TSTP Solution File: GRP659+1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP659+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 10:44:37 EDT 2022

% Result   : Theorem 1.15s 1.35s
% Output   : CNFRefutation 1.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   70
%            Number of leaves      :   98
% Syntax   : Number of formulae    :  400 ( 213 unt;   0 def)
%            Number of atoms       :  665 ( 664 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  536 ( 271   ~; 262   |;   3   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   0 con; 1-2 aty)
%            Number of variables   :  783 (   0 sgn  39   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f01,axiom,
    ! [B,A] : mult(A,ld(A,B)) = B ).

fof(f02,axiom,
    ! [B,A] : ld(A,mult(A,B)) = B ).

fof(f03,axiom,
    ! [B,A] : mult(rd(A,B),B) = A ).

fof(f04,axiom,
    ! [B,A] : rd(mult(A,B),B) = A ).

fof(f05,axiom,
    ! [C,B,A] : mult(mult(A,mult(B,C)),B) = mult(mult(A,B),mult(C,B)) ).

fof(goals,conjecture,
    ? [X0] :
    ! [X1] :
      ( mult(X1,X0) = X1
      & mult(X0,X1) = X1 ) ).

fof(subgoal_0,plain,
    ? [X0] :
    ! [X1] :
      ( mult(X1,X0) = X1
      & mult(X0,X1) = X1 ),
    inference(strip,[],[goals]) ).

fof(negate_0_0,plain,
    ~ ? [X0] :
      ! [X1] :
        ( mult(X1,X0) = X1
        & mult(X0,X1) = X1 ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ! [X0] :
      ( ? [X1] : mult(X0,X1) != X1
      | ? [X1] : mult(X1,X0) != X1 ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ! [X0] :
      ( ? [X1] : mult(X0,X1) != X1
      | ? [X1] : mult(X1,X0) != X1 ),
    inference(specialize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [X0] :
      ( mult(X0,skolemFOFtoCNF_X1(X0)) != skolemFOFtoCNF_X1(X0)
      | mult(skolemFOFtoCNF_X1_1(X0),X0) != skolemFOFtoCNF_X1_1(X0) ),
    inference(clausify,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [A,B] : rd(mult(A,B),B) = A,
    inference(canonicalize,[],[f04]) ).

fof(normalize_0_4,plain,
    ! [A,B] : rd(mult(A,B),B) = A,
    inference(specialize,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [A,B] : mult(A,ld(A,B)) = B,
    inference(canonicalize,[],[f01]) ).

fof(normalize_0_6,plain,
    ! [A,B] : mult(A,ld(A,B)) = B,
    inference(specialize,[],[normalize_0_5]) ).

fof(normalize_0_7,plain,
    ! [A,B] : ld(A,mult(A,B)) = B,
    inference(canonicalize,[],[f02]) ).

fof(normalize_0_8,plain,
    ! [A,B] : ld(A,mult(A,B)) = B,
    inference(specialize,[],[normalize_0_7]) ).

fof(normalize_0_9,plain,
    ! [A,B,C] : mult(mult(A,mult(B,C)),B) = mult(mult(A,B),mult(C,B)),
    inference(canonicalize,[],[f05]) ).

fof(normalize_0_10,plain,
    ! [A,B,C] : mult(mult(A,mult(B,C)),B) = mult(mult(A,B),mult(C,B)),
    inference(specialize,[],[normalize_0_9]) ).

fof(normalize_0_11,plain,
    ! [A,B] : mult(rd(A,B),B) = A,
    inference(canonicalize,[],[f03]) ).

fof(normalize_0_12,plain,
    ! [A,B] : mult(rd(A,B),B) = A,
    inference(specialize,[],[normalize_0_11]) ).

cnf(refute_0_0,plain,
    ( mult(X0,skolemFOFtoCNF_X1(X0)) != skolemFOFtoCNF_X1(X0)
    | mult(skolemFOFtoCNF_X1_1(X0),X0) != skolemFOFtoCNF_X1_1(X0) ),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_1,plain,
    ( mult(ld(X_139,X_139),skolemFOFtoCNF_X1(ld(X_139,X_139))) != skolemFOFtoCNF_X1(ld(X_139,X_139))
    | mult(skolemFOFtoCNF_X1_1(ld(X_139,X_139)),ld(X_139,X_139)) != skolemFOFtoCNF_X1_1(ld(X_139,X_139)) ),
    inference(subst,[],[refute_0_0:[bind(X0,$fot(ld(X_139,X_139)))]]) ).

cnf(refute_0_2,plain,
    rd(mult(A,B),B) = A,
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_3,plain,
    rd(mult(X_8,ld(X_8,B)),ld(X_8,B)) = X_8,
    inference(subst,[],[refute_0_2:[bind(A,$fot(X_8)),bind(B,$fot(ld(X_8,B)))]]) ).

cnf(refute_0_4,plain,
    mult(A,ld(A,B)) = B,
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_5,plain,
    mult(X_8,ld(X_8,B)) = B,
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_8))]]) ).

cnf(refute_0_6,plain,
    ( mult(X_8,ld(X_8,B)) != B
    | rd(mult(X_8,ld(X_8,B)),ld(X_8,B)) != X_8
    | rd(B,ld(X_8,B)) = X_8 ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_8,ld(X_8,B)),ld(X_8,B)),X_8) ),[0,0],$fot(B)]]) ).

cnf(refute_0_7,plain,
    ( rd(mult(X_8,ld(X_8,B)),ld(X_8,B)) != X_8
    | rd(B,ld(X_8,B)) = X_8 ),
    inference(resolve,[$cnf( $equal(mult(X_8,ld(X_8,B)),B) )],[refute_0_5,refute_0_6]) ).

cnf(refute_0_8,plain,
    rd(B,ld(X_8,B)) = X_8,
    inference(resolve,[$cnf( $equal(rd(mult(X_8,ld(X_8,B)),ld(X_8,B)),X_8) )],[refute_0_3,refute_0_7]) ).

cnf(refute_0_9,plain,
    rd(mult(X_130,X_130),ld(mult(X_131,mult(ld(X_131,X_130),X_131)),mult(X_130,X_130))) = mult(X_131,mult(ld(X_131,X_130),X_131)),
    inference(subst,[],[refute_0_8:[bind(B,$fot(mult(X_130,X_130))),bind(X_8,$fot(mult(X_131,mult(ld(X_131,X_130),X_131))))]]) ).

cnf(refute_0_10,plain,
    ld(A,mult(A,B)) = B,
    inference(canonicalize,[],[normalize_0_8]) ).

cnf(refute_0_11,plain,
    ld(mult(X_12,mult(B,X_14)),mult(mult(X_12,mult(B,X_14)),B)) = B,
    inference(subst,[],[refute_0_10:[bind(A,$fot(mult(X_12,mult(B,X_14))))]]) ).

cnf(refute_0_12,plain,
    mult(mult(A,mult(B,C)),B) = mult(mult(A,B),mult(C,B)),
    inference(canonicalize,[],[normalize_0_10]) ).

cnf(refute_0_13,plain,
    mult(mult(X_12,mult(B,X_14)),B) = mult(mult(X_12,B),mult(X_14,B)),
    inference(subst,[],[refute_0_12:[bind(A,$fot(X_12)),bind(C,$fot(X_14))]]) ).

cnf(refute_0_14,plain,
    ( ld(mult(X_12,mult(B,X_14)),mult(mult(X_12,mult(B,X_14)),B)) != B
    | mult(mult(X_12,mult(B,X_14)),B) != mult(mult(X_12,B),mult(X_14,B))
    | ld(mult(X_12,mult(B,X_14)),mult(mult(X_12,B),mult(X_14,B))) = B ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_12,mult(B,X_14)),mult(mult(X_12,mult(B,X_14)),B)),B) ),[0,1],$fot(mult(mult(X_12,B),mult(X_14,B)))]]) ).

cnf(refute_0_15,plain,
    ( ld(mult(X_12,mult(B,X_14)),mult(mult(X_12,mult(B,X_14)),B)) != B
    | ld(mult(X_12,mult(B,X_14)),mult(mult(X_12,B),mult(X_14,B))) = B ),
    inference(resolve,[$cnf( $equal(mult(mult(X_12,mult(B,X_14)),B),mult(mult(X_12,B),mult(X_14,B))) )],[refute_0_13,refute_0_14]) ).

cnf(refute_0_16,plain,
    ld(mult(X_12,mult(B,X_14)),mult(mult(X_12,B),mult(X_14,B))) = B,
    inference(resolve,[$cnf( $equal(ld(mult(X_12,mult(B,X_14)),mult(mult(X_12,mult(B,X_14)),B)),B) )],[refute_0_11,refute_0_15]) ).

cnf(refute_0_17,plain,
    ld(mult(X_17,mult(ld(X_17,B),X_18)),mult(mult(X_17,ld(X_17,B)),mult(X_18,ld(X_17,B)))) = ld(X_17,B),
    inference(subst,[],[refute_0_16:[bind(B,$fot(ld(X_17,B))),bind(X_12,$fot(X_17)),bind(X_14,$fot(X_18))]]) ).

cnf(refute_0_18,plain,
    mult(X_17,ld(X_17,B)) = B,
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_17))]]) ).

cnf(refute_0_19,plain,
    ( ld(mult(X_17,mult(ld(X_17,B),X_18)),mult(mult(X_17,ld(X_17,B)),mult(X_18,ld(X_17,B)))) != ld(X_17,B)
    | mult(X_17,ld(X_17,B)) != B
    | ld(mult(X_17,mult(ld(X_17,B),X_18)),mult(B,mult(X_18,ld(X_17,B)))) = ld(X_17,B) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_17,mult(ld(X_17,B),X_18)),mult(mult(X_17,ld(X_17,B)),mult(X_18,ld(X_17,B)))),ld(X_17,B)) ),[0,1,0],$fot(B)]]) ).

cnf(refute_0_20,plain,
    ( ld(mult(X_17,mult(ld(X_17,B),X_18)),mult(mult(X_17,ld(X_17,B)),mult(X_18,ld(X_17,B)))) != ld(X_17,B)
    | ld(mult(X_17,mult(ld(X_17,B),X_18)),mult(B,mult(X_18,ld(X_17,B)))) = ld(X_17,B) ),
    inference(resolve,[$cnf( $equal(mult(X_17,ld(X_17,B)),B) )],[refute_0_18,refute_0_19]) ).

cnf(refute_0_21,plain,
    ld(mult(X_17,mult(ld(X_17,B),X_18)),mult(B,mult(X_18,ld(X_17,B)))) = ld(X_17,B),
    inference(resolve,[$cnf( $equal(ld(mult(X_17,mult(ld(X_17,B),X_18)),mult(mult(X_17,ld(X_17,B)),mult(X_18,ld(X_17,B)))),ld(X_17,B)) )],[refute_0_17,refute_0_20]) ).

cnf(refute_0_22,plain,
    ld(mult(X_88,mult(ld(X_88,X_87),X_88)),mult(X_87,mult(X_88,ld(X_88,X_87)))) = ld(X_88,X_87),
    inference(subst,[],[refute_0_21:[bind(B,$fot(X_87)),bind(X_17,$fot(X_88)),bind(X_18,$fot(X_88))]]) ).

cnf(refute_0_23,plain,
    mult(X_88,ld(X_88,X_87)) = X_87,
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_88)),bind(B,$fot(X_87))]]) ).

cnf(refute_0_24,plain,
    ( ld(mult(X_88,mult(ld(X_88,X_87),X_88)),mult(X_87,mult(X_88,ld(X_88,X_87)))) != ld(X_88,X_87)
    | mult(X_88,ld(X_88,X_87)) != X_87
    | ld(mult(X_88,mult(ld(X_88,X_87),X_88)),mult(X_87,X_87)) = ld(X_88,X_87) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_88,mult(ld(X_88,X_87),X_88)),mult(X_87,mult(X_88,ld(X_88,X_87)))),ld(X_88,X_87)) ),[0,1,1],$fot(X_87)]]) ).

cnf(refute_0_25,plain,
    ( ld(mult(X_88,mult(ld(X_88,X_87),X_88)),mult(X_87,mult(X_88,ld(X_88,X_87)))) != ld(X_88,X_87)
    | ld(mult(X_88,mult(ld(X_88,X_87),X_88)),mult(X_87,X_87)) = ld(X_88,X_87) ),
    inference(resolve,[$cnf( $equal(mult(X_88,ld(X_88,X_87)),X_87) )],[refute_0_23,refute_0_24]) ).

cnf(refute_0_26,plain,
    ld(mult(X_88,mult(ld(X_88,X_87),X_88)),mult(X_87,X_87)) = ld(X_88,X_87),
    inference(resolve,[$cnf( $equal(ld(mult(X_88,mult(ld(X_88,X_87),X_88)),mult(X_87,mult(X_88,ld(X_88,X_87)))),ld(X_88,X_87)) )],[refute_0_22,refute_0_25]) ).

cnf(refute_0_27,plain,
    ld(mult(X_131,mult(ld(X_131,X_130),X_131)),mult(X_130,X_130)) = ld(X_131,X_130),
    inference(subst,[],[refute_0_26:[bind(X_87,$fot(X_130)),bind(X_88,$fot(X_131))]]) ).

cnf(refute_0_28,plain,
    ( ld(mult(X_131,mult(ld(X_131,X_130),X_131)),mult(X_130,X_130)) != ld(X_131,X_130)
    | rd(mult(X_130,X_130),ld(mult(X_131,mult(ld(X_131,X_130),X_131)),mult(X_130,X_130))) != mult(X_131,mult(ld(X_131,X_130),X_131))
    | rd(mult(X_130,X_130),ld(X_131,X_130)) = mult(X_131,mult(ld(X_131,X_130),X_131)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_130,X_130),ld(mult(X_131,mult(ld(X_131,X_130),X_131)),mult(X_130,X_130))),mult(X_131,mult(ld(X_131,X_130),X_131))) ),[0,1],$fot(ld(X_131,X_130))]]) ).

cnf(refute_0_29,plain,
    ( rd(mult(X_130,X_130),ld(mult(X_131,mult(ld(X_131,X_130),X_131)),mult(X_130,X_130))) != mult(X_131,mult(ld(X_131,X_130),X_131))
    | rd(mult(X_130,X_130),ld(X_131,X_130)) = mult(X_131,mult(ld(X_131,X_130),X_131)) ),
    inference(resolve,[$cnf( $equal(ld(mult(X_131,mult(ld(X_131,X_130),X_131)),mult(X_130,X_130)),ld(X_131,X_130)) )],[refute_0_27,refute_0_28]) ).

cnf(refute_0_30,plain,
    rd(mult(X_130,X_130),ld(X_131,X_130)) = mult(X_131,mult(ld(X_131,X_130),X_131)),
    inference(resolve,[$cnf( $equal(rd(mult(X_130,X_130),ld(mult(X_131,mult(ld(X_131,X_130),X_131)),mult(X_130,X_130))),mult(X_131,mult(ld(X_131,X_130),X_131))) )],[refute_0_9,refute_0_29]) ).

cnf(refute_0_31,plain,
    rd(mult(ld(A,A),ld(A,A)),ld(X_134,ld(A,A))) = mult(X_134,mult(ld(X_134,ld(A,A)),X_134)),
    inference(subst,[],[refute_0_30:[bind(X_130,$fot(ld(A,A))),bind(X_131,$fot(X_134))]]) ).

cnf(refute_0_32,plain,
    ld(A,mult(A,mult(ld(A,A),ld(A,A)))) = mult(ld(A,A),ld(A,A)),
    inference(subst,[],[refute_0_10:[bind(B,$fot(mult(ld(A,A),ld(A,A))))]]) ).

cnf(refute_0_33,plain,
    rd(mult(mult(X_12,mult(B,X_14)),B),B) = mult(X_12,mult(B,X_14)),
    inference(subst,[],[refute_0_2:[bind(A,$fot(mult(X_12,mult(B,X_14))))]]) ).

cnf(refute_0_34,plain,
    ( mult(mult(X_12,mult(B,X_14)),B) != mult(mult(X_12,B),mult(X_14,B))
    | rd(mult(mult(X_12,mult(B,X_14)),B),B) != mult(X_12,mult(B,X_14))
    | rd(mult(mult(X_12,B),mult(X_14,B)),B) = mult(X_12,mult(B,X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_12,mult(B,X_14)),B),B),mult(X_12,mult(B,X_14))) ),[0,0],$fot(mult(mult(X_12,B),mult(X_14,B)))]]) ).

cnf(refute_0_35,plain,
    ( rd(mult(mult(X_12,mult(B,X_14)),B),B) != mult(X_12,mult(B,X_14))
    | rd(mult(mult(X_12,B),mult(X_14,B)),B) = mult(X_12,mult(B,X_14)) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_12,mult(B,X_14)),B),mult(mult(X_12,B),mult(X_14,B))) )],[refute_0_13,refute_0_34]) ).

cnf(refute_0_36,plain,
    rd(mult(mult(X_12,B),mult(X_14,B)),B) = mult(X_12,mult(B,X_14)),
    inference(resolve,[$cnf( $equal(rd(mult(mult(X_12,mult(B,X_14)),B),B),mult(X_12,mult(B,X_14))) )],[refute_0_33,refute_0_35]) ).

cnf(refute_0_37,plain,
    rd(mult(mult(X_20,X_19),mult(rd(A,X_19),X_19)),X_19) = mult(X_20,mult(X_19,rd(A,X_19))),
    inference(subst,[],[refute_0_36:[bind(B,$fot(X_19)),bind(X_12,$fot(X_20)),bind(X_14,$fot(rd(A,X_19)))]]) ).

