TSTP Solution File: ALG111+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : ALG111+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n031.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  : 300s
% DateTime : Tue Aug 22 10:31:24 EDT 2023

% Result   : Theorem 26.55s 11.62s
% Output   : CNFRefutation 27.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   43
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  283 ( 119 unt;  14 typ;   0 def)
%            Number of atoms       : 1702 (1701 equ)
%            Maximal formula atoms :  128 (   6 avg)
%            Number of connectives : 2394 ( 961   ~;1049   |; 384   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   66 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    8 (   6   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ op2 > op1 > #nlpp > h4 > h3 > h2 > h1 > e23 > e22 > e21 > e20 > e13 > e12 > e11 > e10

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(e21,type,
    e21: $i ).

tff(h4,type,
    h4: $i > $i ).

tff(e20,type,
    e20: $i ).

tff(h3,type,
    h3: $i > $i ).

tff(h2,type,
    h2: $i > $i ).

tff(e13,type,
    e13: $i ).

tff(e22,type,
    e22: $i ).

tff(op2,type,
    op2: ( $i * $i ) > $i ).

tff(op1,type,
    op1: ( $i * $i ) > $i ).

tff(h1,type,
    h1: $i > $i ).

tff(e10,type,
    e10: $i ).

tff(e23,type,
    e23: $i ).

tff(e12,type,
    e12: $i ).

tff(e11,type,
    e11: $i ).

tff(f_1960,axiom,
    ( ( h4(e13) = e23 )
    & ( h4(e10) = op2(e23,op2(e23,e23)) )
    & ( h4(e11) = op2(e23,e23) )
    & ( h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

tff(f_1092,axiom,
    ( ( e10 != e11 )
    & ( e10 != e12 )
    & ( e10 != e13 )
    & ( e11 != e12 )
    & ( e11 != e13 )
    & ( e12 != e13 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

tff(f_1927,axiom,
    ( ( e10 = op1(e13,op1(e13,e13)) )
    & ( e11 = op1(e13,e13) )
    & ( e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

tff(f_1539,axiom,
    ( ( ( op1(e10,e10) != e10 )
      | ( op1(e10,e10) != e10 ) )
    & ( ( op1(e10,e10) != e10 )
      | ( op1(e11,e11) != e10 ) )
    & ( ( op1(e10,e10) != e10 )
      | ( op1(e12,e12) != e10 ) )
    & ( ( op1(e10,e10) != e10 )
      | ( op1(e13,e13) != e10 ) )
    & ( ( op1(e10,e11) != e10 )
      | ( op1(e10,e10) != e11 ) )
    & ( ( op1(e10,e11) != e10 )
      | ( op1(e11,e11) != e11 ) )
    & ( ( op1(e10,e11) != e10 )
      | ( op1(e12,e12) != e11 ) )
    & ( ( op1(e10,e11) != e10 )
      | ( op1(e13,e13) != e11 ) )
    & ( ( op1(e10,e12) != e10 )
      | ( op1(e10,e10) != e12 ) )
    & ( ( op1(e10,e12) != e10 )
      | ( op1(e11,e11) != e12 ) )
    & ( ( op1(e10,e12) != e10 )
      | ( op1(e12,e12) != e12 ) )
    & ( ( op1(e10,e12) != e10 )
      | ( op1(e13,e13) != e12 ) )
    & ( ( op1(e10,e13) != e10 )
      | ( op1(e10,e10) != e13 ) )
    & ( ( op1(e10,e13) != e10 )
      | ( op1(e11,e11) != e13 ) )
    & ( ( op1(e10,e13) != e10 )
      | ( op1(e12,e12) != e13 ) )
    & ( ( op1(e10,e13) != e10 )
      | ( op1(e13,e13) != e13 ) )
    & ( ( op1(e11,e10) != e11 )
      | ( op1(e10,e10) != e10 ) )
    & ( ( op1(e11,e10) != e11 )
      | ( op1(e11,e11) != e10 ) )
    & ( ( op1(e11,e10) != e11 )
      | ( op1(e12,e12) != e10 ) )
    & ( ( op1(e11,e10) != e11 )
      | ( op1(e13,e13) != e10 ) )
    & ( ( op1(e11,e11) != e11 )
      | ( op1(e10,e10) != e11 ) )
    & ( ( op1(e11,e11) != e11 )
      | ( op1(e11,e11) != e11 ) )
    & ( ( op1(e11,e11) != e11 )
      | ( op1(e12,e12) != e11 ) )
    & ( ( op1(e11,e11) != e11 )
      | ( op1(e13,e13) != e11 ) )
    & ( ( op1(e11,e12) != e11 )
      | ( op1(e10,e10) != e12 ) )
    & ( ( op1(e11,e12) != e11 )
      | ( op1(e11,e11) != e12 ) )
    & ( ( op1(e11,e12) != e11 )
      | ( op1(e12,e12) != e12 ) )
    & ( ( op1(e11,e12) != e11 )
      | ( op1(e13,e13) != e12 ) )
    & ( ( op1(e11,e13) != e11 )
      | ( op1(e10,e10) != e13 ) )
    & ( ( op1(e11,e13) != e11 )
      | ( op1(e11,e11) != e13 ) )
    & ( ( op1(e11,e13) != e11 )
      | ( op1(e12,e12) != e13 ) )
    & ( ( op1(e11,e13) != e11 )
      | ( op1(e13,e13) != e13 ) )
    & ( ( op1(e12,e10) != e12 )
      | ( op1(e10,e10) != e10 ) )
    & ( ( op1(e12,e10) != e12 )
      | ( op1(e11,e11) != e10 ) )
    & ( ( op1(e12,e10) != e12 )
      | ( op1(e12,e12) != e10 ) )
    & ( ( op1(e12,e10) != e12 )
      | ( op1(e13,e13) != e10 ) )
    & ( ( op1(e12,e11) != e12 )
      | ( op1(e10,e10) != e11 ) )
    & ( ( op1(e12,e11) != e12 )
      | ( op1(e11,e11) != e11 ) )
    & ( ( op1(e12,e11) != e12 )
      | ( op1(e12,e12) != e11 ) )
    & ( ( op1(e12,e11) != e12 )
      | ( op1(e13,e13) != e11 ) )
    & ( ( op1(e12,e12) != e12 )
      | ( op1(e10,e10) != e12 ) )
    & ( ( op1(e12,e12) != e12 )
      | ( op1(e11,e11) != e12 ) )
    & ( ( op1(e12,e12) != e12 )
      | ( op1(e12,e12) != e12 ) )
    & ( ( op1(e12,e12) != e12 )
      | ( op1(e13,e13) != e12 ) )
    & ( ( op1(e12,e13) != e12 )
      | ( op1(e10,e10) != e13 ) )
    & ( ( op1(e12,e13) != e12 )
      | ( op1(e11,e11) != e13 ) )
    & ( ( op1(e12,e13) != e12 )
      | ( op1(e12,e12) != e13 ) )
    & ( ( op1(e12,e13) != e12 )
      | ( op1(e13,e13) != e13 ) )
    & ( ( op1(e13,e10) != e13 )
      | ( op1(e10,e10) != e10 ) )
    & ( ( op1(e13,e10) != e13 )
      | ( op1(e11,e11) != e10 ) )
    & ( ( op1(e13,e10) != e13 )
      | ( op1(e12,e12) != e10 ) )
    & ( ( op1(e13,e10) != e13 )
      | ( op1(e13,e13) != e10 ) )
    & ( ( op1(e13,e11) != e13 )
      | ( op1(e10,e10) != e11 ) )
    & ( ( op1(e13,e11) != e13 )
      | ( op1(e11,e11) != e11 ) )
    & ( ( op1(e13,e11) != e13 )
      | ( op1(e12,e12) != e11 ) )
    & ( ( op1(e13,e11) != e13 )
      | ( op1(e13,e13) != e11 ) )
    & ( ( op1(e13,e12) != e13 )
      | ( op1(e10,e10) != e12 ) )
    & ( ( op1(e13,e12) != e13 )
      | ( op1(e11,e11) != e12 ) )
    & ( ( op1(e13,e12) != e13 )
      | ( op1(e12,e12) != e12 ) )
    & ( ( op1(e13,e12) != e13 )
      | ( op1(e13,e13) != e12 ) )
    & ( ( op1(e13,e13) != e13 )
      | ( op1(e10,e10) != e13 ) )
    & ( ( op1(e13,e13) != e13 )
      | ( op1(e11,e11) != e13 ) )
    & ( ( op1(e13,e13) != e13 )
      | ( op1(e12,e12) != e13 ) )
    & ( ( op1(e13,e13) != e13 )
      | ( op1(e13,e13) != e13 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).

tff(f_407,axiom,
    ( ( ( op1(e10,e10) = e10 )
      | ( op1(e10,e11) = e10 )
      | ( op1(e10,e12) = e10 )
      | ( op1(e10,e13) = e10 ) )
    & ( ( op1(e10,e10) = e10 )
      | ( op1(e11,e10) = e10 )
      | ( op1(e12,e10) = e10 )
      | ( op1(e13,e10) = e10 ) )
    & ( ( op1(e10,e10) = e11 )
      | ( op1(e10,e11) = e11 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e13) = e11 ) )
    & ( ( op1(e10,e10) = e11 )
      | ( op1(e11,e10) = e11 )
      | ( op1(e12,e10) = e11 )
      | ( op1(e13,e10) = e11 ) )
    & ( ( op1(e10,e10) = e12 )
      | ( op1(e10,e11) = e12 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e13) = e12 ) )
    & ( ( op1(e10,e10) = e12 )
      | ( op1(e11,e10) = e12 )
      | ( op1(e12,e10) = e12 )
      | ( op1(e13,e10) = e12 ) )
    & ( ( op1(e10,e10) = e13 )
      | ( op1(e10,e11) = e13 )
      | ( op1(e10,e12) = e13 )
      | ( op1(e10,e13) = e13 ) )
    & ( ( op1(e10,e10) = e13 )
      | ( op1(e11,e10) = e13 )
      | ( op1(e12,e10) = e13 )
      | ( op1(e13,e10) = e13 ) )
    & ( ( op1(e11,e10) = e10 )
      | ( op1(e11,e11) = e10 )
      | ( op1(e11,e12) = e10 )
      | ( op1(e11,e13) = e10 ) )
    & ( ( op1(e10,e11) = e10 )
      | ( op1(e11,e11) = e10 )
      | ( op1(e12,e11) = e10 )
      | ( op1(e13,e11) = e10 ) )
    & ( ( op1(e11,e10) = e11 )
      | ( op1(e11,e11) = e11 )
      | ( op1(e11,e12) = e11 )
      | ( op1(e11,e13) = e11 ) )
    & ( ( op1(e10,e11) = e11 )
      | ( op1(e11,e11) = e11 )
      | ( op1(e12,e11) = e11 )
      | ( op1(e13,e11) = e11 ) )
    & ( ( op1(e11,e10) = e12 )
      | ( op1(e11,e11) = e12 )
      | ( op1(e11,e12) = e12 )
      | ( op1(e11,e13) = e12 ) )
    & ( ( op1(e10,e11) = e12 )
      | ( op1(e11,e11) = e12 )
      | ( op1(e12,e11) = e12 )
      | ( op1(e13,e11) = e12 ) )
    & ( ( op1(e11,e10) = e13 )
      | ( op1(e11,e11) = e13 )
      | ( op1(e11,e12) = e13 )
      | ( op1(e11,e13) = e13 ) )
    & ( ( op1(e10,e11) = e13 )
      | ( op1(e11,e11) = e13 )
      | ( op1(e12,e11) = e13 )
      | ( op1(e13,e11) = e13 ) )
    & ( ( op1(e12,e10) = e10 )
      | ( op1(e12,e11) = e10 )
      | ( op1(e12,e12) = e10 )
      | ( op1(e12,e13) = e10 ) )
    & ( ( op1(e10,e12) = e10 )
      | ( op1(e11,e12) = e10 )
      | ( op1(e12,e12) = e10 )
      | ( op1(e13,e12) = e10 ) )
    & ( ( op1(e12,e10) = e11 )
      | ( op1(e12,e11) = e11 )
      | ( op1(e12,e12) = e11 )
      | ( op1(e12,e13) = e11 ) )
    & ( ( op1(e10,e12) = e11 )
      | ( op1(e11,e12) = e11 )
      | ( op1(e12,e12) = e11 )
      | ( op1(e13,e12) = e11 ) )
    & ( ( op1(e12,e10) = e12 )
      | ( op1(e12,e11) = e12 )
      | ( op1(e12,e12) = e12 )
      | ( op1(e12,e13) = e12 ) )
    & ( ( op1(e10,e12) = e12 )
      | ( op1(e11,e12) = e12 )
      | ( op1(e12,e12) = e12 )
      | ( op1(e13,e12) = e12 ) )
    & ( ( op1(e12,e10) = e13 )
      | ( op1(e12,e11) = e13 )
      | ( op1(e12,e12) = e13 )
      | ( op1(e12,e13) = e13 ) )
    & ( ( op1(e10,e12) = e13 )
      | ( op1(e11,e12) = e13 )
      | ( op1(e12,e12) = e13 )
      | ( op1(e13,e12) = e13 ) )
    & ( ( op1(e13,e10) = e10 )
      | ( op1(e13,e11) = e10 )
      | ( op1(e13,e12) = e10 )
      | ( op1(e13,e13) = e10 ) )
    & ( ( op1(e10,e13) = e10 )
      | ( op1(e11,e13) = e10 )
      | ( op1(e12,e13) = e10 )
      | ( op1(e13,e13) = e10 ) )
    & ( ( op1(e13,e10) = e11 )
      | ( op1(e13,e11) = e11 )
      | ( op1(e13,e12) = e11 )
      | ( op1(e13,e13) = e11 ) )
    & ( ( op1(e10,e13) = e11 )
      | ( op1(e11,e13) = e11 )
      | ( op1(e12,e13) = e11 )
      | ( op1(e13,e13) = e11 ) )
    & ( ( op1(e13,e10) = e12 )
      | ( op1(e13,e11) = e12 )
      | ( op1(e13,e12) = e12 )
      | ( op1(e13,e13) = e12 ) )
    & ( ( op1(e10,e13) = e12 )
      | ( op1(e11,e13) = e12 )
      | ( op1(e12,e13) = e12 )
      | ( op1(e13,e13) = e12 ) )
    & ( ( op1(e13,e10) = e13 )
      | ( op1(e13,e11) = e13 )
      | ( op1(e13,e12) = e13 )
      | ( op1(e13,e13) = e13 ) )
    & ( ( op1(e10,e13) = e13 )
      | ( op1(e11,e13) = e13 )
      | ( op1(e12,e13) = e13 )
      | ( op1(e13,e13) = e13 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

