TSTP Solution File: ALG114+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : ALG114+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n016.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 10:31:25 EDT 2023

% Result   : Theorem 144.80s 122.34s
% Output   : CNFRefutation 145.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  508 ( 299 unt;  14 typ;   0 def)
%            Number of atoms       : 2141 (2110 equ)
%            Maximal formula atoms :  128 (   4 avg)
%            Number of connectives : 2640 ( 993   ~;1321   |; 326   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   4 avg)
%            Maximal term depth    :    3 (   2 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_1092,axiom,
    ( ( e10 != e11 )
    & ( e10 != e12 )
    & ( e10 != e13 )
    & ( e11 != e12 )
    & ( e11 != e13 )
    & ( e12 != e13 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

tff(f_1109,axiom,
    ( ( e20 != e21 )
    & ( e20 != e22 )
    & ( e20 != e23 )
    & ( e21 != e22 )
    & ( e21 != e23 )
    & ( e22 != e23 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

tff(f_1324,axiom,
    ( ( e20 = op2(op2(e22,e22),e22) )
    & ( e21 = op2(op2(e22,e22),op2(e22,e22)) )
    & ( e23 = op2(e22,e22) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).

tff(f_1338,axiom,
    ( ( h2(e12) = e21 )
    & ( h2(e10) = op2(op2(e21,e21),e21) )
    & ( h2(e11) = op2(op2(e21,e21),op2(e21,e21)) )
    & ( h2(e13) = op2(e21,e21) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

tff(f_1331,axiom,
    ( ( h1(e12) = e20 )
    & ( h1(e10) = op2(op2(e20,e20),e20) )
    & ( h1(e11) = op2(op2(e20,e20),op2(e20,e20)) )
    & ( h1(e13) = op2(e20,e20) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).

tff(f_1314,axiom,
    ( ( ( ( op2(e20,e20) = e20 )
        & ( op2(e20,e20) != e20 ) )
      | ( ( op2(e21,e21) = e20 )
        & ( op2(e20,e20) != e21 ) )
      | ( ( op2(e22,e22) = e20 )
        & ( op2(e20,e20) != e22 ) )
      | ( ( op2(e23,e23) = e20 )
        & ( op2(e20,e20) != e23 ) ) )
    & ( ( ( op2(e20,e20) = e21 )
        & ( op2(e21,e21) != e20 ) )
      | ( ( op2(e21,e21) = e21 )
        & ( op2(e21,e21) != e21 ) )
      | ( ( op2(e22,e22) = e21 )
        & ( op2(e21,e21) != e22 ) )
      | ( ( op2(e23,e23) = e21 )
        & ( op2(e21,e21) != e23 ) ) )
    & ( ( ( op2(e20,e20) = e22 )
        & ( op2(e22,e22) != e20 ) )
      | ( ( op2(e21,e21) = e22 )
        & ( op2(e22,e22) != e21 ) )
      | ( ( op2(e22,e22) = e22 )
        & ( op2(e22,e22) != e22 ) )
      | ( ( op2(e23,e23) = e22 )
        & ( op2(e22,e22) != e23 ) ) )
    & ( ( ( op2(e20,e20) = e23 )
        & ( op2(e23,e23) != e20 ) )
      | ( ( op2(e21,e21) = e23 )
        & ( op2(e23,e23) != e21 ) )
      | ( ( op2(e22,e22) = e23 )
        & ( op2(e23,e23) != e22 ) )
      | ( ( op2(e23,e23) = e23 )
        & ( op2(e23,e23) != e23 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).

tff(f_1345,axiom,
    ( ( h3(e12) = e22 )
    & ( h3(e10) = op2(op2(e22,e22),e22) )
    & ( h3(e11) = op2(op2(e22,e22),op2(e22,e22)) )
    & ( h3(e13) = op2(e22,e22) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

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/sandbox2/benchmark/theBenchmark.p',ax6) ).

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/sandbox2/benchmark/theBenchmark.p',ax4) ).

tff(f_1319,axiom,
    ( ( e10 = op1(op1(e12,e12),e12) )
    & ( e11 = op1(op1(e12,e12),op1(e12,e12)) )
    & ( e13 = op1(e12,e12) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).

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/sandbox2/benchmark/theBenchmark.p',ax5) ).

tff(f_152,axiom,
    ( ( ( op1(e10,e10) = e10 )
      | ( op1(e10,e10) = e11 )
      | ( op1(e10,e10) = e12 )
      | ( op1(e10,e10) = e13 ) )
    & ( ( op1(e10,e11) = e10 )
      | ( op1(e10,e11) = e11 )
      | ( op1(e10,e11) = e12 )
      | ( op1(e10,e11) = e13 ) )
    & ( ( op1(e10,e12) = e10 )
      | ( op1(e10,e12) = e11 )
      | ( op1(e10,e12) = e12 )
      | ( op1(e10,e12) = e13 ) )
    & ( ( op1(e10,e13) = e10 )
      | ( op1(e10,e13) = e11 )
      | ( op1(e10,e13) = e12 )
      | ( op1(e10,e13) = e13 ) )
    & ( ( op1(e11,e10) = e10 )
      | ( op1(e11,e10) = e11 )
      | ( op1(e11,e10) = e12 )
      | ( op1(e11,e10) = e13 ) )
    & ( ( op1(e11,e11) = e10 )
      | ( op1(e11,e11) = e11 )
      | ( op1(e11,e11) = e12 )
      | ( op1(e11,e11) = e13 ) )
    & ( ( op1(e11,e12) = e10 )
      | ( op1(e11,e12) = e11 )
      | ( op1(e11,e12) = e12 )
      | ( op1(e11,e12) = e13 ) )
    & ( ( op1(e11,e13) = e10 )
      | ( op1(e11,e13) = e11 )
      | ( op1(e11,e13) = e12 )
      | ( op1(e11,e13) = e13 ) )
    & ( ( op1(e12,e10) = e10 )
      | ( op1(e12,e10) = e11 )
      | ( op1(e12,e10) = e12 )
      | ( op1(e12,e10) = e13 ) )
    & ( ( op1(e12,e11) = e10 )
      | ( op1(e12,e11) = e11 )
      | ( op1(e12,e11) = e12 )
      | ( op1(e12,e11) = e13 ) )
    & ( ( op1(e12,e12) = e10 )
      | ( op1(e12,e12) = e11 )
      | ( op1(e12,e12) = e12 )
      | ( op1(e12,e12) = e13 ) )
    & ( ( op1(e12,e13) = e10 )
      | ( op1(e12,e13) = e11 )
      | ( op1(e12,e13) = e12 )
      | ( op1(e12,e13) = e13 ) )
    & ( ( op1(e13,e10) = e10 )
      | ( op1(e13,e10) = e11 )
      | ( op1(e13,e10) = e12 )
      | ( op1(e13,e10) = e13 ) )
    & ( ( op1(e13,e11) = e10 )
      | ( op1(e13,e11) = e11 )
      | ( op1(e13,e11) = e12 )
      | ( op1(e13,e11) = e13 ) )
    & ( ( op1(e13,e12) = e10 )
      | ( op1(e13,e12) = e11 )
      | ( op1(e13,e12) = e12 )
      | ( op1(e13,e12) = e13 ) )
    & ( ( op1(e13,e13) = e10 )
      | ( op1(e13,e13) = e11 )
      | ( op1(e13,e13) = e12 )
      | ( op1(e13,e13) = e13 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

tff(f_1235,axiom,
    ( ( ( ( op1(e10,e10) = e10 )
        & ( op1(e10,e10) != e10 ) )
      | ( ( op1(e11,e11) = e10 )
        & ( op1(e10,e10) != e11 ) )
      | ( ( op1(e12,e12) = e10 )
        & ( op1(e10,e10) != e12 ) )
      | ( ( op1(e13,e13) = e10 )
        & ( op1(e10,e10) != e13 ) ) )
    & ( ( ( op1(e10,e10) = e11 )
        & ( op1(e11,e11) != e10 ) )
      | ( ( op1(e11,e11) = e11 )
        & ( op1(e11,e11) != e11 ) )
      | ( ( op1(e12,e12) = e11 )
        & ( op1(e11,e11) != e12 ) )
      | ( ( op1(e13,e13) = e11 )
        & ( op1(e11,e11) != e13 ) ) )
    & ( ( ( op1(e10,e10) = e12 )
        & ( op1(e12,e12) != e10 ) )
      | ( ( op1(e11,e11) = e12 )
        & ( op1(e12,e12) != e11 ) )
      | ( ( op1(e12,e12) = e12 )
        & ( op1(e12,e12) != e12 ) )
      | ( ( op1(e13,e13) = e12 )
        & ( op1(e12,e12) != e13 ) ) )
    & ( ( ( op1(e10,e10) = e13 )
        & ( op1(e13,e13) != e10 ) )
      | ( ( op1(e11,e11) = e13 )
        & ( op1(e13,e13) != e11 ) )
      | ( ( op1(e12,e12) = e13 )
        & ( op1(e13,e13) != e12 ) )
      | ( ( op1(e13,e13) = e13 )
        & ( op1(e13,e13) != e13 ) ) ) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax2) ).

tff(f_534,axiom,
    ( ( ( op2(e20,e20) = e20 )
      | ( op2(e20,e20) = e21 )
      | ( op2(e20,e20) = e22 )
      | ( op2(e20,e20) = e23 ) )
    & ( ( op2(e20,e21) = e20 )
      | ( op2(e20,e21) = e21 )
      | ( op2(e20,e21) = e22 )
      | ( op2(e20,e21) = e23 ) )
    & ( ( op2(e20,e22) = e20 )
      | ( op2(e20,e22) = e21 )
      | ( op2(e20,e22) = e22 )
      | ( op2(e20,e22) = e23 ) )
    & ( ( op2(e20,e23) = e20 )
      | ( op2(e20,e23) = e21 )
      | ( op2(e20,e23) = e22 )
      | ( op2(e20,e23) = e23 ) )
    & ( ( op2(e21,e20) = e20 )
      | ( op2(e21,e20) = e21 )
      | ( op2(e21,e20) = e22 )
      | ( op2(e21,e20) = e23 ) )
    & ( ( op2(e21,e21) = e20 )
      | ( op2(e21,e21) = e21 )
      | ( op2(e21,e21) = e22 )
      | ( op2(e21,e21) = e23 ) )
    & ( ( op2(e21,e22) = e20 )
      | ( op2(e21,e22) = e21 )
      | ( op2(e21,e22) = e22 )
      | ( op2(e21,e22) = e23 ) )
    & ( ( op2(e21,e23) = e20 )
      | ( op2(e21,e23) = e21 )
      | ( op2(e21,e23) = e22 )
      | ( op2(e21,e23) = e23 ) )
    & ( ( op2(e22,e20) = e20 )
      | ( op2(e22,e20) = e21 )
      | ( op2(e22,e20) = e22 )
      | ( op2(e22,e20) = e23 ) )
    & ( ( op2(e22,e21) = e20 )
      | ( op2(e22,e21) = e21 )
      | ( op2(e22,e21) = e22 )
      | ( op2(e22,e21) = e23 ) )
    & ( ( op2(e22,e22) = e20 )
      | ( op2(e22,e22) = e21 )
      | ( op2(e22,e22) = e22 )
      | ( op2(e22,e22) = e23 ) )
    & ( ( op2(e22,e23) = e20 )
      | ( op2(e22,e23) = e21 )
      | ( op2(e22,e23) = e22 )
      | ( op2(e22,e23) = e23 ) )
    & ( ( op2(e23,e20) = e20 )
      | ( op2(e23,e20) = e21 )
      | ( op2(e23,e20) = e22 )
      | ( op2(e23,e20) = e23 ) )
    & ( ( op2(e23,e21) = e20 )
      | ( op2(e23,e21) = e21 )
      | ( op2(e23,e21) = e22 )
      | ( op2(e23,e21) = e23 ) )
    & ( ( op2(e23,e22) = e20 )
      | ( op2(e23,e22) = e21 )
      | ( op2(e23,e22) = e22 )
      | ( op2(e23,e22) = e23 ) )
    & ( ( op2(e23,e23) = e20 )
      | ( op2(e23,e23) = e21 )
      | ( op2(e23,e23) = e22 )
      | ( op2(e23,e23) = e23 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

tff(f_1608,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/sandbox2/benchmark/theBenchmark.p',co1) ).

tff(f_1352,axiom,
    ( ( h4(e12) = e23 )
    & ( h4(e10) = op2(op2(e23,e23),e23) )
    & ( h4(e11) = op2(op2(e23,e23),op2(e23,e23)) )
    & ( h4(e13) = op2(e23,e23) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

tff(c_394,plain,
    e12 != e10,
    inference(cnfTransformation,[status(thm)],[f_1092]) ).

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

tff(c_406,plain,
    e22 != e20,
    inference(cnfTransformation,[status(thm)],[f_1109]) ).

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

tff(c_704,plain,
    op2(e22,e22) = e23,
    inference(cnfTransformation,[status(thm)],[f_1324]) ).

tff(c_718,plain,
    op2(e21,e21) = h2(e13),
    inference(cnfTransformation,[status(thm)],[f_1338]) ).

tff(c_710,plain,
    op2(e20,e20) = h1(e13),
    inference(cnfTransformation,[status(thm)],[f_1331]) ).

tff(c_616,plain,
    ( ( op2(e20,e20) = e22 )
    | ( op2(e21,e21) = e22 )
    | ( op2(e22,e22) = e22 )
    | ( op2(e22,e22) != e23 ) ),
    inference(cnfTransformation,[status(thm)],[f_1314]) ).

tff(c_5685,plain,
    ( ( h1(e13) = e22 )
    | ( h2(e13) = e22 )
    | ( e23 = e22 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_704,c_704,c_718,c_710,c_616]) ).

tff(c_5812,plain,
    ( ( h1(e13) = e22 )
    | ( h2(e13) = e22 ) ),
    inference(negUnitSimplification,[status(thm)],[c_398,c_5685]) ).

tff(c_454109,plain,
    h2(e13) = e22,
    inference(splitLeft,[status(thm)],[c_5812]) ).

tff(c_404,plain,
    e23 != e20,
    inference(cnfTransformation,[status(thm)],[f_1109]) ).

