(X_27,ld(X_56,X_56)))) = mult(X_27,ld(X_56,X_56)) ),
inference(resolve,[$cnf( $equal(mult(X_27,ld(X_27,mult(X_27,ld(X_56,X_56)))),ld(X_27,mult(X_27,mult(X_27,ld(X_56,X_56))))) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
mult(X_27,ld(X_27,mult(X_27,ld(X_56,X_56)))) = mult(X_27,ld(X_56,X_56)),
inference(resolve,[$cnf( $equal(ld(X_27,mult(X_27,mult(X_27,ld(X_56,X_56)))),mult(X_27,ld(X_56,X_56))) )],[refute_0_330,refute_0_333]) ).
cnf(refute_0_335,plain,
mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))) = mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))),
introduced(tautology,[refl,[$fot(mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))))]]) ).
cnf(refute_0_336,plain,
( mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))) != mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56))))
| rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)) != X_27
| mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))) = mult(X_27,ld(X_27,mult(X_27,ld(X_56,X_56)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))),mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56))))) ),[1,0],$fot(X_27)]]) ).
cnf(refute_0_337,plain,
( rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)) != X_27
| mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))) = mult(X_27,ld(X_27,mult(X_27,ld(X_56,X_56)))) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))),mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56))))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))) = mult(X_27,ld(X_27,mult(X_27,ld(X_56,X_56)))),
inference(resolve,[$cnf( $equal(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),X_27) )],[refute_0_319,refute_0_337]) ).
cnf(refute_0_339,plain,
( mult(X_27,ld(X_27,mult(X_27,ld(X_56,X_56)))) != mult(X_27,ld(X_56,X_56))
| mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))) != mult(X_27,ld(X_27,mult(X_27,ld(X_56,X_56))))
| mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))) = mult(X_27,ld(X_56,X_56)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))))),bind(Y,$fot(mult(X_27,ld(X_27,mult(X_27,ld(X_56,X_56)))))),bind(Z,$fot(mult(X_27,ld(X_56,X_56))))]]) ).
cnf(refute_0_340,plain,
( mult(X_27,ld(X_27,mult(X_27,ld(X_56,X_56)))) != mult(X_27,ld(X_56,X_56))
| mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))) = mult(X_27,ld(X_56,X_56)) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))),mult(X_27,ld(X_27,mult(X_27,ld(X_56,X_56))))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))) = mult(X_27,ld(X_56,X_56)),
inference(resolve,[$cnf( $equal(mult(X_27,ld(X_27,mult(X_27,ld(X_56,X_56)))),mult(X_27,ld(X_56,X_56))) )],[refute_0_334,refute_0_340]) ).
cnf(refute_0_342,plain,
( mult(rd(X_27,rd(X_55,X_56)),rd(X_55,X_56)) != mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56))))
| mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))) != mult(X_27,ld(X_56,X_56))
| mult(rd(X_27,rd(X_55,X_56)),rd(X_55,X_56)) = mult(X_27,ld(X_56,X_56)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(rd(X_27,rd(X_55,X_56)),rd(X_55,X_56)),mult(X_27,ld(X_56,X_56))) ),[0],$fot(mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))))]]) ).
cnf(refute_0_343,plain,
( mult(rd(X_27,rd(X_55,X_56)),rd(X_55,X_56)) != mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56))))
| mult(rd(X_27,rd(X_55,X_56)),rd(X_55,X_56)) = mult(X_27,ld(X_56,X_56)) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56)))),mult(X_27,ld(X_56,X_56))) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
( mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)) != mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56))))
| mult(rd(X_27,rd(X_55,X_56)),rd(X_55,X_56)) = mult(X_27,ld(X_56,X_56)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_27,rd(X_55,X_56)),rd(X_55,X_56)),mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56))))) )],[refute_0_329,refute_0_343]) ).
cnf(refute_0_345,plain,
mult(rd(X_27,rd(X_55,X_56)),rd(X_55,X_56)) = mult(X_27,ld(X_56,X_56)),
inference(resolve,[$cnf( $equal(mult(rd(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),rd(X_55,X_56)),rd(X_55,X_56)),mult(rd(rd(X_27,ld(X_27,X_27)),ld(X_27,X_27)),ld(X_27,mult(X_27,ld(X_56,X_56))))) )],[refute_0_263,refute_0_344]) ).
cnf(refute_0_346,plain,
mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)) = mult(X_53,ld(X_56,X_56)),
inference(subst,[],[refute_0_345:[bind(X_27,$fot(X_53))]]) ).
cnf(refute_0_347,plain,
mult(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56)) = mult(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56)),
introduced(tautology,[refl,[$fot(mult(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56)))]]) ).
cnf(refute_0_348,plain,
( mult(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56)) != mult(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56))
| mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)) != mult(X_53,ld(X_56,X_56))
| mult(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56)) = mult(mult(X_53,ld(X_56,X_56)),rd(X_55,X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56)),mult(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56))) ),[1,0],$fot(mult(X_53,ld(X_56,X_56)))]]) ).
cnf(refute_0_349,plain,
( mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)) != mult(X_53,ld(X_56,X_56))
| mult(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56)) = mult(mult(X_53,ld(X_56,X_56)),rd(X_55,X_56)) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56)),mult(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
mult(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56)) = mult(mult(X_53,ld(X_56,X_56)),rd(X_55,X_56)),
inference(resolve,[$cnf( $equal(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),mult(X_53,ld(X_56,X_56))) )],[refute_0_346,refute_0_349]) ).
cnf(refute_0_351,plain,
( mult(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56)) != mult(X_53,mult(rd(rd(X_55,X_56),X_56),X_56))
| mult(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56)) != mult(mult(X_53,ld(X_56,X_56)),rd(X_55,X_56))
| mult(mult(X_53,ld(X_56,X_56)),rd(X_55,X_56)) = mult(X_53,mult(rd(rd(X_55,X_56),X_56),X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56)),mult(X_53,mult(rd(rd(X_55,X_56),X_56),X_56))) ),[0],$fot(mult(mult(X_53,ld(X_56,X_56)),rd(X_55,X_56)))]]) ).
cnf(refute_0_352,plain,
( mult(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56)) != mult(X_53,mult(rd(rd(X_55,X_56),X_56),X_56))
| mult(mult(X_53,ld(X_56,X_56)),rd(X_55,X_56)) = mult(X_53,mult(rd(rd(X_55,X_56),X_56),X_56)) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56)),mult(mult(X_53,ld(X_56,X_56)),rd(X_55,X_56))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
mult(mult(X_53,ld(X_56,X_56)),rd(X_55,X_56)) = mult(X_53,mult(rd(rd(X_55,X_56),X_56),X_56)),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_53,rd(X_55,X_56)),rd(X_55,X_56)),rd(X_55,X_56)),mult(X_53,mult(rd(rd(X_55,X_56),X_56),X_56))) )],[refute_0_206,refute_0_352]) ).
cnf(refute_0_354,plain,
mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(ld(X_13,X_13),ld(X_13,X_13))) = mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13))),
inference(subst,[],[refute_0_297:[bind(X_53,$fot(X_57)),bind(X_54,$fot(X_58)),bind(X_56,$fot(ld(X_13,X_13)))]]) ).
cnf(refute_0_355,plain,
mult(rd(rd(ld(X_13,X_13),B),B),B) = rd(mult(rd(ld(X_13,X_13),B),B),B),
inference(subst,[],[f04:[bind(A,$fot(rd(ld(X_13,X_13),B)))]]) ).
cnf(refute_0_356,plain,
ld(X_13,mult(X_13,ld(B,B))) = mult(rd(ld(X_13,X_13),B),B),
inference(subst,[],[refute_0_59:[bind(A,$fot(X_13))]]) ).
cnf(refute_0_357,plain,
( ld(X_13,mult(X_13,ld(B,B))) != mult(rd(ld(X_13,X_13),B),B)
| mult(rd(ld(X_13,X_13),B),B) = ld(X_13,mult(X_13,ld(B,B))) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(ld(X_13,mult(X_13,ld(B,B))))),bind(Y,$fot(mult(rd(ld(X_13,X_13),B),B)))]]) ).
cnf(refute_0_358,plain,
mult(rd(ld(X_13,X_13),B),B) = ld(X_13,mult(X_13,ld(B,B))),
inference(resolve,[$cnf( $equal(ld(X_13,mult(X_13,ld(B,B))),mult(rd(ld(X_13,X_13),B),B)) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
( mult(rd(ld(X_13,X_13),B),B) != ld(X_13,mult(X_13,ld(B,B)))
| mult(rd(rd(ld(X_13,X_13),B),B),B) != rd(mult(rd(ld(X_13,X_13),B),B),B)
| mult(rd(rd(ld(X_13,X_13),B),B),B) = rd(ld(X_13,mult(X_13,ld(B,B))),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(ld(X_13,X_13),B),B),B),rd(mult(rd(ld(X_13,X_13),B),B),B)) ),[1,0],$fot(ld(X_13,mult(X_13,ld(B,B))))]]) ).
cnf(refute_0_360,plain,
( mult(rd(rd(ld(X_13,X_13),B),B),B) != rd(mult(rd(ld(X_13,X_13),B),B),B)
| mult(rd(rd(ld(X_13,X_13),B),B),B) = rd(ld(X_13,mult(X_13,ld(B,B))),B) ),
inference(resolve,[$cnf( $equal(mult(rd(ld(X_13,X_13),B),B),ld(X_13,mult(X_13,ld(B,B)))) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
mult(rd(rd(ld(X_13,X_13),B),B),B) = rd(ld(X_13,mult(X_13,ld(B,B))),B),
inference(resolve,[$cnf( $equal(mult(rd(rd(ld(X_13,X_13),B),B),B),rd(mult(rd(ld(X_13,X_13),B),B),B)) )],[refute_0_355,refute_0_360]) ).
cnf(refute_0_362,plain,
mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = rd(ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))),ld(X_13,X_13)),
inference(subst,[],[refute_0_361:[bind(B,$fot(ld(X_13,X_13)))]]) ).
cnf(refute_0_363,plain,
X_13 = mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13))),
inference(subst,[],[refute_0_138:[bind(A,$fot(X_13))]]) ).
cnf(refute_0_364,plain,
( X_13 != mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))
| mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13))) = X_13 ),
inference(subst,[],[refute_0_10:[bind(X,$fot(X_13)),bind(Y,$fot(mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))))]]) ).
cnf(refute_0_365,plain,
mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13))) = X_13,
inference(resolve,[$cnf( $equal(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
( mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13))) != X_13
| mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) != rd(ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))),ld(X_13,X_13))
| mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = rd(ld(X_13,X_13),ld(X_13,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),rd(ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))),ld(X_13,X_13))) ),[1,0,1],$fot(X_13)]]) ).
cnf(refute_0_367,plain,
( mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) != rd(ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))),ld(X_13,X_13))
| mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = rd(ld(X_13,X_13),ld(X_13,X_13)) ),
inference(resolve,[$cnf( $equal(mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13))),X_13) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = rd(ld(X_13,X_13),ld(X_13,X_13)),
inference(resolve,[$cnf( $equal(mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),rd(ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))),ld(X_13,X_13))) )],[refute_0_362,refute_0_367]) ).
cnf(refute_0_369,plain,
ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))) = ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))),
inference(subst,[],[refute_0_186:[bind(X_31,$fot(X_13)),bind(X_32,$fot(X_13)),bind(X_34,$fot(ld(ld(X_13,X_13),ld(X_13,X_13))))]]) ).
cnf(refute_0_370,plain,
( ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) != ld(X_13,X_13)
| ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))) != ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13))))
| ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))) = ld(X_13,X_13) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))))),bind(Y,$fot(ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))))),bind(Z,$fot(ld(X_13,X_13)))]]) ).
cnf(refute_0_371,plain,
( ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) != ld(X_13,X_13)
| ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))) = ld(X_13,X_13) ),
inference(resolve,[$cnf( $equal(ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))),ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13))))) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))) = ld(X_13,X_13),
inference(resolve,[$cnf( $equal(ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))),ld(X_13,X_13)) )],[refute_0_77,refute_0_371]) ).
cnf(refute_0_373,plain,
mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))),
inference(subst,[],[refute_0_255:[bind(A,$fot(ld(X_13,X_13))),bind(B,$fot(ld(X_13,X_13)))]]) ).
cnf(refute_0_374,plain,
( ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))) != ld(X_13,X_13)
| mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) != ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13))))
| mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = ld(X_13,X_13) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)))),bind(Y,$fot(ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))))),bind(Z,$fot(ld(X_13,X_13)))]]) ).
cnf(refute_0_375,plain,
( ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))) != ld(X_13,X_13)
| mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = ld(X_13,X_13) ),
inference(resolve,[$cnf( $equal(mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13))))) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = ld(X_13,X_13),
inference(resolve,[$cnf( $equal(ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))),ld(X_13,X_13)) )],[refute_0_372,refute_0_375]) ).
cnf(refute_0_377,plain,
rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) = rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),
introduced(tautology,[refl,[$fot(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)))]]) ).
cnf(refute_0_378,plain,
( rd(ld(X_13,X_13),ld(X_13,X_13)) != ld(ld(X_13,X_13),ld(X_13,X_13))
| rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) != rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))
| rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) = rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))) ),[1,0],$fot(ld(ld(X_13,X_13),ld(X_13,X_13)))]]) ).
cnf(refute_0_379,plain,
( rd(ld(X_13,X_13),ld(X_13,X_13)) != ld(ld(X_13,X_13),ld(X_13,X_13))
| rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) = rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) ),
inference(resolve,[$cnf( $equal(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) = rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),
inference(resolve,[$cnf( $equal(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(ld(X_13,X_13),ld(X_13,X_13))) )],[refute_0_63,refute_0_379]) ).
cnf(refute_0_381,plain,
mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),
introduced(tautology,[refl,[$fot(mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)))]]) ).
cnf(refute_0_382,plain,
( mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) != mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13))
| rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) != rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))
| mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13))) ),[1,0],$fot(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)))]]) ).
cnf(refute_0_383,plain,
( rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) != rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))
| mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13))) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),
inference(resolve,[$cnf( $equal(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))) )],[refute_0_380,refute_0_383]) ).
cnf(refute_0_385,plain,
( mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) != ld(X_13,X_13)
| mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) != mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13))
| mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = ld(X_13,X_13) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)))),bind(Y,$fot(mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)))),bind(Z,$fot(ld(X_13,X_13)))]]) ).
cnf(refute_0_386,plain,
( mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) != ld(X_13,X_13)
| mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = ld(X_13,X_13) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = ld(X_13,X_13),
inference(resolve,[$cnf( $equal(mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) )],[refute_0_376,refute_0_386]) ).
cnf(refute_0_388,plain,
( mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) != ld(X_13,X_13)
| mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) != rd(ld(X_13,X_13),ld(X_13,X_13))
| ld(X_13,X_13) = rd(ld(X_13,X_13),ld(X_13,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),rd(ld(X_13,X_13),ld(X_13,X_13))) ),[0],$fot(ld(X_13,X_13))]]) ).
cnf(refute_0_389,plain,
( mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) != rd(ld(X_13,X_13),ld(X_13,X_13))
| ld(X_13,X_13) = rd(ld(X_13,X_13),ld(X_13,X_13)) ),
inference(resolve,[$cnf( $equal(mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
( ld(X_13,X_13) != rd(ld(X_13,X_13),ld(X_13,X_13))
| rd(ld(X_13,X_13),ld(X_13,X_13)) != ld(ld(X_13,X_13),ld(X_13,X_13))
| ld(X_13,X_13) = ld(ld(X_13,X_13),ld(X_13,X_13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13))) ),[0],$fot(rd(ld(X_13,X_13),ld(X_13,X_13)))]]) ).
cnf(refute_0_391,plain,
( ld(X_13,X_13) != rd(ld(X_13,X_13),ld(X_13,X_13))
| ld(X_13,X_13) = ld(ld(X_13,X_13),ld(X_13,X_13)) ),
inference(resolve,[$cnf( $equal(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(ld(X_13,X_13),ld(X_13,X_13))) )],[refute_0_63,refute_0_390]) ).
cnf(refute_0_392,plain,
( mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) != rd(ld(X_13,X_13),ld(X_13,X_13))
| ld(X_13,X_13) = ld(ld(X_13,X_13),ld(X_13,X_13)) ),
inference(resolve,[$cnf( $equal(ld(X_13,X_13),rd(ld(X_13,X_13),ld(X_13,X_13))) )],[refute_0_389,refute_0_391]) ).
cnf(refute_0_393,plain,
ld(X_13,X_13) = ld(ld(X_13,X_13),ld(X_13,X_13)),
inference(resolve,[$cnf( $equal(mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),rd(ld(X_13,X_13),ld(X_13,X_13))) )],[refute_0_368,refute_0_392]) ).
cnf(refute_0_394,plain,
( ld(X_13,X_13) != ld(ld(X_13,X_13),ld(X_13,X_13))
| ld(ld(X_13,X_13),ld(X_13,X_13)) = ld(X_13,X_13) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(ld(X_13,X_13))),bind(Y,$fot(ld(ld(X_13,X_13),ld(X_13,X_13))))]]) ).
cnf(refute_0_395,plain,
ld(ld(X_13,X_13),ld(X_13,X_13)) = ld(X_13,X_13),
inference(resolve,[$cnf( $equal(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13))) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
( ld(ld(X_13,X_13),ld(X_13,X_13)) != ld(X_13,X_13)
| mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(ld(X_13,X_13),ld(X_13,X_13))) != mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13)))
| mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) = mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(ld(X_13,X_13),ld(X_13,X_13))),mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13)))) ),[0,1],$fot(ld(X_13,X_13))]]) ).