tff(f_932,axiom,
    ( ( op1(e10,e10) != op1(e11,e10) )
    & ( op1(e10,e10) != op1(e12,e10) )
    & ( op1(e10,e10) != op1(e13,e10) )
    & ( op1(e11,e10) != op1(e12,e10) )
    & ( op1(e11,e10) != op1(e13,e10) )
    & ( op1(e12,e10) != op1(e13,e10) )
    & ( op1(e10,e11) != op1(e11,e11) )
    & ( op1(e10,e11) != op1(e12,e11) )
    & ( op1(e10,e11) != op1(e13,e11) )
    & ( op1(e11,e11) != op1(e12,e11) )
    & ( op1(e11,e11) != op1(e13,e11) )
    & ( op1(e12,e11) != op1(e13,e11) )
    & ( op1(e10,e12) != op1(e11,e12) )
    & ( op1(e10,e12) != op1(e12,e12) )
    & ( op1(e10,e12) != op1(e13,e12) )
    & ( op1(e11,e12) != op1(e12,e12) )
    & ( op1(e11,e12) != op1(e13,e12) )
    & ( op1(e12,e12) != op1(e13,e12) )
    & ( op1(e10,e13) != op1(e11,e13) )
    & ( op1(e10,e13) != op1(e12,e13) )
    & ( op1(e10,e13) != op1(e13,e13) )
    & ( op1(e11,e13) != op1(e12,e13) )
    & ( op1(e11,e13) != op1(e13,e13) )
    & ( op1(e12,e13) != op1(e13,e13) )
    & ( op1(e10,e10) != op1(e10,e11) )
    & ( op1(e10,e10) != op1(e10,e12) )
    & ( op1(e10,e10) != op1(e10,e13) )
    & ( op1(e10,e11) != op1(e10,e12) )
    & ( op1(e10,e11) != op1(e10,e13) )
    & ( op1(e10,e12) != op1(e10,e13) )
    & ( op1(e11,e10) != op1(e11,e11) )
    & ( op1(e11,e10) != op1(e11,e12) )
    & ( op1(e11,e10) != op1(e11,e13) )
    & ( op1(e11,e11) != op1(e11,e12) )
    & ( op1(e11,e11) != op1(e11,e13) )
    & ( op1(e11,e12) != op1(e11,e13) )
    & ( op1(e12,e10) != op1(e12,e11) )
    & ( op1(e12,e10) != op1(e12,e12) )
    & ( op1(e12,e10) != op1(e12,e13) )
    & ( op1(e12,e11) != op1(e12,e12) )
    & ( op1(e12,e11) != op1(e12,e13) )
    & ( op1(e12,e12) != op1(e12,e13) )
    & ( op1(e13,e10) != op1(e13,e11) )
    & ( op1(e13,e10) != op1(e13,e12) )
    & ( op1(e13,e10) != op1(e13,e13) )
    & ( op1(e13,e11) != op1(e13,e12) )
    & ( op1(e13,e11) != op1(e13,e13) )
    & ( op1(e13,e12) != op1(e13,e13) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

tff(f_1932,axiom,
    ( ( e20 = op2(e23,op2(e23,e23)) )
    & ( e21 = op2(e23,e23) )
    & ( e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

tff(f_1109,axiom,
    ( ( e20 != e21 )
    & ( e20 != e22 )
    & ( e20 != e23 )
    & ( e21 != e22 )
    & ( e21 != e23 )
    & ( e22 != e23 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).

tff(f_1922,axiom,
    ( ( ( op2(e20,e20) != e20 )
      | ( op2(e20,e20) != e20 ) )
    & ( ( op2(e20,e20) != e20 )
      | ( op2(e21,e21) != e20 ) )
    & ( ( op2(e20,e20) != e20 )
      | ( op2(e22,e22) != e20 ) )
    & ( ( op2(e20,e20) != e20 )
      | ( op2(e23,e23) != e20 ) )
    & ( ( op2(e20,e21) != e20 )
      | ( op2(e20,e20) != e21 ) )
    & ( ( op2(e20,e21) != e20 )
      | ( op2(e21,e21) != e21 ) )
    & ( ( op2(e20,e21) != e20 )
      | ( op2(e22,e22) != e21 ) )
    & ( ( op2(e20,e21) != e20 )
      | ( op2(e23,e23) != e21 ) )
    & ( ( op2(e20,e22) != e20 )
      | ( op2(e20,e20) != e22 ) )
    & ( ( op2(e20,e22) != e20 )
      | ( op2(e21,e21) != e22 ) )
    & ( ( op2(e20,e22) != e20 )
      | ( op2(e22,e22) != e22 ) )
    & ( ( op2(e20,e22) != e20 )
      | ( op2(e23,e23) != e22 ) )
    & ( ( op2(e20,e23) != e20 )
      | ( op2(e20,e20) != e23 ) )
    & ( ( op2(e20,e23) != e20 )
      | ( op2(e21,e21) != e23 ) )
    & ( ( op2(e20,e23) != e20 )
      | ( op2(e22,e22) != e23 ) )
    & ( ( op2(e20,e23) != e20 )
      | ( op2(e23,e23) != e23 ) )
    & ( ( op2(e21,e20) != e21 )
      | ( op2(e20,e20) != e20 ) )
    & ( ( op2(e21,e20) != e21 )
      | ( op2(e21,e21) != e20 ) )
    & ( ( op2(e21,e20) != e21 )
      | ( op2(e22,e22) != e20 ) )
    & ( ( op2(e21,e20) != e21 )
      | ( op2(e23,e23) != e20 ) )
    & ( ( op2(e21,e21) != e21 )
      | ( op2(e20,e20) != e21 ) )
    & ( ( op2(e21,e21) != e21 )
      | ( op2(e21,e21) != e21 ) )
    & ( ( op2(e21,e21) != e21 )
      | ( op2(e22,e22) != e21 ) )
    & ( ( op2(e21,e21) != e21 )
      | ( op2(e23,e23) != e21 ) )
    & ( ( op2(e21,e22) != e21 )
      | ( op2(e20,e20) != e22 ) )
    & ( ( op2(e21,e22) != e21 )
      | ( op2(e21,e21) != e22 ) )
    & ( ( op2(e21,e22) != e21 )
      | ( op2(e22,e22) != e22 ) )
    & ( ( op2(e21,e22) != e21 )
      | ( op2(e23,e23) != e22 ) )
    & ( ( op2(e21,e23) != e21 )
      | ( op2(e20,e20) != e23 ) )
    & ( ( op2(e21,e23) != e21 )
      | ( op2(e21,e21) != e23 ) )
    & ( ( op2(e21,e23) != e21 )
      | ( op2(e22,e22) != e23 ) )
    & ( ( op2(e21,e23) != e21 )
      | ( op2(e23,e23) != e23 ) )
    & ( ( op2(e22,e20) != e22 )
      | ( op2(e20,e20) != e20 ) )
    & ( ( op2(e22,e20) != e22 )
      | ( op2(e21,e21) != e20 ) )
    & ( ( op2(e22,e20) != e22 )
      | ( op2(e22,e22) != e20 ) )
    & ( ( op2(e22,e20) != e22 )
      | ( op2(e23,e23) != e20 ) )
    & ( ( op2(e22,e21) != e22 )
      | ( op2(e20,e20) != e21 ) )
    & ( ( op2(e22,e21) != e22 )
      | ( op2(e21,e21) != e21 ) )
    & ( ( op2(e22,e21) != e22 )
      | ( op2(e22,e22) != e21 ) )
    & ( ( op2(e22,e21) != e22 )
      | ( op2(e23,e23) != e21 ) )
    & ( ( op2(e22,e22) != e22 )
      | ( op2(e20,e20) != e22 ) )
    & ( ( op2(e22,e22) != e22 )
      | ( op2(e21,e21) != e22 ) )
    & ( ( op2(e22,e22) != e22 )
      | ( op2(e22,e22) != e22 ) )
    & ( ( op2(e22,e22) != e22 )
      | ( op2(e23,e23) != e22 ) )
    & ( ( op2(e22,e23) != e22 )
      | ( op2(e20,e20) != e23 ) )
    & ( ( op2(e22,e23) != e22 )
      | ( op2(e21,e21) != e23 ) )
    & ( ( op2(e22,e23) != e22 )
      | ( op2(e22,e22) != e23 ) )
    & ( ( op2(e22,e23) != e22 )
      | ( op2(e23,e23) != e23 ) )
    & ( ( op2(e23,e20) != e23 )
      | ( op2(e20,e20) != e20 ) )
    & ( ( op2(e23,e20) != e23 )
      | ( op2(e21,e21) != e20 ) )
    & ( ( op2(e23,e20) != e23 )
      | ( op2(e22,e22) != e20 ) )
    & ( ( op2(e23,e20) != e23 )
      | ( op2(e23,e23) != e20 ) )
    & ( ( op2(e23,e21) != e23 )
      | ( op2(e20,e20) != e21 ) )
    & ( ( op2(e23,e21) != e23 )
      | ( op2(e21,e21) != e21 ) )
    & ( ( op2(e23,e21) != e23 )
      | ( op2(e22,e22) != e21 ) )
    & ( ( op2(e23,e21) != e23 )
      | ( op2(e23,e23) != e21 ) )
    & ( ( op2(e23,e22) != e23 )
      | ( op2(e20,e20) != e22 ) )
    & ( ( op2(e23,e22) != e23 )
      | ( op2(e21,e21) != e22 ) )
    & ( ( op2(e23,e22) != e23 )
      | ( op2(e22,e22) != e22 ) )
    & ( ( op2(e23,e22) != e23 )
      | ( op2(e23,e23) != e22 ) )
    & ( ( op2(e23,e23) != e23 )
      | ( op2(e20,e20) != e23 ) )
    & ( ( op2(e23,e23) != e23 )
      | ( op2(e21,e21) != e23 ) )
    & ( ( op2(e23,e23) != e23 )
      | ( op2(e22,e22) != e23 ) )
    & ( ( op2(e23,e23) != e23 )
      | ( op2(e23,e23) != e23 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

tff(f_1953,axiom,
    ( ( h3(e13) = e22 )
    & ( h3(e10) = op2(e22,op2(e22,e22)) )
    & ( h3(e11) = op2(e22,e22) )
    & ( h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

tff(f_1946,axiom,
    ( ( h2(e13) = e21 )
    & ( h2(e10) = op2(e21,op2(e21,e21)) )
    & ( h2(e11) = op2(e21,e21) )
    & ( h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

tff(f_789,axiom,
    ( ( ( op2(e20,e20) = e20 )
      | ( op2(e20,e21) = e20 )
      | ( op2(e20,e22) = e20 )
      | ( op2(e20,e23) = e20 ) )
    & ( ( op2(e20,e20) = e20 )
      | ( op2(e21,e20) = e20 )
      | ( op2(e22,e20) = e20 )
      | ( op2(e23,e20) = e20 ) )
    & ( ( op2(e20,e20) = e21 )
      | ( op2(e20,e21) = e21 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e23) = e21 ) )
    & ( ( op2(e20,e20) = e21 )
      | ( op2(e21,e20) = e21 )
      | ( op2(e22,e20) = e21 )
      | ( op2(e23,e20) = e21 ) )
    & ( ( op2(e20,e20) = e22 )
      | ( op2(e20,e21) = e22 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e23) = e22 ) )
    & ( ( op2(e20,e20) = e22 )
      | ( op2(e21,e20) = e22 )
      | ( op2(e22,e20) = e22 )
      | ( op2(e23,e20) = e22 ) )
    & ( ( op2(e20,e20) = e23 )
      | ( op2(e20,e21) = e23 )
      | ( op2(e20,e22) = e23 )
      | ( op2(e20,e23) = e23 ) )
    & ( ( op2(e20,e20) = e23 )
      | ( op2(e21,e20) = e23 )
      | ( op2(e22,e20) = e23 )
      | ( op2(e23,e20) = e23 ) )
    & ( ( op2(e21,e20) = e20 )
      | ( op2(e21,e21) = e20 )
      | ( op2(e21,e22) = e20 )
      | ( op2(e21,e23) = e20 ) )
    & ( ( op2(e20,e21) = e20 )
      | ( op2(e21,e21) = e20 )
      | ( op2(e22,e21) = e20 )
      | ( op2(e23,e21) = e20 ) )
    & ( ( op2(e21,e20) = e21 )
      | ( op2(e21,e21) = e21 )
      | ( op2(e21,e22) = e21 )
      | ( op2(e21,e23) = e21 ) )
    & ( ( op2(e20,e21) = e21 )
      | ( op2(e21,e21) = e21 )
      | ( op2(e22,e21) = e21 )
      | ( op2(e23,e21) = e21 ) )
    & ( ( op2(e21,e20) = e22 )
      | ( op2(e21,e21) = e22 )
      | ( op2(e21,e22) = e22 )
      | ( op2(e21,e23) = e22 ) )
    & ( ( op2(e20,e21) = e22 )
      | ( op2(e21,e21) = e22 )
      | ( op2(e22,e21) = e22 )
      | ( op2(e23,e21) = e22 ) )
    & ( ( op2(e21,e20) = e23 )
      | ( op2(e21,e21) = e23 )
      | ( op2(e21,e22) = e23 )
      | ( op2(e21,e23) = e23 ) )
    & ( ( op2(e20,e21) = e23 )
      | ( op2(e21,e21) = e23 )
      | ( op2(e22,e21) = e23 )
      | ( op2(e23,e21) = e23 ) )
    & ( ( op2(e22,e20) = e20 )
      | ( op2(e22,e21) = e20 )
      | ( op2(e22,e22) = e20 )
      | ( op2(e22,e23) = e20 ) )
    & ( ( op2(e20,e22) = e20 )
      | ( op2(e21,e22) = e20 )
      | ( op2(e22,e22) = e20 )
      | ( op2(e23,e22) = e20 ) )
    & ( ( op2(e22,e20) = e21 )
      | ( op2(e22,e21) = e21 )
      | ( op2(e22,e22) = e21 )
      | ( op2(e22,e23) = e21 ) )
    & ( ( op2(e20,e22) = e21 )
      | ( op2(e21,e22) = e21 )
      | ( op2(e22,e22) = e21 )
      | ( op2(e23,e22) = e21 ) )
    & ( ( op2(e22,e20) = e22 )
      | ( op2(e22,e21) = e22 )
      | ( op2(e22,e22) = e22 )
      | ( op2(e22,e23) = e22 ) )
    & ( ( op2(e20,e22) = e22 )
      | ( op2(e21,e22) = e22 )
      | ( op2(e22,e22) = e22 )
      | ( op2(e23,e22) = e22 ) )
    & ( ( op2(e22,e20) = e23 )
      | ( op2(e22,e21) = e23 )
      | ( op2(e22,e22) = e23 )
      | ( op2(e22,e23) = e23 ) )
    & ( ( op2(e20,e22) = e23 )
      | ( op2(e21,e22) = e23 )
      | ( op2(e22,e22) = e23 )
      | ( op2(e23,e22) = e23 ) )
    & ( ( op2(e23,e20) = e20 )
      | ( op2(e23,e21) = e20 )
      | ( op2(e23,e22) = e20 )
      | ( op2(e23,e23) = e20 ) )
    & ( ( op2(e20,e23) = e20 )
      | ( op2(e21,e23) = e20 )
      | ( op2(e22,e23) = e20 )
      | ( op2(e23,e23) = e20 ) )
    & ( ( op2(e23,e20) = e21 )
      | ( op2(e23,e21) = e21 )
      | ( op2(e23,e22) = e21 )
      | ( op2(e23,e23) = e21 ) )
    & ( ( op2(e20,e23) = e21 )
      | ( op2(e21,e23) = e21 )
      | ( op2(e22,e23) = e21 )
      | ( op2(e23,e23) = e21 ) )
    & ( ( op2(e23,e20) = e22 )
      | ( op2(e23,e21) = e22 )
      | ( op2(e23,e22) = e22 )
      | ( op2(e23,e23) = e22 ) )
    & ( ( op2(e20,e23) = e22 )
      | ( op2(e21,e23) = e22 )
      | ( op2(e22,e23) = e22 )
      | ( op2(e23,e23) = e22 ) )
    & ( ( op2(e23,e20) = e23 )
      | ( op2(e23,e21) = e23 )
      | ( op2(e23,e22) = e23 )
      | ( op2(e23,e23) = e23 ) )
    & ( ( op2(e20,e23) = e23 )
      | ( op2(e21,e23) = e23 )
      | ( op2(e22,e23) = e23 )
      | ( op2(e23,e23) = e23 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

