%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP659-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 10:44:37 EDT 2022

% Result   : Unsatisfiable 1.21s 1.40s
% Output   : CNFRefutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   78
%            Number of leaves      :  115
% Syntax   : Number of clauses     :  461 ( 238 unt;   0 nHn; 224 RR)
%            Number of literals    :  781 ( 780 equ; 324 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   0 con; 1-2 aty)
%            Number of variables   :  925 (   0 sgn)

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

cnf(f02,axiom,
    ld(A,mult(A,B)) = B ).

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

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

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

cnf(goal,negated_conjecture,
    tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)) ).

cnf(refute_0_0,plain,
    tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),mult(x1_2(ld(X_151,X_151)),ld(X_151,X_151))) != tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151))),
    inference(subst,[],[goal:[bind(X0,$fot(ld(X_151,X_151)))]]) ).

cnf(refute_0_1,plain,
    rd(mult(mult(X_13,mult(B,X_15)),B),B) = mult(X_13,mult(B,X_15)),
    inference(subst,[],[f04:[bind(A,$fot(mult(X_13,mult(B,X_15))))]]) ).

cnf(refute_0_2,plain,
    mult(mult(X_13,mult(B,X_15)),B) = mult(mult(X_13,B),mult(X_15,B)),
    inference(subst,[],[f05:[bind(A,$fot(X_13)),bind(C,$fot(X_15))]]) ).

cnf(refute_0_3,plain,
    ( mult(mult(X_13,mult(B,X_15)),B) != mult(mult(X_13,B),mult(X_15,B))
    | rd(mult(mult(X_13,mult(B,X_15)),B),B) != mult(X_13,mult(B,X_15))
    | rd(mult(mult(X_13,B),mult(X_15,B)),B) = mult(X_13,mult(B,X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_13,mult(B,X_15)),B),B),mult(X_13,mult(B,X_15))) ),[0,0],$fot(mult(mult(X_13,B),mult(X_15,B)))]]) ).

cnf(refute_0_4,plain,
    ( rd(mult(mult(X_13,mult(B,X_15)),B),B) != mult(X_13,mult(B,X_15))
    | rd(mult(mult(X_13,B),mult(X_15,B)),B) = mult(X_13,mult(B,X_15)) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_13,mult(B,X_15)),B),mult(mult(X_13,B),mult(X_15,B))) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    rd(mult(mult(X_13,B),mult(X_15,B)),B) = mult(X_13,mult(B,X_15)),
    inference(resolve,[$cnf( $equal(rd(mult(mult(X_13,mult(B,X_15)),B),B),mult(X_13,mult(B,X_15))) )],[refute_0_1,refute_0_4]) ).

cnf(refute_0_6,plain,
    rd(mult(mult(X_17,X_16),mult(rd(A,X_16),X_16)),X_16) = mult(X_17,mult(X_16,rd(A,X_16))),
    inference(subst,[],[refute_0_5:[bind(B,$fot(X_16)),bind(X_13,$fot(X_17)),bind(X_15,$fot(rd(A,X_16)))]]) ).

cnf(refute_0_7,plain,
    mult(rd(A,X_16),X_16) = A,
    inference(subst,[],[f03:[bind(B,$fot(X_16))]]) ).

cnf(refute_0_8,plain,
    ( mult(rd(A,X_16),X_16) != A
    | rd(mult(mult(X_17,X_16),mult(rd(A,X_16),X_16)),X_16) != mult(X_17,mult(X_16,rd(A,X_16)))
    | rd(mult(mult(X_17,X_16),A),X_16) = mult(X_17,mult(X_16,rd(A,X_16))) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_17,X_16),mult(rd(A,X_16),X_16)),X_16),mult(X_17,mult(X_16,rd(A,X_16)))) ),[0,0,1],$fot(A)]]) ).

cnf(refute_0_9,plain,
    ( rd(mult(mult(X_17,X_16),mult(rd(A,X_16),X_16)),X_16) != mult(X_17,mult(X_16,rd(A,X_16)))
    | rd(mult(mult(X_17,X_16),A),X_16) = mult(X_17,mult(X_16,rd(A,X_16))) ),
    inference(resolve,[$cnf( $equal(mult(rd(A,X_16),X_16),A) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    rd(mult(mult(X_17,X_16),A),X_16) = mult(X_17,mult(X_16,rd(A,X_16))),
    inference(resolve,[$cnf( $equal(rd(mult(mult(X_17,X_16),mult(rd(A,X_16),X_16)),X_16),mult(X_17,mult(X_16,rd(A,X_16)))) )],[refute_0_6,refute_0_9]) ).

cnf(refute_0_11,plain,
    rd(mult(mult(X_30,ld(X_30,B)),X_28),ld(X_30,B)) = mult(X_30,mult(ld(X_30,B),rd(X_28,ld(X_30,B)))),
    inference(subst,[],[refute_0_10:[bind(A,$fot(X_28)),bind(X_16,$fot(ld(X_30,B))),bind(X_17,$fot(X_30))]]) ).

cnf(refute_0_12,plain,
    mult(X_30,ld(X_30,B)) = B,
    inference(subst,[],[f01:[bind(A,$fot(X_30))]]) ).

cnf(refute_0_13,plain,
    ( mult(X_30,ld(X_30,B)) != B
    | rd(mult(mult(X_30,ld(X_30,B)),X_28),ld(X_30,B)) != mult(X_30,mult(ld(X_30,B),rd(X_28,ld(X_30,B))))
    | rd(mult(B,X_28),ld(X_30,B)) = mult(X_30,mult(ld(X_30,B),rd(X_28,ld(X_30,B)))) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_30,ld(X_30,B)),X_28),ld(X_30,B)),mult(X_30,mult(ld(X_30,B),rd(X_28,ld(X_30,B))))) ),[0,0,0],$fot(B)]]) ).

cnf(refute_0_14,plain,
    ( rd(mult(mult(X_30,ld(X_30,B)),X_28),ld(X_30,B)) != mult(X_30,mult(ld(X_30,B),rd(X_28,ld(X_30,B))))
    | rd(mult(B,X_28),ld(X_30,B)) = mult(X_30,mult(ld(X_30,B),rd(X_28,ld(X_30,B)))) ),
    inference(resolve,[$cnf( $equal(mult(X_30,ld(X_30,B)),B) )],[refute_0_12,refute_0_13]) ).

cnf(refute_0_15,plain,
    rd(mult(B,X_28),ld(X_30,B)) = mult(X_30,mult(ld(X_30,B),rd(X_28,ld(X_30,B)))),
    inference(resolve,[$cnf( $equal(rd(mult(mult(X_30,ld(X_30,B)),X_28),ld(X_30,B)),mult(X_30,mult(ld(X_30,B),rd(X_28,ld(X_30,B))))) )],[refute_0_11,refute_0_14]) ).

cnf(refute_0_16,plain,
    rd(mult(X_144,X_144),ld(X_146,X_144)) = mult(X_146,mult(ld(X_146,X_144),rd(X_144,ld(X_146,X_144)))),
    inference(subst,[],[refute_0_15:[bind(B,$fot(X_144)),bind(X_28,$fot(X_144)),bind(X_30,$fot(X_146))]]) ).

cnf(refute_0_17,plain,
    rd(mult(X_8,ld(X_8,B)),ld(X_8,B)) = X_8,
    inference(subst,[],[f04:[bind(A,$fot(X_8)),bind(B,$fot(ld(X_8,B)))]]) ).

cnf(refute_0_18,plain,
    mult(X_8,ld(X_8,B)) = B,
    inference(subst,[],[f01:[bind(A,$fot(X_8))]]) ).

cnf(refute_0_19,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_20,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_18,refute_0_19]) ).

cnf(refute_0_21,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_17,refute_0_20]) ).

cnf(refute_0_22,plain,
    rd(X_144,ld(X_146,X_144)) = X_146,
    inference(subst,[],[refute_0_21:[bind(B,$fot(X_144)),bind(X_8,$fot(X_146))]]) ).

cnf(refute_0_23,plain,
    ( rd(X_144,ld(X_146,X_144)) != X_146
    | rd(mult(X_144,X_144),ld(X_146,X_144)) != mult(X_146,mult(ld(X_146,X_144),rd(X_144,ld(X_146,X_144))))
    | rd(mult(X_144,X_144),ld(X_146,X_144)) = mult(X_146,mult(ld(X_146,X_144),X_146)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_144,X_144),ld(X_146,X_144)),mult(X_146,mult(ld(X_146,X_144),rd(X_144,ld(X_146,X_144))))) ),[1,1,1],$fot(X_146)]]) ).

cnf(refute_0_24,plain,
    ( rd(mult(X_144,X_144),ld(X_146,X_144)) != mult(X_146,mult(ld(X_146,X_144),rd(X_144,ld(X_146,X_144))))
    | rd(mult(X_144,X_144),ld(X_146,X_144)) = mult(X_146,mult(ld(X_146,X_144),X_146)) ),
    inference(resolve,[$cnf( $equal(rd(X_144,ld(X_146,X_144)),X_146) )],[refute_0_22,refute_0_23]) ).

cnf(refute_0_25,plain,
    rd(mult(X_144,X_144),ld(X_146,X_144)) = mult(X_146,mult(ld(X_146,X_144),X_146)),
    inference(resolve,[$cnf( $equal(rd(mult(X_144,X_144),ld(X_146,X_144)),mult(X_146,mult(ld(X_146,X_144),rd(X_144,ld(X_146,X_144))))) )],[refute_0_16,refute_0_24]) ).

cnf(refute_0_26,plain,
    rd(mult(ld(X_54,X_54),ld(X_54,X_54)),ld(X_148,ld(X_54,X_54))) = mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148)),
    inference(subst,[],[refute_0_25:[bind(X_144,$fot(ld(X_54,X_54))),bind(X_146,$fot(X_148))]]) ).

cnf(refute_0_27,plain,
    mult(rd(B,B),B) = B,
    inference(subst,[],[f03:[bind(A,$fot(B))]]) ).

cnf(refute_0_28,plain,
    ld(A,mult(A,rd(A,A))) = rd(A,A),
    inference(subst,[],[f02:[bind(B,$fot(rd(A,A)))]]) ).

cnf(refute_0_29,plain,
    ld(A,mult(A,mult(X_31,rd(X_31,X_31)))) = mult(X_31,rd(X_31,X_31)),
    inference(subst,[],[f02:[bind(B,$fot(mult(X_31,rd(X_31,X_31))))]]) ).

cnf(refute_0_30,plain,
    rd(mult(mult(X_30,B),B),B) = mult(X_30,B),
    inference(subst,[],[f04:[bind(A,$fot(mult(X_30,B)))]]) ).

cnf(refute_0_31,plain,
    rd(mult(mult(X_30,B),B),B) = mult(X_30,mult(B,rd(B,B))),
    inference(subst,[],[refute_0_10:[bind(A,$fot(B)),bind(X_16,$fot(B)),bind(X_17,$fot(X_30))]]) ).

cnf(refute_0_32,plain,
    ( rd(mult(mult(X_30,B),B),B) != mult(X_30,B)
    | rd(mult(mult(X_30,B),B),B) != mult(X_30,mult(B,rd(B,B)))
    | mult(X_30,mult(B,rd(B,B))) = mult(X_30,B) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(X_30,B),B),B),mult(X_30,B)) ),[0],$fot(mult(X_30,mult(B,rd(B,B))))]]) ).

cnf(refute_0_33,plain,
    ( rd(mult(mult(X_30,B),B),B) != mult(X_30,B)
    | mult(X_30,mult(B,rd(B,B))) = mult(X_30,B) ),
    inference(resolve,[$cnf( $equal(rd(mult(mult(X_30,B),B),B),mult(X_30,mult(B,rd(B,B)))) )],[refute_0_31,refute_0_32]) ).

cnf(refute_0_34,plain,
    mult(X_30,mult(B,rd(B,B))) = mult(X_30,B),
    inference(resolve,[$cnf( $equal(rd(mult(mult(X_30,B),B),B),mult(X_30,B)) )],[refute_0_30,refute_0_33]) ).

cnf(refute_0_35,plain,
    mult(A,mult(X_31,rd(X_31,X_31))) = mult(A,X_31),
    inference(subst,[],[refute_0_34:[bind(B,$fot(X_31)),bind(X_30,$fot(A))]]) ).

cnf(refute_0_36,plain,
    ( ld(A,mult(A,mult(X_31,rd(X_31,X_31)))) != mult(X_31,rd(X_31,X_31))
    | mult(A,mult(X_31,rd(X_31,X_31))) != mult(A,X_31)
    | ld(A,mult(A,X_31)) = mult(X_31,rd(X_31,X_31)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(A,mult(X_31,rd(X_31,X_31)))),mult(X_31,rd(X_31,X_31))) ),[0,1],$fot(mult(A,X_31))]]) ).

cnf(refute_0_37,plain,
    ( ld(A,mult(A,mult(X_31,rd(X_31,X_31)))) != mult(X_31,rd(X_31,X_31))
    | ld(A,mult(A,X_31)) = mult(X_31,rd(X_31,X_31)) ),
    inference(resolve,[$cnf( $equal(mult(A,mult(X_31,rd(X_31,X_31))),mult(A,X_31)) )],[refute_0_35,refute_0_36]) ).

cnf(refute_0_38,plain,
    ld(A,mult(A,X_31)) = mult(X_31,rd(X_31,X_31)),
    inference(resolve,[$cnf( $equal(ld(A,mult(A,mult(X_31,rd(X_31,X_31)))),mult(X_31,rd(X_31,X_31))) )],[refute_0_29,refute_0_37]) ).

cnf(refute_0_39,plain,
    ld(A,mult(A,X_31)) = X_31,
    inference(subst,[],[f02:[bind(B,$fot(X_31))]]) ).

cnf(refute_0_40,plain,
    ( ld(A,mult(A,X_31)) != X_31
    | ld(A,mult(A,X_31)) != mult(X_31,rd(X_31,X_31))
    | X_31 = mult(X_31,rd(X_31,X_31)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(A,mult(A,X_31)),mult(X_31,rd(X_31,X_31))) ),[0],$fot(X_31)]]) ).

cnf(refute_0_41,plain,
    ( ld(A,mult(A,X_31)) != mult(X_31,rd(X_31,X_31))
    | X_31 = mult(X_31,rd(X_31,X_31)) ),
    inference(resolve,[$cnf( $equal(ld(A,mult(A,X_31)),X_31) )],[refute_0_39,refute_0_40]) ).

cnf(refute_0_42,plain,
    X_31 = mult(X_31,rd(X_31,X_31)),
    inference(resolve,[$cnf( $equal(ld(A,mult(A,X_31)),mult(X_31,rd(X_31,X_31))) )],[refute_0_38,refute_0_41]) ).

cnf(refute_0_43,plain,
    A = mult(A,rd(A,A)),
    inference(subst,[],[refute_0_42:[bind(X_31,$fot(A))]]) ).

cnf(refute_0_44,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_45,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_46,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_44,refute_0_45]) ).

cnf(refute_0_47,plain,
    ( A != mult(A,rd(A,A))
    | mult(A,rd(A,A)) = A ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(A)),bind(Y,$fot(mult(A,rd(A,A))))]]) ).

cnf(refute_0_48,plain,
    mult(A,rd(A,A)) = A,
    inference(resolve,[$cnf( $equal(A,mult(A,rd(A,A))) )],[refute_0_43,refute_0_47]) ).

cnf(refute_0_49,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_50,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_48,refute_0_49]) ).

cnf(refute_0_51,plain,
    ld(A,A) = rd(A,A),
    inference(resolve,[$cnf( $equal(ld(A,mult(A,rd(A,A))),rd(A,A)) )],[refute_0_28,refute_0_50]) ).

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

cnf(refute_0_53,plain,
    ( ld(B,B) != rd(B,B)
    | rd(B,B) = ld(B,B) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(ld(B,B))),bind(Y,$fot(rd(B,B)))]]) ).

cnf(refute_0_54,plain,
    rd(B,B) = ld(B,B),
    inference(resolve,[$cnf( $equal(ld(B,B),rd(B,B)) )],[refute_0_52,refute_0_53]) ).

cnf(refute_0_55,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_56,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_54,refute_0_55]) ).

cnf(refute_0_57,plain,
    mult(ld(B,B),B) = B,
    inference(resolve,[$cnf( $equal(mult(rd(B,B),B),B) )],[refute_0_27,refute_0_56]) ).

cnf(refute_0_58,plain,
    mult(ld(ld(X_54,X_54),ld(X_54,X_54)),ld(X_54,X_54)) = ld(X_54,X_54),
    inference(subst,[],[refute_0_57:[bind(B,$fot(ld(X_54,X_54)))]]) ).

cnf(refute_0_59,plain,
    rd(mult(ld(ld(B,B),ld(B,B)),B),B) = ld(ld(B,B),ld(B,B)),
    inference(subst,[],[f04:[bind(A,$fot(ld(ld(B,B),ld(B,B))))]]) ).

cnf(refute_0_60,plain,
    rd(mult(mult(rd(A,X_16),X_16),mult(X_18,X_16)),X_16) = mult(rd(A,X_16),mult(X_16,X_18)),
    inference(subst,[],[refute_0_5:[bind(B,$fot(X_16)),bind(X_13,$fot(rd(A,X_16))),bind(X_15,$fot(X_18))]]) ).

cnf(refute_0_61,plain,
    ( mult(rd(A,X_16),X_16) != A
    | rd(mult(mult(rd(A,X_16),X_16),mult(X_18,X_16)),X_16) != mult(rd(A,X_16),mult(X_16,X_18))
    | rd(mult(A,mult(X_18,X_16)),X_16) = mult(rd(A,X_16),mult(X_16,X_18)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(rd(A,X_16),X_16),mult(X_18,X_16)),X_16),mult(rd(A,X_16),mult(X_16,X_18))) ),[0,0,0],$fot(A)]]) ).

cnf(refute_0_62,plain,
    ( rd(mult(mult(rd(A,X_16),X_16),mult(X_18,X_16)),X_16) != mult(rd(A,X_16),mult(X_16,X_18))
    | rd(mult(A,mult(X_18,X_16)),X_16) = mult(rd(A,X_16),mult(X_16,X_18)) ),
    inference(resolve,[$cnf( $equal(mult(rd(A,X_16),X_16),A) )],[refute_0_7,refute_0_61]) ).

cnf(refute_0_63,plain,
    rd(mult(A,mult(X_18,X_16)),X_16) = mult(rd(A,X_16),mult(X_16,X_18)),
    inference(resolve,[$cnf( $equal(rd(mult(mult(rd(A,X_16),X_16),mult(X_18,X_16)),X_16),mult(rd(A,X_16),mult(X_16,X_18))) )],[refute_0_60,refute_0_62]) ).

cnf(refute_0_64,plain,
    rd(mult(X_38,mult(X_40,ld(X_40,X_40))),ld(X_40,X_40)) = mult(rd(X_38,ld(X_40,X_40)),mult(ld(X_40,X_40),X_40)),
    inference(subst,[],[refute_0_63:[bind(A,$fot(X_38)),bind(X_16,$fot(ld(X_40,X_40))),bind(X_18,$fot(X_40))]]) ).

cnf(refute_0_65,plain,
    mult(ld(X_40,X_40),X_40) = X_40,
    inference(subst,[],[refute_0_57:[bind(B,$fot(X_40))]]) ).

cnf(refute_0_66,plain,
    ( mult(ld(X_40,X_40),X_40) != X_40
    | rd(mult(X_38,mult(X_40,ld(X_40,X_40))),ld(X_40,X_40)) != mult(rd(X_38,ld(X_40,X_40)),mult(ld(X_40,X_40),X_40))
    | rd(mult(X_38,mult(X_40,ld(X_40,X_40))),ld(X_40,X_40)) = mult(rd(X_38,ld(X_40,X_40)),X_40) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_38,mult(X_40,ld(X_40,X_40))),ld(X_40,X_40)),mult(rd(X_38,ld(X_40,X_40)),mult(ld(X_40,X_40),X_40))) ),[1,1],$fot(X_40)]]) ).

cnf(refute_0_67,plain,
    ( rd(mult(X_38,mult(X_40,ld(X_40,X_40))),ld(X_40,X_40)) != mult(rd(X_38,ld(X_40,X_40)),mult(ld(X_40,X_40),X_40))
    | rd(mult(X_38,mult(X_40,ld(X_40,X_40))),ld(X_40,X_40)) = mult(rd(X_38,ld(X_40,X_40)),X_40) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_40,X_40),X_40),X_40) )],[refute_0_65,refute_0_66]) ).