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

tff(c_726,plain,
    op2(e22,e22) = h3(e13),
    inference(cnfTransformation,[status(thm)],[f_1345]) ).

tff(c_4776,plain,
    h3(e13) = e23,
    inference(demodulation,[status(thm),theory(equality)],[c_704,c_726]) ).

tff(c_728,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h3(e11),
    inference(cnfTransformation,[status(thm)],[f_1345]) ).

tff(c_3563,plain,
    op2(h3(e13),h3(e13)) = h3(e11),
    inference(demodulation,[status(thm),theory(equality)],[c_726,c_726,c_728]) ).

tff(c_706,plain,
    op2(op2(e22,e22),op2(e22,e22)) = e21,
    inference(cnfTransformation,[status(thm)],[f_1324]) ).

tff(c_4738,plain,
    h3(e11) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_3563,c_726,c_726,c_706]) ).

tff(c_4741,plain,
    op2(h3(e13),h3(e13)) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_4738,c_3563]) ).

tff(c_4778,plain,
    op2(e23,e23) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_4776,c_4776,c_4741]) ).

tff(c_696,plain,
    ( ( op2(e20,e20) = e20 )
    | ( op2(e21,e21) = e20 )
    | ( op2(e22,e22) = e20 )
    | ( op2(e23,e23) = e20 ) ),
    inference(cnfTransformation,[status(thm)],[f_1314]) ).

tff(c_5644,plain,
    ( ( h1(e13) = e20 )
    | ( h2(e13) = e20 )
    | ( e23 = e20 )
    | ( e21 = e20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4778,c_704,c_718,c_710,c_696]) ).

tff(c_5798,plain,
    ( ( h1(e13) = e20 )
    | ( h2(e13) = e20 )
    | ( e23 = e20 ) ),
    inference(negUnitSimplification,[status(thm)],[c_408,c_5644]) ).

tff(c_5805,plain,
    ( ( h1(e13) = e20 )
    | ( h2(e13) = e20 ) ),
    inference(negUnitSimplification,[status(thm)],[c_404,c_5798]) ).

tff(c_454141,plain,
    ( ( h1(e13) = e20 )
    | ( e22 = e20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_454109,c_5805]) ).

tff(c_454142,plain,
    h1(e13) = e20,
    inference(negUnitSimplification,[status(thm)],[c_406,c_454141]) ).

tff(c_694,plain,
    ( ( op2(e20,e20) != e20 )
    | ( op2(e21,e21) = e20 )
    | ( op2(e22,e22) = e20 )
    | ( op2(e23,e23) = e20 ) ),
    inference(cnfTransformation,[status(thm)],[f_1314]) ).

tff(c_5645,plain,
    ( ( h1(e13) != e20 )
    | ( h2(e13) = e20 )
    | ( e23 = e20 )
    | ( e21 = e20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4778,c_704,c_718,c_710,c_694]) ).

tff(c_5797,plain,
    ( ( h1(e13) != e20 )
    | ( h2(e13) = e20 )
    | ( e23 = e20 ) ),
    inference(negUnitSimplification,[status(thm)],[c_408,c_5645]) ).

tff(c_5807,plain,
    ( ( h1(e13) != e20 )
    | ( h2(e13) = e20 ) ),
    inference(negUnitSimplification,[status(thm)],[c_404,c_5797]) ).

tff(c_454173,plain,
    e22 = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_454109,c_454142,c_5807]) ).

tff(c_454174,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_406,c_454173]) ).

tff(c_454175,plain,
    h1(e13) = e22,
    inference(splitRight,[status(thm)],[c_5812]) ).

tff(c_454192,plain,
    ( ( e22 = e20 )
    | ( h2(e13) = e20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_454175,c_5805]) ).

tff(c_454193,plain,
    h2(e13) = e20,
    inference(negUnitSimplification,[status(thm)],[c_406,c_454192]) ).

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

tff(c_5849,plain,
    op2(e21,e20) != h2(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_718,c_324]) ).

tff(c_454197,plain,
    op2(e21,e20) != e20,
    inference(demodulation,[status(thm),theory(equality)],[c_454193,c_5849]) ).

tff(c_714,plain,
    op2(op2(e20,e20),e20) = h1(e10),
    inference(cnfTransformation,[status(thm)],[f_1331]) ).

tff(c_4462,plain,
    op2(h1(e13),e20) = h1(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_710,c_714]) ).

tff(c_455684,plain,
    op2(e22,e20) = h1(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_454175,c_4462]) ).

tff(c_730,plain,
    op2(op2(e22,e22),e22) = h3(e10),
    inference(cnfTransformation,[status(thm)],[f_1345]) ).

tff(c_3562,plain,
    op2(h3(e13),e22) = h3(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_726,c_730]) ).

tff(c_708,plain,
    op2(op2(e22,e22),e22) = e20,
    inference(cnfTransformation,[status(thm)],[f_1324]) ).

tff(c_4592,plain,
    h3(e10) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_3562,c_726,c_708]) ).

tff(c_4594,plain,
    op2(h3(e13),e22) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_4592,c_3562]) ).

tff(c_4777,plain,
    op2(e23,e22) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_4776,c_4594]) ).

tff(c_298,plain,
    op2(e23,e22) != op2(e23,e20),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_5857,plain,
    op2(e23,e20) != e20,
    inference(demodulation,[status(thm),theory(equality)],[c_4777,c_298]) ).

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_5880,plain,
    ( ( op2(e23,e20) = e20 )
    | ( op2(e22,e20) = e20 )
    | ( op2(e21,e20) = e20 )
    | ( h1(e13) = e20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_710,c_190]) ).

tff(c_5881,plain,
    ( ( op2(e22,e20) = e20 )
    | ( op2(e21,e20) = e20 )
    | ( h1(e13) = e20 ) ),
    inference(negUnitSimplification,[status(thm)],[c_5857,c_5880]) ).

tff(c_456757,plain,
    ( ( h1(e10) = e20 )
    | ( op2(e21,e20) = e20 )
    | ( e22 = e20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_454175,c_455684,c_5881]) ).

tff(c_456758,plain,
    h1(e10) = e20,
    inference(negUnitSimplification,[status(thm)],[c_406,c_454197,c_456757]) ).

tff(c_716,plain,
    h1(e12) = e20,
    inference(cnfTransformation,[status(thm)],[f_1331]) ).

tff(c_698,plain,
    op1(e12,e12) = e13,
    inference(cnfTransformation,[status(thm)],[f_1319]) ).

tff(c_702,plain,
    op1(op1(e12,e12),e12) = e10,
    inference(cnfTransformation,[status(thm)],[f_1319]) ).

tff(c_4975,plain,
    op1(e13,e12) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_698,c_702]) ).

tff(c_198,plain,
    op1(e13,e12) != op1(e13,e11),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_5875,plain,
    op1(e13,e11) != e10,
    inference(demodulation,[status(thm),theory(equality)],[c_4975,c_198]) ).

tff(c_700,plain,
    op1(op1(e12,e12),op1(e12,e12)) = e11,
    inference(cnfTransformation,[status(thm)],[f_1319]) ).

tff(c_5048,plain,
    op1(e13,e13) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_698,c_698,c_700]) ).

tff(c_196,plain,
    op1(e13,e13) != op1(e13,e11),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_5876,plain,
    op1(e13,e11) != e11,
    inference(demodulation,[status(thm),theory(equality)],[c_5048,c_196]) ).

tff(c_6,plain,
    ( ( op1(e13,e11) = e13 )
    | ( op1(e13,e11) = e12 )
    | ( op1(e13,e11) = e11 )
    | ( op1(e13,e11) = e10 ) ),
    inference(cnfTransformation,[status(thm)],[f_152]) ).

tff(c_6010,plain,
    ( ( op1(e13,e11) = e13 )
    | ( op1(e13,e11) = e12 ) ),
    inference(negUnitSimplification,[status(thm)],[c_5875,c_5876,c_6]) ).

tff(c_456140,plain,
    op1(e13,e11) = e12,
    inference(splitLeft,[status(thm)],[c_6010]) ).

tff(c_268,plain,
    op1(e13,e11) != op1(e11,e11),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_456142,plain,
    op1(e11,e11) != e12,
    inference(demodulation,[status(thm),theory(equality)],[c_456140,c_268]) ).

tff(c_488,plain,
    ( ( op1(e10,e10) = e12 )
    | ( op1(e11,e11) = e12 )
    | ( op1(e12,e12) = e12 )
    | ( op1(e12,e12) != e13 ) ),
    inference(cnfTransformation,[status(thm)],[f_1235]) ).

tff(c_5757,plain,
    ( ( op1(e10,e10) = e12 )
    | ( op1(e11,e11) = e12 )
    | ( e13 = e12 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_698,c_698,c_488]) ).

tff(c_5829,plain,
    ( ( op1(e10,e10) = e12 )
    | ( op1(e11,e11) = e12 ) ),
    inference(negUnitSimplification,[status(thm)],[c_386,c_5757]) ).

tff(c_456404,plain,
    op1(e10,e10) = e12,
    inference(negUnitSimplification,[status(thm)],[c_456142,c_5829]) ).

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

tff(c_388,plain,
    e13 != e11,
    inference(cnfTransformation,[status(thm)],[f_1092]) ).

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

tff(c_58,plain,
    ( ( op1(e13,e12) = e11 )
    | ( op1(e12,e12) = e11 )
    | ( op1(e11,e12) = e11 )
    | ( op1(e10,e12) = e11 ) ),
    inference(cnfTransformation,[status(thm)],[f_407]) ).

tff(c_5974,plain,
    ( ( e11 = e10 )
    | ( e13 = e11 )
    | ( op1(e11,e12) = e11 )
    | ( op1(e10,e12) = e11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_698,c_4975,c_58]) ).

tff(c_5975,plain,
    ( ( op1(e11,e12) = e11 )
    | ( op1(e10,e12) = e11 ) ),
    inference(negUnitSimplification,[status(thm)],[c_388,c_396,c_5974]) ).

tff(c_454487,plain,
    op1(e10,e12) = e11,
    inference(splitLeft,[status(thm)],[c_5975]) ).

tff(c_264,plain,
    op1(e11,e12) != op1(e10,e12),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_454488,plain,
    op1(e11,e12) != e11,
    inference(demodulation,[status(thm),theory(equality)],[c_454487,c_264]) ).

tff(c_455170,plain,
    op1(e11,e11) = e12,
    inference(splitLeft,[status(thm)],[c_5829]) ).

tff(c_222,plain,
    op1(e11,e12) != op1(e11,e11),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_455174,plain,
    op1(e11,e12) != e12,
    inference(demodulation,[status(thm),theory(equality)],[c_455170,c_222]) ).

tff(c_256,plain,
    op1(e13,e12) != op1(e11,e12),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_5865,plain,
    op1(e11,e12) != e10,
    inference(demodulation,[status(thm),theory(equality)],[c_4975,c_256]) ).

tff(c_258,plain,
    op1(e12,e12) != op1(e11,e12),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_5864,plain,
    op1(e11,e12) != e13,
    inference(demodulation,[status(thm),theory(equality)],[c_698,c_258]) ).

tff(c_20,plain,
    ( ( op1(e11,e12) = e13 )
    | ( op1(e11,e12) = e12 )
    | ( op1(e11,e12) = e11 )
    | ( op1(e11,e12) = e10 ) ),
    inference(cnfTransformation,[status(thm)],[f_152]) ).

tff(c_6002,plain,
    ( ( op1(e11,e12) = e12 )
    | ( op1(e11,e12) = e11 ) ),
    inference(negUnitSimplification,[status(thm)],[c_5865,c_5864,c_20]) ).

tff(c_455184,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_454488,c_455174,c_6002]) ).

tff(c_455185,plain,
    op1(e10,e10) = e12,
    inference(splitRight,[status(thm)],[c_5829]) ).

tff(c_284,plain,
    op1(e13,e10) != op1(e10,e10),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_455191,plain,
    op1(e13,e10) != e12,
    inference(demodulation,[status(thm),theory(equality)],[c_455185,c_284]) ).

tff(c_454951,plain,
    op1(e13,e11) = e12,
    inference(splitLeft,[status(thm)],[c_6010]) ).

tff(c_454953,plain,
    op1(e11,e11) != e12,
    inference(demodulation,[status(thm),theory(equality)],[c_454951,c_268]) ).

tff(c_454963,plain,
    op1(e10,e10) = e12,
    inference(negUnitSimplification,[status(thm)],[c_454953,c_5829]) ).

tff(c_172257,plain,
    op1(e11,e11) = e12,
    inference(splitLeft,[status(thm)],[c_5829]) ).

tff(c_392,plain,
    e13 != e10,
    inference(cnfTransformation,[status(thm)],[f_1092]) ).

tff(c_568,plain,
    ( ( op1(e10,e10) = e10 )
    | ( op1(e11,e11) = e10 )
    | ( op1(e12,e12) = e10 )
    | ( op1(e13,e13) = e10 ) ),
    inference(cnfTransformation,[status(thm)],[f_1235]) ).

tff(c_5724,plain,
    ( ( op1(e10,e10) = e10 )
    | ( op1(e11,e11) = e10 )
    | ( e13 = e10 )
    | ( e11 = e10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5048,c_698,c_568]) ).