cnf(refute_0_397,plain,
( mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(ld(X_13,X_13),ld(X_13,X_13))) != mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13)))
| mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) = mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13))) ),
inference(resolve,[$cnf( $equal(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) = mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13))),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(ld(X_13,X_13),ld(X_13,X_13))),mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13)))) )],[refute_0_354,refute_0_397]) ).
cnf(refute_0_399,plain,
mult(rd(mult(X_57,X_58),ld(X_13,X_13)),ld(X_13,X_13)) = mult(X_57,mult(rd(X_58,X_13),X_13)),
inference(subst,[],[refute_0_297:[bind(X_53,$fot(X_57)),bind(X_54,$fot(X_58)),bind(X_56,$fot(X_13))]]) ).
cnf(refute_0_400,plain,
rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))) = rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),
introduced(tautology,[refl,[$fot(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))))]]) ).
cnf(refute_0_401,plain,
( ld(ld(X_13,X_13),ld(X_13,X_13)) != ld(X_13,X_13)
| rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))) != rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13)))
| rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))) = rd(mult(X_57,X_58),ld(X_13,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13)))) ),[1,1],$fot(ld(X_13,X_13))]]) ).
cnf(refute_0_402,plain,
( ld(ld(X_13,X_13),ld(X_13,X_13)) != ld(X_13,X_13)
| rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))) = rd(mult(X_57,X_58),ld(X_13,X_13)) ),
inference(resolve,[$cnf( $equal(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13)))) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))) = rd(mult(X_57,X_58),ld(X_13,X_13)),
inference(resolve,[$cnf( $equal(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) )],[refute_0_395,refute_0_402]) ).
cnf(refute_0_404,plain,
mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) = mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)),
introduced(tautology,[refl,[$fot(mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)))]]) ).
cnf(refute_0_405,plain,
( mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) != mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13))
| rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))) != rd(mult(X_57,X_58),ld(X_13,X_13))
| mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) = mult(rd(mult(X_57,X_58),ld(X_13,X_13)),ld(X_13,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)),mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13))) ),[1,0],$fot(rd(mult(X_57,X_58),ld(X_13,X_13)))]]) ).
cnf(refute_0_406,plain,
( rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))) != rd(mult(X_57,X_58),ld(X_13,X_13))
| mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) = mult(rd(mult(X_57,X_58),ld(X_13,X_13)),ld(X_13,X_13)) ),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)),mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13))) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) = mult(rd(mult(X_57,X_58),ld(X_13,X_13)),ld(X_13,X_13)),
inference(resolve,[$cnf( $equal(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),rd(mult(X_57,X_58),ld(X_13,X_13))) )],[refute_0_403,refute_0_406]) ).
cnf(refute_0_408,plain,
( mult(rd(mult(X_57,X_58),ld(X_13,X_13)),ld(X_13,X_13)) != mult(X_57,mult(rd(X_58,X_13),X_13))
| mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) != mult(rd(mult(X_57,X_58),ld(X_13,X_13)),ld(X_13,X_13))
| mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) = mult(X_57,mult(rd(X_58,X_13),X_13)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)))),bind(Y,$fot(mult(rd(mult(X_57,X_58),ld(X_13,X_13)),ld(X_13,X_13)))),bind(Z,$fot(mult(X_57,mult(rd(X_58,X_13),X_13))))]]) ).
cnf(refute_0_409,plain,
( mult(rd(mult(X_57,X_58),ld(X_13,X_13)),ld(X_13,X_13)) != mult(X_57,mult(rd(X_58,X_13),X_13))
| mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) = mult(X_57,mult(rd(X_58,X_13),X_13)) ),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)),mult(rd(mult(X_57,X_58),ld(X_13,X_13)),ld(X_13,X_13))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) = mult(X_57,mult(rd(X_58,X_13),X_13)),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_57,X_58),ld(X_13,X_13)),ld(X_13,X_13)),mult(X_57,mult(rd(X_58,X_13),X_13))) )],[refute_0_399,refute_0_409]) ).
cnf(refute_0_411,plain,
( mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) != mult(X_57,mult(rd(X_58,X_13),X_13))
| mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) != mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13)))
| mult(X_57,mult(rd(X_58,X_13),X_13)) = mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)),mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13)))) ),[0],$fot(mult(X_57,mult(rd(X_58,X_13),X_13)))]]) ).
cnf(refute_0_412,plain,
( mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) != mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13)))
| mult(X_57,mult(rd(X_58,X_13),X_13)) = mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13))) ),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)),mult(X_57,mult(rd(X_58,X_13),X_13))) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
mult(X_57,mult(rd(X_58,X_13),X_13)) = mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13))),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_57,X_58),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)),mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13)))) )],[refute_0_398,refute_0_412]) ).
cnf(refute_0_414,plain,
mult(rd(mult(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)) = mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59)),
inference(subst,[],[refute_0_297:[bind(X_53,$fot(X_57)),bind(X_54,$fot(ld(X_59,X_59))),bind(X_56,$fot(X_59))]]) ).
cnf(refute_0_415,plain,
mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)) = rd(mult(X_57,ld(X_59,X_59)),ld(X_59,X_59)),
inference(subst,[],[f04:[bind(A,$fot(X_57)),bind(B,$fot(ld(X_59,X_59)))]]) ).
cnf(refute_0_416,plain,
( mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)) != rd(mult(X_57,ld(X_59,X_59)),ld(X_59,X_59))
| rd(mult(X_57,ld(X_59,X_59)),ld(X_59,X_59)) = mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)))),bind(Y,$fot(rd(mult(X_57,ld(X_59,X_59)),ld(X_59,X_59))))]]) ).
cnf(refute_0_417,plain,
rd(mult(X_57,ld(X_59,X_59)),ld(X_59,X_59)) = mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),
inference(resolve,[$cnf( $equal(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),rd(mult(X_57,ld(X_59,X_59)),ld(X_59,X_59))) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
( mult(rd(mult(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)) != mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59))
| rd(mult(X_57,ld(X_59,X_59)),ld(X_59,X_59)) != mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59))
| mult(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)) = mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)),mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59))) ),[0,0],$fot(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)))]]) ).
cnf(refute_0_419,plain,
( mult(rd(mult(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)) != mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59))
| mult(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)) = mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59)) ),
inference(resolve,[$cnf( $equal(rd(mult(X_57,ld(X_59,X_59)),ld(X_59,X_59)),mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
mult(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)) = mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59)),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)),mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59))) )],[refute_0_414,refute_0_419]) ).
cnf(refute_0_421,plain,
ld(X_59,mult(X_59,X_59)) = X_59,
inference(subst,[],[f01:[bind(A,$fot(X_59))]]) ).
cnf(refute_0_422,plain,
mult(X_59,ld(X_59,X_59)) = ld(X_59,mult(X_59,X_59)),
inference(subst,[],[f03:[bind(A,$fot(X_59)),bind(B,$fot(X_59))]]) ).
cnf(refute_0_423,plain,
( ld(X_59,mult(X_59,X_59)) != X_59
| mult(X_59,ld(X_59,X_59)) != ld(X_59,mult(X_59,X_59))
| mult(X_59,ld(X_59,X_59)) = X_59 ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(X_59,ld(X_59,X_59)))),bind(Y,$fot(ld(X_59,mult(X_59,X_59)))),bind(Z,$fot(X_59))]]) ).
cnf(refute_0_424,plain,
( ld(X_59,mult(X_59,X_59)) != X_59
| mult(X_59,ld(X_59,X_59)) = X_59 ),
inference(resolve,[$cnf( $equal(mult(X_59,ld(X_59,X_59)),ld(X_59,mult(X_59,X_59))) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
mult(X_59,ld(X_59,X_59)) = X_59,
inference(resolve,[$cnf( $equal(ld(X_59,mult(X_59,X_59)),X_59) )],[refute_0_421,refute_0_424]) ).
cnf(refute_0_426,plain,
ld(X_59,mult(X_59,ld(X_59,X_59))) = ld(X_59,mult(X_59,ld(X_59,X_59))),
introduced(tautology,[refl,[$fot(ld(X_59,mult(X_59,ld(X_59,X_59))))]]) ).
cnf(refute_0_427,plain,
( ld(X_59,mult(X_59,ld(X_59,X_59))) != ld(X_59,mult(X_59,ld(X_59,X_59)))
| mult(X_59,ld(X_59,X_59)) != X_59
| ld(X_59,mult(X_59,ld(X_59,X_59))) = ld(X_59,X_59) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_59,mult(X_59,ld(X_59,X_59))),ld(X_59,mult(X_59,ld(X_59,X_59)))) ),[1,1],$fot(X_59)]]) ).
cnf(refute_0_428,plain,
( mult(X_59,ld(X_59,X_59)) != X_59
| ld(X_59,mult(X_59,ld(X_59,X_59))) = ld(X_59,X_59) ),
inference(resolve,[$cnf( $equal(ld(X_59,mult(X_59,ld(X_59,X_59))),ld(X_59,mult(X_59,ld(X_59,X_59)))) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
ld(X_59,mult(X_59,ld(X_59,X_59))) = ld(X_59,X_59),
inference(resolve,[$cnf( $equal(mult(X_59,ld(X_59,X_59)),X_59) )],[refute_0_425,refute_0_428]) ).
cnf(refute_0_430,plain,
mult(rd(ld(X_59,X_59),X_59),X_59) = ld(X_59,mult(X_59,ld(X_59,X_59))),
inference(subst,[],[refute_0_255:[bind(A,$fot(X_59)),bind(B,$fot(X_59))]]) ).
cnf(refute_0_431,plain,
( ld(X_59,mult(X_59,ld(X_59,X_59))) != ld(X_59,X_59)
| mult(rd(ld(X_59,X_59),X_59),X_59) != ld(X_59,mult(X_59,ld(X_59,X_59)))
| mult(rd(ld(X_59,X_59),X_59),X_59) = ld(X_59,X_59) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(rd(ld(X_59,X_59),X_59),X_59))),bind(Y,$fot(ld(X_59,mult(X_59,ld(X_59,X_59))))),bind(Z,$fot(ld(X_59,X_59)))]]) ).
cnf(refute_0_432,plain,
( ld(X_59,mult(X_59,ld(X_59,X_59))) != ld(X_59,X_59)
| mult(rd(ld(X_59,X_59),X_59),X_59) = ld(X_59,X_59) ),
inference(resolve,[$cnf( $equal(mult(rd(ld(X_59,X_59),X_59),X_59),ld(X_59,mult(X_59,ld(X_59,X_59)))) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
mult(rd(ld(X_59,X_59),X_59),X_59) = ld(X_59,X_59),
inference(resolve,[$cnf( $equal(ld(X_59,mult(X_59,ld(X_59,X_59))),ld(X_59,X_59)) )],[refute_0_429,refute_0_432]) ).
cnf(refute_0_434,plain,
mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59)) = mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59)),
introduced(tautology,[refl,[$fot(mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59)))]]) ).
cnf(refute_0_435,plain,
( mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59)) != mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59))
| mult(rd(ld(X_59,X_59),X_59),X_59) != ld(X_59,X_59)
| mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59)) = mult(X_57,ld(X_59,X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59)),mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59))) ),[1,1],$fot(ld(X_59,X_59))]]) ).
cnf(refute_0_436,plain,
( mult(rd(ld(X_59,X_59),X_59),X_59) != ld(X_59,X_59)
| mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59)) = mult(X_57,ld(X_59,X_59)) ),
inference(resolve,[$cnf( $equal(mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59)),mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59))) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59)) = mult(X_57,ld(X_59,X_59)),
inference(resolve,[$cnf( $equal(mult(rd(ld(X_59,X_59),X_59),X_59),ld(X_59,X_59)) )],[refute_0_433,refute_0_436]) ).
cnf(refute_0_438,plain,
( mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59)) != mult(X_57,ld(X_59,X_59))
| mult(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)) != mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59))
| mult(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)) = mult(X_57,ld(X_59,X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)),mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59))) ),[1],$fot(mult(X_57,ld(X_59,X_59)))]]) ).
cnf(refute_0_439,plain,
( mult(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)) != mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59))
| mult(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)) = mult(X_57,ld(X_59,X_59)) ),
inference(resolve,[$cnf( $equal(mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59)),mult(X_57,ld(X_59,X_59))) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
mult(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)) = mult(X_57,ld(X_59,X_59)),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)),mult(X_57,mult(rd(ld(X_59,X_59),X_59),X_59))) )],[refute_0_420,refute_0_439]) ).
cnf(refute_0_441,plain,
mult(rd(X_57,ld(X_59,X_59)),mult(rd(ld(X_59,X_59),X_59),X_59)) = mult(rd(X_57,ld(X_59,X_59)),mult(rd(ld(X_59,X_59),X_59),X_59)),
introduced(tautology,[refl,[$fot(mult(rd(X_57,ld(X_59,X_59)),mult(rd(ld(X_59,X_59),X_59),X_59)))]]) ).
cnf(refute_0_442,plain,
( mult(rd(X_57,ld(X_59,X_59)),mult(rd(ld(X_59,X_59),X_59),X_59)) != mult(rd(X_57,ld(X_59,X_59)),mult(rd(ld(X_59,X_59),X_59),X_59))
| mult(rd(ld(X_59,X_59),X_59),X_59) != ld(X_59,X_59)
| mult(rd(X_57,ld(X_59,X_59)),mult(rd(ld(X_59,X_59),X_59),X_59)) = mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_57,ld(X_59,X_59)),mult(rd(ld(X_59,X_59),X_59),X_59)),mult(rd(X_57,ld(X_59,X_59)),mult(rd(ld(X_59,X_59),X_59),X_59))) ),[1,1],$fot(ld(X_59,X_59))]]) ).
cnf(refute_0_443,plain,
( mult(rd(ld(X_59,X_59),X_59),X_59) != ld(X_59,X_59)
| mult(rd(X_57,ld(X_59,X_59)),mult(rd(ld(X_59,X_59),X_59),X_59)) = mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_57,ld(X_59,X_59)),mult(rd(ld(X_59,X_59),X_59),X_59)),mult(rd(X_57,ld(X_59,X_59)),mult(rd(ld(X_59,X_59),X_59),X_59))) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
mult(rd(X_57,ld(X_59,X_59)),mult(rd(ld(X_59,X_59),X_59),X_59)) = mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),
inference(resolve,[$cnf( $equal(mult(rd(ld(X_59,X_59),X_59),X_59),ld(X_59,X_59)) )],[refute_0_433,refute_0_443]) ).
cnf(refute_0_445,plain,
mult(rd(mult(A,B),rd(C,D)),rd(C,D)) = mult(mult(A,B),ld(D,D)),
inference(subst,[],[refute_0_345:[bind(X_27,$fot(mult(A,B))),bind(X_55,$fot(C)),bind(X_56,$fot(D))]]) ).
cnf(refute_0_446,plain,
( mult(rd(mult(A,B),rd(C,D)),rd(C,D)) != mult(A,mult(rd(B,D),D))
| mult(rd(mult(A,B),rd(C,D)),rd(C,D)) != mult(mult(A,B),ld(D,D))
| mult(mult(A,B),ld(D,D)) = mult(A,mult(rd(B,D),D)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(A,B),rd(C,D)),rd(C,D)),mult(A,mult(rd(B,D),D))) ),[0],$fot(mult(mult(A,B),ld(D,D)))]]) ).
cnf(refute_0_447,plain,
( mult(rd(mult(A,B),rd(C,D)),rd(C,D)) != mult(A,mult(rd(B,D),D))
| mult(mult(A,B),ld(D,D)) = mult(A,mult(rd(B,D),D)) ),
inference(resolve,[$cnf( $equal(mult(rd(mult(A,B),rd(C,D)),rd(C,D)),mult(mult(A,B),ld(D,D))) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
mult(mult(A,B),ld(D,D)) = mult(A,mult(rd(B,D),D)),
inference(resolve,[$cnf( $equal(mult(rd(mult(A,B),rd(C,D)),rd(C,D)),mult(A,mult(rd(B,D),D))) )],[refute_0_199,refute_0_447]) ).
cnf(refute_0_449,plain,
mult(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)) = mult(rd(X_57,ld(X_59,X_59)),mult(rd(ld(X_59,X_59),X_59),X_59)),
inference(subst,[],[refute_0_448:[bind(A,$fot(rd(X_57,ld(X_59,X_59)))),bind(B,$fot(ld(X_59,X_59))),bind(D,$fot(X_59))]]) ).
cnf(refute_0_450,plain,
( mult(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)) != mult(rd(X_57,ld(X_59,X_59)),mult(rd(ld(X_59,X_59),X_59),X_59))
| mult(rd(X_57,ld(X_59,X_59)),mult(rd(ld(X_59,X_59),X_59),X_59)) != mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59))
| mult(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)) = mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)))),bind(Y,$fot(mult(rd(X_57,ld(X_59,X_59)),mult(rd(ld(X_59,X_59),X_59),X_59)))),bind(Z,$fot(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59))))]]) ).
cnf(refute_0_451,plain,
( mult(rd(X_57,ld(X_59,X_59)),mult(rd(ld(X_59,X_59),X_59),X_59)) != mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59))
| mult(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)) = mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)),mult(rd(X_57,ld(X_59,X_59)),mult(rd(ld(X_59,X_59),X_59),X_59))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
mult(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)) = mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),
inference(resolve,[$cnf( $equal(mult(rd(X_57,ld(X_59,X_59)),mult(rd(ld(X_59,X_59),X_59),X_59)),mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59))) )],[refute_0_444,refute_0_451]) ).