cnf(refute_0_68,plain,
    rd(mult(X_38,mult(X_40,ld(X_40,X_40))),ld(X_40,X_40)) = mult(rd(X_38,ld(X_40,X_40)),X_40),
    inference(resolve,[$cnf( $equal(rd(mult(X_38,mult(X_40,ld(X_40,X_40))),ld(X_40,X_40)),mult(rd(X_38,ld(X_40,X_40)),mult(ld(X_40,X_40),X_40))) )],[refute_0_64,refute_0_67]) ).

cnf(refute_0_69,plain,
    rd(mult(X_38,mult(X_40,ld(X_40,B))),ld(X_40,B)) = mult(rd(X_38,ld(X_40,B)),mult(ld(X_40,B),X_40)),
    inference(subst,[],[refute_0_63:[bind(A,$fot(X_38)),bind(X_16,$fot(ld(X_40,B))),bind(X_18,$fot(X_40))]]) ).

cnf(refute_0_70,plain,
    mult(X_40,ld(X_40,B)) = B,
    inference(subst,[],[f01:[bind(A,$fot(X_40))]]) ).

cnf(refute_0_71,plain,
    ( mult(X_40,ld(X_40,B)) != B
    | rd(mult(X_38,mult(X_40,ld(X_40,B))),ld(X_40,B)) != mult(rd(X_38,ld(X_40,B)),mult(ld(X_40,B),X_40))
    | rd(mult(X_38,B),ld(X_40,B)) = mult(rd(X_38,ld(X_40,B)),mult(ld(X_40,B),X_40)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_38,mult(X_40,ld(X_40,B))),ld(X_40,B)),mult(rd(X_38,ld(X_40,B)),mult(ld(X_40,B),X_40))) ),[0,0,1],$fot(B)]]) ).

cnf(refute_0_72,plain,
    ( rd(mult(X_38,mult(X_40,ld(X_40,B))),ld(X_40,B)) != mult(rd(X_38,ld(X_40,B)),mult(ld(X_40,B),X_40))
    | rd(mult(X_38,B),ld(X_40,B)) = mult(rd(X_38,ld(X_40,B)),mult(ld(X_40,B),X_40)) ),
    inference(resolve,[$cnf( $equal(mult(X_40,ld(X_40,B)),B) )],[refute_0_70,refute_0_71]) ).

cnf(refute_0_73,plain,
    rd(mult(X_38,B),ld(X_40,B)) = mult(rd(X_38,ld(X_40,B)),mult(ld(X_40,B),X_40)),
    inference(resolve,[$cnf( $equal(rd(mult(X_38,mult(X_40,ld(X_40,B))),ld(X_40,B)),mult(rd(X_38,ld(X_40,B)),mult(ld(X_40,B),X_40))) )],[refute_0_69,refute_0_72]) ).

cnf(refute_0_74,plain,
    ( rd(mult(X_38,B),ld(X_40,B)) != mult(rd(X_38,ld(X_40,B)),mult(ld(X_40,B),X_40))
    | mult(rd(X_38,ld(X_40,B)),mult(ld(X_40,B),X_40)) = rd(mult(X_38,B),ld(X_40,B)) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(rd(mult(X_38,B),ld(X_40,B)))),bind(Y,$fot(mult(rd(X_38,ld(X_40,B)),mult(ld(X_40,B),X_40))))]]) ).

cnf(refute_0_75,plain,
    mult(rd(X_38,ld(X_40,B)),mult(ld(X_40,B),X_40)) = rd(mult(X_38,B),ld(X_40,B)),
    inference(resolve,[$cnf( $equal(rd(mult(X_38,B),ld(X_40,B)),mult(rd(X_38,ld(X_40,B)),mult(ld(X_40,B),X_40))) )],[refute_0_73,refute_0_74]) ).

cnf(refute_0_76,plain,
    mult(rd(X_38,ld(X_40,X_40)),mult(ld(X_40,X_40),X_40)) = rd(mult(X_38,X_40),ld(X_40,X_40)),
    inference(subst,[],[refute_0_75:[bind(B,$fot(X_40))]]) ).

cnf(refute_0_77,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_78,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_46,refute_0_77]) ).

cnf(refute_0_79,plain,
    ( mult(rd(X_38,ld(X_40,X_40)),mult(ld(X_40,X_40),X_40)) != rd(mult(X_38,X_40),ld(X_40,X_40))
    | rd(mult(X_38,mult(X_40,ld(X_40,X_40))),ld(X_40,X_40)) != mult(rd(X_38,ld(X_40,X_40)),mult(ld(X_40,X_40),X_40))
    | rd(mult(X_38,mult(X_40,ld(X_40,X_40))),ld(X_40,X_40)) = rd(mult(X_38,X_40),ld(X_40,X_40)) ),
    inference(subst,[],[refute_0_78:[bind(X,$fot(rd(mult(X_38,mult(X_40,ld(X_40,X_40))),ld(X_40,X_40)))),bind(Y,$fot(mult(rd(X_38,ld(X_40,X_40)),mult(ld(X_40,X_40),X_40)))),bind(Z,$fot(rd(mult(X_38,X_40),ld(X_40,X_40))))]]) ).

cnf(refute_0_80,plain,
    ( mult(rd(X_38,ld(X_40,X_40)),mult(ld(X_40,X_40),X_40)) != rd(mult(X_38,X_40),ld(X_40,X_40))
    | rd(mult(X_38,mult(X_40,ld(X_40,X_40))),ld(X_40,X_40)) = rd(mult(X_38,X_40),ld(X_40,X_40)) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_38,mult(X_40,ld(X_40,X_40))),ld(X_40,X_40)),mult(rd(X_38,ld(X_40,X_40)),mult(ld(X_40,X_40),X_40))) )],[refute_0_64,refute_0_79]) ).

cnf(refute_0_81,plain,
    rd(mult(X_38,mult(X_40,ld(X_40,X_40))),ld(X_40,X_40)) = rd(mult(X_38,X_40),ld(X_40,X_40)),
    inference(resolve,[$cnf( $equal(mult(rd(X_38,ld(X_40,X_40)),mult(ld(X_40,X_40),X_40)),rd(mult(X_38,X_40),ld(X_40,X_40))) )],[refute_0_76,refute_0_80]) ).

cnf(refute_0_82,plain,
    ( rd(mult(X_38,mult(X_40,ld(X_40,X_40))),ld(X_40,X_40)) != mult(rd(X_38,ld(X_40,X_40)),X_40)
    | rd(mult(X_38,mult(X_40,ld(X_40,X_40))),ld(X_40,X_40)) != rd(mult(X_38,X_40),ld(X_40,X_40))
    | rd(mult(X_38,X_40),ld(X_40,X_40)) = mult(rd(X_38,ld(X_40,X_40)),X_40) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_38,mult(X_40,ld(X_40,X_40))),ld(X_40,X_40)),mult(rd(X_38,ld(X_40,X_40)),X_40)) ),[0],$fot(rd(mult(X_38,X_40),ld(X_40,X_40)))]]) ).

cnf(refute_0_83,plain,
    ( rd(mult(X_38,mult(X_40,ld(X_40,X_40))),ld(X_40,X_40)) != mult(rd(X_38,ld(X_40,X_40)),X_40)
    | rd(mult(X_38,X_40),ld(X_40,X_40)) = mult(rd(X_38,ld(X_40,X_40)),X_40) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_38,mult(X_40,ld(X_40,X_40))),ld(X_40,X_40)),rd(mult(X_38,X_40),ld(X_40,X_40))) )],[refute_0_81,refute_0_82]) ).

cnf(refute_0_84,plain,
    rd(mult(X_38,X_40),ld(X_40,X_40)) = mult(rd(X_38,ld(X_40,X_40)),X_40),
    inference(resolve,[$cnf( $equal(rd(mult(X_38,mult(X_40,ld(X_40,X_40))),ld(X_40,X_40)),mult(rd(X_38,ld(X_40,X_40)),X_40)) )],[refute_0_68,refute_0_83]) ).

cnf(refute_0_85,plain,
    rd(mult(ld(X_42,X_42),X_42),ld(X_42,X_42)) = mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42),
    inference(subst,[],[refute_0_84:[bind(X_38,$fot(ld(X_42,X_42))),bind(X_40,$fot(X_42))]]) ).

cnf(refute_0_86,plain,
    mult(ld(X_42,X_42),X_42) = X_42,
    inference(subst,[],[refute_0_57:[bind(B,$fot(X_42))]]) ).

cnf(refute_0_87,plain,
    ( mult(ld(X_42,X_42),X_42) != X_42
    | rd(mult(ld(X_42,X_42),X_42),ld(X_42,X_42)) != mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42)
    | rd(X_42,ld(X_42,X_42)) = mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(ld(X_42,X_42),X_42),ld(X_42,X_42)),mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42)) ),[0,0],$fot(X_42)]]) ).

cnf(refute_0_88,plain,
    ( rd(mult(ld(X_42,X_42),X_42),ld(X_42,X_42)) != mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42)
    | rd(X_42,ld(X_42,X_42)) = mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_42,X_42),X_42),X_42) )],[refute_0_86,refute_0_87]) ).

cnf(refute_0_89,plain,
    rd(X_42,ld(X_42,X_42)) = mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42),
    inference(resolve,[$cnf( $equal(rd(mult(ld(X_42,X_42),X_42),ld(X_42,X_42)),mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42)) )],[refute_0_85,refute_0_88]) ).

cnf(refute_0_90,plain,
    rd(X_42,ld(X_42,X_42)) = X_42,
    inference(subst,[],[refute_0_21:[bind(B,$fot(X_42)),bind(X_8,$fot(X_42))]]) ).

cnf(refute_0_91,plain,
    ( rd(X_42,ld(X_42,X_42)) != X_42
    | rd(X_42,ld(X_42,X_42)) != mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42)
    | X_42 = mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(X_42,ld(X_42,X_42)),mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42)) ),[0],$fot(X_42)]]) ).

cnf(refute_0_92,plain,
    ( rd(X_42,ld(X_42,X_42)) != mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42)
    | X_42 = mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42) ),
    inference(resolve,[$cnf( $equal(rd(X_42,ld(X_42,X_42)),X_42) )],[refute_0_90,refute_0_91]) ).

cnf(refute_0_93,plain,
    ( ld(A,A) != rd(A,A)
    | rd(A,A) = ld(A,A) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(ld(A,A))),bind(Y,$fot(rd(A,A)))]]) ).

cnf(refute_0_94,plain,
    rd(A,A) = ld(A,A),
    inference(resolve,[$cnf( $equal(ld(A,A),rd(A,A)) )],[refute_0_51,refute_0_93]) ).

cnf(refute_0_95,plain,
    rd(ld(X_42,X_42),ld(X_42,X_42)) = ld(ld(X_42,X_42),ld(X_42,X_42)),
    inference(subst,[],[refute_0_94:[bind(A,$fot(ld(X_42,X_42)))]]) ).

cnf(refute_0_96,plain,
    mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42) = mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42),
    introduced(tautology,[refl,[$fot(mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42))]]) ).

cnf(refute_0_97,plain,
    ( mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42) != mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42)
    | rd(ld(X_42,X_42),ld(X_42,X_42)) != ld(ld(X_42,X_42),ld(X_42,X_42))
    | mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42) = mult(ld(ld(X_42,X_42),ld(X_42,X_42)),X_42) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42),mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42)) ),[1,0],$fot(ld(ld(X_42,X_42),ld(X_42,X_42)))]]) ).

cnf(refute_0_98,plain,
    ( rd(ld(X_42,X_42),ld(X_42,X_42)) != ld(ld(X_42,X_42),ld(X_42,X_42))
    | mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42) = mult(ld(ld(X_42,X_42),ld(X_42,X_42)),X_42) ),
    inference(resolve,[$cnf( $equal(mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42),mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42)) )],[refute_0_96,refute_0_97]) ).

cnf(refute_0_99,plain,
    mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42) = mult(ld(ld(X_42,X_42),ld(X_42,X_42)),X_42),
    inference(resolve,[$cnf( $equal(rd(ld(X_42,X_42),ld(X_42,X_42)),ld(ld(X_42,X_42),ld(X_42,X_42))) )],[refute_0_95,refute_0_98]) ).

cnf(refute_0_100,plain,
    ( X_42 != mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42)
    | mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42) != mult(ld(ld(X_42,X_42),ld(X_42,X_42)),X_42)
    | X_42 = mult(ld(ld(X_42,X_42),ld(X_42,X_42)),X_42) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_42,mult(ld(ld(X_42,X_42),ld(X_42,X_42)),X_42)) ),[0],$fot(mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42))]]) ).

cnf(refute_0_101,plain,
    ( X_42 != mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42)
    | X_42 = mult(ld(ld(X_42,X_42),ld(X_42,X_42)),X_42) ),
    inference(resolve,[$cnf( $equal(mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42),mult(ld(ld(X_42,X_42),ld(X_42,X_42)),X_42)) )],[refute_0_99,refute_0_100]) ).

cnf(refute_0_102,plain,
    ( rd(X_42,ld(X_42,X_42)) != mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42)
    | X_42 = mult(ld(ld(X_42,X_42),ld(X_42,X_42)),X_42) ),
    inference(resolve,[$cnf( $equal(X_42,mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42)) )],[refute_0_92,refute_0_101]) ).

cnf(refute_0_103,plain,
    X_42 = mult(ld(ld(X_42,X_42),ld(X_42,X_42)),X_42),
    inference(resolve,[$cnf( $equal(rd(X_42,ld(X_42,X_42)),mult(rd(ld(X_42,X_42),ld(X_42,X_42)),X_42)) )],[refute_0_89,refute_0_102]) ).

cnf(refute_0_104,plain,
    B = mult(ld(ld(B,B),ld(B,B)),B),
    inference(subst,[],[refute_0_103:[bind(X_42,$fot(B))]]) ).

cnf(refute_0_105,plain,
    ( B != mult(ld(ld(B,B),ld(B,B)),B)
    | mult(ld(ld(B,B),ld(B,B)),B) = B ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(B)),bind(Y,$fot(mult(ld(ld(B,B),ld(B,B)),B)))]]) ).

cnf(refute_0_106,plain,
    mult(ld(ld(B,B),ld(B,B)),B) = B,
    inference(resolve,[$cnf( $equal(B,mult(ld(ld(B,B),ld(B,B)),B)) )],[refute_0_104,refute_0_105]) ).

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

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

cnf(refute_0_109,plain,
    rd(B,B) = ld(ld(B,B),ld(B,B)),
    inference(resolve,[$cnf( $equal(rd(mult(ld(ld(B,B),ld(B,B)),B),B),ld(ld(B,B),ld(B,B))) )],[refute_0_59,refute_0_108]) ).

cnf(refute_0_110,plain,
    ( rd(B,B) != ld(B,B)
    | rd(B,B) != ld(ld(B,B),ld(B,B))
    | ld(B,B) = ld(ld(B,B),ld(B,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(B,B),ld(ld(B,B),ld(B,B))) ),[0],$fot(ld(B,B))]]) ).

cnf(refute_0_111,plain,
    ( rd(B,B) != ld(ld(B,B),ld(B,B))
    | ld(B,B) = ld(ld(B,B),ld(B,B)) ),
    inference(resolve,[$cnf( $equal(rd(B,B),ld(B,B)) )],[refute_0_54,refute_0_110]) ).

cnf(refute_0_112,plain,
    ld(B,B) = ld(ld(B,B),ld(B,B)),
    inference(resolve,[$cnf( $equal(rd(B,B),ld(ld(B,B),ld(B,B))) )],[refute_0_109,refute_0_111]) ).

cnf(refute_0_113,plain,
    ld(X_54,X_54) = ld(ld(X_54,X_54),ld(X_54,X_54)),
    inference(subst,[],[refute_0_112:[bind(B,$fot(X_54))]]) ).

cnf(refute_0_114,plain,
    ( 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) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(ld(X_54,X_54))),bind(Y,$fot(ld(ld(X_54,X_54),ld(X_54,X_54))))]]) ).

cnf(refute_0_115,plain,
    ld(ld(X_54,X_54),ld(X_54,X_54)) = ld(X_54,X_54),
    inference(resolve,[$cnf( $equal(ld(X_54,X_54),ld(ld(X_54,X_54),ld(X_54,X_54))) )],[refute_0_113,refute_0_114]) ).

cnf(refute_0_116,plain,
    ( ld(ld(X_54,X_54),ld(X_54,X_54)) != ld(X_54,X_54)
    | mult(ld(ld(X_54,X_54),ld(X_54,X_54)),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) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(ld(ld(X_54,X_54),ld(X_54,X_54)),ld(X_54,X_54)),ld(X_54,X_54)) ),[0,0],$fot(ld(X_54,X_54))]]) ).

cnf(refute_0_117,plain,
    ( mult(ld(ld(X_54,X_54),ld(X_54,X_54)),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(resolve,[$cnf( $equal(ld(ld(X_54,X_54),ld(X_54,X_54)),ld(X_54,X_54)) )],[refute_0_115,refute_0_116]) ).

cnf(refute_0_118,plain,
    mult(ld(X_54,X_54),ld(X_54,X_54)) = ld(X_54,X_54),
    inference(resolve,[$cnf( $equal(mult(ld(ld(X_54,X_54),ld(X_54,X_54)),ld(X_54,X_54)),ld(X_54,X_54)) )],[refute_0_58,refute_0_117]) ).

cnf(refute_0_119,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_148,ld(X_54,X_54))) != mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148))
    | rd(ld(X_54,X_54),ld(X_148,ld(X_54,X_54))) = mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(ld(X_54,X_54),ld(X_54,X_54)),ld(X_148,ld(X_54,X_54))),mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148))) ),[0,0],$fot(ld(X_54,X_54))]]) ).

cnf(refute_0_120,plain,
    ( rd(mult(ld(X_54,X_54),ld(X_54,X_54)),ld(X_148,ld(X_54,X_54))) != mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148))
    | rd(ld(X_54,X_54),ld(X_148,ld(X_54,X_54))) = mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148)) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_54,X_54),ld(X_54,X_54)),ld(X_54,X_54)) )],[refute_0_118,refute_0_119]) ).

cnf(refute_0_121,plain,
    rd(ld(X_54,X_54),ld(X_148,ld(X_54,X_54))) = mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148)),
    inference(resolve,[$cnf( $equal(rd(mult(ld(X_54,X_54),ld(X_54,X_54)),ld(X_148,ld(X_54,X_54))),mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148))) )],[refute_0_26,refute_0_120]) ).

cnf(refute_0_122,plain,
    rd(ld(X_54,X_54),ld(X_148,ld(X_54,X_54))) = X_148,
    inference(subst,[],[refute_0_21:[bind(B,$fot(ld(X_54,X_54))),bind(X_8,$fot(X_148))]]) ).

cnf(refute_0_123,plain,
    ( rd(ld(X_54,X_54),ld(X_148,ld(X_54,X_54))) != X_148
    | rd(ld(X_54,X_54),ld(X_148,ld(X_54,X_54))) != mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148))
    | X_148 = mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_54,X_54),ld(X_148,ld(X_54,X_54))),mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148))) ),[0],$fot(X_148)]]) ).

cnf(refute_0_124,plain,
    ( rd(ld(X_54,X_54),ld(X_148,ld(X_54,X_54))) != mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148))
    | X_148 = mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148)) ),
    inference(resolve,[$cnf( $equal(rd(ld(X_54,X_54),ld(X_148,ld(X_54,X_54))),X_148) )],[refute_0_122,refute_0_123]) ).

cnf(refute_0_125,plain,
    ld(mult(X_23,X_24),mult(mult(X_23,X_24),mult(ld(X_24,X_22),X_24))) = mult(ld(X_24,X_22),X_24),
    inference(subst,[],[f02:[bind(A,$fot(mult(X_23,X_24))),bind(B,$fot(mult(ld(X_24,X_22),X_24)))]]) ).

cnf(refute_0_126,plain,
    mult(mult(X_13,mult(X_14,ld(X_14,B))),X_14) = mult(mult(X_13,X_14),mult(ld(X_14,B),X_14)),
    inference(subst,[],[f05:[bind(A,$fot(X_13)),bind(B,$fot(X_14)),bind(C,$fot(ld(X_14,B)))]]) ).

cnf(refute_0_127,plain,
    mult(X_14,ld(X_14,B)) = B,
    inference(subst,[],[f01:[bind(A,$fot(X_14))]]) ).

cnf(refute_0_128,plain,
    ( mult(X_14,ld(X_14,B)) != B
    | mult(mult(X_13,mult(X_14,ld(X_14,B))),X_14) != mult(mult(X_13,X_14),mult(ld(X_14,B),X_14))
    | mult(mult(X_13,B),X_14) = mult(mult(X_13,X_14),mult(ld(X_14,B),X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_13,mult(X_14,ld(X_14,B))),X_14),mult(mult(X_13,X_14),mult(ld(X_14,B),X_14))) ),[0,0,1],$fot(B)]]) ).

