%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP685-11 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 10:45:15 EDT 2022

% Result   : Unsatisfiable 0.68s 0.89s
% Output   : CNFRefutation 0.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   69
%            Number of leaves      :  141
% Syntax   : Number of clauses     :  512 ( 253 unt;   0 nHn; 258 RR)
%            Number of literals    :  890 ( 889 equ; 383 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  962 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(f01,axiom,
    ld(A,mult(A,A)) = A ).

cnf(f02,axiom,
    rd(mult(A,A),A) = A ).

cnf(f03,axiom,
    mult(A,ld(A,B)) = ld(A,mult(A,B)) ).

cnf(f04,axiom,
    mult(rd(A,B),B) = rd(mult(A,B),B) ).

cnf(f05,axiom,
    ld(ld(A,B),mult(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D) ).

cnf(f06,axiom,
    rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)) ).

cnf(f07,axiom,
    ld(A,mult(A,ld(B,B))) = rd(mult(rd(A,A),B),B) ).

cnf(goal,negated_conjecture,
    rd(mult(x6,rd(x7,x8)),rd(x7,x8)) != rd(mult(x6,x8),x8) ).

cnf(refute_0_0,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_1,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_2,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( mult(rd(A,B),B) != rd(mult(A,B),B)
    | rd(mult(A,B),B) = mult(rd(A,B),B) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(mult(rd(A,B),B))),bind(Y,$fot(rd(mult(A,B),B)))]]) ).

cnf(refute_0_4,plain,
    rd(mult(A,B),B) = mult(rd(A,B),B),
    inference(resolve,[$cnf( $equal(mult(rd(A,B),B),rd(mult(A,B),B)) )],[f04,refute_0_3]) ).

cnf(refute_0_5,plain,
    rd(mult(x6,rd(x7,x8)),rd(x7,x8)) = mult(rd(x6,rd(x7,x8)),rd(x7,x8)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(x6)),bind(B,$fot(rd(x7,x8)))]]) ).

cnf(refute_0_6,plain,
    ( mult(rd(x6,rd(x7,x8)),rd(x7,x8)) != rd(mult(x6,x8),x8)
    | rd(mult(x6,rd(x7,x8)),rd(x7,x8)) != mult(rd(x6,rd(x7,x8)),rd(x7,x8))
    | rd(mult(x6,rd(x7,x8)),rd(x7,x8)) = rd(mult(x6,x8),x8) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(x6,rd(x7,x8)),rd(x7,x8)),mult(rd(x6,rd(x7,x8)),rd(x7,x8))) ),[1],$fot(rd(mult(x6,x8),x8))]]) ).

cnf(refute_0_7,plain,
    ( mult(rd(x6,rd(x7,x8)),rd(x7,x8)) != rd(mult(x6,x8),x8)
    | rd(mult(x6,rd(x7,x8)),rd(x7,x8)) = rd(mult(x6,x8),x8) ),
    inference(resolve,[$cnf( $equal(rd(mult(x6,rd(x7,x8)),rd(x7,x8)),mult(rd(x6,rd(x7,x8)),rd(x7,x8))) )],[refute_0_5,refute_0_6]) ).

cnf(refute_0_8,plain,
    rd(mult(x6,x8),x8) = mult(rd(x6,x8),x8),
    inference(subst,[],[refute_0_4:[bind(A,$fot(x6)),bind(B,$fot(x8))]]) ).

cnf(refute_0_9,plain,
    ( mult(rd(x6,rd(x7,x8)),rd(x7,x8)) != mult(rd(x6,x8),x8)
    | rd(mult(x6,x8),x8) != mult(rd(x6,x8),x8)
    | mult(rd(x6,rd(x7,x8)),rd(x7,x8)) = rd(mult(x6,x8),x8) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(mult(rd(x6,rd(x7,x8)),rd(x7,x8)),rd(mult(x6,x8),x8)) ),[1],$fot(mult(rd(x6,x8),x8))]]) ).

cnf(refute_0_10,plain,
    ( mult(rd(x6,rd(x7,x8)),rd(x7,x8)) != mult(rd(x6,x8),x8)
    | mult(rd(x6,rd(x7,x8)),rd(x7,x8)) = rd(mult(x6,x8),x8) ),
    inference(resolve,[$cnf( $equal(rd(mult(x6,x8),x8),mult(rd(x6,x8),x8)) )],[refute_0_8,refute_0_9]) ).

cnf(refute_0_11,plain,
    ( mult(rd(x6,rd(x7,x8)),rd(x7,x8)) != mult(rd(x6,x8),x8)
    | rd(mult(x6,rd(x7,x8)),rd(x7,x8)) = rd(mult(x6,x8),x8) ),
    inference(resolve,[$cnf( $equal(mult(rd(x6,rd(x7,x8)),rd(x7,x8)),rd(mult(x6,x8),x8)) )],[refute_0_10,refute_0_7]) ).

cnf(refute_0_12,plain,
    mult(rd(x6,rd(x7,x8)),rd(x7,x8)) != mult(rd(x6,x8),x8),
    inference(resolve,[$cnf( $equal(rd(mult(x6,rd(x7,x8)),rd(x7,x8)),rd(mult(x6,x8),x8)) )],[refute_0_11,goal]) ).

cnf(refute_0_13,plain,
    rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(rd(mult(A,B),rd(C,D)),rd(C,D)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(mult(A,B))),bind(B,$fot(rd(C,D)))]]) ).

cnf(refute_0_14,plain,
    ( rd(mult(mult(A,B),rd(C,D)),rd(C,D)) != mult(A,rd(mult(B,D),D))
    | rd(mult(mult(A,B),rd(C,D)),rd(C,D)) != mult(rd(mult(A,B),rd(C,D)),rd(C,D))
    | mult(rd(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(A,B),rd(C,D)),rd(C,D)),mult(A,rd(mult(B,D),D))) ),[0],$fot(mult(rd(mult(A,B),rd(C,D)),rd(C,D)))]]) ).

cnf(refute_0_15,plain,
    ( rd(mult(mult(A,B),rd(C,D)),rd(C,D)) != mult(A,rd(mult(B,D),D))
    | mult(rd(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)) ),
    inference(resolve,[$cnf( $equal(rd(mult(mult(A,B),rd(C,D)),rd(C,D)),mult(rd(mult(A,B),rd(C,D)),rd(C,D))) )],[refute_0_13,refute_0_14]) ).

cnf(refute_0_16,plain,
    rd(mult(B,D),D) = mult(rd(B,D),D),
    inference(subst,[],[refute_0_4:[bind(A,$fot(B)),bind(B,$fot(D))]]) ).

cnf(refute_0_17,plain,
    mult(A,rd(mult(B,D),D)) = mult(A,rd(mult(B,D),D)),
    introduced(tautology,[refl,[$fot(mult(A,rd(mult(B,D),D)))]]) ).

cnf(refute_0_18,plain,
    ( mult(A,rd(mult(B,D),D)) != mult(A,rd(mult(B,D),D))
    | rd(mult(B,D),D) != mult(rd(B,D),D)
    | mult(A,rd(mult(B,D),D)) = mult(A,mult(rd(B,D),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(A,rd(mult(B,D),D)),mult(A,rd(mult(B,D),D))) ),[1,1],$fot(mult(rd(B,D),D))]]) ).

cnf(refute_0_19,plain,
    ( rd(mult(B,D),D) != mult(rd(B,D),D)
    | mult(A,rd(mult(B,D),D)) = mult(A,mult(rd(B,D),D)) ),
    inference(resolve,[$cnf( $equal(mult(A,rd(mult(B,D),D)),mult(A,rd(mult(B,D),D))) )],[refute_0_17,refute_0_18]) ).

cnf(refute_0_20,plain,
    mult(A,rd(mult(B,D),D)) = mult(A,mult(rd(B,D),D)),
    inference(resolve,[$cnf( $equal(rd(mult(B,D),D),mult(rd(B,D),D)) )],[refute_0_16,refute_0_19]) ).

cnf(refute_0_21,plain,
    ( mult(A,rd(mult(B,D),D)) != mult(A,mult(rd(B,D),D))
    | mult(rd(mult(A,B),rd(C,D)),rd(C,D)) != mult(A,rd(mult(B,D),D))
    | mult(rd(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,mult(rd(B,D),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(A,B),rd(C,D)),rd(C,D)),mult(A,rd(mult(B,D),D))) ),[1],$fot(mult(A,mult(rd(B,D),D)))]]) ).

cnf(refute_0_22,plain,
    ( mult(rd(mult(A,B),rd(C,D)),rd(C,D)) != mult(A,rd(mult(B,D),D))
    | mult(rd(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,mult(rd(B,D),D)) ),
    inference(resolve,[$cnf( $equal(mult(A,rd(mult(B,D),D)),mult(A,mult(rd(B,D),D))) )],[refute_0_20,refute_0_21]) ).

cnf(refute_0_23,plain,
    ( rd(mult(mult(A,B),rd(C,D)),rd(C,D)) != mult(A,rd(mult(B,D),D))
    | mult(rd(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,mult(rd(B,D),D)) ),
    inference(resolve,[$cnf( $equal(mult(rd(mult(A,B),rd(C,D)),rd(C,D)),mult(A,rd(mult(B,D),D))) )],[refute_0_15,refute_0_22]) ).

cnf(refute_0_24,plain,
    mult(rd(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,mult(rd(B,D),D)),
    inference(resolve,[$cnf( $equal(rd(mult(mult(A,B),rd(C,D)),rd(C,D)),mult(A,rd(mult(B,D),D))) )],[f06,refute_0_23]) ).

cnf(refute_0_25,plain,
    mult(rd(mult(ld(X_60,X_60),X_60),rd(X_61,X_62)),rd(X_61,X_62)) = mult(ld(X_60,X_60),mult(rd(X_60,X_62),X_62)),
    inference(subst,[],[refute_0_24:[bind(A,$fot(ld(X_60,X_60))),bind(B,$fot(X_60)),bind(C,$fot(X_61)),bind(D,$fot(X_62))]]) ).

cnf(refute_0_26,plain,
    rd(mult(A,A),A) = mult(rd(A,A),A),
    inference(subst,[],[refute_0_4:[bind(B,$fot(A))]]) ).

cnf(refute_0_27,plain,
    ( rd(mult(A,A),A) != A
    | rd(mult(A,A),A) != mult(rd(A,A),A)
    | mult(rd(A,A),A) = A ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(A,A),A),A) ),[0],$fot(mult(rd(A,A),A))]]) ).

cnf(refute_0_28,plain,
    ( rd(mult(A,A),A) != A
    | mult(rd(A,A),A) = A ),
    inference(resolve,[$cnf( $equal(rd(mult(A,A),A),mult(rd(A,A),A)) )],[refute_0_26,refute_0_27]) ).

cnf(refute_0_29,plain,
    mult(rd(A,A),A) = A,
    inference(resolve,[$cnf( $equal(rd(mult(A,A),A),A) )],[f02,refute_0_28]) ).

cnf(refute_0_30,plain,
    mult(rd(rd(X_3,X_3),X_3),X_3) = rd(mult(rd(X_3,X_3),X_3),X_3),
    inference(subst,[],[f04:[bind(A,$fot(rd(X_3,X_3))),bind(B,$fot(X_3))]]) ).

cnf(refute_0_31,plain,
    mult(rd(X_3,X_3),X_3) = X_3,
    inference(subst,[],[refute_0_29:[bind(A,$fot(X_3))]]) ).

cnf(refute_0_32,plain,
    ( mult(rd(X_3,X_3),X_3) != X_3
    | mult(rd(rd(X_3,X_3),X_3),X_3) != rd(mult(rd(X_3,X_3),X_3),X_3)
    | mult(rd(rd(X_3,X_3),X_3),X_3) = rd(X_3,X_3) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(X_3,X_3),X_3),X_3),rd(mult(rd(X_3,X_3),X_3),X_3)) ),[1,0],$fot(X_3)]]) ).

cnf(refute_0_33,plain,
    ( mult(rd(rd(X_3,X_3),X_3),X_3) != rd(mult(rd(X_3,X_3),X_3),X_3)
    | mult(rd(rd(X_3,X_3),X_3),X_3) = rd(X_3,X_3) ),
    inference(resolve,[$cnf( $equal(mult(rd(X_3,X_3),X_3),X_3) )],[refute_0_31,refute_0_32]) ).

cnf(refute_0_34,plain,
    mult(rd(rd(X_3,X_3),X_3),X_3) = rd(X_3,X_3),
    inference(resolve,[$cnf( $equal(mult(rd(rd(X_3,X_3),X_3),X_3),rd(mult(rd(X_3,X_3),X_3),X_3)) )],[refute_0_30,refute_0_33]) ).

cnf(refute_0_35,plain,
    ld(X_3,mult(X_3,X_3)) = X_3,
    inference(subst,[],[f01:[bind(A,$fot(X_3))]]) ).

cnf(refute_0_36,plain,
    mult(X_3,ld(X_3,X_3)) = ld(X_3,mult(X_3,X_3)),
    inference(subst,[],[f03:[bind(A,$fot(X_3)),bind(B,$fot(X_3))]]) ).

cnf(refute_0_37,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_38,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_37]) ).

cnf(refute_0_39,plain,
    ( ld(X_3,mult(X_3,X_3)) != X_3
    | mult(X_3,ld(X_3,X_3)) != ld(X_3,mult(X_3,X_3))
    | mult(X_3,ld(X_3,X_3)) = X_3 ),
    inference(subst,[],[refute_0_38:[bind(X,$fot(mult(X_3,ld(X_3,X_3)))),bind(Y,$fot(ld(X_3,mult(X_3,X_3)))),bind(Z,$fot(X_3))]]) ).

cnf(refute_0_40,plain,
    ( ld(X_3,mult(X_3,X_3)) != X_3
    | mult(X_3,ld(X_3,X_3)) = X_3 ),
    inference(resolve,[$cnf( $equal(mult(X_3,ld(X_3,X_3)),ld(X_3,mult(X_3,X_3))) )],[refute_0_36,refute_0_39]) ).

cnf(refute_0_41,plain,
    mult(X_3,ld(X_3,X_3)) = X_3,
    inference(resolve,[$cnf( $equal(ld(X_3,mult(X_3,X_3)),X_3) )],[refute_0_35,refute_0_40]) ).

cnf(refute_0_42,plain,
    ld(X_3,mult(X_3,ld(X_3,X_3))) = ld(X_3,mult(X_3,ld(X_3,X_3))),
    introduced(tautology,[refl,[$fot(ld(X_3,mult(X_3,ld(X_3,X_3))))]]) ).

cnf(refute_0_43,plain,
    ( ld(X_3,mult(X_3,ld(X_3,X_3))) != ld(X_3,mult(X_3,ld(X_3,X_3)))
    | mult(X_3,ld(X_3,X_3)) != X_3
    | ld(X_3,mult(X_3,ld(X_3,X_3))) = ld(X_3,X_3) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(X_3,mult(X_3,ld(X_3,X_3))),ld(X_3,mult(X_3,ld(X_3,X_3)))) ),[1,1],$fot(X_3)]]) ).

cnf(refute_0_44,plain,
    ( mult(X_3,ld(X_3,X_3)) != X_3
    | ld(X_3,mult(X_3,ld(X_3,X_3))) = ld(X_3,X_3) ),
    inference(resolve,[$cnf( $equal(ld(X_3,mult(X_3,ld(X_3,X_3))),ld(X_3,mult(X_3,ld(X_3,X_3)))) )],[refute_0_42,refute_0_43]) ).

cnf(refute_0_45,plain,
    ld(X_3,mult(X_3,ld(X_3,X_3))) = ld(X_3,X_3),
    inference(resolve,[$cnf( $equal(mult(X_3,ld(X_3,X_3)),X_3) )],[refute_0_41,refute_0_44]) ).

cnf(refute_0_46,plain,
    rd(mult(rd(A,A),B),B) = mult(rd(rd(A,A),B),B),
    inference(subst,[],[refute_0_4:[bind(A,$fot(rd(A,A)))]]) ).

cnf(refute_0_47,plain,
    ( ld(A,mult(A,ld(B,B))) != rd(mult(rd(A,A),B),B)
    | rd(mult(rd(A,A),B),B) != mult(rd(rd(A,A),B),B)
    | ld(A,mult(A,ld(B,B))) = mult(rd(rd(A,A),B),B) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(ld(A,mult(A,ld(B,B))),mult(rd(rd(A,A),B),B)) ),[0],$fot(rd(mult(rd(A,A),B),B))]]) ).

cnf(refute_0_48,plain,
    ( ld(A,mult(A,ld(B,B))) != rd(mult(rd(A,A),B),B)
    | ld(A,mult(A,ld(B,B))) = mult(rd(rd(A,A),B),B) ),
    inference(resolve,[$cnf( $equal(rd(mult(rd(A,A),B),B),mult(rd(rd(A,A),B),B)) )],[refute_0_46,refute_0_47]) ).

cnf(refute_0_49,plain,
    ld(A,mult(A,ld(B,B))) = mult(rd(rd(A,A),B),B),
    inference(resolve,[$cnf( $equal(ld(A,mult(A,ld(B,B))),rd(mult(rd(A,A),B),B)) )],[f07,refute_0_48]) ).

cnf(refute_0_50,plain,
    ( ld(A,mult(A,ld(B,B))) != mult(rd(rd(A,A),B),B)
    | mult(rd(rd(A,A),B),B) = ld(A,mult(A,ld(B,B))) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(ld(A,mult(A,ld(B,B))))),bind(Y,$fot(mult(rd(rd(A,A),B),B)))]]) ).

cnf(refute_0_51,plain,
    mult(rd(rd(A,A),B),B) = ld(A,mult(A,ld(B,B))),
    inference(resolve,[$cnf( $equal(ld(A,mult(A,ld(B,B))),mult(rd(rd(A,A),B),B)) )],[refute_0_49,refute_0_50]) ).

cnf(refute_0_52,plain,
    mult(rd(rd(X_3,X_3),X_3),X_3) = ld(X_3,mult(X_3,ld(X_3,X_3))),
    inference(subst,[],[refute_0_51:[bind(A,$fot(X_3)),bind(B,$fot(X_3))]]) ).

cnf(refute_0_53,plain,
    ( ld(X_3,mult(X_3,ld(X_3,X_3))) != ld(X_3,X_3)
    | mult(rd(rd(X_3,X_3),X_3),X_3) != ld(X_3,mult(X_3,ld(X_3,X_3)))
    | mult(rd(rd(X_3,X_3),X_3),X_3) = ld(X_3,X_3) ),
    inference(subst,[],[refute_0_38:[bind(X,$fot(mult(rd(rd(X_3,X_3),X_3),X_3))),bind(Y,$fot(ld(X_3,mult(X_3,ld(X_3,X_3))))),bind(Z,$fot(ld(X_3,X_3)))]]) ).

cnf(refute_0_54,plain,
    ( ld(X_3,mult(X_3,ld(X_3,X_3))) != ld(X_3,X_3)
    | mult(rd(rd(X_3,X_3),X_3),X_3) = ld(X_3,X_3) ),
    inference(resolve,[$cnf( $equal(mult(rd(rd(X_3,X_3),X_3),X_3),ld(X_3,mult(X_3,ld(X_3,X_3)))) )],[refute_0_52,refute_0_53]) ).

cnf(refute_0_55,plain,
    mult(rd(rd(X_3,X_3),X_3),X_3) = ld(X_3,X_3),
    inference(resolve,[$cnf( $equal(ld(X_3,mult(X_3,ld(X_3,X_3))),ld(X_3,X_3)) )],[refute_0_45,refute_0_54]) ).

cnf(refute_0_56,plain,
    ( mult(rd(rd(X_3,X_3),X_3),X_3) != ld(X_3,X_3)
    | mult(rd(rd(X_3,X_3),X_3),X_3) != rd(X_3,X_3)
    | ld(X_3,X_3) = rd(X_3,X_3) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(X_3,X_3),X_3),X_3),rd(X_3,X_3)) ),[0],$fot(ld(X_3,X_3))]]) ).

cnf(refute_0_57,plain,
    ( mult(rd(rd(X_3,X_3),X_3),X_3) != rd(X_3,X_3)
    | ld(X_3,X_3) = rd(X_3,X_3) ),
    inference(resolve,[$cnf( $equal(mult(rd(rd(X_3,X_3),X_3),X_3),ld(X_3,X_3)) )],[refute_0_55,refute_0_56]) ).

cnf(refute_0_58,plain,
    ld(X_3,X_3) = rd(X_3,X_3),
    inference(resolve,[$cnf( $equal(mult(rd(rd(X_3,X_3),X_3),X_3),rd(X_3,X_3)) )],[refute_0_34,refute_0_57]) ).

cnf(refute_0_59,plain,
    ( ld(X_3,X_3) != rd(X_3,X_3)
    | rd(X_3,X_3) = ld(X_3,X_3) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(ld(X_3,X_3))),bind(Y,$fot(rd(X_3,X_3)))]]) ).

cnf(refute_0_60,plain,
    rd(X_3,X_3) = ld(X_3,X_3),
    inference(resolve,[$cnf( $equal(ld(X_3,X_3),rd(X_3,X_3)) )],[refute_0_58,refute_0_59]) ).

cnf(refute_0_61,plain,
    rd(A,A) = ld(A,A),
    inference(subst,[],[refute_0_60:[bind(X_3,$fot(A))]]) ).

cnf(refute_0_62,plain,
    mult(rd(A,A),A) = mult(rd(A,A),A),
    introduced(tautology,[refl,[$fot(mult(rd(A,A),A))]]) ).

cnf(refute_0_63,plain,
    ( mult(rd(A,A),A) != mult(rd(A,A),A)
    | rd(A,A) != ld(A,A)
    | mult(rd(A,A),A) = mult(ld(A,A),A) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(A,A),A),mult(rd(A,A),A)) ),[1,0],$fot(ld(A,A))]]) ).