cnf(refute_0_453,plain,
( mult(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)) != mult(X_57,ld(X_59,X_59))
| mult(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)) != mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59))
| mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)) = mult(X_57,ld(X_59,X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)),mult(X_57,ld(X_59,X_59))) ),[0],$fot(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)))]]) ).
cnf(refute_0_454,plain,
( mult(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)) != mult(X_57,ld(X_59,X_59))
| mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)) = mult(X_57,ld(X_59,X_59)) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)),mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59))) )],[refute_0_452,refute_0_453]) ).
cnf(refute_0_455,plain,
mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)) = mult(X_57,ld(X_59,X_59)),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_57,ld(X_59,X_59)),ld(X_59,X_59)),ld(X_59,X_59)),mult(X_57,ld(X_59,X_59))) )],[refute_0_440,refute_0_454]) ).
cnf(refute_0_456,plain,
mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13)) = mult(X_58,ld(X_13,X_13)),
inference(subst,[],[refute_0_455:[bind(X_57,$fot(X_58)),bind(X_59,$fot(X_13))]]) ).
cnf(refute_0_457,plain,
mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13))) = mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13))),
introduced(tautology,[refl,[$fot(mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13))))]]) ).
cnf(refute_0_458,plain,
( mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13))) != mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13)))
| mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13)) != mult(X_58,ld(X_13,X_13))
| mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13))) = mult(X_57,mult(X_58,ld(X_13,X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13))),mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13)))) ),[1,1],$fot(mult(X_58,ld(X_13,X_13)))]]) ).
cnf(refute_0_459,plain,
( mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13)) != mult(X_58,ld(X_13,X_13))
| mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13))) = mult(X_57,mult(X_58,ld(X_13,X_13))) ),
inference(resolve,[$cnf( $equal(mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13))),mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13)))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13))) = mult(X_57,mult(X_58,ld(X_13,X_13))),
inference(resolve,[$cnf( $equal(mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13)),mult(X_58,ld(X_13,X_13))) )],[refute_0_456,refute_0_459]) ).
cnf(refute_0_461,plain,
( mult(X_57,mult(rd(X_58,X_13),X_13)) != mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13)))
| mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13))) != mult(X_57,mult(X_58,ld(X_13,X_13)))
| mult(X_57,mult(rd(X_58,X_13),X_13)) = mult(X_57,mult(X_58,ld(X_13,X_13))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_57,mult(rd(X_58,X_13),X_13)),mult(X_57,mult(X_58,ld(X_13,X_13)))) ),[0],$fot(mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13))))]]) ).
cnf(refute_0_462,plain,
( mult(X_57,mult(rd(X_58,X_13),X_13)) != mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13)))
| mult(X_57,mult(rd(X_58,X_13),X_13)) = mult(X_57,mult(X_58,ld(X_13,X_13))) ),
inference(resolve,[$cnf( $equal(mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13))),mult(X_57,mult(X_58,ld(X_13,X_13)))) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
mult(X_57,mult(rd(X_58,X_13),X_13)) = mult(X_57,mult(X_58,ld(X_13,X_13))),
inference(resolve,[$cnf( $equal(mult(X_57,mult(rd(X_58,X_13),X_13)),mult(X_57,mult(rd(X_58,ld(X_13,X_13)),ld(X_13,X_13)))) )],[refute_0_413,refute_0_462]) ).
cnf(refute_0_464,plain,
mult(X_53,mult(rd(rd(X_55,X_56),X_56),X_56)) = mult(X_53,mult(rd(X_55,X_56),ld(X_56,X_56))),
inference(subst,[],[refute_0_463:[bind(X_13,$fot(X_56)),bind(X_57,$fot(X_53)),bind(X_58,$fot(rd(X_55,X_56)))]]) ).
cnf(refute_0_465,plain,
( mult(X_53,mult(rd(rd(X_55,X_56),X_56),X_56)) != mult(X_53,mult(rd(X_55,X_56),ld(X_56,X_56)))
| mult(mult(X_53,ld(X_56,X_56)),rd(X_55,X_56)) != mult(X_53,mult(rd(rd(X_55,X_56),X_56),X_56))
| mult(mult(X_53,ld(X_56,X_56)),rd(X_55,X_56)) = mult(X_53,mult(rd(X_55,X_56),ld(X_56,X_56))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_53,ld(X_56,X_56)),rd(X_55,X_56)),mult(X_53,mult(rd(rd(X_55,X_56),X_56),X_56))) ),[1],$fot(mult(X_53,mult(rd(X_55,X_56),ld(X_56,X_56))))]]) ).
cnf(refute_0_466,plain,
( mult(mult(X_53,ld(X_56,X_56)),rd(X_55,X_56)) != mult(X_53,mult(rd(rd(X_55,X_56),X_56),X_56))
| mult(mult(X_53,ld(X_56,X_56)),rd(X_55,X_56)) = mult(X_53,mult(rd(X_55,X_56),ld(X_56,X_56))) ),
inference(resolve,[$cnf( $equal(mult(X_53,mult(rd(rd(X_55,X_56),X_56),X_56)),mult(X_53,mult(rd(X_55,X_56),ld(X_56,X_56)))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
mult(mult(X_53,ld(X_56,X_56)),rd(X_55,X_56)) = mult(X_53,mult(rd(X_55,X_56),ld(X_56,X_56))),
inference(resolve,[$cnf( $equal(mult(mult(X_53,ld(X_56,X_56)),rd(X_55,X_56)),mult(X_53,mult(rd(rd(X_55,X_56),X_56),X_56))) )],[refute_0_353,refute_0_466]) ).
cnf(refute_0_468,plain,
mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),rd(X_64,ld(X_64,X_64))) = mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64)))),
inference(subst,[],[refute_0_467:[bind(X_53,$fot(X_63)),bind(X_55,$fot(X_64)),bind(X_56,$fot(ld(X_64,X_64)))]]) ).
cnf(refute_0_469,plain,
X_64 = rd(X_64,ld(X_64,X_64)),
inference(subst,[],[refute_0_309:[bind(X_26,$fot(X_64))]]) ).
cnf(refute_0_470,plain,
( X_64 != rd(X_64,ld(X_64,X_64))
| rd(X_64,ld(X_64,X_64)) = X_64 ),
inference(subst,[],[refute_0_10:[bind(X,$fot(X_64)),bind(Y,$fot(rd(X_64,ld(X_64,X_64))))]]) ).
cnf(refute_0_471,plain,
rd(X_64,ld(X_64,X_64)) = X_64,
inference(resolve,[$cnf( $equal(X_64,rd(X_64,ld(X_64,X_64))) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
( mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),rd(X_64,ld(X_64,X_64))) != mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))))
| rd(X_64,ld(X_64,X_64)) != X_64
| mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),X_64) = mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),rd(X_64,ld(X_64,X_64))),mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))))) ),[0,1],$fot(X_64)]]) ).
cnf(refute_0_473,plain,
( mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),rd(X_64,ld(X_64,X_64))) != mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))))
| mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),X_64) = mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64)))) ),
inference(resolve,[$cnf( $equal(rd(X_64,ld(X_64,X_64)),X_64) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),X_64) = mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64)))),
inference(resolve,[$cnf( $equal(mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),rd(X_64,ld(X_64,X_64))),mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))))) )],[refute_0_468,refute_0_473]) ).
cnf(refute_0_475,plain,
ld(ld(X_64,X_64),ld(X_64,X_64)) = ld(X_64,X_64),
inference(subst,[],[refute_0_395:[bind(X_13,$fot(X_64))]]) ).
cnf(refute_0_476,plain,
mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))) = mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),
introduced(tautology,[refl,[$fot(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))))]]) ).
cnf(refute_0_477,plain,
( ld(ld(X_64,X_64),ld(X_64,X_64)) != ld(X_64,X_64)
| mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))) != mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64)))
| mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))) = mult(X_63,ld(X_64,X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64)))) ),[1,1],$fot(ld(X_64,X_64))]]) ).
cnf(refute_0_478,plain,
( ld(ld(X_64,X_64),ld(X_64,X_64)) != ld(X_64,X_64)
| mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))) = mult(X_63,ld(X_64,X_64)) ),
inference(resolve,[$cnf( $equal(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64)))) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))) = mult(X_63,ld(X_64,X_64)),
inference(resolve,[$cnf( $equal(ld(ld(X_64,X_64),ld(X_64,X_64)),ld(X_64,X_64)) )],[refute_0_475,refute_0_478]) ).
cnf(refute_0_480,plain,
mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),X_64) = mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),X_64),
introduced(tautology,[refl,[$fot(mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),X_64))]]) ).
cnf(refute_0_481,plain,
( mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))) != mult(X_63,ld(X_64,X_64))
| mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),X_64) != mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),X_64)
| mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),X_64) = mult(mult(X_63,ld(X_64,X_64)),X_64) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),X_64),mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),X_64)) ),[1,0],$fot(mult(X_63,ld(X_64,X_64)))]]) ).
cnf(refute_0_482,plain,
( mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))) != mult(X_63,ld(X_64,X_64))
| mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),X_64) = mult(mult(X_63,ld(X_64,X_64)),X_64) ),
inference(resolve,[$cnf( $equal(mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),X_64),mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),X_64)) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),X_64) = mult(mult(X_63,ld(X_64,X_64)),X_64),
inference(resolve,[$cnf( $equal(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),mult(X_63,ld(X_64,X_64))) )],[refute_0_479,refute_0_482]) ).
cnf(refute_0_484,plain,
( mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),X_64) != mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))))
| mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),X_64) != mult(mult(X_63,ld(X_64,X_64)),X_64)
| mult(mult(X_63,ld(X_64,X_64)),X_64) = mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64)))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),X_64),mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))))) ),[0],$fot(mult(mult(X_63,ld(X_64,X_64)),X_64))]]) ).
cnf(refute_0_485,plain,
( mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),X_64) != mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))))
| mult(mult(X_63,ld(X_64,X_64)),X_64) = mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64)))) ),
inference(resolve,[$cnf( $equal(mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),X_64),mult(mult(X_63,ld(X_64,X_64)),X_64)) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
ld(X_64,mult(X_64,X_64)) = X_64,
inference(subst,[],[f01:[bind(A,$fot(X_64))]]) ).
cnf(refute_0_487,plain,
mult(X_64,ld(X_64,X_64)) = ld(X_64,mult(X_64,X_64)),
inference(subst,[],[f03:[bind(A,$fot(X_64)),bind(B,$fot(X_64))]]) ).
cnf(refute_0_488,plain,
( ld(X_64,mult(X_64,X_64)) != X_64
| mult(X_64,ld(X_64,X_64)) != ld(X_64,mult(X_64,X_64))
| mult(X_64,ld(X_64,X_64)) = X_64 ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(X_64,ld(X_64,X_64)))),bind(Y,$fot(ld(X_64,mult(X_64,X_64)))),bind(Z,$fot(X_64))]]) ).
cnf(refute_0_489,plain,
( ld(X_64,mult(X_64,X_64)) != X_64
| mult(X_64,ld(X_64,X_64)) = X_64 ),
inference(resolve,[$cnf( $equal(mult(X_64,ld(X_64,X_64)),ld(X_64,mult(X_64,X_64))) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
mult(X_64,ld(X_64,X_64)) = X_64,
inference(resolve,[$cnf( $equal(ld(X_64,mult(X_64,X_64)),X_64) )],[refute_0_486,refute_0_489]) ).
cnf(refute_0_491,plain,
mult(X_64,ld(ld(X_64,X_64),ld(X_64,X_64))) = mult(X_64,ld(ld(X_64,X_64),ld(X_64,X_64))),
introduced(tautology,[refl,[$fot(mult(X_64,ld(ld(X_64,X_64),ld(X_64,X_64))))]]) ).
cnf(refute_0_492,plain,
( ld(ld(X_64,X_64),ld(X_64,X_64)) != ld(X_64,X_64)
| mult(X_64,ld(ld(X_64,X_64),ld(X_64,X_64))) != mult(X_64,ld(ld(X_64,X_64),ld(X_64,X_64)))
| mult(X_64,ld(ld(X_64,X_64),ld(X_64,X_64))) = mult(X_64,ld(X_64,X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_64,ld(ld(X_64,X_64),ld(X_64,X_64))),mult(X_64,ld(ld(X_64,X_64),ld(X_64,X_64)))) ),[1,1],$fot(ld(X_64,X_64))]]) ).
cnf(refute_0_493,plain,
( ld(ld(X_64,X_64),ld(X_64,X_64)) != ld(X_64,X_64)
| mult(X_64,ld(ld(X_64,X_64),ld(X_64,X_64))) = mult(X_64,ld(X_64,X_64)) ),
inference(resolve,[$cnf( $equal(mult(X_64,ld(ld(X_64,X_64),ld(X_64,X_64))),mult(X_64,ld(ld(X_64,X_64),ld(X_64,X_64)))) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
mult(X_64,ld(ld(X_64,X_64),ld(X_64,X_64))) = mult(X_64,ld(X_64,X_64)),
inference(resolve,[$cnf( $equal(ld(ld(X_64,X_64),ld(X_64,X_64)),ld(X_64,X_64)) )],[refute_0_475,refute_0_493]) ).
cnf(refute_0_495,plain,
mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))) = mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))),
introduced(tautology,[refl,[$fot(mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))))]]) ).
cnf(refute_0_496,plain,
( mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))) != mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64)))
| rd(X_64,ld(X_64,X_64)) != X_64
| mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))) = mult(X_64,ld(ld(X_64,X_64),ld(X_64,X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))),mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64)))) ),[1,0],$fot(X_64)]]) ).
cnf(refute_0_497,plain,
( rd(X_64,ld(X_64,X_64)) != X_64
| mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))) = mult(X_64,ld(ld(X_64,X_64),ld(X_64,X_64))) ),
inference(resolve,[$cnf( $equal(mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))),mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64)))) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))) = mult(X_64,ld(ld(X_64,X_64),ld(X_64,X_64))),
inference(resolve,[$cnf( $equal(rd(X_64,ld(X_64,X_64)),X_64) )],[refute_0_471,refute_0_497]) ).
cnf(refute_0_499,plain,
( mult(X_64,ld(ld(X_64,X_64),ld(X_64,X_64))) != mult(X_64,ld(X_64,X_64))
| mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))) != mult(X_64,ld(ld(X_64,X_64),ld(X_64,X_64)))
| mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))) = mult(X_64,ld(X_64,X_64)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))))),bind(Y,$fot(mult(X_64,ld(ld(X_64,X_64),ld(X_64,X_64))))),bind(Z,$fot(mult(X_64,ld(X_64,X_64))))]]) ).
cnf(refute_0_500,plain,
( mult(X_64,ld(ld(X_64,X_64),ld(X_64,X_64))) != mult(X_64,ld(X_64,X_64))
| mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))) = mult(X_64,ld(X_64,X_64)) ),
inference(resolve,[$cnf( $equal(mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))),mult(X_64,ld(ld(X_64,X_64),ld(X_64,X_64)))) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))) = mult(X_64,ld(X_64,X_64)),
inference(resolve,[$cnf( $equal(mult(X_64,ld(ld(X_64,X_64),ld(X_64,X_64))),mult(X_64,ld(X_64,X_64))) )],[refute_0_494,refute_0_500]) ).
cnf(refute_0_502,plain,
( mult(X_64,ld(X_64,X_64)) != X_64
| mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))) != mult(X_64,ld(X_64,X_64))
| mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))) = X_64 ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))))),bind(Y,$fot(mult(X_64,ld(X_64,X_64)))),bind(Z,$fot(X_64))]]) ).
cnf(refute_0_503,plain,
( mult(X_64,ld(X_64,X_64)) != X_64
| mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))) = X_64 ),
inference(resolve,[$cnf( $equal(mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))),mult(X_64,ld(X_64,X_64))) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))) = X_64,
inference(resolve,[$cnf( $equal(mult(X_64,ld(X_64,X_64)),X_64) )],[refute_0_490,refute_0_503]) ).
cnf(refute_0_505,plain,
mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64)))) = mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64)))),
introduced(tautology,[refl,[$fot(mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64)))))]]) ).
cnf(refute_0_506,plain,
( mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64)))) != mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))))
| mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))) != X_64
| mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64)))) = mult(X_63,X_64) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64)))),mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))))) ),[1,1],$fot(X_64)]]) ).
cnf(refute_0_507,plain,
( mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))) != X_64
| mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64)))) = mult(X_63,X_64) ),
inference(resolve,[$cnf( $equal(mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64)))),mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))))) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64)))) = mult(X_63,X_64),
inference(resolve,[$cnf( $equal(mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))),X_64) )],[refute_0_504,refute_0_507]) ).
cnf(refute_0_509,plain,
( mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64)))) != mult(X_63,X_64)
| mult(mult(X_63,ld(X_64,X_64)),X_64) != mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))))
| mult(mult(X_63,ld(X_64,X_64)),X_64) = mult(X_63,X_64) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_63,ld(X_64,X_64)),X_64),mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))))) ),[1],$fot(mult(X_63,X_64))]]) ).
cnf(refute_0_510,plain,
( mult(mult(X_63,ld(X_64,X_64)),X_64) != mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))))
| mult(mult(X_63,ld(X_64,X_64)),X_64) = mult(X_63,X_64) ),
inference(resolve,[$cnf( $equal(mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64)))),mult(X_63,X_64)) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
( mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),X_64) != mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))))
| mult(mult(X_63,ld(X_64,X_64)),X_64) = mult(X_63,X_64) ),
inference(resolve,[$cnf( $equal(mult(mult(X_63,ld(X_64,X_64)),X_64),mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))))) )],[refute_0_485,refute_0_510]) ).