cnf(refute_0_129,plain,
    ( mult(mult(X_13,mult(X_14,ld(X_14,B))),X_14) != mult(mult(X_13,X_14),mult(ld(X_14,B),X_14))
    | mult(mult(X_13,B),X_14) = mult(mult(X_13,X_14),mult(ld(X_14,B),X_14)) ),
    inference(resolve,[$cnf( $equal(mult(X_14,ld(X_14,B)),B) )],[refute_0_127,refute_0_128]) ).

cnf(refute_0_130,plain,
    mult(mult(X_13,B),X_14) = mult(mult(X_13,X_14),mult(ld(X_14,B),X_14)),
    inference(resolve,[$cnf( $equal(mult(mult(X_13,mult(X_14,ld(X_14,B))),X_14),mult(mult(X_13,X_14),mult(ld(X_14,B),X_14))) )],[refute_0_126,refute_0_129]) ).

cnf(refute_0_131,plain,
    mult(mult(X_23,X_22),X_24) = mult(mult(X_23,X_24),mult(ld(X_24,X_22),X_24)),
    inference(subst,[],[refute_0_130:[bind(B,$fot(X_22)),bind(X_13,$fot(X_23)),bind(X_14,$fot(X_24))]]) ).

cnf(refute_0_132,plain,
    ( mult(mult(X_23,X_22),X_24) != mult(mult(X_23,X_24),mult(ld(X_24,X_22),X_24))
    | mult(mult(X_23,X_24),mult(ld(X_24,X_22),X_24)) = mult(mult(X_23,X_22),X_24) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(mult(mult(X_23,X_22),X_24))),bind(Y,$fot(mult(mult(X_23,X_24),mult(ld(X_24,X_22),X_24))))]]) ).

cnf(refute_0_133,plain,
    mult(mult(X_23,X_24),mult(ld(X_24,X_22),X_24)) = mult(mult(X_23,X_22),X_24),
    inference(resolve,[$cnf( $equal(mult(mult(X_23,X_22),X_24),mult(mult(X_23,X_24),mult(ld(X_24,X_22),X_24))) )],[refute_0_131,refute_0_132]) ).

cnf(refute_0_134,plain,
    ( ld(mult(X_23,X_24),mult(mult(X_23,X_24),mult(ld(X_24,X_22),X_24))) != mult(ld(X_24,X_22),X_24)
    | mult(mult(X_23,X_24),mult(ld(X_24,X_22),X_24)) != mult(mult(X_23,X_22),X_24)
    | ld(mult(X_23,X_24),mult(mult(X_23,X_22),X_24)) = mult(ld(X_24,X_22),X_24) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_23,X_24),mult(mult(X_23,X_24),mult(ld(X_24,X_22),X_24))),mult(ld(X_24,X_22),X_24)) ),[0,1],$fot(mult(mult(X_23,X_22),X_24))]]) ).

cnf(refute_0_135,plain,
    ( ld(mult(X_23,X_24),mult(mult(X_23,X_24),mult(ld(X_24,X_22),X_24))) != mult(ld(X_24,X_22),X_24)
    | ld(mult(X_23,X_24),mult(mult(X_23,X_22),X_24)) = mult(ld(X_24,X_22),X_24) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_23,X_24),mult(ld(X_24,X_22),X_24)),mult(mult(X_23,X_22),X_24)) )],[refute_0_133,refute_0_134]) ).

cnf(refute_0_136,plain,
    ld(mult(X_23,X_24),mult(mult(X_23,X_22),X_24)) = mult(ld(X_24,X_22),X_24),
    inference(resolve,[$cnf( $equal(ld(mult(X_23,X_24),mult(mult(X_23,X_24),mult(ld(X_24,X_22),X_24))),mult(ld(X_24,X_22),X_24)) )],[refute_0_125,refute_0_135]) ).

cnf(refute_0_137,plain,
    ld(mult(X_77,X_78),mult(mult(X_77,ld(X_77,B)),X_78)) = mult(ld(X_78,ld(X_77,B)),X_78),
    inference(subst,[],[refute_0_136:[bind(X_22,$fot(ld(X_77,B))),bind(X_23,$fot(X_77)),bind(X_24,$fot(X_78))]]) ).

cnf(refute_0_138,plain,
    mult(X_77,ld(X_77,B)) = B,
    inference(subst,[],[f01:[bind(A,$fot(X_77))]]) ).

cnf(refute_0_139,plain,
    ( ld(mult(X_77,X_78),mult(mult(X_77,ld(X_77,B)),X_78)) != mult(ld(X_78,ld(X_77,B)),X_78)
    | mult(X_77,ld(X_77,B)) != B
    | ld(mult(X_77,X_78),mult(B,X_78)) = mult(ld(X_78,ld(X_77,B)),X_78) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_77,X_78),mult(mult(X_77,ld(X_77,B)),X_78)),mult(ld(X_78,ld(X_77,B)),X_78)) ),[0,1,0],$fot(B)]]) ).

cnf(refute_0_140,plain,
    ( ld(mult(X_77,X_78),mult(mult(X_77,ld(X_77,B)),X_78)) != mult(ld(X_78,ld(X_77,B)),X_78)
    | ld(mult(X_77,X_78),mult(B,X_78)) = mult(ld(X_78,ld(X_77,B)),X_78) ),
    inference(resolve,[$cnf( $equal(mult(X_77,ld(X_77,B)),B) )],[refute_0_138,refute_0_139]) ).

cnf(refute_0_141,plain,
    ld(mult(X_77,X_78),mult(B,X_78)) = mult(ld(X_78,ld(X_77,B)),X_78),
    inference(resolve,[$cnf( $equal(ld(mult(X_77,X_78),mult(mult(X_77,ld(X_77,B)),X_78)),mult(ld(X_78,ld(X_77,B)),X_78)) )],[refute_0_137,refute_0_140]) ).

cnf(refute_0_142,plain,
    ( ld(mult(X_77,X_78),mult(B,X_78)) != mult(ld(X_78,ld(X_77,B)),X_78)
    | mult(ld(X_78,ld(X_77,B)),X_78) = ld(mult(X_77,X_78),mult(B,X_78)) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(ld(mult(X_77,X_78),mult(B,X_78)))),bind(Y,$fot(mult(ld(X_78,ld(X_77,B)),X_78)))]]) ).

cnf(refute_0_143,plain,
    mult(ld(X_78,ld(X_77,B)),X_78) = ld(mult(X_77,X_78),mult(B,X_78)),
    inference(resolve,[$cnf( $equal(ld(mult(X_77,X_78),mult(B,X_78)),mult(ld(X_78,ld(X_77,B)),X_78)) )],[refute_0_141,refute_0_142]) ).

cnf(refute_0_144,plain,
    mult(ld(X_148,ld(X_54,X_54)),X_148) = ld(mult(X_54,X_148),mult(X_54,X_148)),
    inference(subst,[],[refute_0_143:[bind(B,$fot(X_54)),bind(X_77,$fot(X_54)),bind(X_78,$fot(X_148))]]) ).

cnf(refute_0_145,plain,
    mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148)) = mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148)),
    introduced(tautology,[refl,[$fot(mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148)))]]) ).

cnf(refute_0_146,plain,
    ( mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148)) != mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148))
    | mult(ld(X_148,ld(X_54,X_54)),X_148) != ld(mult(X_54,X_148),mult(X_54,X_148))
    | mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148)) = mult(X_148,ld(mult(X_54,X_148),mult(X_54,X_148))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148)),mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148))) ),[1,1],$fot(ld(mult(X_54,X_148),mult(X_54,X_148)))]]) ).

cnf(refute_0_147,plain,
    ( mult(ld(X_148,ld(X_54,X_54)),X_148) != ld(mult(X_54,X_148),mult(X_54,X_148))
    | mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148)) = mult(X_148,ld(mult(X_54,X_148),mult(X_54,X_148))) ),
    inference(resolve,[$cnf( $equal(mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148)),mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148))) )],[refute_0_145,refute_0_146]) ).

cnf(refute_0_148,plain,
    mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148)) = mult(X_148,ld(mult(X_54,X_148),mult(X_54,X_148))),
    inference(resolve,[$cnf( $equal(mult(ld(X_148,ld(X_54,X_54)),X_148),ld(mult(X_54,X_148),mult(X_54,X_148))) )],[refute_0_144,refute_0_147]) ).

cnf(refute_0_149,plain,
    ( X_148 != mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148))
    | mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148)) != mult(X_148,ld(mult(X_54,X_148),mult(X_54,X_148)))
    | X_148 = mult(X_148,ld(mult(X_54,X_148),mult(X_54,X_148))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_148,mult(X_148,ld(mult(X_54,X_148),mult(X_54,X_148)))) ),[0],$fot(mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148)))]]) ).

cnf(refute_0_150,plain,
    ( X_148 != mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148))
    | X_148 = mult(X_148,ld(mult(X_54,X_148),mult(X_54,X_148))) ),
    inference(resolve,[$cnf( $equal(mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148)),mult(X_148,ld(mult(X_54,X_148),mult(X_54,X_148)))) )],[refute_0_148,refute_0_149]) ).

cnf(refute_0_151,plain,
    ( rd(ld(X_54,X_54),ld(X_148,ld(X_54,X_54))) != mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148))
    | X_148 = mult(X_148,ld(mult(X_54,X_148),mult(X_54,X_148))) ),
    inference(resolve,[$cnf( $equal(X_148,mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148))) )],[refute_0_124,refute_0_150]) ).

cnf(refute_0_152,plain,
    X_148 = mult(X_148,ld(mult(X_54,X_148),mult(X_54,X_148))),
    inference(resolve,[$cnf( $equal(rd(ld(X_54,X_54),ld(X_148,ld(X_54,X_54))),mult(X_148,mult(ld(X_148,ld(X_54,X_54)),X_148))) )],[refute_0_121,refute_0_151]) ).

cnf(refute_0_153,plain,
    X_149 = mult(X_149,ld(mult(rd(A,X_149),X_149),mult(rd(A,X_149),X_149))),
    inference(subst,[],[refute_0_152:[bind(X_148,$fot(X_149)),bind(X_54,$fot(rd(A,X_149)))]]) ).

cnf(refute_0_154,plain,
    mult(rd(A,X_149),X_149) = A,
    inference(subst,[],[f03:[bind(B,$fot(X_149))]]) ).

cnf(refute_0_155,plain,
    ( X_149 != mult(X_149,ld(mult(rd(A,X_149),X_149),mult(rd(A,X_149),X_149)))
    | mult(rd(A,X_149),X_149) != A
    | X_149 = mult(X_149,ld(mult(rd(A,X_149),X_149),A)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_149,mult(X_149,ld(mult(rd(A,X_149),X_149),mult(rd(A,X_149),X_149)))) ),[1,1,1],$fot(A)]]) ).

cnf(refute_0_156,plain,
    ( X_149 != mult(X_149,ld(mult(rd(A,X_149),X_149),mult(rd(A,X_149),X_149)))
    | X_149 = mult(X_149,ld(mult(rd(A,X_149),X_149),A)) ),
    inference(resolve,[$cnf( $equal(mult(rd(A,X_149),X_149),A) )],[refute_0_154,refute_0_155]) ).

cnf(refute_0_157,plain,
    X_149 = mult(X_149,ld(mult(rd(A,X_149),X_149),A)),
    inference(resolve,[$cnf( $equal(X_149,mult(X_149,ld(mult(rd(A,X_149),X_149),mult(rd(A,X_149),X_149)))) )],[refute_0_153,refute_0_156]) ).

cnf(refute_0_158,plain,
    ld(mult(rd(A,X_149),X_149),A) = ld(mult(rd(A,X_149),X_149),A),
    introduced(tautology,[refl,[$fot(ld(mult(rd(A,X_149),X_149),A))]]) ).

cnf(refute_0_159,plain,
    ( ld(mult(rd(A,X_149),X_149),A) != ld(mult(rd(A,X_149),X_149),A)
    | mult(rd(A,X_149),X_149) != A
    | ld(mult(rd(A,X_149),X_149),A) = ld(A,A) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(rd(A,X_149),X_149),A),ld(mult(rd(A,X_149),X_149),A)) ),[1,0],$fot(A)]]) ).

cnf(refute_0_160,plain,
    ( mult(rd(A,X_149),X_149) != A
    | ld(mult(rd(A,X_149),X_149),A) = ld(A,A) ),
    inference(resolve,[$cnf( $equal(ld(mult(rd(A,X_149),X_149),A),ld(mult(rd(A,X_149),X_149),A)) )],[refute_0_158,refute_0_159]) ).

cnf(refute_0_161,plain,
    ld(mult(rd(A,X_149),X_149),A) = ld(A,A),
    inference(resolve,[$cnf( $equal(mult(rd(A,X_149),X_149),A) )],[refute_0_154,refute_0_160]) ).

cnf(refute_0_162,plain,
    mult(X_149,ld(mult(rd(A,X_149),X_149),A)) = mult(X_149,ld(mult(rd(A,X_149),X_149),A)),
    introduced(tautology,[refl,[$fot(mult(X_149,ld(mult(rd(A,X_149),X_149),A)))]]) ).

cnf(refute_0_163,plain,
    ( ld(mult(rd(A,X_149),X_149),A) != ld(A,A)
    | mult(X_149,ld(mult(rd(A,X_149),X_149),A)) != mult(X_149,ld(mult(rd(A,X_149),X_149),A))
    | mult(X_149,ld(mult(rd(A,X_149),X_149),A)) = mult(X_149,ld(A,A)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_149,ld(mult(rd(A,X_149),X_149),A)),mult(X_149,ld(mult(rd(A,X_149),X_149),A))) ),[1,1],$fot(ld(A,A))]]) ).

cnf(refute_0_164,plain,
    ( ld(mult(rd(A,X_149),X_149),A) != ld(A,A)
    | mult(X_149,ld(mult(rd(A,X_149),X_149),A)) = mult(X_149,ld(A,A)) ),
    inference(resolve,[$cnf( $equal(mult(X_149,ld(mult(rd(A,X_149),X_149),A)),mult(X_149,ld(mult(rd(A,X_149),X_149),A))) )],[refute_0_162,refute_0_163]) ).

cnf(refute_0_165,plain,
    mult(X_149,ld(mult(rd(A,X_149),X_149),A)) = mult(X_149,ld(A,A)),
    inference(resolve,[$cnf( $equal(ld(mult(rd(A,X_149),X_149),A),ld(A,A)) )],[refute_0_161,refute_0_164]) ).

cnf(refute_0_166,plain,
    ( X_149 != mult(X_149,ld(mult(rd(A,X_149),X_149),A))
    | mult(X_149,ld(mult(rd(A,X_149),X_149),A)) != mult(X_149,ld(A,A))
    | X_149 = mult(X_149,ld(A,A)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_149,mult(X_149,ld(A,A))) ),[0],$fot(mult(X_149,ld(mult(rd(A,X_149),X_149),A)))]]) ).

cnf(refute_0_167,plain,
    ( X_149 != mult(X_149,ld(mult(rd(A,X_149),X_149),A))
    | X_149 = mult(X_149,ld(A,A)) ),
    inference(resolve,[$cnf( $equal(mult(X_149,ld(mult(rd(A,X_149),X_149),A)),mult(X_149,ld(A,A))) )],[refute_0_165,refute_0_166]) ).

cnf(refute_0_168,plain,
    X_149 = mult(X_149,ld(A,A)),
    inference(resolve,[$cnf( $equal(X_149,mult(X_149,ld(mult(rd(A,X_149),X_149),A))) )],[refute_0_157,refute_0_167]) ).

cnf(refute_0_169,plain,
    x1_2(ld(X_151,X_151)) = mult(x1_2(ld(X_151,X_151)),ld(X_151,X_151)),
    inference(subst,[],[refute_0_168:[bind(A,$fot(X_151)),bind(X_149,$fot(x1_2(ld(X_151,X_151))))]]) ).

cnf(refute_0_170,plain,
    ( x1_2(ld(X_151,X_151)) != mult(x1_2(ld(X_151,X_151)),ld(X_151,X_151))
    | mult(x1_2(ld(X_151,X_151)),ld(X_151,X_151)) = x1_2(ld(X_151,X_151)) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(x1_2(ld(X_151,X_151)))),bind(Y,$fot(mult(x1_2(ld(X_151,X_151)),ld(X_151,X_151))))]]) ).

cnf(refute_0_171,plain,
    mult(x1_2(ld(X_151,X_151)),ld(X_151,X_151)) = x1_2(ld(X_151,X_151)),
    inference(resolve,[$cnf( $equal(x1_2(ld(X_151,X_151)),mult(x1_2(ld(X_151,X_151)),ld(X_151,X_151))) )],[refute_0_169,refute_0_170]) ).

cnf(refute_0_172,plain,
    ( mult(x1_2(ld(X_151,X_151)),ld(X_151,X_151)) != x1_2(ld(X_151,X_151))
    | tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),x1_2(ld(X_151,X_151))) != tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151)))
    | tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),mult(x1_2(ld(X_151,X_151)),ld(X_151,X_151))) = tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),mult(x1_2(ld(X_151,X_151)),ld(X_151,X_151))),tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151)))) ),[0,1],$fot(x1_2(ld(X_151,X_151)))]]) ).

cnf(refute_0_173,plain,
    ( tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),x1_2(ld(X_151,X_151))) != tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151)))
    | tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),mult(x1_2(ld(X_151,X_151)),ld(X_151,X_151))) = tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151))) ),
    inference(resolve,[$cnf( $equal(mult(x1_2(ld(X_151,X_151)),ld(X_151,X_151)),x1_2(ld(X_151,X_151))) )],[refute_0_171,refute_0_172]) ).

cnf(refute_0_174,plain,
    tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),x1_2(ld(X_151,X_151))) != tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151))),
    inference(resolve,[$cnf( $equal(tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),mult(x1_2(ld(X_151,X_151)),ld(X_151,X_151))),tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151)))) )],[refute_0_173,refute_0_0]) ).

cnf(refute_0_175,plain,
    ld(mult(ld(X_54,X_54),ld(X_54,X_54)),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))) = mult(ld(ld(X_54,X_54),X_76),ld(X_54,X_54)),
    inference(subst,[],[refute_0_136:[bind(X_22,$fot(X_76)),bind(X_23,$fot(ld(X_54,X_54))),bind(X_24,$fot(ld(X_54,X_54)))]]) ).

cnf(refute_0_176,plain,
    ( ld(mult(ld(X_54,X_54),ld(X_54,X_54)),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))) != mult(ld(ld(X_54,X_54),X_76),ld(X_54,X_54))
    | mult(ld(X_54,X_54),ld(X_54,X_54)) != ld(X_54,X_54)
    | ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))) = mult(ld(ld(X_54,X_54),X_76),ld(X_54,X_54)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(ld(X_54,X_54),ld(X_54,X_54)),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))),mult(ld(ld(X_54,X_54),X_76),ld(X_54,X_54))) ),[0,0],$fot(ld(X_54,X_54))]]) ).

cnf(refute_0_177,plain,
    ( ld(mult(ld(X_54,X_54),ld(X_54,X_54)),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))) != mult(ld(ld(X_54,X_54),X_76),ld(X_54,X_54))
    | ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))) = mult(ld(ld(X_54,X_54),X_76),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_118,refute_0_176]) ).

cnf(refute_0_178,plain,
    ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))) = mult(ld(ld(X_54,X_54),X_76),ld(X_54,X_54)),
    inference(resolve,[$cnf( $equal(ld(mult(ld(X_54,X_54),ld(X_54,X_54)),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))),mult(ld(ld(X_54,X_54),X_76),ld(X_54,X_54))) )],[refute_0_175,refute_0_177]) ).

cnf(refute_0_179,plain,
    ld(mult(X_77,ld(X_77,B)),mult(mult(X_77,X_76),ld(X_77,B))) = mult(ld(ld(X_77,B),X_76),ld(X_77,B)),
    inference(subst,[],[refute_0_136:[bind(X_22,$fot(X_76)),bind(X_23,$fot(X_77)),bind(X_24,$fot(ld(X_77,B)))]]) ).