tff(c_5815,plain,
    ( ( op1(e10,e10) = e10 )
    | ( op1(e11,e11) = e10 )
    | ( e13 = e10 ) ),
    inference(negUnitSimplification,[status(thm)],[c_396,c_5724]) ).

tff(c_5822,plain,
    ( ( op1(e10,e10) = e10 )
    | ( op1(e11,e11) = e10 ) ),
    inference(negUnitSimplification,[status(thm)],[c_392,c_5815]) ).

tff(c_172424,plain,
    ( ( op1(e10,e10) = e10 )
    | ( e12 = e10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_172257,c_5822]) ).

tff(c_172425,plain,
    op1(e10,e10) = e10,
    inference(negUnitSimplification,[status(thm)],[c_394,c_172424]) ).

tff(c_566,plain,
    ( ( op1(e10,e10) != e10 )
    | ( op1(e11,e11) = e10 )
    | ( op1(e12,e12) = e10 )
    | ( op1(e13,e13) = e10 ) ),
    inference(cnfTransformation,[status(thm)],[f_1235]) ).

tff(c_5725,plain,
    ( ( op1(e10,e10) != e10 )
    | ( op1(e11,e11) = e10 )
    | ( e13 = e10 )
    | ( e11 = e10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5048,c_698,c_566]) ).

tff(c_5814,plain,
    ( ( op1(e10,e10) != e10 )
    | ( op1(e11,e11) = e10 )
    | ( e13 = e10 ) ),
    inference(negUnitSimplification,[status(thm)],[c_396,c_5725]) ).

tff(c_5821,plain,
    ( ( op1(e10,e10) != e10 )
    | ( op1(e11,e11) = e10 ) ),
    inference(negUnitSimplification,[status(thm)],[c_392,c_5814]) ).

tff(c_172453,plain,
    e12 = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_172257,c_172425,c_5821]) ).

tff(c_172454,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_394,c_172453]) ).

tff(c_172455,plain,
    op1(e10,e10) = e12,
    inference(splitRight,[status(thm)],[c_5829]) ).

tff(c_34239,plain,
    op1(e10,e10) != e10,
    inference(splitLeft,[status(thm)],[c_5821]) ).

tff(c_34461,plain,
    op1(e11,e11) = e10,
    inference(negUnitSimplification,[status(thm)],[c_34239,c_5822]) ).

tff(c_34592,plain,
    ( ( op1(e10,e10) = e12 )
    | ( e12 = e10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_34461,c_5829]) ).

tff(c_34593,plain,
    op1(e10,e10) = e12,
    inference(negUnitSimplification,[status(thm)],[c_394,c_34592]) ).

tff(c_26877,plain,
    op1(e11,e11) = e12,
    inference(splitLeft,[status(thm)],[c_5829]) ).

tff(c_26926,plain,
    ( ( op1(e10,e10) != e10 )
    | ( e12 = e10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26877,c_5821]) ).

tff(c_26927,plain,
    op1(e10,e10) != e10,
    inference(negUnitSimplification,[status(thm)],[c_394,c_26926]) ).

tff(c_27039,plain,
    ( ( op1(e10,e10) = e10 )
    | ( e12 = e10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26877,c_5822]) ).

tff(c_27040,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_394,c_26927,c_27039]) ).

tff(c_27041,plain,
    op1(e10,e10) = e12,
    inference(splitRight,[status(thm)],[c_5829]) ).

tff(c_19354,plain,
    h2(e13) = e22,
    inference(splitLeft,[status(thm)],[c_5812]) ).

tff(c_19386,plain,
    ( ( h1(e13) = e20 )
    | ( e22 = e20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_19354,c_5805]) ).

tff(c_19387,plain,
    h1(e13) = e20,
    inference(negUnitSimplification,[status(thm)],[c_406,c_19386]) ).

tff(c_19416,plain,
    e22 = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_19354,c_19387,c_5807]) ).

tff(c_19417,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_406,c_19416]) ).

tff(c_19418,plain,
    h1(e13) = e22,
    inference(splitRight,[status(thm)],[c_5812]) ).

tff(c_334,plain,
    op2(e20,e22) != op2(e20,e20),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_5847,plain,
    op2(e20,e22) != h1(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_710,c_334]) ).

tff(c_19422,plain,
    op2(e20,e22) != e22,
    inference(demodulation,[status(thm),theory(equality)],[c_19418,c_5847]) ).

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

tff(c_380,plain,
    op2(e23,e20) != op2(e20,e20),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_5832,plain,
    op2(e23,e20) != h1(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_710,c_380]) ).

tff(c_19425,plain,
    op2(e23,e20) != e22,
    inference(demodulation,[status(thm),theory(equality)],[c_19418,c_5832]) ).

tff(c_23452,plain,
    op1(e11,e11) = e12,
    inference(splitLeft,[status(thm)],[c_5829]) ).

tff(c_23463,plain,
    ( ( op1(e10,e10) = e10 )
    | ( e12 = e10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_23452,c_5822]) ).

tff(c_23464,plain,
    op1(e10,e10) = e10,
    inference(negUnitSimplification,[status(thm)],[c_394,c_23463]) ).

tff(c_23548,plain,
    e12 = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_23452,c_23464,c_5821]) ).

tff(c_23549,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_394,c_23548]) ).

tff(c_23550,plain,
    op1(e10,e10) = e12,
    inference(splitRight,[status(thm)],[c_5829]) ).

tff(c_238,plain,
    op1(e10,e12) != op1(e10,e10),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_23553,plain,
    op1(e10,e12) != e12,
    inference(demodulation,[status(thm),theory(equality)],[c_23550,c_238]) ).

tff(c_732,plain,
    h3(e12) = e22,
    inference(cnfTransformation,[status(thm)],[f_1345]) ).

tff(c_24628,plain,
    ( ( e12 = e10 )
    | ( op1(e11,e11) = e10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_23550,c_5822]) ).

tff(c_24629,plain,
    op1(e11,e11) = e10,
    inference(negUnitSimplification,[status(thm)],[c_394,c_24628]) ).

tff(c_23236,plain,
    op1(e10,e10) != e10,
    inference(splitLeft,[status(thm)],[c_5821]) ).

tff(c_202,plain,
    op1(e13,e12) != op1(e13,e10),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_5873,plain,
    op1(e13,e10) != e10,
    inference(demodulation,[status(thm),theory(equality)],[c_4975,c_202]) ).

tff(c_200,plain,
    op1(e13,e13) != op1(e13,e10),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_5874,plain,
    op1(e13,e10) != e11,
    inference(demodulation,[status(thm),theory(equality)],[c_5048,c_200]) ).

tff(c_8,plain,
    ( ( op1(e13,e10) = e13 )
    | ( op1(e13,e10) = e12 )
    | ( op1(e13,e10) = e11 )
    | ( op1(e13,e10) = e10 ) ),
    inference(cnfTransformation,[status(thm)],[f_152]) ).

tff(c_6009,plain,
    ( ( op1(e13,e10) = e13 )
    | ( op1(e13,e10) = e12 ) ),
    inference(negUnitSimplification,[status(thm)],[c_5873,c_5874,c_8]) ).

tff(c_23202,plain,
    op1(e13,e10) = e12,
    inference(splitLeft,[status(thm)],[c_6009]) ).

tff(c_23203,plain,
    op1(e10,e10) != e12,
    inference(demodulation,[status(thm),theory(equality)],[c_23202,c_284]) ).

tff(c_23237,plain,
    op1(e11,e11) = e12,
    inference(negUnitSimplification,[status(thm)],[c_23203,c_5829]) ).

tff(c_23344,plain,
    ( ( op1(e10,e10) = e10 )
    | ( e12 = e10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_23237,c_5822]) ).

tff(c_23345,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_394,c_23236,c_23344]) ).

tff(c_23346,plain,
    op1(e11,e11) = e10,
    inference(splitRight,[status(thm)],[c_5821]) ).

tff(c_23347,plain,
    op1(e10,e10) = e10,
    inference(splitRight,[status(thm)],[c_5821]) ).

tff(c_23423,plain,
    ( ( e12 = e10 )
    | ( e12 = e10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_23346,c_23347,c_5829]) ).

tff(c_23424,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_394,c_394,c_23423]) ).

tff(c_23425,plain,
    op1(e13,e10) = e13,
    inference(splitRight,[status(thm)],[c_6009]) ).

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

tff(c_23432,plain,
    op1(e13,e11) != e13,
    inference(demodulation,[status(thm),theory(equality)],[c_23425,c_204]) ).

tff(c_23586,plain,
    op1(e13,e11) = e12,
    inference(negUnitSimplification,[status(thm)],[c_23432,c_6010]) ).

tff(c_210,plain,
    op1(e12,e12) != op1(e12,e11),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_5871,plain,
    op1(e12,e11) != e13,
    inference(demodulation,[status(thm),theory(equality)],[c_698,c_210]) ).

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_5967,plain,
    ( ( op1(e13,e11) = e13 )
    | ( op1(e11,e11) = e13 )
    | ( op1(e10,e11) = e13 ) ),
    inference(negUnitSimplification,[status(thm)],[c_5871,c_66]) ).

tff(c_25304,plain,
    ( ( e13 = e12 )
    | ( e13 = e10 )
    | ( op1(e10,e11) = e13 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_24629,c_23586,c_5967]) ).

tff(c_25305,plain,
    op1(e10,e11) = e13,
    inference(negUnitSimplification,[status(thm)],[c_392,c_386,c_25304]) ).

tff(c_22694,plain,
    ( ( e22 = e20 )
    | ( h2(e13) = e20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_19418,c_5805]) ).

tff(c_22695,plain,
    h2(e13) = e20,
    inference(negUnitSimplification,[status(thm)],[c_406,c_22694]) ).

tff(c_722,plain,
    op2(op2(e21,e21),e21) = h2(e10),
    inference(cnfTransformation,[status(thm)],[f_1338]) ).

tff(c_4012,plain,
    op2(h2(e13),e21) = h2(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_718,c_722]) ).

tff(c_22697,plain,
    op2(e20,e21) = h2(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_22695,c_4012]) ).

tff(c_294,plain,
    op2(e23,e22) != op2(e23,e21),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_5859,plain,
    op2(e23,e21) != e20,
    inference(demodulation,[status(thm),theory(equality)],[c_4777,c_294]) ).

tff(c_292,plain,
    op2(e23,e23) != op2(e23,e21),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_5860,plain,
    op2(e23,e21) != e21,
    inference(demodulation,[status(thm),theory(equality)],[c_4778,c_292]) ).

tff(c_102,plain,
    ( ( op2(e23,e21) = e23 )
    | ( op2(e23,e21) = e22 )
    | ( op2(e23,e21) = e21 )
    | ( op2(e23,e21) = e20 ) ),
    inference(cnfTransformation,[status(thm)],[f_534]) ).

tff(c_5951,plain,
    ( ( op2(e23,e21) = e23 )
    | ( op2(e23,e21) = e22 ) ),
    inference(negUnitSimplification,[status(thm)],[c_5859,c_5860,c_102]) ).

tff(c_23563,plain,
    op2(e23,e21) = e22,
    inference(splitLeft,[status(thm)],[c_5951]) ).

tff(c_306,plain,
    op2(e22,e22) != op2(e22,e21),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_5855,plain,
    op2(e22,e21) != e23,
    inference(demodulation,[status(thm),theory(equality)],[c_704,c_306]) ).

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_5904,plain,
    ( ( op2(e23,e21) = e23 )
    | ( op2(e22,e21) = e23 )
    | ( h2(e13) = e23 )
    | ( op2(e20,e21) = e23 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_718,c_162]) ).

tff(c_5905,plain,
    ( ( op2(e23,e21) = e23 )
    | ( h2(e13) = e23 )
    | ( op2(e20,e21) = e23 ) ),
    inference(negUnitSimplification,[status(thm)],[c_5855,c_5904]) ).

tff(c_25264,plain,
    ( ( e23 = e22 )
    | ( e23 = e20 )
    | ( h2(e10) = e23 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_22697,c_22695,c_23563,c_5905]) ).

tff(c_25265,plain,
    h2(e10) = e23,
    inference(negUnitSimplification,[status(thm)],[c_404,c_398,c_25264]) ).

tff(c_25271,plain,
    op2(e20,e21) = e23,
    inference(demodulation,[status(thm),theory(equality)],[c_25265,c_22697]) ).

tff(c_400,plain,
    e23 != e21,
    inference(cnfTransformation,[status(thm)],[f_1109]) ).

tff(c_154,plain,
    ( ( op2(e23,e22) = e21 )
    | ( op2(e22,e22) = e21 )
    | ( op2(e21,e22) = e21 )
    | ( op2(e20,e22) = e21 ) ),
    inference(cnfTransformation,[status(thm)],[f_789]) ).

tff(c_5912,plain,
    ( ( e21 = e20 )
    | ( e23 = e21 )
    | ( op2(e21,e22) = e21 )
    | ( op2(e20,e22) = e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_704,c_4777,c_154]) ).

tff(c_5913,plain,
    ( ( op2(e21,e22) = e21 )
    | ( op2(e20,e22) = e21 ) ),
    inference(negUnitSimplification,[status(thm)],[c_400,c_408,c_5912]) ).

tff(c_23440,plain,
    op2(e20,e22) = e21,
    inference(splitLeft,[status(thm)],[c_5913]) ).

tff(c_23573,plain,
    op1(e10,e12) = e11,
    inference(splitLeft,[status(thm)],[c_5975]) ).

tff(c_260,plain,
    op1(e13,e12) != op1(e10,e12),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_5863,plain,
    op1(e10,e12) != e10,
    inference(demodulation,[status(thm),theory(equality)],[c_4975,c_260]) ).

