TSTP Solution File: GRP697-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP697-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 10:50:01 EDT 2022

% Result   : Unsatisfiable 4.32s 4.54s
% Output   : CNFRefutation 4.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   93
%            Number of leaves      :  322
% Syntax   : Number of clauses     : 1409 ( 726 unt;   0 nHn; 659 RR)
%            Number of literals    : 2407 (2406 equ;1000 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   : 3114 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c01,axiom,
    mult(A,ld(A,B)) = B ).

cnf(c02,axiom,
    ld(A,mult(A,B)) = B ).

cnf(c03,axiom,
    mult(rd(A,B),B) = A ).

cnf(c04,axiom,
    rd(mult(A,B),B) = A ).

cnf(c05,axiom,
    mult(A,unit) = A ).

cnf(c06,axiom,
    mult(unit,A) = A ).

cnf(c07,axiom,
    mult(A,i(mult(B,A))) = i(B) ).

cnf(c08,axiom,
    mult(A,mult(B,C)) = mult(rd(mult(A,B),A),mult(A,C)) ).

cnf(c09,axiom,
    mult(mult(A,B),C) = mult(mult(A,C),ld(C,mult(B,C))) ).

cnf(c10,axiom,
    mult(i(A),A) = unit ).

cnf(c11,axiom,
    mult(A,i(A)) = unit ).

cnf(goals,negated_conjecture,
    mult(mult(a,b),mult(b,mult(c,b))) != mult(mult(a,mult(b,mult(b,c))),b) ).

cnf(refute_0_0,plain,
    mult(mult(X_51,rd(A,X_53)),X_53) = mult(mult(X_51,X_53),ld(X_53,mult(rd(A,X_53),X_53))),
    inference(subst,[],[c09:[bind(A,$fot(X_51)),bind(B,$fot(rd(A,X_53))),bind(C,$fot(X_53))]]) ).

cnf(refute_0_1,plain,
    mult(rd(A,X_53),X_53) = A,
    inference(subst,[],[c03:[bind(B,$fot(X_53))]]) ).

cnf(refute_0_2,plain,
    ( mult(mult(X_51,rd(A,X_53)),X_53) != mult(mult(X_51,X_53),ld(X_53,mult(rd(A,X_53),X_53)))
    | mult(rd(A,X_53),X_53) != A
    | mult(mult(X_51,rd(A,X_53)),X_53) = mult(mult(X_51,X_53),ld(X_53,A)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_51,rd(A,X_53)),X_53),mult(mult(X_51,X_53),ld(X_53,mult(rd(A,X_53),X_53)))) ),[1,1,1],$fot(A)]]) ).

cnf(refute_0_3,plain,
    ( mult(mult(X_51,rd(A,X_53)),X_53) != mult(mult(X_51,X_53),ld(X_53,mult(rd(A,X_53),X_53)))
    | mult(mult(X_51,rd(A,X_53)),X_53) = mult(mult(X_51,X_53),ld(X_53,A)) ),
    inference(resolve,[$cnf( $equal(mult(rd(A,X_53),X_53),A) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    mult(mult(X_51,rd(A,X_53)),X_53) = mult(mult(X_51,X_53),ld(X_53,A)),
    inference(resolve,[$cnf( $equal(mult(mult(X_51,rd(A,X_53)),X_53),mult(mult(X_51,X_53),ld(X_53,mult(rd(A,X_53),X_53)))) )],[refute_0_0,refute_0_3]) ).

cnf(refute_0_5,plain,
    mult(mult(X_90,rd(mult(X_91,ld(A,X_91)),X_91)),X_91) = mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91)))),
    inference(subst,[],[refute_0_4:[bind(A,$fot(mult(X_91,ld(A,X_91)))),bind(X_51,$fot(X_90)),bind(X_53,$fot(X_91))]]) ).

cnf(refute_0_6,plain,
    mult(rd(mult(X_72,X_73),X_72),unit) = rd(mult(X_72,X_73),X_72),
    inference(subst,[],[c05:[bind(A,$fot(rd(mult(X_72,X_73),X_72)))]]) ).

cnf(refute_0_7,plain,
    mult(X_45,mult(X_46,ld(X_45,B))) = mult(rd(mult(X_45,X_46),X_45),mult(X_45,ld(X_45,B))),
    inference(subst,[],[c08:[bind(A,$fot(X_45)),bind(B,$fot(X_46)),bind(C,$fot(ld(X_45,B)))]]) ).

cnf(refute_0_8,plain,
    mult(X_45,ld(X_45,B)) = B,
    inference(subst,[],[c01:[bind(A,$fot(X_45))]]) ).

cnf(refute_0_9,plain,
    ( mult(X_45,ld(X_45,B)) != B
    | mult(X_45,mult(X_46,ld(X_45,B))) != mult(rd(mult(X_45,X_46),X_45),mult(X_45,ld(X_45,B)))
    | mult(X_45,mult(X_46,ld(X_45,B))) = mult(rd(mult(X_45,X_46),X_45),B) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_45,mult(X_46,ld(X_45,B))),mult(rd(mult(X_45,X_46),X_45),mult(X_45,ld(X_45,B)))) ),[1,1],$fot(B)]]) ).

cnf(refute_0_10,plain,
    ( mult(X_45,mult(X_46,ld(X_45,B))) != mult(rd(mult(X_45,X_46),X_45),mult(X_45,ld(X_45,B)))
    | mult(X_45,mult(X_46,ld(X_45,B))) = mult(rd(mult(X_45,X_46),X_45),B) ),
    inference(resolve,[$cnf( $equal(mult(X_45,ld(X_45,B)),B) )],[refute_0_8,refute_0_9]) ).

cnf(refute_0_11,plain,
    mult(X_45,mult(X_46,ld(X_45,B))) = mult(rd(mult(X_45,X_46),X_45),B),
    inference(resolve,[$cnf( $equal(mult(X_45,mult(X_46,ld(X_45,B))),mult(rd(mult(X_45,X_46),X_45),mult(X_45,ld(X_45,B)))) )],[refute_0_7,refute_0_10]) ).

cnf(refute_0_12,plain,
    mult(X_72,mult(X_73,ld(X_72,unit))) = mult(rd(mult(X_72,X_73),X_72),unit),
    inference(subst,[],[refute_0_11:[bind(B,$fot(unit)),bind(X_45,$fot(X_72)),bind(X_46,$fot(X_73))]]) ).

cnf(refute_0_13,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_14,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_15,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_13,refute_0_14]) ).

cnf(refute_0_16,plain,
    ( mult(X_72,mult(X_73,ld(X_72,unit))) != mult(rd(mult(X_72,X_73),X_72),unit)
    | mult(rd(mult(X_72,X_73),X_72),unit) = mult(X_72,mult(X_73,ld(X_72,unit))) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(mult(X_72,mult(X_73,ld(X_72,unit))))),bind(Y,$fot(mult(rd(mult(X_72,X_73),X_72),unit)))]]) ).

cnf(refute_0_17,plain,
    mult(rd(mult(X_72,X_73),X_72),unit) = mult(X_72,mult(X_73,ld(X_72,unit))),
    inference(resolve,[$cnf( $equal(mult(X_72,mult(X_73,ld(X_72,unit))),mult(rd(mult(X_72,X_73),X_72),unit)) )],[refute_0_12,refute_0_16]) ).

cnf(refute_0_18,plain,
    ( mult(rd(mult(X_72,X_73),X_72),unit) != mult(X_72,mult(X_73,ld(X_72,unit)))
    | mult(rd(mult(X_72,X_73),X_72),unit) != rd(mult(X_72,X_73),X_72)
    | mult(X_72,mult(X_73,ld(X_72,unit))) = rd(mult(X_72,X_73),X_72) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_72,X_73),X_72),unit),rd(mult(X_72,X_73),X_72)) ),[0],$fot(mult(X_72,mult(X_73,ld(X_72,unit))))]]) ).

cnf(refute_0_19,plain,
    ( mult(rd(mult(X_72,X_73),X_72),unit) != rd(mult(X_72,X_73),X_72)
    | mult(X_72,mult(X_73,ld(X_72,unit))) = rd(mult(X_72,X_73),X_72) ),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_72,X_73),X_72),unit),mult(X_72,mult(X_73,ld(X_72,unit)))) )],[refute_0_17,refute_0_18]) ).

cnf(refute_0_20,plain,
    mult(X_72,mult(X_73,ld(X_72,unit))) = rd(mult(X_72,X_73),X_72),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_72,X_73),X_72),unit),rd(mult(X_72,X_73),X_72)) )],[refute_0_6,refute_0_19]) ).

cnf(refute_0_21,plain,
    mult(X_12,i(mult(rd(A,X_12),X_12))) = i(rd(A,X_12)),
    inference(subst,[],[c07:[bind(A,$fot(X_12)),bind(B,$fot(rd(A,X_12)))]]) ).

cnf(refute_0_22,plain,
    mult(rd(A,X_12),X_12) = A,
    inference(subst,[],[c03:[bind(B,$fot(X_12))]]) ).

cnf(refute_0_23,plain,
    ( mult(X_12,i(mult(rd(A,X_12),X_12))) != i(rd(A,X_12))
    | mult(rd(A,X_12),X_12) != A
    | mult(X_12,i(A)) = i(rd(A,X_12)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_12,i(mult(rd(A,X_12),X_12))),i(rd(A,X_12))) ),[0,1,0],$fot(A)]]) ).

cnf(refute_0_24,plain,
    ( mult(X_12,i(mult(rd(A,X_12),X_12))) != i(rd(A,X_12))
    | mult(X_12,i(A)) = i(rd(A,X_12)) ),
    inference(resolve,[$cnf( $equal(mult(rd(A,X_12),X_12),A) )],[refute_0_22,refute_0_23]) ).

cnf(refute_0_25,plain,
    mult(X_12,i(A)) = i(rd(A,X_12)),
    inference(resolve,[$cnf( $equal(mult(X_12,i(mult(rd(A,X_12),X_12))),i(rd(A,X_12))) )],[refute_0_21,refute_0_24]) ).

cnf(refute_0_26,plain,
    mult(X_72,i(rd(X_72,X_73))) = i(rd(rd(X_72,X_73),X_72)),
    inference(subst,[],[refute_0_25:[bind(A,$fot(rd(X_72,X_73))),bind(X_12,$fot(X_72))]]) ).

cnf(refute_0_27,plain,
    mult(X_73,i(X_72)) = i(rd(X_72,X_73)),
    inference(subst,[],[refute_0_25:[bind(A,$fot(X_72)),bind(X_12,$fot(X_73))]]) ).

cnf(refute_0_28,plain,
    ld(rd(A,X_24),mult(rd(A,X_24),X_24)) = X_24,
    inference(subst,[],[c02:[bind(A,$fot(rd(A,X_24))),bind(B,$fot(X_24))]]) ).

cnf(refute_0_29,plain,
    mult(rd(A,X_24),X_24) = A,
    inference(subst,[],[c03:[bind(B,$fot(X_24))]]) ).

cnf(refute_0_30,plain,
    ( ld(rd(A,X_24),mult(rd(A,X_24),X_24)) != X_24
    | mult(rd(A,X_24),X_24) != A
    | ld(rd(A,X_24),A) = X_24 ),
    introduced(tautology,[equality,[$cnf( $equal(ld(rd(A,X_24),mult(rd(A,X_24),X_24)),X_24) ),[0,1],$fot(A)]]) ).

cnf(refute_0_31,plain,
    ( ld(rd(A,X_24),mult(rd(A,X_24),X_24)) != X_24
    | ld(rd(A,X_24),A) = X_24 ),
    inference(resolve,[$cnf( $equal(mult(rd(A,X_24),X_24),A) )],[refute_0_29,refute_0_30]) ).

cnf(refute_0_32,plain,
    ld(rd(A,X_24),A) = X_24,
    inference(resolve,[$cnf( $equal(ld(rd(A,X_24),mult(rd(A,X_24),X_24)),X_24) )],[refute_0_28,refute_0_31]) ).

cnf(refute_0_33,plain,
    ld(rd(unit,X_28),unit) = X_28,
    inference(subst,[],[refute_0_32:[bind(A,$fot(unit)),bind(X_24,$fot(X_28))]]) ).

cnf(refute_0_34,plain,
    rd(mult(i(X_5),X_5),X_5) = i(X_5),
    inference(subst,[],[c04:[bind(A,$fot(i(X_5))),bind(B,$fot(X_5))]]) ).

cnf(refute_0_35,plain,
    mult(i(X_5),X_5) = unit,
    inference(subst,[],[c10:[bind(A,$fot(X_5))]]) ).

cnf(refute_0_36,plain,
    ( mult(i(X_5),X_5) != unit
    | rd(mult(i(X_5),X_5),X_5) != i(X_5)
    | rd(unit,X_5) = i(X_5) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(i(X_5),X_5),X_5),i(X_5)) ),[0,0],$fot(unit)]]) ).

cnf(refute_0_37,plain,
    ( rd(mult(i(X_5),X_5),X_5) != i(X_5)
    | rd(unit,X_5) = i(X_5) ),
    inference(resolve,[$cnf( $equal(mult(i(X_5),X_5),unit) )],[refute_0_35,refute_0_36]) ).

cnf(refute_0_38,plain,
    rd(unit,X_5) = i(X_5),
    inference(resolve,[$cnf( $equal(rd(mult(i(X_5),X_5),X_5),i(X_5)) )],[refute_0_34,refute_0_37]) ).

cnf(refute_0_39,plain,
    rd(unit,X_28) = i(X_28),
    inference(subst,[],[refute_0_38:[bind(X_5,$fot(X_28))]]) ).

cnf(refute_0_40,plain,
    ( ld(rd(unit,X_28),unit) != X_28
    | rd(unit,X_28) != i(X_28)
    | ld(i(X_28),unit) = X_28 ),
    introduced(tautology,[equality,[$cnf( $equal(ld(rd(unit,X_28),unit),X_28) ),[0,0],$fot(i(X_28))]]) ).

cnf(refute_0_41,plain,
    ( ld(rd(unit,X_28),unit) != X_28
    | ld(i(X_28),unit) = X_28 ),
    inference(resolve,[$cnf( $equal(rd(unit,X_28),i(X_28)) )],[refute_0_39,refute_0_40]) ).

cnf(refute_0_42,plain,
    ld(i(X_28),unit) = X_28,
    inference(resolve,[$cnf( $equal(ld(rd(unit,X_28),unit),X_28) )],[refute_0_33,refute_0_41]) ).

cnf(refute_0_43,plain,
    ld(i(i(X_4)),unit) = i(X_4),
    inference(subst,[],[refute_0_42:[bind(X_28,$fot(i(X_4)))]]) ).

cnf(refute_0_44,plain,
    rd(mult(X_4,i(X_4)),i(X_4)) = X_4,
    inference(subst,[],[c04:[bind(A,$fot(X_4)),bind(B,$fot(i(X_4)))]]) ).

cnf(refute_0_45,plain,
    mult(X_4,i(X_4)) = unit,
    inference(subst,[],[c11:[bind(A,$fot(X_4))]]) ).

cnf(refute_0_46,plain,
    ( mult(X_4,i(X_4)) != unit
    | rd(mult(X_4,i(X_4)),i(X_4)) != X_4
    | rd(unit,i(X_4)) = X_4 ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_4,i(X_4)),i(X_4)),X_4) ),[0,0],$fot(unit)]]) ).

cnf(refute_0_47,plain,
    ( rd(mult(X_4,i(X_4)),i(X_4)) != X_4
    | rd(unit,i(X_4)) = X_4 ),
    inference(resolve,[$cnf( $equal(mult(X_4,i(X_4)),unit) )],[refute_0_45,refute_0_46]) ).

cnf(refute_0_48,plain,
    rd(unit,i(X_4)) = X_4,
    inference(resolve,[$cnf( $equal(rd(mult(X_4,i(X_4)),i(X_4)),X_4) )],[refute_0_44,refute_0_47]) ).

cnf(refute_0_49,plain,
    rd(unit,i(X_4)) = i(i(X_4)),
    inference(subst,[],[refute_0_38:[bind(X_5,$fot(i(X_4)))]]) ).

cnf(refute_0_50,plain,
    ( rd(unit,i(X_4)) != X_4
    | rd(unit,i(X_4)) != i(i(X_4))
    | i(i(X_4)) = X_4 ),
    introduced(tautology,[equality,[$cnf( $equal(rd(unit,i(X_4)),X_4) ),[0],$fot(i(i(X_4)))]]) ).

cnf(refute_0_51,plain,
    ( rd(unit,i(X_4)) != X_4
    | i(i(X_4)) = X_4 ),
    inference(resolve,[$cnf( $equal(rd(unit,i(X_4)),i(i(X_4))) )],[refute_0_49,refute_0_50]) ).

cnf(refute_0_52,plain,
    i(i(X_4)) = X_4,
    inference(resolve,[$cnf( $equal(rd(unit,i(X_4)),X_4) )],[refute_0_48,refute_0_51]) ).

cnf(refute_0_53,plain,
    ( i(i(X_4)) != X_4
    | ld(i(i(X_4)),unit) != i(X_4)
    | ld(X_4,unit) = i(X_4) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(i(i(X_4)),unit),i(X_4)) ),[0,0],$fot(X_4)]]) ).

cnf(refute_0_54,plain,
    ( ld(i(i(X_4)),unit) != i(X_4)
    | ld(X_4,unit) = i(X_4) ),
    inference(resolve,[$cnf( $equal(i(i(X_4)),X_4) )],[refute_0_52,refute_0_53]) ).

cnf(refute_0_55,plain,
    ld(X_4,unit) = i(X_4),
    inference(resolve,[$cnf( $equal(ld(i(i(X_4)),unit),i(X_4)) )],[refute_0_43,refute_0_54]) ).

cnf(refute_0_56,plain,
    ld(X_72,unit) = i(X_72),
    inference(subst,[],[refute_0_55:[bind(X_4,$fot(X_72))]]) ).

cnf(refute_0_57,plain,
    mult(X_73,ld(X_72,unit)) = mult(X_73,ld(X_72,unit)),
    introduced(tautology,[refl,[$fot(mult(X_73,ld(X_72,unit)))]]) ).

cnf(refute_0_58,plain,
    ( ld(X_72,unit) != i(X_72)
    | mult(X_73,ld(X_72,unit)) != mult(X_73,ld(X_72,unit))
    | mult(X_73,ld(X_72,unit)) = mult(X_73,i(X_72)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_73,ld(X_72,unit)),mult(X_73,ld(X_72,unit))) ),[1,1],$fot(i(X_72))]]) ).

cnf(refute_0_59,plain,
    ( ld(X_72,unit) != i(X_72)
    | mult(X_73,ld(X_72,unit)) = mult(X_73,i(X_72)) ),
    inference(resolve,[$cnf( $equal(mult(X_73,ld(X_72,unit)),mult(X_73,ld(X_72,unit))) )],[refute_0_57,refute_0_58]) ).

cnf(refute_0_60,plain,
    mult(X_73,ld(X_72,unit)) = mult(X_73,i(X_72)),
    inference(resolve,[$cnf( $equal(ld(X_72,unit),i(X_72)) )],[refute_0_56,refute_0_59]) ).

cnf(refute_0_61,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_62,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_15,refute_0_61]) ).

cnf(refute_0_63,plain,
    ( mult(X_73,i(X_72)) != i(rd(X_72,X_73))
    | mult(X_73,ld(X_72,unit)) != mult(X_73,i(X_72))
    | mult(X_73,ld(X_72,unit)) = i(rd(X_72,X_73)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(X_73,ld(X_72,unit)))),bind(Y,$fot(mult(X_73,i(X_72)))),bind(Z,$fot(i(rd(X_72,X_73))))]]) ).

cnf(refute_0_64,plain,
    ( mult(X_73,i(X_72)) != i(rd(X_72,X_73))
    | mult(X_73,ld(X_72,unit)) = i(rd(X_72,X_73)) ),
    inference(resolve,[$cnf( $equal(mult(X_73,ld(X_72,unit)),mult(X_73,i(X_72))) )],[refute_0_60,refute_0_63]) ).

cnf(refute_0_65,plain,
    mult(X_73,ld(X_72,unit)) = i(rd(X_72,X_73)),
    inference(resolve,[$cnf( $equal(mult(X_73,i(X_72)),i(rd(X_72,X_73))) )],[refute_0_27,refute_0_64]) ).

cnf(refute_0_66,plain,
    mult(X_72,mult(X_73,ld(X_72,unit))) = mult(X_72,mult(X_73,ld(X_72,unit))),
    introduced(tautology,[refl,[$fot(mult(X_72,mult(X_73,ld(X_72,unit))))]]) ).

cnf(refute_0_67,plain,
    ( mult(X_72,mult(X_73,ld(X_72,unit))) != mult(X_72,mult(X_73,ld(X_72,unit)))
    | mult(X_73,ld(X_72,unit)) != i(rd(X_72,X_73))
    | mult(X_72,mult(X_73,ld(X_72,unit))) = mult(X_72,i(rd(X_72,X_73))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_72,mult(X_73,ld(X_72,unit))),mult(X_72,mult(X_73,ld(X_72,unit)))) ),[1,1],$fot(i(rd(X_72,X_73)))]]) ).

cnf(refute_0_68,plain,
    ( mult(X_73,ld(X_72,unit)) != i(rd(X_72,X_73))
    | mult(X_72,mult(X_73,ld(X_72,unit))) = mult(X_72,i(rd(X_72,X_73))) ),
    inference(resolve,[$cnf( $equal(mult(X_72,mult(X_73,ld(X_72,unit))),mult(X_72,mult(X_73,ld(X_72,unit)))) )],[refute_0_66,refute_0_67]) ).

cnf(refute_0_69,plain,
    mult(X_72,mult(X_73,ld(X_72,unit))) = mult(X_72,i(rd(X_72,X_73))),
    inference(resolve,[$cnf( $equal(mult(X_73,ld(X_72,unit)),i(rd(X_72,X_73))) )],[refute_0_65,refute_0_68]) ).

cnf(refute_0_70,plain,
    ( mult(X_72,i(rd(X_72,X_73))) != i(rd(rd(X_72,X_73),X_72))
    | mult(X_72,mult(X_73,ld(X_72,unit))) != mult(X_72,i(rd(X_72,X_73)))
    | mult(X_72,mult(X_73,ld(X_72,unit))) = i(rd(rd(X_72,X_73),X_72)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(X_72,mult(X_73,ld(X_72,unit))))),bind(Y,$fot(mult(X_72,i(rd(X_72,X_73))))),bind(Z,$fot(i(rd(rd(X_72,X_73),X_72))))]]) ).

cnf(refute_0_71,plain,
    ( mult(X_72,i(rd(X_72,X_73))) != i(rd(rd(X_72,X_73),X_72))
    | mult(X_72,mult(X_73,ld(X_72,unit))) = i(rd(rd(X_72,X_73),X_72)) ),
    inference(resolve,[$cnf( $equal(mult(X_72,mult(X_73,ld(X_72,unit))),mult(X_72,i(rd(X_72,X_73)))) )],[refute_0_69,refute_0_70]) ).

cnf(refute_0_72,plain,
    mult(X_72,mult(X_73,ld(X_72,unit))) = i(rd(rd(X_72,X_73),X_72)),
    inference(resolve,[$cnf( $equal(mult(X_72,i(rd(X_72,X_73))),i(rd(rd(X_72,X_73),X_72))) )],[refute_0_26,refute_0_71]) ).

cnf(refute_0_73,plain,
    ( mult(X_72,mult(X_73,ld(X_72,unit))) != i(rd(rd(X_72,X_73),X_72))
    | mult(X_72,mult(X_73,ld(X_72,unit))) != rd(mult(X_72,X_73),X_72)
    | i(rd(rd(X_72,X_73),X_72)) = rd(mult(X_72,X_73),X_72) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_72,mult(X_73,ld(X_72,unit))),rd(mult(X_72,X_73),X_72)) ),[0],$fot(i(rd(rd(X_72,X_73),X_72)))]]) ).

cnf(refute_0_74,plain,
    ( mult(X_72,mult(X_73,ld(X_72,unit))) != rd(mult(X_72,X_73),X_72)
    | i(rd(rd(X_72,X_73),X_72)) = rd(mult(X_72,X_73),X_72) ),
    inference(resolve,[$cnf( $equal(mult(X_72,mult(X_73,ld(X_72,unit))),i(rd(rd(X_72,X_73),X_72))) )],[refute_0_72,refute_0_73]) ).

cnf(refute_0_75,plain,
    i(rd(rd(X_72,X_73),X_72)) = rd(mult(X_72,X_73),X_72),
    inference(resolve,[$cnf( $equal(mult(X_72,mult(X_73,ld(X_72,unit))),rd(mult(X_72,X_73),X_72)) )],[refute_0_20,refute_0_74]) ).

cnf(refute_0_76,plain,
    i(rd(rd(X_74,ld(A,X_74)),X_74)) = rd(mult(X_74,ld(A,X_74)),X_74),
    inference(subst,[],[refute_0_75:[bind(X_72,$fot(X_74)),bind(X_73,$fot(ld(A,X_74)))]]) ).

cnf(refute_0_77,plain,
    rd(mult(A,ld(A,X_19)),ld(A,X_19)) = A,
    inference(subst,[],[c04:[bind(B,$fot(ld(A,X_19)))]]) ).

cnf(refute_0_78,plain,
    mult(A,ld(A,X_19)) = X_19,
    inference(subst,[],[c01:[bind(B,$fot(X_19))]]) ).

cnf(refute_0_79,plain,
    ( mult(A,ld(A,X_19)) != X_19
    | rd(mult(A,ld(A,X_19)),ld(A,X_19)) != A
    | rd(X_19,ld(A,X_19)) = A ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(A,ld(A,X_19)),ld(A,X_19)),A) ),[0,0],$fot(X_19)]]) ).

cnf(refute_0_80,plain,
    ( rd(mult(A,ld(A,X_19)),ld(A,X_19)) != A
    | rd(X_19,ld(A,X_19)) = A ),
    inference(resolve,[$cnf( $equal(mult(A,ld(A,X_19)),X_19) )],[refute_0_78,refute_0_79]) ).

cnf(refute_0_81,plain,
    rd(X_19,ld(A,X_19)) = A,
    inference(resolve,[$cnf( $equal(rd(mult(A,ld(A,X_19)),ld(A,X_19)),A) )],[refute_0_77,refute_0_80]) ).

cnf(refute_0_82,plain,
    rd(X_74,ld(A,X_74)) = A,
    inference(subst,[],[refute_0_81:[bind(X_19,$fot(X_74))]]) ).

cnf(refute_0_83,plain,
    ( i(rd(rd(X_74,ld(A,X_74)),X_74)) != rd(mult(X_74,ld(A,X_74)),X_74)
    | rd(X_74,ld(A,X_74)) != A
    | i(rd(A,X_74)) = rd(mult(X_74,ld(A,X_74)),X_74) ),
    introduced(tautology,[equality,[$cnf( $equal(i(rd(rd(X_74,ld(A,X_74)),X_74)),rd(mult(X_74,ld(A,X_74)),X_74)) ),[0,0,0],$fot(A)]]) ).

cnf(refute_0_84,plain,
    ( i(rd(rd(X_74,ld(A,X_74)),X_74)) != rd(mult(X_74,ld(A,X_74)),X_74)
    | i(rd(A,X_74)) = rd(mult(X_74,ld(A,X_74)),X_74) ),
    inference(resolve,[$cnf( $equal(rd(X_74,ld(A,X_74)),A) )],[refute_0_82,refute_0_83]) ).

cnf(refute_0_85,plain,
    i(rd(A,X_74)) = rd(mult(X_74,ld(A,X_74)),X_74),
    inference(resolve,[$cnf( $equal(i(rd(rd(X_74,ld(A,X_74)),X_74)),rd(mult(X_74,ld(A,X_74)),X_74)) )],[refute_0_76,refute_0_84]) ).

cnf(refute_0_86,plain,
    i(rd(A,X_91)) = rd(mult(X_91,ld(A,X_91)),X_91),
    inference(subst,[],[refute_0_85:[bind(X_74,$fot(X_91))]]) ).

cnf(refute_0_87,plain,
    ( i(rd(A,X_91)) != rd(mult(X_91,ld(A,X_91)),X_91)
    | rd(mult(X_91,ld(A,X_91)),X_91) = i(rd(A,X_91)) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(i(rd(A,X_91)))),bind(Y,$fot(rd(mult(X_91,ld(A,X_91)),X_91)))]]) ).

cnf(refute_0_88,plain,
    rd(mult(X_91,ld(A,X_91)),X_91) = i(rd(A,X_91)),
    inference(resolve,[$cnf( $equal(i(rd(A,X_91)),rd(mult(X_91,ld(A,X_91)),X_91)) )],[refute_0_86,refute_0_87]) ).

cnf(refute_0_89,plain,
    ( mult(mult(X_90,rd(mult(X_91,ld(A,X_91)),X_91)),X_91) != mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91))))
    | rd(mult(X_91,ld(A,X_91)),X_91) != i(rd(A,X_91))
    | mult(mult(X_90,i(rd(A,X_91))),X_91) = mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91)))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_90,rd(mult(X_91,ld(A,X_91)),X_91)),X_91),mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91))))) ),[0,0,1],$fot(i(rd(A,X_91)))]]) ).

cnf(refute_0_90,plain,
    ( mult(mult(X_90,rd(mult(X_91,ld(A,X_91)),X_91)),X_91) != mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91))))
    | mult(mult(X_90,i(rd(A,X_91))),X_91) = mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91)))) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_91,ld(A,X_91)),X_91),i(rd(A,X_91))) )],[refute_0_88,refute_0_89]) ).

cnf(refute_0_91,plain,
    mult(mult(X_90,i(rd(A,X_91))),X_91) = mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91)))),
    inference(resolve,[$cnf( $equal(mult(mult(X_90,rd(mult(X_91,ld(A,X_91)),X_91)),X_91),mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91))))) )],[refute_0_5,refute_0_90]) ).

cnf(refute_0_92,plain,
    mult(i(mult(X_13,B)),i(mult(B,i(mult(X_13,B))))) = i(B),
    inference(subst,[],[c07:[bind(A,$fot(i(mult(X_13,B))))]]) ).

cnf(refute_0_93,plain,
    mult(B,i(mult(X_13,B))) = i(X_13),
    inference(subst,[],[c07:[bind(A,$fot(B)),bind(B,$fot(X_13))]]) ).

cnf(refute_0_94,plain,
    ( mult(B,i(mult(X_13,B))) != i(X_13)
    | mult(i(mult(X_13,B)),i(mult(B,i(mult(X_13,B))))) != i(B)
    | mult(i(mult(X_13,B)),i(i(X_13))) = i(B) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(X_13,B)),i(mult(B,i(mult(X_13,B))))),i(B)) ),[0,1,0],$fot(i(X_13))]]) ).

cnf(refute_0_95,plain,
    ( mult(i(mult(X_13,B)),i(mult(B,i(mult(X_13,B))))) != i(B)
    | mult(i(mult(X_13,B)),i(i(X_13))) = i(B) ),
    inference(resolve,[$cnf( $equal(mult(B,i(mult(X_13,B))),i(X_13)) )],[refute_0_93,refute_0_94]) ).

cnf(refute_0_96,plain,
    mult(i(mult(X_13,B)),i(i(X_13))) = i(B),
    inference(resolve,[$cnf( $equal(mult(i(mult(X_13,B)),i(mult(B,i(mult(X_13,B))))),i(B)) )],[refute_0_92,refute_0_95]) ).

cnf(refute_0_97,plain,
    i(i(X_13)) = X_13,
    inference(subst,[],[refute_0_52:[bind(X_4,$fot(X_13))]]) ).

cnf(refute_0_98,plain,
    mult(i(mult(X_13,B)),i(i(X_13))) = mult(i(mult(X_13,B)),i(i(X_13))),
    introduced(tautology,[refl,[$fot(mult(i(mult(X_13,B)),i(i(X_13))))]]) ).

cnf(refute_0_99,plain,
    ( i(i(X_13)) != X_13
    | mult(i(mult(X_13,B)),i(i(X_13))) != mult(i(mult(X_13,B)),i(i(X_13)))
    | mult(i(mult(X_13,B)),i(i(X_13))) = mult(i(mult(X_13,B)),X_13) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(X_13,B)),i(i(X_13))),mult(i(mult(X_13,B)),i(i(X_13)))) ),[1,1],$fot(X_13)]]) ).

cnf(refute_0_100,plain,
    ( i(i(X_13)) != X_13
    | mult(i(mult(X_13,B)),i(i(X_13))) = mult(i(mult(X_13,B)),X_13) ),
    inference(resolve,[$cnf( $equal(mult(i(mult(X_13,B)),i(i(X_13))),mult(i(mult(X_13,B)),i(i(X_13)))) )],[refute_0_98,refute_0_99]) ).

cnf(refute_0_101,plain,
    mult(i(mult(X_13,B)),i(i(X_13))) = mult(i(mult(X_13,B)),X_13),
    inference(resolve,[$cnf( $equal(i(i(X_13)),X_13) )],[refute_0_97,refute_0_100]) ).

cnf(refute_0_102,plain,
    ( mult(i(mult(X_13,B)),i(i(X_13))) != i(B)
    | mult(i(mult(X_13,B)),i(i(X_13))) != mult(i(mult(X_13,B)),X_13)
    | mult(i(mult(X_13,B)),X_13) = i(B) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(X_13,B)),i(i(X_13))),i(B)) ),[0],$fot(mult(i(mult(X_13,B)),X_13))]]) ).

cnf(refute_0_103,plain,
    ( mult(i(mult(X_13,B)),i(i(X_13))) != i(B)
    | mult(i(mult(X_13,B)),X_13) = i(B) ),
    inference(resolve,[$cnf( $equal(mult(i(mult(X_13,B)),i(i(X_13))),mult(i(mult(X_13,B)),X_13)) )],[refute_0_101,refute_0_102]) ).

cnf(refute_0_104,plain,
    mult(i(mult(X_13,B)),X_13) = i(B),
    inference(resolve,[$cnf( $equal(mult(i(mult(X_13,B)),i(i(X_13))),i(B)) )],[refute_0_96,refute_0_103]) ).

cnf(refute_0_105,plain,
    mult(i(mult(X_13,ld(X_13,X_19))),X_13) = i(ld(X_13,X_19)),
    inference(subst,[],[refute_0_104:[bind(B,$fot(ld(X_13,X_19)))]]) ).

cnf(refute_0_106,plain,
    mult(X_13,ld(X_13,X_19)) = X_19,
    inference(subst,[],[c01:[bind(A,$fot(X_13)),bind(B,$fot(X_19))]]) ).

cnf(refute_0_107,plain,
    ( mult(X_13,ld(X_13,X_19)) != X_19
    | mult(i(mult(X_13,ld(X_13,X_19))),X_13) != i(ld(X_13,X_19))
    | mult(i(X_19),X_13) = i(ld(X_13,X_19)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(i(mult(X_13,ld(X_13,X_19))),X_13),i(ld(X_13,X_19))) ),[0,0,0],$fot(X_19)]]) ).

cnf(refute_0_108,plain,
    ( mult(i(mult(X_13,ld(X_13,X_19))),X_13) != i(ld(X_13,X_19))
    | mult(i(X_19),X_13) = i(ld(X_13,X_19)) ),
    inference(resolve,[$cnf( $equal(mult(X_13,ld(X_13,X_19)),X_19) )],[refute_0_106,refute_0_107]) ).

cnf(refute_0_109,plain,
    mult(i(X_19),X_13) = i(ld(X_13,X_19)),
    inference(resolve,[$cnf( $equal(mult(i(mult(X_13,ld(X_13,X_19))),X_13),i(ld(X_13,X_19))) )],[refute_0_105,refute_0_108]) ).

cnf(refute_0_110,plain,
    mult(i(rd(rd(A,X_91),X_90)),X_91) = i(ld(X_91,rd(rd(A,X_91),X_90))),
    inference(subst,[],[refute_0_109:[bind(X_13,$fot(X_91)),bind(X_19,$fot(rd(rd(A,X_91),X_90)))]]) ).

cnf(refute_0_111,plain,
    mult(X_90,i(rd(A,X_91))) = i(rd(rd(A,X_91),X_90)),
    inference(subst,[],[refute_0_25:[bind(A,$fot(rd(A,X_91))),bind(X_12,$fot(X_90))]]) ).

cnf(refute_0_112,plain,
    mult(mult(X_90,i(rd(A,X_91))),X_91) = mult(mult(X_90,i(rd(A,X_91))),X_91),
    introduced(tautology,[refl,[$fot(mult(mult(X_90,i(rd(A,X_91))),X_91))]]) ).

cnf(refute_0_113,plain,
    ( mult(X_90,i(rd(A,X_91))) != i(rd(rd(A,X_91),X_90))
    | mult(mult(X_90,i(rd(A,X_91))),X_91) != mult(mult(X_90,i(rd(A,X_91))),X_91)
    | mult(mult(X_90,i(rd(A,X_91))),X_91) = mult(i(rd(rd(A,X_91),X_90)),X_91) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_90,i(rd(A,X_91))),X_91),mult(mult(X_90,i(rd(A,X_91))),X_91)) ),[1,0],$fot(i(rd(rd(A,X_91),X_90)))]]) ).

cnf(refute_0_114,plain,
    ( mult(X_90,i(rd(A,X_91))) != i(rd(rd(A,X_91),X_90))
    | mult(mult(X_90,i(rd(A,X_91))),X_91) = mult(i(rd(rd(A,X_91),X_90)),X_91) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_90,i(rd(A,X_91))),X_91),mult(mult(X_90,i(rd(A,X_91))),X_91)) )],[refute_0_112,refute_0_113]) ).

cnf(refute_0_115,plain,
    mult(mult(X_90,i(rd(A,X_91))),X_91) = mult(i(rd(rd(A,X_91),X_90)),X_91),
    inference(resolve,[$cnf( $equal(mult(X_90,i(rd(A,X_91))),i(rd(rd(A,X_91),X_90))) )],[refute_0_111,refute_0_114]) ).

cnf(refute_0_116,plain,
    ( mult(i(rd(rd(A,X_91),X_90)),X_91) != i(ld(X_91,rd(rd(A,X_91),X_90)))
    | mult(mult(X_90,i(rd(A,X_91))),X_91) != mult(i(rd(rd(A,X_91),X_90)),X_91)
    | mult(mult(X_90,i(rd(A,X_91))),X_91) = i(ld(X_91,rd(rd(A,X_91),X_90))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(mult(X_90,i(rd(A,X_91))),X_91))),bind(Y,$fot(mult(i(rd(rd(A,X_91),X_90)),X_91))),bind(Z,$fot(i(ld(X_91,rd(rd(A,X_91),X_90)))))]]) ).

cnf(refute_0_117,plain,
    ( mult(i(rd(rd(A,X_91),X_90)),X_91) != i(ld(X_91,rd(rd(A,X_91),X_90)))
    | mult(mult(X_90,i(rd(A,X_91))),X_91) = i(ld(X_91,rd(rd(A,X_91),X_90))) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_90,i(rd(A,X_91))),X_91),mult(i(rd(rd(A,X_91),X_90)),X_91)) )],[refute_0_115,refute_0_116]) ).

cnf(refute_0_118,plain,
    mult(mult(X_90,i(rd(A,X_91))),X_91) = i(ld(X_91,rd(rd(A,X_91),X_90))),
    inference(resolve,[$cnf( $equal(mult(i(rd(rd(A,X_91),X_90)),X_91),i(ld(X_91,rd(rd(A,X_91),X_90)))) )],[refute_0_110,refute_0_117]) ).

cnf(refute_0_119,plain,
    ( mult(mult(X_90,i(rd(A,X_91))),X_91) != i(ld(X_91,rd(rd(A,X_91),X_90)))
    | mult(mult(X_90,i(rd(A,X_91))),X_91) != mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91))))
    | i(ld(X_91,rd(rd(A,X_91),X_90))) = mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91)))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_90,i(rd(A,X_91))),X_91),mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91))))) ),[0],$fot(i(ld(X_91,rd(rd(A,X_91),X_90))))]]) ).

cnf(refute_0_120,plain,
    ( mult(mult(X_90,i(rd(A,X_91))),X_91) != mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91))))
    | i(ld(X_91,rd(rd(A,X_91),X_90))) = mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91)))) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_90,i(rd(A,X_91))),X_91),i(ld(X_91,rd(rd(A,X_91),X_90)))) )],[refute_0_118,refute_0_119]) ).

cnf(refute_0_121,plain,
    ld(X_91,mult(X_91,ld(A,X_91))) = ld(A,X_91),
    inference(subst,[],[c02:[bind(A,$fot(X_91)),bind(B,$fot(ld(A,X_91)))]]) ).

cnf(refute_0_122,plain,
    mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91)))) = mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91)))),
    introduced(tautology,[refl,[$fot(mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91)))))]]) ).

cnf(refute_0_123,plain,
    ( ld(X_91,mult(X_91,ld(A,X_91))) != ld(A,X_91)
    | mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91)))) != mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91))))
    | mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91)))) = mult(mult(X_90,X_91),ld(A,X_91)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91)))),mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91))))) ),[1,1],$fot(ld(A,X_91))]]) ).

cnf(refute_0_124,plain,
    ( ld(X_91,mult(X_91,ld(A,X_91))) != ld(A,X_91)
    | mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91)))) = mult(mult(X_90,X_91),ld(A,X_91)) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91)))),mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91))))) )],[refute_0_122,refute_0_123]) ).

cnf(refute_0_125,plain,
    mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91)))) = mult(mult(X_90,X_91),ld(A,X_91)),
    inference(resolve,[$cnf( $equal(ld(X_91,mult(X_91,ld(A,X_91))),ld(A,X_91)) )],[refute_0_121,refute_0_124]) ).

cnf(refute_0_126,plain,
    ( i(ld(X_91,rd(rd(A,X_91),X_90))) != mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91))))
    | mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91)))) != mult(mult(X_90,X_91),ld(A,X_91))
    | i(ld(X_91,rd(rd(A,X_91),X_90))) = mult(mult(X_90,X_91),ld(A,X_91)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(i(ld(X_91,rd(rd(A,X_91),X_90))),mult(mult(X_90,X_91),ld(A,X_91))) ),[0],$fot(mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91)))))]]) ).

cnf(refute_0_127,plain,
    ( i(ld(X_91,rd(rd(A,X_91),X_90))) != mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91))))
    | i(ld(X_91,rd(rd(A,X_91),X_90))) = mult(mult(X_90,X_91),ld(A,X_91)) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91)))),mult(mult(X_90,X_91),ld(A,X_91))) )],[refute_0_125,refute_0_126]) ).

cnf(refute_0_128,plain,
    ( mult(mult(X_90,i(rd(A,X_91))),X_91) != mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91))))
    | i(ld(X_91,rd(rd(A,X_91),X_90))) = mult(mult(X_90,X_91),ld(A,X_91)) ),
    inference(resolve,[$cnf( $equal(i(ld(X_91,rd(rd(A,X_91),X_90))),mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91))))) )],[refute_0_120,refute_0_127]) ).

cnf(refute_0_129,plain,
    i(ld(X_91,rd(rd(A,X_91),X_90))) = mult(mult(X_90,X_91),ld(A,X_91)),
    inference(resolve,[$cnf( $equal(mult(mult(X_90,i(rd(A,X_91))),X_91),mult(mult(X_90,X_91),ld(X_91,mult(X_91,ld(A,X_91))))) )],[refute_0_91,refute_0_128]) ).

cnf(refute_0_130,plain,
    i(ld(X_91,rd(rd(i(mult(X_91,X_365)),X_91),X_90))) = mult(mult(X_90,X_91),ld(i(mult(X_91,X_365)),X_91)),
    inference(subst,[],[refute_0_129:[bind(A,$fot(i(mult(X_91,X_365))))]]) ).

cnf(refute_0_131,plain,
    mult(A,ld(A,mult(mult(X_86,X_86),ld(X_86,A)))) = mult(mult(X_86,X_86),ld(X_86,A)),
    inference(subst,[],[c01:[bind(B,$fot(mult(mult(X_86,X_86),ld(X_86,A))))]]) ).

cnf(refute_0_132,plain,
    ld(mult(X_51,X_53),mult(mult(X_51,X_53),ld(X_53,mult(X_52,X_53)))) = ld(X_53,mult(X_52,X_53)),
    inference(subst,[],[c02:[bind(A,$fot(mult(X_51,X_53))),bind(B,$fot(ld(X_53,mult(X_52,X_53))))]]) ).

cnf(refute_0_133,plain,
    mult(mult(X_51,X_52),X_53) = mult(mult(X_51,X_53),ld(X_53,mult(X_52,X_53))),
    inference(subst,[],[c09:[bind(A,$fot(X_51)),bind(B,$fot(X_52)),bind(C,$fot(X_53))]]) ).

cnf(refute_0_134,plain,
    ( mult(mult(X_51,X_52),X_53) != mult(mult(X_51,X_53),ld(X_53,mult(X_52,X_53)))
    | mult(mult(X_51,X_53),ld(X_53,mult(X_52,X_53))) = mult(mult(X_51,X_52),X_53) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(mult(mult(X_51,X_52),X_53))),bind(Y,$fot(mult(mult(X_51,X_53),ld(X_53,mult(X_52,X_53)))))]]) ).

cnf(refute_0_135,plain,
    mult(mult(X_51,X_53),ld(X_53,mult(X_52,X_53))) = mult(mult(X_51,X_52),X_53),
    inference(resolve,[$cnf( $equal(mult(mult(X_51,X_52),X_53),mult(mult(X_51,X_53),ld(X_53,mult(X_52,X_53)))) )],[refute_0_133,refute_0_134]) ).

cnf(refute_0_136,plain,
    ( ld(mult(X_51,X_53),mult(mult(X_51,X_53),ld(X_53,mult(X_52,X_53)))) != ld(X_53,mult(X_52,X_53))
    | mult(mult(X_51,X_53),ld(X_53,mult(X_52,X_53))) != mult(mult(X_51,X_52),X_53)
    | ld(mult(X_51,X_53),mult(mult(X_51,X_52),X_53)) = ld(X_53,mult(X_52,X_53)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_51,X_53),mult(mult(X_51,X_53),ld(X_53,mult(X_52,X_53)))),ld(X_53,mult(X_52,X_53))) ),[0,1],$fot(mult(mult(X_51,X_52),X_53))]]) ).

cnf(refute_0_137,plain,
    ( ld(mult(X_51,X_53),mult(mult(X_51,X_53),ld(X_53,mult(X_52,X_53)))) != ld(X_53,mult(X_52,X_53))
    | ld(mult(X_51,X_53),mult(mult(X_51,X_52),X_53)) = ld(X_53,mult(X_52,X_53)) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_51,X_53),ld(X_53,mult(X_52,X_53))),mult(mult(X_51,X_52),X_53)) )],[refute_0_135,refute_0_136]) ).

cnf(refute_0_138,plain,
    ld(mult(X_51,X_53),mult(mult(X_51,X_52),X_53)) = ld(X_53,mult(X_52,X_53)),
    inference(resolve,[$cnf( $equal(ld(mult(X_51,X_53),mult(mult(X_51,X_53),ld(X_53,mult(X_52,X_53)))),ld(X_53,mult(X_52,X_53))) )],[refute_0_132,refute_0_137]) ).

cnf(refute_0_139,plain,
    ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))) = ld(ld(X_83,B),mult(X_83,ld(X_83,B))),
    inference(subst,[],[refute_0_138:[bind(X_51,$fot(X_82)),bind(X_52,$fot(X_83)),bind(X_53,$fot(ld(X_83,B)))]]) ).

cnf(refute_0_140,plain,
    mult(X_83,ld(X_83,B)) = B,
    inference(subst,[],[c01:[bind(A,$fot(X_83))]]) ).

cnf(refute_0_141,plain,
    ( ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))) != ld(ld(X_83,B),mult(X_83,ld(X_83,B)))
    | mult(X_83,ld(X_83,B)) != B
    | ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))) = ld(ld(X_83,B),B) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))),ld(ld(X_83,B),mult(X_83,ld(X_83,B)))) ),[1,1],$fot(B)]]) ).

cnf(refute_0_142,plain,
    ( ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))) != ld(ld(X_83,B),mult(X_83,ld(X_83,B)))
    | ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))) = ld(ld(X_83,B),B) ),
    inference(resolve,[$cnf( $equal(mult(X_83,ld(X_83,B)),B) )],[refute_0_140,refute_0_141]) ).

cnf(refute_0_143,plain,
    ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))) = ld(ld(X_83,B),B),
    inference(resolve,[$cnf( $equal(ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))),ld(ld(X_83,B),mult(X_83,ld(X_83,B)))) )],[refute_0_139,refute_0_142]) ).

cnf(refute_0_144,plain,
    ld(X_82,mult(X_82,X_83)) = X_83,
    inference(subst,[],[c02:[bind(A,$fot(X_82)),bind(B,$fot(X_83))]]) ).

cnf(refute_0_145,plain,
    mult(X_83,ld(X_82,mult(X_82,X_83))) = mult(X_83,ld(X_82,mult(X_82,X_83))),
    introduced(tautology,[refl,[$fot(mult(X_83,ld(X_82,mult(X_82,X_83))))]]) ).

cnf(refute_0_146,plain,
    ( ld(X_82,mult(X_82,X_83)) != X_83
    | mult(X_83,ld(X_82,mult(X_82,X_83))) != mult(X_83,ld(X_82,mult(X_82,X_83)))
    | mult(X_83,ld(X_82,mult(X_82,X_83))) = mult(X_83,X_83) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_83,ld(X_82,mult(X_82,X_83))),mult(X_83,ld(X_82,mult(X_82,X_83)))) ),[1,1],$fot(X_83)]]) ).

cnf(refute_0_147,plain,
    ( ld(X_82,mult(X_82,X_83)) != X_83
    | mult(X_83,ld(X_82,mult(X_82,X_83))) = mult(X_83,X_83) ),
    inference(resolve,[$cnf( $equal(mult(X_83,ld(X_82,mult(X_82,X_83))),mult(X_83,ld(X_82,mult(X_82,X_83)))) )],[refute_0_145,refute_0_146]) ).

cnf(refute_0_148,plain,
    mult(X_83,ld(X_82,mult(X_82,X_83))) = mult(X_83,X_83),
    inference(resolve,[$cnf( $equal(ld(X_82,mult(X_82,X_83)),X_83) )],[refute_0_144,refute_0_147]) ).

cnf(refute_0_149,plain,
    mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B)) = mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B)),
    introduced(tautology,[refl,[$fot(mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B)))]]) ).

cnf(refute_0_150,plain,
    ( mult(X_83,ld(X_82,mult(X_82,X_83))) != mult(X_83,X_83)
    | mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B)) != mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B))
    | mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B)) = mult(mult(X_83,X_83),ld(X_83,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B)),mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B))) ),[1,0],$fot(mult(X_83,X_83))]]) ).

cnf(refute_0_151,plain,
    ( mult(X_83,ld(X_82,mult(X_82,X_83))) != mult(X_83,X_83)
    | mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B)) = mult(mult(X_83,X_83),ld(X_83,B)) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B)),mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B))) )],[refute_0_149,refute_0_150]) ).

cnf(refute_0_152,plain,
    mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B)) = mult(mult(X_83,X_83),ld(X_83,B)),
    inference(resolve,[$cnf( $equal(mult(X_83,ld(X_82,mult(X_82,X_83))),mult(X_83,X_83)) )],[refute_0_148,refute_0_151]) ).

cnf(refute_0_153,plain,
    ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B))) = ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B))),
    introduced(tautology,[refl,[$fot(ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B))))]]) ).

cnf(refute_0_154,plain,
    ( ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B))) != ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B)))
    | mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B)) != mult(mult(X_83,X_83),ld(X_83,B))
    | ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B))) = ld(B,mult(mult(X_83,X_83),ld(X_83,B))) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B))),ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B)))) ),[1,1],$fot(mult(mult(X_83,X_83),ld(X_83,B)))]]) ).

cnf(refute_0_155,plain,
    ( mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B)) != mult(mult(X_83,X_83),ld(X_83,B))
    | ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B))) = ld(B,mult(mult(X_83,X_83),ld(X_83,B))) ),
    inference(resolve,[$cnf( $equal(ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B))),ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B)))) )],[refute_0_153,refute_0_154]) ).

cnf(refute_0_156,plain,
    ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B))) = ld(B,mult(mult(X_83,X_83),ld(X_83,B))),
    inference(resolve,[$cnf( $equal(mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B)),mult(mult(X_83,X_83),ld(X_83,B))) )],[refute_0_152,refute_0_155]) ).

cnf(refute_0_157,plain,
    ld(mult(X_82,ld(X_82,B)),mult(mult(X_82,X_83),ld(X_82,B))) = ld(ld(X_82,B),mult(X_83,ld(X_82,B))),
    inference(subst,[],[refute_0_138:[bind(X_51,$fot(X_82)),bind(X_52,$fot(X_83)),bind(X_53,$fot(ld(X_82,B)))]]) ).

cnf(refute_0_158,plain,
    mult(X_82,ld(X_82,B)) = B,
    inference(subst,[],[c01:[bind(A,$fot(X_82))]]) ).

cnf(refute_0_159,plain,
    ( ld(mult(X_82,ld(X_82,B)),mult(mult(X_82,X_83),ld(X_82,B))) != ld(ld(X_82,B),mult(X_83,ld(X_82,B)))
    | mult(X_82,ld(X_82,B)) != B
    | ld(B,mult(mult(X_82,X_83),ld(X_82,B))) = ld(ld(X_82,B),mult(X_83,ld(X_82,B))) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_82,ld(X_82,B)),mult(mult(X_82,X_83),ld(X_82,B))),ld(ld(X_82,B),mult(X_83,ld(X_82,B)))) ),[0,0],$fot(B)]]) ).

cnf(refute_0_160,plain,
    ( ld(mult(X_82,ld(X_82,B)),mult(mult(X_82,X_83),ld(X_82,B))) != ld(ld(X_82,B),mult(X_83,ld(X_82,B)))
    | ld(B,mult(mult(X_82,X_83),ld(X_82,B))) = ld(ld(X_82,B),mult(X_83,ld(X_82,B))) ),
    inference(resolve,[$cnf( $equal(mult(X_82,ld(X_82,B)),B) )],[refute_0_158,refute_0_159]) ).

cnf(refute_0_161,plain,
    ld(B,mult(mult(X_82,X_83),ld(X_82,B))) = ld(ld(X_82,B),mult(X_83,ld(X_82,B))),
    inference(resolve,[$cnf( $equal(ld(mult(X_82,ld(X_82,B)),mult(mult(X_82,X_83),ld(X_82,B))),ld(ld(X_82,B),mult(X_83,ld(X_82,B)))) )],[refute_0_157,refute_0_160]) ).

cnf(refute_0_162,plain,
    ( ld(B,mult(mult(X_82,X_83),ld(X_82,B))) != ld(ld(X_82,B),mult(X_83,ld(X_82,B)))
    | ld(ld(X_82,B),mult(X_83,ld(X_82,B))) = ld(B,mult(mult(X_82,X_83),ld(X_82,B))) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ld(B,mult(mult(X_82,X_83),ld(X_82,B))))),bind(Y,$fot(ld(ld(X_82,B),mult(X_83,ld(X_82,B)))))]]) ).

cnf(refute_0_163,plain,
    ld(ld(X_82,B),mult(X_83,ld(X_82,B))) = ld(B,mult(mult(X_82,X_83),ld(X_82,B))),
    inference(resolve,[$cnf( $equal(ld(B,mult(mult(X_82,X_83),ld(X_82,B))),ld(ld(X_82,B),mult(X_83,ld(X_82,B)))) )],[refute_0_161,refute_0_162]) ).

cnf(refute_0_164,plain,
    ld(ld(X_83,B),mult(ld(X_82,mult(X_82,X_83)),ld(X_83,B))) = ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B))),
    inference(subst,[],[refute_0_163:[bind(X_82,$fot(X_83)),bind(X_83,$fot(ld(X_82,mult(X_82,X_83))))]]) ).

cnf(refute_0_165,plain,
    ld(mult(X_82,X_84),mult(mult(X_82,ld(X_82,B)),X_84)) = ld(X_84,mult(ld(X_82,B),X_84)),
    inference(subst,[],[refute_0_138:[bind(X_51,$fot(X_82)),bind(X_52,$fot(ld(X_82,B))),bind(X_53,$fot(X_84))]]) ).

cnf(refute_0_166,plain,
    ( ld(mult(X_82,X_84),mult(mult(X_82,ld(X_82,B)),X_84)) != ld(X_84,mult(ld(X_82,B),X_84))
    | mult(X_82,ld(X_82,B)) != B
    | ld(mult(X_82,X_84),mult(B,X_84)) = ld(X_84,mult(ld(X_82,B),X_84)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_82,X_84),mult(mult(X_82,ld(X_82,B)),X_84)),ld(X_84,mult(ld(X_82,B),X_84))) ),[0,1,0],$fot(B)]]) ).

cnf(refute_0_167,plain,
    ( ld(mult(X_82,X_84),mult(mult(X_82,ld(X_82,B)),X_84)) != ld(X_84,mult(ld(X_82,B),X_84))
    | ld(mult(X_82,X_84),mult(B,X_84)) = ld(X_84,mult(ld(X_82,B),X_84)) ),
    inference(resolve,[$cnf( $equal(mult(X_82,ld(X_82,B)),B) )],[refute_0_158,refute_0_166]) ).

cnf(refute_0_168,plain,
    ld(mult(X_82,X_84),mult(B,X_84)) = ld(X_84,mult(ld(X_82,B),X_84)),
    inference(resolve,[$cnf( $equal(ld(mult(X_82,X_84),mult(mult(X_82,ld(X_82,B)),X_84)),ld(X_84,mult(ld(X_82,B),X_84))) )],[refute_0_165,refute_0_167]) ).

cnf(refute_0_169,plain,
    ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))) = ld(ld(X_83,B),mult(ld(X_82,mult(X_82,X_83)),ld(X_83,B))),
    inference(subst,[],[refute_0_168:[bind(B,$fot(mult(X_82,X_83))),bind(X_84,$fot(ld(X_83,B)))]]) ).

cnf(refute_0_170,plain,
    ( ld(ld(X_83,B),mult(ld(X_82,mult(X_82,X_83)),ld(X_83,B))) != ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B)))
    | ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))) != ld(ld(X_83,B),mult(ld(X_82,mult(X_82,X_83)),ld(X_83,B)))
    | ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))) = ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))))),bind(Y,$fot(ld(ld(X_83,B),mult(ld(X_82,mult(X_82,X_83)),ld(X_83,B))))),bind(Z,$fot(ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B)))))]]) ).

cnf(refute_0_171,plain,
    ( ld(ld(X_83,B),mult(ld(X_82,mult(X_82,X_83)),ld(X_83,B))) != ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B)))
    | ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))) = ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B))) ),
    inference(resolve,[$cnf( $equal(ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))),ld(ld(X_83,B),mult(ld(X_82,mult(X_82,X_83)),ld(X_83,B)))) )],[refute_0_169,refute_0_170]) ).

cnf(refute_0_172,plain,
    ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))) = ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B))),
    inference(resolve,[$cnf( $equal(ld(ld(X_83,B),mult(ld(X_82,mult(X_82,X_83)),ld(X_83,B))),ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B)))) )],[refute_0_164,refute_0_171]) ).

cnf(refute_0_173,plain,
    ( ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B))) != ld(B,mult(mult(X_83,X_83),ld(X_83,B)))
    | ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))) != ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B)))
    | ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))) = ld(B,mult(mult(X_83,X_83),ld(X_83,B))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))))),bind(Y,$fot(ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B))))),bind(Z,$fot(ld(B,mult(mult(X_83,X_83),ld(X_83,B)))))]]) ).

cnf(refute_0_174,plain,
    ( ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B))) != ld(B,mult(mult(X_83,X_83),ld(X_83,B)))
    | ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))) = ld(B,mult(mult(X_83,X_83),ld(X_83,B))) ),
    inference(resolve,[$cnf( $equal(ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))),ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B)))) )],[refute_0_172,refute_0_173]) ).

cnf(refute_0_175,plain,
    ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))) = ld(B,mult(mult(X_83,X_83),ld(X_83,B))),
    inference(resolve,[$cnf( $equal(ld(B,mult(mult(X_83,ld(X_82,mult(X_82,X_83))),ld(X_83,B))),ld(B,mult(mult(X_83,X_83),ld(X_83,B)))) )],[refute_0_156,refute_0_174]) ).

cnf(refute_0_176,plain,
    ( ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))) != ld(B,mult(mult(X_83,X_83),ld(X_83,B)))
    | ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))) != ld(ld(X_83,B),B)
    | ld(B,mult(mult(X_83,X_83),ld(X_83,B))) = ld(ld(X_83,B),B) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))),ld(ld(X_83,B),B)) ),[0],$fot(ld(B,mult(mult(X_83,X_83),ld(X_83,B))))]]) ).

cnf(refute_0_177,plain,
    ( ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))) != ld(ld(X_83,B),B)
    | ld(B,mult(mult(X_83,X_83),ld(X_83,B))) = ld(ld(X_83,B),B) ),
    inference(resolve,[$cnf( $equal(ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))),ld(B,mult(mult(X_83,X_83),ld(X_83,B)))) )],[refute_0_175,refute_0_176]) ).

cnf(refute_0_178,plain,
    ld(B,mult(mult(X_83,X_83),ld(X_83,B))) = ld(ld(X_83,B),B),
    inference(resolve,[$cnf( $equal(ld(mult(X_82,ld(X_83,B)),mult(mult(X_82,X_83),ld(X_83,B))),ld(ld(X_83,B),B)) )],[refute_0_143,refute_0_177]) ).

cnf(refute_0_179,plain,
    ld(A,mult(mult(X_86,X_86),ld(X_86,A))) = ld(ld(X_86,A),A),
    inference(subst,[],[refute_0_178:[bind(B,$fot(A)),bind(X_83,$fot(X_86))]]) ).

cnf(refute_0_180,plain,
    ( ld(A,mult(mult(X_86,X_86),ld(X_86,A))) != ld(ld(X_86,A),A)
    | mult(A,ld(A,mult(mult(X_86,X_86),ld(X_86,A)))) != mult(mult(X_86,X_86),ld(X_86,A))
    | mult(A,ld(ld(X_86,A),A)) = mult(mult(X_86,X_86),ld(X_86,A)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(A,ld(A,mult(mult(X_86,X_86),ld(X_86,A)))),mult(mult(X_86,X_86),ld(X_86,A))) ),[0,1],$fot(ld(ld(X_86,A),A))]]) ).

cnf(refute_0_181,plain,
    ( mult(A,ld(A,mult(mult(X_86,X_86),ld(X_86,A)))) != mult(mult(X_86,X_86),ld(X_86,A))
    | mult(A,ld(ld(X_86,A),A)) = mult(mult(X_86,X_86),ld(X_86,A)) ),
    inference(resolve,[$cnf( $equal(ld(A,mult(mult(X_86,X_86),ld(X_86,A))),ld(ld(X_86,A),A)) )],[refute_0_179,refute_0_180]) ).

cnf(refute_0_182,plain,
    mult(A,ld(ld(X_86,A),A)) = mult(mult(X_86,X_86),ld(X_86,A)),
    inference(resolve,[$cnf( $equal(mult(A,ld(A,mult(mult(X_86,X_86),ld(X_86,A)))),mult(mult(X_86,X_86),ld(X_86,A))) )],[refute_0_131,refute_0_181]) ).

cnf(refute_0_183,plain,
    ld(rd(mult(X_45,X_46),X_45),mult(rd(mult(X_45,X_46),X_45),mult(X_45,X_47))) = mult(X_45,X_47),
    inference(subst,[],[c02:[bind(A,$fot(rd(mult(X_45,X_46),X_45))),bind(B,$fot(mult(X_45,X_47)))]]) ).

cnf(refute_0_184,plain,
    mult(X_45,mult(X_46,X_47)) = mult(rd(mult(X_45,X_46),X_45),mult(X_45,X_47)),
    inference(subst,[],[c08:[bind(A,$fot(X_45)),bind(B,$fot(X_46)),bind(C,$fot(X_47))]]) ).

cnf(refute_0_185,plain,
    ( mult(X_45,mult(X_46,X_47)) != mult(rd(mult(X_45,X_46),X_45),mult(X_45,X_47))
    | mult(rd(mult(X_45,X_46),X_45),mult(X_45,X_47)) = mult(X_45,mult(X_46,X_47)) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(mult(X_45,mult(X_46,X_47)))),bind(Y,$fot(mult(rd(mult(X_45,X_46),X_45),mult(X_45,X_47))))]]) ).

cnf(refute_0_186,plain,
    mult(rd(mult(X_45,X_46),X_45),mult(X_45,X_47)) = mult(X_45,mult(X_46,X_47)),
    inference(resolve,[$cnf( $equal(mult(X_45,mult(X_46,X_47)),mult(rd(mult(X_45,X_46),X_45),mult(X_45,X_47))) )],[refute_0_184,refute_0_185]) ).

cnf(refute_0_187,plain,
    ( ld(rd(mult(X_45,X_46),X_45),mult(rd(mult(X_45,X_46),X_45),mult(X_45,X_47))) != mult(X_45,X_47)
    | mult(rd(mult(X_45,X_46),X_45),mult(X_45,X_47)) != mult(X_45,mult(X_46,X_47))
    | ld(rd(mult(X_45,X_46),X_45),mult(X_45,mult(X_46,X_47))) = mult(X_45,X_47) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(rd(mult(X_45,X_46),X_45),mult(rd(mult(X_45,X_46),X_45),mult(X_45,X_47))),mult(X_45,X_47)) ),[0,1],$fot(mult(X_45,mult(X_46,X_47)))]]) ).

cnf(refute_0_188,plain,
    ( ld(rd(mult(X_45,X_46),X_45),mult(rd(mult(X_45,X_46),X_45),mult(X_45,X_47))) != mult(X_45,X_47)
    | ld(rd(mult(X_45,X_46),X_45),mult(X_45,mult(X_46,X_47))) = mult(X_45,X_47) ),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_45,X_46),X_45),mult(X_45,X_47)),mult(X_45,mult(X_46,X_47))) )],[refute_0_186,refute_0_187]) ).

cnf(refute_0_189,plain,
    ld(rd(mult(X_45,X_46),X_45),mult(X_45,mult(X_46,X_47))) = mult(X_45,X_47),
    inference(resolve,[$cnf( $equal(ld(rd(mult(X_45,X_46),X_45),mult(rd(mult(X_45,X_46),X_45),mult(X_45,X_47))),mult(X_45,X_47)) )],[refute_0_183,refute_0_188]) ).

cnf(refute_0_190,plain,
    ld(rd(mult(X_68,X_69),X_68),mult(X_68,mult(X_69,ld(X_69,B)))) = mult(X_68,ld(X_69,B)),
    inference(subst,[],[refute_0_189:[bind(X_45,$fot(X_68)),bind(X_46,$fot(X_69)),bind(X_47,$fot(ld(X_69,B)))]]) ).

cnf(refute_0_191,plain,
    mult(X_69,ld(X_69,B)) = B,
    inference(subst,[],[c01:[bind(A,$fot(X_69))]]) ).

cnf(refute_0_192,plain,
    ( ld(rd(mult(X_68,X_69),X_68),mult(X_68,mult(X_69,ld(X_69,B)))) != mult(X_68,ld(X_69,B))
    | mult(X_69,ld(X_69,B)) != B
    | ld(rd(mult(X_68,X_69),X_68),mult(X_68,B)) = mult(X_68,ld(X_69,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(rd(mult(X_68,X_69),X_68),mult(X_68,mult(X_69,ld(X_69,B)))),mult(X_68,ld(X_69,B))) ),[0,1,1],$fot(B)]]) ).

cnf(refute_0_193,plain,
    ( ld(rd(mult(X_68,X_69),X_68),mult(X_68,mult(X_69,ld(X_69,B)))) != mult(X_68,ld(X_69,B))
    | ld(rd(mult(X_68,X_69),X_68),mult(X_68,B)) = mult(X_68,ld(X_69,B)) ),
    inference(resolve,[$cnf( $equal(mult(X_69,ld(X_69,B)),B) )],[refute_0_191,refute_0_192]) ).

cnf(refute_0_194,plain,
    ld(rd(mult(X_68,X_69),X_68),mult(X_68,B)) = mult(X_68,ld(X_69,B)),
    inference(resolve,[$cnf( $equal(ld(rd(mult(X_68,X_69),X_68),mult(X_68,mult(X_69,ld(X_69,B)))),mult(X_68,ld(X_69,B))) )],[refute_0_190,refute_0_193]) ).

cnf(refute_0_195,plain,
    ld(rd(mult(mult(X_69,X_69),X_69),mult(X_69,X_69)),mult(mult(X_69,X_69),B)) = mult(mult(X_69,X_69),ld(X_69,B)),
    inference(subst,[],[refute_0_194:[bind(X_68,$fot(mult(X_69,X_69)))]]) ).

cnf(refute_0_196,plain,
    i(i(ld(ld(i(X_38),X_37),X_38))) = ld(ld(i(X_38),X_37),X_38),
    inference(subst,[],[refute_0_52:[bind(X_4,$fot(ld(ld(i(X_38),X_37),X_38)))]]) ).

cnf(refute_0_197,plain,
    mult(i(X_36),ld(i(X_36),B)) = B,
    inference(subst,[],[c01:[bind(A,$fot(i(X_36)))]]) ).

cnf(refute_0_198,plain,
    mult(i(X_36),ld(i(X_36),B)) = i(ld(ld(i(X_36),B),X_36)),
    inference(subst,[],[refute_0_109:[bind(X_13,$fot(ld(i(X_36),B))),bind(X_19,$fot(X_36))]]) ).

cnf(refute_0_199,plain,
    ( mult(i(X_36),ld(i(X_36),B)) != B
    | mult(i(X_36),ld(i(X_36),B)) != i(ld(ld(i(X_36),B),X_36))
    | i(ld(ld(i(X_36),B),X_36)) = B ),
    introduced(tautology,[equality,[$cnf( $equal(mult(i(X_36),ld(i(X_36),B)),B) ),[0],$fot(i(ld(ld(i(X_36),B),X_36)))]]) ).