cnf(refute_0_38,plain,
    mult(rd(A,B),B) = A,
    inference(canonicalize,[],[normalize_0_12]) ).

cnf(refute_0_39,plain,
    mult(rd(A,X_19),X_19) = A,
    inference(subst,[],[refute_0_38:[bind(B,$fot(X_19))]]) ).

cnf(refute_0_40,plain,
    ( mult(rd(A,X_19),X_19) != A
    | rd(mult(mult(X_20,X_19),mult(rd(A,X_19),X_19)),X_19) != mult(X_20,mult(X_19,rd(A,X_19)))
    | rd(mult(mult(X_20,X_19),A),X_19) = mult(X_20,mult(X_19,rd(A,X_19))) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_20,X_19),mult(rd(A,X_19),X_19)),X_19),mult(X_20,mult(X_19,rd(A,X_19)))) ),[0,0,1],$fot(A)]]) ).

cnf(refute_0_41,plain,
    ( rd(mult(mult(X_20,X_19),mult(rd(A,X_19),X_19)),X_19) != mult(X_20,mult(X_19,rd(A,X_19)))
    | rd(mult(mult(X_20,X_19),A),X_19) = mult(X_20,mult(X_19,rd(A,X_19))) ),
    inference(resolve,[$cnf( $equal(mult(rd(A,X_19),X_19),A) )],[refute_0_39,refute_0_40]) ).

cnf(refute_0_42,plain,
    rd(mult(mult(X_20,X_19),A),X_19) = mult(X_20,mult(X_19,rd(A,X_19))),
    inference(resolve,[$cnf( $equal(rd(mult(mult(X_20,X_19),mult(rd(A,X_19),X_19)),X_19),mult(X_20,mult(X_19,rd(A,X_19)))) )],[refute_0_37,refute_0_41]) ).

cnf(refute_0_43,plain,
    rd(mult(mult(X_20,X_19),rd(mult(X_20,X_19),mult(X_20,X_19))),X_19) = mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19))),
    inference(subst,[],[refute_0_42:[bind(A,$fot(rd(mult(X_20,X_19),mult(X_20,X_19))))]]) ).

cnf(refute_0_44,plain,
    ld(A,mult(A,mult(X_28,rd(X_28,X_28)))) = mult(X_28,rd(X_28,X_28)),
    inference(subst,[],[refute_0_10:[bind(B,$fot(mult(X_28,rd(X_28,X_28))))]]) ).

cnf(refute_0_45,plain,
    rd(mult(mult(X_27,B),B),B) = mult(X_27,B),
    inference(subst,[],[refute_0_2:[bind(A,$fot(mult(X_27,B)))]]) ).

cnf(refute_0_46,plain,
    rd(mult(mult(X_27,B),B),B) = mult(X_27,mult(B,rd(B,B))),
    inference(subst,[],[refute_0_42:[bind(A,$fot(B)),bind(X_19,$fot(B)),bind(X_20,$fot(X_27))]]) ).

cnf(refute_0_47,plain,
    ( rd(mult(mult(X_27,B),B),B) != mult(X_27,B)
    | rd(mult(mult(X_27,B),B),B) != mult(X_27,mult(B,rd(B,B)))
    | mult(X_27,mult(B,rd(B,B))) = mult(X_27,B) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_27,B),B),B),mult(X_27,B)) ),[0],$fot(mult(X_27,mult(B,rd(B,B))))]]) ).

cnf(refute_0_48,plain,
    ( rd(mult(mult(X_27,B),B),B) != mult(X_27,B)
    | mult(X_27,mult(B,rd(B,B))) = mult(X_27,B) ),
    inference(resolve,[$cnf( $equal(rd(mult(mult(X_27,B),B),B),mult(X_27,mult(B,rd(B,B)))) )],[refute_0_46,refute_0_47]) ).

cnf(refute_0_49,plain,
    mult(X_27,mult(B,rd(B,B))) = mult(X_27,B),
    inference(resolve,[$cnf( $equal(rd(mult(mult(X_27,B),B),B),mult(X_27,B)) )],[refute_0_45,refute_0_48]) ).

cnf(refute_0_50,plain,
    mult(A,mult(X_28,rd(X_28,X_28))) = mult(A,X_28),
    inference(subst,[],[refute_0_49:[bind(B,$fot(X_28)),bind(X_27,$fot(A))]]) ).

cnf(refute_0_51,plain,
    ( ld(A,mult(A,mult(X_28,rd(X_28,X_28)))) != mult(X_28,rd(X_28,X_28))
    | mult(A,mult(X_28,rd(X_28,X_28))) != mult(A,X_28)
    | ld(A,mult(A,X_28)) = mult(X_28,rd(X_28,X_28)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(A,mult(X_28,rd(X_28,X_28)))),mult(X_28,rd(X_28,X_28))) ),[0,1],$fot(mult(A,X_28))]]) ).

cnf(refute_0_52,plain,
    ( ld(A,mult(A,mult(X_28,rd(X_28,X_28)))) != mult(X_28,rd(X_28,X_28))
    | ld(A,mult(A,X_28)) = mult(X_28,rd(X_28,X_28)) ),
    inference(resolve,[$cnf( $equal(mult(A,mult(X_28,rd(X_28,X_28))),mult(A,X_28)) )],[refute_0_50,refute_0_51]) ).

cnf(refute_0_53,plain,
    ld(A,mult(A,X_28)) = mult(X_28,rd(X_28,X_28)),
    inference(resolve,[$cnf( $equal(ld(A,mult(A,mult(X_28,rd(X_28,X_28)))),mult(X_28,rd(X_28,X_28))) )],[refute_0_44,refute_0_52]) ).

cnf(refute_0_54,plain,
    ld(A,mult(A,X_28)) = X_28,
    inference(subst,[],[refute_0_10:[bind(B,$fot(X_28))]]) ).

cnf(refute_0_55,plain,
    ( ld(A,mult(A,X_28)) != X_28
    | ld(A,mult(A,X_28)) != mult(X_28,rd(X_28,X_28))
    | X_28 = mult(X_28,rd(X_28,X_28)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(A,X_28)),mult(X_28,rd(X_28,X_28))) ),[0],$fot(X_28)]]) ).

cnf(refute_0_56,plain,
    ( ld(A,mult(A,X_28)) != mult(X_28,rd(X_28,X_28))
    | X_28 = mult(X_28,rd(X_28,X_28)) ),
    inference(resolve,[$cnf( $equal(ld(A,mult(A,X_28)),X_28) )],[refute_0_54,refute_0_55]) ).

cnf(refute_0_57,plain,
    X_28 = mult(X_28,rd(X_28,X_28)),
    inference(resolve,[$cnf( $equal(ld(A,mult(A,X_28)),mult(X_28,rd(X_28,X_28))) )],[refute_0_53,refute_0_56]) ).

cnf(refute_0_58,plain,
    mult(X_20,X_19) = mult(mult(X_20,X_19),rd(mult(X_20,X_19),mult(X_20,X_19))),
    inference(subst,[],[refute_0_57:[bind(X_28,$fot(mult(X_20,X_19)))]]) ).

cnf(refute_0_59,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_60,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_61,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_59,refute_0_60]) ).

cnf(refute_0_62,plain,
    ( mult(X_20,X_19) != mult(mult(X_20,X_19),rd(mult(X_20,X_19),mult(X_20,X_19)))
    | mult(mult(X_20,X_19),rd(mult(X_20,X_19),mult(X_20,X_19))) = mult(X_20,X_19) ),
    inference(subst,[],[refute_0_61:[bind(X,$fot(mult(X_20,X_19))),bind(Y,$fot(mult(mult(X_20,X_19),rd(mult(X_20,X_19),mult(X_20,X_19)))))]]) ).

cnf(refute_0_63,plain,
    mult(mult(X_20,X_19),rd(mult(X_20,X_19),mult(X_20,X_19))) = mult(X_20,X_19),
    inference(resolve,[$cnf( $equal(mult(X_20,X_19),mult(mult(X_20,X_19),rd(mult(X_20,X_19),mult(X_20,X_19)))) )],[refute_0_58,refute_0_62]) ).

cnf(refute_0_64,plain,
    ( mult(mult(X_20,X_19),rd(mult(X_20,X_19),mult(X_20,X_19))) != mult(X_20,X_19)
    | rd(mult(mult(X_20,X_19),rd(mult(X_20,X_19),mult(X_20,X_19))),X_19) != mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)))
    | rd(mult(X_20,X_19),X_19) = mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19))) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_20,X_19),rd(mult(X_20,X_19),mult(X_20,X_19))),X_19),mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)))) ),[0,0],$fot(mult(X_20,X_19))]]) ).

cnf(refute_0_65,plain,
    ( rd(mult(mult(X_20,X_19),rd(mult(X_20,X_19),mult(X_20,X_19))),X_19) != mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)))
    | rd(mult(X_20,X_19),X_19) = mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19))) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_20,X_19),rd(mult(X_20,X_19),mult(X_20,X_19))),mult(X_20,X_19)) )],[refute_0_63,refute_0_64]) ).

cnf(refute_0_66,plain,
    rd(mult(X_20,X_19),X_19) = mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19))),
    inference(resolve,[$cnf( $equal(rd(mult(mult(X_20,X_19),rd(mult(X_20,X_19),mult(X_20,X_19))),X_19),mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)))) )],[refute_0_43,refute_0_65]) ).

cnf(refute_0_67,plain,
    rd(mult(X_20,X_19),X_19) = X_20,
    inference(subst,[],[refute_0_2:[bind(A,$fot(X_20)),bind(B,$fot(X_19))]]) ).

cnf(refute_0_68,plain,
    ( rd(mult(X_20,X_19),X_19) != X_20
    | rd(mult(X_20,X_19),X_19) != mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)))
    | X_20 = mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19))) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_20,X_19),X_19),mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)))) ),[0],$fot(X_20)]]) ).

cnf(refute_0_69,plain,
    ( rd(mult(X_20,X_19),X_19) != mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)))
    | X_20 = mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19))) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_20,X_19),X_19),X_20) )],[refute_0_67,refute_0_68]) ).

cnf(refute_0_70,plain,
    rd(mult(rd(X_20,mult(X_19,X_20)),X_19),X_19) = rd(X_20,mult(X_19,X_20)),
    inference(subst,[],[refute_0_2:[bind(A,$fot(rd(X_20,mult(X_19,X_20)))),bind(B,$fot(X_19))]]) ).

cnf(refute_0_71,plain,
    rd(mult(mult(rd(X_22,mult(X_23,X_24)),X_23),mult(X_24,X_23)),mult(X_24,X_23)) = mult(rd(X_22,mult(X_23,X_24)),X_23),
    inference(subst,[],[refute_0_2:[bind(A,$fot(mult(rd(X_22,mult(X_23,X_24)),X_23))),bind(B,$fot(mult(X_24,X_23)))]]) ).

cnf(refute_0_72,plain,
    mult(mult(rd(A,mult(X_13,X_14)),mult(X_13,X_14)),X_13) = mult(mult(rd(A,mult(X_13,X_14)),X_13),mult(X_14,X_13)),
    inference(subst,[],[refute_0_12:[bind(A,$fot(rd(A,mult(X_13,X_14)))),bind(B,$fot(X_13)),bind(C,$fot(X_14))]]) ).

cnf(refute_0_73,plain,
    mult(rd(A,mult(X_13,X_14)),mult(X_13,X_14)) = A,
    inference(subst,[],[refute_0_38:[bind(B,$fot(mult(X_13,X_14)))]]) ).

cnf(refute_0_74,plain,
    ( mult(mult(rd(A,mult(X_13,X_14)),mult(X_13,X_14)),X_13) != mult(mult(rd(A,mult(X_13,X_14)),X_13),mult(X_14,X_13))
    | mult(rd(A,mult(X_13,X_14)),mult(X_13,X_14)) != A
    | mult(A,X_13) = mult(mult(rd(A,mult(X_13,X_14)),X_13),mult(X_14,X_13)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(A,mult(X_13,X_14)),mult(X_13,X_14)),X_13),mult(mult(rd(A,mult(X_13,X_14)),X_13),mult(X_14,X_13))) ),[0,0],$fot(A)]]) ).

cnf(refute_0_75,plain,
    ( mult(mult(rd(A,mult(X_13,X_14)),mult(X_13,X_14)),X_13) != mult(mult(rd(A,mult(X_13,X_14)),X_13),mult(X_14,X_13))
    | mult(A,X_13) = mult(mult(rd(A,mult(X_13,X_14)),X_13),mult(X_14,X_13)) ),
    inference(resolve,[$cnf( $equal(mult(rd(A,mult(X_13,X_14)),mult(X_13,X_14)),A) )],[refute_0_73,refute_0_74]) ).

cnf(refute_0_76,plain,
    mult(A,X_13) = mult(mult(rd(A,mult(X_13,X_14)),X_13),mult(X_14,X_13)),
    inference(resolve,[$cnf( $equal(mult(mult(rd(A,mult(X_13,X_14)),mult(X_13,X_14)),X_13),mult(mult(rd(A,mult(X_13,X_14)),X_13),mult(X_14,X_13))) )],[refute_0_72,refute_0_75]) ).

cnf(refute_0_77,plain,
    mult(X_22,X_23) = mult(mult(rd(X_22,mult(X_23,X_24)),X_23),mult(X_24,X_23)),
    inference(subst,[],[refute_0_76:[bind(A,$fot(X_22)),bind(X_13,$fot(X_23)),bind(X_14,$fot(X_24))]]) ).

cnf(refute_0_78,plain,
    ( mult(X_22,X_23) != mult(mult(rd(X_22,mult(X_23,X_24)),X_23),mult(X_24,X_23))
    | mult(mult(rd(X_22,mult(X_23,X_24)),X_23),mult(X_24,X_23)) = mult(X_22,X_23) ),
    inference(subst,[],[refute_0_61:[bind(X,$fot(mult(X_22,X_23))),bind(Y,$fot(mult(mult(rd(X_22,mult(X_23,X_24)),X_23),mult(X_24,X_23))))]]) ).

cnf(refute_0_79,plain,
    mult(mult(rd(X_22,mult(X_23,X_24)),X_23),mult(X_24,X_23)) = mult(X_22,X_23),
    inference(resolve,[$cnf( $equal(mult(X_22,X_23),mult(mult(rd(X_22,mult(X_23,X_24)),X_23),mult(X_24,X_23))) )],[refute_0_77,refute_0_78]) ).

cnf(refute_0_80,plain,
    ( mult(mult(rd(X_22,mult(X_23,X_24)),X_23),mult(X_24,X_23)) != mult(X_22,X_23)
    | rd(mult(mult(rd(X_22,mult(X_23,X_24)),X_23),mult(X_24,X_23)),mult(X_24,X_23)) != mult(rd(X_22,mult(X_23,X_24)),X_23)
    | rd(mult(X_22,X_23),mult(X_24,X_23)) = mult(rd(X_22,mult(X_23,X_24)),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(rd(X_22,mult(X_23,X_24)),X_23),mult(X_24,X_23)),mult(X_24,X_23)),mult(rd(X_22,mult(X_23,X_24)),X_23)) ),[0,0],$fot(mult(X_22,X_23))]]) ).

cnf(refute_0_81,plain,
    ( rd(mult(mult(rd(X_22,mult(X_23,X_24)),X_23),mult(X_24,X_23)),mult(X_24,X_23)) != mult(rd(X_22,mult(X_23,X_24)),X_23)
    | rd(mult(X_22,X_23),mult(X_24,X_23)) = mult(rd(X_22,mult(X_23,X_24)),X_23) ),
    inference(resolve,[$cnf( $equal(mult(mult(rd(X_22,mult(X_23,X_24)),X_23),mult(X_24,X_23)),mult(X_22,X_23)) )],[refute_0_79,refute_0_80]) ).

cnf(refute_0_82,plain,
    rd(mult(X_22,X_23),mult(X_24,X_23)) = mult(rd(X_22,mult(X_23,X_24)),X_23),
    inference(resolve,[$cnf( $equal(rd(mult(mult(rd(X_22,mult(X_23,X_24)),X_23),mult(X_24,X_23)),mult(X_24,X_23)),mult(rd(X_22,mult(X_23,X_24)),X_23)) )],[refute_0_71,refute_0_81]) ).

cnf(refute_0_83,plain,
    rd(mult(X_20,X_19),mult(X_20,X_19)) = mult(rd(X_20,mult(X_19,X_20)),X_19),
    inference(subst,[],[refute_0_82:[bind(X_22,$fot(X_20)),bind(X_23,$fot(X_19)),bind(X_24,$fot(X_20))]]) ).

cnf(refute_0_84,plain,
    rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19) = rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19),
    introduced(tautology,[refl,[$fot(rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19))]]) ).

cnf(refute_0_85,plain,
    ( rd(mult(X_20,X_19),mult(X_20,X_19)) != mult(rd(X_20,mult(X_19,X_20)),X_19)
    | rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19) != rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)
    | rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19) = rd(mult(rd(X_20,mult(X_19,X_20)),X_19),X_19) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19),rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)) ),[1,0],$fot(mult(rd(X_20,mult(X_19,X_20)),X_19))]]) ).

cnf(refute_0_86,plain,
    ( rd(mult(X_20,X_19),mult(X_20,X_19)) != mult(rd(X_20,mult(X_19,X_20)),X_19)
    | rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19) = rd(mult(rd(X_20,mult(X_19,X_20)),X_19),X_19) ),
    inference(resolve,[$cnf( $equal(rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19),rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)) )],[refute_0_84,refute_0_85]) ).