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_5956,plain,
    ( ( op1(e10,e13) = e10 )
    | ( op1(e10,e11) = e10 )
    | ( op1(e10,e10) = e10 ) ),
    inference(negUnitSimplification,[status(thm)],[c_5863,c_96]) ).

tff(c_25347,plain,
    ( ( op1(e10,e13) = e10 )
    | ( e13 = e10 )
    | ( e12 = e10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_23550,c_25305,c_5956]) ).

tff(c_25348,plain,
    op1(e10,e13) = e10,
    inference(negUnitSimplification,[status(thm)],[c_394,c_392,c_25347]) ).

tff(c_356,plain,
    op2(e23,e22) != op2(e20,e22),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_5837,plain,
    op2(e20,e22) != e20,
    inference(demodulation,[status(thm),theory(equality)],[c_4777,c_356]) ).

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_5878,plain,
    ( ( op2(e20,e23) = e20 )
    | ( op2(e20,e22) = e20 )
    | ( op2(e20,e21) = e20 )
    | ( h1(e13) = e20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_710,c_192]) ).

tff(c_5879,plain,
    ( ( op2(e20,e23) = e20 )
    | ( op2(e20,e21) = e20 )
    | ( h1(e13) = e20 ) ),
    inference(negUnitSimplification,[status(thm)],[c_5837,c_5878]) ).

tff(c_25289,plain,
    ( ( op2(e20,e23) = e20 )
    | ( e23 = e20 )
    | ( e22 = e20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_19418,c_25271,c_5879]) ).

tff(c_25290,plain,
    op2(e20,e23) = e20,
    inference(negUnitSimplification,[status(thm)],[c_406,c_404,c_25289]) ).

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

tff(c_24634,plain,
    op1(e11,e10) != e10,
    inference(demodulation,[status(thm),theory(equality)],[c_24629,c_228]) ).

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_5957,plain,
    ( ( op1(e12,e10) = e10 )
    | ( op1(e11,e10) = e10 )
    | ( op1(e10,e10) = e10 ) ),
    inference(negUnitSimplification,[status(thm)],[c_5873,c_94]) ).

tff(c_25314,plain,
    ( ( op1(e12,e10) = e10 )
    | ( op1(e11,e10) = e10 )
    | ( e12 = e10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_23550,c_5957]) ).

tff(c_25315,plain,
    op1(e12,e10) = e10,
    inference(negUnitSimplification,[status(thm)],[c_394,c_24634,c_25314]) ).

tff(c_90,plain,
    ( ( op1(e13,e10) = e11 )
    | ( op1(e12,e10) = e11 )
    | ( op1(e11,e10) = e11 )
    | ( op1(e10,e10) = e11 ) ),
    inference(cnfTransformation,[status(thm)],[f_407]) ).

tff(c_5959,plain,
    ( ( op1(e12,e10) = e11 )
    | ( op1(e11,e10) = e11 )
    | ( op1(e10,e10) = e11 ) ),
    inference(negUnitSimplification,[status(thm)],[c_5874,c_90]) ).

tff(c_25338,plain,
    ( ( e11 = e10 )
    | ( op1(e11,e10) = e11 )
    | ( e12 = e11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_23550,c_25315,c_5959]) ).

tff(c_25339,plain,
    op1(e11,e10) = e11,
    inference(negUnitSimplification,[status(thm)],[c_390,c_396,c_25338]) ).

tff(c_22700,plain,
    op2(e21,e21) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_22695,c_718]) ).

tff(c_22730,plain,
    op2(e22,e20) = h1(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_19418,c_4462]) ).

tff(c_338,plain,
    op2(e23,e23) != op2(e22,e23),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_5845,plain,
    op2(e22,e23) != e21,
    inference(demodulation,[status(thm),theory(equality)],[c_4778,c_338]) ).

tff(c_156,plain,
    ( ( op2(e22,e23) = e21 )
    | ( op2(e22,e22) = e21 )
    | ( op2(e22,e21) = e21 )
    | ( op2(e22,e20) = e21 ) ),
    inference(cnfTransformation,[status(thm)],[f_789]) ).

tff(c_5910,plain,
    ( ( op2(e22,e23) = e21 )
    | ( e23 = e21 )
    | ( op2(e22,e21) = e21 )
    | ( op2(e22,e20) = e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_704,c_156]) ).

tff(c_5911,plain,
    ( ( op2(e22,e21) = e21 )
    | ( op2(e22,e20) = e21 ) ),
    inference(negUnitSimplification,[status(thm)],[c_400,c_5845,c_5910]) ).

tff(c_23600,plain,
    ( ( op2(e22,e21) = e21 )
    | ( h1(e10) = e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_22730,c_5911]) ).

tff(c_23601,plain,
    h1(e10) = e21,
    inference(splitLeft,[status(thm)],[c_23600]) ).

tff(c_712,plain,
    op2(op2(e20,e20),op2(e20,e20)) = h1(e11),
    inference(cnfTransformation,[status(thm)],[f_1331]) ).

tff(c_4463,plain,
    op2(h1(e13),h1(e13)) = h1(e11),
    inference(demodulation,[status(thm),theory(equality)],[c_710,c_710,c_712]) ).

tff(c_2656,plain,
    ( ( h1(e12) != e20 )
    | ( h1(e10) != e21 )
    | ( h1(e10) != e22 )
    | ( h1(e11) != e23 )
    | ( op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) )
    | ( op2(h1(e13),h1(e12)) != h1(op1(e13,e12)) )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(h1(e12),h1(e13)) != h1(op1(e12,e13)) )
    | ( op2(h1(e12),h1(e12)) != h1(op1(e12,e12)) )
    | ( op2(h1(e12),h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(h1(e12),h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),h1(e12)) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),h1(e12)) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(cnfTransformation,[status(thm)],[f_1608]) ).

tff(c_4455,plain,
    ( ( h1(e10) != e21 )
    | ( h1(e10) != e22 )
    | ( h1(e11) != e23 )
    | ( op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) )
    | ( op2(h1(e13),e20) != h1(op1(e13,e12)) )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(e20,h1(e13)) != h1(op1(e12,e13)) )
    | ( h1(op1(e12,e12)) != op2(e20,e20) )
    | ( op2(e20,h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(e20,h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),e20) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),e20) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_716,c_716,c_716,c_716,c_716,c_716,c_716,c_716,c_716,c_2656]) ).

tff(c_4527,plain,
    ( ( h1(e10) != e21 )
    | ( h1(e10) != e22 )
    | ( h1(e11) != e23 )
    | ( op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) )
    | ( op2(h1(e13),e20) != h1(op1(e13,e12)) )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(e20,h1(e13)) != h1(op1(e12,e13)) )
    | ( h1(op1(e12,e12)) != h1(e13) )
    | ( op2(e20,h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(e20,h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),e20) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),e20) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_710,c_4455]) ).

tff(c_4591,plain,
    ( ( h1(e10) != e21 )
    | ( h1(e10) != e22 )
    | ( h1(e11) != e23 )
    | ( h1(op1(e13,e13)) != h1(e11) )
    | ( h1(op1(e13,e12)) != h1(e10) )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(e20,h1(e13)) != h1(op1(e12,e13)) )
    | ( h1(op1(e12,e12)) != h1(e13) )
    | ( op2(e20,h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(e20,h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),e20) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),e20) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4462,c_4463,c_4527]) ).

tff(c_5052,plain,
    ( ( h1(e10) != e21 )
    | ( h1(e10) != e22 )
    | ( h1(e11) != e23 )
    | ( h1(op1(e13,e13)) != h1(e11) )
    | ( h1(op1(e13,e12)) != h1(e10) )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(e20,h1(e13)) != h1(op1(e12,e13)) )
    | ( op2(e20,h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(e20,h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),e20) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),e20) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_698,c_4591]) ).

tff(c_5419,plain,
    ( ( h1(e10) != e21 )
    | ( h1(e10) != e22 )
    | ( h1(e11) != e23 )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(e20,h1(e13)) != h1(op1(e12,e13)) )
    | ( op2(e20,h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(e20,h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),e20) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),e20) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4975,c_5048,c_5052]) ).

tff(c_22692,plain,
    ( ( h1(e10) != e21 )
    | ( h1(e10) != e22 )
    | ( h1(e11) != e23 )
    | ( op2(e22,h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(e22,h1(e10)) != h1(op1(e13,e10)) )
    | ( h1(op1(e12,e13)) != op2(e20,e22) )
    | ( op2(e20,h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(e20,h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),e22) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),e20) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),e22) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),e20) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_19418,c_19418,c_19418,c_19418,c_19418,c_5419]) ).

tff(c_22693,plain,
    op2(h1(e10),h1(e10)) != h1(op1(e10,e10)),
    inference(splitLeft,[status(thm)],[c_22692]) ).

tff(c_23749,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_22700,c_23601,c_23601,c_716,c_23550,c_22693]) ).

tff(c_23751,plain,
    h1(e10) != e21,
    inference(splitRight,[status(thm)],[c_23600]) ).

tff(c_296,plain,
    op2(e23,e23) != op2(e23,e20),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_5858,plain,
    op2(e23,e20) != e21,
    inference(demodulation,[status(thm),theory(equality)],[c_4778,c_296]) ).

tff(c_186,plain,
    ( ( op2(e23,e20) = e21 )
    | ( op2(e22,e20) = e21 )
    | ( op2(e21,e20) = e21 )
    | ( op2(e20,e20) = e21 ) ),
    inference(cnfTransformation,[status(thm)],[f_789]) ).

tff(c_5884,plain,
    ( ( op2(e23,e20) = e21 )
    | ( op2(e22,e20) = e21 )
    | ( op2(e21,e20) = e21 )
    | ( h1(e13) = e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_710,c_186]) ).

tff(c_5885,plain,
    ( ( op2(e22,e20) = e21 )
    | ( op2(e21,e20) = e21 )
    | ( h1(e13) = e21 ) ),
    inference(negUnitSimplification,[status(thm)],[c_5858,c_5884]) ).

tff(c_25232,plain,
    ( ( h1(e10) = e21 )
    | ( op2(e21,e20) = e21 )
    | ( e22 = e21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_19418,c_22730,c_5885]) ).

tff(c_25233,plain,
    op2(e21,e20) = e21,
    inference(negUnitSimplification,[status(thm)],[c_402,c_23751,c_25232]) ).

tff(c_23577,plain,
    op1(e11,e12) != e11,
    inference(demodulation,[status(thm),theory(equality)],[c_23573,c_264]) ).

tff(c_24617,plain,
    op1(e11,e12) = e12,
    inference(negUnitSimplification,[status(thm)],[c_23577,c_6002]) ).

tff(c_360,plain,
    op2(e21,e22) != op2(e20,e22),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_23444,plain,
    op2(e21,e22) != e21,
    inference(demodulation,[status(thm),theory(equality)],[c_23440,c_360]) ).

tff(c_352,plain,
    op2(e23,e22) != op2(e21,e22),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_5839,plain,
    op2(e21,e22) != e20,
    inference(demodulation,[status(thm),theory(equality)],[c_4777,c_352]) ).

tff(c_354,plain,
    op2(e22,e22) != op2(e21,e22),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_5838,plain,
    op2(e21,e22) != e23,
    inference(demodulation,[status(thm),theory(equality)],[c_704,c_354]) ).

tff(c_116,plain,
    ( ( op2(e21,e22) = e23 )
    | ( op2(e21,e22) = e22 )
    | ( op2(e21,e22) = e21 )
    | ( op2(e21,e22) = e20 ) ),
    inference(cnfTransformation,[status(thm)],[f_534]) ).

tff(c_5942,plain,
    ( ( op2(e21,e22) = e22 )
    | ( op2(e21,e22) = e21 ) ),
    inference(negUnitSimplification,[status(thm)],[c_5839,c_5838,c_116]) ).

tff(c_24925,plain,
    op2(e21,e22) = e22,
    inference(negUnitSimplification,[status(thm)],[c_23444,c_5942]) ).

tff(c_206,plain,
    op1(e12,e13) != op1(e12,e12),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_5872,plain,
    op1(e12,e13) != e13,
    inference(demodulation,[status(thm),theory(equality)],[c_698,c_206]) ).

tff(c_34,plain,
    ( ( op1(e13,e13) = e13 )
    | ( op1(e12,e13) = e13 )
    | ( op1(e11,e13) = e13 )
    | ( op1(e10,e13) = e13 ) ),
    inference(cnfTransformation,[status(thm)],[f_407]) ).

tff(c_5998,plain,
    ( ( e13 = e11 )
    | ( op1(e12,e13) = e13 )
    | ( op1(e11,e13) = e13 )
    | ( op1(e10,e13) = e13 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5048,c_34]) ).

tff(c_5999,plain,
    ( ( op1(e11,e13) = e13 )
    | ( op1(e10,e13) = e13 ) ),
    inference(negUnitSimplification,[status(thm)],[c_5872,c_388,c_5998]) ).

tff(c_25013,plain,
    op1(e10,e13) = e13,
    inference(splitLeft,[status(thm)],[c_5999]) ).

tff(c_252,plain,
    op1(e11,e13) != op1(e10,e13),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_25015,plain,
    op1(e11,e13) != e13,
    inference(demodulation,[status(thm),theory(equality)],[c_25013,c_252]) ).

tff(c_270,plain,
    op1(e12,e11) != op1(e11,e11),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_24631,plain,
    op1(e12,e11) != e10,
    inference(demodulation,[status(thm),theory(equality)],[c_24629,c_270]) ).

tff(c_242,plain,
    op1(e13,e13) != op1(e12,e13),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_5869,plain,
    op1(e12,e13) != e11,
    inference(demodulation,[status(thm),theory(equality)],[c_5048,c_242]) ).

tff(c_60,plain,
    ( ( op1(e12,e13) = e11 )
    | ( op1(e12,e12) = e11 )
    | ( op1(e12,e11) = e11 )
    | ( op1(e12,e10) = e11 ) ),
    inference(cnfTransformation,[status(thm)],[f_407]) ).