cnf(refute_0_180,plain,
    ( ld(mult(X_77,ld(X_77,B)),mult(mult(X_77,X_76),ld(X_77,B))) != mult(ld(ld(X_77,B),X_76),ld(X_77,B))
    | mult(X_77,ld(X_77,B)) != B
    | ld(B,mult(mult(X_77,X_76),ld(X_77,B))) = mult(ld(ld(X_77,B),X_76),ld(X_77,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_77,ld(X_77,B)),mult(mult(X_77,X_76),ld(X_77,B))),mult(ld(ld(X_77,B),X_76),ld(X_77,B))) ),[0,0],$fot(B)]]) ).

cnf(refute_0_181,plain,
    ( ld(mult(X_77,ld(X_77,B)),mult(mult(X_77,X_76),ld(X_77,B))) != mult(ld(ld(X_77,B),X_76),ld(X_77,B))
    | ld(B,mult(mult(X_77,X_76),ld(X_77,B))) = mult(ld(ld(X_77,B),X_76),ld(X_77,B)) ),
    inference(resolve,[$cnf( $equal(mult(X_77,ld(X_77,B)),B) )],[refute_0_138,refute_0_180]) ).

cnf(refute_0_182,plain,
    ld(B,mult(mult(X_77,X_76),ld(X_77,B))) = mult(ld(ld(X_77,B),X_76),ld(X_77,B)),
    inference(resolve,[$cnf( $equal(ld(mult(X_77,ld(X_77,B)),mult(mult(X_77,X_76),ld(X_77,B))),mult(ld(ld(X_77,B),X_76),ld(X_77,B))) )],[refute_0_179,refute_0_181]) ).

cnf(refute_0_183,plain,
    ( ld(B,mult(mult(X_77,X_76),ld(X_77,B))) != mult(ld(ld(X_77,B),X_76),ld(X_77,B))
    | mult(ld(ld(X_77,B),X_76),ld(X_77,B)) = ld(B,mult(mult(X_77,X_76),ld(X_77,B))) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(ld(B,mult(mult(X_77,X_76),ld(X_77,B))))),bind(Y,$fot(mult(ld(ld(X_77,B),X_76),ld(X_77,B))))]]) ).

cnf(refute_0_184,plain,
    mult(ld(ld(X_77,B),X_76),ld(X_77,B)) = ld(B,mult(mult(X_77,X_76),ld(X_77,B))),
    inference(resolve,[$cnf( $equal(ld(B,mult(mult(X_77,X_76),ld(X_77,B))),mult(ld(ld(X_77,B),X_76),ld(X_77,B))) )],[refute_0_182,refute_0_183]) ).

cnf(refute_0_185,plain,
    mult(ld(ld(X_54,X_54),X_76),ld(X_54,X_54)) = ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54))),
    inference(subst,[],[refute_0_184:[bind(B,$fot(X_54)),bind(X_77,$fot(X_54))]]) ).

cnf(refute_0_186,plain,
    ( ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))) != mult(ld(ld(X_54,X_54),X_76),ld(X_54,X_54))
    | mult(ld(ld(X_54,X_54),X_76),ld(X_54,X_54)) != ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54)))
    | ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))) = ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))),ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54)))) ),[0],$fot(mult(ld(ld(X_54,X_54),X_76),ld(X_54,X_54)))]]) ).

cnf(refute_0_187,plain,
    ( ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))) != mult(ld(ld(X_54,X_54),X_76),ld(X_54,X_54))
    | ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))) = ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54))) ),
    inference(resolve,[$cnf( $equal(mult(ld(ld(X_54,X_54),X_76),ld(X_54,X_54)),ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54)))) )],[refute_0_185,refute_0_186]) ).

cnf(refute_0_188,plain,
    ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))) = ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54))),
    inference(resolve,[$cnf( $equal(ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))),mult(ld(ld(X_54,X_54),X_76),ld(X_54,X_54))) )],[refute_0_178,refute_0_187]) ).

cnf(refute_0_189,plain,
    ld(X_54,mult(X_54,mult(ld(X_54,X_54),X_76))) = mult(ld(X_54,X_54),X_76),
    inference(subst,[],[f02:[bind(A,$fot(X_54)),bind(B,$fot(mult(ld(X_54,X_54),X_76)))]]) ).

cnf(refute_0_190,plain,
    ( X_149 != mult(X_149,ld(A,A))
    | mult(X_149,ld(A,A)) = X_149 ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(X_149)),bind(Y,$fot(mult(X_149,ld(A,A))))]]) ).

cnf(refute_0_191,plain,
    mult(X_149,ld(A,A)) = X_149,
    inference(resolve,[$cnf( $equal(X_149,mult(X_149,ld(A,A))) )],[refute_0_168,refute_0_190]) ).

cnf(refute_0_192,plain,
    mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54)) = mult(X_54,mult(ld(X_54,X_54),X_76)),
    inference(subst,[],[refute_0_191:[bind(A,$fot(X_54)),bind(X_149,$fot(mult(X_54,mult(ld(X_54,X_54),X_76))))]]) ).

cnf(refute_0_193,plain,
    ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54))) = ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54))),
    introduced(tautology,[refl,[$fot(ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54))))]]) ).

cnf(refute_0_194,plain,
    ( ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54))) != ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54)))
    | mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54)) != mult(X_54,mult(ld(X_54,X_54),X_76))
    | ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54))) = ld(X_54,mult(X_54,mult(ld(X_54,X_54),X_76))) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54))),ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54)))) ),[1,1],$fot(mult(X_54,mult(ld(X_54,X_54),X_76)))]]) ).

cnf(refute_0_195,plain,
    ( mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54)) != mult(X_54,mult(ld(X_54,X_54),X_76))
    | ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54))) = ld(X_54,mult(X_54,mult(ld(X_54,X_54),X_76))) ),
    inference(resolve,[$cnf( $equal(ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54))),ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54)))) )],[refute_0_193,refute_0_194]) ).

cnf(refute_0_196,plain,
    ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54))) = ld(X_54,mult(X_54,mult(ld(X_54,X_54),X_76))),
    inference(resolve,[$cnf( $equal(mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54)),mult(X_54,mult(ld(X_54,X_54),X_76))) )],[refute_0_192,refute_0_195]) ).

cnf(refute_0_197,plain,
    ( ld(X_54,mult(X_54,mult(ld(X_54,X_54),X_76))) != mult(ld(X_54,X_54),X_76)
    | ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54))) != ld(X_54,mult(X_54,mult(ld(X_54,X_54),X_76)))
    | ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54))) = mult(ld(X_54,X_54),X_76) ),
    inference(subst,[],[refute_0_78:[bind(X,$fot(ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54))))),bind(Y,$fot(ld(X_54,mult(X_54,mult(ld(X_54,X_54),X_76))))),bind(Z,$fot(mult(ld(X_54,X_54),X_76)))]]) ).

cnf(refute_0_198,plain,
    ( ld(X_54,mult(X_54,mult(ld(X_54,X_54),X_76))) != mult(ld(X_54,X_54),X_76)
    | ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54))) = mult(ld(X_54,X_54),X_76) ),
    inference(resolve,[$cnf( $equal(ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54))),ld(X_54,mult(X_54,mult(ld(X_54,X_54),X_76)))) )],[refute_0_196,refute_0_197]) ).

cnf(refute_0_199,plain,
    ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54))) = mult(ld(X_54,X_54),X_76),
    inference(resolve,[$cnf( $equal(ld(X_54,mult(X_54,mult(ld(X_54,X_54),X_76))),mult(ld(X_54,X_54),X_76)) )],[refute_0_189,refute_0_198]) ).

cnf(refute_0_200,plain,
    ld(mult(ld(X_76,X_76),X_78),mult(mult(ld(X_76,X_76),X_76),X_78)) = mult(ld(X_78,X_76),X_78),
    inference(subst,[],[refute_0_136:[bind(X_22,$fot(X_76)),bind(X_23,$fot(ld(X_76,X_76))),bind(X_24,$fot(X_78))]]) ).

cnf(refute_0_201,plain,
    mult(ld(X_76,X_76),X_76) = X_76,
    inference(subst,[],[refute_0_57:[bind(B,$fot(X_76))]]) ).

cnf(refute_0_202,plain,
    ( ld(mult(ld(X_76,X_76),X_78),mult(mult(ld(X_76,X_76),X_76),X_78)) != mult(ld(X_78,X_76),X_78)
    | mult(ld(X_76,X_76),X_76) != X_76
    | ld(mult(ld(X_76,X_76),X_78),mult(X_76,X_78)) = mult(ld(X_78,X_76),X_78) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(ld(X_76,X_76),X_78),mult(mult(ld(X_76,X_76),X_76),X_78)),mult(ld(X_78,X_76),X_78)) ),[0,1,0],$fot(X_76)]]) ).

cnf(refute_0_203,plain,
    ( ld(mult(ld(X_76,X_76),X_78),mult(mult(ld(X_76,X_76),X_76),X_78)) != mult(ld(X_78,X_76),X_78)
    | ld(mult(ld(X_76,X_76),X_78),mult(X_76,X_78)) = mult(ld(X_78,X_76),X_78) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_76,X_76),X_76),X_76) )],[refute_0_201,refute_0_202]) ).

cnf(refute_0_204,plain,
    ld(mult(ld(X_76,X_76),X_78),mult(X_76,X_78)) = mult(ld(X_78,X_76),X_78),
    inference(resolve,[$cnf( $equal(ld(mult(ld(X_76,X_76),X_78),mult(mult(ld(X_76,X_76),X_76),X_78)),mult(ld(X_78,X_76),X_78)) )],[refute_0_200,refute_0_203]) ).

cnf(refute_0_205,plain,
    ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,ld(X_80,X_80)),X_80)) = mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80),
    inference(subst,[],[refute_0_204:[bind(X_76,$fot(mult(X_13,ld(X_80,X_80)))),bind(X_78,$fot(X_80))]]) ).

cnf(refute_0_206,plain,
    mult(mult(X_13,mult(rd(A,X_15),X_15)),rd(A,X_15)) = mult(mult(X_13,rd(A,X_15)),mult(X_15,rd(A,X_15))),
    inference(subst,[],[f05:[bind(A,$fot(X_13)),bind(B,$fot(rd(A,X_15))),bind(C,$fot(X_15))]]) ).

cnf(refute_0_207,plain,
    mult(rd(A,X_15),X_15) = A,
    inference(subst,[],[f03:[bind(B,$fot(X_15))]]) ).

cnf(refute_0_208,plain,
    ( mult(mult(X_13,mult(rd(A,X_15),X_15)),rd(A,X_15)) != mult(mult(X_13,rd(A,X_15)),mult(X_15,rd(A,X_15)))
    | mult(rd(A,X_15),X_15) != A
    | mult(mult(X_13,A),rd(A,X_15)) = mult(mult(X_13,rd(A,X_15)),mult(X_15,rd(A,X_15))) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_13,mult(rd(A,X_15),X_15)),rd(A,X_15)),mult(mult(X_13,rd(A,X_15)),mult(X_15,rd(A,X_15)))) ),[0,0,1],$fot(A)]]) ).

cnf(refute_0_209,plain,
    ( mult(mult(X_13,mult(rd(A,X_15),X_15)),rd(A,X_15)) != mult(mult(X_13,rd(A,X_15)),mult(X_15,rd(A,X_15)))
    | mult(mult(X_13,A),rd(A,X_15)) = mult(mult(X_13,rd(A,X_15)),mult(X_15,rd(A,X_15))) ),
    inference(resolve,[$cnf( $equal(mult(rd(A,X_15),X_15),A) )],[refute_0_207,refute_0_208]) ).

cnf(refute_0_210,plain,
    mult(mult(X_13,A),rd(A,X_15)) = mult(mult(X_13,rd(A,X_15)),mult(X_15,rd(A,X_15))),
    inference(resolve,[$cnf( $equal(mult(mult(X_13,mult(rd(A,X_15),X_15)),rd(A,X_15)),mult(mult(X_13,rd(A,X_15)),mult(X_15,rd(A,X_15)))) )],[refute_0_206,refute_0_209]) ).

cnf(refute_0_211,plain,
    mult(mult(X_13,A),rd(A,A)) = mult(mult(X_13,rd(A,A)),mult(A,rd(A,A))),
    inference(subst,[],[refute_0_210:[bind(X_15,$fot(A))]]) ).

cnf(refute_0_212,plain,
    mult(mult(X_13,rd(A,A)),mult(A,rd(A,A))) = mult(mult(X_13,rd(A,A)),A),
    inference(subst,[],[refute_0_34:[bind(B,$fot(A)),bind(X_30,$fot(mult(X_13,rd(A,A))))]]) ).

cnf(refute_0_213,plain,
    ( mult(mult(X_13,A),rd(A,A)) != mult(mult(X_13,rd(A,A)),mult(A,rd(A,A)))
    | mult(mult(X_13,rd(A,A)),mult(A,rd(A,A))) != mult(mult(X_13,rd(A,A)),A)
    | mult(mult(X_13,A),rd(A,A)) = mult(mult(X_13,rd(A,A)),A) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(X_13,A),rd(A,A)),mult(mult(X_13,rd(A,A)),A)) ),[0],$fot(mult(mult(X_13,rd(A,A)),mult(A,rd(A,A))))]]) ).

cnf(refute_0_214,plain,
    ( mult(mult(X_13,A),rd(A,A)) != mult(mult(X_13,rd(A,A)),mult(A,rd(A,A)))
    | mult(mult(X_13,A),rd(A,A)) = mult(mult(X_13,rd(A,A)),A) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_13,rd(A,A)),mult(A,rd(A,A))),mult(mult(X_13,rd(A,A)),A)) )],[refute_0_212,refute_0_213]) ).

cnf(refute_0_215,plain,
    mult(mult(X_13,A),rd(A,A)) = mult(mult(X_13,rd(A,A)),A),
    inference(resolve,[$cnf( $equal(mult(mult(X_13,A),rd(A,A)),mult(mult(X_13,rd(A,A)),mult(A,rd(A,A)))) )],[refute_0_211,refute_0_214]) ).

cnf(refute_0_216,plain,
    mult(mult(X_13,A),rd(A,A)) = mult(mult(X_13,A),rd(A,A)),
    introduced(tautology,[refl,[$fot(mult(mult(X_13,A),rd(A,A)))]]) ).

cnf(refute_0_217,plain,
    ( mult(mult(X_13,A),rd(A,A)) != mult(mult(X_13,A),rd(A,A))
    | rd(A,A) != ld(A,A)
    | mult(mult(X_13,A),rd(A,A)) = mult(mult(X_13,A),ld(A,A)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_13,A),rd(A,A)),mult(mult(X_13,A),rd(A,A))) ),[1,1],$fot(ld(A,A))]]) ).

cnf(refute_0_218,plain,
    ( rd(A,A) != ld(A,A)
    | mult(mult(X_13,A),rd(A,A)) = mult(mult(X_13,A),ld(A,A)) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_13,A),rd(A,A)),mult(mult(X_13,A),rd(A,A))) )],[refute_0_216,refute_0_217]) ).

cnf(refute_0_219,plain,
    mult(mult(X_13,A),rd(A,A)) = mult(mult(X_13,A),ld(A,A)),
    inference(resolve,[$cnf( $equal(rd(A,A),ld(A,A)) )],[refute_0_94,refute_0_218]) ).

cnf(refute_0_220,plain,
    ( mult(mult(X_13,A),rd(A,A)) != mult(mult(X_13,A),ld(A,A))
    | mult(mult(X_13,A),rd(A,A)) != mult(mult(X_13,rd(A,A)),A)
    | mult(mult(X_13,A),ld(A,A)) = mult(mult(X_13,rd(A,A)),A) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_13,A),rd(A,A)),mult(mult(X_13,rd(A,A)),A)) ),[0],$fot(mult(mult(X_13,A),ld(A,A)))]]) ).

cnf(refute_0_221,plain,
    ( mult(mult(X_13,A),rd(A,A)) != mult(mult(X_13,rd(A,A)),A)
    | mult(mult(X_13,A),ld(A,A)) = mult(mult(X_13,rd(A,A)),A) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_13,A),rd(A,A)),mult(mult(X_13,A),ld(A,A))) )],[refute_0_219,refute_0_220]) ).

cnf(refute_0_222,plain,
    mult(X_13,rd(A,A)) = mult(X_13,rd(A,A)),
    introduced(tautology,[refl,[$fot(mult(X_13,rd(A,A)))]]) ).

cnf(refute_0_223,plain,
    ( mult(X_13,rd(A,A)) != mult(X_13,rd(A,A))
    | rd(A,A) != ld(A,A)
    | mult(X_13,rd(A,A)) = mult(X_13,ld(A,A)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(X_13,rd(A,A)),mult(X_13,rd(A,A))) ),[1,1],$fot(ld(A,A))]]) ).

cnf(refute_0_224,plain,
    ( rd(A,A) != ld(A,A)
    | mult(X_13,rd(A,A)) = mult(X_13,ld(A,A)) ),
    inference(resolve,[$cnf( $equal(mult(X_13,rd(A,A)),mult(X_13,rd(A,A))) )],[refute_0_222,refute_0_223]) ).

cnf(refute_0_225,plain,
    mult(X_13,rd(A,A)) = mult(X_13,ld(A,A)),
    inference(resolve,[$cnf( $equal(rd(A,A),ld(A,A)) )],[refute_0_94,refute_0_224]) ).

cnf(refute_0_226,plain,
    mult(mult(X_13,rd(A,A)),A) = mult(mult(X_13,rd(A,A)),A),
    introduced(tautology,[refl,[$fot(mult(mult(X_13,rd(A,A)),A))]]) ).

cnf(refute_0_227,plain,
    ( mult(X_13,rd(A,A)) != mult(X_13,ld(A,A))
    | mult(mult(X_13,rd(A,A)),A) != mult(mult(X_13,rd(A,A)),A)
    | mult(mult(X_13,rd(A,A)),A) = mult(mult(X_13,ld(A,A)),A) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(X_13,rd(A,A)),A),mult(mult(X_13,rd(A,A)),A)) ),[1,0],$fot(mult(X_13,ld(A,A)))]]) ).

cnf(refute_0_228,plain,
    ( mult(X_13,rd(A,A)) != mult(X_13,ld(A,A))
    | mult(mult(X_13,rd(A,A)),A) = mult(mult(X_13,ld(A,A)),A) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_13,rd(A,A)),A),mult(mult(X_13,rd(A,A)),A)) )],[refute_0_226,refute_0_227]) ).

cnf(refute_0_229,plain,
    mult(mult(X_13,rd(A,A)),A) = mult(mult(X_13,ld(A,A)),A),
    inference(resolve,[$cnf( $equal(mult(X_13,rd(A,A)),mult(X_13,ld(A,A))) )],[refute_0_225,refute_0_228]) ).

cnf(refute_0_230,plain,
    ( mult(mult(X_13,A),ld(A,A)) != mult(mult(X_13,rd(A,A)),A)
    | mult(mult(X_13,rd(A,A)),A) != mult(mult(X_13,ld(A,A)),A)
    | mult(mult(X_13,A),ld(A,A)) = mult(mult(X_13,ld(A,A)),A) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(mult(mult(X_13,A),ld(A,A)),mult(mult(X_13,ld(A,A)),A)) ),[0],$fot(mult(mult(X_13,rd(A,A)),A))]]) ).

cnf(refute_0_231,plain,
    ( mult(mult(X_13,A),ld(A,A)) != mult(mult(X_13,rd(A,A)),A)
    | mult(mult(X_13,A),ld(A,A)) = mult(mult(X_13,ld(A,A)),A) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_13,rd(A,A)),A),mult(mult(X_13,ld(A,A)),A)) )],[refute_0_229,refute_0_230]) ).

cnf(refute_0_232,plain,
    ( mult(mult(X_13,A),rd(A,A)) != mult(mult(X_13,rd(A,A)),A)
    | mult(mult(X_13,A),ld(A,A)) = mult(mult(X_13,ld(A,A)),A) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_13,A),ld(A,A)),mult(mult(X_13,rd(A,A)),A)) )],[refute_0_221,refute_0_231]) ).

cnf(refute_0_233,plain,
    mult(mult(X_13,A),ld(A,A)) = mult(mult(X_13,ld(A,A)),A),
    inference(resolve,[$cnf( $equal(mult(mult(X_13,A),rd(A,A)),mult(mult(X_13,rd(A,A)),A)) )],[refute_0_215,refute_0_232]) ).

cnf(refute_0_234,plain,
    mult(mult(X_13,X_80),ld(X_80,X_80)) = mult(mult(X_13,ld(X_80,X_80)),X_80),
    inference(subst,[],[refute_0_233:[bind(A,$fot(X_80))]]) ).