cnf(refute_0_87,plain,
    rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19) = rd(mult(rd(X_20,mult(X_19,X_20)),X_19),X_19),
    inference(resolve,[$cnf( $equal(rd(mult(X_20,X_19),mult(X_20,X_19)),mult(rd(X_20,mult(X_19,X_20)),X_19)) )],[refute_0_83,refute_0_86]) ).

cnf(refute_0_88,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_89,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_61,refute_0_88]) ).

cnf(refute_0_90,plain,
    ( rd(mult(rd(X_20,mult(X_19,X_20)),X_19),X_19) != rd(X_20,mult(X_19,X_20))
    | rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19) != rd(mult(rd(X_20,mult(X_19,X_20)),X_19),X_19)
    | rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19) = rd(X_20,mult(X_19,X_20)) ),
    inference(subst,[],[refute_0_89:[bind(X,$fot(rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19))),bind(Y,$fot(rd(mult(rd(X_20,mult(X_19,X_20)),X_19),X_19))),bind(Z,$fot(rd(X_20,mult(X_19,X_20))))]]) ).

cnf(refute_0_91,plain,
    ( rd(mult(rd(X_20,mult(X_19,X_20)),X_19),X_19) != rd(X_20,mult(X_19,X_20))
    | rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19) = rd(X_20,mult(X_19,X_20)) ),
    inference(resolve,[$cnf( $equal(rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19),rd(mult(rd(X_20,mult(X_19,X_20)),X_19),X_19)) )],[refute_0_87,refute_0_90]) ).

cnf(refute_0_92,plain,
    rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19) = rd(X_20,mult(X_19,X_20)),
    inference(resolve,[$cnf( $equal(rd(mult(rd(X_20,mult(X_19,X_20)),X_19),X_19),rd(X_20,mult(X_19,X_20))) )],[refute_0_70,refute_0_91]) ).

cnf(refute_0_93,plain,
    mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)) = mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)),
    introduced(tautology,[refl,[$fot(mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)))]]) ).

cnf(refute_0_94,plain,
    ( mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)) != mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19))
    | rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19) != rd(X_20,mult(X_19,X_20))
    | mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)) = mult(X_19,rd(X_20,mult(X_19,X_20))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)),mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19))) ),[1,1],$fot(rd(X_20,mult(X_19,X_20)))]]) ).

cnf(refute_0_95,plain,
    ( rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19) != rd(X_20,mult(X_19,X_20))
    | mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)) = mult(X_19,rd(X_20,mult(X_19,X_20))) ),
    inference(resolve,[$cnf( $equal(mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)),mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19))) )],[refute_0_93,refute_0_94]) ).

cnf(refute_0_96,plain,
    mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)) = mult(X_19,rd(X_20,mult(X_19,X_20))),
    inference(resolve,[$cnf( $equal(rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19),rd(X_20,mult(X_19,X_20))) )],[refute_0_92,refute_0_95]) ).

cnf(refute_0_97,plain,
    mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19))) = mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19))),
    introduced(tautology,[refl,[$fot(mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19))))]]) ).

cnf(refute_0_98,plain,
    ( mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)) != mult(X_19,rd(X_20,mult(X_19,X_20)))
    | mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19))) != mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)))
    | mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19))) = mult(X_20,mult(X_19,rd(X_20,mult(X_19,X_20)))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19))),mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)))) ),[1,1],$fot(mult(X_19,rd(X_20,mult(X_19,X_20))))]]) ).

cnf(refute_0_99,plain,
    ( mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)) != mult(X_19,rd(X_20,mult(X_19,X_20)))
    | mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19))) = mult(X_20,mult(X_19,rd(X_20,mult(X_19,X_20)))) ),
    inference(resolve,[$cnf( $equal(mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19))),mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)))) )],[refute_0_97,refute_0_98]) ).

cnf(refute_0_100,plain,
    mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19))) = mult(X_20,mult(X_19,rd(X_20,mult(X_19,X_20)))),
    inference(resolve,[$cnf( $equal(mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)),mult(X_19,rd(X_20,mult(X_19,X_20)))) )],[refute_0_96,refute_0_99]) ).

cnf(refute_0_101,plain,
    ( X_20 != mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)))
    | mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19))) != mult(X_20,mult(X_19,rd(X_20,mult(X_19,X_20))))
    | X_20 = mult(X_20,mult(X_19,rd(X_20,mult(X_19,X_20)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_20,mult(X_20,mult(X_19,rd(X_20,mult(X_19,X_20))))) ),[0],$fot(mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19))))]]) ).

cnf(refute_0_102,plain,
    ( X_20 != mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)))
    | X_20 = mult(X_20,mult(X_19,rd(X_20,mult(X_19,X_20)))) ),
    inference(resolve,[$cnf( $equal(mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19))),mult(X_20,mult(X_19,rd(X_20,mult(X_19,X_20))))) )],[refute_0_100,refute_0_101]) ).

cnf(refute_0_103,plain,
    ( rd(mult(X_20,X_19),X_19) != mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)))
    | X_20 = mult(X_20,mult(X_19,rd(X_20,mult(X_19,X_20)))) ),
    inference(resolve,[$cnf( $equal(X_20,mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)))) )],[refute_0_69,refute_0_102]) ).

cnf(refute_0_104,plain,
    X_20 = mult(X_20,mult(X_19,rd(X_20,mult(X_19,X_20)))),
    inference(resolve,[$cnf( $equal(rd(mult(X_20,X_19),X_19),mult(X_20,mult(X_19,rd(rd(mult(X_20,X_19),mult(X_20,X_19)),X_19)))) )],[refute_0_66,refute_0_103]) ).

cnf(refute_0_105,plain,
    X_52 = mult(X_52,mult(ld(X_52,X_52),rd(X_52,mult(ld(X_52,X_52),X_52)))),
    inference(subst,[],[refute_0_104:[bind(X_19,$fot(ld(X_52,X_52))),bind(X_20,$fot(X_52))]]) ).

cnf(refute_0_106,plain,
    mult(rd(B,B),B) = B,
    inference(subst,[],[refute_0_38:[bind(A,$fot(B))]]) ).

cnf(refute_0_107,plain,
    ld(A,mult(A,rd(A,A))) = rd(A,A),
    inference(subst,[],[refute_0_10:[bind(B,$fot(rd(A,A)))]]) ).

cnf(refute_0_108,plain,
    A = mult(A,rd(A,A)),
    inference(subst,[],[refute_0_57:[bind(X_28,$fot(A))]]) ).

cnf(refute_0_109,plain,
    ( A != mult(A,rd(A,A))
    | mult(A,rd(A,A)) = A ),
    inference(subst,[],[refute_0_61:[bind(X,$fot(A)),bind(Y,$fot(mult(A,rd(A,A))))]]) ).

cnf(refute_0_110,plain,
    mult(A,rd(A,A)) = A,
    inference(resolve,[$cnf( $equal(A,mult(A,rd(A,A))) )],[refute_0_108,refute_0_109]) ).

cnf(refute_0_111,plain,
    ( ld(A,mult(A,rd(A,A))) != rd(A,A)
    | mult(A,rd(A,A)) != A
    | ld(A,A) = rd(A,A) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(A,rd(A,A))),rd(A,A)) ),[0,1],$fot(A)]]) ).

cnf(refute_0_112,plain,
    ( ld(A,mult(A,rd(A,A))) != rd(A,A)
    | ld(A,A) = rd(A,A) ),
    inference(resolve,[$cnf( $equal(mult(A,rd(A,A)),A) )],[refute_0_110,refute_0_111]) ).

cnf(refute_0_113,plain,
    ld(A,A) = rd(A,A),
    inference(resolve,[$cnf( $equal(ld(A,mult(A,rd(A,A))),rd(A,A)) )],[refute_0_107,refute_0_112]) ).

cnf(refute_0_114,plain,
    ld(B,B) = rd(B,B),
    inference(subst,[],[refute_0_113:[bind(A,$fot(B))]]) ).

cnf(refute_0_115,plain,
    ( ld(B,B) != rd(B,B)
    | rd(B,B) = ld(B,B) ),
    inference(subst,[],[refute_0_61:[bind(X,$fot(ld(B,B))),bind(Y,$fot(rd(B,B)))]]) ).

cnf(refute_0_116,plain,
    rd(B,B) = ld(B,B),
    inference(resolve,[$cnf( $equal(ld(B,B),rd(B,B)) )],[refute_0_114,refute_0_115]) ).

cnf(refute_0_117,plain,
    ( mult(rd(B,B),B) != B
    | rd(B,B) != ld(B,B)
    | mult(ld(B,B),B) = B ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(B,B),B),B) ),[0,0],$fot(ld(B,B))]]) ).

cnf(refute_0_118,plain,
    ( mult(rd(B,B),B) != B
    | mult(ld(B,B),B) = B ),
    inference(resolve,[$cnf( $equal(rd(B,B),ld(B,B)) )],[refute_0_116,refute_0_117]) ).

cnf(refute_0_119,plain,
    mult(ld(B,B),B) = B,
    inference(resolve,[$cnf( $equal(mult(rd(B,B),B),B) )],[refute_0_106,refute_0_118]) ).

cnf(refute_0_120,plain,
    mult(ld(X_52,X_52),X_52) = X_52,
    inference(subst,[],[refute_0_119:[bind(B,$fot(X_52))]]) ).

cnf(refute_0_121,plain,
    ( X_52 != mult(X_52,mult(ld(X_52,X_52),rd(X_52,mult(ld(X_52,X_52),X_52))))
    | mult(ld(X_52,X_52),X_52) != X_52
    | X_52 = mult(X_52,mult(ld(X_52,X_52),rd(X_52,X_52))) ),
    introduced(tautology,[equality,[$cnf( $equal(X_52,mult(X_52,mult(ld(X_52,X_52),rd(X_52,mult(ld(X_52,X_52),X_52))))) ),[1,1,1,1],$fot(X_52)]]) ).

cnf(refute_0_122,plain,
    ( X_52 != mult(X_52,mult(ld(X_52,X_52),rd(X_52,mult(ld(X_52,X_52),X_52))))
    | X_52 = mult(X_52,mult(ld(X_52,X_52),rd(X_52,X_52))) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_52,X_52),X_52),X_52) )],[refute_0_120,refute_0_121]) ).

cnf(refute_0_123,plain,
    X_52 = mult(X_52,mult(ld(X_52,X_52),rd(X_52,X_52))),
    inference(resolve,[$cnf( $equal(X_52,mult(X_52,mult(ld(X_52,X_52),rd(X_52,mult(ld(X_52,X_52),X_52))))) )],[refute_0_105,refute_0_122]) ).

cnf(refute_0_124,plain,
    ( ld(A,A) != rd(A,A)
    | rd(A,A) = ld(A,A) ),
    inference(subst,[],[refute_0_61:[bind(X,$fot(ld(A,A))),bind(Y,$fot(rd(A,A)))]]) ).

cnf(refute_0_125,plain,
    rd(A,A) = ld(A,A),
    inference(resolve,[$cnf( $equal(ld(A,A),rd(A,A)) )],[refute_0_113,refute_0_124]) ).

cnf(refute_0_126,plain,
    rd(X_52,X_52) = ld(X_52,X_52),
    inference(subst,[],[refute_0_125:[bind(A,$fot(X_52))]]) ).

cnf(refute_0_127,plain,
    mult(ld(X_52,X_52),rd(X_52,X_52)) = mult(ld(X_52,X_52),rd(X_52,X_52)),
    introduced(tautology,[refl,[$fot(mult(ld(X_52,X_52),rd(X_52,X_52)))]]) ).

cnf(refute_0_128,plain,
    ( mult(ld(X_52,X_52),rd(X_52,X_52)) != mult(ld(X_52,X_52),rd(X_52,X_52))
    | rd(X_52,X_52) != ld(X_52,X_52)
    | mult(ld(X_52,X_52),rd(X_52,X_52)) = mult(ld(X_52,X_52),ld(X_52,X_52)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(ld(X_52,X_52),rd(X_52,X_52)),mult(ld(X_52,X_52),rd(X_52,X_52))) ),[1,1],$fot(ld(X_52,X_52))]]) ).

cnf(refute_0_129,plain,
    ( rd(X_52,X_52) != ld(X_52,X_52)
    | mult(ld(X_52,X_52),rd(X_52,X_52)) = mult(ld(X_52,X_52),ld(X_52,X_52)) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_52,X_52),rd(X_52,X_52)),mult(ld(X_52,X_52),rd(X_52,X_52))) )],[refute_0_127,refute_0_128]) ).

cnf(refute_0_130,plain,
    mult(ld(X_52,X_52),rd(X_52,X_52)) = mult(ld(X_52,X_52),ld(X_52,X_52)),
    inference(resolve,[$cnf( $equal(rd(X_52,X_52),ld(X_52,X_52)) )],[refute_0_126,refute_0_129]) ).

cnf(refute_0_131,plain,
    mult(X_52,mult(ld(X_52,X_52),rd(X_52,X_52))) = mult(X_52,mult(ld(X_52,X_52),rd(X_52,X_52))),
    introduced(tautology,[refl,[$fot(mult(X_52,mult(ld(X_52,X_52),rd(X_52,X_52))))]]) ).

cnf(refute_0_132,plain,
    ( mult(X_52,mult(ld(X_52,X_52),rd(X_52,X_52))) != mult(X_52,mult(ld(X_52,X_52),rd(X_52,X_52)))
    | mult(ld(X_52,X_52),rd(X_52,X_52)) != mult(ld(X_52,X_52),ld(X_52,X_52))
    | mult(X_52,mult(ld(X_52,X_52),rd(X_52,X_52))) = mult(X_52,mult(ld(X_52,X_52),ld(X_52,X_52))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_52,mult(ld(X_52,X_52),rd(X_52,X_52))),mult(X_52,mult(ld(X_52,X_52),rd(X_52,X_52)))) ),[1,1],$fot(mult(ld(X_52,X_52),ld(X_52,X_52)))]]) ).

cnf(refute_0_133,plain,
    ( mult(ld(X_52,X_52),rd(X_52,X_52)) != mult(ld(X_52,X_52),ld(X_52,X_52))
    | mult(X_52,mult(ld(X_52,X_52),rd(X_52,X_52))) = mult(X_52,mult(ld(X_52,X_52),ld(X_52,X_52))) ),
    inference(resolve,[$cnf( $equal(mult(X_52,mult(ld(X_52,X_52),rd(X_52,X_52))),mult(X_52,mult(ld(X_52,X_52),rd(X_52,X_52)))) )],[refute_0_131,refute_0_132]) ).

cnf(refute_0_134,plain,
    mult(X_52,mult(ld(X_52,X_52),rd(X_52,X_52))) = mult(X_52,mult(ld(X_52,X_52),ld(X_52,X_52))),
    inference(resolve,[$cnf( $equal(mult(ld(X_52,X_52),rd(X_52,X_52)),mult(ld(X_52,X_52),ld(X_52,X_52))) )],[refute_0_130,refute_0_133]) ).

cnf(refute_0_135,plain,
    ( X_52 != mult(X_52,mult(ld(X_52,X_52),rd(X_52,X_52)))
    | mult(X_52,mult(ld(X_52,X_52),rd(X_52,X_52))) != mult(X_52,mult(ld(X_52,X_52),ld(X_52,X_52)))
    | X_52 = mult(X_52,mult(ld(X_52,X_52),ld(X_52,X_52))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_52,mult(X_52,mult(ld(X_52,X_52),ld(X_52,X_52)))) ),[0],$fot(mult(X_52,mult(ld(X_52,X_52),rd(X_52,X_52))))]]) ).

cnf(refute_0_136,plain,
    ( X_52 != mult(X_52,mult(ld(X_52,X_52),rd(X_52,X_52)))
    | X_52 = mult(X_52,mult(ld(X_52,X_52),ld(X_52,X_52))) ),
    inference(resolve,[$cnf( $equal(mult(X_52,mult(ld(X_52,X_52),rd(X_52,X_52))),mult(X_52,mult(ld(X_52,X_52),ld(X_52,X_52)))) )],[refute_0_134,refute_0_135]) ).

cnf(refute_0_137,plain,
    X_52 = mult(X_52,mult(ld(X_52,X_52),ld(X_52,X_52))),
    inference(resolve,[$cnf( $equal(X_52,mult(X_52,mult(ld(X_52,X_52),rd(X_52,X_52)))) )],[refute_0_123,refute_0_136]) ).

cnf(refute_0_138,plain,
    A = mult(A,mult(ld(A,A),ld(A,A))),
    inference(subst,[],[refute_0_137:[bind(X_52,$fot(A))]]) ).

cnf(refute_0_139,plain,
    ( A != mult(A,mult(ld(A,A),ld(A,A)))
    | mult(A,mult(ld(A,A),ld(A,A))) = A ),
    inference(subst,[],[refute_0_61:[bind(X,$fot(A)),bind(Y,$fot(mult(A,mult(ld(A,A),ld(A,A)))))]]) ).

cnf(refute_0_140,plain,
    mult(A,mult(ld(A,A),ld(A,A))) = A,
    inference(resolve,[$cnf( $equal(A,mult(A,mult(ld(A,A),ld(A,A)))) )],[refute_0_138,refute_0_139]) ).

cnf(refute_0_141,plain,
    ( ld(A,mult(A,mult(ld(A,A),ld(A,A)))) != mult(ld(A,A),ld(A,A))
    | mult(A,mult(ld(A,A),ld(A,A))) != A
    | ld(A,A) = mult(ld(A,A),ld(A,A)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(A,mult(ld(A,A),ld(A,A)))),mult(ld(A,A),ld(A,A))) ),[0,1],$fot(A)]]) ).