cnf(refute_0_200,plain,
    ( mult(i(X_36),ld(i(X_36),B)) != B
    | i(ld(ld(i(X_36),B),X_36)) = B ),
    inference(resolve,[$cnf( $equal(mult(i(X_36),ld(i(X_36),B)),i(ld(ld(i(X_36),B),X_36))) )],[refute_0_198,refute_0_199]) ).

cnf(refute_0_201,plain,
    i(ld(ld(i(X_36),B),X_36)) = B,
    inference(resolve,[$cnf( $equal(mult(i(X_36),ld(i(X_36),B)),B) )],[refute_0_197,refute_0_200]) ).

cnf(refute_0_202,plain,
    i(ld(ld(i(X_38),X_37),X_38)) = X_37,
    inference(subst,[],[refute_0_201:[bind(B,$fot(X_37)),bind(X_36,$fot(X_38))]]) ).

cnf(refute_0_203,plain,
    ( i(i(ld(ld(i(X_38),X_37),X_38))) != ld(ld(i(X_38),X_37),X_38)
    | i(ld(ld(i(X_38),X_37),X_38)) != X_37
    | i(X_37) = ld(ld(i(X_38),X_37),X_38) ),
    introduced(tautology,[equality,[$cnf( $equal(i(i(ld(ld(i(X_38),X_37),X_38))),ld(ld(i(X_38),X_37),X_38)) ),[0,0],$fot(X_37)]]) ).

cnf(refute_0_204,plain,
    ( i(i(ld(ld(i(X_38),X_37),X_38))) != ld(ld(i(X_38),X_37),X_38)
    | i(X_37) = ld(ld(i(X_38),X_37),X_38) ),
    inference(resolve,[$cnf( $equal(i(ld(ld(i(X_38),X_37),X_38)),X_37) )],[refute_0_202,refute_0_203]) ).

cnf(refute_0_205,plain,
    i(X_37) = ld(ld(i(X_38),X_37),X_38),
    inference(resolve,[$cnf( $equal(i(i(ld(ld(i(X_38),X_37),X_38))),ld(ld(i(X_38),X_37),X_38)) )],[refute_0_196,refute_0_204]) ).

cnf(refute_0_206,plain,
    i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))) = ld(ld(i(X_38),mult(mult(X_86,X_86),ld(X_86,i(X_38)))),X_38),
    inference(subst,[],[refute_0_205:[bind(X_37,$fot(mult(mult(X_86,X_86),ld(X_86,i(X_38)))))]]) ).

cnf(refute_0_207,plain,
    ld(i(X_38),mult(mult(X_86,X_86),ld(X_86,i(X_38)))) = ld(ld(X_86,i(X_38)),i(X_38)),
    inference(subst,[],[refute_0_178:[bind(B,$fot(i(X_38))),bind(X_83,$fot(X_86))]]) ).

cnf(refute_0_208,plain,
    ( i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))) != ld(ld(i(X_38),mult(mult(X_86,X_86),ld(X_86,i(X_38)))),X_38)
    | ld(i(X_38),mult(mult(X_86,X_86),ld(X_86,i(X_38)))) != ld(ld(X_86,i(X_38)),i(X_38))
    | i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))) = ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38) ),
    introduced(tautology,[equality,[$cnf( $equal(i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))),ld(ld(i(X_38),mult(mult(X_86,X_86),ld(X_86,i(X_38)))),X_38)) ),[1,0],$fot(ld(ld(X_86,i(X_38)),i(X_38)))]]) ).

cnf(refute_0_209,plain,
    ( i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))) != ld(ld(i(X_38),mult(mult(X_86,X_86),ld(X_86,i(X_38)))),X_38)
    | i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))) = ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38) ),
    inference(resolve,[$cnf( $equal(ld(i(X_38),mult(mult(X_86,X_86),ld(X_86,i(X_38)))),ld(ld(X_86,i(X_38)),i(X_38))) )],[refute_0_207,refute_0_208]) ).

cnf(refute_0_210,plain,
    i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))) = ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38),
    inference(resolve,[$cnf( $equal(i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))),ld(ld(i(X_38),mult(mult(X_86,X_86),ld(X_86,i(X_38)))),X_38)) )],[refute_0_206,refute_0_209]) ).

cnf(refute_0_211,plain,
    i(i(rd(mult(X_38,X_86),mult(X_86,X_86)))) = rd(mult(X_38,X_86),mult(X_86,X_86)),
    inference(subst,[],[refute_0_52:[bind(X_4,$fot(rd(mult(X_38,X_86),mult(X_86,X_86))))]]) ).

cnf(refute_0_212,plain,
    mult(mult(X_86,X_86),i(mult(X_38,X_86))) = i(rd(mult(X_38,X_86),mult(X_86,X_86))),
    inference(subst,[],[refute_0_25:[bind(A,$fot(mult(X_38,X_86))),bind(X_12,$fot(mult(X_86,X_86)))]]) ).

cnf(refute_0_213,plain,
    ld(X_23,mult(X_23,i(A))) = i(A),
    inference(subst,[],[c02:[bind(A,$fot(X_23)),bind(B,$fot(i(A)))]]) ).

cnf(refute_0_214,plain,
    mult(X_23,i(A)) = i(rd(A,X_23)),
    inference(subst,[],[refute_0_25:[bind(X_12,$fot(X_23))]]) ).

cnf(refute_0_215,plain,
    ( ld(X_23,mult(X_23,i(A))) != i(A)
    | mult(X_23,i(A)) != i(rd(A,X_23))
    | ld(X_23,i(rd(A,X_23))) = i(A) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(X_23,mult(X_23,i(A))),i(A)) ),[0,1],$fot(i(rd(A,X_23)))]]) ).

cnf(refute_0_216,plain,
    ( ld(X_23,mult(X_23,i(A))) != i(A)
    | ld(X_23,i(rd(A,X_23))) = i(A) ),
    inference(resolve,[$cnf( $equal(mult(X_23,i(A)),i(rd(A,X_23))) )],[refute_0_214,refute_0_215]) ).

cnf(refute_0_217,plain,
    ld(X_23,i(rd(A,X_23))) = i(A),
    inference(resolve,[$cnf( $equal(ld(X_23,mult(X_23,i(A))),i(A)) )],[refute_0_213,refute_0_216]) ).

cnf(refute_0_218,plain,
    ld(X_26,i(rd(mult(A,X_26),X_26))) = i(mult(A,X_26)),
    inference(subst,[],[refute_0_217:[bind(A,$fot(mult(A,X_26))),bind(X_23,$fot(X_26))]]) ).

cnf(refute_0_219,plain,
    rd(mult(A,X_26),X_26) = A,
    inference(subst,[],[c04:[bind(B,$fot(X_26))]]) ).

cnf(refute_0_220,plain,
    ( ld(X_26,i(rd(mult(A,X_26),X_26))) != i(mult(A,X_26))
    | rd(mult(A,X_26),X_26) != A
    | ld(X_26,i(A)) = i(mult(A,X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(X_26,i(rd(mult(A,X_26),X_26))),i(mult(A,X_26))) ),[0,1,0],$fot(A)]]) ).

cnf(refute_0_221,plain,
    ( ld(X_26,i(rd(mult(A,X_26),X_26))) != i(mult(A,X_26))
    | ld(X_26,i(A)) = i(mult(A,X_26)) ),
    inference(resolve,[$cnf( $equal(rd(mult(A,X_26),X_26),A) )],[refute_0_219,refute_0_220]) ).

cnf(refute_0_222,plain,
    ld(X_26,i(A)) = i(mult(A,X_26)),
    inference(resolve,[$cnf( $equal(ld(X_26,i(rd(mult(A,X_26),X_26))),i(mult(A,X_26))) )],[refute_0_218,refute_0_221]) ).

cnf(refute_0_223,plain,
    ld(X_86,i(X_38)) = i(mult(X_38,X_86)),
    inference(subst,[],[refute_0_222:[bind(A,$fot(X_38)),bind(X_26,$fot(X_86))]]) ).

cnf(refute_0_224,plain,
    mult(mult(X_86,X_86),ld(X_86,i(X_38))) = mult(mult(X_86,X_86),ld(X_86,i(X_38))),
    introduced(tautology,[refl,[$fot(mult(mult(X_86,X_86),ld(X_86,i(X_38))))]]) ).

cnf(refute_0_225,plain,
    ( ld(X_86,i(X_38)) != i(mult(X_38,X_86))
    | mult(mult(X_86,X_86),ld(X_86,i(X_38))) != mult(mult(X_86,X_86),ld(X_86,i(X_38)))
    | mult(mult(X_86,X_86),ld(X_86,i(X_38))) = mult(mult(X_86,X_86),i(mult(X_38,X_86))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_86,X_86),ld(X_86,i(X_38))),mult(mult(X_86,X_86),ld(X_86,i(X_38)))) ),[1,1],$fot(i(mult(X_38,X_86)))]]) ).

cnf(refute_0_226,plain,
    ( ld(X_86,i(X_38)) != i(mult(X_38,X_86))
    | mult(mult(X_86,X_86),ld(X_86,i(X_38))) = mult(mult(X_86,X_86),i(mult(X_38,X_86))) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_86,X_86),ld(X_86,i(X_38))),mult(mult(X_86,X_86),ld(X_86,i(X_38)))) )],[refute_0_224,refute_0_225]) ).

cnf(refute_0_227,plain,
    mult(mult(X_86,X_86),ld(X_86,i(X_38))) = mult(mult(X_86,X_86),i(mult(X_38,X_86))),
    inference(resolve,[$cnf( $equal(ld(X_86,i(X_38)),i(mult(X_38,X_86))) )],[refute_0_223,refute_0_226]) ).

cnf(refute_0_228,plain,
    ( mult(mult(X_86,X_86),i(mult(X_38,X_86))) != i(rd(mult(X_38,X_86),mult(X_86,X_86)))
    | mult(mult(X_86,X_86),ld(X_86,i(X_38))) != mult(mult(X_86,X_86),i(mult(X_38,X_86)))
    | mult(mult(X_86,X_86),ld(X_86,i(X_38))) = i(rd(mult(X_38,X_86),mult(X_86,X_86))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(mult(X_86,X_86),ld(X_86,i(X_38))))),bind(Y,$fot(mult(mult(X_86,X_86),i(mult(X_38,X_86))))),bind(Z,$fot(i(rd(mult(X_38,X_86),mult(X_86,X_86)))))]]) ).

cnf(refute_0_229,plain,
    ( mult(mult(X_86,X_86),i(mult(X_38,X_86))) != i(rd(mult(X_38,X_86),mult(X_86,X_86)))
    | mult(mult(X_86,X_86),ld(X_86,i(X_38))) = i(rd(mult(X_38,X_86),mult(X_86,X_86))) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_86,X_86),ld(X_86,i(X_38))),mult(mult(X_86,X_86),i(mult(X_38,X_86)))) )],[refute_0_227,refute_0_228]) ).

cnf(refute_0_230,plain,
    mult(mult(X_86,X_86),ld(X_86,i(X_38))) = i(rd(mult(X_38,X_86),mult(X_86,X_86))),
    inference(resolve,[$cnf( $equal(mult(mult(X_86,X_86),i(mult(X_38,X_86))),i(rd(mult(X_38,X_86),mult(X_86,X_86)))) )],[refute_0_212,refute_0_229]) ).

cnf(refute_0_231,plain,
    i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))) = i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))),
    introduced(tautology,[refl,[$fot(i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))))]]) ).

cnf(refute_0_232,plain,
    ( i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))) != i(mult(mult(X_86,X_86),ld(X_86,i(X_38))))
    | mult(mult(X_86,X_86),ld(X_86,i(X_38))) != i(rd(mult(X_38,X_86),mult(X_86,X_86)))
    | i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))) = i(i(rd(mult(X_38,X_86),mult(X_86,X_86)))) ),
    introduced(tautology,[equality,[$cnf( $equal(i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))),i(mult(mult(X_86,X_86),ld(X_86,i(X_38))))) ),[1,0],$fot(i(rd(mult(X_38,X_86),mult(X_86,X_86))))]]) ).

cnf(refute_0_233,plain,
    ( mult(mult(X_86,X_86),ld(X_86,i(X_38))) != i(rd(mult(X_38,X_86),mult(X_86,X_86)))
    | i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))) = i(i(rd(mult(X_38,X_86),mult(X_86,X_86)))) ),
    inference(resolve,[$cnf( $equal(i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))),i(mult(mult(X_86,X_86),ld(X_86,i(X_38))))) )],[refute_0_231,refute_0_232]) ).

cnf(refute_0_234,plain,
    i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))) = i(i(rd(mult(X_38,X_86),mult(X_86,X_86)))),
    inference(resolve,[$cnf( $equal(mult(mult(X_86,X_86),ld(X_86,i(X_38))),i(rd(mult(X_38,X_86),mult(X_86,X_86)))) )],[refute_0_230,refute_0_233]) ).

cnf(refute_0_235,plain,
    ( i(i(rd(mult(X_38,X_86),mult(X_86,X_86)))) != rd(mult(X_38,X_86),mult(X_86,X_86))
    | i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))) != i(i(rd(mult(X_38,X_86),mult(X_86,X_86))))
    | i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))) = rd(mult(X_38,X_86),mult(X_86,X_86)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))))),bind(Y,$fot(i(i(rd(mult(X_38,X_86),mult(X_86,X_86)))))),bind(Z,$fot(rd(mult(X_38,X_86),mult(X_86,X_86))))]]) ).

cnf(refute_0_236,plain,
    ( i(i(rd(mult(X_38,X_86),mult(X_86,X_86)))) != rd(mult(X_38,X_86),mult(X_86,X_86))
    | i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))) = rd(mult(X_38,X_86),mult(X_86,X_86)) ),
    inference(resolve,[$cnf( $equal(i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))),i(i(rd(mult(X_38,X_86),mult(X_86,X_86))))) )],[refute_0_234,refute_0_235]) ).

cnf(refute_0_237,plain,
    i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))) = rd(mult(X_38,X_86),mult(X_86,X_86)),
    inference(resolve,[$cnf( $equal(i(i(rd(mult(X_38,X_86),mult(X_86,X_86)))),rd(mult(X_38,X_86),mult(X_86,X_86))) )],[refute_0_211,refute_0_236]) ).

cnf(refute_0_238,plain,
    ( i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))) != ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38)
    | i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))) != rd(mult(X_38,X_86),mult(X_86,X_86))
    | rd(mult(X_38,X_86),mult(X_86,X_86)) = ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38) ),
    introduced(tautology,[equality,[$cnf( $equal(i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))),ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38)) ),[0],$fot(rd(mult(X_38,X_86),mult(X_86,X_86)))]]) ).

cnf(refute_0_239,plain,
    ( i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))) != ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38)
    | rd(mult(X_38,X_86),mult(X_86,X_86)) = ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38) ),
    inference(resolve,[$cnf( $equal(i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))),rd(mult(X_38,X_86),mult(X_86,X_86))) )],[refute_0_237,refute_0_238]) ).

cnf(refute_0_240,plain,
    i(rd(rd(X_38,X_86),X_38)) = rd(mult(X_38,X_86),X_38),
    inference(subst,[],[refute_0_75:[bind(X_72,$fot(X_38)),bind(X_73,$fot(X_86))]]) ).

cnf(refute_0_241,plain,
    i(i(rd(rd(X_74,X_75),X_74))) = rd(rd(X_74,X_75),X_74),
    inference(subst,[],[refute_0_52:[bind(X_4,$fot(rd(rd(X_74,X_75),X_74)))]]) ).

cnf(refute_0_242,plain,
    i(rd(rd(X_74,X_75),X_74)) = rd(mult(X_74,X_75),X_74),
    inference(subst,[],[refute_0_75:[bind(X_72,$fot(X_74)),bind(X_73,$fot(X_75))]]) ).

cnf(refute_0_243,plain,
    ( i(i(rd(rd(X_74,X_75),X_74))) != rd(rd(X_74,X_75),X_74)
    | i(rd(rd(X_74,X_75),X_74)) != rd(mult(X_74,X_75),X_74)
    | i(rd(mult(X_74,X_75),X_74)) = rd(rd(X_74,X_75),X_74) ),
    introduced(tautology,[equality,[$cnf( $equal(i(i(rd(rd(X_74,X_75),X_74))),rd(rd(X_74,X_75),X_74)) ),[0,0],$fot(rd(mult(X_74,X_75),X_74))]]) ).

cnf(refute_0_244,plain,
    ( i(i(rd(rd(X_74,X_75),X_74))) != rd(rd(X_74,X_75),X_74)
    | i(rd(mult(X_74,X_75),X_74)) = rd(rd(X_74,X_75),X_74) ),
    inference(resolve,[$cnf( $equal(i(rd(rd(X_74,X_75),X_74)),rd(mult(X_74,X_75),X_74)) )],[refute_0_242,refute_0_243]) ).

cnf(refute_0_245,plain,
    i(rd(mult(X_74,X_75),X_74)) = rd(rd(X_74,X_75),X_74),
    inference(resolve,[$cnf( $equal(i(i(rd(rd(X_74,X_75),X_74))),rd(rd(X_74,X_75),X_74)) )],[refute_0_241,refute_0_244]) ).

cnf(refute_0_246,plain,
    i(rd(mult(X_38,X_86),X_38)) = rd(rd(X_38,X_86),X_38),
    inference(subst,[],[refute_0_245:[bind(X_74,$fot(X_38)),bind(X_75,$fot(X_86))]]) ).

cnf(refute_0_247,plain,
    mult(X_38,i(mult(X_38,X_86))) = i(rd(mult(X_38,X_86),X_38)),
    inference(subst,[],[refute_0_25:[bind(A,$fot(mult(X_38,X_86))),bind(X_12,$fot(X_38))]]) ).

cnf(refute_0_248,plain,
    ( i(rd(mult(X_38,X_86),X_38)) != rd(rd(X_38,X_86),X_38)
    | mult(X_38,i(mult(X_38,X_86))) != i(rd(mult(X_38,X_86),X_38))
    | mult(X_38,i(mult(X_38,X_86))) = rd(rd(X_38,X_86),X_38) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(X_38,i(mult(X_38,X_86))))),bind(Y,$fot(i(rd(mult(X_38,X_86),X_38)))),bind(Z,$fot(rd(rd(X_38,X_86),X_38)))]]) ).

cnf(refute_0_249,plain,
    ( i(rd(mult(X_38,X_86),X_38)) != rd(rd(X_38,X_86),X_38)
    | mult(X_38,i(mult(X_38,X_86))) = rd(rd(X_38,X_86),X_38) ),
    inference(resolve,[$cnf( $equal(mult(X_38,i(mult(X_38,X_86))),i(rd(mult(X_38,X_86),X_38))) )],[refute_0_247,refute_0_248]) ).

cnf(refute_0_250,plain,
    mult(X_38,i(mult(X_38,X_86))) = rd(rd(X_38,X_86),X_38),
    inference(resolve,[$cnf( $equal(i(rd(mult(X_38,X_86),X_38)),rd(rd(X_38,X_86),X_38)) )],[refute_0_246,refute_0_249]) ).

cnf(refute_0_251,plain,
    mult(X_38,ld(X_86,i(X_38))) = mult(X_38,ld(X_86,i(X_38))),
    introduced(tautology,[refl,[$fot(mult(X_38,ld(X_86,i(X_38))))]]) ).

cnf(refute_0_252,plain,
    ( ld(X_86,i(X_38)) != i(mult(X_38,X_86))
    | mult(X_38,ld(X_86,i(X_38))) != mult(X_38,ld(X_86,i(X_38)))
    | mult(X_38,ld(X_86,i(X_38))) = mult(X_38,i(mult(X_38,X_86))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_38,ld(X_86,i(X_38))),mult(X_38,ld(X_86,i(X_38)))) ),[1,1],$fot(i(mult(X_38,X_86)))]]) ).

cnf(refute_0_253,plain,
    ( ld(X_86,i(X_38)) != i(mult(X_38,X_86))
    | mult(X_38,ld(X_86,i(X_38))) = mult(X_38,i(mult(X_38,X_86))) ),
    inference(resolve,[$cnf( $equal(mult(X_38,ld(X_86,i(X_38))),mult(X_38,ld(X_86,i(X_38)))) )],[refute_0_251,refute_0_252]) ).

cnf(refute_0_254,plain,
    mult(X_38,ld(X_86,i(X_38))) = mult(X_38,i(mult(X_38,X_86))),
    inference(resolve,[$cnf( $equal(ld(X_86,i(X_38)),i(mult(X_38,X_86))) )],[refute_0_223,refute_0_253]) ).

cnf(refute_0_255,plain,
    ( mult(X_38,i(mult(X_38,X_86))) != rd(rd(X_38,X_86),X_38)
    | mult(X_38,ld(X_86,i(X_38))) != mult(X_38,i(mult(X_38,X_86)))
    | mult(X_38,ld(X_86,i(X_38))) = rd(rd(X_38,X_86),X_38) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(X_38,ld(X_86,i(X_38))))),bind(Y,$fot(mult(X_38,i(mult(X_38,X_86))))),bind(Z,$fot(rd(rd(X_38,X_86),X_38)))]]) ).

cnf(refute_0_256,plain,
    ( mult(X_38,i(mult(X_38,X_86))) != rd(rd(X_38,X_86),X_38)
    | mult(X_38,ld(X_86,i(X_38))) = rd(rd(X_38,X_86),X_38) ),
    inference(resolve,[$cnf( $equal(mult(X_38,ld(X_86,i(X_38))),mult(X_38,i(mult(X_38,X_86)))) )],[refute_0_254,refute_0_255]) ).

cnf(refute_0_257,plain,
    mult(X_38,ld(X_86,i(X_38))) = rd(rd(X_38,X_86),X_38),
    inference(resolve,[$cnf( $equal(mult(X_38,i(mult(X_38,X_86))),rd(rd(X_38,X_86),X_38)) )],[refute_0_250,refute_0_256]) ).

cnf(refute_0_258,plain,
    i(mult(X_38,ld(X_86,i(X_38)))) = i(mult(X_38,ld(X_86,i(X_38)))),
    introduced(tautology,[refl,[$fot(i(mult(X_38,ld(X_86,i(X_38)))))]]) ).

cnf(refute_0_259,plain,
    ( i(mult(X_38,ld(X_86,i(X_38)))) != i(mult(X_38,ld(X_86,i(X_38))))
    | mult(X_38,ld(X_86,i(X_38))) != rd(rd(X_38,X_86),X_38)
    | i(mult(X_38,ld(X_86,i(X_38)))) = i(rd(rd(X_38,X_86),X_38)) ),
    introduced(tautology,[equality,[$cnf( $equal(i(mult(X_38,ld(X_86,i(X_38)))),i(mult(X_38,ld(X_86,i(X_38))))) ),[1,0],$fot(rd(rd(X_38,X_86),X_38))]]) ).

cnf(refute_0_260,plain,
    ( mult(X_38,ld(X_86,i(X_38))) != rd(rd(X_38,X_86),X_38)
    | i(mult(X_38,ld(X_86,i(X_38)))) = i(rd(rd(X_38,X_86),X_38)) ),
    inference(resolve,[$cnf( $equal(i(mult(X_38,ld(X_86,i(X_38)))),i(mult(X_38,ld(X_86,i(X_38))))) )],[refute_0_258,refute_0_259]) ).

cnf(refute_0_261,plain,
    i(mult(X_38,ld(X_86,i(X_38)))) = i(rd(rd(X_38,X_86),X_38)),
    inference(resolve,[$cnf( $equal(mult(X_38,ld(X_86,i(X_38))),rd(rd(X_38,X_86),X_38)) )],[refute_0_257,refute_0_260]) ).

cnf(refute_0_262,plain,
    ( i(mult(X_38,ld(X_86,i(X_38)))) != i(rd(rd(X_38,X_86),X_38))
    | i(rd(rd(X_38,X_86),X_38)) != rd(mult(X_38,X_86),X_38)
    | i(mult(X_38,ld(X_86,i(X_38)))) = rd(mult(X_38,X_86),X_38) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(i(mult(X_38,ld(X_86,i(X_38)))))),bind(Y,$fot(i(rd(rd(X_38,X_86),X_38)))),bind(Z,$fot(rd(mult(X_38,X_86),X_38)))]]) ).

cnf(refute_0_263,plain,
    ( i(rd(rd(X_38,X_86),X_38)) != rd(mult(X_38,X_86),X_38)
    | i(mult(X_38,ld(X_86,i(X_38)))) = rd(mult(X_38,X_86),X_38) ),
    inference(resolve,[$cnf( $equal(i(mult(X_38,ld(X_86,i(X_38)))),i(rd(rd(X_38,X_86),X_38))) )],[refute_0_261,refute_0_262]) ).

cnf(refute_0_264,plain,
    i(mult(X_38,ld(X_86,i(X_38)))) = rd(mult(X_38,X_86),X_38),
    inference(resolve,[$cnf( $equal(i(rd(rd(X_38,X_86),X_38)),rd(mult(X_38,X_86),X_38)) )],[refute_0_240,refute_0_263]) ).

cnf(refute_0_265,plain,
    ld(ld(X_86,i(X_38)),i(X_38)) = i(mult(X_38,ld(X_86,i(X_38)))),
    inference(subst,[],[refute_0_222:[bind(A,$fot(X_38)),bind(X_26,$fot(ld(X_86,i(X_38))))]]) ).

cnf(refute_0_266,plain,
    ( i(mult(X_38,ld(X_86,i(X_38)))) != rd(mult(X_38,X_86),X_38)
    | ld(ld(X_86,i(X_38)),i(X_38)) != i(mult(X_38,ld(X_86,i(X_38))))
    | ld(ld(X_86,i(X_38)),i(X_38)) = rd(mult(X_38,X_86),X_38) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(ld(ld(X_86,i(X_38)),i(X_38)))),bind(Y,$fot(i(mult(X_38,ld(X_86,i(X_38)))))),bind(Z,$fot(rd(mult(X_38,X_86),X_38)))]]) ).

cnf(refute_0_267,plain,
    ( i(mult(X_38,ld(X_86,i(X_38)))) != rd(mult(X_38,X_86),X_38)
    | ld(ld(X_86,i(X_38)),i(X_38)) = rd(mult(X_38,X_86),X_38) ),
    inference(resolve,[$cnf( $equal(ld(ld(X_86,i(X_38)),i(X_38)),i(mult(X_38,ld(X_86,i(X_38))))) )],[refute_0_265,refute_0_266]) ).

cnf(refute_0_268,plain,
    ld(ld(X_86,i(X_38)),i(X_38)) = rd(mult(X_38,X_86),X_38),
    inference(resolve,[$cnf( $equal(i(mult(X_38,ld(X_86,i(X_38)))),rd(mult(X_38,X_86),X_38)) )],[refute_0_264,refute_0_267]) ).

cnf(refute_0_269,plain,
    ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38) = ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38),
    introduced(tautology,[refl,[$fot(ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38))]]) ).

cnf(refute_0_270,plain,
    ( ld(ld(X_86,i(X_38)),i(X_38)) != rd(mult(X_38,X_86),X_38)
    | ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38) != ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38)
    | ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38) = ld(rd(mult(X_38,X_86),X_38),X_38) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38),ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38)) ),[1,0],$fot(rd(mult(X_38,X_86),X_38))]]) ).

cnf(refute_0_271,plain,
    ( ld(ld(X_86,i(X_38)),i(X_38)) != rd(mult(X_38,X_86),X_38)
    | ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38) = ld(rd(mult(X_38,X_86),X_38),X_38) ),
    inference(resolve,[$cnf( $equal(ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38),ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38)) )],[refute_0_269,refute_0_270]) ).

cnf(refute_0_272,plain,
    ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38) = ld(rd(mult(X_38,X_86),X_38),X_38),
    inference(resolve,[$cnf( $equal(ld(ld(X_86,i(X_38)),i(X_38)),rd(mult(X_38,X_86),X_38)) )],[refute_0_268,refute_0_271]) ).

cnf(refute_0_273,plain,
    ( ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38) != ld(rd(mult(X_38,X_86),X_38),X_38)
    | rd(mult(X_38,X_86),mult(X_86,X_86)) != ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38)
    | rd(mult(X_38,X_86),mult(X_86,X_86)) = ld(rd(mult(X_38,X_86),X_38),X_38) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_38,X_86),mult(X_86,X_86)),ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38)) ),[1],$fot(ld(rd(mult(X_38,X_86),X_38),X_38))]]) ).

cnf(refute_0_274,plain,
    ( rd(mult(X_38,X_86),mult(X_86,X_86)) != ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38)
    | rd(mult(X_38,X_86),mult(X_86,X_86)) = ld(rd(mult(X_38,X_86),X_38),X_38) ),
    inference(resolve,[$cnf( $equal(ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38),ld(rd(mult(X_38,X_86),X_38),X_38)) )],[refute_0_272,refute_0_273]) ).

cnf(refute_0_275,plain,
    ( i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))) != ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38)
    | rd(mult(X_38,X_86),mult(X_86,X_86)) = ld(rd(mult(X_38,X_86),X_38),X_38) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_38,X_86),mult(X_86,X_86)),ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38)) )],[refute_0_239,refute_0_274]) ).

cnf(refute_0_276,plain,
    rd(mult(X_38,X_86),mult(X_86,X_86)) = ld(rd(mult(X_38,X_86),X_38),X_38),
    inference(resolve,[$cnf( $equal(i(mult(mult(X_86,X_86),ld(X_86,i(X_38)))),ld(ld(ld(X_86,i(X_38)),i(X_38)),X_38)) )],[refute_0_210,refute_0_275]) ).

cnf(refute_0_277,plain,
    i(rd(X_103,X_38)) = ld(ld(i(X_38),rd(X_103,X_38)),X_38),
    inference(subst,[],[refute_0_205:[bind(X_37,$fot(rd(X_103,X_38)))]]) ).

cnf(refute_0_278,plain,
    rd(mult(rd(mult(X_45,X_46),X_45),mult(X_45,X_47)),mult(X_45,X_47)) = rd(mult(X_45,X_46),X_45),
    inference(subst,[],[c04:[bind(A,$fot(rd(mult(X_45,X_46),X_45))),bind(B,$fot(mult(X_45,X_47)))]]) ).

cnf(refute_0_279,plain,
    ( mult(rd(mult(X_45,X_46),X_45),mult(X_45,X_47)) != mult(X_45,mult(X_46,X_47))
    | rd(mult(rd(mult(X_45,X_46),X_45),mult(X_45,X_47)),mult(X_45,X_47)) != rd(mult(X_45,X_46),X_45)
    | rd(mult(X_45,mult(X_46,X_47)),mult(X_45,X_47)) = rd(mult(X_45,X_46),X_45) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(mult(X_45,X_46),X_45),mult(X_45,X_47)),mult(X_45,X_47)),rd(mult(X_45,X_46),X_45)) ),[0,0],$fot(mult(X_45,mult(X_46,X_47)))]]) ).

cnf(refute_0_280,plain,
    ( rd(mult(rd(mult(X_45,X_46),X_45),mult(X_45,X_47)),mult(X_45,X_47)) != rd(mult(X_45,X_46),X_45)
    | rd(mult(X_45,mult(X_46,X_47)),mult(X_45,X_47)) = rd(mult(X_45,X_46),X_45) ),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_45,X_46),X_45),mult(X_45,X_47)),mult(X_45,mult(X_46,X_47))) )],[refute_0_186,refute_0_279]) ).

cnf(refute_0_281,plain,
    rd(mult(X_45,mult(X_46,X_47)),mult(X_45,X_47)) = rd(mult(X_45,X_46),X_45),
    inference(resolve,[$cnf( $equal(rd(mult(rd(mult(X_45,X_46),X_45),mult(X_45,X_47)),mult(X_45,X_47)),rd(mult(X_45,X_46),X_45)) )],[refute_0_278,refute_0_280]) ).

cnf(refute_0_282,plain,
    rd(mult(X_48,mult(X_49,i(A))),mult(X_48,i(A))) = rd(mult(X_48,X_49),X_48),
    inference(subst,[],[refute_0_281:[bind(X_45,$fot(X_48)),bind(X_46,$fot(X_49)),bind(X_47,$fot(i(A)))]]) ).

cnf(refute_0_283,plain,
    mult(X_48,i(A)) = i(rd(A,X_48)),
    inference(subst,[],[refute_0_25:[bind(X_12,$fot(X_48))]]) ).

cnf(refute_0_284,plain,
    ( mult(X_48,i(A)) != i(rd(A,X_48))
    | rd(mult(X_48,mult(X_49,i(A))),mult(X_48,i(A))) != rd(mult(X_48,X_49),X_48)
    | rd(mult(X_48,mult(X_49,i(A))),i(rd(A,X_48))) = rd(mult(X_48,X_49),X_48) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_48,mult(X_49,i(A))),mult(X_48,i(A))),rd(mult(X_48,X_49),X_48)) ),[0,1],$fot(i(rd(A,X_48)))]]) ).

cnf(refute_0_285,plain,
    ( rd(mult(X_48,mult(X_49,i(A))),mult(X_48,i(A))) != rd(mult(X_48,X_49),X_48)
    | rd(mult(X_48,mult(X_49,i(A))),i(rd(A,X_48))) = rd(mult(X_48,X_49),X_48) ),
    inference(resolve,[$cnf( $equal(mult(X_48,i(A)),i(rd(A,X_48))) )],[refute_0_283,refute_0_284]) ).

cnf(refute_0_286,plain,
    rd(mult(X_48,mult(X_49,i(A))),i(rd(A,X_48))) = rd(mult(X_48,X_49),X_48),
    inference(resolve,[$cnf( $equal(rd(mult(X_48,mult(X_49,i(A))),mult(X_48,i(A))),rd(mult(X_48,X_49),X_48)) )],[refute_0_282,refute_0_285]) ).

cnf(refute_0_287,plain,
    i(i(rd(rd(A,X_49),X_48))) = rd(rd(A,X_49),X_48),
    inference(subst,[],[refute_0_52:[bind(X_4,$fot(rd(rd(A,X_49),X_48)))]]) ).

cnf(refute_0_288,plain,
    mult(X_48,i(rd(A,X_49))) = i(rd(rd(A,X_49),X_48)),
    inference(subst,[],[refute_0_25:[bind(A,$fot(rd(A,X_49))),bind(X_12,$fot(X_48))]]) ).

cnf(refute_0_289,plain,
    mult(X_49,i(A)) = i(rd(A,X_49)),
    inference(subst,[],[refute_0_25:[bind(X_12,$fot(X_49))]]) ).

cnf(refute_0_290,plain,
    mult(X_48,mult(X_49,i(A))) = mult(X_48,mult(X_49,i(A))),
    introduced(tautology,[refl,[$fot(mult(X_48,mult(X_49,i(A))))]]) ).

cnf(refute_0_291,plain,
    ( mult(X_48,mult(X_49,i(A))) != mult(X_48,mult(X_49,i(A)))
    | mult(X_49,i(A)) != i(rd(A,X_49))
    | mult(X_48,mult(X_49,i(A))) = mult(X_48,i(rd(A,X_49))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_48,mult(X_49,i(A))),mult(X_48,mult(X_49,i(A)))) ),[1,1],$fot(i(rd(A,X_49)))]]) ).

cnf(refute_0_292,plain,
    ( mult(X_49,i(A)) != i(rd(A,X_49))
    | mult(X_48,mult(X_49,i(A))) = mult(X_48,i(rd(A,X_49))) ),
    inference(resolve,[$cnf( $equal(mult(X_48,mult(X_49,i(A))),mult(X_48,mult(X_49,i(A)))) )],[refute_0_290,refute_0_291]) ).

cnf(refute_0_293,plain,
    mult(X_48,mult(X_49,i(A))) = mult(X_48,i(rd(A,X_49))),
    inference(resolve,[$cnf( $equal(mult(X_49,i(A)),i(rd(A,X_49))) )],[refute_0_289,refute_0_292]) ).

cnf(refute_0_294,plain,
    ( mult(X_48,i(rd(A,X_49))) != i(rd(rd(A,X_49),X_48))
    | mult(X_48,mult(X_49,i(A))) != mult(X_48,i(rd(A,X_49)))
    | mult(X_48,mult(X_49,i(A))) = i(rd(rd(A,X_49),X_48)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(X_48,mult(X_49,i(A))))),bind(Y,$fot(mult(X_48,i(rd(A,X_49))))),bind(Z,$fot(i(rd(rd(A,X_49),X_48))))]]) ).

cnf(refute_0_295,plain,
    ( mult(X_48,i(rd(A,X_49))) != i(rd(rd(A,X_49),X_48))
    | mult(X_48,mult(X_49,i(A))) = i(rd(rd(A,X_49),X_48)) ),
    inference(resolve,[$cnf( $equal(mult(X_48,mult(X_49,i(A))),mult(X_48,i(rd(A,X_49)))) )],[refute_0_293,refute_0_294]) ).

cnf(refute_0_296,plain,
    mult(X_48,mult(X_49,i(A))) = i(rd(rd(A,X_49),X_48)),
    inference(resolve,[$cnf( $equal(mult(X_48,i(rd(A,X_49))),i(rd(rd(A,X_49),X_48))) )],[refute_0_288,refute_0_295]) ).

cnf(refute_0_297,plain,
    i(mult(X_48,mult(X_49,i(A)))) = i(mult(X_48,mult(X_49,i(A)))),
    introduced(tautology,[refl,[$fot(i(mult(X_48,mult(X_49,i(A)))))]]) ).

cnf(refute_0_298,plain,
    ( i(mult(X_48,mult(X_49,i(A)))) != i(mult(X_48,mult(X_49,i(A))))
    | mult(X_48,mult(X_49,i(A))) != i(rd(rd(A,X_49),X_48))
    | i(mult(X_48,mult(X_49,i(A)))) = i(i(rd(rd(A,X_49),X_48))) ),
    introduced(tautology,[equality,[$cnf( $equal(i(mult(X_48,mult(X_49,i(A)))),i(mult(X_48,mult(X_49,i(A))))) ),[1,0],$fot(i(rd(rd(A,X_49),X_48)))]]) ).

cnf(refute_0_299,plain,
    ( mult(X_48,mult(X_49,i(A))) != i(rd(rd(A,X_49),X_48))
    | i(mult(X_48,mult(X_49,i(A)))) = i(i(rd(rd(A,X_49),X_48))) ),
    inference(resolve,[$cnf( $equal(i(mult(X_48,mult(X_49,i(A)))),i(mult(X_48,mult(X_49,i(A))))) )],[refute_0_297,refute_0_298]) ).

cnf(refute_0_300,plain,
    i(mult(X_48,mult(X_49,i(A)))) = i(i(rd(rd(A,X_49),X_48))),
    inference(resolve,[$cnf( $equal(mult(X_48,mult(X_49,i(A))),i(rd(rd(A,X_49),X_48))) )],[refute_0_296,refute_0_299]) ).

cnf(refute_0_301,plain,
    ( i(i(rd(rd(A,X_49),X_48))) != rd(rd(A,X_49),X_48)
    | i(mult(X_48,mult(X_49,i(A)))) != i(i(rd(rd(A,X_49),X_48)))
    | i(mult(X_48,mult(X_49,i(A)))) = rd(rd(A,X_49),X_48) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(i(mult(X_48,mult(X_49,i(A)))))),bind(Y,$fot(i(i(rd(rd(A,X_49),X_48))))),bind(Z,$fot(rd(rd(A,X_49),X_48)))]]) ).

cnf(refute_0_302,plain,
    ( i(i(rd(rd(A,X_49),X_48))) != rd(rd(A,X_49),X_48)
    | i(mult(X_48,mult(X_49,i(A)))) = rd(rd(A,X_49),X_48) ),
    inference(resolve,[$cnf( $equal(i(mult(X_48,mult(X_49,i(A)))),i(i(rd(rd(A,X_49),X_48)))) )],[refute_0_300,refute_0_301]) ).

cnf(refute_0_303,plain,
    i(mult(X_48,mult(X_49,i(A)))) = rd(rd(A,X_49),X_48),
    inference(resolve,[$cnf( $equal(i(i(rd(rd(A,X_49),X_48))),rd(rd(A,X_49),X_48)) )],[refute_0_287,refute_0_302]) ).

cnf(refute_0_304,plain,
    ld(i(mult(X_48,mult(X_49,i(A)))),rd(A,X_48)) = ld(i(mult(X_48,mult(X_49,i(A)))),rd(A,X_48)),
    introduced(tautology,[refl,[$fot(ld(i(mult(X_48,mult(X_49,i(A)))),rd(A,X_48)))]]) ).

cnf(refute_0_305,plain,
    ( i(mult(X_48,mult(X_49,i(A)))) != rd(rd(A,X_49),X_48)
    | ld(i(mult(X_48,mult(X_49,i(A)))),rd(A,X_48)) != ld(i(mult(X_48,mult(X_49,i(A)))),rd(A,X_48))
    | ld(i(mult(X_48,mult(X_49,i(A)))),rd(A,X_48)) = ld(rd(rd(A,X_49),X_48),rd(A,X_48)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(i(mult(X_48,mult(X_49,i(A)))),rd(A,X_48)),ld(i(mult(X_48,mult(X_49,i(A)))),rd(A,X_48))) ),[1,0],$fot(rd(rd(A,X_49),X_48))]]) ).

cnf(refute_0_306,plain,
    ( i(mult(X_48,mult(X_49,i(A)))) != rd(rd(A,X_49),X_48)
    | ld(i(mult(X_48,mult(X_49,i(A)))),rd(A,X_48)) = ld(rd(rd(A,X_49),X_48),rd(A,X_48)) ),
    inference(resolve,[$cnf( $equal(ld(i(mult(X_48,mult(X_49,i(A)))),rd(A,X_48)),ld(i(mult(X_48,mult(X_49,i(A)))),rd(A,X_48))) )],[refute_0_304,refute_0_305]) ).

cnf(refute_0_307,plain,
    ld(i(mult(X_48,mult(X_49,i(A)))),rd(A,X_48)) = ld(rd(rd(A,X_49),X_48),rd(A,X_48)),
    inference(resolve,[$cnf( $equal(i(mult(X_48,mult(X_49,i(A)))),rd(rd(A,X_49),X_48)) )],[refute_0_303,refute_0_306]) ).

cnf(refute_0_308,plain,
    rd(X_19,ld(ld(i(X_19),X_39),X_19)) = ld(i(X_19),X_39),
    inference(subst,[],[refute_0_81:[bind(A,$fot(ld(i(X_19),X_39)))]]) ).

cnf(refute_0_309,plain,
    i(X_39) = ld(ld(i(X_19),X_39),X_19),
    inference(subst,[],[refute_0_205:[bind(X_37,$fot(X_39)),bind(X_38,$fot(X_19))]]) ).

cnf(refute_0_310,plain,
    ( i(X_39) != ld(ld(i(X_19),X_39),X_19)
    | ld(ld(i(X_19),X_39),X_19) = i(X_39) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(i(X_39))),bind(Y,$fot(ld(ld(i(X_19),X_39),X_19)))]]) ).

cnf(refute_0_311,plain,
    ld(ld(i(X_19),X_39),X_19) = i(X_39),
    inference(resolve,[$cnf( $equal(i(X_39),ld(ld(i(X_19),X_39),X_19)) )],[refute_0_309,refute_0_310]) ).

cnf(refute_0_312,plain,
    ( ld(ld(i(X_19),X_39),X_19) != i(X_39)
    | rd(X_19,ld(ld(i(X_19),X_39),X_19)) != ld(i(X_19),X_39)
    | rd(X_19,i(X_39)) = ld(i(X_19),X_39) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(X_19,ld(ld(i(X_19),X_39),X_19)),ld(i(X_19),X_39)) ),[0,1],$fot(i(X_39))]]) ).

cnf(refute_0_313,plain,
    ( rd(X_19,ld(ld(i(X_19),X_39),X_19)) != ld(i(X_19),X_39)
    | rd(X_19,i(X_39)) = ld(i(X_19),X_39) ),
    inference(resolve,[$cnf( $equal(ld(ld(i(X_19),X_39),X_19),i(X_39)) )],[refute_0_311,refute_0_312]) ).

cnf(refute_0_314,plain,
    rd(X_19,i(X_39)) = ld(i(X_19),X_39),
    inference(resolve,[$cnf( $equal(rd(X_19,ld(ld(i(X_19),X_39),X_19)),ld(i(X_19),X_39)) )],[refute_0_308,refute_0_313]) ).

cnf(refute_0_315,plain,
    rd(mult(X_48,mult(X_49,i(A))),i(rd(A,X_48))) = ld(i(mult(X_48,mult(X_49,i(A)))),rd(A,X_48)),
    inference(subst,[],[refute_0_314:[bind(X_19,$fot(mult(X_48,mult(X_49,i(A))))),bind(X_39,$fot(rd(A,X_48)))]]) ).

cnf(refute_0_316,plain,
    ( ld(i(mult(X_48,mult(X_49,i(A)))),rd(A,X_48)) != ld(rd(rd(A,X_49),X_48),rd(A,X_48))
    | rd(mult(X_48,mult(X_49,i(A))),i(rd(A,X_48))) != ld(i(mult(X_48,mult(X_49,i(A)))),rd(A,X_48))
    | rd(mult(X_48,mult(X_49,i(A))),i(rd(A,X_48))) = ld(rd(rd(A,X_49),X_48),rd(A,X_48)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(rd(mult(X_48,mult(X_49,i(A))),i(rd(A,X_48))))),bind(Y,$fot(ld(i(mult(X_48,mult(X_49,i(A)))),rd(A,X_48)))),bind(Z,$fot(ld(rd(rd(A,X_49),X_48),rd(A,X_48))))]]) ).

cnf(refute_0_317,plain,
    ( ld(i(mult(X_48,mult(X_49,i(A)))),rd(A,X_48)) != ld(rd(rd(A,X_49),X_48),rd(A,X_48))
    | rd(mult(X_48,mult(X_49,i(A))),i(rd(A,X_48))) = ld(rd(rd(A,X_49),X_48),rd(A,X_48)) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_48,mult(X_49,i(A))),i(rd(A,X_48))),ld(i(mult(X_48,mult(X_49,i(A)))),rd(A,X_48))) )],[refute_0_315,refute_0_316]) ).

cnf(refute_0_318,plain,
    rd(mult(X_48,mult(X_49,i(A))),i(rd(A,X_48))) = ld(rd(rd(A,X_49),X_48),rd(A,X_48)),
    inference(resolve,[$cnf( $equal(ld(i(mult(X_48,mult(X_49,i(A)))),rd(A,X_48)),ld(rd(rd(A,X_49),X_48),rd(A,X_48))) )],[refute_0_307,refute_0_317]) ).

cnf(refute_0_319,plain,
    ( rd(mult(X_48,mult(X_49,i(A))),i(rd(A,X_48))) != ld(rd(rd(A,X_49),X_48),rd(A,X_48))
    | rd(mult(X_48,mult(X_49,i(A))),i(rd(A,X_48))) != rd(mult(X_48,X_49),X_48)
    | ld(rd(rd(A,X_49),X_48),rd(A,X_48)) = rd(mult(X_48,X_49),X_48) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_48,mult(X_49,i(A))),i(rd(A,X_48))),rd(mult(X_48,X_49),X_48)) ),[0],$fot(ld(rd(rd(A,X_49),X_48),rd(A,X_48)))]]) ).

cnf(refute_0_320,plain,
    ( rd(mult(X_48,mult(X_49,i(A))),i(rd(A,X_48))) != rd(mult(X_48,X_49),X_48)
    | ld(rd(rd(A,X_49),X_48),rd(A,X_48)) = rd(mult(X_48,X_49),X_48) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_48,mult(X_49,i(A))),i(rd(A,X_48))),ld(rd(rd(A,X_49),X_48),rd(A,X_48))) )],[refute_0_318,refute_0_319]) ).

cnf(refute_0_321,plain,
    ld(rd(rd(A,X_49),X_48),rd(A,X_48)) = rd(mult(X_48,X_49),X_48),
    inference(resolve,[$cnf( $equal(rd(mult(X_48,mult(X_49,i(A))),i(rd(A,X_48))),rd(mult(X_48,X_49),X_48)) )],[refute_0_286,refute_0_320]) ).

cnf(refute_0_322,plain,
    ld(rd(rd(X_101,X_101),X_100),rd(X_101,X_100)) = rd(mult(X_100,X_101),X_100),
    inference(subst,[],[refute_0_321:[bind(A,$fot(X_101)),bind(X_48,$fot(X_100)),bind(X_49,$fot(X_101))]]) ).

cnf(refute_0_323,plain,
    rd(mult(unit,X_5),X_5) = unit,
    inference(subst,[],[c04:[bind(A,$fot(unit)),bind(B,$fot(X_5))]]) ).

cnf(refute_0_324,plain,
    mult(unit,X_5) = X_5,
    inference(subst,[],[c06:[bind(A,$fot(X_5))]]) ).

cnf(refute_0_325,plain,
    ( mult(unit,X_5) != X_5
    | rd(mult(unit,X_5),X_5) != unit
    | rd(X_5,X_5) = unit ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(unit,X_5),X_5),unit) ),[0,0],$fot(X_5)]]) ).

cnf(refute_0_326,plain,
    ( rd(mult(unit,X_5),X_5) != unit
    | rd(X_5,X_5) = unit ),
    inference(resolve,[$cnf( $equal(mult(unit,X_5),X_5) )],[refute_0_324,refute_0_325]) ).

cnf(refute_0_327,plain,
    rd(X_5,X_5) = unit,
    inference(resolve,[$cnf( $equal(rd(mult(unit,X_5),X_5),unit) )],[refute_0_323,refute_0_326]) ).

cnf(refute_0_328,plain,
    rd(X_101,X_101) = unit,
    inference(subst,[],[refute_0_327:[bind(X_5,$fot(X_101))]]) ).

cnf(refute_0_329,plain,
    ( ld(rd(rd(X_101,X_101),X_100),rd(X_101,X_100)) != rd(mult(X_100,X_101),X_100)
    | rd(X_101,X_101) != unit
    | ld(rd(unit,X_100),rd(X_101,X_100)) = rd(mult(X_100,X_101),X_100) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(rd(rd(X_101,X_101),X_100),rd(X_101,X_100)),rd(mult(X_100,X_101),X_100)) ),[0,0,0],$fot(unit)]]) ).

cnf(refute_0_330,plain,
    ( ld(rd(rd(X_101,X_101),X_100),rd(X_101,X_100)) != rd(mult(X_100,X_101),X_100)
    | ld(rd(unit,X_100),rd(X_101,X_100)) = rd(mult(X_100,X_101),X_100) ),
    inference(resolve,[$cnf( $equal(rd(X_101,X_101),unit) )],[refute_0_328,refute_0_329]) ).

cnf(refute_0_331,plain,
    ld(rd(unit,X_100),rd(X_101,X_100)) = rd(mult(X_100,X_101),X_100),
    inference(resolve,[$cnf( $equal(ld(rd(rd(X_101,X_101),X_100),rd(X_101,X_100)),rd(mult(X_100,X_101),X_100)) )],[refute_0_322,refute_0_330]) ).

cnf(refute_0_332,plain,
    rd(unit,X_100) = i(X_100),
    inference(subst,[],[refute_0_38:[bind(X_5,$fot(X_100))]]) ).

cnf(refute_0_333,plain,
    ld(rd(unit,X_100),rd(X_101,X_100)) = ld(rd(unit,X_100),rd(X_101,X_100)),
    introduced(tautology,[refl,[$fot(ld(rd(unit,X_100),rd(X_101,X_100)))]]) ).

cnf(refute_0_334,plain,
    ( ld(rd(unit,X_100),rd(X_101,X_100)) != ld(rd(unit,X_100),rd(X_101,X_100))
    | rd(unit,X_100) != i(X_100)
    | ld(rd(unit,X_100),rd(X_101,X_100)) = ld(i(X_100),rd(X_101,X_100)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(rd(unit,X_100),rd(X_101,X_100)),ld(rd(unit,X_100),rd(X_101,X_100))) ),[1,0],$fot(i(X_100))]]) ).

cnf(refute_0_335,plain,
    ( rd(unit,X_100) != i(X_100)
    | ld(rd(unit,X_100),rd(X_101,X_100)) = ld(i(X_100),rd(X_101,X_100)) ),
    inference(resolve,[$cnf( $equal(ld(rd(unit,X_100),rd(X_101,X_100)),ld(rd(unit,X_100),rd(X_101,X_100))) )],[refute_0_333,refute_0_334]) ).

cnf(refute_0_336,plain,
    ld(rd(unit,X_100),rd(X_101,X_100)) = ld(i(X_100),rd(X_101,X_100)),
    inference(resolve,[$cnf( $equal(rd(unit,X_100),i(X_100)) )],[refute_0_332,refute_0_335]) ).

cnf(refute_0_337,plain,
    ( ld(rd(unit,X_100),rd(X_101,X_100)) != ld(i(X_100),rd(X_101,X_100))
    | ld(rd(unit,X_100),rd(X_101,X_100)) != rd(mult(X_100,X_101),X_100)
    | ld(i(X_100),rd(X_101,X_100)) = rd(mult(X_100,X_101),X_100) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(rd(unit,X_100),rd(X_101,X_100)),rd(mult(X_100,X_101),X_100)) ),[0],$fot(ld(i(X_100),rd(X_101,X_100)))]]) ).

cnf(refute_0_338,plain,
    ( ld(rd(unit,X_100),rd(X_101,X_100)) != rd(mult(X_100,X_101),X_100)
    | ld(i(X_100),rd(X_101,X_100)) = rd(mult(X_100,X_101),X_100) ),
    inference(resolve,[$cnf( $equal(ld(rd(unit,X_100),rd(X_101,X_100)),ld(i(X_100),rd(X_101,X_100))) )],[refute_0_336,refute_0_337]) ).

cnf(refute_0_339,plain,
    ld(i(X_100),rd(X_101,X_100)) = rd(mult(X_100,X_101),X_100),
    inference(resolve,[$cnf( $equal(ld(rd(unit,X_100),rd(X_101,X_100)),rd(mult(X_100,X_101),X_100)) )],[refute_0_331,refute_0_338]) ).

cnf(refute_0_340,plain,
    ld(i(X_38),rd(X_103,X_38)) = rd(mult(X_38,X_103),X_38),
    inference(subst,[],[refute_0_339:[bind(X_100,$fot(X_38)),bind(X_101,$fot(X_103))]]) ).

cnf(refute_0_341,plain,
    ( i(rd(X_103,X_38)) != ld(ld(i(X_38),rd(X_103,X_38)),X_38)
    | ld(i(X_38),rd(X_103,X_38)) != rd(mult(X_38,X_103),X_38)
    | i(rd(X_103,X_38)) = ld(rd(mult(X_38,X_103),X_38),X_38) ),
    introduced(tautology,[equality,[$cnf( $equal(i(rd(X_103,X_38)),ld(ld(i(X_38),rd(X_103,X_38)),X_38)) ),[1,0],$fot(rd(mult(X_38,X_103),X_38))]]) ).

cnf(refute_0_342,plain,
    ( i(rd(X_103,X_38)) != ld(ld(i(X_38),rd(X_103,X_38)),X_38)
    | i(rd(X_103,X_38)) = ld(rd(mult(X_38,X_103),X_38),X_38) ),
    inference(resolve,[$cnf( $equal(ld(i(X_38),rd(X_103,X_38)),rd(mult(X_38,X_103),X_38)) )],[refute_0_340,refute_0_341]) ).

cnf(refute_0_343,plain,
    i(rd(X_103,X_38)) = ld(rd(mult(X_38,X_103),X_38),X_38),
    inference(resolve,[$cnf( $equal(i(rd(X_103,X_38)),ld(ld(i(X_38),rd(X_103,X_38)),X_38)) )],[refute_0_277,refute_0_342]) ).

cnf(refute_0_344,plain,
    ( i(rd(X_103,X_38)) != ld(rd(mult(X_38,X_103),X_38),X_38)
    | ld(rd(mult(X_38,X_103),X_38),X_38) = i(rd(X_103,X_38)) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(i(rd(X_103,X_38)))),bind(Y,$fot(ld(rd(mult(X_38,X_103),X_38),X_38)))]]) ).

cnf(refute_0_345,plain,
    ld(rd(mult(X_38,X_103),X_38),X_38) = i(rd(X_103,X_38)),
    inference(resolve,[$cnf( $equal(i(rd(X_103,X_38)),ld(rd(mult(X_38,X_103),X_38),X_38)) )],[refute_0_343,refute_0_344]) ).

cnf(refute_0_346,plain,
    ld(rd(mult(X_38,X_86),X_38),X_38) = i(rd(X_86,X_38)),
    inference(subst,[],[refute_0_345:[bind(X_103,$fot(X_86))]]) ).

cnf(refute_0_347,plain,
    ( ld(rd(mult(X_38,X_86),X_38),X_38) != i(rd(X_86,X_38))
    | rd(mult(X_38,X_86),mult(X_86,X_86)) != ld(rd(mult(X_38,X_86),X_38),X_38)
    | rd(mult(X_38,X_86),mult(X_86,X_86)) = i(rd(X_86,X_38)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_38,X_86),mult(X_86,X_86)),ld(rd(mult(X_38,X_86),X_38),X_38)) ),[1],$fot(i(rd(X_86,X_38)))]]) ).

cnf(refute_0_348,plain,
    ( rd(mult(X_38,X_86),mult(X_86,X_86)) != ld(rd(mult(X_38,X_86),X_38),X_38)
    | rd(mult(X_38,X_86),mult(X_86,X_86)) = i(rd(X_86,X_38)) ),
    inference(resolve,[$cnf( $equal(ld(rd(mult(X_38,X_86),X_38),X_38),i(rd(X_86,X_38))) )],[refute_0_346,refute_0_347]) ).

cnf(refute_0_349,plain,
    rd(mult(X_38,X_86),mult(X_86,X_86)) = i(rd(X_86,X_38)),
    inference(resolve,[$cnf( $equal(rd(mult(X_38,X_86),mult(X_86,X_86)),ld(rd(mult(X_38,X_86),X_38),X_38)) )],[refute_0_276,refute_0_348]) ).

cnf(refute_0_350,plain,
    rd(mult(mult(X_69,X_69),X_69),mult(X_69,X_69)) = i(rd(X_69,mult(X_69,X_69))),
    inference(subst,[],[refute_0_349:[bind(X_38,$fot(mult(X_69,X_69))),bind(X_86,$fot(X_69))]]) ).

cnf(refute_0_351,plain,
    ( ld(rd(mult(mult(X_69,X_69),X_69),mult(X_69,X_69)),mult(mult(X_69,X_69),B)) != mult(mult(X_69,X_69),ld(X_69,B))
    | rd(mult(mult(X_69,X_69),X_69),mult(X_69,X_69)) != i(rd(X_69,mult(X_69,X_69)))
    | ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)) = mult(mult(X_69,X_69),ld(X_69,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(rd(mult(mult(X_69,X_69),X_69),mult(X_69,X_69)),mult(mult(X_69,X_69),B)),mult(mult(X_69,X_69),ld(X_69,B))) ),[0,0],$fot(i(rd(X_69,mult(X_69,X_69))))]]) ).

cnf(refute_0_352,plain,
    ( ld(rd(mult(mult(X_69,X_69),X_69),mult(X_69,X_69)),mult(mult(X_69,X_69),B)) != mult(mult(X_69,X_69),ld(X_69,B))
    | ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)) = mult(mult(X_69,X_69),ld(X_69,B)) ),
    inference(resolve,[$cnf( $equal(rd(mult(mult(X_69,X_69),X_69),mult(X_69,X_69)),i(rd(X_69,mult(X_69,X_69)))) )],[refute_0_350,refute_0_351]) ).

cnf(refute_0_353,plain,
    ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)) = mult(mult(X_69,X_69),ld(X_69,B)),
    inference(resolve,[$cnf( $equal(ld(rd(mult(mult(X_69,X_69),X_69),mult(X_69,X_69)),mult(mult(X_69,X_69),B)),mult(mult(X_69,X_69),ld(X_69,B))) )],[refute_0_195,refute_0_352]) ).

cnf(refute_0_354,plain,
    i(i(rd(X_93,mult(X_92,X_93)))) = rd(X_93,mult(X_92,X_93)),
    inference(subst,[],[refute_0_52:[bind(X_4,$fot(rd(X_93,mult(X_92,X_93))))]]) ).

cnf(refute_0_355,plain,
    mult(mult(X_90,rd(unit,X_91)),X_91) = mult(mult(X_90,X_91),ld(X_91,unit)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(unit)),bind(X_51,$fot(X_90)),bind(X_53,$fot(X_91))]]) ).

cnf(refute_0_356,plain,
    rd(unit,X_91) = i(X_91),
    inference(subst,[],[refute_0_38:[bind(X_5,$fot(X_91))]]) ).

cnf(refute_0_357,plain,
    ( mult(mult(X_90,rd(unit,X_91)),X_91) != mult(mult(X_90,X_91),ld(X_91,unit))
    | rd(unit,X_91) != i(X_91)
    | mult(mult(X_90,i(X_91)),X_91) = mult(mult(X_90,X_91),ld(X_91,unit)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_90,rd(unit,X_91)),X_91),mult(mult(X_90,X_91),ld(X_91,unit))) ),[0,0,1],$fot(i(X_91))]]) ).

cnf(refute_0_358,plain,
    ( mult(mult(X_90,rd(unit,X_91)),X_91) != mult(mult(X_90,X_91),ld(X_91,unit))
    | mult(mult(X_90,i(X_91)),X_91) = mult(mult(X_90,X_91),ld(X_91,unit)) ),
    inference(resolve,[$cnf( $equal(rd(unit,X_91),i(X_91)) )],[refute_0_356,refute_0_357]) ).

cnf(refute_0_359,plain,
    mult(mult(X_90,i(X_91)),X_91) = mult(mult(X_90,X_91),ld(X_91,unit)),
    inference(resolve,[$cnf( $equal(mult(mult(X_90,rd(unit,X_91)),X_91),mult(mult(X_90,X_91),ld(X_91,unit))) )],[refute_0_355,refute_0_358]) ).

cnf(refute_0_360,plain,
    mult(i(rd(X_91,X_90)),X_91) = i(ld(X_91,rd(X_91,X_90))),
    inference(subst,[],[refute_0_109:[bind(X_13,$fot(X_91)),bind(X_19,$fot(rd(X_91,X_90)))]]) ).

cnf(refute_0_361,plain,
    mult(X_90,i(X_91)) = i(rd(X_91,X_90)),
    inference(subst,[],[refute_0_25:[bind(A,$fot(X_91)),bind(X_12,$fot(X_90))]]) ).

cnf(refute_0_362,plain,
    mult(mult(X_90,i(X_91)),X_91) = mult(mult(X_90,i(X_91)),X_91),
    introduced(tautology,[refl,[$fot(mult(mult(X_90,i(X_91)),X_91))]]) ).

cnf(refute_0_363,plain,
    ( mult(X_90,i(X_91)) != i(rd(X_91,X_90))
    | mult(mult(X_90,i(X_91)),X_91) != mult(mult(X_90,i(X_91)),X_91)
    | mult(mult(X_90,i(X_91)),X_91) = mult(i(rd(X_91,X_90)),X_91) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_90,i(X_91)),X_91),mult(mult(X_90,i(X_91)),X_91)) ),[1,0],$fot(i(rd(X_91,X_90)))]]) ).

cnf(refute_0_364,plain,
    ( mult(X_90,i(X_91)) != i(rd(X_91,X_90))
    | mult(mult(X_90,i(X_91)),X_91) = mult(i(rd(X_91,X_90)),X_91) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_90,i(X_91)),X_91),mult(mult(X_90,i(X_91)),X_91)) )],[refute_0_362,refute_0_363]) ).

cnf(refute_0_365,plain,
    mult(mult(X_90,i(X_91)),X_91) = mult(i(rd(X_91,X_90)),X_91),
    inference(resolve,[$cnf( $equal(mult(X_90,i(X_91)),i(rd(X_91,X_90))) )],[refute_0_361,refute_0_364]) ).

cnf(refute_0_366,plain,
    ( mult(i(rd(X_91,X_90)),X_91) != i(ld(X_91,rd(X_91,X_90)))
    | mult(mult(X_90,i(X_91)),X_91) != mult(i(rd(X_91,X_90)),X_91)
    | mult(mult(X_90,i(X_91)),X_91) = i(ld(X_91,rd(X_91,X_90))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(mult(X_90,i(X_91)),X_91))),bind(Y,$fot(mult(i(rd(X_91,X_90)),X_91))),bind(Z,$fot(i(ld(X_91,rd(X_91,X_90)))))]]) ).

cnf(refute_0_367,plain,
    ( mult(i(rd(X_91,X_90)),X_91) != i(ld(X_91,rd(X_91,X_90)))
    | mult(mult(X_90,i(X_91)),X_91) = i(ld(X_91,rd(X_91,X_90))) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_90,i(X_91)),X_91),mult(i(rd(X_91,X_90)),X_91)) )],[refute_0_365,refute_0_366]) ).

cnf(refute_0_368,plain,
    mult(mult(X_90,i(X_91)),X_91) = i(ld(X_91,rd(X_91,X_90))),
    inference(resolve,[$cnf( $equal(mult(i(rd(X_91,X_90)),X_91),i(ld(X_91,rd(X_91,X_90)))) )],[refute_0_360,refute_0_367]) ).

cnf(refute_0_369,plain,
    ( mult(mult(X_90,i(X_91)),X_91) != i(ld(X_91,rd(X_91,X_90)))
    | mult(mult(X_90,i(X_91)),X_91) != mult(mult(X_90,X_91),ld(X_91,unit))
    | i(ld(X_91,rd(X_91,X_90))) = mult(mult(X_90,X_91),ld(X_91,unit)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_90,i(X_91)),X_91),mult(mult(X_90,X_91),ld(X_91,unit))) ),[0],$fot(i(ld(X_91,rd(X_91,X_90))))]]) ).

cnf(refute_0_370,plain,
    ( mult(mult(X_90,i(X_91)),X_91) != mult(mult(X_90,X_91),ld(X_91,unit))
    | i(ld(X_91,rd(X_91,X_90))) = mult(mult(X_90,X_91),ld(X_91,unit)) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_90,i(X_91)),X_91),i(ld(X_91,rd(X_91,X_90)))) )],[refute_0_368,refute_0_369]) ).

cnf(refute_0_371,plain,
    mult(mult(X_90,X_91),i(X_91)) = i(rd(X_91,mult(X_90,X_91))),
    inference(subst,[],[refute_0_25:[bind(A,$fot(X_91)),bind(X_12,$fot(mult(X_90,X_91)))]]) ).

cnf(refute_0_372,plain,
    ld(X_91,unit) = i(X_91),
    inference(subst,[],[refute_0_55:[bind(X_4,$fot(X_91))]]) ).

cnf(refute_0_373,plain,
    mult(mult(X_90,X_91),ld(X_91,unit)) = mult(mult(X_90,X_91),ld(X_91,unit)),
    introduced(tautology,[refl,[$fot(mult(mult(X_90,X_91),ld(X_91,unit)))]]) ).

cnf(refute_0_374,plain,
    ( ld(X_91,unit) != i(X_91)
    | mult(mult(X_90,X_91),ld(X_91,unit)) != mult(mult(X_90,X_91),ld(X_91,unit))
    | mult(mult(X_90,X_91),ld(X_91,unit)) = mult(mult(X_90,X_91),i(X_91)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_90,X_91),ld(X_91,unit)),mult(mult(X_90,X_91),ld(X_91,unit))) ),[1,1],$fot(i(X_91))]]) ).

cnf(refute_0_375,plain,
    ( ld(X_91,unit) != i(X_91)
    | mult(mult(X_90,X_91),ld(X_91,unit)) = mult(mult(X_90,X_91),i(X_91)) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_90,X_91),ld(X_91,unit)),mult(mult(X_90,X_91),ld(X_91,unit))) )],[refute_0_373,refute_0_374]) ).

cnf(refute_0_376,plain,
    mult(mult(X_90,X_91),ld(X_91,unit)) = mult(mult(X_90,X_91),i(X_91)),
    inference(resolve,[$cnf( $equal(ld(X_91,unit),i(X_91)) )],[refute_0_372,refute_0_375]) ).

cnf(refute_0_377,plain,
    ( mult(mult(X_90,X_91),i(X_91)) != i(rd(X_91,mult(X_90,X_91)))
    | mult(mult(X_90,X_91),ld(X_91,unit)) != mult(mult(X_90,X_91),i(X_91))
    | mult(mult(X_90,X_91),ld(X_91,unit)) = i(rd(X_91,mult(X_90,X_91))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(mult(X_90,X_91),ld(X_91,unit)))),bind(Y,$fot(mult(mult(X_90,X_91),i(X_91)))),bind(Z,$fot(i(rd(X_91,mult(X_90,X_91)))))]]) ).

cnf(refute_0_378,plain,
    ( mult(mult(X_90,X_91),i(X_91)) != i(rd(X_91,mult(X_90,X_91)))
    | mult(mult(X_90,X_91),ld(X_91,unit)) = i(rd(X_91,mult(X_90,X_91))) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_90,X_91),ld(X_91,unit)),mult(mult(X_90,X_91),i(X_91))) )],[refute_0_376,refute_0_377]) ).

cnf(refute_0_379,plain,
    mult(mult(X_90,X_91),ld(X_91,unit)) = i(rd(X_91,mult(X_90,X_91))),
    inference(resolve,[$cnf( $equal(mult(mult(X_90,X_91),i(X_91)),i(rd(X_91,mult(X_90,X_91)))) )],[refute_0_371,refute_0_378]) ).