cnf(refute_0_64,plain,
    ( rd(A,A) != ld(A,A)
    | mult(rd(A,A),A) = mult(ld(A,A),A) ),
    inference(resolve,[$cnf( $equal(mult(rd(A,A),A),mult(rd(A,A),A)) )],[refute_0_62,refute_0_63]) ).

cnf(refute_0_65,plain,
    mult(rd(A,A),A) = mult(ld(A,A),A),
    inference(resolve,[$cnf( $equal(rd(A,A),ld(A,A)) )],[refute_0_61,refute_0_64]) ).

cnf(refute_0_66,plain,
    ( mult(rd(A,A),A) != A
    | mult(rd(A,A),A) != mult(ld(A,A),A)
    | mult(ld(A,A),A) = A ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(A,A),A),A) ),[0],$fot(mult(ld(A,A),A))]]) ).

cnf(refute_0_67,plain,
    ( mult(rd(A,A),A) != A
    | mult(ld(A,A),A) = A ),
    inference(resolve,[$cnf( $equal(mult(rd(A,A),A),mult(ld(A,A),A)) )],[refute_0_65,refute_0_66]) ).

cnf(refute_0_68,plain,
    mult(ld(A,A),A) = A,
    inference(resolve,[$cnf( $equal(mult(rd(A,A),A),A) )],[refute_0_29,refute_0_67]) ).

cnf(refute_0_69,plain,
    mult(ld(X_60,X_60),X_60) = X_60,
    inference(subst,[],[refute_0_68:[bind(A,$fot(X_60))]]) ).

cnf(refute_0_70,plain,
    ( mult(ld(X_60,X_60),X_60) != X_60
    | mult(rd(mult(ld(X_60,X_60),X_60),rd(X_61,X_62)),rd(X_61,X_62)) != mult(ld(X_60,X_60),mult(rd(X_60,X_62),X_62))
    | mult(rd(X_60,rd(X_61,X_62)),rd(X_61,X_62)) = mult(ld(X_60,X_60),mult(rd(X_60,X_62),X_62)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(ld(X_60,X_60),X_60),rd(X_61,X_62)),rd(X_61,X_62)),mult(ld(X_60,X_60),mult(rd(X_60,X_62),X_62))) ),[0,0,0],$fot(X_60)]]) ).

cnf(refute_0_71,plain,
    ( mult(rd(mult(ld(X_60,X_60),X_60),rd(X_61,X_62)),rd(X_61,X_62)) != mult(ld(X_60,X_60),mult(rd(X_60,X_62),X_62))
    | mult(rd(X_60,rd(X_61,X_62)),rd(X_61,X_62)) = mult(ld(X_60,X_60),mult(rd(X_60,X_62),X_62)) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_60,X_60),X_60),X_60) )],[refute_0_69,refute_0_70]) ).

cnf(refute_0_72,plain,
    mult(rd(X_60,rd(X_61,X_62)),rd(X_61,X_62)) = mult(ld(X_60,X_60),mult(rd(X_60,X_62),X_62)),
    inference(resolve,[$cnf( $equal(mult(rd(mult(ld(X_60,X_60),X_60),rd(X_61,X_62)),rd(X_61,X_62)),mult(ld(X_60,X_60),mult(rd(X_60,X_62),X_62))) )],[refute_0_25,refute_0_71]) ).

cnf(refute_0_73,plain,
    mult(rd(x6,rd(x7,x8)),rd(x7,x8)) = mult(ld(x6,x6),mult(rd(x6,x8),x8)),
    inference(subst,[],[refute_0_72:[bind(X_60,$fot(x6)),bind(X_61,$fot(x7)),bind(X_62,$fot(x8))]]) ).

cnf(refute_0_74,plain,
    ( mult(ld(x6,x6),mult(rd(x6,x8),x8)) != mult(rd(x6,x8),x8)
    | mult(rd(x6,rd(x7,x8)),rd(x7,x8)) != mult(ld(x6,x6),mult(rd(x6,x8),x8))
    | mult(rd(x6,rd(x7,x8)),rd(x7,x8)) = mult(rd(x6,x8),x8) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(x6,rd(x7,x8)),rd(x7,x8)),mult(ld(x6,x6),mult(rd(x6,x8),x8))) ),[1],$fot(mult(rd(x6,x8),x8))]]) ).

cnf(refute_0_75,plain,
    ( mult(ld(x6,x6),mult(rd(x6,x8),x8)) != mult(rd(x6,x8),x8)
    | mult(rd(x6,rd(x7,x8)),rd(x7,x8)) = mult(rd(x6,x8),x8) ),
    inference(resolve,[$cnf( $equal(mult(rd(x6,rd(x7,x8)),rd(x7,x8)),mult(ld(x6,x6),mult(rd(x6,x8),x8))) )],[refute_0_73,refute_0_74]) ).

cnf(refute_0_76,plain,
    mult(ld(x6,x6),mult(rd(x6,x8),x8)) != mult(rd(x6,x8),x8),
    inference(resolve,[$cnf( $equal(mult(rd(x6,rd(x7,x8)),rd(x7,x8)),mult(rd(x6,x8),x8)) )],[refute_0_75,refute_0_12]) ).

cnf(refute_0_77,plain,
    mult(rd(mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)) = mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62)),
    inference(subst,[],[refute_0_24:[bind(A,$fot(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)))),bind(B,$fot(ld(X_30,X_30))),bind(C,$fot(X_61)),bind(D,$fot(X_62))]]) ).

cnf(refute_0_78,plain,
    mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,X_30)) = rd(mult(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,X_30)),
    inference(subst,[],[f04:[bind(A,$fot(rd(X_30,ld(X_30,X_30)))),bind(B,$fot(ld(X_30,X_30)))]]) ).

cnf(refute_0_79,plain,
    mult(rd(A,ld(A,X_7)),ld(A,X_7)) = rd(mult(A,ld(A,X_7)),ld(A,X_7)),
    inference(subst,[],[f04:[bind(B,$fot(ld(A,X_7)))]]) ).

cnf(refute_0_80,plain,
    mult(A,ld(A,X_7)) = ld(A,mult(A,X_7)),
    inference(subst,[],[f03:[bind(B,$fot(X_7))]]) ).

cnf(refute_0_81,plain,
    ( mult(A,ld(A,X_7)) != ld(A,mult(A,X_7))
    | mult(rd(A,ld(A,X_7)),ld(A,X_7)) != rd(mult(A,ld(A,X_7)),ld(A,X_7))
    | mult(rd(A,ld(A,X_7)),ld(A,X_7)) = rd(ld(A,mult(A,X_7)),ld(A,X_7)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(A,ld(A,X_7)),ld(A,X_7)),rd(mult(A,ld(A,X_7)),ld(A,X_7))) ),[1,0],$fot(ld(A,mult(A,X_7)))]]) ).

cnf(refute_0_82,plain,
    ( mult(rd(A,ld(A,X_7)),ld(A,X_7)) != rd(mult(A,ld(A,X_7)),ld(A,X_7))
    | mult(rd(A,ld(A,X_7)),ld(A,X_7)) = rd(ld(A,mult(A,X_7)),ld(A,X_7)) ),
    inference(resolve,[$cnf( $equal(mult(A,ld(A,X_7)),ld(A,mult(A,X_7))) )],[refute_0_80,refute_0_81]) ).

cnf(refute_0_83,plain,
    mult(rd(A,ld(A,X_7)),ld(A,X_7)) = rd(ld(A,mult(A,X_7)),ld(A,X_7)),
    inference(resolve,[$cnf( $equal(mult(rd(A,ld(A,X_7)),ld(A,X_7)),rd(mult(A,ld(A,X_7)),ld(A,X_7))) )],[refute_0_79,refute_0_82]) ).

cnf(refute_0_84,plain,
    mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) = rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),
    inference(subst,[],[refute_0_83:[bind(A,$fot(X_28)),bind(X_7,$fot(mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))))]]) ).

cnf(refute_0_85,plain,
    rd(rd(A,A),B) = rd(rd(A,A),B),
    introduced(tautology,[refl,[$fot(rd(rd(A,A),B))]]) ).

cnf(refute_0_86,plain,
    ( rd(A,A) != ld(A,A)
    | rd(rd(A,A),B) != rd(rd(A,A),B)
    | rd(rd(A,A),B) = rd(ld(A,A),B) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(rd(A,A),B),rd(rd(A,A),B)) ),[1,0],$fot(ld(A,A))]]) ).

cnf(refute_0_87,plain,
    ( rd(A,A) != ld(A,A)
    | rd(rd(A,A),B) = rd(ld(A,A),B) ),
    inference(resolve,[$cnf( $equal(rd(rd(A,A),B),rd(rd(A,A),B)) )],[refute_0_85,refute_0_86]) ).

cnf(refute_0_88,plain,
    rd(rd(A,A),B) = rd(ld(A,A),B),
    inference(resolve,[$cnf( $equal(rd(A,A),ld(A,A)) )],[refute_0_61,refute_0_87]) ).

cnf(refute_0_89,plain,
    mult(rd(rd(A,A),B),B) = mult(rd(rd(A,A),B),B),
    introduced(tautology,[refl,[$fot(mult(rd(rd(A,A),B),B))]]) ).

cnf(refute_0_90,plain,
    ( mult(rd(rd(A,A),B),B) != mult(rd(rd(A,A),B),B)
    | rd(rd(A,A),B) != rd(ld(A,A),B)
    | mult(rd(rd(A,A),B),B) = mult(rd(ld(A,A),B),B) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(A,A),B),B),mult(rd(rd(A,A),B),B)) ),[1,0],$fot(rd(ld(A,A),B))]]) ).

cnf(refute_0_91,plain,
    ( rd(rd(A,A),B) != rd(ld(A,A),B)
    | mult(rd(rd(A,A),B),B) = mult(rd(ld(A,A),B),B) ),
    inference(resolve,[$cnf( $equal(mult(rd(rd(A,A),B),B),mult(rd(rd(A,A),B),B)) )],[refute_0_89,refute_0_90]) ).

cnf(refute_0_92,plain,
    mult(rd(rd(A,A),B),B) = mult(rd(ld(A,A),B),B),
    inference(resolve,[$cnf( $equal(rd(rd(A,A),B),rd(ld(A,A),B)) )],[refute_0_88,refute_0_91]) ).

cnf(refute_0_93,plain,
    ( ld(A,mult(A,ld(B,B))) != mult(rd(rd(A,A),B),B)
    | mult(rd(rd(A,A),B),B) != mult(rd(ld(A,A),B),B)
    | ld(A,mult(A,ld(B,B))) = mult(rd(ld(A,A),B),B) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(ld(A,mult(A,ld(B,B))),mult(rd(ld(A,A),B),B)) ),[0],$fot(mult(rd(rd(A,A),B),B))]]) ).

cnf(refute_0_94,plain,
    ( ld(A,mult(A,ld(B,B))) != mult(rd(rd(A,A),B),B)
    | ld(A,mult(A,ld(B,B))) = mult(rd(ld(A,A),B),B) ),
    inference(resolve,[$cnf( $equal(mult(rd(rd(A,A),B),B),mult(rd(ld(A,A),B),B)) )],[refute_0_92,refute_0_93]) ).

cnf(refute_0_95,plain,
    ld(A,mult(A,ld(B,B))) = mult(rd(ld(A,A),B),B),
    inference(resolve,[$cnf( $equal(ld(A,mult(A,ld(B,B))),mult(rd(rd(A,A),B),B)) )],[refute_0_49,refute_0_94]) ).

cnf(refute_0_96,plain,
    ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) = mult(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),
    inference(subst,[],[refute_0_95:[bind(A,$fot(X_13)),bind(B,$fot(ld(X_13,X_13)))]]) ).

cnf(refute_0_97,plain,
    ld(ld(X_13,X_13),ld(X_13,X_13)) = rd(ld(X_13,X_13),ld(X_13,X_13)),
    inference(subst,[],[refute_0_58:[bind(X_3,$fot(ld(X_13,X_13)))]]) ).

cnf(refute_0_98,plain,
    ( ld(ld(X_13,X_13),ld(X_13,X_13)) != rd(ld(X_13,X_13),ld(X_13,X_13))
    | rd(ld(X_13,X_13),ld(X_13,X_13)) = ld(ld(X_13,X_13),ld(X_13,X_13)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(ld(ld(X_13,X_13),ld(X_13,X_13)))),bind(Y,$fot(rd(ld(X_13,X_13),ld(X_13,X_13))))]]) ).

cnf(refute_0_99,plain,
    rd(ld(X_13,X_13),ld(X_13,X_13)) = ld(ld(X_13,X_13),ld(X_13,X_13)),
    inference(resolve,[$cnf( $equal(ld(ld(X_13,X_13),ld(X_13,X_13)),rd(ld(X_13,X_13),ld(X_13,X_13))) )],[refute_0_97,refute_0_98]) ).

cnf(refute_0_100,plain,
    ( ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) != mult(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))
    | rd(ld(X_13,X_13),ld(X_13,X_13)) != ld(ld(X_13,X_13),ld(X_13,X_13))
    | ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) = mult(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))),mult(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))) ),[1,0],$fot(ld(ld(X_13,X_13),ld(X_13,X_13)))]]) ).

cnf(refute_0_101,plain,
    ( ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) != mult(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))
    | ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) = mult(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) ),
    inference(resolve,[$cnf( $equal(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(ld(X_13,X_13),ld(X_13,X_13))) )],[refute_0_99,refute_0_100]) ).

cnf(refute_0_102,plain,
    ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) = mult(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),
    inference(resolve,[$cnf( $equal(ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))),mult(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))) )],[refute_0_96,refute_0_101]) ).

cnf(refute_0_103,plain,
    mult(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) = ld(X_13,X_13),
    inference(subst,[],[refute_0_68:[bind(A,$fot(ld(X_13,X_13)))]]) ).

cnf(refute_0_104,plain,
    ( ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) != mult(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))
    | mult(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) != ld(X_13,X_13)
    | ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) = ld(X_13,X_13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))),ld(X_13,X_13)) ),[0],$fot(mult(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)))]]) ).

cnf(refute_0_105,plain,
    ( ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) != mult(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))
    | ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) = ld(X_13,X_13) ),
    inference(resolve,[$cnf( $equal(mult(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) )],[refute_0_103,refute_0_104]) ).

cnf(refute_0_106,plain,
    ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) = ld(X_13,X_13),
    inference(resolve,[$cnf( $equal(ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))),mult(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))) )],[refute_0_102,refute_0_105]) ).

cnf(refute_0_107,plain,
    ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))) = ld(X_28,X_28),
    inference(subst,[],[refute_0_106:[bind(X_13,$fot(X_28))]]) ).

cnf(refute_0_108,plain,
    ( ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))) != ld(X_28,X_28)
    | mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) != rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))))
    | mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) = rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))))) ),[1,1],$fot(ld(X_28,X_28))]]) ).

cnf(refute_0_109,plain,
    ( mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) != rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))))
    | mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) = rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28)) ),
    inference(resolve,[$cnf( $equal(ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))),ld(X_28,X_28)) )],[refute_0_107,refute_0_108]) ).

cnf(refute_0_110,plain,
    mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) = rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28)),
    inference(resolve,[$cnf( $equal(mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))))) )],[refute_0_84,refute_0_109]) ).

cnf(refute_0_111,plain,
    mult(rd(X_28,ld(X_28,X_28)),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) = mult(rd(X_28,ld(X_28,X_28)),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),
    introduced(tautology,[refl,[$fot(mult(rd(X_28,ld(X_28,X_28)),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))))]]) ).

cnf(refute_0_112,plain,
    ( ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))) != ld(X_28,X_28)
    | mult(rd(X_28,ld(X_28,X_28)),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) != mult(rd(X_28,ld(X_28,X_28)),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))))
    | mult(rd(X_28,ld(X_28,X_28)),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) = mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_28,ld(X_28,X_28)),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),mult(rd(X_28,ld(X_28,X_28)),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))))) ),[1,1],$fot(ld(X_28,X_28))]]) ).

cnf(refute_0_113,plain,
    ( ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))) != ld(X_28,X_28)
    | mult(rd(X_28,ld(X_28,X_28)),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) = mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)) ),
    inference(resolve,[$cnf( $equal(mult(rd(X_28,ld(X_28,X_28)),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),mult(rd(X_28,ld(X_28,X_28)),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))))) )],[refute_0_111,refute_0_112]) ).

cnf(refute_0_114,plain,
    mult(rd(X_28,ld(X_28,X_28)),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) = mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)),
    inference(resolve,[$cnf( $equal(ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))),ld(X_28,X_28)) )],[refute_0_107,refute_0_113]) ).

cnf(refute_0_115,plain,
    rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) = rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),
    introduced(tautology,[refl,[$fot(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))))]]) ).

cnf(refute_0_116,plain,
    ( ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))) != ld(X_28,X_28)
    | rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) != rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))))
    | rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) = rd(X_28,ld(X_28,X_28)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))))) ),[1,1],$fot(ld(X_28,X_28))]]) ).

cnf(refute_0_117,plain,
    ( ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))) != ld(X_28,X_28)
    | rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) = rd(X_28,ld(X_28,X_28)) ),
    inference(resolve,[$cnf( $equal(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))))) )],[refute_0_115,refute_0_116]) ).

cnf(refute_0_118,plain,
    rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) = rd(X_28,ld(X_28,X_28)),
    inference(resolve,[$cnf( $equal(ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))),ld(X_28,X_28)) )],[refute_0_107,refute_0_117]) ).

cnf(refute_0_119,plain,
    mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) = mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),
    introduced(tautology,[refl,[$fot(mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))))]]) ).

cnf(refute_0_120,plain,
    ( mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) != mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))))
    | rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) != rd(X_28,ld(X_28,X_28))
    | mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) = mult(rd(X_28,ld(X_28,X_28)),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))))) ),[1,0],$fot(rd(X_28,ld(X_28,X_28)))]]) ).

cnf(refute_0_121,plain,
    ( rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) != rd(X_28,ld(X_28,X_28))
    | mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) = mult(rd(X_28,ld(X_28,X_28)),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) ),
    inference(resolve,[$cnf( $equal(mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))))) )],[refute_0_119,refute_0_120]) ).

cnf(refute_0_122,plain,
    mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) = mult(rd(X_28,ld(X_28,X_28)),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),
    inference(resolve,[$cnf( $equal(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),rd(X_28,ld(X_28,X_28))) )],[refute_0_118,refute_0_121]) ).

cnf(refute_0_123,plain,
    ( mult(rd(X_28,ld(X_28,X_28)),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) != mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28))
    | mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) != mult(rd(X_28,ld(X_28,X_28)),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))))
    | mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) = mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)) ),
    inference(subst,[],[refute_0_38:[bind(X,$fot(mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))))),bind(Y,$fot(mult(rd(X_28,ld(X_28,X_28)),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))))),bind(Z,$fot(mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28))))]]) ).

cnf(refute_0_124,plain,
    ( mult(rd(X_28,ld(X_28,X_28)),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) != mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28))
    | mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) = mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)) ),
    inference(resolve,[$cnf( $equal(mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),mult(rd(X_28,ld(X_28,X_28)),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28)))))) )],[refute_0_122,refute_0_123]) ).

cnf(refute_0_125,plain,
    mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) = mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)),
    inference(resolve,[$cnf( $equal(mult(rd(X_28,ld(X_28,X_28)),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28))) )],[refute_0_114,refute_0_124]) ).

cnf(refute_0_126,plain,
    ( mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) != mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28))
    | mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) != rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28))
    | mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)) = rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28))) ),[0],$fot(mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)))]]) ).

cnf(refute_0_127,plain,
    ( mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) != rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28))
    | mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)) = rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28)) ),
    inference(resolve,[$cnf( $equal(mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28))) )],[refute_0_125,refute_0_126]) ).

cnf(refute_0_128,plain,
    mult(A,ld(A,mult(A,ld(ld(A,A),ld(A,A))))) = ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))),
    inference(subst,[],[f03:[bind(B,$fot(mult(A,ld(ld(A,A),ld(A,A)))))]]) ).

cnf(refute_0_129,plain,
    ld(A,mult(A,ld(ld(A,A),ld(A,A)))) = ld(A,A),
    inference(subst,[],[refute_0_106:[bind(X_13,$fot(A))]]) ).

cnf(refute_0_130,plain,
    ( ld(A,mult(A,ld(ld(A,A),ld(A,A)))) != ld(A,A)
    | mult(A,ld(A,mult(A,ld(ld(A,A),ld(A,A))))) != ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))
    | mult(A,ld(A,A)) = ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(A,ld(A,mult(A,ld(ld(A,A),ld(A,A))))),ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))) ),[0,1],$fot(ld(A,A))]]) ).

cnf(refute_0_131,plain,
    ( mult(A,ld(A,mult(A,ld(ld(A,A),ld(A,A))))) != ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))
    | mult(A,ld(A,A)) = ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))) ),
    inference(resolve,[$cnf( $equal(ld(A,mult(A,ld(ld(A,A),ld(A,A)))),ld(A,A)) )],[refute_0_129,refute_0_130]) ).

cnf(refute_0_132,plain,
    mult(A,ld(A,A)) = ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))),
    inference(resolve,[$cnf( $equal(mult(A,ld(A,mult(A,ld(ld(A,A),ld(A,A))))),ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))) )],[refute_0_128,refute_0_131]) ).

cnf(refute_0_133,plain,
    mult(A,ld(A,A)) = ld(A,mult(A,A)),
    inference(subst,[],[f03:[bind(B,$fot(A))]]) ).

cnf(refute_0_134,plain,
    ( ld(A,mult(A,A)) != A
    | mult(A,ld(A,A)) != ld(A,mult(A,A))
    | mult(A,ld(A,A)) = A ),
    inference(subst,[],[refute_0_38:[bind(X,$fot(mult(A,ld(A,A)))),bind(Y,$fot(ld(A,mult(A,A)))),bind(Z,$fot(A))]]) ).