cnf(refute_0_235,plain,
    ( mult(mult(X_13,X_80),ld(X_80,X_80)) != mult(mult(X_13,ld(X_80,X_80)),X_80)
    | mult(mult(X_13,ld(X_80,X_80)),X_80) = mult(mult(X_13,X_80),ld(X_80,X_80)) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(mult(mult(X_13,X_80),ld(X_80,X_80)))),bind(Y,$fot(mult(mult(X_13,ld(X_80,X_80)),X_80)))]]) ).

cnf(refute_0_236,plain,
    mult(mult(X_13,ld(X_80,X_80)),X_80) = mult(mult(X_13,X_80),ld(X_80,X_80)),
    inference(resolve,[$cnf( $equal(mult(mult(X_13,X_80),ld(X_80,X_80)),mult(mult(X_13,ld(X_80,X_80)),X_80)) )],[refute_0_234,refute_0_235]) ).

cnf(refute_0_237,plain,
    ( ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,ld(X_80,X_80)),X_80)) != mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80)
    | mult(mult(X_13,ld(X_80,X_80)),X_80) != mult(mult(X_13,X_80),ld(X_80,X_80))
    | ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))) = mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,ld(X_80,X_80)),X_80)),mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80)) ),[0,1],$fot(mult(mult(X_13,X_80),ld(X_80,X_80)))]]) ).

cnf(refute_0_238,plain,
    ( ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,ld(X_80,X_80)),X_80)) != mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80)
    | ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))) = mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80) ),
    inference(resolve,[$cnf( $equal(mult(mult(X_13,ld(X_80,X_80)),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))) )],[refute_0_236,refute_0_237]) ).

cnf(refute_0_239,plain,
    ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))) = mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80),
    inference(resolve,[$cnf( $equal(ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,ld(X_80,X_80)),X_80)),mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80)) )],[refute_0_205,refute_0_238]) ).

cnf(refute_0_240,plain,
    mult(mult(X_13,X_80),ld(X_80,X_80)) = mult(X_13,X_80),
    inference(subst,[],[refute_0_191:[bind(A,$fot(X_80)),bind(X_149,$fot(mult(X_13,X_80)))]]) ).

cnf(refute_0_241,plain,
    ld(X_80,mult(mult(X_13,X_80),ld(X_80,X_80))) = ld(X_80,mult(mult(X_13,X_80),ld(X_80,X_80))),
    introduced(tautology,[refl,[$fot(ld(X_80,mult(mult(X_13,X_80),ld(X_80,X_80))))]]) ).

cnf(refute_0_242,plain,
    ( ld(X_80,mult(mult(X_13,X_80),ld(X_80,X_80))) != ld(X_80,mult(mult(X_13,X_80),ld(X_80,X_80)))
    | mult(mult(X_13,X_80),ld(X_80,X_80)) != mult(X_13,X_80)
    | ld(X_80,mult(mult(X_13,X_80),ld(X_80,X_80))) = ld(X_80,mult(X_13,X_80)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(X_80,mult(mult(X_13,X_80),ld(X_80,X_80))),ld(X_80,mult(mult(X_13,X_80),ld(X_80,X_80)))) ),[1,1],$fot(mult(X_13,X_80))]]) ).

cnf(refute_0_243,plain,
    ( mult(mult(X_13,X_80),ld(X_80,X_80)) != mult(X_13,X_80)
    | ld(X_80,mult(mult(X_13,X_80),ld(X_80,X_80))) = ld(X_80,mult(X_13,X_80)) ),
    inference(resolve,[$cnf( $equal(ld(X_80,mult(mult(X_13,X_80),ld(X_80,X_80))),ld(X_80,mult(mult(X_13,X_80),ld(X_80,X_80)))) )],[refute_0_241,refute_0_242]) ).

cnf(refute_0_244,plain,
    ld(X_80,mult(mult(X_13,X_80),ld(X_80,X_80))) = ld(X_80,mult(X_13,X_80)),
    inference(resolve,[$cnf( $equal(mult(mult(X_13,X_80),ld(X_80,X_80)),mult(X_13,X_80)) )],[refute_0_240,refute_0_243]) ).

cnf(refute_0_245,plain,
    mult(ld(X_80,X_80),X_80) = X_80,
    inference(subst,[],[refute_0_57:[bind(B,$fot(X_80))]]) ).

cnf(refute_0_246,plain,
    ( ld(B,B) != ld(ld(B,B),ld(B,B))
    | ld(ld(B,B),ld(B,B)) = ld(B,B) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(ld(B,B))),bind(Y,$fot(ld(ld(B,B),ld(B,B))))]]) ).

cnf(refute_0_247,plain,
    ld(ld(B,B),ld(B,B)) = ld(B,B),
    inference(resolve,[$cnf( $equal(ld(B,B),ld(ld(B,B),ld(B,B))) )],[refute_0_112,refute_0_246]) ).

cnf(refute_0_248,plain,
    ld(ld(X_80,X_80),ld(X_80,X_80)) = ld(X_80,X_80),
    inference(subst,[],[refute_0_247:[bind(B,$fot(X_80))]]) ).

cnf(refute_0_249,plain,
    rd(mult(rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92),mult(X_92,X_93)),mult(X_92,X_93)) = rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92),
    inference(subst,[],[f04:[bind(A,$fot(rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92))),bind(B,$fot(mult(X_92,X_93)))]]) ).

cnf(refute_0_250,plain,
    rd(mult(ld(mult(X_40,X_39),mult(X_40,X_39)),mult(X_40,X_39)),X_39) = mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),
    inference(subst,[],[refute_0_63:[bind(A,$fot(ld(mult(X_40,X_39),mult(X_40,X_39)))),bind(X_16,$fot(X_39)),bind(X_18,$fot(X_40))]]) ).

cnf(refute_0_251,plain,
    mult(ld(mult(X_40,X_39),mult(X_40,X_39)),mult(X_40,X_39)) = mult(X_40,X_39),
    inference(subst,[],[refute_0_57:[bind(B,$fot(mult(X_40,X_39)))]]) ).

cnf(refute_0_252,plain,
    ( mult(ld(mult(X_40,X_39),mult(X_40,X_39)),mult(X_40,X_39)) != mult(X_40,X_39)
    | rd(mult(ld(mult(X_40,X_39),mult(X_40,X_39)),mult(X_40,X_39)),X_39) != mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40))
    | rd(mult(X_40,X_39),X_39) = mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(ld(mult(X_40,X_39),mult(X_40,X_39)),mult(X_40,X_39)),X_39),mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40))) ),[0,0],$fot(mult(X_40,X_39))]]) ).

cnf(refute_0_253,plain,
    ( rd(mult(ld(mult(X_40,X_39),mult(X_40,X_39)),mult(X_40,X_39)),X_39) != mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40))
    | rd(mult(X_40,X_39),X_39) = mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)) ),
    inference(resolve,[$cnf( $equal(mult(ld(mult(X_40,X_39),mult(X_40,X_39)),mult(X_40,X_39)),mult(X_40,X_39)) )],[refute_0_251,refute_0_252]) ).

cnf(refute_0_254,plain,
    rd(mult(X_40,X_39),X_39) = mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),
    inference(resolve,[$cnf( $equal(rd(mult(ld(mult(X_40,X_39),mult(X_40,X_39)),mult(X_40,X_39)),X_39),mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40))) )],[refute_0_250,refute_0_253]) ).

cnf(refute_0_255,plain,
    rd(mult(X_40,X_39),X_39) = X_40,
    inference(subst,[],[f04:[bind(A,$fot(X_40)),bind(B,$fot(X_39))]]) ).

cnf(refute_0_256,plain,
    ( rd(mult(X_40,X_39),X_39) != X_40
    | rd(mult(X_40,X_39),X_39) != mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40))
    | X_40 = mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(X_40,X_39),X_39),mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40))) ),[0],$fot(X_40)]]) ).

cnf(refute_0_257,plain,
    ( rd(mult(X_40,X_39),X_39) != mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40))
    | X_40 = mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)) ),
    inference(resolve,[$cnf( $equal(rd(mult(X_40,X_39),X_39),X_40) )],[refute_0_255,refute_0_256]) ).

cnf(refute_0_258,plain,
    X_40 = mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),
    inference(resolve,[$cnf( $equal(rd(mult(X_40,X_39),X_39),mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40))) )],[refute_0_254,refute_0_257]) ).

cnf(refute_0_259,plain,
    X_93 = mult(rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92),mult(X_92,X_93)),
    inference(subst,[],[refute_0_258:[bind(X_39,$fot(X_92)),bind(X_40,$fot(X_93))]]) ).

cnf(refute_0_260,plain,
    ( X_93 != mult(rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92),mult(X_92,X_93))
    | mult(rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92),mult(X_92,X_93)) = X_93 ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(X_93)),bind(Y,$fot(mult(rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92),mult(X_92,X_93))))]]) ).

cnf(refute_0_261,plain,
    mult(rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92),mult(X_92,X_93)) = X_93,
    inference(resolve,[$cnf( $equal(X_93,mult(rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92),mult(X_92,X_93))) )],[refute_0_259,refute_0_260]) ).

cnf(refute_0_262,plain,
    ( mult(rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92),mult(X_92,X_93)) != X_93
    | rd(mult(rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92),mult(X_92,X_93)),mult(X_92,X_93)) != rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92)
    | rd(X_93,mult(X_92,X_93)) = rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92),mult(X_92,X_93)),mult(X_92,X_93)),rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92)) ),[0,0],$fot(X_93)]]) ).

cnf(refute_0_263,plain,
    ( rd(mult(rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92),mult(X_92,X_93)),mult(X_92,X_93)) != rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92)
    | rd(X_93,mult(X_92,X_93)) = rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92) ),
    inference(resolve,[$cnf( $equal(mult(rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92),mult(X_92,X_93)),X_93) )],[refute_0_261,refute_0_262]) ).

cnf(refute_0_264,plain,
    rd(X_93,mult(X_92,X_93)) = rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92),
    inference(resolve,[$cnf( $equal(rd(mult(rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92),mult(X_92,X_93)),mult(X_92,X_93)),rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92)) )],[refute_0_249,refute_0_263]) ).

cnf(refute_0_265,plain,
    rd(X_93,mult(ld(mult(X_150,X_93),mult(X_150,X_93)),X_93)) = rd(ld(mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93))),mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))),
    inference(subst,[],[refute_0_264:[bind(X_92,$fot(ld(mult(X_150,X_93),mult(X_150,X_93))))]]) ).

cnf(refute_0_266,plain,
    X_93 = mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93))),
    inference(subst,[],[refute_0_152:[bind(X_148,$fot(X_93)),bind(X_54,$fot(X_150))]]) ).

cnf(refute_0_267,plain,
    ( X_93 != mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))
    | mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93))) = X_93 ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(X_93)),bind(Y,$fot(mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))))]]) ).

cnf(refute_0_268,plain,
    mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93))) = X_93,
    inference(resolve,[$cnf( $equal(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))) )],[refute_0_266,refute_0_267]) ).

cnf(refute_0_269,plain,
    ( mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93))) != X_93
    | rd(X_93,mult(ld(mult(X_150,X_93),mult(X_150,X_93)),X_93)) != rd(ld(mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93))),mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93)))
    | rd(X_93,mult(ld(mult(X_150,X_93),mult(X_150,X_93)),X_93)) = rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(X_93,mult(ld(mult(X_150,X_93),mult(X_150,X_93)),X_93)),rd(ld(mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93))),mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93)))) ),[1,0,0],$fot(X_93)]]) ).

cnf(refute_0_270,plain,
    ( rd(X_93,mult(ld(mult(X_150,X_93),mult(X_150,X_93)),X_93)) != rd(ld(mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93))),mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93)))
    | rd(X_93,mult(ld(mult(X_150,X_93),mult(X_150,X_93)),X_93)) = rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))) ),
    inference(resolve,[$cnf( $equal(mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93))),X_93) )],[refute_0_268,refute_0_269]) ).

cnf(refute_0_271,plain,
    rd(X_93,mult(ld(mult(X_150,X_93),mult(X_150,X_93)),X_93)) = rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))),
    inference(resolve,[$cnf( $equal(rd(X_93,mult(ld(mult(X_150,X_93),mult(X_150,X_93)),X_93)),rd(ld(mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93))),mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93)))) )],[refute_0_265,refute_0_270]) ).

cnf(refute_0_272,plain,
    rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39) = mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40))),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39))),
    inference(subst,[],[refute_0_258:[bind(X_39,$fot(mult(X_39,X_40))),bind(X_40,$fot(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39)))]]) ).

cnf(refute_0_273,plain,
    ( X_40 != mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40))
    | mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)) = X_40 ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(X_40)),bind(Y,$fot(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40))))]]) ).

cnf(refute_0_274,plain,
    mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)) = X_40,
    inference(resolve,[$cnf( $equal(X_40,mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40))) )],[refute_0_258,refute_0_273]) ).

cnf(refute_0_275,plain,
    ( mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)) != X_40
    | rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39) != mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40))),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39)))
    | rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39) = mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39))) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40))),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39)))) ),[1,0,0,1],$fot(X_40)]]) ).

cnf(refute_0_276,plain,
    ( rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39) != mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40))),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39)))
    | rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39) = mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39))) ),
    inference(resolve,[$cnf( $equal(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40) )],[refute_0_274,refute_0_275]) ).

cnf(refute_0_277,plain,
    rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39) = mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39))),
    inference(resolve,[$cnf( $equal(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40))),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39)))) )],[refute_0_272,refute_0_276]) ).

cnf(refute_0_278,plain,
    ( rd(X_93,mult(X_92,X_93)) != rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92)
    | rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92) = rd(X_93,mult(X_92,X_93)) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(rd(X_93,mult(X_92,X_93)))),bind(Y,$fot(rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92)))]]) ).

cnf(refute_0_279,plain,
    rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92) = rd(X_93,mult(X_92,X_93)),
    inference(resolve,[$cnf( $equal(rd(X_93,mult(X_92,X_93)),rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92)) )],[refute_0_264,refute_0_278]) ).

cnf(refute_0_280,plain,
    rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39) = rd(X_40,mult(X_39,X_40)),
    inference(subst,[],[refute_0_279:[bind(X_92,$fot(X_39)),bind(X_93,$fot(X_40))]]) ).

cnf(refute_0_281,plain,
    ( rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39) != mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39)))
    | rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39) != rd(X_40,mult(X_39,X_40))
    | rd(X_40,mult(X_39,X_40)) = mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39))) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39)))) ),[0],$fot(rd(X_40,mult(X_39,X_40)))]]) ).

cnf(refute_0_282,plain,
    ( rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39) != mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39)))
    | rd(X_40,mult(X_39,X_40)) = mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39))) ),
    inference(resolve,[$cnf( $equal(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),rd(X_40,mult(X_39,X_40))) )],[refute_0_280,refute_0_281]) ).

cnf(refute_0_283,plain,
    ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40) = ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),
    introduced(tautology,[refl,[$fot(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40))]]) ).

cnf(refute_0_284,plain,
    ( ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40) != ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40)
    | mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)) != X_40
    | ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40) = ld(X_40,X_40) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40)) ),[1,0],$fot(X_40)]]) ).

cnf(refute_0_285,plain,
    ( mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)) != X_40
    | ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40) = ld(X_40,X_40) ),
    inference(resolve,[$cnf( $equal(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40)) )],[refute_0_283,refute_0_284]) ).

cnf(refute_0_286,plain,
    ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40) = ld(X_40,X_40),
    inference(resolve,[$cnf( $equal(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40) )],[refute_0_274,refute_0_285]) ).

cnf(refute_0_287,plain,
    rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)) = rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)),
    introduced(tautology,[refl,[$fot(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)))]]) ).

cnf(refute_0_288,plain,
    ( ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40) != ld(X_40,X_40)
    | rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)) != rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39))
    | rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)) = rd(ld(X_40,X_40),mult(X_40,X_39)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)),rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39))) ),[1,0],$fot(ld(X_40,X_40))]]) ).

cnf(refute_0_289,plain,
    ( ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40) != ld(X_40,X_40)
    | rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)) = rd(ld(X_40,X_40),mult(X_40,X_39)) ),
    inference(resolve,[$cnf( $equal(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)),rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39))) )],[refute_0_287,refute_0_288]) ).

cnf(refute_0_290,plain,
    rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)) = rd(ld(X_40,X_40),mult(X_40,X_39)),
    inference(resolve,[$cnf( $equal(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),ld(X_40,X_40)) )],[refute_0_286,refute_0_289]) ).

cnf(refute_0_291,plain,
    mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)),X_40) = mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)),X_40),
    introduced(tautology,[refl,[$fot(mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)),X_40))]]) ).

cnf(refute_0_292,plain,
    ( mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)),X_40) != mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)),X_40)
    | rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)) != rd(ld(X_40,X_40),mult(X_40,X_39))
    | mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)),X_40) = mult(rd(ld(X_40,X_40),mult(X_40,X_39)),X_40) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)),X_40),mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)),X_40)) ),[1,0],$fot(rd(ld(X_40,X_40),mult(X_40,X_39)))]]) ).

cnf(refute_0_293,plain,
    ( rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)) != rd(ld(X_40,X_40),mult(X_40,X_39))
    | mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)),X_40) = mult(rd(ld(X_40,X_40),mult(X_40,X_39)),X_40) ),
    inference(resolve,[$cnf( $equal(mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)),X_40),mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)),X_40)) )],[refute_0_291,refute_0_292]) ).

cnf(refute_0_294,plain,
    mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)),X_40) = mult(rd(ld(X_40,X_40),mult(X_40,X_39)),X_40),
    inference(resolve,[$cnf( $equal(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)),rd(ld(X_40,X_40),mult(X_40,X_39))) )],[refute_0_290,refute_0_293]) ).

cnf(refute_0_295,plain,
    rd(mult(A,mult(rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92),mult(X_92,X_93))),mult(X_92,X_93)) = mult(rd(A,mult(X_92,X_93)),mult(mult(X_92,X_93),rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92))),
    inference(subst,[],[refute_0_63:[bind(X_16,$fot(mult(X_92,X_93))),bind(X_18,$fot(rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92)))]]) ).

cnf(refute_0_296,plain,
    ( mult(rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92),mult(X_92,X_93)) != X_93
    | rd(mult(A,mult(rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92),mult(X_92,X_93))),mult(X_92,X_93)) != mult(rd(A,mult(X_92,X_93)),mult(mult(X_92,X_93),rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92)))
    | rd(mult(A,X_93),mult(X_92,X_93)) = mult(rd(A,mult(X_92,X_93)),mult(mult(X_92,X_93),rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92))) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(A,mult(rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92),mult(X_92,X_93))),mult(X_92,X_93)),mult(rd(A,mult(X_92,X_93)),mult(mult(X_92,X_93),rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92)))) ),[0,0,1],$fot(X_93)]]) ).

cnf(refute_0_297,plain,
    ( rd(mult(A,mult(rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92),mult(X_92,X_93))),mult(X_92,X_93)) != mult(rd(A,mult(X_92,X_93)),mult(mult(X_92,X_93),rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92)))
    | rd(mult(A,X_93),mult(X_92,X_93)) = mult(rd(A,mult(X_92,X_93)),mult(mult(X_92,X_93),rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92))) ),
    inference(resolve,[$cnf( $equal(mult(rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92),mult(X_92,X_93)),X_93) )],[refute_0_261,refute_0_296]) ).

cnf(refute_0_298,plain,
    rd(mult(A,X_93),mult(X_92,X_93)) = mult(rd(A,mult(X_92,X_93)),mult(mult(X_92,X_93),rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92))),
    inference(resolve,[$cnf( $equal(rd(mult(A,mult(rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92),mult(X_92,X_93))),mult(X_92,X_93)),mult(rd(A,mult(X_92,X_93)),mult(mult(X_92,X_93),rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92)))) )],[refute_0_295,refute_0_297]) ).

cnf(refute_0_299,plain,
    rd(mult(mult(rd(X_44,mult(X_45,X_46)),X_45),mult(X_46,X_45)),mult(X_46,X_45)) = mult(rd(X_44,mult(X_45,X_46)),X_45),
    inference(subst,[],[f04:[bind(A,$fot(mult(rd(X_44,mult(X_45,X_46)),X_45))),bind(B,$fot(mult(X_46,X_45)))]]) ).

cnf(refute_0_300,plain,
    mult(mult(rd(A,mult(X_14,X_15)),mult(X_14,X_15)),X_14) = mult(mult(rd(A,mult(X_14,X_15)),X_14),mult(X_15,X_14)),
    inference(subst,[],[f05:[bind(A,$fot(rd(A,mult(X_14,X_15)))),bind(B,$fot(X_14)),bind(C,$fot(X_15))]]) ).

cnf(refute_0_301,plain,
    mult(rd(A,mult(X_14,X_15)),mult(X_14,X_15)) = A,
    inference(subst,[],[f03:[bind(B,$fot(mult(X_14,X_15)))]]) ).