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

cnf(refute_0_143,plain,
    ld(A,A) = mult(ld(A,A),ld(A,A)),
    inference(resolve,[$cnf( $equal(ld(A,mult(A,mult(ld(A,A),ld(A,A)))),mult(ld(A,A),ld(A,A))) )],[refute_0_32,refute_0_142]) ).

cnf(refute_0_144,plain,
    ( ld(A,A) != mult(ld(A,A),ld(A,A))
    | mult(ld(A,A),ld(A,A)) = ld(A,A) ),
    inference(subst,[],[refute_0_61:[bind(X,$fot(ld(A,A))),bind(Y,$fot(mult(ld(A,A),ld(A,A))))]]) ).

cnf(refute_0_145,plain,
    mult(ld(A,A),ld(A,A)) = ld(A,A),
    inference(resolve,[$cnf( $equal(ld(A,A),mult(ld(A,A),ld(A,A))) )],[refute_0_143,refute_0_144]) ).

cnf(refute_0_146,plain,
    ( mult(ld(A,A),ld(A,A)) != ld(A,A)
    | rd(mult(ld(A,A),ld(A,A)),ld(X_134,ld(A,A))) != mult(X_134,mult(ld(X_134,ld(A,A)),X_134))
    | rd(ld(A,A),ld(X_134,ld(A,A))) = mult(X_134,mult(ld(X_134,ld(A,A)),X_134)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(ld(A,A),ld(A,A)),ld(X_134,ld(A,A))),mult(X_134,mult(ld(X_134,ld(A,A)),X_134))) ),[0,0],$fot(ld(A,A))]]) ).

cnf(refute_0_147,plain,
    ( rd(mult(ld(A,A),ld(A,A)),ld(X_134,ld(A,A))) != mult(X_134,mult(ld(X_134,ld(A,A)),X_134))
    | rd(ld(A,A),ld(X_134,ld(A,A))) = mult(X_134,mult(ld(X_134,ld(A,A)),X_134)) ),
    inference(resolve,[$cnf( $equal(mult(ld(A,A),ld(A,A)),ld(A,A)) )],[refute_0_145,refute_0_146]) ).

cnf(refute_0_148,plain,
    rd(ld(A,A),ld(X_134,ld(A,A))) = mult(X_134,mult(ld(X_134,ld(A,A)),X_134)),
    inference(resolve,[$cnf( $equal(rd(mult(ld(A,A),ld(A,A)),ld(X_134,ld(A,A))),mult(X_134,mult(ld(X_134,ld(A,A)),X_134))) )],[refute_0_31,refute_0_147]) ).

cnf(refute_0_149,plain,
    rd(ld(A,A),ld(X_134,ld(A,A))) = X_134,
    inference(subst,[],[refute_0_8:[bind(B,$fot(ld(A,A))),bind(X_8,$fot(X_134))]]) ).

cnf(refute_0_150,plain,
    ( rd(ld(A,A),ld(X_134,ld(A,A))) != X_134
    | rd(ld(A,A),ld(X_134,ld(A,A))) != mult(X_134,mult(ld(X_134,ld(A,A)),X_134))
    | X_134 = mult(X_134,mult(ld(X_134,ld(A,A)),X_134)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(ld(A,A),ld(X_134,ld(A,A))),mult(X_134,mult(ld(X_134,ld(A,A)),X_134))) ),[0],$fot(X_134)]]) ).

cnf(refute_0_151,plain,
    ( rd(ld(A,A),ld(X_134,ld(A,A))) != mult(X_134,mult(ld(X_134,ld(A,A)),X_134))
    | X_134 = mult(X_134,mult(ld(X_134,ld(A,A)),X_134)) ),
    inference(resolve,[$cnf( $equal(rd(ld(A,A),ld(X_134,ld(A,A))),X_134) )],[refute_0_149,refute_0_150]) ).

cnf(refute_0_152,plain,
    ld(mult(X_35,X_36),mult(mult(X_35,X_36),mult(ld(X_36,X_34),X_36))) = mult(ld(X_36,X_34),X_36),
    inference(subst,[],[refute_0_10:[bind(A,$fot(mult(X_35,X_36))),bind(B,$fot(mult(ld(X_36,X_34),X_36)))]]) ).

cnf(refute_0_153,plain,
    mult(mult(X_12,mult(X_13,ld(X_13,B))),X_13) = mult(mult(X_12,X_13),mult(ld(X_13,B),X_13)),
    inference(subst,[],[refute_0_12:[bind(A,$fot(X_12)),bind(B,$fot(X_13)),bind(C,$fot(ld(X_13,B)))]]) ).

cnf(refute_0_154,plain,
    mult(X_13,ld(X_13,B)) = B,
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_13))]]) ).

cnf(refute_0_155,plain,
    ( mult(X_13,ld(X_13,B)) != B
    | mult(mult(X_12,mult(X_13,ld(X_13,B))),X_13) != mult(mult(X_12,X_13),mult(ld(X_13,B),X_13))
    | mult(mult(X_12,B),X_13) = mult(mult(X_12,X_13),mult(ld(X_13,B),X_13)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_12,mult(X_13,ld(X_13,B))),X_13),mult(mult(X_12,X_13),mult(ld(X_13,B),X_13))) ),[0,0,1],$fot(B)]]) ).

cnf(refute_0_156,plain,
    ( mult(mult(X_12,mult(X_13,ld(X_13,B))),X_13) != mult(mult(X_12,X_13),mult(ld(X_13,B),X_13))
    | mult(mult(X_12,B),X_13) = mult(mult(X_12,X_13),mult(ld(X_13,B),X_13)) ),
    inference(resolve,[$cnf( $equal(mult(X_13,ld(X_13,B)),B) )],[refute_0_154,refute_0_155]) ).

cnf(refute_0_157,plain,
    mult(mult(X_12,B),X_13) = mult(mult(X_12,X_13),mult(ld(X_13,B),X_13)),
    inference(resolve,[$cnf( $equal(mult(mult(X_12,mult(X_13,ld(X_13,B))),X_13),mult(mult(X_12,X_13),mult(ld(X_13,B),X_13))) )],[refute_0_153,refute_0_156]) ).

cnf(refute_0_158,plain,
    mult(mult(X_35,X_34),X_36) = mult(mult(X_35,X_36),mult(ld(X_36,X_34),X_36)),
    inference(subst,[],[refute_0_157:[bind(B,$fot(X_34)),bind(X_12,$fot(X_35)),bind(X_13,$fot(X_36))]]) ).

cnf(refute_0_159,plain,
    ( mult(mult(X_35,X_34),X_36) != mult(mult(X_35,X_36),mult(ld(X_36,X_34),X_36))
    | mult(mult(X_35,X_36),mult(ld(X_36,X_34),X_36)) = mult(mult(X_35,X_34),X_36) ),
    inference(subst,[],[refute_0_61:[bind(X,$fot(mult(mult(X_35,X_34),X_36))),bind(Y,$fot(mult(mult(X_35,X_36),mult(ld(X_36,X_34),X_36))))]]) ).

cnf(refute_0_160,plain,
    mult(mult(X_35,X_36),mult(ld(X_36,X_34),X_36)) = mult(mult(X_35,X_34),X_36),
    inference(resolve,[$cnf( $equal(mult(mult(X_35,X_34),X_36),mult(mult(X_35,X_36),mult(ld(X_36,X_34),X_36))) )],[refute_0_158,refute_0_159]) ).

cnf(refute_0_161,plain,
    ( ld(mult(X_35,X_36),mult(mult(X_35,X_36),mult(ld(X_36,X_34),X_36))) != mult(ld(X_36,X_34),X_36)
    | mult(mult(X_35,X_36),mult(ld(X_36,X_34),X_36)) != mult(mult(X_35,X_34),X_36)
    | ld(mult(X_35,X_36),mult(mult(X_35,X_34),X_36)) = mult(ld(X_36,X_34),X_36) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_35,X_36),mult(mult(X_35,X_36),mult(ld(X_36,X_34),X_36))),mult(ld(X_36,X_34),X_36)) ),[0,1],$fot(mult(mult(X_35,X_34),X_36))]]) ).

cnf(refute_0_162,plain,
    ( ld(mult(X_35,X_36),mult(mult(X_35,X_36),mult(ld(X_36,X_34),X_36))) != mult(ld(X_36,X_34),X_36)
    | ld(mult(X_35,X_36),mult(mult(X_35,X_34),X_36)) = mult(ld(X_36,X_34),X_36) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_35,X_36),mult(ld(X_36,X_34),X_36)),mult(mult(X_35,X_34),X_36)) )],[refute_0_160,refute_0_161]) ).

cnf(refute_0_163,plain,
    ld(mult(X_35,X_36),mult(mult(X_35,X_34),X_36)) = mult(ld(X_36,X_34),X_36),
    inference(resolve,[$cnf( $equal(ld(mult(X_35,X_36),mult(mult(X_35,X_36),mult(ld(X_36,X_34),X_36))),mult(ld(X_36,X_34),X_36)) )],[refute_0_152,refute_0_162]) ).

cnf(refute_0_164,plain,
    ld(mult(X_106,X_107),mult(mult(X_106,ld(X_106,B)),X_107)) = mult(ld(X_107,ld(X_106,B)),X_107),
    inference(subst,[],[refute_0_163:[bind(X_34,$fot(ld(X_106,B))),bind(X_35,$fot(X_106)),bind(X_36,$fot(X_107))]]) ).

cnf(refute_0_165,plain,
    mult(X_106,ld(X_106,B)) = B,
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_106))]]) ).

cnf(refute_0_166,plain,
    ( ld(mult(X_106,X_107),mult(mult(X_106,ld(X_106,B)),X_107)) != mult(ld(X_107,ld(X_106,B)),X_107)
    | mult(X_106,ld(X_106,B)) != B
    | ld(mult(X_106,X_107),mult(B,X_107)) = mult(ld(X_107,ld(X_106,B)),X_107) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_106,X_107),mult(mult(X_106,ld(X_106,B)),X_107)),mult(ld(X_107,ld(X_106,B)),X_107)) ),[0,1,0],$fot(B)]]) ).

cnf(refute_0_167,plain,
    ( ld(mult(X_106,X_107),mult(mult(X_106,ld(X_106,B)),X_107)) != mult(ld(X_107,ld(X_106,B)),X_107)
    | ld(mult(X_106,X_107),mult(B,X_107)) = mult(ld(X_107,ld(X_106,B)),X_107) ),
    inference(resolve,[$cnf( $equal(mult(X_106,ld(X_106,B)),B) )],[refute_0_165,refute_0_166]) ).

cnf(refute_0_168,plain,
    ld(mult(X_106,X_107),mult(B,X_107)) = mult(ld(X_107,ld(X_106,B)),X_107),
    inference(resolve,[$cnf( $equal(ld(mult(X_106,X_107),mult(mult(X_106,ld(X_106,B)),X_107)),mult(ld(X_107,ld(X_106,B)),X_107)) )],[refute_0_164,refute_0_167]) ).

cnf(refute_0_169,plain,
    ( ld(mult(X_106,X_107),mult(B,X_107)) != mult(ld(X_107,ld(X_106,B)),X_107)
    | mult(ld(X_107,ld(X_106,B)),X_107) = ld(mult(X_106,X_107),mult(B,X_107)) ),
    inference(subst,[],[refute_0_61:[bind(X,$fot(ld(mult(X_106,X_107),mult(B,X_107)))),bind(Y,$fot(mult(ld(X_107,ld(X_106,B)),X_107)))]]) ).

cnf(refute_0_170,plain,
    mult(ld(X_107,ld(X_106,B)),X_107) = ld(mult(X_106,X_107),mult(B,X_107)),
    inference(resolve,[$cnf( $equal(ld(mult(X_106,X_107),mult(B,X_107)),mult(ld(X_107,ld(X_106,B)),X_107)) )],[refute_0_168,refute_0_169]) ).

cnf(refute_0_171,plain,
    mult(ld(X_134,ld(A,A)),X_134) = ld(mult(A,X_134),mult(A,X_134)),
    inference(subst,[],[refute_0_170:[bind(B,$fot(A)),bind(X_106,$fot(A)),bind(X_107,$fot(X_134))]]) ).

cnf(refute_0_172,plain,
    mult(X_134,mult(ld(X_134,ld(A,A)),X_134)) = mult(X_134,mult(ld(X_134,ld(A,A)),X_134)),
    introduced(tautology,[refl,[$fot(mult(X_134,mult(ld(X_134,ld(A,A)),X_134)))]]) ).

cnf(refute_0_173,plain,
    ( mult(X_134,mult(ld(X_134,ld(A,A)),X_134)) != mult(X_134,mult(ld(X_134,ld(A,A)),X_134))
    | mult(ld(X_134,ld(A,A)),X_134) != ld(mult(A,X_134),mult(A,X_134))
    | mult(X_134,mult(ld(X_134,ld(A,A)),X_134)) = mult(X_134,ld(mult(A,X_134),mult(A,X_134))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_134,mult(ld(X_134,ld(A,A)),X_134)),mult(X_134,mult(ld(X_134,ld(A,A)),X_134))) ),[1,1],$fot(ld(mult(A,X_134),mult(A,X_134)))]]) ).

cnf(refute_0_174,plain,
    ( mult(ld(X_134,ld(A,A)),X_134) != ld(mult(A,X_134),mult(A,X_134))
    | mult(X_134,mult(ld(X_134,ld(A,A)),X_134)) = mult(X_134,ld(mult(A,X_134),mult(A,X_134))) ),
    inference(resolve,[$cnf( $equal(mult(X_134,mult(ld(X_134,ld(A,A)),X_134)),mult(X_134,mult(ld(X_134,ld(A,A)),X_134))) )],[refute_0_172,refute_0_173]) ).

cnf(refute_0_175,plain,
    mult(X_134,mult(ld(X_134,ld(A,A)),X_134)) = mult(X_134,ld(mult(A,X_134),mult(A,X_134))),
    inference(resolve,[$cnf( $equal(mult(ld(X_134,ld(A,A)),X_134),ld(mult(A,X_134),mult(A,X_134))) )],[refute_0_171,refute_0_174]) ).

cnf(refute_0_176,plain,
    ( X_134 != mult(X_134,mult(ld(X_134,ld(A,A)),X_134))
    | mult(X_134,mult(ld(X_134,ld(A,A)),X_134)) != mult(X_134,ld(mult(A,X_134),mult(A,X_134)))
    | X_134 = mult(X_134,ld(mult(A,X_134),mult(A,X_134))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_134,mult(X_134,ld(mult(A,X_134),mult(A,X_134)))) ),[0],$fot(mult(X_134,mult(ld(X_134,ld(A,A)),X_134)))]]) ).

cnf(refute_0_177,plain,
    ( X_134 != mult(X_134,mult(ld(X_134,ld(A,A)),X_134))
    | X_134 = mult(X_134,ld(mult(A,X_134),mult(A,X_134))) ),
    inference(resolve,[$cnf( $equal(mult(X_134,mult(ld(X_134,ld(A,A)),X_134)),mult(X_134,ld(mult(A,X_134),mult(A,X_134)))) )],[refute_0_175,refute_0_176]) ).

cnf(refute_0_178,plain,
    ( rd(ld(A,A),ld(X_134,ld(A,A))) != mult(X_134,mult(ld(X_134,ld(A,A)),X_134))
    | X_134 = mult(X_134,ld(mult(A,X_134),mult(A,X_134))) ),
    inference(resolve,[$cnf( $equal(X_134,mult(X_134,mult(ld(X_134,ld(A,A)),X_134))) )],[refute_0_151,refute_0_177]) ).

cnf(refute_0_179,plain,
    X_134 = mult(X_134,ld(mult(A,X_134),mult(A,X_134))),
    inference(resolve,[$cnf( $equal(rd(ld(A,A),ld(X_134,ld(A,A))),mult(X_134,mult(ld(X_134,ld(A,A)),X_134))) )],[refute_0_148,refute_0_178]) ).

cnf(refute_0_180,plain,
    X_136 = mult(X_136,ld(mult(rd(A,X_136),X_136),mult(rd(A,X_136),X_136))),
    inference(subst,[],[refute_0_179:[bind(A,$fot(rd(A,X_136))),bind(X_134,$fot(X_136))]]) ).

cnf(refute_0_181,plain,
    mult(rd(A,X_136),X_136) = A,
    inference(subst,[],[refute_0_38:[bind(B,$fot(X_136))]]) ).

cnf(refute_0_182,plain,
    ( X_136 != mult(X_136,ld(mult(rd(A,X_136),X_136),mult(rd(A,X_136),X_136)))
    | mult(rd(A,X_136),X_136) != A
    | X_136 = mult(X_136,ld(mult(rd(A,X_136),X_136),A)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_136,mult(X_136,ld(mult(rd(A,X_136),X_136),mult(rd(A,X_136),X_136)))) ),[1,1,1],$fot(A)]]) ).

cnf(refute_0_183,plain,
    ( X_136 != mult(X_136,ld(mult(rd(A,X_136),X_136),mult(rd(A,X_136),X_136)))
    | X_136 = mult(X_136,ld(mult(rd(A,X_136),X_136),A)) ),
    inference(resolve,[$cnf( $equal(mult(rd(A,X_136),X_136),A) )],[refute_0_181,refute_0_182]) ).

cnf(refute_0_184,plain,
    X_136 = mult(X_136,ld(mult(rd(A,X_136),X_136),A)),
    inference(resolve,[$cnf( $equal(X_136,mult(X_136,ld(mult(rd(A,X_136),X_136),mult(rd(A,X_136),X_136)))) )],[refute_0_180,refute_0_183]) ).