cnf(refute_0_135,plain,
    ( ld(A,mult(A,A)) != A
    | mult(A,ld(A,A)) = A ),
    inference(resolve,[$cnf( $equal(mult(A,ld(A,A)),ld(A,mult(A,A))) )],[refute_0_133,refute_0_134]) ).

cnf(refute_0_136,plain,
    mult(A,ld(A,A)) = A,
    inference(resolve,[$cnf( $equal(ld(A,mult(A,A)),A) )],[f01,refute_0_135]) ).

cnf(refute_0_137,plain,
    ( mult(A,ld(A,A)) != A
    | mult(A,ld(A,A)) != ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))
    | A = ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(A,ld(A,A)),ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))) ),[0],$fot(A)]]) ).

cnf(refute_0_138,plain,
    ( mult(A,ld(A,A)) != ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))
    | A = ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))) ),
    inference(resolve,[$cnf( $equal(mult(A,ld(A,A)),A) )],[refute_0_136,refute_0_137]) ).

cnf(refute_0_139,plain,
    A = ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))),
    inference(resolve,[$cnf( $equal(mult(A,ld(A,A)),ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))) )],[refute_0_132,refute_0_138]) ).

cnf(refute_0_140,plain,
    ( A != ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))
    | ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))) = A ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(A)),bind(Y,$fot(ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))))]]) ).

cnf(refute_0_141,plain,
    ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))) = A,
    inference(resolve,[$cnf( $equal(A,ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))) )],[refute_0_139,refute_0_140]) ).

cnf(refute_0_142,plain,
    ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) = X_28,
    inference(subst,[],[refute_0_141:[bind(A,$fot(X_28))]]) ).

cnf(refute_0_143,plain,
    rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28)) = rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28)),
    introduced(tautology,[refl,[$fot(rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28)))]]) ).

cnf(refute_0_144,plain,
    ( ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) != X_28
    | rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28)) != rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28))
    | rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28)) = rd(X_28,ld(X_28,X_28)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28)),rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28))) ),[1,0],$fot(X_28)]]) ).

cnf(refute_0_145,plain,
    ( ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) != X_28
    | rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28)) = rd(X_28,ld(X_28,X_28)) ),
    inference(resolve,[$cnf( $equal(rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28)),rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28))) )],[refute_0_143,refute_0_144]) ).

cnf(refute_0_146,plain,
    rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28)) = rd(X_28,ld(X_28,X_28)),
    inference(resolve,[$cnf( $equal(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),X_28) )],[refute_0_142,refute_0_145]) ).

cnf(refute_0_147,plain,
    ( mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)) != rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28))
    | rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28)) != rd(X_28,ld(X_28,X_28))
    | mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)) = rd(X_28,ld(X_28,X_28)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)),rd(X_28,ld(X_28,X_28))) ),[0],$fot(rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28)))]]) ).

cnf(refute_0_148,plain,
    ( mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)) != rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28))
    | mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)) = rd(X_28,ld(X_28,X_28)) ),
    inference(resolve,[$cnf( $equal(rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28)),rd(X_28,ld(X_28,X_28))) )],[refute_0_146,refute_0_147]) ).

cnf(refute_0_149,plain,
    ( mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))) != rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28))
    | mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)) = rd(X_28,ld(X_28,X_28)) ),
    inference(resolve,[$cnf( $equal(mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)),rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28))) )],[refute_0_127,refute_0_148]) ).

cnf(refute_0_150,plain,
    mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)) = rd(X_28,ld(X_28,X_28)),
    inference(resolve,[$cnf( $equal(mult(rd(X_28,ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),rd(ld(X_28,mult(X_28,mult(X_28,ld(ld(X_28,X_28),ld(X_28,X_28))))),ld(X_28,X_28))) )],[refute_0_110,refute_0_149]) ).

cnf(refute_0_151,plain,
    mult(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)) = rd(X_30,ld(X_30,X_30)),
    inference(subst,[],[refute_0_150:[bind(X_28,$fot(X_30))]]) ).

cnf(refute_0_152,plain,
    ( mult(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)) != rd(X_30,ld(X_30,X_30))
    | mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,X_30)) != rd(mult(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,X_30))
    | mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,X_30)) = rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,X_30)),rd(mult(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,X_30))) ),[1,0],$fot(rd(X_30,ld(X_30,X_30)))]]) ).

cnf(refute_0_153,plain,
    ( mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,X_30)) != rd(mult(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,X_30))
    | mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,X_30)) = rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)) ),
    inference(resolve,[$cnf( $equal(mult(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_30,ld(X_30,X_30))) )],[refute_0_151,refute_0_152]) ).

cnf(refute_0_154,plain,
    mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,X_30)) = rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),
    inference(resolve,[$cnf( $equal(mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,X_30)),rd(mult(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,X_30))) )],[refute_0_78,refute_0_153]) ).

cnf(refute_0_155,plain,
    ( mult(rd(mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)) != mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62))
    | mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,X_30)) != rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30))
    | mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)) = mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)),mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62))) ),[0,0,0],$fot(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)))]]) ).

cnf(refute_0_156,plain,
    ( mult(rd(mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)) != mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62))
    | mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)) = mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62)) ),
    inference(resolve,[$cnf( $equal(mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,X_30)),rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30))) )],[refute_0_154,refute_0_155]) ).

cnf(refute_0_157,plain,
    mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)) = mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62)),
    inference(resolve,[$cnf( $equal(mult(rd(mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)),mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62))) )],[refute_0_77,refute_0_156]) ).

cnf(refute_0_158,plain,
    ( ld(A,mult(A,ld(B,B))) != mult(rd(ld(A,A),B),B)
    | mult(rd(ld(A,A),B),B) = ld(A,mult(A,ld(B,B))) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(ld(A,mult(A,ld(B,B))))),bind(Y,$fot(mult(rd(ld(A,A),B),B)))]]) ).

cnf(refute_0_159,plain,
    mult(rd(ld(A,A),B),B) = ld(A,mult(A,ld(B,B))),
    inference(resolve,[$cnf( $equal(ld(A,mult(A,ld(B,B))),mult(rd(ld(A,A),B),B)) )],[refute_0_95,refute_0_158]) ).

cnf(refute_0_160,plain,
    mult(rd(ld(X_30,X_30),X_62),X_62) = ld(X_30,mult(X_30,ld(X_62,X_62))),
    inference(subst,[],[refute_0_159:[bind(A,$fot(X_30)),bind(B,$fot(X_62))]]) ).

cnf(refute_0_161,plain,
    mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62)) = mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62)),
    introduced(tautology,[refl,[$fot(mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62)))]]) ).

cnf(refute_0_162,plain,
    ( mult(rd(ld(X_30,X_30),X_62),X_62) != ld(X_30,mult(X_30,ld(X_62,X_62)))
    | mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62)) != mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62))
    | mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62)) = mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62)),mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62))) ),[1,1],$fot(ld(X_30,mult(X_30,ld(X_62,X_62))))]]) ).

cnf(refute_0_163,plain,
    ( mult(rd(ld(X_30,X_30),X_62),X_62) != ld(X_30,mult(X_30,ld(X_62,X_62)))
    | mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62)) = mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))) ),
    inference(resolve,[$cnf( $equal(mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62)),mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62))) )],[refute_0_161,refute_0_162]) ).

cnf(refute_0_164,plain,
    mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62)) = mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))),
    inference(resolve,[$cnf( $equal(mult(rd(ld(X_30,X_30),X_62),X_62),ld(X_30,mult(X_30,ld(X_62,X_62)))) )],[refute_0_160,refute_0_163]) ).

cnf(refute_0_165,plain,
    ( mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62)) != mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62))))
    | mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)) != mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62))
    | mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)) = mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)),mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62))) ),[1],$fot(mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))))]]) ).

cnf(refute_0_166,plain,
    ( mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)) != mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62))
    | mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)) = mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))) ),
    inference(resolve,[$cnf( $equal(mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62)),mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62))))) )],[refute_0_164,refute_0_165]) ).

cnf(refute_0_167,plain,
    mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)) = mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))),
    inference(resolve,[$cnf( $equal(mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)),mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),mult(rd(ld(X_30,X_30),X_62),X_62))) )],[refute_0_157,refute_0_166]) ).

cnf(refute_0_168,plain,
    mult(ld(X_28,X_28),X_28) = X_28,
    inference(subst,[],[refute_0_68:[bind(A,$fot(X_28))]]) ).

cnf(refute_0_169,plain,
    rd(X_28,X_28) = ld(X_28,X_28),
    inference(subst,[],[refute_0_60:[bind(X_3,$fot(X_28))]]) ).

cnf(refute_0_170,plain,
    mult(rd(X_28,X_28),X_28) = mult(rd(X_28,X_28),X_28),
    introduced(tautology,[refl,[$fot(mult(rd(X_28,X_28),X_28))]]) ).

cnf(refute_0_171,plain,
    ( mult(rd(X_28,X_28),X_28) != mult(rd(X_28,X_28),X_28)
    | rd(X_28,X_28) != ld(X_28,X_28)
    | mult(rd(X_28,X_28),X_28) = mult(ld(X_28,X_28),X_28) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_28,X_28),X_28),mult(rd(X_28,X_28),X_28)) ),[1,0],$fot(ld(X_28,X_28))]]) ).

cnf(refute_0_172,plain,
    ( rd(X_28,X_28) != ld(X_28,X_28)
    | mult(rd(X_28,X_28),X_28) = mult(ld(X_28,X_28),X_28) ),
    inference(resolve,[$cnf( $equal(mult(rd(X_28,X_28),X_28),mult(rd(X_28,X_28),X_28)) )],[refute_0_170,refute_0_171]) ).

cnf(refute_0_173,plain,
    mult(rd(X_28,X_28),X_28) = mult(ld(X_28,X_28),X_28),
    inference(resolve,[$cnf( $equal(rd(X_28,X_28),ld(X_28,X_28)) )],[refute_0_169,refute_0_172]) ).

cnf(refute_0_174,plain,
    ( mult(ld(X_28,X_28),X_28) != X_28
    | mult(rd(X_28,X_28),X_28) != mult(ld(X_28,X_28),X_28)
    | mult(rd(X_28,X_28),X_28) = X_28 ),
    inference(subst,[],[refute_0_38:[bind(X,$fot(mult(rd(X_28,X_28),X_28))),bind(Y,$fot(mult(ld(X_28,X_28),X_28))),bind(Z,$fot(X_28))]]) ).

cnf(refute_0_175,plain,
    ( mult(ld(X_28,X_28),X_28) != X_28
    | mult(rd(X_28,X_28),X_28) = X_28 ),
    inference(resolve,[$cnf( $equal(mult(rd(X_28,X_28),X_28),mult(ld(X_28,X_28),X_28)) )],[refute_0_173,refute_0_174]) ).

cnf(refute_0_176,plain,
    mult(rd(X_28,X_28),X_28) = X_28,
    inference(resolve,[$cnf( $equal(mult(ld(X_28,X_28),X_28),X_28) )],[refute_0_168,refute_0_175]) ).

cnf(refute_0_177,plain,
    mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28)) = mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28)),
    introduced(tautology,[refl,[$fot(mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28)))]]) ).

cnf(refute_0_178,plain,
    ( mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28)) != mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28))
    | mult(rd(X_28,X_28),X_28) != X_28
    | mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28)) = mult(ld(X_28,X_28),X_28) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28)),mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28))) ),[1,1],$fot(X_28)]]) ).

cnf(refute_0_179,plain,
    ( mult(rd(X_28,X_28),X_28) != X_28
    | mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28)) = mult(ld(X_28,X_28),X_28) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28)),mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28))) )],[refute_0_177,refute_0_178]) ).

cnf(refute_0_180,plain,
    mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28)) = mult(ld(X_28,X_28),X_28),
    inference(resolve,[$cnf( $equal(mult(rd(X_28,X_28),X_28),X_28) )],[refute_0_176,refute_0_179]) ).

cnf(refute_0_181,plain,
    ( mult(ld(X_28,X_28),X_28) != X_28
    | mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28)) != mult(ld(X_28,X_28),X_28)
    | mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28)) = X_28 ),
    inference(subst,[],[refute_0_38:[bind(X,$fot(mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28)))),bind(Y,$fot(mult(ld(X_28,X_28),X_28))),bind(Z,$fot(X_28))]]) ).

cnf(refute_0_182,plain,
    ( mult(ld(X_28,X_28),X_28) != X_28
    | mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28)) = X_28 ),
    inference(resolve,[$cnf( $equal(mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28)),mult(ld(X_28,X_28),X_28)) )],[refute_0_180,refute_0_181]) ).

cnf(refute_0_183,plain,
    mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28)) = X_28,
    inference(resolve,[$cnf( $equal(mult(ld(X_28,X_28),X_28),X_28) )],[refute_0_168,refute_0_182]) ).

cnf(refute_0_184,plain,
    mult(rd(mult(X_59,X_60),rd(X_62,X_62)),rd(X_62,X_62)) = mult(X_59,mult(rd(X_60,X_62),X_62)),
    inference(subst,[],[refute_0_24:[bind(A,$fot(X_59)),bind(B,$fot(X_60)),bind(C,$fot(X_62)),bind(D,$fot(X_62))]]) ).

cnf(refute_0_185,plain,
    ld(X_62,X_62) = rd(X_62,X_62),
    inference(subst,[],[refute_0_58:[bind(X_3,$fot(X_62))]]) ).

cnf(refute_0_186,plain,
    ( ld(X_62,X_62) != rd(X_62,X_62)
    | rd(X_62,X_62) = ld(X_62,X_62) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(ld(X_62,X_62))),bind(Y,$fot(rd(X_62,X_62)))]]) ).

cnf(refute_0_187,plain,
    rd(X_62,X_62) = ld(X_62,X_62),
    inference(resolve,[$cnf( $equal(ld(X_62,X_62),rd(X_62,X_62)) )],[refute_0_185,refute_0_186]) ).

cnf(refute_0_188,plain,
    ( mult(rd(mult(X_59,X_60),rd(X_62,X_62)),rd(X_62,X_62)) != mult(X_59,mult(rd(X_60,X_62),X_62))
    | rd(X_62,X_62) != ld(X_62,X_62)
    | mult(rd(mult(X_59,X_60),rd(X_62,X_62)),ld(X_62,X_62)) = mult(X_59,mult(rd(X_60,X_62),X_62)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_59,X_60),rd(X_62,X_62)),rd(X_62,X_62)),mult(X_59,mult(rd(X_60,X_62),X_62))) ),[0,1],$fot(ld(X_62,X_62))]]) ).

cnf(refute_0_189,plain,
    ( mult(rd(mult(X_59,X_60),rd(X_62,X_62)),rd(X_62,X_62)) != mult(X_59,mult(rd(X_60,X_62),X_62))
    | mult(rd(mult(X_59,X_60),rd(X_62,X_62)),ld(X_62,X_62)) = mult(X_59,mult(rd(X_60,X_62),X_62)) ),
    inference(resolve,[$cnf( $equal(rd(X_62,X_62),ld(X_62,X_62)) )],[refute_0_187,refute_0_188]) ).

cnf(refute_0_190,plain,
    mult(rd(mult(X_59,X_60),rd(X_62,X_62)),ld(X_62,X_62)) = mult(X_59,mult(rd(X_60,X_62),X_62)),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_59,X_60),rd(X_62,X_62)),rd(X_62,X_62)),mult(X_59,mult(rd(X_60,X_62),X_62))) )],[refute_0_184,refute_0_189]) ).

cnf(refute_0_191,plain,
    rd(mult(X_59,X_60),rd(X_62,X_62)) = rd(mult(X_59,X_60),rd(X_62,X_62)),
    introduced(tautology,[refl,[$fot(rd(mult(X_59,X_60),rd(X_62,X_62)))]]) ).

cnf(refute_0_192,plain,
    ( rd(X_62,X_62) != ld(X_62,X_62)
    | rd(mult(X_59,X_60),rd(X_62,X_62)) != rd(mult(X_59,X_60),rd(X_62,X_62))
    | rd(mult(X_59,X_60),rd(X_62,X_62)) = rd(mult(X_59,X_60),ld(X_62,X_62)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_59,X_60),rd(X_62,X_62)),rd(mult(X_59,X_60),rd(X_62,X_62))) ),[1,1],$fot(ld(X_62,X_62))]]) ).

cnf(refute_0_193,plain,
    ( rd(X_62,X_62) != ld(X_62,X_62)
    | rd(mult(X_59,X_60),rd(X_62,X_62)) = rd(mult(X_59,X_60),ld(X_62,X_62)) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_59,X_60),rd(X_62,X_62)),rd(mult(X_59,X_60),rd(X_62,X_62))) )],[refute_0_191,refute_0_192]) ).

cnf(refute_0_194,plain,
    rd(mult(X_59,X_60),rd(X_62,X_62)) = rd(mult(X_59,X_60),ld(X_62,X_62)),
    inference(resolve,[$cnf( $equal(rd(X_62,X_62),ld(X_62,X_62)) )],[refute_0_187,refute_0_193]) ).

cnf(refute_0_195,plain,
    mult(rd(mult(X_59,X_60),rd(X_62,X_62)),ld(X_62,X_62)) = mult(rd(mult(X_59,X_60),rd(X_62,X_62)),ld(X_62,X_62)),
    introduced(tautology,[refl,[$fot(mult(rd(mult(X_59,X_60),rd(X_62,X_62)),ld(X_62,X_62)))]]) ).

cnf(refute_0_196,plain,
    ( mult(rd(mult(X_59,X_60),rd(X_62,X_62)),ld(X_62,X_62)) != mult(rd(mult(X_59,X_60),rd(X_62,X_62)),ld(X_62,X_62))
    | rd(mult(X_59,X_60),rd(X_62,X_62)) != rd(mult(X_59,X_60),ld(X_62,X_62))
    | mult(rd(mult(X_59,X_60),rd(X_62,X_62)),ld(X_62,X_62)) = mult(rd(mult(X_59,X_60),ld(X_62,X_62)),ld(X_62,X_62)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_59,X_60),rd(X_62,X_62)),ld(X_62,X_62)),mult(rd(mult(X_59,X_60),rd(X_62,X_62)),ld(X_62,X_62))) ),[1,0],$fot(rd(mult(X_59,X_60),ld(X_62,X_62)))]]) ).

cnf(refute_0_197,plain,
    ( rd(mult(X_59,X_60),rd(X_62,X_62)) != rd(mult(X_59,X_60),ld(X_62,X_62))
    | mult(rd(mult(X_59,X_60),rd(X_62,X_62)),ld(X_62,X_62)) = mult(rd(mult(X_59,X_60),ld(X_62,X_62)),ld(X_62,X_62)) ),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_59,X_60),rd(X_62,X_62)),ld(X_62,X_62)),mult(rd(mult(X_59,X_60),rd(X_62,X_62)),ld(X_62,X_62))) )],[refute_0_195,refute_0_196]) ).

cnf(refute_0_198,plain,
    mult(rd(mult(X_59,X_60),rd(X_62,X_62)),ld(X_62,X_62)) = mult(rd(mult(X_59,X_60),ld(X_62,X_62)),ld(X_62,X_62)),
    inference(resolve,[$cnf( $equal(rd(mult(X_59,X_60),rd(X_62,X_62)),rd(mult(X_59,X_60),ld(X_62,X_62))) )],[refute_0_194,refute_0_197]) ).

cnf(refute_0_199,plain,
    ( mult(rd(mult(X_59,X_60),rd(X_62,X_62)),ld(X_62,X_62)) != mult(X_59,mult(rd(X_60,X_62),X_62))
    | mult(rd(mult(X_59,X_60),rd(X_62,X_62)),ld(X_62,X_62)) != mult(rd(mult(X_59,X_60),ld(X_62,X_62)),ld(X_62,X_62))
    | mult(rd(mult(X_59,X_60),ld(X_62,X_62)),ld(X_62,X_62)) = mult(X_59,mult(rd(X_60,X_62),X_62)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_59,X_60),rd(X_62,X_62)),ld(X_62,X_62)),mult(X_59,mult(rd(X_60,X_62),X_62))) ),[0],$fot(mult(rd(mult(X_59,X_60),ld(X_62,X_62)),ld(X_62,X_62)))]]) ).

cnf(refute_0_200,plain,
    ( mult(rd(mult(X_59,X_60),rd(X_62,X_62)),ld(X_62,X_62)) != mult(X_59,mult(rd(X_60,X_62),X_62))
    | mult(rd(mult(X_59,X_60),ld(X_62,X_62)),ld(X_62,X_62)) = mult(X_59,mult(rd(X_60,X_62),X_62)) ),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_59,X_60),rd(X_62,X_62)),ld(X_62,X_62)),mult(rd(mult(X_59,X_60),ld(X_62,X_62)),ld(X_62,X_62))) )],[refute_0_198,refute_0_199]) ).

cnf(refute_0_201,plain,
    mult(rd(mult(X_59,X_60),ld(X_62,X_62)),ld(X_62,X_62)) = mult(X_59,mult(rd(X_60,X_62),X_62)),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_59,X_60),rd(X_62,X_62)),ld(X_62,X_62)),mult(X_59,mult(rd(X_60,X_62),X_62))) )],[refute_0_190,refute_0_200]) ).

cnf(refute_0_202,plain,
    mult(rd(mult(ld(X_77,X_77),X_77),ld(X_78,X_78)),ld(X_78,X_78)) = mult(ld(X_77,X_77),mult(rd(X_77,X_78),X_78)),
    inference(subst,[],[refute_0_201:[bind(X_59,$fot(ld(X_77,X_77))),bind(X_60,$fot(X_77)),bind(X_62,$fot(X_78))]]) ).

cnf(refute_0_203,plain,
    mult(ld(X_77,X_77),X_77) = X_77,
    inference(subst,[],[refute_0_68:[bind(A,$fot(X_77))]]) ).