cnf(refute_0_302,plain,
    ( mult(mult(rd(A,mult(X_14,X_15)),mult(X_14,X_15)),X_14) != mult(mult(rd(A,mult(X_14,X_15)),X_14),mult(X_15,X_14))
    | mult(rd(A,mult(X_14,X_15)),mult(X_14,X_15)) != A
    | mult(A,X_14) = mult(mult(rd(A,mult(X_14,X_15)),X_14),mult(X_15,X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(mult(rd(A,mult(X_14,X_15)),mult(X_14,X_15)),X_14),mult(mult(rd(A,mult(X_14,X_15)),X_14),mult(X_15,X_14))) ),[0,0],$fot(A)]]) ).

cnf(refute_0_303,plain,
    ( mult(mult(rd(A,mult(X_14,X_15)),mult(X_14,X_15)),X_14) != mult(mult(rd(A,mult(X_14,X_15)),X_14),mult(X_15,X_14))
    | mult(A,X_14) = mult(mult(rd(A,mult(X_14,X_15)),X_14),mult(X_15,X_14)) ),
    inference(resolve,[$cnf( $equal(mult(rd(A,mult(X_14,X_15)),mult(X_14,X_15)),A) )],[refute_0_301,refute_0_302]) ).

cnf(refute_0_304,plain,
    mult(A,X_14) = mult(mult(rd(A,mult(X_14,X_15)),X_14),mult(X_15,X_14)),
    inference(resolve,[$cnf( $equal(mult(mult(rd(A,mult(X_14,X_15)),mult(X_14,X_15)),X_14),mult(mult(rd(A,mult(X_14,X_15)),X_14),mult(X_15,X_14))) )],[refute_0_300,refute_0_303]) ).

cnf(refute_0_305,plain,
    mult(X_44,X_45) = mult(mult(rd(X_44,mult(X_45,X_46)),X_45),mult(X_46,X_45)),
    inference(subst,[],[refute_0_304:[bind(A,$fot(X_44)),bind(X_14,$fot(X_45)),bind(X_15,$fot(X_46))]]) ).

cnf(refute_0_306,plain,
    ( mult(X_44,X_45) != mult(mult(rd(X_44,mult(X_45,X_46)),X_45),mult(X_46,X_45))
    | mult(mult(rd(X_44,mult(X_45,X_46)),X_45),mult(X_46,X_45)) = mult(X_44,X_45) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(mult(X_44,X_45))),bind(Y,$fot(mult(mult(rd(X_44,mult(X_45,X_46)),X_45),mult(X_46,X_45))))]]) ).

cnf(refute_0_307,plain,
    mult(mult(rd(X_44,mult(X_45,X_46)),X_45),mult(X_46,X_45)) = mult(X_44,X_45),
    inference(resolve,[$cnf( $equal(mult(X_44,X_45),mult(mult(rd(X_44,mult(X_45,X_46)),X_45),mult(X_46,X_45))) )],[refute_0_305,refute_0_306]) ).

cnf(refute_0_308,plain,
    ( mult(mult(rd(X_44,mult(X_45,X_46)),X_45),mult(X_46,X_45)) != mult(X_44,X_45)
    | rd(mult(mult(rd(X_44,mult(X_45,X_46)),X_45),mult(X_46,X_45)),mult(X_46,X_45)) != mult(rd(X_44,mult(X_45,X_46)),X_45)
    | rd(mult(X_44,X_45),mult(X_46,X_45)) = mult(rd(X_44,mult(X_45,X_46)),X_45) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(mult(rd(X_44,mult(X_45,X_46)),X_45),mult(X_46,X_45)),mult(X_46,X_45)),mult(rd(X_44,mult(X_45,X_46)),X_45)) ),[0,0],$fot(mult(X_44,X_45))]]) ).

cnf(refute_0_309,plain,
    ( rd(mult(mult(rd(X_44,mult(X_45,X_46)),X_45),mult(X_46,X_45)),mult(X_46,X_45)) != mult(rd(X_44,mult(X_45,X_46)),X_45)
    | rd(mult(X_44,X_45),mult(X_46,X_45)) = mult(rd(X_44,mult(X_45,X_46)),X_45) ),
    inference(resolve,[$cnf( $equal(mult(mult(rd(X_44,mult(X_45,X_46)),X_45),mult(X_46,X_45)),mult(X_44,X_45)) )],[refute_0_307,refute_0_308]) ).

cnf(refute_0_310,plain,
    rd(mult(X_44,X_45),mult(X_46,X_45)) = mult(rd(X_44,mult(X_45,X_46)),X_45),
    inference(resolve,[$cnf( $equal(rd(mult(mult(rd(X_44,mult(X_45,X_46)),X_45),mult(X_46,X_45)),mult(X_46,X_45)),mult(rd(X_44,mult(X_45,X_46)),X_45)) )],[refute_0_299,refute_0_309]) ).

cnf(refute_0_311,plain,
    rd(mult(A,X_93),mult(X_92,X_93)) = mult(rd(A,mult(X_93,X_92)),X_93),
    inference(subst,[],[refute_0_310:[bind(X_44,$fot(A)),bind(X_45,$fot(X_93)),bind(X_46,$fot(X_92))]]) ).

cnf(refute_0_312,plain,
    ( rd(mult(A,X_93),mult(X_92,X_93)) != mult(rd(A,mult(X_92,X_93)),mult(mult(X_92,X_93),rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92)))
    | rd(mult(A,X_93),mult(X_92,X_93)) != mult(rd(A,mult(X_93,X_92)),X_93)
    | mult(rd(A,mult(X_93,X_92)),X_93) = mult(rd(A,mult(X_92,X_93)),mult(mult(X_92,X_93),rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92))) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(mult(A,X_93),mult(X_92,X_93)),mult(rd(A,mult(X_92,X_93)),mult(mult(X_92,X_93),rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92)))) ),[0],$fot(mult(rd(A,mult(X_93,X_92)),X_93))]]) ).

cnf(refute_0_313,plain,
    ( rd(mult(A,X_93),mult(X_92,X_93)) != mult(rd(A,mult(X_92,X_93)),mult(mult(X_92,X_93),rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92)))
    | mult(rd(A,mult(X_93,X_92)),X_93) = mult(rd(A,mult(X_92,X_93)),mult(mult(X_92,X_93),rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92))) ),
    inference(resolve,[$cnf( $equal(rd(mult(A,X_93),mult(X_92,X_93)),mult(rd(A,mult(X_93,X_92)),X_93)) )],[refute_0_311,refute_0_312]) ).

cnf(refute_0_314,plain,
    mult(rd(A,mult(X_93,X_92)),X_93) = mult(rd(A,mult(X_92,X_93)),mult(mult(X_92,X_93),rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92))),
    inference(resolve,[$cnf( $equal(rd(mult(A,X_93),mult(X_92,X_93)),mult(rd(A,mult(X_92,X_93)),mult(mult(X_92,X_93),rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92)))) )],[refute_0_298,refute_0_313]) ).

cnf(refute_0_315,plain,
    ( mult(rd(A,mult(X_93,X_92)),X_93) != mult(rd(A,mult(X_92,X_93)),mult(mult(X_92,X_93),rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92)))
    | mult(rd(A,mult(X_92,X_93)),mult(mult(X_92,X_93),rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92))) = mult(rd(A,mult(X_93,X_92)),X_93) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(mult(rd(A,mult(X_93,X_92)),X_93))),bind(Y,$fot(mult(rd(A,mult(X_92,X_93)),mult(mult(X_92,X_93),rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92)))))]]) ).

cnf(refute_0_316,plain,
    mult(rd(A,mult(X_92,X_93)),mult(mult(X_92,X_93),rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92))) = mult(rd(A,mult(X_93,X_92)),X_93),
    inference(resolve,[$cnf( $equal(mult(rd(A,mult(X_93,X_92)),X_93),mult(rd(A,mult(X_92,X_93)),mult(mult(X_92,X_93),rd(ld(mult(X_93,X_92),mult(X_93,X_92)),X_92)))) )],[refute_0_314,refute_0_315]) ).

cnf(refute_0_317,plain,
    mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39))) = mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)),X_40),
    inference(subst,[],[refute_0_316:[bind(A,$fot(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40))),bind(X_92,$fot(X_39)),bind(X_93,$fot(X_40))]]) ).

cnf(refute_0_318,plain,
    ( mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39))) != mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)),X_40)
    | mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)),X_40) != mult(rd(ld(X_40,X_40),mult(X_40,X_39)),X_40)
    | mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39))) = mult(rd(ld(X_40,X_40),mult(X_40,X_39)),X_40) ),
    inference(subst,[],[refute_0_78:[bind(X,$fot(mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39))))),bind(Y,$fot(mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)),X_40))),bind(Z,$fot(mult(rd(ld(X_40,X_40),mult(X_40,X_39)),X_40)))]]) ).

cnf(refute_0_319,plain,
    ( mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)),X_40) != mult(rd(ld(X_40,X_40),mult(X_40,X_39)),X_40)
    | mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39))) = mult(rd(ld(X_40,X_40),mult(X_40,X_39)),X_40) ),
    inference(resolve,[$cnf( $equal(mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39))),mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)),X_40)) )],[refute_0_317,refute_0_318]) ).

cnf(refute_0_320,plain,
    mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39))) = mult(rd(ld(X_40,X_40),mult(X_40,X_39)),X_40),
    inference(resolve,[$cnf( $equal(mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_40,X_39)),X_40),mult(rd(ld(X_40,X_40),mult(X_40,X_39)),X_40)) )],[refute_0_294,refute_0_319]) ).

cnf(refute_0_321,plain,
    ( mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39))) != mult(rd(ld(X_40,X_40),mult(X_40,X_39)),X_40)
    | rd(X_40,mult(X_39,X_40)) != mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39)))
    | rd(X_40,mult(X_39,X_40)) = mult(rd(ld(X_40,X_40),mult(X_40,X_39)),X_40) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(X_40,mult(X_39,X_40)),mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39)))) ),[1],$fot(mult(rd(ld(X_40,X_40),mult(X_40,X_39)),X_40))]]) ).

cnf(refute_0_322,plain,
    ( rd(X_40,mult(X_39,X_40)) != mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39)))
    | rd(X_40,mult(X_39,X_40)) = mult(rd(ld(X_40,X_40),mult(X_40,X_39)),X_40) ),
    inference(resolve,[$cnf( $equal(mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39))),mult(rd(ld(X_40,X_40),mult(X_40,X_39)),X_40)) )],[refute_0_320,refute_0_321]) ).

cnf(refute_0_323,plain,
    ( rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39) != mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39)))
    | rd(X_40,mult(X_39,X_40)) = mult(rd(ld(X_40,X_40),mult(X_40,X_39)),X_40) ),
    inference(resolve,[$cnf( $equal(rd(X_40,mult(X_39,X_40)),mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39)))) )],[refute_0_282,refute_0_322]) ).

cnf(refute_0_324,plain,
    rd(X_40,mult(X_39,X_40)) = mult(rd(ld(X_40,X_40),mult(X_40,X_39)),X_40),
    inference(resolve,[$cnf( $equal(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(rd(ld(mult(rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39),mult(X_39,X_40)),X_40),mult(X_39,X_40)),mult(mult(X_39,X_40),rd(ld(mult(X_40,X_39),mult(X_40,X_39)),X_39)))) )],[refute_0_277,refute_0_323]) ).

cnf(refute_0_325,plain,
    rd(X_40,mult(ld(mult(X_150,X_40),mult(X_150,X_40)),X_40)) = mult(rd(ld(X_40,X_40),mult(X_40,ld(mult(X_150,X_40),mult(X_150,X_40)))),X_40),
    inference(subst,[],[refute_0_324:[bind(X_39,$fot(ld(mult(X_150,X_40),mult(X_150,X_40))))]]) ).

cnf(refute_0_326,plain,
    X_40 = mult(X_40,ld(mult(X_150,X_40),mult(X_150,X_40))),
    inference(subst,[],[refute_0_152:[bind(X_148,$fot(X_40)),bind(X_54,$fot(X_150))]]) ).

cnf(refute_0_327,plain,
    ( X_40 != mult(X_40,ld(mult(X_150,X_40),mult(X_150,X_40)))
    | mult(X_40,ld(mult(X_150,X_40),mult(X_150,X_40))) = X_40 ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(X_40)),bind(Y,$fot(mult(X_40,ld(mult(X_150,X_40),mult(X_150,X_40)))))]]) ).

cnf(refute_0_328,plain,
    mult(X_40,ld(mult(X_150,X_40),mult(X_150,X_40))) = X_40,
    inference(resolve,[$cnf( $equal(X_40,mult(X_40,ld(mult(X_150,X_40),mult(X_150,X_40)))) )],[refute_0_326,refute_0_327]) ).

cnf(refute_0_329,plain,
    ( mult(X_40,ld(mult(X_150,X_40),mult(X_150,X_40))) != X_40
    | rd(X_40,mult(ld(mult(X_150,X_40),mult(X_150,X_40)),X_40)) != mult(rd(ld(X_40,X_40),mult(X_40,ld(mult(X_150,X_40),mult(X_150,X_40)))),X_40)
    | rd(X_40,mult(ld(mult(X_150,X_40),mult(X_150,X_40)),X_40)) = mult(rd(ld(X_40,X_40),X_40),X_40) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(X_40,mult(ld(mult(X_150,X_40),mult(X_150,X_40)),X_40)),mult(rd(ld(X_40,X_40),mult(X_40,ld(mult(X_150,X_40),mult(X_150,X_40)))),X_40)) ),[1,0,1],$fot(X_40)]]) ).

cnf(refute_0_330,plain,
    ( rd(X_40,mult(ld(mult(X_150,X_40),mult(X_150,X_40)),X_40)) != mult(rd(ld(X_40,X_40),mult(X_40,ld(mult(X_150,X_40),mult(X_150,X_40)))),X_40)
    | rd(X_40,mult(ld(mult(X_150,X_40),mult(X_150,X_40)),X_40)) = mult(rd(ld(X_40,X_40),X_40),X_40) ),
    inference(resolve,[$cnf( $equal(mult(X_40,ld(mult(X_150,X_40),mult(X_150,X_40))),X_40) )],[refute_0_328,refute_0_329]) ).

cnf(refute_0_331,plain,
    rd(X_40,mult(ld(mult(X_150,X_40),mult(X_150,X_40)),X_40)) = mult(rd(ld(X_40,X_40),X_40),X_40),
    inference(resolve,[$cnf( $equal(rd(X_40,mult(ld(mult(X_150,X_40),mult(X_150,X_40)),X_40)),mult(rd(ld(X_40,X_40),mult(X_40,ld(mult(X_150,X_40),mult(X_150,X_40)))),X_40)) )],[refute_0_325,refute_0_330]) ).

cnf(refute_0_332,plain,
    mult(rd(ld(X_40,X_40),X_40),X_40) = ld(X_40,X_40),
    inference(subst,[],[f03:[bind(A,$fot(ld(X_40,X_40))),bind(B,$fot(X_40))]]) ).

cnf(refute_0_333,plain,
    ( mult(rd(ld(X_40,X_40),X_40),X_40) != ld(X_40,X_40)
    | rd(X_40,mult(ld(mult(X_150,X_40),mult(X_150,X_40)),X_40)) != mult(rd(ld(X_40,X_40),X_40),X_40)
    | rd(X_40,mult(ld(mult(X_150,X_40),mult(X_150,X_40)),X_40)) = ld(X_40,X_40) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(X_40,mult(ld(mult(X_150,X_40),mult(X_150,X_40)),X_40)),mult(rd(ld(X_40,X_40),X_40),X_40)) ),[1],$fot(ld(X_40,X_40))]]) ).

cnf(refute_0_334,plain,
    ( rd(X_40,mult(ld(mult(X_150,X_40),mult(X_150,X_40)),X_40)) != mult(rd(ld(X_40,X_40),X_40),X_40)
    | rd(X_40,mult(ld(mult(X_150,X_40),mult(X_150,X_40)),X_40)) = ld(X_40,X_40) ),
    inference(resolve,[$cnf( $equal(mult(rd(ld(X_40,X_40),X_40),X_40),ld(X_40,X_40)) )],[refute_0_332,refute_0_333]) ).

cnf(refute_0_335,plain,
    rd(X_40,mult(ld(mult(X_150,X_40),mult(X_150,X_40)),X_40)) = ld(X_40,X_40),
    inference(resolve,[$cnf( $equal(rd(X_40,mult(ld(mult(X_150,X_40),mult(X_150,X_40)),X_40)),mult(rd(ld(X_40,X_40),X_40),X_40)) )],[refute_0_331,refute_0_334]) ).

cnf(refute_0_336,plain,
    rd(X_93,mult(ld(mult(X_150,X_93),mult(X_150,X_93)),X_93)) = ld(X_93,X_93),
    inference(subst,[],[refute_0_335:[bind(X_40,$fot(X_93))]]) ).

cnf(refute_0_337,plain,
    ( rd(X_93,mult(ld(mult(X_150,X_93),mult(X_150,X_93)),X_93)) != ld(X_93,X_93)
    | rd(X_93,mult(ld(mult(X_150,X_93),mult(X_150,X_93)),X_93)) != rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93)))
    | ld(X_93,X_93) = rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(X_93,mult(ld(mult(X_150,X_93),mult(X_150,X_93)),X_93)),rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93)))) ),[0],$fot(ld(X_93,X_93))]]) ).

cnf(refute_0_338,plain,
    ( rd(X_93,mult(ld(mult(X_150,X_93),mult(X_150,X_93)),X_93)) != rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93)))
    | ld(X_93,X_93) = rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))) ),
    inference(resolve,[$cnf( $equal(rd(X_93,mult(ld(mult(X_150,X_93),mult(X_150,X_93)),X_93)),ld(X_93,X_93)) )],[refute_0_336,refute_0_337]) ).

cnf(refute_0_339,plain,
    mult(rd(ld(mult(X_150,X_93),mult(X_150,X_93)),mult(X_150,X_93)),mult(X_150,X_93)) = ld(mult(X_150,X_93),mult(X_150,X_93)),
    inference(subst,[],[f03:[bind(A,$fot(ld(mult(X_150,X_93),mult(X_150,X_93)))),bind(B,$fot(mult(X_150,X_93)))]]) ).

cnf(refute_0_340,plain,
    rd(X_97,mult(ld(X_97,B),X_97)) = rd(ld(mult(X_97,ld(X_97,B)),mult(X_97,ld(X_97,B))),ld(X_97,B)),
    inference(subst,[],[refute_0_264:[bind(X_92,$fot(ld(X_97,B))),bind(X_93,$fot(X_97))]]) ).

cnf(refute_0_341,plain,
    mult(X_97,ld(X_97,B)) = B,
    inference(subst,[],[f01:[bind(A,$fot(X_97))]]) ).

cnf(refute_0_342,plain,
    ( mult(X_97,ld(X_97,B)) != B
    | rd(X_97,mult(ld(X_97,B),X_97)) != rd(ld(mult(X_97,ld(X_97,B)),mult(X_97,ld(X_97,B))),ld(X_97,B))
    | rd(X_97,mult(ld(X_97,B),X_97)) = rd(ld(mult(X_97,ld(X_97,B)),B),ld(X_97,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(X_97,mult(ld(X_97,B),X_97)),rd(ld(mult(X_97,ld(X_97,B)),mult(X_97,ld(X_97,B))),ld(X_97,B))) ),[1,0,1],$fot(B)]]) ).

cnf(refute_0_343,plain,
    ( rd(X_97,mult(ld(X_97,B),X_97)) != rd(ld(mult(X_97,ld(X_97,B)),mult(X_97,ld(X_97,B))),ld(X_97,B))
    | rd(X_97,mult(ld(X_97,B),X_97)) = rd(ld(mult(X_97,ld(X_97,B)),B),ld(X_97,B)) ),
    inference(resolve,[$cnf( $equal(mult(X_97,ld(X_97,B)),B) )],[refute_0_341,refute_0_342]) ).

cnf(refute_0_344,plain,
    rd(X_97,mult(ld(X_97,B),X_97)) = rd(ld(mult(X_97,ld(X_97,B)),B),ld(X_97,B)),
    inference(resolve,[$cnf( $equal(rd(X_97,mult(ld(X_97,B),X_97)),rd(ld(mult(X_97,ld(X_97,B)),mult(X_97,ld(X_97,B))),ld(X_97,B))) )],[refute_0_340,refute_0_343]) ).