cnf(refute_0_185,plain,
    ld(mult(rd(A,X_136),X_136),A) = ld(mult(rd(A,X_136),X_136),A),
    introduced(tautology,[refl,[$fot(ld(mult(rd(A,X_136),X_136),A))]]) ).

cnf(refute_0_186,plain,
    ( ld(mult(rd(A,X_136),X_136),A) != ld(mult(rd(A,X_136),X_136),A)
    | mult(rd(A,X_136),X_136) != A
    | ld(mult(rd(A,X_136),X_136),A) = ld(A,A) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(rd(A,X_136),X_136),A),ld(mult(rd(A,X_136),X_136),A)) ),[1,0],$fot(A)]]) ).

cnf(refute_0_187,plain,
    ( mult(rd(A,X_136),X_136) != A
    | ld(mult(rd(A,X_136),X_136),A) = ld(A,A) ),
    inference(resolve,[$cnf( $equal(ld(mult(rd(A,X_136),X_136),A),ld(mult(rd(A,X_136),X_136),A)) )],[refute_0_185,refute_0_186]) ).

cnf(refute_0_188,plain,
    ld(mult(rd(A,X_136),X_136),A) = ld(A,A),
    inference(resolve,[$cnf( $equal(mult(rd(A,X_136),X_136),A) )],[refute_0_181,refute_0_187]) ).

cnf(refute_0_189,plain,
    mult(X_136,ld(mult(rd(A,X_136),X_136),A)) = mult(X_136,ld(mult(rd(A,X_136),X_136),A)),
    introduced(tautology,[refl,[$fot(mult(X_136,ld(mult(rd(A,X_136),X_136),A)))]]) ).

cnf(refute_0_190,plain,
    ( ld(mult(rd(A,X_136),X_136),A) != ld(A,A)
    | mult(X_136,ld(mult(rd(A,X_136),X_136),A)) != mult(X_136,ld(mult(rd(A,X_136),X_136),A))
    | mult(X_136,ld(mult(rd(A,X_136),X_136),A)) = mult(X_136,ld(A,A)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_136,ld(mult(rd(A,X_136),X_136),A)),mult(X_136,ld(mult(rd(A,X_136),X_136),A))) ),[1,1],$fot(ld(A,A))]]) ).

cnf(refute_0_191,plain,
    ( ld(mult(rd(A,X_136),X_136),A) != ld(A,A)
    | mult(X_136,ld(mult(rd(A,X_136),X_136),A)) = mult(X_136,ld(A,A)) ),
    inference(resolve,[$cnf( $equal(mult(X_136,ld(mult(rd(A,X_136),X_136),A)),mult(X_136,ld(mult(rd(A,X_136),X_136),A))) )],[refute_0_189,refute_0_190]) ).

cnf(refute_0_192,plain,
    mult(X_136,ld(mult(rd(A,X_136),X_136),A)) = mult(X_136,ld(A,A)),
    inference(resolve,[$cnf( $equal(ld(mult(rd(A,X_136),X_136),A),ld(A,A)) )],[refute_0_188,refute_0_191]) ).

cnf(refute_0_193,plain,
    ( X_136 != mult(X_136,ld(mult(rd(A,X_136),X_136),A))
    | mult(X_136,ld(mult(rd(A,X_136),X_136),A)) != mult(X_136,ld(A,A))
    | X_136 = mult(X_136,ld(A,A)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_136,mult(X_136,ld(A,A))) ),[0],$fot(mult(X_136,ld(mult(rd(A,X_136),X_136),A)))]]) ).

cnf(refute_0_194,plain,
    ( X_136 != mult(X_136,ld(mult(rd(A,X_136),X_136),A))
    | X_136 = mult(X_136,ld(A,A)) ),
    inference(resolve,[$cnf( $equal(mult(X_136,ld(mult(rd(A,X_136),X_136),A)),mult(X_136,ld(A,A))) )],[refute_0_192,refute_0_193]) ).

cnf(refute_0_195,plain,
    X_136 = mult(X_136,ld(A,A)),
    inference(resolve,[$cnf( $equal(X_136,mult(X_136,ld(mult(rd(A,X_136),X_136),A))) )],[refute_0_184,refute_0_194]) ).

cnf(refute_0_196,plain,
    skolemFOFtoCNF_X1_1(ld(X_139,X_139)) = mult(skolemFOFtoCNF_X1_1(ld(X_139,X_139)),ld(X_139,X_139)),
    inference(subst,[],[refute_0_195:[bind(A,$fot(X_139)),bind(X_136,$fot(skolemFOFtoCNF_X1_1(ld(X_139,X_139))))]]) ).

cnf(refute_0_197,plain,
    ( skolemFOFtoCNF_X1_1(ld(X_139,X_139)) != mult(skolemFOFtoCNF_X1_1(ld(X_139,X_139)),ld(X_139,X_139))
    | mult(skolemFOFtoCNF_X1_1(ld(X_139,X_139)),ld(X_139,X_139)) = skolemFOFtoCNF_X1_1(ld(X_139,X_139)) ),
    inference(subst,[],[refute_0_61:[bind(X,$fot(skolemFOFtoCNF_X1_1(ld(X_139,X_139)))),bind(Y,$fot(mult(skolemFOFtoCNF_X1_1(ld(X_139,X_139)),ld(X_139,X_139))))]]) ).

cnf(refute_0_198,plain,
    mult(skolemFOFtoCNF_X1_1(ld(X_139,X_139)),ld(X_139,X_139)) = skolemFOFtoCNF_X1_1(ld(X_139,X_139)),
    inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1_1(ld(X_139,X_139)),mult(skolemFOFtoCNF_X1_1(ld(X_139,X_139)),ld(X_139,X_139))) )],[refute_0_196,refute_0_197]) ).

cnf(refute_0_199,plain,
    ( mult(skolemFOFtoCNF_X1_1(ld(X_139,X_139)),ld(X_139,X_139)) != skolemFOFtoCNF_X1_1(ld(X_139,X_139))
    | skolemFOFtoCNF_X1_1(ld(X_139,X_139)) != skolemFOFtoCNF_X1_1(ld(X_139,X_139))
    | mult(skolemFOFtoCNF_X1_1(ld(X_139,X_139)),ld(X_139,X_139)) = skolemFOFtoCNF_X1_1(ld(X_139,X_139)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(mult(skolemFOFtoCNF_X1_1(ld(X_139,X_139)),ld(X_139,X_139)),skolemFOFtoCNF_X1_1(ld(X_139,X_139))) ),[0],$fot(skolemFOFtoCNF_X1_1(ld(X_139,X_139)))]]) ).

cnf(refute_0_200,plain,
    ( skolemFOFtoCNF_X1_1(ld(X_139,X_139)) != skolemFOFtoCNF_X1_1(ld(X_139,X_139))
    | mult(skolemFOFtoCNF_X1_1(ld(X_139,X_139)),ld(X_139,X_139)) = skolemFOFtoCNF_X1_1(ld(X_139,X_139)) ),
    inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X1_1(ld(X_139,X_139)),ld(X_139,X_139)),skolemFOFtoCNF_X1_1(ld(X_139,X_139))) )],[refute_0_198,refute_0_199]) ).

cnf(refute_0_201,plain,
    ( mult(ld(X_139,X_139),skolemFOFtoCNF_X1(ld(X_139,X_139))) != skolemFOFtoCNF_X1(ld(X_139,X_139))
    | skolemFOFtoCNF_X1_1(ld(X_139,X_139)) != skolemFOFtoCNF_X1_1(ld(X_139,X_139)) ),
    inference(resolve,[$cnf( $equal(mult(skolemFOFtoCNF_X1_1(ld(X_139,X_139)),ld(X_139,X_139)),skolemFOFtoCNF_X1_1(ld(X_139,X_139))) )],[refute_0_200,refute_0_1]) ).

cnf(refute_0_202,plain,
    skolemFOFtoCNF_X1_1(ld(X_139,X_139)) = skolemFOFtoCNF_X1_1(ld(X_139,X_139)),
    introduced(tautology,[refl,[$fot(skolemFOFtoCNF_X1_1(ld(X_139,X_139)))]]) ).

cnf(refute_0_203,plain,
    mult(ld(X_139,X_139),skolemFOFtoCNF_X1(ld(X_139,X_139))) != skolemFOFtoCNF_X1(ld(X_139,X_139)),
    inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1_1(ld(X_139,X_139)),skolemFOFtoCNF_X1_1(ld(X_139,X_139))) )],[refute_0_202,refute_0_201]) ).

cnf(refute_0_204,plain,
    rd(mult(mult(rd(A,X_19),X_19),mult(X_21,X_19)),X_19) = mult(rd(A,X_19),mult(X_19,X_21)),
    inference(subst,[],[refute_0_36:[bind(B,$fot(X_19)),bind(X_12,$fot(rd(A,X_19))),bind(X_14,$fot(X_21))]]) ).

cnf(refute_0_205,plain,
    ( mult(rd(A,X_19),X_19) != A
    | rd(mult(mult(rd(A,X_19),X_19),mult(X_21,X_19)),X_19) != mult(rd(A,X_19),mult(X_19,X_21))
    | rd(mult(A,mult(X_21,X_19)),X_19) = mult(rd(A,X_19),mult(X_19,X_21)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(rd(A,X_19),X_19),mult(X_21,X_19)),X_19),mult(rd(A,X_19),mult(X_19,X_21))) ),[0,0,0],$fot(A)]]) ).

cnf(refute_0_206,plain,
    ( rd(mult(mult(rd(A,X_19),X_19),mult(X_21,X_19)),X_19) != mult(rd(A,X_19),mult(X_19,X_21))
    | rd(mult(A,mult(X_21,X_19)),X_19) = mult(rd(A,X_19),mult(X_19,X_21)) ),
    inference(resolve,[$cnf( $equal(mult(rd(A,X_19),X_19),A) )],[refute_0_39,refute_0_205]) ).

cnf(refute_0_207,plain,
    rd(mult(A,mult(X_21,X_19)),X_19) = mult(rd(A,X_19),mult(X_19,X_21)),
    inference(resolve,[$cnf( $equal(rd(mult(mult(rd(A,X_19),X_19),mult(X_21,X_19)),X_19),mult(rd(A,X_19),mult(X_19,X_21))) )],[refute_0_204,refute_0_206]) ).

cnf(refute_0_208,plain,
    rd(mult(X_19,mult(ld(X_19,X_133),X_19)),X_19) = mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133))),
    inference(subst,[],[refute_0_207:[bind(A,$fot(X_19)),bind(X_21,$fot(ld(X_19,X_133)))]]) ).

cnf(refute_0_209,plain,
    rd(mult(X_133,X_133),ld(X_19,X_133)) = mult(X_19,mult(ld(X_19,X_133),X_19)),
    inference(subst,[],[refute_0_30:[bind(X_130,$fot(X_133)),bind(X_131,$fot(X_19))]]) ).

cnf(refute_0_210,plain,
    ( rd(mult(X_133,X_133),ld(X_19,X_133)) != mult(X_19,mult(ld(X_19,X_133),X_19))
    | mult(X_19,mult(ld(X_19,X_133),X_19)) = rd(mult(X_133,X_133),ld(X_19,X_133)) ),
    inference(subst,[],[refute_0_61:[bind(X,$fot(rd(mult(X_133,X_133),ld(X_19,X_133)))),bind(Y,$fot(mult(X_19,mult(ld(X_19,X_133),X_19))))]]) ).

cnf(refute_0_211,plain,
    mult(X_19,mult(ld(X_19,X_133),X_19)) = rd(mult(X_133,X_133),ld(X_19,X_133)),
    inference(resolve,[$cnf( $equal(rd(mult(X_133,X_133),ld(X_19,X_133)),mult(X_19,mult(ld(X_19,X_133),X_19))) )],[refute_0_209,refute_0_210]) ).

cnf(refute_0_212,plain,
    ( mult(X_19,mult(ld(X_19,X_133),X_19)) != rd(mult(X_133,X_133),ld(X_19,X_133))
    | rd(mult(X_19,mult(ld(X_19,X_133),X_19)),X_19) != mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133)))
    | rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19) = mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133))) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_19,mult(ld(X_19,X_133),X_19)),X_19),mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133)))) ),[0,0],$fot(rd(mult(X_133,X_133),ld(X_19,X_133)))]]) ).

cnf(refute_0_213,plain,
    ( rd(mult(X_19,mult(ld(X_19,X_133),X_19)),X_19) != mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133)))
    | rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19) = mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133))) ),
    inference(resolve,[$cnf( $equal(mult(X_19,mult(ld(X_19,X_133),X_19)),rd(mult(X_133,X_133),ld(X_19,X_133))) )],[refute_0_211,refute_0_212]) ).

cnf(refute_0_214,plain,
    rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19) = mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133))),
    inference(resolve,[$cnf( $equal(rd(mult(X_19,mult(ld(X_19,X_133),X_19)),X_19),mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133)))) )],[refute_0_208,refute_0_213]) ).

cnf(refute_0_215,plain,
    mult(X_19,ld(X_19,X_133)) = X_133,
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_19)),bind(B,$fot(X_133))]]) ).

cnf(refute_0_216,plain,
    mult(ld(X_19,X_19),mult(X_19,ld(X_19,X_133))) = mult(ld(X_19,X_19),mult(X_19,ld(X_19,X_133))),
    introduced(tautology,[refl,[$fot(mult(ld(X_19,X_19),mult(X_19,ld(X_19,X_133))))]]) ).

cnf(refute_0_217,plain,
    ( mult(X_19,ld(X_19,X_133)) != X_133
    | mult(ld(X_19,X_19),mult(X_19,ld(X_19,X_133))) != mult(ld(X_19,X_19),mult(X_19,ld(X_19,X_133)))
    | mult(ld(X_19,X_19),mult(X_19,ld(X_19,X_133))) = mult(ld(X_19,X_19),X_133) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(ld(X_19,X_19),mult(X_19,ld(X_19,X_133))),mult(ld(X_19,X_19),mult(X_19,ld(X_19,X_133)))) ),[1,1],$fot(X_133)]]) ).

cnf(refute_0_218,plain,
    ( mult(X_19,ld(X_19,X_133)) != X_133
    | mult(ld(X_19,X_19),mult(X_19,ld(X_19,X_133))) = mult(ld(X_19,X_19),X_133) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_19,X_19),mult(X_19,ld(X_19,X_133))),mult(ld(X_19,X_19),mult(X_19,ld(X_19,X_133)))) )],[refute_0_216,refute_0_217]) ).

cnf(refute_0_219,plain,
    mult(ld(X_19,X_19),mult(X_19,ld(X_19,X_133))) = mult(ld(X_19,X_19),X_133),
    inference(resolve,[$cnf( $equal(mult(X_19,ld(X_19,X_133)),X_133) )],[refute_0_215,refute_0_218]) ).

cnf(refute_0_220,plain,
    rd(X_19,X_19) = ld(X_19,X_19),
    inference(subst,[],[refute_0_125:[bind(A,$fot(X_19))]]) ).

cnf(refute_0_221,plain,
    mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133))) = mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133))),
    introduced(tautology,[refl,[$fot(mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133))))]]) ).

cnf(refute_0_222,plain,
    ( mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133))) != mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133)))
    | rd(X_19,X_19) != ld(X_19,X_19)
    | mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133))) = mult(ld(X_19,X_19),mult(X_19,ld(X_19,X_133))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133))),mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133)))) ),[1,0],$fot(ld(X_19,X_19))]]) ).

cnf(refute_0_223,plain,
    ( rd(X_19,X_19) != ld(X_19,X_19)
    | mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133))) = mult(ld(X_19,X_19),mult(X_19,ld(X_19,X_133))) ),
    inference(resolve,[$cnf( $equal(mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133))),mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133)))) )],[refute_0_221,refute_0_222]) ).

cnf(refute_0_224,plain,
    mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133))) = mult(ld(X_19,X_19),mult(X_19,ld(X_19,X_133))),
    inference(resolve,[$cnf( $equal(rd(X_19,X_19),ld(X_19,X_19)) )],[refute_0_220,refute_0_223]) ).

cnf(refute_0_225,plain,
    ( mult(ld(X_19,X_19),mult(X_19,ld(X_19,X_133))) != mult(ld(X_19,X_19),X_133)
    | mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133))) != mult(ld(X_19,X_19),mult(X_19,ld(X_19,X_133)))
    | mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133))) = mult(ld(X_19,X_19),X_133) ),
    inference(subst,[],[refute_0_89:[bind(X,$fot(mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133))))),bind(Y,$fot(mult(ld(X_19,X_19),mult(X_19,ld(X_19,X_133))))),bind(Z,$fot(mult(ld(X_19,X_19),X_133)))]]) ).

cnf(refute_0_226,plain,
    ( mult(ld(X_19,X_19),mult(X_19,ld(X_19,X_133))) != mult(ld(X_19,X_19),X_133)
    | mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133))) = mult(ld(X_19,X_19),X_133) ),
    inference(resolve,[$cnf( $equal(mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133))),mult(ld(X_19,X_19),mult(X_19,ld(X_19,X_133)))) )],[refute_0_224,refute_0_225]) ).

cnf(refute_0_227,plain,
    mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133))) = mult(ld(X_19,X_19),X_133),
    inference(resolve,[$cnf( $equal(mult(ld(X_19,X_19),mult(X_19,ld(X_19,X_133))),mult(ld(X_19,X_19),X_133)) )],[refute_0_219,refute_0_226]) ).