tff(f_1939,axiom,
    ( ( h1(e13) = e20 )
    & ( h1(e10) = op2(e20,op2(e20,e20)) )
    & ( h1(e11) = op2(e20,e20) )
    & ( h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).

tff(f_1075,axiom,
    ( ( op2(e20,e20) != op2(e21,e20) )
    & ( op2(e20,e20) != op2(e22,e20) )
    & ( op2(e20,e20) != op2(e23,e20) )
    & ( op2(e21,e20) != op2(e22,e20) )
    & ( op2(e21,e20) != op2(e23,e20) )
    & ( op2(e22,e20) != op2(e23,e20) )
    & ( op2(e20,e21) != op2(e21,e21) )
    & ( op2(e20,e21) != op2(e22,e21) )
    & ( op2(e20,e21) != op2(e23,e21) )
    & ( op2(e21,e21) != op2(e22,e21) )
    & ( op2(e21,e21) != op2(e23,e21) )
    & ( op2(e22,e21) != op2(e23,e21) )
    & ( op2(e20,e22) != op2(e21,e22) )
    & ( op2(e20,e22) != op2(e22,e22) )
    & ( op2(e20,e22) != op2(e23,e22) )
    & ( op2(e21,e22) != op2(e22,e22) )
    & ( op2(e21,e22) != op2(e23,e22) )
    & ( op2(e22,e22) != op2(e23,e22) )
    & ( op2(e20,e23) != op2(e21,e23) )
    & ( op2(e20,e23) != op2(e22,e23) )
    & ( op2(e20,e23) != op2(e23,e23) )
    & ( op2(e21,e23) != op2(e22,e23) )
    & ( op2(e21,e23) != op2(e23,e23) )
    & ( op2(e22,e23) != op2(e23,e23) )
    & ( op2(e20,e20) != op2(e20,e21) )
    & ( op2(e20,e20) != op2(e20,e22) )
    & ( op2(e20,e20) != op2(e20,e23) )
    & ( op2(e20,e21) != op2(e20,e22) )
    & ( op2(e20,e21) != op2(e20,e23) )
    & ( op2(e20,e22) != op2(e20,e23) )
    & ( op2(e21,e20) != op2(e21,e21) )
    & ( op2(e21,e20) != op2(e21,e22) )
    & ( op2(e21,e20) != op2(e21,e23) )
    & ( op2(e21,e21) != op2(e21,e22) )
    & ( op2(e21,e21) != op2(e21,e23) )
    & ( op2(e21,e22) != op2(e21,e23) )
    & ( op2(e22,e20) != op2(e22,e21) )
    & ( op2(e22,e20) != op2(e22,e22) )
    & ( op2(e22,e20) != op2(e22,e23) )
    & ( op2(e22,e21) != op2(e22,e22) )
    & ( op2(e22,e21) != op2(e22,e23) )
    & ( op2(e22,e22) != op2(e22,e23) )
    & ( op2(e23,e20) != op2(e23,e21) )
    & ( op2(e23,e20) != op2(e23,e22) )
    & ( op2(e23,e20) != op2(e23,e23) )
    & ( op2(e23,e21) != op2(e23,e22) )
    & ( op2(e23,e21) != op2(e23,e23) )
    & ( op2(e23,e22) != op2(e23,e23) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

tff(f_2216,negated_conjecture,
    ~ ( ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) )
        & ( h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) )
        & ( h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) )
        & ( h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) )
        & ( h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) )
        & ( h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) )
        & ( h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) )
        & ( h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) )
        & ( h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) )
        & ( h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) )
        & ( h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) )
        & ( h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) )
        & ( h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) )
        & ( h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) )
        & ( h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) )
        & ( h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) )
        & ( ( h1(e10) = e20 )
          | ( h1(e11) = e20 )
          | ( h1(e12) = e20 )
          | ( h1(e13) = e20 ) )
        & ( ( h1(e10) = e21 )
          | ( h1(e11) = e21 )
          | ( h1(e12) = e21 )
          | ( h1(e13) = e21 ) )
        & ( ( h1(e10) = e22 )
          | ( h1(e11) = e22 )
          | ( h1(e12) = e22 )
          | ( h1(e13) = e22 ) )
        & ( ( h1(e10) = e23 )
          | ( h1(e11) = e23 )
          | ( h1(e12) = e23 )
          | ( h1(e13) = e23 ) ) )
      | ( ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
        & ( h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) )
        & ( h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) )
        & ( h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) )
        & ( h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) )
        & ( h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) )
        & ( h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) )
        & ( h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) )
        & ( h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) )
        & ( h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) )
        & ( h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) )
        & ( h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) )
        & ( h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) )
        & ( h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) )
        & ( h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) )
        & ( h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) )
        & ( ( h2(e10) = e20 )
          | ( h2(e11) = e20 )
          | ( h2(e12) = e20 )
          | ( h2(e13) = e20 ) )
        & ( ( h2(e10) = e21 )
          | ( h2(e11) = e21 )
          | ( h2(e12) = e21 )
          | ( h2(e13) = e21 ) )
        & ( ( h2(e10) = e22 )
          | ( h2(e11) = e22 )
          | ( h2(e12) = e22 )
          | ( h2(e13) = e22 ) )
        & ( ( h2(e10) = e23 )
          | ( h2(e11) = e23 )
          | ( h2(e12) = e23 )
          | ( h2(e13) = e23 ) ) )
      | ( ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
        & ( h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) )
        & ( h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) )
        & ( h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) )
        & ( h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) )
        & ( h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) )
        & ( h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) )
        & ( h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) )
        & ( h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) )
        & ( h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) )
        & ( h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) )
        & ( h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) )
        & ( h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) )
        & ( h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) )
        & ( h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) )
        & ( h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
        & ( ( h3(e10) = e20 )
          | ( h3(e11) = e20 )
          | ( h3(e12) = e20 )
          | ( h3(e13) = e20 ) )
        & ( ( h3(e10) = e21 )
          | ( h3(e11) = e21 )
          | ( h3(e12) = e21 )
          | ( h3(e13) = e21 ) )
        & ( ( h3(e10) = e22 )
          | ( h3(e11) = e22 )
          | ( h3(e12) = e22 )
          | ( h3(e13) = e22 ) )
        & ( ( h3(e10) = e23 )
          | ( h3(e11) = e23 )
          | ( h3(e12) = e23 )
          | ( h3(e13) = e23 ) ) )
      | ( ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
        & ( h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) )
        & ( h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) )
        & ( h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) )
        & ( h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) )
        & ( h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) )
        & ( h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) )
        & ( h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) )
        & ( h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) )
        & ( h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) )
        & ( h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) )
        & ( h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) )
        & ( h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) )
        & ( h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) )
        & ( h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) )
        & ( h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) )
        & ( ( h4(e10) = e20 )
          | ( h4(e11) = e20 )
          | ( h4(e12) = e20 )
          | ( h4(e13) = e20 ) )
        & ( ( h4(e10) = e21 )
          | ( h4(e11) = e21 )
          | ( h4(e12) = e21 )
          | ( h4(e13) = e21 ) )
        & ( ( h4(e10) = e22 )
          | ( h4(e11) = e22 )
          | ( h4(e12) = e22 )
          | ( h4(e13) = e22 ) )
        & ( ( h4(e10) = e23 )
          | ( h4(e11) = e23 )
          | ( h4(e12) = e23 )
          | ( h4(e13) = e23 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(c_740,plain,
    h4(e13) = e23,
    inference(cnfTransformation,[status(thm)],[f_1960]) ).

tff(c_386,plain,
    e13 != e12,
    inference(cnfTransformation,[status(thm)],[f_1092]) ).

tff(c_700,plain,
    op1(e13,e13) = e11,
    inference(cnfTransformation,[status(thm)],[f_1927]) ).

tff(c_442,plain,
    op1(e13,e13) != e13,
    inference(cnfTransformation,[status(thm)],[f_1539]) ).

tff(c_6298,plain,
    e13 != e11,
    inference(demodulation,[status(thm),theory(equality)],[c_700,c_442]) ).

tff(c_702,plain,
    op1(e13,op1(e13,e13)) = e10,
    inference(cnfTransformation,[status(thm)],[f_1927]) ).

tff(c_5214,plain,
    op1(e13,e11) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_700,c_702]) ).

tff(c_458,plain,
    ( ( op1(e13,e13) != e11 )
    | ( op1(e13,e11) != e13 ) ),
    inference(cnfTransformation,[status(thm)],[f_1539]) ).

tff(c_6293,plain,
    e13 != e10,
    inference(demodulation,[status(thm),theory(equality)],[c_5214,c_700,c_458]) ).

tff(c_390,plain,
    e12 != e11,
    inference(cnfTransformation,[status(thm)],[f_1092]) ).

tff(c_484,plain,
    op1(e12,e12) != e12,
    inference(cnfTransformation,[status(thm)],[f_1539]) ).

tff(c_698,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = e12,
    inference(cnfTransformation,[status(thm)],[f_1927]) ).

tff(c_5814,plain,
    op1(e10,e11) = e12,
    inference(demodulation,[status(thm),theory(equality)],[c_5214,c_700,c_700,c_698]) ).

tff(c_526,plain,
    op1(e11,e11) != e11,
    inference(cnfTransformation,[status(thm)],[f_1539]) ).

tff(c_396,plain,
    e11 != e10,
    inference(cnfTransformation,[status(thm)],[f_1092]) ).

tff(c_74,plain,
    ( ( op1(e13,e11) = e11 )
    | ( op1(e12,e11) = e11 )
    | ( op1(e11,e11) = e11 )
    | ( op1(e10,e11) = e11 ) ),
    inference(cnfTransformation,[status(thm)],[f_407]) ).

tff(c_6726,plain,
    ( ( e11 = e10 )
    | ( op1(e12,e11) = e11 )
    | ( op1(e11,e11) = e11 )
    | ( e12 = e11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5814,c_5214,c_74]) ).

tff(c_6727,plain,
    op1(e12,e11) = e11,
    inference(negUnitSimplification,[status(thm)],[c_390,c_526,c_396,c_6726]) ).

tff(c_66,plain,
    ( ( op1(e13,e11) = e13 )
    | ( op1(e12,e11) = e13 )
    | ( op1(e11,e11) = e13 )
    | ( op1(e10,e11) = e13 ) ),
    inference(cnfTransformation,[status(thm)],[f_407]) ).

tff(c_6744,plain,
    ( ( e13 = e10 )
    | ( e13 = e11 )
    | ( op1(e11,e11) = e13 )
    | ( e13 = e12 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5814,c_6727,c_5214,c_66]) ).

tff(c_6745,plain,
    op1(e11,e11) = e13,
    inference(negUnitSimplification,[status(thm)],[c_386,c_6298,c_6293,c_6744]) ).

tff(c_478,plain,
    ( ( op1(e11,e11) != e13 )
    | ( op1(e12,e13) != e12 ) ),
    inference(cnfTransformation,[status(thm)],[f_1539]) ).

tff(c_6750,plain,
    op1(e12,e13) != e12,
    inference(demodulation,[status(thm),theory(equality)],[c_6745,c_478]) ).

tff(c_56,plain,
    ( ( op1(e12,e13) = e12 )
    | ( op1(e12,e12) = e12 )
    | ( op1(e12,e11) = e12 )
    | ( op1(e12,e10) = e12 ) ),
    inference(cnfTransformation,[status(thm)],[f_407]) ).

tff(c_6821,plain,
    ( ( op1(e12,e13) = e12 )
    | ( op1(e12,e12) = e12 )
    | ( e12 = e11 )
    | ( op1(e12,e10) = e12 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6727,c_56]) ).

tff(c_6822,plain,
    op1(e12,e10) = e12,
    inference(negUnitSimplification,[status(thm)],[c_390,c_484,c_6750,c_6821]) ).