cnf(refute_0_512,plain,
mult(mult(X_63,ld(X_64,X_64)),X_64) = mult(X_63,X_64),
inference(resolve,[$cnf( $equal(mult(mult(X_63,ld(ld(X_64,X_64),ld(X_64,X_64))),X_64),mult(X_63,mult(rd(X_64,ld(X_64,X_64)),ld(ld(X_64,X_64),ld(X_64,X_64))))) )],[refute_0_474,refute_0_511]) ).
cnf(refute_0_513,plain,
mult(mult(X_63,ld(X_76,X_76)),X_76) = mult(X_63,X_76),
inference(subst,[],[refute_0_512:[bind(X_64,$fot(X_76))]]) ).
cnf(refute_0_514,plain,
( ld(ld(mult(X_63,ld(X_76,X_76)),X_75),mult(ld(mult(X_63,ld(X_76,X_76)),X_75),X_76)) != ld(mult(X_63,ld(X_76,X_76)),mult(mult(X_63,ld(X_76,X_76)),X_76))
| mult(mult(X_63,ld(X_76,X_76)),X_76) != mult(X_63,X_76)
| ld(ld(mult(X_63,ld(X_76,X_76)),X_75),mult(ld(mult(X_63,ld(X_76,X_76)),X_75),X_76)) = ld(mult(X_63,ld(X_76,X_76)),mult(X_63,X_76)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(mult(X_63,ld(X_76,X_76)),X_75),mult(ld(mult(X_63,ld(X_76,X_76)),X_75),X_76)),ld(mult(X_63,ld(X_76,X_76)),mult(mult(X_63,ld(X_76,X_76)),X_76))) ),[1,1],$fot(mult(X_63,X_76))]]) ).
cnf(refute_0_515,plain,
( ld(ld(mult(X_63,ld(X_76,X_76)),X_75),mult(ld(mult(X_63,ld(X_76,X_76)),X_75),X_76)) != ld(mult(X_63,ld(X_76,X_76)),mult(mult(X_63,ld(X_76,X_76)),X_76))
| ld(ld(mult(X_63,ld(X_76,X_76)),X_75),mult(ld(mult(X_63,ld(X_76,X_76)),X_75),X_76)) = ld(mult(X_63,ld(X_76,X_76)),mult(X_63,X_76)) ),
inference(resolve,[$cnf( $equal(mult(mult(X_63,ld(X_76,X_76)),X_76),mult(X_63,X_76)) )],[refute_0_513,refute_0_514]) ).
cnf(refute_0_516,plain,
ld(ld(mult(X_63,ld(X_76,X_76)),X_75),mult(ld(mult(X_63,ld(X_76,X_76)),X_75),X_76)) = ld(mult(X_63,ld(X_76,X_76)),mult(X_63,X_76)),
inference(resolve,[$cnf( $equal(ld(ld(mult(X_63,ld(X_76,X_76)),X_75),mult(ld(mult(X_63,ld(X_76,X_76)),X_75),X_76)),ld(mult(X_63,ld(X_76,X_76)),mult(mult(X_63,ld(X_76,X_76)),X_76))) )],[refute_0_187,refute_0_515]) ).
cnf(refute_0_517,plain,
ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(ld(X_74,mult(X_74,mult(X_74,X_34))),X_76)) = ld(X_74,mult(X_74,X_76)),
inference(subst,[],[refute_0_186:[bind(X_31,$fot(X_74)),bind(X_32,$fot(mult(X_74,mult(X_74,X_34)))),bind(X_34,$fot(X_76))]]) ).
cnf(refute_0_518,plain,
ld(X_74,mult(X_74,mult(X_74,X_34))) = mult(X_74,X_34),
inference(subst,[],[refute_0_134:[bind(X_33,$fot(X_74))]]) ).
cnf(refute_0_519,plain,
( ld(X_74,mult(X_74,mult(X_74,X_34))) != mult(X_74,X_34)
| ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(ld(X_74,mult(X_74,mult(X_74,X_34))),X_76)) != ld(X_74,mult(X_74,X_76))
| ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(mult(X_74,X_34),X_76)) = ld(X_74,mult(X_74,X_76)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(ld(X_74,mult(X_74,mult(X_74,X_34))),X_76)),ld(X_74,mult(X_74,X_76))) ),[0,1,0],$fot(mult(X_74,X_34))]]) ).
cnf(refute_0_520,plain,
( ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(ld(X_74,mult(X_74,mult(X_74,X_34))),X_76)) != ld(X_74,mult(X_74,X_76))
| ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(mult(X_74,X_34),X_76)) = ld(X_74,mult(X_74,X_76)) ),
inference(resolve,[$cnf( $equal(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(X_74,X_34)) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(mult(X_74,X_34),X_76)) = ld(X_74,mult(X_74,X_76)),
inference(resolve,[$cnf( $equal(ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(ld(X_74,mult(X_74,mult(X_74,X_34))),X_76)),ld(X_74,mult(X_74,X_76))) )],[refute_0_517,refute_0_520]) ).
cnf(refute_0_522,plain,
ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(mult(X_74,X_34),X_76)) = ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(mult(X_74,X_34),X_76)),
introduced(tautology,[refl,[$fot(ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(mult(X_74,X_34),X_76)))]]) ).
cnf(refute_0_523,plain,
( ld(X_74,mult(X_74,mult(X_74,X_34))) != mult(X_74,X_34)
| ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(mult(X_74,X_34),X_76)) != ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(mult(X_74,X_34),X_76))
| ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(mult(X_74,X_34),X_76)) = ld(mult(X_74,X_34),mult(mult(X_74,X_34),X_76)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(mult(X_74,X_34),X_76)),ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(mult(X_74,X_34),X_76))) ),[1,0],$fot(mult(X_74,X_34))]]) ).
cnf(refute_0_524,plain,
( ld(X_74,mult(X_74,mult(X_74,X_34))) != mult(X_74,X_34)
| ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(mult(X_74,X_34),X_76)) = ld(mult(X_74,X_34),mult(mult(X_74,X_34),X_76)) ),
inference(resolve,[$cnf( $equal(ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(mult(X_74,X_34),X_76)),ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(mult(X_74,X_34),X_76))) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(mult(X_74,X_34),X_76)) = ld(mult(X_74,X_34),mult(mult(X_74,X_34),X_76)),
inference(resolve,[$cnf( $equal(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(X_74,X_34)) )],[refute_0_518,refute_0_524]) ).
cnf(refute_0_526,plain,
( ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(mult(X_74,X_34),X_76)) != ld(X_74,mult(X_74,X_76))
| ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(mult(X_74,X_34),X_76)) != ld(mult(X_74,X_34),mult(mult(X_74,X_34),X_76))
| ld(mult(X_74,X_34),mult(mult(X_74,X_34),X_76)) = ld(X_74,mult(X_74,X_76)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(mult(X_74,X_34),X_76)),ld(X_74,mult(X_74,X_76))) ),[0],$fot(ld(mult(X_74,X_34),mult(mult(X_74,X_34),X_76)))]]) ).
cnf(refute_0_527,plain,
( ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(mult(X_74,X_34),X_76)) != ld(X_74,mult(X_74,X_76))
| ld(mult(X_74,X_34),mult(mult(X_74,X_34),X_76)) = ld(X_74,mult(X_74,X_76)) ),
inference(resolve,[$cnf( $equal(ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(mult(X_74,X_34),X_76)),ld(mult(X_74,X_34),mult(mult(X_74,X_34),X_76))) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
ld(mult(X_74,X_34),mult(mult(X_74,X_34),X_76)) = ld(X_74,mult(X_74,X_76)),
inference(resolve,[$cnf( $equal(ld(ld(X_74,mult(X_74,mult(X_74,X_34))),mult(mult(X_74,X_34),X_76)),ld(X_74,mult(X_74,X_76))) )],[refute_0_521,refute_0_527]) ).
cnf(refute_0_529,plain,
ld(mult(X_63,ld(X_76,X_76)),mult(mult(X_63,ld(X_76,X_76)),X_76)) = ld(X_63,mult(X_63,X_76)),
inference(subst,[],[refute_0_528:[bind(X_34,$fot(ld(X_76,X_76))),bind(X_74,$fot(X_63))]]) ).
cnf(refute_0_530,plain,
( ld(ld(mult(X_63,ld(X_76,X_76)),X_75),mult(ld(mult(X_63,ld(X_76,X_76)),X_75),X_76)) != ld(mult(X_63,ld(X_76,X_76)),mult(mult(X_63,ld(X_76,X_76)),X_76))
| ld(mult(X_63,ld(X_76,X_76)),mult(mult(X_63,ld(X_76,X_76)),X_76)) != ld(X_63,mult(X_63,X_76))
| ld(ld(mult(X_63,ld(X_76,X_76)),X_75),mult(ld(mult(X_63,ld(X_76,X_76)),X_75),X_76)) = ld(X_63,mult(X_63,X_76)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(ld(ld(mult(X_63,ld(X_76,X_76)),X_75),mult(ld(mult(X_63,ld(X_76,X_76)),X_75),X_76)))),bind(Y,$fot(ld(mult(X_63,ld(X_76,X_76)),mult(mult(X_63,ld(X_76,X_76)),X_76)))),bind(Z,$fot(ld(X_63,mult(X_63,X_76))))]]) ).
cnf(refute_0_531,plain,
( ld(mult(X_63,ld(X_76,X_76)),mult(mult(X_63,ld(X_76,X_76)),X_76)) != ld(X_63,mult(X_63,X_76))
| ld(ld(mult(X_63,ld(X_76,X_76)),X_75),mult(ld(mult(X_63,ld(X_76,X_76)),X_75),X_76)) = ld(X_63,mult(X_63,X_76)) ),
inference(resolve,[$cnf( $equal(ld(ld(mult(X_63,ld(X_76,X_76)),X_75),mult(ld(mult(X_63,ld(X_76,X_76)),X_75),X_76)),ld(mult(X_63,ld(X_76,X_76)),mult(mult(X_63,ld(X_76,X_76)),X_76))) )],[refute_0_187,refute_0_530]) ).
cnf(refute_0_532,plain,
ld(ld(mult(X_63,ld(X_76,X_76)),X_75),mult(ld(mult(X_63,ld(X_76,X_76)),X_75),X_76)) = ld(X_63,mult(X_63,X_76)),
inference(resolve,[$cnf( $equal(ld(mult(X_63,ld(X_76,X_76)),mult(mult(X_63,ld(X_76,X_76)),X_76)),ld(X_63,mult(X_63,X_76))) )],[refute_0_529,refute_0_531]) ).
cnf(refute_0_533,plain,
( ld(ld(mult(X_63,ld(X_76,X_76)),X_75),mult(ld(mult(X_63,ld(X_76,X_76)),X_75),X_76)) != ld(X_63,mult(X_63,X_76))
| ld(ld(mult(X_63,ld(X_76,X_76)),X_75),mult(ld(mult(X_63,ld(X_76,X_76)),X_75),X_76)) != ld(mult(X_63,ld(X_76,X_76)),mult(X_63,X_76))
| ld(X_63,mult(X_63,X_76)) = ld(mult(X_63,ld(X_76,X_76)),mult(X_63,X_76)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(mult(X_63,ld(X_76,X_76)),X_75),mult(ld(mult(X_63,ld(X_76,X_76)),X_75),X_76)),ld(mult(X_63,ld(X_76,X_76)),mult(X_63,X_76))) ),[0],$fot(ld(X_63,mult(X_63,X_76)))]]) ).
cnf(refute_0_534,plain,
( ld(ld(mult(X_63,ld(X_76,X_76)),X_75),mult(ld(mult(X_63,ld(X_76,X_76)),X_75),X_76)) != ld(mult(X_63,ld(X_76,X_76)),mult(X_63,X_76))
| ld(X_63,mult(X_63,X_76)) = ld(mult(X_63,ld(X_76,X_76)),mult(X_63,X_76)) ),
inference(resolve,[$cnf( $equal(ld(ld(mult(X_63,ld(X_76,X_76)),X_75),mult(ld(mult(X_63,ld(X_76,X_76)),X_75),X_76)),ld(X_63,mult(X_63,X_76))) )],[refute_0_532,refute_0_533]) ).
cnf(refute_0_535,plain,
ld(X_63,mult(X_63,X_76)) = ld(mult(X_63,ld(X_76,X_76)),mult(X_63,X_76)),
inference(resolve,[$cnf( $equal(ld(ld(mult(X_63,ld(X_76,X_76)),X_75),mult(ld(mult(X_63,ld(X_76,X_76)),X_75),X_76)),ld(mult(X_63,ld(X_76,X_76)),mult(X_63,X_76))) )],[refute_0_516,refute_0_534]) ).
cnf(refute_0_536,plain,
ld(X_117,mult(X_117,ld(X_72,X_72))) = ld(mult(X_117,ld(ld(X_72,X_72),ld(X_72,X_72))),mult(X_117,ld(X_72,X_72))),
inference(subst,[],[refute_0_535:[bind(X_63,$fot(X_117)),bind(X_76,$fot(ld(X_72,X_72)))]]) ).
cnf(refute_0_537,plain,
mult(ld(X_72,X_72),ld(ld(X_72,X_72),B)) = ld(ld(X_72,X_72),mult(ld(X_72,X_72),B)),
inference(subst,[],[f03:[bind(A,$fot(ld(X_72,X_72)))]]) ).
cnf(refute_0_538,plain,
mult(mult(rd(ld(A,A),ld(X_67,X_67)),ld(X_67,X_67)),X_67) = mult(rd(ld(A,A),ld(X_67,X_67)),X_67),
inference(subst,[],[refute_0_512:[bind(X_63,$fot(rd(ld(A,A),ld(X_67,X_67)))),bind(X_64,$fot(X_67))]]) ).
cnf(refute_0_539,plain,
ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67)))) = mult(rd(ld(A,A),ld(X_67,X_67)),ld(X_67,X_67)),
inference(subst,[],[refute_0_59:[bind(B,$fot(ld(X_67,X_67)))]]) ).
cnf(refute_0_540,plain,
( ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67)))) != mult(rd(ld(A,A),ld(X_67,X_67)),ld(X_67,X_67))
| mult(rd(ld(A,A),ld(X_67,X_67)),ld(X_67,X_67)) = ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67)))) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67)))))),bind(Y,$fot(mult(rd(ld(A,A),ld(X_67,X_67)),ld(X_67,X_67))))]]) ).
cnf(refute_0_541,plain,
mult(rd(ld(A,A),ld(X_67,X_67)),ld(X_67,X_67)) = ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67)))),
inference(resolve,[$cnf( $equal(ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67)))),mult(rd(ld(A,A),ld(X_67,X_67)),ld(X_67,X_67))) )],[refute_0_539,refute_0_540]) ).
cnf(refute_0_542,plain,
( mult(mult(rd(ld(A,A),ld(X_67,X_67)),ld(X_67,X_67)),X_67) != mult(rd(ld(A,A),ld(X_67,X_67)),X_67)
| mult(rd(ld(A,A),ld(X_67,X_67)),ld(X_67,X_67)) != ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67))))
| mult(ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67)))),X_67) = mult(rd(ld(A,A),ld(X_67,X_67)),X_67) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(ld(A,A),ld(X_67,X_67)),ld(X_67,X_67)),X_67),mult(rd(ld(A,A),ld(X_67,X_67)),X_67)) ),[0,0],$fot(ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67)))))]]) ).
cnf(refute_0_543,plain,
( mult(mult(rd(ld(A,A),ld(X_67,X_67)),ld(X_67,X_67)),X_67) != mult(rd(ld(A,A),ld(X_67,X_67)),X_67)
| mult(ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67)))),X_67) = mult(rd(ld(A,A),ld(X_67,X_67)),X_67) ),
inference(resolve,[$cnf( $equal(mult(rd(ld(A,A),ld(X_67,X_67)),ld(X_67,X_67)),ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67))))) )],[refute_0_541,refute_0_542]) ).
cnf(refute_0_544,plain,
mult(ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67)))),X_67) = mult(rd(ld(A,A),ld(X_67,X_67)),X_67),
inference(resolve,[$cnf( $equal(mult(mult(rd(ld(A,A),ld(X_67,X_67)),ld(X_67,X_67)),X_67),mult(rd(ld(A,A),ld(X_67,X_67)),X_67)) )],[refute_0_538,refute_0_543]) ).
cnf(refute_0_545,plain,
mult(ld(X_67,X_67),X_67) = X_67,
inference(subst,[],[refute_0_73:[bind(A,$fot(X_67))]]) ).
cnf(refute_0_546,plain,
ld(ld(X_67,X_67),ld(X_67,X_67)) = ld(X_67,X_67),
inference(subst,[],[refute_0_395:[bind(X_13,$fot(X_67))]]) ).
cnf(refute_0_547,plain,
mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67) = mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67),
introduced(tautology,[refl,[$fot(mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67))]]) ).
cnf(refute_0_548,plain,
( ld(ld(X_67,X_67),ld(X_67,X_67)) != ld(X_67,X_67)
| mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67) != mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67)
| mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67) = mult(ld(X_67,X_67),X_67) ),
introduced(tautology,[equality,[$cnf( $equal(mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67),mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67)) ),[1,0],$fot(ld(X_67,X_67))]]) ).
cnf(refute_0_549,plain,
( ld(ld(X_67,X_67),ld(X_67,X_67)) != ld(X_67,X_67)
| mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67) = mult(ld(X_67,X_67),X_67) ),
inference(resolve,[$cnf( $equal(mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67),mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67)) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67) = mult(ld(X_67,X_67),X_67),
inference(resolve,[$cnf( $equal(ld(ld(X_67,X_67),ld(X_67,X_67)),ld(X_67,X_67)) )],[refute_0_546,refute_0_549]) ).