cnf(refute_0_228,plain,
    ( mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133))) != mult(ld(X_19,X_19),X_133)
    | rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19) != mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133)))
    | rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19) = mult(ld(X_19,X_19),X_133) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19),mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133)))) ),[1],$fot(mult(ld(X_19,X_19),X_133))]]) ).

cnf(refute_0_229,plain,
    ( rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19) != mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133)))
    | rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19) = mult(ld(X_19,X_19),X_133) ),
    inference(resolve,[$cnf( $equal(mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133))),mult(ld(X_19,X_19),X_133)) )],[refute_0_227,refute_0_228]) ).

cnf(refute_0_230,plain,
    rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19) = mult(ld(X_19,X_19),X_133),
    inference(resolve,[$cnf( $equal(rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19),mult(rd(X_19,X_19),mult(X_19,ld(X_19,X_133)))) )],[refute_0_214,refute_0_229]) ).

cnf(refute_0_231,plain,
    rd(mult(X_133,X_19),X_19) = X_133,
    inference(subst,[],[refute_0_2:[bind(A,$fot(X_133)),bind(B,$fot(X_19))]]) ).

cnf(refute_0_232,plain,
    mult(X_131,ld(X_131,mult(X_130,X_131))) = mult(X_130,X_131),
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_131)),bind(B,$fot(mult(X_130,X_131)))]]) ).

cnf(refute_0_233,plain,
    ld(mult(ld(X_105,X_105),X_107),mult(mult(ld(X_105,X_105),X_105),X_107)) = mult(ld(X_107,X_105),X_107),
    inference(subst,[],[refute_0_163:[bind(X_34,$fot(X_105)),bind(X_35,$fot(ld(X_105,X_105))),bind(X_36,$fot(X_107))]]) ).

cnf(refute_0_234,plain,
    mult(ld(X_105,X_105),X_105) = X_105,
    inference(subst,[],[refute_0_119:[bind(B,$fot(X_105))]]) ).

cnf(refute_0_235,plain,
    ( ld(mult(ld(X_105,X_105),X_107),mult(mult(ld(X_105,X_105),X_105),X_107)) != mult(ld(X_107,X_105),X_107)
    | mult(ld(X_105,X_105),X_105) != X_105
    | ld(mult(ld(X_105,X_105),X_107),mult(X_105,X_107)) = mult(ld(X_107,X_105),X_107) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(ld(X_105,X_105),X_107),mult(mult(ld(X_105,X_105),X_105),X_107)),mult(ld(X_107,X_105),X_107)) ),[0,1,0],$fot(X_105)]]) ).

cnf(refute_0_236,plain,
    ( ld(mult(ld(X_105,X_105),X_107),mult(mult(ld(X_105,X_105),X_105),X_107)) != mult(ld(X_107,X_105),X_107)
    | ld(mult(ld(X_105,X_105),X_107),mult(X_105,X_107)) = mult(ld(X_107,X_105),X_107) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_105,X_105),X_105),X_105) )],[refute_0_234,refute_0_235]) ).

cnf(refute_0_237,plain,
    ld(mult(ld(X_105,X_105),X_107),mult(X_105,X_107)) = mult(ld(X_107,X_105),X_107),
    inference(resolve,[$cnf( $equal(ld(mult(ld(X_105,X_105),X_107),mult(mult(ld(X_105,X_105),X_105),X_107)),mult(ld(X_107,X_105),X_107)) )],[refute_0_233,refute_0_236]) ).

cnf(refute_0_238,plain,
    ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,ld(X_107,X_107)),X_107)) = mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107),
    inference(subst,[],[refute_0_237:[bind(X_105,$fot(mult(X_123,ld(X_107,X_107))))]]) ).

cnf(refute_0_239,plain,
    mult(mult(A,mult(rd(C,C),C)),rd(C,C)) = mult(mult(A,rd(C,C)),mult(C,rd(C,C))),
    inference(subst,[],[refute_0_12:[bind(B,$fot(rd(C,C)))]]) ).

cnf(refute_0_240,plain,
    C = mult(C,rd(C,C)),
    inference(subst,[],[refute_0_57:[bind(X_28,$fot(C))]]) ).

cnf(refute_0_241,plain,
    ( C != mult(C,rd(C,C))
    | mult(C,rd(C,C)) = C ),
    inference(subst,[],[refute_0_61:[bind(X,$fot(C)),bind(Y,$fot(mult(C,rd(C,C))))]]) ).

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

cnf(refute_0_243,plain,
    ( mult(C,rd(C,C)) != C
    | mult(mult(A,mult(rd(C,C),C)),rd(C,C)) != mult(mult(A,rd(C,C)),mult(C,rd(C,C)))
    | mult(mult(A,mult(rd(C,C),C)),rd(C,C)) = mult(mult(A,rd(C,C)),C) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(A,mult(rd(C,C),C)),rd(C,C)),mult(mult(A,rd(C,C)),mult(C,rd(C,C)))) ),[1,1],$fot(C)]]) ).

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

cnf(refute_0_245,plain,
    mult(mult(A,mult(rd(C,C),C)),rd(C,C)) = mult(mult(A,rd(C,C)),C),
    inference(resolve,[$cnf( $equal(mult(mult(A,mult(rd(C,C),C)),rd(C,C)),mult(mult(A,rd(C,C)),mult(C,rd(C,C)))) )],[refute_0_239,refute_0_244]) ).

cnf(refute_0_246,plain,
    mult(mult(X_12,mult(rd(A,X_14),X_14)),rd(A,X_14)) = mult(mult(X_12,rd(A,X_14)),mult(X_14,rd(A,X_14))),
    inference(subst,[],[refute_0_12:[bind(A,$fot(X_12)),bind(B,$fot(rd(A,X_14))),bind(C,$fot(X_14))]]) ).

cnf(refute_0_247,plain,
    mult(rd(A,X_14),X_14) = A,
    inference(subst,[],[refute_0_38:[bind(B,$fot(X_14))]]) ).

cnf(refute_0_248,plain,
    ( mult(mult(X_12,mult(rd(A,X_14),X_14)),rd(A,X_14)) != mult(mult(X_12,rd(A,X_14)),mult(X_14,rd(A,X_14)))
    | mult(rd(A,X_14),X_14) != A
    | mult(mult(X_12,A),rd(A,X_14)) = mult(mult(X_12,rd(A,X_14)),mult(X_14,rd(A,X_14))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_12,mult(rd(A,X_14),X_14)),rd(A,X_14)),mult(mult(X_12,rd(A,X_14)),mult(X_14,rd(A,X_14)))) ),[0,0,1],$fot(A)]]) ).

cnf(refute_0_249,plain,
    ( mult(mult(X_12,mult(rd(A,X_14),X_14)),rd(A,X_14)) != mult(mult(X_12,rd(A,X_14)),mult(X_14,rd(A,X_14)))
    | mult(mult(X_12,A),rd(A,X_14)) = mult(mult(X_12,rd(A,X_14)),mult(X_14,rd(A,X_14))) ),
    inference(resolve,[$cnf( $equal(mult(rd(A,X_14),X_14),A) )],[refute_0_247,refute_0_248]) ).

cnf(refute_0_250,plain,
    mult(mult(X_12,A),rd(A,X_14)) = mult(mult(X_12,rd(A,X_14)),mult(X_14,rd(A,X_14))),
    inference(resolve,[$cnf( $equal(mult(mult(X_12,mult(rd(A,X_14),X_14)),rd(A,X_14)),mult(mult(X_12,rd(A,X_14)),mult(X_14,rd(A,X_14)))) )],[refute_0_246,refute_0_249]) ).

cnf(refute_0_251,plain,
    ( mult(mult(X_12,A),rd(A,X_14)) != mult(mult(X_12,rd(A,X_14)),mult(X_14,rd(A,X_14)))
    | mult(mult(X_12,rd(A,X_14)),mult(X_14,rd(A,X_14))) = mult(mult(X_12,A),rd(A,X_14)) ),
    inference(subst,[],[refute_0_61:[bind(X,$fot(mult(mult(X_12,A),rd(A,X_14)))),bind(Y,$fot(mult(mult(X_12,rd(A,X_14)),mult(X_14,rd(A,X_14)))))]]) ).

cnf(refute_0_252,plain,
    mult(mult(X_12,rd(A,X_14)),mult(X_14,rd(A,X_14))) = mult(mult(X_12,A),rd(A,X_14)),
    inference(resolve,[$cnf( $equal(mult(mult(X_12,A),rd(A,X_14)),mult(mult(X_12,rd(A,X_14)),mult(X_14,rd(A,X_14)))) )],[refute_0_250,refute_0_251]) ).

cnf(refute_0_253,plain,
    mult(mult(A,rd(C,C)),mult(C,rd(C,C))) = mult(mult(A,C),rd(C,C)),
    inference(subst,[],[refute_0_252:[bind(A,$fot(C)),bind(X_12,$fot(A)),bind(X_14,$fot(C))]]) ).

cnf(refute_0_254,plain,
    ( mult(mult(A,mult(rd(C,C),C)),rd(C,C)) != mult(mult(A,rd(C,C)),mult(C,rd(C,C)))
    | mult(mult(A,rd(C,C)),mult(C,rd(C,C))) != mult(mult(A,C),rd(C,C))
    | mult(mult(A,mult(rd(C,C),C)),rd(C,C)) = mult(mult(A,C),rd(C,C)) ),
    inference(subst,[],[refute_0_89:[bind(X,$fot(mult(mult(A,mult(rd(C,C),C)),rd(C,C)))),bind(Y,$fot(mult(mult(A,rd(C,C)),mult(C,rd(C,C))))),bind(Z,$fot(mult(mult(A,C),rd(C,C))))]]) ).

cnf(refute_0_255,plain,
    ( mult(mult(A,rd(C,C)),mult(C,rd(C,C))) != mult(mult(A,C),rd(C,C))
    | mult(mult(A,mult(rd(C,C),C)),rd(C,C)) = mult(mult(A,C),rd(C,C)) ),
    inference(resolve,[$cnf( $equal(mult(mult(A,mult(rd(C,C),C)),rd(C,C)),mult(mult(A,rd(C,C)),mult(C,rd(C,C)))) )],[refute_0_239,refute_0_254]) ).

cnf(refute_0_256,plain,
    mult(mult(A,mult(rd(C,C),C)),rd(C,C)) = mult(mult(A,C),rd(C,C)),
    inference(resolve,[$cnf( $equal(mult(mult(A,rd(C,C)),mult(C,rd(C,C))),mult(mult(A,C),rd(C,C))) )],[refute_0_253,refute_0_255]) ).

cnf(refute_0_257,plain,
    ( mult(mult(A,mult(rd(C,C),C)),rd(C,C)) != mult(mult(A,C),rd(C,C))
    | mult(mult(A,mult(rd(C,C),C)),rd(C,C)) != mult(mult(A,rd(C,C)),C)
    | mult(mult(A,C),rd(C,C)) = mult(mult(A,rd(C,C)),C) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(A,mult(rd(C,C),C)),rd(C,C)),mult(mult(A,rd(C,C)),C)) ),[0],$fot(mult(mult(A,C),rd(C,C)))]]) ).

cnf(refute_0_258,plain,
    ( mult(mult(A,mult(rd(C,C),C)),rd(C,C)) != mult(mult(A,rd(C,C)),C)
    | mult(mult(A,C),rd(C,C)) = mult(mult(A,rd(C,C)),C) ),
    inference(resolve,[$cnf( $equal(mult(mult(A,mult(rd(C,C),C)),rd(C,C)),mult(mult(A,C),rd(C,C))) )],[refute_0_256,refute_0_257]) ).

cnf(refute_0_259,plain,
    mult(mult(A,C),rd(C,C)) = mult(mult(A,rd(C,C)),C),
    inference(resolve,[$cnf( $equal(mult(mult(A,mult(rd(C,C),C)),rd(C,C)),mult(mult(A,rd(C,C)),C)) )],[refute_0_245,refute_0_258]) ).

cnf(refute_0_260,plain,
    rd(C,C) = ld(C,C),
    inference(subst,[],[refute_0_125:[bind(A,$fot(C))]]) ).

cnf(refute_0_261,plain,
    mult(mult(A,C),rd(C,C)) = mult(mult(A,C),rd(C,C)),
    introduced(tautology,[refl,[$fot(mult(mult(A,C),rd(C,C)))]]) ).

cnf(refute_0_262,plain,
    ( mult(mult(A,C),rd(C,C)) != mult(mult(A,C),rd(C,C))
    | rd(C,C) != ld(C,C)
    | mult(mult(A,C),rd(C,C)) = mult(mult(A,C),ld(C,C)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(A,C),rd(C,C)),mult(mult(A,C),rd(C,C))) ),[1,1],$fot(ld(C,C))]]) ).

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

cnf(refute_0_264,plain,
    mult(mult(A,C),rd(C,C)) = mult(mult(A,C),ld(C,C)),
    inference(resolve,[$cnf( $equal(rd(C,C),ld(C,C)) )],[refute_0_260,refute_0_263]) ).

cnf(refute_0_265,plain,
    ( mult(mult(A,C),rd(C,C)) != mult(mult(A,C),ld(C,C))
    | mult(mult(A,C),rd(C,C)) != mult(mult(A,rd(C,C)),C)
    | mult(mult(A,C),ld(C,C)) = mult(mult(A,rd(C,C)),C) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(A,C),rd(C,C)),mult(mult(A,rd(C,C)),C)) ),[0],$fot(mult(mult(A,C),ld(C,C)))]]) ).

cnf(refute_0_266,plain,
    ( mult(mult(A,C),rd(C,C)) != mult(mult(A,rd(C,C)),C)
    | mult(mult(A,C),ld(C,C)) = mult(mult(A,rd(C,C)),C) ),
    inference(resolve,[$cnf( $equal(mult(mult(A,C),rd(C,C)),mult(mult(A,C),ld(C,C))) )],[refute_0_264,refute_0_265]) ).

cnf(refute_0_267,plain,
    mult(A,rd(C,C)) = mult(A,rd(C,C)),
    introduced(tautology,[refl,[$fot(mult(A,rd(C,C)))]]) ).

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

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

cnf(refute_0_270,plain,
    mult(A,rd(C,C)) = mult(A,ld(C,C)),
    inference(resolve,[$cnf( $equal(rd(C,C),ld(C,C)) )],[refute_0_260,refute_0_269]) ).

cnf(refute_0_271,plain,
    mult(mult(A,rd(C,C)),C) = mult(mult(A,rd(C,C)),C),
    introduced(tautology,[refl,[$fot(mult(mult(A,rd(C,C)),C))]]) ).

cnf(refute_0_272,plain,
    ( mult(A,rd(C,C)) != mult(A,ld(C,C))
    | mult(mult(A,rd(C,C)),C) != mult(mult(A,rd(C,C)),C)
    | mult(mult(A,rd(C,C)),C) = mult(mult(A,ld(C,C)),C) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(A,rd(C,C)),C),mult(mult(A,rd(C,C)),C)) ),[1,0],$fot(mult(A,ld(C,C)))]]) ).

cnf(refute_0_273,plain,
    ( mult(A,rd(C,C)) != mult(A,ld(C,C))
    | mult(mult(A,rd(C,C)),C) = mult(mult(A,ld(C,C)),C) ),
    inference(resolve,[$cnf( $equal(mult(mult(A,rd(C,C)),C),mult(mult(A,rd(C,C)),C)) )],[refute_0_271,refute_0_272]) ).

cnf(refute_0_274,plain,
    mult(mult(A,rd(C,C)),C) = mult(mult(A,ld(C,C)),C),
    inference(resolve,[$cnf( $equal(mult(A,rd(C,C)),mult(A,ld(C,C))) )],[refute_0_270,refute_0_273]) ).

cnf(refute_0_275,plain,
    ( mult(mult(A,C),ld(C,C)) != mult(mult(A,rd(C,C)),C)
    | mult(mult(A,rd(C,C)),C) != mult(mult(A,ld(C,C)),C)
    | mult(mult(A,C),ld(C,C)) = mult(mult(A,ld(C,C)),C) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(A,C),ld(C,C)),mult(mult(A,ld(C,C)),C)) ),[0],$fot(mult(mult(A,rd(C,C)),C))]]) ).

cnf(refute_0_276,plain,
    ( mult(mult(A,C),ld(C,C)) != mult(mult(A,rd(C,C)),C)
    | mult(mult(A,C),ld(C,C)) = mult(mult(A,ld(C,C)),C) ),
    inference(resolve,[$cnf( $equal(mult(mult(A,rd(C,C)),C),mult(mult(A,ld(C,C)),C)) )],[refute_0_274,refute_0_275]) ).

cnf(refute_0_277,plain,
    ( mult(mult(A,C),rd(C,C)) != mult(mult(A,rd(C,C)),C)
    | mult(mult(A,C),ld(C,C)) = mult(mult(A,ld(C,C)),C) ),
    inference(resolve,[$cnf( $equal(mult(mult(A,C),ld(C,C)),mult(mult(A,rd(C,C)),C)) )],[refute_0_266,refute_0_276]) ).

cnf(refute_0_278,plain,
    mult(mult(A,C),ld(C,C)) = mult(mult(A,ld(C,C)),C),
    inference(resolve,[$cnf( $equal(mult(mult(A,C),rd(C,C)),mult(mult(A,rd(C,C)),C)) )],[refute_0_259,refute_0_277]) ).

cnf(refute_0_279,plain,
    mult(mult(X_123,X_107),ld(X_107,X_107)) = mult(mult(X_123,ld(X_107,X_107)),X_107),
    inference(subst,[],[refute_0_278:[bind(A,$fot(X_123)),bind(C,$fot(X_107))]]) ).