tff(c_554,plain,
    ( ( op1(e13,e13) != e11 )
    | ( op1(e10,e11) != e10 ) ),
    inference(cnfTransformation,[status(thm)],[f_1539]) ).

tff(c_6275,plain,
    e12 != e10,
    inference(demodulation,[status(thm),theory(equality)],[c_5814,c_700,c_554]) ).

tff(c_542,plain,
    ( ( op1(e11,e11) != e13 )
    | ( op1(e10,e13) != e10 ) ),
    inference(cnfTransformation,[status(thm)],[f_1539]) ).

tff(c_6753,plain,
    op1(e10,e13) != e10,
    inference(demodulation,[status(thm),theory(equality)],[c_6745,c_542]) ).

tff(c_568,plain,
    op1(e10,e10) != e10,
    inference(cnfTransformation,[status(thm)],[f_1539]) ).

tff(c_96,plain,
    ( ( op1(e10,e13) = e10 )
    | ( op1(e10,e12) = e10 )
    | ( op1(e10,e11) = e10 )
    | ( op1(e10,e10) = e10 ) ),
    inference(cnfTransformation,[status(thm)],[f_407]) ).

tff(c_6711,plain,
    ( ( op1(e10,e13) = e10 )
    | ( op1(e10,e12) = e10 )
    | ( e12 = e10 )
    | ( op1(e10,e10) = e10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5814,c_96]) ).

tff(c_6712,plain,
    ( ( op1(e10,e13) = e10 )
    | ( op1(e10,e12) = e10 ) ),
    inference(negUnitSimplification,[status(thm)],[c_568,c_6275,c_6711]) ).

tff(c_6759,plain,
    op1(e10,e12) = e10,
    inference(negUnitSimplification,[status(thm)],[c_6753,c_6712]) ).

tff(c_262,plain,
    op1(e12,e12) != op1(e10,e12),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_6767,plain,
    op1(e12,e12) != e10,
    inference(demodulation,[status(thm),theory(equality)],[c_6759,c_262]) ).

tff(c_64,plain,
    ( ( op1(e12,e13) = e10 )
    | ( op1(e12,e12) = e10 )
    | ( op1(e12,e11) = e10 )
    | ( op1(e12,e10) = e10 ) ),
    inference(cnfTransformation,[status(thm)],[f_407]) ).

tff(c_6813,plain,
    ( ( op1(e12,e13) = e10 )
    | ( op1(e12,e12) = e10 )
    | ( e11 = e10 )
    | ( op1(e12,e10) = e10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6727,c_64]) ).

tff(c_6814,plain,
    ( ( op1(e12,e13) = e10 )
    | ( op1(e12,e10) = e10 ) ),
    inference(negUnitSimplification,[status(thm)],[c_396,c_6767,c_6813]) ).

tff(c_6833,plain,
    ( ( op1(e12,e13) = e10 )
    | ( e12 = e10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6822,c_6814]) ).

tff(c_6851,plain,
    op1(e12,e13) = e10,
    inference(negUnitSimplification,[status(thm)],[c_6275,c_6833]) ).

tff(c_52,plain,
    ( ( op1(e12,e13) = e13 )
    | ( op1(e12,e12) = e13 )
    | ( op1(e12,e11) = e13 )
    | ( op1(e12,e10) = e13 ) ),
    inference(cnfTransformation,[status(thm)],[f_407]) ).

tff(c_6880,plain,
    ( ( e13 = e10 )
    | ( op1(e12,e12) = e13 )
    | ( e13 = e11 )
    | ( e13 = e12 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6822,c_6727,c_6851,c_52]) ).

tff(c_6881,plain,
    op1(e12,e12) = e13,
    inference(negUnitSimplification,[status(thm)],[c_386,c_6298,c_6293,c_6880]) ).

tff(c_706,plain,
    op2(e23,e23) = e21,
    inference(cnfTransformation,[status(thm)],[f_1932]) ).

tff(c_736,plain,
    op2(e23,e23) = h4(e11),
    inference(cnfTransformation,[status(thm)],[f_1960]) ).

tff(c_4992,plain,
    h4(e11) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_706,c_736]) ).

tff(c_738,plain,
    op2(e23,op2(e23,e23)) = h4(e10),
    inference(cnfTransformation,[status(thm)],[f_1960]) ).

tff(c_3110,plain,
    op2(e23,h4(e11)) = h4(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_736,c_738]) ).

tff(c_708,plain,
    op2(e23,op2(e23,e23)) = e20,
    inference(cnfTransformation,[status(thm)],[f_1932]) ).

tff(c_4845,plain,
    h4(e10) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_3110,c_736,c_708]) ).

tff(c_734,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = h4(e12),
    inference(cnfTransformation,[status(thm)],[f_1960]) ).

tff(c_3238,plain,
    op2(h4(e10),h4(e11)) = h4(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_3110,c_736,c_736,c_734]) ).

tff(c_4848,plain,
    op2(e20,h4(e11)) = h4(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_4845,c_3238]) ).

tff(c_4993,plain,
    op2(e20,e21) = h4(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_4992,c_4848]) ).

tff(c_4846,plain,
    op2(e23,h4(e11)) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_4845,c_3110]) ).

tff(c_4994,plain,
    op2(e23,e21) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_4992,c_4846]) ).

tff(c_704,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22,
    inference(cnfTransformation,[status(thm)],[f_1932]) ).

tff(c_5031,plain,
    h4(e12) = e22,
    inference(demodulation,[status(thm),theory(equality)],[c_4993,c_4994,c_706,c_706,c_704]) ).

tff(c_248,plain,
    op1(e13,e13) != op1(e10,e13),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_6335,plain,
    op1(e10,e13) != e11,
    inference(demodulation,[status(thm),theory(equality)],[c_700,c_248]) ).

tff(c_92,plain,
    ( ( op1(e10,e13) = e11 )
    | ( op1(e10,e12) = e11 )
    | ( op1(e10,e11) = e11 )
    | ( op1(e10,e10) = e11 ) ),
    inference(cnfTransformation,[status(thm)],[f_407]) ).

tff(c_6714,plain,
    ( ( op1(e10,e13) = e11 )
    | ( op1(e10,e12) = e11 )
    | ( e12 = e11 )
    | ( op1(e10,e10) = e11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5814,c_92]) ).

tff(c_6715,plain,
    ( ( op1(e10,e12) = e11 )
    | ( op1(e10,e10) = e11 ) ),
    inference(negUnitSimplification,[status(thm)],[c_390,c_6335,c_6714]) ).

tff(c_6771,plain,
    ( ( e11 = e10 )
    | ( op1(e10,e10) = e11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6759,c_6715]) ).

tff(c_6776,plain,
    op1(e10,e10) = e11,
    inference(negUnitSimplification,[status(thm)],[c_396,c_6771]) ).

tff(c_288,plain,
    op1(e11,e10) != op1(e10,e10),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_6778,plain,
    op1(e11,e10) != e11,
    inference(demodulation,[status(thm),theory(equality)],[c_6776,c_288]) ).

tff(c_244,plain,
    op1(e13,e13) != op1(e11,e13),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_6336,plain,
    op1(e11,e13) != e11,
    inference(demodulation,[status(thm),theory(equality)],[c_700,c_244]) ).

tff(c_76,plain,
    ( ( op1(e11,e13) = e11 )
    | ( op1(e11,e12) = e11 )
    | ( op1(e11,e11) = e11 )
    | ( op1(e11,e10) = e11 ) ),
    inference(cnfTransformation,[status(thm)],[f_407]) ).

tff(c_6725,plain,
    ( ( op1(e11,e12) = e11 )
    | ( op1(e11,e10) = e11 ) ),
    inference(negUnitSimplification,[status(thm)],[c_526,c_6336,c_76]) ).

tff(c_6796,plain,
    op1(e11,e12) = e11,
    inference(negUnitSimplification,[status(thm)],[c_6778,c_6725]) ).

tff(c_54,plain,
    ( ( op1(e13,e12) = e12 )
    | ( op1(e12,e12) = e12 )
    | ( op1(e11,e12) = e12 )
    | ( op1(e10,e12) = e12 ) ),
    inference(cnfTransformation,[status(thm)],[f_407]) ).

tff(c_6868,plain,
    ( ( op1(e13,e12) = e12 )
    | ( op1(e12,e12) = e12 )
    | ( e12 = e11 )
    | ( e12 = e10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6759,c_6796,c_54]) ).

tff(c_6869,plain,
    op1(e13,e12) = e12,
    inference(negUnitSimplification,[status(thm)],[c_6275,c_390,c_484,c_6868]) ).

tff(c_282,plain,
    op1(e12,e10) != op1(e11,e10),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_6823,plain,
    op1(e11,e10) != e12,
    inference(demodulation,[status(thm),theory(equality)],[c_6822,c_282]) ).

tff(c_276,plain,
    op1(e11,e11) != op1(e10,e11),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_6330,plain,
    op1(e11,e11) != e12,
    inference(demodulation,[status(thm),theory(equality)],[c_5814,c_276]) ).

tff(c_72,plain,
    ( ( op1(e11,e13) = e12 )
    | ( op1(e11,e12) = e12 )
    | ( op1(e11,e11) = e12 )
    | ( op1(e11,e10) = e12 ) ),
    inference(cnfTransformation,[status(thm)],[f_407]) ).

tff(c_6741,plain,
    ( ( op1(e11,e13) = e12 )
    | ( op1(e11,e12) = e12 )
    | ( op1(e11,e10) = e12 ) ),
    inference(negUnitSimplification,[status(thm)],[c_6330,c_72]) ).

tff(c_6803,plain,
    ( ( op1(e11,e13) = e12 )
    | ( e12 = e11 )
    | ( op1(e11,e10) = e12 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6796,c_6741]) ).

tff(c_6808,plain,
    ( ( op1(e11,e13) = e12 )
    | ( op1(e11,e10) = e12 ) ),
    inference(negUnitSimplification,[status(thm)],[c_390,c_6803]) ).

tff(c_6834,plain,
    op1(e11,e13) = e12,
    inference(negUnitSimplification,[status(thm)],[c_6823,c_6808]) ).

tff(c_204,plain,
    op1(e13,e11) != op1(e13,e10),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_6341,plain,
    op1(e13,e10) != e10,
    inference(demodulation,[status(thm),theory(equality)],[c_5214,c_204]) ).

tff(c_94,plain,
    ( ( op1(e13,e10) = e10 )
    | ( op1(e12,e10) = e10 )
    | ( op1(e11,e10) = e10 )
    | ( op1(e10,e10) = e10 ) ),
    inference(cnfTransformation,[status(thm)],[f_407]) ).

tff(c_6713,plain,
    ( ( op1(e12,e10) = e10 )
    | ( op1(e11,e10) = e10 ) ),
    inference(negUnitSimplification,[status(thm)],[c_568,c_6341,c_94]) ).

tff(c_6827,plain,
    ( ( e12 = e10 )
    | ( op1(e11,e10) = e10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6822,c_6713]) ).

tff(c_6835,plain,
    op1(e11,e10) = e10,
    inference(negUnitSimplification,[status(thm)],[c_6275,c_6827]) ).

tff(c_228,plain,
    op1(e11,e11) != op1(e11,e10),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_6755,plain,
    op1(e11,e10) != e13,
    inference(demodulation,[status(thm),theory(equality)],[c_6745,c_228]) ).

tff(c_82,plain,
    ( ( op1(e13,e10) = e13 )
    | ( op1(e12,e10) = e13 )
    | ( op1(e11,e10) = e13 )
    | ( op1(e10,e10) = e13 ) ),
    inference(cnfTransformation,[status(thm)],[f_407]) ).

tff(c_6760,plain,
    ( ( op1(e13,e10) = e13 )
    | ( op1(e12,e10) = e13 )
    | ( op1(e10,e10) = e13 ) ),
    inference(negUnitSimplification,[status(thm)],[c_6755,c_82]) ).

tff(c_6784,plain,
    ( ( op1(e13,e10) = e13 )
    | ( op1(e12,e10) = e13 )
    | ( e13 = e11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6776,c_6760]) ).

tff(c_6798,plain,
    ( ( op1(e13,e10) = e13 )
    | ( op1(e12,e10) = e13 ) ),
    inference(negUnitSimplification,[status(thm)],[c_6298,c_6784]) ).

tff(c_6830,plain,
    ( ( op1(e13,e10) = e13 )
    | ( e13 = e12 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6822,c_6798]) ).

tff(c_6842,plain,
    op1(e13,e10) = e13,
    inference(negUnitSimplification,[status(thm)],[c_386,c_6830]) ).

tff(c_84,plain,
    ( ( op1(e10,e13) = e13 )
    | ( op1(e10,e12) = e13 )
    | ( op1(e10,e11) = e13 )
    | ( op1(e10,e10) = e13 ) ),
    inference(cnfTransformation,[status(thm)],[f_407]) ).

tff(c_6720,plain,
    ( ( op1(e10,e13) = e13 )
    | ( op1(e10,e12) = e13 )
    | ( e13 = e12 )
    | ( op1(e10,e10) = e13 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5814,c_84]) ).

tff(c_6721,plain,
    ( ( op1(e10,e13) = e13 )
    | ( op1(e10,e12) = e13 )
    | ( op1(e10,e10) = e13 ) ),
    inference(negUnitSimplification,[status(thm)],[c_386,c_6720]) ).

tff(c_6772,plain,
    ( ( op1(e10,e13) = e13 )
    | ( e13 = e10 )
    | ( op1(e10,e10) = e13 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6759,c_6721]) ).

tff(c_6785,plain,
    ( ( op1(e10,e13) = e13 )
    | ( e13 = e10 )
    | ( e13 = e11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6776,c_6772]) ).

tff(c_6786,plain,
    op1(e10,e13) = e13,
    inference(negUnitSimplification,[status(thm)],[c_6298,c_6293,c_6785]) ).

tff(c_398,plain,
    e23 != e22,
    inference(cnfTransformation,[status(thm)],[f_1109]) ).

tff(c_570,plain,
    op2(e23,e23) != e23,
    inference(cnfTransformation,[status(thm)],[f_1922]) ).

tff(c_6269,plain,
    e23 != e21,
    inference(demodulation,[status(thm),theory(equality)],[c_706,c_570]) ).

tff(c_586,plain,
    ( ( op2(e23,e23) != e21 )
    | ( op2(e23,e21) != e23 ) ),
    inference(cnfTransformation,[status(thm)],[f_1922]) ).