cnf(refute_0_551,plain,
( mult(ld(X_67,X_67),X_67) != X_67
| mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67) != mult(ld(X_67,X_67),X_67)
| mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67) = X_67 ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67))),bind(Y,$fot(mult(ld(X_67,X_67),X_67))),bind(Z,$fot(X_67))]]) ).
cnf(refute_0_552,plain,
( mult(ld(X_67,X_67),X_67) != X_67
| mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67) = X_67 ),
inference(resolve,[$cnf( $equal(mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67),mult(ld(X_67,X_67),X_67)) )],[refute_0_550,refute_0_551]) ).
cnf(refute_0_553,plain,
mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67) = X_67,
inference(resolve,[$cnf( $equal(mult(ld(X_67,X_67),X_67),X_67) )],[refute_0_545,refute_0_552]) ).
cnf(refute_0_554,plain,
mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67)) = mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67)),
introduced(tautology,[refl,[$fot(mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67)))]]) ).
cnf(refute_0_555,plain,
( mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67)) != mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67))
| mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67) != X_67
| mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67)) = mult(A,X_67) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67)),mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67))) ),[1,1],$fot(X_67)]]) ).
cnf(refute_0_556,plain,
( mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67) != X_67
| mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67)) = mult(A,X_67) ),
inference(resolve,[$cnf( $equal(mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67)),mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67))) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67)) = mult(A,X_67),
inference(resolve,[$cnf( $equal(mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67),X_67) )],[refute_0_553,refute_0_556]) ).
cnf(refute_0_558,plain,
ld(A,mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67))) = ld(A,mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67))),
introduced(tautology,[refl,[$fot(ld(A,mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67))))]]) ).
cnf(refute_0_559,plain,
( ld(A,mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67))) != ld(A,mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67)))
| mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67)) != mult(A,X_67)
| ld(A,mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67))) = ld(A,mult(A,X_67)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67))),ld(A,mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67)))) ),[1,1],$fot(mult(A,X_67))]]) ).
cnf(refute_0_560,plain,
( mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67)) != mult(A,X_67)
| ld(A,mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67))) = ld(A,mult(A,X_67)) ),
inference(resolve,[$cnf( $equal(ld(A,mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67))),ld(A,mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67)))) )],[refute_0_558,refute_0_559]) ).
cnf(refute_0_561,plain,
ld(A,mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67))) = ld(A,mult(A,X_67)),
inference(resolve,[$cnf( $equal(mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67)),mult(A,X_67)) )],[refute_0_557,refute_0_560]) ).
cnf(refute_0_562,plain,
mult(ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67)))),X_67) = ld(A,mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67))),
inference(subst,[],[refute_0_103:[bind(X_31,$fot(A)),bind(X_33,$fot(ld(ld(X_67,X_67),ld(X_67,X_67)))),bind(X_34,$fot(X_67))]]) ).
cnf(refute_0_563,plain,
( ld(A,mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67))) != ld(A,mult(A,X_67))
| mult(ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67)))),X_67) != ld(A,mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67)))
| mult(ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67)))),X_67) = ld(A,mult(A,X_67)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67)))),X_67))),bind(Y,$fot(ld(A,mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67))))),bind(Z,$fot(ld(A,mult(A,X_67))))]]) ).
cnf(refute_0_564,plain,
( ld(A,mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67))) != ld(A,mult(A,X_67))
| mult(ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67)))),X_67) = ld(A,mult(A,X_67)) ),
inference(resolve,[$cnf( $equal(mult(ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67)))),X_67),ld(A,mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67)))) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
mult(ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67)))),X_67) = ld(A,mult(A,X_67)),
inference(resolve,[$cnf( $equal(ld(A,mult(A,mult(ld(ld(X_67,X_67),ld(X_67,X_67)),X_67))),ld(A,mult(A,X_67))) )],[refute_0_561,refute_0_564]) ).
cnf(refute_0_566,plain,
( mult(ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67)))),X_67) != ld(A,mult(A,X_67))
| mult(ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67)))),X_67) != mult(rd(ld(A,A),ld(X_67,X_67)),X_67)
| ld(A,mult(A,X_67)) = mult(rd(ld(A,A),ld(X_67,X_67)),X_67) ),
introduced(tautology,[equality,[$cnf( $equal(mult(ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67)))),X_67),mult(rd(ld(A,A),ld(X_67,X_67)),X_67)) ),[0],$fot(ld(A,mult(A,X_67)))]]) ).
cnf(refute_0_567,plain,
( mult(ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67)))),X_67) != mult(rd(ld(A,A),ld(X_67,X_67)),X_67)
| ld(A,mult(A,X_67)) = mult(rd(ld(A,A),ld(X_67,X_67)),X_67) ),
inference(resolve,[$cnf( $equal(mult(ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67)))),X_67),ld(A,mult(A,X_67))) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
ld(A,mult(A,X_67)) = mult(rd(ld(A,A),ld(X_67,X_67)),X_67),
inference(resolve,[$cnf( $equal(mult(ld(A,mult(A,ld(ld(X_67,X_67),ld(X_67,X_67)))),X_67),mult(rd(ld(A,A),ld(X_67,X_67)),X_67)) )],[refute_0_544,refute_0_567]) ).
cnf(refute_0_569,plain,
mult(mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),ld(X_64,X_64)),X_64) = mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64),
inference(subst,[],[refute_0_512:[bind(X_63,$fot(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64))))]]) ).
cnf(refute_0_570,plain,
mult(rd(mult(X_66,ld(B,B)),B),B) = rd(mult(mult(X_66,ld(B,B)),B),B),
inference(subst,[],[f04:[bind(A,$fot(mult(X_66,ld(B,B))))]]) ).
cnf(refute_0_571,plain,
mult(mult(X_66,ld(B,B)),B) = mult(X_66,B),
inference(subst,[],[refute_0_512:[bind(X_63,$fot(X_66)),bind(X_64,$fot(B))]]) ).
cnf(refute_0_572,plain,
( mult(mult(X_66,ld(B,B)),B) != mult(X_66,B)
| mult(rd(mult(X_66,ld(B,B)),B),B) != rd(mult(mult(X_66,ld(B,B)),B),B)
| mult(rd(mult(X_66,ld(B,B)),B),B) = rd(mult(X_66,B),B) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_66,ld(B,B)),B),B),rd(mult(mult(X_66,ld(B,B)),B),B)) ),[1,0],$fot(mult(X_66,B))]]) ).
cnf(refute_0_573,plain,
( mult(rd(mult(X_66,ld(B,B)),B),B) != rd(mult(mult(X_66,ld(B,B)),B),B)
| mult(rd(mult(X_66,ld(B,B)),B),B) = rd(mult(X_66,B),B) ),
inference(resolve,[$cnf( $equal(mult(mult(X_66,ld(B,B)),B),mult(X_66,B)) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
mult(rd(mult(X_66,ld(B,B)),B),B) = rd(mult(X_66,B),B),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_66,ld(B,B)),B),B),rd(mult(mult(X_66,ld(B,B)),B),B)) )],[refute_0_570,refute_0_573]) ).
cnf(refute_0_575,plain,
rd(mult(X_66,B),B) = mult(rd(X_66,B),B),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_66))]]) ).
cnf(refute_0_576,plain,
( mult(rd(mult(X_66,ld(B,B)),B),B) != rd(mult(X_66,B),B)
| rd(mult(X_66,B),B) != mult(rd(X_66,B),B)
| mult(rd(mult(X_66,ld(B,B)),B),B) = mult(rd(X_66,B),B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(rd(mult(X_66,ld(B,B)),B),B),mult(rd(X_66,B),B)) ),[0],$fot(rd(mult(X_66,B),B))]]) ).
cnf(refute_0_577,plain,
( mult(rd(mult(X_66,ld(B,B)),B),B) != rd(mult(X_66,B),B)
| mult(rd(mult(X_66,ld(B,B)),B),B) = mult(rd(X_66,B),B) ),
inference(resolve,[$cnf( $equal(rd(mult(X_66,B),B),mult(rd(X_66,B),B)) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
mult(rd(mult(X_66,ld(B,B)),B),B) = mult(rd(X_66,B),B),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_66,ld(B,B)),B),B),rd(mult(X_66,B),B)) )],[refute_0_574,refute_0_577]) ).
cnf(refute_0_579,plain,
mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),ld(X_64,X_64)) = mult(rd(X_71,ld(X_64,X_64)),ld(X_64,X_64)),
inference(subst,[],[refute_0_578:[bind(B,$fot(ld(X_64,X_64))),bind(X_66,$fot(X_71))]]) ).
cnf(refute_0_580,plain,
( mult(mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),ld(X_64,X_64)),X_64) != mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64)
| mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),ld(X_64,X_64)) != mult(rd(X_71,ld(X_64,X_64)),ld(X_64,X_64))
| mult(mult(rd(X_71,ld(X_64,X_64)),ld(X_64,X_64)),X_64) = mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),ld(X_64,X_64)),X_64),mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64)) ),[0,0],$fot(mult(rd(X_71,ld(X_64,X_64)),ld(X_64,X_64)))]]) ).
cnf(refute_0_581,plain,
( mult(mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),ld(X_64,X_64)),X_64) != mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64)
| mult(mult(rd(X_71,ld(X_64,X_64)),ld(X_64,X_64)),X_64) = mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64) ),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),ld(X_64,X_64)),mult(rd(X_71,ld(X_64,X_64)),ld(X_64,X_64))) )],[refute_0_579,refute_0_580]) ).
cnf(refute_0_582,plain,
mult(mult(rd(X_71,ld(X_64,X_64)),ld(X_64,X_64)),X_64) = mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64),
inference(resolve,[$cnf( $equal(mult(mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),ld(X_64,X_64)),X_64),mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64)) )],[refute_0_569,refute_0_581]) ).
cnf(refute_0_583,plain,
mult(mult(rd(X_71,ld(X_64,X_64)),ld(X_64,X_64)),X_64) = mult(rd(X_71,ld(X_64,X_64)),X_64),
inference(subst,[],[refute_0_512:[bind(X_63,$fot(rd(X_71,ld(X_64,X_64))))]]) ).
cnf(refute_0_584,plain,
( mult(mult(rd(X_71,ld(X_64,X_64)),ld(X_64,X_64)),X_64) != mult(rd(X_71,ld(X_64,X_64)),X_64)
| mult(mult(rd(X_71,ld(X_64,X_64)),ld(X_64,X_64)),X_64) != mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64)
| mult(rd(X_71,ld(X_64,X_64)),X_64) = mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64) ),
introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(X_71,ld(X_64,X_64)),ld(X_64,X_64)),X_64),mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64)) ),[0],$fot(mult(rd(X_71,ld(X_64,X_64)),X_64))]]) ).
cnf(refute_0_585,plain,
( mult(mult(rd(X_71,ld(X_64,X_64)),ld(X_64,X_64)),X_64) != mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64)
| mult(rd(X_71,ld(X_64,X_64)),X_64) = mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64) ),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_71,ld(X_64,X_64)),ld(X_64,X_64)),X_64),mult(rd(X_71,ld(X_64,X_64)),X_64)) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
mult(mult(X_71,ld(X_64,X_64)),X_64) = mult(X_71,X_64),
inference(subst,[],[refute_0_512:[bind(X_63,$fot(X_71))]]) ).
cnf(refute_0_587,plain,
mult(rd(X_71,ld(X_64,X_64)),ld(X_64,X_64)) = mult(X_71,ld(X_64,X_64)),
inference(subst,[],[refute_0_455:[bind(X_57,$fot(X_71)),bind(X_59,$fot(X_64))]]) ).
cnf(refute_0_588,plain,
rd(mult(X_71,ld(X_64,X_64)),ld(X_64,X_64)) = mult(rd(X_71,ld(X_64,X_64)),ld(X_64,X_64)),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_71)),bind(B,$fot(ld(X_64,X_64)))]]) ).
cnf(refute_0_589,plain,
( mult(rd(X_71,ld(X_64,X_64)),ld(X_64,X_64)) != mult(X_71,ld(X_64,X_64))
| rd(mult(X_71,ld(X_64,X_64)),ld(X_64,X_64)) != mult(rd(X_71,ld(X_64,X_64)),ld(X_64,X_64))
| rd(mult(X_71,ld(X_64,X_64)),ld(X_64,X_64)) = mult(X_71,ld(X_64,X_64)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(rd(mult(X_71,ld(X_64,X_64)),ld(X_64,X_64)))),bind(Y,$fot(mult(rd(X_71,ld(X_64,X_64)),ld(X_64,X_64)))),bind(Z,$fot(mult(X_71,ld(X_64,X_64))))]]) ).
cnf(refute_0_590,plain,
( mult(rd(X_71,ld(X_64,X_64)),ld(X_64,X_64)) != mult(X_71,ld(X_64,X_64))
| rd(mult(X_71,ld(X_64,X_64)),ld(X_64,X_64)) = mult(X_71,ld(X_64,X_64)) ),
inference(resolve,[$cnf( $equal(rd(mult(X_71,ld(X_64,X_64)),ld(X_64,X_64)),mult(rd(X_71,ld(X_64,X_64)),ld(X_64,X_64))) )],[refute_0_588,refute_0_589]) ).
cnf(refute_0_591,plain,
rd(mult(X_71,ld(X_64,X_64)),ld(X_64,X_64)) = mult(X_71,ld(X_64,X_64)),
inference(resolve,[$cnf( $equal(mult(rd(X_71,ld(X_64,X_64)),ld(X_64,X_64)),mult(X_71,ld(X_64,X_64))) )],[refute_0_587,refute_0_590]) ).
cnf(refute_0_592,plain,
mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))) = mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),
introduced(tautology,[refl,[$fot(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))))]]) ).
cnf(refute_0_593,plain,
( ld(ld(X_64,X_64),ld(X_64,X_64)) != ld(X_64,X_64)
| mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))) != mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64)))
| mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))) = mult(X_71,ld(X_64,X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64)))) ),[1,1],$fot(ld(X_64,X_64))]]) ).
cnf(refute_0_594,plain,
( ld(ld(X_64,X_64),ld(X_64,X_64)) != ld(X_64,X_64)
| mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))) = mult(X_71,ld(X_64,X_64)) ),
inference(resolve,[$cnf( $equal(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64)))) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))) = mult(X_71,ld(X_64,X_64)),
inference(resolve,[$cnf( $equal(ld(ld(X_64,X_64),ld(X_64,X_64)),ld(X_64,X_64)) )],[refute_0_475,refute_0_594]) ).
cnf(refute_0_596,plain,
rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)) = rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),
introduced(tautology,[refl,[$fot(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)))]]) ).
cnf(refute_0_597,plain,
( mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))) != mult(X_71,ld(X_64,X_64))
| rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)) != rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64))
| rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)) = rd(mult(X_71,ld(X_64,X_64)),ld(X_64,X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64))) ),[1,0],$fot(mult(X_71,ld(X_64,X_64)))]]) ).
cnf(refute_0_598,plain,
( mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))) != mult(X_71,ld(X_64,X_64))
| rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)) = rd(mult(X_71,ld(X_64,X_64)),ld(X_64,X_64)) ),
inference(resolve,[$cnf( $equal(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64))) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)) = rd(mult(X_71,ld(X_64,X_64)),ld(X_64,X_64)),
inference(resolve,[$cnf( $equal(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),mult(X_71,ld(X_64,X_64))) )],[refute_0_595,refute_0_598]) ).
cnf(refute_0_600,plain,
( rd(mult(X_71,ld(X_64,X_64)),ld(X_64,X_64)) != mult(X_71,ld(X_64,X_64))
| rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)) != rd(mult(X_71,ld(X_64,X_64)),ld(X_64,X_64))
| rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)) = mult(X_71,ld(X_64,X_64)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)))),bind(Y,$fot(rd(mult(X_71,ld(X_64,X_64)),ld(X_64,X_64)))),bind(Z,$fot(mult(X_71,ld(X_64,X_64))))]]) ).
cnf(refute_0_601,plain,
( rd(mult(X_71,ld(X_64,X_64)),ld(X_64,X_64)) != mult(X_71,ld(X_64,X_64))
| rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)) = mult(X_71,ld(X_64,X_64)) ),
inference(resolve,[$cnf( $equal(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),rd(mult(X_71,ld(X_64,X_64)),ld(X_64,X_64))) )],[refute_0_599,refute_0_600]) ).
cnf(refute_0_602,plain,
rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)) = mult(X_71,ld(X_64,X_64)),
inference(resolve,[$cnf( $equal(rd(mult(X_71,ld(X_64,X_64)),ld(X_64,X_64)),mult(X_71,ld(X_64,X_64))) )],[refute_0_591,refute_0_601]) ).
cnf(refute_0_603,plain,
mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64) = mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64),
introduced(tautology,[refl,[$fot(mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64))]]) ).
cnf(refute_0_604,plain,
( mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64) != mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64)
| rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)) != mult(X_71,ld(X_64,X_64))
| mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64) = mult(mult(X_71,ld(X_64,X_64)),X_64) ),
introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64),mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64)) ),[1,0],$fot(mult(X_71,ld(X_64,X_64)))]]) ).
cnf(refute_0_605,plain,
( rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)) != mult(X_71,ld(X_64,X_64))
| mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64) = mult(mult(X_71,ld(X_64,X_64)),X_64) ),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64),mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64)) )],[refute_0_603,refute_0_604]) ).
cnf(refute_0_606,plain,
mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64) = mult(mult(X_71,ld(X_64,X_64)),X_64),
inference(resolve,[$cnf( $equal(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),mult(X_71,ld(X_64,X_64))) )],[refute_0_602,refute_0_605]) ).