cnf(refute_0_280,plain,
    ( mult(mult(X_123,X_107),ld(X_107,X_107)) != mult(mult(X_123,ld(X_107,X_107)),X_107)
    | mult(mult(X_123,ld(X_107,X_107)),X_107) = mult(mult(X_123,X_107),ld(X_107,X_107)) ),
    inference(subst,[],[refute_0_61:[bind(X,$fot(mult(mult(X_123,X_107),ld(X_107,X_107)))),bind(Y,$fot(mult(mult(X_123,ld(X_107,X_107)),X_107)))]]) ).

cnf(refute_0_281,plain,
    mult(mult(X_123,ld(X_107,X_107)),X_107) = mult(mult(X_123,X_107),ld(X_107,X_107)),
    inference(resolve,[$cnf( $equal(mult(mult(X_123,X_107),ld(X_107,X_107)),mult(mult(X_123,ld(X_107,X_107)),X_107)) )],[refute_0_279,refute_0_280]) ).

cnf(refute_0_282,plain,
    ( ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,ld(X_107,X_107)),X_107)) != mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107)
    | mult(mult(X_123,ld(X_107,X_107)),X_107) != mult(mult(X_123,X_107),ld(X_107,X_107))
    | ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))) = mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,ld(X_107,X_107)),X_107)),mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107)) ),[0,1],$fot(mult(mult(X_123,X_107),ld(X_107,X_107)))]]) ).

cnf(refute_0_283,plain,
    ( ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,ld(X_107,X_107)),X_107)) != mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107)
    | ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))) = mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_123,ld(X_107,X_107)),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))) )],[refute_0_281,refute_0_282]) ).

cnf(refute_0_284,plain,
    ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))) = mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107),
    inference(resolve,[$cnf( $equal(ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,ld(X_107,X_107)),X_107)),mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107)) )],[refute_0_238,refute_0_283]) ).

cnf(refute_0_285,plain,
    ( X_136 != mult(X_136,ld(A,A))
    | mult(X_136,ld(A,A)) = X_136 ),
    inference(subst,[],[refute_0_61:[bind(X,$fot(X_136)),bind(Y,$fot(mult(X_136,ld(A,A))))]]) ).

cnf(refute_0_286,plain,
    mult(X_136,ld(A,A)) = X_136,
    inference(resolve,[$cnf( $equal(X_136,mult(X_136,ld(A,A))) )],[refute_0_195,refute_0_285]) ).

cnf(refute_0_287,plain,
    mult(mult(X_123,X_107),ld(X_107,X_107)) = mult(X_123,X_107),
    inference(subst,[],[refute_0_286:[bind(A,$fot(X_107)),bind(X_136,$fot(mult(X_123,X_107)))]]) ).

cnf(refute_0_288,plain,
    ld(X_107,mult(mult(X_123,X_107),ld(X_107,X_107))) = ld(X_107,mult(mult(X_123,X_107),ld(X_107,X_107))),
    introduced(tautology,[refl,[$fot(ld(X_107,mult(mult(X_123,X_107),ld(X_107,X_107))))]]) ).

cnf(refute_0_289,plain,
    ( ld(X_107,mult(mult(X_123,X_107),ld(X_107,X_107))) != ld(X_107,mult(mult(X_123,X_107),ld(X_107,X_107)))
    | mult(mult(X_123,X_107),ld(X_107,X_107)) != mult(X_123,X_107)
    | ld(X_107,mult(mult(X_123,X_107),ld(X_107,X_107))) = ld(X_107,mult(X_123,X_107)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(X_107,mult(mult(X_123,X_107),ld(X_107,X_107))),ld(X_107,mult(mult(X_123,X_107),ld(X_107,X_107)))) ),[1,1],$fot(mult(X_123,X_107))]]) ).

cnf(refute_0_290,plain,
    ( mult(mult(X_123,X_107),ld(X_107,X_107)) != mult(X_123,X_107)
    | ld(X_107,mult(mult(X_123,X_107),ld(X_107,X_107))) = ld(X_107,mult(X_123,X_107)) ),
    inference(resolve,[$cnf( $equal(ld(X_107,mult(mult(X_123,X_107),ld(X_107,X_107))),ld(X_107,mult(mult(X_123,X_107),ld(X_107,X_107)))) )],[refute_0_288,refute_0_289]) ).

cnf(refute_0_291,plain,
    ld(X_107,mult(mult(X_123,X_107),ld(X_107,X_107))) = ld(X_107,mult(X_123,X_107)),
    inference(resolve,[$cnf( $equal(mult(mult(X_123,X_107),ld(X_107,X_107)),mult(X_123,X_107)) )],[refute_0_287,refute_0_290]) ).

cnf(refute_0_292,plain,
    mult(ld(X_107,X_107),X_107) = X_107,
    inference(subst,[],[refute_0_119:[bind(B,$fot(X_107))]]) ).

cnf(refute_0_293,plain,
    rd(mult(ld(X_54,X_54),ld(X_54,X_54)),ld(X_54,X_54)) = ld(X_54,X_54),
    inference(subst,[],[refute_0_2:[bind(A,$fot(ld(X_54,X_54))),bind(B,$fot(ld(X_54,X_54)))]]) ).

cnf(refute_0_294,plain,
    ld(X_54,X_54) = mult(ld(X_54,X_54),ld(X_54,X_54)),
    inference(subst,[],[refute_0_143:[bind(A,$fot(X_54))]]) ).

cnf(refute_0_295,plain,
    ( ld(X_54,X_54) != mult(ld(X_54,X_54),ld(X_54,X_54))
    | mult(ld(X_54,X_54),ld(X_54,X_54)) = ld(X_54,X_54) ),
    inference(subst,[],[refute_0_61:[bind(X,$fot(ld(X_54,X_54))),bind(Y,$fot(mult(ld(X_54,X_54),ld(X_54,X_54))))]]) ).

cnf(refute_0_296,plain,
    mult(ld(X_54,X_54),ld(X_54,X_54)) = ld(X_54,X_54),
    inference(resolve,[$cnf( $equal(ld(X_54,X_54),mult(ld(X_54,X_54),ld(X_54,X_54))) )],[refute_0_294,refute_0_295]) ).

cnf(refute_0_297,plain,
    ( mult(ld(X_54,X_54),ld(X_54,X_54)) != ld(X_54,X_54)
    | rd(mult(ld(X_54,X_54),ld(X_54,X_54)),ld(X_54,X_54)) != ld(X_54,X_54)
    | rd(ld(X_54,X_54),ld(X_54,X_54)) = ld(X_54,X_54) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(ld(X_54,X_54),ld(X_54,X_54)),ld(X_54,X_54)),ld(X_54,X_54)) ),[0,0],$fot(ld(X_54,X_54))]]) ).

cnf(refute_0_298,plain,
    ( rd(mult(ld(X_54,X_54),ld(X_54,X_54)),ld(X_54,X_54)) != ld(X_54,X_54)
    | rd(ld(X_54,X_54),ld(X_54,X_54)) = ld(X_54,X_54) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_54,X_54),ld(X_54,X_54)),ld(X_54,X_54)) )],[refute_0_296,refute_0_297]) ).

cnf(refute_0_299,plain,
    rd(ld(X_54,X_54),ld(X_54,X_54)) = ld(X_54,X_54),
    inference(resolve,[$cnf( $equal(rd(mult(ld(X_54,X_54),ld(X_54,X_54)),ld(X_54,X_54)),ld(X_54,X_54)) )],[refute_0_293,refute_0_298]) ).

cnf(refute_0_300,plain,
    rd(ld(X_54,X_54),ld(X_54,X_54)) = ld(ld(X_54,X_54),ld(X_54,X_54)),
    inference(subst,[],[refute_0_125:[bind(A,$fot(ld(X_54,X_54)))]]) ).

cnf(refute_0_301,plain,
    ( rd(ld(X_54,X_54),ld(X_54,X_54)) != ld(X_54,X_54)
    | rd(ld(X_54,X_54),ld(X_54,X_54)) != ld(ld(X_54,X_54),ld(X_54,X_54))
    | ld(ld(X_54,X_54),ld(X_54,X_54)) = ld(X_54,X_54) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_54,X_54),ld(X_54,X_54)),ld(X_54,X_54)) ),[0],$fot(ld(ld(X_54,X_54),ld(X_54,X_54)))]]) ).

cnf(refute_0_302,plain,
    ( rd(ld(X_54,X_54),ld(X_54,X_54)) != ld(X_54,X_54)
    | ld(ld(X_54,X_54),ld(X_54,X_54)) = ld(X_54,X_54) ),
    inference(resolve,[$cnf( $equal(rd(ld(X_54,X_54),ld(X_54,X_54)),ld(ld(X_54,X_54),ld(X_54,X_54))) )],[refute_0_300,refute_0_301]) ).

cnf(refute_0_303,plain,
    ld(ld(X_54,X_54),ld(X_54,X_54)) = ld(X_54,X_54),
    inference(resolve,[$cnf( $equal(rd(ld(X_54,X_54),ld(X_54,X_54)),ld(X_54,X_54)) )],[refute_0_299,refute_0_302]) ).

cnf(refute_0_304,plain,
    ld(ld(X_107,X_107),ld(X_107,X_107)) = ld(X_107,X_107),
    inference(subst,[],[refute_0_303:[bind(X_54,$fot(X_107))]]) ).

cnf(refute_0_305,plain,
    ld(A,mult(A,ld(mult(X_135,A),mult(X_135,A)))) = ld(mult(X_135,A),mult(X_135,A)),
    inference(subst,[],[refute_0_10:[bind(B,$fot(ld(mult(X_135,A),mult(X_135,A))))]]) ).

cnf(refute_0_306,plain,
    A = mult(A,ld(mult(X_135,A),mult(X_135,A))),
    inference(subst,[],[refute_0_179:[bind(A,$fot(X_135)),bind(X_134,$fot(A))]]) ).

cnf(refute_0_307,plain,
    ( A != mult(A,ld(mult(X_135,A),mult(X_135,A)))
    | mult(A,ld(mult(X_135,A),mult(X_135,A))) = A ),
    inference(subst,[],[refute_0_61:[bind(X,$fot(A)),bind(Y,$fot(mult(A,ld(mult(X_135,A),mult(X_135,A)))))]]) ).

cnf(refute_0_308,plain,
    mult(A,ld(mult(X_135,A),mult(X_135,A))) = A,
    inference(resolve,[$cnf( $equal(A,mult(A,ld(mult(X_135,A),mult(X_135,A)))) )],[refute_0_306,refute_0_307]) ).

cnf(refute_0_309,plain,
    ( ld(A,mult(A,ld(mult(X_135,A),mult(X_135,A)))) != ld(mult(X_135,A),mult(X_135,A))
    | mult(A,ld(mult(X_135,A),mult(X_135,A))) != A
    | ld(A,A) = ld(mult(X_135,A),mult(X_135,A)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(A,ld(mult(X_135,A),mult(X_135,A)))),ld(mult(X_135,A),mult(X_135,A))) ),[0,1],$fot(A)]]) ).

cnf(refute_0_310,plain,
    ( ld(A,mult(A,ld(mult(X_135,A),mult(X_135,A)))) != ld(mult(X_135,A),mult(X_135,A))
    | ld(A,A) = ld(mult(X_135,A),mult(X_135,A)) ),
    inference(resolve,[$cnf( $equal(mult(A,ld(mult(X_135,A),mult(X_135,A))),A) )],[refute_0_308,refute_0_309]) ).

cnf(refute_0_311,plain,
    ld(A,A) = ld(mult(X_135,A),mult(X_135,A)),
    inference(resolve,[$cnf( $equal(ld(A,mult(A,ld(mult(X_135,A),mult(X_135,A)))),ld(mult(X_135,A),mult(X_135,A))) )],[refute_0_305,refute_0_310]) ).

cnf(refute_0_312,plain,
    ( ld(A,A) != ld(mult(X_135,A),mult(X_135,A))
    | ld(mult(X_135,A),mult(X_135,A)) = ld(A,A) ),
    inference(subst,[],[refute_0_61:[bind(X,$fot(ld(A,A))),bind(Y,$fot(ld(mult(X_135,A),mult(X_135,A))))]]) ).

cnf(refute_0_313,plain,
    ld(mult(X_135,A),mult(X_135,A)) = ld(A,A),
    inference(resolve,[$cnf( $equal(ld(A,A),ld(mult(X_135,A),mult(X_135,A))) )],[refute_0_311,refute_0_312]) ).

cnf(refute_0_314,plain,
    ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))) = ld(ld(X_107,X_107),ld(X_107,X_107)),
    inference(subst,[],[refute_0_313:[bind(A,$fot(ld(X_107,X_107))),bind(X_135,$fot(X_123))]]) ).

cnf(refute_0_315,plain,
    ( ld(ld(X_107,X_107),ld(X_107,X_107)) != ld(X_107,X_107)
    | ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))) != ld(ld(X_107,X_107),ld(X_107,X_107))
    | ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))) = ld(X_107,X_107) ),
    inference(subst,[],[refute_0_89:[bind(X,$fot(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))))),bind(Y,$fot(ld(ld(X_107,X_107),ld(X_107,X_107)))),bind(Z,$fot(ld(X_107,X_107)))]]) ).

cnf(refute_0_316,plain,
    ( ld(ld(X_107,X_107),ld(X_107,X_107)) != ld(X_107,X_107)
    | ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))) = ld(X_107,X_107) ),
    inference(resolve,[$cnf( $equal(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),ld(ld(X_107,X_107),ld(X_107,X_107))) )],[refute_0_314,refute_0_315]) ).

cnf(refute_0_317,plain,
    ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))) = ld(X_107,X_107),
    inference(resolve,[$cnf( $equal(ld(ld(X_107,X_107),ld(X_107,X_107)),ld(X_107,X_107)) )],[refute_0_304,refute_0_316]) ).

cnf(refute_0_318,plain,
    mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107) = mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),
    introduced(tautology,[refl,[$fot(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107))]]) ).

cnf(refute_0_319,plain,
    ( ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))) != ld(X_107,X_107)
    | mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107) != mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107)
    | mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107) = mult(ld(X_107,X_107),X_107) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107)) ),[1,0],$fot(ld(X_107,X_107))]]) ).

cnf(refute_0_320,plain,
    ( ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))) != ld(X_107,X_107)
    | mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107) = mult(ld(X_107,X_107),X_107) ),
    inference(resolve,[$cnf( $equal(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107)) )],[refute_0_318,refute_0_319]) ).

cnf(refute_0_321,plain,
    mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107) = mult(ld(X_107,X_107),X_107),
    inference(resolve,[$cnf( $equal(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),ld(X_107,X_107)) )],[refute_0_317,refute_0_320]) ).

cnf(refute_0_322,plain,
    ( mult(ld(X_107,X_107),X_107) != X_107
    | mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107) != mult(ld(X_107,X_107),X_107)
    | mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107) = X_107 ),
    inference(subst,[],[refute_0_89:[bind(X,$fot(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107))),bind(Y,$fot(mult(ld(X_107,X_107),X_107))),bind(Z,$fot(X_107))]]) ).

cnf(refute_0_323,plain,
    ( mult(ld(X_107,X_107),X_107) != X_107
    | mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107) = X_107 ),
    inference(resolve,[$cnf( $equal(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(ld(X_107,X_107),X_107)) )],[refute_0_321,refute_0_322]) ).

cnf(refute_0_324,plain,
    mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107) = X_107,
    inference(resolve,[$cnf( $equal(mult(ld(X_107,X_107),X_107),X_107) )],[refute_0_292,refute_0_323]) ).

cnf(refute_0_325,plain,
    ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))) = ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))),
    introduced(tautology,[refl,[$fot(ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))))]]) ).

cnf(refute_0_326,plain,
    ( ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))) != ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107)))
    | mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107) != X_107
    | ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))) = ld(X_107,mult(mult(X_123,X_107),ld(X_107,X_107))) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))),ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107)))) ),[1,0],$fot(X_107)]]) ).

cnf(refute_0_327,plain,
    ( mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107) != X_107
    | ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))) = ld(X_107,mult(mult(X_123,X_107),ld(X_107,X_107))) ),
    inference(resolve,[$cnf( $equal(ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))),ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107)))) )],[refute_0_325,refute_0_326]) ).

cnf(refute_0_328,plain,
    ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))) = ld(X_107,mult(mult(X_123,X_107),ld(X_107,X_107))),
    inference(resolve,[$cnf( $equal(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),X_107) )],[refute_0_324,refute_0_327]) ).

cnf(refute_0_329,plain,
    ( ld(X_107,mult(mult(X_123,X_107),ld(X_107,X_107))) != ld(X_107,mult(X_123,X_107))
    | ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))) != ld(X_107,mult(mult(X_123,X_107),ld(X_107,X_107)))
    | ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))) = ld(X_107,mult(X_123,X_107)) ),
    inference(subst,[],[refute_0_89:[bind(X,$fot(ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))))),bind(Y,$fot(ld(X_107,mult(mult(X_123,X_107),ld(X_107,X_107))))),bind(Z,$fot(ld(X_107,mult(X_123,X_107))))]]) ).

cnf(refute_0_330,plain,
    ( ld(X_107,mult(mult(X_123,X_107),ld(X_107,X_107))) != ld(X_107,mult(X_123,X_107))
    | ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))) = ld(X_107,mult(X_123,X_107)) ),
    inference(resolve,[$cnf( $equal(ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))),ld(X_107,mult(mult(X_123,X_107),ld(X_107,X_107)))) )],[refute_0_328,refute_0_329]) ).