tff(c_6261,plain,
    e23 != e20,
    inference(demodulation,[status(thm),theory(equality)],[c_4994,c_706,c_586]) ).

tff(c_402,plain,
    e22 != e21,
    inference(cnfTransformation,[status(thm)],[f_1109]) ).

tff(c_728,plain,
    op2(e22,e22) = h3(e11),
    inference(cnfTransformation,[status(thm)],[f_1953]) ).

tff(c_612,plain,
    op2(e22,e22) != e22,
    inference(cnfTransformation,[status(thm)],[f_1922]) ).

tff(c_6247,plain,
    h3(e11) != e22,
    inference(demodulation,[status(thm),theory(equality)],[c_728,c_612]) ).

tff(c_5033,plain,
    op2(e20,e21) = e22,
    inference(demodulation,[status(thm),theory(equality)],[c_5031,c_4993]) ).

tff(c_720,plain,
    op2(e21,e21) = h2(e11),
    inference(cnfTransformation,[status(thm)],[f_1946]) ).

tff(c_654,plain,
    op2(e21,e21) != e21,
    inference(cnfTransformation,[status(thm)],[f_1922]) ).

tff(c_6224,plain,
    h2(e11) != e21,
    inference(demodulation,[status(thm),theory(equality)],[c_720,c_654]) ).

tff(c_408,plain,
    e21 != e20,
    inference(cnfTransformation,[status(thm)],[f_1109]) ).

tff(c_170,plain,
    ( ( op2(e23,e21) = e21 )
    | ( op2(e22,e21) = e21 )
    | ( op2(e21,e21) = e21 )
    | ( op2(e20,e21) = e21 ) ),
    inference(cnfTransformation,[status(thm)],[f_789]) ).

tff(c_6367,plain,
    ( ( e21 = e20 )
    | ( op2(e22,e21) = e21 )
    | ( h2(e11) = e21 )
    | ( e22 = e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5033,c_720,c_4994,c_170]) ).

tff(c_6368,plain,
    op2(e22,e21) = e21,
    inference(negUnitSimplification,[status(thm)],[c_402,c_6224,c_408,c_6367]) ).

tff(c_162,plain,
    ( ( op2(e23,e21) = e23 )
    | ( op2(e22,e21) = e23 )
    | ( op2(e21,e21) = e23 )
    | ( op2(e20,e21) = e23 ) ),
    inference(cnfTransformation,[status(thm)],[f_789]) ).

tff(c_6382,plain,
    ( ( e23 = e20 )
    | ( e23 = e21 )
    | ( h2(e11) = e23 )
    | ( e23 = e22 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5033,c_720,c_6368,c_4994,c_162]) ).

tff(c_6383,plain,
    h2(e11) = e23,
    inference(negUnitSimplification,[status(thm)],[c_398,c_6269,c_6261,c_6382]) ).

tff(c_606,plain,
    ( ( op2(e21,e21) != e23 )
    | ( op2(e22,e23) != e22 ) ),
    inference(cnfTransformation,[status(thm)],[f_1922]) ).

tff(c_6250,plain,
    ( ( h2(e11) != e23 )
    | ( op2(e22,e23) != e22 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_720,c_606]) ).

tff(c_6408,plain,
    op2(e22,e23) != e22,
    inference(demodulation,[status(thm),theory(equality)],[c_6383,c_6250]) ).

tff(c_152,plain,
    ( ( op2(e22,e23) = e22 )
    | ( op2(e22,e22) = e22 )
    | ( op2(e22,e21) = e22 )
    | ( op2(e22,e20) = e22 ) ),
    inference(cnfTransformation,[status(thm)],[f_789]) ).

tff(c_6546,plain,
    ( ( op2(e22,e23) = e22 )
    | ( h3(e11) = e22 )
    | ( e22 = e21 )
    | ( op2(e22,e20) = e22 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6368,c_728,c_152]) ).

tff(c_6547,plain,
    op2(e22,e20) = e22,
    inference(negUnitSimplification,[status(thm)],[c_402,c_6247,c_6408,c_6546]) ).

tff(c_682,plain,
    ( ( op2(e23,e23) != e21 )
    | ( op2(e20,e21) != e20 ) ),
    inference(cnfTransformation,[status(thm)],[f_1922]) ).

tff(c_6210,plain,
    e22 != e20,
    inference(demodulation,[status(thm),theory(equality)],[c_5033,c_706,c_682]) ).

tff(c_670,plain,
    ( ( op2(e21,e21) != e23 )
    | ( op2(e20,e23) != e20 ) ),
    inference(cnfTransformation,[status(thm)],[f_1922]) ).

tff(c_6216,plain,
    ( ( h2(e11) != e23 )
    | ( op2(e20,e23) != e20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_720,c_670]) ).

tff(c_6403,plain,
    op2(e20,e23) != e20,
    inference(demodulation,[status(thm),theory(equality)],[c_6383,c_6216]) ).

tff(c_712,plain,
    op2(e20,e20) = h1(e11),
    inference(cnfTransformation,[status(thm)],[f_1939]) ).

tff(c_696,plain,
    op2(e20,e20) != e20,
    inference(cnfTransformation,[status(thm)],[f_1922]) ).

tff(c_6202,plain,
    h1(e11) != e20,
    inference(demodulation,[status(thm),theory(equality)],[c_712,c_696]) ).

tff(c_192,plain,
    ( ( op2(e20,e23) = e20 )
    | ( op2(e20,e22) = e20 )
    | ( op2(e20,e21) = e20 )
    | ( op2(e20,e20) = e20 ) ),
    inference(cnfTransformation,[status(thm)],[f_789]) ).

tff(c_6346,plain,
    ( ( op2(e20,e23) = e20 )
    | ( op2(e20,e22) = e20 )
    | ( e22 = e20 )
    | ( h1(e11) = e20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_712,c_5033,c_192]) ).

tff(c_6347,plain,
    ( ( op2(e20,e23) = e20 )
    | ( op2(e20,e22) = e20 ) ),
    inference(negUnitSimplification,[status(thm)],[c_6202,c_6210,c_6346]) ).

tff(c_6431,plain,
    op2(e20,e22) = e20,
    inference(negUnitSimplification,[status(thm)],[c_6403,c_6347]) ).

tff(c_358,plain,
    op2(e22,e22) != op2(e20,e22),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_6308,plain,
    op2(e20,e22) != h3(e11),
    inference(demodulation,[status(thm),theory(equality)],[c_728,c_358]) ).

tff(c_6440,plain,
    h3(e11) != e20,
    inference(demodulation,[status(thm),theory(equality)],[c_6431,c_6308]) ).

tff(c_160,plain,
    ( ( op2(e22,e23) = e20 )
    | ( op2(e22,e22) = e20 )
    | ( op2(e22,e21) = e20 )
    | ( op2(e22,e20) = e20 ) ),
    inference(cnfTransformation,[status(thm)],[f_789]) ).

tff(c_6538,plain,
    ( ( op2(e22,e23) = e20 )
    | ( h3(e11) = e20 )
    | ( e21 = e20 )
    | ( op2(e22,e20) = e20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6368,c_728,c_160]) ).

tff(c_6539,plain,
    ( ( op2(e22,e23) = e20 )
    | ( op2(e22,e20) = e20 ) ),
    inference(negUnitSimplification,[status(thm)],[c_408,c_6440,c_6538]) ).

tff(c_6557,plain,
    ( ( op2(e22,e23) = e20 )
    | ( e22 = e20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6547,c_6539]) ).

tff(c_6572,plain,
    op2(e22,e23) = e20,
    inference(negUnitSimplification,[status(thm)],[c_6210,c_6557]) ).

tff(c_148,plain,
    ( ( op2(e22,e23) = e23 )
    | ( op2(e22,e22) = e23 )
    | ( op2(e22,e21) = e23 )
    | ( op2(e22,e20) = e23 ) ),
    inference(cnfTransformation,[status(thm)],[f_789]) ).

tff(c_6608,plain,
    ( ( e23 = e20 )
    | ( h3(e11) = e23 )
    | ( e23 = e21 )
    | ( e23 = e22 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6547,c_6368,c_728,c_6572,c_148]) ).

tff(c_6609,plain,
    h3(e11) = e23,
    inference(negUnitSimplification,[status(thm)],[c_398,c_6269,c_6261,c_6608]) ).

tff(c_344,plain,
    op2(e23,e23) != op2(e20,e23),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_6311,plain,
    op2(e20,e23) != e21,
    inference(demodulation,[status(thm),theory(equality)],[c_706,c_344]) ).

tff(c_188,plain,
    ( ( op2(e20,e23) = e21 )
    | ( op2(e20,e22) = e21 )
    | ( op2(e20,e21) = e21 )
    | ( op2(e20,e20) = e21 ) ),
    inference(cnfTransformation,[status(thm)],[f_789]) ).

tff(c_6350,plain,
    ( ( op2(e20,e23) = e21 )
    | ( op2(e20,e22) = e21 )
    | ( e22 = e21 )
    | ( h1(e11) = e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_712,c_5033,c_188]) ).

tff(c_6351,plain,
    ( ( op2(e20,e22) = e21 )
    | ( h1(e11) = e21 ) ),
    inference(negUnitSimplification,[status(thm)],[c_402,c_6311,c_6350]) ).

tff(c_6444,plain,
    ( ( e21 = e20 )
    | ( h1(e11) = e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6431,c_6351]) ).

tff(c_6448,plain,
    h1(e11) = e21,
    inference(negUnitSimplification,[status(thm)],[c_408,c_6444]) ).

tff(c_384,plain,
    op2(e21,e20) != op2(e20,e20),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_6299,plain,
    op2(e21,e20) != h1(e11),
    inference(demodulation,[status(thm),theory(equality)],[c_712,c_384]) ).

tff(c_6452,plain,
    op2(e21,e20) != e21,
    inference(demodulation,[status(thm),theory(equality)],[c_6448,c_6299]) ).

tff(c_340,plain,
    op2(e23,e23) != op2(e21,e23),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_6312,plain,
    op2(e21,e23) != e21,
    inference(demodulation,[status(thm),theory(equality)],[c_706,c_340]) ).

tff(c_172,plain,
    ( ( op2(e21,e23) = e21 )
    | ( op2(e21,e22) = e21 )
    | ( op2(e21,e21) = e21 )
    | ( op2(e21,e20) = e21 ) ),
    inference(cnfTransformation,[status(thm)],[f_789]) ).

tff(c_6365,plain,
    ( ( op2(e21,e23) = e21 )
    | ( op2(e21,e22) = e21 )
    | ( h2(e11) = e21 )
    | ( op2(e21,e20) = e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_720,c_172]) ).

tff(c_6366,plain,
    ( ( op2(e21,e22) = e21 )
    | ( op2(e21,e20) = e21 ) ),
    inference(negUnitSimplification,[status(thm)],[c_6224,c_6312,c_6365]) ).

tff(c_6493,plain,
    op2(e21,e22) = e21,
    inference(negUnitSimplification,[status(thm)],[c_6452,c_6366]) ).

tff(c_150,plain,
    ( ( op2(e23,e22) = e22 )
    | ( op2(e22,e22) = e22 )
    | ( op2(e21,e22) = e22 )
    | ( op2(e20,e22) = e22 ) ),
    inference(cnfTransformation,[status(thm)],[f_789]) ).

tff(c_6600,plain,
    ( ( op2(e23,e22) = e22 )
    | ( h3(e11) = e22 )
    | ( e22 = e21 )
    | ( e22 = e20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6431,c_6493,c_728,c_150]) ).

tff(c_6601,plain,
    op2(e23,e22) = e22,
    inference(negUnitSimplification,[status(thm)],[c_6210,c_402,c_6247,c_6600]) ).

tff(c_378,plain,
    op2(e22,e20) != op2(e21,e20),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_6548,plain,
    op2(e21,e20) != e22,
    inference(demodulation,[status(thm),theory(equality)],[c_6547,c_378]) ).

tff(c_722,plain,
    op2(e21,op2(e21,e21)) = h2(e10),
    inference(cnfTransformation,[status(thm)],[f_1946]) ).

tff(c_4137,plain,
    op2(e21,h2(e11)) = h2(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_720,c_722]) ).

tff(c_6385,plain,
    op2(e21,e23) = h2(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_6383,c_4137]) ).

tff(c_372,plain,
    op2(e21,e21) != op2(e20,e21),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_6302,plain,
    h2(e11) != e22,
    inference(demodulation,[status(thm),theory(equality)],[c_5033,c_720,c_372]) ).

tff(c_168,plain,
    ( ( op2(e21,e23) = e22 )
    | ( op2(e21,e22) = e22 )
    | ( op2(e21,e21) = e22 )
    | ( op2(e21,e20) = e22 ) ),
    inference(cnfTransformation,[status(thm)],[f_789]) ).

tff(c_6377,plain,
    ( ( op2(e21,e23) = e22 )
    | ( op2(e21,e22) = e22 )
    | ( h2(e11) = e22 )
    | ( op2(e21,e20) = e22 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_720,c_168]) ).

tff(c_6378,plain,
    ( ( op2(e21,e23) = e22 )
    | ( op2(e21,e22) = e22 )
    | ( op2(e21,e20) = e22 ) ),
    inference(negUnitSimplification,[status(thm)],[c_6302,c_6377]) ).

tff(c_6421,plain,
    ( ( h2(e10) = e22 )
    | ( op2(e21,e22) = e22 )
    | ( op2(e21,e20) = e22 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6385,c_6378]) ).

tff(c_6530,plain,
    ( ( h2(e10) = e22 )
    | ( e22 = e21 )
    | ( op2(e21,e20) = e22 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6493,c_6421]) ).

tff(c_6537,plain,
    ( ( h2(e10) = e22 )
    | ( op2(e21,e20) = e22 ) ),
    inference(negUnitSimplification,[status(thm)],[c_402,c_6530]) ).

tff(c_6558,plain,
    h2(e10) = e22,
    inference(negUnitSimplification,[status(thm)],[c_6548,c_6537]) ).

tff(c_300,plain,
    op2(e23,e21) != op2(e23,e20),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_6325,plain,
    op2(e23,e20) != e20,
    inference(demodulation,[status(thm),theory(equality)],[c_4994,c_300]) ).