cnf(refute_0_380,plain,
    ( i(ld(X_91,rd(X_91,X_90))) != mult(mult(X_90,X_91),ld(X_91,unit))
    | mult(mult(X_90,X_91),ld(X_91,unit)) != i(rd(X_91,mult(X_90,X_91)))
    | i(ld(X_91,rd(X_91,X_90))) = i(rd(X_91,mult(X_90,X_91))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(i(ld(X_91,rd(X_91,X_90))),i(rd(X_91,mult(X_90,X_91)))) ),[0],$fot(mult(mult(X_90,X_91),ld(X_91,unit)))]]) ).

cnf(refute_0_381,plain,
    ( i(ld(X_91,rd(X_91,X_90))) != mult(mult(X_90,X_91),ld(X_91,unit))
    | i(ld(X_91,rd(X_91,X_90))) = i(rd(X_91,mult(X_90,X_91))) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_90,X_91),ld(X_91,unit)),i(rd(X_91,mult(X_90,X_91)))) )],[refute_0_379,refute_0_380]) ).

cnf(refute_0_382,plain,
    ( mult(mult(X_90,i(X_91)),X_91) != mult(mult(X_90,X_91),ld(X_91,unit))
    | i(ld(X_91,rd(X_91,X_90))) = i(rd(X_91,mult(X_90,X_91))) ),
    inference(resolve,[$cnf( $equal(i(ld(X_91,rd(X_91,X_90))),mult(mult(X_90,X_91),ld(X_91,unit))) )],[refute_0_370,refute_0_381]) ).

cnf(refute_0_383,plain,
    i(ld(X_91,rd(X_91,X_90))) = i(rd(X_91,mult(X_90,X_91))),
    inference(resolve,[$cnf( $equal(mult(mult(X_90,i(X_91)),X_91),mult(mult(X_90,X_91),ld(X_91,unit))) )],[refute_0_359,refute_0_382]) ).

cnf(refute_0_384,plain,
    i(ld(X_93,rd(X_93,X_92))) = i(rd(X_93,mult(X_92,X_93))),
    inference(subst,[],[refute_0_383:[bind(X_90,$fot(X_92)),bind(X_91,$fot(X_93))]]) ).

cnf(refute_0_385,plain,
    ( i(ld(X_93,rd(X_93,X_92))) != i(rd(X_93,mult(X_92,X_93)))
    | i(rd(X_93,mult(X_92,X_93))) = i(ld(X_93,rd(X_93,X_92))) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(i(ld(X_93,rd(X_93,X_92))))),bind(Y,$fot(i(rd(X_93,mult(X_92,X_93)))))]]) ).

cnf(refute_0_386,plain,
    i(rd(X_93,mult(X_92,X_93))) = i(ld(X_93,rd(X_93,X_92))),
    inference(resolve,[$cnf( $equal(i(ld(X_93,rd(X_93,X_92))),i(rd(X_93,mult(X_92,X_93)))) )],[refute_0_384,refute_0_385]) ).

cnf(refute_0_387,plain,
    ( i(i(rd(X_93,mult(X_92,X_93)))) != rd(X_93,mult(X_92,X_93))
    | i(rd(X_93,mult(X_92,X_93))) != i(ld(X_93,rd(X_93,X_92)))
    | i(i(ld(X_93,rd(X_93,X_92)))) = rd(X_93,mult(X_92,X_93)) ),
    introduced(tautology,[equality,[$cnf( $equal(i(i(rd(X_93,mult(X_92,X_93)))),rd(X_93,mult(X_92,X_93))) ),[0,0],$fot(i(ld(X_93,rd(X_93,X_92))))]]) ).

cnf(refute_0_388,plain,
    ( i(i(rd(X_93,mult(X_92,X_93)))) != rd(X_93,mult(X_92,X_93))
    | i(i(ld(X_93,rd(X_93,X_92)))) = rd(X_93,mult(X_92,X_93)) ),
    inference(resolve,[$cnf( $equal(i(rd(X_93,mult(X_92,X_93))),i(ld(X_93,rd(X_93,X_92)))) )],[refute_0_386,refute_0_387]) ).

cnf(refute_0_389,plain,
    i(i(ld(X_93,rd(X_93,X_92)))) = rd(X_93,mult(X_92,X_93)),
    inference(resolve,[$cnf( $equal(i(i(rd(X_93,mult(X_92,X_93)))),rd(X_93,mult(X_92,X_93))) )],[refute_0_354,refute_0_388]) ).

cnf(refute_0_390,plain,
    i(i(ld(X_93,rd(X_93,X_92)))) = ld(X_93,rd(X_93,X_92)),
    inference(subst,[],[refute_0_52:[bind(X_4,$fot(ld(X_93,rd(X_93,X_92))))]]) ).

cnf(refute_0_391,plain,
    ( i(i(ld(X_93,rd(X_93,X_92)))) != ld(X_93,rd(X_93,X_92))
    | i(i(ld(X_93,rd(X_93,X_92)))) != rd(X_93,mult(X_92,X_93))
    | ld(X_93,rd(X_93,X_92)) = rd(X_93,mult(X_92,X_93)) ),
    introduced(tautology,[equality,[$cnf( $equal(i(i(ld(X_93,rd(X_93,X_92)))),rd(X_93,mult(X_92,X_93))) ),[0],$fot(ld(X_93,rd(X_93,X_92)))]]) ).

cnf(refute_0_392,plain,
    ( i(i(ld(X_93,rd(X_93,X_92)))) != rd(X_93,mult(X_92,X_93))
    | ld(X_93,rd(X_93,X_92)) = rd(X_93,mult(X_92,X_93)) ),
    inference(resolve,[$cnf( $equal(i(i(ld(X_93,rd(X_93,X_92)))),ld(X_93,rd(X_93,X_92))) )],[refute_0_390,refute_0_391]) ).

cnf(refute_0_393,plain,
    ld(X_93,rd(X_93,X_92)) = rd(X_93,mult(X_92,X_93)),
    inference(resolve,[$cnf( $equal(i(i(ld(X_93,rd(X_93,X_92)))),rd(X_93,mult(X_92,X_93))) )],[refute_0_389,refute_0_392]) ).

cnf(refute_0_394,plain,
    ld(X_95,rd(X_95,rd(A,X_95))) = rd(X_95,mult(rd(A,X_95),X_95)),
    inference(subst,[],[refute_0_393:[bind(X_92,$fot(rd(A,X_95))),bind(X_93,$fot(X_95))]]) ).

cnf(refute_0_395,plain,
    mult(rd(A,X_95),X_95) = A,
    inference(subst,[],[c03:[bind(B,$fot(X_95))]]) ).

cnf(refute_0_396,plain,
    ( ld(X_95,rd(X_95,rd(A,X_95))) != rd(X_95,mult(rd(A,X_95),X_95))
    | mult(rd(A,X_95),X_95) != A
    | ld(X_95,rd(X_95,rd(A,X_95))) = rd(X_95,A) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(X_95,rd(X_95,rd(A,X_95))),rd(X_95,mult(rd(A,X_95),X_95))) ),[1,1],$fot(A)]]) ).

cnf(refute_0_397,plain,
    ( ld(X_95,rd(X_95,rd(A,X_95))) != rd(X_95,mult(rd(A,X_95),X_95))
    | ld(X_95,rd(X_95,rd(A,X_95))) = rd(X_95,A) ),
    inference(resolve,[$cnf( $equal(mult(rd(A,X_95),X_95),A) )],[refute_0_395,refute_0_396]) ).

cnf(refute_0_398,plain,
    ld(X_95,rd(X_95,rd(A,X_95))) = rd(X_95,A),
    inference(resolve,[$cnf( $equal(ld(X_95,rd(X_95,rd(A,X_95))),rd(X_95,mult(rd(A,X_95),X_95))) )],[refute_0_394,refute_0_397]) ).

cnf(refute_0_399,plain,
    ld(X_125,rd(X_125,rd(i(X_14),X_125))) = rd(X_125,i(X_14)),
    inference(subst,[],[refute_0_398:[bind(A,$fot(i(X_14))),bind(X_95,$fot(X_125))]]) ).

cnf(refute_0_400,plain,
    rd(mult(i(mult(B,X_14)),B),B) = i(mult(B,X_14)),
    inference(subst,[],[c04:[bind(A,$fot(i(mult(B,X_14))))]]) ).

cnf(refute_0_401,plain,
    mult(i(mult(B,X_14)),B) = i(X_14),
    inference(subst,[],[refute_0_104:[bind(B,$fot(X_14)),bind(X_13,$fot(B))]]) ).

cnf(refute_0_402,plain,
    ( mult(i(mult(B,X_14)),B) != i(X_14)
    | rd(mult(i(mult(B,X_14)),B),B) != i(mult(B,X_14))
    | rd(i(X_14),B) = i(mult(B,X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(i(mult(B,X_14)),B),B),i(mult(B,X_14))) ),[0,0],$fot(i(X_14))]]) ).

cnf(refute_0_403,plain,
    ( rd(mult(i(mult(B,X_14)),B),B) != i(mult(B,X_14))
    | rd(i(X_14),B) = i(mult(B,X_14)) ),
    inference(resolve,[$cnf( $equal(mult(i(mult(B,X_14)),B),i(X_14)) )],[refute_0_401,refute_0_402]) ).

cnf(refute_0_404,plain,
    rd(i(X_14),B) = i(mult(B,X_14)),
    inference(resolve,[$cnf( $equal(rd(mult(i(mult(B,X_14)),B),B),i(mult(B,X_14))) )],[refute_0_400,refute_0_403]) ).

cnf(refute_0_405,plain,
    rd(i(X_14),X_125) = i(mult(X_125,X_14)),
    inference(subst,[],[refute_0_404:[bind(B,$fot(X_125))]]) ).

cnf(refute_0_406,plain,
    ( ld(X_125,rd(X_125,rd(i(X_14),X_125))) != rd(X_125,i(X_14))
    | rd(i(X_14),X_125) != i(mult(X_125,X_14))
    | ld(X_125,rd(X_125,i(mult(X_125,X_14)))) = rd(X_125,i(X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(X_125,rd(X_125,rd(i(X_14),X_125))),rd(X_125,i(X_14))) ),[0,1,1],$fot(i(mult(X_125,X_14)))]]) ).

cnf(refute_0_407,plain,
    ( ld(X_125,rd(X_125,rd(i(X_14),X_125))) != rd(X_125,i(X_14))
    | ld(X_125,rd(X_125,i(mult(X_125,X_14)))) = rd(X_125,i(X_14)) ),
    inference(resolve,[$cnf( $equal(rd(i(X_14),X_125),i(mult(X_125,X_14))) )],[refute_0_405,refute_0_406]) ).

cnf(refute_0_408,plain,
    ld(X_125,rd(X_125,i(mult(X_125,X_14)))) = rd(X_125,i(X_14)),
    inference(resolve,[$cnf( $equal(ld(X_125,rd(X_125,rd(i(X_14),X_125))),rd(X_125,i(X_14))) )],[refute_0_399,refute_0_407]) ).

cnf(refute_0_409,plain,
    rd(X_125,i(mult(X_125,X_14))) = ld(i(X_125),mult(X_125,X_14)),
    inference(subst,[],[refute_0_314:[bind(X_19,$fot(X_125)),bind(X_39,$fot(mult(X_125,X_14)))]]) ).

cnf(refute_0_410,plain,
    ld(X_125,rd(X_125,i(mult(X_125,X_14)))) = ld(X_125,rd(X_125,i(mult(X_125,X_14)))),
    introduced(tautology,[refl,[$fot(ld(X_125,rd(X_125,i(mult(X_125,X_14)))))]]) ).

cnf(refute_0_411,plain,
    ( ld(X_125,rd(X_125,i(mult(X_125,X_14)))) != ld(X_125,rd(X_125,i(mult(X_125,X_14))))
    | rd(X_125,i(mult(X_125,X_14))) != ld(i(X_125),mult(X_125,X_14))
    | ld(X_125,rd(X_125,i(mult(X_125,X_14)))) = ld(X_125,ld(i(X_125),mult(X_125,X_14))) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(X_125,rd(X_125,i(mult(X_125,X_14)))),ld(X_125,rd(X_125,i(mult(X_125,X_14))))) ),[1,1],$fot(ld(i(X_125),mult(X_125,X_14)))]]) ).

cnf(refute_0_412,plain,
    ( rd(X_125,i(mult(X_125,X_14))) != ld(i(X_125),mult(X_125,X_14))
    | ld(X_125,rd(X_125,i(mult(X_125,X_14)))) = ld(X_125,ld(i(X_125),mult(X_125,X_14))) ),
    inference(resolve,[$cnf( $equal(ld(X_125,rd(X_125,i(mult(X_125,X_14)))),ld(X_125,rd(X_125,i(mult(X_125,X_14))))) )],[refute_0_410,refute_0_411]) ).

cnf(refute_0_413,plain,
    ld(X_125,rd(X_125,i(mult(X_125,X_14)))) = ld(X_125,ld(i(X_125),mult(X_125,X_14))),
    inference(resolve,[$cnf( $equal(rd(X_125,i(mult(X_125,X_14))),ld(i(X_125),mult(X_125,X_14))) )],[refute_0_409,refute_0_412]) ).

cnf(refute_0_414,plain,
    ( ld(X_125,rd(X_125,i(mult(X_125,X_14)))) != ld(X_125,ld(i(X_125),mult(X_125,X_14)))
    | ld(X_125,rd(X_125,i(mult(X_125,X_14)))) != rd(X_125,i(X_14))
    | ld(X_125,ld(i(X_125),mult(X_125,X_14))) = rd(X_125,i(X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(X_125,rd(X_125,i(mult(X_125,X_14)))),rd(X_125,i(X_14))) ),[0],$fot(ld(X_125,ld(i(X_125),mult(X_125,X_14))))]]) ).

cnf(refute_0_415,plain,
    ( ld(X_125,rd(X_125,i(mult(X_125,X_14)))) != rd(X_125,i(X_14))
    | ld(X_125,ld(i(X_125),mult(X_125,X_14))) = rd(X_125,i(X_14)) ),
    inference(resolve,[$cnf( $equal(ld(X_125,rd(X_125,i(mult(X_125,X_14)))),ld(X_125,ld(i(X_125),mult(X_125,X_14)))) )],[refute_0_413,refute_0_414]) ).

cnf(refute_0_416,plain,
    rd(X_125,i(X_14)) = ld(i(X_125),X_14),
    inference(subst,[],[refute_0_314:[bind(X_19,$fot(X_125)),bind(X_39,$fot(X_14))]]) ).

cnf(refute_0_417,plain,
    ( ld(X_125,ld(i(X_125),mult(X_125,X_14))) != rd(X_125,i(X_14))
    | rd(X_125,i(X_14)) != ld(i(X_125),X_14)
    | ld(X_125,ld(i(X_125),mult(X_125,X_14))) = ld(i(X_125),X_14) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(ld(X_125,ld(i(X_125),mult(X_125,X_14))),ld(i(X_125),X_14)) ),[0],$fot(rd(X_125,i(X_14)))]]) ).

cnf(refute_0_418,plain,
    ( ld(X_125,ld(i(X_125),mult(X_125,X_14))) != rd(X_125,i(X_14))
    | ld(X_125,ld(i(X_125),mult(X_125,X_14))) = ld(i(X_125),X_14) ),
    inference(resolve,[$cnf( $equal(rd(X_125,i(X_14)),ld(i(X_125),X_14)) )],[refute_0_416,refute_0_417]) ).

cnf(refute_0_419,plain,
    ( ld(X_125,rd(X_125,i(mult(X_125,X_14)))) != rd(X_125,i(X_14))
    | ld(X_125,ld(i(X_125),mult(X_125,X_14))) = ld(i(X_125),X_14) ),
    inference(resolve,[$cnf( $equal(ld(X_125,ld(i(X_125),mult(X_125,X_14))),rd(X_125,i(X_14))) )],[refute_0_415,refute_0_418]) ).

cnf(refute_0_420,plain,
    ld(X_125,ld(i(X_125),mult(X_125,X_14))) = ld(i(X_125),X_14),
    inference(resolve,[$cnf( $equal(ld(X_125,rd(X_125,i(mult(X_125,X_14)))),rd(X_125,i(X_14))) )],[refute_0_408,refute_0_419]) ).

cnf(refute_0_421,plain,
    i(mult(ld(i(i(X_38)),X_64),i(X_38))) = ld(ld(i(X_38),mult(ld(i(i(X_38)),X_64),i(X_38))),X_38),
    inference(subst,[],[refute_0_205:[bind(X_37,$fot(mult(ld(i(i(X_38)),X_64),i(X_38))))]]) ).

cnf(refute_0_422,plain,
    mult(mult(rd(A,X_53),X_52),X_53) = mult(mult(rd(A,X_53),X_53),ld(X_53,mult(X_52,X_53))),
    inference(subst,[],[c09:[bind(A,$fot(rd(A,X_53))),bind(B,$fot(X_52)),bind(C,$fot(X_53))]]) ).

cnf(refute_0_423,plain,
    ( mult(mult(rd(A,X_53),X_52),X_53) != mult(mult(rd(A,X_53),X_53),ld(X_53,mult(X_52,X_53)))
    | mult(rd(A,X_53),X_53) != A
    | mult(mult(rd(A,X_53),X_52),X_53) = mult(A,ld(X_53,mult(X_52,X_53))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(A,X_53),X_52),X_53),mult(mult(rd(A,X_53),X_53),ld(X_53,mult(X_52,X_53)))) ),[1,0],$fot(A)]]) ).

cnf(refute_0_424,plain,
    ( mult(mult(rd(A,X_53),X_52),X_53) != mult(mult(rd(A,X_53),X_53),ld(X_53,mult(X_52,X_53)))
    | mult(mult(rd(A,X_53),X_52),X_53) = mult(A,ld(X_53,mult(X_52,X_53))) ),
    inference(resolve,[$cnf( $equal(mult(rd(A,X_53),X_53),A) )],[refute_0_1,refute_0_423]) ).

cnf(refute_0_425,plain,
    mult(mult(rd(A,X_53),X_52),X_53) = mult(A,ld(X_53,mult(X_52,X_53))),
    inference(resolve,[$cnf( $equal(mult(mult(rd(A,X_53),X_52),X_53),mult(mult(rd(A,X_53),X_53),ld(X_53,mult(X_52,X_53)))) )],[refute_0_422,refute_0_424]) ).

cnf(refute_0_426,plain,
    mult(mult(rd(unit,X_59),X_58),X_59) = mult(unit,ld(X_59,mult(X_58,X_59))),
    inference(subst,[],[refute_0_425:[bind(A,$fot(unit)),bind(X_52,$fot(X_58)),bind(X_53,$fot(X_59))]]) ).

cnf(refute_0_427,plain,
    rd(unit,X_59) = i(X_59),
    inference(subst,[],[refute_0_38:[bind(X_5,$fot(X_59))]]) ).

cnf(refute_0_428,plain,
    ( mult(mult(rd(unit,X_59),X_58),X_59) != mult(unit,ld(X_59,mult(X_58,X_59)))
    | rd(unit,X_59) != i(X_59)
    | mult(mult(i(X_59),X_58),X_59) = mult(unit,ld(X_59,mult(X_58,X_59))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(unit,X_59),X_58),X_59),mult(unit,ld(X_59,mult(X_58,X_59)))) ),[0,0,0],$fot(i(X_59))]]) ).

cnf(refute_0_429,plain,
    ( mult(mult(rd(unit,X_59),X_58),X_59) != mult(unit,ld(X_59,mult(X_58,X_59)))
    | mult(mult(i(X_59),X_58),X_59) = mult(unit,ld(X_59,mult(X_58,X_59))) ),
    inference(resolve,[$cnf( $equal(rd(unit,X_59),i(X_59)) )],[refute_0_427,refute_0_428]) ).

cnf(refute_0_430,plain,
    mult(mult(i(X_59),X_58),X_59) = mult(unit,ld(X_59,mult(X_58,X_59))),
    inference(resolve,[$cnf( $equal(mult(mult(rd(unit,X_59),X_58),X_59),mult(unit,ld(X_59,mult(X_58,X_59)))) )],[refute_0_426,refute_0_429]) ).

cnf(refute_0_431,plain,
    mult(i(ld(X_58,X_59)),X_59) = i(ld(X_59,ld(X_58,X_59))),
    inference(subst,[],[refute_0_109:[bind(X_13,$fot(X_59)),bind(X_19,$fot(ld(X_58,X_59)))]]) ).

cnf(refute_0_432,plain,
    mult(i(X_59),X_58) = i(ld(X_58,X_59)),
    inference(subst,[],[refute_0_109:[bind(X_13,$fot(X_58)),bind(X_19,$fot(X_59))]]) ).

cnf(refute_0_433,plain,
    mult(mult(i(X_59),X_58),X_59) = mult(mult(i(X_59),X_58),X_59),
    introduced(tautology,[refl,[$fot(mult(mult(i(X_59),X_58),X_59))]]) ).

cnf(refute_0_434,plain,
    ( mult(i(X_59),X_58) != i(ld(X_58,X_59))
    | mult(mult(i(X_59),X_58),X_59) != mult(mult(i(X_59),X_58),X_59)
    | mult(mult(i(X_59),X_58),X_59) = mult(i(ld(X_58,X_59)),X_59) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(i(X_59),X_58),X_59),mult(mult(i(X_59),X_58),X_59)) ),[1,0],$fot(i(ld(X_58,X_59)))]]) ).

cnf(refute_0_435,plain,
    ( mult(i(X_59),X_58) != i(ld(X_58,X_59))
    | mult(mult(i(X_59),X_58),X_59) = mult(i(ld(X_58,X_59)),X_59) ),
    inference(resolve,[$cnf( $equal(mult(mult(i(X_59),X_58),X_59),mult(mult(i(X_59),X_58),X_59)) )],[refute_0_433,refute_0_434]) ).

cnf(refute_0_436,plain,
    mult(mult(i(X_59),X_58),X_59) = mult(i(ld(X_58,X_59)),X_59),
    inference(resolve,[$cnf( $equal(mult(i(X_59),X_58),i(ld(X_58,X_59))) )],[refute_0_432,refute_0_435]) ).

cnf(refute_0_437,plain,
    ( mult(i(ld(X_58,X_59)),X_59) != i(ld(X_59,ld(X_58,X_59)))
    | mult(mult(i(X_59),X_58),X_59) != mult(i(ld(X_58,X_59)),X_59)
    | mult(mult(i(X_59),X_58),X_59) = i(ld(X_59,ld(X_58,X_59))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(mult(i(X_59),X_58),X_59))),bind(Y,$fot(mult(i(ld(X_58,X_59)),X_59))),bind(Z,$fot(i(ld(X_59,ld(X_58,X_59)))))]]) ).

cnf(refute_0_438,plain,
    ( mult(i(ld(X_58,X_59)),X_59) != i(ld(X_59,ld(X_58,X_59)))
    | mult(mult(i(X_59),X_58),X_59) = i(ld(X_59,ld(X_58,X_59))) ),
    inference(resolve,[$cnf( $equal(mult(mult(i(X_59),X_58),X_59),mult(i(ld(X_58,X_59)),X_59)) )],[refute_0_436,refute_0_437]) ).

cnf(refute_0_439,plain,
    mult(mult(i(X_59),X_58),X_59) = i(ld(X_59,ld(X_58,X_59))),
    inference(resolve,[$cnf( $equal(mult(i(ld(X_58,X_59)),X_59),i(ld(X_59,ld(X_58,X_59)))) )],[refute_0_431,refute_0_438]) ).

cnf(refute_0_440,plain,
    ( mult(mult(i(X_59),X_58),X_59) != i(ld(X_59,ld(X_58,X_59)))
    | mult(mult(i(X_59),X_58),X_59) != mult(unit,ld(X_59,mult(X_58,X_59)))
    | i(ld(X_59,ld(X_58,X_59))) = mult(unit,ld(X_59,mult(X_58,X_59))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(i(X_59),X_58),X_59),mult(unit,ld(X_59,mult(X_58,X_59)))) ),[0],$fot(i(ld(X_59,ld(X_58,X_59))))]]) ).

cnf(refute_0_441,plain,
    ( mult(mult(i(X_59),X_58),X_59) != mult(unit,ld(X_59,mult(X_58,X_59)))
    | i(ld(X_59,ld(X_58,X_59))) = mult(unit,ld(X_59,mult(X_58,X_59))) ),
    inference(resolve,[$cnf( $equal(mult(mult(i(X_59),X_58),X_59),i(ld(X_59,ld(X_58,X_59)))) )],[refute_0_439,refute_0_440]) ).

cnf(refute_0_442,plain,
    mult(unit,ld(X_59,mult(X_58,X_59))) = ld(X_59,mult(X_58,X_59)),
    inference(subst,[],[c06:[bind(A,$fot(ld(X_59,mult(X_58,X_59))))]]) ).

cnf(refute_0_443,plain,
    ( i(ld(X_59,ld(X_58,X_59))) != mult(unit,ld(X_59,mult(X_58,X_59)))
    | mult(unit,ld(X_59,mult(X_58,X_59))) != ld(X_59,mult(X_58,X_59))
    | i(ld(X_59,ld(X_58,X_59))) = ld(X_59,mult(X_58,X_59)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(i(ld(X_59,ld(X_58,X_59))),ld(X_59,mult(X_58,X_59))) ),[0],$fot(mult(unit,ld(X_59,mult(X_58,X_59))))]]) ).

cnf(refute_0_444,plain,
    ( i(ld(X_59,ld(X_58,X_59))) != mult(unit,ld(X_59,mult(X_58,X_59)))
    | i(ld(X_59,ld(X_58,X_59))) = ld(X_59,mult(X_58,X_59)) ),
    inference(resolve,[$cnf( $equal(mult(unit,ld(X_59,mult(X_58,X_59))),ld(X_59,mult(X_58,X_59))) )],[refute_0_442,refute_0_443]) ).

cnf(refute_0_445,plain,
    ( mult(mult(i(X_59),X_58),X_59) != mult(unit,ld(X_59,mult(X_58,X_59)))
    | i(ld(X_59,ld(X_58,X_59))) = ld(X_59,mult(X_58,X_59)) ),
    inference(resolve,[$cnf( $equal(i(ld(X_59,ld(X_58,X_59))),mult(unit,ld(X_59,mult(X_58,X_59)))) )],[refute_0_441,refute_0_444]) ).

cnf(refute_0_446,plain,
    i(ld(X_59,ld(X_58,X_59))) = ld(X_59,mult(X_58,X_59)),
    inference(resolve,[$cnf( $equal(mult(mult(i(X_59),X_58),X_59),mult(unit,ld(X_59,mult(X_58,X_59)))) )],[refute_0_430,refute_0_445]) ).

cnf(refute_0_447,plain,
    i(ld(X_61,ld(ld(i(X_61),X_37),X_61))) = ld(X_61,mult(ld(i(X_61),X_37),X_61)),
    inference(subst,[],[refute_0_446:[bind(X_58,$fot(ld(i(X_61),X_37))),bind(X_59,$fot(X_61))]]) ).

cnf(refute_0_448,plain,
    i(X_37) = ld(ld(i(X_61),X_37),X_61),
    inference(subst,[],[refute_0_205:[bind(X_38,$fot(X_61))]]) ).

cnf(refute_0_449,plain,
    ( i(X_37) != ld(ld(i(X_61),X_37),X_61)
    | ld(ld(i(X_61),X_37),X_61) = i(X_37) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(i(X_37))),bind(Y,$fot(ld(ld(i(X_61),X_37),X_61)))]]) ).

cnf(refute_0_450,plain,
    ld(ld(i(X_61),X_37),X_61) = i(X_37),
    inference(resolve,[$cnf( $equal(i(X_37),ld(ld(i(X_61),X_37),X_61)) )],[refute_0_448,refute_0_449]) ).

cnf(refute_0_451,plain,
    ( i(ld(X_61,ld(ld(i(X_61),X_37),X_61))) != ld(X_61,mult(ld(i(X_61),X_37),X_61))
    | ld(ld(i(X_61),X_37),X_61) != i(X_37)
    | i(ld(X_61,i(X_37))) = ld(X_61,mult(ld(i(X_61),X_37),X_61)) ),
    introduced(tautology,[equality,[$cnf( $equal(i(ld(X_61,ld(ld(i(X_61),X_37),X_61))),ld(X_61,mult(ld(i(X_61),X_37),X_61))) ),[0,0,1],$fot(i(X_37))]]) ).

cnf(refute_0_452,plain,
    ( i(ld(X_61,ld(ld(i(X_61),X_37),X_61))) != ld(X_61,mult(ld(i(X_61),X_37),X_61))
    | i(ld(X_61,i(X_37))) = ld(X_61,mult(ld(i(X_61),X_37),X_61)) ),
    inference(resolve,[$cnf( $equal(ld(ld(i(X_61),X_37),X_61),i(X_37)) )],[refute_0_450,refute_0_451]) ).

cnf(refute_0_453,plain,
    i(ld(X_61,i(X_37))) = ld(X_61,mult(ld(i(X_61),X_37),X_61)),
    inference(resolve,[$cnf( $equal(i(ld(X_61,ld(ld(i(X_61),X_37),X_61))),ld(X_61,mult(ld(i(X_61),X_37),X_61))) )],[refute_0_447,refute_0_452]) ).

cnf(refute_0_454,plain,
    i(i(mult(X_37,X_61))) = mult(X_37,X_61),
    inference(subst,[],[refute_0_52:[bind(X_4,$fot(mult(X_37,X_61)))]]) ).

cnf(refute_0_455,plain,
    ld(X_61,i(X_37)) = i(mult(X_37,X_61)),
    inference(subst,[],[refute_0_222:[bind(A,$fot(X_37)),bind(X_26,$fot(X_61))]]) ).

cnf(refute_0_456,plain,
    i(ld(X_61,i(X_37))) = i(ld(X_61,i(X_37))),
    introduced(tautology,[refl,[$fot(i(ld(X_61,i(X_37))))]]) ).

cnf(refute_0_457,plain,
    ( i(ld(X_61,i(X_37))) != i(ld(X_61,i(X_37)))
    | ld(X_61,i(X_37)) != i(mult(X_37,X_61))
    | i(ld(X_61,i(X_37))) = i(i(mult(X_37,X_61))) ),
    introduced(tautology,[equality,[$cnf( $equal(i(ld(X_61,i(X_37))),i(ld(X_61,i(X_37)))) ),[1,0],$fot(i(mult(X_37,X_61)))]]) ).

cnf(refute_0_458,plain,
    ( ld(X_61,i(X_37)) != i(mult(X_37,X_61))
    | i(ld(X_61,i(X_37))) = i(i(mult(X_37,X_61))) ),
    inference(resolve,[$cnf( $equal(i(ld(X_61,i(X_37))),i(ld(X_61,i(X_37)))) )],[refute_0_456,refute_0_457]) ).

cnf(refute_0_459,plain,
    i(ld(X_61,i(X_37))) = i(i(mult(X_37,X_61))),
    inference(resolve,[$cnf( $equal(ld(X_61,i(X_37)),i(mult(X_37,X_61))) )],[refute_0_455,refute_0_458]) ).

cnf(refute_0_460,plain,
    ( i(i(mult(X_37,X_61))) != mult(X_37,X_61)
    | i(ld(X_61,i(X_37))) != i(i(mult(X_37,X_61)))
    | i(ld(X_61,i(X_37))) = mult(X_37,X_61) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(i(ld(X_61,i(X_37))))),bind(Y,$fot(i(i(mult(X_37,X_61))))),bind(Z,$fot(mult(X_37,X_61)))]]) ).

cnf(refute_0_461,plain,
    ( i(i(mult(X_37,X_61))) != mult(X_37,X_61)
    | i(ld(X_61,i(X_37))) = mult(X_37,X_61) ),
    inference(resolve,[$cnf( $equal(i(ld(X_61,i(X_37))),i(i(mult(X_37,X_61)))) )],[refute_0_459,refute_0_460]) ).

cnf(refute_0_462,plain,
    i(ld(X_61,i(X_37))) = mult(X_37,X_61),
    inference(resolve,[$cnf( $equal(i(i(mult(X_37,X_61))),mult(X_37,X_61)) )],[refute_0_454,refute_0_461]) ).

cnf(refute_0_463,plain,
    ( i(ld(X_61,i(X_37))) != ld(X_61,mult(ld(i(X_61),X_37),X_61))
    | i(ld(X_61,i(X_37))) != mult(X_37,X_61)
    | mult(X_37,X_61) = ld(X_61,mult(ld(i(X_61),X_37),X_61)) ),
    introduced(tautology,[equality,[$cnf( $equal(i(ld(X_61,i(X_37))),ld(X_61,mult(ld(i(X_61),X_37),X_61))) ),[0],$fot(mult(X_37,X_61))]]) ).

cnf(refute_0_464,plain,
    ( i(ld(X_61,i(X_37))) != ld(X_61,mult(ld(i(X_61),X_37),X_61))
    | mult(X_37,X_61) = ld(X_61,mult(ld(i(X_61),X_37),X_61)) ),
    inference(resolve,[$cnf( $equal(i(ld(X_61,i(X_37))),mult(X_37,X_61)) )],[refute_0_462,refute_0_463]) ).

cnf(refute_0_465,plain,
    mult(X_37,X_61) = ld(X_61,mult(ld(i(X_61),X_37),X_61)),
    inference(resolve,[$cnf( $equal(i(ld(X_61,i(X_37))),ld(X_61,mult(ld(i(X_61),X_37),X_61))) )],[refute_0_453,refute_0_464]) ).

cnf(refute_0_466,plain,
    mult(X_64,i(X_38)) = ld(i(X_38),mult(ld(i(i(X_38)),X_64),i(X_38))),
    inference(subst,[],[refute_0_465:[bind(X_37,$fot(X_64)),bind(X_61,$fot(i(X_38)))]]) ).

cnf(refute_0_467,plain,
    ( mult(X_64,i(X_38)) != ld(i(X_38),mult(ld(i(i(X_38)),X_64),i(X_38)))
    | ld(i(X_38),mult(ld(i(i(X_38)),X_64),i(X_38))) = mult(X_64,i(X_38)) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(mult(X_64,i(X_38)))),bind(Y,$fot(ld(i(X_38),mult(ld(i(i(X_38)),X_64),i(X_38)))))]]) ).

cnf(refute_0_468,plain,
    ld(i(X_38),mult(ld(i(i(X_38)),X_64),i(X_38))) = mult(X_64,i(X_38)),
    inference(resolve,[$cnf( $equal(mult(X_64,i(X_38)),ld(i(X_38),mult(ld(i(i(X_38)),X_64),i(X_38)))) )],[refute_0_466,refute_0_467]) ).

cnf(refute_0_469,plain,
    ( i(mult(ld(i(i(X_38)),X_64),i(X_38))) != ld(ld(i(X_38),mult(ld(i(i(X_38)),X_64),i(X_38))),X_38)
    | ld(i(X_38),mult(ld(i(i(X_38)),X_64),i(X_38))) != mult(X_64,i(X_38))
    | i(mult(ld(i(i(X_38)),X_64),i(X_38))) = ld(mult(X_64,i(X_38)),X_38) ),
    introduced(tautology,[equality,[$cnf( $equal(i(mult(ld(i(i(X_38)),X_64),i(X_38))),ld(ld(i(X_38),mult(ld(i(i(X_38)),X_64),i(X_38))),X_38)) ),[1,0],$fot(mult(X_64,i(X_38)))]]) ).

cnf(refute_0_470,plain,
    ( i(mult(ld(i(i(X_38)),X_64),i(X_38))) != ld(ld(i(X_38),mult(ld(i(i(X_38)),X_64),i(X_38))),X_38)
    | i(mult(ld(i(i(X_38)),X_64),i(X_38))) = ld(mult(X_64,i(X_38)),X_38) ),
    inference(resolve,[$cnf( $equal(ld(i(X_38),mult(ld(i(i(X_38)),X_64),i(X_38))),mult(X_64,i(X_38))) )],[refute_0_468,refute_0_469]) ).

cnf(refute_0_471,plain,
    i(mult(ld(i(i(X_38)),X_64),i(X_38))) = ld(mult(X_64,i(X_38)),X_38),
    inference(resolve,[$cnf( $equal(i(mult(ld(i(i(X_38)),X_64),i(X_38))),ld(ld(i(X_38),mult(ld(i(i(X_38)),X_64),i(X_38))),X_38)) )],[refute_0_421,refute_0_470]) ).

cnf(refute_0_472,plain,
    i(i(rd(X_38,ld(X_38,X_64)))) = rd(X_38,ld(X_38,X_64)),
    inference(subst,[],[refute_0_52:[bind(X_4,$fot(rd(X_38,ld(X_38,X_64))))]]) ).

cnf(refute_0_473,plain,
    i(i(X_38)) = X_38,
    inference(subst,[],[refute_0_52:[bind(X_4,$fot(X_38))]]) ).

cnf(refute_0_474,plain,
    ld(i(i(X_38)),X_64) = ld(i(i(X_38)),X_64),
    introduced(tautology,[refl,[$fot(ld(i(i(X_38)),X_64))]]) ).

cnf(refute_0_475,plain,
    ( i(i(X_38)) != X_38
    | ld(i(i(X_38)),X_64) != ld(i(i(X_38)),X_64)
    | ld(i(i(X_38)),X_64) = ld(X_38,X_64) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(i(i(X_38)),X_64),ld(i(i(X_38)),X_64)) ),[1,0],$fot(X_38)]]) ).

cnf(refute_0_476,plain,
    ( i(i(X_38)) != X_38
    | ld(i(i(X_38)),X_64) = ld(X_38,X_64) ),
    inference(resolve,[$cnf( $equal(ld(i(i(X_38)),X_64),ld(i(i(X_38)),X_64)) )],[refute_0_474,refute_0_475]) ).

cnf(refute_0_477,plain,
    ld(i(i(X_38)),X_64) = ld(X_38,X_64),
    inference(resolve,[$cnf( $equal(i(i(X_38)),X_38) )],[refute_0_473,refute_0_476]) ).

cnf(refute_0_478,plain,
    rd(X_38,ld(i(i(X_38)),X_64)) = rd(X_38,ld(i(i(X_38)),X_64)),
    introduced(tautology,[refl,[$fot(rd(X_38,ld(i(i(X_38)),X_64)))]]) ).

cnf(refute_0_479,plain,
    ( ld(i(i(X_38)),X_64) != ld(X_38,X_64)
    | rd(X_38,ld(i(i(X_38)),X_64)) != rd(X_38,ld(i(i(X_38)),X_64))
    | rd(X_38,ld(i(i(X_38)),X_64)) = rd(X_38,ld(X_38,X_64)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(X_38,ld(i(i(X_38)),X_64)),rd(X_38,ld(i(i(X_38)),X_64))) ),[1,1],$fot(ld(X_38,X_64))]]) ).

cnf(refute_0_480,plain,
    ( ld(i(i(X_38)),X_64) != ld(X_38,X_64)
    | rd(X_38,ld(i(i(X_38)),X_64)) = rd(X_38,ld(X_38,X_64)) ),
    inference(resolve,[$cnf( $equal(rd(X_38,ld(i(i(X_38)),X_64)),rd(X_38,ld(i(i(X_38)),X_64))) )],[refute_0_478,refute_0_479]) ).

cnf(refute_0_481,plain,
    rd(X_38,ld(i(i(X_38)),X_64)) = rd(X_38,ld(X_38,X_64)),
    inference(resolve,[$cnf( $equal(ld(i(i(X_38)),X_64),ld(X_38,X_64)) )],[refute_0_477,refute_0_480]) ).

cnf(refute_0_482,plain,
    i(rd(X_38,ld(i(i(X_38)),X_64))) = i(rd(X_38,ld(i(i(X_38)),X_64))),
    introduced(tautology,[refl,[$fot(i(rd(X_38,ld(i(i(X_38)),X_64))))]]) ).

cnf(refute_0_483,plain,
    ( i(rd(X_38,ld(i(i(X_38)),X_64))) != i(rd(X_38,ld(i(i(X_38)),X_64)))
    | rd(X_38,ld(i(i(X_38)),X_64)) != rd(X_38,ld(X_38,X_64))
    | i(rd(X_38,ld(i(i(X_38)),X_64))) = i(rd(X_38,ld(X_38,X_64))) ),
    introduced(tautology,[equality,[$cnf( $equal(i(rd(X_38,ld(i(i(X_38)),X_64))),i(rd(X_38,ld(i(i(X_38)),X_64)))) ),[1,0],$fot(rd(X_38,ld(X_38,X_64)))]]) ).

cnf(refute_0_484,plain,
    ( rd(X_38,ld(i(i(X_38)),X_64)) != rd(X_38,ld(X_38,X_64))
    | i(rd(X_38,ld(i(i(X_38)),X_64))) = i(rd(X_38,ld(X_38,X_64))) ),
    inference(resolve,[$cnf( $equal(i(rd(X_38,ld(i(i(X_38)),X_64))),i(rd(X_38,ld(i(i(X_38)),X_64)))) )],[refute_0_482,refute_0_483]) ).

cnf(refute_0_485,plain,
    i(rd(X_38,ld(i(i(X_38)),X_64))) = i(rd(X_38,ld(X_38,X_64))),
    inference(resolve,[$cnf( $equal(rd(X_38,ld(i(i(X_38)),X_64)),rd(X_38,ld(X_38,X_64))) )],[refute_0_481,refute_0_484]) ).

cnf(refute_0_486,plain,
    mult(ld(i(i(X_38)),X_64),i(X_38)) = i(rd(X_38,ld(i(i(X_38)),X_64))),
    inference(subst,[],[refute_0_25:[bind(A,$fot(X_38)),bind(X_12,$fot(ld(i(i(X_38)),X_64)))]]) ).

cnf(refute_0_487,plain,
    ( i(rd(X_38,ld(i(i(X_38)),X_64))) != i(rd(X_38,ld(X_38,X_64)))
    | mult(ld(i(i(X_38)),X_64),i(X_38)) != i(rd(X_38,ld(i(i(X_38)),X_64)))
    | mult(ld(i(i(X_38)),X_64),i(X_38)) = i(rd(X_38,ld(X_38,X_64))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(ld(i(i(X_38)),X_64),i(X_38)))),bind(Y,$fot(i(rd(X_38,ld(i(i(X_38)),X_64))))),bind(Z,$fot(i(rd(X_38,ld(X_38,X_64)))))]]) ).

cnf(refute_0_488,plain,
    ( i(rd(X_38,ld(i(i(X_38)),X_64))) != i(rd(X_38,ld(X_38,X_64)))
    | mult(ld(i(i(X_38)),X_64),i(X_38)) = i(rd(X_38,ld(X_38,X_64))) ),
    inference(resolve,[$cnf( $equal(mult(ld(i(i(X_38)),X_64),i(X_38)),i(rd(X_38,ld(i(i(X_38)),X_64)))) )],[refute_0_486,refute_0_487]) ).

cnf(refute_0_489,plain,
    mult(ld(i(i(X_38)),X_64),i(X_38)) = i(rd(X_38,ld(X_38,X_64))),
    inference(resolve,[$cnf( $equal(i(rd(X_38,ld(i(i(X_38)),X_64))),i(rd(X_38,ld(X_38,X_64)))) )],[refute_0_485,refute_0_488]) ).

cnf(refute_0_490,plain,
    i(mult(ld(i(i(X_38)),X_64),i(X_38))) = i(mult(ld(i(i(X_38)),X_64),i(X_38))),
    introduced(tautology,[refl,[$fot(i(mult(ld(i(i(X_38)),X_64),i(X_38))))]]) ).

cnf(refute_0_491,plain,
    ( i(mult(ld(i(i(X_38)),X_64),i(X_38))) != i(mult(ld(i(i(X_38)),X_64),i(X_38)))
    | mult(ld(i(i(X_38)),X_64),i(X_38)) != i(rd(X_38,ld(X_38,X_64)))
    | i(mult(ld(i(i(X_38)),X_64),i(X_38))) = i(i(rd(X_38,ld(X_38,X_64)))) ),
    introduced(tautology,[equality,[$cnf( $equal(i(mult(ld(i(i(X_38)),X_64),i(X_38))),i(mult(ld(i(i(X_38)),X_64),i(X_38)))) ),[1,0],$fot(i(rd(X_38,ld(X_38,X_64))))]]) ).

cnf(refute_0_492,plain,
    ( mult(ld(i(i(X_38)),X_64),i(X_38)) != i(rd(X_38,ld(X_38,X_64)))
    | i(mult(ld(i(i(X_38)),X_64),i(X_38))) = i(i(rd(X_38,ld(X_38,X_64)))) ),
    inference(resolve,[$cnf( $equal(i(mult(ld(i(i(X_38)),X_64),i(X_38))),i(mult(ld(i(i(X_38)),X_64),i(X_38)))) )],[refute_0_490,refute_0_491]) ).

cnf(refute_0_493,plain,
    i(mult(ld(i(i(X_38)),X_64),i(X_38))) = i(i(rd(X_38,ld(X_38,X_64)))),
    inference(resolve,[$cnf( $equal(mult(ld(i(i(X_38)),X_64),i(X_38)),i(rd(X_38,ld(X_38,X_64)))) )],[refute_0_489,refute_0_492]) ).

cnf(refute_0_494,plain,
    ( i(i(rd(X_38,ld(X_38,X_64)))) != rd(X_38,ld(X_38,X_64))
    | i(mult(ld(i(i(X_38)),X_64),i(X_38))) != i(i(rd(X_38,ld(X_38,X_64))))
    | i(mult(ld(i(i(X_38)),X_64),i(X_38))) = rd(X_38,ld(X_38,X_64)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(i(mult(ld(i(i(X_38)),X_64),i(X_38))))),bind(Y,$fot(i(i(rd(X_38,ld(X_38,X_64)))))),bind(Z,$fot(rd(X_38,ld(X_38,X_64))))]]) ).

cnf(refute_0_495,plain,
    ( i(i(rd(X_38,ld(X_38,X_64)))) != rd(X_38,ld(X_38,X_64))
    | i(mult(ld(i(i(X_38)),X_64),i(X_38))) = rd(X_38,ld(X_38,X_64)) ),
    inference(resolve,[$cnf( $equal(i(mult(ld(i(i(X_38)),X_64),i(X_38))),i(i(rd(X_38,ld(X_38,X_64))))) )],[refute_0_493,refute_0_494]) ).

cnf(refute_0_496,plain,
    i(mult(ld(i(i(X_38)),X_64),i(X_38))) = rd(X_38,ld(X_38,X_64)),
    inference(resolve,[$cnf( $equal(i(i(rd(X_38,ld(X_38,X_64)))),rd(X_38,ld(X_38,X_64))) )],[refute_0_472,refute_0_495]) ).

cnf(refute_0_497,plain,
    ( i(mult(ld(i(i(X_38)),X_64),i(X_38))) != ld(mult(X_64,i(X_38)),X_38)
    | i(mult(ld(i(i(X_38)),X_64),i(X_38))) != rd(X_38,ld(X_38,X_64))
    | rd(X_38,ld(X_38,X_64)) = ld(mult(X_64,i(X_38)),X_38) ),
    introduced(tautology,[equality,[$cnf( $equal(i(mult(ld(i(i(X_38)),X_64),i(X_38))),ld(mult(X_64,i(X_38)),X_38)) ),[0],$fot(rd(X_38,ld(X_38,X_64)))]]) ).

cnf(refute_0_498,plain,
    ( i(mult(ld(i(i(X_38)),X_64),i(X_38))) != ld(mult(X_64,i(X_38)),X_38)
    | rd(X_38,ld(X_38,X_64)) = ld(mult(X_64,i(X_38)),X_38) ),
    inference(resolve,[$cnf( $equal(i(mult(ld(i(i(X_38)),X_64),i(X_38))),rd(X_38,ld(X_38,X_64))) )],[refute_0_496,refute_0_497]) ).

cnf(refute_0_499,plain,
    mult(X_64,i(X_38)) = i(rd(X_38,X_64)),
    inference(subst,[],[refute_0_25:[bind(A,$fot(X_38)),bind(X_12,$fot(X_64))]]) ).

cnf(refute_0_500,plain,
    ld(mult(X_64,i(X_38)),X_38) = ld(mult(X_64,i(X_38)),X_38),
    introduced(tautology,[refl,[$fot(ld(mult(X_64,i(X_38)),X_38))]]) ).

cnf(refute_0_501,plain,
    ( ld(mult(X_64,i(X_38)),X_38) != ld(mult(X_64,i(X_38)),X_38)
    | mult(X_64,i(X_38)) != i(rd(X_38,X_64))
    | ld(mult(X_64,i(X_38)),X_38) = ld(i(rd(X_38,X_64)),X_38) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_64,i(X_38)),X_38),ld(mult(X_64,i(X_38)),X_38)) ),[1,0],$fot(i(rd(X_38,X_64)))]]) ).

cnf(refute_0_502,plain,
    ( mult(X_64,i(X_38)) != i(rd(X_38,X_64))
    | ld(mult(X_64,i(X_38)),X_38) = ld(i(rd(X_38,X_64)),X_38) ),
    inference(resolve,[$cnf( $equal(ld(mult(X_64,i(X_38)),X_38),ld(mult(X_64,i(X_38)),X_38)) )],[refute_0_500,refute_0_501]) ).

cnf(refute_0_503,plain,
    ld(mult(X_64,i(X_38)),X_38) = ld(i(rd(X_38,X_64)),X_38),
    inference(resolve,[$cnf( $equal(mult(X_64,i(X_38)),i(rd(X_38,X_64))) )],[refute_0_499,refute_0_502]) ).

cnf(refute_0_504,plain,
    ( ld(mult(X_64,i(X_38)),X_38) != ld(i(rd(X_38,X_64)),X_38)
    | rd(X_38,ld(X_38,X_64)) != ld(mult(X_64,i(X_38)),X_38)
    | rd(X_38,ld(X_38,X_64)) = ld(i(rd(X_38,X_64)),X_38) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(X_38,ld(X_38,X_64)),ld(mult(X_64,i(X_38)),X_38)) ),[1],$fot(ld(i(rd(X_38,X_64)),X_38))]]) ).

cnf(refute_0_505,plain,
    ( rd(X_38,ld(X_38,X_64)) != ld(mult(X_64,i(X_38)),X_38)
    | rd(X_38,ld(X_38,X_64)) = ld(i(rd(X_38,X_64)),X_38) ),
    inference(resolve,[$cnf( $equal(ld(mult(X_64,i(X_38)),X_38),ld(i(rd(X_38,X_64)),X_38)) )],[refute_0_503,refute_0_504]) ).

cnf(refute_0_506,plain,
    ( i(mult(ld(i(i(X_38)),X_64),i(X_38))) != ld(mult(X_64,i(X_38)),X_38)
    | rd(X_38,ld(X_38,X_64)) = ld(i(rd(X_38,X_64)),X_38) ),
    inference(resolve,[$cnf( $equal(rd(X_38,ld(X_38,X_64)),ld(mult(X_64,i(X_38)),X_38)) )],[refute_0_498,refute_0_505]) ).

cnf(refute_0_507,plain,
    rd(X_38,ld(X_38,X_64)) = ld(i(rd(X_38,X_64)),X_38),
    inference(resolve,[$cnf( $equal(i(mult(ld(i(i(X_38)),X_64),i(X_38))),ld(mult(X_64,i(X_38)),X_38)) )],[refute_0_471,refute_0_506]) ).

cnf(refute_0_508,plain,
    rd(mult(A,X_143),ld(mult(A,X_143),X_143)) = ld(i(rd(mult(A,X_143),X_143)),mult(A,X_143)),
    inference(subst,[],[refute_0_507:[bind(X_38,$fot(mult(A,X_143))),bind(X_64,$fot(X_143))]]) ).

cnf(refute_0_509,plain,
    rd(mult(A,X_143),X_143) = A,
    inference(subst,[],[c04:[bind(B,$fot(X_143))]]) ).

cnf(refute_0_510,plain,
    ( rd(mult(A,X_143),X_143) != A
    | rd(mult(A,X_143),ld(mult(A,X_143),X_143)) != ld(i(rd(mult(A,X_143),X_143)),mult(A,X_143))
    | rd(mult(A,X_143),ld(mult(A,X_143),X_143)) = ld(i(A),mult(A,X_143)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(A,X_143),ld(mult(A,X_143),X_143)),ld(i(rd(mult(A,X_143),X_143)),mult(A,X_143))) ),[1,0,0],$fot(A)]]) ).

cnf(refute_0_511,plain,
    ( rd(mult(A,X_143),ld(mult(A,X_143),X_143)) != ld(i(rd(mult(A,X_143),X_143)),mult(A,X_143))
    | rd(mult(A,X_143),ld(mult(A,X_143),X_143)) = ld(i(A),mult(A,X_143)) ),
    inference(resolve,[$cnf( $equal(rd(mult(A,X_143),X_143),A) )],[refute_0_509,refute_0_510]) ).

cnf(refute_0_512,plain,
    rd(mult(A,X_143),ld(mult(A,X_143),X_143)) = ld(i(A),mult(A,X_143)),
    inference(resolve,[$cnf( $equal(rd(mult(A,X_143),ld(mult(A,X_143),X_143)),ld(i(rd(mult(A,X_143),X_143)),mult(A,X_143))) )],[refute_0_508,refute_0_511]) ).

cnf(refute_0_513,plain,
    ld(rd(A,mult(X_94,A)),A) = mult(X_94,A),
    inference(subst,[],[refute_0_32:[bind(X_24,$fot(mult(X_94,A)))]]) ).

cnf(refute_0_514,plain,
    ld(A,rd(A,X_94)) = rd(A,mult(X_94,A)),
    inference(subst,[],[refute_0_393:[bind(X_92,$fot(X_94)),bind(X_93,$fot(A))]]) ).

cnf(refute_0_515,plain,
    ( ld(A,rd(A,X_94)) != rd(A,mult(X_94,A))
    | rd(A,mult(X_94,A)) = ld(A,rd(A,X_94)) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ld(A,rd(A,X_94)))),bind(Y,$fot(rd(A,mult(X_94,A))))]]) ).

cnf(refute_0_516,plain,
    rd(A,mult(X_94,A)) = ld(A,rd(A,X_94)),
    inference(resolve,[$cnf( $equal(ld(A,rd(A,X_94)),rd(A,mult(X_94,A))) )],[refute_0_514,refute_0_515]) ).

cnf(refute_0_517,plain,
    ( ld(rd(A,mult(X_94,A)),A) != mult(X_94,A)
    | rd(A,mult(X_94,A)) != ld(A,rd(A,X_94))
    | ld(ld(A,rd(A,X_94)),A) = mult(X_94,A) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(rd(A,mult(X_94,A)),A),mult(X_94,A)) ),[0,0],$fot(ld(A,rd(A,X_94)))]]) ).

cnf(refute_0_518,plain,
    ( ld(rd(A,mult(X_94,A)),A) != mult(X_94,A)
    | ld(ld(A,rd(A,X_94)),A) = mult(X_94,A) ),
    inference(resolve,[$cnf( $equal(rd(A,mult(X_94,A)),ld(A,rd(A,X_94))) )],[refute_0_516,refute_0_517]) ).

cnf(refute_0_519,plain,
    ld(ld(A,rd(A,X_94)),A) = mult(X_94,A),
    inference(resolve,[$cnf( $equal(ld(rd(A,mult(X_94,A)),A),mult(X_94,A)) )],[refute_0_513,refute_0_518]) ).

cnf(refute_0_520,plain,
    ld(ld(X_119,rd(X_119,X_119)),X_119) = mult(X_119,X_119),
    inference(subst,[],[refute_0_519:[bind(A,$fot(X_119)),bind(X_94,$fot(X_119))]]) ).

cnf(refute_0_521,plain,
    rd(X_119,X_119) = unit,
    inference(subst,[],[refute_0_327:[bind(X_5,$fot(X_119))]]) ).

cnf(refute_0_522,plain,
    ( ld(ld(X_119,rd(X_119,X_119)),X_119) != mult(X_119,X_119)
    | rd(X_119,X_119) != unit
    | ld(ld(X_119,unit),X_119) = mult(X_119,X_119) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_119,rd(X_119,X_119)),X_119),mult(X_119,X_119)) ),[0,0,1],$fot(unit)]]) ).

cnf(refute_0_523,plain,
    ( ld(ld(X_119,rd(X_119,X_119)),X_119) != mult(X_119,X_119)
    | ld(ld(X_119,unit),X_119) = mult(X_119,X_119) ),
    inference(resolve,[$cnf( $equal(rd(X_119,X_119),unit) )],[refute_0_521,refute_0_522]) ).

cnf(refute_0_524,plain,
    ld(ld(X_119,unit),X_119) = mult(X_119,X_119),
    inference(resolve,[$cnf( $equal(ld(ld(X_119,rd(X_119,X_119)),X_119),mult(X_119,X_119)) )],[refute_0_520,refute_0_523]) ).

cnf(refute_0_525,plain,
    ld(X_119,unit) = i(X_119),
    inference(subst,[],[refute_0_55:[bind(X_4,$fot(X_119))]]) ).

cnf(refute_0_526,plain,
    ld(ld(X_119,unit),X_119) = ld(ld(X_119,unit),X_119),
    introduced(tautology,[refl,[$fot(ld(ld(X_119,unit),X_119))]]) ).

cnf(refute_0_527,plain,
    ( ld(X_119,unit) != i(X_119)
    | ld(ld(X_119,unit),X_119) != ld(ld(X_119,unit),X_119)
    | ld(ld(X_119,unit),X_119) = ld(i(X_119),X_119) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_119,unit),X_119),ld(ld(X_119,unit),X_119)) ),[1,0],$fot(i(X_119))]]) ).

cnf(refute_0_528,plain,
    ( ld(X_119,unit) != i(X_119)
    | ld(ld(X_119,unit),X_119) = ld(i(X_119),X_119) ),
    inference(resolve,[$cnf( $equal(ld(ld(X_119,unit),X_119),ld(ld(X_119,unit),X_119)) )],[refute_0_526,refute_0_527]) ).

cnf(refute_0_529,plain,
    ld(ld(X_119,unit),X_119) = ld(i(X_119),X_119),
    inference(resolve,[$cnf( $equal(ld(X_119,unit),i(X_119)) )],[refute_0_525,refute_0_528]) ).

cnf(refute_0_530,plain,
    ( ld(ld(X_119,unit),X_119) != ld(i(X_119),X_119)
    | ld(ld(X_119,unit),X_119) != mult(X_119,X_119)
    | ld(i(X_119),X_119) = mult(X_119,X_119) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_119,unit),X_119),mult(X_119,X_119)) ),[0],$fot(ld(i(X_119),X_119))]]) ).

cnf(refute_0_531,plain,
    ( ld(ld(X_119,unit),X_119) != mult(X_119,X_119)
    | ld(i(X_119),X_119) = mult(X_119,X_119) ),
    inference(resolve,[$cnf( $equal(ld(ld(X_119,unit),X_119),ld(i(X_119),X_119)) )],[refute_0_529,refute_0_530]) ).

cnf(refute_0_532,plain,
    ld(i(X_119),X_119) = mult(X_119,X_119),
    inference(resolve,[$cnf( $equal(ld(ld(X_119,unit),X_119),mult(X_119,X_119)) )],[refute_0_524,refute_0_531]) ).

cnf(refute_0_533,plain,
    ld(i(A),A) = mult(A,A),
    inference(subst,[],[refute_0_532:[bind(X_119,$fot(A))]]) ).

cnf(refute_0_534,plain,
    mult(ld(i(A),A),X_143) = mult(ld(i(A),A),X_143),
    introduced(tautology,[refl,[$fot(mult(ld(i(A),A),X_143))]]) ).

cnf(refute_0_535,plain,
    ( ld(i(A),A) != mult(A,A)
    | mult(ld(i(A),A),X_143) != mult(ld(i(A),A),X_143)
    | mult(ld(i(A),A),X_143) = mult(mult(A,A),X_143) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(ld(i(A),A),X_143),mult(ld(i(A),A),X_143)) ),[1,0],$fot(mult(A,A))]]) ).

cnf(refute_0_536,plain,
    ( ld(i(A),A) != mult(A,A)
    | mult(ld(i(A),A),X_143) = mult(mult(A,A),X_143) ),
    inference(resolve,[$cnf( $equal(mult(ld(i(A),A),X_143),mult(ld(i(A),A),X_143)) )],[refute_0_534,refute_0_535]) ).

cnf(refute_0_537,plain,
    mult(ld(i(A),A),X_143) = mult(mult(A,A),X_143),
    inference(resolve,[$cnf( $equal(ld(i(A),A),mult(A,A)) )],[refute_0_533,refute_0_536]) ).

cnf(refute_0_538,plain,
    rd(mult(mult(X_51,X_53),ld(X_53,mult(X_52,X_53))),ld(X_53,mult(X_52,X_53))) = mult(X_51,X_53),
    inference(subst,[],[c04:[bind(A,$fot(mult(X_51,X_53))),bind(B,$fot(ld(X_53,mult(X_52,X_53))))]]) ).

cnf(refute_0_539,plain,
    ( mult(mult(X_51,X_53),ld(X_53,mult(X_52,X_53))) != mult(mult(X_51,X_52),X_53)
    | rd(mult(mult(X_51,X_53),ld(X_53,mult(X_52,X_53))),ld(X_53,mult(X_52,X_53))) != mult(X_51,X_53)
    | rd(mult(mult(X_51,X_52),X_53),ld(X_53,mult(X_52,X_53))) = mult(X_51,X_53) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_51,X_53),ld(X_53,mult(X_52,X_53))),ld(X_53,mult(X_52,X_53))),mult(X_51,X_53)) ),[0,0],$fot(mult(mult(X_51,X_52),X_53))]]) ).

cnf(refute_0_540,plain,
    ( rd(mult(mult(X_51,X_53),ld(X_53,mult(X_52,X_53))),ld(X_53,mult(X_52,X_53))) != mult(X_51,X_53)
    | rd(mult(mult(X_51,X_52),X_53),ld(X_53,mult(X_52,X_53))) = mult(X_51,X_53) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_51,X_53),ld(X_53,mult(X_52,X_53))),mult(mult(X_51,X_52),X_53)) )],[refute_0_135,refute_0_539]) ).

cnf(refute_0_541,plain,
    rd(mult(mult(X_51,X_52),X_53),ld(X_53,mult(X_52,X_53))) = mult(X_51,X_53),
    inference(resolve,[$cnf( $equal(rd(mult(mult(X_51,X_53),ld(X_53,mult(X_52,X_53))),ld(X_53,mult(X_52,X_53))),mult(X_51,X_53)) )],[refute_0_538,refute_0_540]) ).

cnf(refute_0_542,plain,
    rd(mult(mult(rd(A,X_55),X_55),X_56),ld(X_56,mult(X_55,X_56))) = mult(rd(A,X_55),X_56),
    inference(subst,[],[refute_0_541:[bind(X_51,$fot(rd(A,X_55))),bind(X_52,$fot(X_55)),bind(X_53,$fot(X_56))]]) ).

cnf(refute_0_543,plain,
    mult(rd(A,X_55),X_55) = A,
    inference(subst,[],[c03:[bind(B,$fot(X_55))]]) ).

cnf(refute_0_544,plain,
    ( mult(rd(A,X_55),X_55) != A
    | rd(mult(mult(rd(A,X_55),X_55),X_56),ld(X_56,mult(X_55,X_56))) != mult(rd(A,X_55),X_56)
    | rd(mult(A,X_56),ld(X_56,mult(X_55,X_56))) = mult(rd(A,X_55),X_56) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(rd(A,X_55),X_55),X_56),ld(X_56,mult(X_55,X_56))),mult(rd(A,X_55),X_56)) ),[0,0,0],$fot(A)]]) ).

cnf(refute_0_545,plain,
    ( rd(mult(mult(rd(A,X_55),X_55),X_56),ld(X_56,mult(X_55,X_56))) != mult(rd(A,X_55),X_56)
    | rd(mult(A,X_56),ld(X_56,mult(X_55,X_56))) = mult(rd(A,X_55),X_56) ),
    inference(resolve,[$cnf( $equal(mult(rd(A,X_55),X_55),A) )],[refute_0_543,refute_0_544]) ).

cnf(refute_0_546,plain,
    rd(mult(A,X_56),ld(X_56,mult(X_55,X_56))) = mult(rd(A,X_55),X_56),
    inference(resolve,[$cnf( $equal(rd(mult(mult(rd(A,X_55),X_55),X_56),ld(X_56,mult(X_55,X_56))),mult(rd(A,X_55),X_56)) )],[refute_0_542,refute_0_545]) ).

cnf(refute_0_547,plain,
    rd(mult(X_115,X_117),ld(X_117,mult(i(X_19),X_117))) = mult(rd(X_115,i(X_19)),X_117),
    inference(subst,[],[refute_0_546:[bind(A,$fot(X_115)),bind(X_55,$fot(i(X_19))),bind(X_56,$fot(X_117))]]) ).

cnf(refute_0_548,plain,
    mult(i(X_19),X_117) = i(ld(X_117,X_19)),
    inference(subst,[],[refute_0_109:[bind(X_13,$fot(X_117))]]) ).

cnf(refute_0_549,plain,
    ( mult(i(X_19),X_117) != i(ld(X_117,X_19))
    | rd(mult(X_115,X_117),ld(X_117,mult(i(X_19),X_117))) != mult(rd(X_115,i(X_19)),X_117)
    | rd(mult(X_115,X_117),ld(X_117,i(ld(X_117,X_19)))) = mult(rd(X_115,i(X_19)),X_117) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_115,X_117),ld(X_117,mult(i(X_19),X_117))),mult(rd(X_115,i(X_19)),X_117)) ),[0,1,1],$fot(i(ld(X_117,X_19)))]]) ).

cnf(refute_0_550,plain,
    ( rd(mult(X_115,X_117),ld(X_117,mult(i(X_19),X_117))) != mult(rd(X_115,i(X_19)),X_117)
    | rd(mult(X_115,X_117),ld(X_117,i(ld(X_117,X_19)))) = mult(rd(X_115,i(X_19)),X_117) ),
    inference(resolve,[$cnf( $equal(mult(i(X_19),X_117),i(ld(X_117,X_19))) )],[refute_0_548,refute_0_549]) ).

cnf(refute_0_551,plain,
    rd(mult(X_115,X_117),ld(X_117,i(ld(X_117,X_19)))) = mult(rd(X_115,i(X_19)),X_117),
    inference(resolve,[$cnf( $equal(rd(mult(X_115,X_117),ld(X_117,mult(i(X_19),X_117))),mult(rd(X_115,i(X_19)),X_117)) )],[refute_0_547,refute_0_550]) ).

cnf(refute_0_552,plain,
    i(rd(mult(i(X_19),X_77),i(X_19))) = rd(rd(i(X_19),X_77),i(X_19)),
    inference(subst,[],[refute_0_245:[bind(X_74,$fot(i(X_19))),bind(X_75,$fot(X_77))]]) ).

cnf(refute_0_553,plain,
    mult(i(X_19),X_77) = i(ld(X_77,X_19)),
    inference(subst,[],[refute_0_109:[bind(X_13,$fot(X_77))]]) ).

cnf(refute_0_554,plain,
    ( i(rd(mult(i(X_19),X_77),i(X_19))) != rd(rd(i(X_19),X_77),i(X_19))
    | mult(i(X_19),X_77) != i(ld(X_77,X_19))
    | i(rd(i(ld(X_77,X_19)),i(X_19))) = rd(rd(i(X_19),X_77),i(X_19)) ),
    introduced(tautology,[equality,[$cnf( $equal(i(rd(mult(i(X_19),X_77),i(X_19))),rd(rd(i(X_19),X_77),i(X_19))) ),[0,0,0],$fot(i(ld(X_77,X_19)))]]) ).

cnf(refute_0_555,plain,
    ( i(rd(mult(i(X_19),X_77),i(X_19))) != rd(rd(i(X_19),X_77),i(X_19))
    | i(rd(i(ld(X_77,X_19)),i(X_19))) = rd(rd(i(X_19),X_77),i(X_19)) ),
    inference(resolve,[$cnf( $equal(mult(i(X_19),X_77),i(ld(X_77,X_19))) )],[refute_0_553,refute_0_554]) ).

cnf(refute_0_556,plain,
    i(rd(i(ld(X_77,X_19)),i(X_19))) = rd(rd(i(X_19),X_77),i(X_19)),
    inference(resolve,[$cnf( $equal(i(rd(mult(i(X_19),X_77),i(X_19))),rd(rd(i(X_19),X_77),i(X_19))) )],[refute_0_552,refute_0_555]) ).

cnf(refute_0_557,plain,
    i(i(ld(X_77,X_19))) = ld(X_77,X_19),
    inference(subst,[],[refute_0_52:[bind(X_4,$fot(ld(X_77,X_19)))]]) ).

cnf(refute_0_558,plain,
    ld(i(i(ld(X_77,X_19))),X_19) = ld(i(i(ld(X_77,X_19))),X_19),
    introduced(tautology,[refl,[$fot(ld(i(i(ld(X_77,X_19))),X_19))]]) ).

cnf(refute_0_559,plain,
    ( i(i(ld(X_77,X_19))) != ld(X_77,X_19)
    | ld(i(i(ld(X_77,X_19))),X_19) != ld(i(i(ld(X_77,X_19))),X_19)
    | ld(i(i(ld(X_77,X_19))),X_19) = ld(ld(X_77,X_19),X_19) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(i(i(ld(X_77,X_19))),X_19),ld(i(i(ld(X_77,X_19))),X_19)) ),[1,0],$fot(ld(X_77,X_19))]]) ).

cnf(refute_0_560,plain,
    ( i(i(ld(X_77,X_19))) != ld(X_77,X_19)
    | ld(i(i(ld(X_77,X_19))),X_19) = ld(ld(X_77,X_19),X_19) ),
    inference(resolve,[$cnf( $equal(ld(i(i(ld(X_77,X_19))),X_19),ld(i(i(ld(X_77,X_19))),X_19)) )],[refute_0_558,refute_0_559]) ).

cnf(refute_0_561,plain,
    ld(i(i(ld(X_77,X_19))),X_19) = ld(ld(X_77,X_19),X_19),
    inference(resolve,[$cnf( $equal(i(i(ld(X_77,X_19))),ld(X_77,X_19)) )],[refute_0_557,refute_0_560]) ).