cnf(refute_0_204,plain,
    ( mult(ld(X_77,X_77),X_77) != X_77
    | mult(rd(mult(ld(X_77,X_77),X_77),ld(X_78,X_78)),ld(X_78,X_78)) != mult(ld(X_77,X_77),mult(rd(X_77,X_78),X_78))
    | mult(rd(X_77,ld(X_78,X_78)),ld(X_78,X_78)) = mult(ld(X_77,X_77),mult(rd(X_77,X_78),X_78)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(ld(X_77,X_77),X_77),ld(X_78,X_78)),ld(X_78,X_78)),mult(ld(X_77,X_77),mult(rd(X_77,X_78),X_78))) ),[0,0,0],$fot(X_77)]]) ).

cnf(refute_0_205,plain,
    ( mult(rd(mult(ld(X_77,X_77),X_77),ld(X_78,X_78)),ld(X_78,X_78)) != mult(ld(X_77,X_77),mult(rd(X_77,X_78),X_78))
    | mult(rd(X_77,ld(X_78,X_78)),ld(X_78,X_78)) = mult(ld(X_77,X_77),mult(rd(X_77,X_78),X_78)) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_77,X_77),X_77),X_77) )],[refute_0_203,refute_0_204]) ).

cnf(refute_0_206,plain,
    mult(rd(X_77,ld(X_78,X_78)),ld(X_78,X_78)) = mult(ld(X_77,X_77),mult(rd(X_77,X_78),X_78)),
    inference(resolve,[$cnf( $equal(mult(rd(mult(ld(X_77,X_77),X_77),ld(X_78,X_78)),ld(X_78,X_78)),mult(ld(X_77,X_77),mult(rd(X_77,X_78),X_78))) )],[refute_0_202,refute_0_205]) ).

cnf(refute_0_207,plain,
    mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)) = mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28)),
    inference(subst,[],[refute_0_206:[bind(X_77,$fot(X_28)),bind(X_78,$fot(X_28))]]) ).

cnf(refute_0_208,plain,
    ( mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28)) != X_28
    | mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)) != mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28))
    | mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)) = X_28 ),
    inference(subst,[],[refute_0_38:[bind(X,$fot(mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)))),bind(Y,$fot(mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28)))),bind(Z,$fot(X_28))]]) ).

cnf(refute_0_209,plain,
    ( mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28)) != X_28
    | mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)) = X_28 ),
    inference(resolve,[$cnf( $equal(mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)),mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28))) )],[refute_0_207,refute_0_208]) ).

cnf(refute_0_210,plain,
    mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)) = X_28,
    inference(resolve,[$cnf( $equal(mult(ld(X_28,X_28),mult(rd(X_28,X_28),X_28)),X_28) )],[refute_0_183,refute_0_209]) ).

cnf(refute_0_211,plain,
    ( mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)) != X_28
    | mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)) != rd(X_28,ld(X_28,X_28))
    | X_28 = rd(X_28,ld(X_28,X_28)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)),rd(X_28,ld(X_28,X_28))) ),[0],$fot(X_28)]]) ).

cnf(refute_0_212,plain,
    ( mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)) != rd(X_28,ld(X_28,X_28))
    | X_28 = rd(X_28,ld(X_28,X_28)) ),
    inference(resolve,[$cnf( $equal(mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)),X_28) )],[refute_0_210,refute_0_211]) ).

cnf(refute_0_213,plain,
    X_28 = rd(X_28,ld(X_28,X_28)),
    inference(resolve,[$cnf( $equal(mult(rd(X_28,ld(X_28,X_28)),ld(X_28,X_28)),rd(X_28,ld(X_28,X_28))) )],[refute_0_150,refute_0_212]) ).

cnf(refute_0_214,plain,
    ( X_28 != rd(X_28,ld(X_28,X_28))
    | rd(X_28,ld(X_28,X_28)) = X_28 ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(X_28)),bind(Y,$fot(rd(X_28,ld(X_28,X_28))))]]) ).

cnf(refute_0_215,plain,
    rd(X_28,ld(X_28,X_28)) = X_28,
    inference(resolve,[$cnf( $equal(X_28,rd(X_28,ld(X_28,X_28))) )],[refute_0_213,refute_0_214]) ).

cnf(refute_0_216,plain,
    rd(X_30,ld(X_30,X_30)) = X_30,
    inference(subst,[],[refute_0_215:[bind(X_28,$fot(X_30))]]) ).

cnf(refute_0_217,plain,
    rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)) = rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),
    introduced(tautology,[refl,[$fot(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)))]]) ).

cnf(refute_0_218,plain,
    ( rd(X_30,ld(X_30,X_30)) != X_30
    | rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)) != rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30))
    | rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)) = rd(X_30,ld(X_30,X_30)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30))) ),[1,0],$fot(X_30)]]) ).

cnf(refute_0_219,plain,
    ( rd(X_30,ld(X_30,X_30)) != X_30
    | rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)) = rd(X_30,ld(X_30,X_30)) ),
    inference(resolve,[$cnf( $equal(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30))) )],[refute_0_217,refute_0_218]) ).

cnf(refute_0_220,plain,
    rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)) = rd(X_30,ld(X_30,X_30)),
    inference(resolve,[$cnf( $equal(rd(X_30,ld(X_30,X_30)),X_30) )],[refute_0_216,refute_0_219]) ).

cnf(refute_0_221,plain,
    ( rd(X_30,ld(X_30,X_30)) != X_30
    | rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)) != rd(X_30,ld(X_30,X_30))
    | rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)) = X_30 ),
    inference(subst,[],[refute_0_38:[bind(X,$fot(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)))),bind(Y,$fot(rd(X_30,ld(X_30,X_30)))),bind(Z,$fot(X_30))]]) ).

cnf(refute_0_222,plain,
    ( rd(X_30,ld(X_30,X_30)) != X_30
    | rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)) = X_30 ),
    inference(resolve,[$cnf( $equal(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_30,ld(X_30,X_30))) )],[refute_0_220,refute_0_221]) ).

cnf(refute_0_223,plain,
    rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)) = X_30,
    inference(resolve,[$cnf( $equal(rd(X_30,ld(X_30,X_30)),X_30) )],[refute_0_216,refute_0_222]) ).

cnf(refute_0_224,plain,
    rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)) = rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),
    introduced(tautology,[refl,[$fot(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)))]]) ).

cnf(refute_0_225,plain,
    ( rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)) != X_30
    | rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)) != rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62))
    | rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)) = rd(X_30,rd(X_61,X_62)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62))) ),[1,0],$fot(X_30)]]) ).

cnf(refute_0_226,plain,
    ( rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)) != X_30
    | rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)) = rd(X_30,rd(X_61,X_62)) ),
    inference(resolve,[$cnf( $equal(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62))) )],[refute_0_224,refute_0_225]) ).

cnf(refute_0_227,plain,
    rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)) = rd(X_30,rd(X_61,X_62)),
    inference(resolve,[$cnf( $equal(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),X_30) )],[refute_0_223,refute_0_226]) ).

cnf(refute_0_228,plain,
    mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)) = mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)),
    introduced(tautology,[refl,[$fot(mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)))]]) ).

cnf(refute_0_229,plain,
    ( mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)) != mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62))
    | rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)) != rd(X_30,rd(X_61,X_62))
    | mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)) = mult(rd(X_30,rd(X_61,X_62)),rd(X_61,X_62)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)),mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62))) ),[1,0],$fot(rd(X_30,rd(X_61,X_62)))]]) ).

cnf(refute_0_230,plain,
    ( rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)) != rd(X_30,rd(X_61,X_62))
    | mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)) = mult(rd(X_30,rd(X_61,X_62)),rd(X_61,X_62)) ),
    inference(resolve,[$cnf( $equal(mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)),mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62))) )],[refute_0_228,refute_0_229]) ).

cnf(refute_0_231,plain,
    mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)) = mult(rd(X_30,rd(X_61,X_62)),rd(X_61,X_62)),
    inference(resolve,[$cnf( $equal(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_30,rd(X_61,X_62))) )],[refute_0_227,refute_0_230]) ).

cnf(refute_0_232,plain,
    ( mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)) != mult(rd(X_30,rd(X_61,X_62)),rd(X_61,X_62))
    | mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)) != mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62))))
    | mult(rd(X_30,rd(X_61,X_62)),rd(X_61,X_62)) = mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)),mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62))))) ),[0],$fot(mult(rd(X_30,rd(X_61,X_62)),rd(X_61,X_62)))]]) ).

cnf(refute_0_233,plain,
    ( mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)) != mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62))))
    | mult(rd(X_30,rd(X_61,X_62)),rd(X_61,X_62)) = mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))) ),
    inference(resolve,[$cnf( $equal(mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)),mult(rd(X_30,rd(X_61,X_62)),rd(X_61,X_62))) )],[refute_0_231,refute_0_232]) ).

cnf(refute_0_234,plain,
    ld(ld(X_47,X_46),mult(ld(X_47,X_46),mult(X_47,X_48))) = mult(ld(X_47,mult(X_47,X_47)),X_48),
    inference(subst,[],[f05:[bind(A,$fot(X_47)),bind(B,$fot(X_46)),bind(C,$fot(X_47)),bind(D,$fot(X_48))]]) ).

cnf(refute_0_235,plain,
    ld(X_47,mult(X_47,X_47)) = X_47,
    inference(subst,[],[f01:[bind(A,$fot(X_47))]]) ).

cnf(refute_0_236,plain,
    ( ld(X_47,mult(X_47,X_47)) != X_47
    | ld(ld(X_47,X_46),mult(ld(X_47,X_46),mult(X_47,X_48))) != mult(ld(X_47,mult(X_47,X_47)),X_48)
    | ld(ld(X_47,X_46),mult(ld(X_47,X_46),mult(X_47,X_48))) = mult(X_47,X_48) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_47,X_46),mult(ld(X_47,X_46),mult(X_47,X_48))),mult(ld(X_47,mult(X_47,X_47)),X_48)) ),[1,0],$fot(X_47)]]) ).

cnf(refute_0_237,plain,
    ( ld(ld(X_47,X_46),mult(ld(X_47,X_46),mult(X_47,X_48))) != mult(ld(X_47,mult(X_47,X_47)),X_48)
    | ld(ld(X_47,X_46),mult(ld(X_47,X_46),mult(X_47,X_48))) = mult(X_47,X_48) ),
    inference(resolve,[$cnf( $equal(ld(X_47,mult(X_47,X_47)),X_47) )],[refute_0_235,refute_0_236]) ).

cnf(refute_0_238,plain,
    ld(ld(X_47,X_46),mult(ld(X_47,X_46),mult(X_47,X_48))) = mult(X_47,X_48),
    inference(resolve,[$cnf( $equal(ld(ld(X_47,X_46),mult(ld(X_47,X_46),mult(X_47,X_48))),mult(ld(X_47,mult(X_47,X_47)),X_48)) )],[refute_0_234,refute_0_237]) ).

cnf(refute_0_239,plain,
    ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_47,X_48))) = mult(ld(X_45,mult(X_45,X_47)),X_48),
    inference(subst,[],[f05:[bind(A,$fot(X_45)),bind(B,$fot(mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45)))))),bind(C,$fot(X_47)),bind(D,$fot(X_48))]]) ).

cnf(refute_0_240,plain,
    X_45 = ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),
    inference(subst,[],[refute_0_139:[bind(A,$fot(X_45))]]) ).

cnf(refute_0_241,plain,
    ( X_45 != ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45)))))
    | ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))) = X_45 ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(X_45)),bind(Y,$fot(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45)))))))]]) ).

cnf(refute_0_242,plain,
    ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))) = X_45,
    inference(resolve,[$cnf( $equal(X_45,ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45)))))) )],[refute_0_240,refute_0_241]) ).

cnf(refute_0_243,plain,
    ( ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))) != X_45
    | ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_47,X_48))) != mult(ld(X_45,mult(X_45,X_47)),X_48)
    | ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_45,mult(X_47,X_48))) = mult(ld(X_45,mult(X_45,X_47)),X_48) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_47,X_48))),mult(ld(X_45,mult(X_45,X_47)),X_48)) ),[0,1,0],$fot(X_45)]]) ).

cnf(refute_0_244,plain,
    ( ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_47,X_48))) != mult(ld(X_45,mult(X_45,X_47)),X_48)
    | ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_45,mult(X_47,X_48))) = mult(ld(X_45,mult(X_45,X_47)),X_48) ),
    inference(resolve,[$cnf( $equal(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),X_45) )],[refute_0_242,refute_0_243]) ).

cnf(refute_0_245,plain,
    ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_45,mult(X_47,X_48))) = mult(ld(X_45,mult(X_45,X_47)),X_48),
    inference(resolve,[$cnf( $equal(ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_47,X_48))),mult(ld(X_45,mult(X_45,X_47)),X_48)) )],[refute_0_239,refute_0_244]) ).

cnf(refute_0_246,plain,
    ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_45,mult(X_47,X_48))) = ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_45,mult(X_47,X_48))),
    introduced(tautology,[refl,[$fot(ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_45,mult(X_47,X_48))))]]) ).

cnf(refute_0_247,plain,
    ( ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))) != X_45
    | ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_45,mult(X_47,X_48))) != ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_45,mult(X_47,X_48)))
    | ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_45,mult(X_47,X_48))) = ld(X_45,mult(X_45,mult(X_47,X_48))) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_45,mult(X_47,X_48))),ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_45,mult(X_47,X_48)))) ),[1,0],$fot(X_45)]]) ).

cnf(refute_0_248,plain,
    ( ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))) != X_45
    | ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_45,mult(X_47,X_48))) = ld(X_45,mult(X_45,mult(X_47,X_48))) ),
    inference(resolve,[$cnf( $equal(ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_45,mult(X_47,X_48))),ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_45,mult(X_47,X_48)))) )],[refute_0_246,refute_0_247]) ).

cnf(refute_0_249,plain,
    ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_45,mult(X_47,X_48))) = ld(X_45,mult(X_45,mult(X_47,X_48))),
    inference(resolve,[$cnf( $equal(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),X_45) )],[refute_0_242,refute_0_248]) ).

cnf(refute_0_250,plain,
    ( ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_45,mult(X_47,X_48))) != ld(X_45,mult(X_45,mult(X_47,X_48)))
    | ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_45,mult(X_47,X_48))) != mult(ld(X_45,mult(X_45,X_47)),X_48)
    | ld(X_45,mult(X_45,mult(X_47,X_48))) = mult(ld(X_45,mult(X_45,X_47)),X_48) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_45,mult(X_47,X_48))),mult(ld(X_45,mult(X_45,X_47)),X_48)) ),[0],$fot(ld(X_45,mult(X_45,mult(X_47,X_48))))]]) ).

cnf(refute_0_251,plain,
    ( ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_45,mult(X_47,X_48))) != mult(ld(X_45,mult(X_45,X_47)),X_48)
    | ld(X_45,mult(X_45,mult(X_47,X_48))) = mult(ld(X_45,mult(X_45,X_47)),X_48) ),
    inference(resolve,[$cnf( $equal(ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_45,mult(X_47,X_48))),ld(X_45,mult(X_45,mult(X_47,X_48)))) )],[refute_0_249,refute_0_250]) ).

cnf(refute_0_252,plain,
    ld(X_45,mult(X_45,mult(X_47,X_48))) = mult(ld(X_45,mult(X_45,X_47)),X_48),
    inference(resolve,[$cnf( $equal(ld(ld(X_45,mult(X_45,mult(X_45,ld(ld(X_45,X_45),ld(X_45,X_45))))),mult(X_45,mult(X_47,X_48))),mult(ld(X_45,mult(X_45,X_47)),X_48)) )],[refute_0_245,refute_0_251]) ).

cnf(refute_0_253,plain,
    ( ld(X_45,mult(X_45,mult(X_47,X_48))) != mult(ld(X_45,mult(X_45,X_47)),X_48)
    | mult(ld(X_45,mult(X_45,X_47)),X_48) = ld(X_45,mult(X_45,mult(X_47,X_48))) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(ld(X_45,mult(X_45,mult(X_47,X_48))))),bind(Y,$fot(mult(ld(X_45,mult(X_45,X_47)),X_48)))]]) ).

cnf(refute_0_254,plain,
    mult(ld(X_45,mult(X_45,X_47)),X_48) = ld(X_45,mult(X_45,mult(X_47,X_48))),
    inference(resolve,[$cnf( $equal(ld(X_45,mult(X_45,mult(X_47,X_48))),mult(ld(X_45,mult(X_45,X_47)),X_48)) )],[refute_0_252,refute_0_253]) ).

cnf(refute_0_255,plain,
    mult(ld(X_47,mult(X_47,X_47)),X_48) = ld(X_47,mult(X_47,mult(X_47,X_48))),
    inference(subst,[],[refute_0_254:[bind(X_45,$fot(X_47))]]) ).

cnf(refute_0_256,plain,
    ( ld(ld(X_47,X_46),mult(ld(X_47,X_46),mult(X_47,X_48))) != mult(ld(X_47,mult(X_47,X_47)),X_48)
    | mult(ld(X_47,mult(X_47,X_47)),X_48) != ld(X_47,mult(X_47,mult(X_47,X_48)))
    | ld(ld(X_47,X_46),mult(ld(X_47,X_46),mult(X_47,X_48))) = ld(X_47,mult(X_47,mult(X_47,X_48))) ),
    inference(subst,[],[refute_0_38:[bind(X,$fot(ld(ld(X_47,X_46),mult(ld(X_47,X_46),mult(X_47,X_48))))),bind(Y,$fot(mult(ld(X_47,mult(X_47,X_47)),X_48))),bind(Z,$fot(ld(X_47,mult(X_47,mult(X_47,X_48)))))]]) ).

cnf(refute_0_257,plain,
    ( mult(ld(X_47,mult(X_47,X_47)),X_48) != ld(X_47,mult(X_47,mult(X_47,X_48)))
    | ld(ld(X_47,X_46),mult(ld(X_47,X_46),mult(X_47,X_48))) = ld(X_47,mult(X_47,mult(X_47,X_48))) ),
    inference(resolve,[$cnf( $equal(ld(ld(X_47,X_46),mult(ld(X_47,X_46),mult(X_47,X_48))),mult(ld(X_47,mult(X_47,X_47)),X_48)) )],[refute_0_234,refute_0_256]) ).

cnf(refute_0_258,plain,
    ld(ld(X_47,X_46),mult(ld(X_47,X_46),mult(X_47,X_48))) = ld(X_47,mult(X_47,mult(X_47,X_48))),
    inference(resolve,[$cnf( $equal(mult(ld(X_47,mult(X_47,X_47)),X_48),ld(X_47,mult(X_47,mult(X_47,X_48)))) )],[refute_0_255,refute_0_257]) ).

cnf(refute_0_259,plain,
    ( ld(ld(X_47,X_46),mult(ld(X_47,X_46),mult(X_47,X_48))) != ld(X_47,mult(X_47,mult(X_47,X_48)))
    | ld(ld(X_47,X_46),mult(ld(X_47,X_46),mult(X_47,X_48))) != mult(X_47,X_48)
    | ld(X_47,mult(X_47,mult(X_47,X_48))) = mult(X_47,X_48) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_47,X_46),mult(ld(X_47,X_46),mult(X_47,X_48))),mult(X_47,X_48)) ),[0],$fot(ld(X_47,mult(X_47,mult(X_47,X_48))))]]) ).

cnf(refute_0_260,plain,
    ( ld(ld(X_47,X_46),mult(ld(X_47,X_46),mult(X_47,X_48))) != mult(X_47,X_48)
    | ld(X_47,mult(X_47,mult(X_47,X_48))) = mult(X_47,X_48) ),
    inference(resolve,[$cnf( $equal(ld(ld(X_47,X_46),mult(ld(X_47,X_46),mult(X_47,X_48))),ld(X_47,mult(X_47,mult(X_47,X_48)))) )],[refute_0_258,refute_0_259]) ).

cnf(refute_0_261,plain,
    ld(X_47,mult(X_47,mult(X_47,X_48))) = mult(X_47,X_48),
    inference(resolve,[$cnf( $equal(ld(ld(X_47,X_46),mult(ld(X_47,X_46),mult(X_47,X_48))),mult(X_47,X_48)) )],[refute_0_238,refute_0_260]) ).

cnf(refute_0_262,plain,
    ld(X_30,mult(X_30,mult(X_30,ld(X_62,X_62)))) = mult(X_30,ld(X_62,X_62)),
    inference(subst,[],[refute_0_261:[bind(X_47,$fot(X_30)),bind(X_48,$fot(ld(X_62,X_62)))]]) ).

cnf(refute_0_263,plain,
    mult(X_30,ld(X_30,mult(X_30,ld(X_62,X_62)))) = ld(X_30,mult(X_30,mult(X_30,ld(X_62,X_62)))),
    inference(subst,[],[f03:[bind(A,$fot(X_30)),bind(B,$fot(mult(X_30,ld(X_62,X_62))))]]) ).

cnf(refute_0_264,plain,
    ( ld(X_30,mult(X_30,mult(X_30,ld(X_62,X_62)))) != mult(X_30,ld(X_62,X_62))
    | mult(X_30,ld(X_30,mult(X_30,ld(X_62,X_62)))) != ld(X_30,mult(X_30,mult(X_30,ld(X_62,X_62))))
    | mult(X_30,ld(X_30,mult(X_30,ld(X_62,X_62)))) = mult(X_30,ld(X_62,X_62)) ),
    inference(subst,[],[refute_0_38:[bind(X,$fot(mult(X_30,ld(X_30,mult(X_30,ld(X_62,X_62)))))),bind(Y,$fot(ld(X_30,mult(X_30,mult(X_30,ld(X_62,X_62)))))),bind(Z,$fot(mult(X_30,ld(X_62,X_62))))]]) ).