tff(c_190,plain,
    ( ( op2(e23,e20) = e20 )
    | ( op2(e22,e20) = e20 )
    | ( op2(e21,e20) = e20 )
    | ( op2(e20,e20) = e20 ) ),
    inference(cnfTransformation,[status(thm)],[f_789]) ).

tff(c_6348,plain,
    ( ( op2(e23,e20) = e20 )
    | ( op2(e22,e20) = e20 )
    | ( op2(e21,e20) = e20 )
    | ( h1(e11) = e20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_712,c_190]) ).

tff(c_6349,plain,
    ( ( op2(e22,e20) = e20 )
    | ( op2(e21,e20) = e20 ) ),
    inference(negUnitSimplification,[status(thm)],[c_6202,c_6325,c_6348]) ).

tff(c_6553,plain,
    ( ( e22 = e20 )
    | ( op2(e21,e20) = e20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6547,c_6349]) ).

tff(c_6559,plain,
    op2(e21,e20) = e20,
    inference(negUnitSimplification,[status(thm)],[c_6210,c_6553]) ).

tff(c_324,plain,
    op2(e21,e21) != op2(e21,e20),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_6319,plain,
    op2(e21,e20) != h2(e11),
    inference(demodulation,[status(thm),theory(equality)],[c_720,c_324]) ).

tff(c_6398,plain,
    op2(e21,e20) != e23,
    inference(demodulation,[status(thm),theory(equality)],[c_6383,c_6319]) ).

tff(c_178,plain,
    ( ( op2(e23,e20) = e23 )
    | ( op2(e22,e20) = e23 )
    | ( op2(e21,e20) = e23 )
    | ( op2(e20,e20) = e23 ) ),
    inference(cnfTransformation,[status(thm)],[f_789]) ).

tff(c_6360,plain,
    ( ( op2(e23,e20) = e23 )
    | ( op2(e22,e20) = e23 )
    | ( op2(e21,e20) = e23 )
    | ( h1(e11) = e23 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_712,c_178]) ).

tff(c_6428,plain,
    ( ( op2(e23,e20) = e23 )
    | ( op2(e22,e20) = e23 )
    | ( h1(e11) = e23 ) ),
    inference(negUnitSimplification,[status(thm)],[c_6398,c_6360]) ).

tff(c_6483,plain,
    ( ( op2(e23,e20) = e23 )
    | ( op2(e22,e20) = e23 )
    | ( e23 = e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6448,c_6428]) ).

tff(c_6527,plain,
    ( ( op2(e23,e20) = e23 )
    | ( op2(e22,e20) = e23 ) ),
    inference(negUnitSimplification,[status(thm)],[c_6269,c_6483]) ).

tff(c_6555,plain,
    ( ( op2(e23,e20) = e23 )
    | ( e23 = e22 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6547,c_6527]) ).

tff(c_6566,plain,
    op2(e23,e20) = e23,
    inference(negUnitSimplification,[status(thm)],[c_398,c_6555]) ).

tff(c_180,plain,
    ( ( op2(e20,e23) = e23 )
    | ( op2(e20,e22) = e23 )
    | ( op2(e20,e21) = e23 )
    | ( op2(e20,e20) = e23 ) ),
    inference(cnfTransformation,[status(thm)],[f_789]) ).

tff(c_6358,plain,
    ( ( op2(e20,e23) = e23 )
    | ( op2(e20,e22) = e23 )
    | ( e23 = e22 )
    | ( h1(e11) = e23 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_712,c_5033,c_180]) ).

tff(c_6359,plain,
    ( ( op2(e20,e23) = e23 )
    | ( op2(e20,e22) = e23 )
    | ( h1(e11) = e23 ) ),
    inference(negUnitSimplification,[status(thm)],[c_398,c_6358]) ).

tff(c_6445,plain,
    ( ( op2(e20,e23) = e23 )
    | ( e23 = e20 )
    | ( h1(e11) = e23 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6431,c_6359]) ).

tff(c_6484,plain,
    ( ( op2(e20,e23) = e23 )
    | ( e23 = e20 )
    | ( e23 = e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6448,c_6445]) ).

tff(c_6485,plain,
    op2(e20,e23) = e23,
    inference(negUnitSimplification,[status(thm)],[c_6269,c_6261,c_6484]) ).

tff(c_796,plain,
    ( ( h4(e10) != e20 )
    | ( h4(e11) != e21 )
    | ( h4(e12) != e22 )
    | ( h4(e13) != e23 )
    | ( op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) )
    | ( op2(h4(e13),h4(e12)) != h4(op1(e13,e12)) )
    | ( op2(h4(e13),h4(e11)) != h4(op1(e13,e11)) )
    | ( op2(h4(e13),h4(e10)) != h4(op1(e13,e10)) )
    | ( op2(h4(e12),h4(e13)) != h4(op1(e12,e13)) )
    | ( op2(h4(e12),h4(e12)) != h4(op1(e12,e12)) )
    | ( op2(h4(e12),h4(e11)) != h4(op1(e12,e11)) )
    | ( op2(h4(e12),h4(e10)) != h4(op1(e12,e10)) )
    | ( op2(h4(e11),h4(e13)) != h4(op1(e11,e13)) )
    | ( op2(h4(e11),h4(e12)) != h4(op1(e11,e12)) )
    | ( op2(h4(e11),h4(e11)) != h4(op1(e11,e11)) )
    | ( op2(h4(e11),h4(e10)) != h4(op1(e11,e10)) )
    | ( op2(h4(e10),h4(e13)) != h4(op1(e10,e13)) )
    | ( op2(h4(e10),h4(e12)) != h4(op1(e10,e12)) )
    | ( op2(h4(e10),h4(e11)) != h4(op1(e10,e11)) )
    | ( op2(h4(e10),h4(e10)) != h4(op1(e10,e10)) ) ),
    inference(cnfTransformation,[status(thm)],[f_2216]) ).

tff(c_3054,plain,
    ( ( h4(e10) != e20 )
    | ( h4(e11) != e21 )
    | ( h4(e12) != e22 )
    | ( h4(op1(e13,e13)) != op2(e23,e23) )
    | ( op2(e23,h4(e12)) != h4(op1(e13,e12)) )
    | ( op2(e23,h4(e11)) != h4(op1(e13,e11)) )
    | ( op2(e23,h4(e10)) != h4(op1(e13,e10)) )
    | ( op2(h4(e12),e23) != h4(op1(e12,e13)) )
    | ( op2(h4(e12),h4(e12)) != h4(op1(e12,e12)) )
    | ( op2(h4(e12),h4(e11)) != h4(op1(e12,e11)) )
    | ( op2(h4(e12),h4(e10)) != h4(op1(e12,e10)) )
    | ( op2(h4(e11),e23) != h4(op1(e11,e13)) )
    | ( op2(h4(e11),h4(e12)) != h4(op1(e11,e12)) )
    | ( op2(h4(e11),h4(e11)) != h4(op1(e11,e11)) )
    | ( op2(h4(e11),h4(e10)) != h4(op1(e11,e10)) )
    | ( op2(h4(e10),e23) != h4(op1(e10,e13)) )
    | ( op2(h4(e10),h4(e12)) != h4(op1(e10,e12)) )
    | ( op2(h4(e10),h4(e11)) != h4(op1(e10,e11)) )
    | ( op2(h4(e10),h4(e10)) != h4(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_740,c_740,c_740,c_740,c_740,c_740,c_740,c_740,c_740,c_796]) ).

tff(c_3169,plain,
    ( ( h4(e10) != e20 )
    | ( h4(e11) != e21 )
    | ( h4(e12) != e22 )
    | ( h4(op1(e13,e13)) != h4(e11) )
    | ( op2(e23,h4(e12)) != h4(op1(e13,e12)) )
    | ( op2(e23,h4(e11)) != h4(op1(e13,e11)) )
    | ( op2(e23,h4(e10)) != h4(op1(e13,e10)) )
    | ( op2(h4(e12),e23) != h4(op1(e12,e13)) )
    | ( op2(h4(e12),h4(e12)) != h4(op1(e12,e12)) )
    | ( op2(h4(e12),h4(e11)) != h4(op1(e12,e11)) )
    | ( op2(h4(e12),h4(e10)) != h4(op1(e12,e10)) )
    | ( op2(h4(e11),e23) != h4(op1(e11,e13)) )
    | ( op2(h4(e11),h4(e12)) != h4(op1(e11,e12)) )
    | ( op2(h4(e11),h4(e11)) != h4(op1(e11,e11)) )
    | ( op2(h4(e11),h4(e10)) != h4(op1(e11,e10)) )
    | ( op2(h4(e10),e23) != h4(op1(e10,e13)) )
    | ( op2(h4(e10),h4(e12)) != h4(op1(e10,e12)) )
    | ( op2(h4(e10),h4(e11)) != h4(op1(e10,e11)) )
    | ( op2(h4(e10),h4(e10)) != h4(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_736,c_3054]) ).

tff(c_3233,plain,
    ( ( h4(e10) != e20 )
    | ( h4(e11) != e21 )
    | ( h4(e12) != e22 )
    | ( h4(op1(e13,e13)) != h4(e11) )
    | ( op2(e23,h4(e12)) != h4(op1(e13,e12)) )
    | ( h4(op1(e13,e11)) != h4(e10) )
    | ( op2(e23,h4(e10)) != h4(op1(e13,e10)) )
    | ( op2(h4(e12),e23) != h4(op1(e12,e13)) )
    | ( op2(h4(e12),h4(e12)) != h4(op1(e12,e12)) )
    | ( op2(h4(e12),h4(e11)) != h4(op1(e12,e11)) )
    | ( op2(h4(e12),h4(e10)) != h4(op1(e12,e10)) )
    | ( op2(h4(e11),e23) != h4(op1(e11,e13)) )
    | ( op2(h4(e11),h4(e12)) != h4(op1(e11,e12)) )
    | ( op2(h4(e11),h4(e11)) != h4(op1(e11,e11)) )
    | ( op2(h4(e11),h4(e10)) != h4(op1(e11,e10)) )
    | ( op2(h4(e10),e23) != h4(op1(e10,e13)) )
    | ( op2(h4(e10),h4(e12)) != h4(op1(e10,e12)) )
    | ( op2(h4(e10),h4(e11)) != h4(op1(e10,e11)) )
    | ( op2(h4(e10),h4(e10)) != h4(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_3110,c_3169]) ).

tff(c_3291,plain,
    ( ( h4(e10) != e20 )
    | ( h4(e11) != e21 )
    | ( h4(e12) != e22 )
    | ( h4(op1(e13,e13)) != h4(e11) )
    | ( op2(e23,h4(e12)) != h4(op1(e13,e12)) )
    | ( h4(op1(e13,e11)) != h4(e10) )
    | ( op2(e23,h4(e10)) != h4(op1(e13,e10)) )
    | ( op2(h4(e12),e23) != h4(op1(e12,e13)) )
    | ( op2(h4(e12),h4(e12)) != h4(op1(e12,e12)) )
    | ( op2(h4(e12),h4(e11)) != h4(op1(e12,e11)) )
    | ( op2(h4(e12),h4(e10)) != h4(op1(e12,e10)) )
    | ( op2(h4(e11),e23) != h4(op1(e11,e13)) )
    | ( op2(h4(e11),h4(e12)) != h4(op1(e11,e12)) )
    | ( op2(h4(e11),h4(e11)) != h4(op1(e11,e11)) )
    | ( op2(h4(e11),h4(e10)) != h4(op1(e11,e10)) )
    | ( op2(h4(e10),e23) != h4(op1(e10,e13)) )
    | ( op2(h4(e10),h4(e12)) != h4(op1(e10,e12)) )
    | ( h4(op1(e10,e11)) != h4(e12) )
    | ( op2(h4(e10),h4(e10)) != h4(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_3238,c_3233]) ).

tff(c_4925,plain,
    ( ( h4(e11) != e21 )
    | ( h4(e12) != e22 )
    | ( h4(op1(e13,e13)) != h4(e11) )
    | ( op2(e23,h4(e12)) != h4(op1(e13,e12)) )
    | ( h4(op1(e13,e11)) != e20 )
    | ( h4(op1(e13,e10)) != op2(e23,e20) )
    | ( op2(h4(e12),e23) != h4(op1(e12,e13)) )
    | ( op2(h4(e12),h4(e12)) != h4(op1(e12,e12)) )
    | ( op2(h4(e12),h4(e11)) != h4(op1(e12,e11)) )
    | ( op2(h4(e12),e20) != h4(op1(e12,e10)) )
    | ( op2(h4(e11),e23) != h4(op1(e11,e13)) )
    | ( op2(h4(e11),h4(e12)) != h4(op1(e11,e12)) )
    | ( op2(h4(e11),h4(e11)) != h4(op1(e11,e11)) )
    | ( op2(h4(e11),e20) != h4(op1(e11,e10)) )
    | ( h4(op1(e10,e13)) != op2(e20,e23) )
    | ( op2(e20,h4(e12)) != h4(op1(e10,e12)) )
    | ( h4(op1(e10,e11)) != h4(e12) )
    | ( h4(op1(e10,e10)) != op2(e20,e20) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4845,c_4845,c_4845,c_4845,c_4845,c_4845,c_4845,c_4845,c_4845,c_3291]) ).

tff(c_4990,plain,
    ( ( h4(e11) != e21 )
    | ( h4(e12) != e22 )
    | ( h4(op1(e13,e13)) != h4(e11) )
    | ( op2(e23,h4(e12)) != h4(op1(e13,e12)) )
    | ( h4(op1(e13,e11)) != e20 )
    | ( h4(op1(e13,e10)) != op2(e23,e20) )
    | ( op2(h4(e12),e23) != h4(op1(e12,e13)) )
    | ( op2(h4(e12),h4(e12)) != h4(op1(e12,e12)) )
    | ( op2(h4(e12),h4(e11)) != h4(op1(e12,e11)) )
    | ( op2(h4(e12),e20) != h4(op1(e12,e10)) )
    | ( op2(h4(e11),e23) != h4(op1(e11,e13)) )
    | ( op2(h4(e11),h4(e12)) != h4(op1(e11,e12)) )
    | ( op2(h4(e11),h4(e11)) != h4(op1(e11,e11)) )
    | ( op2(h4(e11),e20) != h4(op1(e11,e10)) )
    | ( h4(op1(e10,e13)) != op2(e20,e23) )
    | ( op2(e20,h4(e12)) != h4(op1(e10,e12)) )
    | ( h4(op1(e10,e11)) != h4(e12) )
    | ( h4(op1(e10,e10)) != h1(e11) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_712,c_4925]) ).