cnf(refute_0_562,plain,
    rd(i(ld(X_77,X_19)),i(X_19)) = ld(i(i(ld(X_77,X_19))),X_19),
    inference(subst,[],[refute_0_314:[bind(X_19,$fot(i(ld(X_77,X_19)))),bind(X_39,$fot(X_19))]]) ).

cnf(refute_0_563,plain,
    ( ld(i(i(ld(X_77,X_19))),X_19) != ld(ld(X_77,X_19),X_19)
    | rd(i(ld(X_77,X_19)),i(X_19)) != ld(i(i(ld(X_77,X_19))),X_19)
    | rd(i(ld(X_77,X_19)),i(X_19)) = ld(ld(X_77,X_19),X_19) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(rd(i(ld(X_77,X_19)),i(X_19)))),bind(Y,$fot(ld(i(i(ld(X_77,X_19))),X_19))),bind(Z,$fot(ld(ld(X_77,X_19),X_19)))]]) ).

cnf(refute_0_564,plain,
    ( ld(i(i(ld(X_77,X_19))),X_19) != ld(ld(X_77,X_19),X_19)
    | rd(i(ld(X_77,X_19)),i(X_19)) = ld(ld(X_77,X_19),X_19) ),
    inference(resolve,[$cnf( $equal(rd(i(ld(X_77,X_19)),i(X_19)),ld(i(i(ld(X_77,X_19))),X_19)) )],[refute_0_562,refute_0_563]) ).

cnf(refute_0_565,plain,
    rd(i(ld(X_77,X_19)),i(X_19)) = ld(ld(X_77,X_19),X_19),
    inference(resolve,[$cnf( $equal(ld(i(i(ld(X_77,X_19))),X_19),ld(ld(X_77,X_19),X_19)) )],[refute_0_561,refute_0_564]) ).

cnf(refute_0_566,plain,
    i(rd(i(ld(X_77,X_19)),i(X_19))) = i(rd(i(ld(X_77,X_19)),i(X_19))),
    introduced(tautology,[refl,[$fot(i(rd(i(ld(X_77,X_19)),i(X_19))))]]) ).

cnf(refute_0_567,plain,
    ( i(rd(i(ld(X_77,X_19)),i(X_19))) != i(rd(i(ld(X_77,X_19)),i(X_19)))
    | rd(i(ld(X_77,X_19)),i(X_19)) != ld(ld(X_77,X_19),X_19)
    | i(rd(i(ld(X_77,X_19)),i(X_19))) = i(ld(ld(X_77,X_19),X_19)) ),
    introduced(tautology,[equality,[$cnf( $equal(i(rd(i(ld(X_77,X_19)),i(X_19))),i(rd(i(ld(X_77,X_19)),i(X_19)))) ),[1,0],$fot(ld(ld(X_77,X_19),X_19))]]) ).

cnf(refute_0_568,plain,
    ( rd(i(ld(X_77,X_19)),i(X_19)) != ld(ld(X_77,X_19),X_19)
    | i(rd(i(ld(X_77,X_19)),i(X_19))) = i(ld(ld(X_77,X_19),X_19)) ),
    inference(resolve,[$cnf( $equal(i(rd(i(ld(X_77,X_19)),i(X_19))),i(rd(i(ld(X_77,X_19)),i(X_19)))) )],[refute_0_566,refute_0_567]) ).

cnf(refute_0_569,plain,
    i(rd(i(ld(X_77,X_19)),i(X_19))) = i(ld(ld(X_77,X_19),X_19)),
    inference(resolve,[$cnf( $equal(rd(i(ld(X_77,X_19)),i(X_19)),ld(ld(X_77,X_19),X_19)) )],[refute_0_565,refute_0_568]) ).

cnf(refute_0_570,plain,
    ( i(rd(i(ld(X_77,X_19)),i(X_19))) != i(ld(ld(X_77,X_19),X_19))
    | i(rd(i(ld(X_77,X_19)),i(X_19))) != rd(rd(i(X_19),X_77),i(X_19))
    | i(ld(ld(X_77,X_19),X_19)) = rd(rd(i(X_19),X_77),i(X_19)) ),
    introduced(tautology,[equality,[$cnf( $equal(i(rd(i(ld(X_77,X_19)),i(X_19))),rd(rd(i(X_19),X_77),i(X_19))) ),[0],$fot(i(ld(ld(X_77,X_19),X_19)))]]) ).

cnf(refute_0_571,plain,
    ( i(rd(i(ld(X_77,X_19)),i(X_19))) != rd(rd(i(X_19),X_77),i(X_19))
    | i(ld(ld(X_77,X_19),X_19)) = rd(rd(i(X_19),X_77),i(X_19)) ),
    inference(resolve,[$cnf( $equal(i(rd(i(ld(X_77,X_19)),i(X_19))),i(ld(ld(X_77,X_19),X_19))) )],[refute_0_569,refute_0_570]) ).

cnf(refute_0_572,plain,
    i(i(mult(X_77,X_19))) = mult(X_77,X_19),
    inference(subst,[],[refute_0_52:[bind(X_4,$fot(mult(X_77,X_19)))]]) ).

cnf(refute_0_573,plain,
    rd(i(X_19),X_77) = i(mult(X_77,X_19)),
    inference(subst,[],[refute_0_404:[bind(B,$fot(X_77)),bind(X_14,$fot(X_19))]]) ).

cnf(refute_0_574,plain,
    i(rd(i(X_19),X_77)) = i(rd(i(X_19),X_77)),
    introduced(tautology,[refl,[$fot(i(rd(i(X_19),X_77)))]]) ).

cnf(refute_0_575,plain,
    ( i(rd(i(X_19),X_77)) != i(rd(i(X_19),X_77))
    | rd(i(X_19),X_77) != i(mult(X_77,X_19))
    | i(rd(i(X_19),X_77)) = i(i(mult(X_77,X_19))) ),
    introduced(tautology,[equality,[$cnf( $equal(i(rd(i(X_19),X_77)),i(rd(i(X_19),X_77))) ),[1,0],$fot(i(mult(X_77,X_19)))]]) ).

cnf(refute_0_576,plain,
    ( rd(i(X_19),X_77) != i(mult(X_77,X_19))
    | i(rd(i(X_19),X_77)) = i(i(mult(X_77,X_19))) ),
    inference(resolve,[$cnf( $equal(i(rd(i(X_19),X_77)),i(rd(i(X_19),X_77))) )],[refute_0_574,refute_0_575]) ).

cnf(refute_0_577,plain,
    i(rd(i(X_19),X_77)) = i(i(mult(X_77,X_19))),
    inference(resolve,[$cnf( $equal(rd(i(X_19),X_77),i(mult(X_77,X_19))) )],[refute_0_573,refute_0_576]) ).

cnf(refute_0_578,plain,
    ( i(i(mult(X_77,X_19))) != mult(X_77,X_19)
    | i(rd(i(X_19),X_77)) != i(i(mult(X_77,X_19)))
    | i(rd(i(X_19),X_77)) = mult(X_77,X_19) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(i(rd(i(X_19),X_77)))),bind(Y,$fot(i(i(mult(X_77,X_19))))),bind(Z,$fot(mult(X_77,X_19)))]]) ).

cnf(refute_0_579,plain,
    ( i(i(mult(X_77,X_19))) != mult(X_77,X_19)
    | i(rd(i(X_19),X_77)) = mult(X_77,X_19) ),
    inference(resolve,[$cnf( $equal(i(rd(i(X_19),X_77)),i(i(mult(X_77,X_19)))) )],[refute_0_577,refute_0_578]) ).

cnf(refute_0_580,plain,
    i(rd(i(X_19),X_77)) = mult(X_77,X_19),
    inference(resolve,[$cnf( $equal(i(i(mult(X_77,X_19))),mult(X_77,X_19)) )],[refute_0_572,refute_0_579]) ).

cnf(refute_0_581,plain,
    ld(i(rd(i(X_19),X_77)),X_19) = ld(i(rd(i(X_19),X_77)),X_19),
    introduced(tautology,[refl,[$fot(ld(i(rd(i(X_19),X_77)),X_19))]]) ).

cnf(refute_0_582,plain,
    ( i(rd(i(X_19),X_77)) != mult(X_77,X_19)
    | ld(i(rd(i(X_19),X_77)),X_19) != ld(i(rd(i(X_19),X_77)),X_19)
    | ld(i(rd(i(X_19),X_77)),X_19) = ld(mult(X_77,X_19),X_19) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(i(rd(i(X_19),X_77)),X_19),ld(i(rd(i(X_19),X_77)),X_19)) ),[1,0],$fot(mult(X_77,X_19))]]) ).

cnf(refute_0_583,plain,
    ( i(rd(i(X_19),X_77)) != mult(X_77,X_19)
    | ld(i(rd(i(X_19),X_77)),X_19) = ld(mult(X_77,X_19),X_19) ),
    inference(resolve,[$cnf( $equal(ld(i(rd(i(X_19),X_77)),X_19),ld(i(rd(i(X_19),X_77)),X_19)) )],[refute_0_581,refute_0_582]) ).

cnf(refute_0_584,plain,
    ld(i(rd(i(X_19),X_77)),X_19) = ld(mult(X_77,X_19),X_19),
    inference(resolve,[$cnf( $equal(i(rd(i(X_19),X_77)),mult(X_77,X_19)) )],[refute_0_580,refute_0_583]) ).

cnf(refute_0_585,plain,
    rd(rd(i(X_19),X_77),i(X_19)) = ld(i(rd(i(X_19),X_77)),X_19),
    inference(subst,[],[refute_0_314:[bind(X_19,$fot(rd(i(X_19),X_77))),bind(X_39,$fot(X_19))]]) ).

cnf(refute_0_586,plain,
    ( ld(i(rd(i(X_19),X_77)),X_19) != ld(mult(X_77,X_19),X_19)
    | rd(rd(i(X_19),X_77),i(X_19)) != ld(i(rd(i(X_19),X_77)),X_19)
    | rd(rd(i(X_19),X_77),i(X_19)) = ld(mult(X_77,X_19),X_19) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(rd(rd(i(X_19),X_77),i(X_19)))),bind(Y,$fot(ld(i(rd(i(X_19),X_77)),X_19))),bind(Z,$fot(ld(mult(X_77,X_19),X_19)))]]) ).

cnf(refute_0_587,plain,
    ( ld(i(rd(i(X_19),X_77)),X_19) != ld(mult(X_77,X_19),X_19)
    | rd(rd(i(X_19),X_77),i(X_19)) = ld(mult(X_77,X_19),X_19) ),
    inference(resolve,[$cnf( $equal(rd(rd(i(X_19),X_77),i(X_19)),ld(i(rd(i(X_19),X_77)),X_19)) )],[refute_0_585,refute_0_586]) ).

cnf(refute_0_588,plain,
    rd(rd(i(X_19),X_77),i(X_19)) = ld(mult(X_77,X_19),X_19),
    inference(resolve,[$cnf( $equal(ld(i(rd(i(X_19),X_77)),X_19),ld(mult(X_77,X_19),X_19)) )],[refute_0_584,refute_0_587]) ).

cnf(refute_0_589,plain,
    ( i(ld(ld(X_77,X_19),X_19)) != rd(rd(i(X_19),X_77),i(X_19))
    | rd(rd(i(X_19),X_77),i(X_19)) != ld(mult(X_77,X_19),X_19)
    | i(ld(ld(X_77,X_19),X_19)) = ld(mult(X_77,X_19),X_19) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(i(ld(ld(X_77,X_19),X_19)),ld(mult(X_77,X_19),X_19)) ),[0],$fot(rd(rd(i(X_19),X_77),i(X_19)))]]) ).

cnf(refute_0_590,plain,
    ( i(ld(ld(X_77,X_19),X_19)) != rd(rd(i(X_19),X_77),i(X_19))
    | i(ld(ld(X_77,X_19),X_19)) = ld(mult(X_77,X_19),X_19) ),
    inference(resolve,[$cnf( $equal(rd(rd(i(X_19),X_77),i(X_19)),ld(mult(X_77,X_19),X_19)) )],[refute_0_588,refute_0_589]) ).

cnf(refute_0_591,plain,
    ( i(rd(i(ld(X_77,X_19)),i(X_19))) != rd(rd(i(X_19),X_77),i(X_19))
    | i(ld(ld(X_77,X_19),X_19)) = ld(mult(X_77,X_19),X_19) ),
    inference(resolve,[$cnf( $equal(i(ld(ld(X_77,X_19),X_19)),rd(rd(i(X_19),X_77),i(X_19))) )],[refute_0_571,refute_0_590]) ).

cnf(refute_0_592,plain,
    i(ld(ld(X_77,X_19),X_19)) = ld(mult(X_77,X_19),X_19),
    inference(resolve,[$cnf( $equal(i(rd(i(ld(X_77,X_19)),i(X_19))),rd(rd(i(X_19),X_77),i(X_19))) )],[refute_0_556,refute_0_591]) ).

cnf(refute_0_593,plain,
    i(ld(ld(X_19,X_117),X_117)) = ld(mult(X_19,X_117),X_117),
    inference(subst,[],[refute_0_592:[bind(X_19,$fot(X_117)),bind(X_77,$fot(X_19))]]) ).

cnf(refute_0_594,plain,
    ld(i(i(X_39)),rd(X_103,i(X_39))) = rd(mult(i(X_39),X_103),i(X_39)),
    inference(subst,[],[refute_0_339:[bind(X_100,$fot(i(X_39))),bind(X_101,$fot(X_103))]]) ).

cnf(refute_0_595,plain,
    rd(X_103,i(X_39)) = ld(i(X_103),X_39),
    inference(subst,[],[refute_0_314:[bind(X_19,$fot(X_103))]]) ).

cnf(refute_0_596,plain,
    ( ld(i(i(X_39)),rd(X_103,i(X_39))) != rd(mult(i(X_39),X_103),i(X_39))
    | rd(X_103,i(X_39)) != ld(i(X_103),X_39)
    | ld(i(i(X_39)),ld(i(X_103),X_39)) = rd(mult(i(X_39),X_103),i(X_39)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(i(i(X_39)),rd(X_103,i(X_39))),rd(mult(i(X_39),X_103),i(X_39))) ),[0,1],$fot(ld(i(X_103),X_39))]]) ).

cnf(refute_0_597,plain,
    ( ld(i(i(X_39)),rd(X_103,i(X_39))) != rd(mult(i(X_39),X_103),i(X_39))
    | ld(i(i(X_39)),ld(i(X_103),X_39)) = rd(mult(i(X_39),X_103),i(X_39)) ),
    inference(resolve,[$cnf( $equal(rd(X_103,i(X_39)),ld(i(X_103),X_39)) )],[refute_0_595,refute_0_596]) ).

cnf(refute_0_598,plain,
    ld(i(i(X_39)),ld(i(X_103),X_39)) = rd(mult(i(X_39),X_103),i(X_39)),
    inference(resolve,[$cnf( $equal(ld(i(i(X_39)),rd(X_103,i(X_39))),rd(mult(i(X_39),X_103),i(X_39))) )],[refute_0_594,refute_0_597]) ).

cnf(refute_0_599,plain,
    i(i(ld(X_61,ld(X_60,X_61)))) = ld(X_61,ld(X_60,X_61)),
    inference(subst,[],[refute_0_52:[bind(X_4,$fot(ld(X_61,ld(X_60,X_61))))]]) ).

cnf(refute_0_600,plain,
    i(ld(X_61,ld(X_60,X_61))) = ld(X_61,mult(X_60,X_61)),
    inference(subst,[],[refute_0_446:[bind(X_58,$fot(X_60)),bind(X_59,$fot(X_61))]]) ).

cnf(refute_0_601,plain,
    ( i(i(ld(X_61,ld(X_60,X_61)))) != ld(X_61,ld(X_60,X_61))
    | i(ld(X_61,ld(X_60,X_61))) != ld(X_61,mult(X_60,X_61))
    | i(ld(X_61,mult(X_60,X_61))) = ld(X_61,ld(X_60,X_61)) ),
    introduced(tautology,[equality,[$cnf( $equal(i(i(ld(X_61,ld(X_60,X_61)))),ld(X_61,ld(X_60,X_61))) ),[0,0],$fot(ld(X_61,mult(X_60,X_61)))]]) ).

cnf(refute_0_602,plain,
    ( i(i(ld(X_61,ld(X_60,X_61)))) != ld(X_61,ld(X_60,X_61))
    | i(ld(X_61,mult(X_60,X_61))) = ld(X_61,ld(X_60,X_61)) ),
    inference(resolve,[$cnf( $equal(i(ld(X_61,ld(X_60,X_61))),ld(X_61,mult(X_60,X_61))) )],[refute_0_600,refute_0_601]) ).

cnf(refute_0_603,plain,
    i(ld(X_61,mult(X_60,X_61))) = ld(X_61,ld(X_60,X_61)),
    inference(resolve,[$cnf( $equal(i(i(ld(X_61,ld(X_60,X_61)))),ld(X_61,ld(X_60,X_61))) )],[refute_0_599,refute_0_602]) ).

cnf(refute_0_604,plain,
    i(ld(X_63,mult(i(X_19),X_63))) = ld(X_63,ld(i(X_19),X_63)),
    inference(subst,[],[refute_0_603:[bind(X_60,$fot(i(X_19))),bind(X_61,$fot(X_63))]]) ).

cnf(refute_0_605,plain,
    mult(i(X_19),X_63) = i(ld(X_63,X_19)),
    inference(subst,[],[refute_0_109:[bind(X_13,$fot(X_63))]]) ).

cnf(refute_0_606,plain,
    ( i(ld(X_63,mult(i(X_19),X_63))) != ld(X_63,ld(i(X_19),X_63))
    | mult(i(X_19),X_63) != i(ld(X_63,X_19))
    | i(ld(X_63,i(ld(X_63,X_19)))) = ld(X_63,ld(i(X_19),X_63)) ),
    introduced(tautology,[equality,[$cnf( $equal(i(ld(X_63,mult(i(X_19),X_63))),ld(X_63,ld(i(X_19),X_63))) ),[0,0,1],$fot(i(ld(X_63,X_19)))]]) ).

cnf(refute_0_607,plain,
    ( i(ld(X_63,mult(i(X_19),X_63))) != ld(X_63,ld(i(X_19),X_63))
    | i(ld(X_63,i(ld(X_63,X_19)))) = ld(X_63,ld(i(X_19),X_63)) ),
    inference(resolve,[$cnf( $equal(mult(i(X_19),X_63),i(ld(X_63,X_19))) )],[refute_0_605,refute_0_606]) ).

cnf(refute_0_608,plain,
    i(ld(X_63,i(ld(X_63,X_19)))) = ld(X_63,ld(i(X_19),X_63)),
    inference(resolve,[$cnf( $equal(i(ld(X_63,mult(i(X_19),X_63))),ld(X_63,ld(i(X_19),X_63))) )],[refute_0_604,refute_0_607]) ).

cnf(refute_0_609,plain,
    i(i(mult(ld(X_63,X_19),X_63))) = mult(ld(X_63,X_19),X_63),
    inference(subst,[],[refute_0_52:[bind(X_4,$fot(mult(ld(X_63,X_19),X_63)))]]) ).

cnf(refute_0_610,plain,
    ld(X_63,i(ld(X_63,X_19))) = i(mult(ld(X_63,X_19),X_63)),
    inference(subst,[],[refute_0_222:[bind(A,$fot(ld(X_63,X_19))),bind(X_26,$fot(X_63))]]) ).

cnf(refute_0_611,plain,
    i(ld(X_63,i(ld(X_63,X_19)))) = i(ld(X_63,i(ld(X_63,X_19)))),
    introduced(tautology,[refl,[$fot(i(ld(X_63,i(ld(X_63,X_19)))))]]) ).

cnf(refute_0_612,plain,
    ( i(ld(X_63,i(ld(X_63,X_19)))) != i(ld(X_63,i(ld(X_63,X_19))))
    | ld(X_63,i(ld(X_63,X_19))) != i(mult(ld(X_63,X_19),X_63))
    | i(ld(X_63,i(ld(X_63,X_19)))) = i(i(mult(ld(X_63,X_19),X_63))) ),
    introduced(tautology,[equality,[$cnf( $equal(i(ld(X_63,i(ld(X_63,X_19)))),i(ld(X_63,i(ld(X_63,X_19))))) ),[1,0],$fot(i(mult(ld(X_63,X_19),X_63)))]]) ).

cnf(refute_0_613,plain,
    ( ld(X_63,i(ld(X_63,X_19))) != i(mult(ld(X_63,X_19),X_63))
    | i(ld(X_63,i(ld(X_63,X_19)))) = i(i(mult(ld(X_63,X_19),X_63))) ),
    inference(resolve,[$cnf( $equal(i(ld(X_63,i(ld(X_63,X_19)))),i(ld(X_63,i(ld(X_63,X_19))))) )],[refute_0_611,refute_0_612]) ).

cnf(refute_0_614,plain,
    i(ld(X_63,i(ld(X_63,X_19)))) = i(i(mult(ld(X_63,X_19),X_63))),
    inference(resolve,[$cnf( $equal(ld(X_63,i(ld(X_63,X_19))),i(mult(ld(X_63,X_19),X_63))) )],[refute_0_610,refute_0_613]) ).

cnf(refute_0_615,plain,
    ( i(i(mult(ld(X_63,X_19),X_63))) != mult(ld(X_63,X_19),X_63)
    | i(ld(X_63,i(ld(X_63,X_19)))) != i(i(mult(ld(X_63,X_19),X_63)))
    | i(ld(X_63,i(ld(X_63,X_19)))) = mult(ld(X_63,X_19),X_63) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(i(ld(X_63,i(ld(X_63,X_19)))))),bind(Y,$fot(i(i(mult(ld(X_63,X_19),X_63))))),bind(Z,$fot(mult(ld(X_63,X_19),X_63)))]]) ).

cnf(refute_0_616,plain,
    ( i(i(mult(ld(X_63,X_19),X_63))) != mult(ld(X_63,X_19),X_63)
    | i(ld(X_63,i(ld(X_63,X_19)))) = mult(ld(X_63,X_19),X_63) ),
    inference(resolve,[$cnf( $equal(i(ld(X_63,i(ld(X_63,X_19)))),i(i(mult(ld(X_63,X_19),X_63)))) )],[refute_0_614,refute_0_615]) ).

cnf(refute_0_617,plain,
    i(ld(X_63,i(ld(X_63,X_19)))) = mult(ld(X_63,X_19),X_63),
    inference(resolve,[$cnf( $equal(i(i(mult(ld(X_63,X_19),X_63))),mult(ld(X_63,X_19),X_63)) )],[refute_0_609,refute_0_616]) ).

cnf(refute_0_618,plain,
    ( i(ld(X_63,i(ld(X_63,X_19)))) != ld(X_63,ld(i(X_19),X_63))
    | i(ld(X_63,i(ld(X_63,X_19)))) != mult(ld(X_63,X_19),X_63)
    | mult(ld(X_63,X_19),X_63) = ld(X_63,ld(i(X_19),X_63)) ),
    introduced(tautology,[equality,[$cnf( $equal(i(ld(X_63,i(ld(X_63,X_19)))),ld(X_63,ld(i(X_19),X_63))) ),[0],$fot(mult(ld(X_63,X_19),X_63))]]) ).

cnf(refute_0_619,plain,
    ( i(ld(X_63,i(ld(X_63,X_19)))) != ld(X_63,ld(i(X_19),X_63))
    | mult(ld(X_63,X_19),X_63) = ld(X_63,ld(i(X_19),X_63)) ),
    inference(resolve,[$cnf( $equal(i(ld(X_63,i(ld(X_63,X_19)))),mult(ld(X_63,X_19),X_63)) )],[refute_0_617,refute_0_618]) ).

cnf(refute_0_620,plain,
    mult(ld(X_63,X_19),X_63) = ld(X_63,ld(i(X_19),X_63)),
    inference(resolve,[$cnf( $equal(i(ld(X_63,i(ld(X_63,X_19)))),ld(X_63,ld(i(X_19),X_63))) )],[refute_0_608,refute_0_619]) ).

cnf(refute_0_621,plain,
    ( mult(ld(X_63,X_19),X_63) != ld(X_63,ld(i(X_19),X_63))
    | ld(X_63,ld(i(X_19),X_63)) = mult(ld(X_63,X_19),X_63) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(mult(ld(X_63,X_19),X_63))),bind(Y,$fot(ld(X_63,ld(i(X_19),X_63))))]]) ).

cnf(refute_0_622,plain,
    ld(X_63,ld(i(X_19),X_63)) = mult(ld(X_63,X_19),X_63),
    inference(resolve,[$cnf( $equal(mult(ld(X_63,X_19),X_63),ld(X_63,ld(i(X_19),X_63))) )],[refute_0_620,refute_0_621]) ).

cnf(refute_0_623,plain,
    ld(X_39,ld(i(X_103),X_39)) = mult(ld(X_39,X_103),X_39),
    inference(subst,[],[refute_0_622:[bind(X_19,$fot(X_103)),bind(X_63,$fot(X_39))]]) ).

cnf(refute_0_624,plain,
    i(i(X_39)) = X_39,
    inference(subst,[],[refute_0_52:[bind(X_4,$fot(X_39))]]) ).

cnf(refute_0_625,plain,
    ld(i(i(X_39)),ld(i(X_103),X_39)) = ld(i(i(X_39)),ld(i(X_103),X_39)),
    introduced(tautology,[refl,[$fot(ld(i(i(X_39)),ld(i(X_103),X_39)))]]) ).

cnf(refute_0_626,plain,
    ( i(i(X_39)) != X_39
    | ld(i(i(X_39)),ld(i(X_103),X_39)) != ld(i(i(X_39)),ld(i(X_103),X_39))
    | ld(i(i(X_39)),ld(i(X_103),X_39)) = ld(X_39,ld(i(X_103),X_39)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(i(i(X_39)),ld(i(X_103),X_39)),ld(i(i(X_39)),ld(i(X_103),X_39))) ),[1,0],$fot(X_39)]]) ).

cnf(refute_0_627,plain,
    ( i(i(X_39)) != X_39
    | ld(i(i(X_39)),ld(i(X_103),X_39)) = ld(X_39,ld(i(X_103),X_39)) ),
    inference(resolve,[$cnf( $equal(ld(i(i(X_39)),ld(i(X_103),X_39)),ld(i(i(X_39)),ld(i(X_103),X_39))) )],[refute_0_625,refute_0_626]) ).

cnf(refute_0_628,plain,
    ld(i(i(X_39)),ld(i(X_103),X_39)) = ld(X_39,ld(i(X_103),X_39)),
    inference(resolve,[$cnf( $equal(i(i(X_39)),X_39) )],[refute_0_624,refute_0_627]) ).

cnf(refute_0_629,plain,
    ( ld(X_39,ld(i(X_103),X_39)) != mult(ld(X_39,X_103),X_39)
    | ld(i(i(X_39)),ld(i(X_103),X_39)) != ld(X_39,ld(i(X_103),X_39))
    | ld(i(i(X_39)),ld(i(X_103),X_39)) = mult(ld(X_39,X_103),X_39) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(ld(i(i(X_39)),ld(i(X_103),X_39)))),bind(Y,$fot(ld(X_39,ld(i(X_103),X_39)))),bind(Z,$fot(mult(ld(X_39,X_103),X_39)))]]) ).

cnf(refute_0_630,plain,
    ( ld(X_39,ld(i(X_103),X_39)) != mult(ld(X_39,X_103),X_39)
    | ld(i(i(X_39)),ld(i(X_103),X_39)) = mult(ld(X_39,X_103),X_39) ),
    inference(resolve,[$cnf( $equal(ld(i(i(X_39)),ld(i(X_103),X_39)),ld(X_39,ld(i(X_103),X_39))) )],[refute_0_628,refute_0_629]) ).

cnf(refute_0_631,plain,
    ld(i(i(X_39)),ld(i(X_103),X_39)) = mult(ld(X_39,X_103),X_39),
    inference(resolve,[$cnf( $equal(ld(X_39,ld(i(X_103),X_39)),mult(ld(X_39,X_103),X_39)) )],[refute_0_623,refute_0_630]) ).

cnf(refute_0_632,plain,
    ( ld(i(i(X_39)),ld(i(X_103),X_39)) != mult(ld(X_39,X_103),X_39)
    | ld(i(i(X_39)),ld(i(X_103),X_39)) != rd(mult(i(X_39),X_103),i(X_39))
    | mult(ld(X_39,X_103),X_39) = rd(mult(i(X_39),X_103),i(X_39)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(i(i(X_39)),ld(i(X_103),X_39)),rd(mult(i(X_39),X_103),i(X_39))) ),[0],$fot(mult(ld(X_39,X_103),X_39))]]) ).

cnf(refute_0_633,plain,
    ( ld(i(i(X_39)),ld(i(X_103),X_39)) != rd(mult(i(X_39),X_103),i(X_39))
    | mult(ld(X_39,X_103),X_39) = rd(mult(i(X_39),X_103),i(X_39)) ),
    inference(resolve,[$cnf( $equal(ld(i(i(X_39)),ld(i(X_103),X_39)),mult(ld(X_39,X_103),X_39)) )],[refute_0_631,refute_0_632]) ).

cnf(refute_0_634,plain,
    i(i(ld(X_103,X_39))) = ld(X_103,X_39),
    inference(subst,[],[refute_0_52:[bind(X_4,$fot(ld(X_103,X_39)))]]) ).

cnf(refute_0_635,plain,
    mult(i(X_39),X_103) = i(ld(X_103,X_39)),
    inference(subst,[],[refute_0_109:[bind(X_13,$fot(X_103)),bind(X_19,$fot(X_39))]]) ).

cnf(refute_0_636,plain,
    i(mult(i(X_39),X_103)) = i(mult(i(X_39),X_103)),
    introduced(tautology,[refl,[$fot(i(mult(i(X_39),X_103)))]]) ).

cnf(refute_0_637,plain,
    ( i(mult(i(X_39),X_103)) != i(mult(i(X_39),X_103))
    | mult(i(X_39),X_103) != i(ld(X_103,X_39))
    | i(mult(i(X_39),X_103)) = i(i(ld(X_103,X_39))) ),
    introduced(tautology,[equality,[$cnf( $equal(i(mult(i(X_39),X_103)),i(mult(i(X_39),X_103))) ),[1,0],$fot(i(ld(X_103,X_39)))]]) ).

cnf(refute_0_638,plain,
    ( mult(i(X_39),X_103) != i(ld(X_103,X_39))
    | i(mult(i(X_39),X_103)) = i(i(ld(X_103,X_39))) ),
    inference(resolve,[$cnf( $equal(i(mult(i(X_39),X_103)),i(mult(i(X_39),X_103))) )],[refute_0_636,refute_0_637]) ).

cnf(refute_0_639,plain,
    i(mult(i(X_39),X_103)) = i(i(ld(X_103,X_39))),
    inference(resolve,[$cnf( $equal(mult(i(X_39),X_103),i(ld(X_103,X_39))) )],[refute_0_635,refute_0_638]) ).

cnf(refute_0_640,plain,
    ( i(i(ld(X_103,X_39))) != ld(X_103,X_39)
    | i(mult(i(X_39),X_103)) != i(i(ld(X_103,X_39)))
    | i(mult(i(X_39),X_103)) = ld(X_103,X_39) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(i(mult(i(X_39),X_103)))),bind(Y,$fot(i(i(ld(X_103,X_39))))),bind(Z,$fot(ld(X_103,X_39)))]]) ).

cnf(refute_0_641,plain,
    ( i(i(ld(X_103,X_39))) != ld(X_103,X_39)
    | i(mult(i(X_39),X_103)) = ld(X_103,X_39) ),
    inference(resolve,[$cnf( $equal(i(mult(i(X_39),X_103)),i(i(ld(X_103,X_39)))) )],[refute_0_639,refute_0_640]) ).

cnf(refute_0_642,plain,
    i(mult(i(X_39),X_103)) = ld(X_103,X_39),
    inference(resolve,[$cnf( $equal(i(i(ld(X_103,X_39))),ld(X_103,X_39)) )],[refute_0_634,refute_0_641]) ).

cnf(refute_0_643,plain,
    ld(i(mult(i(X_39),X_103)),X_39) = ld(i(mult(i(X_39),X_103)),X_39),
    introduced(tautology,[refl,[$fot(ld(i(mult(i(X_39),X_103)),X_39))]]) ).

cnf(refute_0_644,plain,
    ( i(mult(i(X_39),X_103)) != ld(X_103,X_39)
    | ld(i(mult(i(X_39),X_103)),X_39) != ld(i(mult(i(X_39),X_103)),X_39)
    | ld(i(mult(i(X_39),X_103)),X_39) = ld(ld(X_103,X_39),X_39) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(i(mult(i(X_39),X_103)),X_39),ld(i(mult(i(X_39),X_103)),X_39)) ),[1,0],$fot(ld(X_103,X_39))]]) ).

cnf(refute_0_645,plain,
    ( i(mult(i(X_39),X_103)) != ld(X_103,X_39)
    | ld(i(mult(i(X_39),X_103)),X_39) = ld(ld(X_103,X_39),X_39) ),
    inference(resolve,[$cnf( $equal(ld(i(mult(i(X_39),X_103)),X_39),ld(i(mult(i(X_39),X_103)),X_39)) )],[refute_0_643,refute_0_644]) ).

cnf(refute_0_646,plain,
    ld(i(mult(i(X_39),X_103)),X_39) = ld(ld(X_103,X_39),X_39),
    inference(resolve,[$cnf( $equal(i(mult(i(X_39),X_103)),ld(X_103,X_39)) )],[refute_0_642,refute_0_645]) ).

cnf(refute_0_647,plain,
    rd(mult(i(X_39),X_103),i(X_39)) = ld(i(mult(i(X_39),X_103)),X_39),
    inference(subst,[],[refute_0_314:[bind(X_19,$fot(mult(i(X_39),X_103)))]]) ).

cnf(refute_0_648,plain,
    ( ld(i(mult(i(X_39),X_103)),X_39) != ld(ld(X_103,X_39),X_39)
    | rd(mult(i(X_39),X_103),i(X_39)) != ld(i(mult(i(X_39),X_103)),X_39)
    | rd(mult(i(X_39),X_103),i(X_39)) = ld(ld(X_103,X_39),X_39) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(rd(mult(i(X_39),X_103),i(X_39)))),bind(Y,$fot(ld(i(mult(i(X_39),X_103)),X_39))),bind(Z,$fot(ld(ld(X_103,X_39),X_39)))]]) ).

cnf(refute_0_649,plain,
    ( ld(i(mult(i(X_39),X_103)),X_39) != ld(ld(X_103,X_39),X_39)
    | rd(mult(i(X_39),X_103),i(X_39)) = ld(ld(X_103,X_39),X_39) ),
    inference(resolve,[$cnf( $equal(rd(mult(i(X_39),X_103),i(X_39)),ld(i(mult(i(X_39),X_103)),X_39)) )],[refute_0_647,refute_0_648]) ).

cnf(refute_0_650,plain,
    rd(mult(i(X_39),X_103),i(X_39)) = ld(ld(X_103,X_39),X_39),
    inference(resolve,[$cnf( $equal(ld(i(mult(i(X_39),X_103)),X_39),ld(ld(X_103,X_39),X_39)) )],[refute_0_646,refute_0_649]) ).

cnf(refute_0_651,plain,
    ( mult(ld(X_39,X_103),X_39) != rd(mult(i(X_39),X_103),i(X_39))
    | rd(mult(i(X_39),X_103),i(X_39)) != ld(ld(X_103,X_39),X_39)
    | mult(ld(X_39,X_103),X_39) = ld(ld(X_103,X_39),X_39) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(mult(ld(X_39,X_103),X_39),ld(ld(X_103,X_39),X_39)) ),[0],$fot(rd(mult(i(X_39),X_103),i(X_39)))]]) ).

cnf(refute_0_652,plain,
    ( mult(ld(X_39,X_103),X_39) != rd(mult(i(X_39),X_103),i(X_39))
    | mult(ld(X_39,X_103),X_39) = ld(ld(X_103,X_39),X_39) ),
    inference(resolve,[$cnf( $equal(rd(mult(i(X_39),X_103),i(X_39)),ld(ld(X_103,X_39),X_39)) )],[refute_0_650,refute_0_651]) ).

cnf(refute_0_653,plain,
    ( ld(i(i(X_39)),ld(i(X_103),X_39)) != rd(mult(i(X_39),X_103),i(X_39))
    | mult(ld(X_39,X_103),X_39) = ld(ld(X_103,X_39),X_39) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_39,X_103),X_39),rd(mult(i(X_39),X_103),i(X_39))) )],[refute_0_633,refute_0_652]) ).

cnf(refute_0_654,plain,
    mult(ld(X_39,X_103),X_39) = ld(ld(X_103,X_39),X_39),
    inference(resolve,[$cnf( $equal(ld(i(i(X_39)),ld(i(X_103),X_39)),rd(mult(i(X_39),X_103),i(X_39))) )],[refute_0_598,refute_0_653]) ).

cnf(refute_0_655,plain,
    mult(ld(X_117,X_19),X_117) = ld(ld(X_19,X_117),X_117),
    inference(subst,[],[refute_0_654:[bind(X_103,$fot(X_19)),bind(X_39,$fot(X_117))]]) ).

cnf(refute_0_656,plain,
    i(mult(ld(X_117,X_19),X_117)) = i(mult(ld(X_117,X_19),X_117)),
    introduced(tautology,[refl,[$fot(i(mult(ld(X_117,X_19),X_117)))]]) ).

cnf(refute_0_657,plain,
    ( i(mult(ld(X_117,X_19),X_117)) != i(mult(ld(X_117,X_19),X_117))
    | mult(ld(X_117,X_19),X_117) != ld(ld(X_19,X_117),X_117)
    | i(mult(ld(X_117,X_19),X_117)) = i(ld(ld(X_19,X_117),X_117)) ),
    introduced(tautology,[equality,[$cnf( $equal(i(mult(ld(X_117,X_19),X_117)),i(mult(ld(X_117,X_19),X_117))) ),[1,0],$fot(ld(ld(X_19,X_117),X_117))]]) ).

cnf(refute_0_658,plain,
    ( mult(ld(X_117,X_19),X_117) != ld(ld(X_19,X_117),X_117)
    | i(mult(ld(X_117,X_19),X_117)) = i(ld(ld(X_19,X_117),X_117)) ),
    inference(resolve,[$cnf( $equal(i(mult(ld(X_117,X_19),X_117)),i(mult(ld(X_117,X_19),X_117))) )],[refute_0_656,refute_0_657]) ).

cnf(refute_0_659,plain,
    i(mult(ld(X_117,X_19),X_117)) = i(ld(ld(X_19,X_117),X_117)),
    inference(resolve,[$cnf( $equal(mult(ld(X_117,X_19),X_117),ld(ld(X_19,X_117),X_117)) )],[refute_0_655,refute_0_658]) ).

cnf(refute_0_660,plain,
    ( i(ld(ld(X_19,X_117),X_117)) != ld(mult(X_19,X_117),X_117)
    | i(mult(ld(X_117,X_19),X_117)) != i(ld(ld(X_19,X_117),X_117))
    | i(mult(ld(X_117,X_19),X_117)) = ld(mult(X_19,X_117),X_117) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(i(mult(ld(X_117,X_19),X_117)))),bind(Y,$fot(i(ld(ld(X_19,X_117),X_117)))),bind(Z,$fot(ld(mult(X_19,X_117),X_117)))]]) ).

cnf(refute_0_661,plain,
    ( i(ld(ld(X_19,X_117),X_117)) != ld(mult(X_19,X_117),X_117)
    | i(mult(ld(X_117,X_19),X_117)) = ld(mult(X_19,X_117),X_117) ),
    inference(resolve,[$cnf( $equal(i(mult(ld(X_117,X_19),X_117)),i(ld(ld(X_19,X_117),X_117))) )],[refute_0_659,refute_0_660]) ).

cnf(refute_0_662,plain,
    i(mult(ld(X_117,X_19),X_117)) = ld(mult(X_19,X_117),X_117),
    inference(resolve,[$cnf( $equal(i(ld(ld(X_19,X_117),X_117)),ld(mult(X_19,X_117),X_117)) )],[refute_0_593,refute_0_661]) ).

cnf(refute_0_663,plain,
    ld(X_117,i(ld(X_117,X_19))) = i(mult(ld(X_117,X_19),X_117)),
    inference(subst,[],[refute_0_222:[bind(A,$fot(ld(X_117,X_19))),bind(X_26,$fot(X_117))]]) ).

cnf(refute_0_664,plain,
    ( i(mult(ld(X_117,X_19),X_117)) != ld(mult(X_19,X_117),X_117)
    | ld(X_117,i(ld(X_117,X_19))) != i(mult(ld(X_117,X_19),X_117))
    | ld(X_117,i(ld(X_117,X_19))) = ld(mult(X_19,X_117),X_117) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(ld(X_117,i(ld(X_117,X_19))))),bind(Y,$fot(i(mult(ld(X_117,X_19),X_117)))),bind(Z,$fot(ld(mult(X_19,X_117),X_117)))]]) ).

cnf(refute_0_665,plain,
    ( i(mult(ld(X_117,X_19),X_117)) != ld(mult(X_19,X_117),X_117)
    | ld(X_117,i(ld(X_117,X_19))) = ld(mult(X_19,X_117),X_117) ),
    inference(resolve,[$cnf( $equal(ld(X_117,i(ld(X_117,X_19))),i(mult(ld(X_117,X_19),X_117))) )],[refute_0_663,refute_0_664]) ).

cnf(refute_0_666,plain,
    ld(X_117,i(ld(X_117,X_19))) = ld(mult(X_19,X_117),X_117),
    inference(resolve,[$cnf( $equal(i(mult(ld(X_117,X_19),X_117)),ld(mult(X_19,X_117),X_117)) )],[refute_0_662,refute_0_665]) ).

cnf(refute_0_667,plain,
    rd(mult(X_115,X_117),ld(X_117,i(ld(X_117,X_19)))) = rd(mult(X_115,X_117),ld(X_117,i(ld(X_117,X_19)))),
    introduced(tautology,[refl,[$fot(rd(mult(X_115,X_117),ld(X_117,i(ld(X_117,X_19)))))]]) ).

cnf(refute_0_668,plain,
    ( ld(X_117,i(ld(X_117,X_19))) != ld(mult(X_19,X_117),X_117)
    | rd(mult(X_115,X_117),ld(X_117,i(ld(X_117,X_19)))) != rd(mult(X_115,X_117),ld(X_117,i(ld(X_117,X_19))))
    | rd(mult(X_115,X_117),ld(X_117,i(ld(X_117,X_19)))) = rd(mult(X_115,X_117),ld(mult(X_19,X_117),X_117)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_115,X_117),ld(X_117,i(ld(X_117,X_19)))),rd(mult(X_115,X_117),ld(X_117,i(ld(X_117,X_19))))) ),[1,1],$fot(ld(mult(X_19,X_117),X_117))]]) ).

cnf(refute_0_669,plain,
    ( ld(X_117,i(ld(X_117,X_19))) != ld(mult(X_19,X_117),X_117)
    | rd(mult(X_115,X_117),ld(X_117,i(ld(X_117,X_19)))) = rd(mult(X_115,X_117),ld(mult(X_19,X_117),X_117)) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_115,X_117),ld(X_117,i(ld(X_117,X_19)))),rd(mult(X_115,X_117),ld(X_117,i(ld(X_117,X_19))))) )],[refute_0_667,refute_0_668]) ).

cnf(refute_0_670,plain,
    rd(mult(X_115,X_117),ld(X_117,i(ld(X_117,X_19)))) = rd(mult(X_115,X_117),ld(mult(X_19,X_117),X_117)),
    inference(resolve,[$cnf( $equal(ld(X_117,i(ld(X_117,X_19))),ld(mult(X_19,X_117),X_117)) )],[refute_0_666,refute_0_669]) ).

cnf(refute_0_671,plain,
    ( rd(mult(X_115,X_117),ld(X_117,i(ld(X_117,X_19)))) != mult(rd(X_115,i(X_19)),X_117)
    | rd(mult(X_115,X_117),ld(X_117,i(ld(X_117,X_19)))) != rd(mult(X_115,X_117),ld(mult(X_19,X_117),X_117))
    | rd(mult(X_115,X_117),ld(mult(X_19,X_117),X_117)) = mult(rd(X_115,i(X_19)),X_117) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_115,X_117),ld(X_117,i(ld(X_117,X_19)))),mult(rd(X_115,i(X_19)),X_117)) ),[0],$fot(rd(mult(X_115,X_117),ld(mult(X_19,X_117),X_117)))]]) ).

cnf(refute_0_672,plain,
    ( rd(mult(X_115,X_117),ld(X_117,i(ld(X_117,X_19)))) != mult(rd(X_115,i(X_19)),X_117)
    | rd(mult(X_115,X_117),ld(mult(X_19,X_117),X_117)) = mult(rd(X_115,i(X_19)),X_117) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_115,X_117),ld(X_117,i(ld(X_117,X_19)))),rd(mult(X_115,X_117),ld(mult(X_19,X_117),X_117))) )],[refute_0_670,refute_0_671]) ).

cnf(refute_0_673,plain,
    rd(X_115,i(X_19)) = ld(i(X_115),X_19),
    inference(subst,[],[refute_0_314:[bind(X_19,$fot(X_115)),bind(X_39,$fot(X_19))]]) ).

cnf(refute_0_674,plain,
    mult(rd(X_115,i(X_19)),X_117) = mult(rd(X_115,i(X_19)),X_117),
    introduced(tautology,[refl,[$fot(mult(rd(X_115,i(X_19)),X_117))]]) ).

cnf(refute_0_675,plain,
    ( mult(rd(X_115,i(X_19)),X_117) != mult(rd(X_115,i(X_19)),X_117)
    | rd(X_115,i(X_19)) != ld(i(X_115),X_19)
    | mult(rd(X_115,i(X_19)),X_117) = mult(ld(i(X_115),X_19),X_117) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_115,i(X_19)),X_117),mult(rd(X_115,i(X_19)),X_117)) ),[1,0],$fot(ld(i(X_115),X_19))]]) ).

cnf(refute_0_676,plain,
    ( rd(X_115,i(X_19)) != ld(i(X_115),X_19)
    | mult(rd(X_115,i(X_19)),X_117) = mult(ld(i(X_115),X_19),X_117) ),
    inference(resolve,[$cnf( $equal(mult(rd(X_115,i(X_19)),X_117),mult(rd(X_115,i(X_19)),X_117)) )],[refute_0_674,refute_0_675]) ).

cnf(refute_0_677,plain,
    mult(rd(X_115,i(X_19)),X_117) = mult(ld(i(X_115),X_19),X_117),
    inference(resolve,[$cnf( $equal(rd(X_115,i(X_19)),ld(i(X_115),X_19)) )],[refute_0_673,refute_0_676]) ).

cnf(refute_0_678,plain,
    ( mult(rd(X_115,i(X_19)),X_117) != mult(ld(i(X_115),X_19),X_117)
    | rd(mult(X_115,X_117),ld(mult(X_19,X_117),X_117)) != mult(rd(X_115,i(X_19)),X_117)
    | rd(mult(X_115,X_117),ld(mult(X_19,X_117),X_117)) = mult(ld(i(X_115),X_19),X_117) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_115,X_117),ld(mult(X_19,X_117),X_117)),mult(rd(X_115,i(X_19)),X_117)) ),[1],$fot(mult(ld(i(X_115),X_19),X_117))]]) ).

cnf(refute_0_679,plain,
    ( rd(mult(X_115,X_117),ld(mult(X_19,X_117),X_117)) != mult(rd(X_115,i(X_19)),X_117)
    | rd(mult(X_115,X_117),ld(mult(X_19,X_117),X_117)) = mult(ld(i(X_115),X_19),X_117) ),
    inference(resolve,[$cnf( $equal(mult(rd(X_115,i(X_19)),X_117),mult(ld(i(X_115),X_19),X_117)) )],[refute_0_677,refute_0_678]) ).

cnf(refute_0_680,plain,
    ( rd(mult(X_115,X_117),ld(X_117,i(ld(X_117,X_19)))) != mult(rd(X_115,i(X_19)),X_117)
    | rd(mult(X_115,X_117),ld(mult(X_19,X_117),X_117)) = mult(ld(i(X_115),X_19),X_117) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_115,X_117),ld(mult(X_19,X_117),X_117)),mult(rd(X_115,i(X_19)),X_117)) )],[refute_0_672,refute_0_679]) ).

cnf(refute_0_681,plain,
    rd(mult(X_115,X_117),ld(mult(X_19,X_117),X_117)) = mult(ld(i(X_115),X_19),X_117),
    inference(resolve,[$cnf( $equal(rd(mult(X_115,X_117),ld(X_117,i(ld(X_117,X_19)))),mult(rd(X_115,i(X_19)),X_117)) )],[refute_0_551,refute_0_680]) ).

cnf(refute_0_682,plain,
    rd(mult(A,X_143),ld(mult(A,X_143),X_143)) = mult(ld(i(A),A),X_143),
    inference(subst,[],[refute_0_681:[bind(X_115,$fot(A)),bind(X_117,$fot(X_143)),bind(X_19,$fot(A))]]) ).

cnf(refute_0_683,plain,
    ( mult(ld(i(A),A),X_143) != mult(mult(A,A),X_143)
    | rd(mult(A,X_143),ld(mult(A,X_143),X_143)) != mult(ld(i(A),A),X_143)
    | rd(mult(A,X_143),ld(mult(A,X_143),X_143)) = mult(mult(A,A),X_143) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(rd(mult(A,X_143),ld(mult(A,X_143),X_143)))),bind(Y,$fot(mult(ld(i(A),A),X_143))),bind(Z,$fot(mult(mult(A,A),X_143)))]]) ).

cnf(refute_0_684,plain,
    ( mult(ld(i(A),A),X_143) != mult(mult(A,A),X_143)
    | rd(mult(A,X_143),ld(mult(A,X_143),X_143)) = mult(mult(A,A),X_143) ),
    inference(resolve,[$cnf( $equal(rd(mult(A,X_143),ld(mult(A,X_143),X_143)),mult(ld(i(A),A),X_143)) )],[refute_0_682,refute_0_683]) ).

cnf(refute_0_685,plain,
    rd(mult(A,X_143),ld(mult(A,X_143),X_143)) = mult(mult(A,A),X_143),
    inference(resolve,[$cnf( $equal(mult(ld(i(A),A),X_143),mult(mult(A,A),X_143)) )],[refute_0_537,refute_0_684]) ).

cnf(refute_0_686,plain,
    ( rd(mult(A,X_143),ld(mult(A,X_143),X_143)) != ld(i(A),mult(A,X_143))
    | rd(mult(A,X_143),ld(mult(A,X_143),X_143)) != mult(mult(A,A),X_143)
    | mult(mult(A,A),X_143) = ld(i(A),mult(A,X_143)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(A,X_143),ld(mult(A,X_143),X_143)),ld(i(A),mult(A,X_143))) ),[0],$fot(mult(mult(A,A),X_143))]]) ).

cnf(refute_0_687,plain,
    ( rd(mult(A,X_143),ld(mult(A,X_143),X_143)) != ld(i(A),mult(A,X_143))
    | mult(mult(A,A),X_143) = ld(i(A),mult(A,X_143)) ),
    inference(resolve,[$cnf( $equal(rd(mult(A,X_143),ld(mult(A,X_143),X_143)),mult(mult(A,A),X_143)) )],[refute_0_685,refute_0_686]) ).

cnf(refute_0_688,plain,
    mult(mult(A,A),X_143) = ld(i(A),mult(A,X_143)),
    inference(resolve,[$cnf( $equal(rd(mult(A,X_143),ld(mult(A,X_143),X_143)),ld(i(A),mult(A,X_143))) )],[refute_0_512,refute_0_687]) ).

cnf(refute_0_689,plain,
    ( mult(mult(A,A),X_143) != ld(i(A),mult(A,X_143))
    | ld(i(A),mult(A,X_143)) = mult(mult(A,A),X_143) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(mult(mult(A,A),X_143))),bind(Y,$fot(ld(i(A),mult(A,X_143))))]]) ).

cnf(refute_0_690,plain,
    ld(i(A),mult(A,X_143)) = mult(mult(A,A),X_143),
    inference(resolve,[$cnf( $equal(mult(mult(A,A),X_143),ld(i(A),mult(A,X_143))) )],[refute_0_688,refute_0_689]) ).

cnf(refute_0_691,plain,
    ld(i(X_125),mult(X_125,X_14)) = mult(mult(X_125,X_125),X_14),
    inference(subst,[],[refute_0_690:[bind(A,$fot(X_125)),bind(X_143,$fot(X_14))]]) ).

cnf(refute_0_692,plain,
    ld(X_125,ld(i(X_125),mult(X_125,X_14))) = ld(X_125,ld(i(X_125),mult(X_125,X_14))),
    introduced(tautology,[refl,[$fot(ld(X_125,ld(i(X_125),mult(X_125,X_14))))]]) ).

cnf(refute_0_693,plain,
    ( ld(X_125,ld(i(X_125),mult(X_125,X_14))) != ld(X_125,ld(i(X_125),mult(X_125,X_14)))
    | ld(i(X_125),mult(X_125,X_14)) != mult(mult(X_125,X_125),X_14)
    | ld(X_125,ld(i(X_125),mult(X_125,X_14))) = ld(X_125,mult(mult(X_125,X_125),X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(X_125,ld(i(X_125),mult(X_125,X_14))),ld(X_125,ld(i(X_125),mult(X_125,X_14)))) ),[1,1],$fot(mult(mult(X_125,X_125),X_14))]]) ).

cnf(refute_0_694,plain,
    ( ld(i(X_125),mult(X_125,X_14)) != mult(mult(X_125,X_125),X_14)
    | ld(X_125,ld(i(X_125),mult(X_125,X_14))) = ld(X_125,mult(mult(X_125,X_125),X_14)) ),
    inference(resolve,[$cnf( $equal(ld(X_125,ld(i(X_125),mult(X_125,X_14))),ld(X_125,ld(i(X_125),mult(X_125,X_14)))) )],[refute_0_692,refute_0_693]) ).

cnf(refute_0_695,plain,
    ld(X_125,ld(i(X_125),mult(X_125,X_14))) = ld(X_125,mult(mult(X_125,X_125),X_14)),
    inference(resolve,[$cnf( $equal(ld(i(X_125),mult(X_125,X_14)),mult(mult(X_125,X_125),X_14)) )],[refute_0_691,refute_0_694]) ).

cnf(refute_0_696,plain,
    ( ld(X_125,ld(i(X_125),mult(X_125,X_14))) != ld(X_125,mult(mult(X_125,X_125),X_14))
    | ld(X_125,ld(i(X_125),mult(X_125,X_14))) != ld(i(X_125),X_14)
    | ld(X_125,mult(mult(X_125,X_125),X_14)) = ld(i(X_125),X_14) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(X_125,ld(i(X_125),mult(X_125,X_14))),ld(i(X_125),X_14)) ),[0],$fot(ld(X_125,mult(mult(X_125,X_125),X_14)))]]) ).

cnf(refute_0_697,plain,
    ( ld(X_125,ld(i(X_125),mult(X_125,X_14))) != ld(i(X_125),X_14)
    | ld(X_125,mult(mult(X_125,X_125),X_14)) = ld(i(X_125),X_14) ),
    inference(resolve,[$cnf( $equal(ld(X_125,ld(i(X_125),mult(X_125,X_14))),ld(X_125,mult(mult(X_125,X_125),X_14))) )],[refute_0_695,refute_0_696]) ).

cnf(refute_0_698,plain,
    ld(X_125,mult(mult(X_125,X_125),X_14)) = ld(i(X_125),X_14),
    inference(resolve,[$cnf( $equal(ld(X_125,ld(i(X_125),mult(X_125,X_14))),ld(i(X_125),X_14)) )],[refute_0_420,refute_0_697]) ).

cnf(refute_0_699,plain,
    ld(X_69,mult(mult(X_69,X_69),B)) = ld(i(X_69),B),
    inference(subst,[],[refute_0_698:[bind(X_125,$fot(X_69)),bind(X_14,$fot(B))]]) ).

cnf(refute_0_700,plain,
    rd(mult(X_69,X_69),X_69) = X_69,
    inference(subst,[],[c04:[bind(A,$fot(X_69)),bind(B,$fot(X_69))]]) ).

cnf(refute_0_701,plain,
    i(rd(rd(X_72,rd(X_72,ld(X_72,X_145))),X_72)) = rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72),
    inference(subst,[],[refute_0_75:[bind(X_73,$fot(rd(X_72,ld(X_72,X_145))))]]) ).

cnf(refute_0_702,plain,
    mult(X_64,i(X_4)) = ld(i(X_4),mult(ld(i(i(X_4)),X_64),i(X_4))),
    inference(subst,[],[refute_0_465:[bind(X_37,$fot(X_64)),bind(X_61,$fot(i(X_4)))]]) ).

cnf(refute_0_703,plain,
    ( i(i(X_4)) != X_4
    | mult(X_64,i(X_4)) != ld(i(X_4),mult(ld(i(i(X_4)),X_64),i(X_4)))
    | mult(X_64,i(X_4)) = ld(i(X_4),mult(ld(X_4,X_64),i(X_4))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_64,i(X_4)),ld(i(X_4),mult(ld(i(i(X_4)),X_64),i(X_4)))) ),[1,1,0,0],$fot(X_4)]]) ).

cnf(refute_0_704,plain,
    ( mult(X_64,i(X_4)) != ld(i(X_4),mult(ld(i(i(X_4)),X_64),i(X_4)))
    | mult(X_64,i(X_4)) = ld(i(X_4),mult(ld(X_4,X_64),i(X_4))) ),
    inference(resolve,[$cnf( $equal(i(i(X_4)),X_4) )],[refute_0_52,refute_0_703]) ).

cnf(refute_0_705,plain,
    mult(X_64,i(X_4)) = ld(i(X_4),mult(ld(X_4,X_64),i(X_4))),
    inference(resolve,[$cnf( $equal(mult(X_64,i(X_4)),ld(i(X_4),mult(ld(i(i(X_4)),X_64),i(X_4)))) )],[refute_0_702,refute_0_704]) ).

cnf(refute_0_706,plain,
    mult(X_64,i(X_4)) = i(rd(X_4,X_64)),
    inference(subst,[],[refute_0_25:[bind(A,$fot(X_4)),bind(X_12,$fot(X_64))]]) ).

cnf(refute_0_707,plain,
    ( mult(X_64,i(X_4)) != i(rd(X_4,X_64))
    | mult(X_64,i(X_4)) != ld(i(X_4),mult(ld(X_4,X_64),i(X_4)))
    | i(rd(X_4,X_64)) = ld(i(X_4),mult(ld(X_4,X_64),i(X_4))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_64,i(X_4)),ld(i(X_4),mult(ld(X_4,X_64),i(X_4)))) ),[0],$fot(i(rd(X_4,X_64)))]]) ).

cnf(refute_0_708,plain,
    ( mult(X_64,i(X_4)) != ld(i(X_4),mult(ld(X_4,X_64),i(X_4)))
    | i(rd(X_4,X_64)) = ld(i(X_4),mult(ld(X_4,X_64),i(X_4))) ),
    inference(resolve,[$cnf( $equal(mult(X_64,i(X_4)),i(rd(X_4,X_64))) )],[refute_0_706,refute_0_707]) ).

cnf(refute_0_709,plain,
    i(i(rd(X_4,rd(X_4,ld(X_4,X_64))))) = rd(X_4,rd(X_4,ld(X_4,X_64))),
    inference(subst,[],[refute_0_52:[bind(X_4,$fot(rd(X_4,rd(X_4,ld(X_4,X_64)))))]]) ).

cnf(refute_0_710,plain,
    mult(rd(X_4,ld(X_4,X_64)),i(X_4)) = i(rd(X_4,rd(X_4,ld(X_4,X_64)))),
    inference(subst,[],[refute_0_25:[bind(A,$fot(X_4)),bind(X_12,$fot(rd(X_4,ld(X_4,X_64))))]]) ).

cnf(refute_0_711,plain,
    i(mult(rd(X_4,ld(X_4,X_64)),i(X_4))) = i(mult(rd(X_4,ld(X_4,X_64)),i(X_4))),
    introduced(tautology,[refl,[$fot(i(mult(rd(X_4,ld(X_4,X_64)),i(X_4))))]]) ).

cnf(refute_0_712,plain,
    ( i(mult(rd(X_4,ld(X_4,X_64)),i(X_4))) != i(mult(rd(X_4,ld(X_4,X_64)),i(X_4)))
    | mult(rd(X_4,ld(X_4,X_64)),i(X_4)) != i(rd(X_4,rd(X_4,ld(X_4,X_64))))
    | i(mult(rd(X_4,ld(X_4,X_64)),i(X_4))) = i(i(rd(X_4,rd(X_4,ld(X_4,X_64))))) ),
    introduced(tautology,[equality,[$cnf( $equal(i(mult(rd(X_4,ld(X_4,X_64)),i(X_4))),i(mult(rd(X_4,ld(X_4,X_64)),i(X_4)))) ),[1,0],$fot(i(rd(X_4,rd(X_4,ld(X_4,X_64)))))]]) ).

cnf(refute_0_713,plain,
    ( mult(rd(X_4,ld(X_4,X_64)),i(X_4)) != i(rd(X_4,rd(X_4,ld(X_4,X_64))))
    | i(mult(rd(X_4,ld(X_4,X_64)),i(X_4))) = i(i(rd(X_4,rd(X_4,ld(X_4,X_64))))) ),
    inference(resolve,[$cnf( $equal(i(mult(rd(X_4,ld(X_4,X_64)),i(X_4))),i(mult(rd(X_4,ld(X_4,X_64)),i(X_4)))) )],[refute_0_711,refute_0_712]) ).

cnf(refute_0_714,plain,
    i(mult(rd(X_4,ld(X_4,X_64)),i(X_4))) = i(i(rd(X_4,rd(X_4,ld(X_4,X_64))))),
    inference(resolve,[$cnf( $equal(mult(rd(X_4,ld(X_4,X_64)),i(X_4)),i(rd(X_4,rd(X_4,ld(X_4,X_64))))) )],[refute_0_710,refute_0_713]) ).

cnf(refute_0_715,plain,
    ( i(i(rd(X_4,rd(X_4,ld(X_4,X_64))))) != rd(X_4,rd(X_4,ld(X_4,X_64)))
    | i(mult(rd(X_4,ld(X_4,X_64)),i(X_4))) != i(i(rd(X_4,rd(X_4,ld(X_4,X_64)))))
    | i(mult(rd(X_4,ld(X_4,X_64)),i(X_4))) = rd(X_4,rd(X_4,ld(X_4,X_64))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(i(mult(rd(X_4,ld(X_4,X_64)),i(X_4))))),bind(Y,$fot(i(i(rd(X_4,rd(X_4,ld(X_4,X_64))))))),bind(Z,$fot(rd(X_4,rd(X_4,ld(X_4,X_64)))))]]) ).

cnf(refute_0_716,plain,
    ( i(i(rd(X_4,rd(X_4,ld(X_4,X_64))))) != rd(X_4,rd(X_4,ld(X_4,X_64)))
    | i(mult(rd(X_4,ld(X_4,X_64)),i(X_4))) = rd(X_4,rd(X_4,ld(X_4,X_64))) ),
    inference(resolve,[$cnf( $equal(i(mult(rd(X_4,ld(X_4,X_64)),i(X_4))),i(i(rd(X_4,rd(X_4,ld(X_4,X_64)))))) )],[refute_0_714,refute_0_715]) ).

cnf(refute_0_717,plain,
    i(mult(rd(X_4,ld(X_4,X_64)),i(X_4))) = rd(X_4,rd(X_4,ld(X_4,X_64))),
    inference(resolve,[$cnf( $equal(i(i(rd(X_4,rd(X_4,ld(X_4,X_64))))),rd(X_4,rd(X_4,ld(X_4,X_64)))) )],[refute_0_709,refute_0_716]) ).

cnf(refute_0_718,plain,
    ld(i(X_4),i(rd(X_4,ld(X_4,X_64)))) = i(mult(rd(X_4,ld(X_4,X_64)),i(X_4))),
    inference(subst,[],[refute_0_222:[bind(A,$fot(rd(X_4,ld(X_4,X_64)))),bind(X_26,$fot(i(X_4)))]]) ).

cnf(refute_0_719,plain,
    ( i(mult(rd(X_4,ld(X_4,X_64)),i(X_4))) != rd(X_4,rd(X_4,ld(X_4,X_64)))
    | ld(i(X_4),i(rd(X_4,ld(X_4,X_64)))) != i(mult(rd(X_4,ld(X_4,X_64)),i(X_4)))
    | ld(i(X_4),i(rd(X_4,ld(X_4,X_64)))) = rd(X_4,rd(X_4,ld(X_4,X_64))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(ld(i(X_4),i(rd(X_4,ld(X_4,X_64)))))),bind(Y,$fot(i(mult(rd(X_4,ld(X_4,X_64)),i(X_4))))),bind(Z,$fot(rd(X_4,rd(X_4,ld(X_4,X_64)))))]]) ).

cnf(refute_0_720,plain,
    ( i(mult(rd(X_4,ld(X_4,X_64)),i(X_4))) != rd(X_4,rd(X_4,ld(X_4,X_64)))
    | ld(i(X_4),i(rd(X_4,ld(X_4,X_64)))) = rd(X_4,rd(X_4,ld(X_4,X_64))) ),
    inference(resolve,[$cnf( $equal(ld(i(X_4),i(rd(X_4,ld(X_4,X_64)))),i(mult(rd(X_4,ld(X_4,X_64)),i(X_4)))) )],[refute_0_718,refute_0_719]) ).

cnf(refute_0_721,plain,
    ld(i(X_4),i(rd(X_4,ld(X_4,X_64)))) = rd(X_4,rd(X_4,ld(X_4,X_64))),
    inference(resolve,[$cnf( $equal(i(mult(rd(X_4,ld(X_4,X_64)),i(X_4))),rd(X_4,rd(X_4,ld(X_4,X_64)))) )],[refute_0_717,refute_0_720]) ).

cnf(refute_0_722,plain,
    mult(ld(X_4,X_64),i(X_4)) = i(rd(X_4,ld(X_4,X_64))),
    inference(subst,[],[refute_0_25:[bind(A,$fot(X_4)),bind(X_12,$fot(ld(X_4,X_64)))]]) ).

cnf(refute_0_723,plain,
    ld(i(X_4),mult(ld(X_4,X_64),i(X_4))) = ld(i(X_4),mult(ld(X_4,X_64),i(X_4))),
    introduced(tautology,[refl,[$fot(ld(i(X_4),mult(ld(X_4,X_64),i(X_4))))]]) ).

cnf(refute_0_724,plain,
    ( ld(i(X_4),mult(ld(X_4,X_64),i(X_4))) != ld(i(X_4),mult(ld(X_4,X_64),i(X_4)))
    | mult(ld(X_4,X_64),i(X_4)) != i(rd(X_4,ld(X_4,X_64)))
    | ld(i(X_4),mult(ld(X_4,X_64),i(X_4))) = ld(i(X_4),i(rd(X_4,ld(X_4,X_64)))) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(i(X_4),mult(ld(X_4,X_64),i(X_4))),ld(i(X_4),mult(ld(X_4,X_64),i(X_4)))) ),[1,1],$fot(i(rd(X_4,ld(X_4,X_64))))]]) ).

cnf(refute_0_725,plain,
    ( mult(ld(X_4,X_64),i(X_4)) != i(rd(X_4,ld(X_4,X_64)))
    | ld(i(X_4),mult(ld(X_4,X_64),i(X_4))) = ld(i(X_4),i(rd(X_4,ld(X_4,X_64)))) ),
    inference(resolve,[$cnf( $equal(ld(i(X_4),mult(ld(X_4,X_64),i(X_4))),ld(i(X_4),mult(ld(X_4,X_64),i(X_4)))) )],[refute_0_723,refute_0_724]) ).

cnf(refute_0_726,plain,
    ld(i(X_4),mult(ld(X_4,X_64),i(X_4))) = ld(i(X_4),i(rd(X_4,ld(X_4,X_64)))),
    inference(resolve,[$cnf( $equal(mult(ld(X_4,X_64),i(X_4)),i(rd(X_4,ld(X_4,X_64)))) )],[refute_0_722,refute_0_725]) ).

cnf(refute_0_727,plain,
    ( ld(i(X_4),i(rd(X_4,ld(X_4,X_64)))) != rd(X_4,rd(X_4,ld(X_4,X_64)))
    | ld(i(X_4),mult(ld(X_4,X_64),i(X_4))) != ld(i(X_4),i(rd(X_4,ld(X_4,X_64))))
    | ld(i(X_4),mult(ld(X_4,X_64),i(X_4))) = rd(X_4,rd(X_4,ld(X_4,X_64))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(ld(i(X_4),mult(ld(X_4,X_64),i(X_4))))),bind(Y,$fot(ld(i(X_4),i(rd(X_4,ld(X_4,X_64)))))),bind(Z,$fot(rd(X_4,rd(X_4,ld(X_4,X_64)))))]]) ).

cnf(refute_0_728,plain,
    ( ld(i(X_4),i(rd(X_4,ld(X_4,X_64)))) != rd(X_4,rd(X_4,ld(X_4,X_64)))
    | ld(i(X_4),mult(ld(X_4,X_64),i(X_4))) = rd(X_4,rd(X_4,ld(X_4,X_64))) ),
    inference(resolve,[$cnf( $equal(ld(i(X_4),mult(ld(X_4,X_64),i(X_4))),ld(i(X_4),i(rd(X_4,ld(X_4,X_64))))) )],[refute_0_726,refute_0_727]) ).

cnf(refute_0_729,plain,
    ld(i(X_4),mult(ld(X_4,X_64),i(X_4))) = rd(X_4,rd(X_4,ld(X_4,X_64))),
    inference(resolve,[$cnf( $equal(ld(i(X_4),i(rd(X_4,ld(X_4,X_64)))),rd(X_4,rd(X_4,ld(X_4,X_64)))) )],[refute_0_721,refute_0_728]) ).