cnf(refute_0_265,plain,
    ( ld(X_30,mult(X_30,mult(X_30,ld(X_62,X_62)))) != mult(X_30,ld(X_62,X_62))
    | mult(X_30,ld(X_30,mult(X_30,ld(X_62,X_62)))) = mult(X_30,ld(X_62,X_62)) ),
    inference(resolve,[$cnf( $equal(mult(X_30,ld(X_30,mult(X_30,ld(X_62,X_62)))),ld(X_30,mult(X_30,mult(X_30,ld(X_62,X_62))))) )],[refute_0_263,refute_0_264]) ).

cnf(refute_0_266,plain,
    mult(X_30,ld(X_30,mult(X_30,ld(X_62,X_62)))) = mult(X_30,ld(X_62,X_62)),
    inference(resolve,[$cnf( $equal(ld(X_30,mult(X_30,mult(X_30,ld(X_62,X_62)))),mult(X_30,ld(X_62,X_62))) )],[refute_0_262,refute_0_265]) ).

cnf(refute_0_267,plain,
    mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))) = mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))),
    introduced(tautology,[refl,[$fot(mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))))]]) ).

cnf(refute_0_268,plain,
    ( mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))) != mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62))))
    | rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)) != X_30
    | mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))) = mult(X_30,ld(X_30,mult(X_30,ld(X_62,X_62)))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))),mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62))))) ),[1,0],$fot(X_30)]]) ).

cnf(refute_0_269,plain,
    ( rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)) != X_30
    | mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))) = mult(X_30,ld(X_30,mult(X_30,ld(X_62,X_62)))) ),
    inference(resolve,[$cnf( $equal(mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))),mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62))))) )],[refute_0_267,refute_0_268]) ).

cnf(refute_0_270,plain,
    mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))) = mult(X_30,ld(X_30,mult(X_30,ld(X_62,X_62)))),
    inference(resolve,[$cnf( $equal(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),X_30) )],[refute_0_223,refute_0_269]) ).

cnf(refute_0_271,plain,
    ( mult(X_30,ld(X_30,mult(X_30,ld(X_62,X_62)))) != mult(X_30,ld(X_62,X_62))
    | mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))) != mult(X_30,ld(X_30,mult(X_30,ld(X_62,X_62))))
    | mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))) = mult(X_30,ld(X_62,X_62)) ),
    inference(subst,[],[refute_0_38:[bind(X,$fot(mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))))),bind(Y,$fot(mult(X_30,ld(X_30,mult(X_30,ld(X_62,X_62)))))),bind(Z,$fot(mult(X_30,ld(X_62,X_62))))]]) ).

cnf(refute_0_272,plain,
    ( mult(X_30,ld(X_30,mult(X_30,ld(X_62,X_62)))) != mult(X_30,ld(X_62,X_62))
    | mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))) = mult(X_30,ld(X_62,X_62)) ),
    inference(resolve,[$cnf( $equal(mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))),mult(X_30,ld(X_30,mult(X_30,ld(X_62,X_62))))) )],[refute_0_270,refute_0_271]) ).

cnf(refute_0_273,plain,
    mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))) = mult(X_30,ld(X_62,X_62)),
    inference(resolve,[$cnf( $equal(mult(X_30,ld(X_30,mult(X_30,ld(X_62,X_62)))),mult(X_30,ld(X_62,X_62))) )],[refute_0_266,refute_0_272]) ).

cnf(refute_0_274,plain,
    ( mult(rd(X_30,rd(X_61,X_62)),rd(X_61,X_62)) != mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62))))
    | mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))) != mult(X_30,ld(X_62,X_62))
    | mult(rd(X_30,rd(X_61,X_62)),rd(X_61,X_62)) = mult(X_30,ld(X_62,X_62)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(mult(rd(X_30,rd(X_61,X_62)),rd(X_61,X_62)),mult(X_30,ld(X_62,X_62))) ),[0],$fot(mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))))]]) ).

cnf(refute_0_275,plain,
    ( mult(rd(X_30,rd(X_61,X_62)),rd(X_61,X_62)) != mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62))))
    | mult(rd(X_30,rd(X_61,X_62)),rd(X_61,X_62)) = mult(X_30,ld(X_62,X_62)) ),
    inference(resolve,[$cnf( $equal(mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62)))),mult(X_30,ld(X_62,X_62))) )],[refute_0_273,refute_0_274]) ).

cnf(refute_0_276,plain,
    ( mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)) != mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62))))
    | mult(rd(X_30,rd(X_61,X_62)),rd(X_61,X_62)) = mult(X_30,ld(X_62,X_62)) ),
    inference(resolve,[$cnf( $equal(mult(rd(X_30,rd(X_61,X_62)),rd(X_61,X_62)),mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62))))) )],[refute_0_233,refute_0_275]) ).

cnf(refute_0_277,plain,
    mult(rd(X_30,rd(X_61,X_62)),rd(X_61,X_62)) = mult(X_30,ld(X_62,X_62)),
    inference(resolve,[$cnf( $equal(mult(rd(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),rd(X_61,X_62)),rd(X_61,X_62)),mult(rd(rd(X_30,ld(X_30,X_30)),ld(X_30,X_30)),ld(X_30,mult(X_30,ld(X_62,X_62))))) )],[refute_0_167,refute_0_276]) ).

cnf(refute_0_278,plain,
    mult(rd(X_60,rd(X_61,X_62)),rd(X_61,X_62)) = mult(X_60,ld(X_62,X_62)),
    inference(subst,[],[refute_0_277:[bind(X_30,$fot(X_60))]]) ).

cnf(refute_0_279,plain,
    ( mult(rd(X_60,rd(X_61,X_62)),rd(X_61,X_62)) != mult(X_60,ld(X_62,X_62))
    | mult(rd(X_60,rd(X_61,X_62)),rd(X_61,X_62)) != mult(ld(X_60,X_60),mult(rd(X_60,X_62),X_62))
    | mult(X_60,ld(X_62,X_62)) = mult(ld(X_60,X_60),mult(rd(X_60,X_62),X_62)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_60,rd(X_61,X_62)),rd(X_61,X_62)),mult(ld(X_60,X_60),mult(rd(X_60,X_62),X_62))) ),[0],$fot(mult(X_60,ld(X_62,X_62)))]]) ).

cnf(refute_0_280,plain,
    ( mult(rd(X_60,rd(X_61,X_62)),rd(X_61,X_62)) != mult(ld(X_60,X_60),mult(rd(X_60,X_62),X_62))
    | mult(X_60,ld(X_62,X_62)) = mult(ld(X_60,X_60),mult(rd(X_60,X_62),X_62)) ),
    inference(resolve,[$cnf( $equal(mult(rd(X_60,rd(X_61,X_62)),rd(X_61,X_62)),mult(X_60,ld(X_62,X_62))) )],[refute_0_278,refute_0_279]) ).

cnf(refute_0_281,plain,
    mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(ld(X_13,X_13),ld(X_13,X_13))) = mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13))),
    inference(subst,[],[refute_0_201:[bind(X_59,$fot(X_76)),bind(X_60,$fot(X_77)),bind(X_62,$fot(ld(X_13,X_13)))]]) ).

cnf(refute_0_282,plain,
    mult(rd(rd(ld(X_13,X_13),B),B),B) = rd(mult(rd(ld(X_13,X_13),B),B),B),
    inference(subst,[],[f04:[bind(A,$fot(rd(ld(X_13,X_13),B)))]]) ).

cnf(refute_0_283,plain,
    ld(X_13,mult(X_13,ld(B,B))) = mult(rd(ld(X_13,X_13),B),B),
    inference(subst,[],[refute_0_95:[bind(A,$fot(X_13))]]) ).

cnf(refute_0_284,plain,
    ( ld(X_13,mult(X_13,ld(B,B))) != mult(rd(ld(X_13,X_13),B),B)
    | mult(rd(ld(X_13,X_13),B),B) = ld(X_13,mult(X_13,ld(B,B))) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(ld(X_13,mult(X_13,ld(B,B))))),bind(Y,$fot(mult(rd(ld(X_13,X_13),B),B)))]]) ).

cnf(refute_0_285,plain,
    mult(rd(ld(X_13,X_13),B),B) = ld(X_13,mult(X_13,ld(B,B))),
    inference(resolve,[$cnf( $equal(ld(X_13,mult(X_13,ld(B,B))),mult(rd(ld(X_13,X_13),B),B)) )],[refute_0_283,refute_0_284]) ).

cnf(refute_0_286,plain,
    ( mult(rd(ld(X_13,X_13),B),B) != ld(X_13,mult(X_13,ld(B,B)))
    | mult(rd(rd(ld(X_13,X_13),B),B),B) != rd(mult(rd(ld(X_13,X_13),B),B),B)
    | mult(rd(rd(ld(X_13,X_13),B),B),B) = rd(ld(X_13,mult(X_13,ld(B,B))),B) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(ld(X_13,X_13),B),B),B),rd(mult(rd(ld(X_13,X_13),B),B),B)) ),[1,0],$fot(ld(X_13,mult(X_13,ld(B,B))))]]) ).

cnf(refute_0_287,plain,
    ( mult(rd(rd(ld(X_13,X_13),B),B),B) != rd(mult(rd(ld(X_13,X_13),B),B),B)
    | mult(rd(rd(ld(X_13,X_13),B),B),B) = rd(ld(X_13,mult(X_13,ld(B,B))),B) ),
    inference(resolve,[$cnf( $equal(mult(rd(ld(X_13,X_13),B),B),ld(X_13,mult(X_13,ld(B,B)))) )],[refute_0_285,refute_0_286]) ).

cnf(refute_0_288,plain,
    mult(rd(rd(ld(X_13,X_13),B),B),B) = rd(ld(X_13,mult(X_13,ld(B,B))),B),
    inference(resolve,[$cnf( $equal(mult(rd(rd(ld(X_13,X_13),B),B),B),rd(mult(rd(ld(X_13,X_13),B),B),B)) )],[refute_0_282,refute_0_287]) ).

cnf(refute_0_289,plain,
    mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = rd(ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))),ld(X_13,X_13)),
    inference(subst,[],[refute_0_288:[bind(B,$fot(ld(X_13,X_13)))]]) ).

cnf(refute_0_290,plain,
    ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))) = mult(A,ld(ld(A,A),ld(A,A))),
    inference(subst,[],[refute_0_261:[bind(X_47,$fot(A)),bind(X_48,$fot(ld(ld(A,A),ld(A,A))))]]) ).

cnf(refute_0_291,plain,
    ( A != ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))
    | ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))) != mult(A,ld(ld(A,A),ld(A,A)))
    | A = mult(A,ld(ld(A,A),ld(A,A))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(A,mult(A,ld(ld(A,A),ld(A,A)))) ),[0],$fot(ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A))))))]]) ).

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

cnf(refute_0_293,plain,
    A = mult(A,ld(ld(A,A),ld(A,A))),
    inference(resolve,[$cnf( $equal(A,ld(A,mult(A,mult(A,ld(ld(A,A),ld(A,A)))))) )],[refute_0_139,refute_0_292]) ).

cnf(refute_0_294,plain,
    X_13 = mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13))),
    inference(subst,[],[refute_0_293:[bind(A,$fot(X_13))]]) ).

cnf(refute_0_295,plain,
    ( X_13 != mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))
    | mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13))) = X_13 ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(X_13)),bind(Y,$fot(mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))))]]) ).

cnf(refute_0_296,plain,
    mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13))) = X_13,
    inference(resolve,[$cnf( $equal(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) )],[refute_0_294,refute_0_295]) ).

cnf(refute_0_297,plain,
    ( mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13))) != X_13
    | mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) != rd(ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))),ld(X_13,X_13))
    | mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = rd(ld(X_13,X_13),ld(X_13,X_13)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),rd(ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))),ld(X_13,X_13))) ),[1,0,1],$fot(X_13)]]) ).

cnf(refute_0_298,plain,
    ( mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) != rd(ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))),ld(X_13,X_13))
    | mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = rd(ld(X_13,X_13),ld(X_13,X_13)) ),
    inference(resolve,[$cnf( $equal(mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13))),X_13) )],[refute_0_296,refute_0_297]) ).

cnf(refute_0_299,plain,
    mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = rd(ld(X_13,X_13),ld(X_13,X_13)),
    inference(resolve,[$cnf( $equal(mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),rd(ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))),ld(X_13,X_13))) )],[refute_0_289,refute_0_298]) ).

cnf(refute_0_300,plain,
    ld(ld(X_45,X_46),mult(ld(X_45,X_46),mult(ld(X_48,X_48),X_48))) = mult(ld(X_45,mult(X_45,ld(X_48,X_48))),X_48),
    inference(subst,[],[f05:[bind(A,$fot(X_45)),bind(B,$fot(X_46)),bind(C,$fot(ld(X_48,X_48))),bind(D,$fot(X_48))]]) ).

cnf(refute_0_301,plain,
    mult(ld(X_48,X_48),X_48) = X_48,
    inference(subst,[],[refute_0_68:[bind(A,$fot(X_48))]]) ).

cnf(refute_0_302,plain,
    ( ld(ld(X_45,X_46),mult(ld(X_45,X_46),mult(ld(X_48,X_48),X_48))) != mult(ld(X_45,mult(X_45,ld(X_48,X_48))),X_48)
    | mult(ld(X_48,X_48),X_48) != X_48
    | ld(ld(X_45,X_46),mult(ld(X_45,X_46),X_48)) = mult(ld(X_45,mult(X_45,ld(X_48,X_48))),X_48) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_45,X_46),mult(ld(X_45,X_46),mult(ld(X_48,X_48),X_48))),mult(ld(X_45,mult(X_45,ld(X_48,X_48))),X_48)) ),[0,1,1],$fot(X_48)]]) ).

cnf(refute_0_303,plain,
    ( ld(ld(X_45,X_46),mult(ld(X_45,X_46),mult(ld(X_48,X_48),X_48))) != mult(ld(X_45,mult(X_45,ld(X_48,X_48))),X_48)
    | ld(ld(X_45,X_46),mult(ld(X_45,X_46),X_48)) = mult(ld(X_45,mult(X_45,ld(X_48,X_48))),X_48) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_48,X_48),X_48),X_48) )],[refute_0_301,refute_0_302]) ).

cnf(refute_0_304,plain,
    ld(ld(X_45,X_46),mult(ld(X_45,X_46),X_48)) = mult(ld(X_45,mult(X_45,ld(X_48,X_48))),X_48),
    inference(resolve,[$cnf( $equal(ld(ld(X_45,X_46),mult(ld(X_45,X_46),mult(ld(X_48,X_48),X_48))),mult(ld(X_45,mult(X_45,ld(X_48,X_48))),X_48)) )],[refute_0_300,refute_0_303]) ).

cnf(refute_0_305,plain,
    mult(X_45,mult(ld(X_48,X_48),X_48)) = mult(X_45,mult(ld(X_48,X_48),X_48)),
    introduced(tautology,[refl,[$fot(mult(X_45,mult(ld(X_48,X_48),X_48)))]]) ).

cnf(refute_0_306,plain,
    ( mult(X_45,mult(ld(X_48,X_48),X_48)) != mult(X_45,mult(ld(X_48,X_48),X_48))
    | mult(ld(X_48,X_48),X_48) != X_48
    | mult(X_45,mult(ld(X_48,X_48),X_48)) = mult(X_45,X_48) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_45,mult(ld(X_48,X_48),X_48)),mult(X_45,mult(ld(X_48,X_48),X_48))) ),[1,1],$fot(X_48)]]) ).

cnf(refute_0_307,plain,
    ( mult(ld(X_48,X_48),X_48) != X_48
    | mult(X_45,mult(ld(X_48,X_48),X_48)) = mult(X_45,X_48) ),
    inference(resolve,[$cnf( $equal(mult(X_45,mult(ld(X_48,X_48),X_48)),mult(X_45,mult(ld(X_48,X_48),X_48))) )],[refute_0_305,refute_0_306]) ).

cnf(refute_0_308,plain,
    mult(X_45,mult(ld(X_48,X_48),X_48)) = mult(X_45,X_48),
    inference(resolve,[$cnf( $equal(mult(ld(X_48,X_48),X_48),X_48) )],[refute_0_301,refute_0_307]) ).

cnf(refute_0_309,plain,
    ld(X_45,mult(X_45,mult(ld(X_48,X_48),X_48))) = ld(X_45,mult(X_45,mult(ld(X_48,X_48),X_48))),
    introduced(tautology,[refl,[$fot(ld(X_45,mult(X_45,mult(ld(X_48,X_48),X_48))))]]) ).

cnf(refute_0_310,plain,
    ( ld(X_45,mult(X_45,mult(ld(X_48,X_48),X_48))) != ld(X_45,mult(X_45,mult(ld(X_48,X_48),X_48)))
    | mult(X_45,mult(ld(X_48,X_48),X_48)) != mult(X_45,X_48)
    | ld(X_45,mult(X_45,mult(ld(X_48,X_48),X_48))) = ld(X_45,mult(X_45,X_48)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(X_45,mult(X_45,mult(ld(X_48,X_48),X_48))),ld(X_45,mult(X_45,mult(ld(X_48,X_48),X_48)))) ),[1,1],$fot(mult(X_45,X_48))]]) ).

cnf(refute_0_311,plain,
    ( mult(X_45,mult(ld(X_48,X_48),X_48)) != mult(X_45,X_48)
    | ld(X_45,mult(X_45,mult(ld(X_48,X_48),X_48))) = ld(X_45,mult(X_45,X_48)) ),
    inference(resolve,[$cnf( $equal(ld(X_45,mult(X_45,mult(ld(X_48,X_48),X_48))),ld(X_45,mult(X_45,mult(ld(X_48,X_48),X_48)))) )],[refute_0_309,refute_0_310]) ).

cnf(refute_0_312,plain,
    ld(X_45,mult(X_45,mult(ld(X_48,X_48),X_48))) = ld(X_45,mult(X_45,X_48)),
    inference(resolve,[$cnf( $equal(mult(X_45,mult(ld(X_48,X_48),X_48)),mult(X_45,X_48)) )],[refute_0_308,refute_0_311]) ).

cnf(refute_0_313,plain,
    mult(ld(X_45,mult(X_45,ld(X_48,X_48))),X_48) = ld(X_45,mult(X_45,mult(ld(X_48,X_48),X_48))),
    inference(subst,[],[refute_0_254:[bind(X_47,$fot(ld(X_48,X_48)))]]) ).

cnf(refute_0_314,plain,
    ( ld(X_45,mult(X_45,mult(ld(X_48,X_48),X_48))) != ld(X_45,mult(X_45,X_48))
    | mult(ld(X_45,mult(X_45,ld(X_48,X_48))),X_48) != ld(X_45,mult(X_45,mult(ld(X_48,X_48),X_48)))
    | mult(ld(X_45,mult(X_45,ld(X_48,X_48))),X_48) = ld(X_45,mult(X_45,X_48)) ),
    inference(subst,[],[refute_0_38:[bind(X,$fot(mult(ld(X_45,mult(X_45,ld(X_48,X_48))),X_48))),bind(Y,$fot(ld(X_45,mult(X_45,mult(ld(X_48,X_48),X_48))))),bind(Z,$fot(ld(X_45,mult(X_45,X_48))))]]) ).

cnf(refute_0_315,plain,
    ( ld(X_45,mult(X_45,mult(ld(X_48,X_48),X_48))) != ld(X_45,mult(X_45,X_48))
    | mult(ld(X_45,mult(X_45,ld(X_48,X_48))),X_48) = ld(X_45,mult(X_45,X_48)) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_45,mult(X_45,ld(X_48,X_48))),X_48),ld(X_45,mult(X_45,mult(ld(X_48,X_48),X_48)))) )],[refute_0_313,refute_0_314]) ).

cnf(refute_0_316,plain,
    mult(ld(X_45,mult(X_45,ld(X_48,X_48))),X_48) = ld(X_45,mult(X_45,X_48)),
    inference(resolve,[$cnf( $equal(ld(X_45,mult(X_45,mult(ld(X_48,X_48),X_48))),ld(X_45,mult(X_45,X_48))) )],[refute_0_312,refute_0_315]) ).

cnf(refute_0_317,plain,
    ( ld(ld(X_45,X_46),mult(ld(X_45,X_46),X_48)) != mult(ld(X_45,mult(X_45,ld(X_48,X_48))),X_48)
    | mult(ld(X_45,mult(X_45,ld(X_48,X_48))),X_48) != ld(X_45,mult(X_45,X_48))
    | ld(ld(X_45,X_46),mult(ld(X_45,X_46),X_48)) = ld(X_45,mult(X_45,X_48)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(ld(ld(X_45,X_46),mult(ld(X_45,X_46),X_48)),ld(X_45,mult(X_45,X_48))) ),[0],$fot(mult(ld(X_45,mult(X_45,ld(X_48,X_48))),X_48))]]) ).

cnf(refute_0_318,plain,
    ( ld(ld(X_45,X_46),mult(ld(X_45,X_46),X_48)) != mult(ld(X_45,mult(X_45,ld(X_48,X_48))),X_48)
    | ld(ld(X_45,X_46),mult(ld(X_45,X_46),X_48)) = ld(X_45,mult(X_45,X_48)) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_45,mult(X_45,ld(X_48,X_48))),X_48),ld(X_45,mult(X_45,X_48))) )],[refute_0_316,refute_0_317]) ).

cnf(refute_0_319,plain,
    ld(ld(X_45,X_46),mult(ld(X_45,X_46),X_48)) = ld(X_45,mult(X_45,X_48)),
    inference(resolve,[$cnf( $equal(ld(ld(X_45,X_46),mult(ld(X_45,X_46),X_48)),mult(ld(X_45,mult(X_45,ld(X_48,X_48))),X_48)) )],[refute_0_304,refute_0_318]) ).