tff(c_5013,plain,
    ( ( h4(e12) != e22 )
    | ( h4(op1(e13,e13)) != e21 )
    | ( op2(e23,h4(e12)) != h4(op1(e13,e12)) )
    | ( h4(op1(e13,e11)) != e20 )
    | ( h4(op1(e13,e10)) != op2(e23,e20) )
    | ( op2(h4(e12),e23) != h4(op1(e12,e13)) )
    | ( op2(h4(e12),h4(e12)) != h4(op1(e12,e12)) )
    | ( op2(h4(e12),e21) != h4(op1(e12,e11)) )
    | ( op2(h4(e12),e20) != h4(op1(e12,e10)) )
    | ( h4(op1(e11,e13)) != op2(e21,e23) )
    | ( op2(e21,h4(e12)) != h4(op1(e11,e12)) )
    | ( h4(op1(e11,e11)) != op2(e21,e21) )
    | ( h4(op1(e11,e10)) != op2(e21,e20) )
    | ( h4(op1(e10,e13)) != op2(e20,e23) )
    | ( op2(e20,h4(e12)) != h4(op1(e10,e12)) )
    | ( h4(op1(e10,e11)) != h4(e12) )
    | ( h4(op1(e10,e10)) != h1(e11) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4992,c_4992,c_4992,c_4992,c_4992,c_4992,c_4992,c_4992,c_4990]) ).

tff(c_5029,plain,
    ( ( h4(e12) != e22 )
    | ( h4(op1(e13,e13)) != e21 )
    | ( op2(e23,h4(e12)) != h4(op1(e13,e12)) )
    | ( h4(op1(e13,e11)) != e20 )
    | ( h4(op1(e13,e10)) != op2(e23,e20) )
    | ( op2(h4(e12),e23) != h4(op1(e12,e13)) )
    | ( op2(h4(e12),h4(e12)) != h4(op1(e12,e12)) )
    | ( op2(h4(e12),e21) != h4(op1(e12,e11)) )
    | ( op2(h4(e12),e20) != h4(op1(e12,e10)) )
    | ( h4(op1(e11,e13)) != op2(e21,e23) )
    | ( op2(e21,h4(e12)) != h4(op1(e11,e12)) )
    | ( h4(op1(e11,e11)) != h2(e11) )
    | ( h4(op1(e11,e10)) != op2(e21,e20) )
    | ( h4(op1(e10,e13)) != op2(e20,e23) )
    | ( op2(e20,h4(e12)) != h4(op1(e10,e12)) )
    | ( h4(op1(e10,e11)) != h4(e12) )
    | ( h4(op1(e10,e10)) != h1(e11) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_720,c_5013]) ).

tff(c_5037,plain,
    ( ( h4(op1(e13,e13)) != e21 )
    | ( h4(op1(e13,e12)) != op2(e23,e22) )
    | ( h4(op1(e13,e11)) != e20 )
    | ( h4(op1(e13,e10)) != op2(e23,e20) )
    | ( h4(op1(e12,e13)) != op2(e22,e23) )
    | ( h4(op1(e12,e12)) != op2(e22,e22) )
    | ( h4(op1(e12,e11)) != op2(e22,e21) )
    | ( h4(op1(e12,e10)) != op2(e22,e20) )
    | ( h4(op1(e11,e13)) != op2(e21,e23) )
    | ( h4(op1(e11,e12)) != op2(e21,e22) )
    | ( h4(op1(e11,e11)) != h2(e11) )
    | ( h4(op1(e11,e10)) != op2(e21,e20) )
    | ( h4(op1(e10,e13)) != op2(e20,e23) )
    | ( h4(op1(e10,e12)) != op2(e20,e22) )
    | ( h4(op1(e10,e11)) != e22 )
    | ( h4(op1(e10,e10)) != h1(e11) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5031,c_5031,c_5031,c_5031,c_5031,c_5031,c_5031,c_5031,c_5031,c_5031,c_5029]) ).

tff(c_5041,plain,
    ( ( h4(op1(e13,e13)) != e21 )
    | ( h4(op1(e13,e12)) != op2(e23,e22) )
    | ( h4(op1(e13,e11)) != e20 )
    | ( h4(op1(e13,e10)) != op2(e23,e20) )
    | ( h4(op1(e12,e13)) != op2(e22,e23) )
    | ( h4(op1(e12,e12)) != h3(e11) )
    | ( h4(op1(e12,e11)) != op2(e22,e21) )
    | ( h4(op1(e12,e10)) != op2(e22,e20) )
    | ( h4(op1(e11,e13)) != op2(e21,e23) )
    | ( h4(op1(e11,e12)) != op2(e21,e22) )
    | ( h4(op1(e11,e11)) != h2(e11) )
    | ( h4(op1(e11,e10)) != op2(e21,e20) )
    | ( h4(op1(e10,e13)) != op2(e20,e23) )
    | ( h4(op1(e10,e12)) != op2(e20,e22) )
    | ( h4(op1(e10,e11)) != e22 )
    | ( h4(op1(e10,e10)) != h1(e11) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_728,c_5037]) ).

tff(c_5427,plain,
    ( ( h4(e11) != e21 )
    | ( h4(op1(e13,e12)) != op2(e23,e22) )
    | ( h4(op1(e13,e11)) != e20 )
    | ( h4(op1(e13,e10)) != op2(e23,e20) )
    | ( h4(op1(e12,e13)) != op2(e22,e23) )
    | ( h4(op1(e12,e12)) != h3(e11) )
    | ( h4(op1(e12,e11)) != op2(e22,e21) )
    | ( h4(op1(e12,e10)) != op2(e22,e20) )
    | ( h4(op1(e11,e13)) != op2(e21,e23) )
    | ( h4(op1(e11,e12)) != op2(e21,e22) )
    | ( h4(op1(e11,e11)) != h2(e11) )
    | ( h4(op1(e11,e10)) != op2(e21,e20) )
    | ( h4(op1(e10,e13)) != op2(e20,e23) )
    | ( h4(op1(e10,e12)) != op2(e20,e22) )
    | ( h4(op1(e10,e11)) != e22 )
    | ( h4(op1(e10,e10)) != h1(e11) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_700,c_5041]) ).

tff(c_5813,plain,
    ( ( h4(op1(e13,e12)) != op2(e23,e22) )
    | ( h4(op1(e13,e10)) != op2(e23,e20) )
    | ( h4(op1(e12,e13)) != op2(e22,e23) )
    | ( h4(op1(e12,e12)) != h3(e11) )
    | ( h4(op1(e12,e11)) != op2(e22,e21) )
    | ( h4(op1(e12,e10)) != op2(e22,e20) )
    | ( h4(op1(e11,e13)) != op2(e21,e23) )
    | ( h4(op1(e11,e12)) != op2(e21,e22) )
    | ( h4(op1(e11,e11)) != h2(e11) )
    | ( h4(op1(e11,e10)) != op2(e21,e20) )
    | ( h4(op1(e10,e13)) != op2(e20,e23) )
    | ( h4(op1(e10,e12)) != op2(e20,e22) )
    | ( h4(op1(e10,e11)) != e22 )
    | ( h4(op1(e10,e10)) != h1(e11) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4845,c_5214,c_4992,c_5427]) ).

tff(c_5835,plain,
    ( ( h4(op1(e13,e12)) != op2(e23,e22) )
    | ( h4(op1(e13,e10)) != op2(e23,e20) )
    | ( h4(op1(e12,e13)) != op2(e22,e23) )
    | ( h4(op1(e12,e12)) != h3(e11) )
    | ( h4(op1(e12,e11)) != op2(e22,e21) )
    | ( h4(op1(e12,e10)) != op2(e22,e20) )
    | ( h4(op1(e11,e13)) != op2(e21,e23) )
    | ( h4(op1(e11,e12)) != op2(e21,e22) )
    | ( h4(op1(e11,e11)) != h2(e11) )
    | ( h4(op1(e11,e10)) != op2(e21,e20) )
    | ( h4(op1(e10,e13)) != op2(e20,e23) )
    | ( h4(op1(e10,e12)) != op2(e20,e22) )
    | ( h4(e12) != e22 )
    | ( h4(op1(e10,e10)) != h1(e11) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5814,c_5813]) ).

tff(c_6201,plain,
    ( ( h4(op1(e13,e12)) != op2(e23,e22) )
    | ( h4(op1(e13,e10)) != op2(e23,e20) )
    | ( h4(op1(e12,e13)) != op2(e22,e23) )
    | ( h4(op1(e12,e12)) != h3(e11) )
    | ( h4(op1(e12,e11)) != op2(e22,e21) )
    | ( h4(op1(e12,e10)) != op2(e22,e20) )
    | ( h4(op1(e11,e13)) != op2(e21,e23) )
    | ( h4(op1(e11,e12)) != op2(e21,e22) )
    | ( h4(op1(e11,e11)) != h2(e11) )
    | ( h4(op1(e11,e10)) != op2(e21,e20) )
    | ( h4(op1(e10,e13)) != op2(e20,e23) )
    | ( h4(op1(e10,e12)) != op2(e20,e22) )
    | ( h4(op1(e10,e10)) != h1(e11) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5031,c_5835]) ).

tff(c_6375,plain,
    ( ( h4(op1(e13,e12)) != op2(e23,e22) )
    | ( h4(op1(e13,e10)) != op2(e23,e20) )
    | ( h4(op1(e12,e13)) != op2(e22,e23) )
    | ( h4(op1(e12,e12)) != h3(e11) )
    | ( h4(op1(e12,e11)) != e21 )
    | ( h4(op1(e12,e10)) != op2(e22,e20) )
    | ( h4(op1(e11,e13)) != op2(e21,e23) )
    | ( h4(op1(e11,e12)) != op2(e21,e22) )
    | ( h4(op1(e11,e11)) != h2(e11) )
    | ( h4(op1(e11,e10)) != op2(e21,e20) )
    | ( h4(op1(e10,e13)) != op2(e20,e23) )
    | ( h4(op1(e10,e12)) != op2(e20,e22) )
    | ( h4(op1(e10,e10)) != h1(e11) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6368,c_6201]) ).

tff(c_6413,plain,
    ( ( h4(op1(e13,e12)) != op2(e23,e22) )
    | ( h4(op1(e13,e10)) != op2(e23,e20) )
    | ( h4(op1(e12,e13)) != op2(e22,e23) )
    | ( h4(op1(e12,e12)) != h3(e11) )
    | ( h4(op1(e12,e11)) != e21 )
    | ( h4(op1(e12,e10)) != op2(e22,e20) )
    | ( h4(op1(e11,e13)) != op2(e21,e23) )
    | ( h4(op1(e11,e12)) != op2(e21,e22) )
    | ( h4(op1(e11,e11)) != e23 )
    | ( h4(op1(e11,e10)) != op2(e21,e20) )
    | ( h4(op1(e10,e13)) != op2(e20,e23) )
    | ( h4(op1(e10,e12)) != op2(e20,e22) )
    | ( h4(op1(e10,e10)) != h1(e11) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6383,c_6375]) ).

tff(c_6437,plain,
    ( ( h4(op1(e13,e12)) != op2(e23,e22) )
    | ( h4(op1(e13,e10)) != op2(e23,e20) )
    | ( h4(op1(e12,e13)) != op2(e22,e23) )
    | ( h4(op1(e12,e12)) != h3(e11) )
    | ( h4(op1(e12,e11)) != e21 )
    | ( h4(op1(e12,e10)) != op2(e22,e20) )
    | ( h4(op1(e11,e13)) != h2(e10) )
    | ( h4(op1(e11,e12)) != op2(e21,e22) )
    | ( h4(op1(e11,e11)) != e23 )
    | ( h4(op1(e11,e10)) != op2(e21,e20) )
    | ( h4(op1(e10,e13)) != op2(e20,e23) )
    | ( h4(op1(e10,e12)) != op2(e20,e22) )
    | ( h4(op1(e10,e10)) != h1(e11) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6385,c_6413]) ).

tff(c_6446,plain,
    ( ( h4(op1(e13,e12)) != op2(e23,e22) )
    | ( h4(op1(e13,e10)) != op2(e23,e20) )
    | ( h4(op1(e12,e13)) != op2(e22,e23) )
    | ( h4(op1(e12,e12)) != h3(e11) )
    | ( h4(op1(e12,e11)) != e21 )
    | ( h4(op1(e12,e10)) != op2(e22,e20) )
    | ( h4(op1(e11,e13)) != h2(e10) )
    | ( h4(op1(e11,e12)) != op2(e21,e22) )
    | ( h4(op1(e11,e11)) != e23 )
    | ( h4(op1(e11,e10)) != op2(e21,e20) )
    | ( h4(op1(e10,e13)) != op2(e20,e23) )
    | ( h4(op1(e10,e12)) != e20 )
    | ( h4(op1(e10,e10)) != h1(e11) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6431,c_6437]) ).

tff(c_6491,plain,
    ( ( h4(op1(e13,e12)) != op2(e23,e22) )
    | ( h4(op1(e13,e10)) != op2(e23,e20) )
    | ( h4(op1(e12,e13)) != op2(e22,e23) )
    | ( h4(op1(e12,e12)) != h3(e11) )
    | ( h4(op1(e12,e11)) != e21 )
    | ( h4(op1(e12,e10)) != op2(e22,e20) )
    | ( h4(op1(e11,e13)) != h2(e10) )
    | ( h4(op1(e11,e12)) != op2(e21,e22) )
    | ( h4(op1(e11,e11)) != e23 )
    | ( h4(op1(e11,e10)) != op2(e21,e20) )
    | ( h4(op1(e10,e13)) != e23 )
    | ( h4(op1(e10,e12)) != e20 )
    | ( h4(op1(e10,e10)) != e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6448,c_6485,c_6446]) ).

tff(c_6535,plain,
    ( ( h4(op1(e13,e12)) != op2(e23,e22) )
    | ( h4(op1(e13,e10)) != op2(e23,e20) )
    | ( h4(op1(e12,e13)) != op2(e22,e23) )
    | ( h4(op1(e12,e12)) != h3(e11) )
    | ( h4(op1(e12,e11)) != e21 )
    | ( h4(op1(e12,e10)) != op2(e22,e20) )
    | ( h4(op1(e11,e13)) != h2(e10) )
    | ( h4(op1(e11,e12)) != e21 )
    | ( h4(op1(e11,e11)) != e23 )
    | ( h4(op1(e11,e10)) != op2(e21,e20) )
    | ( h4(op1(e10,e13)) != e23 )
    | ( h4(op1(e10,e12)) != e20 )
    | ( h4(op1(e10,e10)) != e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6493,c_6491]) ).