cnf(refute_0_607,plain,
( mult(mult(X_71,ld(X_64,X_64)),X_64) != mult(X_71,X_64)
| mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64) != mult(mult(X_71,ld(X_64,X_64)),X_64)
| mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64) = mult(X_71,X_64) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64))),bind(Y,$fot(mult(mult(X_71,ld(X_64,X_64)),X_64))),bind(Z,$fot(mult(X_71,X_64)))]]) ).
cnf(refute_0_608,plain,
( mult(mult(X_71,ld(X_64,X_64)),X_64) != mult(X_71,X_64)
| mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64) = mult(X_71,X_64) ),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64),mult(mult(X_71,ld(X_64,X_64)),X_64)) )],[refute_0_606,refute_0_607]) ).
cnf(refute_0_609,plain,
mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64) = mult(X_71,X_64),
inference(resolve,[$cnf( $equal(mult(mult(X_71,ld(X_64,X_64)),X_64),mult(X_71,X_64)) )],[refute_0_586,refute_0_608]) ).
cnf(refute_0_610,plain,
( mult(rd(X_71,ld(X_64,X_64)),X_64) != mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64)
| mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64) != mult(X_71,X_64)
| mult(rd(X_71,ld(X_64,X_64)),X_64) = mult(X_71,X_64) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(rd(X_71,ld(X_64,X_64)),X_64),mult(X_71,X_64)) ),[0],$fot(mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64))]]) ).
cnf(refute_0_611,plain,
( mult(rd(X_71,ld(X_64,X_64)),X_64) != mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64)
| mult(rd(X_71,ld(X_64,X_64)),X_64) = mult(X_71,X_64) ),
inference(resolve,[$cnf( $equal(mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64),mult(X_71,X_64)) )],[refute_0_609,refute_0_610]) ).
cnf(refute_0_612,plain,
( mult(mult(rd(X_71,ld(X_64,X_64)),ld(X_64,X_64)),X_64) != mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64)
| mult(rd(X_71,ld(X_64,X_64)),X_64) = mult(X_71,X_64) ),
inference(resolve,[$cnf( $equal(mult(rd(X_71,ld(X_64,X_64)),X_64),mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64)) )],[refute_0_585,refute_0_611]) ).
cnf(refute_0_613,plain,
mult(rd(X_71,ld(X_64,X_64)),X_64) = mult(X_71,X_64),
inference(resolve,[$cnf( $equal(mult(mult(rd(X_71,ld(X_64,X_64)),ld(X_64,X_64)),X_64),mult(rd(mult(X_71,ld(ld(X_64,X_64),ld(X_64,X_64))),ld(X_64,X_64)),X_64)) )],[refute_0_582,refute_0_612]) ).
cnf(refute_0_614,plain,
mult(rd(ld(A,A),ld(X_67,X_67)),X_67) = mult(ld(A,A),X_67),
inference(subst,[],[refute_0_613:[bind(X_64,$fot(X_67)),bind(X_71,$fot(ld(A,A)))]]) ).
cnf(refute_0_615,plain,
( ld(A,mult(A,X_67)) != mult(rd(ld(A,A),ld(X_67,X_67)),X_67)
| mult(rd(ld(A,A),ld(X_67,X_67)),X_67) != mult(ld(A,A),X_67)
| ld(A,mult(A,X_67)) = mult(ld(A,A),X_67) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(A,mult(A,X_67)),mult(ld(A,A),X_67)) ),[0],$fot(mult(rd(ld(A,A),ld(X_67,X_67)),X_67))]]) ).
cnf(refute_0_616,plain,
( ld(A,mult(A,X_67)) != mult(rd(ld(A,A),ld(X_67,X_67)),X_67)
| ld(A,mult(A,X_67)) = mult(ld(A,A),X_67) ),
inference(resolve,[$cnf( $equal(mult(rd(ld(A,A),ld(X_67,X_67)),X_67),mult(ld(A,A),X_67)) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
ld(A,mult(A,X_67)) = mult(ld(A,A),X_67),
inference(resolve,[$cnf( $equal(ld(A,mult(A,X_67)),mult(rd(ld(A,A),ld(X_67,X_67)),X_67)) )],[refute_0_568,refute_0_616]) ).
cnf(refute_0_618,plain,
ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))) = mult(ld(X_72,X_72),ld(ld(X_72,X_72),B)),
inference(subst,[],[refute_0_617:[bind(A,$fot(X_72)),bind(X_67,$fot(ld(ld(X_72,X_72),B)))]]) ).
cnf(refute_0_619,plain,
( ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))) != mult(ld(X_72,X_72),ld(ld(X_72,X_72),B))
| mult(ld(X_72,X_72),ld(ld(X_72,X_72),B)) = ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))))),bind(Y,$fot(mult(ld(X_72,X_72),ld(ld(X_72,X_72),B))))]]) ).
cnf(refute_0_620,plain,
mult(ld(X_72,X_72),ld(ld(X_72,X_72),B)) = ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))),
inference(resolve,[$cnf( $equal(ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))),mult(ld(X_72,X_72),ld(ld(X_72,X_72),B))) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
( mult(ld(X_72,X_72),ld(ld(X_72,X_72),B)) != ld(X_72,mult(X_72,ld(ld(X_72,X_72),B)))
| mult(ld(X_72,X_72),ld(ld(X_72,X_72),B)) != ld(ld(X_72,X_72),mult(ld(X_72,X_72),B))
| ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))) = ld(ld(X_72,X_72),mult(ld(X_72,X_72),B)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(ld(X_72,X_72),ld(ld(X_72,X_72),B)),ld(ld(X_72,X_72),mult(ld(X_72,X_72),B))) ),[0],$fot(ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))))]]) ).
cnf(refute_0_622,plain,
( mult(ld(X_72,X_72),ld(ld(X_72,X_72),B)) != ld(ld(X_72,X_72),mult(ld(X_72,X_72),B))
| ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))) = ld(ld(X_72,X_72),mult(ld(X_72,X_72),B)) ),
inference(resolve,[$cnf( $equal(mult(ld(X_72,X_72),ld(ld(X_72,X_72),B)),ld(X_72,mult(X_72,ld(ld(X_72,X_72),B)))) )],[refute_0_620,refute_0_621]) ).
cnf(refute_0_623,plain,
ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))) = ld(ld(X_72,X_72),mult(ld(X_72,X_72),B)),
inference(resolve,[$cnf( $equal(mult(ld(X_72,X_72),ld(ld(X_72,X_72),B)),ld(ld(X_72,X_72),mult(ld(X_72,X_72),B))) )],[refute_0_537,refute_0_622]) ).
cnf(refute_0_624,plain,
ld(ld(X_72,X_72),mult(ld(X_72,X_72),B)) = ld(X_72,mult(X_72,B)),
inference(subst,[],[refute_0_186:[bind(X_31,$fot(X_72)),bind(X_32,$fot(X_72)),bind(X_34,$fot(B))]]) ).
cnf(refute_0_625,plain,
( ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))) != ld(ld(X_72,X_72),mult(ld(X_72,X_72),B))
| ld(ld(X_72,X_72),mult(ld(X_72,X_72),B)) != ld(X_72,mult(X_72,B))
| ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))) = ld(X_72,mult(X_72,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))),ld(X_72,mult(X_72,B))) ),[0],$fot(ld(ld(X_72,X_72),mult(ld(X_72,X_72),B)))]]) ).
cnf(refute_0_626,plain,
( ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))) != ld(ld(X_72,X_72),mult(ld(X_72,X_72),B))
| ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))) = ld(X_72,mult(X_72,B)) ),
inference(resolve,[$cnf( $equal(ld(ld(X_72,X_72),mult(ld(X_72,X_72),B)),ld(X_72,mult(X_72,B))) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))) = ld(X_72,mult(X_72,B)),
inference(resolve,[$cnf( $equal(ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))),ld(ld(X_72,X_72),mult(ld(X_72,X_72),B))) )],[refute_0_623,refute_0_626]) ).
cnf(refute_0_628,plain,
ld(ld(X_74,X_75),mult(ld(X_74,X_75),ld(ld(X_74,X_75),B))) = ld(X_74,mult(X_74,ld(ld(X_74,X_75),B))),
inference(subst,[],[refute_0_186:[bind(X_31,$fot(X_74)),bind(X_32,$fot(X_75)),bind(X_34,$fot(ld(ld(X_74,X_75),B)))]]) ).
cnf(refute_0_629,plain,
mult(ld(X_74,X_75),ld(ld(X_74,X_75),B)) = ld(ld(X_74,X_75),mult(ld(X_74,X_75),B)),
inference(subst,[],[f03:[bind(A,$fot(ld(X_74,X_75)))]]) ).
cnf(refute_0_630,plain,
( ld(ld(X_74,X_75),mult(ld(X_74,X_75),ld(ld(X_74,X_75),B))) != ld(X_74,mult(X_74,ld(ld(X_74,X_75),B)))
| mult(ld(X_74,X_75),ld(ld(X_74,X_75),B)) != ld(ld(X_74,X_75),mult(ld(X_74,X_75),B))
| ld(ld(X_74,X_75),ld(ld(X_74,X_75),mult(ld(X_74,X_75),B))) = ld(X_74,mult(X_74,ld(ld(X_74,X_75),B))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_74,X_75),mult(ld(X_74,X_75),ld(ld(X_74,X_75),B))),ld(X_74,mult(X_74,ld(ld(X_74,X_75),B)))) ),[0,1],$fot(ld(ld(X_74,X_75),mult(ld(X_74,X_75),B)))]]) ).
cnf(refute_0_631,plain,
( ld(ld(X_74,X_75),mult(ld(X_74,X_75),ld(ld(X_74,X_75),B))) != ld(X_74,mult(X_74,ld(ld(X_74,X_75),B)))
| ld(ld(X_74,X_75),ld(ld(X_74,X_75),mult(ld(X_74,X_75),B))) = ld(X_74,mult(X_74,ld(ld(X_74,X_75),B))) ),
inference(resolve,[$cnf( $equal(mult(ld(X_74,X_75),ld(ld(X_74,X_75),B)),ld(ld(X_74,X_75),mult(ld(X_74,X_75),B))) )],[refute_0_629,refute_0_630]) ).
cnf(refute_0_632,plain,
ld(ld(X_74,X_75),ld(ld(X_74,X_75),mult(ld(X_74,X_75),B))) = ld(X_74,mult(X_74,ld(ld(X_74,X_75),B))),
inference(resolve,[$cnf( $equal(ld(ld(X_74,X_75),mult(ld(X_74,X_75),ld(ld(X_74,X_75),B))),ld(X_74,mult(X_74,ld(ld(X_74,X_75),B)))) )],[refute_0_628,refute_0_631]) ).
cnf(refute_0_633,plain,
ld(ld(X_74,X_75),ld(ld(X_74,X_75),mult(ld(X_74,X_75),B))) = ld(ld(X_74,X_75),B),
inference(subst,[],[refute_0_157:[bind(X_31,$fot(ld(X_74,X_75))),bind(X_32,$fot(B))]]) ).
cnf(refute_0_634,plain,
( ld(ld(X_74,X_75),ld(ld(X_74,X_75),mult(ld(X_74,X_75),B))) != ld(X_74,mult(X_74,ld(ld(X_74,X_75),B)))
| ld(ld(X_74,X_75),ld(ld(X_74,X_75),mult(ld(X_74,X_75),B))) != ld(ld(X_74,X_75),B)
| ld(ld(X_74,X_75),B) = ld(X_74,mult(X_74,ld(ld(X_74,X_75),B))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_74,X_75),ld(ld(X_74,X_75),mult(ld(X_74,X_75),B))),ld(X_74,mult(X_74,ld(ld(X_74,X_75),B)))) ),[0],$fot(ld(ld(X_74,X_75),B))]]) ).
cnf(refute_0_635,plain,
( ld(ld(X_74,X_75),ld(ld(X_74,X_75),mult(ld(X_74,X_75),B))) != ld(X_74,mult(X_74,ld(ld(X_74,X_75),B)))
| ld(ld(X_74,X_75),B) = ld(X_74,mult(X_74,ld(ld(X_74,X_75),B))) ),
inference(resolve,[$cnf( $equal(ld(ld(X_74,X_75),ld(ld(X_74,X_75),mult(ld(X_74,X_75),B))),ld(ld(X_74,X_75),B)) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
ld(ld(X_74,X_75),B) = ld(X_74,mult(X_74,ld(ld(X_74,X_75),B))),
inference(resolve,[$cnf( $equal(ld(ld(X_74,X_75),ld(ld(X_74,X_75),mult(ld(X_74,X_75),B))),ld(X_74,mult(X_74,ld(ld(X_74,X_75),B)))) )],[refute_0_632,refute_0_635]) ).
cnf(refute_0_637,plain,
( ld(ld(X_74,X_75),B) != ld(X_74,mult(X_74,ld(ld(X_74,X_75),B)))
| ld(X_74,mult(X_74,ld(ld(X_74,X_75),B))) = ld(ld(X_74,X_75),B) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(ld(ld(X_74,X_75),B))),bind(Y,$fot(ld(X_74,mult(X_74,ld(ld(X_74,X_75),B)))))]]) ).
cnf(refute_0_638,plain,
ld(X_74,mult(X_74,ld(ld(X_74,X_75),B))) = ld(ld(X_74,X_75),B),
inference(resolve,[$cnf( $equal(ld(ld(X_74,X_75),B),ld(X_74,mult(X_74,ld(ld(X_74,X_75),B)))) )],[refute_0_636,refute_0_637]) ).
cnf(refute_0_639,plain,
ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))) = ld(ld(X_72,X_72),B),
inference(subst,[],[refute_0_638:[bind(X_74,$fot(X_72)),bind(X_75,$fot(X_72))]]) ).
cnf(refute_0_640,plain,
( ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))) != ld(X_72,mult(X_72,B))
| ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))) != ld(ld(X_72,X_72),B)
| ld(ld(X_72,X_72),B) = ld(X_72,mult(X_72,B)) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))),ld(X_72,mult(X_72,B))) ),[0],$fot(ld(ld(X_72,X_72),B))]]) ).
cnf(refute_0_641,plain,
( ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))) != ld(X_72,mult(X_72,B))
| ld(ld(X_72,X_72),B) = ld(X_72,mult(X_72,B)) ),
inference(resolve,[$cnf( $equal(ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))),ld(ld(X_72,X_72),B)) )],[refute_0_639,refute_0_640]) ).
cnf(refute_0_642,plain,
ld(ld(X_72,X_72),B) = ld(X_72,mult(X_72,B)),
inference(resolve,[$cnf( $equal(ld(X_72,mult(X_72,ld(ld(X_72,X_72),B))),ld(X_72,mult(X_72,B))) )],[refute_0_627,refute_0_641]) ).
cnf(refute_0_643,plain,
ld(ld(X_72,X_72),ld(X_72,X_72)) = ld(X_72,mult(X_72,ld(X_72,X_72))),
inference(subst,[],[refute_0_642:[bind(B,$fot(ld(X_72,X_72)))]]) ).
cnf(refute_0_644,plain,
( ld(X_117,mult(X_117,ld(X_72,X_72))) != ld(mult(X_117,ld(ld(X_72,X_72),ld(X_72,X_72))),mult(X_117,ld(X_72,X_72)))
| ld(ld(X_72,X_72),ld(X_72,X_72)) != ld(X_72,mult(X_72,ld(X_72,X_72)))
| ld(X_117,mult(X_117,ld(X_72,X_72))) = ld(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,X_72))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_117,mult(X_117,ld(X_72,X_72))),ld(mult(X_117,ld(ld(X_72,X_72),ld(X_72,X_72))),mult(X_117,ld(X_72,X_72)))) ),[1,0,1],$fot(ld(X_72,mult(X_72,ld(X_72,X_72))))]]) ).
cnf(refute_0_645,plain,
( ld(X_117,mult(X_117,ld(X_72,X_72))) != ld(mult(X_117,ld(ld(X_72,X_72),ld(X_72,X_72))),mult(X_117,ld(X_72,X_72)))
| ld(X_117,mult(X_117,ld(X_72,X_72))) = ld(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,X_72))) ),
inference(resolve,[$cnf( $equal(ld(ld(X_72,X_72),ld(X_72,X_72)),ld(X_72,mult(X_72,ld(X_72,X_72)))) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
ld(X_117,mult(X_117,ld(X_72,X_72))) = ld(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,X_72))),
inference(resolve,[$cnf( $equal(ld(X_117,mult(X_117,ld(X_72,X_72))),ld(mult(X_117,ld(ld(X_72,X_72),ld(X_72,X_72))),mult(X_117,ld(X_72,X_72)))) )],[refute_0_536,refute_0_645]) ).
cnf(refute_0_647,plain,
ld(X_72,mult(X_72,X_72)) = X_72,
inference(subst,[],[f01:[bind(A,$fot(X_72))]]) ).
cnf(refute_0_648,plain,
mult(X_72,ld(X_72,X_72)) = ld(X_72,mult(X_72,X_72)),
inference(subst,[],[f03:[bind(A,$fot(X_72)),bind(B,$fot(X_72))]]) ).
cnf(refute_0_649,plain,
( ld(X_72,mult(X_72,X_72)) != X_72
| mult(X_72,ld(X_72,X_72)) != ld(X_72,mult(X_72,X_72))
| mult(X_72,ld(X_72,X_72)) = X_72 ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(X_72,ld(X_72,X_72)))),bind(Y,$fot(ld(X_72,mult(X_72,X_72)))),bind(Z,$fot(X_72))]]) ).
cnf(refute_0_650,plain,
( ld(X_72,mult(X_72,X_72)) != X_72
| mult(X_72,ld(X_72,X_72)) = X_72 ),
inference(resolve,[$cnf( $equal(mult(X_72,ld(X_72,X_72)),ld(X_72,mult(X_72,X_72))) )],[refute_0_648,refute_0_649]) ).