cnf(refute_0_345,plain,
    ld(mult(X_97,ld(X_97,B)),B) = ld(mult(X_97,ld(X_97,B)),B),
    introduced(tautology,[refl,[$fot(ld(mult(X_97,ld(X_97,B)),B))]]) ).

cnf(refute_0_346,plain,
    ( ld(mult(X_97,ld(X_97,B)),B) != ld(mult(X_97,ld(X_97,B)),B)
    | mult(X_97,ld(X_97,B)) != B
    | ld(mult(X_97,ld(X_97,B)),B) = ld(B,B) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(X_97,ld(X_97,B)),B),ld(mult(X_97,ld(X_97,B)),B)) ),[1,0],$fot(B)]]) ).

cnf(refute_0_347,plain,
    ( mult(X_97,ld(X_97,B)) != B
    | ld(mult(X_97,ld(X_97,B)),B) = ld(B,B) ),
    inference(resolve,[$cnf( $equal(ld(mult(X_97,ld(X_97,B)),B),ld(mult(X_97,ld(X_97,B)),B)) )],[refute_0_345,refute_0_346]) ).

cnf(refute_0_348,plain,
    ld(mult(X_97,ld(X_97,B)),B) = ld(B,B),
    inference(resolve,[$cnf( $equal(mult(X_97,ld(X_97,B)),B) )],[refute_0_341,refute_0_347]) ).

cnf(refute_0_349,plain,
    rd(ld(mult(X_97,ld(X_97,B)),B),ld(X_97,B)) = rd(ld(mult(X_97,ld(X_97,B)),B),ld(X_97,B)),
    introduced(tautology,[refl,[$fot(rd(ld(mult(X_97,ld(X_97,B)),B),ld(X_97,B)))]]) ).

cnf(refute_0_350,plain,
    ( ld(mult(X_97,ld(X_97,B)),B) != ld(B,B)
    | rd(ld(mult(X_97,ld(X_97,B)),B),ld(X_97,B)) != rd(ld(mult(X_97,ld(X_97,B)),B),ld(X_97,B))
    | rd(ld(mult(X_97,ld(X_97,B)),B),ld(X_97,B)) = rd(ld(B,B),ld(X_97,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(ld(mult(X_97,ld(X_97,B)),B),ld(X_97,B)),rd(ld(mult(X_97,ld(X_97,B)),B),ld(X_97,B))) ),[1,0],$fot(ld(B,B))]]) ).

cnf(refute_0_351,plain,
    ( ld(mult(X_97,ld(X_97,B)),B) != ld(B,B)
    | rd(ld(mult(X_97,ld(X_97,B)),B),ld(X_97,B)) = rd(ld(B,B),ld(X_97,B)) ),
    inference(resolve,[$cnf( $equal(rd(ld(mult(X_97,ld(X_97,B)),B),ld(X_97,B)),rd(ld(mult(X_97,ld(X_97,B)),B),ld(X_97,B))) )],[refute_0_349,refute_0_350]) ).

cnf(refute_0_352,plain,
    rd(ld(mult(X_97,ld(X_97,B)),B),ld(X_97,B)) = rd(ld(B,B),ld(X_97,B)),
    inference(resolve,[$cnf( $equal(ld(mult(X_97,ld(X_97,B)),B),ld(B,B)) )],[refute_0_348,refute_0_351]) ).

cnf(refute_0_353,plain,
    ( rd(X_97,mult(ld(X_97,B),X_97)) != rd(ld(mult(X_97,ld(X_97,B)),B),ld(X_97,B))
    | rd(ld(mult(X_97,ld(X_97,B)),B),ld(X_97,B)) != rd(ld(B,B),ld(X_97,B))
    | rd(X_97,mult(ld(X_97,B),X_97)) = rd(ld(B,B),ld(X_97,B)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(rd(X_97,mult(ld(X_97,B),X_97)),rd(ld(B,B),ld(X_97,B))) ),[0],$fot(rd(ld(mult(X_97,ld(X_97,B)),B),ld(X_97,B)))]]) ).

cnf(refute_0_354,plain,
    ( rd(X_97,mult(ld(X_97,B),X_97)) != rd(ld(mult(X_97,ld(X_97,B)),B),ld(X_97,B))
    | rd(X_97,mult(ld(X_97,B),X_97)) = rd(ld(B,B),ld(X_97,B)) ),
    inference(resolve,[$cnf( $equal(rd(ld(mult(X_97,ld(X_97,B)),B),ld(X_97,B)),rd(ld(B,B),ld(X_97,B))) )],[refute_0_352,refute_0_353]) ).

cnf(refute_0_355,plain,
    rd(X_97,mult(ld(X_97,B),X_97)) = rd(ld(B,B),ld(X_97,B)),
    inference(resolve,[$cnf( $equal(rd(X_97,mult(ld(X_97,B),X_97)),rd(ld(mult(X_97,ld(X_97,B)),B),ld(X_97,B))) )],[refute_0_344,refute_0_354]) ).

cnf(refute_0_356,plain,
    rd(X_100,mult(ld(X_100,B),X_100)) = mult(rd(ld(X_100,X_100),mult(X_100,ld(X_100,B))),X_100),
    inference(subst,[],[refute_0_324:[bind(X_39,$fot(ld(X_100,B))),bind(X_40,$fot(X_100))]]) ).

cnf(refute_0_357,plain,
    mult(X_100,ld(X_100,B)) = B,
    inference(subst,[],[f01:[bind(A,$fot(X_100))]]) ).

cnf(refute_0_358,plain,
    ( mult(X_100,ld(X_100,B)) != B
    | rd(X_100,mult(ld(X_100,B),X_100)) != mult(rd(ld(X_100,X_100),mult(X_100,ld(X_100,B))),X_100)
    | rd(X_100,mult(ld(X_100,B),X_100)) = mult(rd(ld(X_100,X_100),B),X_100) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(X_100,mult(ld(X_100,B),X_100)),mult(rd(ld(X_100,X_100),mult(X_100,ld(X_100,B))),X_100)) ),[1,0,1],$fot(B)]]) ).

cnf(refute_0_359,plain,
    ( rd(X_100,mult(ld(X_100,B),X_100)) != mult(rd(ld(X_100,X_100),mult(X_100,ld(X_100,B))),X_100)
    | rd(X_100,mult(ld(X_100,B),X_100)) = mult(rd(ld(X_100,X_100),B),X_100) ),
    inference(resolve,[$cnf( $equal(mult(X_100,ld(X_100,B)),B) )],[refute_0_357,refute_0_358]) ).

cnf(refute_0_360,plain,
    rd(X_100,mult(ld(X_100,B),X_100)) = mult(rd(ld(X_100,X_100),B),X_100),
    inference(resolve,[$cnf( $equal(rd(X_100,mult(ld(X_100,B),X_100)),mult(rd(ld(X_100,X_100),mult(X_100,ld(X_100,B))),X_100)) )],[refute_0_356,refute_0_359]) ).

cnf(refute_0_361,plain,
    rd(X_97,mult(ld(X_97,B),X_97)) = mult(rd(ld(X_97,X_97),B),X_97),
    inference(subst,[],[refute_0_360:[bind(X_100,$fot(X_97))]]) ).

cnf(refute_0_362,plain,
    ( rd(X_97,mult(ld(X_97,B),X_97)) != mult(rd(ld(X_97,X_97),B),X_97)
    | rd(X_97,mult(ld(X_97,B),X_97)) != rd(ld(B,B),ld(X_97,B))
    | mult(rd(ld(X_97,X_97),B),X_97) = rd(ld(B,B),ld(X_97,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(X_97,mult(ld(X_97,B),X_97)),rd(ld(B,B),ld(X_97,B))) ),[0],$fot(mult(rd(ld(X_97,X_97),B),X_97))]]) ).

cnf(refute_0_363,plain,
    ( rd(X_97,mult(ld(X_97,B),X_97)) != rd(ld(B,B),ld(X_97,B))
    | mult(rd(ld(X_97,X_97),B),X_97) = rd(ld(B,B),ld(X_97,B)) ),
    inference(resolve,[$cnf( $equal(rd(X_97,mult(ld(X_97,B),X_97)),mult(rd(ld(X_97,X_97),B),X_97)) )],[refute_0_361,refute_0_362]) ).

cnf(refute_0_364,plain,
    mult(rd(ld(X_97,X_97),B),X_97) = rd(ld(B,B),ld(X_97,B)),
    inference(resolve,[$cnf( $equal(rd(X_97,mult(ld(X_97,B),X_97)),rd(ld(B,B),ld(X_97,B))) )],[refute_0_355,refute_0_363]) ).

cnf(refute_0_365,plain,
    ( mult(rd(ld(X_97,X_97),B),X_97) != rd(ld(B,B),ld(X_97,B))
    | rd(ld(B,B),ld(X_97,B)) = mult(rd(ld(X_97,X_97),B),X_97) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(mult(rd(ld(X_97,X_97),B),X_97))),bind(Y,$fot(rd(ld(B,B),ld(X_97,B))))]]) ).

cnf(refute_0_366,plain,
    rd(ld(B,B),ld(X_97,B)) = mult(rd(ld(X_97,X_97),B),X_97),
    inference(resolve,[$cnf( $equal(mult(rd(ld(X_97,X_97),B),X_97),rd(ld(B,B),ld(X_97,B))) )],[refute_0_364,refute_0_365]) ).

cnf(refute_0_367,plain,
    rd(ld(mult(X_150,X_93),mult(X_150,X_93)),ld(mult(X_150,X_93),mult(X_150,X_93))) = mult(rd(ld(mult(X_150,X_93),mult(X_150,X_93)),mult(X_150,X_93)),mult(X_150,X_93)),
    inference(subst,[],[refute_0_366:[bind(B,$fot(mult(X_150,X_93))),bind(X_97,$fot(mult(X_150,X_93)))]]) ).

cnf(refute_0_368,plain,
    ( mult(rd(ld(mult(X_150,X_93),mult(X_150,X_93)),mult(X_150,X_93)),mult(X_150,X_93)) != ld(mult(X_150,X_93),mult(X_150,X_93))
    | rd(ld(mult(X_150,X_93),mult(X_150,X_93)),ld(mult(X_150,X_93),mult(X_150,X_93))) != mult(rd(ld(mult(X_150,X_93),mult(X_150,X_93)),mult(X_150,X_93)),mult(X_150,X_93))
    | rd(ld(mult(X_150,X_93),mult(X_150,X_93)),ld(mult(X_150,X_93),mult(X_150,X_93))) = ld(mult(X_150,X_93),mult(X_150,X_93)) ),
    inference(subst,[],[refute_0_78:[bind(X,$fot(rd(ld(mult(X_150,X_93),mult(X_150,X_93)),ld(mult(X_150,X_93),mult(X_150,X_93))))),bind(Y,$fot(mult(rd(ld(mult(X_150,X_93),mult(X_150,X_93)),mult(X_150,X_93)),mult(X_150,X_93)))),bind(Z,$fot(ld(mult(X_150,X_93),mult(X_150,X_93))))]]) ).

cnf(refute_0_369,plain,
    ( mult(rd(ld(mult(X_150,X_93),mult(X_150,X_93)),mult(X_150,X_93)),mult(X_150,X_93)) != ld(mult(X_150,X_93),mult(X_150,X_93))
    | rd(ld(mult(X_150,X_93),mult(X_150,X_93)),ld(mult(X_150,X_93),mult(X_150,X_93))) = ld(mult(X_150,X_93),mult(X_150,X_93)) ),
    inference(resolve,[$cnf( $equal(rd(ld(mult(X_150,X_93),mult(X_150,X_93)),ld(mult(X_150,X_93),mult(X_150,X_93))),mult(rd(ld(mult(X_150,X_93),mult(X_150,X_93)),mult(X_150,X_93)),mult(X_150,X_93))) )],[refute_0_367,refute_0_368]) ).

cnf(refute_0_370,plain,
    rd(ld(mult(X_150,X_93),mult(X_150,X_93)),ld(mult(X_150,X_93),mult(X_150,X_93))) = ld(mult(X_150,X_93),mult(X_150,X_93)),
    inference(resolve,[$cnf( $equal(mult(rd(ld(mult(X_150,X_93),mult(X_150,X_93)),mult(X_150,X_93)),mult(X_150,X_93)),ld(mult(X_150,X_93),mult(X_150,X_93))) )],[refute_0_339,refute_0_369]) ).

cnf(refute_0_371,plain,
    ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))) = ld(mult(X_150,X_93),mult(X_150,X_93)),
    inference(subst,[],[f02:[bind(A,$fot(X_93)),bind(B,$fot(ld(mult(X_150,X_93),mult(X_150,X_93))))]]) ).

cnf(refute_0_372,plain,
    rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))) = rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))),
    introduced(tautology,[refl,[$fot(rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))))]]) ).

cnf(refute_0_373,plain,
    ( ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))) != ld(mult(X_150,X_93),mult(X_150,X_93))
    | rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))) != rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93)))
    | rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))) = rd(ld(mult(X_150,X_93),mult(X_150,X_93)),ld(mult(X_150,X_93),mult(X_150,X_93))) ),
    introduced(tautology,[equality,[$cnf( $equal(rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))),rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93)))) ),[1,0],$fot(ld(mult(X_150,X_93),mult(X_150,X_93)))]]) ).

cnf(refute_0_374,plain,
    ( ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))) != ld(mult(X_150,X_93),mult(X_150,X_93))
    | rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))) = rd(ld(mult(X_150,X_93),mult(X_150,X_93)),ld(mult(X_150,X_93),mult(X_150,X_93))) ),
    inference(resolve,[$cnf( $equal(rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))),rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93)))) )],[refute_0_372,refute_0_373]) ).

cnf(refute_0_375,plain,
    rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))) = rd(ld(mult(X_150,X_93),mult(X_150,X_93)),ld(mult(X_150,X_93),mult(X_150,X_93))),
    inference(resolve,[$cnf( $equal(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))) )],[refute_0_371,refute_0_374]) ).

cnf(refute_0_376,plain,
    ( rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))) != rd(ld(mult(X_150,X_93),mult(X_150,X_93)),ld(mult(X_150,X_93),mult(X_150,X_93)))
    | rd(ld(mult(X_150,X_93),mult(X_150,X_93)),ld(mult(X_150,X_93),mult(X_150,X_93))) != ld(mult(X_150,X_93),mult(X_150,X_93))
    | rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))) = ld(mult(X_150,X_93),mult(X_150,X_93)) ),
    inference(subst,[],[refute_0_78:[bind(X,$fot(rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))))),bind(Y,$fot(rd(ld(mult(X_150,X_93),mult(X_150,X_93)),ld(mult(X_150,X_93),mult(X_150,X_93))))),bind(Z,$fot(ld(mult(X_150,X_93),mult(X_150,X_93))))]]) ).

cnf(refute_0_377,plain,
    ( rd(ld(mult(X_150,X_93),mult(X_150,X_93)),ld(mult(X_150,X_93),mult(X_150,X_93))) != ld(mult(X_150,X_93),mult(X_150,X_93))
    | rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))) = ld(mult(X_150,X_93),mult(X_150,X_93)) ),
    inference(resolve,[$cnf( $equal(rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))),rd(ld(mult(X_150,X_93),mult(X_150,X_93)),ld(mult(X_150,X_93),mult(X_150,X_93)))) )],[refute_0_375,refute_0_376]) ).

cnf(refute_0_378,plain,
    rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))) = ld(mult(X_150,X_93),mult(X_150,X_93)),
    inference(resolve,[$cnf( $equal(rd(ld(mult(X_150,X_93),mult(X_150,X_93)),ld(mult(X_150,X_93),mult(X_150,X_93))),ld(mult(X_150,X_93),mult(X_150,X_93))) )],[refute_0_370,refute_0_377]) ).

cnf(refute_0_379,plain,
    ( ld(X_93,X_93) != rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93)))
    | rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))) != ld(mult(X_150,X_93),mult(X_150,X_93))
    | ld(X_93,X_93) = ld(mult(X_150,X_93),mult(X_150,X_93)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(ld(X_93,X_93),ld(mult(X_150,X_93),mult(X_150,X_93))) ),[0],$fot(rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))))]]) ).

cnf(refute_0_380,plain,
    ( ld(X_93,X_93) != rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93)))
    | ld(X_93,X_93) = ld(mult(X_150,X_93),mult(X_150,X_93)) ),
    inference(resolve,[$cnf( $equal(rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93))),ld(mult(X_150,X_93),mult(X_150,X_93))) )],[refute_0_378,refute_0_379]) ).

cnf(refute_0_381,plain,
    ( rd(X_93,mult(ld(mult(X_150,X_93),mult(X_150,X_93)),X_93)) != rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93)))
    | ld(X_93,X_93) = ld(mult(X_150,X_93),mult(X_150,X_93)) ),
    inference(resolve,[$cnf( $equal(ld(X_93,X_93),rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93)))) )],[refute_0_338,refute_0_380]) ).

cnf(refute_0_382,plain,
    ld(X_93,X_93) = ld(mult(X_150,X_93),mult(X_150,X_93)),
    inference(resolve,[$cnf( $equal(rd(X_93,mult(ld(mult(X_150,X_93),mult(X_150,X_93)),X_93)),rd(ld(X_93,mult(X_93,ld(mult(X_150,X_93),mult(X_150,X_93)))),ld(mult(X_150,X_93),mult(X_150,X_93)))) )],[refute_0_271,refute_0_381]) ).

cnf(refute_0_383,plain,
    ( ld(X_93,X_93) != ld(mult(X_150,X_93),mult(X_150,X_93))
    | ld(mult(X_150,X_93),mult(X_150,X_93)) = ld(X_93,X_93) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(ld(X_93,X_93))),bind(Y,$fot(ld(mult(X_150,X_93),mult(X_150,X_93))))]]) ).

cnf(refute_0_384,plain,
    ld(mult(X_150,X_93),mult(X_150,X_93)) = ld(X_93,X_93),
    inference(resolve,[$cnf( $equal(ld(X_93,X_93),ld(mult(X_150,X_93),mult(X_150,X_93))) )],[refute_0_382,refute_0_383]) ).

cnf(refute_0_385,plain,
    ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))) = ld(ld(X_80,X_80),ld(X_80,X_80)),
    inference(subst,[],[refute_0_384:[bind(X_150,$fot(X_13)),bind(X_93,$fot(ld(X_80,X_80)))]]) ).

cnf(refute_0_386,plain,
    ( ld(ld(X_80,X_80),ld(X_80,X_80)) != ld(X_80,X_80)
    | ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))) != ld(ld(X_80,X_80),ld(X_80,X_80))
    | ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))) = ld(X_80,X_80) ),
    inference(subst,[],[refute_0_78:[bind(X,$fot(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))))),bind(Y,$fot(ld(ld(X_80,X_80),ld(X_80,X_80)))),bind(Z,$fot(ld(X_80,X_80)))]]) ).

cnf(refute_0_387,plain,
    ( ld(ld(X_80,X_80),ld(X_80,X_80)) != ld(X_80,X_80)
    | ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))) = ld(X_80,X_80) ),
    inference(resolve,[$cnf( $equal(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),ld(ld(X_80,X_80),ld(X_80,X_80))) )],[refute_0_385,refute_0_386]) ).

cnf(refute_0_388,plain,
    ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))) = ld(X_80,X_80),
    inference(resolve,[$cnf( $equal(ld(ld(X_80,X_80),ld(X_80,X_80)),ld(X_80,X_80)) )],[refute_0_248,refute_0_387]) ).

cnf(refute_0_389,plain,
    mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80) = mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),
    introduced(tautology,[refl,[$fot(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80))]]) ).

cnf(refute_0_390,plain,
    ( ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))) != ld(X_80,X_80)
    | mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80) != mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80)
    | mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80) = mult(ld(X_80,X_80),X_80) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80)) ),[1,0],$fot(ld(X_80,X_80))]]) ).

cnf(refute_0_391,plain,
    ( ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))) != ld(X_80,X_80)
    | mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80) = mult(ld(X_80,X_80),X_80) ),
    inference(resolve,[$cnf( $equal(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80)) )],[refute_0_389,refute_0_390]) ).

cnf(refute_0_392,plain,
    mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80) = mult(ld(X_80,X_80),X_80),
    inference(resolve,[$cnf( $equal(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),ld(X_80,X_80)) )],[refute_0_388,refute_0_391]) ).

cnf(refute_0_393,plain,
    ( mult(ld(X_80,X_80),X_80) != X_80
    | mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80) != mult(ld(X_80,X_80),X_80)
    | mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80) = X_80 ),
    inference(subst,[],[refute_0_78:[bind(X,$fot(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80))),bind(Y,$fot(mult(ld(X_80,X_80),X_80))),bind(Z,$fot(X_80))]]) ).