tff(c_6556,plain,
    ( ( h4(op1(e13,e12)) != op2(e23,e22) )
    | ( h4(op1(e13,e10)) != op2(e23,e20) )
    | ( h4(op1(e12,e13)) != op2(e22,e23) )
    | ( h4(op1(e12,e12)) != h3(e11) )
    | ( h4(op1(e12,e11)) != e21 )
    | ( h4(op1(e12,e10)) != e22 )
    | ( h4(op1(e11,e13)) != h2(e10) )
    | ( h4(op1(e11,e12)) != e21 )
    | ( h4(op1(e11,e11)) != e23 )
    | ( h4(op1(e11,e10)) != op2(e21,e20) )
    | ( h4(op1(e10,e13)) != e23 )
    | ( h4(op1(e10,e12)) != e20 )
    | ( h4(op1(e10,e10)) != e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6547,c_6535]) ).

tff(c_6571,plain,
    ( ( h4(op1(e13,e12)) != op2(e23,e22) )
    | ( h4(op1(e13,e10)) != e23 )
    | ( h4(op1(e12,e13)) != op2(e22,e23) )
    | ( h4(op1(e12,e12)) != h3(e11) )
    | ( h4(op1(e12,e11)) != e21 )
    | ( h4(op1(e12,e10)) != e22 )
    | ( h4(op1(e11,e13)) != h2(e10) )
    | ( h4(op1(e11,e12)) != e21 )
    | ( h4(op1(e11,e11)) != e23 )
    | ( h4(op1(e11,e10)) != e20 )
    | ( h4(op1(e10,e13)) != e23 )
    | ( h4(op1(e10,e12)) != e20 )
    | ( h4(op1(e10,e10)) != e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6559,c_6566,c_6556]) ).

tff(c_6578,plain,
    ( ( h4(op1(e13,e12)) != op2(e23,e22) )
    | ( h4(op1(e13,e10)) != e23 )
    | ( h4(op1(e12,e13)) != e20 )
    | ( h4(op1(e12,e12)) != h3(e11) )
    | ( h4(op1(e12,e11)) != e21 )
    | ( h4(op1(e12,e10)) != e22 )
    | ( h4(op1(e11,e13)) != h2(e10) )
    | ( h4(op1(e11,e12)) != e21 )
    | ( h4(op1(e11,e11)) != e23 )
    | ( h4(op1(e11,e10)) != e20 )
    | ( h4(op1(e10,e13)) != e23 )
    | ( h4(op1(e10,e12)) != e20 )
    | ( h4(op1(e10,e10)) != e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6572,c_6571]) ).

tff(c_6592,plain,
    ( ( h4(op1(e13,e12)) != op2(e23,e22) )
    | ( h4(op1(e13,e10)) != e23 )
    | ( h4(op1(e12,e13)) != e20 )
    | ( h4(op1(e12,e12)) != h3(e11) )
    | ( h4(op1(e12,e11)) != e21 )
    | ( h4(op1(e12,e10)) != e22 )
    | ( h4(op1(e11,e13)) != e22 )
    | ( h4(op1(e11,e12)) != e21 )
    | ( h4(op1(e11,e11)) != e23 )
    | ( h4(op1(e11,e10)) != e20 )
    | ( h4(op1(e10,e13)) != e23 )
    | ( h4(op1(e10,e12)) != e20 )
    | ( h4(op1(e10,e10)) != e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6558,c_6578]) ).

tff(c_6606,plain,
    ( ( h4(op1(e13,e12)) != e22 )
    | ( h4(op1(e13,e10)) != e23 )
    | ( h4(op1(e12,e13)) != e20 )
    | ( h4(op1(e12,e12)) != h3(e11) )
    | ( h4(op1(e12,e11)) != e21 )
    | ( h4(op1(e12,e10)) != e22 )
    | ( h4(op1(e11,e13)) != e22 )
    | ( h4(op1(e11,e12)) != e21 )
    | ( h4(op1(e11,e11)) != e23 )
    | ( h4(op1(e11,e10)) != e20 )
    | ( h4(op1(e10,e13)) != e23 )
    | ( h4(op1(e10,e12)) != e20 )
    | ( h4(op1(e10,e10)) != e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6601,c_6592]) ).

tff(c_6632,plain,
    ( ( h4(op1(e13,e12)) != e22 )
    | ( h4(op1(e13,e10)) != e23 )
    | ( h4(op1(e12,e13)) != e20 )
    | ( h4(op1(e12,e12)) != e23 )
    | ( h4(op1(e12,e11)) != e21 )
    | ( h4(op1(e12,e10)) != e22 )
    | ( h4(op1(e11,e13)) != e22 )
    | ( h4(op1(e11,e12)) != e21 )
    | ( h4(op1(e11,e11)) != e23 )
    | ( h4(op1(e11,e10)) != e20 )
    | ( h4(op1(e10,e13)) != e23 )
    | ( h4(op1(e10,e12)) != e20 )
    | ( h4(op1(e10,e10)) != e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6609,c_6606]) ).

tff(c_6734,plain,
    ( ( h4(op1(e13,e12)) != e22 )
    | ( h4(op1(e13,e10)) != e23 )
    | ( h4(op1(e12,e13)) != e20 )
    | ( h4(op1(e12,e12)) != e23 )
    | ( h4(e11) != e21 )
    | ( h4(op1(e12,e10)) != e22 )
    | ( h4(op1(e11,e13)) != e22 )
    | ( h4(op1(e11,e12)) != e21 )
    | ( h4(op1(e11,e11)) != e23 )
    | ( h4(op1(e11,e10)) != e20 )
    | ( h4(op1(e10,e13)) != e23 )
    | ( h4(op1(e10,e12)) != e20 )
    | ( h4(op1(e10,e10)) != e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6727,c_6632]) ).

tff(c_6738,plain,
    ( ( h4(op1(e13,e12)) != e22 )
    | ( h4(op1(e13,e10)) != e23 )
    | ( h4(op1(e12,e13)) != e20 )
    | ( h4(op1(e12,e12)) != e23 )
    | ( h4(op1(e12,e10)) != e22 )
    | ( h4(op1(e11,e13)) != e22 )
    | ( h4(op1(e11,e12)) != e21 )
    | ( h4(op1(e11,e11)) != e23 )
    | ( h4(op1(e11,e10)) != e20 )
    | ( h4(op1(e10,e13)) != e23 )
    | ( h4(op1(e10,e12)) != e20 )
    | ( h4(op1(e10,e10)) != e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4992,c_6734]) ).

tff(c_6756,plain,
    ( ( h4(op1(e13,e12)) != e22 )
    | ( h4(op1(e13,e10)) != e23 )
    | ( h4(op1(e12,e13)) != e20 )
    | ( h4(op1(e12,e12)) != e23 )
    | ( h4(op1(e12,e10)) != e22 )
    | ( h4(op1(e11,e13)) != e22 )
    | ( h4(op1(e11,e12)) != e21 )
    | ( h4(e13) != e23 )
    | ( h4(op1(e11,e10)) != e20 )
    | ( h4(op1(e10,e13)) != e23 )
    | ( h4(op1(e10,e12)) != e20 )
    | ( h4(op1(e10,e10)) != e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6745,c_6738]) ).

tff(c_6762,plain,
    ( ( h4(op1(e13,e12)) != e22 )
    | ( h4(op1(e13,e10)) != e23 )
    | ( h4(op1(e12,e13)) != e20 )
    | ( h4(op1(e12,e12)) != e23 )
    | ( h4(op1(e12,e10)) != e22 )
    | ( h4(op1(e11,e13)) != e22 )
    | ( h4(op1(e11,e12)) != e21 )
    | ( h4(op1(e11,e10)) != e20 )
    | ( h4(op1(e10,e13)) != e23 )
    | ( h4(op1(e10,e12)) != e20 )
    | ( h4(op1(e10,e10)) != e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_740,c_6756]) ).

tff(c_6773,plain,
    ( ( h4(op1(e13,e12)) != e22 )
    | ( h4(op1(e13,e10)) != e23 )
    | ( h4(op1(e12,e13)) != e20 )
    | ( h4(op1(e12,e12)) != e23 )
    | ( h4(op1(e12,e10)) != e22 )
    | ( h4(op1(e11,e13)) != e22 )
    | ( h4(op1(e11,e12)) != e21 )
    | ( h4(op1(e11,e10)) != e20 )
    | ( h4(op1(e10,e13)) != e23 )
    | ( h4(e10) != e20 )
    | ( h4(op1(e10,e10)) != e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6759,c_6762]) ).

tff(c_6793,plain,
    ( ( h4(op1(e13,e12)) != e22 )
    | ( h4(op1(e13,e10)) != e23 )
    | ( h4(op1(e12,e13)) != e20 )
    | ( h4(op1(e12,e12)) != e23 )
    | ( h4(op1(e12,e10)) != e22 )
    | ( h4(op1(e11,e13)) != e22 )
    | ( h4(op1(e11,e12)) != e21 )
    | ( h4(op1(e11,e10)) != e20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4992,c_6776,c_4845,c_740,c_6786,c_6773]) ).

tff(c_6806,plain,
    ( ( h4(op1(e13,e12)) != e22 )
    | ( h4(op1(e13,e10)) != e23 )
    | ( h4(op1(e12,e13)) != e20 )
    | ( h4(op1(e12,e12)) != e23 )
    | ( h4(op1(e12,e10)) != e22 )
    | ( h4(op1(e11,e13)) != e22 )
    | ( h4(e11) != e21 )
    | ( h4(op1(e11,e10)) != e20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6796,c_6793]) ).

tff(c_6810,plain,
    ( ( h4(op1(e13,e12)) != e22 )
    | ( h4(op1(e13,e10)) != e23 )
    | ( h4(op1(e12,e13)) != e20 )
    | ( h4(op1(e12,e12)) != e23 )
    | ( h4(op1(e12,e10)) != e22 )
    | ( h4(op1(e11,e13)) != e22 )
    | ( h4(op1(e11,e10)) != e20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4992,c_6806]) ).

tff(c_6831,plain,
    ( ( h4(op1(e13,e12)) != e22 )
    | ( h4(op1(e13,e10)) != e23 )
    | ( h4(op1(e12,e13)) != e20 )
    | ( h4(op1(e12,e12)) != e23 )
    | ( h4(e12) != e22 )
    | ( h4(op1(e11,e13)) != e22 )
    | ( h4(op1(e11,e10)) != e20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6822,c_6810]) ).

tff(c_6848,plain,
    ( ( h4(op1(e13,e12)) != e22 )
    | ( h4(op1(e12,e13)) != e20 )
    | ( h4(op1(e12,e12)) != e23 )
    | ( h4(op1(e11,e13)) != e22 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4845,c_6835,c_5031,c_740,c_6842,c_6831]) ).

tff(c_6857,plain,
    ( ( h4(op1(e13,e12)) != e22 )
    | ( h4(e10) != e20 )
    | ( h4(op1(e12,e12)) != e23 )
    | ( h4(op1(e11,e13)) != e22 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6851,c_6848]) ).

tff(c_6865,plain,
    ( ( h4(op1(e13,e12)) != e22 )
    | ( h4(op1(e12,e12)) != e23 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5031,c_6834,c_4845,c_6857]) ).

tff(c_6874,plain,
    ( ( h4(e12) != e22 )
    | ( h4(op1(e12,e12)) != e23 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6869,c_6865]) ).

tff(c_6877,plain,
    h4(op1(e12,e12)) != e23,
    inference(demodulation,[status(thm),theory(equality)],[c_5031,c_6874]) ).

tff(c_6885,plain,
    h4(e13) != e23,
    inference(demodulation,[status(thm),theory(equality)],[c_6881,c_6877]) ).

tff(c_6888,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_740,c_6885]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : ALG111+1 : TPTP v8.1.2. Released v2.7.0.
% 0.13/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36  % Computer : n031.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 20:52:14 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 26.55/11.62  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.89/11.66  
% 26.89/11.66  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 27.11/11.73  
% 27.11/11.73  Inference rules
% 27.11/11.73  ----------------------
% 27.11/11.73  #Ref     : 0
% 27.11/11.73  #Sup     : 0
% 27.11/11.73  #Fact    : 0
% 27.11/11.73  #Define  : 0
% 27.11/11.73  #Split   : 0
% 27.11/11.73  #Chain   : 0
% 27.11/11.73  #Close   : 0
% 27.11/11.73  
% 27.11/11.73  Ordering : KBO
% 27.11/11.73  
% 27.11/11.73  Simplification rules
% 27.11/11.73  ----------------------
% 27.11/11.73  #Subsume      : 1348
% 27.11/11.73  #Demod        : 12978
% 27.11/11.73  #Tautology    : 45
% 27.11/11.73  #SimpNegUnit  : 93
% 27.11/11.73  #BackRed      : 0
% 27.11/11.73  
% 27.11/11.73  #Partial instantiations: 0
% 27.11/11.73  #Strategies tried      : 1
% 27.11/11.73  
% 27.11/11.73  Timing (in seconds)
% 27.11/11.73  ----------------------
% 27.11/11.74  Preprocessing        : 1.36
% 27.11/11.74  Parsing              : 0.56
% 27.11/11.74  CNF conversion       : 0.08
% 27.11/11.74  Main loop            : 9.14
% 27.11/11.74  Inferencing          : 0.00
% 27.11/11.74  Reduction            : 4.37
% 27.11/11.74  Demodulation         : 3.66
% 27.11/11.74  BG Simplification    : 0.29
% 27.11/11.74  Subsumption          : 4.19
% 27.11/11.74  Abstraction          : 0.19
% 27.11/11.74  MUC search           : 0.00
% 27.11/11.74  Cooper               : 0.00
% 27.11/11.74  Total                : 10.63
% 27.11/11.74  Index Insertion      : 0.00
% 27.11/11.74  Index Deletion       : 0.00
% 27.11/11.74  Index Matching       : 0.00
% 27.11/11.74  BG Taut test         : 0.00
%------------------------------------------------------------------------------