cnf(refute_0_730,plain,
    ( i(rd(X_4,X_64)) != ld(i(X_4),mult(ld(X_4,X_64),i(X_4)))
    | ld(i(X_4),mult(ld(X_4,X_64),i(X_4))) != rd(X_4,rd(X_4,ld(X_4,X_64)))
    | i(rd(X_4,X_64)) = rd(X_4,rd(X_4,ld(X_4,X_64))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(i(rd(X_4,X_64)),rd(X_4,rd(X_4,ld(X_4,X_64)))) ),[0],$fot(ld(i(X_4),mult(ld(X_4,X_64),i(X_4))))]]) ).

cnf(refute_0_731,plain,
    ( i(rd(X_4,X_64)) != ld(i(X_4),mult(ld(X_4,X_64),i(X_4)))
    | i(rd(X_4,X_64)) = rd(X_4,rd(X_4,ld(X_4,X_64))) ),
    inference(resolve,[$cnf( $equal(ld(i(X_4),mult(ld(X_4,X_64),i(X_4))),rd(X_4,rd(X_4,ld(X_4,X_64)))) )],[refute_0_729,refute_0_730]) ).

cnf(refute_0_732,plain,
    ( mult(X_64,i(X_4)) != ld(i(X_4),mult(ld(X_4,X_64),i(X_4)))
    | i(rd(X_4,X_64)) = rd(X_4,rd(X_4,ld(X_4,X_64))) ),
    inference(resolve,[$cnf( $equal(i(rd(X_4,X_64)),ld(i(X_4),mult(ld(X_4,X_64),i(X_4)))) )],[refute_0_708,refute_0_731]) ).

cnf(refute_0_733,plain,
    i(rd(X_4,X_64)) = rd(X_4,rd(X_4,ld(X_4,X_64))),
    inference(resolve,[$cnf( $equal(mult(X_64,i(X_4)),ld(i(X_4),mult(ld(X_4,X_64),i(X_4)))) )],[refute_0_705,refute_0_732]) ).

cnf(refute_0_734,plain,
    i(rd(X_72,X_145)) = rd(X_72,rd(X_72,ld(X_72,X_145))),
    inference(subst,[],[refute_0_733:[bind(X_4,$fot(X_72)),bind(X_64,$fot(X_145))]]) ).

cnf(refute_0_735,plain,
    ( i(rd(X_72,X_145)) != rd(X_72,rd(X_72,ld(X_72,X_145)))
    | rd(X_72,rd(X_72,ld(X_72,X_145))) = i(rd(X_72,X_145)) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(i(rd(X_72,X_145)))),bind(Y,$fot(rd(X_72,rd(X_72,ld(X_72,X_145)))))]]) ).

cnf(refute_0_736,plain,
    rd(X_72,rd(X_72,ld(X_72,X_145))) = i(rd(X_72,X_145)),
    inference(resolve,[$cnf( $equal(i(rd(X_72,X_145)),rd(X_72,rd(X_72,ld(X_72,X_145)))) )],[refute_0_734,refute_0_735]) ).

cnf(refute_0_737,plain,
    ( i(rd(rd(X_72,rd(X_72,ld(X_72,X_145))),X_72)) != rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72)
    | rd(X_72,rd(X_72,ld(X_72,X_145))) != i(rd(X_72,X_145))
    | i(rd(i(rd(X_72,X_145)),X_72)) = rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72) ),
    introduced(tautology,[equality,[$cnf( $equal(i(rd(rd(X_72,rd(X_72,ld(X_72,X_145))),X_72)),rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72)) ),[0,0,0],$fot(i(rd(X_72,X_145)))]]) ).

cnf(refute_0_738,plain,
    ( i(rd(rd(X_72,rd(X_72,ld(X_72,X_145))),X_72)) != rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72)
    | i(rd(i(rd(X_72,X_145)),X_72)) = rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72) ),
    inference(resolve,[$cnf( $equal(rd(X_72,rd(X_72,ld(X_72,X_145))),i(rd(X_72,X_145))) )],[refute_0_736,refute_0_737]) ).

cnf(refute_0_739,plain,
    i(rd(i(rd(X_72,X_145)),X_72)) = rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72),
    inference(resolve,[$cnf( $equal(i(rd(rd(X_72,rd(X_72,ld(X_72,X_145))),X_72)),rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72)) )],[refute_0_701,refute_0_738]) ).

cnf(refute_0_740,plain,
    i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)) = rd(rd(X_74,rd(X_74,ld(X_74,X_145))),X_74),
    inference(subst,[],[refute_0_245:[bind(X_75,$fot(rd(X_74,ld(X_74,X_145))))]]) ).

cnf(refute_0_741,plain,
    i(rd(X_74,X_145)) = rd(X_74,rd(X_74,ld(X_74,X_145))),
    inference(subst,[],[refute_0_733:[bind(X_4,$fot(X_74)),bind(X_64,$fot(X_145))]]) ).

cnf(refute_0_742,plain,
    ( i(rd(X_74,X_145)) != rd(X_74,rd(X_74,ld(X_74,X_145)))
    | rd(X_74,rd(X_74,ld(X_74,X_145))) = i(rd(X_74,X_145)) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(i(rd(X_74,X_145)))),bind(Y,$fot(rd(X_74,rd(X_74,ld(X_74,X_145)))))]]) ).

cnf(refute_0_743,plain,
    rd(X_74,rd(X_74,ld(X_74,X_145))) = i(rd(X_74,X_145)),
    inference(resolve,[$cnf( $equal(i(rd(X_74,X_145)),rd(X_74,rd(X_74,ld(X_74,X_145)))) )],[refute_0_741,refute_0_742]) ).

cnf(refute_0_744,plain,
    ( i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)) != rd(rd(X_74,rd(X_74,ld(X_74,X_145))),X_74)
    | rd(X_74,rd(X_74,ld(X_74,X_145))) != i(rd(X_74,X_145))
    | i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)) = rd(i(rd(X_74,X_145)),X_74) ),
    introduced(tautology,[equality,[$cnf( $equal(i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)),rd(rd(X_74,rd(X_74,ld(X_74,X_145))),X_74)) ),[1,0],$fot(i(rd(X_74,X_145)))]]) ).

cnf(refute_0_745,plain,
    ( i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)) != rd(rd(X_74,rd(X_74,ld(X_74,X_145))),X_74)
    | i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)) = rd(i(rd(X_74,X_145)),X_74) ),
    inference(resolve,[$cnf( $equal(rd(X_74,rd(X_74,ld(X_74,X_145))),i(rd(X_74,X_145))) )],[refute_0_743,refute_0_744]) ).

cnf(refute_0_746,plain,
    i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)) = rd(i(rd(X_74,X_145)),X_74),
    inference(resolve,[$cnf( $equal(i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)),rd(rd(X_74,rd(X_74,ld(X_74,X_145))),X_74)) )],[refute_0_740,refute_0_745]) ).

cnf(refute_0_747,plain,
    mult(X_74,ld(X_74,X_145)) = X_145,
    inference(subst,[],[c01:[bind(A,$fot(X_74)),bind(B,$fot(X_145))]]) ).

cnf(refute_0_748,plain,
    rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74)) = rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74)),
    introduced(tautology,[refl,[$fot(rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74)))]]) ).

cnf(refute_0_749,plain,
    ( mult(X_74,ld(X_74,X_145)) != X_145
    | rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74)) != rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74))
    | rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74)) = rd(X_145,mult(X_74,X_74)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74)),rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74))) ),[1,0],$fot(X_145)]]) ).

cnf(refute_0_750,plain,
    ( mult(X_74,ld(X_74,X_145)) != X_145
    | rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74)) = rd(X_145,mult(X_74,X_74)) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74)),rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74))) )],[refute_0_748,refute_0_749]) ).

cnf(refute_0_751,plain,
    rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74)) = rd(X_145,mult(X_74,X_74)),
    inference(resolve,[$cnf( $equal(mult(X_74,ld(X_74,X_145)),X_145) )],[refute_0_747,refute_0_750]) ).

cnf(refute_0_752,plain,
    mult(ld(i(X_100),rd(X_101,X_100)),i(X_100)) = ld(ld(rd(X_101,X_100),i(X_100)),i(X_100)),
    inference(subst,[],[refute_0_654:[bind(X_103,$fot(rd(X_101,X_100))),bind(X_39,$fot(i(X_100)))]]) ).

cnf(refute_0_753,plain,
    ( ld(i(X_100),rd(X_101,X_100)) != rd(mult(X_100,X_101),X_100)
    | mult(ld(i(X_100),rd(X_101,X_100)),i(X_100)) != ld(ld(rd(X_101,X_100),i(X_100)),i(X_100))
    | mult(rd(mult(X_100,X_101),X_100),i(X_100)) = ld(ld(rd(X_101,X_100),i(X_100)),i(X_100)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(ld(i(X_100),rd(X_101,X_100)),i(X_100)),ld(ld(rd(X_101,X_100),i(X_100)),i(X_100))) ),[0,0],$fot(rd(mult(X_100,X_101),X_100))]]) ).

cnf(refute_0_754,plain,
    ( mult(ld(i(X_100),rd(X_101,X_100)),i(X_100)) != ld(ld(rd(X_101,X_100),i(X_100)),i(X_100))
    | mult(rd(mult(X_100,X_101),X_100),i(X_100)) = ld(ld(rd(X_101,X_100),i(X_100)),i(X_100)) ),
    inference(resolve,[$cnf( $equal(ld(i(X_100),rd(X_101,X_100)),rd(mult(X_100,X_101),X_100)) )],[refute_0_339,refute_0_753]) ).

cnf(refute_0_755,plain,
    mult(rd(mult(X_100,X_101),X_100),i(X_100)) = ld(ld(rd(X_101,X_100),i(X_100)),i(X_100)),
    inference(resolve,[$cnf( $equal(mult(ld(i(X_100),rd(X_101,X_100)),i(X_100)),ld(ld(rd(X_101,X_100),i(X_100)),i(X_100))) )],[refute_0_752,refute_0_754]) ).

cnf(refute_0_756,plain,
    mult(rd(mult(X_72,X_73),X_72),i(A)) = i(rd(A,rd(mult(X_72,X_73),X_72))),
    inference(subst,[],[refute_0_25:[bind(X_12,$fot(rd(mult(X_72,X_73),X_72)))]]) ).

cnf(refute_0_757,plain,
    mult(X_72,mult(X_73,ld(X_72,i(A)))) = mult(rd(mult(X_72,X_73),X_72),i(A)),
    inference(subst,[],[refute_0_11:[bind(B,$fot(i(A))),bind(X_45,$fot(X_72)),bind(X_46,$fot(X_73))]]) ).

cnf(refute_0_758,plain,
    ( mult(X_72,mult(X_73,ld(X_72,i(A)))) != mult(rd(mult(X_72,X_73),X_72),i(A))
    | mult(rd(mult(X_72,X_73),X_72),i(A)) = mult(X_72,mult(X_73,ld(X_72,i(A)))) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(mult(X_72,mult(X_73,ld(X_72,i(A)))))),bind(Y,$fot(mult(rd(mult(X_72,X_73),X_72),i(A))))]]) ).

cnf(refute_0_759,plain,
    mult(rd(mult(X_72,X_73),X_72),i(A)) = mult(X_72,mult(X_73,ld(X_72,i(A)))),
    inference(resolve,[$cnf( $equal(mult(X_72,mult(X_73,ld(X_72,i(A)))),mult(rd(mult(X_72,X_73),X_72),i(A))) )],[refute_0_757,refute_0_758]) ).

cnf(refute_0_760,plain,
    ( mult(rd(mult(X_72,X_73),X_72),i(A)) != i(rd(A,rd(mult(X_72,X_73),X_72)))
    | mult(rd(mult(X_72,X_73),X_72),i(A)) != mult(X_72,mult(X_73,ld(X_72,i(A))))
    | mult(X_72,mult(X_73,ld(X_72,i(A)))) = i(rd(A,rd(mult(X_72,X_73),X_72))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_72,X_73),X_72),i(A)),i(rd(A,rd(mult(X_72,X_73),X_72)))) ),[0],$fot(mult(X_72,mult(X_73,ld(X_72,i(A)))))]]) ).

cnf(refute_0_761,plain,
    ( mult(rd(mult(X_72,X_73),X_72),i(A)) != i(rd(A,rd(mult(X_72,X_73),X_72)))
    | mult(X_72,mult(X_73,ld(X_72,i(A)))) = i(rd(A,rd(mult(X_72,X_73),X_72))) ),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_72,X_73),X_72),i(A)),mult(X_72,mult(X_73,ld(X_72,i(A))))) )],[refute_0_759,refute_0_760]) ).

cnf(refute_0_762,plain,
    mult(X_72,mult(X_73,ld(X_72,i(A)))) = i(rd(A,rd(mult(X_72,X_73),X_72))),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_72,X_73),X_72),i(A)),i(rd(A,rd(mult(X_72,X_73),X_72)))) )],[refute_0_756,refute_0_761]) ).

cnf(refute_0_763,plain,
    mult(X_72,i(rd(mult(A,X_72),X_73))) = i(rd(rd(mult(A,X_72),X_73),X_72)),
    inference(subst,[],[refute_0_25:[bind(A,$fot(rd(mult(A,X_72),X_73))),bind(X_12,$fot(X_72))]]) ).

cnf(refute_0_764,plain,
    mult(X_73,i(mult(A,X_72))) = i(rd(mult(A,X_72),X_73)),
    inference(subst,[],[refute_0_25:[bind(A,$fot(mult(A,X_72))),bind(X_12,$fot(X_73))]]) ).

cnf(refute_0_765,plain,
    ld(X_72,i(A)) = i(mult(A,X_72)),
    inference(subst,[],[refute_0_222:[bind(X_26,$fot(X_72))]]) ).

cnf(refute_0_766,plain,
    mult(X_73,ld(X_72,i(A))) = mult(X_73,ld(X_72,i(A))),
    introduced(tautology,[refl,[$fot(mult(X_73,ld(X_72,i(A))))]]) ).

cnf(refute_0_767,plain,
    ( ld(X_72,i(A)) != i(mult(A,X_72))
    | mult(X_73,ld(X_72,i(A))) != mult(X_73,ld(X_72,i(A)))
    | mult(X_73,ld(X_72,i(A))) = mult(X_73,i(mult(A,X_72))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_73,ld(X_72,i(A))),mult(X_73,ld(X_72,i(A)))) ),[1,1],$fot(i(mult(A,X_72)))]]) ).

cnf(refute_0_768,plain,
    ( ld(X_72,i(A)) != i(mult(A,X_72))
    | mult(X_73,ld(X_72,i(A))) = mult(X_73,i(mult(A,X_72))) ),
    inference(resolve,[$cnf( $equal(mult(X_73,ld(X_72,i(A))),mult(X_73,ld(X_72,i(A)))) )],[refute_0_766,refute_0_767]) ).

cnf(refute_0_769,plain,
    mult(X_73,ld(X_72,i(A))) = mult(X_73,i(mult(A,X_72))),
    inference(resolve,[$cnf( $equal(ld(X_72,i(A)),i(mult(A,X_72))) )],[refute_0_765,refute_0_768]) ).

cnf(refute_0_770,plain,
    ( mult(X_73,i(mult(A,X_72))) != i(rd(mult(A,X_72),X_73))
    | mult(X_73,ld(X_72,i(A))) != mult(X_73,i(mult(A,X_72)))
    | mult(X_73,ld(X_72,i(A))) = i(rd(mult(A,X_72),X_73)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(X_73,ld(X_72,i(A))))),bind(Y,$fot(mult(X_73,i(mult(A,X_72))))),bind(Z,$fot(i(rd(mult(A,X_72),X_73))))]]) ).

cnf(refute_0_771,plain,
    ( mult(X_73,i(mult(A,X_72))) != i(rd(mult(A,X_72),X_73))
    | mult(X_73,ld(X_72,i(A))) = i(rd(mult(A,X_72),X_73)) ),
    inference(resolve,[$cnf( $equal(mult(X_73,ld(X_72,i(A))),mult(X_73,i(mult(A,X_72)))) )],[refute_0_769,refute_0_770]) ).

cnf(refute_0_772,plain,
    mult(X_73,ld(X_72,i(A))) = i(rd(mult(A,X_72),X_73)),
    inference(resolve,[$cnf( $equal(mult(X_73,i(mult(A,X_72))),i(rd(mult(A,X_72),X_73))) )],[refute_0_764,refute_0_771]) ).

cnf(refute_0_773,plain,
    mult(X_72,mult(X_73,ld(X_72,i(A)))) = mult(X_72,mult(X_73,ld(X_72,i(A)))),
    introduced(tautology,[refl,[$fot(mult(X_72,mult(X_73,ld(X_72,i(A)))))]]) ).

cnf(refute_0_774,plain,
    ( mult(X_72,mult(X_73,ld(X_72,i(A)))) != mult(X_72,mult(X_73,ld(X_72,i(A))))
    | mult(X_73,ld(X_72,i(A))) != i(rd(mult(A,X_72),X_73))
    | mult(X_72,mult(X_73,ld(X_72,i(A)))) = mult(X_72,i(rd(mult(A,X_72),X_73))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_72,mult(X_73,ld(X_72,i(A)))),mult(X_72,mult(X_73,ld(X_72,i(A))))) ),[1,1],$fot(i(rd(mult(A,X_72),X_73)))]]) ).

cnf(refute_0_775,plain,
    ( mult(X_73,ld(X_72,i(A))) != i(rd(mult(A,X_72),X_73))
    | mult(X_72,mult(X_73,ld(X_72,i(A)))) = mult(X_72,i(rd(mult(A,X_72),X_73))) ),
    inference(resolve,[$cnf( $equal(mult(X_72,mult(X_73,ld(X_72,i(A)))),mult(X_72,mult(X_73,ld(X_72,i(A))))) )],[refute_0_773,refute_0_774]) ).

cnf(refute_0_776,plain,
    mult(X_72,mult(X_73,ld(X_72,i(A)))) = mult(X_72,i(rd(mult(A,X_72),X_73))),
    inference(resolve,[$cnf( $equal(mult(X_73,ld(X_72,i(A))),i(rd(mult(A,X_72),X_73))) )],[refute_0_772,refute_0_775]) ).

cnf(refute_0_777,plain,
    ( mult(X_72,i(rd(mult(A,X_72),X_73))) != i(rd(rd(mult(A,X_72),X_73),X_72))
    | mult(X_72,mult(X_73,ld(X_72,i(A)))) != mult(X_72,i(rd(mult(A,X_72),X_73)))
    | mult(X_72,mult(X_73,ld(X_72,i(A)))) = i(rd(rd(mult(A,X_72),X_73),X_72)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(X_72,mult(X_73,ld(X_72,i(A)))))),bind(Y,$fot(mult(X_72,i(rd(mult(A,X_72),X_73))))),bind(Z,$fot(i(rd(rd(mult(A,X_72),X_73),X_72))))]]) ).

cnf(refute_0_778,plain,
    ( mult(X_72,i(rd(mult(A,X_72),X_73))) != i(rd(rd(mult(A,X_72),X_73),X_72))
    | mult(X_72,mult(X_73,ld(X_72,i(A)))) = i(rd(rd(mult(A,X_72),X_73),X_72)) ),
    inference(resolve,[$cnf( $equal(mult(X_72,mult(X_73,ld(X_72,i(A)))),mult(X_72,i(rd(mult(A,X_72),X_73)))) )],[refute_0_776,refute_0_777]) ).

cnf(refute_0_779,plain,
    mult(X_72,mult(X_73,ld(X_72,i(A)))) = i(rd(rd(mult(A,X_72),X_73),X_72)),
    inference(resolve,[$cnf( $equal(mult(X_72,i(rd(mult(A,X_72),X_73))),i(rd(rd(mult(A,X_72),X_73),X_72))) )],[refute_0_763,refute_0_778]) ).

cnf(refute_0_780,plain,
    ( mult(X_72,mult(X_73,ld(X_72,i(A)))) != i(rd(A,rd(mult(X_72,X_73),X_72)))
    | mult(X_72,mult(X_73,ld(X_72,i(A)))) != i(rd(rd(mult(A,X_72),X_73),X_72))
    | i(rd(rd(mult(A,X_72),X_73),X_72)) = i(rd(A,rd(mult(X_72,X_73),X_72))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_72,mult(X_73,ld(X_72,i(A)))),i(rd(A,rd(mult(X_72,X_73),X_72)))) ),[0],$fot(i(rd(rd(mult(A,X_72),X_73),X_72)))]]) ).

cnf(refute_0_781,plain,
    ( mult(X_72,mult(X_73,ld(X_72,i(A)))) != i(rd(A,rd(mult(X_72,X_73),X_72)))
    | i(rd(rd(mult(A,X_72),X_73),X_72)) = i(rd(A,rd(mult(X_72,X_73),X_72))) ),
    inference(resolve,[$cnf( $equal(mult(X_72,mult(X_73,ld(X_72,i(A)))),i(rd(rd(mult(A,X_72),X_73),X_72))) )],[refute_0_779,refute_0_780]) ).

cnf(refute_0_782,plain,
    i(rd(rd(mult(A,X_72),X_73),X_72)) = i(rd(A,rd(mult(X_72,X_73),X_72))),
    inference(resolve,[$cnf( $equal(mult(X_72,mult(X_73,ld(X_72,i(A)))),i(rd(A,rd(mult(X_72,X_73),X_72)))) )],[refute_0_762,refute_0_781]) ).

cnf(refute_0_783,plain,
    i(rd(rd(mult(X_100,X_100),X_101),X_100)) = i(rd(X_100,rd(mult(X_100,X_101),X_100))),
    inference(subst,[],[refute_0_782:[bind(A,$fot(X_100)),bind(X_72,$fot(X_100)),bind(X_73,$fot(X_101))]]) ).

cnf(refute_0_784,plain,
    mult(X_100,i(rd(mult(X_100,X_100),X_101))) = i(rd(rd(mult(X_100,X_100),X_101),X_100)),
    inference(subst,[],[refute_0_25:[bind(A,$fot(rd(mult(X_100,X_100),X_101))),bind(X_12,$fot(X_100))]]) ).

cnf(refute_0_785,plain,
    ( i(rd(rd(mult(X_100,X_100),X_101),X_100)) != i(rd(X_100,rd(mult(X_100,X_101),X_100)))
    | mult(X_100,i(rd(mult(X_100,X_100),X_101))) != i(rd(rd(mult(X_100,X_100),X_101),X_100))
    | mult(X_100,i(rd(mult(X_100,X_100),X_101))) = i(rd(X_100,rd(mult(X_100,X_101),X_100))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(X_100,i(rd(mult(X_100,X_100),X_101))))),bind(Y,$fot(i(rd(rd(mult(X_100,X_100),X_101),X_100)))),bind(Z,$fot(i(rd(X_100,rd(mult(X_100,X_101),X_100)))))]]) ).

cnf(refute_0_786,plain,
    ( i(rd(rd(mult(X_100,X_100),X_101),X_100)) != i(rd(X_100,rd(mult(X_100,X_101),X_100)))
    | mult(X_100,i(rd(mult(X_100,X_100),X_101))) = i(rd(X_100,rd(mult(X_100,X_101),X_100))) ),
    inference(resolve,[$cnf( $equal(mult(X_100,i(rd(mult(X_100,X_100),X_101))),i(rd(rd(mult(X_100,X_100),X_101),X_100))) )],[refute_0_784,refute_0_785]) ).

cnf(refute_0_787,plain,
    mult(X_100,i(rd(mult(X_100,X_100),X_101))) = i(rd(X_100,rd(mult(X_100,X_101),X_100))),
    inference(resolve,[$cnf( $equal(i(rd(rd(mult(X_100,X_100),X_101),X_100)),i(rd(X_100,rd(mult(X_100,X_101),X_100)))) )],[refute_0_783,refute_0_786]) ).

cnf(refute_0_788,plain,
    mult(X_101,i(mult(X_100,X_100))) = i(rd(mult(X_100,X_100),X_101)),
    inference(subst,[],[refute_0_25:[bind(A,$fot(mult(X_100,X_100))),bind(X_12,$fot(X_101))]]) ).

cnf(refute_0_789,plain,
    ld(X_100,i(X_100)) = i(mult(X_100,X_100)),
    inference(subst,[],[refute_0_222:[bind(A,$fot(X_100)),bind(X_26,$fot(X_100))]]) ).

cnf(refute_0_790,plain,
    mult(X_101,ld(X_100,i(X_100))) = mult(X_101,ld(X_100,i(X_100))),
    introduced(tautology,[refl,[$fot(mult(X_101,ld(X_100,i(X_100))))]]) ).

cnf(refute_0_791,plain,
    ( ld(X_100,i(X_100)) != i(mult(X_100,X_100))
    | mult(X_101,ld(X_100,i(X_100))) != mult(X_101,ld(X_100,i(X_100)))
    | mult(X_101,ld(X_100,i(X_100))) = mult(X_101,i(mult(X_100,X_100))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_101,ld(X_100,i(X_100))),mult(X_101,ld(X_100,i(X_100)))) ),[1,1],$fot(i(mult(X_100,X_100)))]]) ).

cnf(refute_0_792,plain,
    ( ld(X_100,i(X_100)) != i(mult(X_100,X_100))
    | mult(X_101,ld(X_100,i(X_100))) = mult(X_101,i(mult(X_100,X_100))) ),
    inference(resolve,[$cnf( $equal(mult(X_101,ld(X_100,i(X_100))),mult(X_101,ld(X_100,i(X_100)))) )],[refute_0_790,refute_0_791]) ).

cnf(refute_0_793,plain,
    mult(X_101,ld(X_100,i(X_100))) = mult(X_101,i(mult(X_100,X_100))),
    inference(resolve,[$cnf( $equal(ld(X_100,i(X_100)),i(mult(X_100,X_100))) )],[refute_0_789,refute_0_792]) ).

cnf(refute_0_794,plain,
    ( mult(X_101,i(mult(X_100,X_100))) != i(rd(mult(X_100,X_100),X_101))
    | mult(X_101,ld(X_100,i(X_100))) != mult(X_101,i(mult(X_100,X_100)))
    | mult(X_101,ld(X_100,i(X_100))) = i(rd(mult(X_100,X_100),X_101)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(X_101,ld(X_100,i(X_100))))),bind(Y,$fot(mult(X_101,i(mult(X_100,X_100))))),bind(Z,$fot(i(rd(mult(X_100,X_100),X_101))))]]) ).

cnf(refute_0_795,plain,
    ( mult(X_101,i(mult(X_100,X_100))) != i(rd(mult(X_100,X_100),X_101))
    | mult(X_101,ld(X_100,i(X_100))) = i(rd(mult(X_100,X_100),X_101)) ),
    inference(resolve,[$cnf( $equal(mult(X_101,ld(X_100,i(X_100))),mult(X_101,i(mult(X_100,X_100)))) )],[refute_0_793,refute_0_794]) ).

cnf(refute_0_796,plain,
    mult(X_101,ld(X_100,i(X_100))) = i(rd(mult(X_100,X_100),X_101)),
    inference(resolve,[$cnf( $equal(mult(X_101,i(mult(X_100,X_100))),i(rd(mult(X_100,X_100),X_101))) )],[refute_0_788,refute_0_795]) ).

cnf(refute_0_797,plain,
    mult(X_100,mult(X_101,ld(X_100,i(X_100)))) = mult(X_100,mult(X_101,ld(X_100,i(X_100)))),
    introduced(tautology,[refl,[$fot(mult(X_100,mult(X_101,ld(X_100,i(X_100)))))]]) ).

cnf(refute_0_798,plain,
    ( mult(X_100,mult(X_101,ld(X_100,i(X_100)))) != mult(X_100,mult(X_101,ld(X_100,i(X_100))))
    | mult(X_101,ld(X_100,i(X_100))) != i(rd(mult(X_100,X_100),X_101))
    | mult(X_100,mult(X_101,ld(X_100,i(X_100)))) = mult(X_100,i(rd(mult(X_100,X_100),X_101))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_100,mult(X_101,ld(X_100,i(X_100)))),mult(X_100,mult(X_101,ld(X_100,i(X_100))))) ),[1,1],$fot(i(rd(mult(X_100,X_100),X_101)))]]) ).

cnf(refute_0_799,plain,
    ( mult(X_101,ld(X_100,i(X_100))) != i(rd(mult(X_100,X_100),X_101))
    | mult(X_100,mult(X_101,ld(X_100,i(X_100)))) = mult(X_100,i(rd(mult(X_100,X_100),X_101))) ),
    inference(resolve,[$cnf( $equal(mult(X_100,mult(X_101,ld(X_100,i(X_100)))),mult(X_100,mult(X_101,ld(X_100,i(X_100))))) )],[refute_0_797,refute_0_798]) ).

cnf(refute_0_800,plain,
    mult(X_100,mult(X_101,ld(X_100,i(X_100)))) = mult(X_100,i(rd(mult(X_100,X_100),X_101))),
    inference(resolve,[$cnf( $equal(mult(X_101,ld(X_100,i(X_100))),i(rd(mult(X_100,X_100),X_101))) )],[refute_0_796,refute_0_799]) ).

cnf(refute_0_801,plain,
    ( mult(X_100,i(rd(mult(X_100,X_100),X_101))) != i(rd(X_100,rd(mult(X_100,X_101),X_100)))
    | mult(X_100,mult(X_101,ld(X_100,i(X_100)))) != mult(X_100,i(rd(mult(X_100,X_100),X_101)))
    | mult(X_100,mult(X_101,ld(X_100,i(X_100)))) = i(rd(X_100,rd(mult(X_100,X_101),X_100))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(X_100,mult(X_101,ld(X_100,i(X_100)))))),bind(Y,$fot(mult(X_100,i(rd(mult(X_100,X_100),X_101))))),bind(Z,$fot(i(rd(X_100,rd(mult(X_100,X_101),X_100)))))]]) ).

cnf(refute_0_802,plain,
    ( mult(X_100,i(rd(mult(X_100,X_100),X_101))) != i(rd(X_100,rd(mult(X_100,X_101),X_100)))
    | mult(X_100,mult(X_101,ld(X_100,i(X_100)))) = i(rd(X_100,rd(mult(X_100,X_101),X_100))) ),
    inference(resolve,[$cnf( $equal(mult(X_100,mult(X_101,ld(X_100,i(X_100)))),mult(X_100,i(rd(mult(X_100,X_100),X_101)))) )],[refute_0_800,refute_0_801]) ).

cnf(refute_0_803,plain,
    mult(X_100,mult(X_101,ld(X_100,i(X_100)))) = i(rd(X_100,rd(mult(X_100,X_101),X_100))),
    inference(resolve,[$cnf( $equal(mult(X_100,i(rd(mult(X_100,X_100),X_101))),i(rd(X_100,rd(mult(X_100,X_101),X_100)))) )],[refute_0_787,refute_0_802]) ).

cnf(refute_0_804,plain,
    ( mult(X_45,mult(X_46,ld(X_45,B))) != mult(rd(mult(X_45,X_46),X_45),B)
    | mult(rd(mult(X_45,X_46),X_45),B) = mult(X_45,mult(X_46,ld(X_45,B))) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(mult(X_45,mult(X_46,ld(X_45,B))))),bind(Y,$fot(mult(rd(mult(X_45,X_46),X_45),B)))]]) ).

cnf(refute_0_805,plain,
    mult(rd(mult(X_45,X_46),X_45),B) = mult(X_45,mult(X_46,ld(X_45,B))),
    inference(resolve,[$cnf( $equal(mult(X_45,mult(X_46,ld(X_45,B))),mult(rd(mult(X_45,X_46),X_45),B)) )],[refute_0_11,refute_0_804]) ).

cnf(refute_0_806,plain,
    mult(rd(mult(X_100,X_101),X_100),i(X_100)) = mult(X_100,mult(X_101,ld(X_100,i(X_100)))),
    inference(subst,[],[refute_0_805:[bind(B,$fot(i(X_100))),bind(X_45,$fot(X_100)),bind(X_46,$fot(X_101))]]) ).

cnf(refute_0_807,plain,
    ( mult(X_100,mult(X_101,ld(X_100,i(X_100)))) != i(rd(X_100,rd(mult(X_100,X_101),X_100)))
    | mult(rd(mult(X_100,X_101),X_100),i(X_100)) != mult(X_100,mult(X_101,ld(X_100,i(X_100))))
    | mult(rd(mult(X_100,X_101),X_100),i(X_100)) = i(rd(X_100,rd(mult(X_100,X_101),X_100))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(rd(mult(X_100,X_101),X_100),i(X_100)))),bind(Y,$fot(mult(X_100,mult(X_101,ld(X_100,i(X_100)))))),bind(Z,$fot(i(rd(X_100,rd(mult(X_100,X_101),X_100)))))]]) ).

cnf(refute_0_808,plain,
    ( mult(X_100,mult(X_101,ld(X_100,i(X_100)))) != i(rd(X_100,rd(mult(X_100,X_101),X_100)))
    | mult(rd(mult(X_100,X_101),X_100),i(X_100)) = i(rd(X_100,rd(mult(X_100,X_101),X_100))) ),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_100,X_101),X_100),i(X_100)),mult(X_100,mult(X_101,ld(X_100,i(X_100))))) )],[refute_0_806,refute_0_807]) ).

cnf(refute_0_809,plain,
    mult(rd(mult(X_100,X_101),X_100),i(X_100)) = i(rd(X_100,rd(mult(X_100,X_101),X_100))),
    inference(resolve,[$cnf( $equal(mult(X_100,mult(X_101,ld(X_100,i(X_100)))),i(rd(X_100,rd(mult(X_100,X_101),X_100)))) )],[refute_0_803,refute_0_808]) ).

cnf(refute_0_810,plain,
    ( mult(rd(mult(X_100,X_101),X_100),i(X_100)) != i(rd(X_100,rd(mult(X_100,X_101),X_100)))
    | mult(rd(mult(X_100,X_101),X_100),i(X_100)) != ld(ld(rd(X_101,X_100),i(X_100)),i(X_100))
    | i(rd(X_100,rd(mult(X_100,X_101),X_100))) = ld(ld(rd(X_101,X_100),i(X_100)),i(X_100)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_100,X_101),X_100),i(X_100)),ld(ld(rd(X_101,X_100),i(X_100)),i(X_100))) ),[0],$fot(i(rd(X_100,rd(mult(X_100,X_101),X_100))))]]) ).

cnf(refute_0_811,plain,
    ( mult(rd(mult(X_100,X_101),X_100),i(X_100)) != ld(ld(rd(X_101,X_100),i(X_100)),i(X_100))
    | i(rd(X_100,rd(mult(X_100,X_101),X_100))) = ld(ld(rd(X_101,X_100),i(X_100)),i(X_100)) ),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_100,X_101),X_100),i(X_100)),i(rd(X_100,rd(mult(X_100,X_101),X_100)))) )],[refute_0_809,refute_0_810]) ).

cnf(refute_0_812,plain,
    rd(mult(X_48,mult(rd(A,X_50),X_50)),mult(X_48,X_50)) = rd(mult(X_48,rd(A,X_50)),X_48),
    inference(subst,[],[refute_0_281:[bind(X_45,$fot(X_48)),bind(X_46,$fot(rd(A,X_50))),bind(X_47,$fot(X_50))]]) ).

cnf(refute_0_813,plain,
    mult(rd(A,X_50),X_50) = A,
    inference(subst,[],[c03:[bind(B,$fot(X_50))]]) ).

cnf(refute_0_814,plain,
    ( mult(rd(A,X_50),X_50) != A
    | rd(mult(X_48,mult(rd(A,X_50),X_50)),mult(X_48,X_50)) != rd(mult(X_48,rd(A,X_50)),X_48)
    | rd(mult(X_48,A),mult(X_48,X_50)) = rd(mult(X_48,rd(A,X_50)),X_48) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_48,mult(rd(A,X_50),X_50)),mult(X_48,X_50)),rd(mult(X_48,rd(A,X_50)),X_48)) ),[0,0,1],$fot(A)]]) ).

cnf(refute_0_815,plain,
    ( rd(mult(X_48,mult(rd(A,X_50),X_50)),mult(X_48,X_50)) != rd(mult(X_48,rd(A,X_50)),X_48)
    | rd(mult(X_48,A),mult(X_48,X_50)) = rd(mult(X_48,rd(A,X_50)),X_48) ),
    inference(resolve,[$cnf( $equal(mult(rd(A,X_50),X_50),A) )],[refute_0_813,refute_0_814]) ).

cnf(refute_0_816,plain,
    rd(mult(X_48,A),mult(X_48,X_50)) = rd(mult(X_48,rd(A,X_50)),X_48),
    inference(resolve,[$cnf( $equal(rd(mult(X_48,mult(rd(A,X_50),X_50)),mult(X_48,X_50)),rd(mult(X_48,rd(A,X_50)),X_48)) )],[refute_0_812,refute_0_815]) ).

cnf(refute_0_817,plain,
    ( rd(mult(X_48,A),mult(X_48,X_50)) != rd(mult(X_48,rd(A,X_50)),X_48)
    | rd(mult(X_48,rd(A,X_50)),X_48) = rd(mult(X_48,A),mult(X_48,X_50)) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(rd(mult(X_48,A),mult(X_48,X_50)))),bind(Y,$fot(rd(mult(X_48,rd(A,X_50)),X_48)))]]) ).

cnf(refute_0_818,plain,
    rd(mult(X_48,rd(A,X_50)),X_48) = rd(mult(X_48,A),mult(X_48,X_50)),
    inference(resolve,[$cnf( $equal(rd(mult(X_48,A),mult(X_48,X_50)),rd(mult(X_48,rd(A,X_50)),X_48)) )],[refute_0_816,refute_0_817]) ).

cnf(refute_0_819,plain,
    rd(mult(X_100,rd(X_101,X_100)),X_100) = rd(mult(X_100,X_101),mult(X_100,X_100)),
    inference(subst,[],[refute_0_818:[bind(A,$fot(X_101)),bind(X_48,$fot(X_100)),bind(X_50,$fot(X_100))]]) ).

cnf(refute_0_820,plain,
    i(rd(rd(X_100,rd(X_101,X_100)),X_100)) = rd(mult(X_100,rd(X_101,X_100)),X_100),
    inference(subst,[],[refute_0_75:[bind(X_72,$fot(X_100)),bind(X_73,$fot(rd(X_101,X_100)))]]) ).

cnf(refute_0_821,plain,
    ( i(rd(rd(X_100,rd(X_101,X_100)),X_100)) != rd(mult(X_100,rd(X_101,X_100)),X_100)
    | rd(mult(X_100,rd(X_101,X_100)),X_100) != rd(mult(X_100,X_101),mult(X_100,X_100))
    | i(rd(rd(X_100,rd(X_101,X_100)),X_100)) = rd(mult(X_100,X_101),mult(X_100,X_100)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(i(rd(rd(X_100,rd(X_101,X_100)),X_100)))),bind(Y,$fot(rd(mult(X_100,rd(X_101,X_100)),X_100))),bind(Z,$fot(rd(mult(X_100,X_101),mult(X_100,X_100))))]]) ).

cnf(refute_0_822,plain,
    ( rd(mult(X_100,rd(X_101,X_100)),X_100) != rd(mult(X_100,X_101),mult(X_100,X_100))
    | i(rd(rd(X_100,rd(X_101,X_100)),X_100)) = rd(mult(X_100,X_101),mult(X_100,X_100)) ),
    inference(resolve,[$cnf( $equal(i(rd(rd(X_100,rd(X_101,X_100)),X_100)),rd(mult(X_100,rd(X_101,X_100)),X_100)) )],[refute_0_820,refute_0_821]) ).

cnf(refute_0_823,plain,
    i(rd(rd(X_100,rd(X_101,X_100)),X_100)) = rd(mult(X_100,X_101),mult(X_100,X_100)),
    inference(resolve,[$cnf( $equal(rd(mult(X_100,rd(X_101,X_100)),X_100),rd(mult(X_100,X_101),mult(X_100,X_100))) )],[refute_0_819,refute_0_822]) ).

cnf(refute_0_824,plain,
    mult(X_12,i(mult(X_12,rd(X_107,X_109)))) = i(rd(mult(X_12,rd(X_107,X_109)),X_12)),
    inference(subst,[],[refute_0_25:[bind(A,$fot(mult(X_12,rd(X_107,X_109))))]]) ).

cnf(refute_0_825,plain,
    rd(mult(X_12,X_107),mult(X_12,X_109)) = rd(mult(X_12,rd(X_107,X_109)),X_12),
    inference(subst,[],[refute_0_816:[bind(A,$fot(X_107)),bind(X_48,$fot(X_12)),bind(X_50,$fot(X_109))]]) ).

cnf(refute_0_826,plain,
    ( rd(mult(X_12,X_107),mult(X_12,X_109)) != rd(mult(X_12,rd(X_107,X_109)),X_12)
    | rd(mult(X_12,rd(X_107,X_109)),X_12) = rd(mult(X_12,X_107),mult(X_12,X_109)) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(rd(mult(X_12,X_107),mult(X_12,X_109)))),bind(Y,$fot(rd(mult(X_12,rd(X_107,X_109)),X_12)))]]) ).

cnf(refute_0_827,plain,
    rd(mult(X_12,rd(X_107,X_109)),X_12) = rd(mult(X_12,X_107),mult(X_12,X_109)),
    inference(resolve,[$cnf( $equal(rd(mult(X_12,X_107),mult(X_12,X_109)),rd(mult(X_12,rd(X_107,X_109)),X_12)) )],[refute_0_825,refute_0_826]) ).

cnf(refute_0_828,plain,
    ( mult(X_12,i(mult(X_12,rd(X_107,X_109)))) != i(rd(mult(X_12,rd(X_107,X_109)),X_12))
    | rd(mult(X_12,rd(X_107,X_109)),X_12) != rd(mult(X_12,X_107),mult(X_12,X_109))
    | mult(X_12,i(mult(X_12,rd(X_107,X_109)))) = i(rd(mult(X_12,X_107),mult(X_12,X_109))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_12,i(mult(X_12,rd(X_107,X_109)))),i(rd(mult(X_12,rd(X_107,X_109)),X_12))) ),[1,0],$fot(rd(mult(X_12,X_107),mult(X_12,X_109)))]]) ).

cnf(refute_0_829,plain,
    ( mult(X_12,i(mult(X_12,rd(X_107,X_109)))) != i(rd(mult(X_12,rd(X_107,X_109)),X_12))
    | mult(X_12,i(mult(X_12,rd(X_107,X_109)))) = i(rd(mult(X_12,X_107),mult(X_12,X_109))) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_12,rd(X_107,X_109)),X_12),rd(mult(X_12,X_107),mult(X_12,X_109))) )],[refute_0_827,refute_0_828]) ).

cnf(refute_0_830,plain,
    mult(X_12,i(mult(X_12,rd(X_107,X_109)))) = i(rd(mult(X_12,X_107),mult(X_12,X_109))),
    inference(resolve,[$cnf( $equal(mult(X_12,i(mult(X_12,rd(X_107,X_109)))),i(rd(mult(X_12,rd(X_107,X_109)),X_12))) )],[refute_0_824,refute_0_829]) ).

cnf(refute_0_831,plain,
    i(rd(mult(X_12,rd(X_107,X_109)),X_12)) = rd(rd(X_12,rd(X_107,X_109)),X_12),
    inference(subst,[],[refute_0_245:[bind(X_74,$fot(X_12)),bind(X_75,$fot(rd(X_107,X_109)))]]) ).

cnf(refute_0_832,plain,
    ( i(rd(mult(X_12,rd(X_107,X_109)),X_12)) != rd(rd(X_12,rd(X_107,X_109)),X_12)
    | mult(X_12,i(mult(X_12,rd(X_107,X_109)))) != i(rd(mult(X_12,rd(X_107,X_109)),X_12))
    | mult(X_12,i(mult(X_12,rd(X_107,X_109)))) = rd(rd(X_12,rd(X_107,X_109)),X_12) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(X_12,i(mult(X_12,rd(X_107,X_109)))))),bind(Y,$fot(i(rd(mult(X_12,rd(X_107,X_109)),X_12)))),bind(Z,$fot(rd(rd(X_12,rd(X_107,X_109)),X_12)))]]) ).

cnf(refute_0_833,plain,
    ( i(rd(mult(X_12,rd(X_107,X_109)),X_12)) != rd(rd(X_12,rd(X_107,X_109)),X_12)
    | mult(X_12,i(mult(X_12,rd(X_107,X_109)))) = rd(rd(X_12,rd(X_107,X_109)),X_12) ),
    inference(resolve,[$cnf( $equal(mult(X_12,i(mult(X_12,rd(X_107,X_109)))),i(rd(mult(X_12,rd(X_107,X_109)),X_12))) )],[refute_0_824,refute_0_832]) ).

cnf(refute_0_834,plain,
    mult(X_12,i(mult(X_12,rd(X_107,X_109)))) = rd(rd(X_12,rd(X_107,X_109)),X_12),
    inference(resolve,[$cnf( $equal(i(rd(mult(X_12,rd(X_107,X_109)),X_12)),rd(rd(X_12,rd(X_107,X_109)),X_12)) )],[refute_0_831,refute_0_833]) ).

cnf(refute_0_835,plain,
    ( mult(X_12,i(mult(X_12,rd(X_107,X_109)))) != i(rd(mult(X_12,X_107),mult(X_12,X_109)))
    | mult(X_12,i(mult(X_12,rd(X_107,X_109)))) != rd(rd(X_12,rd(X_107,X_109)),X_12)
    | rd(rd(X_12,rd(X_107,X_109)),X_12) = i(rd(mult(X_12,X_107),mult(X_12,X_109))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_12,i(mult(X_12,rd(X_107,X_109)))),i(rd(mult(X_12,X_107),mult(X_12,X_109)))) ),[0],$fot(rd(rd(X_12,rd(X_107,X_109)),X_12))]]) ).

cnf(refute_0_836,plain,
    ( mult(X_12,i(mult(X_12,rd(X_107,X_109)))) != i(rd(mult(X_12,X_107),mult(X_12,X_109)))
    | rd(rd(X_12,rd(X_107,X_109)),X_12) = i(rd(mult(X_12,X_107),mult(X_12,X_109))) ),
    inference(resolve,[$cnf( $equal(mult(X_12,i(mult(X_12,rd(X_107,X_109)))),rd(rd(X_12,rd(X_107,X_109)),X_12)) )],[refute_0_834,refute_0_835]) ).

cnf(refute_0_837,plain,
    rd(rd(X_12,rd(X_107,X_109)),X_12) = i(rd(mult(X_12,X_107),mult(X_12,X_109))),
    inference(resolve,[$cnf( $equal(mult(X_12,i(mult(X_12,rd(X_107,X_109)))),i(rd(mult(X_12,X_107),mult(X_12,X_109)))) )],[refute_0_830,refute_0_836]) ).

cnf(refute_0_838,plain,
    ( rd(rd(X_12,rd(X_107,X_109)),X_12) != i(rd(mult(X_12,X_107),mult(X_12,X_109)))
    | i(rd(mult(X_12,X_107),mult(X_12,X_109))) = rd(rd(X_12,rd(X_107,X_109)),X_12) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(rd(rd(X_12,rd(X_107,X_109)),X_12))),bind(Y,$fot(i(rd(mult(X_12,X_107),mult(X_12,X_109)))))]]) ).

cnf(refute_0_839,plain,
    i(rd(mult(X_12,X_107),mult(X_12,X_109))) = rd(rd(X_12,rd(X_107,X_109)),X_12),
    inference(resolve,[$cnf( $equal(rd(rd(X_12,rd(X_107,X_109)),X_12),i(rd(mult(X_12,X_107),mult(X_12,X_109)))) )],[refute_0_837,refute_0_838]) ).

cnf(refute_0_840,plain,
    i(rd(mult(X_100,X_101),mult(X_100,X_100))) = rd(rd(X_100,rd(X_101,X_100)),X_100),
    inference(subst,[],[refute_0_839:[bind(X_107,$fot(X_101)),bind(X_109,$fot(X_100)),bind(X_12,$fot(X_100))]]) ).

cnf(refute_0_841,plain,
    mult(mult(X_100,X_100),i(mult(X_100,X_101))) = i(rd(mult(X_100,X_101),mult(X_100,X_100))),
    inference(subst,[],[refute_0_25:[bind(A,$fot(mult(X_100,X_101))),bind(X_12,$fot(mult(X_100,X_100)))]]) ).

cnf(refute_0_842,plain,
    ( i(rd(mult(X_100,X_101),mult(X_100,X_100))) != rd(rd(X_100,rd(X_101,X_100)),X_100)
    | mult(mult(X_100,X_100),i(mult(X_100,X_101))) != i(rd(mult(X_100,X_101),mult(X_100,X_100)))
    | mult(mult(X_100,X_100),i(mult(X_100,X_101))) = rd(rd(X_100,rd(X_101,X_100)),X_100) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(mult(X_100,X_100),i(mult(X_100,X_101))))),bind(Y,$fot(i(rd(mult(X_100,X_101),mult(X_100,X_100))))),bind(Z,$fot(rd(rd(X_100,rd(X_101,X_100)),X_100)))]]) ).

cnf(refute_0_843,plain,
    ( i(rd(mult(X_100,X_101),mult(X_100,X_100))) != rd(rd(X_100,rd(X_101,X_100)),X_100)
    | mult(mult(X_100,X_100),i(mult(X_100,X_101))) = rd(rd(X_100,rd(X_101,X_100)),X_100) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_100,X_100),i(mult(X_100,X_101))),i(rd(mult(X_100,X_101),mult(X_100,X_100)))) )],[refute_0_841,refute_0_842]) ).

cnf(refute_0_844,plain,
    mult(mult(X_100,X_100),i(mult(X_100,X_101))) = rd(rd(X_100,rd(X_101,X_100)),X_100),
    inference(resolve,[$cnf( $equal(i(rd(mult(X_100,X_101),mult(X_100,X_100))),rd(rd(X_100,rd(X_101,X_100)),X_100)) )],[refute_0_840,refute_0_843]) ).

cnf(refute_0_845,plain,
    i(mult(mult(X_100,X_100),i(mult(X_100,X_101)))) = i(mult(mult(X_100,X_100),i(mult(X_100,X_101)))),
    introduced(tautology,[refl,[$fot(i(mult(mult(X_100,X_100),i(mult(X_100,X_101)))))]]) ).

cnf(refute_0_846,plain,
    ( i(mult(mult(X_100,X_100),i(mult(X_100,X_101)))) != i(mult(mult(X_100,X_100),i(mult(X_100,X_101))))
    | mult(mult(X_100,X_100),i(mult(X_100,X_101))) != rd(rd(X_100,rd(X_101,X_100)),X_100)
    | i(mult(mult(X_100,X_100),i(mult(X_100,X_101)))) = i(rd(rd(X_100,rd(X_101,X_100)),X_100)) ),
    introduced(tautology,[equality,[$cnf( $equal(i(mult(mult(X_100,X_100),i(mult(X_100,X_101)))),i(mult(mult(X_100,X_100),i(mult(X_100,X_101))))) ),[1,0],$fot(rd(rd(X_100,rd(X_101,X_100)),X_100))]]) ).

cnf(refute_0_847,plain,
    ( mult(mult(X_100,X_100),i(mult(X_100,X_101))) != rd(rd(X_100,rd(X_101,X_100)),X_100)
    | i(mult(mult(X_100,X_100),i(mult(X_100,X_101)))) = i(rd(rd(X_100,rd(X_101,X_100)),X_100)) ),
    inference(resolve,[$cnf( $equal(i(mult(mult(X_100,X_100),i(mult(X_100,X_101)))),i(mult(mult(X_100,X_100),i(mult(X_100,X_101))))) )],[refute_0_845,refute_0_846]) ).

cnf(refute_0_848,plain,
    i(mult(mult(X_100,X_100),i(mult(X_100,X_101)))) = i(rd(rd(X_100,rd(X_101,X_100)),X_100)),
    inference(resolve,[$cnf( $equal(mult(mult(X_100,X_100),i(mult(X_100,X_101))),rd(rd(X_100,rd(X_101,X_100)),X_100)) )],[refute_0_844,refute_0_847]) ).

cnf(refute_0_849,plain,
    ( i(mult(mult(X_100,X_100),i(mult(X_100,X_101)))) != i(rd(rd(X_100,rd(X_101,X_100)),X_100))
    | i(rd(rd(X_100,rd(X_101,X_100)),X_100)) != rd(mult(X_100,X_101),mult(X_100,X_100))
    | i(mult(mult(X_100,X_100),i(mult(X_100,X_101)))) = rd(mult(X_100,X_101),mult(X_100,X_100)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(i(mult(mult(X_100,X_100),i(mult(X_100,X_101)))))),bind(Y,$fot(i(rd(rd(X_100,rd(X_101,X_100)),X_100)))),bind(Z,$fot(rd(mult(X_100,X_101),mult(X_100,X_100))))]]) ).

cnf(refute_0_850,plain,
    ( i(rd(rd(X_100,rd(X_101,X_100)),X_100)) != rd(mult(X_100,X_101),mult(X_100,X_100))
    | i(mult(mult(X_100,X_100),i(mult(X_100,X_101)))) = rd(mult(X_100,X_101),mult(X_100,X_100)) ),
    inference(resolve,[$cnf( $equal(i(mult(mult(X_100,X_100),i(mult(X_100,X_101)))),i(rd(rd(X_100,rd(X_101,X_100)),X_100))) )],[refute_0_848,refute_0_849]) ).

cnf(refute_0_851,plain,
    i(mult(mult(X_100,X_100),i(mult(X_100,X_101)))) = rd(mult(X_100,X_101),mult(X_100,X_100)),
    inference(resolve,[$cnf( $equal(i(rd(rd(X_100,rd(X_101,X_100)),X_100)),rd(mult(X_100,X_101),mult(X_100,X_100))) )],[refute_0_823,refute_0_850]) ).

cnf(refute_0_852,plain,
    ld(i(mult(X_100,X_101)),i(mult(X_100,X_100))) = i(mult(mult(X_100,X_100),i(mult(X_100,X_101)))),
    inference(subst,[],[refute_0_222:[bind(A,$fot(mult(X_100,X_100))),bind(X_26,$fot(i(mult(X_100,X_101))))]]) ).

cnf(refute_0_853,plain,
    ( i(mult(mult(X_100,X_100),i(mult(X_100,X_101)))) != rd(mult(X_100,X_101),mult(X_100,X_100))
    | ld(i(mult(X_100,X_101)),i(mult(X_100,X_100))) != i(mult(mult(X_100,X_100),i(mult(X_100,X_101))))
    | ld(i(mult(X_100,X_101)),i(mult(X_100,X_100))) = rd(mult(X_100,X_101),mult(X_100,X_100)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(ld(i(mult(X_100,X_101)),i(mult(X_100,X_100))))),bind(Y,$fot(i(mult(mult(X_100,X_100),i(mult(X_100,X_101)))))),bind(Z,$fot(rd(mult(X_100,X_101),mult(X_100,X_100))))]]) ).

cnf(refute_0_854,plain,
    ( i(mult(mult(X_100,X_100),i(mult(X_100,X_101)))) != rd(mult(X_100,X_101),mult(X_100,X_100))
    | ld(i(mult(X_100,X_101)),i(mult(X_100,X_100))) = rd(mult(X_100,X_101),mult(X_100,X_100)) ),
    inference(resolve,[$cnf( $equal(ld(i(mult(X_100,X_101)),i(mult(X_100,X_100))),i(mult(mult(X_100,X_100),i(mult(X_100,X_101))))) )],[refute_0_852,refute_0_853]) ).

cnf(refute_0_855,plain,
    ld(i(mult(X_100,X_101)),i(mult(X_100,X_100))) = rd(mult(X_100,X_101),mult(X_100,X_100)),
    inference(resolve,[$cnf( $equal(i(mult(mult(X_100,X_100),i(mult(X_100,X_101)))),rd(mult(X_100,X_101),mult(X_100,X_100))) )],[refute_0_851,refute_0_854]) ).

cnf(refute_0_856,plain,
    ld(i(mult(X_100,X_101)),ld(X_100,i(X_100))) = ld(i(mult(X_100,X_101)),ld(X_100,i(X_100))),
    introduced(tautology,[refl,[$fot(ld(i(mult(X_100,X_101)),ld(X_100,i(X_100))))]]) ).

cnf(refute_0_857,plain,
    ( ld(X_100,i(X_100)) != i(mult(X_100,X_100))
    | ld(i(mult(X_100,X_101)),ld(X_100,i(X_100))) != ld(i(mult(X_100,X_101)),ld(X_100,i(X_100)))
    | ld(i(mult(X_100,X_101)),ld(X_100,i(X_100))) = ld(i(mult(X_100,X_101)),i(mult(X_100,X_100))) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(i(mult(X_100,X_101)),ld(X_100,i(X_100))),ld(i(mult(X_100,X_101)),ld(X_100,i(X_100)))) ),[1,1],$fot(i(mult(X_100,X_100)))]]) ).

cnf(refute_0_858,plain,
    ( ld(X_100,i(X_100)) != i(mult(X_100,X_100))
    | ld(i(mult(X_100,X_101)),ld(X_100,i(X_100))) = ld(i(mult(X_100,X_101)),i(mult(X_100,X_100))) ),
    inference(resolve,[$cnf( $equal(ld(i(mult(X_100,X_101)),ld(X_100,i(X_100))),ld(i(mult(X_100,X_101)),ld(X_100,i(X_100)))) )],[refute_0_856,refute_0_857]) ).

cnf(refute_0_859,plain,
    ld(i(mult(X_100,X_101)),ld(X_100,i(X_100))) = ld(i(mult(X_100,X_101)),i(mult(X_100,X_100))),
    inference(resolve,[$cnf( $equal(ld(X_100,i(X_100)),i(mult(X_100,X_100))) )],[refute_0_789,refute_0_858]) ).

cnf(refute_0_860,plain,
    ld(X_101,i(X_100)) = i(mult(X_100,X_101)),
    inference(subst,[],[refute_0_222:[bind(A,$fot(X_100)),bind(X_26,$fot(X_101))]]) ).

cnf(refute_0_861,plain,
    ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))) = ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))),
    introduced(tautology,[refl,[$fot(ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))))]]) ).

cnf(refute_0_862,plain,
    ( ld(X_101,i(X_100)) != i(mult(X_100,X_101))
    | ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))) != ld(ld(X_101,i(X_100)),ld(X_100,i(X_100)))
    | ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))) = ld(i(mult(X_100,X_101)),ld(X_100,i(X_100))) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))),ld(ld(X_101,i(X_100)),ld(X_100,i(X_100)))) ),[1,0],$fot(i(mult(X_100,X_101)))]]) ).

cnf(refute_0_863,plain,
    ( ld(X_101,i(X_100)) != i(mult(X_100,X_101))
    | ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))) = ld(i(mult(X_100,X_101)),ld(X_100,i(X_100))) ),
    inference(resolve,[$cnf( $equal(ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))),ld(ld(X_101,i(X_100)),ld(X_100,i(X_100)))) )],[refute_0_861,refute_0_862]) ).

cnf(refute_0_864,plain,
    ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))) = ld(i(mult(X_100,X_101)),ld(X_100,i(X_100))),
    inference(resolve,[$cnf( $equal(ld(X_101,i(X_100)),i(mult(X_100,X_101))) )],[refute_0_860,refute_0_863]) ).

cnf(refute_0_865,plain,
    ( ld(i(mult(X_100,X_101)),ld(X_100,i(X_100))) != ld(i(mult(X_100,X_101)),i(mult(X_100,X_100)))
    | ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))) != ld(i(mult(X_100,X_101)),ld(X_100,i(X_100)))
    | ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))) = ld(i(mult(X_100,X_101)),i(mult(X_100,X_100))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))))),bind(Y,$fot(ld(i(mult(X_100,X_101)),ld(X_100,i(X_100))))),bind(Z,$fot(ld(i(mult(X_100,X_101)),i(mult(X_100,X_100)))))]]) ).

cnf(refute_0_866,plain,
    ( ld(i(mult(X_100,X_101)),ld(X_100,i(X_100))) != ld(i(mult(X_100,X_101)),i(mult(X_100,X_100)))
    | ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))) = ld(i(mult(X_100,X_101)),i(mult(X_100,X_100))) ),
    inference(resolve,[$cnf( $equal(ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))),ld(i(mult(X_100,X_101)),ld(X_100,i(X_100)))) )],[refute_0_864,refute_0_865]) ).

cnf(refute_0_867,plain,
    ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))) = ld(i(mult(X_100,X_101)),i(mult(X_100,X_100))),
    inference(resolve,[$cnf( $equal(ld(i(mult(X_100,X_101)),ld(X_100,i(X_100))),ld(i(mult(X_100,X_101)),i(mult(X_100,X_100)))) )],[refute_0_859,refute_0_866]) ).

cnf(refute_0_868,plain,
    ( ld(i(mult(X_100,X_101)),i(mult(X_100,X_100))) != rd(mult(X_100,X_101),mult(X_100,X_100))
    | ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))) != ld(i(mult(X_100,X_101)),i(mult(X_100,X_100)))
    | ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))) = rd(mult(X_100,X_101),mult(X_100,X_100)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))))),bind(Y,$fot(ld(i(mult(X_100,X_101)),i(mult(X_100,X_100))))),bind(Z,$fot(rd(mult(X_100,X_101),mult(X_100,X_100))))]]) ).

cnf(refute_0_869,plain,
    ( ld(i(mult(X_100,X_101)),i(mult(X_100,X_100))) != rd(mult(X_100,X_101),mult(X_100,X_100))
    | ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))) = rd(mult(X_100,X_101),mult(X_100,X_100)) ),
    inference(resolve,[$cnf( $equal(ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))),ld(i(mult(X_100,X_101)),i(mult(X_100,X_100)))) )],[refute_0_867,refute_0_868]) ).

cnf(refute_0_870,plain,
    ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))) = rd(mult(X_100,X_101),mult(X_100,X_100)),
    inference(resolve,[$cnf( $equal(ld(i(mult(X_100,X_101)),i(mult(X_100,X_100))),rd(mult(X_100,X_101),mult(X_100,X_100))) )],[refute_0_855,refute_0_869]) ).

cnf(refute_0_871,plain,
    rd(mult(i(X_39),rd(X_107,X_109)),i(X_39)) = ld(i(mult(i(X_39),rd(X_107,X_109))),X_39),
    inference(subst,[],[refute_0_314:[bind(X_19,$fot(mult(i(X_39),rd(X_107,X_109))))]]) ).

cnf(refute_0_872,plain,
    rd(mult(i(X_39),X_107),mult(i(X_39),X_109)) = rd(mult(i(X_39),rd(X_107,X_109)),i(X_39)),
    inference(subst,[],[refute_0_816:[bind(A,$fot(X_107)),bind(X_48,$fot(i(X_39))),bind(X_50,$fot(X_109))]]) ).

cnf(refute_0_873,plain,
    ( rd(mult(i(X_39),X_107),mult(i(X_39),X_109)) != rd(mult(i(X_39),rd(X_107,X_109)),i(X_39))
    | rd(mult(i(X_39),rd(X_107,X_109)),i(X_39)) = rd(mult(i(X_39),X_107),mult(i(X_39),X_109)) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(rd(mult(i(X_39),X_107),mult(i(X_39),X_109)))),bind(Y,$fot(rd(mult(i(X_39),rd(X_107,X_109)),i(X_39))))]]) ).

cnf(refute_0_874,plain,
    rd(mult(i(X_39),rd(X_107,X_109)),i(X_39)) = rd(mult(i(X_39),X_107),mult(i(X_39),X_109)),
    inference(resolve,[$cnf( $equal(rd(mult(i(X_39),X_107),mult(i(X_39),X_109)),rd(mult(i(X_39),rd(X_107,X_109)),i(X_39))) )],[refute_0_872,refute_0_873]) ).

cnf(refute_0_875,plain,
    ( rd(mult(i(X_39),rd(X_107,X_109)),i(X_39)) != ld(i(mult(i(X_39),rd(X_107,X_109))),X_39)
    | rd(mult(i(X_39),rd(X_107,X_109)),i(X_39)) != rd(mult(i(X_39),X_107),mult(i(X_39),X_109))
    | rd(mult(i(X_39),X_107),mult(i(X_39),X_109)) = ld(i(mult(i(X_39),rd(X_107,X_109))),X_39) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(i(X_39),rd(X_107,X_109)),i(X_39)),ld(i(mult(i(X_39),rd(X_107,X_109))),X_39)) ),[0],$fot(rd(mult(i(X_39),X_107),mult(i(X_39),X_109)))]]) ).

cnf(refute_0_876,plain,
    ( rd(mult(i(X_39),rd(X_107,X_109)),i(X_39)) != ld(i(mult(i(X_39),rd(X_107,X_109))),X_39)
    | rd(mult(i(X_39),X_107),mult(i(X_39),X_109)) = ld(i(mult(i(X_39),rd(X_107,X_109))),X_39) ),
    inference(resolve,[$cnf( $equal(rd(mult(i(X_39),rd(X_107,X_109)),i(X_39)),rd(mult(i(X_39),X_107),mult(i(X_39),X_109))) )],[refute_0_874,refute_0_875]) ).

cnf(refute_0_877,plain,
    rd(mult(i(X_39),X_107),mult(i(X_39),X_109)) = ld(i(mult(i(X_39),rd(X_107,X_109))),X_39),
    inference(resolve,[$cnf( $equal(rd(mult(i(X_39),rd(X_107,X_109)),i(X_39)),ld(i(mult(i(X_39),rd(X_107,X_109))),X_39)) )],[refute_0_871,refute_0_876]) ).

cnf(refute_0_878,plain,
    i(i(ld(X_107,X_39))) = ld(X_107,X_39),
    inference(subst,[],[refute_0_52:[bind(X_4,$fot(ld(X_107,X_39)))]]) ).

cnf(refute_0_879,plain,
    ld(i(i(ld(X_107,X_39))),ld(X_109,X_39)) = ld(i(i(ld(X_107,X_39))),ld(X_109,X_39)),
    introduced(tautology,[refl,[$fot(ld(i(i(ld(X_107,X_39))),ld(X_109,X_39)))]]) ).

cnf(refute_0_880,plain,
    ( i(i(ld(X_107,X_39))) != ld(X_107,X_39)
    | ld(i(i(ld(X_107,X_39))),ld(X_109,X_39)) != ld(i(i(ld(X_107,X_39))),ld(X_109,X_39))
    | ld(i(i(ld(X_107,X_39))),ld(X_109,X_39)) = ld(ld(X_107,X_39),ld(X_109,X_39)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(i(i(ld(X_107,X_39))),ld(X_109,X_39)),ld(i(i(ld(X_107,X_39))),ld(X_109,X_39))) ),[1,0],$fot(ld(X_107,X_39))]]) ).

cnf(refute_0_881,plain,
    ( i(i(ld(X_107,X_39))) != ld(X_107,X_39)
    | ld(i(i(ld(X_107,X_39))),ld(X_109,X_39)) = ld(ld(X_107,X_39),ld(X_109,X_39)) ),
    inference(resolve,[$cnf( $equal(ld(i(i(ld(X_107,X_39))),ld(X_109,X_39)),ld(i(i(ld(X_107,X_39))),ld(X_109,X_39))) )],[refute_0_879,refute_0_880]) ).

cnf(refute_0_882,plain,
    ld(i(i(ld(X_107,X_39))),ld(X_109,X_39)) = ld(ld(X_107,X_39),ld(X_109,X_39)),
    inference(resolve,[$cnf( $equal(i(i(ld(X_107,X_39))),ld(X_107,X_39)) )],[refute_0_878,refute_0_881]) ).

cnf(refute_0_883,plain,
    rd(i(ld(X_107,X_39)),i(ld(X_109,X_39))) = ld(i(i(ld(X_107,X_39))),ld(X_109,X_39)),
    inference(subst,[],[refute_0_314:[bind(X_19,$fot(i(ld(X_107,X_39)))),bind(X_39,$fot(ld(X_109,X_39)))]]) ).

cnf(refute_0_884,plain,
    ( ld(i(i(ld(X_107,X_39))),ld(X_109,X_39)) != ld(ld(X_107,X_39),ld(X_109,X_39))
    | rd(i(ld(X_107,X_39)),i(ld(X_109,X_39))) != ld(i(i(ld(X_107,X_39))),ld(X_109,X_39))
    | rd(i(ld(X_107,X_39)),i(ld(X_109,X_39))) = ld(ld(X_107,X_39),ld(X_109,X_39)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(rd(i(ld(X_107,X_39)),i(ld(X_109,X_39))))),bind(Y,$fot(ld(i(i(ld(X_107,X_39))),ld(X_109,X_39)))),bind(Z,$fot(ld(ld(X_107,X_39),ld(X_109,X_39))))]]) ).

cnf(refute_0_885,plain,
    ( ld(i(i(ld(X_107,X_39))),ld(X_109,X_39)) != ld(ld(X_107,X_39),ld(X_109,X_39))
    | rd(i(ld(X_107,X_39)),i(ld(X_109,X_39))) = ld(ld(X_107,X_39),ld(X_109,X_39)) ),
    inference(resolve,[$cnf( $equal(rd(i(ld(X_107,X_39)),i(ld(X_109,X_39))),ld(i(i(ld(X_107,X_39))),ld(X_109,X_39))) )],[refute_0_883,refute_0_884]) ).

cnf(refute_0_886,plain,
    rd(i(ld(X_107,X_39)),i(ld(X_109,X_39))) = ld(ld(X_107,X_39),ld(X_109,X_39)),
    inference(resolve,[$cnf( $equal(ld(i(i(ld(X_107,X_39))),ld(X_109,X_39)),ld(ld(X_107,X_39),ld(X_109,X_39))) )],[refute_0_882,refute_0_885]) ).

cnf(refute_0_887,plain,
    mult(i(X_39),X_109) = i(ld(X_109,X_39)),
    inference(subst,[],[refute_0_109:[bind(X_13,$fot(X_109)),bind(X_19,$fot(X_39))]]) ).