tff(c_5972,plain,
    ( ( op1(e12,e13) = e11 )
    | ( e13 = e11 )
    | ( op1(e12,e11) = e11 )
    | ( op1(e12,e10) = e11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_698,c_60]) ).

tff(c_5973,plain,
    ( ( op1(e12,e11) = e11 )
    | ( op1(e12,e10) = e11 ) ),
    inference(negUnitSimplification,[status(thm)],[c_388,c_5869,c_5972]) ).

tff(c_24643,plain,
    op1(e12,e10) = e11,
    inference(splitLeft,[status(thm)],[c_5973]) ).

tff(c_216,plain,
    op1(e12,e11) != op1(e12,e10),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_24646,plain,
    op1(e12,e11) != e11,
    inference(demodulation,[status(thm),theory(equality)],[c_24643,c_216]) ).

tff(c_266,plain,
    op1(e13,e11) != op1(e12,e11),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_23588,plain,
    op1(e12,e11) != e12,
    inference(demodulation,[status(thm),theory(equality)],[c_23586,c_266]) ).

tff(c_14,plain,
    ( ( op1(e12,e11) = e13 )
    | ( op1(e12,e11) = e12 )
    | ( op1(e12,e11) = e11 )
    | ( op1(e12,e11) = e10 ) ),
    inference(cnfTransformation,[status(thm)],[f_152]) ).

tff(c_6005,plain,
    ( ( op1(e12,e11) = e12 )
    | ( op1(e12,e11) = e11 )
    | ( op1(e12,e11) = e10 ) ),
    inference(negUnitSimplification,[status(thm)],[c_5871,c_14]) ).

tff(c_24891,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_24631,c_24646,c_23588,c_6005]) ).

tff(c_24893,plain,
    op1(e12,e10) != e11,
    inference(splitRight,[status(thm)],[c_5973]) ).

tff(c_286,plain,
    op1(e12,e10) != op1(e10,e10),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_23557,plain,
    op1(e12,e10) != e12,
    inference(demodulation,[status(thm),theory(equality)],[c_23550,c_286]) ).

tff(c_214,plain,
    op1(e12,e12) != op1(e12,e10),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_5870,plain,
    op1(e12,e10) != e13,
    inference(demodulation,[status(thm),theory(equality)],[c_698,c_214]) ).

tff(c_16,plain,
    ( ( op1(e12,e10) = e13 )
    | ( op1(e12,e10) = e12 )
    | ( op1(e12,e10) = e11 )
    | ( op1(e12,e10) = e10 ) ),
    inference(cnfTransformation,[status(thm)],[f_152]) ).

tff(c_6004,plain,
    ( ( op1(e12,e10) = e12 )
    | ( op1(e12,e10) = e11 )
    | ( op1(e12,e10) = e10 ) ),
    inference(negUnitSimplification,[status(thm)],[c_5870,c_16]) ).

tff(c_25144,plain,
    op1(e12,e10) = e10,
    inference(negUnitSimplification,[status(thm)],[c_24893,c_23557,c_6004]) ).

tff(c_25155,plain,
    ( ( e11 = e10 )
    | ( op1(e11,e10) = e11 )
    | ( e12 = e11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_23550,c_25144,c_5959]) ).

tff(c_25156,plain,
    op1(e11,e10) = e11,
    inference(negUnitSimplification,[status(thm)],[c_390,c_396,c_25155]) ).

tff(c_68,plain,
    ( ( op1(e11,e13) = e13 )
    | ( op1(e11,e12) = e13 )
    | ( op1(e11,e11) = e13 )
    | ( op1(e11,e10) = e13 ) ),
    inference(cnfTransformation,[status(thm)],[f_407]) ).

tff(c_5966,plain,
    ( ( op1(e11,e13) = e13 )
    | ( op1(e11,e11) = e13 )
    | ( op1(e11,e10) = e13 ) ),
    inference(negUnitSimplification,[status(thm)],[c_5864,c_68]) ).

tff(c_25169,plain,
    ( ( op1(e11,e13) = e13 )
    | ( e13 = e10 )
    | ( e13 = e11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_25156,c_24629,c_5966]) ).

tff(c_25170,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_388,c_392,c_25015,c_25169]) ).

tff(c_25171,plain,
    op1(e11,e13) = e13,
    inference(splitRight,[status(thm)],[c_5999]) ).

tff(c_734,plain,
    op2(e23,e23) = h4(e13),
    inference(cnfTransformation,[status(thm)],[f_1352]) ).

tff(c_4784,plain,
    h4(e13) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_4778,c_734]) ).

tff(c_738,plain,
    op2(op2(e23,e23),e23) = h4(e10),
    inference(cnfTransformation,[status(thm)],[f_1352]) ).

tff(c_3110,plain,
    op2(h4(e13),e23) = h4(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_734,c_738]) ).

tff(c_4785,plain,
    op2(e21,e23) = h4(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_4784,c_3110]) ).

tff(c_316,plain,
    op2(e21,e23) != op2(e21,e21),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_5852,plain,
    h4(e10) != h2(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_4785,c_718,c_316]) ).

tff(c_22704,plain,
    h4(e10) != e20,
    inference(demodulation,[status(thm),theory(equality)],[c_22695,c_5852]) ).

tff(c_22946,plain,
    op2(e20,e22) = e21,
    inference(splitLeft,[status(thm)],[c_5913]) ).

tff(c_22951,plain,
    op2(e21,e22) != e21,
    inference(demodulation,[status(thm),theory(equality)],[c_22946,c_360]) ).

tff(c_23076,plain,
    op2(e21,e22) = e22,
    inference(negUnitSimplification,[status(thm)],[c_22951,c_5942]) ).

tff(c_314,plain,
    op2(e21,e23) != op2(e21,e22),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_5853,plain,
    op2(e21,e22) != h4(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_4785,c_314]) ).

tff(c_23079,plain,
    h4(e10) != e22,
    inference(demodulation,[status(thm),theory(equality)],[c_23076,c_5853]) ).

tff(c_302,plain,
    op2(e22,e23) != op2(e22,e22),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_5856,plain,
    op2(e22,e23) != e23,
    inference(demodulation,[status(thm),theory(equality)],[c_704,c_302]) ).

tff(c_130,plain,
    ( ( op2(e23,e23) = e23 )
    | ( op2(e22,e23) = e23 )
    | ( op2(e21,e23) = e23 )
    | ( op2(e20,e23) = e23 ) ),
    inference(cnfTransformation,[status(thm)],[f_789]) ).

tff(c_5936,plain,
    ( ( e23 = e21 )
    | ( op2(e22,e23) = e23 )
    | ( h4(e10) = e23 )
    | ( op2(e20,e23) = e23 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4785,c_4778,c_130]) ).

tff(c_5937,plain,
    ( ( h4(e10) = e23 )
    | ( op2(e20,e23) = e23 ) ),
    inference(negUnitSimplification,[status(thm)],[c_5856,c_400,c_5936]) ).

tff(c_22759,plain,
    op2(e20,e23) = e23,
    inference(splitLeft,[status(thm)],[c_5937]) ).

tff(c_348,plain,
    op2(e21,e23) != op2(e20,e23),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_5841,plain,
    op2(e20,e23) != h4(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_4785,c_348]) ).

tff(c_22764,plain,
    h4(e10) != e23,
    inference(demodulation,[status(thm),theory(equality)],[c_22759,c_5841]) ).

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

tff(c_5844,plain,
    h4(e10) != e21,
    inference(demodulation,[status(thm),theory(equality)],[c_4778,c_4785,c_340]) ).

tff(c_114,plain,
    ( ( op2(e21,e23) = e23 )
    | ( op2(e21,e23) = e22 )
    | ( op2(e21,e23) = e21 )
    | ( op2(e21,e23) = e20 ) ),
    inference(cnfTransformation,[status(thm)],[f_534]) ).

tff(c_5943,plain,
    ( ( h4(e10) = e23 )
    | ( h4(e10) = e22 )
    | ( h4(e10) = e21 )
    | ( h4(e10) = e20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4785,c_4785,c_4785,c_4785,c_114]) ).

tff(c_5944,plain,
    ( ( h4(e10) = e23 )
    | ( h4(e10) = e22 )
    | ( h4(e10) = e20 ) ),
    inference(negUnitSimplification,[status(thm)],[c_5844,c_5943]) ).

tff(c_23116,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_22704,c_23079,c_22764,c_5944]) ).

tff(c_23118,plain,
    op2(e20,e22) != e21,
    inference(splitRight,[status(thm)],[c_5913]) ).

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

tff(c_5836,plain,
    op2(e20,e22) != e23,
    inference(demodulation,[status(thm),theory(equality)],[c_704,c_358]) ).

tff(c_124,plain,
    ( ( op2(e20,e22) = e23 )
    | ( op2(e20,e22) = e22 )
    | ( op2(e20,e22) = e21 )
    | ( op2(e20,e22) = e20 ) ),
    inference(cnfTransformation,[status(thm)],[f_534]) ).

tff(c_5939,plain,
    ( ( op2(e20,e22) = e22 )
    | ( op2(e20,e22) = e21 ) ),
    inference(negUnitSimplification,[status(thm)],[c_5837,c_5836,c_124]) ).

tff(c_23182,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_23118,c_19422,c_5939]) ).

tff(c_23183,plain,
    h4(e10) = e23,
    inference(splitRight,[status(thm)],[c_5937]) ).

tff(c_25244,plain,
    ( ( h1(e10) = e20 )
    | ( e21 = e20 )
    | ( e22 = e20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_19418,c_25233,c_22730,c_5881]) ).

tff(c_25245,plain,
    h1(e10) = e20,
    inference(negUnitSimplification,[status(thm)],[c_406,c_408,c_25244]) ).

tff(c_25250,plain,
    op2(e22,e20) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_25245,c_22730]) ).

tff(c_23750,plain,
    op2(e22,e21) = e21,
    inference(splitRight,[status(thm)],[c_23600]) ).

tff(c_24892,plain,
    op1(e12,e11) = e11,
    inference(splitRight,[status(thm)],[c_5973]) ).

tff(c_10,plain,
    ( ( op1(e12,e13) = e13 )
    | ( op1(e12,e13) = e12 )
    | ( op1(e12,e13) = e11 )
    | ( op1(e12,e13) = e10 ) ),
    inference(cnfTransformation,[status(thm)],[f_152]) ).

tff(c_6008,plain,
    ( ( op1(e12,e13) = e12 )
    | ( op1(e12,e13) = e10 ) ),
    inference(negUnitSimplification,[status(thm)],[c_5869,c_5872,c_10]) ).

tff(c_23762,plain,
    op1(e12,e13) = e10,
    inference(splitLeft,[status(thm)],[c_6008]) ).

tff(c_212,plain,
    op1(e12,e13) != op1(e12,e10),
    inference(cnfTransformation,[status(thm)],[f_932]) ).

tff(c_23766,plain,
    op1(e12,e10) != e10,
    inference(demodulation,[status(thm),theory(equality)],[c_23762,c_212]) ).

tff(c_23815,plain,
    ( ( e12 = e10 )
    | ( op1(e11,e11) = e10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_23550,c_5822]) ).

tff(c_23816,plain,
    op1(e11,e11) = e10,
    inference(negUnitSimplification,[status(thm)],[c_394,c_23815]) ).

tff(c_23821,plain,
    op1(e11,e10) != e10,
    inference(demodulation,[status(thm),theory(equality)],[c_23816,c_228]) ).

tff(c_23803,plain,
    op1(e12,e10) = e11,
    inference(splitLeft,[status(thm)],[c_5973]) ).

tff(c_24333,plain,
    ( ( e11 = e10 )
    | ( op1(e11,e10) = e10 )
    | ( e12 = e10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_23550,c_23803,c_5957]) ).

tff(c_24334,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_394,c_23821,c_396,c_24333]) ).

tff(c_24336,plain,
    op1(e12,e10) != e11,
    inference(splitRight,[status(thm)],[c_5973]) ).

tff(c_24601,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_23766,c_24336,c_23557,c_6004]) ).

tff(c_24602,plain,
    op1(e12,e13) = e12,
    inference(splitRight,[status(thm)],[c_6008]) ).

tff(c_332,plain,
    op2(e20,e23) != op2(e20,e20),
    inference(cnfTransformation,[status(thm)],[f_1075]) ).

tff(c_5848,plain,
    op2(e20,e23) != h1(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_710,c_332]) ).

tff(c_19423,plain,
    op2(e20,e23) != e22,
    inference(demodulation,[status(thm),theory(equality)],[c_19418,c_5848]) ).

tff(c_106,plain,
    ( ( op2(e22,e23) = e23 )
    | ( op2(e22,e23) = e22 )
    | ( op2(e22,e23) = e21 )
    | ( op2(e22,e23) = e20 ) ),
    inference(cnfTransformation,[status(thm)],[f_534]) ).

tff(c_5949,plain,
    ( ( op2(e22,e23) = e22 )
    | ( op2(e22,e23) = e20 ) ),
    inference(negUnitSimplification,[status(thm)],[c_5845,c_5856,c_106]) ).

tff(c_24934,plain,
    op2(e22,e23) = e20,
    inference(splitLeft,[status(thm)],[c_5949]) ).

tff(c_134,plain,
    ( ( op2(e23,e23) = e22 )
    | ( op2(e22,e23) = e22 )
    | ( op2(e21,e23) = e22 )
    | ( op2(e20,e23) = e22 ) ),
    inference(cnfTransformation,[status(thm)],[f_789]) ).

tff(c_5932,plain,
    ( ( e22 = e21 )
    | ( op2(e22,e23) = e22 )
    | ( h4(e10) = e22 )
    | ( op2(e20,e23) = e22 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4785,c_4778,c_134]) ).