cnf(refute_0_320,plain,
    ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))) = ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))),
    inference(subst,[],[refute_0_319:[bind(X_45,$fot(X_13)),bind(X_46,$fot(X_13)),bind(X_48,$fot(ld(ld(X_13,X_13),ld(X_13,X_13))))]]) ).

cnf(refute_0_321,plain,
    ( ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) != ld(X_13,X_13)
    | ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))) != ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13))))
    | ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))) = ld(X_13,X_13) ),
    inference(subst,[],[refute_0_38:[bind(X,$fot(ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))))),bind(Y,$fot(ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))))),bind(Z,$fot(ld(X_13,X_13)))]]) ).

cnf(refute_0_322,plain,
    ( ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))) != ld(X_13,X_13)
    | ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))) = ld(X_13,X_13) ),
    inference(resolve,[$cnf( $equal(ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))),ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13))))) )],[refute_0_320,refute_0_321]) ).

cnf(refute_0_323,plain,
    ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))) = ld(X_13,X_13),
    inference(resolve,[$cnf( $equal(ld(X_13,mult(X_13,ld(ld(X_13,X_13),ld(X_13,X_13)))),ld(X_13,X_13)) )],[refute_0_106,refute_0_322]) ).

cnf(refute_0_324,plain,
    mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))),
    inference(subst,[],[refute_0_159:[bind(A,$fot(ld(X_13,X_13))),bind(B,$fot(ld(X_13,X_13)))]]) ).

cnf(refute_0_325,plain,
    ( ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))) != ld(X_13,X_13)
    | mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) != ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13))))
    | mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = ld(X_13,X_13) ),
    inference(subst,[],[refute_0_38:[bind(X,$fot(mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)))),bind(Y,$fot(ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))))),bind(Z,$fot(ld(X_13,X_13)))]]) ).

cnf(refute_0_326,plain,
    ( ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))) != ld(X_13,X_13)
    | mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = ld(X_13,X_13) ),
    inference(resolve,[$cnf( $equal(mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13))))) )],[refute_0_324,refute_0_325]) ).

cnf(refute_0_327,plain,
    mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = ld(X_13,X_13),
    inference(resolve,[$cnf( $equal(ld(ld(X_13,X_13),mult(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13)))),ld(X_13,X_13)) )],[refute_0_323,refute_0_326]) ).

cnf(refute_0_328,plain,
    rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) = rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),
    introduced(tautology,[refl,[$fot(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)))]]) ).

cnf(refute_0_329,plain,
    ( rd(ld(X_13,X_13),ld(X_13,X_13)) != ld(ld(X_13,X_13),ld(X_13,X_13))
    | rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) != rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))
    | rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) = rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))) ),[1,0],$fot(ld(ld(X_13,X_13),ld(X_13,X_13)))]]) ).

cnf(refute_0_330,plain,
    ( rd(ld(X_13,X_13),ld(X_13,X_13)) != ld(ld(X_13,X_13),ld(X_13,X_13))
    | rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) = rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) ),
    inference(resolve,[$cnf( $equal(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))) )],[refute_0_328,refute_0_329]) ).

cnf(refute_0_331,plain,
    rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) = rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),
    inference(resolve,[$cnf( $equal(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(ld(X_13,X_13),ld(X_13,X_13))) )],[refute_0_99,refute_0_330]) ).

cnf(refute_0_332,plain,
    mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),
    introduced(tautology,[refl,[$fot(mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)))]]) ).

cnf(refute_0_333,plain,
    ( mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) != mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13))
    | rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) != rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))
    | mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13))) ),[1,0],$fot(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)))]]) ).

cnf(refute_0_334,plain,
    ( rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) != rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))
    | mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) ),
    inference(resolve,[$cnf( $equal(mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13))) )],[refute_0_332,refute_0_333]) ).

cnf(refute_0_335,plain,
    mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),
    inference(resolve,[$cnf( $equal(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13))) )],[refute_0_331,refute_0_334]) ).

cnf(refute_0_336,plain,
    ( mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) != ld(X_13,X_13)
    | mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) != mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13))
    | mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = ld(X_13,X_13) ),
    inference(subst,[],[refute_0_38:[bind(X,$fot(mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)))),bind(Y,$fot(mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)))),bind(Z,$fot(ld(X_13,X_13)))]]) ).

cnf(refute_0_337,plain,
    ( mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) != ld(X_13,X_13)
    | mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = ld(X_13,X_13) ),
    inference(resolve,[$cnf( $equal(mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13))) )],[refute_0_335,refute_0_336]) ).

cnf(refute_0_338,plain,
    mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) = ld(X_13,X_13),
    inference(resolve,[$cnf( $equal(mult(rd(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) )],[refute_0_327,refute_0_337]) ).

cnf(refute_0_339,plain,
    ( mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) != ld(X_13,X_13)
    | mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) != rd(ld(X_13,X_13),ld(X_13,X_13))
    | ld(X_13,X_13) = rd(ld(X_13,X_13),ld(X_13,X_13)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),rd(ld(X_13,X_13),ld(X_13,X_13))) ),[0],$fot(ld(X_13,X_13))]]) ).

cnf(refute_0_340,plain,
    ( mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) != rd(ld(X_13,X_13),ld(X_13,X_13))
    | ld(X_13,X_13) = rd(ld(X_13,X_13),ld(X_13,X_13)) ),
    inference(resolve,[$cnf( $equal(mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) )],[refute_0_338,refute_0_339]) ).

cnf(refute_0_341,plain,
    ( ld(X_13,X_13) != rd(ld(X_13,X_13),ld(X_13,X_13))
    | rd(ld(X_13,X_13),ld(X_13,X_13)) != ld(ld(X_13,X_13),ld(X_13,X_13))
    | ld(X_13,X_13) = ld(ld(X_13,X_13),ld(X_13,X_13)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13))) ),[0],$fot(rd(ld(X_13,X_13),ld(X_13,X_13)))]]) ).

cnf(refute_0_342,plain,
    ( ld(X_13,X_13) != rd(ld(X_13,X_13),ld(X_13,X_13))
    | ld(X_13,X_13) = ld(ld(X_13,X_13),ld(X_13,X_13)) ),
    inference(resolve,[$cnf( $equal(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(ld(X_13,X_13),ld(X_13,X_13))) )],[refute_0_99,refute_0_341]) ).

cnf(refute_0_343,plain,
    ( mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)) != rd(ld(X_13,X_13),ld(X_13,X_13))
    | ld(X_13,X_13) = ld(ld(X_13,X_13),ld(X_13,X_13)) ),
    inference(resolve,[$cnf( $equal(ld(X_13,X_13),rd(ld(X_13,X_13),ld(X_13,X_13))) )],[refute_0_340,refute_0_342]) ).

cnf(refute_0_344,plain,
    ld(X_13,X_13) = ld(ld(X_13,X_13),ld(X_13,X_13)),
    inference(resolve,[$cnf( $equal(mult(rd(rd(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)),ld(X_13,X_13)),rd(ld(X_13,X_13),ld(X_13,X_13))) )],[refute_0_299,refute_0_343]) ).

cnf(refute_0_345,plain,
    ( ld(X_13,X_13) != ld(ld(X_13,X_13),ld(X_13,X_13))
    | ld(ld(X_13,X_13),ld(X_13,X_13)) = ld(X_13,X_13) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(ld(X_13,X_13))),bind(Y,$fot(ld(ld(X_13,X_13),ld(X_13,X_13))))]]) ).

cnf(refute_0_346,plain,
    ld(ld(X_13,X_13),ld(X_13,X_13)) = ld(X_13,X_13),
    inference(resolve,[$cnf( $equal(ld(X_13,X_13),ld(ld(X_13,X_13),ld(X_13,X_13))) )],[refute_0_344,refute_0_345]) ).

cnf(refute_0_347,plain,
    ( ld(ld(X_13,X_13),ld(X_13,X_13)) != ld(X_13,X_13)
    | mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(ld(X_13,X_13),ld(X_13,X_13))) != mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13)))
    | mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) = mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(ld(X_13,X_13),ld(X_13,X_13))),mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13)))) ),[0,1],$fot(ld(X_13,X_13))]]) ).

cnf(refute_0_348,plain,
    ( mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(ld(X_13,X_13),ld(X_13,X_13))) != mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13)))
    | mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) = mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13))) ),
    inference(resolve,[$cnf( $equal(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) )],[refute_0_346,refute_0_347]) ).

cnf(refute_0_349,plain,
    mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) = mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13))),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(ld(X_13,X_13),ld(X_13,X_13))),mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13)))) )],[refute_0_281,refute_0_348]) ).

cnf(refute_0_350,plain,
    mult(rd(mult(X_76,X_77),ld(X_13,X_13)),ld(X_13,X_13)) = mult(X_76,mult(rd(X_77,X_13),X_13)),
    inference(subst,[],[refute_0_201:[bind(X_59,$fot(X_76)),bind(X_60,$fot(X_77)),bind(X_62,$fot(X_13))]]) ).

cnf(refute_0_351,plain,
    rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))) = rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),
    introduced(tautology,[refl,[$fot(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))))]]) ).

cnf(refute_0_352,plain,
    ( ld(ld(X_13,X_13),ld(X_13,X_13)) != ld(X_13,X_13)
    | rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))) != rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13)))
    | rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))) = rd(mult(X_76,X_77),ld(X_13,X_13)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13)))) ),[1,1],$fot(ld(X_13,X_13))]]) ).

cnf(refute_0_353,plain,
    ( ld(ld(X_13,X_13),ld(X_13,X_13)) != ld(X_13,X_13)
    | rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))) = rd(mult(X_76,X_77),ld(X_13,X_13)) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13)))) )],[refute_0_351,refute_0_352]) ).

cnf(refute_0_354,plain,
    rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))) = rd(mult(X_76,X_77),ld(X_13,X_13)),
    inference(resolve,[$cnf( $equal(ld(ld(X_13,X_13),ld(X_13,X_13)),ld(X_13,X_13)) )],[refute_0_346,refute_0_353]) ).

cnf(refute_0_355,plain,
    mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) = mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)),
    introduced(tautology,[refl,[$fot(mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)))]]) ).

cnf(refute_0_356,plain,
    ( mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) != mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13))
    | rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))) != rd(mult(X_76,X_77),ld(X_13,X_13))
    | mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) = mult(rd(mult(X_76,X_77),ld(X_13,X_13)),ld(X_13,X_13)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)),mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13))) ),[1,0],$fot(rd(mult(X_76,X_77),ld(X_13,X_13)))]]) ).

cnf(refute_0_357,plain,
    ( rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))) != rd(mult(X_76,X_77),ld(X_13,X_13))
    | mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) = mult(rd(mult(X_76,X_77),ld(X_13,X_13)),ld(X_13,X_13)) ),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)),mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13))) )],[refute_0_355,refute_0_356]) ).

cnf(refute_0_358,plain,
    mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) = mult(rd(mult(X_76,X_77),ld(X_13,X_13)),ld(X_13,X_13)),
    inference(resolve,[$cnf( $equal(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),rd(mult(X_76,X_77),ld(X_13,X_13))) )],[refute_0_354,refute_0_357]) ).

cnf(refute_0_359,plain,
    ( mult(rd(mult(X_76,X_77),ld(X_13,X_13)),ld(X_13,X_13)) != mult(X_76,mult(rd(X_77,X_13),X_13))
    | mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) != mult(rd(mult(X_76,X_77),ld(X_13,X_13)),ld(X_13,X_13))
    | mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) = mult(X_76,mult(rd(X_77,X_13),X_13)) ),
    inference(subst,[],[refute_0_38:[bind(X,$fot(mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)))),bind(Y,$fot(mult(rd(mult(X_76,X_77),ld(X_13,X_13)),ld(X_13,X_13)))),bind(Z,$fot(mult(X_76,mult(rd(X_77,X_13),X_13))))]]) ).

cnf(refute_0_360,plain,
    ( mult(rd(mult(X_76,X_77),ld(X_13,X_13)),ld(X_13,X_13)) != mult(X_76,mult(rd(X_77,X_13),X_13))
    | mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) = mult(X_76,mult(rd(X_77,X_13),X_13)) ),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)),mult(rd(mult(X_76,X_77),ld(X_13,X_13)),ld(X_13,X_13))) )],[refute_0_358,refute_0_359]) ).

cnf(refute_0_361,plain,
    mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) = mult(X_76,mult(rd(X_77,X_13),X_13)),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_76,X_77),ld(X_13,X_13)),ld(X_13,X_13)),mult(X_76,mult(rd(X_77,X_13),X_13))) )],[refute_0_350,refute_0_360]) ).

cnf(refute_0_362,plain,
    ( mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) != mult(X_76,mult(rd(X_77,X_13),X_13))
    | mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) != mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13)))
    | mult(X_76,mult(rd(X_77,X_13),X_13)) = mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)),mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13)))) ),[0],$fot(mult(X_76,mult(rd(X_77,X_13),X_13)))]]) ).

cnf(refute_0_363,plain,
    ( mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)) != mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13)))
    | mult(X_76,mult(rd(X_77,X_13),X_13)) = mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13))) ),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)),mult(X_76,mult(rd(X_77,X_13),X_13))) )],[refute_0_361,refute_0_362]) ).

cnf(refute_0_364,plain,
    mult(X_76,mult(rd(X_77,X_13),X_13)) = mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13))),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_76,X_77),ld(ld(X_13,X_13),ld(X_13,X_13))),ld(X_13,X_13)),mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13)))) )],[refute_0_349,refute_0_363]) ).

cnf(refute_0_365,plain,
    mult(rd(mult(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)) = mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78)),
    inference(subst,[],[refute_0_201:[bind(X_59,$fot(X_76)),bind(X_60,$fot(ld(X_78,X_78))),bind(X_62,$fot(X_78))]]) ).

cnf(refute_0_366,plain,
    mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)) = rd(mult(X_76,ld(X_78,X_78)),ld(X_78,X_78)),
    inference(subst,[],[f04:[bind(A,$fot(X_76)),bind(B,$fot(ld(X_78,X_78)))]]) ).

cnf(refute_0_367,plain,
    ( mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)) != rd(mult(X_76,ld(X_78,X_78)),ld(X_78,X_78))
    | rd(mult(X_76,ld(X_78,X_78)),ld(X_78,X_78)) = mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)))),bind(Y,$fot(rd(mult(X_76,ld(X_78,X_78)),ld(X_78,X_78))))]]) ).

cnf(refute_0_368,plain,
    rd(mult(X_76,ld(X_78,X_78)),ld(X_78,X_78)) = mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),
    inference(resolve,[$cnf( $equal(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),rd(mult(X_76,ld(X_78,X_78)),ld(X_78,X_78))) )],[refute_0_366,refute_0_367]) ).

cnf(refute_0_369,plain,
    ( mult(rd(mult(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)) != mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78))
    | rd(mult(X_76,ld(X_78,X_78)),ld(X_78,X_78)) != mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78))
    | mult(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)) = mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)),mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78))) ),[0,0],$fot(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)))]]) ).

cnf(refute_0_370,plain,
    ( mult(rd(mult(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)) != mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78))
    | mult(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)) = mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78)) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_76,ld(X_78,X_78)),ld(X_78,X_78)),mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78))) )],[refute_0_368,refute_0_369]) ).

cnf(refute_0_371,plain,
    mult(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)) = mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78)),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)),mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78))) )],[refute_0_365,refute_0_370]) ).

cnf(refute_0_372,plain,
    ld(X_78,mult(X_78,X_78)) = X_78,
    inference(subst,[],[f01:[bind(A,$fot(X_78))]]) ).

cnf(refute_0_373,plain,
    mult(X_78,ld(X_78,X_78)) = ld(X_78,mult(X_78,X_78)),
    inference(subst,[],[f03:[bind(A,$fot(X_78)),bind(B,$fot(X_78))]]) ).

cnf(refute_0_374,plain,
    ( ld(X_78,mult(X_78,X_78)) != X_78
    | mult(X_78,ld(X_78,X_78)) != ld(X_78,mult(X_78,X_78))
    | mult(X_78,ld(X_78,X_78)) = X_78 ),
    inference(subst,[],[refute_0_38:[bind(X,$fot(mult(X_78,ld(X_78,X_78)))),bind(Y,$fot(ld(X_78,mult(X_78,X_78)))),bind(Z,$fot(X_78))]]) ).

cnf(refute_0_375,plain,
    ( ld(X_78,mult(X_78,X_78)) != X_78
    | mult(X_78,ld(X_78,X_78)) = X_78 ),
    inference(resolve,[$cnf( $equal(mult(X_78,ld(X_78,X_78)),ld(X_78,mult(X_78,X_78))) )],[refute_0_373,refute_0_374]) ).

cnf(refute_0_376,plain,
    mult(X_78,ld(X_78,X_78)) = X_78,
    inference(resolve,[$cnf( $equal(ld(X_78,mult(X_78,X_78)),X_78) )],[refute_0_372,refute_0_375]) ).

cnf(refute_0_377,plain,
    ld(X_78,mult(X_78,ld(X_78,X_78))) = ld(X_78,mult(X_78,ld(X_78,X_78))),
    introduced(tautology,[refl,[$fot(ld(X_78,mult(X_78,ld(X_78,X_78))))]]) ).

cnf(refute_0_378,plain,
    ( ld(X_78,mult(X_78,ld(X_78,X_78))) != ld(X_78,mult(X_78,ld(X_78,X_78)))
    | mult(X_78,ld(X_78,X_78)) != X_78
    | ld(X_78,mult(X_78,ld(X_78,X_78))) = ld(X_78,X_78) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(X_78,mult(X_78,ld(X_78,X_78))),ld(X_78,mult(X_78,ld(X_78,X_78)))) ),[1,1],$fot(X_78)]]) ).

cnf(refute_0_379,plain,
    ( mult(X_78,ld(X_78,X_78)) != X_78
    | ld(X_78,mult(X_78,ld(X_78,X_78))) = ld(X_78,X_78) ),
    inference(resolve,[$cnf( $equal(ld(X_78,mult(X_78,ld(X_78,X_78))),ld(X_78,mult(X_78,ld(X_78,X_78)))) )],[refute_0_377,refute_0_378]) ).

cnf(refute_0_380,plain,
    ld(X_78,mult(X_78,ld(X_78,X_78))) = ld(X_78,X_78),
    inference(resolve,[$cnf( $equal(mult(X_78,ld(X_78,X_78)),X_78) )],[refute_0_376,refute_0_379]) ).

cnf(refute_0_381,plain,
    mult(rd(ld(X_78,X_78),X_78),X_78) = ld(X_78,mult(X_78,ld(X_78,X_78))),
    inference(subst,[],[refute_0_159:[bind(A,$fot(X_78)),bind(B,$fot(X_78))]]) ).

cnf(refute_0_382,plain,
    ( ld(X_78,mult(X_78,ld(X_78,X_78))) != ld(X_78,X_78)
    | mult(rd(ld(X_78,X_78),X_78),X_78) != ld(X_78,mult(X_78,ld(X_78,X_78)))
    | mult(rd(ld(X_78,X_78),X_78),X_78) = ld(X_78,X_78) ),
    inference(subst,[],[refute_0_38:[bind(X,$fot(mult(rd(ld(X_78,X_78),X_78),X_78))),bind(Y,$fot(ld(X_78,mult(X_78,ld(X_78,X_78))))),bind(Z,$fot(ld(X_78,X_78)))]]) ).

cnf(refute_0_383,plain,
    ( ld(X_78,mult(X_78,ld(X_78,X_78))) != ld(X_78,X_78)
    | mult(rd(ld(X_78,X_78),X_78),X_78) = ld(X_78,X_78) ),
    inference(resolve,[$cnf( $equal(mult(rd(ld(X_78,X_78),X_78),X_78),ld(X_78,mult(X_78,ld(X_78,X_78)))) )],[refute_0_381,refute_0_382]) ).

cnf(refute_0_384,plain,
    mult(rd(ld(X_78,X_78),X_78),X_78) = ld(X_78,X_78),
    inference(resolve,[$cnf( $equal(ld(X_78,mult(X_78,ld(X_78,X_78))),ld(X_78,X_78)) )],[refute_0_380,refute_0_383]) ).

cnf(refute_0_385,plain,
    mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78)) = mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78)),
    introduced(tautology,[refl,[$fot(mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78)))]]) ).

cnf(refute_0_386,plain,
    ( mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78)) != mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78))
    | mult(rd(ld(X_78,X_78),X_78),X_78) != ld(X_78,X_78)
    | mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78)) = mult(X_76,ld(X_78,X_78)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78)),mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78))) ),[1,1],$fot(ld(X_78,X_78))]]) ).

cnf(refute_0_387,plain,
    ( mult(rd(ld(X_78,X_78),X_78),X_78) != ld(X_78,X_78)
    | mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78)) = mult(X_76,ld(X_78,X_78)) ),
    inference(resolve,[$cnf( $equal(mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78)),mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78))) )],[refute_0_385,refute_0_386]) ).

cnf(refute_0_388,plain,
    mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78)) = mult(X_76,ld(X_78,X_78)),
    inference(resolve,[$cnf( $equal(mult(rd(ld(X_78,X_78),X_78),X_78),ld(X_78,X_78)) )],[refute_0_384,refute_0_387]) ).

cnf(refute_0_389,plain,
    ( mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78)) != mult(X_76,ld(X_78,X_78))
    | mult(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)) != mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78))
    | mult(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)) = mult(X_76,ld(X_78,X_78)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)),mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78))) ),[1],$fot(mult(X_76,ld(X_78,X_78)))]]) ).

cnf(refute_0_390,plain,
    ( mult(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)) != mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78))
    | mult(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)) = mult(X_76,ld(X_78,X_78)) ),
    inference(resolve,[$cnf( $equal(mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78)),mult(X_76,ld(X_78,X_78))) )],[refute_0_388,refute_0_389]) ).