cnf(refute_0_651,plain,
mult(X_72,ld(X_72,X_72)) = X_72,
inference(resolve,[$cnf( $equal(ld(X_72,mult(X_72,X_72)),X_72) )],[refute_0_647,refute_0_650]) ).
cnf(refute_0_652,plain,
ld(X_72,mult(X_72,ld(X_72,X_72))) = ld(X_72,mult(X_72,ld(X_72,X_72))),
introduced(tautology,[refl,[$fot(ld(X_72,mult(X_72,ld(X_72,X_72))))]]) ).
cnf(refute_0_653,plain,
( ld(X_72,mult(X_72,ld(X_72,X_72))) != ld(X_72,mult(X_72,ld(X_72,X_72)))
| mult(X_72,ld(X_72,X_72)) != X_72
| ld(X_72,mult(X_72,ld(X_72,X_72))) = ld(X_72,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_72,mult(X_72,ld(X_72,X_72))),ld(X_72,mult(X_72,ld(X_72,X_72)))) ),[1,1],$fot(X_72)]]) ).
cnf(refute_0_654,plain,
( mult(X_72,ld(X_72,X_72)) != X_72
| ld(X_72,mult(X_72,ld(X_72,X_72))) = ld(X_72,X_72) ),
inference(resolve,[$cnf( $equal(ld(X_72,mult(X_72,ld(X_72,X_72))),ld(X_72,mult(X_72,ld(X_72,X_72)))) )],[refute_0_652,refute_0_653]) ).
cnf(refute_0_655,plain,
ld(X_72,mult(X_72,ld(X_72,X_72))) = ld(X_72,X_72),
inference(resolve,[$cnf( $equal(mult(X_72,ld(X_72,X_72)),X_72) )],[refute_0_651,refute_0_654]) ).
cnf(refute_0_656,plain,
mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))) = mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),
introduced(tautology,[refl,[$fot(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))))]]) ).
cnf(refute_0_657,plain,
( ld(X_72,mult(X_72,ld(X_72,X_72))) != ld(X_72,X_72)
| mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))) != mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72))))
| mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))) = mult(X_117,ld(X_72,X_72)) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72))))) ),[1,1],$fot(ld(X_72,X_72))]]) ).
cnf(refute_0_658,plain,
( ld(X_72,mult(X_72,ld(X_72,X_72))) != ld(X_72,X_72)
| mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))) = mult(X_117,ld(X_72,X_72)) ),
inference(resolve,[$cnf( $equal(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72))))) )],[refute_0_656,refute_0_657]) ).
cnf(refute_0_659,plain,
mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))) = mult(X_117,ld(X_72,X_72)),
inference(resolve,[$cnf( $equal(ld(X_72,mult(X_72,ld(X_72,X_72))),ld(X_72,X_72)) )],[refute_0_655,refute_0_658]) ).
cnf(refute_0_660,plain,
ld(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,X_72))) = ld(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,X_72))),
introduced(tautology,[refl,[$fot(ld(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,X_72))))]]) ).
cnf(refute_0_661,plain,
( ld(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,X_72))) != ld(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,X_72)))
| mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))) != mult(X_117,ld(X_72,X_72))
| ld(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,X_72))) = ld(mult(X_117,ld(X_72,X_72)),mult(X_117,ld(X_72,X_72))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,X_72))),ld(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,X_72)))) ),[1,0],$fot(mult(X_117,ld(X_72,X_72)))]]) ).
cnf(refute_0_662,plain,
( mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))) != mult(X_117,ld(X_72,X_72))
| ld(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,X_72))) = ld(mult(X_117,ld(X_72,X_72)),mult(X_117,ld(X_72,X_72))) ),
inference(resolve,[$cnf( $equal(ld(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,X_72))),ld(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,X_72)))) )],[refute_0_660,refute_0_661]) ).
cnf(refute_0_663,plain,
ld(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,X_72))) = ld(mult(X_117,ld(X_72,X_72)),mult(X_117,ld(X_72,X_72))),
inference(resolve,[$cnf( $equal(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,X_72))) )],[refute_0_659,refute_0_662]) ).
cnf(refute_0_664,plain,
( ld(X_117,mult(X_117,ld(X_72,X_72))) != ld(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,X_72)))
| ld(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,X_72))) != ld(mult(X_117,ld(X_72,X_72)),mult(X_117,ld(X_72,X_72)))
| ld(X_117,mult(X_117,ld(X_72,X_72))) = ld(mult(X_117,ld(X_72,X_72)),mult(X_117,ld(X_72,X_72))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(X_117,mult(X_117,ld(X_72,X_72))),ld(mult(X_117,ld(X_72,X_72)),mult(X_117,ld(X_72,X_72)))) ),[0],$fot(ld(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,X_72))))]]) ).
cnf(refute_0_665,plain,
( ld(X_117,mult(X_117,ld(X_72,X_72))) != ld(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,X_72)))
| ld(X_117,mult(X_117,ld(X_72,X_72))) = ld(mult(X_117,ld(X_72,X_72)),mult(X_117,ld(X_72,X_72))) ),
inference(resolve,[$cnf( $equal(ld(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,X_72))),ld(mult(X_117,ld(X_72,X_72)),mult(X_117,ld(X_72,X_72)))) )],[refute_0_663,refute_0_664]) ).
cnf(refute_0_666,plain,
ld(X_117,mult(X_117,ld(X_72,X_72))) = ld(mult(X_117,ld(X_72,X_72)),mult(X_117,ld(X_72,X_72))),
inference(resolve,[$cnf( $equal(ld(X_117,mult(X_117,ld(X_72,X_72))),ld(mult(X_117,ld(X_72,mult(X_72,ld(X_72,X_72)))),mult(X_117,ld(X_72,X_72)))) )],[refute_0_646,refute_0_665]) ).
cnf(refute_0_667,plain,
ld(X_204,mult(X_204,ld(X_205,X_205))) = ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),
inference(subst,[],[refute_0_666:[bind(X_117,$fot(X_204)),bind(X_72,$fot(X_205))]]) ).
cnf(refute_0_668,plain,
( ld(X_204,mult(X_204,ld(X_205,X_205))) != ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205)))
| ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))) = ld(X_204,mult(X_204,ld(X_205,X_205))) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(ld(X_204,mult(X_204,ld(X_205,X_205))))),bind(Y,$fot(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205)))))]]) ).
cnf(refute_0_669,plain,
ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))) = ld(X_204,mult(X_204,ld(X_205,X_205))),
inference(resolve,[$cnf( $equal(ld(X_204,mult(X_204,ld(X_205,X_205))),ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205)))) )],[refute_0_667,refute_0_668]) ).
cnf(refute_0_670,plain,
( ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))) != ld(X_204,mult(X_204,ld(X_205,X_205)))
| ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))) != mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34)
| ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))) = mult(ld(X_204,mult(X_204,ld(X_205,X_205))),X_34) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34)) ),[1,0],$fot(ld(X_204,mult(X_204,ld(X_205,X_205))))]]) ).
cnf(refute_0_671,plain,
( ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))) != mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34)
| ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))) = mult(ld(X_204,mult(X_204,ld(X_205,X_205))),X_34) ),
inference(resolve,[$cnf( $equal(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),ld(X_204,mult(X_204,ld(X_205,X_205)))) )],[refute_0_669,refute_0_670]) ).
cnf(refute_0_672,plain,
ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))) = mult(ld(X_204,mult(X_204,ld(X_205,X_205))),X_34),
inference(resolve,[$cnf( $equal(ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34)) )],[refute_0_166,refute_0_671]) ).
cnf(refute_0_673,plain,
ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),X_34)) = ld(X_204,mult(X_204,X_34)),
inference(subst,[],[refute_0_528:[bind(X_34,$fot(ld(X_205,X_205))),bind(X_74,$fot(X_204)),bind(X_76,$fot(X_34))]]) ).
cnf(refute_0_674,plain,
( ld(A,mult(A,X_67)) != mult(ld(A,A),X_67)
| mult(ld(A,A),X_67) = ld(A,mult(A,X_67)) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(ld(A,mult(A,X_67)))),bind(Y,$fot(mult(ld(A,A),X_67)))]]) ).
cnf(refute_0_675,plain,
mult(ld(A,A),X_67) = ld(A,mult(A,X_67)),
inference(resolve,[$cnf( $equal(ld(A,mult(A,X_67)),mult(ld(A,A),X_67)) )],[refute_0_617,refute_0_674]) ).
cnf(refute_0_676,plain,
mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34) = ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),X_34)),
inference(subst,[],[refute_0_675:[bind(A,$fot(mult(X_204,ld(X_205,X_205)))),bind(X_67,$fot(X_34))]]) ).
cnf(refute_0_677,plain,
( ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),X_34)) != ld(X_204,mult(X_204,X_34))
| mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34) != ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),X_34))
| mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34) = ld(X_204,mult(X_204,X_34)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))),bind(Y,$fot(ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),X_34)))),bind(Z,$fot(ld(X_204,mult(X_204,X_34))))]]) ).
cnf(refute_0_678,plain,
( ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),X_34)) != ld(X_204,mult(X_204,X_34))
| mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34) = ld(X_204,mult(X_204,X_34)) ),
inference(resolve,[$cnf( $equal(mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34),ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),X_34))) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34) = ld(X_204,mult(X_204,X_34)),
inference(resolve,[$cnf( $equal(ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),X_34)),ld(X_204,mult(X_204,X_34))) )],[refute_0_673,refute_0_678]) ).
cnf(refute_0_680,plain,
ld(mult(X_156,X_155),mult(mult(X_156,X_155),mult(ld(mult(X_156,X_155),B),X_34))) = mult(ld(mult(X_156,X_155),B),X_34),
inference(subst,[],[refute_0_165:[bind(X_31,$fot(mult(X_156,X_155)))]]) ).
cnf(refute_0_681,plain,
ld(mult(X_156,X_155),mult(mult(X_156,X_155),mult(ld(mult(X_156,X_155),B),X_34))) = ld(X_156,mult(X_156,mult(ld(mult(X_156,X_155),B),X_34))),
inference(subst,[],[refute_0_528:[bind(X_34,$fot(X_155)),bind(X_74,$fot(X_156)),bind(X_76,$fot(mult(ld(mult(X_156,X_155),B),X_34)))]]) ).
cnf(refute_0_682,plain,
( ld(mult(X_156,X_155),mult(mult(X_156,X_155),mult(ld(mult(X_156,X_155),B),X_34))) != ld(X_156,mult(X_156,mult(ld(mult(X_156,X_155),B),X_34)))
| ld(mult(X_156,X_155),mult(mult(X_156,X_155),mult(ld(mult(X_156,X_155),B),X_34))) != mult(ld(mult(X_156,X_155),B),X_34)
| ld(X_156,mult(X_156,mult(ld(mult(X_156,X_155),B),X_34))) = mult(ld(mult(X_156,X_155),B),X_34) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_156,X_155),mult(mult(X_156,X_155),mult(ld(mult(X_156,X_155),B),X_34))),mult(ld(mult(X_156,X_155),B),X_34)) ),[0],$fot(ld(X_156,mult(X_156,mult(ld(mult(X_156,X_155),B),X_34))))]]) ).
cnf(refute_0_683,plain,
( ld(mult(X_156,X_155),mult(mult(X_156,X_155),mult(ld(mult(X_156,X_155),B),X_34))) != mult(ld(mult(X_156,X_155),B),X_34)
| ld(X_156,mult(X_156,mult(ld(mult(X_156,X_155),B),X_34))) = mult(ld(mult(X_156,X_155),B),X_34) ),
inference(resolve,[$cnf( $equal(ld(mult(X_156,X_155),mult(mult(X_156,X_155),mult(ld(mult(X_156,X_155),B),X_34))),ld(X_156,mult(X_156,mult(ld(mult(X_156,X_155),B),X_34)))) )],[refute_0_681,refute_0_682]) ).
cnf(refute_0_684,plain,
ld(X_156,mult(X_156,mult(ld(mult(X_156,X_155),B),X_34))) = mult(ld(mult(X_156,X_155),B),X_34),
inference(resolve,[$cnf( $equal(ld(mult(X_156,X_155),mult(mult(X_156,X_155),mult(ld(mult(X_156,X_155),B),X_34))),mult(ld(mult(X_156,X_155),B),X_34)) )],[refute_0_680,refute_0_683]) ).
cnf(refute_0_685,plain,
ld(X_204,mult(X_204,mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))) = mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34),
inference(subst,[],[refute_0_684:[bind(B,$fot(mult(X_204,ld(X_205,X_205)))),bind(X_155,$fot(ld(X_205,X_205))),bind(X_156,$fot(X_204))]]) ).
cnf(refute_0_686,plain,
( ld(X_204,mult(X_204,mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))) != mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34)
| mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34) != ld(X_204,mult(X_204,X_34))
| ld(X_204,mult(X_204,mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))) = ld(X_204,mult(X_204,X_34)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(ld(X_204,mult(X_204,mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))))),bind(Y,$fot(mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))),bind(Z,$fot(ld(X_204,mult(X_204,X_34))))]]) ).
cnf(refute_0_687,plain,
( mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34) != ld(X_204,mult(X_204,X_34))
| ld(X_204,mult(X_204,mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))) = ld(X_204,mult(X_204,X_34)) ),
inference(resolve,[$cnf( $equal(ld(X_204,mult(X_204,mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34)) )],[refute_0_685,refute_0_686]) ).
cnf(refute_0_688,plain,
ld(X_204,mult(X_204,mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))) = ld(X_204,mult(X_204,X_34)),
inference(resolve,[$cnf( $equal(mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34),ld(X_204,mult(X_204,X_34))) )],[refute_0_679,refute_0_687]) ).
cnf(refute_0_689,plain,
ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))) = ld(X_204,mult(X_204,mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))),
inference(subst,[],[refute_0_528:[bind(X_34,$fot(ld(X_205,X_205))),bind(X_74,$fot(X_204)),bind(X_76,$fot(mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34)))]]) ).
cnf(refute_0_690,plain,
( ld(X_204,mult(X_204,mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))) != ld(X_204,mult(X_204,X_34))
| ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))) != ld(X_204,mult(X_204,mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34)))
| ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))) = ld(X_204,mult(X_204,X_34)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))))),bind(Y,$fot(ld(X_204,mult(X_204,mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))))),bind(Z,$fot(ld(X_204,mult(X_204,X_34))))]]) ).
cnf(refute_0_691,plain,
( ld(X_204,mult(X_204,mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))) != ld(X_204,mult(X_204,X_34))
| ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))) = ld(X_204,mult(X_204,X_34)) ),
inference(resolve,[$cnf( $equal(ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))),ld(X_204,mult(X_204,mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34)))) )],[refute_0_689,refute_0_690]) ).
cnf(refute_0_692,plain,
ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))) = ld(X_204,mult(X_204,X_34)),
inference(resolve,[$cnf( $equal(ld(X_204,mult(X_204,mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))),ld(X_204,mult(X_204,X_34))) )],[refute_0_688,refute_0_691]) ).
cnf(refute_0_693,plain,
( ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))) != ld(X_204,mult(X_204,X_34))
| ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))) != mult(ld(X_204,mult(X_204,ld(X_205,X_205))),X_34)
| ld(X_204,mult(X_204,X_34)) = mult(ld(X_204,mult(X_204,ld(X_205,X_205))),X_34) ),
introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))),mult(ld(X_204,mult(X_204,ld(X_205,X_205))),X_34)) ),[0],$fot(ld(X_204,mult(X_204,X_34)))]]) ).
cnf(refute_0_694,plain,
( ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))) != mult(ld(X_204,mult(X_204,ld(X_205,X_205))),X_34)
| ld(X_204,mult(X_204,X_34)) = mult(ld(X_204,mult(X_204,ld(X_205,X_205))),X_34) ),
inference(resolve,[$cnf( $equal(ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))),ld(X_204,mult(X_204,X_34))) )],[refute_0_692,refute_0_693]) ).
cnf(refute_0_695,plain,
mult(ld(X_205,X_205),X_34) = ld(X_205,mult(X_205,X_34)),
inference(subst,[],[refute_0_675:[bind(A,$fot(X_205)),bind(X_67,$fot(X_34))]]) ).
cnf(refute_0_696,plain,
mult(X_204,mult(ld(X_205,X_205),X_34)) = mult(X_204,mult(ld(X_205,X_205),X_34)),
introduced(tautology,[refl,[$fot(mult(X_204,mult(ld(X_205,X_205),X_34)))]]) ).
cnf(refute_0_697,plain,
( mult(X_204,mult(ld(X_205,X_205),X_34)) != mult(X_204,mult(ld(X_205,X_205),X_34))
| mult(ld(X_205,X_205),X_34) != ld(X_205,mult(X_205,X_34))
| mult(X_204,mult(ld(X_205,X_205),X_34)) = mult(X_204,ld(X_205,mult(X_205,X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(X_204,mult(ld(X_205,X_205),X_34)),mult(X_204,mult(ld(X_205,X_205),X_34))) ),[1,1],$fot(ld(X_205,mult(X_205,X_34)))]]) ).
cnf(refute_0_698,plain,
( mult(ld(X_205,X_205),X_34) != ld(X_205,mult(X_205,X_34))
| mult(X_204,mult(ld(X_205,X_205),X_34)) = mult(X_204,ld(X_205,mult(X_205,X_34))) ),
inference(resolve,[$cnf( $equal(mult(X_204,mult(ld(X_205,X_205),X_34)),mult(X_204,mult(ld(X_205,X_205),X_34))) )],[refute_0_696,refute_0_697]) ).