tff(c_5933,plain,
    ( ( op2(e22,e23) = e22 )
    | ( h4(e10) = e22 )
    | ( op2(e20,e23) = e22 ) ),
    inference(negUnitSimplification,[status(thm)],[c_402,c_5932]) ).

tff(c_24999,plain,
    ( ( e22 = e20 )
    | ( e23 = e22 )
    | ( op2(e20,e23) = e22 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_23183,c_24934,c_5933]) ).

tff(c_25000,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_19423,c_398,c_406,c_24999]) ).

tff(c_25001,plain,
    op2(e22,e23) = e22,
    inference(splitRight,[status(thm)],[c_5949]) ).

tff(c_104,plain,
    ( ( op2(e23,e20) = e23 )
    | ( op2(e23,e20) = e22 )
    | ( op2(e23,e20) = e21 )
    | ( op2(e23,e20) = e20 ) ),
    inference(cnfTransformation,[status(thm)],[f_534]) ).

tff(c_5950,plain,
    ( ( op2(e23,e20) = e23 )
    | ( op2(e23,e20) = e22 ) ),
    inference(negUnitSimplification,[status(thm)],[c_5857,c_5858,c_104]) ).

tff(c_24907,plain,
    op2(e23,e20) = e23,
    inference(negUnitSimplification,[status(thm)],[c_19425,c_5950]) ).

tff(c_1308,plain,
    ( ( h3(e10) != e20 )
    | ( h3(e11) != e21 )
    | ( h3(e12) != e22 )
    | ( h3(e13) != e23 )
    | ( op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) )
    | ( op2(h3(e13),h3(e12)) != h3(op1(e13,e12)) )
    | ( op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) )
    | ( op2(h3(e13),h3(e10)) != h3(op1(e13,e10)) )
    | ( op2(h3(e12),h3(e13)) != h3(op1(e12,e13)) )
    | ( op2(h3(e12),h3(e12)) != h3(op1(e12,e12)) )
    | ( op2(h3(e12),h3(e11)) != h3(op1(e12,e11)) )
    | ( op2(h3(e12),h3(e10)) != h3(op1(e12,e10)) )
    | ( op2(h3(e11),h3(e13)) != h3(op1(e11,e13)) )
    | ( op2(h3(e11),h3(e12)) != h3(op1(e11,e12)) )
    | ( op2(h3(e11),h3(e11)) != h3(op1(e11,e11)) )
    | ( op2(h3(e11),h3(e10)) != h3(op1(e11,e10)) )
    | ( op2(h3(e10),h3(e13)) != h3(op1(e10,e13)) )
    | ( op2(h3(e10),h3(e12)) != h3(op1(e10,e12)) )
    | ( op2(h3(e10),h3(e11)) != h3(op1(e10,e11)) )
    | ( op2(h3(e10),h3(e10)) != h3(op1(e10,e10)) ) ),
    inference(cnfTransformation,[status(thm)],[f_1608]) ).

tff(c_3462,plain,
    ( ( h3(e10) != e20 )
    | ( h3(e11) != e21 )
    | ( h3(e13) != e23 )
    | ( op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) )
    | ( op2(h3(e13),e22) != h3(op1(e13,e12)) )
    | ( op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) )
    | ( op2(h3(e13),h3(e10)) != h3(op1(e13,e10)) )
    | ( op2(e22,h3(e13)) != h3(op1(e12,e13)) )
    | ( h3(op1(e12,e12)) != op2(e22,e22) )
    | ( op2(e22,h3(e11)) != h3(op1(e12,e11)) )
    | ( op2(e22,h3(e10)) != h3(op1(e12,e10)) )
    | ( op2(h3(e11),h3(e13)) != h3(op1(e11,e13)) )
    | ( op2(h3(e11),e22) != h3(op1(e11,e12)) )
    | ( op2(h3(e11),h3(e11)) != h3(op1(e11,e11)) )
    | ( op2(h3(e11),h3(e10)) != h3(op1(e11,e10)) )
    | ( op2(h3(e10),h3(e13)) != h3(op1(e10,e13)) )
    | ( op2(h3(e10),e22) != h3(op1(e10,e12)) )
    | ( op2(h3(e10),h3(e11)) != h3(op1(e10,e11)) )
    | ( op2(h3(e10),h3(e10)) != h3(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_732,c_732,c_732,c_732,c_732,c_732,c_732,c_732,c_732,c_1308]) ).

tff(c_3617,plain,
    ( ( h3(e10) != e20 )
    | ( h3(e11) != e21 )
    | ( h3(e13) != e23 )
    | ( op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) )
    | ( op2(h3(e13),e22) != h3(op1(e13,e12)) )
    | ( op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) )
    | ( op2(h3(e13),h3(e10)) != h3(op1(e13,e10)) )
    | ( op2(e22,h3(e13)) != h3(op1(e12,e13)) )
    | ( h3(op1(e12,e12)) != h3(e13) )
    | ( op2(e22,h3(e11)) != h3(op1(e12,e11)) )
    | ( op2(e22,h3(e10)) != h3(op1(e12,e10)) )
    | ( op2(h3(e11),h3(e13)) != h3(op1(e11,e13)) )
    | ( op2(h3(e11),e22) != h3(op1(e11,e12)) )
    | ( op2(h3(e11),h3(e11)) != h3(op1(e11,e11)) )
    | ( op2(h3(e11),h3(e10)) != h3(op1(e11,e10)) )
    | ( op2(h3(e10),h3(e13)) != h3(op1(e10,e13)) )
    | ( op2(h3(e10),e22) != h3(op1(e10,e12)) )
    | ( op2(h3(e10),h3(e11)) != h3(op1(e10,e11)) )
    | ( op2(h3(e10),h3(e10)) != h3(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_726,c_3462]) ).

tff(c_3681,plain,
    ( ( h3(e10) != e20 )
    | ( h3(e11) != e21 )
    | ( h3(e13) != e23 )
    | ( h3(op1(e13,e13)) != h3(e11) )
    | ( h3(op1(e13,e12)) != h3(e10) )
    | ( op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) )
    | ( op2(h3(e13),h3(e10)) != h3(op1(e13,e10)) )
    | ( op2(e22,h3(e13)) != h3(op1(e12,e13)) )
    | ( h3(op1(e12,e12)) != h3(e13) )
    | ( op2(e22,h3(e11)) != h3(op1(e12,e11)) )
    | ( op2(e22,h3(e10)) != h3(op1(e12,e10)) )
    | ( op2(h3(e11),h3(e13)) != h3(op1(e11,e13)) )
    | ( op2(h3(e11),e22) != h3(op1(e11,e12)) )
    | ( op2(h3(e11),h3(e11)) != h3(op1(e11,e11)) )
    | ( op2(h3(e11),h3(e10)) != h3(op1(e11,e10)) )
    | ( op2(h3(e10),h3(e13)) != h3(op1(e10,e13)) )
    | ( op2(h3(e10),e22) != h3(op1(e10,e12)) )
    | ( op2(h3(e10),h3(e11)) != h3(op1(e10,e11)) )
    | ( op2(h3(e10),h3(e10)) != h3(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_3562,c_3563,c_3617]) ).

tff(c_4656,plain,
    ( ( h3(e11) != e21 )
    | ( h3(e13) != e23 )
    | ( h3(op1(e13,e13)) != h3(e11) )
    | ( h3(op1(e13,e12)) != e20 )
    | ( op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) )
    | ( op2(h3(e13),e20) != h3(op1(e13,e10)) )
    | ( op2(e22,h3(e13)) != h3(op1(e12,e13)) )
    | ( h3(op1(e12,e12)) != h3(e13) )
    | ( op2(e22,h3(e11)) != h3(op1(e12,e11)) )
    | ( h3(op1(e12,e10)) != op2(e22,e20) )
    | ( op2(h3(e11),h3(e13)) != h3(op1(e11,e13)) )
    | ( op2(h3(e11),e22) != h3(op1(e11,e12)) )
    | ( op2(h3(e11),h3(e11)) != h3(op1(e11,e11)) )
    | ( op2(h3(e11),e20) != h3(op1(e11,e10)) )
    | ( op2(e20,h3(e13)) != h3(op1(e10,e13)) )
    | ( h3(op1(e10,e12)) != op2(e20,e22) )
    | ( op2(e20,h3(e11)) != h3(op1(e10,e11)) )
    | ( h3(op1(e10,e10)) != op2(e20,e20) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4592,c_4592,c_4592,c_4592,c_4592,c_4592,c_4592,c_4592,c_4592,c_4592,c_3681]) ).

tff(c_4724,plain,
    ( ( h3(e11) != e21 )
    | ( h3(e13) != e23 )
    | ( h3(op1(e13,e13)) != h3(e11) )
    | ( h3(op1(e13,e12)) != e20 )
    | ( op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) )
    | ( op2(h3(e13),e20) != h3(op1(e13,e10)) )
    | ( op2(e22,h3(e13)) != h3(op1(e12,e13)) )
    | ( h3(op1(e12,e12)) != h3(e13) )
    | ( op2(e22,h3(e11)) != h3(op1(e12,e11)) )
    | ( h3(op1(e12,e10)) != op2(e22,e20) )
    | ( op2(h3(e11),h3(e13)) != h3(op1(e11,e13)) )
    | ( op2(h3(e11),e22) != h3(op1(e11,e12)) )
    | ( op2(h3(e11),h3(e11)) != h3(op1(e11,e11)) )
    | ( op2(h3(e11),e20) != h3(op1(e11,e10)) )
    | ( op2(e20,h3(e13)) != h3(op1(e10,e13)) )
    | ( h3(op1(e10,e12)) != op2(e20,e22) )
    | ( op2(e20,h3(e11)) != h3(op1(e10,e11)) )
    | ( h3(op1(e10,e10)) != h1(e13) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_710,c_4656]) ).

tff(c_4755,plain,
    ( ( h3(e13) != e23 )
    | ( h3(op1(e13,e13)) != e21 )
    | ( h3(op1(e13,e12)) != e20 )
    | ( op2(h3(e13),e21) != h3(op1(e13,e11)) )
    | ( op2(h3(e13),e20) != h3(op1(e13,e10)) )
    | ( op2(e22,h3(e13)) != h3(op1(e12,e13)) )
    | ( h3(op1(e12,e12)) != h3(e13) )
    | ( h3(op1(e12,e11)) != op2(e22,e21) )
    | ( h3(op1(e12,e10)) != op2(e22,e20) )
    | ( op2(e21,h3(e13)) != h3(op1(e11,e13)) )
    | ( h3(op1(e11,e12)) != op2(e21,e22) )
    | ( h3(op1(e11,e11)) != op2(e21,e21) )
    | ( h3(op1(e11,e10)) != op2(e21,e20) )
    | ( op2(e20,h3(e13)) != h3(op1(e10,e13)) )
    | ( h3(op1(e10,e12)) != op2(e20,e22) )
    | ( h3(op1(e10,e11)) != op2(e20,e21) )
    | ( h3(op1(e10,e10)) != h1(e13) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4738,c_4738,c_4738,c_4738,c_4738,c_4738,c_4738,c_4738,c_4738,c_4738,c_4724]) ).

tff(c_4771,plain,
    ( ( h3(e13) != e23 )
    | ( h3(op1(e13,e13)) != e21 )
    | ( h3(op1(e13,e12)) != e20 )
    | ( op2(h3(e13),e21) != h3(op1(e13,e11)) )
    | ( op2(h3(e13),e20) != h3(op1(e13,e10)) )
    | ( op2(e22,h3(e13)) != h3(op1(e12,e13)) )
    | ( h3(op1(e12,e12)) != h3(e13) )
    | ( h3(op1(e12,e11)) != op2(e22,e21) )
    | ( h3(op1(e12,e10)) != op2(e22,e20) )
    | ( op2(e21,h3(e13)) != h3(op1(e11,e13)) )
    | ( h3(op1(e11,e12)) != op2(e21,e22) )
    | ( h3(op1(e11,e11)) != h2(e13) )
    | ( h3(op1(e11,e10)) != op2(e21,e20) )
    | ( op2(e20,h3(e13)) != h3(op1(e10,e13)) )
    | ( h3(op1(e10,e12)) != op2(e20,e22) )
    | ( h3(op1(e10,e11)) != op2(e20,e21) )
    | ( h3(op1(e10,e10)) != h1(e13) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_718,c_4755]) ).

tff(c_4783,plain,
    ( ( h3(op1(e13,e13)) != e21 )
    | ( h3(op1(e13,e12)) != e20 )
    | ( h3(op1(e13,e11)) != op2(e23,e21) )
    | ( h3(op1(e13,e10)) != op2(e23,e20) )
    | ( h3(op1(e12,e13)) != op2(e22,e23) )
    | ( h3(op1(e12,e12)) != e23 )
    | ( h3(op1(e12,e11)) != op2(e22,e21) )
    | ( h3(op1(e12,e10)) != op2(e22,e20) )
    | ( h3(op1(e11,e13)) != op2(e21,e23) )
    | ( h3(op1(e11,e12)) != op2(e21,e22) )
    | ( h3(op1(e11,e11)) != h2(e13) )
    | ( h3(op1(e11,e10)) != op2(e21,e20) )
    | ( h3(op1(e10,e13)) != op2(e20,e23) )
    | ( h3(op1(e10,e12)) != op2(e20,e22) )
    | ( h3(op1(e10,e11)) != op2(e20,e21) )
    | ( h3(op1(e10,e10)) != h1(e13) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4776,c_4776,c_4776,c_4776,c_4776,c_4776,c_4776,c_4771]) ).