cnf(refute_0_888,plain,
    rd(i(ld(X_107,X_39)),mult(i(X_39),X_109)) = rd(i(ld(X_107,X_39)),mult(i(X_39),X_109)),
    introduced(tautology,[refl,[$fot(rd(i(ld(X_107,X_39)),mult(i(X_39),X_109)))]]) ).

cnf(refute_0_889,plain,
    ( mult(i(X_39),X_109) != i(ld(X_109,X_39))
    | rd(i(ld(X_107,X_39)),mult(i(X_39),X_109)) != rd(i(ld(X_107,X_39)),mult(i(X_39),X_109))
    | rd(i(ld(X_107,X_39)),mult(i(X_39),X_109)) = rd(i(ld(X_107,X_39)),i(ld(X_109,X_39))) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(i(ld(X_107,X_39)),mult(i(X_39),X_109)),rd(i(ld(X_107,X_39)),mult(i(X_39),X_109))) ),[1,1],$fot(i(ld(X_109,X_39)))]]) ).

cnf(refute_0_890,plain,
    ( mult(i(X_39),X_109) != i(ld(X_109,X_39))
    | rd(i(ld(X_107,X_39)),mult(i(X_39),X_109)) = rd(i(ld(X_107,X_39)),i(ld(X_109,X_39))) ),
    inference(resolve,[$cnf( $equal(rd(i(ld(X_107,X_39)),mult(i(X_39),X_109)),rd(i(ld(X_107,X_39)),mult(i(X_39),X_109))) )],[refute_0_888,refute_0_889]) ).

cnf(refute_0_891,plain,
    rd(i(ld(X_107,X_39)),mult(i(X_39),X_109)) = rd(i(ld(X_107,X_39)),i(ld(X_109,X_39))),
    inference(resolve,[$cnf( $equal(mult(i(X_39),X_109),i(ld(X_109,X_39))) )],[refute_0_887,refute_0_890]) ).

cnf(refute_0_892,plain,
    mult(i(X_39),X_107) = i(ld(X_107,X_39)),
    inference(subst,[],[refute_0_109:[bind(X_13,$fot(X_107)),bind(X_19,$fot(X_39))]]) ).

cnf(refute_0_893,plain,
    rd(mult(i(X_39),X_107),mult(i(X_39),X_109)) = rd(mult(i(X_39),X_107),mult(i(X_39),X_109)),
    introduced(tautology,[refl,[$fot(rd(mult(i(X_39),X_107),mult(i(X_39),X_109)))]]) ).

cnf(refute_0_894,plain,
    ( mult(i(X_39),X_107) != i(ld(X_107,X_39))
    | rd(mult(i(X_39),X_107),mult(i(X_39),X_109)) != rd(mult(i(X_39),X_107),mult(i(X_39),X_109))
    | rd(mult(i(X_39),X_107),mult(i(X_39),X_109)) = rd(i(ld(X_107,X_39)),mult(i(X_39),X_109)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(i(X_39),X_107),mult(i(X_39),X_109)),rd(mult(i(X_39),X_107),mult(i(X_39),X_109))) ),[1,0],$fot(i(ld(X_107,X_39)))]]) ).

cnf(refute_0_895,plain,
    ( mult(i(X_39),X_107) != i(ld(X_107,X_39))
    | rd(mult(i(X_39),X_107),mult(i(X_39),X_109)) = rd(i(ld(X_107,X_39)),mult(i(X_39),X_109)) ),
    inference(resolve,[$cnf( $equal(rd(mult(i(X_39),X_107),mult(i(X_39),X_109)),rd(mult(i(X_39),X_107),mult(i(X_39),X_109))) )],[refute_0_893,refute_0_894]) ).

cnf(refute_0_896,plain,
    rd(mult(i(X_39),X_107),mult(i(X_39),X_109)) = rd(i(ld(X_107,X_39)),mult(i(X_39),X_109)),
    inference(resolve,[$cnf( $equal(mult(i(X_39),X_107),i(ld(X_107,X_39))) )],[refute_0_892,refute_0_895]) ).

cnf(refute_0_897,plain,
    ( rd(i(ld(X_107,X_39)),mult(i(X_39),X_109)) != rd(i(ld(X_107,X_39)),i(ld(X_109,X_39)))
    | rd(mult(i(X_39),X_107),mult(i(X_39),X_109)) != rd(i(ld(X_107,X_39)),mult(i(X_39),X_109))
    | rd(mult(i(X_39),X_107),mult(i(X_39),X_109)) = rd(i(ld(X_107,X_39)),i(ld(X_109,X_39))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(rd(mult(i(X_39),X_107),mult(i(X_39),X_109)))),bind(Y,$fot(rd(i(ld(X_107,X_39)),mult(i(X_39),X_109)))),bind(Z,$fot(rd(i(ld(X_107,X_39)),i(ld(X_109,X_39)))))]]) ).

cnf(refute_0_898,plain,
    ( rd(i(ld(X_107,X_39)),mult(i(X_39),X_109)) != rd(i(ld(X_107,X_39)),i(ld(X_109,X_39)))
    | rd(mult(i(X_39),X_107),mult(i(X_39),X_109)) = rd(i(ld(X_107,X_39)),i(ld(X_109,X_39))) ),
    inference(resolve,[$cnf( $equal(rd(mult(i(X_39),X_107),mult(i(X_39),X_109)),rd(i(ld(X_107,X_39)),mult(i(X_39),X_109))) )],[refute_0_896,refute_0_897]) ).

cnf(refute_0_899,plain,
    rd(mult(i(X_39),X_107),mult(i(X_39),X_109)) = rd(i(ld(X_107,X_39)),i(ld(X_109,X_39))),
    inference(resolve,[$cnf( $equal(rd(i(ld(X_107,X_39)),mult(i(X_39),X_109)),rd(i(ld(X_107,X_39)),i(ld(X_109,X_39)))) )],[refute_0_891,refute_0_898]) ).

cnf(refute_0_900,plain,
    ( rd(i(ld(X_107,X_39)),i(ld(X_109,X_39))) != ld(ld(X_107,X_39),ld(X_109,X_39))
    | rd(mult(i(X_39),X_107),mult(i(X_39),X_109)) != rd(i(ld(X_107,X_39)),i(ld(X_109,X_39)))
    | rd(mult(i(X_39),X_107),mult(i(X_39),X_109)) = ld(ld(X_107,X_39),ld(X_109,X_39)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(rd(mult(i(X_39),X_107),mult(i(X_39),X_109)))),bind(Y,$fot(rd(i(ld(X_107,X_39)),i(ld(X_109,X_39))))),bind(Z,$fot(ld(ld(X_107,X_39),ld(X_109,X_39))))]]) ).

cnf(refute_0_901,plain,
    ( rd(i(ld(X_107,X_39)),i(ld(X_109,X_39))) != ld(ld(X_107,X_39),ld(X_109,X_39))
    | rd(mult(i(X_39),X_107),mult(i(X_39),X_109)) = ld(ld(X_107,X_39),ld(X_109,X_39)) ),
    inference(resolve,[$cnf( $equal(rd(mult(i(X_39),X_107),mult(i(X_39),X_109)),rd(i(ld(X_107,X_39)),i(ld(X_109,X_39)))) )],[refute_0_899,refute_0_900]) ).

cnf(refute_0_902,plain,
    rd(mult(i(X_39),X_107),mult(i(X_39),X_109)) = ld(ld(X_107,X_39),ld(X_109,X_39)),
    inference(resolve,[$cnf( $equal(rd(i(ld(X_107,X_39)),i(ld(X_109,X_39))),ld(ld(X_107,X_39),ld(X_109,X_39))) )],[refute_0_886,refute_0_901]) ).

cnf(refute_0_903,plain,
    ( rd(mult(i(X_39),X_107),mult(i(X_39),X_109)) != ld(i(mult(i(X_39),rd(X_107,X_109))),X_39)
    | rd(mult(i(X_39),X_107),mult(i(X_39),X_109)) != ld(ld(X_107,X_39),ld(X_109,X_39))
    | ld(ld(X_107,X_39),ld(X_109,X_39)) = ld(i(mult(i(X_39),rd(X_107,X_109))),X_39) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(i(X_39),X_107),mult(i(X_39),X_109)),ld(i(mult(i(X_39),rd(X_107,X_109))),X_39)) ),[0],$fot(ld(ld(X_107,X_39),ld(X_109,X_39)))]]) ).

cnf(refute_0_904,plain,
    ( rd(mult(i(X_39),X_107),mult(i(X_39),X_109)) != ld(i(mult(i(X_39),rd(X_107,X_109))),X_39)
    | ld(ld(X_107,X_39),ld(X_109,X_39)) = ld(i(mult(i(X_39),rd(X_107,X_109))),X_39) ),
    inference(resolve,[$cnf( $equal(rd(mult(i(X_39),X_107),mult(i(X_39),X_109)),ld(ld(X_107,X_39),ld(X_109,X_39))) )],[refute_0_902,refute_0_903]) ).

cnf(refute_0_905,plain,
    i(i(ld(rd(X_107,X_109),X_39))) = ld(rd(X_107,X_109),X_39),
    inference(subst,[],[refute_0_52:[bind(X_4,$fot(ld(rd(X_107,X_109),X_39)))]]) ).

cnf(refute_0_906,plain,
    mult(i(X_39),rd(X_107,X_109)) = i(ld(rd(X_107,X_109),X_39)),
    inference(subst,[],[refute_0_109:[bind(X_13,$fot(rd(X_107,X_109))),bind(X_19,$fot(X_39))]]) ).

cnf(refute_0_907,plain,
    i(mult(i(X_39),rd(X_107,X_109))) = i(mult(i(X_39),rd(X_107,X_109))),
    introduced(tautology,[refl,[$fot(i(mult(i(X_39),rd(X_107,X_109))))]]) ).

cnf(refute_0_908,plain,
    ( i(mult(i(X_39),rd(X_107,X_109))) != i(mult(i(X_39),rd(X_107,X_109)))
    | mult(i(X_39),rd(X_107,X_109)) != i(ld(rd(X_107,X_109),X_39))
    | i(mult(i(X_39),rd(X_107,X_109))) = i(i(ld(rd(X_107,X_109),X_39))) ),
    introduced(tautology,[equality,[$cnf( $equal(i(mult(i(X_39),rd(X_107,X_109))),i(mult(i(X_39),rd(X_107,X_109)))) ),[1,0],$fot(i(ld(rd(X_107,X_109),X_39)))]]) ).

cnf(refute_0_909,plain,
    ( mult(i(X_39),rd(X_107,X_109)) != i(ld(rd(X_107,X_109),X_39))
    | i(mult(i(X_39),rd(X_107,X_109))) = i(i(ld(rd(X_107,X_109),X_39))) ),
    inference(resolve,[$cnf( $equal(i(mult(i(X_39),rd(X_107,X_109))),i(mult(i(X_39),rd(X_107,X_109)))) )],[refute_0_907,refute_0_908]) ).

cnf(refute_0_910,plain,
    i(mult(i(X_39),rd(X_107,X_109))) = i(i(ld(rd(X_107,X_109),X_39))),
    inference(resolve,[$cnf( $equal(mult(i(X_39),rd(X_107,X_109)),i(ld(rd(X_107,X_109),X_39))) )],[refute_0_906,refute_0_909]) ).

cnf(refute_0_911,plain,
    ( i(i(ld(rd(X_107,X_109),X_39))) != ld(rd(X_107,X_109),X_39)
    | i(mult(i(X_39),rd(X_107,X_109))) != i(i(ld(rd(X_107,X_109),X_39)))
    | i(mult(i(X_39),rd(X_107,X_109))) = ld(rd(X_107,X_109),X_39) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(i(mult(i(X_39),rd(X_107,X_109))))),bind(Y,$fot(i(i(ld(rd(X_107,X_109),X_39))))),bind(Z,$fot(ld(rd(X_107,X_109),X_39)))]]) ).

cnf(refute_0_912,plain,
    ( i(i(ld(rd(X_107,X_109),X_39))) != ld(rd(X_107,X_109),X_39)
    | i(mult(i(X_39),rd(X_107,X_109))) = ld(rd(X_107,X_109),X_39) ),
    inference(resolve,[$cnf( $equal(i(mult(i(X_39),rd(X_107,X_109))),i(i(ld(rd(X_107,X_109),X_39)))) )],[refute_0_910,refute_0_911]) ).

cnf(refute_0_913,plain,
    i(mult(i(X_39),rd(X_107,X_109))) = ld(rd(X_107,X_109),X_39),
    inference(resolve,[$cnf( $equal(i(i(ld(rd(X_107,X_109),X_39))),ld(rd(X_107,X_109),X_39)) )],[refute_0_905,refute_0_912]) ).

cnf(refute_0_914,plain,
    ld(i(mult(i(X_39),rd(X_107,X_109))),X_39) = ld(i(mult(i(X_39),rd(X_107,X_109))),X_39),
    introduced(tautology,[refl,[$fot(ld(i(mult(i(X_39),rd(X_107,X_109))),X_39))]]) ).

cnf(refute_0_915,plain,
    ( i(mult(i(X_39),rd(X_107,X_109))) != ld(rd(X_107,X_109),X_39)
    | ld(i(mult(i(X_39),rd(X_107,X_109))),X_39) != ld(i(mult(i(X_39),rd(X_107,X_109))),X_39)
    | ld(i(mult(i(X_39),rd(X_107,X_109))),X_39) = ld(ld(rd(X_107,X_109),X_39),X_39) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(i(mult(i(X_39),rd(X_107,X_109))),X_39),ld(i(mult(i(X_39),rd(X_107,X_109))),X_39)) ),[1,0],$fot(ld(rd(X_107,X_109),X_39))]]) ).

cnf(refute_0_916,plain,
    ( i(mult(i(X_39),rd(X_107,X_109))) != ld(rd(X_107,X_109),X_39)
    | ld(i(mult(i(X_39),rd(X_107,X_109))),X_39) = ld(ld(rd(X_107,X_109),X_39),X_39) ),
    inference(resolve,[$cnf( $equal(ld(i(mult(i(X_39),rd(X_107,X_109))),X_39),ld(i(mult(i(X_39),rd(X_107,X_109))),X_39)) )],[refute_0_914,refute_0_915]) ).

cnf(refute_0_917,plain,
    ld(i(mult(i(X_39),rd(X_107,X_109))),X_39) = ld(ld(rd(X_107,X_109),X_39),X_39),
    inference(resolve,[$cnf( $equal(i(mult(i(X_39),rd(X_107,X_109))),ld(rd(X_107,X_109),X_39)) )],[refute_0_913,refute_0_916]) ).

cnf(refute_0_918,plain,
    ( ld(i(mult(i(X_39),rd(X_107,X_109))),X_39) != ld(ld(rd(X_107,X_109),X_39),X_39)
    | ld(ld(X_107,X_39),ld(X_109,X_39)) != ld(i(mult(i(X_39),rd(X_107,X_109))),X_39)
    | ld(ld(X_107,X_39),ld(X_109,X_39)) = ld(ld(rd(X_107,X_109),X_39),X_39) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_107,X_39),ld(X_109,X_39)),ld(i(mult(i(X_39),rd(X_107,X_109))),X_39)) ),[1],$fot(ld(ld(rd(X_107,X_109),X_39),X_39))]]) ).

cnf(refute_0_919,plain,
    ( ld(ld(X_107,X_39),ld(X_109,X_39)) != ld(i(mult(i(X_39),rd(X_107,X_109))),X_39)
    | ld(ld(X_107,X_39),ld(X_109,X_39)) = ld(ld(rd(X_107,X_109),X_39),X_39) ),
    inference(resolve,[$cnf( $equal(ld(i(mult(i(X_39),rd(X_107,X_109))),X_39),ld(ld(rd(X_107,X_109),X_39),X_39)) )],[refute_0_917,refute_0_918]) ).

cnf(refute_0_920,plain,
    ( rd(mult(i(X_39),X_107),mult(i(X_39),X_109)) != ld(i(mult(i(X_39),rd(X_107,X_109))),X_39)
    | ld(ld(X_107,X_39),ld(X_109,X_39)) = ld(ld(rd(X_107,X_109),X_39),X_39) ),
    inference(resolve,[$cnf( $equal(ld(ld(X_107,X_39),ld(X_109,X_39)),ld(i(mult(i(X_39),rd(X_107,X_109))),X_39)) )],[refute_0_904,refute_0_919]) ).

cnf(refute_0_921,plain,
    ld(ld(X_107,X_39),ld(X_109,X_39)) = ld(ld(rd(X_107,X_109),X_39),X_39),
    inference(resolve,[$cnf( $equal(rd(mult(i(X_39),X_107),mult(i(X_39),X_109)),ld(i(mult(i(X_39),rd(X_107,X_109))),X_39)) )],[refute_0_877,refute_0_920]) ).

cnf(refute_0_922,plain,
    ( ld(ld(X_107,X_39),ld(X_109,X_39)) != ld(ld(rd(X_107,X_109),X_39),X_39)
    | ld(ld(rd(X_107,X_109),X_39),X_39) = ld(ld(X_107,X_39),ld(X_109,X_39)) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ld(ld(X_107,X_39),ld(X_109,X_39)))),bind(Y,$fot(ld(ld(rd(X_107,X_109),X_39),X_39)))]]) ).

cnf(refute_0_923,plain,
    ld(ld(rd(X_107,X_109),X_39),X_39) = ld(ld(X_107,X_39),ld(X_109,X_39)),
    inference(resolve,[$cnf( $equal(ld(ld(X_107,X_39),ld(X_109,X_39)),ld(ld(rd(X_107,X_109),X_39),X_39)) )],[refute_0_921,refute_0_922]) ).

cnf(refute_0_924,plain,
    ld(ld(rd(X_101,X_100),i(X_100)),i(X_100)) = ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))),
    inference(subst,[],[refute_0_923:[bind(X_107,$fot(X_101)),bind(X_109,$fot(X_100)),bind(X_39,$fot(i(X_100)))]]) ).

cnf(refute_0_925,plain,
    ( ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))) != rd(mult(X_100,X_101),mult(X_100,X_100))
    | ld(ld(rd(X_101,X_100),i(X_100)),i(X_100)) != ld(ld(X_101,i(X_100)),ld(X_100,i(X_100)))
    | ld(ld(rd(X_101,X_100),i(X_100)),i(X_100)) = rd(mult(X_100,X_101),mult(X_100,X_100)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(ld(ld(rd(X_101,X_100),i(X_100)),i(X_100)))),bind(Y,$fot(ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))))),bind(Z,$fot(rd(mult(X_100,X_101),mult(X_100,X_100))))]]) ).

cnf(refute_0_926,plain,
    ( ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))) != rd(mult(X_100,X_101),mult(X_100,X_100))
    | ld(ld(rd(X_101,X_100),i(X_100)),i(X_100)) = rd(mult(X_100,X_101),mult(X_100,X_100)) ),
    inference(resolve,[$cnf( $equal(ld(ld(rd(X_101,X_100),i(X_100)),i(X_100)),ld(ld(X_101,i(X_100)),ld(X_100,i(X_100)))) )],[refute_0_924,refute_0_925]) ).

cnf(refute_0_927,plain,
    ld(ld(rd(X_101,X_100),i(X_100)),i(X_100)) = rd(mult(X_100,X_101),mult(X_100,X_100)),
    inference(resolve,[$cnf( $equal(ld(ld(X_101,i(X_100)),ld(X_100,i(X_100))),rd(mult(X_100,X_101),mult(X_100,X_100))) )],[refute_0_870,refute_0_926]) ).

cnf(refute_0_928,plain,
    ( i(rd(X_100,rd(mult(X_100,X_101),X_100))) != ld(ld(rd(X_101,X_100),i(X_100)),i(X_100))
    | ld(ld(rd(X_101,X_100),i(X_100)),i(X_100)) != rd(mult(X_100,X_101),mult(X_100,X_100))
    | i(rd(X_100,rd(mult(X_100,X_101),X_100))) = rd(mult(X_100,X_101),mult(X_100,X_100)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(i(rd(X_100,rd(mult(X_100,X_101),X_100))),rd(mult(X_100,X_101),mult(X_100,X_100))) ),[0],$fot(ld(ld(rd(X_101,X_100),i(X_100)),i(X_100)))]]) ).

cnf(refute_0_929,plain,
    ( i(rd(X_100,rd(mult(X_100,X_101),X_100))) != ld(ld(rd(X_101,X_100),i(X_100)),i(X_100))
    | i(rd(X_100,rd(mult(X_100,X_101),X_100))) = rd(mult(X_100,X_101),mult(X_100,X_100)) ),
    inference(resolve,[$cnf( $equal(ld(ld(rd(X_101,X_100),i(X_100)),i(X_100)),rd(mult(X_100,X_101),mult(X_100,X_100))) )],[refute_0_927,refute_0_928]) ).

cnf(refute_0_930,plain,
    ( mult(rd(mult(X_100,X_101),X_100),i(X_100)) != ld(ld(rd(X_101,X_100),i(X_100)),i(X_100))
    | i(rd(X_100,rd(mult(X_100,X_101),X_100))) = rd(mult(X_100,X_101),mult(X_100,X_100)) ),
    inference(resolve,[$cnf( $equal(i(rd(X_100,rd(mult(X_100,X_101),X_100))),ld(ld(rd(X_101,X_100),i(X_100)),i(X_100))) )],[refute_0_811,refute_0_929]) ).

cnf(refute_0_931,plain,
    i(rd(X_100,rd(mult(X_100,X_101),X_100))) = rd(mult(X_100,X_101),mult(X_100,X_100)),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_100,X_101),X_100),i(X_100)),ld(ld(rd(X_101,X_100),i(X_100)),i(X_100))) )],[refute_0_755,refute_0_930]) ).

cnf(refute_0_932,plain,
    rd(i(rd(X_66,mult(X_66,X_67))),B) = i(mult(B,rd(X_66,mult(X_66,X_67)))),
    inference(subst,[],[refute_0_404:[bind(X_14,$fot(rd(X_66,mult(X_66,X_67))))]]) ).

cnf(refute_0_933,plain,
    i(ld(i(A),ld(X_60,i(A)))) = ld(i(A),mult(X_60,i(A))),
    inference(subst,[],[refute_0_446:[bind(X_58,$fot(X_60)),bind(X_59,$fot(i(A)))]]) ).

cnf(refute_0_934,plain,
    ld(X_60,i(A)) = i(mult(A,X_60)),
    inference(subst,[],[refute_0_222:[bind(X_26,$fot(X_60))]]) ).

cnf(refute_0_935,plain,
    ( i(ld(i(A),ld(X_60,i(A)))) != ld(i(A),mult(X_60,i(A)))
    | ld(X_60,i(A)) != i(mult(A,X_60))
    | i(ld(i(A),i(mult(A,X_60)))) = ld(i(A),mult(X_60,i(A))) ),
    introduced(tautology,[equality,[$cnf( $equal(i(ld(i(A),ld(X_60,i(A)))),ld(i(A),mult(X_60,i(A)))) ),[0,0,1],$fot(i(mult(A,X_60)))]]) ).

cnf(refute_0_936,plain,
    ( i(ld(i(A),ld(X_60,i(A)))) != ld(i(A),mult(X_60,i(A)))
    | i(ld(i(A),i(mult(A,X_60)))) = ld(i(A),mult(X_60,i(A))) ),
    inference(resolve,[$cnf( $equal(ld(X_60,i(A)),i(mult(A,X_60))) )],[refute_0_934,refute_0_935]) ).

cnf(refute_0_937,plain,
    i(ld(i(A),i(mult(A,X_60)))) = ld(i(A),mult(X_60,i(A))),
    inference(resolve,[$cnf( $equal(i(ld(i(A),ld(X_60,i(A)))),ld(i(A),mult(X_60,i(A)))) )],[refute_0_933,refute_0_936]) ).

cnf(refute_0_938,plain,
    i(i(rd(A,mult(A,X_60)))) = rd(A,mult(A,X_60)),
    inference(subst,[],[refute_0_52:[bind(X_4,$fot(rd(A,mult(A,X_60))))]]) ).

cnf(refute_0_939,plain,
    mult(mult(A,X_60),i(A)) = i(rd(A,mult(A,X_60))),
    inference(subst,[],[refute_0_25:[bind(X_12,$fot(mult(A,X_60)))]]) ).

cnf(refute_0_940,plain,
    i(mult(mult(A,X_60),i(A))) = i(mult(mult(A,X_60),i(A))),
    introduced(tautology,[refl,[$fot(i(mult(mult(A,X_60),i(A))))]]) ).

cnf(refute_0_941,plain,
    ( i(mult(mult(A,X_60),i(A))) != i(mult(mult(A,X_60),i(A)))
    | mult(mult(A,X_60),i(A)) != i(rd(A,mult(A,X_60)))
    | i(mult(mult(A,X_60),i(A))) = i(i(rd(A,mult(A,X_60)))) ),
    introduced(tautology,[equality,[$cnf( $equal(i(mult(mult(A,X_60),i(A))),i(mult(mult(A,X_60),i(A)))) ),[1,0],$fot(i(rd(A,mult(A,X_60))))]]) ).

cnf(refute_0_942,plain,
    ( mult(mult(A,X_60),i(A)) != i(rd(A,mult(A,X_60)))
    | i(mult(mult(A,X_60),i(A))) = i(i(rd(A,mult(A,X_60)))) ),
    inference(resolve,[$cnf( $equal(i(mult(mult(A,X_60),i(A))),i(mult(mult(A,X_60),i(A)))) )],[refute_0_940,refute_0_941]) ).

cnf(refute_0_943,plain,
    i(mult(mult(A,X_60),i(A))) = i(i(rd(A,mult(A,X_60)))),
    inference(resolve,[$cnf( $equal(mult(mult(A,X_60),i(A)),i(rd(A,mult(A,X_60)))) )],[refute_0_939,refute_0_942]) ).

cnf(refute_0_944,plain,
    ( i(i(rd(A,mult(A,X_60)))) != rd(A,mult(A,X_60))
    | i(mult(mult(A,X_60),i(A))) != i(i(rd(A,mult(A,X_60))))
    | i(mult(mult(A,X_60),i(A))) = rd(A,mult(A,X_60)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(i(mult(mult(A,X_60),i(A))))),bind(Y,$fot(i(i(rd(A,mult(A,X_60)))))),bind(Z,$fot(rd(A,mult(A,X_60))))]]) ).

cnf(refute_0_945,plain,
    ( i(i(rd(A,mult(A,X_60)))) != rd(A,mult(A,X_60))
    | i(mult(mult(A,X_60),i(A))) = rd(A,mult(A,X_60)) ),
    inference(resolve,[$cnf( $equal(i(mult(mult(A,X_60),i(A))),i(i(rd(A,mult(A,X_60))))) )],[refute_0_943,refute_0_944]) ).

cnf(refute_0_946,plain,
    i(mult(mult(A,X_60),i(A))) = rd(A,mult(A,X_60)),
    inference(resolve,[$cnf( $equal(i(i(rd(A,mult(A,X_60)))),rd(A,mult(A,X_60))) )],[refute_0_938,refute_0_945]) ).

cnf(refute_0_947,plain,
    ld(i(A),i(mult(A,X_60))) = i(mult(mult(A,X_60),i(A))),
    inference(subst,[],[refute_0_222:[bind(A,$fot(mult(A,X_60))),bind(X_26,$fot(i(A)))]]) ).

cnf(refute_0_948,plain,
    ( i(mult(mult(A,X_60),i(A))) != rd(A,mult(A,X_60))
    | ld(i(A),i(mult(A,X_60))) != i(mult(mult(A,X_60),i(A)))
    | ld(i(A),i(mult(A,X_60))) = rd(A,mult(A,X_60)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(ld(i(A),i(mult(A,X_60))))),bind(Y,$fot(i(mult(mult(A,X_60),i(A))))),bind(Z,$fot(rd(A,mult(A,X_60))))]]) ).

cnf(refute_0_949,plain,
    ( i(mult(mult(A,X_60),i(A))) != rd(A,mult(A,X_60))
    | ld(i(A),i(mult(A,X_60))) = rd(A,mult(A,X_60)) ),
    inference(resolve,[$cnf( $equal(ld(i(A),i(mult(A,X_60))),i(mult(mult(A,X_60),i(A)))) )],[refute_0_947,refute_0_948]) ).

cnf(refute_0_950,plain,
    ld(i(A),i(mult(A,X_60))) = rd(A,mult(A,X_60)),
    inference(resolve,[$cnf( $equal(i(mult(mult(A,X_60),i(A))),rd(A,mult(A,X_60))) )],[refute_0_946,refute_0_949]) ).

cnf(refute_0_951,plain,
    i(ld(i(A),i(mult(A,X_60)))) = i(ld(i(A),i(mult(A,X_60)))),
    introduced(tautology,[refl,[$fot(i(ld(i(A),i(mult(A,X_60)))))]]) ).

cnf(refute_0_952,plain,
    ( i(ld(i(A),i(mult(A,X_60)))) != i(ld(i(A),i(mult(A,X_60))))
    | ld(i(A),i(mult(A,X_60))) != rd(A,mult(A,X_60))
    | i(ld(i(A),i(mult(A,X_60)))) = i(rd(A,mult(A,X_60))) ),
    introduced(tautology,[equality,[$cnf( $equal(i(ld(i(A),i(mult(A,X_60)))),i(ld(i(A),i(mult(A,X_60))))) ),[1,0],$fot(rd(A,mult(A,X_60)))]]) ).

cnf(refute_0_953,plain,
    ( ld(i(A),i(mult(A,X_60))) != rd(A,mult(A,X_60))
    | i(ld(i(A),i(mult(A,X_60)))) = i(rd(A,mult(A,X_60))) ),
    inference(resolve,[$cnf( $equal(i(ld(i(A),i(mult(A,X_60)))),i(ld(i(A),i(mult(A,X_60))))) )],[refute_0_951,refute_0_952]) ).

cnf(refute_0_954,plain,
    i(ld(i(A),i(mult(A,X_60)))) = i(rd(A,mult(A,X_60))),
    inference(resolve,[$cnf( $equal(ld(i(A),i(mult(A,X_60))),rd(A,mult(A,X_60))) )],[refute_0_950,refute_0_953]) ).

cnf(refute_0_955,plain,
    ( i(ld(i(A),i(mult(A,X_60)))) != i(rd(A,mult(A,X_60)))
    | i(ld(i(A),i(mult(A,X_60)))) != ld(i(A),mult(X_60,i(A)))
    | i(rd(A,mult(A,X_60))) = ld(i(A),mult(X_60,i(A))) ),
    introduced(tautology,[equality,[$cnf( $equal(i(ld(i(A),i(mult(A,X_60)))),ld(i(A),mult(X_60,i(A)))) ),[0],$fot(i(rd(A,mult(A,X_60))))]]) ).

cnf(refute_0_956,plain,
    ( i(ld(i(A),i(mult(A,X_60)))) != ld(i(A),mult(X_60,i(A)))
    | i(rd(A,mult(A,X_60))) = ld(i(A),mult(X_60,i(A))) ),
    inference(resolve,[$cnf( $equal(i(ld(i(A),i(mult(A,X_60)))),i(rd(A,mult(A,X_60)))) )],[refute_0_954,refute_0_955]) ).

cnf(refute_0_957,plain,
    i(i(rd(A,rd(A,X_60)))) = rd(A,rd(A,X_60)),
    inference(subst,[],[refute_0_52:[bind(X_4,$fot(rd(A,rd(A,X_60))))]]) ).

cnf(refute_0_958,plain,
    mult(rd(A,X_60),i(A)) = i(rd(A,rd(A,X_60))),
    inference(subst,[],[refute_0_25:[bind(X_12,$fot(rd(A,X_60)))]]) ).

cnf(refute_0_959,plain,
    i(mult(rd(A,X_60),i(A))) = i(mult(rd(A,X_60),i(A))),
    introduced(tautology,[refl,[$fot(i(mult(rd(A,X_60),i(A))))]]) ).

cnf(refute_0_960,plain,
    ( i(mult(rd(A,X_60),i(A))) != i(mult(rd(A,X_60),i(A)))
    | mult(rd(A,X_60),i(A)) != i(rd(A,rd(A,X_60)))
    | i(mult(rd(A,X_60),i(A))) = i(i(rd(A,rd(A,X_60)))) ),
    introduced(tautology,[equality,[$cnf( $equal(i(mult(rd(A,X_60),i(A))),i(mult(rd(A,X_60),i(A)))) ),[1,0],$fot(i(rd(A,rd(A,X_60))))]]) ).

cnf(refute_0_961,plain,
    ( mult(rd(A,X_60),i(A)) != i(rd(A,rd(A,X_60)))
    | i(mult(rd(A,X_60),i(A))) = i(i(rd(A,rd(A,X_60)))) ),
    inference(resolve,[$cnf( $equal(i(mult(rd(A,X_60),i(A))),i(mult(rd(A,X_60),i(A)))) )],[refute_0_959,refute_0_960]) ).

cnf(refute_0_962,plain,
    i(mult(rd(A,X_60),i(A))) = i(i(rd(A,rd(A,X_60)))),
    inference(resolve,[$cnf( $equal(mult(rd(A,X_60),i(A)),i(rd(A,rd(A,X_60)))) )],[refute_0_958,refute_0_961]) ).

cnf(refute_0_963,plain,
    ( i(i(rd(A,rd(A,X_60)))) != rd(A,rd(A,X_60))
    | i(mult(rd(A,X_60),i(A))) != i(i(rd(A,rd(A,X_60))))
    | i(mult(rd(A,X_60),i(A))) = rd(A,rd(A,X_60)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(i(mult(rd(A,X_60),i(A))))),bind(Y,$fot(i(i(rd(A,rd(A,X_60)))))),bind(Z,$fot(rd(A,rd(A,X_60))))]]) ).

cnf(refute_0_964,plain,
    ( i(i(rd(A,rd(A,X_60)))) != rd(A,rd(A,X_60))
    | i(mult(rd(A,X_60),i(A))) = rd(A,rd(A,X_60)) ),
    inference(resolve,[$cnf( $equal(i(mult(rd(A,X_60),i(A))),i(i(rd(A,rd(A,X_60))))) )],[refute_0_962,refute_0_963]) ).

cnf(refute_0_965,plain,
    i(mult(rd(A,X_60),i(A))) = rd(A,rd(A,X_60)),
    inference(resolve,[$cnf( $equal(i(i(rd(A,rd(A,X_60)))),rd(A,rd(A,X_60))) )],[refute_0_957,refute_0_964]) ).

cnf(refute_0_966,plain,
    ld(i(A),i(rd(A,X_60))) = i(mult(rd(A,X_60),i(A))),
    inference(subst,[],[refute_0_222:[bind(A,$fot(rd(A,X_60))),bind(X_26,$fot(i(A)))]]) ).

cnf(refute_0_967,plain,
    ( i(mult(rd(A,X_60),i(A))) != rd(A,rd(A,X_60))
    | ld(i(A),i(rd(A,X_60))) != i(mult(rd(A,X_60),i(A)))
    | ld(i(A),i(rd(A,X_60))) = rd(A,rd(A,X_60)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(ld(i(A),i(rd(A,X_60))))),bind(Y,$fot(i(mult(rd(A,X_60),i(A))))),bind(Z,$fot(rd(A,rd(A,X_60))))]]) ).

cnf(refute_0_968,plain,
    ( i(mult(rd(A,X_60),i(A))) != rd(A,rd(A,X_60))
    | ld(i(A),i(rd(A,X_60))) = rd(A,rd(A,X_60)) ),
    inference(resolve,[$cnf( $equal(ld(i(A),i(rd(A,X_60))),i(mult(rd(A,X_60),i(A)))) )],[refute_0_966,refute_0_967]) ).

cnf(refute_0_969,plain,
    ld(i(A),i(rd(A,X_60))) = rd(A,rd(A,X_60)),
    inference(resolve,[$cnf( $equal(i(mult(rd(A,X_60),i(A))),rd(A,rd(A,X_60))) )],[refute_0_965,refute_0_968]) ).

cnf(refute_0_970,plain,
    mult(X_60,i(A)) = i(rd(A,X_60)),
    inference(subst,[],[refute_0_25:[bind(X_12,$fot(X_60))]]) ).

cnf(refute_0_971,plain,
    ld(i(A),mult(X_60,i(A))) = ld(i(A),mult(X_60,i(A))),
    introduced(tautology,[refl,[$fot(ld(i(A),mult(X_60,i(A))))]]) ).

cnf(refute_0_972,plain,
    ( ld(i(A),mult(X_60,i(A))) != ld(i(A),mult(X_60,i(A)))
    | mult(X_60,i(A)) != i(rd(A,X_60))
    | ld(i(A),mult(X_60,i(A))) = ld(i(A),i(rd(A,X_60))) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(i(A),mult(X_60,i(A))),ld(i(A),mult(X_60,i(A)))) ),[1,1],$fot(i(rd(A,X_60)))]]) ).

cnf(refute_0_973,plain,
    ( mult(X_60,i(A)) != i(rd(A,X_60))
    | ld(i(A),mult(X_60,i(A))) = ld(i(A),i(rd(A,X_60))) ),
    inference(resolve,[$cnf( $equal(ld(i(A),mult(X_60,i(A))),ld(i(A),mult(X_60,i(A)))) )],[refute_0_971,refute_0_972]) ).

cnf(refute_0_974,plain,
    ld(i(A),mult(X_60,i(A))) = ld(i(A),i(rd(A,X_60))),
    inference(resolve,[$cnf( $equal(mult(X_60,i(A)),i(rd(A,X_60))) )],[refute_0_970,refute_0_973]) ).

cnf(refute_0_975,plain,
    ( ld(i(A),i(rd(A,X_60))) != rd(A,rd(A,X_60))
    | ld(i(A),mult(X_60,i(A))) != ld(i(A),i(rd(A,X_60)))
    | ld(i(A),mult(X_60,i(A))) = rd(A,rd(A,X_60)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(ld(i(A),mult(X_60,i(A))))),bind(Y,$fot(ld(i(A),i(rd(A,X_60))))),bind(Z,$fot(rd(A,rd(A,X_60))))]]) ).

cnf(refute_0_976,plain,
    ( ld(i(A),i(rd(A,X_60))) != rd(A,rd(A,X_60))
    | ld(i(A),mult(X_60,i(A))) = rd(A,rd(A,X_60)) ),
    inference(resolve,[$cnf( $equal(ld(i(A),mult(X_60,i(A))),ld(i(A),i(rd(A,X_60)))) )],[refute_0_974,refute_0_975]) ).

cnf(refute_0_977,plain,
    ld(i(A),mult(X_60,i(A))) = rd(A,rd(A,X_60)),
    inference(resolve,[$cnf( $equal(ld(i(A),i(rd(A,X_60))),rd(A,rd(A,X_60))) )],[refute_0_969,refute_0_976]) ).

cnf(refute_0_978,plain,
    ( i(rd(A,mult(A,X_60))) != ld(i(A),mult(X_60,i(A)))
    | ld(i(A),mult(X_60,i(A))) != rd(A,rd(A,X_60))
    | i(rd(A,mult(A,X_60))) = rd(A,rd(A,X_60)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(i(rd(A,mult(A,X_60))),rd(A,rd(A,X_60))) ),[0],$fot(ld(i(A),mult(X_60,i(A))))]]) ).

cnf(refute_0_979,plain,
    ( i(rd(A,mult(A,X_60))) != ld(i(A),mult(X_60,i(A)))
    | i(rd(A,mult(A,X_60))) = rd(A,rd(A,X_60)) ),
    inference(resolve,[$cnf( $equal(ld(i(A),mult(X_60,i(A))),rd(A,rd(A,X_60))) )],[refute_0_977,refute_0_978]) ).

cnf(refute_0_980,plain,
    ( i(ld(i(A),i(mult(A,X_60)))) != ld(i(A),mult(X_60,i(A)))
    | i(rd(A,mult(A,X_60))) = rd(A,rd(A,X_60)) ),
    inference(resolve,[$cnf( $equal(i(rd(A,mult(A,X_60))),ld(i(A),mult(X_60,i(A)))) )],[refute_0_956,refute_0_979]) ).

cnf(refute_0_981,plain,
    i(rd(A,mult(A,X_60))) = rd(A,rd(A,X_60)),
    inference(resolve,[$cnf( $equal(i(ld(i(A),i(mult(A,X_60)))),ld(i(A),mult(X_60,i(A)))) )],[refute_0_937,refute_0_980]) ).

cnf(refute_0_982,plain,
    i(rd(X_66,mult(X_66,X_67))) = rd(X_66,rd(X_66,X_67)),
    inference(subst,[],[refute_0_981:[bind(A,$fot(X_66)),bind(X_60,$fot(X_67))]]) ).

cnf(refute_0_983,plain,
    ( i(rd(X_66,mult(X_66,X_67))) != rd(X_66,rd(X_66,X_67))
    | rd(i(rd(X_66,mult(X_66,X_67))),B) != i(mult(B,rd(X_66,mult(X_66,X_67))))
    | rd(rd(X_66,rd(X_66,X_67)),B) = i(mult(B,rd(X_66,mult(X_66,X_67)))) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(i(rd(X_66,mult(X_66,X_67))),B),i(mult(B,rd(X_66,mult(X_66,X_67))))) ),[0,0],$fot(rd(X_66,rd(X_66,X_67)))]]) ).

cnf(refute_0_984,plain,
    ( rd(i(rd(X_66,mult(X_66,X_67))),B) != i(mult(B,rd(X_66,mult(X_66,X_67))))
    | rd(rd(X_66,rd(X_66,X_67)),B) = i(mult(B,rd(X_66,mult(X_66,X_67)))) ),
    inference(resolve,[$cnf( $equal(i(rd(X_66,mult(X_66,X_67))),rd(X_66,rd(X_66,X_67))) )],[refute_0_982,refute_0_983]) ).

cnf(refute_0_985,plain,
    rd(rd(X_66,rd(X_66,X_67)),B) = i(mult(B,rd(X_66,mult(X_66,X_67)))),
    inference(resolve,[$cnf( $equal(rd(i(rd(X_66,mult(X_66,X_67))),B),i(mult(B,rd(X_66,mult(X_66,X_67))))) )],[refute_0_932,refute_0_984]) ).

cnf(refute_0_986,plain,
    ( rd(rd(X_66,rd(X_66,X_67)),B) != i(mult(B,rd(X_66,mult(X_66,X_67))))
    | i(mult(B,rd(X_66,mult(X_66,X_67)))) = rd(rd(X_66,rd(X_66,X_67)),B) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(rd(rd(X_66,rd(X_66,X_67)),B))),bind(Y,$fot(i(mult(B,rd(X_66,mult(X_66,X_67))))))]]) ).

cnf(refute_0_987,plain,
    i(mult(B,rd(X_66,mult(X_66,X_67)))) = rd(rd(X_66,rd(X_66,X_67)),B),
    inference(resolve,[$cnf( $equal(rd(rd(X_66,rd(X_66,X_67)),B),i(mult(B,rd(X_66,mult(X_66,X_67))))) )],[refute_0_985,refute_0_986]) ).

cnf(refute_0_988,plain,
    i(mult(X_100,rd(X_100,mult(X_100,X_101)))) = rd(rd(X_100,rd(X_100,X_101)),X_100),
    inference(subst,[],[refute_0_987:[bind(B,$fot(X_100)),bind(X_66,$fot(X_100)),bind(X_67,$fot(X_101))]]) ).

cnf(refute_0_989,plain,
    mult(A,ld(A,rd(A,rd(X_124,A)))) = rd(A,rd(X_124,A)),
    inference(subst,[],[c01:[bind(B,$fot(rd(A,rd(X_124,A))))]]) ).

cnf(refute_0_990,plain,
    ld(A,rd(A,rd(X_124,A))) = rd(A,X_124),
    inference(subst,[],[refute_0_398:[bind(A,$fot(X_124)),bind(X_95,$fot(A))]]) ).

cnf(refute_0_991,plain,
    ( ld(A,rd(A,rd(X_124,A))) != rd(A,X_124)
    | mult(A,ld(A,rd(A,rd(X_124,A)))) != rd(A,rd(X_124,A))
    | mult(A,rd(A,X_124)) = rd(A,rd(X_124,A)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(A,ld(A,rd(A,rd(X_124,A)))),rd(A,rd(X_124,A))) ),[0,1],$fot(rd(A,X_124))]]) ).

cnf(refute_0_992,plain,
    ( mult(A,ld(A,rd(A,rd(X_124,A)))) != rd(A,rd(X_124,A))
    | mult(A,rd(A,X_124)) = rd(A,rd(X_124,A)) ),
    inference(resolve,[$cnf( $equal(ld(A,rd(A,rd(X_124,A))),rd(A,X_124)) )],[refute_0_990,refute_0_991]) ).

cnf(refute_0_993,plain,
    mult(A,rd(A,X_124)) = rd(A,rd(X_124,A)),
    inference(resolve,[$cnf( $equal(mult(A,ld(A,rd(A,rd(X_124,A)))),rd(A,rd(X_124,A))) )],[refute_0_989,refute_0_992]) ).

cnf(refute_0_994,plain,
    ( mult(A,rd(A,X_124)) != rd(A,rd(X_124,A))
    | rd(A,rd(X_124,A)) = mult(A,rd(A,X_124)) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(mult(A,rd(A,X_124)))),bind(Y,$fot(rd(A,rd(X_124,A))))]]) ).

cnf(refute_0_995,plain,
    rd(A,rd(X_124,A)) = mult(A,rd(A,X_124)),
    inference(resolve,[$cnf( $equal(mult(A,rd(A,X_124)),rd(A,rd(X_124,A))) )],[refute_0_993,refute_0_994]) ).

cnf(refute_0_996,plain,
    rd(X_100,rd(mult(X_100,X_101),X_100)) = mult(X_100,rd(X_100,mult(X_100,X_101))),
    inference(subst,[],[refute_0_995:[bind(A,$fot(X_100)),bind(X_124,$fot(mult(X_100,X_101)))]]) ).

cnf(refute_0_997,plain,
    i(rd(X_100,rd(mult(X_100,X_101),X_100))) = i(rd(X_100,rd(mult(X_100,X_101),X_100))),
    introduced(tautology,[refl,[$fot(i(rd(X_100,rd(mult(X_100,X_101),X_100))))]]) ).

cnf(refute_0_998,plain,
    ( i(rd(X_100,rd(mult(X_100,X_101),X_100))) != i(rd(X_100,rd(mult(X_100,X_101),X_100)))
    | rd(X_100,rd(mult(X_100,X_101),X_100)) != mult(X_100,rd(X_100,mult(X_100,X_101)))
    | i(rd(X_100,rd(mult(X_100,X_101),X_100))) = i(mult(X_100,rd(X_100,mult(X_100,X_101)))) ),
    introduced(tautology,[equality,[$cnf( $equal(i(rd(X_100,rd(mult(X_100,X_101),X_100))),i(rd(X_100,rd(mult(X_100,X_101),X_100)))) ),[1,0],$fot(mult(X_100,rd(X_100,mult(X_100,X_101))))]]) ).

cnf(refute_0_999,plain,
    ( rd(X_100,rd(mult(X_100,X_101),X_100)) != mult(X_100,rd(X_100,mult(X_100,X_101)))
    | i(rd(X_100,rd(mult(X_100,X_101),X_100))) = i(mult(X_100,rd(X_100,mult(X_100,X_101)))) ),
    inference(resolve,[$cnf( $equal(i(rd(X_100,rd(mult(X_100,X_101),X_100))),i(rd(X_100,rd(mult(X_100,X_101),X_100)))) )],[refute_0_997,refute_0_998]) ).

cnf(refute_0_1000,plain,
    i(rd(X_100,rd(mult(X_100,X_101),X_100))) = i(mult(X_100,rd(X_100,mult(X_100,X_101)))),
    inference(resolve,[$cnf( $equal(rd(X_100,rd(mult(X_100,X_101),X_100)),mult(X_100,rd(X_100,mult(X_100,X_101)))) )],[refute_0_996,refute_0_999]) ).

cnf(refute_0_1001,plain,
    ( i(mult(X_100,rd(X_100,mult(X_100,X_101)))) != rd(rd(X_100,rd(X_100,X_101)),X_100)
    | i(rd(X_100,rd(mult(X_100,X_101),X_100))) != i(mult(X_100,rd(X_100,mult(X_100,X_101))))
    | i(rd(X_100,rd(mult(X_100,X_101),X_100))) = rd(rd(X_100,rd(X_100,X_101)),X_100) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(i(rd(X_100,rd(mult(X_100,X_101),X_100))))),bind(Y,$fot(i(mult(X_100,rd(X_100,mult(X_100,X_101)))))),bind(Z,$fot(rd(rd(X_100,rd(X_100,X_101)),X_100)))]]) ).

cnf(refute_0_1002,plain,
    ( i(mult(X_100,rd(X_100,mult(X_100,X_101)))) != rd(rd(X_100,rd(X_100,X_101)),X_100)
    | i(rd(X_100,rd(mult(X_100,X_101),X_100))) = rd(rd(X_100,rd(X_100,X_101)),X_100) ),
    inference(resolve,[$cnf( $equal(i(rd(X_100,rd(mult(X_100,X_101),X_100))),i(mult(X_100,rd(X_100,mult(X_100,X_101))))) )],[refute_0_1000,refute_0_1001]) ).

cnf(refute_0_1003,plain,
    i(rd(X_100,rd(mult(X_100,X_101),X_100))) = rd(rd(X_100,rd(X_100,X_101)),X_100),
    inference(resolve,[$cnf( $equal(i(mult(X_100,rd(X_100,mult(X_100,X_101)))),rd(rd(X_100,rd(X_100,X_101)),X_100)) )],[refute_0_988,refute_0_1002]) ).

cnf(refute_0_1004,plain,
    ( i(rd(X_100,rd(mult(X_100,X_101),X_100))) != rd(mult(X_100,X_101),mult(X_100,X_100))
    | i(rd(X_100,rd(mult(X_100,X_101),X_100))) != rd(rd(X_100,rd(X_100,X_101)),X_100)
    | rd(rd(X_100,rd(X_100,X_101)),X_100) = rd(mult(X_100,X_101),mult(X_100,X_100)) ),
    introduced(tautology,[equality,[$cnf( $equal(i(rd(X_100,rd(mult(X_100,X_101),X_100))),rd(mult(X_100,X_101),mult(X_100,X_100))) ),[0],$fot(rd(rd(X_100,rd(X_100,X_101)),X_100))]]) ).

cnf(refute_0_1005,plain,
    ( i(rd(X_100,rd(mult(X_100,X_101),X_100))) != rd(mult(X_100,X_101),mult(X_100,X_100))
    | rd(rd(X_100,rd(X_100,X_101)),X_100) = rd(mult(X_100,X_101),mult(X_100,X_100)) ),
    inference(resolve,[$cnf( $equal(i(rd(X_100,rd(mult(X_100,X_101),X_100))),rd(rd(X_100,rd(X_100,X_101)),X_100)) )],[refute_0_1003,refute_0_1004]) ).

cnf(refute_0_1006,plain,
    rd(rd(X_100,rd(X_100,X_101)),X_100) = rd(mult(X_100,X_101),mult(X_100,X_100)),
    inference(resolve,[$cnf( $equal(i(rd(X_100,rd(mult(X_100,X_101),X_100))),rd(mult(X_100,X_101),mult(X_100,X_100))) )],[refute_0_931,refute_0_1005]) ).

cnf(refute_0_1007,plain,
    rd(rd(X_74,rd(X_74,ld(X_74,X_145))),X_74) = rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74)),
    inference(subst,[],[refute_0_1006:[bind(X_100,$fot(X_74)),bind(X_101,$fot(ld(X_74,X_145)))]]) ).

cnf(refute_0_1008,plain,
    ( i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)) != rd(rd(X_74,rd(X_74,ld(X_74,X_145))),X_74)
    | rd(rd(X_74,rd(X_74,ld(X_74,X_145))),X_74) != rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74))
    | i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)) = rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)))),bind(Y,$fot(rd(rd(X_74,rd(X_74,ld(X_74,X_145))),X_74))),bind(Z,$fot(rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74))))]]) ).

cnf(refute_0_1009,plain,
    ( rd(rd(X_74,rd(X_74,ld(X_74,X_145))),X_74) != rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74))
    | i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)) = rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74)) ),
    inference(resolve,[$cnf( $equal(i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)),rd(rd(X_74,rd(X_74,ld(X_74,X_145))),X_74)) )],[refute_0_740,refute_0_1008]) ).

cnf(refute_0_1010,plain,
    i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)) = rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74)),
    inference(resolve,[$cnf( $equal(rd(rd(X_74,rd(X_74,ld(X_74,X_145))),X_74),rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74))) )],[refute_0_1007,refute_0_1009]) ).

cnf(refute_0_1011,plain,
    ( i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)) != rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74))
    | rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74)) != rd(X_145,mult(X_74,X_74))
    | i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)) = rd(X_145,mult(X_74,X_74)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)))),bind(Y,$fot(rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74)))),bind(Z,$fot(rd(X_145,mult(X_74,X_74))))]]) ).

cnf(refute_0_1012,plain,
    ( rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74)) != rd(X_145,mult(X_74,X_74))
    | i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)) = rd(X_145,mult(X_74,X_74)) ),
    inference(resolve,[$cnf( $equal(i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)),rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74))) )],[refute_0_1010,refute_0_1011]) ).

cnf(refute_0_1013,plain,
    i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)) = rd(X_145,mult(X_74,X_74)),
    inference(resolve,[$cnf( $equal(rd(mult(X_74,ld(X_74,X_145)),mult(X_74,X_74)),rd(X_145,mult(X_74,X_74))) )],[refute_0_751,refute_0_1012]) ).

cnf(refute_0_1014,plain,
    ( i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)) != rd(X_145,mult(X_74,X_74))
    | i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)) != rd(i(rd(X_74,X_145)),X_74)
    | rd(X_145,mult(X_74,X_74)) = rd(i(rd(X_74,X_145)),X_74) ),
    introduced(tautology,[equality,[$cnf( $equal(i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)),rd(i(rd(X_74,X_145)),X_74)) ),[0],$fot(rd(X_145,mult(X_74,X_74)))]]) ).

cnf(refute_0_1015,plain,
    ( i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)) != rd(i(rd(X_74,X_145)),X_74)
    | rd(X_145,mult(X_74,X_74)) = rd(i(rd(X_74,X_145)),X_74) ),
    inference(resolve,[$cnf( $equal(i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)),rd(X_145,mult(X_74,X_74))) )],[refute_0_1013,refute_0_1014]) ).

cnf(refute_0_1016,plain,
    rd(i(rd(X_74,X_145)),X_74) = i(mult(X_74,rd(X_74,X_145))),
    inference(subst,[],[refute_0_404:[bind(B,$fot(X_74)),bind(X_14,$fot(rd(X_74,X_145)))]]) ).

cnf(refute_0_1017,plain,
    ( rd(X_145,mult(X_74,X_74)) != rd(i(rd(X_74,X_145)),X_74)
    | rd(i(rd(X_74,X_145)),X_74) != i(mult(X_74,rd(X_74,X_145)))
    | rd(X_145,mult(X_74,X_74)) = i(mult(X_74,rd(X_74,X_145))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(rd(X_145,mult(X_74,X_74)),i(mult(X_74,rd(X_74,X_145)))) ),[0],$fot(rd(i(rd(X_74,X_145)),X_74))]]) ).

cnf(refute_0_1018,plain,
    ( rd(X_145,mult(X_74,X_74)) != rd(i(rd(X_74,X_145)),X_74)
    | rd(X_145,mult(X_74,X_74)) = i(mult(X_74,rd(X_74,X_145))) ),
    inference(resolve,[$cnf( $equal(rd(i(rd(X_74,X_145)),X_74),i(mult(X_74,rd(X_74,X_145)))) )],[refute_0_1016,refute_0_1017]) ).

cnf(refute_0_1019,plain,
    ( i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)) != rd(i(rd(X_74,X_145)),X_74)
    | rd(X_145,mult(X_74,X_74)) = i(mult(X_74,rd(X_74,X_145))) ),
    inference(resolve,[$cnf( $equal(rd(X_145,mult(X_74,X_74)),rd(i(rd(X_74,X_145)),X_74)) )],[refute_0_1015,refute_0_1018]) ).

cnf(refute_0_1020,plain,
    rd(X_145,mult(X_74,X_74)) = i(mult(X_74,rd(X_74,X_145))),
    inference(resolve,[$cnf( $equal(i(rd(mult(X_74,rd(X_74,ld(X_74,X_145))),X_74)),rd(i(rd(X_74,X_145)),X_74)) )],[refute_0_746,refute_0_1019]) ).

cnf(refute_0_1021,plain,
    ( rd(X_145,mult(X_74,X_74)) != i(mult(X_74,rd(X_74,X_145)))
    | i(mult(X_74,rd(X_74,X_145))) = rd(X_145,mult(X_74,X_74)) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(rd(X_145,mult(X_74,X_74)))),bind(Y,$fot(i(mult(X_74,rd(X_74,X_145)))))]]) ).

cnf(refute_0_1022,plain,
    i(mult(X_74,rd(X_74,X_145))) = rd(X_145,mult(X_74,X_74)),
    inference(resolve,[$cnf( $equal(rd(X_145,mult(X_74,X_74)),i(mult(X_74,rd(X_74,X_145)))) )],[refute_0_1020,refute_0_1021]) ).

cnf(refute_0_1023,plain,
    i(mult(X_72,rd(X_72,X_145))) = rd(X_145,mult(X_72,X_72)),
    inference(subst,[],[refute_0_1022:[bind(X_74,$fot(X_72))]]) ).

cnf(refute_0_1024,plain,
    rd(i(rd(X_72,X_145)),X_72) = i(mult(X_72,rd(X_72,X_145))),
    inference(subst,[],[refute_0_404:[bind(B,$fot(X_72)),bind(X_14,$fot(rd(X_72,X_145)))]]) ).

cnf(refute_0_1025,plain,
    ( i(mult(X_72,rd(X_72,X_145))) != rd(X_145,mult(X_72,X_72))
    | rd(i(rd(X_72,X_145)),X_72) != i(mult(X_72,rd(X_72,X_145)))
    | rd(i(rd(X_72,X_145)),X_72) = rd(X_145,mult(X_72,X_72)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(rd(i(rd(X_72,X_145)),X_72))),bind(Y,$fot(i(mult(X_72,rd(X_72,X_145))))),bind(Z,$fot(rd(X_145,mult(X_72,X_72))))]]) ).

cnf(refute_0_1026,plain,
    ( i(mult(X_72,rd(X_72,X_145))) != rd(X_145,mult(X_72,X_72))
    | rd(i(rd(X_72,X_145)),X_72) = rd(X_145,mult(X_72,X_72)) ),
    inference(resolve,[$cnf( $equal(rd(i(rd(X_72,X_145)),X_72),i(mult(X_72,rd(X_72,X_145)))) )],[refute_0_1024,refute_0_1025]) ).

cnf(refute_0_1027,plain,
    rd(i(rd(X_72,X_145)),X_72) = rd(X_145,mult(X_72,X_72)),
    inference(resolve,[$cnf( $equal(i(mult(X_72,rd(X_72,X_145))),rd(X_145,mult(X_72,X_72))) )],[refute_0_1023,refute_0_1026]) ).

cnf(refute_0_1028,plain,
    i(rd(i(rd(X_72,X_145)),X_72)) = i(rd(i(rd(X_72,X_145)),X_72)),
    introduced(tautology,[refl,[$fot(i(rd(i(rd(X_72,X_145)),X_72)))]]) ).

cnf(refute_0_1029,plain,
    ( i(rd(i(rd(X_72,X_145)),X_72)) != i(rd(i(rd(X_72,X_145)),X_72))
    | rd(i(rd(X_72,X_145)),X_72) != rd(X_145,mult(X_72,X_72))
    | i(rd(i(rd(X_72,X_145)),X_72)) = i(rd(X_145,mult(X_72,X_72))) ),
    introduced(tautology,[equality,[$cnf( $equal(i(rd(i(rd(X_72,X_145)),X_72)),i(rd(i(rd(X_72,X_145)),X_72))) ),[1,0],$fot(rd(X_145,mult(X_72,X_72)))]]) ).

cnf(refute_0_1030,plain,
    ( rd(i(rd(X_72,X_145)),X_72) != rd(X_145,mult(X_72,X_72))
    | i(rd(i(rd(X_72,X_145)),X_72)) = i(rd(X_145,mult(X_72,X_72))) ),
    inference(resolve,[$cnf( $equal(i(rd(i(rd(X_72,X_145)),X_72)),i(rd(i(rd(X_72,X_145)),X_72))) )],[refute_0_1028,refute_0_1029]) ).

cnf(refute_0_1031,plain,
    i(rd(i(rd(X_72,X_145)),X_72)) = i(rd(X_145,mult(X_72,X_72))),
    inference(resolve,[$cnf( $equal(rd(i(rd(X_72,X_145)),X_72),rd(X_145,mult(X_72,X_72))) )],[refute_0_1027,refute_0_1030]) ).

cnf(refute_0_1032,plain,
    ( i(rd(i(rd(X_72,X_145)),X_72)) != i(rd(X_145,mult(X_72,X_72)))
    | i(rd(i(rd(X_72,X_145)),X_72)) != rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72)
    | i(rd(X_145,mult(X_72,X_72))) = rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72) ),
    introduced(tautology,[equality,[$cnf( $equal(i(rd(i(rd(X_72,X_145)),X_72)),rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72)) ),[0],$fot(i(rd(X_145,mult(X_72,X_72))))]]) ).

cnf(refute_0_1033,plain,
    ( i(rd(i(rd(X_72,X_145)),X_72)) != rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72)
    | i(rd(X_145,mult(X_72,X_72))) = rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72) ),
    inference(resolve,[$cnf( $equal(i(rd(i(rd(X_72,X_145)),X_72)),i(rd(X_145,mult(X_72,X_72)))) )],[refute_0_1031,refute_0_1032]) ).

cnf(refute_0_1034,plain,
    mult(X_72,ld(X_72,X_145)) = X_145,
    inference(subst,[],[c01:[bind(A,$fot(X_72)),bind(B,$fot(X_145))]]) ).

cnf(refute_0_1035,plain,
    rd(mult(X_72,X_72),mult(X_72,ld(X_72,X_145))) = rd(mult(X_72,X_72),mult(X_72,ld(X_72,X_145))),
    introduced(tautology,[refl,[$fot(rd(mult(X_72,X_72),mult(X_72,ld(X_72,X_145))))]]) ).

cnf(refute_0_1036,plain,
    ( mult(X_72,ld(X_72,X_145)) != X_145
    | rd(mult(X_72,X_72),mult(X_72,ld(X_72,X_145))) != rd(mult(X_72,X_72),mult(X_72,ld(X_72,X_145)))
    | rd(mult(X_72,X_72),mult(X_72,ld(X_72,X_145))) = rd(mult(X_72,X_72),X_145) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_72,X_72),mult(X_72,ld(X_72,X_145))),rd(mult(X_72,X_72),mult(X_72,ld(X_72,X_145)))) ),[1,1],$fot(X_145)]]) ).

cnf(refute_0_1037,plain,
    ( mult(X_72,ld(X_72,X_145)) != X_145
    | rd(mult(X_72,X_72),mult(X_72,ld(X_72,X_145))) = rd(mult(X_72,X_72),X_145) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_72,X_72),mult(X_72,ld(X_72,X_145))),rd(mult(X_72,X_72),mult(X_72,ld(X_72,X_145)))) )],[refute_0_1035,refute_0_1036]) ).

cnf(refute_0_1038,plain,
    rd(mult(X_72,X_72),mult(X_72,ld(X_72,X_145))) = rd(mult(X_72,X_72),X_145),
    inference(resolve,[$cnf( $equal(mult(X_72,ld(X_72,X_145)),X_145) )],[refute_0_1034,refute_0_1037]) ).

cnf(refute_0_1039,plain,
    rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72) = rd(mult(X_72,X_72),mult(X_72,ld(X_72,X_145))),
    inference(subst,[],[refute_0_818:[bind(A,$fot(X_72)),bind(X_48,$fot(X_72)),bind(X_50,$fot(ld(X_72,X_145)))]]) ).

cnf(refute_0_1040,plain,
    ( rd(mult(X_72,X_72),mult(X_72,ld(X_72,X_145))) != rd(mult(X_72,X_72),X_145)
    | rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72) != rd(mult(X_72,X_72),mult(X_72,ld(X_72,X_145)))
    | rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72) = rd(mult(X_72,X_72),X_145) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72))),bind(Y,$fot(rd(mult(X_72,X_72),mult(X_72,ld(X_72,X_145))))),bind(Z,$fot(rd(mult(X_72,X_72),X_145)))]]) ).

cnf(refute_0_1041,plain,
    ( rd(mult(X_72,X_72),mult(X_72,ld(X_72,X_145))) != rd(mult(X_72,X_72),X_145)
    | rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72) = rd(mult(X_72,X_72),X_145) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72),rd(mult(X_72,X_72),mult(X_72,ld(X_72,X_145)))) )],[refute_0_1039,refute_0_1040]) ).

cnf(refute_0_1042,plain,
    rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72) = rd(mult(X_72,X_72),X_145),
    inference(resolve,[$cnf( $equal(rd(mult(X_72,X_72),mult(X_72,ld(X_72,X_145))),rd(mult(X_72,X_72),X_145)) )],[refute_0_1038,refute_0_1041]) ).

cnf(refute_0_1043,plain,
    ( i(rd(X_145,mult(X_72,X_72))) != rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72)
    | rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72) != rd(mult(X_72,X_72),X_145)
    | i(rd(X_145,mult(X_72,X_72))) = rd(mult(X_72,X_72),X_145) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(i(rd(X_145,mult(X_72,X_72))),rd(mult(X_72,X_72),X_145)) ),[0],$fot(rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72))]]) ).

cnf(refute_0_1044,plain,
    ( i(rd(X_145,mult(X_72,X_72))) != rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72)
    | i(rd(X_145,mult(X_72,X_72))) = rd(mult(X_72,X_72),X_145) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72),rd(mult(X_72,X_72),X_145)) )],[refute_0_1042,refute_0_1043]) ).

cnf(refute_0_1045,plain,
    ( i(rd(i(rd(X_72,X_145)),X_72)) != rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72)
    | i(rd(X_145,mult(X_72,X_72))) = rd(mult(X_72,X_72),X_145) ),
    inference(resolve,[$cnf( $equal(i(rd(X_145,mult(X_72,X_72))),rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72)) )],[refute_0_1033,refute_0_1044]) ).

cnf(refute_0_1046,plain,
    i(rd(X_145,mult(X_72,X_72))) = rd(mult(X_72,X_72),X_145),
    inference(resolve,[$cnf( $equal(i(rd(i(rd(X_72,X_145)),X_72)),rd(mult(X_72,rd(X_72,ld(X_72,X_145))),X_72)) )],[refute_0_739,refute_0_1045]) ).

cnf(refute_0_1047,plain,
    i(rd(X_69,mult(X_69,X_69))) = rd(mult(X_69,X_69),X_69),
    inference(subst,[],[refute_0_1046:[bind(X_145,$fot(X_69)),bind(X_72,$fot(X_69))]]) ).

cnf(refute_0_1048,plain,
    ( i(rd(X_69,mult(X_69,X_69))) != rd(mult(X_69,X_69),X_69)
    | rd(mult(X_69,X_69),X_69) != X_69
    | i(rd(X_69,mult(X_69,X_69))) = X_69 ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(i(rd(X_69,mult(X_69,X_69))))),bind(Y,$fot(rd(mult(X_69,X_69),X_69))),bind(Z,$fot(X_69))]]) ).

cnf(refute_0_1049,plain,
    ( rd(mult(X_69,X_69),X_69) != X_69
    | i(rd(X_69,mult(X_69,X_69))) = X_69 ),
    inference(resolve,[$cnf( $equal(i(rd(X_69,mult(X_69,X_69))),rd(mult(X_69,X_69),X_69)) )],[refute_0_1047,refute_0_1048]) ).

cnf(refute_0_1050,plain,
    i(rd(X_69,mult(X_69,X_69))) = X_69,
    inference(resolve,[$cnf( $equal(rd(mult(X_69,X_69),X_69),X_69) )],[refute_0_700,refute_0_1049]) ).

cnf(refute_0_1051,plain,
    ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)) = ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)),
    introduced(tautology,[refl,[$fot(ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)))]]) ).

cnf(refute_0_1052,plain,
    ( i(rd(X_69,mult(X_69,X_69))) != X_69
    | ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)) != ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B))
    | ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)) = ld(X_69,mult(mult(X_69,X_69),B)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)),ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B))) ),[1,0],$fot(X_69)]]) ).

cnf(refute_0_1053,plain,
    ( i(rd(X_69,mult(X_69,X_69))) != X_69
    | ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)) = ld(X_69,mult(mult(X_69,X_69),B)) ),
    inference(resolve,[$cnf( $equal(ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)),ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B))) )],[refute_0_1051,refute_0_1052]) ).

cnf(refute_0_1054,plain,
    ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)) = ld(X_69,mult(mult(X_69,X_69),B)),
    inference(resolve,[$cnf( $equal(i(rd(X_69,mult(X_69,X_69))),X_69) )],[refute_0_1050,refute_0_1053]) ).

cnf(refute_0_1055,plain,
    ( ld(X_69,mult(mult(X_69,X_69),B)) != ld(i(X_69),B)
    | ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)) != ld(X_69,mult(mult(X_69,X_69),B))
    | ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)) = ld(i(X_69),B) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)))),bind(Y,$fot(ld(X_69,mult(mult(X_69,X_69),B)))),bind(Z,$fot(ld(i(X_69),B)))]]) ).

cnf(refute_0_1056,plain,
    ( ld(X_69,mult(mult(X_69,X_69),B)) != ld(i(X_69),B)
    | ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)) = ld(i(X_69),B) ),
    inference(resolve,[$cnf( $equal(ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)),ld(X_69,mult(mult(X_69,X_69),B))) )],[refute_0_1054,refute_0_1055]) ).