cnf(refute_0_699,plain,
mult(X_204,mult(ld(X_205,X_205),X_34)) = mult(X_204,ld(X_205,mult(X_205,X_34))),
inference(resolve,[$cnf( $equal(mult(ld(X_205,X_205),X_34),ld(X_205,mult(X_205,X_34))) )],[refute_0_695,refute_0_698]) ).
cnf(refute_0_700,plain,
ld(X_204,mult(X_204,mult(ld(X_205,X_205),X_34))) = ld(X_204,mult(X_204,mult(ld(X_205,X_205),X_34))),
introduced(tautology,[refl,[$fot(ld(X_204,mult(X_204,mult(ld(X_205,X_205),X_34))))]]) ).
cnf(refute_0_701,plain,
( ld(X_204,mult(X_204,mult(ld(X_205,X_205),X_34))) != ld(X_204,mult(X_204,mult(ld(X_205,X_205),X_34)))
| mult(X_204,mult(ld(X_205,X_205),X_34)) != mult(X_204,ld(X_205,mult(X_205,X_34)))
| ld(X_204,mult(X_204,mult(ld(X_205,X_205),X_34))) = ld(X_204,mult(X_204,ld(X_205,mult(X_205,X_34)))) ),
introduced(tautology,[equality,[$cnf( $equal(ld(X_204,mult(X_204,mult(ld(X_205,X_205),X_34))),ld(X_204,mult(X_204,mult(ld(X_205,X_205),X_34)))) ),[1,1],$fot(mult(X_204,ld(X_205,mult(X_205,X_34))))]]) ).
cnf(refute_0_702,plain,
( mult(X_204,mult(ld(X_205,X_205),X_34)) != mult(X_204,ld(X_205,mult(X_205,X_34)))
| ld(X_204,mult(X_204,mult(ld(X_205,X_205),X_34))) = ld(X_204,mult(X_204,ld(X_205,mult(X_205,X_34)))) ),
inference(resolve,[$cnf( $equal(ld(X_204,mult(X_204,mult(ld(X_205,X_205),X_34))),ld(X_204,mult(X_204,mult(ld(X_205,X_205),X_34)))) )],[refute_0_700,refute_0_701]) ).
cnf(refute_0_703,plain,
ld(X_204,mult(X_204,mult(ld(X_205,X_205),X_34))) = ld(X_204,mult(X_204,ld(X_205,mult(X_205,X_34)))),
inference(resolve,[$cnf( $equal(mult(X_204,mult(ld(X_205,X_205),X_34)),mult(X_204,ld(X_205,mult(X_205,X_34)))) )],[refute_0_699,refute_0_702]) ).
cnf(refute_0_704,plain,
mult(ld(X_204,mult(X_204,ld(X_205,X_205))),X_34) = ld(X_204,mult(X_204,mult(ld(X_205,X_205),X_34))),
inference(subst,[],[refute_0_103:[bind(X_31,$fot(X_204)),bind(X_33,$fot(ld(X_205,X_205)))]]) ).
cnf(refute_0_705,plain,
( ld(X_204,mult(X_204,mult(ld(X_205,X_205),X_34))) != ld(X_204,mult(X_204,ld(X_205,mult(X_205,X_34))))
| mult(ld(X_204,mult(X_204,ld(X_205,X_205))),X_34) != ld(X_204,mult(X_204,mult(ld(X_205,X_205),X_34)))
| mult(ld(X_204,mult(X_204,ld(X_205,X_205))),X_34) = ld(X_204,mult(X_204,ld(X_205,mult(X_205,X_34)))) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(ld(X_204,mult(X_204,ld(X_205,X_205))),X_34))),bind(Y,$fot(ld(X_204,mult(X_204,mult(ld(X_205,X_205),X_34))))),bind(Z,$fot(ld(X_204,mult(X_204,ld(X_205,mult(X_205,X_34))))))]]) ).
cnf(refute_0_706,plain,
( ld(X_204,mult(X_204,mult(ld(X_205,X_205),X_34))) != ld(X_204,mult(X_204,ld(X_205,mult(X_205,X_34))))
| mult(ld(X_204,mult(X_204,ld(X_205,X_205))),X_34) = ld(X_204,mult(X_204,ld(X_205,mult(X_205,X_34)))) ),
inference(resolve,[$cnf( $equal(mult(ld(X_204,mult(X_204,ld(X_205,X_205))),X_34),ld(X_204,mult(X_204,mult(ld(X_205,X_205),X_34)))) )],[refute_0_704,refute_0_705]) ).
cnf(refute_0_707,plain,
mult(ld(X_204,mult(X_204,ld(X_205,X_205))),X_34) = ld(X_204,mult(X_204,ld(X_205,mult(X_205,X_34)))),
inference(resolve,[$cnf( $equal(ld(X_204,mult(X_204,mult(ld(X_205,X_205),X_34))),ld(X_204,mult(X_204,ld(X_205,mult(X_205,X_34))))) )],[refute_0_703,refute_0_706]) ).
cnf(refute_0_708,plain,
( ld(X_204,mult(X_204,X_34)) != mult(ld(X_204,mult(X_204,ld(X_205,X_205))),X_34)
| mult(ld(X_204,mult(X_204,ld(X_205,X_205))),X_34) != ld(X_204,mult(X_204,ld(X_205,mult(X_205,X_34))))
| ld(X_204,mult(X_204,X_34)) = ld(X_204,mult(X_204,ld(X_205,mult(X_205,X_34)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(ld(X_204,mult(X_204,X_34)),ld(X_204,mult(X_204,ld(X_205,mult(X_205,X_34))))) ),[0],$fot(mult(ld(X_204,mult(X_204,ld(X_205,X_205))),X_34))]]) ).
cnf(refute_0_709,plain,
( ld(X_204,mult(X_204,X_34)) != mult(ld(X_204,mult(X_204,ld(X_205,X_205))),X_34)
| ld(X_204,mult(X_204,X_34)) = ld(X_204,mult(X_204,ld(X_205,mult(X_205,X_34)))) ),
inference(resolve,[$cnf( $equal(mult(ld(X_204,mult(X_204,ld(X_205,X_205))),X_34),ld(X_204,mult(X_204,ld(X_205,mult(X_205,X_34))))) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
( ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))) != mult(ld(X_204,mult(X_204,ld(X_205,X_205))),X_34)
| ld(X_204,mult(X_204,X_34)) = ld(X_204,mult(X_204,ld(X_205,mult(X_205,X_34)))) ),
inference(resolve,[$cnf( $equal(ld(X_204,mult(X_204,X_34)),mult(ld(X_204,mult(X_204,ld(X_205,X_205))),X_34)) )],[refute_0_694,refute_0_709]) ).
cnf(refute_0_711,plain,
ld(X_204,mult(X_204,X_34)) = ld(X_204,mult(X_204,ld(X_205,mult(X_205,X_34)))),
inference(resolve,[$cnf( $equal(ld(mult(X_204,ld(X_205,X_205)),mult(mult(X_204,ld(X_205,X_205)),mult(ld(mult(X_204,ld(X_205,X_205)),mult(X_204,ld(X_205,X_205))),X_34))),mult(ld(X_204,mult(X_204,ld(X_205,X_205))),X_34)) )],[refute_0_672,refute_0_710]) ).
cnf(refute_0_712,plain,
ld(A,mult(A,X_392)) = ld(A,mult(A,ld(X_391,mult(X_391,X_392)))),
inference(subst,[],[refute_0_711:[bind(X_204,$fot(A)),bind(X_205,$fot(X_391)),bind(X_34,$fot(X_392))]]) ).
cnf(refute_0_713,plain,
( ld(A,mult(A,X_392)) != ld(A,mult(A,ld(X_391,mult(X_391,X_392))))
| ld(A,mult(A,ld(X_391,mult(X_391,X_392)))) = ld(A,mult(A,X_392)) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(ld(A,mult(A,X_392)))),bind(Y,$fot(ld(A,mult(A,ld(X_391,mult(X_391,X_392))))))]]) ).
cnf(refute_0_714,plain,
ld(A,mult(A,ld(X_391,mult(X_391,X_392)))) = ld(A,mult(A,X_392)),
inference(resolve,[$cnf( $equal(ld(A,mult(A,X_392)),ld(A,mult(A,ld(X_391,mult(X_391,X_392))))) )],[refute_0_712,refute_0_713]) ).
cnf(refute_0_715,plain,
( ld(A,mult(A,ld(X_391,mult(X_391,X_392)))) != ld(A,mult(A,X_392))
| mult(A,ld(A,mult(A,ld(X_391,mult(X_391,X_392))))) != ld(A,mult(A,mult(A,ld(X_391,mult(X_391,X_392)))))
| mult(A,ld(A,mult(A,X_392))) = ld(A,mult(A,mult(A,ld(X_391,mult(X_391,X_392))))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,ld(A,mult(A,ld(X_391,mult(X_391,X_392))))),ld(A,mult(A,mult(A,ld(X_391,mult(X_391,X_392)))))) ),[0,1],$fot(ld(A,mult(A,X_392)))]]) ).
cnf(refute_0_716,plain,
( mult(A,ld(A,mult(A,ld(X_391,mult(X_391,X_392))))) != ld(A,mult(A,mult(A,ld(X_391,mult(X_391,X_392)))))
| mult(A,ld(A,mult(A,X_392))) = ld(A,mult(A,mult(A,ld(X_391,mult(X_391,X_392))))) ),
inference(resolve,[$cnf( $equal(ld(A,mult(A,ld(X_391,mult(X_391,X_392)))),ld(A,mult(A,X_392))) )],[refute_0_714,refute_0_715]) ).
cnf(refute_0_717,plain,
mult(A,ld(A,mult(A,X_392))) = ld(A,mult(A,mult(A,ld(X_391,mult(X_391,X_392))))),
inference(resolve,[$cnf( $equal(mult(A,ld(A,mult(A,ld(X_391,mult(X_391,X_392))))),ld(A,mult(A,mult(A,ld(X_391,mult(X_391,X_392)))))) )],[refute_0_0,refute_0_716]) ).
cnf(refute_0_718,plain,
ld(A,mult(A,mult(A,X_392))) = mult(A,X_392),
inference(subst,[],[refute_0_134:[bind(X_33,$fot(A)),bind(X_34,$fot(X_392))]]) ).
cnf(refute_0_719,plain,
mult(A,ld(A,mult(A,X_392))) = ld(A,mult(A,mult(A,X_392))),
inference(subst,[],[f03:[bind(B,$fot(mult(A,X_392)))]]) ).
cnf(refute_0_720,plain,
( ld(A,mult(A,mult(A,X_392))) != mult(A,X_392)
| mult(A,ld(A,mult(A,X_392))) != ld(A,mult(A,mult(A,X_392)))
| mult(A,ld(A,mult(A,X_392))) = mult(A,X_392) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(mult(A,ld(A,mult(A,X_392))))),bind(Y,$fot(ld(A,mult(A,mult(A,X_392))))),bind(Z,$fot(mult(A,X_392)))]]) ).
cnf(refute_0_721,plain,
( ld(A,mult(A,mult(A,X_392))) != mult(A,X_392)
| mult(A,ld(A,mult(A,X_392))) = mult(A,X_392) ),
inference(resolve,[$cnf( $equal(mult(A,ld(A,mult(A,X_392))),ld(A,mult(A,mult(A,X_392)))) )],[refute_0_719,refute_0_720]) ).
cnf(refute_0_722,plain,
mult(A,ld(A,mult(A,X_392))) = mult(A,X_392),
inference(resolve,[$cnf( $equal(ld(A,mult(A,mult(A,X_392))),mult(A,X_392)) )],[refute_0_718,refute_0_721]) ).
cnf(refute_0_723,plain,
( mult(A,ld(A,mult(A,X_392))) != ld(A,mult(A,mult(A,ld(X_391,mult(X_391,X_392)))))
| mult(A,ld(A,mult(A,X_392))) != mult(A,X_392)
| mult(A,X_392) = ld(A,mult(A,mult(A,ld(X_391,mult(X_391,X_392))))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,ld(A,mult(A,X_392))),ld(A,mult(A,mult(A,ld(X_391,mult(X_391,X_392)))))) ),[0],$fot(mult(A,X_392))]]) ).
cnf(refute_0_724,plain,
( mult(A,ld(A,mult(A,X_392))) != ld(A,mult(A,mult(A,ld(X_391,mult(X_391,X_392)))))
| mult(A,X_392) = ld(A,mult(A,mult(A,ld(X_391,mult(X_391,X_392))))) ),
inference(resolve,[$cnf( $equal(mult(A,ld(A,mult(A,X_392))),mult(A,X_392)) )],[refute_0_722,refute_0_723]) ).
cnf(refute_0_725,plain,
ld(A,mult(A,mult(A,ld(X_391,mult(X_391,X_392))))) = mult(A,ld(X_391,mult(X_391,X_392))),
inference(subst,[],[refute_0_134:[bind(X_33,$fot(A)),bind(X_34,$fot(ld(X_391,mult(X_391,X_392))))]]) ).
cnf(refute_0_726,plain,
( ld(A,mult(A,mult(A,ld(X_391,mult(X_391,X_392))))) != mult(A,ld(X_391,mult(X_391,X_392)))
| mult(A,X_392) != ld(A,mult(A,mult(A,ld(X_391,mult(X_391,X_392)))))
| mult(A,X_392) = mult(A,ld(X_391,mult(X_391,X_392))) ),
introduced(tautology,[equality,[$cnf( $equal(mult(A,X_392),ld(A,mult(A,mult(A,ld(X_391,mult(X_391,X_392)))))) ),[1],$fot(mult(A,ld(X_391,mult(X_391,X_392))))]]) ).
cnf(refute_0_727,plain,
( mult(A,X_392) != ld(A,mult(A,mult(A,ld(X_391,mult(X_391,X_392)))))
| mult(A,X_392) = mult(A,ld(X_391,mult(X_391,X_392))) ),
inference(resolve,[$cnf( $equal(ld(A,mult(A,mult(A,ld(X_391,mult(X_391,X_392))))),mult(A,ld(X_391,mult(X_391,X_392)))) )],[refute_0_725,refute_0_726]) ).
cnf(refute_0_728,plain,
( mult(A,ld(A,mult(A,X_392))) != ld(A,mult(A,mult(A,ld(X_391,mult(X_391,X_392)))))
| mult(A,X_392) = mult(A,ld(X_391,mult(X_391,X_392))) ),
inference(resolve,[$cnf( $equal(mult(A,X_392),ld(A,mult(A,mult(A,ld(X_391,mult(X_391,X_392)))))) )],[refute_0_724,refute_0_727]) ).
cnf(refute_0_729,plain,
mult(A,X_392) = mult(A,ld(X_391,mult(X_391,X_392))),
inference(resolve,[$cnf( $equal(mult(A,ld(A,mult(A,X_392))),ld(A,mult(A,mult(A,ld(X_391,mult(X_391,X_392)))))) )],[refute_0_717,refute_0_728]) ).
cnf(refute_0_730,plain,
( mult(A,X_392) != mult(A,ld(X_391,mult(X_391,X_392)))
| mult(A,ld(X_391,mult(X_391,X_392))) = mult(A,X_392) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(mult(A,X_392))),bind(Y,$fot(mult(A,ld(X_391,mult(X_391,X_392)))))]]) ).
cnf(refute_0_731,plain,
mult(A,ld(X_391,mult(X_391,X_392))) = mult(A,X_392),
inference(resolve,[$cnf( $equal(mult(A,X_392),mult(A,ld(X_391,mult(X_391,X_392)))) )],[refute_0_729,refute_0_730]) ).
cnf(refute_0_732,plain,
mult(x3,ld(x4,mult(x4,x5))) = mult(x3,x5),
inference(subst,[],[refute_0_731:[bind(A,$fot(x3)),bind(X_391,$fot(x4)),bind(X_392,$fot(x5))]]) ).
cnf(refute_0_733,plain,
( mult(x3,ld(x4,mult(x4,x5))) != mult(x3,x5)
| mult(x3,x5) != mult(x3,x5)
| mult(x3,ld(x4,mult(x4,x5))) = mult(x3,x5) ),
introduced(tautology,[equality,[$cnf( ~ $equal(mult(x3,ld(x4,mult(x4,x5))),mult(x3,x5)) ),[0],$fot(mult(x3,x5))]]) ).
cnf(refute_0_734,plain,
( mult(x3,x5) != mult(x3,x5)
| mult(x3,ld(x4,mult(x4,x5))) = mult(x3,x5) ),
inference(resolve,[$cnf( $equal(mult(x3,ld(x4,mult(x4,x5))),mult(x3,x5)) )],[refute_0_732,refute_0_733]) ).
cnf(refute_0_735,plain,
mult(x3,x5) != mult(x3,x5),
inference(resolve,[$cnf( $equal(mult(x3,ld(x4,mult(x4,x5))),mult(x3,x5)) )],[refute_0_734,goal]) ).
cnf(refute_0_736,plain,
mult(x3,x5) = mult(x3,x5),
introduced(tautology,[refl,[$fot(mult(x3,x5))]]) ).
cnf(refute_0_737,plain,
$false,
inference(resolve,[$cnf( $equal(mult(x3,x5),mult(x3,x5)) )],[refute_0_736,refute_0_735]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GRP683-10 : TPTP v8.1.0. Released v8.1.0.
% 0.09/0.11 % Command : metis --show proof --show saturation %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Mon Jun 13 15:03:42 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.10/0.30 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 2.84/3.05 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.84/3.05
% 2.84/3.05 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.93/3.16
%------------------------------------------------------------------------------