tff(c_4867,plain,
    ( ( h3(op1(e13,e13)) != e21 )
    | ( h3(op1(e13,e12)) != e20 )
    | ( h3(op1(e13,e11)) != op2(e23,e21) )
    | ( h3(op1(e13,e10)) != op2(e23,e20) )
    | ( h3(op1(e12,e13)) != op2(e22,e23) )
    | ( h3(op1(e12,e12)) != e23 )
    | ( h3(op1(e12,e11)) != op2(e22,e21) )
    | ( h3(op1(e12,e10)) != op2(e22,e20) )
    | ( h3(op1(e11,e13)) != h4(e10) )
    | ( h3(op1(e11,e12)) != op2(e21,e22) )
    | ( h3(op1(e11,e11)) != h2(e13) )
    | ( h3(op1(e11,e10)) != op2(e21,e20) )
    | ( h3(op1(e10,e13)) != op2(e20,e23) )
    | ( h3(op1(e10,e12)) != op2(e20,e22) )
    | ( h3(op1(e10,e11)) != op2(e20,e21) )
    | ( h3(op1(e10,e10)) != h1(e13) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4785,c_4783]) ).

tff(c_5047,plain,
    ( ( h3(op1(e13,e13)) != e21 )
    | ( h3(op1(e13,e12)) != e20 )
    | ( h3(op1(e13,e11)) != op2(e23,e21) )
    | ( h3(op1(e13,e10)) != op2(e23,e20) )
    | ( h3(op1(e12,e13)) != op2(e22,e23) )
    | ( h3(e13) != e23 )
    | ( h3(op1(e12,e11)) != op2(e22,e21) )
    | ( h3(op1(e12,e10)) != op2(e22,e20) )
    | ( h3(op1(e11,e13)) != h4(e10) )
    | ( h3(op1(e11,e12)) != op2(e21,e22) )
    | ( h3(op1(e11,e11)) != h2(e13) )
    | ( h3(op1(e11,e10)) != op2(e21,e20) )
    | ( h3(op1(e10,e13)) != op2(e20,e23) )
    | ( h3(op1(e10,e12)) != op2(e20,e22) )
    | ( h3(op1(e10,e11)) != op2(e20,e21) )
    | ( h3(op1(e10,e10)) != h1(e13) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_698,c_4867]) ).

tff(c_5343,plain,
    ( ( h3(op1(e13,e13)) != e21 )
    | ( h3(op1(e13,e11)) != op2(e23,e21) )
    | ( h3(op1(e13,e10)) != op2(e23,e20) )
    | ( h3(op1(e12,e13)) != op2(e22,e23) )
    | ( h3(op1(e12,e11)) != op2(e22,e21) )
    | ( h3(op1(e12,e10)) != op2(e22,e20) )
    | ( h3(op1(e11,e13)) != h4(e10) )
    | ( h3(op1(e11,e12)) != op2(e21,e22) )
    | ( h3(op1(e11,e11)) != h2(e13) )
    | ( h3(op1(e11,e10)) != op2(e21,e20) )
    | ( h3(op1(e10,e13)) != op2(e20,e23) )
    | ( h3(op1(e10,e12)) != op2(e20,e22) )
    | ( h3(op1(e10,e11)) != op2(e20,e21) )
    | ( h3(op1(e10,e10)) != h1(e13) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4776,c_4592,c_4975,c_5047]) ).

tff(c_5357,plain,
    ( ( h3(e11) != e21 )
    | ( h3(op1(e13,e11)) != op2(e23,e21) )
    | ( h3(op1(e13,e10)) != op2(e23,e20) )
    | ( h3(op1(e12,e13)) != op2(e22,e23) )
    | ( h3(op1(e12,e11)) != op2(e22,e21) )
    | ( h3(op1(e12,e10)) != op2(e22,e20) )
    | ( h3(op1(e11,e13)) != h4(e10) )
    | ( h3(op1(e11,e12)) != op2(e21,e22) )
    | ( h3(op1(e11,e11)) != h2(e13) )
    | ( h3(op1(e11,e10)) != op2(e21,e20) )
    | ( h3(op1(e10,e13)) != op2(e20,e23) )
    | ( h3(op1(e10,e12)) != op2(e20,e22) )
    | ( h3(op1(e10,e11)) != op2(e20,e21) )
    | ( h3(op1(e10,e10)) != h1(e13) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5048,c_5343]) ).

tff(c_5635,plain,
    ( ( h3(op1(e13,e11)) != op2(e23,e21) )
    | ( h3(op1(e13,e10)) != op2(e23,e20) )
    | ( h3(op1(e12,e13)) != op2(e22,e23) )
    | ( h3(op1(e12,e11)) != op2(e22,e21) )
    | ( h3(op1(e12,e10)) != op2(e22,e20) )
    | ( h3(op1(e11,e13)) != h4(e10) )
    | ( h3(op1(e11,e12)) != op2(e21,e22) )
    | ( h3(op1(e11,e11)) != h2(e13) )
    | ( h3(op1(e11,e10)) != op2(e21,e20) )
    | ( h3(op1(e10,e13)) != op2(e20,e23) )
    | ( h3(op1(e10,e12)) != op2(e20,e22) )
    | ( h3(op1(e10,e11)) != op2(e20,e21) )
    | ( h3(op1(e10,e10)) != h1(e13) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4738,c_5357]) ).

tff(c_25432,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_732,c_19418,c_23550,c_4776,c_25305,c_25271,c_4738,c_23440,c_23573,c_4592,c_25348,c_25290,c_4738,c_25339,c_25233,c_4592,c_22695,c_24629,c_732,c_24617,c_24925,c_4776,c_25171,c_23183,c_4592,c_25315,c_25250,c_4738,c_23750,c_24892,c_732,c_24602,c_25001,c_4776,c_23425,c_24907,c_732,c_23563,c_23586,c_5635]) ).

tff(c_25433,plain,
    op1(e11,e12) = e11,
    inference(splitRight,[status(thm)],[c_5975]) ).

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_5978,plain,
    ( ( e12 = e10 )
    | ( e13 = e12 )
    | ( op1(e11,e12) = e12 )
    | ( op1(e10,e12) = e12 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_698,c_4975,c_54]) ).

tff(c_5979,plain,
    ( ( op1(e11,e12) = e12 )
    | ( op1(e10,e12) = e12 ) ),
    inference(negUnitSimplification,[status(thm)],[c_386,c_394,c_5978]) ).

tff(c_25476,plain,
    ( ( e12 = e11 )
    | ( op1(e10,e12) = e12 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_25433,c_5979]) ).

tff(c_25477,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_23553,c_390,c_25476]) ).

tff(c_25478,plain,
    op2(e23,e21) = e23,
    inference(splitRight,[status(thm)],[c_5951]) ).

tff(c_136,plain,
    ( ( op2(e23,e23) = e22 )
    | ( op2(e23,e22) = e22 )
    | ( op2(e23,e21) = e22 )
    | ( op2(e23,e20) = e22 ) ),
    inference(cnfTransformation,[status(thm)],[f_789]) ).

tff(c_5930,plain,
    ( ( e22 = e21 )
    | ( e22 = e20 )
    | ( op2(e23,e21) = e22 )
    | ( op2(e23,e20) = e22 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4777,c_4778,c_136]) ).

tff(c_5931,plain,
    ( ( op2(e23,e21) = e22 )
    | ( op2(e23,e20) = e22 ) ),
    inference(negUnitSimplification,[status(thm)],[c_406,c_402,c_5930]) ).

tff(c_25555,plain,
    ( ( e23 = e22 )
    | ( op2(e23,e20) = e22 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_25478,c_5931]) ).

tff(c_25556,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_19425,c_398,c_25555]) ).

tff(c_25557,plain,
    op2(e21,e22) = e21,
    inference(splitRight,[status(thm)],[c_5913]) ).

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_5916,plain,
    ( ( e22 = e20 )
    | ( e23 = e22 )
    | ( op2(e21,e22) = e22 )
    | ( op2(e20,e22) = e22 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_704,c_4777,c_150]) ).

tff(c_5917,plain,
    ( ( op2(e21,e22) = e22 )
    | ( op2(e20,e22) = e22 ) ),
    inference(negUnitSimplification,[status(thm)],[c_398,c_406,c_5916]) ).

tff(c_25705,plain,
    ( ( e22 = e21 )
    | ( op2(e20,e22) = e22 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_25557,c_5917]) ).

tff(c_25706,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_19422,c_402,c_25705]) ).

tff(c_25708,plain,
    op2(h1(e10),h1(e10)) = h1(op1(e10,e10)),
    inference(splitRight,[status(thm)],[c_22692]) ).

tff(c_27416,plain,
    op2(h1(e10),h1(e10)) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_716,c_27041,c_25708]) ).

tff(c_2600,plain,
    ( ( h1(e12) != e20 )
    | ( h1(e13) != e21 )
    | ( h1(e11) != e22 )
    | ( h1(e11) != e23 )
    | ( op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) )
    | ( op2(h1(e13),h1(e12)) != h1(op1(e13,e12)) )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(h1(e12),h1(e13)) != h1(op1(e12,e13)) )
    | ( op2(h1(e12),h1(e12)) != h1(op1(e12,e12)) )
    | ( op2(h1(e12),h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(h1(e12),h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),h1(e12)) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),h1(e12)) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(cnfTransformation,[status(thm)],[f_1608]) ).

tff(c_4302,plain,
    ( ( h1(e13) != e21 )
    | ( h1(e11) != e22 )
    | ( h1(e11) != e23 )
    | ( op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) )
    | ( op2(h1(e13),e20) != h1(op1(e13,e12)) )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(e20,h1(e13)) != h1(op1(e12,e13)) )
    | ( h1(op1(e12,e12)) != op2(e20,e20) )
    | ( op2(e20,h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(e20,h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),e20) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),e20) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_716,c_716,c_716,c_716,c_716,c_716,c_716,c_716,c_716,c_2600]) ).

tff(c_4496,plain,
    ( ( h1(e13) != e21 )
    | ( h1(e11) != e22 )
    | ( h1(e11) != e23 )
    | ( op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) )
    | ( op2(h1(e13),e20) != h1(op1(e13,e12)) )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(e20,h1(e13)) != h1(op1(e12,e13)) )
    | ( h1(op1(e12,e12)) != h1(e13) )
    | ( op2(e20,h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(e20,h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),e20) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),e20) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_710,c_4302]) ).

tff(c_4560,plain,
    ( ( h1(e13) != e21 )
    | ( h1(e11) != e22 )
    | ( h1(e11) != e23 )
    | ( h1(op1(e13,e13)) != h1(e11) )
    | ( h1(op1(e13,e12)) != h1(e10) )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(e20,h1(e13)) != h1(op1(e12,e13)) )
    | ( h1(op1(e12,e12)) != h1(e13) )
    | ( op2(e20,h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(e20,h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),e20) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),e20) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4462,c_4463,c_4496]) ).

tff(c_5178,plain,
    ( ( h1(e13) != e21 )
    | ( h1(e11) != e22 )
    | ( h1(e11) != e23 )
    | ( h1(op1(e13,e13)) != h1(e11) )
    | ( h1(op1(e13,e12)) != h1(e10) )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(e20,h1(e13)) != h1(op1(e12,e13)) )
    | ( op2(e20,h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(e20,h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),e20) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),e20) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_698,c_4560]) ).

tff(c_5545,plain,
    ( ( h1(e13) != e21 )
    | ( h1(e11) != e22 )
    | ( h1(e11) != e23 )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(e20,h1(e13)) != h1(op1(e12,e13)) )
    | ( op2(e20,h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(e20,h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),e20) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),e20) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4975,c_5048,c_5178]) ).

tff(c_7614,plain,
    op2(h1(e10),h1(e10)) != h1(op1(e10,e10)),
    inference(splitLeft,[status(thm)],[c_5545]) ).

tff(c_27422,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_27416,c_716,c_27041,c_7614]) ).

tff(c_27424,plain,
    op2(h1(e10),h1(e10)) = h1(op1(e10,e10)),
    inference(splitRight,[status(thm)],[c_5545]) ).

tff(c_34663,plain,
    op2(h1(e10),h1(e10)) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_716,c_34593,c_27424]) ).

tff(c_2760,plain,
    ( ( h1(e12) != e20 )
    | ( h1(e13) != e21 )
    | ( h1(e10) != e22 )
    | ( h1(e10) != e23 )
    | ( op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) )
    | ( op2(h1(e13),h1(e12)) != h1(op1(e13,e12)) )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(h1(e12),h1(e13)) != h1(op1(e12,e13)) )
    | ( op2(h1(e12),h1(e12)) != h1(op1(e12,e12)) )
    | ( op2(h1(e12),h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(h1(e12),h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),h1(e12)) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),h1(e12)) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(cnfTransformation,[status(thm)],[f_1608]) ).

tff(c_4232,plain,
    ( ( h1(e13) != e21 )
    | ( h1(e10) != e22 )
    | ( h1(e10) != e23 )
    | ( op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) )
    | ( op2(h1(e13),e20) != h1(op1(e13,e12)) )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(e20,h1(e13)) != h1(op1(e12,e13)) )
    | ( h1(op1(e12,e12)) != op2(e20,e20) )
    | ( op2(e20,h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(e20,h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),e20) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),e20) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_716,c_716,c_716,c_716,c_716,c_716,c_716,c_716,c_716,c_2760]) ).

tff(c_4485,plain,
    ( ( h1(e13) != e21 )
    | ( h1(e10) != e22 )
    | ( h1(e10) != e23 )
    | ( op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) )
    | ( op2(h1(e13),e20) != h1(op1(e13,e12)) )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(e20,h1(e13)) != h1(op1(e12,e13)) )
    | ( h1(op1(e12,e12)) != h1(e13) )
    | ( op2(e20,h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(e20,h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),e20) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),e20) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_710,c_4232]) ).