cnf(refute_0_1057,plain,
    ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)) = ld(i(X_69),B),
    inference(resolve,[$cnf( $equal(ld(X_69,mult(mult(X_69,X_69),B)),ld(i(X_69),B)) )],[refute_0_699,refute_0_1056]) ).

cnf(refute_0_1058,plain,
    ( ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)) != ld(i(X_69),B)
    | ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)) != mult(mult(X_69,X_69),ld(X_69,B))
    | ld(i(X_69),B) = mult(mult(X_69,X_69),ld(X_69,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)),mult(mult(X_69,X_69),ld(X_69,B))) ),[0],$fot(ld(i(X_69),B))]]) ).

cnf(refute_0_1059,plain,
    ( ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)) != mult(mult(X_69,X_69),ld(X_69,B))
    | ld(i(X_69),B) = mult(mult(X_69,X_69),ld(X_69,B)) ),
    inference(resolve,[$cnf( $equal(ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)),ld(i(X_69),B)) )],[refute_0_1057,refute_0_1058]) ).

cnf(refute_0_1060,plain,
    ld(i(X_69),B) = mult(mult(X_69,X_69),ld(X_69,B)),
    inference(resolve,[$cnf( $equal(ld(i(rd(X_69,mult(X_69,X_69))),mult(mult(X_69,X_69),B)),mult(mult(X_69,X_69),ld(X_69,B))) )],[refute_0_353,refute_0_1059]) ).

cnf(refute_0_1061,plain,
    ( ld(i(X_69),B) != mult(mult(X_69,X_69),ld(X_69,B))
    | mult(mult(X_69,X_69),ld(X_69,B)) = ld(i(X_69),B) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ld(i(X_69),B))),bind(Y,$fot(mult(mult(X_69,X_69),ld(X_69,B))))]]) ).

cnf(refute_0_1062,plain,
    mult(mult(X_69,X_69),ld(X_69,B)) = ld(i(X_69),B),
    inference(resolve,[$cnf( $equal(ld(i(X_69),B),mult(mult(X_69,X_69),ld(X_69,B))) )],[refute_0_1060,refute_0_1061]) ).

cnf(refute_0_1063,plain,
    mult(mult(X_86,X_86),ld(X_86,A)) = ld(i(X_86),A),
    inference(subst,[],[refute_0_1062:[bind(B,$fot(A)),bind(X_69,$fot(X_86))]]) ).

cnf(refute_0_1064,plain,
    ( mult(A,ld(ld(X_86,A),A)) != mult(mult(X_86,X_86),ld(X_86,A))
    | mult(mult(X_86,X_86),ld(X_86,A)) != ld(i(X_86),A)
    | mult(A,ld(ld(X_86,A),A)) = ld(i(X_86),A) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(mult(A,ld(ld(X_86,A),A)),ld(i(X_86),A)) ),[0],$fot(mult(mult(X_86,X_86),ld(X_86,A)))]]) ).

cnf(refute_0_1065,plain,
    ( mult(A,ld(ld(X_86,A),A)) != mult(mult(X_86,X_86),ld(X_86,A))
    | mult(A,ld(ld(X_86,A),A)) = ld(i(X_86),A) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_86,X_86),ld(X_86,A)),ld(i(X_86),A)) )],[refute_0_1063,refute_0_1064]) ).

cnf(refute_0_1066,plain,
    mult(A,ld(ld(X_86,A),A)) = ld(i(X_86),A),
    inference(resolve,[$cnf( $equal(mult(A,ld(ld(X_86,A),A)),mult(mult(X_86,X_86),ld(X_86,A))) )],[refute_0_182,refute_0_1065]) ).

cnf(refute_0_1067,plain,
    mult(A,ld(ld(mult(A,X_189),A),A)) = ld(i(mult(A,X_189)),A),
    inference(subst,[],[refute_0_1066:[bind(X_86,$fot(mult(A,X_189)))]]) ).

cnf(refute_0_1068,plain,
    ld(i(X_102),rd(i(X_14),X_102)) = rd(mult(X_102,i(X_14)),X_102),
    inference(subst,[],[refute_0_339:[bind(X_100,$fot(X_102)),bind(X_101,$fot(i(X_14)))]]) ).

cnf(refute_0_1069,plain,
    rd(i(X_14),X_102) = i(mult(X_102,X_14)),
    inference(subst,[],[refute_0_404:[bind(B,$fot(X_102))]]) ).

cnf(refute_0_1070,plain,
    ( ld(i(X_102),rd(i(X_14),X_102)) != rd(mult(X_102,i(X_14)),X_102)
    | rd(i(X_14),X_102) != i(mult(X_102,X_14))
    | ld(i(X_102),i(mult(X_102,X_14))) = rd(mult(X_102,i(X_14)),X_102) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(i(X_102),rd(i(X_14),X_102)),rd(mult(X_102,i(X_14)),X_102)) ),[0,1],$fot(i(mult(X_102,X_14)))]]) ).

cnf(refute_0_1071,plain,
    ( ld(i(X_102),rd(i(X_14),X_102)) != rd(mult(X_102,i(X_14)),X_102)
    | ld(i(X_102),i(mult(X_102,X_14))) = rd(mult(X_102,i(X_14)),X_102) ),
    inference(resolve,[$cnf( $equal(rd(i(X_14),X_102),i(mult(X_102,X_14))) )],[refute_0_1069,refute_0_1070]) ).

cnf(refute_0_1072,plain,
    ld(i(X_102),i(mult(X_102,X_14))) = rd(mult(X_102,i(X_14)),X_102),
    inference(resolve,[$cnf( $equal(ld(i(X_102),rd(i(X_14),X_102)),rd(mult(X_102,i(X_14)),X_102)) )],[refute_0_1068,refute_0_1071]) ).

cnf(refute_0_1073,plain,
    i(i(rd(X_66,mult(X_66,X_67)))) = rd(X_66,mult(X_66,X_67)),
    inference(subst,[],[refute_0_52:[bind(X_4,$fot(rd(X_66,mult(X_66,X_67))))]]) ).

cnf(refute_0_1074,plain,
    ( i(i(rd(X_66,mult(X_66,X_67)))) != rd(X_66,mult(X_66,X_67))
    | i(rd(X_66,mult(X_66,X_67))) != rd(X_66,rd(X_66,X_67))
    | i(rd(X_66,rd(X_66,X_67))) = rd(X_66,mult(X_66,X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(i(i(rd(X_66,mult(X_66,X_67)))),rd(X_66,mult(X_66,X_67))) ),[0,0],$fot(rd(X_66,rd(X_66,X_67)))]]) ).

cnf(refute_0_1075,plain,
    ( i(i(rd(X_66,mult(X_66,X_67)))) != rd(X_66,mult(X_66,X_67))
    | i(rd(X_66,rd(X_66,X_67))) = rd(X_66,mult(X_66,X_67)) ),
    inference(resolve,[$cnf( $equal(i(rd(X_66,mult(X_66,X_67))),rd(X_66,rd(X_66,X_67))) )],[refute_0_982,refute_0_1074]) ).

cnf(refute_0_1076,plain,
    i(rd(X_66,rd(X_66,X_67))) = rd(X_66,mult(X_66,X_67)),
    inference(resolve,[$cnf( $equal(i(i(rd(X_66,mult(X_66,X_67)))),rd(X_66,mult(X_66,X_67))) )],[refute_0_1073,refute_0_1075]) ).

cnf(refute_0_1077,plain,
    i(rd(X_102,rd(X_102,X_14))) = rd(X_102,mult(X_102,X_14)),
    inference(subst,[],[refute_0_1076:[bind(X_66,$fot(X_102)),bind(X_67,$fot(X_14))]]) ).

cnf(refute_0_1078,plain,
    i(rd(X_102,mult(X_102,X_14))) = rd(X_102,rd(X_102,X_14)),
    inference(subst,[],[refute_0_981:[bind(A,$fot(X_102)),bind(X_60,$fot(X_14))]]) ).

cnf(refute_0_1079,plain,
    mult(mult(X_102,X_14),i(X_102)) = i(rd(X_102,mult(X_102,X_14))),
    inference(subst,[],[refute_0_25:[bind(A,$fot(X_102)),bind(X_12,$fot(mult(X_102,X_14)))]]) ).

cnf(refute_0_1080,plain,
    ( i(rd(X_102,mult(X_102,X_14))) != rd(X_102,rd(X_102,X_14))
    | mult(mult(X_102,X_14),i(X_102)) != i(rd(X_102,mult(X_102,X_14)))
    | mult(mult(X_102,X_14),i(X_102)) = rd(X_102,rd(X_102,X_14)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(mult(X_102,X_14),i(X_102)))),bind(Y,$fot(i(rd(X_102,mult(X_102,X_14))))),bind(Z,$fot(rd(X_102,rd(X_102,X_14))))]]) ).

cnf(refute_0_1081,plain,
    ( i(rd(X_102,mult(X_102,X_14))) != rd(X_102,rd(X_102,X_14))
    | mult(mult(X_102,X_14),i(X_102)) = rd(X_102,rd(X_102,X_14)) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_102,X_14),i(X_102)),i(rd(X_102,mult(X_102,X_14)))) )],[refute_0_1079,refute_0_1080]) ).

cnf(refute_0_1082,plain,
    mult(mult(X_102,X_14),i(X_102)) = rd(X_102,rd(X_102,X_14)),
    inference(resolve,[$cnf( $equal(i(rd(X_102,mult(X_102,X_14))),rd(X_102,rd(X_102,X_14))) )],[refute_0_1078,refute_0_1081]) ).

cnf(refute_0_1083,plain,
    i(mult(mult(X_102,X_14),i(X_102))) = i(mult(mult(X_102,X_14),i(X_102))),
    introduced(tautology,[refl,[$fot(i(mult(mult(X_102,X_14),i(X_102))))]]) ).

cnf(refute_0_1084,plain,
    ( i(mult(mult(X_102,X_14),i(X_102))) != i(mult(mult(X_102,X_14),i(X_102)))
    | mult(mult(X_102,X_14),i(X_102)) != rd(X_102,rd(X_102,X_14))
    | i(mult(mult(X_102,X_14),i(X_102))) = i(rd(X_102,rd(X_102,X_14))) ),
    introduced(tautology,[equality,[$cnf( $equal(i(mult(mult(X_102,X_14),i(X_102))),i(mult(mult(X_102,X_14),i(X_102)))) ),[1,0],$fot(rd(X_102,rd(X_102,X_14)))]]) ).

cnf(refute_0_1085,plain,
    ( mult(mult(X_102,X_14),i(X_102)) != rd(X_102,rd(X_102,X_14))
    | i(mult(mult(X_102,X_14),i(X_102))) = i(rd(X_102,rd(X_102,X_14))) ),
    inference(resolve,[$cnf( $equal(i(mult(mult(X_102,X_14),i(X_102))),i(mult(mult(X_102,X_14),i(X_102)))) )],[refute_0_1083,refute_0_1084]) ).

cnf(refute_0_1086,plain,
    i(mult(mult(X_102,X_14),i(X_102))) = i(rd(X_102,rd(X_102,X_14))),
    inference(resolve,[$cnf( $equal(mult(mult(X_102,X_14),i(X_102)),rd(X_102,rd(X_102,X_14))) )],[refute_0_1082,refute_0_1085]) ).

cnf(refute_0_1087,plain,
    ( i(mult(mult(X_102,X_14),i(X_102))) != i(rd(X_102,rd(X_102,X_14)))
    | i(rd(X_102,rd(X_102,X_14))) != rd(X_102,mult(X_102,X_14))
    | i(mult(mult(X_102,X_14),i(X_102))) = rd(X_102,mult(X_102,X_14)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(i(mult(mult(X_102,X_14),i(X_102))))),bind(Y,$fot(i(rd(X_102,rd(X_102,X_14))))),bind(Z,$fot(rd(X_102,mult(X_102,X_14))))]]) ).

cnf(refute_0_1088,plain,
    ( i(rd(X_102,rd(X_102,X_14))) != rd(X_102,mult(X_102,X_14))
    | i(mult(mult(X_102,X_14),i(X_102))) = rd(X_102,mult(X_102,X_14)) ),
    inference(resolve,[$cnf( $equal(i(mult(mult(X_102,X_14),i(X_102))),i(rd(X_102,rd(X_102,X_14)))) )],[refute_0_1086,refute_0_1087]) ).

cnf(refute_0_1089,plain,
    i(mult(mult(X_102,X_14),i(X_102))) = rd(X_102,mult(X_102,X_14)),
    inference(resolve,[$cnf( $equal(i(rd(X_102,rd(X_102,X_14))),rd(X_102,mult(X_102,X_14))) )],[refute_0_1077,refute_0_1088]) ).

cnf(refute_0_1090,plain,
    ld(i(X_102),i(mult(X_102,X_14))) = i(mult(mult(X_102,X_14),i(X_102))),
    inference(subst,[],[refute_0_222:[bind(A,$fot(mult(X_102,X_14))),bind(X_26,$fot(i(X_102)))]]) ).

cnf(refute_0_1091,plain,
    ( i(mult(mult(X_102,X_14),i(X_102))) != rd(X_102,mult(X_102,X_14))
    | ld(i(X_102),i(mult(X_102,X_14))) != i(mult(mult(X_102,X_14),i(X_102)))
    | ld(i(X_102),i(mult(X_102,X_14))) = rd(X_102,mult(X_102,X_14)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(ld(i(X_102),i(mult(X_102,X_14))))),bind(Y,$fot(i(mult(mult(X_102,X_14),i(X_102))))),bind(Z,$fot(rd(X_102,mult(X_102,X_14))))]]) ).

cnf(refute_0_1092,plain,
    ( i(mult(mult(X_102,X_14),i(X_102))) != rd(X_102,mult(X_102,X_14))
    | ld(i(X_102),i(mult(X_102,X_14))) = rd(X_102,mult(X_102,X_14)) ),
    inference(resolve,[$cnf( $equal(ld(i(X_102),i(mult(X_102,X_14))),i(mult(mult(X_102,X_14),i(X_102)))) )],[refute_0_1090,refute_0_1091]) ).

cnf(refute_0_1093,plain,
    ld(i(X_102),i(mult(X_102,X_14))) = rd(X_102,mult(X_102,X_14)),
    inference(resolve,[$cnf( $equal(i(mult(mult(X_102,X_14),i(X_102))),rd(X_102,mult(X_102,X_14))) )],[refute_0_1089,refute_0_1092]) ).

cnf(refute_0_1094,plain,
    ( ld(i(X_102),i(mult(X_102,X_14))) != rd(X_102,mult(X_102,X_14))
    | ld(i(X_102),i(mult(X_102,X_14))) != rd(mult(X_102,i(X_14)),X_102)
    | rd(X_102,mult(X_102,X_14)) = rd(mult(X_102,i(X_14)),X_102) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(i(X_102),i(mult(X_102,X_14))),rd(mult(X_102,i(X_14)),X_102)) ),[0],$fot(rd(X_102,mult(X_102,X_14)))]]) ).

cnf(refute_0_1095,plain,
    ( ld(i(X_102),i(mult(X_102,X_14))) != rd(mult(X_102,i(X_14)),X_102)
    | rd(X_102,mult(X_102,X_14)) = rd(mult(X_102,i(X_14)),X_102) ),
    inference(resolve,[$cnf( $equal(ld(i(X_102),i(mult(X_102,X_14))),rd(X_102,mult(X_102,X_14))) )],[refute_0_1093,refute_0_1094]) ).

cnf(refute_0_1096,plain,
    rd(i(rd(X_14,X_102)),X_102) = i(mult(X_102,rd(X_14,X_102))),
    inference(subst,[],[refute_0_404:[bind(B,$fot(X_102)),bind(X_14,$fot(rd(X_14,X_102)))]]) ).

cnf(refute_0_1097,plain,
    mult(X_102,i(X_14)) = i(rd(X_14,X_102)),
    inference(subst,[],[refute_0_25:[bind(A,$fot(X_14)),bind(X_12,$fot(X_102))]]) ).

cnf(refute_0_1098,plain,
    rd(mult(X_102,i(X_14)),X_102) = rd(mult(X_102,i(X_14)),X_102),
    introduced(tautology,[refl,[$fot(rd(mult(X_102,i(X_14)),X_102))]]) ).

cnf(refute_0_1099,plain,
    ( mult(X_102,i(X_14)) != i(rd(X_14,X_102))
    | rd(mult(X_102,i(X_14)),X_102) != rd(mult(X_102,i(X_14)),X_102)
    | rd(mult(X_102,i(X_14)),X_102) = rd(i(rd(X_14,X_102)),X_102) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_102,i(X_14)),X_102),rd(mult(X_102,i(X_14)),X_102)) ),[1,0],$fot(i(rd(X_14,X_102)))]]) ).

cnf(refute_0_1100,plain,
    ( mult(X_102,i(X_14)) != i(rd(X_14,X_102))
    | rd(mult(X_102,i(X_14)),X_102) = rd(i(rd(X_14,X_102)),X_102) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_102,i(X_14)),X_102),rd(mult(X_102,i(X_14)),X_102)) )],[refute_0_1098,refute_0_1099]) ).

cnf(refute_0_1101,plain,
    rd(mult(X_102,i(X_14)),X_102) = rd(i(rd(X_14,X_102)),X_102),
    inference(resolve,[$cnf( $equal(mult(X_102,i(X_14)),i(rd(X_14,X_102))) )],[refute_0_1097,refute_0_1100]) ).

cnf(refute_0_1102,plain,
    ( rd(i(rd(X_14,X_102)),X_102) != i(mult(X_102,rd(X_14,X_102)))
    | rd(mult(X_102,i(X_14)),X_102) != rd(i(rd(X_14,X_102)),X_102)
    | rd(mult(X_102,i(X_14)),X_102) = i(mult(X_102,rd(X_14,X_102))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(rd(mult(X_102,i(X_14)),X_102))),bind(Y,$fot(rd(i(rd(X_14,X_102)),X_102))),bind(Z,$fot(i(mult(X_102,rd(X_14,X_102)))))]]) ).

cnf(refute_0_1103,plain,
    ( rd(i(rd(X_14,X_102)),X_102) != i(mult(X_102,rd(X_14,X_102)))
    | rd(mult(X_102,i(X_14)),X_102) = i(mult(X_102,rd(X_14,X_102))) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_102,i(X_14)),X_102),rd(i(rd(X_14,X_102)),X_102)) )],[refute_0_1101,refute_0_1102]) ).

cnf(refute_0_1104,plain,
    rd(mult(X_102,i(X_14)),X_102) = i(mult(X_102,rd(X_14,X_102))),
    inference(resolve,[$cnf( $equal(rd(i(rd(X_14,X_102)),X_102),i(mult(X_102,rd(X_14,X_102)))) )],[refute_0_1096,refute_0_1103]) ).

cnf(refute_0_1105,plain,
    ( rd(X_102,mult(X_102,X_14)) != rd(mult(X_102,i(X_14)),X_102)
    | rd(mult(X_102,i(X_14)),X_102) != i(mult(X_102,rd(X_14,X_102)))
    | rd(X_102,mult(X_102,X_14)) = i(mult(X_102,rd(X_14,X_102))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(rd(X_102,mult(X_102,X_14)),i(mult(X_102,rd(X_14,X_102)))) ),[0],$fot(rd(mult(X_102,i(X_14)),X_102))]]) ).

cnf(refute_0_1106,plain,
    ( rd(X_102,mult(X_102,X_14)) != rd(mult(X_102,i(X_14)),X_102)
    | rd(X_102,mult(X_102,X_14)) = i(mult(X_102,rd(X_14,X_102))) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_102,i(X_14)),X_102),i(mult(X_102,rd(X_14,X_102)))) )],[refute_0_1104,refute_0_1105]) ).

cnf(refute_0_1107,plain,
    ( ld(i(X_102),i(mult(X_102,X_14))) != rd(mult(X_102,i(X_14)),X_102)
    | rd(X_102,mult(X_102,X_14)) = i(mult(X_102,rd(X_14,X_102))) ),
    inference(resolve,[$cnf( $equal(rd(X_102,mult(X_102,X_14)),rd(mult(X_102,i(X_14)),X_102)) )],[refute_0_1095,refute_0_1106]) ).

cnf(refute_0_1108,plain,
    rd(X_102,mult(X_102,X_14)) = i(mult(X_102,rd(X_14,X_102))),
    inference(resolve,[$cnf( $equal(ld(i(X_102),i(mult(X_102,X_14))),rd(mult(X_102,i(X_14)),X_102)) )],[refute_0_1072,refute_0_1107]) ).

cnf(refute_0_1109,plain,
    rd(X_102,mult(X_102,ld(X_102,mult(X_178,X_102)))) = i(mult(X_102,rd(ld(X_102,mult(X_178,X_102)),X_102))),
    inference(subst,[],[refute_0_1108:[bind(X_14,$fot(ld(X_102,mult(X_178,X_102))))]]) ).

cnf(refute_0_1110,plain,
    rd(mult(mult(rd(X_57,B),X_58),B),B) = mult(rd(X_57,B),X_58),
    inference(subst,[],[c04:[bind(A,$fot(mult(rd(X_57,B),X_58)))]]) ).

cnf(refute_0_1111,plain,
    mult(mult(rd(X_57,B),X_58),B) = mult(X_57,ld(B,mult(X_58,B))),
    inference(subst,[],[refute_0_425:[bind(A,$fot(X_57)),bind(X_52,$fot(X_58)),bind(X_53,$fot(B))]]) ).

cnf(refute_0_1112,plain,
    ( mult(mult(rd(X_57,B),X_58),B) != mult(X_57,ld(B,mult(X_58,B)))
    | rd(mult(mult(rd(X_57,B),X_58),B),B) != mult(rd(X_57,B),X_58)
    | rd(mult(X_57,ld(B,mult(X_58,B))),B) = mult(rd(X_57,B),X_58) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(rd(X_57,B),X_58),B),B),mult(rd(X_57,B),X_58)) ),[0,0],$fot(mult(X_57,ld(B,mult(X_58,B))))]]) ).

cnf(refute_0_1113,plain,
    ( rd(mult(mult(rd(X_57,B),X_58),B),B) != mult(rd(X_57,B),X_58)
    | rd(mult(X_57,ld(B,mult(X_58,B))),B) = mult(rd(X_57,B),X_58) ),
    inference(resolve,[$cnf( $equal(mult(mult(rd(X_57,B),X_58),B),mult(X_57,ld(B,mult(X_58,B)))) )],[refute_0_1111,refute_0_1112]) ).

cnf(refute_0_1114,plain,
    rd(mult(X_57,ld(B,mult(X_58,B))),B) = mult(rd(X_57,B),X_58),
    inference(resolve,[$cnf( $equal(rd(mult(mult(rd(X_57,B),X_58),B),B),mult(rd(X_57,B),X_58)) )],[refute_0_1110,refute_0_1113]) ).

cnf(refute_0_1115,plain,
    rd(mult(unit,ld(X_174,mult(X_176,X_174))),X_174) = mult(rd(unit,X_174),X_176),
    inference(subst,[],[refute_0_1114:[bind(B,$fot(X_174)),bind(X_57,$fot(unit)),bind(X_58,$fot(X_176))]]) ).

cnf(refute_0_1116,plain,
    mult(unit,ld(X_174,mult(X_176,X_174))) = ld(X_174,mult(X_176,X_174)),
    inference(subst,[],[c06:[bind(A,$fot(ld(X_174,mult(X_176,X_174))))]]) ).

cnf(refute_0_1117,plain,
    ( mult(unit,ld(X_174,mult(X_176,X_174))) != ld(X_174,mult(X_176,X_174))
    | rd(mult(unit,ld(X_174,mult(X_176,X_174))),X_174) != mult(rd(unit,X_174),X_176)
    | rd(ld(X_174,mult(X_176,X_174)),X_174) = mult(rd(unit,X_174),X_176) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(unit,ld(X_174,mult(X_176,X_174))),X_174),mult(rd(unit,X_174),X_176)) ),[0,0],$fot(ld(X_174,mult(X_176,X_174)))]]) ).

cnf(refute_0_1118,plain,
    ( rd(mult(unit,ld(X_174,mult(X_176,X_174))),X_174) != mult(rd(unit,X_174),X_176)
    | rd(ld(X_174,mult(X_176,X_174)),X_174) = mult(rd(unit,X_174),X_176) ),
    inference(resolve,[$cnf( $equal(mult(unit,ld(X_174,mult(X_176,X_174))),ld(X_174,mult(X_176,X_174))) )],[refute_0_1116,refute_0_1117]) ).

cnf(refute_0_1119,plain,
    rd(ld(X_174,mult(X_176,X_174)),X_174) = mult(rd(unit,X_174),X_176),
    inference(resolve,[$cnf( $equal(rd(mult(unit,ld(X_174,mult(X_176,X_174))),X_174),mult(rd(unit,X_174),X_176)) )],[refute_0_1115,refute_0_1118]) ).

cnf(refute_0_1120,plain,
    mult(i(X_174),X_176) = i(ld(X_176,X_174)),
    inference(subst,[],[refute_0_109:[bind(X_13,$fot(X_176)),bind(X_19,$fot(X_174))]]) ).

cnf(refute_0_1121,plain,
    rd(unit,X_174) = i(X_174),
    inference(subst,[],[refute_0_38:[bind(X_5,$fot(X_174))]]) ).

cnf(refute_0_1122,plain,
    mult(rd(unit,X_174),X_176) = mult(rd(unit,X_174),X_176),
    introduced(tautology,[refl,[$fot(mult(rd(unit,X_174),X_176))]]) ).

cnf(refute_0_1123,plain,
    ( mult(rd(unit,X_174),X_176) != mult(rd(unit,X_174),X_176)
    | rd(unit,X_174) != i(X_174)
    | mult(rd(unit,X_174),X_176) = mult(i(X_174),X_176) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(unit,X_174),X_176),mult(rd(unit,X_174),X_176)) ),[1,0],$fot(i(X_174))]]) ).

cnf(refute_0_1124,plain,
    ( rd(unit,X_174) != i(X_174)
    | mult(rd(unit,X_174),X_176) = mult(i(X_174),X_176) ),
    inference(resolve,[$cnf( $equal(mult(rd(unit,X_174),X_176),mult(rd(unit,X_174),X_176)) )],[refute_0_1122,refute_0_1123]) ).

cnf(refute_0_1125,plain,
    mult(rd(unit,X_174),X_176) = mult(i(X_174),X_176),
    inference(resolve,[$cnf( $equal(rd(unit,X_174),i(X_174)) )],[refute_0_1121,refute_0_1124]) ).

cnf(refute_0_1126,plain,
    ( mult(i(X_174),X_176) != i(ld(X_176,X_174))
    | mult(rd(unit,X_174),X_176) != mult(i(X_174),X_176)
    | mult(rd(unit,X_174),X_176) = i(ld(X_176,X_174)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(rd(unit,X_174),X_176))),bind(Y,$fot(mult(i(X_174),X_176))),bind(Z,$fot(i(ld(X_176,X_174))))]]) ).

cnf(refute_0_1127,plain,
    ( mult(i(X_174),X_176) != i(ld(X_176,X_174))
    | mult(rd(unit,X_174),X_176) = i(ld(X_176,X_174)) ),
    inference(resolve,[$cnf( $equal(mult(rd(unit,X_174),X_176),mult(i(X_174),X_176)) )],[refute_0_1125,refute_0_1126]) ).

cnf(refute_0_1128,plain,
    mult(rd(unit,X_174),X_176) = i(ld(X_176,X_174)),
    inference(resolve,[$cnf( $equal(mult(i(X_174),X_176),i(ld(X_176,X_174))) )],[refute_0_1120,refute_0_1127]) ).

cnf(refute_0_1129,plain,
    ( mult(rd(unit,X_174),X_176) != i(ld(X_176,X_174))
    | rd(ld(X_174,mult(X_176,X_174)),X_174) != mult(rd(unit,X_174),X_176)
    | rd(ld(X_174,mult(X_176,X_174)),X_174) = i(ld(X_176,X_174)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_174,mult(X_176,X_174)),X_174),mult(rd(unit,X_174),X_176)) ),[1],$fot(i(ld(X_176,X_174)))]]) ).

cnf(refute_0_1130,plain,
    ( rd(ld(X_174,mult(X_176,X_174)),X_174) != mult(rd(unit,X_174),X_176)
    | rd(ld(X_174,mult(X_176,X_174)),X_174) = i(ld(X_176,X_174)) ),
    inference(resolve,[$cnf( $equal(mult(rd(unit,X_174),X_176),i(ld(X_176,X_174))) )],[refute_0_1128,refute_0_1129]) ).

cnf(refute_0_1131,plain,
    rd(ld(X_174,mult(X_176,X_174)),X_174) = i(ld(X_176,X_174)),
    inference(resolve,[$cnf( $equal(rd(ld(X_174,mult(X_176,X_174)),X_174),mult(rd(unit,X_174),X_176)) )],[refute_0_1119,refute_0_1130]) ).

cnf(refute_0_1132,plain,
    rd(ld(X_102,mult(X_178,X_102)),X_102) = i(ld(X_178,X_102)),
    inference(subst,[],[refute_0_1131:[bind(X_174,$fot(X_102)),bind(X_176,$fot(X_178))]]) ).

cnf(refute_0_1133,plain,
    ( rd(X_102,mult(X_102,ld(X_102,mult(X_178,X_102)))) != i(mult(X_102,rd(ld(X_102,mult(X_178,X_102)),X_102)))
    | rd(ld(X_102,mult(X_178,X_102)),X_102) != i(ld(X_178,X_102))
    | rd(X_102,mult(X_102,ld(X_102,mult(X_178,X_102)))) = i(mult(X_102,i(ld(X_178,X_102)))) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(X_102,mult(X_102,ld(X_102,mult(X_178,X_102)))),i(mult(X_102,rd(ld(X_102,mult(X_178,X_102)),X_102)))) ),[1,0,1],$fot(i(ld(X_178,X_102)))]]) ).

cnf(refute_0_1134,plain,
    ( rd(X_102,mult(X_102,ld(X_102,mult(X_178,X_102)))) != i(mult(X_102,rd(ld(X_102,mult(X_178,X_102)),X_102)))
    | rd(X_102,mult(X_102,ld(X_102,mult(X_178,X_102)))) = i(mult(X_102,i(ld(X_178,X_102)))) ),
    inference(resolve,[$cnf( $equal(rd(ld(X_102,mult(X_178,X_102)),X_102),i(ld(X_178,X_102))) )],[refute_0_1132,refute_0_1133]) ).

cnf(refute_0_1135,plain,
    rd(X_102,mult(X_102,ld(X_102,mult(X_178,X_102)))) = i(mult(X_102,i(ld(X_178,X_102)))),
    inference(resolve,[$cnf( $equal(rd(X_102,mult(X_102,ld(X_102,mult(X_178,X_102)))),i(mult(X_102,rd(ld(X_102,mult(X_178,X_102)),X_102)))) )],[refute_0_1109,refute_0_1134]) ).

cnf(refute_0_1136,plain,
    mult(unit,X_178) = X_178,
    inference(subst,[],[c06:[bind(A,$fot(X_178))]]) ).

cnf(refute_0_1137,plain,
    rd(X_102,X_102) = unit,
    inference(subst,[],[refute_0_327:[bind(X_5,$fot(X_102))]]) ).

cnf(refute_0_1138,plain,
    mult(rd(X_102,X_102),X_178) = mult(rd(X_102,X_102),X_178),
    introduced(tautology,[refl,[$fot(mult(rd(X_102,X_102),X_178))]]) ).

cnf(refute_0_1139,plain,
    ( mult(rd(X_102,X_102),X_178) != mult(rd(X_102,X_102),X_178)
    | rd(X_102,X_102) != unit
    | mult(rd(X_102,X_102),X_178) = mult(unit,X_178) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_102,X_102),X_178),mult(rd(X_102,X_102),X_178)) ),[1,0],$fot(unit)]]) ).

cnf(refute_0_1140,plain,
    ( rd(X_102,X_102) != unit
    | mult(rd(X_102,X_102),X_178) = mult(unit,X_178) ),
    inference(resolve,[$cnf( $equal(mult(rd(X_102,X_102),X_178),mult(rd(X_102,X_102),X_178)) )],[refute_0_1138,refute_0_1139]) ).

cnf(refute_0_1141,plain,
    mult(rd(X_102,X_102),X_178) = mult(unit,X_178),
    inference(resolve,[$cnf( $equal(rd(X_102,X_102),unit) )],[refute_0_1137,refute_0_1140]) ).

cnf(refute_0_1142,plain,
    ( mult(rd(X_102,X_102),X_178) != mult(unit,X_178)
    | mult(unit,X_178) != X_178
    | mult(rd(X_102,X_102),X_178) = X_178 ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(rd(X_102,X_102),X_178))),bind(Y,$fot(mult(unit,X_178))),bind(Z,$fot(X_178))]]) ).

cnf(refute_0_1143,plain,
    ( mult(unit,X_178) != X_178
    | mult(rd(X_102,X_102),X_178) = X_178 ),
    inference(resolve,[$cnf( $equal(mult(rd(X_102,X_102),X_178),mult(unit,X_178)) )],[refute_0_1141,refute_0_1142]) ).

cnf(refute_0_1144,plain,
    mult(rd(X_102,X_102),X_178) = X_178,
    inference(resolve,[$cnf( $equal(mult(unit,X_178),X_178) )],[refute_0_1136,refute_0_1143]) ).

cnf(refute_0_1145,plain,
    rd(X_102,mult(rd(X_102,X_102),X_178)) = rd(X_102,mult(rd(X_102,X_102),X_178)),
    introduced(tautology,[refl,[$fot(rd(X_102,mult(rd(X_102,X_102),X_178)))]]) ).

cnf(refute_0_1146,plain,
    ( mult(rd(X_102,X_102),X_178) != X_178
    | rd(X_102,mult(rd(X_102,X_102),X_178)) != rd(X_102,mult(rd(X_102,X_102),X_178))
    | rd(X_102,mult(rd(X_102,X_102),X_178)) = rd(X_102,X_178) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(X_102,mult(rd(X_102,X_102),X_178)),rd(X_102,mult(rd(X_102,X_102),X_178))) ),[1,1],$fot(X_178)]]) ).

cnf(refute_0_1147,plain,
    ( mult(rd(X_102,X_102),X_178) != X_178
    | rd(X_102,mult(rd(X_102,X_102),X_178)) = rd(X_102,X_178) ),
    inference(resolve,[$cnf( $equal(rd(X_102,mult(rd(X_102,X_102),X_178)),rd(X_102,mult(rd(X_102,X_102),X_178))) )],[refute_0_1145,refute_0_1146]) ).

cnf(refute_0_1148,plain,
    rd(X_102,mult(rd(X_102,X_102),X_178)) = rd(X_102,X_178),
    inference(resolve,[$cnf( $equal(mult(rd(X_102,X_102),X_178),X_178) )],[refute_0_1144,refute_0_1147]) ).

cnf(refute_0_1149,plain,
    ld(X_102,rd(X_102,mult(rd(X_102,X_102),X_178))) = ld(X_102,rd(X_102,mult(rd(X_102,X_102),X_178))),
    introduced(tautology,[refl,[$fot(ld(X_102,rd(X_102,mult(rd(X_102,X_102),X_178))))]]) ).

cnf(refute_0_1150,plain,
    ( ld(X_102,rd(X_102,mult(rd(X_102,X_102),X_178))) != ld(X_102,rd(X_102,mult(rd(X_102,X_102),X_178)))
    | rd(X_102,mult(rd(X_102,X_102),X_178)) != rd(X_102,X_178)
    | ld(X_102,rd(X_102,mult(rd(X_102,X_102),X_178))) = ld(X_102,rd(X_102,X_178)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(X_102,rd(X_102,mult(rd(X_102,X_102),X_178))),ld(X_102,rd(X_102,mult(rd(X_102,X_102),X_178)))) ),[1,1],$fot(rd(X_102,X_178))]]) ).

cnf(refute_0_1151,plain,
    ( rd(X_102,mult(rd(X_102,X_102),X_178)) != rd(X_102,X_178)
    | ld(X_102,rd(X_102,mult(rd(X_102,X_102),X_178))) = ld(X_102,rd(X_102,X_178)) ),
    inference(resolve,[$cnf( $equal(ld(X_102,rd(X_102,mult(rd(X_102,X_102),X_178))),ld(X_102,rd(X_102,mult(rd(X_102,X_102),X_178)))) )],[refute_0_1149,refute_0_1150]) ).

cnf(refute_0_1152,plain,
    ld(X_102,rd(X_102,mult(rd(X_102,X_102),X_178))) = ld(X_102,rd(X_102,X_178)),
    inference(resolve,[$cnf( $equal(rd(X_102,mult(rd(X_102,X_102),X_178)),rd(X_102,X_178)) )],[refute_0_1148,refute_0_1151]) ).

cnf(refute_0_1153,plain,
    ld(X_95,rd(X_95,mult(rd(A,X_95),X_52))) = rd(X_95,mult(mult(rd(A,X_95),X_52),X_95)),
    inference(subst,[],[refute_0_393:[bind(X_92,$fot(mult(rd(A,X_95),X_52))),bind(X_93,$fot(X_95))]]) ).

cnf(refute_0_1154,plain,
    mult(mult(rd(A,X_95),X_52),X_95) = mult(A,ld(X_95,mult(X_52,X_95))),
    inference(subst,[],[refute_0_425:[bind(X_53,$fot(X_95))]]) ).

cnf(refute_0_1155,plain,
    ( ld(X_95,rd(X_95,mult(rd(A,X_95),X_52))) != rd(X_95,mult(mult(rd(A,X_95),X_52),X_95))
    | mult(mult(rd(A,X_95),X_52),X_95) != mult(A,ld(X_95,mult(X_52,X_95)))
    | ld(X_95,rd(X_95,mult(rd(A,X_95),X_52))) = rd(X_95,mult(A,ld(X_95,mult(X_52,X_95)))) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(X_95,rd(X_95,mult(rd(A,X_95),X_52))),rd(X_95,mult(mult(rd(A,X_95),X_52),X_95))) ),[1,1],$fot(mult(A,ld(X_95,mult(X_52,X_95))))]]) ).

cnf(refute_0_1156,plain,
    ( ld(X_95,rd(X_95,mult(rd(A,X_95),X_52))) != rd(X_95,mult(mult(rd(A,X_95),X_52),X_95))
    | ld(X_95,rd(X_95,mult(rd(A,X_95),X_52))) = rd(X_95,mult(A,ld(X_95,mult(X_52,X_95)))) ),
    inference(resolve,[$cnf( $equal(mult(mult(rd(A,X_95),X_52),X_95),mult(A,ld(X_95,mult(X_52,X_95)))) )],[refute_0_1154,refute_0_1155]) ).

cnf(refute_0_1157,plain,
    ld(X_95,rd(X_95,mult(rd(A,X_95),X_52))) = rd(X_95,mult(A,ld(X_95,mult(X_52,X_95)))),
    inference(resolve,[$cnf( $equal(ld(X_95,rd(X_95,mult(rd(A,X_95),X_52))),rd(X_95,mult(mult(rd(A,X_95),X_52),X_95))) )],[refute_0_1153,refute_0_1156]) ).

cnf(refute_0_1158,plain,
    ( ld(X_95,rd(X_95,mult(rd(A,X_95),X_52))) != rd(X_95,mult(A,ld(X_95,mult(X_52,X_95))))
    | rd(X_95,mult(A,ld(X_95,mult(X_52,X_95)))) = ld(X_95,rd(X_95,mult(rd(A,X_95),X_52))) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ld(X_95,rd(X_95,mult(rd(A,X_95),X_52))))),bind(Y,$fot(rd(X_95,mult(A,ld(X_95,mult(X_52,X_95))))))]]) ).

cnf(refute_0_1159,plain,
    rd(X_95,mult(A,ld(X_95,mult(X_52,X_95)))) = ld(X_95,rd(X_95,mult(rd(A,X_95),X_52))),
    inference(resolve,[$cnf( $equal(ld(X_95,rd(X_95,mult(rd(A,X_95),X_52))),rd(X_95,mult(A,ld(X_95,mult(X_52,X_95))))) )],[refute_0_1157,refute_0_1158]) ).

cnf(refute_0_1160,plain,
    rd(X_102,mult(X_102,ld(X_102,mult(X_178,X_102)))) = ld(X_102,rd(X_102,mult(rd(X_102,X_102),X_178))),
    inference(subst,[],[refute_0_1159:[bind(A,$fot(X_102)),bind(X_52,$fot(X_178)),bind(X_95,$fot(X_102))]]) ).

cnf(refute_0_1161,plain,
    ( ld(X_102,rd(X_102,mult(rd(X_102,X_102),X_178))) != ld(X_102,rd(X_102,X_178))
    | rd(X_102,mult(X_102,ld(X_102,mult(X_178,X_102)))) != ld(X_102,rd(X_102,mult(rd(X_102,X_102),X_178)))
    | rd(X_102,mult(X_102,ld(X_102,mult(X_178,X_102)))) = ld(X_102,rd(X_102,X_178)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(rd(X_102,mult(X_102,ld(X_102,mult(X_178,X_102)))))),bind(Y,$fot(ld(X_102,rd(X_102,mult(rd(X_102,X_102),X_178))))),bind(Z,$fot(ld(X_102,rd(X_102,X_178))))]]) ).

cnf(refute_0_1162,plain,
    ( ld(X_102,rd(X_102,mult(rd(X_102,X_102),X_178))) != ld(X_102,rd(X_102,X_178))
    | rd(X_102,mult(X_102,ld(X_102,mult(X_178,X_102)))) = ld(X_102,rd(X_102,X_178)) ),
    inference(resolve,[$cnf( $equal(rd(X_102,mult(X_102,ld(X_102,mult(X_178,X_102)))),ld(X_102,rd(X_102,mult(rd(X_102,X_102),X_178)))) )],[refute_0_1160,refute_0_1161]) ).

cnf(refute_0_1163,plain,
    rd(X_102,mult(X_102,ld(X_102,mult(X_178,X_102)))) = ld(X_102,rd(X_102,X_178)),
    inference(resolve,[$cnf( $equal(ld(X_102,rd(X_102,mult(rd(X_102,X_102),X_178))),ld(X_102,rd(X_102,X_178))) )],[refute_0_1152,refute_0_1162]) ).

cnf(refute_0_1164,plain,
    ( rd(X_102,mult(X_102,ld(X_102,mult(X_178,X_102)))) != i(mult(X_102,i(ld(X_178,X_102))))
    | rd(X_102,mult(X_102,ld(X_102,mult(X_178,X_102)))) != ld(X_102,rd(X_102,X_178))
    | ld(X_102,rd(X_102,X_178)) = i(mult(X_102,i(ld(X_178,X_102)))) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(X_102,mult(X_102,ld(X_102,mult(X_178,X_102)))),i(mult(X_102,i(ld(X_178,X_102))))) ),[0],$fot(ld(X_102,rd(X_102,X_178)))]]) ).

cnf(refute_0_1165,plain,
    ( rd(X_102,mult(X_102,ld(X_102,mult(X_178,X_102)))) != i(mult(X_102,i(ld(X_178,X_102))))
    | ld(X_102,rd(X_102,X_178)) = i(mult(X_102,i(ld(X_178,X_102)))) ),
    inference(resolve,[$cnf( $equal(rd(X_102,mult(X_102,ld(X_102,mult(X_178,X_102)))),ld(X_102,rd(X_102,X_178))) )],[refute_0_1163,refute_0_1164]) ).

cnf(refute_0_1166,plain,
    i(i(ld(mult(X_102,X_178),X_102))) = ld(mult(X_102,X_178),X_102),
    inference(subst,[],[refute_0_52:[bind(X_4,$fot(ld(mult(X_102,X_178),X_102)))]]) ).

cnf(refute_0_1167,plain,
    mult(X_45,mult(i(A),X_47)) = mult(rd(mult(X_45,i(A)),X_45),mult(X_45,X_47)),
    inference(subst,[],[c08:[bind(A,$fot(X_45)),bind(B,$fot(i(A))),bind(C,$fot(X_47))]]) ).

cnf(refute_0_1168,plain,
    mult(X_45,i(A)) = i(rd(A,X_45)),
    inference(subst,[],[refute_0_25:[bind(X_12,$fot(X_45))]]) ).

cnf(refute_0_1169,plain,
    ( mult(X_45,i(A)) != i(rd(A,X_45))
    | mult(X_45,mult(i(A),X_47)) != mult(rd(mult(X_45,i(A)),X_45),mult(X_45,X_47))
    | mult(X_45,mult(i(A),X_47)) = mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_45,mult(i(A),X_47)),mult(rd(mult(X_45,i(A)),X_45),mult(X_45,X_47))) ),[1,0,0],$fot(i(rd(A,X_45)))]]) ).

cnf(refute_0_1170,plain,
    ( mult(X_45,mult(i(A),X_47)) != mult(rd(mult(X_45,i(A)),X_45),mult(X_45,X_47))
    | mult(X_45,mult(i(A),X_47)) = mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47)) ),
    inference(resolve,[$cnf( $equal(mult(X_45,i(A)),i(rd(A,X_45))) )],[refute_0_1168,refute_0_1169]) ).

cnf(refute_0_1171,plain,
    mult(X_45,mult(i(A),X_47)) = mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47)),
    inference(resolve,[$cnf( $equal(mult(X_45,mult(i(A),X_47)),mult(rd(mult(X_45,i(A)),X_45),mult(X_45,X_47))) )],[refute_0_1167,refute_0_1170]) ).

cnf(refute_0_1172,plain,
    mult(X_45,i(ld(X_47,A))) = i(rd(ld(X_47,A),X_45)),
    inference(subst,[],[refute_0_25:[bind(A,$fot(ld(X_47,A))),bind(X_12,$fot(X_45))]]) ).

cnf(refute_0_1173,plain,
    mult(i(A),X_47) = i(ld(X_47,A)),
    inference(subst,[],[refute_0_109:[bind(X_13,$fot(X_47)),bind(X_19,$fot(A))]]) ).

cnf(refute_0_1174,plain,
    mult(X_45,mult(i(A),X_47)) = mult(X_45,mult(i(A),X_47)),
    introduced(tautology,[refl,[$fot(mult(X_45,mult(i(A),X_47)))]]) ).

cnf(refute_0_1175,plain,
    ( mult(X_45,mult(i(A),X_47)) != mult(X_45,mult(i(A),X_47))
    | mult(i(A),X_47) != i(ld(X_47,A))
    | mult(X_45,mult(i(A),X_47)) = mult(X_45,i(ld(X_47,A))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_45,mult(i(A),X_47)),mult(X_45,mult(i(A),X_47))) ),[1,1],$fot(i(ld(X_47,A)))]]) ).

cnf(refute_0_1176,plain,
    ( mult(i(A),X_47) != i(ld(X_47,A))
    | mult(X_45,mult(i(A),X_47)) = mult(X_45,i(ld(X_47,A))) ),
    inference(resolve,[$cnf( $equal(mult(X_45,mult(i(A),X_47)),mult(X_45,mult(i(A),X_47))) )],[refute_0_1174,refute_0_1175]) ).

cnf(refute_0_1177,plain,
    mult(X_45,mult(i(A),X_47)) = mult(X_45,i(ld(X_47,A))),
    inference(resolve,[$cnf( $equal(mult(i(A),X_47),i(ld(X_47,A))) )],[refute_0_1173,refute_0_1176]) ).

cnf(refute_0_1178,plain,
    ( mult(X_45,i(ld(X_47,A))) != i(rd(ld(X_47,A),X_45))
    | mult(X_45,mult(i(A),X_47)) != mult(X_45,i(ld(X_47,A)))
    | mult(X_45,mult(i(A),X_47)) = i(rd(ld(X_47,A),X_45)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(X_45,mult(i(A),X_47)))),bind(Y,$fot(mult(X_45,i(ld(X_47,A))))),bind(Z,$fot(i(rd(ld(X_47,A),X_45))))]]) ).

cnf(refute_0_1179,plain,
    ( mult(X_45,i(ld(X_47,A))) != i(rd(ld(X_47,A),X_45))
    | mult(X_45,mult(i(A),X_47)) = i(rd(ld(X_47,A),X_45)) ),
    inference(resolve,[$cnf( $equal(mult(X_45,mult(i(A),X_47)),mult(X_45,i(ld(X_47,A)))) )],[refute_0_1177,refute_0_1178]) ).

cnf(refute_0_1180,plain,
    mult(X_45,mult(i(A),X_47)) = i(rd(ld(X_47,A),X_45)),
    inference(resolve,[$cnf( $equal(mult(X_45,i(ld(X_47,A))),i(rd(ld(X_47,A),X_45))) )],[refute_0_1172,refute_0_1179]) ).

cnf(refute_0_1181,plain,
    ( mult(X_45,mult(i(A),X_47)) != i(rd(ld(X_47,A),X_45))
    | mult(X_45,mult(i(A),X_47)) != mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47))
    | i(rd(ld(X_47,A),X_45)) = mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_45,mult(i(A),X_47)),mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47))) ),[0],$fot(i(rd(ld(X_47,A),X_45)))]]) ).

cnf(refute_0_1182,plain,
    ( mult(X_45,mult(i(A),X_47)) != mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47))
    | i(rd(ld(X_47,A),X_45)) = mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47)) ),
    inference(resolve,[$cnf( $equal(mult(X_45,mult(i(A),X_47)),i(rd(ld(X_47,A),X_45))) )],[refute_0_1180,refute_0_1181]) ).

cnf(refute_0_1183,plain,
    mult(i(mult(X_45,rd(A,X_45))),mult(X_45,X_47)) = i(ld(mult(X_45,X_47),mult(X_45,rd(A,X_45)))),
    inference(subst,[],[refute_0_109:[bind(X_13,$fot(mult(X_45,X_47))),bind(X_19,$fot(mult(X_45,rd(A,X_45))))]]) ).

cnf(refute_0_1184,plain,
    rd(i(rd(A,X_45)),X_45) = i(mult(X_45,rd(A,X_45))),
    inference(subst,[],[refute_0_404:[bind(B,$fot(X_45)),bind(X_14,$fot(rd(A,X_45)))]]) ).

cnf(refute_0_1185,plain,
    mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47)) = mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47)),
    introduced(tautology,[refl,[$fot(mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47)))]]) ).

cnf(refute_0_1186,plain,
    ( mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47)) != mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47))
    | rd(i(rd(A,X_45)),X_45) != i(mult(X_45,rd(A,X_45)))
    | mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47)) = mult(i(mult(X_45,rd(A,X_45))),mult(X_45,X_47)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47)),mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47))) ),[1,0],$fot(i(mult(X_45,rd(A,X_45))))]]) ).

cnf(refute_0_1187,plain,
    ( rd(i(rd(A,X_45)),X_45) != i(mult(X_45,rd(A,X_45)))
    | mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47)) = mult(i(mult(X_45,rd(A,X_45))),mult(X_45,X_47)) ),
    inference(resolve,[$cnf( $equal(mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47)),mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47))) )],[refute_0_1185,refute_0_1186]) ).

cnf(refute_0_1188,plain,
    mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47)) = mult(i(mult(X_45,rd(A,X_45))),mult(X_45,X_47)),
    inference(resolve,[$cnf( $equal(rd(i(rd(A,X_45)),X_45),i(mult(X_45,rd(A,X_45)))) )],[refute_0_1184,refute_0_1187]) ).

cnf(refute_0_1189,plain,
    ( mult(i(mult(X_45,rd(A,X_45))),mult(X_45,X_47)) != i(ld(mult(X_45,X_47),mult(X_45,rd(A,X_45))))
    | mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47)) != mult(i(mult(X_45,rd(A,X_45))),mult(X_45,X_47))
    | mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47)) = i(ld(mult(X_45,X_47),mult(X_45,rd(A,X_45)))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47)))),bind(Y,$fot(mult(i(mult(X_45,rd(A,X_45))),mult(X_45,X_47)))),bind(Z,$fot(i(ld(mult(X_45,X_47),mult(X_45,rd(A,X_45))))))]]) ).

cnf(refute_0_1190,plain,
    ( mult(i(mult(X_45,rd(A,X_45))),mult(X_45,X_47)) != i(ld(mult(X_45,X_47),mult(X_45,rd(A,X_45))))
    | mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47)) = i(ld(mult(X_45,X_47),mult(X_45,rd(A,X_45)))) ),
    inference(resolve,[$cnf( $equal(mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47)),mult(i(mult(X_45,rd(A,X_45))),mult(X_45,X_47))) )],[refute_0_1188,refute_0_1189]) ).

cnf(refute_0_1191,plain,
    mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47)) = i(ld(mult(X_45,X_47),mult(X_45,rd(A,X_45)))),
    inference(resolve,[$cnf( $equal(mult(i(mult(X_45,rd(A,X_45))),mult(X_45,X_47)),i(ld(mult(X_45,X_47),mult(X_45,rd(A,X_45))))) )],[refute_0_1183,refute_0_1190]) ).

cnf(refute_0_1192,plain,
    ( i(rd(ld(X_47,A),X_45)) != mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47))
    | mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47)) != i(ld(mult(X_45,X_47),mult(X_45,rd(A,X_45))))
    | i(rd(ld(X_47,A),X_45)) = i(ld(mult(X_45,X_47),mult(X_45,rd(A,X_45)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(i(rd(ld(X_47,A),X_45)),i(ld(mult(X_45,X_47),mult(X_45,rd(A,X_45))))) ),[0],$fot(mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47)))]]) ).

cnf(refute_0_1193,plain,
    ( i(rd(ld(X_47,A),X_45)) != mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47))
    | i(rd(ld(X_47,A),X_45)) = i(ld(mult(X_45,X_47),mult(X_45,rd(A,X_45)))) ),
    inference(resolve,[$cnf( $equal(mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47)),i(ld(mult(X_45,X_47),mult(X_45,rd(A,X_45))))) )],[refute_0_1191,refute_0_1192]) ).

cnf(refute_0_1194,plain,
    ( mult(X_45,mult(i(A),X_47)) != mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47))
    | i(rd(ld(X_47,A),X_45)) = i(ld(mult(X_45,X_47),mult(X_45,rd(A,X_45)))) ),
    inference(resolve,[$cnf( $equal(i(rd(ld(X_47,A),X_45)),mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47))) )],[refute_0_1182,refute_0_1193]) ).

cnf(refute_0_1195,plain,
    i(rd(ld(X_47,A),X_45)) = i(ld(mult(X_45,X_47),mult(X_45,rd(A,X_45)))),
    inference(resolve,[$cnf( $equal(mult(X_45,mult(i(A),X_47)),mult(rd(i(rd(A,X_45)),X_45),mult(X_45,X_47))) )],[refute_0_1171,refute_0_1194]) ).

cnf(refute_0_1196,plain,
    i(rd(ld(X_98,X_97),X_97)) = i(ld(mult(X_97,X_98),mult(X_97,rd(X_97,X_97)))),
    inference(subst,[],[refute_0_1195:[bind(A,$fot(X_97)),bind(X_45,$fot(X_97)),bind(X_47,$fot(X_98))]]) ).

cnf(refute_0_1197,plain,
    rd(X_97,X_97) = unit,
    inference(subst,[],[refute_0_327:[bind(X_5,$fot(X_97))]]) ).

cnf(refute_0_1198,plain,
    ( i(rd(ld(X_98,X_97),X_97)) != i(ld(mult(X_97,X_98),mult(X_97,rd(X_97,X_97))))
    | rd(X_97,X_97) != unit
    | i(rd(ld(X_98,X_97),X_97)) = i(ld(mult(X_97,X_98),mult(X_97,unit))) ),
    introduced(tautology,[equality,[$cnf( $equal(i(rd(ld(X_98,X_97),X_97)),i(ld(mult(X_97,X_98),mult(X_97,rd(X_97,X_97))))) ),[1,0,1,1],$fot(unit)]]) ).

cnf(refute_0_1199,plain,
    ( i(rd(ld(X_98,X_97),X_97)) != i(ld(mult(X_97,X_98),mult(X_97,rd(X_97,X_97))))
    | i(rd(ld(X_98,X_97),X_97)) = i(ld(mult(X_97,X_98),mult(X_97,unit))) ),
    inference(resolve,[$cnf( $equal(rd(X_97,X_97),unit) )],[refute_0_1197,refute_0_1198]) ).

cnf(refute_0_1200,plain,
    i(rd(ld(X_98,X_97),X_97)) = i(ld(mult(X_97,X_98),mult(X_97,unit))),
    inference(resolve,[$cnf( $equal(i(rd(ld(X_98,X_97),X_97)),i(ld(mult(X_97,X_98),mult(X_97,rd(X_97,X_97))))) )],[refute_0_1196,refute_0_1199]) ).

cnf(refute_0_1201,plain,
    mult(X_97,unit) = X_97,
    inference(subst,[],[c05:[bind(A,$fot(X_97))]]) ).

cnf(refute_0_1202,plain,
    ld(mult(X_97,X_98),mult(X_97,unit)) = ld(mult(X_97,X_98),mult(X_97,unit)),
    introduced(tautology,[refl,[$fot(ld(mult(X_97,X_98),mult(X_97,unit)))]]) ).

cnf(refute_0_1203,plain,
    ( ld(mult(X_97,X_98),mult(X_97,unit)) != ld(mult(X_97,X_98),mult(X_97,unit))
    | mult(X_97,unit) != X_97
    | ld(mult(X_97,X_98),mult(X_97,unit)) = ld(mult(X_97,X_98),X_97) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_97,X_98),mult(X_97,unit)),ld(mult(X_97,X_98),mult(X_97,unit))) ),[1,1],$fot(X_97)]]) ).

cnf(refute_0_1204,plain,
    ( mult(X_97,unit) != X_97
    | ld(mult(X_97,X_98),mult(X_97,unit)) = ld(mult(X_97,X_98),X_97) ),
    inference(resolve,[$cnf( $equal(ld(mult(X_97,X_98),mult(X_97,unit)),ld(mult(X_97,X_98),mult(X_97,unit))) )],[refute_0_1202,refute_0_1203]) ).

cnf(refute_0_1205,plain,
    ld(mult(X_97,X_98),mult(X_97,unit)) = ld(mult(X_97,X_98),X_97),
    inference(resolve,[$cnf( $equal(mult(X_97,unit),X_97) )],[refute_0_1201,refute_0_1204]) ).

cnf(refute_0_1206,plain,
    i(ld(mult(X_97,X_98),mult(X_97,unit))) = i(ld(mult(X_97,X_98),mult(X_97,unit))),
    introduced(tautology,[refl,[$fot(i(ld(mult(X_97,X_98),mult(X_97,unit))))]]) ).

cnf(refute_0_1207,plain,
    ( i(ld(mult(X_97,X_98),mult(X_97,unit))) != i(ld(mult(X_97,X_98),mult(X_97,unit)))
    | ld(mult(X_97,X_98),mult(X_97,unit)) != ld(mult(X_97,X_98),X_97)
    | i(ld(mult(X_97,X_98),mult(X_97,unit))) = i(ld(mult(X_97,X_98),X_97)) ),
    introduced(tautology,[equality,[$cnf( $equal(i(ld(mult(X_97,X_98),mult(X_97,unit))),i(ld(mult(X_97,X_98),mult(X_97,unit)))) ),[1,0],$fot(ld(mult(X_97,X_98),X_97))]]) ).

cnf(refute_0_1208,plain,
    ( ld(mult(X_97,X_98),mult(X_97,unit)) != ld(mult(X_97,X_98),X_97)
    | i(ld(mult(X_97,X_98),mult(X_97,unit))) = i(ld(mult(X_97,X_98),X_97)) ),
    inference(resolve,[$cnf( $equal(i(ld(mult(X_97,X_98),mult(X_97,unit))),i(ld(mult(X_97,X_98),mult(X_97,unit)))) )],[refute_0_1206,refute_0_1207]) ).

cnf(refute_0_1209,plain,
    i(ld(mult(X_97,X_98),mult(X_97,unit))) = i(ld(mult(X_97,X_98),X_97)),
    inference(resolve,[$cnf( $equal(ld(mult(X_97,X_98),mult(X_97,unit)),ld(mult(X_97,X_98),X_97)) )],[refute_0_1205,refute_0_1208]) ).

cnf(refute_0_1210,plain,
    ( i(ld(mult(X_97,X_98),mult(X_97,unit))) != i(ld(mult(X_97,X_98),X_97))
    | i(rd(ld(X_98,X_97),X_97)) != i(ld(mult(X_97,X_98),mult(X_97,unit)))
    | i(rd(ld(X_98,X_97),X_97)) = i(ld(mult(X_97,X_98),X_97)) ),
    introduced(tautology,[equality,[$cnf( $equal(i(rd(ld(X_98,X_97),X_97)),i(ld(mult(X_97,X_98),mult(X_97,unit)))) ),[1],$fot(i(ld(mult(X_97,X_98),X_97)))]]) ).

cnf(refute_0_1211,plain,
    ( i(rd(ld(X_98,X_97),X_97)) != i(ld(mult(X_97,X_98),mult(X_97,unit)))
    | i(rd(ld(X_98,X_97),X_97)) = i(ld(mult(X_97,X_98),X_97)) ),
    inference(resolve,[$cnf( $equal(i(ld(mult(X_97,X_98),mult(X_97,unit))),i(ld(mult(X_97,X_98),X_97))) )],[refute_0_1209,refute_0_1210]) ).

cnf(refute_0_1212,plain,
    i(rd(ld(X_98,X_97),X_97)) = i(ld(mult(X_97,X_98),X_97)),
    inference(resolve,[$cnf( $equal(i(rd(ld(X_98,X_97),X_97)),i(ld(mult(X_97,X_98),mult(X_97,unit)))) )],[refute_0_1200,refute_0_1211]) ).

cnf(refute_0_1213,plain,
    i(rd(ld(X_178,X_102),X_102)) = i(ld(mult(X_102,X_178),X_102)),
    inference(subst,[],[refute_0_1212:[bind(X_97,$fot(X_102)),bind(X_98,$fot(X_178))]]) ).

cnf(refute_0_1214,plain,
    mult(X_102,i(ld(X_178,X_102))) = i(rd(ld(X_178,X_102),X_102)),
    inference(subst,[],[refute_0_25:[bind(A,$fot(ld(X_178,X_102))),bind(X_12,$fot(X_102))]]) ).

cnf(refute_0_1215,plain,
    ( i(rd(ld(X_178,X_102),X_102)) != i(ld(mult(X_102,X_178),X_102))
    | mult(X_102,i(ld(X_178,X_102))) != i(rd(ld(X_178,X_102),X_102))
    | mult(X_102,i(ld(X_178,X_102))) = i(ld(mult(X_102,X_178),X_102)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(X_102,i(ld(X_178,X_102))))),bind(Y,$fot(i(rd(ld(X_178,X_102),X_102)))),bind(Z,$fot(i(ld(mult(X_102,X_178),X_102))))]]) ).

cnf(refute_0_1216,plain,
    ( i(rd(ld(X_178,X_102),X_102)) != i(ld(mult(X_102,X_178),X_102))
    | mult(X_102,i(ld(X_178,X_102))) = i(ld(mult(X_102,X_178),X_102)) ),
    inference(resolve,[$cnf( $equal(mult(X_102,i(ld(X_178,X_102))),i(rd(ld(X_178,X_102),X_102))) )],[refute_0_1214,refute_0_1215]) ).

cnf(refute_0_1217,plain,
    mult(X_102,i(ld(X_178,X_102))) = i(ld(mult(X_102,X_178),X_102)),
    inference(resolve,[$cnf( $equal(i(rd(ld(X_178,X_102),X_102)),i(ld(mult(X_102,X_178),X_102))) )],[refute_0_1213,refute_0_1216]) ).

cnf(refute_0_1218,plain,
    i(mult(X_102,i(ld(X_178,X_102)))) = i(mult(X_102,i(ld(X_178,X_102)))),
    introduced(tautology,[refl,[$fot(i(mult(X_102,i(ld(X_178,X_102)))))]]) ).

cnf(refute_0_1219,plain,
    ( i(mult(X_102,i(ld(X_178,X_102)))) != i(mult(X_102,i(ld(X_178,X_102))))
    | mult(X_102,i(ld(X_178,X_102))) != i(ld(mult(X_102,X_178),X_102))
    | i(mult(X_102,i(ld(X_178,X_102)))) = i(i(ld(mult(X_102,X_178),X_102))) ),
    introduced(tautology,[equality,[$cnf( $equal(i(mult(X_102,i(ld(X_178,X_102)))),i(mult(X_102,i(ld(X_178,X_102))))) ),[1,0],$fot(i(ld(mult(X_102,X_178),X_102)))]]) ).

cnf(refute_0_1220,plain,
    ( mult(X_102,i(ld(X_178,X_102))) != i(ld(mult(X_102,X_178),X_102))
    | i(mult(X_102,i(ld(X_178,X_102)))) = i(i(ld(mult(X_102,X_178),X_102))) ),
    inference(resolve,[$cnf( $equal(i(mult(X_102,i(ld(X_178,X_102)))),i(mult(X_102,i(ld(X_178,X_102))))) )],[refute_0_1218,refute_0_1219]) ).

cnf(refute_0_1221,plain,
    i(mult(X_102,i(ld(X_178,X_102)))) = i(i(ld(mult(X_102,X_178),X_102))),
    inference(resolve,[$cnf( $equal(mult(X_102,i(ld(X_178,X_102))),i(ld(mult(X_102,X_178),X_102))) )],[refute_0_1217,refute_0_1220]) ).

cnf(refute_0_1222,plain,
    ( i(i(ld(mult(X_102,X_178),X_102))) != ld(mult(X_102,X_178),X_102)
    | i(mult(X_102,i(ld(X_178,X_102)))) != i(i(ld(mult(X_102,X_178),X_102)))
    | i(mult(X_102,i(ld(X_178,X_102)))) = ld(mult(X_102,X_178),X_102) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(i(mult(X_102,i(ld(X_178,X_102)))))),bind(Y,$fot(i(i(ld(mult(X_102,X_178),X_102))))),bind(Z,$fot(ld(mult(X_102,X_178),X_102)))]]) ).

cnf(refute_0_1223,plain,
    ( i(i(ld(mult(X_102,X_178),X_102))) != ld(mult(X_102,X_178),X_102)
    | i(mult(X_102,i(ld(X_178,X_102)))) = ld(mult(X_102,X_178),X_102) ),
    inference(resolve,[$cnf( $equal(i(mult(X_102,i(ld(X_178,X_102)))),i(i(ld(mult(X_102,X_178),X_102)))) )],[refute_0_1221,refute_0_1222]) ).

cnf(refute_0_1224,plain,
    i(mult(X_102,i(ld(X_178,X_102)))) = ld(mult(X_102,X_178),X_102),
    inference(resolve,[$cnf( $equal(i(i(ld(mult(X_102,X_178),X_102))),ld(mult(X_102,X_178),X_102)) )],[refute_0_1166,refute_0_1223]) ).

cnf(refute_0_1225,plain,
    ( i(mult(X_102,i(ld(X_178,X_102)))) != ld(mult(X_102,X_178),X_102)
    | ld(X_102,rd(X_102,X_178)) != i(mult(X_102,i(ld(X_178,X_102))))
    | ld(X_102,rd(X_102,X_178)) = ld(mult(X_102,X_178),X_102) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(X_102,rd(X_102,X_178)),i(mult(X_102,i(ld(X_178,X_102))))) ),[1],$fot(ld(mult(X_102,X_178),X_102))]]) ).

cnf(refute_0_1226,plain,
    ( ld(X_102,rd(X_102,X_178)) != i(mult(X_102,i(ld(X_178,X_102))))
    | ld(X_102,rd(X_102,X_178)) = ld(mult(X_102,X_178),X_102) ),
    inference(resolve,[$cnf( $equal(i(mult(X_102,i(ld(X_178,X_102)))),ld(mult(X_102,X_178),X_102)) )],[refute_0_1224,refute_0_1225]) ).

cnf(refute_0_1227,plain,
    ( rd(X_102,mult(X_102,ld(X_102,mult(X_178,X_102)))) != i(mult(X_102,i(ld(X_178,X_102))))
    | ld(X_102,rd(X_102,X_178)) = ld(mult(X_102,X_178),X_102) ),
    inference(resolve,[$cnf( $equal(ld(X_102,rd(X_102,X_178)),i(mult(X_102,i(ld(X_178,X_102))))) )],[refute_0_1165,refute_0_1226]) ).

cnf(refute_0_1228,plain,
    ld(X_102,rd(X_102,X_178)) = ld(mult(X_102,X_178),X_102),
    inference(resolve,[$cnf( $equal(rd(X_102,mult(X_102,ld(X_102,mult(X_178,X_102)))),i(mult(X_102,i(ld(X_178,X_102))))) )],[refute_0_1135,refute_0_1227]) ).

cnf(refute_0_1229,plain,
    ld(A,rd(A,X_189)) = ld(mult(A,X_189),A),
    inference(subst,[],[refute_0_1228:[bind(X_102,$fot(A)),bind(X_178,$fot(X_189))]]) ).

cnf(refute_0_1230,plain,
    ( ld(A,rd(A,X_189)) != ld(mult(A,X_189),A)
    | ld(mult(A,X_189),A) = ld(A,rd(A,X_189)) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ld(A,rd(A,X_189)))),bind(Y,$fot(ld(mult(A,X_189),A)))]]) ).

cnf(refute_0_1231,plain,
    ld(mult(A,X_189),A) = ld(A,rd(A,X_189)),
    inference(resolve,[$cnf( $equal(ld(A,rd(A,X_189)),ld(mult(A,X_189),A)) )],[refute_0_1229,refute_0_1230]) ).

cnf(refute_0_1232,plain,
    ( ld(mult(A,X_189),A) != ld(A,rd(A,X_189))
    | mult(A,ld(ld(mult(A,X_189),A),A)) != ld(i(mult(A,X_189)),A)
    | mult(A,ld(ld(A,rd(A,X_189)),A)) = ld(i(mult(A,X_189)),A) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(A,ld(ld(mult(A,X_189),A),A)),ld(i(mult(A,X_189)),A)) ),[0,1,0],$fot(ld(A,rd(A,X_189)))]]) ).