cnf(refute_0_394,plain,
    ( mult(ld(X_80,X_80),X_80) != X_80
    | mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80) = X_80 ),
    inference(resolve,[$cnf( $equal(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(ld(X_80,X_80),X_80)) )],[refute_0_392,refute_0_393]) ).

cnf(refute_0_395,plain,
    mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80) = X_80,
    inference(resolve,[$cnf( $equal(mult(ld(X_80,X_80),X_80),X_80) )],[refute_0_245,refute_0_394]) ).

cnf(refute_0_396,plain,
    ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))) = ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))),
    introduced(tautology,[refl,[$fot(ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))))]]) ).

cnf(refute_0_397,plain,
    ( ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))) != ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80)))
    | mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80) != X_80
    | ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))) = ld(X_80,mult(mult(X_13,X_80),ld(X_80,X_80))) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))),ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80)))) ),[1,0],$fot(X_80)]]) ).

cnf(refute_0_398,plain,
    ( mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80) != X_80
    | ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))) = ld(X_80,mult(mult(X_13,X_80),ld(X_80,X_80))) ),
    inference(resolve,[$cnf( $equal(ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))),ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80)))) )],[refute_0_396,refute_0_397]) ).

cnf(refute_0_399,plain,
    ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))) = ld(X_80,mult(mult(X_13,X_80),ld(X_80,X_80))),
    inference(resolve,[$cnf( $equal(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),X_80) )],[refute_0_395,refute_0_398]) ).

cnf(refute_0_400,plain,
    ( ld(X_80,mult(mult(X_13,X_80),ld(X_80,X_80))) != ld(X_80,mult(X_13,X_80))
    | ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))) != ld(X_80,mult(mult(X_13,X_80),ld(X_80,X_80)))
    | ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))) = ld(X_80,mult(X_13,X_80)) ),
    inference(subst,[],[refute_0_78:[bind(X,$fot(ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))))),bind(Y,$fot(ld(X_80,mult(mult(X_13,X_80),ld(X_80,X_80))))),bind(Z,$fot(ld(X_80,mult(X_13,X_80))))]]) ).

cnf(refute_0_401,plain,
    ( ld(X_80,mult(mult(X_13,X_80),ld(X_80,X_80))) != ld(X_80,mult(X_13,X_80))
    | ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))) = ld(X_80,mult(X_13,X_80)) ),
    inference(resolve,[$cnf( $equal(ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))),ld(X_80,mult(mult(X_13,X_80),ld(X_80,X_80)))) )],[refute_0_399,refute_0_400]) ).

cnf(refute_0_402,plain,
    ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))) = ld(X_80,mult(X_13,X_80)),
    inference(resolve,[$cnf( $equal(ld(X_80,mult(mult(X_13,X_80),ld(X_80,X_80))),ld(X_80,mult(X_13,X_80))) )],[refute_0_244,refute_0_401]) ).

cnf(refute_0_403,plain,
    ( ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))) != ld(X_80,mult(X_13,X_80))
    | ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))) != mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80)
    | ld(X_80,mult(X_13,X_80)) = mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))),mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80)) ),[0],$fot(ld(X_80,mult(X_13,X_80)))]]) ).

cnf(refute_0_404,plain,
    ( ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))) != mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80)
    | ld(X_80,mult(X_13,X_80)) = mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80) ),
    inference(resolve,[$cnf( $equal(ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))),ld(X_80,mult(X_13,X_80))) )],[refute_0_402,refute_0_403]) ).

cnf(refute_0_405,plain,
    mult(X_13,ld(X_80,X_80)) = X_13,
    inference(subst,[],[refute_0_191:[bind(A,$fot(X_80)),bind(X_149,$fot(X_13))]]) ).

cnf(refute_0_406,plain,
    ld(X_80,mult(X_13,ld(X_80,X_80))) = ld(X_80,mult(X_13,ld(X_80,X_80))),
    introduced(tautology,[refl,[$fot(ld(X_80,mult(X_13,ld(X_80,X_80))))]]) ).

cnf(refute_0_407,plain,
    ( ld(X_80,mult(X_13,ld(X_80,X_80))) != ld(X_80,mult(X_13,ld(X_80,X_80)))
    | mult(X_13,ld(X_80,X_80)) != X_13
    | ld(X_80,mult(X_13,ld(X_80,X_80))) = ld(X_80,X_13) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(X_80,mult(X_13,ld(X_80,X_80))),ld(X_80,mult(X_13,ld(X_80,X_80)))) ),[1,1],$fot(X_13)]]) ).

cnf(refute_0_408,plain,
    ( mult(X_13,ld(X_80,X_80)) != X_13
    | ld(X_80,mult(X_13,ld(X_80,X_80))) = ld(X_80,X_13) ),
    inference(resolve,[$cnf( $equal(ld(X_80,mult(X_13,ld(X_80,X_80))),ld(X_80,mult(X_13,ld(X_80,X_80)))) )],[refute_0_406,refute_0_407]) ).

cnf(refute_0_409,plain,
    ld(X_80,mult(X_13,ld(X_80,X_80))) = ld(X_80,X_13),
    inference(resolve,[$cnf( $equal(mult(X_13,ld(X_80,X_80)),X_13) )],[refute_0_405,refute_0_408]) ).

cnf(refute_0_410,plain,
    mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80) = mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80),
    introduced(tautology,[refl,[$fot(mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80))]]) ).

cnf(refute_0_411,plain,
    ( ld(X_80,mult(X_13,ld(X_80,X_80))) != ld(X_80,X_13)
    | mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80) != mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80)
    | mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80) = mult(ld(X_80,X_13),X_80) ),
    introduced(tautology,[equality,[$cnf( $equal(mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80),mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80)) ),[1,0],$fot(ld(X_80,X_13))]]) ).

cnf(refute_0_412,plain,
    ( ld(X_80,mult(X_13,ld(X_80,X_80))) != ld(X_80,X_13)
    | mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80) = mult(ld(X_80,X_13),X_80) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80),mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80)) )],[refute_0_410,refute_0_411]) ).

cnf(refute_0_413,plain,
    mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80) = mult(ld(X_80,X_13),X_80),
    inference(resolve,[$cnf( $equal(ld(X_80,mult(X_13,ld(X_80,X_80))),ld(X_80,X_13)) )],[refute_0_409,refute_0_412]) ).

cnf(refute_0_414,plain,
    ( ld(X_80,mult(X_13,X_80)) != mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80)
    | mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80) != mult(ld(X_80,X_13),X_80)
    | ld(X_80,mult(X_13,X_80)) = mult(ld(X_80,X_13),X_80) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(ld(X_80,mult(X_13,X_80)),mult(ld(X_80,X_13),X_80)) ),[0],$fot(mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80))]]) ).

cnf(refute_0_415,plain,
    ( ld(X_80,mult(X_13,X_80)) != mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80)
    | ld(X_80,mult(X_13,X_80)) = mult(ld(X_80,X_13),X_80) ),
    inference(resolve,[$cnf( $equal(mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80),mult(ld(X_80,X_13),X_80)) )],[refute_0_413,refute_0_414]) ).

cnf(refute_0_416,plain,
    ( ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))) != mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80)
    | ld(X_80,mult(X_13,X_80)) = mult(ld(X_80,X_13),X_80) ),
    inference(resolve,[$cnf( $equal(ld(X_80,mult(X_13,X_80)),mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80)) )],[refute_0_404,refute_0_415]) ).

cnf(refute_0_417,plain,
    ld(X_80,mult(X_13,X_80)) = mult(ld(X_80,X_13),X_80),
    inference(resolve,[$cnf( $equal(ld(mult(ld(mult(X_13,ld(X_80,X_80)),mult(X_13,ld(X_80,X_80))),X_80),mult(mult(X_13,X_80),ld(X_80,X_80))),mult(ld(X_80,mult(X_13,ld(X_80,X_80))),X_80)) )],[refute_0_239,refute_0_416]) ).

cnf(refute_0_418,plain,
    ( ld(X_80,mult(X_13,X_80)) != mult(ld(X_80,X_13),X_80)
    | mult(ld(X_80,X_13),X_80) = ld(X_80,mult(X_13,X_80)) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(ld(X_80,mult(X_13,X_80)))),bind(Y,$fot(mult(ld(X_80,X_13),X_80)))]]) ).

cnf(refute_0_419,plain,
    mult(ld(X_80,X_13),X_80) = ld(X_80,mult(X_13,X_80)),
    inference(resolve,[$cnf( $equal(ld(X_80,mult(X_13,X_80)),mult(ld(X_80,X_13),X_80)) )],[refute_0_417,refute_0_418]) ).

cnf(refute_0_420,plain,
    mult(ld(ld(X_77,B),X_76),ld(X_77,B)) = ld(ld(X_77,B),mult(X_76,ld(X_77,B))),
    inference(subst,[],[refute_0_419:[bind(X_13,$fot(X_76)),bind(X_80,$fot(ld(X_77,B)))]]) ).

cnf(refute_0_421,plain,
    ( ld(B,mult(mult(X_77,X_76),ld(X_77,B))) != mult(ld(ld(X_77,B),X_76),ld(X_77,B))
    | mult(ld(ld(X_77,B),X_76),ld(X_77,B)) != ld(ld(X_77,B),mult(X_76,ld(X_77,B)))
    | ld(B,mult(mult(X_77,X_76),ld(X_77,B))) = ld(ld(X_77,B),mult(X_76,ld(X_77,B))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(ld(B,mult(mult(X_77,X_76),ld(X_77,B))),ld(ld(X_77,B),mult(X_76,ld(X_77,B)))) ),[0],$fot(mult(ld(ld(X_77,B),X_76),ld(X_77,B)))]]) ).

cnf(refute_0_422,plain,
    ( ld(B,mult(mult(X_77,X_76),ld(X_77,B))) != mult(ld(ld(X_77,B),X_76),ld(X_77,B))
    | ld(B,mult(mult(X_77,X_76),ld(X_77,B))) = ld(ld(X_77,B),mult(X_76,ld(X_77,B))) ),
    inference(resolve,[$cnf( $equal(mult(ld(ld(X_77,B),X_76),ld(X_77,B)),ld(ld(X_77,B),mult(X_76,ld(X_77,B)))) )],[refute_0_420,refute_0_421]) ).

cnf(refute_0_423,plain,
    ld(B,mult(mult(X_77,X_76),ld(X_77,B))) = ld(ld(X_77,B),mult(X_76,ld(X_77,B))),
    inference(resolve,[$cnf( $equal(ld(B,mult(mult(X_77,X_76),ld(X_77,B))),mult(ld(ld(X_77,B),X_76),ld(X_77,B))) )],[refute_0_182,refute_0_422]) ).

cnf(refute_0_424,plain,
    ( ld(B,mult(mult(X_77,X_76),ld(X_77,B))) != ld(ld(X_77,B),mult(X_76,ld(X_77,B)))
    | ld(ld(X_77,B),mult(X_76,ld(X_77,B))) = ld(B,mult(mult(X_77,X_76),ld(X_77,B))) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(ld(B,mult(mult(X_77,X_76),ld(X_77,B))))),bind(Y,$fot(ld(ld(X_77,B),mult(X_76,ld(X_77,B)))))]]) ).

cnf(refute_0_425,plain,
    ld(ld(X_77,B),mult(X_76,ld(X_77,B))) = ld(B,mult(mult(X_77,X_76),ld(X_77,B))),
    inference(resolve,[$cnf( $equal(ld(B,mult(mult(X_77,X_76),ld(X_77,B))),ld(ld(X_77,B),mult(X_76,ld(X_77,B)))) )],[refute_0_423,refute_0_424]) ).

cnf(refute_0_426,plain,
    ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))) = ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54))),
    inference(subst,[],[refute_0_425:[bind(B,$fot(X_54)),bind(X_76,$fot(mult(ld(X_54,X_54),X_76))),bind(X_77,$fot(X_54))]]) ).

cnf(refute_0_427,plain,
    ( ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54))) != mult(ld(X_54,X_54),X_76)
    | ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))) != ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54)))
    | ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))) = mult(ld(X_54,X_54),X_76) ),
    inference(subst,[],[refute_0_78:[bind(X,$fot(ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))))),bind(Y,$fot(ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54))))),bind(Z,$fot(mult(ld(X_54,X_54),X_76)))]]) ).

cnf(refute_0_428,plain,
    ( ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54))) != mult(ld(X_54,X_54),X_76)
    | ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))) = mult(ld(X_54,X_54),X_76) ),
    inference(resolve,[$cnf( $equal(ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))),ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54)))) )],[refute_0_426,refute_0_427]) ).

cnf(refute_0_429,plain,
    ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))) = mult(ld(X_54,X_54),X_76),
    inference(resolve,[$cnf( $equal(ld(X_54,mult(mult(X_54,mult(ld(X_54,X_54),X_76)),ld(X_54,X_54))),mult(ld(X_54,X_54),X_76)) )],[refute_0_199,refute_0_428]) ).

cnf(refute_0_430,plain,
    ( ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))) != ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54)))
    | ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))) != mult(ld(X_54,X_54),X_76)
    | mult(ld(X_54,X_54),X_76) = ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54))) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))),ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54)))) ),[0],$fot(mult(ld(X_54,X_54),X_76))]]) ).

cnf(refute_0_431,plain,
    ( ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))) != ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54)))
    | mult(ld(X_54,X_54),X_76) = ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54))) ),
    inference(resolve,[$cnf( $equal(ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))),mult(ld(X_54,X_54),X_76)) )],[refute_0_429,refute_0_430]) ).

cnf(refute_0_432,plain,
    ld(X_54,mult(X_54,X_76)) = X_76,
    inference(subst,[],[f02:[bind(A,$fot(X_54)),bind(B,$fot(X_76))]]) ).

cnf(refute_0_433,plain,
    mult(mult(X_54,X_76),ld(X_54,X_54)) = mult(X_54,X_76),
    inference(subst,[],[refute_0_191:[bind(A,$fot(X_54)),bind(X_149,$fot(mult(X_54,X_76)))]]) ).

cnf(refute_0_434,plain,
    ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54))) = ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54))),
    introduced(tautology,[refl,[$fot(ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54))))]]) ).

cnf(refute_0_435,plain,
    ( ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54))) != ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54)))
    | mult(mult(X_54,X_76),ld(X_54,X_54)) != mult(X_54,X_76)
    | ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54))) = ld(X_54,mult(X_54,X_76)) ),
    introduced(tautology,[equality,[$cnf( $equal(ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54))),ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54)))) ),[1,1],$fot(mult(X_54,X_76))]]) ).

cnf(refute_0_436,plain,
    ( mult(mult(X_54,X_76),ld(X_54,X_54)) != mult(X_54,X_76)
    | ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54))) = ld(X_54,mult(X_54,X_76)) ),
    inference(resolve,[$cnf( $equal(ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54))),ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54)))) )],[refute_0_434,refute_0_435]) ).

cnf(refute_0_437,plain,
    ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54))) = ld(X_54,mult(X_54,X_76)),
    inference(resolve,[$cnf( $equal(mult(mult(X_54,X_76),ld(X_54,X_54)),mult(X_54,X_76)) )],[refute_0_433,refute_0_436]) ).

cnf(refute_0_438,plain,
    ( ld(X_54,mult(X_54,X_76)) != X_76
    | ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54))) != ld(X_54,mult(X_54,X_76))
    | ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54))) = X_76 ),
    inference(subst,[],[refute_0_78:[bind(X,$fot(ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54))))),bind(Y,$fot(ld(X_54,mult(X_54,X_76)))),bind(Z,$fot(X_76))]]) ).

cnf(refute_0_439,plain,
    ( ld(X_54,mult(X_54,X_76)) != X_76
    | ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54))) = X_76 ),
    inference(resolve,[$cnf( $equal(ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54))),ld(X_54,mult(X_54,X_76))) )],[refute_0_437,refute_0_438]) ).

cnf(refute_0_440,plain,
    ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54))) = X_76,
    inference(resolve,[$cnf( $equal(ld(X_54,mult(X_54,X_76)),X_76) )],[refute_0_432,refute_0_439]) ).

cnf(refute_0_441,plain,
    ( ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54))) != X_76
    | mult(ld(X_54,X_54),X_76) != ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54)))
    | mult(ld(X_54,X_54),X_76) = X_76 ),
    introduced(tautology,[equality,[$cnf( $equal(mult(ld(X_54,X_54),X_76),ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54)))) ),[1],$fot(X_76)]]) ).

cnf(refute_0_442,plain,
    ( mult(ld(X_54,X_54),X_76) != ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54)))
    | mult(ld(X_54,X_54),X_76) = X_76 ),
    inference(resolve,[$cnf( $equal(ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54))),X_76) )],[refute_0_440,refute_0_441]) ).

cnf(refute_0_443,plain,
    ( ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))) != ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54)))
    | mult(ld(X_54,X_54),X_76) = X_76 ),
    inference(resolve,[$cnf( $equal(mult(ld(X_54,X_54),X_76),ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54)))) )],[refute_0_431,refute_0_442]) ).

cnf(refute_0_444,plain,
    mult(ld(X_54,X_54),X_76) = X_76,
    inference(resolve,[$cnf( $equal(ld(ld(X_54,X_54),mult(mult(ld(X_54,X_54),X_76),ld(X_54,X_54))),ld(X_54,mult(mult(X_54,X_76),ld(X_54,X_54)))) )],[refute_0_188,refute_0_443]) ).

cnf(refute_0_445,plain,
    mult(ld(X_151,X_151),x1(ld(X_151,X_151))) = x1(ld(X_151,X_151)),
    inference(subst,[],[refute_0_444:[bind(X_54,$fot(X_151)),bind(X_76,$fot(x1(ld(X_151,X_151))))]]) ).

cnf(refute_0_446,plain,
    tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),x1_2(ld(X_151,X_151))) = tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),x1_2(ld(X_151,X_151))),
    introduced(tautology,[refl,[$fot(tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),x1_2(ld(X_151,X_151))))]]) ).

cnf(refute_0_447,plain,
    ( mult(ld(X_151,X_151),x1(ld(X_151,X_151))) != x1(ld(X_151,X_151))
    | tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),x1_2(ld(X_151,X_151))) != tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),x1_2(ld(X_151,X_151)))
    | tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),x1_2(ld(X_151,X_151))) = tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151))) ),
    introduced(tautology,[equality,[$cnf( $equal(tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),x1_2(ld(X_151,X_151))),tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),x1_2(ld(X_151,X_151)))) ),[1,0],$fot(x1(ld(X_151,X_151)))]]) ).

cnf(refute_0_448,plain,
    ( mult(ld(X_151,X_151),x1(ld(X_151,X_151))) != x1(ld(X_151,X_151))
    | tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),x1_2(ld(X_151,X_151))) = tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151))) ),
    inference(resolve,[$cnf( $equal(tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),x1_2(ld(X_151,X_151))),tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),x1_2(ld(X_151,X_151)))) )],[refute_0_446,refute_0_447]) ).

cnf(refute_0_449,plain,
    tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),x1_2(ld(X_151,X_151))) = tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151))),
    inference(resolve,[$cnf( $equal(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),x1(ld(X_151,X_151))) )],[refute_0_445,refute_0_448]) ).

cnf(refute_0_450,plain,
    ( tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),x1_2(ld(X_151,X_151))) != tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151)))
    | tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151))) != tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151)))
    | tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),x1_2(ld(X_151,X_151))) = tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),x1_2(ld(X_151,X_151))),tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151)))) ),[0],$fot(tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151))))]]) ).

cnf(refute_0_451,plain,
    ( tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151))) != tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151)))
    | tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),x1_2(ld(X_151,X_151))) = tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151))) ),
    inference(resolve,[$cnf( $equal(tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),x1_2(ld(X_151,X_151))),tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151)))) )],[refute_0_449,refute_0_450]) ).

cnf(refute_0_452,plain,
    tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151))) != tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151))),
    inference(resolve,[$cnf( $equal(tuple(mult(ld(X_151,X_151),x1(ld(X_151,X_151))),x1_2(ld(X_151,X_151))),tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151)))) )],[refute_0_451,refute_0_174]) ).

cnf(refute_0_453,plain,
    tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151))) = tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151))),
    introduced(tautology,[refl,[$fot(tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151))))]]) ).

cnf(refute_0_454,plain,
    $false,
    inference(resolve,[$cnf( $equal(tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151))),tuple(x1(ld(X_151,X_151)),x1_2(ld(X_151,X_151)))) )],[refute_0_453,refute_0_452]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GRP659-10 : TPTP v8.1.0. Released v8.1.0.
% 0.10/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n032.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 22:18:42 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.21/1.40  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.21/1.40  
% 1.21/1.40  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.30/1.47  
%------------------------------------------------------------------------------