tff(c_4549,plain,
    ( ( h1(e13) != e21 )
    | ( h1(e10) != e22 )
    | ( h1(e10) != e23 )
    | ( h1(op1(e13,e13)) != h1(e11) )
    | ( h1(op1(e13,e12)) != h1(e10) )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(e20,h1(e13)) != h1(op1(e12,e13)) )
    | ( h1(op1(e12,e12)) != h1(e13) )
    | ( op2(e20,h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(e20,h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),e20) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),e20) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4462,c_4463,c_4485]) ).

tff(c_5158,plain,
    ( ( h1(e13) != e21 )
    | ( h1(e10) != e22 )
    | ( h1(e10) != e23 )
    | ( h1(op1(e13,e13)) != h1(e11) )
    | ( h1(op1(e13,e12)) != h1(e10) )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(e20,h1(e13)) != h1(op1(e12,e13)) )
    | ( op2(e20,h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(e20,h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),e20) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),e20) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_698,c_4549]) ).

tff(c_5525,plain,
    ( ( h1(e13) != e21 )
    | ( h1(e10) != e22 )
    | ( h1(e10) != e23 )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(e20,h1(e13)) != h1(op1(e12,e13)) )
    | ( op2(e20,h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(e20,h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),e20) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),e20) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4975,c_5048,c_5158]) ).

tff(c_6015,plain,
    op2(h1(e10),h1(e10)) != h1(op1(e10,e10)),
    inference(splitLeft,[status(thm)],[c_5525]) ).

tff(c_34673,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_34663,c_716,c_34593,c_6015]) ).

tff(c_34674,plain,
    op1(e11,e11) = e10,
    inference(splitRight,[status(thm)],[c_5821]) ).

tff(c_34675,plain,
    op1(e10,e10) = e10,
    inference(splitRight,[status(thm)],[c_5821]) ).

tff(c_34790,plain,
    ( ( e12 = e10 )
    | ( e12 = e10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_34674,c_34675,c_5829]) ).

tff(c_34791,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_394,c_394,c_34790]) ).

tff(c_34793,plain,
    op2(h1(e10),h1(e10)) = h1(op1(e10,e10)),
    inference(splitRight,[status(thm)],[c_5525]) ).

tff(c_172825,plain,
    op2(h1(e10),h1(e10)) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_716,c_172455,c_34793]) ).

tff(c_2368,plain,
    ( ( h1(e12) != e20 )
    | ( h1(e10) != e21 )
    | ( h1(e11) != e22 )
    | ( h1(e13) != e23 )
    | ( op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) )
    | ( op2(h1(e13),h1(e12)) != h1(op1(e13,e12)) )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(h1(e12),h1(e13)) != h1(op1(e12,e13)) )
    | ( op2(h1(e12),h1(e12)) != h1(op1(e12,e12)) )
    | ( op2(h1(e12),h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(h1(e12),h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),h1(e12)) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),h1(e12)) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(cnfTransformation,[status(thm)],[f_1608]) ).

tff(c_4287,plain,
    ( ( h1(e10) != e21 )
    | ( h1(e11) != e22 )
    | ( h1(e13) != e23 )
    | ( op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) )
    | ( op2(h1(e13),e20) != h1(op1(e13,e12)) )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(e20,h1(e13)) != h1(op1(e12,e13)) )
    | ( h1(op1(e12,e12)) != op2(e20,e20) )
    | ( op2(e20,h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(e20,h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),e20) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),e20) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_716,c_716,c_716,c_716,c_716,c_716,c_716,c_716,c_716,c_2368]) ).

tff(c_4494,plain,
    ( ( h1(e10) != e21 )
    | ( h1(e11) != e22 )
    | ( h1(e13) != e23 )
    | ( op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) )
    | ( op2(h1(e13),e20) != h1(op1(e13,e12)) )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(e20,h1(e13)) != h1(op1(e12,e13)) )
    | ( h1(op1(e12,e12)) != h1(e13) )
    | ( op2(e20,h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(e20,h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),e20) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),e20) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_710,c_4287]) ).

tff(c_4558,plain,
    ( ( h1(e10) != e21 )
    | ( h1(e11) != e22 )
    | ( h1(e13) != e23 )
    | ( h1(op1(e13,e13)) != h1(e11) )
    | ( h1(op1(e13,e12)) != h1(e10) )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(e20,h1(e13)) != h1(op1(e12,e13)) )
    | ( h1(op1(e12,e12)) != h1(e13) )
    | ( op2(e20,h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(e20,h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),e20) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),e20) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4462,c_4463,c_4494]) ).

tff(c_5176,plain,
    ( ( h1(e10) != e21 )
    | ( h1(e11) != e22 )
    | ( h1(e13) != e23 )
    | ( h1(op1(e13,e13)) != h1(e11) )
    | ( h1(op1(e13,e12)) != h1(e10) )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(e20,h1(e13)) != h1(op1(e12,e13)) )
    | ( op2(e20,h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(e20,h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),e20) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),e20) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_698,c_4558]) ).

tff(c_5543,plain,
    ( ( h1(e10) != e21 )
    | ( h1(e11) != e22 )
    | ( h1(e13) != e23 )
    | ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
    | ( op2(e20,h1(e13)) != h1(op1(e12,e13)) )
    | ( op2(e20,h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(e20,h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),e20) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),e20) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4975,c_5048,c_5176]) ).

tff(c_169251,plain,
    op2(h1(e10),h1(e10)) != h1(op1(e10,e10)),
    inference(splitLeft,[status(thm)],[c_5543]) ).

tff(c_172850,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_172825,c_716,c_172455,c_169251]) ).

tff(c_172852,plain,
    op2(h1(e10),h1(e10)) = h1(op1(e10,e10)),
    inference(splitRight,[status(thm)],[c_5543]) ).

tff(c_455085,plain,
    op2(h1(e10),h1(e10)) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_716,c_454963,c_172852]) ).

tff(c_454216,plain,
    ( ( h1(e10) != e21 )
    | ( h1(e10) != e22 )
    | ( h1(e11) != e23 )
    | ( op2(e22,h1(e11)) != h1(op1(e13,e11)) )
    | ( op2(e22,h1(e10)) != h1(op1(e13,e10)) )
    | ( h1(op1(e12,e13)) != op2(e20,e22) )
    | ( op2(e20,h1(e11)) != h1(op1(e12,e11)) )
    | ( op2(e20,h1(e10)) != h1(op1(e12,e10)) )
    | ( op2(h1(e11),e22) != h1(op1(e11,e13)) )
    | ( op2(h1(e11),e20) != h1(op1(e11,e12)) )
    | ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
    | ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
    | ( op2(h1(e10),e22) != h1(op1(e10,e13)) )
    | ( op2(h1(e10),e20) != h1(op1(e10,e12)) )
    | ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
    | ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_454175,c_454175,c_454175,c_454175,c_454175,c_5419]) ).

tff(c_454217,plain,
    op2(h1(e10),h1(e10)) != h1(op1(e10,e10)),
    inference(splitLeft,[status(thm)],[c_454216]) ).

tff(c_455136,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_455085,c_716,c_454963,c_454217]) ).

tff(c_455137,plain,
    op1(e13,e11) = e13,
    inference(splitRight,[status(thm)],[c_6010]) ).

tff(c_455142,plain,
    op1(e13,e10) != e13,
    inference(demodulation,[status(thm),theory(equality)],[c_455137,c_204]) ).

tff(c_455220,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_455191,c_455142,c_6009]) ).

tff(c_455221,plain,
    op1(e11,e12) = e11,
    inference(splitRight,[status(thm)],[c_5975]) ).

tff(c_455587,plain,
    ( ( e12 = e11 )
    | ( op1(e10,e12) = e12 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_455221,c_5979]) ).

tff(c_455588,plain,
    op1(e10,e12) = e12,
    inference(negUnitSimplification,[status(thm)],[c_390,c_455587]) ).

tff(c_455590,plain,
    op1(e10,e10) != e12,
    inference(demodulation,[status(thm),theory(equality)],[c_455588,c_238]) ).

tff(c_455635,plain,
    op1(e11,e11) = e10,
    inference(splitLeft,[status(thm)],[c_5822]) ).

tff(c_455647,plain,
    ( ( op1(e10,e10) = e12 )
    | ( e12 = e10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_455635,c_5829]) ).

tff(c_455648,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_394,c_455590,c_455647]) ).

tff(c_455650,plain,
    op1(e11,e11) != e10,
    inference(splitRight,[status(thm)],[c_5822]) ).

tff(c_455649,plain,
    op1(e10,e10) = e10,
    inference(splitRight,[status(thm)],[c_5822]) ).

tff(c_455663,plain,
    op1(e11,e11) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_455649,c_5821]) ).

tff(c_455664,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_455650,c_455663]) ).

tff(c_455666,plain,
    op2(h1(e10),h1(e10)) = h1(op1(e10,e10)),
    inference(splitRight,[status(thm)],[c_454216]) ).

tff(c_456686,plain,
    op2(h1(e10),h1(e10)) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_716,c_456404,c_455666]) ).

tff(c_456759,plain,
    op2(e20,e20) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_456758,c_456758,c_456686]) ).

tff(c_454183,plain,
    op2(e20,e20) = e22,
    inference(demodulation,[status(thm),theory(equality)],[c_454175,c_710]) ).

tff(c_456773,plain,
    e22 = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_456759,c_454183]) ).

tff(c_456775,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_406,c_456773]) ).

tff(c_456776,plain,
    op1(e13,e11) = e13,
    inference(splitRight,[status(thm)],[c_6010]) ).

tff(c_40,plain,
    ( ( op1(e13,e13) = e12 )
    | ( op1(e13,e12) = e12 )
    | ( op1(e13,e11) = e12 )
    | ( op1(e13,e10) = e12 ) ),
    inference(cnfTransformation,[status(thm)],[f_407]) ).

tff(c_5992,plain,
    ( ( e12 = e11 )
    | ( e12 = e10 )
    | ( op1(e13,e11) = e12 )
    | ( op1(e13,e10) = e12 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4975,c_5048,c_40]) ).

tff(c_5993,plain,
    ( ( op1(e13,e11) = e12 )
    | ( op1(e13,e10) = e12 ) ),
    inference(negUnitSimplification,[status(thm)],[c_394,c_390,c_5992]) ).

tff(c_456790,plain,
    ( ( e13 = e12 )
    | ( op1(e13,e10) = e12 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_456776,c_5993]) ).

tff(c_456791,plain,
    op1(e13,e10) = e12,
    inference(negUnitSimplification,[status(thm)],[c_386,c_456790]) ).

tff(c_456793,plain,
    op1(e10,e10) != e12,
    inference(demodulation,[status(thm),theory(equality)],[c_456791,c_284]) ).

tff(c_456815,plain,
    op1(e10,e10) != e10,
    inference(splitLeft,[status(thm)],[c_5821]) ).

tff(c_456841,plain,
    op1(e11,e11) = e10,
    inference(negUnitSimplification,[status(thm)],[c_456815,c_5822]) ).

tff(c_456934,plain,
    ( ( op1(e10,e10) = e12 )
    | ( e12 = e10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_456841,c_5829]) ).

tff(c_456935,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_394,c_456793,c_456934]) ).

tff(c_456936,plain,
    op1(e11,e11) = e10,
    inference(splitRight,[status(thm)],[c_5821]) ).

tff(c_456937,plain,
    op1(e10,e10) = e10,
    inference(splitRight,[status(thm)],[c_5821]) ).

tff(c_456980,plain,
    ( ( e12 = e10 )
    | ( e12 = e10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_456936,c_456937,c_5829]) ).

tff(c_456981,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_394,c_394,c_456980]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ALG114+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug  3 20:46:38 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 144.80/122.34  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 145.06/122.42  
% 145.06/122.42  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 145.28/122.50  
% 145.28/122.50  Inference rules
% 145.28/122.50  ----------------------
% 145.28/122.50  #Ref     : 0
% 145.28/122.50  #Sup     : 73862
% 145.28/122.50  #Fact    : 0
% 145.28/122.50  #Define  : 0
% 145.28/122.50  #Split   : 17199
% 145.28/122.50  #Chain   : 0
% 145.28/122.50  #Close   : 0
% 145.28/122.50  
% 145.28/122.50  Ordering : KBO
% 145.28/122.50  
% 145.28/122.50  Simplification rules
% 145.28/122.50  ----------------------
% 145.28/122.50  #Subsume      : 129907
% 145.28/122.50  #Demod        : 756550
% 145.28/122.50  #Tautology    : 97550
% 145.28/122.50  #SimpNegUnit  : 33967
% 145.28/122.50  #BackRed      : 166706
% 145.28/122.50  
% 145.28/122.50  #Partial instantiations: 0
% 145.28/122.50  #Strategies tried      : 1
% 145.28/122.50  
% 145.28/122.50  Timing (in seconds)
% 145.28/122.50  ----------------------
% 145.28/122.50  Preprocessing        : 1.31
% 145.28/122.50  Parsing              : 0.48
% 145.28/122.50  CNF conversion       : 0.08
% 145.28/122.50  Main loop            : 119.90
% 145.28/122.50  Inferencing          : 16.17
% 145.28/122.50  Reduction            : 60.75
% 145.28/122.50  Demodulation         : 41.85
% 145.28/122.50  BG Simplification    : 0.57
% 145.28/122.50  Subsumption          : 34.57
% 145.28/122.50  Abstraction          : 1.60
% 145.28/122.50  MUC search           : 0.00
% 145.28/122.51  Cooper               : 0.00
% 145.28/122.51  Total                : 121.39
% 145.28/122.51  Index Insertion      : 0.00
% 145.28/122.51  Index Deletion       : 0.00
% 145.28/122.51  Index Matching       : 0.00
% 145.28/122.51  BG Taut test         : 0.00
%------------------------------------------------------------------------------