cnf(refute_0_391,plain,
    mult(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)) = mult(X_76,ld(X_78,X_78)),
    inference(resolve,[$cnf( $equal(mult(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)),mult(X_76,mult(rd(ld(X_78,X_78),X_78),X_78))) )],[refute_0_371,refute_0_390]) ).

cnf(refute_0_392,plain,
    mult(rd(X_76,ld(X_78,X_78)),mult(rd(ld(X_78,X_78),X_78),X_78)) = mult(rd(X_76,ld(X_78,X_78)),mult(rd(ld(X_78,X_78),X_78),X_78)),
    introduced(tautology,[refl,[$fot(mult(rd(X_76,ld(X_78,X_78)),mult(rd(ld(X_78,X_78),X_78),X_78)))]]) ).

cnf(refute_0_393,plain,
    ( mult(rd(X_76,ld(X_78,X_78)),mult(rd(ld(X_78,X_78),X_78),X_78)) != mult(rd(X_76,ld(X_78,X_78)),mult(rd(ld(X_78,X_78),X_78),X_78))
    | mult(rd(ld(X_78,X_78),X_78),X_78) != ld(X_78,X_78)
    | mult(rd(X_76,ld(X_78,X_78)),mult(rd(ld(X_78,X_78),X_78),X_78)) = mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_76,ld(X_78,X_78)),mult(rd(ld(X_78,X_78),X_78),X_78)),mult(rd(X_76,ld(X_78,X_78)),mult(rd(ld(X_78,X_78),X_78),X_78))) ),[1,1],$fot(ld(X_78,X_78))]]) ).

cnf(refute_0_394,plain,
    ( mult(rd(ld(X_78,X_78),X_78),X_78) != ld(X_78,X_78)
    | mult(rd(X_76,ld(X_78,X_78)),mult(rd(ld(X_78,X_78),X_78),X_78)) = mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)) ),
    inference(resolve,[$cnf( $equal(mult(rd(X_76,ld(X_78,X_78)),mult(rd(ld(X_78,X_78),X_78),X_78)),mult(rd(X_76,ld(X_78,X_78)),mult(rd(ld(X_78,X_78),X_78),X_78))) )],[refute_0_392,refute_0_393]) ).

cnf(refute_0_395,plain,
    mult(rd(X_76,ld(X_78,X_78)),mult(rd(ld(X_78,X_78),X_78),X_78)) = mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),
    inference(resolve,[$cnf( $equal(mult(rd(ld(X_78,X_78),X_78),X_78),ld(X_78,X_78)) )],[refute_0_384,refute_0_394]) ).

cnf(refute_0_396,plain,
    mult(rd(mult(A,B),rd(C,D)),rd(C,D)) = mult(mult(A,B),ld(D,D)),
    inference(subst,[],[refute_0_277:[bind(X_30,$fot(mult(A,B))),bind(X_61,$fot(C)),bind(X_62,$fot(D))]]) ).

cnf(refute_0_397,plain,
    ( mult(rd(mult(A,B),rd(C,D)),rd(C,D)) != mult(A,mult(rd(B,D),D))
    | mult(rd(mult(A,B),rd(C,D)),rd(C,D)) != mult(mult(A,B),ld(D,D))
    | mult(mult(A,B),ld(D,D)) = mult(A,mult(rd(B,D),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(A,B),rd(C,D)),rd(C,D)),mult(A,mult(rd(B,D),D))) ),[0],$fot(mult(mult(A,B),ld(D,D)))]]) ).

cnf(refute_0_398,plain,
    ( mult(rd(mult(A,B),rd(C,D)),rd(C,D)) != mult(A,mult(rd(B,D),D))
    | mult(mult(A,B),ld(D,D)) = mult(A,mult(rd(B,D),D)) ),
    inference(resolve,[$cnf( $equal(mult(rd(mult(A,B),rd(C,D)),rd(C,D)),mult(mult(A,B),ld(D,D))) )],[refute_0_396,refute_0_397]) ).

cnf(refute_0_399,plain,
    mult(mult(A,B),ld(D,D)) = mult(A,mult(rd(B,D),D)),
    inference(resolve,[$cnf( $equal(mult(rd(mult(A,B),rd(C,D)),rd(C,D)),mult(A,mult(rd(B,D),D))) )],[refute_0_24,refute_0_398]) ).

cnf(refute_0_400,plain,
    mult(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)) = mult(rd(X_76,ld(X_78,X_78)),mult(rd(ld(X_78,X_78),X_78),X_78)),
    inference(subst,[],[refute_0_399:[bind(A,$fot(rd(X_76,ld(X_78,X_78)))),bind(B,$fot(ld(X_78,X_78))),bind(D,$fot(X_78))]]) ).

cnf(refute_0_401,plain,
    ( mult(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)) != mult(rd(X_76,ld(X_78,X_78)),mult(rd(ld(X_78,X_78),X_78),X_78))
    | mult(rd(X_76,ld(X_78,X_78)),mult(rd(ld(X_78,X_78),X_78),X_78)) != mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78))
    | mult(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)) = mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)) ),
    inference(subst,[],[refute_0_38:[bind(X,$fot(mult(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)))),bind(Y,$fot(mult(rd(X_76,ld(X_78,X_78)),mult(rd(ld(X_78,X_78),X_78),X_78)))),bind(Z,$fot(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78))))]]) ).

cnf(refute_0_402,plain,
    ( mult(rd(X_76,ld(X_78,X_78)),mult(rd(ld(X_78,X_78),X_78),X_78)) != mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78))
    | mult(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)) = mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)) ),
    inference(resolve,[$cnf( $equal(mult(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)),mult(rd(X_76,ld(X_78,X_78)),mult(rd(ld(X_78,X_78),X_78),X_78))) )],[refute_0_400,refute_0_401]) ).

cnf(refute_0_403,plain,
    mult(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)) = mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),
    inference(resolve,[$cnf( $equal(mult(rd(X_76,ld(X_78,X_78)),mult(rd(ld(X_78,X_78),X_78),X_78)),mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78))) )],[refute_0_395,refute_0_402]) ).

cnf(refute_0_404,plain,
    ( mult(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)) != mult(X_76,ld(X_78,X_78))
    | mult(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)) != mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78))
    | mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)) = mult(X_76,ld(X_78,X_78)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)),mult(X_76,ld(X_78,X_78))) ),[0],$fot(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)))]]) ).

cnf(refute_0_405,plain,
    ( mult(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)) != mult(X_76,ld(X_78,X_78))
    | mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)) = mult(X_76,ld(X_78,X_78)) ),
    inference(resolve,[$cnf( $equal(mult(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)),mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78))) )],[refute_0_403,refute_0_404]) ).

cnf(refute_0_406,plain,
    mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)) = mult(X_76,ld(X_78,X_78)),
    inference(resolve,[$cnf( $equal(mult(mult(rd(X_76,ld(X_78,X_78)),ld(X_78,X_78)),ld(X_78,X_78)),mult(X_76,ld(X_78,X_78))) )],[refute_0_391,refute_0_405]) ).

cnf(refute_0_407,plain,
    mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13)) = mult(X_77,ld(X_13,X_13)),
    inference(subst,[],[refute_0_406:[bind(X_76,$fot(X_77)),bind(X_78,$fot(X_13))]]) ).

cnf(refute_0_408,plain,
    mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13))) = mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13))),
    introduced(tautology,[refl,[$fot(mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13))))]]) ).

cnf(refute_0_409,plain,
    ( mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13))) != mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13)))
    | mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13)) != mult(X_77,ld(X_13,X_13))
    | mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13))) = mult(X_76,mult(X_77,ld(X_13,X_13))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13))),mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13)))) ),[1,1],$fot(mult(X_77,ld(X_13,X_13)))]]) ).

cnf(refute_0_410,plain,
    ( mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13)) != mult(X_77,ld(X_13,X_13))
    | mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13))) = mult(X_76,mult(X_77,ld(X_13,X_13))) ),
    inference(resolve,[$cnf( $equal(mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13))),mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13)))) )],[refute_0_408,refute_0_409]) ).

cnf(refute_0_411,plain,
    mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13))) = mult(X_76,mult(X_77,ld(X_13,X_13))),
    inference(resolve,[$cnf( $equal(mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13)),mult(X_77,ld(X_13,X_13))) )],[refute_0_407,refute_0_410]) ).

cnf(refute_0_412,plain,
    ( mult(X_76,mult(rd(X_77,X_13),X_13)) != mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13)))
    | mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13))) != mult(X_76,mult(X_77,ld(X_13,X_13)))
    | mult(X_76,mult(rd(X_77,X_13),X_13)) = mult(X_76,mult(X_77,ld(X_13,X_13))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_76,mult(rd(X_77,X_13),X_13)),mult(X_76,mult(X_77,ld(X_13,X_13)))) ),[0],$fot(mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13))))]]) ).

cnf(refute_0_413,plain,
    ( mult(X_76,mult(rd(X_77,X_13),X_13)) != mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13)))
    | mult(X_76,mult(rd(X_77,X_13),X_13)) = mult(X_76,mult(X_77,ld(X_13,X_13))) ),
    inference(resolve,[$cnf( $equal(mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13))),mult(X_76,mult(X_77,ld(X_13,X_13)))) )],[refute_0_411,refute_0_412]) ).

cnf(refute_0_414,plain,
    mult(X_76,mult(rd(X_77,X_13),X_13)) = mult(X_76,mult(X_77,ld(X_13,X_13))),
    inference(resolve,[$cnf( $equal(mult(X_76,mult(rd(X_77,X_13),X_13)),mult(X_76,mult(rd(X_77,ld(X_13,X_13)),ld(X_13,X_13)))) )],[refute_0_364,refute_0_413]) ).

cnf(refute_0_415,plain,
    mult(ld(X_60,X_60),mult(rd(X_60,X_62),X_62)) = mult(ld(X_60,X_60),mult(X_60,ld(X_62,X_62))),
    inference(subst,[],[refute_0_414:[bind(X_13,$fot(X_62)),bind(X_76,$fot(ld(X_60,X_60))),bind(X_77,$fot(X_60))]]) ).

cnf(refute_0_416,plain,
    ( mult(X_60,ld(X_62,X_62)) != mult(ld(X_60,X_60),mult(rd(X_60,X_62),X_62))
    | mult(ld(X_60,X_60),mult(rd(X_60,X_62),X_62)) != mult(ld(X_60,X_60),mult(X_60,ld(X_62,X_62)))
    | mult(X_60,ld(X_62,X_62)) = mult(ld(X_60,X_60),mult(X_60,ld(X_62,X_62))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(mult(X_60,ld(X_62,X_62)),mult(ld(X_60,X_60),mult(X_60,ld(X_62,X_62)))) ),[0],$fot(mult(ld(X_60,X_60),mult(rd(X_60,X_62),X_62)))]]) ).

cnf(refute_0_417,plain,
    ( mult(X_60,ld(X_62,X_62)) != mult(ld(X_60,X_60),mult(rd(X_60,X_62),X_62))
    | mult(X_60,ld(X_62,X_62)) = mult(ld(X_60,X_60),mult(X_60,ld(X_62,X_62))) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_60,X_60),mult(rd(X_60,X_62),X_62)),mult(ld(X_60,X_60),mult(X_60,ld(X_62,X_62)))) )],[refute_0_415,refute_0_416]) ).

cnf(refute_0_418,plain,
    ( mult(rd(X_60,rd(X_61,X_62)),rd(X_61,X_62)) != mult(ld(X_60,X_60),mult(rd(X_60,X_62),X_62))
    | mult(X_60,ld(X_62,X_62)) = mult(ld(X_60,X_60),mult(X_60,ld(X_62,X_62))) ),
    inference(resolve,[$cnf( $equal(mult(X_60,ld(X_62,X_62)),mult(ld(X_60,X_60),mult(rd(X_60,X_62),X_62))) )],[refute_0_280,refute_0_417]) ).

cnf(refute_0_419,plain,
    mult(X_60,ld(X_62,X_62)) = mult(ld(X_60,X_60),mult(X_60,ld(X_62,X_62))),
    inference(resolve,[$cnf( $equal(mult(rd(X_60,rd(X_61,X_62)),rd(X_61,X_62)),mult(ld(X_60,X_60),mult(rd(X_60,X_62),X_62))) )],[refute_0_72,refute_0_418]) ).

cnf(refute_0_420,plain,
    ( mult(X_60,ld(X_62,X_62)) != mult(ld(X_60,X_60),mult(X_60,ld(X_62,X_62)))
    | mult(ld(X_60,X_60),mult(X_60,ld(X_62,X_62))) = mult(X_60,ld(X_62,X_62)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(mult(X_60,ld(X_62,X_62)))),bind(Y,$fot(mult(ld(X_60,X_60),mult(X_60,ld(X_62,X_62)))))]]) ).

cnf(refute_0_421,plain,
    mult(ld(X_60,X_60),mult(X_60,ld(X_62,X_62))) = mult(X_60,ld(X_62,X_62)),
    inference(resolve,[$cnf( $equal(mult(X_60,ld(X_62,X_62)),mult(ld(X_60,X_60),mult(X_60,ld(X_62,X_62)))) )],[refute_0_419,refute_0_420]) ).

cnf(refute_0_422,plain,
    mult(ld(x6,x6),mult(x6,ld(x8,x8))) = mult(x6,ld(x8,x8)),
    inference(subst,[],[refute_0_421:[bind(X_60,$fot(x6)),bind(X_62,$fot(x8))]]) ).

cnf(refute_0_423,plain,
    mult(ld(x6,x6),mult(rd(x6,x8),x8)) = mult(ld(x6,x6),mult(x6,ld(x8,x8))),
    inference(subst,[],[refute_0_414:[bind(X_13,$fot(x8)),bind(X_76,$fot(ld(x6,x6))),bind(X_77,$fot(x6))]]) ).

cnf(refute_0_424,plain,
    ( mult(ld(x6,x6),mult(rd(x6,x8),x8)) != mult(ld(x6,x6),mult(x6,ld(x8,x8)))
    | mult(ld(x6,x6),mult(x6,ld(x8,x8))) != mult(x6,ld(x8,x8))
    | mult(ld(x6,x6),mult(rd(x6,x8),x8)) = mult(x6,ld(x8,x8)) ),
    inference(subst,[],[refute_0_38:[bind(X,$fot(mult(ld(x6,x6),mult(rd(x6,x8),x8)))),bind(Y,$fot(mult(ld(x6,x6),mult(x6,ld(x8,x8))))),bind(Z,$fot(mult(x6,ld(x8,x8))))]]) ).

cnf(refute_0_425,plain,
    ( mult(ld(x6,x6),mult(x6,ld(x8,x8))) != mult(x6,ld(x8,x8))
    | mult(ld(x6,x6),mult(rd(x6,x8),x8)) = mult(x6,ld(x8,x8)) ),
    inference(resolve,[$cnf( $equal(mult(ld(x6,x6),mult(rd(x6,x8),x8)),mult(ld(x6,x6),mult(x6,ld(x8,x8)))) )],[refute_0_423,refute_0_424]) ).

cnf(refute_0_426,plain,
    mult(ld(x6,x6),mult(rd(x6,x8),x8)) = mult(x6,ld(x8,x8)),
    inference(resolve,[$cnf( $equal(mult(ld(x6,x6),mult(x6,ld(x8,x8))),mult(x6,ld(x8,x8))) )],[refute_0_422,refute_0_425]) ).

cnf(refute_0_427,plain,
    ( mult(ld(x6,x6),mult(rd(x6,x8),x8)) != mult(x6,ld(x8,x8))
    | mult(x6,ld(x8,x8)) != mult(rd(x6,x8),x8)
    | mult(ld(x6,x6),mult(rd(x6,x8),x8)) = mult(rd(x6,x8),x8) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(mult(ld(x6,x6),mult(rd(x6,x8),x8)),mult(rd(x6,x8),x8)) ),[0],$fot(mult(x6,ld(x8,x8)))]]) ).

cnf(refute_0_428,plain,
    ( mult(x6,ld(x8,x8)) != mult(rd(x6,x8),x8)
    | mult(ld(x6,x6),mult(rd(x6,x8),x8)) = mult(rd(x6,x8),x8) ),
    inference(resolve,[$cnf( $equal(mult(ld(x6,x6),mult(rd(x6,x8),x8)),mult(x6,ld(x8,x8))) )],[refute_0_426,refute_0_427]) ).

cnf(refute_0_429,plain,
    mult(x6,ld(x8,x8)) != mult(rd(x6,x8),x8),
    inference(resolve,[$cnf( $equal(mult(ld(x6,x6),mult(rd(x6,x8),x8)),mult(rd(x6,x8),x8)) )],[refute_0_428,refute_0_76]) ).

cnf(refute_0_430,plain,
    mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),rd(mult(A,X_62),X_62)) = mult(X_59,mult(rd(X_60,X_62),X_62)),
    inference(subst,[],[refute_0_24:[bind(A,$fot(X_59)),bind(B,$fot(X_60)),bind(C,$fot(mult(A,X_62))),bind(D,$fot(X_62))]]) ).

cnf(refute_0_431,plain,
    mult(rd(A,X_62),X_62) = rd(mult(A,X_62),X_62),
    inference(subst,[],[f04:[bind(B,$fot(X_62))]]) ).

cnf(refute_0_432,plain,
    ( mult(rd(A,X_62),X_62) != rd(mult(A,X_62),X_62)
    | rd(mult(A,X_62),X_62) = mult(rd(A,X_62),X_62) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(mult(rd(A,X_62),X_62))),bind(Y,$fot(rd(mult(A,X_62),X_62)))]]) ).

cnf(refute_0_433,plain,
    rd(mult(A,X_62),X_62) = mult(rd(A,X_62),X_62),
    inference(resolve,[$cnf( $equal(mult(rd(A,X_62),X_62),rd(mult(A,X_62),X_62)) )],[refute_0_431,refute_0_432]) ).

cnf(refute_0_434,plain,
    ( mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),rd(mult(A,X_62),X_62)) != mult(X_59,mult(rd(X_60,X_62),X_62))
    | rd(mult(A,X_62),X_62) != mult(rd(A,X_62),X_62)
    | mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),mult(rd(A,X_62),X_62)) = mult(X_59,mult(rd(X_60,X_62),X_62)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),rd(mult(A,X_62),X_62)),mult(X_59,mult(rd(X_60,X_62),X_62))) ),[0,1],$fot(mult(rd(A,X_62),X_62))]]) ).

cnf(refute_0_435,plain,
    ( mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),rd(mult(A,X_62),X_62)) != mult(X_59,mult(rd(X_60,X_62),X_62))
    | mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),mult(rd(A,X_62),X_62)) = mult(X_59,mult(rd(X_60,X_62),X_62)) ),
    inference(resolve,[$cnf( $equal(rd(mult(A,X_62),X_62),mult(rd(A,X_62),X_62)) )],[refute_0_433,refute_0_434]) ).

cnf(refute_0_436,plain,
    mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),mult(rd(A,X_62),X_62)) = mult(X_59,mult(rd(X_60,X_62),X_62)),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),rd(mult(A,X_62),X_62)),mult(X_59,mult(rd(X_60,X_62),X_62))) )],[refute_0_430,refute_0_435]) ).

cnf(refute_0_437,plain,
    rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)) = rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),
    introduced(tautology,[refl,[$fot(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)))]]) ).

cnf(refute_0_438,plain,
    ( rd(mult(A,X_62),X_62) != mult(rd(A,X_62),X_62)
    | rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)) != rd(mult(X_59,X_60),rd(mult(A,X_62),X_62))
    | rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)) = rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),rd(mult(X_59,X_60),rd(mult(A,X_62),X_62))) ),[1,1],$fot(mult(rd(A,X_62),X_62))]]) ).

cnf(refute_0_439,plain,
    ( rd(mult(A,X_62),X_62) != mult(rd(A,X_62),X_62)
    | rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)) = rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),rd(mult(X_59,X_60),rd(mult(A,X_62),X_62))) )],[refute_0_437,refute_0_438]) ).

cnf(refute_0_440,plain,
    rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)) = rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),
    inference(resolve,[$cnf( $equal(rd(mult(A,X_62),X_62),mult(rd(A,X_62),X_62)) )],[refute_0_433,refute_0_439]) ).

cnf(refute_0_441,plain,
    mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),mult(rd(A,X_62),X_62)) = mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),mult(rd(A,X_62),X_62)),
    introduced(tautology,[refl,[$fot(mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),mult(rd(A,X_62),X_62)))]]) ).

cnf(refute_0_442,plain,
    ( mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),mult(rd(A,X_62),X_62)) != mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),mult(rd(A,X_62),X_62))
    | rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)) != rd(mult(X_59,X_60),mult(rd(A,X_62),X_62))
    | mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),mult(rd(A,X_62),X_62)) = mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(rd(A,X_62),X_62)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),mult(rd(A,X_62),X_62)),mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),mult(rd(A,X_62),X_62))) ),[1,0],$fot(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)))]]) ).

cnf(refute_0_443,plain,
    ( rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)) != rd(mult(X_59,X_60),mult(rd(A,X_62),X_62))
    | mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),mult(rd(A,X_62),X_62)) = mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(rd(A,X_62),X_62)) ),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),mult(rd(A,X_62),X_62)),mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),mult(rd(A,X_62),X_62))) )],[refute_0_441,refute_0_442]) ).

cnf(refute_0_444,plain,
    mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),mult(rd(A,X_62),X_62)) = mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(rd(A,X_62),X_62)),
    inference(resolve,[$cnf( $equal(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),rd(mult(X_59,X_60),mult(rd(A,X_62),X_62))) )],[refute_0_440,refute_0_443]) ).

cnf(refute_0_445,plain,
    ( mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),mult(rd(A,X_62),X_62)) != mult(X_59,mult(rd(X_60,X_62),X_62))
    | mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),mult(rd(A,X_62),X_62)) != mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(rd(A,X_62),X_62))
    | mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(rd(A,X_62),X_62)) = mult(X_59,mult(rd(X_60,X_62),X_62)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),mult(rd(A,X_62),X_62)),mult(X_59,mult(rd(X_60,X_62),X_62))) ),[0],$fot(mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(rd(A,X_62),X_62)))]]) ).