cnf(refute_0_1233,plain,
    ( mult(A,ld(ld(mult(A,X_189),A),A)) != ld(i(mult(A,X_189)),A)
    | mult(A,ld(ld(A,rd(A,X_189)),A)) = ld(i(mult(A,X_189)),A) ),
    inference(resolve,[$cnf( $equal(ld(mult(A,X_189),A),ld(A,rd(A,X_189))) )],[refute_0_1231,refute_0_1232]) ).

cnf(refute_0_1234,plain,
    mult(A,ld(ld(A,rd(A,X_189)),A)) = ld(i(mult(A,X_189)),A),
    inference(resolve,[$cnf( $equal(mult(A,ld(ld(mult(A,X_189),A),A)),ld(i(mult(A,X_189)),A)) )],[refute_0_1067,refute_0_1233]) ).

cnf(refute_0_1235,plain,
    ld(rd(mult(X_68,ld(X_68,B)),X_68),mult(X_68,mult(ld(X_68,B),X_70))) = mult(X_68,X_70),
    inference(subst,[],[refute_0_189:[bind(X_45,$fot(X_68)),bind(X_46,$fot(ld(X_68,B))),bind(X_47,$fot(X_70))]]) ).

cnf(refute_0_1236,plain,
    mult(X_68,ld(X_68,B)) = B,
    inference(subst,[],[c01:[bind(A,$fot(X_68))]]) ).

cnf(refute_0_1237,plain,
    ( ld(rd(mult(X_68,ld(X_68,B)),X_68),mult(X_68,mult(ld(X_68,B),X_70))) != mult(X_68,X_70)
    | mult(X_68,ld(X_68,B)) != B
    | ld(rd(B,X_68),mult(X_68,mult(ld(X_68,B),X_70))) = mult(X_68,X_70) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(rd(mult(X_68,ld(X_68,B)),X_68),mult(X_68,mult(ld(X_68,B),X_70))),mult(X_68,X_70)) ),[0,0,0],$fot(B)]]) ).

cnf(refute_0_1238,plain,
    ( ld(rd(mult(X_68,ld(X_68,B)),X_68),mult(X_68,mult(ld(X_68,B),X_70))) != mult(X_68,X_70)
    | ld(rd(B,X_68),mult(X_68,mult(ld(X_68,B),X_70))) = mult(X_68,X_70) ),
    inference(resolve,[$cnf( $equal(mult(X_68,ld(X_68,B)),B) )],[refute_0_1236,refute_0_1237]) ).

cnf(refute_0_1239,plain,
    ld(rd(B,X_68),mult(X_68,mult(ld(X_68,B),X_70))) = mult(X_68,X_70),
    inference(resolve,[$cnf( $equal(ld(rd(mult(X_68,ld(X_68,B)),X_68),mult(X_68,mult(ld(X_68,B),X_70))),mult(X_68,X_70)) )],[refute_0_1235,refute_0_1238]) ).

cnf(refute_0_1240,plain,
    ld(rd(rd(X_136,X_94),X_136),mult(X_136,mult(ld(X_136,rd(X_136,X_94)),mult(X_94,X_136)))) = mult(X_136,mult(X_94,X_136)),
    inference(subst,[],[refute_0_1239:[bind(B,$fot(rd(X_136,X_94))),bind(X_68,$fot(X_136)),bind(X_70,$fot(mult(X_94,X_136)))]]) ).

cnf(refute_0_1241,plain,
    mult(rd(A,mult(X_94,A)),mult(X_94,A)) = A,
    inference(subst,[],[c03:[bind(B,$fot(mult(X_94,A)))]]) ).

cnf(refute_0_1242,plain,
    ( mult(rd(A,mult(X_94,A)),mult(X_94,A)) != A
    | rd(A,mult(X_94,A)) != ld(A,rd(A,X_94))
    | mult(ld(A,rd(A,X_94)),mult(X_94,A)) = A ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(A,mult(X_94,A)),mult(X_94,A)),A) ),[0,0],$fot(ld(A,rd(A,X_94)))]]) ).

cnf(refute_0_1243,plain,
    ( mult(rd(A,mult(X_94,A)),mult(X_94,A)) != A
    | mult(ld(A,rd(A,X_94)),mult(X_94,A)) = A ),
    inference(resolve,[$cnf( $equal(rd(A,mult(X_94,A)),ld(A,rd(A,X_94))) )],[refute_0_516,refute_0_1242]) ).

cnf(refute_0_1244,plain,
    mult(ld(A,rd(A,X_94)),mult(X_94,A)) = A,
    inference(resolve,[$cnf( $equal(mult(rd(A,mult(X_94,A)),mult(X_94,A)),A) )],[refute_0_1241,refute_0_1243]) ).

cnf(refute_0_1245,plain,
    mult(ld(X_136,rd(X_136,X_94)),mult(X_94,X_136)) = X_136,
    inference(subst,[],[refute_0_1244:[bind(A,$fot(X_136))]]) ).

cnf(refute_0_1246,plain,
    ( ld(rd(rd(X_136,X_94),X_136),mult(X_136,mult(ld(X_136,rd(X_136,X_94)),mult(X_94,X_136)))) != mult(X_136,mult(X_94,X_136))
    | mult(ld(X_136,rd(X_136,X_94)),mult(X_94,X_136)) != X_136
    | ld(rd(rd(X_136,X_94),X_136),mult(X_136,X_136)) = mult(X_136,mult(X_94,X_136)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(rd(rd(X_136,X_94),X_136),mult(X_136,mult(ld(X_136,rd(X_136,X_94)),mult(X_94,X_136)))),mult(X_136,mult(X_94,X_136))) ),[0,1,1],$fot(X_136)]]) ).

cnf(refute_0_1247,plain,
    ( ld(rd(rd(X_136,X_94),X_136),mult(X_136,mult(ld(X_136,rd(X_136,X_94)),mult(X_94,X_136)))) != mult(X_136,mult(X_94,X_136))
    | ld(rd(rd(X_136,X_94),X_136),mult(X_136,X_136)) = mult(X_136,mult(X_94,X_136)) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_136,rd(X_136,X_94)),mult(X_94,X_136)),X_136) )],[refute_0_1245,refute_0_1246]) ).

cnf(refute_0_1248,plain,
    ld(rd(rd(X_136,X_94),X_136),mult(X_136,X_136)) = mult(X_136,mult(X_94,X_136)),
    inference(resolve,[$cnf( $equal(ld(rd(rd(X_136,X_94),X_136),mult(X_136,mult(ld(X_136,rd(X_136,X_94)),mult(X_94,X_136)))),mult(X_136,mult(X_94,X_136))) )],[refute_0_1240,refute_0_1247]) ).

cnf(refute_0_1249,plain,
    ld(rd(rd(A,X_189),A),mult(A,A)) = mult(A,mult(X_189,A)),
    inference(subst,[],[refute_0_1248:[bind(X_136,$fot(A)),bind(X_94,$fot(X_189))]]) ).

cnf(refute_0_1250,plain,
    ld(rd(mult(X_133,ld(X_133,B)),X_133),mult(X_133,X_132)) = mult(X_133,ld(ld(X_133,B),X_132)),
    inference(subst,[],[refute_0_194:[bind(B,$fot(X_132)),bind(X_68,$fot(X_133)),bind(X_69,$fot(ld(X_133,B)))]]) ).

cnf(refute_0_1251,plain,
    mult(X_133,ld(X_133,B)) = B,
    inference(subst,[],[c01:[bind(A,$fot(X_133))]]) ).

cnf(refute_0_1252,plain,
    ( ld(rd(mult(X_133,ld(X_133,B)),X_133),mult(X_133,X_132)) != mult(X_133,ld(ld(X_133,B),X_132))
    | mult(X_133,ld(X_133,B)) != B
    | ld(rd(B,X_133),mult(X_133,X_132)) = mult(X_133,ld(ld(X_133,B),X_132)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(rd(mult(X_133,ld(X_133,B)),X_133),mult(X_133,X_132)),mult(X_133,ld(ld(X_133,B),X_132))) ),[0,0,0],$fot(B)]]) ).

cnf(refute_0_1253,plain,
    ( ld(rd(mult(X_133,ld(X_133,B)),X_133),mult(X_133,X_132)) != mult(X_133,ld(ld(X_133,B),X_132))
    | ld(rd(B,X_133),mult(X_133,X_132)) = mult(X_133,ld(ld(X_133,B),X_132)) ),
    inference(resolve,[$cnf( $equal(mult(X_133,ld(X_133,B)),B) )],[refute_0_1251,refute_0_1252]) ).

cnf(refute_0_1254,plain,
    ld(rd(B,X_133),mult(X_133,X_132)) = mult(X_133,ld(ld(X_133,B),X_132)),
    inference(resolve,[$cnf( $equal(ld(rd(mult(X_133,ld(X_133,B)),X_133),mult(X_133,X_132)),mult(X_133,ld(ld(X_133,B),X_132))) )],[refute_0_1250,refute_0_1253]) ).

cnf(refute_0_1255,plain,
    ( ld(rd(B,X_133),mult(X_133,X_132)) != mult(X_133,ld(ld(X_133,B),X_132))
    | mult(X_133,ld(ld(X_133,B),X_132)) = ld(rd(B,X_133),mult(X_133,X_132)) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ld(rd(B,X_133),mult(X_133,X_132)))),bind(Y,$fot(mult(X_133,ld(ld(X_133,B),X_132))))]]) ).

cnf(refute_0_1256,plain,
    mult(X_133,ld(ld(X_133,B),X_132)) = ld(rd(B,X_133),mult(X_133,X_132)),
    inference(resolve,[$cnf( $equal(ld(rd(B,X_133),mult(X_133,X_132)),mult(X_133,ld(ld(X_133,B),X_132))) )],[refute_0_1254,refute_0_1255]) ).

cnf(refute_0_1257,plain,
    mult(A,ld(ld(A,rd(A,X_189)),A)) = ld(rd(rd(A,X_189),A),mult(A,A)),
    inference(subst,[],[refute_0_1256:[bind(B,$fot(rd(A,X_189))),bind(X_132,$fot(A)),bind(X_133,$fot(A))]]) ).

cnf(refute_0_1258,plain,
    ( ld(rd(rd(A,X_189),A),mult(A,A)) != mult(A,mult(X_189,A))
    | mult(A,ld(ld(A,rd(A,X_189)),A)) != ld(rd(rd(A,X_189),A),mult(A,A))
    | mult(A,ld(ld(A,rd(A,X_189)),A)) = mult(A,mult(X_189,A)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(A,ld(ld(A,rd(A,X_189)),A)))),bind(Y,$fot(ld(rd(rd(A,X_189),A),mult(A,A)))),bind(Z,$fot(mult(A,mult(X_189,A))))]]) ).

cnf(refute_0_1259,plain,
    ( ld(rd(rd(A,X_189),A),mult(A,A)) != mult(A,mult(X_189,A))
    | mult(A,ld(ld(A,rd(A,X_189)),A)) = mult(A,mult(X_189,A)) ),
    inference(resolve,[$cnf( $equal(mult(A,ld(ld(A,rd(A,X_189)),A)),ld(rd(rd(A,X_189),A),mult(A,A))) )],[refute_0_1257,refute_0_1258]) ).

cnf(refute_0_1260,plain,
    mult(A,ld(ld(A,rd(A,X_189)),A)) = mult(A,mult(X_189,A)),
    inference(resolve,[$cnf( $equal(ld(rd(rd(A,X_189),A),mult(A,A)),mult(A,mult(X_189,A))) )],[refute_0_1249,refute_0_1259]) ).

cnf(refute_0_1261,plain,
    ( mult(A,ld(ld(A,rd(A,X_189)),A)) != ld(i(mult(A,X_189)),A)
    | mult(A,ld(ld(A,rd(A,X_189)),A)) != mult(A,mult(X_189,A))
    | mult(A,mult(X_189,A)) = ld(i(mult(A,X_189)),A) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(A,ld(ld(A,rd(A,X_189)),A)),ld(i(mult(A,X_189)),A)) ),[0],$fot(mult(A,mult(X_189,A)))]]) ).

cnf(refute_0_1262,plain,
    ( mult(A,ld(ld(A,rd(A,X_189)),A)) != ld(i(mult(A,X_189)),A)
    | mult(A,mult(X_189,A)) = ld(i(mult(A,X_189)),A) ),
    inference(resolve,[$cnf( $equal(mult(A,ld(ld(A,rd(A,X_189)),A)),mult(A,mult(X_189,A))) )],[refute_0_1260,refute_0_1261]) ).

cnf(refute_0_1263,plain,
    mult(A,mult(X_189,A)) = ld(i(mult(A,X_189)),A),
    inference(resolve,[$cnf( $equal(mult(A,ld(ld(A,rd(A,X_189)),A)),ld(i(mult(A,X_189)),A)) )],[refute_0_1234,refute_0_1262]) ).

cnf(refute_0_1264,plain,
    mult(X_91,mult(X_365,X_91)) = ld(i(mult(X_91,X_365)),X_91),
    inference(subst,[],[refute_0_1263:[bind(A,$fot(X_91)),bind(X_189,$fot(X_365))]]) ).

cnf(refute_0_1265,plain,
    ( mult(X_91,mult(X_365,X_91)) != ld(i(mult(X_91,X_365)),X_91)
    | ld(i(mult(X_91,X_365)),X_91) = mult(X_91,mult(X_365,X_91)) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(mult(X_91,mult(X_365,X_91)))),bind(Y,$fot(ld(i(mult(X_91,X_365)),X_91)))]]) ).

cnf(refute_0_1266,plain,
    ld(i(mult(X_91,X_365)),X_91) = mult(X_91,mult(X_365,X_91)),
    inference(resolve,[$cnf( $equal(mult(X_91,mult(X_365,X_91)),ld(i(mult(X_91,X_365)),X_91)) )],[refute_0_1264,refute_0_1265]) ).

cnf(refute_0_1267,plain,
    ( i(ld(X_91,rd(rd(i(mult(X_91,X_365)),X_91),X_90))) != mult(mult(X_90,X_91),ld(i(mult(X_91,X_365)),X_91))
    | ld(i(mult(X_91,X_365)),X_91) != mult(X_91,mult(X_365,X_91))
    | i(ld(X_91,rd(rd(i(mult(X_91,X_365)),X_91),X_90))) = mult(mult(X_90,X_91),mult(X_91,mult(X_365,X_91))) ),
    introduced(tautology,[equality,[$cnf( $equal(i(ld(X_91,rd(rd(i(mult(X_91,X_365)),X_91),X_90))),mult(mult(X_90,X_91),ld(i(mult(X_91,X_365)),X_91))) ),[1,1],$fot(mult(X_91,mult(X_365,X_91)))]]) ).

cnf(refute_0_1268,plain,
    ( i(ld(X_91,rd(rd(i(mult(X_91,X_365)),X_91),X_90))) != mult(mult(X_90,X_91),ld(i(mult(X_91,X_365)),X_91))
    | i(ld(X_91,rd(rd(i(mult(X_91,X_365)),X_91),X_90))) = mult(mult(X_90,X_91),mult(X_91,mult(X_365,X_91))) ),
    inference(resolve,[$cnf( $equal(ld(i(mult(X_91,X_365)),X_91),mult(X_91,mult(X_365,X_91))) )],[refute_0_1266,refute_0_1267]) ).

cnf(refute_0_1269,plain,
    i(ld(X_91,rd(rd(i(mult(X_91,X_365)),X_91),X_90))) = mult(mult(X_90,X_91),mult(X_91,mult(X_365,X_91))),
    inference(resolve,[$cnf( $equal(i(ld(X_91,rd(rd(i(mult(X_91,X_365)),X_91),X_90))),mult(mult(X_90,X_91),ld(i(mult(X_91,X_365)),X_91))) )],[refute_0_130,refute_0_1268]) ).

cnf(refute_0_1270,plain,
    mult(mult(X_51,rd(mult(mult(X_53,X_204),X_53),X_53)),X_53) = mult(mult(X_51,X_53),ld(X_53,mult(mult(X_53,X_204),X_53))),
    inference(subst,[],[refute_0_4:[bind(A,$fot(mult(mult(X_53,X_204),X_53)))]]) ).

cnf(refute_0_1271,plain,
    mult(rd(mult(B,ld(X_80,B)),B),B) = mult(B,ld(X_80,B)),
    inference(subst,[],[c03:[bind(A,$fot(mult(B,ld(X_80,B))))]]) ).

cnf(refute_0_1272,plain,
    i(rd(X_80,B)) = rd(mult(B,ld(X_80,B)),B),
    inference(subst,[],[refute_0_85:[bind(A,$fot(X_80)),bind(X_74,$fot(B))]]) ).

cnf(refute_0_1273,plain,
    ( i(rd(X_80,B)) != rd(mult(B,ld(X_80,B)),B)
    | rd(mult(B,ld(X_80,B)),B) = i(rd(X_80,B)) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(i(rd(X_80,B)))),bind(Y,$fot(rd(mult(B,ld(X_80,B)),B)))]]) ).

cnf(refute_0_1274,plain,
    rd(mult(B,ld(X_80,B)),B) = i(rd(X_80,B)),
    inference(resolve,[$cnf( $equal(i(rd(X_80,B)),rd(mult(B,ld(X_80,B)),B)) )],[refute_0_1272,refute_0_1273]) ).

cnf(refute_0_1275,plain,
    ( mult(rd(mult(B,ld(X_80,B)),B),B) != mult(B,ld(X_80,B))
    | rd(mult(B,ld(X_80,B)),B) != i(rd(X_80,B))
    | mult(i(rd(X_80,B)),B) = mult(B,ld(X_80,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(B,ld(X_80,B)),B),B),mult(B,ld(X_80,B))) ),[0,0],$fot(i(rd(X_80,B)))]]) ).

cnf(refute_0_1276,plain,
    ( mult(rd(mult(B,ld(X_80,B)),B),B) != mult(B,ld(X_80,B))
    | mult(i(rd(X_80,B)),B) = mult(B,ld(X_80,B)) ),
    inference(resolve,[$cnf( $equal(rd(mult(B,ld(X_80,B)),B),i(rd(X_80,B))) )],[refute_0_1274,refute_0_1275]) ).

cnf(refute_0_1277,plain,
    mult(i(rd(X_80,B)),B) = mult(B,ld(X_80,B)),
    inference(resolve,[$cnf( $equal(mult(rd(mult(B,ld(X_80,B)),B),B),mult(B,ld(X_80,B))) )],[refute_0_1271,refute_0_1276]) ).

cnf(refute_0_1278,plain,
    mult(i(rd(X_80,B)),B) = i(ld(B,rd(X_80,B))),
    inference(subst,[],[refute_0_109:[bind(X_13,$fot(B)),bind(X_19,$fot(rd(X_80,B)))]]) ).

cnf(refute_0_1279,plain,
    ( mult(i(rd(X_80,B)),B) != i(ld(B,rd(X_80,B)))
    | mult(i(rd(X_80,B)),B) != mult(B,ld(X_80,B))
    | i(ld(B,rd(X_80,B))) = mult(B,ld(X_80,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(i(rd(X_80,B)),B),mult(B,ld(X_80,B))) ),[0],$fot(i(ld(B,rd(X_80,B))))]]) ).

cnf(refute_0_1280,plain,
    ( mult(i(rd(X_80,B)),B) != mult(B,ld(X_80,B))
    | i(ld(B,rd(X_80,B))) = mult(B,ld(X_80,B)) ),
    inference(resolve,[$cnf( $equal(mult(i(rd(X_80,B)),B),i(ld(B,rd(X_80,B)))) )],[refute_0_1278,refute_0_1279]) ).

cnf(refute_0_1281,plain,
    i(ld(B,rd(X_80,B))) = mult(B,ld(X_80,B)),
    inference(resolve,[$cnf( $equal(mult(i(rd(X_80,B)),B),mult(B,ld(X_80,B))) )],[refute_0_1277,refute_0_1280]) ).

cnf(refute_0_1282,plain,
    i(ld(B,rd(ld(X_161,B),B))) = mult(B,ld(ld(X_161,B),B)),
    inference(subst,[],[refute_0_1281:[bind(X_80,$fot(ld(X_161,B)))]]) ).

cnf(refute_0_1283,plain,
    mult(B,ld(ld(X_161,B),B)) = ld(i(X_161),B),
    inference(subst,[],[refute_0_1066:[bind(A,$fot(B)),bind(X_86,$fot(X_161))]]) ).

cnf(refute_0_1284,plain,
    ( i(ld(B,rd(ld(X_161,B),B))) != mult(B,ld(ld(X_161,B),B))
    | mult(B,ld(ld(X_161,B),B)) != ld(i(X_161),B)
    | i(ld(B,rd(ld(X_161,B),B))) = ld(i(X_161),B) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(i(ld(B,rd(ld(X_161,B),B))),ld(i(X_161),B)) ),[0],$fot(mult(B,ld(ld(X_161,B),B)))]]) ).

cnf(refute_0_1285,plain,
    ( i(ld(B,rd(ld(X_161,B),B))) != mult(B,ld(ld(X_161,B),B))
    | i(ld(B,rd(ld(X_161,B),B))) = ld(i(X_161),B) ),
    inference(resolve,[$cnf( $equal(mult(B,ld(ld(X_161,B),B)),ld(i(X_161),B)) )],[refute_0_1283,refute_0_1284]) ).

cnf(refute_0_1286,plain,
    i(ld(B,rd(ld(X_161,B),B))) = ld(i(X_161),B),
    inference(resolve,[$cnf( $equal(i(ld(B,rd(ld(X_161,B),B))),mult(B,ld(ld(X_161,B),B))) )],[refute_0_1282,refute_0_1285]) ).

cnf(refute_0_1287,plain,
    i(ld(B,ld(mult(B,X_161),B))) = ld(B,mult(mult(B,X_161),B)),
    inference(subst,[],[refute_0_446:[bind(X_58,$fot(mult(B,X_161))),bind(X_59,$fot(B))]]) ).

cnf(refute_0_1288,plain,
    mult(X_45,mult(ld(ld(X_161,X_45),X_45),ld(X_45,B))) = mult(rd(mult(X_45,ld(ld(X_161,X_45),X_45)),X_45),B),
    inference(subst,[],[refute_0_11:[bind(X_46,$fot(ld(ld(X_161,X_45),X_45)))]]) ).

cnf(refute_0_1289,plain,
    mult(X_45,ld(ld(X_161,X_45),X_45)) = ld(i(X_161),X_45),
    inference(subst,[],[refute_0_1066:[bind(A,$fot(X_45)),bind(X_86,$fot(X_161))]]) ).

cnf(refute_0_1290,plain,
    ( mult(X_45,ld(ld(X_161,X_45),X_45)) != ld(i(X_161),X_45)
    | mult(X_45,mult(ld(ld(X_161,X_45),X_45),ld(X_45,B))) != mult(rd(mult(X_45,ld(ld(X_161,X_45),X_45)),X_45),B)
    | mult(X_45,mult(ld(ld(X_161,X_45),X_45),ld(X_45,B))) = mult(rd(ld(i(X_161),X_45),X_45),B) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_45,mult(ld(ld(X_161,X_45),X_45),ld(X_45,B))),mult(rd(mult(X_45,ld(ld(X_161,X_45),X_45)),X_45),B)) ),[1,0,0],$fot(ld(i(X_161),X_45))]]) ).

cnf(refute_0_1291,plain,
    ( mult(X_45,mult(ld(ld(X_161,X_45),X_45),ld(X_45,B))) != mult(rd(mult(X_45,ld(ld(X_161,X_45),X_45)),X_45),B)
    | mult(X_45,mult(ld(ld(X_161,X_45),X_45),ld(X_45,B))) = mult(rd(ld(i(X_161),X_45),X_45),B) ),
    inference(resolve,[$cnf( $equal(mult(X_45,ld(ld(X_161,X_45),X_45)),ld(i(X_161),X_45)) )],[refute_0_1289,refute_0_1290]) ).

cnf(refute_0_1292,plain,
    mult(X_45,mult(ld(ld(X_161,X_45),X_45),ld(X_45,B))) = mult(rd(ld(i(X_161),X_45),X_45),B),
    inference(resolve,[$cnf( $equal(mult(X_45,mult(ld(ld(X_161,X_45),X_45),ld(X_45,B))),mult(rd(mult(X_45,ld(ld(X_161,X_45),X_45)),X_45),B)) )],[refute_0_1288,refute_0_1291]) ).

cnf(refute_0_1293,plain,
    mult(X_45,mult(ld(X_80,X_45),ld(X_45,B))) = mult(rd(mult(X_45,ld(X_80,X_45)),X_45),B),
    inference(subst,[],[refute_0_11:[bind(X_46,$fot(ld(X_80,X_45)))]]) ).

cnf(refute_0_1294,plain,
    i(rd(X_80,X_45)) = rd(mult(X_45,ld(X_80,X_45)),X_45),
    inference(subst,[],[refute_0_85:[bind(A,$fot(X_80)),bind(X_74,$fot(X_45))]]) ).

cnf(refute_0_1295,plain,
    ( i(rd(X_80,X_45)) != rd(mult(X_45,ld(X_80,X_45)),X_45)
    | rd(mult(X_45,ld(X_80,X_45)),X_45) = i(rd(X_80,X_45)) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(i(rd(X_80,X_45)))),bind(Y,$fot(rd(mult(X_45,ld(X_80,X_45)),X_45)))]]) ).

cnf(refute_0_1296,plain,
    rd(mult(X_45,ld(X_80,X_45)),X_45) = i(rd(X_80,X_45)),
    inference(resolve,[$cnf( $equal(i(rd(X_80,X_45)),rd(mult(X_45,ld(X_80,X_45)),X_45)) )],[refute_0_1294,refute_0_1295]) ).

cnf(refute_0_1297,plain,
    ( mult(X_45,mult(ld(X_80,X_45),ld(X_45,B))) != mult(rd(mult(X_45,ld(X_80,X_45)),X_45),B)
    | rd(mult(X_45,ld(X_80,X_45)),X_45) != i(rd(X_80,X_45))
    | mult(X_45,mult(ld(X_80,X_45),ld(X_45,B))) = mult(i(rd(X_80,X_45)),B) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_45,mult(ld(X_80,X_45),ld(X_45,B))),mult(rd(mult(X_45,ld(X_80,X_45)),X_45),B)) ),[1,0],$fot(i(rd(X_80,X_45)))]]) ).

cnf(refute_0_1298,plain,
    ( mult(X_45,mult(ld(X_80,X_45),ld(X_45,B))) != mult(rd(mult(X_45,ld(X_80,X_45)),X_45),B)
    | mult(X_45,mult(ld(X_80,X_45),ld(X_45,B))) = mult(i(rd(X_80,X_45)),B) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_45,ld(X_80,X_45)),X_45),i(rd(X_80,X_45))) )],[refute_0_1296,refute_0_1297]) ).

cnf(refute_0_1299,plain,
    mult(X_45,mult(ld(X_80,X_45),ld(X_45,B))) = mult(i(rd(X_80,X_45)),B),
    inference(resolve,[$cnf( $equal(mult(X_45,mult(ld(X_80,X_45),ld(X_45,B))),mult(rd(mult(X_45,ld(X_80,X_45)),X_45),B)) )],[refute_0_1293,refute_0_1298]) ).

cnf(refute_0_1300,plain,
    mult(i(rd(X_80,X_45)),B) = i(ld(B,rd(X_80,X_45))),
    inference(subst,[],[refute_0_109:[bind(X_13,$fot(B)),bind(X_19,$fot(rd(X_80,X_45)))]]) ).

cnf(refute_0_1301,plain,
    ( mult(X_45,mult(ld(X_80,X_45),ld(X_45,B))) != mult(i(rd(X_80,X_45)),B)
    | mult(i(rd(X_80,X_45)),B) != i(ld(B,rd(X_80,X_45)))
    | mult(X_45,mult(ld(X_80,X_45),ld(X_45,B))) = i(ld(B,rd(X_80,X_45))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_45,mult(ld(X_80,X_45),ld(X_45,B))),i(ld(B,rd(X_80,X_45)))) ),[0],$fot(mult(i(rd(X_80,X_45)),B))]]) ).

cnf(refute_0_1302,plain,
    ( mult(X_45,mult(ld(X_80,X_45),ld(X_45,B))) != mult(i(rd(X_80,X_45)),B)
    | mult(X_45,mult(ld(X_80,X_45),ld(X_45,B))) = i(ld(B,rd(X_80,X_45))) ),
    inference(resolve,[$cnf( $equal(mult(i(rd(X_80,X_45)),B),i(ld(B,rd(X_80,X_45)))) )],[refute_0_1300,refute_0_1301]) ).

cnf(refute_0_1303,plain,
    mult(X_45,mult(ld(X_80,X_45),ld(X_45,B))) = i(ld(B,rd(X_80,X_45))),
    inference(resolve,[$cnf( $equal(mult(X_45,mult(ld(X_80,X_45),ld(X_45,B))),mult(i(rd(X_80,X_45)),B)) )],[refute_0_1299,refute_0_1302]) ).

cnf(refute_0_1304,plain,
    mult(X_45,mult(ld(ld(X_161,X_45),X_45),ld(X_45,B))) = i(ld(B,rd(ld(X_161,X_45),X_45))),
    inference(subst,[],[refute_0_1303:[bind(X_80,$fot(ld(X_161,X_45)))]]) ).

cnf(refute_0_1305,plain,
    ( mult(X_45,mult(ld(ld(X_161,X_45),X_45),ld(X_45,B))) != i(ld(B,rd(ld(X_161,X_45),X_45)))
    | mult(X_45,mult(ld(ld(X_161,X_45),X_45),ld(X_45,B))) != mult(rd(ld(i(X_161),X_45),X_45),B)
    | i(ld(B,rd(ld(X_161,X_45),X_45))) = mult(rd(ld(i(X_161),X_45),X_45),B) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_45,mult(ld(ld(X_161,X_45),X_45),ld(X_45,B))),mult(rd(ld(i(X_161),X_45),X_45),B)) ),[0],$fot(i(ld(B,rd(ld(X_161,X_45),X_45))))]]) ).

cnf(refute_0_1306,plain,
    ( mult(X_45,mult(ld(ld(X_161,X_45),X_45),ld(X_45,B))) != mult(rd(ld(i(X_161),X_45),X_45),B)
    | i(ld(B,rd(ld(X_161,X_45),X_45))) = mult(rd(ld(i(X_161),X_45),X_45),B) ),
    inference(resolve,[$cnf( $equal(mult(X_45,mult(ld(ld(X_161,X_45),X_45),ld(X_45,B))),i(ld(B,rd(ld(X_161,X_45),X_45)))) )],[refute_0_1304,refute_0_1305]) ).

cnf(refute_0_1307,plain,
    mult(i(ld(mult(X_45,X_161),X_45)),B) = i(ld(B,ld(mult(X_45,X_161),X_45))),
    inference(subst,[],[refute_0_109:[bind(X_13,$fot(B)),bind(X_19,$fot(ld(mult(X_45,X_161),X_45)))]]) ).

cnf(refute_0_1308,plain,
    rd(mult(X_48,mult(X_49,ld(X_48,B))),mult(X_48,ld(X_48,B))) = rd(mult(X_48,X_49),X_48),
    inference(subst,[],[refute_0_281:[bind(X_45,$fot(X_48)),bind(X_46,$fot(X_49)),bind(X_47,$fot(ld(X_48,B)))]]) ).

cnf(refute_0_1309,plain,
    mult(X_48,ld(X_48,B)) = B,
    inference(subst,[],[c01:[bind(A,$fot(X_48))]]) ).

cnf(refute_0_1310,plain,
    ( mult(X_48,ld(X_48,B)) != B
    | rd(mult(X_48,mult(X_49,ld(X_48,B))),mult(X_48,ld(X_48,B))) != rd(mult(X_48,X_49),X_48)
    | rd(mult(X_48,mult(X_49,ld(X_48,B))),B) = rd(mult(X_48,X_49),X_48) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_48,mult(X_49,ld(X_48,B))),mult(X_48,ld(X_48,B))),rd(mult(X_48,X_49),X_48)) ),[0,1],$fot(B)]]) ).

cnf(refute_0_1311,plain,
    ( rd(mult(X_48,mult(X_49,ld(X_48,B))),mult(X_48,ld(X_48,B))) != rd(mult(X_48,X_49),X_48)
    | rd(mult(X_48,mult(X_49,ld(X_48,B))),B) = rd(mult(X_48,X_49),X_48) ),
    inference(resolve,[$cnf( $equal(mult(X_48,ld(X_48,B)),B) )],[refute_0_1309,refute_0_1310]) ).

cnf(refute_0_1312,plain,
    rd(mult(X_48,mult(X_49,ld(X_48,B))),B) = rd(mult(X_48,X_49),X_48),
    inference(resolve,[$cnf( $equal(rd(mult(X_48,mult(X_49,ld(X_48,B))),mult(X_48,ld(X_48,B))),rd(mult(X_48,X_49),X_48)) )],[refute_0_1308,refute_0_1311]) ).

cnf(refute_0_1313,plain,
    rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B) = rd(mult(X_48,ld(ld(X_161,X_48),X_48)),X_48),
    inference(subst,[],[refute_0_1312:[bind(X_49,$fot(ld(ld(X_161,X_48),X_48)))]]) ).

cnf(refute_0_1314,plain,
    mult(X_48,ld(ld(X_161,X_48),X_48)) = ld(i(X_161),X_48),
    inference(subst,[],[refute_0_1066:[bind(A,$fot(X_48)),bind(X_86,$fot(X_161))]]) ).

cnf(refute_0_1315,plain,
    ( mult(X_48,ld(ld(X_161,X_48),X_48)) != ld(i(X_161),X_48)
    | rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B) != rd(mult(X_48,ld(ld(X_161,X_48),X_48)),X_48)
    | rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B) = rd(ld(i(X_161),X_48),X_48) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B),rd(mult(X_48,ld(ld(X_161,X_48),X_48)),X_48)) ),[1,0],$fot(ld(i(X_161),X_48))]]) ).

cnf(refute_0_1316,plain,
    ( rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B) != rd(mult(X_48,ld(ld(X_161,X_48),X_48)),X_48)
    | rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B) = rd(ld(i(X_161),X_48),X_48) ),
    inference(resolve,[$cnf( $equal(mult(X_48,ld(ld(X_161,X_48),X_48)),ld(i(X_161),X_48)) )],[refute_0_1314,refute_0_1315]) ).

cnf(refute_0_1317,plain,
    rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B) = rd(ld(i(X_161),X_48),X_48),
    inference(resolve,[$cnf( $equal(rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B),rd(mult(X_48,ld(ld(X_161,X_48),X_48)),X_48)) )],[refute_0_1313,refute_0_1316]) ).

cnf(refute_0_1318,plain,
    i(rd(ld(X_161,X_48),X_48)) = i(ld(mult(X_48,X_161),X_48)),
    inference(subst,[],[refute_0_1212:[bind(X_97,$fot(X_48)),bind(X_98,$fot(X_161))]]) ).

cnf(refute_0_1319,plain,
    ld(rd(ld(X_161,X_48),X_48),unit) = i(rd(ld(X_161,X_48),X_48)),
    inference(subst,[],[refute_0_55:[bind(X_4,$fot(rd(ld(X_161,X_48),X_48)))]]) ).

cnf(refute_0_1320,plain,
    ( i(rd(ld(X_161,X_48),X_48)) != i(ld(mult(X_48,X_161),X_48))
    | ld(rd(ld(X_161,X_48),X_48),unit) != i(rd(ld(X_161,X_48),X_48))
    | ld(rd(ld(X_161,X_48),X_48),unit) = i(ld(mult(X_48,X_161),X_48)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(ld(rd(ld(X_161,X_48),X_48),unit))),bind(Y,$fot(i(rd(ld(X_161,X_48),X_48)))),bind(Z,$fot(i(ld(mult(X_48,X_161),X_48))))]]) ).

cnf(refute_0_1321,plain,
    ( i(rd(ld(X_161,X_48),X_48)) != i(ld(mult(X_48,X_161),X_48))
    | ld(rd(ld(X_161,X_48),X_48),unit) = i(ld(mult(X_48,X_161),X_48)) ),
    inference(resolve,[$cnf( $equal(ld(rd(ld(X_161,X_48),X_48),unit),i(rd(ld(X_161,X_48),X_48))) )],[refute_0_1319,refute_0_1320]) ).

cnf(refute_0_1322,plain,
    ld(rd(ld(X_161,X_48),X_48),unit) = i(ld(mult(X_48,X_161),X_48)),
    inference(resolve,[$cnf( $equal(i(rd(ld(X_161,X_48),X_48)),i(ld(mult(X_48,X_161),X_48))) )],[refute_0_1318,refute_0_1321]) ).

cnf(refute_0_1323,plain,
    rd(X_48,X_48) = unit,
    inference(subst,[],[refute_0_327:[bind(X_5,$fot(X_48))]]) ).

cnf(refute_0_1324,plain,
    ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48)) = ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48)),
    introduced(tautology,[refl,[$fot(ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48)))]]) ).

cnf(refute_0_1325,plain,
    ( ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48)) != ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48))
    | rd(X_48,X_48) != unit
    | ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48)) = ld(rd(ld(X_161,X_48),X_48),unit) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48)),ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48))) ),[1,1],$fot(unit)]]) ).

cnf(refute_0_1326,plain,
    ( rd(X_48,X_48) != unit
    | ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48)) = ld(rd(ld(X_161,X_48),X_48),unit) ),
    inference(resolve,[$cnf( $equal(ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48)),ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48))) )],[refute_0_1324,refute_0_1325]) ).

cnf(refute_0_1327,plain,
    ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48)) = ld(rd(ld(X_161,X_48),X_48),unit),
    inference(resolve,[$cnf( $equal(rd(X_48,X_48),unit) )],[refute_0_1323,refute_0_1326]) ).

cnf(refute_0_1328,plain,
    ( ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48)) != ld(rd(ld(X_161,X_48),X_48),unit)
    | ld(rd(ld(X_161,X_48),X_48),unit) != i(ld(mult(X_48,X_161),X_48))
    | ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48)) = i(ld(mult(X_48,X_161),X_48)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48)))),bind(Y,$fot(ld(rd(ld(X_161,X_48),X_48),unit))),bind(Z,$fot(i(ld(mult(X_48,X_161),X_48))))]]) ).

cnf(refute_0_1329,plain,
    ( ld(rd(ld(X_161,X_48),X_48),unit) != i(ld(mult(X_48,X_161),X_48))
    | ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48)) = i(ld(mult(X_48,X_161),X_48)) ),
    inference(resolve,[$cnf( $equal(ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48)),ld(rd(ld(X_161,X_48),X_48),unit)) )],[refute_0_1327,refute_0_1328]) ).

cnf(refute_0_1330,plain,
    ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48)) = i(ld(mult(X_48,X_161),X_48)),
    inference(resolve,[$cnf( $equal(ld(rd(ld(X_161,X_48),X_48),unit),i(ld(mult(X_48,X_161),X_48))) )],[refute_0_1322,refute_0_1329]) ).

cnf(refute_0_1331,plain,
    ld(rd(rd(X_99,ld(A,X_99)),X_100),rd(X_99,X_100)) = rd(mult(X_100,ld(A,X_99)),X_100),
    inference(subst,[],[refute_0_321:[bind(A,$fot(X_99)),bind(X_48,$fot(X_100)),bind(X_49,$fot(ld(A,X_99)))]]) ).

cnf(refute_0_1332,plain,
    rd(X_99,ld(A,X_99)) = A,
    inference(subst,[],[refute_0_81:[bind(X_19,$fot(X_99))]]) ).

cnf(refute_0_1333,plain,
    ( ld(rd(rd(X_99,ld(A,X_99)),X_100),rd(X_99,X_100)) != rd(mult(X_100,ld(A,X_99)),X_100)
    | rd(X_99,ld(A,X_99)) != A
    | ld(rd(A,X_100),rd(X_99,X_100)) = rd(mult(X_100,ld(A,X_99)),X_100) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(rd(rd(X_99,ld(A,X_99)),X_100),rd(X_99,X_100)),rd(mult(X_100,ld(A,X_99)),X_100)) ),[0,0,0],$fot(A)]]) ).

cnf(refute_0_1334,plain,
    ( ld(rd(rd(X_99,ld(A,X_99)),X_100),rd(X_99,X_100)) != rd(mult(X_100,ld(A,X_99)),X_100)
    | ld(rd(A,X_100),rd(X_99,X_100)) = rd(mult(X_100,ld(A,X_99)),X_100) ),
    inference(resolve,[$cnf( $equal(rd(X_99,ld(A,X_99)),A) )],[refute_0_1332,refute_0_1333]) ).

cnf(refute_0_1335,plain,
    ld(rd(A,X_100),rd(X_99,X_100)) = rd(mult(X_100,ld(A,X_99)),X_100),
    inference(resolve,[$cnf( $equal(ld(rd(rd(X_99,ld(A,X_99)),X_100),rd(X_99,X_100)),rd(mult(X_100,ld(A,X_99)),X_100)) )],[refute_0_1331,refute_0_1334]) ).

cnf(refute_0_1336,plain,
    ( ld(rd(A,X_100),rd(X_99,X_100)) != rd(mult(X_100,ld(A,X_99)),X_100)
    | rd(mult(X_100,ld(A,X_99)),X_100) = ld(rd(A,X_100),rd(X_99,X_100)) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ld(rd(A,X_100),rd(X_99,X_100)))),bind(Y,$fot(rd(mult(X_100,ld(A,X_99)),X_100)))]]) ).

cnf(refute_0_1337,plain,
    rd(mult(X_100,ld(A,X_99)),X_100) = ld(rd(A,X_100),rd(X_99,X_100)),
    inference(resolve,[$cnf( $equal(ld(rd(A,X_100),rd(X_99,X_100)),rd(mult(X_100,ld(A,X_99)),X_100)) )],[refute_0_1335,refute_0_1336]) ).

cnf(refute_0_1338,plain,
    rd(mult(X_48,ld(ld(X_161,X_48),X_48)),X_48) = ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48)),
    inference(subst,[],[refute_0_1337:[bind(A,$fot(ld(X_161,X_48))),bind(X_100,$fot(X_48)),bind(X_99,$fot(X_48))]]) ).

cnf(refute_0_1339,plain,
    ( rd(mult(X_48,ld(ld(X_161,X_48),X_48)),X_48) != ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48))
    | rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B) != rd(mult(X_48,ld(ld(X_161,X_48),X_48)),X_48)
    | rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B) = ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B))),bind(Y,$fot(rd(mult(X_48,ld(ld(X_161,X_48),X_48)),X_48))),bind(Z,$fot(ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48))))]]) ).

cnf(refute_0_1340,plain,
    ( rd(mult(X_48,ld(ld(X_161,X_48),X_48)),X_48) != ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48))
    | rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B) = ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48)) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B),rd(mult(X_48,ld(ld(X_161,X_48),X_48)),X_48)) )],[refute_0_1313,refute_0_1339]) ).

cnf(refute_0_1341,plain,
    rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B) = ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48)),
    inference(resolve,[$cnf( $equal(rd(mult(X_48,ld(ld(X_161,X_48),X_48)),X_48),ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48))) )],[refute_0_1338,refute_0_1340]) ).

cnf(refute_0_1342,plain,
    ( ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48)) != i(ld(mult(X_48,X_161),X_48))
    | rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B) != ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48))
    | rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B) = i(ld(mult(X_48,X_161),X_48)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B))),bind(Y,$fot(ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48)))),bind(Z,$fot(i(ld(mult(X_48,X_161),X_48))))]]) ).

cnf(refute_0_1343,plain,
    ( ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48)) != i(ld(mult(X_48,X_161),X_48))
    | rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B) = i(ld(mult(X_48,X_161),X_48)) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B),ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48))) )],[refute_0_1341,refute_0_1342]) ).

cnf(refute_0_1344,plain,
    rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B) = i(ld(mult(X_48,X_161),X_48)),
    inference(resolve,[$cnf( $equal(ld(rd(ld(X_161,X_48),X_48),rd(X_48,X_48)),i(ld(mult(X_48,X_161),X_48))) )],[refute_0_1330,refute_0_1343]) ).

cnf(refute_0_1345,plain,
    ( rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B) != i(ld(mult(X_48,X_161),X_48))
    | rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B) != rd(ld(i(X_161),X_48),X_48)
    | i(ld(mult(X_48,X_161),X_48)) = rd(ld(i(X_161),X_48),X_48) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B),rd(ld(i(X_161),X_48),X_48)) ),[0],$fot(i(ld(mult(X_48,X_161),X_48)))]]) ).

cnf(refute_0_1346,plain,
    ( rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B) != rd(ld(i(X_161),X_48),X_48)
    | i(ld(mult(X_48,X_161),X_48)) = rd(ld(i(X_161),X_48),X_48) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B),i(ld(mult(X_48,X_161),X_48))) )],[refute_0_1344,refute_0_1345]) ).

cnf(refute_0_1347,plain,
    i(ld(mult(X_48,X_161),X_48)) = rd(ld(i(X_161),X_48),X_48),
    inference(resolve,[$cnf( $equal(rd(mult(X_48,mult(ld(ld(X_161,X_48),X_48),ld(X_48,B))),B),rd(ld(i(X_161),X_48),X_48)) )],[refute_0_1317,refute_0_1346]) ).

cnf(refute_0_1348,plain,
    ( i(ld(mult(X_48,X_161),X_48)) != rd(ld(i(X_161),X_48),X_48)
    | rd(ld(i(X_161),X_48),X_48) = i(ld(mult(X_48,X_161),X_48)) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(i(ld(mult(X_48,X_161),X_48)))),bind(Y,$fot(rd(ld(i(X_161),X_48),X_48)))]]) ).

cnf(refute_0_1349,plain,
    rd(ld(i(X_161),X_48),X_48) = i(ld(mult(X_48,X_161),X_48)),
    inference(resolve,[$cnf( $equal(i(ld(mult(X_48,X_161),X_48)),rd(ld(i(X_161),X_48),X_48)) )],[refute_0_1347,refute_0_1348]) ).

cnf(refute_0_1350,plain,
    rd(ld(i(X_161),X_45),X_45) = i(ld(mult(X_45,X_161),X_45)),
    inference(subst,[],[refute_0_1349:[bind(X_48,$fot(X_45))]]) ).

cnf(refute_0_1351,plain,
    mult(rd(ld(i(X_161),X_45),X_45),B) = mult(rd(ld(i(X_161),X_45),X_45),B),
    introduced(tautology,[refl,[$fot(mult(rd(ld(i(X_161),X_45),X_45),B))]]) ).

cnf(refute_0_1352,plain,
    ( mult(rd(ld(i(X_161),X_45),X_45),B) != mult(rd(ld(i(X_161),X_45),X_45),B)
    | rd(ld(i(X_161),X_45),X_45) != i(ld(mult(X_45,X_161),X_45))
    | mult(rd(ld(i(X_161),X_45),X_45),B) = mult(i(ld(mult(X_45,X_161),X_45)),B) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(ld(i(X_161),X_45),X_45),B),mult(rd(ld(i(X_161),X_45),X_45),B)) ),[1,0],$fot(i(ld(mult(X_45,X_161),X_45)))]]) ).

cnf(refute_0_1353,plain,
    ( rd(ld(i(X_161),X_45),X_45) != i(ld(mult(X_45,X_161),X_45))
    | mult(rd(ld(i(X_161),X_45),X_45),B) = mult(i(ld(mult(X_45,X_161),X_45)),B) ),
    inference(resolve,[$cnf( $equal(mult(rd(ld(i(X_161),X_45),X_45),B),mult(rd(ld(i(X_161),X_45),X_45),B)) )],[refute_0_1351,refute_0_1352]) ).

cnf(refute_0_1354,plain,
    mult(rd(ld(i(X_161),X_45),X_45),B) = mult(i(ld(mult(X_45,X_161),X_45)),B),
    inference(resolve,[$cnf( $equal(rd(ld(i(X_161),X_45),X_45),i(ld(mult(X_45,X_161),X_45))) )],[refute_0_1350,refute_0_1353]) ).

cnf(refute_0_1355,plain,
    ( mult(i(ld(mult(X_45,X_161),X_45)),B) != i(ld(B,ld(mult(X_45,X_161),X_45)))
    | mult(rd(ld(i(X_161),X_45),X_45),B) != mult(i(ld(mult(X_45,X_161),X_45)),B)
    | mult(rd(ld(i(X_161),X_45),X_45),B) = i(ld(B,ld(mult(X_45,X_161),X_45))) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(rd(ld(i(X_161),X_45),X_45),B))),bind(Y,$fot(mult(i(ld(mult(X_45,X_161),X_45)),B))),bind(Z,$fot(i(ld(B,ld(mult(X_45,X_161),X_45)))))]]) ).

cnf(refute_0_1356,plain,
    ( mult(i(ld(mult(X_45,X_161),X_45)),B) != i(ld(B,ld(mult(X_45,X_161),X_45)))
    | mult(rd(ld(i(X_161),X_45),X_45),B) = i(ld(B,ld(mult(X_45,X_161),X_45))) ),
    inference(resolve,[$cnf( $equal(mult(rd(ld(i(X_161),X_45),X_45),B),mult(i(ld(mult(X_45,X_161),X_45)),B)) )],[refute_0_1354,refute_0_1355]) ).

cnf(refute_0_1357,plain,
    mult(rd(ld(i(X_161),X_45),X_45),B) = i(ld(B,ld(mult(X_45,X_161),X_45))),
    inference(resolve,[$cnf( $equal(mult(i(ld(mult(X_45,X_161),X_45)),B),i(ld(B,ld(mult(X_45,X_161),X_45)))) )],[refute_0_1307,refute_0_1356]) ).

cnf(refute_0_1358,plain,
    ( i(ld(B,rd(ld(X_161,X_45),X_45))) != mult(rd(ld(i(X_161),X_45),X_45),B)
    | mult(rd(ld(i(X_161),X_45),X_45),B) != i(ld(B,ld(mult(X_45,X_161),X_45)))
    | i(ld(B,rd(ld(X_161,X_45),X_45))) = i(ld(B,ld(mult(X_45,X_161),X_45))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(i(ld(B,rd(ld(X_161,X_45),X_45))),i(ld(B,ld(mult(X_45,X_161),X_45)))) ),[0],$fot(mult(rd(ld(i(X_161),X_45),X_45),B))]]) ).

cnf(refute_0_1359,plain,
    ( i(ld(B,rd(ld(X_161,X_45),X_45))) != mult(rd(ld(i(X_161),X_45),X_45),B)
    | i(ld(B,rd(ld(X_161,X_45),X_45))) = i(ld(B,ld(mult(X_45,X_161),X_45))) ),
    inference(resolve,[$cnf( $equal(mult(rd(ld(i(X_161),X_45),X_45),B),i(ld(B,ld(mult(X_45,X_161),X_45)))) )],[refute_0_1357,refute_0_1358]) ).

cnf(refute_0_1360,plain,
    ( mult(X_45,mult(ld(ld(X_161,X_45),X_45),ld(X_45,B))) != mult(rd(ld(i(X_161),X_45),X_45),B)
    | i(ld(B,rd(ld(X_161,X_45),X_45))) = i(ld(B,ld(mult(X_45,X_161),X_45))) ),
    inference(resolve,[$cnf( $equal(i(ld(B,rd(ld(X_161,X_45),X_45))),mult(rd(ld(i(X_161),X_45),X_45),B)) )],[refute_0_1306,refute_0_1359]) ).

cnf(refute_0_1361,plain,
    i(ld(B,rd(ld(X_161,X_45),X_45))) = i(ld(B,ld(mult(X_45,X_161),X_45))),
    inference(resolve,[$cnf( $equal(mult(X_45,mult(ld(ld(X_161,X_45),X_45),ld(X_45,B))),mult(rd(ld(i(X_161),X_45),X_45),B)) )],[refute_0_1292,refute_0_1360]) ).

cnf(refute_0_1362,plain,
    i(ld(B,rd(ld(X_161,B),B))) = i(ld(B,ld(mult(B,X_161),B))),
    inference(subst,[],[refute_0_1361:[bind(X_45,$fot(B))]]) ).

cnf(refute_0_1363,plain,
    ( i(ld(B,ld(mult(B,X_161),B))) != ld(B,mult(mult(B,X_161),B))
    | i(ld(B,rd(ld(X_161,B),B))) != i(ld(B,ld(mult(B,X_161),B)))
    | i(ld(B,rd(ld(X_161,B),B))) = ld(B,mult(mult(B,X_161),B)) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(i(ld(B,rd(ld(X_161,B),B))))),bind(Y,$fot(i(ld(B,ld(mult(B,X_161),B))))),bind(Z,$fot(ld(B,mult(mult(B,X_161),B))))]]) ).

cnf(refute_0_1364,plain,
    ( i(ld(B,ld(mult(B,X_161),B))) != ld(B,mult(mult(B,X_161),B))
    | i(ld(B,rd(ld(X_161,B),B))) = ld(B,mult(mult(B,X_161),B)) ),
    inference(resolve,[$cnf( $equal(i(ld(B,rd(ld(X_161,B),B))),i(ld(B,ld(mult(B,X_161),B)))) )],[refute_0_1362,refute_0_1363]) ).

cnf(refute_0_1365,plain,
    i(ld(B,rd(ld(X_161,B),B))) = ld(B,mult(mult(B,X_161),B)),
    inference(resolve,[$cnf( $equal(i(ld(B,ld(mult(B,X_161),B))),ld(B,mult(mult(B,X_161),B))) )],[refute_0_1287,refute_0_1364]) ).

cnf(refute_0_1366,plain,
    ( i(ld(B,rd(ld(X_161,B),B))) != ld(B,mult(mult(B,X_161),B))
    | i(ld(B,rd(ld(X_161,B),B))) != ld(i(X_161),B)
    | ld(B,mult(mult(B,X_161),B)) = ld(i(X_161),B) ),
    introduced(tautology,[equality,[$cnf( $equal(i(ld(B,rd(ld(X_161,B),B))),ld(i(X_161),B)) ),[0],$fot(ld(B,mult(mult(B,X_161),B)))]]) ).

cnf(refute_0_1367,plain,
    ( i(ld(B,rd(ld(X_161,B),B))) != ld(i(X_161),B)
    | ld(B,mult(mult(B,X_161),B)) = ld(i(X_161),B) ),
    inference(resolve,[$cnf( $equal(i(ld(B,rd(ld(X_161,B),B))),ld(B,mult(mult(B,X_161),B))) )],[refute_0_1365,refute_0_1366]) ).

cnf(refute_0_1368,plain,
    ld(B,mult(mult(B,X_161),B)) = ld(i(X_161),B),
    inference(resolve,[$cnf( $equal(i(ld(B,rd(ld(X_161,B),B))),ld(i(X_161),B)) )],[refute_0_1286,refute_0_1367]) ).

cnf(refute_0_1369,plain,
    ld(X_53,mult(mult(X_53,X_204),X_53)) = ld(i(X_204),X_53),
    inference(subst,[],[refute_0_1368:[bind(B,$fot(X_53)),bind(X_161,$fot(X_204))]]) ).

cnf(refute_0_1370,plain,
    ( ld(X_53,mult(mult(X_53,X_204),X_53)) != ld(i(X_204),X_53)
    | mult(mult(X_51,rd(mult(mult(X_53,X_204),X_53),X_53)),X_53) != mult(mult(X_51,X_53),ld(X_53,mult(mult(X_53,X_204),X_53)))
    | mult(mult(X_51,rd(mult(mult(X_53,X_204),X_53),X_53)),X_53) = mult(mult(X_51,X_53),ld(i(X_204),X_53)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_51,rd(mult(mult(X_53,X_204),X_53),X_53)),X_53),mult(mult(X_51,X_53),ld(X_53,mult(mult(X_53,X_204),X_53)))) ),[1,1],$fot(ld(i(X_204),X_53))]]) ).

cnf(refute_0_1371,plain,
    ( mult(mult(X_51,rd(mult(mult(X_53,X_204),X_53),X_53)),X_53) != mult(mult(X_51,X_53),ld(X_53,mult(mult(X_53,X_204),X_53)))
    | mult(mult(X_51,rd(mult(mult(X_53,X_204),X_53),X_53)),X_53) = mult(mult(X_51,X_53),ld(i(X_204),X_53)) ),
    inference(resolve,[$cnf( $equal(ld(X_53,mult(mult(X_53,X_204),X_53)),ld(i(X_204),X_53)) )],[refute_0_1369,refute_0_1370]) ).

cnf(refute_0_1372,plain,
    mult(mult(X_51,rd(mult(mult(X_53,X_204),X_53),X_53)),X_53) = mult(mult(X_51,X_53),ld(i(X_204),X_53)),
    inference(resolve,[$cnf( $equal(mult(mult(X_51,rd(mult(mult(X_53,X_204),X_53),X_53)),X_53),mult(mult(X_51,X_53),ld(X_53,mult(mult(X_53,X_204),X_53)))) )],[refute_0_1270,refute_0_1371]) ).

cnf(refute_0_1373,plain,
    ( mult(mult(A,B),C) != mult(mult(A,C),ld(C,mult(B,C)))
    | mult(mult(A,C),ld(C,mult(B,C))) = mult(mult(A,B),C) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(mult(mult(A,B),C))),bind(Y,$fot(mult(mult(A,C),ld(C,mult(B,C)))))]]) ).

cnf(refute_0_1374,plain,
    mult(mult(A,C),ld(C,mult(B,C))) = mult(mult(A,B),C),
    inference(resolve,[$cnf( $equal(mult(mult(A,B),C),mult(mult(A,C),ld(C,mult(B,C)))) )],[c09,refute_0_1373]) ).

cnf(refute_0_1375,plain,
    mult(mult(X_51,X_53),ld(X_53,mult(mult(X_53,X_204),X_53))) = mult(mult(X_51,mult(X_53,X_204)),X_53),
    inference(subst,[],[refute_0_1374:[bind(A,$fot(X_51)),bind(B,$fot(mult(X_53,X_204))),bind(C,$fot(X_53))]]) ).

cnf(refute_0_1376,plain,
    ( mult(mult(X_51,X_53),ld(X_53,mult(mult(X_53,X_204),X_53))) != mult(mult(X_51,mult(X_53,X_204)),X_53)
    | mult(mult(X_51,rd(mult(mult(X_53,X_204),X_53),X_53)),X_53) != mult(mult(X_51,X_53),ld(X_53,mult(mult(X_53,X_204),X_53)))
    | mult(mult(X_51,rd(mult(mult(X_53,X_204),X_53),X_53)),X_53) = mult(mult(X_51,mult(X_53,X_204)),X_53) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(mult(mult(X_51,rd(mult(mult(X_53,X_204),X_53),X_53)),X_53))),bind(Y,$fot(mult(mult(X_51,X_53),ld(X_53,mult(mult(X_53,X_204),X_53))))),bind(Z,$fot(mult(mult(X_51,mult(X_53,X_204)),X_53)))]]) ).

cnf(refute_0_1377,plain,
    ( mult(mult(X_51,X_53),ld(X_53,mult(mult(X_53,X_204),X_53))) != mult(mult(X_51,mult(X_53,X_204)),X_53)
    | mult(mult(X_51,rd(mult(mult(X_53,X_204),X_53),X_53)),X_53) = mult(mult(X_51,mult(X_53,X_204)),X_53) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_51,rd(mult(mult(X_53,X_204),X_53),X_53)),X_53),mult(mult(X_51,X_53),ld(X_53,mult(mult(X_53,X_204),X_53)))) )],[refute_0_1270,refute_0_1376]) ).

cnf(refute_0_1378,plain,
    mult(mult(X_51,rd(mult(mult(X_53,X_204),X_53),X_53)),X_53) = mult(mult(X_51,mult(X_53,X_204)),X_53),
    inference(resolve,[$cnf( $equal(mult(mult(X_51,X_53),ld(X_53,mult(mult(X_53,X_204),X_53))),mult(mult(X_51,mult(X_53,X_204)),X_53)) )],[refute_0_1375,refute_0_1377]) ).

cnf(refute_0_1379,plain,
    ( mult(mult(X_51,rd(mult(mult(X_53,X_204),X_53),X_53)),X_53) != mult(mult(X_51,X_53),ld(i(X_204),X_53))
    | mult(mult(X_51,rd(mult(mult(X_53,X_204),X_53),X_53)),X_53) != mult(mult(X_51,mult(X_53,X_204)),X_53)
    | mult(mult(X_51,mult(X_53,X_204)),X_53) = mult(mult(X_51,X_53),ld(i(X_204),X_53)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_51,rd(mult(mult(X_53,X_204),X_53),X_53)),X_53),mult(mult(X_51,X_53),ld(i(X_204),X_53))) ),[0],$fot(mult(mult(X_51,mult(X_53,X_204)),X_53))]]) ).

cnf(refute_0_1380,plain,
    ( mult(mult(X_51,rd(mult(mult(X_53,X_204),X_53),X_53)),X_53) != mult(mult(X_51,X_53),ld(i(X_204),X_53))
    | mult(mult(X_51,mult(X_53,X_204)),X_53) = mult(mult(X_51,X_53),ld(i(X_204),X_53)) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_51,rd(mult(mult(X_53,X_204),X_53),X_53)),X_53),mult(mult(X_51,mult(X_53,X_204)),X_53)) )],[refute_0_1378,refute_0_1379]) ).

cnf(refute_0_1381,plain,
    mult(mult(X_51,mult(X_53,X_204)),X_53) = mult(mult(X_51,X_53),ld(i(X_204),X_53)),
    inference(resolve,[$cnf( $equal(mult(mult(X_51,rd(mult(mult(X_53,X_204),X_53),X_53)),X_53),mult(mult(X_51,X_53),ld(i(X_204),X_53))) )],[refute_0_1372,refute_0_1380]) ).

cnf(refute_0_1382,plain,
    ( mult(mult(X_51,mult(X_53,X_204)),X_53) != mult(mult(X_51,X_53),ld(i(X_204),X_53))
    | mult(mult(X_51,X_53),ld(i(X_204),X_53)) = mult(mult(X_51,mult(X_53,X_204)),X_53) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(mult(mult(X_51,mult(X_53,X_204)),X_53))),bind(Y,$fot(mult(mult(X_51,X_53),ld(i(X_204),X_53))))]]) ).

cnf(refute_0_1383,plain,
    mult(mult(X_51,X_53),ld(i(X_204),X_53)) = mult(mult(X_51,mult(X_53,X_204)),X_53),
    inference(resolve,[$cnf( $equal(mult(mult(X_51,mult(X_53,X_204)),X_53),mult(mult(X_51,X_53),ld(i(X_204),X_53))) )],[refute_0_1381,refute_0_1382]) ).

cnf(refute_0_1384,plain,
    mult(mult(X_90,X_91),ld(i(mult(X_91,X_365)),X_91)) = mult(mult(X_90,mult(X_91,mult(X_91,X_365))),X_91),
    inference(subst,[],[refute_0_1383:[bind(X_204,$fot(mult(X_91,X_365))),bind(X_51,$fot(X_90)),bind(X_53,$fot(X_91))]]) ).

cnf(refute_0_1385,plain,
    ( i(ld(X_91,rd(rd(i(mult(X_91,X_365)),X_91),X_90))) != mult(mult(X_90,X_91),ld(i(mult(X_91,X_365)),X_91))
    | mult(mult(X_90,X_91),ld(i(mult(X_91,X_365)),X_91)) != mult(mult(X_90,mult(X_91,mult(X_91,X_365))),X_91)
    | i(ld(X_91,rd(rd(i(mult(X_91,X_365)),X_91),X_90))) = mult(mult(X_90,mult(X_91,mult(X_91,X_365))),X_91) ),
    inference(subst,[],[refute_0_62:[bind(X,$fot(i(ld(X_91,rd(rd(i(mult(X_91,X_365)),X_91),X_90))))),bind(Y,$fot(mult(mult(X_90,X_91),ld(i(mult(X_91,X_365)),X_91)))),bind(Z,$fot(mult(mult(X_90,mult(X_91,mult(X_91,X_365))),X_91)))]]) ).

cnf(refute_0_1386,plain,
    ( mult(mult(X_90,X_91),ld(i(mult(X_91,X_365)),X_91)) != mult(mult(X_90,mult(X_91,mult(X_91,X_365))),X_91)
    | i(ld(X_91,rd(rd(i(mult(X_91,X_365)),X_91),X_90))) = mult(mult(X_90,mult(X_91,mult(X_91,X_365))),X_91) ),
    inference(resolve,[$cnf( $equal(i(ld(X_91,rd(rd(i(mult(X_91,X_365)),X_91),X_90))),mult(mult(X_90,X_91),ld(i(mult(X_91,X_365)),X_91))) )],[refute_0_130,refute_0_1385]) ).

cnf(refute_0_1387,plain,
    i(ld(X_91,rd(rd(i(mult(X_91,X_365)),X_91),X_90))) = mult(mult(X_90,mult(X_91,mult(X_91,X_365))),X_91),
    inference(resolve,[$cnf( $equal(mult(mult(X_90,X_91),ld(i(mult(X_91,X_365)),X_91)),mult(mult(X_90,mult(X_91,mult(X_91,X_365))),X_91)) )],[refute_0_1384,refute_0_1386]) ).

cnf(refute_0_1388,plain,
    ( i(ld(X_91,rd(rd(i(mult(X_91,X_365)),X_91),X_90))) != mult(mult(X_90,X_91),mult(X_91,mult(X_365,X_91)))
    | i(ld(X_91,rd(rd(i(mult(X_91,X_365)),X_91),X_90))) != mult(mult(X_90,mult(X_91,mult(X_91,X_365))),X_91)
    | mult(mult(X_90,mult(X_91,mult(X_91,X_365))),X_91) = mult(mult(X_90,X_91),mult(X_91,mult(X_365,X_91))) ),
    introduced(tautology,[equality,[$cnf( $equal(i(ld(X_91,rd(rd(i(mult(X_91,X_365)),X_91),X_90))),mult(mult(X_90,X_91),mult(X_91,mult(X_365,X_91)))) ),[0],$fot(mult(mult(X_90,mult(X_91,mult(X_91,X_365))),X_91))]]) ).

cnf(refute_0_1389,plain,
    ( i(ld(X_91,rd(rd(i(mult(X_91,X_365)),X_91),X_90))) != mult(mult(X_90,X_91),mult(X_91,mult(X_365,X_91)))
    | mult(mult(X_90,mult(X_91,mult(X_91,X_365))),X_91) = mult(mult(X_90,X_91),mult(X_91,mult(X_365,X_91))) ),
    inference(resolve,[$cnf( $equal(i(ld(X_91,rd(rd(i(mult(X_91,X_365)),X_91),X_90))),mult(mult(X_90,mult(X_91,mult(X_91,X_365))),X_91)) )],[refute_0_1387,refute_0_1388]) ).

cnf(refute_0_1390,plain,
    mult(mult(X_90,mult(X_91,mult(X_91,X_365))),X_91) = mult(mult(X_90,X_91),mult(X_91,mult(X_365,X_91))),
    inference(resolve,[$cnf( $equal(i(ld(X_91,rd(rd(i(mult(X_91,X_365)),X_91),X_90))),mult(mult(X_90,X_91),mult(X_91,mult(X_365,X_91)))) )],[refute_0_1269,refute_0_1389]) ).

cnf(refute_0_1391,plain,
    mult(mult(a,mult(b,mult(b,c))),b) = mult(mult(a,b),mult(b,mult(c,b))),
    inference(subst,[],[refute_0_1390:[bind(X_365,$fot(c)),bind(X_90,$fot(a)),bind(X_91,$fot(b))]]) ).

cnf(refute_0_1392,plain,
    ( mult(mult(a,b),mult(b,mult(c,b))) != mult(mult(a,b),mult(b,mult(c,b)))
    | mult(mult(a,mult(b,mult(b,c))),b) != mult(mult(a,b),mult(b,mult(c,b)))
    | mult(mult(a,b),mult(b,mult(c,b))) = mult(mult(a,mult(b,mult(b,c))),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(a,b),mult(b,mult(c,b))),mult(mult(a,mult(b,mult(b,c))),b)) ),[1],$fot(mult(mult(a,b),mult(b,mult(c,b))))]]) ).

cnf(refute_0_1393,plain,
    ( mult(mult(a,b),mult(b,mult(c,b))) != mult(mult(a,b),mult(b,mult(c,b)))
    | mult(mult(a,b),mult(b,mult(c,b))) = mult(mult(a,mult(b,mult(b,c))),b) ),
    inference(resolve,[$cnf( $equal(mult(mult(a,mult(b,mult(b,c))),b),mult(mult(a,b),mult(b,mult(c,b)))) )],[refute_0_1391,refute_0_1392]) ).

cnf(refute_0_1394,plain,
    mult(mult(a,b),mult(b,mult(c,b))) != mult(mult(a,b),mult(b,mult(c,b))),
    inference(resolve,[$cnf( $equal(mult(mult(a,b),mult(b,mult(c,b))),mult(mult(a,mult(b,mult(b,c))),b)) )],[refute_0_1393,goals]) ).

cnf(refute_0_1395,plain,
    mult(mult(a,b),mult(b,mult(c,b))) = mult(mult(a,b),mult(b,mult(c,b))),
    introduced(tautology,[refl,[$fot(mult(mult(a,b),mult(b,mult(c,b))))]]) ).

cnf(refute_0_1396,plain,
    $false,
    inference(resolve,[$cnf( $equal(mult(mult(a,b),mult(b,mult(c,b))),mult(mult(a,b),mult(b,mult(c,b)))) )],[refute_0_1395,refute_0_1394]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : GRP697-1 : TPTP v8.1.0. Released v4.0.0.
% 0.14/0.14  % Command  : metis --show proof --show saturation %s
% 0.14/0.36  % Computer : n005.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Mon Jun 13 18:38:54 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 4.32/4.54  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.32/4.54  
% 4.32/4.54  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.54/4.74  
%------------------------------------------------------------------------------