cnf(refute_0_331,plain,
    ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))) = ld(X_107,mult(X_123,X_107)),
    inference(resolve,[$cnf( $equal(ld(X_107,mult(mult(X_123,X_107),ld(X_107,X_107))),ld(X_107,mult(X_123,X_107))) )],[refute_0_291,refute_0_330]) ).

cnf(refute_0_332,plain,
    ( ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))) != ld(X_107,mult(X_123,X_107))
    | ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))) != mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107)
    | ld(X_107,mult(X_123,X_107)) = mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))),mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107)) ),[0],$fot(ld(X_107,mult(X_123,X_107)))]]) ).

cnf(refute_0_333,plain,
    ( ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))) != mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107)
    | ld(X_107,mult(X_123,X_107)) = mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107) ),
    inference(resolve,[$cnf( $equal(ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))),ld(X_107,mult(X_123,X_107))) )],[refute_0_331,refute_0_332]) ).

cnf(refute_0_334,plain,
    mult(X_123,ld(X_107,X_107)) = X_123,
    inference(subst,[],[refute_0_286:[bind(A,$fot(X_107)),bind(X_136,$fot(X_123))]]) ).

cnf(refute_0_335,plain,
    ld(X_107,mult(X_123,ld(X_107,X_107))) = ld(X_107,mult(X_123,ld(X_107,X_107))),
    introduced(tautology,[refl,[$fot(ld(X_107,mult(X_123,ld(X_107,X_107))))]]) ).

cnf(refute_0_336,plain,
    ( ld(X_107,mult(X_123,ld(X_107,X_107))) != ld(X_107,mult(X_123,ld(X_107,X_107)))
    | mult(X_123,ld(X_107,X_107)) != X_123
    | ld(X_107,mult(X_123,ld(X_107,X_107))) = ld(X_107,X_123) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(X_107,mult(X_123,ld(X_107,X_107))),ld(X_107,mult(X_123,ld(X_107,X_107)))) ),[1,1],$fot(X_123)]]) ).

cnf(refute_0_337,plain,
    ( mult(X_123,ld(X_107,X_107)) != X_123
    | ld(X_107,mult(X_123,ld(X_107,X_107))) = ld(X_107,X_123) ),
    inference(resolve,[$cnf( $equal(ld(X_107,mult(X_123,ld(X_107,X_107))),ld(X_107,mult(X_123,ld(X_107,X_107)))) )],[refute_0_335,refute_0_336]) ).

cnf(refute_0_338,plain,
    ld(X_107,mult(X_123,ld(X_107,X_107))) = ld(X_107,X_123),
    inference(resolve,[$cnf( $equal(mult(X_123,ld(X_107,X_107)),X_123) )],[refute_0_334,refute_0_337]) ).

cnf(refute_0_339,plain,
    mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107) = mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107),
    introduced(tautology,[refl,[$fot(mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107))]]) ).

cnf(refute_0_340,plain,
    ( ld(X_107,mult(X_123,ld(X_107,X_107))) != ld(X_107,X_123)
    | mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107) != mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107)
    | mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107) = mult(ld(X_107,X_123),X_107) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107),mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107)) ),[1,0],$fot(ld(X_107,X_123))]]) ).

cnf(refute_0_341,plain,
    ( ld(X_107,mult(X_123,ld(X_107,X_107))) != ld(X_107,X_123)
    | mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107) = mult(ld(X_107,X_123),X_107) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107),mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107)) )],[refute_0_339,refute_0_340]) ).

cnf(refute_0_342,plain,
    mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107) = mult(ld(X_107,X_123),X_107),
    inference(resolve,[$cnf( $equal(ld(X_107,mult(X_123,ld(X_107,X_107))),ld(X_107,X_123)) )],[refute_0_338,refute_0_341]) ).

cnf(refute_0_343,plain,
    ( ld(X_107,mult(X_123,X_107)) != mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107)
    | mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107) != mult(ld(X_107,X_123),X_107)
    | ld(X_107,mult(X_123,X_107)) = mult(ld(X_107,X_123),X_107) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(ld(X_107,mult(X_123,X_107)),mult(ld(X_107,X_123),X_107)) ),[0],$fot(mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107))]]) ).

cnf(refute_0_344,plain,
    ( ld(X_107,mult(X_123,X_107)) != mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107)
    | ld(X_107,mult(X_123,X_107)) = mult(ld(X_107,X_123),X_107) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107),mult(ld(X_107,X_123),X_107)) )],[refute_0_342,refute_0_343]) ).

cnf(refute_0_345,plain,
    ( ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))) != mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107)
    | ld(X_107,mult(X_123,X_107)) = mult(ld(X_107,X_123),X_107) ),
    inference(resolve,[$cnf( $equal(ld(X_107,mult(X_123,X_107)),mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107)) )],[refute_0_333,refute_0_344]) ).

cnf(refute_0_346,plain,
    ld(X_107,mult(X_123,X_107)) = mult(ld(X_107,X_123),X_107),
    inference(resolve,[$cnf( $equal(ld(mult(ld(mult(X_123,ld(X_107,X_107)),mult(X_123,ld(X_107,X_107))),X_107),mult(mult(X_123,X_107),ld(X_107,X_107))),mult(ld(X_107,mult(X_123,ld(X_107,X_107))),X_107)) )],[refute_0_284,refute_0_345]) ).

cnf(refute_0_347,plain,
    ( ld(X_107,mult(X_123,X_107)) != mult(ld(X_107,X_123),X_107)
    | mult(ld(X_107,X_123),X_107) = ld(X_107,mult(X_123,X_107)) ),
    inference(subst,[],[refute_0_61:[bind(X,$fot(ld(X_107,mult(X_123,X_107)))),bind(Y,$fot(mult(ld(X_107,X_123),X_107)))]]) ).

cnf(refute_0_348,plain,
    mult(ld(X_107,X_123),X_107) = ld(X_107,mult(X_123,X_107)),
    inference(resolve,[$cnf( $equal(ld(X_107,mult(X_123,X_107)),mult(ld(X_107,X_123),X_107)) )],[refute_0_346,refute_0_347]) ).

cnf(refute_0_349,plain,
    mult(ld(X_131,X_130),X_131) = ld(X_131,mult(X_130,X_131)),
    inference(subst,[],[refute_0_348:[bind(X_107,$fot(X_131)),bind(X_123,$fot(X_130))]]) ).

cnf(refute_0_350,plain,
    mult(X_131,mult(ld(X_131,X_130),X_131)) = mult(X_131,mult(ld(X_131,X_130),X_131)),
    introduced(tautology,[refl,[$fot(mult(X_131,mult(ld(X_131,X_130),X_131)))]]) ).

cnf(refute_0_351,plain,
    ( mult(X_131,mult(ld(X_131,X_130),X_131)) != mult(X_131,mult(ld(X_131,X_130),X_131))
    | mult(ld(X_131,X_130),X_131) != ld(X_131,mult(X_130,X_131))
    | mult(X_131,mult(ld(X_131,X_130),X_131)) = mult(X_131,ld(X_131,mult(X_130,X_131))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_131,mult(ld(X_131,X_130),X_131)),mult(X_131,mult(ld(X_131,X_130),X_131))) ),[1,1],$fot(ld(X_131,mult(X_130,X_131)))]]) ).

cnf(refute_0_352,plain,
    ( mult(ld(X_131,X_130),X_131) != ld(X_131,mult(X_130,X_131))
    | mult(X_131,mult(ld(X_131,X_130),X_131)) = mult(X_131,ld(X_131,mult(X_130,X_131))) ),
    inference(resolve,[$cnf( $equal(mult(X_131,mult(ld(X_131,X_130),X_131)),mult(X_131,mult(ld(X_131,X_130),X_131))) )],[refute_0_350,refute_0_351]) ).

cnf(refute_0_353,plain,
    mult(X_131,mult(ld(X_131,X_130),X_131)) = mult(X_131,ld(X_131,mult(X_130,X_131))),
    inference(resolve,[$cnf( $equal(mult(ld(X_131,X_130),X_131),ld(X_131,mult(X_130,X_131))) )],[refute_0_349,refute_0_352]) ).

cnf(refute_0_354,plain,
    ( mult(X_131,ld(X_131,mult(X_130,X_131))) != mult(X_130,X_131)
    | mult(X_131,mult(ld(X_131,X_130),X_131)) != mult(X_131,ld(X_131,mult(X_130,X_131)))
    | mult(X_131,mult(ld(X_131,X_130),X_131)) = mult(X_130,X_131) ),
    inference(subst,[],[refute_0_89:[bind(X,$fot(mult(X_131,mult(ld(X_131,X_130),X_131)))),bind(Y,$fot(mult(X_131,ld(X_131,mult(X_130,X_131))))),bind(Z,$fot(mult(X_130,X_131)))]]) ).

cnf(refute_0_355,plain,
    ( mult(X_131,ld(X_131,mult(X_130,X_131))) != mult(X_130,X_131)
    | mult(X_131,mult(ld(X_131,X_130),X_131)) = mult(X_130,X_131) ),
    inference(resolve,[$cnf( $equal(mult(X_131,mult(ld(X_131,X_130),X_131)),mult(X_131,ld(X_131,mult(X_130,X_131)))) )],[refute_0_353,refute_0_354]) ).

cnf(refute_0_356,plain,
    mult(X_131,mult(ld(X_131,X_130),X_131)) = mult(X_130,X_131),
    inference(resolve,[$cnf( $equal(mult(X_131,ld(X_131,mult(X_130,X_131))),mult(X_130,X_131)) )],[refute_0_232,refute_0_355]) ).

cnf(refute_0_357,plain,
    ( mult(X_131,mult(ld(X_131,X_130),X_131)) != mult(X_130,X_131)
    | rd(mult(X_130,X_130),ld(X_131,X_130)) != mult(X_131,mult(ld(X_131,X_130),X_131))
    | rd(mult(X_130,X_130),ld(X_131,X_130)) = mult(X_130,X_131) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_130,X_130),ld(X_131,X_130)),mult(X_131,mult(ld(X_131,X_130),X_131))) ),[1],$fot(mult(X_130,X_131))]]) ).

cnf(refute_0_358,plain,
    ( rd(mult(X_130,X_130),ld(X_131,X_130)) != mult(X_131,mult(ld(X_131,X_130),X_131))
    | rd(mult(X_130,X_130),ld(X_131,X_130)) = mult(X_130,X_131) ),
    inference(resolve,[$cnf( $equal(mult(X_131,mult(ld(X_131,X_130),X_131)),mult(X_130,X_131)) )],[refute_0_356,refute_0_357]) ).

cnf(refute_0_359,plain,
    rd(mult(X_130,X_130),ld(X_131,X_130)) = mult(X_130,X_131),
    inference(resolve,[$cnf( $equal(rd(mult(X_130,X_130),ld(X_131,X_130)),mult(X_131,mult(ld(X_131,X_130),X_131))) )],[refute_0_30,refute_0_358]) ).

cnf(refute_0_360,plain,
    rd(mult(X_133,X_133),ld(X_19,X_133)) = mult(X_133,X_19),
    inference(subst,[],[refute_0_359:[bind(X_130,$fot(X_133)),bind(X_131,$fot(X_19))]]) ).

cnf(refute_0_361,plain,
    rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19) = rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19),
    introduced(tautology,[refl,[$fot(rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19))]]) ).

cnf(refute_0_362,plain,
    ( rd(mult(X_133,X_133),ld(X_19,X_133)) != mult(X_133,X_19)
    | rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19) != rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19)
    | rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19) = rd(mult(X_133,X_19),X_19) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19),rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19)) ),[1,0],$fot(mult(X_133,X_19))]]) ).

cnf(refute_0_363,plain,
    ( rd(mult(X_133,X_133),ld(X_19,X_133)) != mult(X_133,X_19)
    | rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19) = rd(mult(X_133,X_19),X_19) ),
    inference(resolve,[$cnf( $equal(rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19),rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19)) )],[refute_0_361,refute_0_362]) ).

cnf(refute_0_364,plain,
    rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19) = rd(mult(X_133,X_19),X_19),
    inference(resolve,[$cnf( $equal(rd(mult(X_133,X_133),ld(X_19,X_133)),mult(X_133,X_19)) )],[refute_0_360,refute_0_363]) ).

cnf(refute_0_365,plain,
    ( rd(mult(X_133,X_19),X_19) != X_133
    | rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19) != rd(mult(X_133,X_19),X_19)
    | rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19) = X_133 ),
    inference(subst,[],[refute_0_89:[bind(X,$fot(rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19))),bind(Y,$fot(rd(mult(X_133,X_19),X_19))),bind(Z,$fot(X_133))]]) ).

cnf(refute_0_366,plain,
    ( rd(mult(X_133,X_19),X_19) != X_133
    | rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19) = X_133 ),
    inference(resolve,[$cnf( $equal(rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19),rd(mult(X_133,X_19),X_19)) )],[refute_0_364,refute_0_365]) ).

cnf(refute_0_367,plain,
    rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19) = X_133,
    inference(resolve,[$cnf( $equal(rd(mult(X_133,X_19),X_19),X_133) )],[refute_0_231,refute_0_366]) ).

cnf(refute_0_368,plain,
    ( rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19) != X_133
    | rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19) != mult(ld(X_19,X_19),X_133)
    | X_133 = mult(ld(X_19,X_19),X_133) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19),mult(ld(X_19,X_19),X_133)) ),[0],$fot(X_133)]]) ).

cnf(refute_0_369,plain,
    ( rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19) != mult(ld(X_19,X_19),X_133)
    | X_133 = mult(ld(X_19,X_19),X_133) ),
    inference(resolve,[$cnf( $equal(rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19),X_133) )],[refute_0_367,refute_0_368]) ).

cnf(refute_0_370,plain,
    X_133 = mult(ld(X_19,X_19),X_133),
    inference(resolve,[$cnf( $equal(rd(rd(mult(X_133,X_133),ld(X_19,X_133)),X_19),mult(ld(X_19,X_19),X_133)) )],[refute_0_230,refute_0_369]) ).

cnf(refute_0_371,plain,
    ( X_133 != mult(ld(X_19,X_19),X_133)
    | mult(ld(X_19,X_19),X_133) = X_133 ),
    inference(subst,[],[refute_0_61:[bind(X,$fot(X_133)),bind(Y,$fot(mult(ld(X_19,X_19),X_133)))]]) ).

cnf(refute_0_372,plain,
    mult(ld(X_19,X_19),X_133) = X_133,
    inference(resolve,[$cnf( $equal(X_133,mult(ld(X_19,X_19),X_133)) )],[refute_0_370,refute_0_371]) ).

cnf(refute_0_373,plain,
    mult(ld(X_139,X_139),skolemFOFtoCNF_X1(ld(X_139,X_139))) = skolemFOFtoCNF_X1(ld(X_139,X_139)),
    inference(subst,[],[refute_0_372:[bind(X_133,$fot(skolemFOFtoCNF_X1(ld(X_139,X_139)))),bind(X_19,$fot(X_139))]]) ).

cnf(refute_0_374,plain,
    ( mult(ld(X_139,X_139),skolemFOFtoCNF_X1(ld(X_139,X_139))) != skolemFOFtoCNF_X1(ld(X_139,X_139))
    | skolemFOFtoCNF_X1(ld(X_139,X_139)) != skolemFOFtoCNF_X1(ld(X_139,X_139))
    | mult(ld(X_139,X_139),skolemFOFtoCNF_X1(ld(X_139,X_139))) = skolemFOFtoCNF_X1(ld(X_139,X_139)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(mult(ld(X_139,X_139),skolemFOFtoCNF_X1(ld(X_139,X_139))),skolemFOFtoCNF_X1(ld(X_139,X_139))) ),[0],$fot(skolemFOFtoCNF_X1(ld(X_139,X_139)))]]) ).

cnf(refute_0_375,plain,
    ( skolemFOFtoCNF_X1(ld(X_139,X_139)) != skolemFOFtoCNF_X1(ld(X_139,X_139))
    | mult(ld(X_139,X_139),skolemFOFtoCNF_X1(ld(X_139,X_139))) = skolemFOFtoCNF_X1(ld(X_139,X_139)) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_139,X_139),skolemFOFtoCNF_X1(ld(X_139,X_139))),skolemFOFtoCNF_X1(ld(X_139,X_139))) )],[refute_0_373,refute_0_374]) ).

cnf(refute_0_376,plain,
    skolemFOFtoCNF_X1(ld(X_139,X_139)) != skolemFOFtoCNF_X1(ld(X_139,X_139)),
    inference(resolve,[$cnf( $equal(mult(ld(X_139,X_139),skolemFOFtoCNF_X1(ld(X_139,X_139))),skolemFOFtoCNF_X1(ld(X_139,X_139))) )],[refute_0_375,refute_0_203]) ).

cnf(refute_0_377,plain,
    skolemFOFtoCNF_X1(ld(X_139,X_139)) = skolemFOFtoCNF_X1(ld(X_139,X_139)),
    introduced(tautology,[refl,[$fot(skolemFOFtoCNF_X1(ld(X_139,X_139)))]]) ).

cnf(refute_0_378,plain,
    $false,
    inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1(ld(X_139,X_139)),skolemFOFtoCNF_X1(ld(X_139,X_139))) )],[refute_0_377,refute_0_376]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP659+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 13 10:00:53 EDT 2022
% 0.18/0.33  % CPUTime  : 
% 0.18/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.15/1.35  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.15/1.35  
% 1.15/1.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.23/1.39  
%------------------------------------------------------------------------------