cnf(refute_0_446,plain,
    ( mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),mult(rd(A,X_62),X_62)) != mult(X_59,mult(rd(X_60,X_62),X_62))
    | mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(rd(A,X_62),X_62)) = mult(X_59,mult(rd(X_60,X_62),X_62)) ),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),mult(rd(A,X_62),X_62)),mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(rd(A,X_62),X_62))) )],[refute_0_444,refute_0_445]) ).

cnf(refute_0_447,plain,
    mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(rd(A,X_62),X_62)) = mult(X_59,mult(rd(X_60,X_62),X_62)),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_59,X_60),rd(mult(A,X_62),X_62)),mult(rd(A,X_62),X_62)),mult(X_59,mult(rd(X_60,X_62),X_62))) )],[refute_0_436,refute_0_446]) ).

cnf(refute_0_448,plain,
    mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(rd(A,X_62),X_62)) = mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(A,ld(X_62,X_62))),
    inference(subst,[],[refute_0_414:[bind(X_13,$fot(X_62)),bind(X_76,$fot(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)))),bind(X_77,$fot(A))]]) ).

cnf(refute_0_449,plain,
    ( mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(rd(A,X_62),X_62)) != mult(X_59,mult(rd(X_60,X_62),X_62))
    | mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(rd(A,X_62),X_62)) != mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(A,ld(X_62,X_62)))
    | mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(A,ld(X_62,X_62))) = mult(X_59,mult(rd(X_60,X_62),X_62)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(rd(A,X_62),X_62)),mult(X_59,mult(rd(X_60,X_62),X_62))) ),[0],$fot(mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(A,ld(X_62,X_62))))]]) ).

cnf(refute_0_450,plain,
    ( mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(rd(A,X_62),X_62)) != mult(X_59,mult(rd(X_60,X_62),X_62))
    | mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(A,ld(X_62,X_62))) = mult(X_59,mult(rd(X_60,X_62),X_62)) ),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(rd(A,X_62),X_62)),mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(A,ld(X_62,X_62)))) )],[refute_0_448,refute_0_449]) ).

cnf(refute_0_451,plain,
    mult(X_59,mult(rd(X_60,X_62),X_62)) = mult(X_59,mult(X_60,ld(X_62,X_62))),
    inference(subst,[],[refute_0_414:[bind(X_13,$fot(X_62)),bind(X_76,$fot(X_59)),bind(X_77,$fot(X_60))]]) ).

cnf(refute_0_452,plain,
    ( mult(X_59,mult(rd(X_60,X_62),X_62)) != mult(X_59,mult(X_60,ld(X_62,X_62)))
    | mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(A,ld(X_62,X_62))) != mult(X_59,mult(rd(X_60,X_62),X_62))
    | mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(A,ld(X_62,X_62))) = mult(X_59,mult(X_60,ld(X_62,X_62))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(A,ld(X_62,X_62))),mult(X_59,mult(rd(X_60,X_62),X_62))) ),[1],$fot(mult(X_59,mult(X_60,ld(X_62,X_62))))]]) ).

cnf(refute_0_453,plain,
    ( mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(A,ld(X_62,X_62))) != mult(X_59,mult(rd(X_60,X_62),X_62))
    | mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(A,ld(X_62,X_62))) = mult(X_59,mult(X_60,ld(X_62,X_62))) ),
    inference(resolve,[$cnf( $equal(mult(X_59,mult(rd(X_60,X_62),X_62)),mult(X_59,mult(X_60,ld(X_62,X_62)))) )],[refute_0_451,refute_0_452]) ).

cnf(refute_0_454,plain,
    ( mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(rd(A,X_62),X_62)) != mult(X_59,mult(rd(X_60,X_62),X_62))
    | mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(A,ld(X_62,X_62))) = mult(X_59,mult(X_60,ld(X_62,X_62))) ),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(A,ld(X_62,X_62))),mult(X_59,mult(rd(X_60,X_62),X_62))) )],[refute_0_450,refute_0_453]) ).

cnf(refute_0_455,plain,
    mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(A,ld(X_62,X_62))) = mult(X_59,mult(X_60,ld(X_62,X_62))),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_59,X_60),mult(rd(A,X_62),X_62)),mult(rd(A,X_62),X_62)),mult(X_59,mult(rd(X_60,X_62),X_62))) )],[refute_0_447,refute_0_454]) ).

cnf(refute_0_456,plain,
    mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),mult(X_124,ld(X_124,X_124))) = mult(X_122,mult(X_123,ld(X_124,X_124))),
    inference(subst,[],[refute_0_455:[bind(A,$fot(X_124)),bind(X_59,$fot(X_122)),bind(X_60,$fot(X_123)),bind(X_62,$fot(X_124))]]) ).

cnf(refute_0_457,plain,
    mult(X_124,ld(X_124,X_124)) = ld(X_124,mult(X_124,X_124)),
    inference(subst,[],[f03:[bind(A,$fot(X_124)),bind(B,$fot(X_124))]]) ).

cnf(refute_0_458,plain,
    ( mult(X_124,ld(X_124,X_124)) != ld(X_124,mult(X_124,X_124))
    | mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),mult(X_124,ld(X_124,X_124))) != mult(X_122,mult(X_123,ld(X_124,X_124)))
    | mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))) = mult(X_122,mult(X_123,ld(X_124,X_124))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),mult(X_124,ld(X_124,X_124))),mult(X_122,mult(X_123,ld(X_124,X_124)))) ),[0,1],$fot(ld(X_124,mult(X_124,X_124)))]]) ).

cnf(refute_0_459,plain,
    ( mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),mult(X_124,ld(X_124,X_124))) != mult(X_122,mult(X_123,ld(X_124,X_124)))
    | mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))) = mult(X_122,mult(X_123,ld(X_124,X_124))) ),
    inference(resolve,[$cnf( $equal(mult(X_124,ld(X_124,X_124)),ld(X_124,mult(X_124,X_124))) )],[refute_0_457,refute_0_458]) ).

cnf(refute_0_460,plain,
    mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))) = mult(X_122,mult(X_123,ld(X_124,X_124))),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),mult(X_124,ld(X_124,X_124))),mult(X_122,mult(X_123,ld(X_124,X_124)))) )],[refute_0_456,refute_0_459]) ).

cnf(refute_0_461,plain,
    ld(X_124,mult(X_124,X_124)) = X_124,
    inference(subst,[],[f01:[bind(A,$fot(X_124))]]) ).

cnf(refute_0_462,plain,
    mult(rd(mult(X_122,X_123),X_124),ld(X_124,mult(X_124,X_124))) = mult(rd(mult(X_122,X_123),X_124),ld(X_124,mult(X_124,X_124))),
    introduced(tautology,[refl,[$fot(mult(rd(mult(X_122,X_123),X_124),ld(X_124,mult(X_124,X_124))))]]) ).

cnf(refute_0_463,plain,
    ( ld(X_124,mult(X_124,X_124)) != X_124
    | mult(rd(mult(X_122,X_123),X_124),ld(X_124,mult(X_124,X_124))) != mult(rd(mult(X_122,X_123),X_124),ld(X_124,mult(X_124,X_124)))
    | mult(rd(mult(X_122,X_123),X_124),ld(X_124,mult(X_124,X_124))) = mult(rd(mult(X_122,X_123),X_124),X_124) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_122,X_123),X_124),ld(X_124,mult(X_124,X_124))),mult(rd(mult(X_122,X_123),X_124),ld(X_124,mult(X_124,X_124)))) ),[1,1],$fot(X_124)]]) ).

cnf(refute_0_464,plain,
    ( ld(X_124,mult(X_124,X_124)) != X_124
    | mult(rd(mult(X_122,X_123),X_124),ld(X_124,mult(X_124,X_124))) = mult(rd(mult(X_122,X_123),X_124),X_124) ),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_122,X_123),X_124),ld(X_124,mult(X_124,X_124))),mult(rd(mult(X_122,X_123),X_124),ld(X_124,mult(X_124,X_124)))) )],[refute_0_462,refute_0_463]) ).

cnf(refute_0_465,plain,
    mult(rd(mult(X_122,X_123),X_124),ld(X_124,mult(X_124,X_124))) = mult(rd(mult(X_122,X_123),X_124),X_124),
    inference(resolve,[$cnf( $equal(ld(X_124,mult(X_124,X_124)),X_124) )],[refute_0_461,refute_0_464]) ).

cnf(refute_0_466,plain,
    mult(ld(X_124,X_124),X_124) = X_124,
    inference(subst,[],[refute_0_68:[bind(A,$fot(X_124))]]) ).

cnf(refute_0_467,plain,
    rd(X_124,X_124) = ld(X_124,X_124),
    inference(subst,[],[refute_0_60:[bind(X_3,$fot(X_124))]]) ).

cnf(refute_0_468,plain,
    mult(rd(X_124,X_124),X_124) = mult(rd(X_124,X_124),X_124),
    introduced(tautology,[refl,[$fot(mult(rd(X_124,X_124),X_124))]]) ).

cnf(refute_0_469,plain,
    ( mult(rd(X_124,X_124),X_124) != mult(rd(X_124,X_124),X_124)
    | rd(X_124,X_124) != ld(X_124,X_124)
    | mult(rd(X_124,X_124),X_124) = mult(ld(X_124,X_124),X_124) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_124,X_124),X_124),mult(rd(X_124,X_124),X_124)) ),[1,0],$fot(ld(X_124,X_124))]]) ).

cnf(refute_0_470,plain,
    ( rd(X_124,X_124) != ld(X_124,X_124)
    | mult(rd(X_124,X_124),X_124) = mult(ld(X_124,X_124),X_124) ),
    inference(resolve,[$cnf( $equal(mult(rd(X_124,X_124),X_124),mult(rd(X_124,X_124),X_124)) )],[refute_0_468,refute_0_469]) ).

cnf(refute_0_471,plain,
    mult(rd(X_124,X_124),X_124) = mult(ld(X_124,X_124),X_124),
    inference(resolve,[$cnf( $equal(rd(X_124,X_124),ld(X_124,X_124)) )],[refute_0_467,refute_0_470]) ).

cnf(refute_0_472,plain,
    ( mult(ld(X_124,X_124),X_124) != X_124
    | mult(rd(X_124,X_124),X_124) != mult(ld(X_124,X_124),X_124)
    | mult(rd(X_124,X_124),X_124) = X_124 ),
    inference(subst,[],[refute_0_38:[bind(X,$fot(mult(rd(X_124,X_124),X_124))),bind(Y,$fot(mult(ld(X_124,X_124),X_124))),bind(Z,$fot(X_124))]]) ).

cnf(refute_0_473,plain,
    ( mult(ld(X_124,X_124),X_124) != X_124
    | mult(rd(X_124,X_124),X_124) = X_124 ),
    inference(resolve,[$cnf( $equal(mult(rd(X_124,X_124),X_124),mult(ld(X_124,X_124),X_124)) )],[refute_0_471,refute_0_472]) ).

cnf(refute_0_474,plain,
    mult(rd(X_124,X_124),X_124) = X_124,
    inference(resolve,[$cnf( $equal(mult(ld(X_124,X_124),X_124),X_124) )],[refute_0_466,refute_0_473]) ).

cnf(refute_0_475,plain,
    rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)) = rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),
    introduced(tautology,[refl,[$fot(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)))]]) ).

cnf(refute_0_476,plain,
    ( mult(rd(X_124,X_124),X_124) != X_124
    | rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)) != rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124))
    | rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)) = rd(mult(X_122,X_123),X_124) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124))) ),[1,1],$fot(X_124)]]) ).

cnf(refute_0_477,plain,
    ( mult(rd(X_124,X_124),X_124) != X_124
    | rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)) = rd(mult(X_122,X_123),X_124) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124))) )],[refute_0_475,refute_0_476]) ).

cnf(refute_0_478,plain,
    rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)) = rd(mult(X_122,X_123),X_124),
    inference(resolve,[$cnf( $equal(mult(rd(X_124,X_124),X_124),X_124) )],[refute_0_474,refute_0_477]) ).

cnf(refute_0_479,plain,
    mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))) = mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))),
    introduced(tautology,[refl,[$fot(mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))))]]) ).

cnf(refute_0_480,plain,
    ( mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))) != mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124)))
    | rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)) != rd(mult(X_122,X_123),X_124)
    | mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))) = mult(rd(mult(X_122,X_123),X_124),ld(X_124,mult(X_124,X_124))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))),mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124)))) ),[1,0],$fot(rd(mult(X_122,X_123),X_124))]]) ).

cnf(refute_0_481,plain,
    ( rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)) != rd(mult(X_122,X_123),X_124)
    | mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))) = mult(rd(mult(X_122,X_123),X_124),ld(X_124,mult(X_124,X_124))) ),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))),mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124)))) )],[refute_0_479,refute_0_480]) ).

cnf(refute_0_482,plain,
    mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))) = mult(rd(mult(X_122,X_123),X_124),ld(X_124,mult(X_124,X_124))),
    inference(resolve,[$cnf( $equal(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),rd(mult(X_122,X_123),X_124)) )],[refute_0_478,refute_0_481]) ).

cnf(refute_0_483,plain,
    ( mult(rd(mult(X_122,X_123),X_124),ld(X_124,mult(X_124,X_124))) != mult(rd(mult(X_122,X_123),X_124),X_124)
    | mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))) != mult(rd(mult(X_122,X_123),X_124),ld(X_124,mult(X_124,X_124)))
    | mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))) = mult(rd(mult(X_122,X_123),X_124),X_124) ),
    inference(subst,[],[refute_0_38:[bind(X,$fot(mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))))),bind(Y,$fot(mult(rd(mult(X_122,X_123),X_124),ld(X_124,mult(X_124,X_124))))),bind(Z,$fot(mult(rd(mult(X_122,X_123),X_124),X_124)))]]) ).

cnf(refute_0_484,plain,
    ( mult(rd(mult(X_122,X_123),X_124),ld(X_124,mult(X_124,X_124))) != mult(rd(mult(X_122,X_123),X_124),X_124)
    | mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))) = mult(rd(mult(X_122,X_123),X_124),X_124) ),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))),mult(rd(mult(X_122,X_123),X_124),ld(X_124,mult(X_124,X_124)))) )],[refute_0_482,refute_0_483]) ).

cnf(refute_0_485,plain,
    mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))) = mult(rd(mult(X_122,X_123),X_124),X_124),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_122,X_123),X_124),ld(X_124,mult(X_124,X_124))),mult(rd(mult(X_122,X_123),X_124),X_124)) )],[refute_0_465,refute_0_484]) ).

cnf(refute_0_486,plain,
    ( mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))) != mult(X_122,mult(X_123,ld(X_124,X_124)))
    | mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))) != mult(rd(mult(X_122,X_123),X_124),X_124)
    | mult(rd(mult(X_122,X_123),X_124),X_124) = mult(X_122,mult(X_123,ld(X_124,X_124))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))),mult(X_122,mult(X_123,ld(X_124,X_124)))) ),[0],$fot(mult(rd(mult(X_122,X_123),X_124),X_124))]]) ).

cnf(refute_0_487,plain,
    ( mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))) != mult(X_122,mult(X_123,ld(X_124,X_124)))
    | mult(rd(mult(X_122,X_123),X_124),X_124) = mult(X_122,mult(X_123,ld(X_124,X_124))) ),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))),mult(rd(mult(X_122,X_123),X_124),X_124)) )],[refute_0_485,refute_0_486]) ).

cnf(refute_0_488,plain,
    mult(rd(mult(X_122,X_123),X_124),X_124) = mult(X_122,mult(X_123,ld(X_124,X_124))),
    inference(resolve,[$cnf( $equal(mult(rd(mult(X_122,X_123),mult(rd(X_124,X_124),X_124)),ld(X_124,mult(X_124,X_124))),mult(X_122,mult(X_123,ld(X_124,X_124)))) )],[refute_0_460,refute_0_487]) ).

cnf(refute_0_489,plain,
    mult(rd(mult(ld(X_126,X_126),X_126),X_127),X_127) = mult(ld(X_126,X_126),mult(X_126,ld(X_127,X_127))),
    inference(subst,[],[refute_0_488:[bind(X_122,$fot(ld(X_126,X_126))),bind(X_123,$fot(X_126)),bind(X_124,$fot(X_127))]]) ).

cnf(refute_0_490,plain,
    mult(ld(X_126,X_126),X_126) = X_126,
    inference(subst,[],[refute_0_68:[bind(A,$fot(X_126))]]) ).

cnf(refute_0_491,plain,
    ( mult(ld(X_126,X_126),X_126) != X_126
    | mult(rd(mult(ld(X_126,X_126),X_126),X_127),X_127) != mult(ld(X_126,X_126),mult(X_126,ld(X_127,X_127)))
    | mult(rd(X_126,X_127),X_127) = mult(ld(X_126,X_126),mult(X_126,ld(X_127,X_127))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(mult(ld(X_126,X_126),X_126),X_127),X_127),mult(ld(X_126,X_126),mult(X_126,ld(X_127,X_127)))) ),[0,0,0],$fot(X_126)]]) ).

cnf(refute_0_492,plain,
    ( mult(rd(mult(ld(X_126,X_126),X_126),X_127),X_127) != mult(ld(X_126,X_126),mult(X_126,ld(X_127,X_127)))
    | mult(rd(X_126,X_127),X_127) = mult(ld(X_126,X_126),mult(X_126,ld(X_127,X_127))) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_126,X_126),X_126),X_126) )],[refute_0_490,refute_0_491]) ).

cnf(refute_0_493,plain,
    mult(rd(X_126,X_127),X_127) = mult(ld(X_126,X_126),mult(X_126,ld(X_127,X_127))),
    inference(resolve,[$cnf( $equal(mult(rd(mult(ld(X_126,X_126),X_126),X_127),X_127),mult(ld(X_126,X_126),mult(X_126,ld(X_127,X_127)))) )],[refute_0_489,refute_0_492]) ).

cnf(refute_0_494,plain,
    mult(ld(X_126,X_126),mult(X_126,ld(X_127,X_127))) = mult(X_126,ld(X_127,X_127)),
    inference(subst,[],[refute_0_421:[bind(X_60,$fot(X_126)),bind(X_62,$fot(X_127))]]) ).

cnf(refute_0_495,plain,
    ( mult(ld(X_126,X_126),mult(X_126,ld(X_127,X_127))) != mult(X_126,ld(X_127,X_127))
    | mult(rd(X_126,X_127),X_127) != mult(ld(X_126,X_126),mult(X_126,ld(X_127,X_127)))
    | mult(rd(X_126,X_127),X_127) = mult(X_126,ld(X_127,X_127)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_126,X_127),X_127),mult(ld(X_126,X_126),mult(X_126,ld(X_127,X_127)))) ),[1],$fot(mult(X_126,ld(X_127,X_127)))]]) ).

cnf(refute_0_496,plain,
    ( mult(rd(X_126,X_127),X_127) != mult(ld(X_126,X_126),mult(X_126,ld(X_127,X_127)))
    | mult(rd(X_126,X_127),X_127) = mult(X_126,ld(X_127,X_127)) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_126,X_126),mult(X_126,ld(X_127,X_127))),mult(X_126,ld(X_127,X_127))) )],[refute_0_494,refute_0_495]) ).

cnf(refute_0_497,plain,
    mult(rd(X_126,X_127),X_127) = mult(X_126,ld(X_127,X_127)),
    inference(resolve,[$cnf( $equal(mult(rd(X_126,X_127),X_127),mult(ld(X_126,X_126),mult(X_126,ld(X_127,X_127)))) )],[refute_0_493,refute_0_496]) ).

cnf(refute_0_498,plain,
    mult(rd(x6,x8),x8) = mult(x6,ld(x8,x8)),
    inference(subst,[],[refute_0_497:[bind(X_126,$fot(x6)),bind(X_127,$fot(x8))]]) ).

cnf(refute_0_499,plain,
    ( mult(rd(x6,x8),x8) != mult(x6,ld(x8,x8))
    | mult(x6,ld(x8,x8)) != mult(x6,ld(x8,x8))
    | mult(x6,ld(x8,x8)) = mult(rd(x6,x8),x8) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(mult(x6,ld(x8,x8)),mult(rd(x6,x8),x8)) ),[1],$fot(mult(x6,ld(x8,x8)))]]) ).

cnf(refute_0_500,plain,
    ( mult(x6,ld(x8,x8)) != mult(x6,ld(x8,x8))
    | mult(x6,ld(x8,x8)) = mult(rd(x6,x8),x8) ),
    inference(resolve,[$cnf( $equal(mult(rd(x6,x8),x8),mult(x6,ld(x8,x8))) )],[refute_0_498,refute_0_499]) ).

cnf(refute_0_501,plain,
    mult(x6,ld(x8,x8)) != mult(x6,ld(x8,x8)),
    inference(resolve,[$cnf( $equal(mult(x6,ld(x8,x8)),mult(rd(x6,x8),x8)) )],[refute_0_500,refute_0_429]) ).

cnf(refute_0_502,plain,
    mult(x6,ld(x8,x8)) = mult(x6,ld(x8,x8)),
    introduced(tautology,[refl,[$fot(mult(x6,ld(x8,x8)))]]) ).

cnf(refute_0_503,plain,
    $false,
    inference(resolve,[$cnf( $equal(mult(x6,ld(x8,x8)),mult(x6,ld(x8,x8))) )],[refute_0_502,refute_0_501]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP685-11 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.14  % Command  : metis --show proof --show saturation %s
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue Jun 14 11:53:43 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.68/0.89  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/0.89  
% 0.68/0.89  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.78/0.96  
%------------------------------------------------------------------------------