TSTP Solution File: ALG015+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : ALG015+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.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 : Mon May 20 18:06:28 EDT 2024

% Result   : Theorem 0.93s 0.81s
% Output   : CNFRefutation 0.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  270 ( 185 unt;   0 def)
%            Number of atoms       : 3739 (3445 equ)
%            Maximal formula atoms : 1280 (  13 avg)
%            Number of connectives : 5333 (1864   ~;2164   |;1288   &)
%                                         (  14 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   84 (   6 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :   16 (  14 usr;  15 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax22,axiom,
    ( ( op1(e10,e10) = e10
      & op1(e11,e11) = e10
      & op1(e12,e12) = e10
      & op1(e13,e13) = e10 )
    | ( op1(e10,e10) = e11
      & op1(e11,e11) = e11
      & op1(e12,e12) = e11
      & op1(e13,e13) = e11 )
    | ( op1(e10,e10) = e12
      & op1(e11,e11) = e12
      & op1(e12,e12) = e12
      & op1(e13,e13) = e12 )
    | ( op1(e10,e10) = e13
      & op1(e11,e11) = e13
      & op1(e12,e12) = e13
      & op1(e13,e13) = e13 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).

fof(ax19,axiom,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).

fof(ax17,axiom,
    ( op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(ax20,axiom,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

fof(ax24,axiom,
    ( e10 = op1(e13,e13)
    & e11 = op1(e12,e13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).

fof(ax35,axiom,
    ( h10(e12) = e23
    & h10(e13) = e20
    & h10(e10) = op2(e20,e20)
    & h10(e11) = op2(e23,e20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).

fof(ax28,axiom,
    ( h3(e12) = e20
    & h3(e13) = e23
    & h3(e10) = op2(e23,e23)
    & h3(e11) = op2(e20,e23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).

fof(ax23,axiom,
    ( ( op2(e20,e20) = e20
      & op2(e21,e21) = e20
      & op2(e22,e22) = e20
      & op2(e23,e23) = e20 )
    | ( op2(e20,e20) = e21
      & op2(e21,e21) = e21
      & op2(e22,e22) = e21
      & op2(e23,e23) = e21 )
    | ( op2(e20,e20) = e22
      & op2(e21,e21) = e22
      & op2(e22,e22) = e22
      & op2(e23,e23) = e22 )
    | ( op2(e20,e20) = e23
      & op2(e21,e21) = e23
      & op2(e22,e22) = e23
      & op2(e23,e23) = e23 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).

fof(ax18,axiom,
    ( op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).

fof(ax25,axiom,
    ( e20 = op2(e23,e23)
    & e21 = op2(e22,e23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).

fof(ax26,axiom,
    ( h1(e12) = e20
    & h1(e13) = e21
    & h1(e10) = op2(e21,e21)
    & h1(e11) = op2(e20,e21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

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

fof(ax27,axiom,
    ( h2(e12) = e20
    & h2(e13) = e22
    & h2(e10) = op2(e22,e22)
    & h2(e11) = op2(e20,e22) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).

fof(ax32,axiom,
    ( h7(e12) = e22
    & h7(e13) = e20
    & h7(e10) = op2(e20,e20)
    & h7(e11) = op2(e22,e20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).

fof(ax29,axiom,
    ( h4(e12) = e21
    & h4(e13) = e20
    & h4(e10) = op2(e20,e20)
    & h4(e11) = op2(e21,e20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).

fof(ax31,axiom,
    ( h6(e12) = e21
    & h6(e13) = e23
    & h6(e10) = op2(e23,e23)
    & h6(e11) = op2(e21,e23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).

fof(ax1,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/sandbox/benchmark/theBenchmark.p',ax1) ).

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

fof(ax37,axiom,
    ( h12(e12) = e23
    & h12(e13) = e22
    & h12(e10) = op2(e22,e22)
    & h12(e11) = op2(e23,e22) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).

fof(co1,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 ) )
    | ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
      & h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
      & h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
      & h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
      & h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
      & h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
      & h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
      & h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
      & h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
      & h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
      & h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
      & h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
      & h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
      & h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
      & h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
      & h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
      & ( h5(e10) = e20
        | h5(e11) = e20
        | h5(e12) = e20
        | h5(e13) = e20 )
      & ( h5(e10) = e21
        | h5(e11) = e21
        | h5(e12) = e21
        | h5(e13) = e21 )
      & ( h5(e10) = e22
        | h5(e11) = e22
        | h5(e12) = e22
        | h5(e13) = e22 )
      & ( h5(e10) = e23
        | h5(e11) = e23
        | h5(e12) = e23
        | h5(e13) = e23 ) )
    | ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
      & h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
      & h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
      & h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
      & h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
      & h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
      & h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
      & h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
      & h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
      & h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
      & h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
      & h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
      & h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
      & h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
      & h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
      & h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
      & ( h6(e10) = e20
        | h6(e11) = e20
        | h6(e12) = e20
        | h6(e13) = e20 )
      & ( h6(e10) = e21
        | h6(e11) = e21
        | h6(e12) = e21
        | h6(e13) = e21 )
      & ( h6(e10) = e22
        | h6(e11) = e22
        | h6(e12) = e22
        | h6(e13) = e22 )
      & ( h6(e10) = e23
        | h6(e11) = e23
        | h6(e12) = e23
        | h6(e13) = e23 ) )
    | ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
      & h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
      & h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
      & h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
      & h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
      & h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
      & h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
      & h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
      & h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
      & h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
      & h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
      & h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
      & h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
      & h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
      & h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
      & h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
      & ( h7(e10) = e20
        | h7(e11) = e20
        | h7(e12) = e20
        | h7(e13) = e20 )
      & ( h7(e10) = e21
        | h7(e11) = e21
        | h7(e12) = e21
        | h7(e13) = e21 )
      & ( h7(e10) = e22
        | h7(e11) = e22
        | h7(e12) = e22
        | h7(e13) = e22 )
      & ( h7(e10) = e23
        | h7(e11) = e23
        | h7(e12) = e23
        | h7(e13) = e23 ) )
    | ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
      & h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
      & h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
      & h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
      & h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
      & h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
      & h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
      & h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
      & h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
      & h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
      & h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
      & h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
      & h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
      & h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
      & h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
      & h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
      & ( h8(e10) = e20
        | h8(e11) = e20
        | h8(e12) = e20
        | h8(e13) = e20 )
      & ( h8(e10) = e21
        | h8(e11) = e21
        | h8(e12) = e21
        | h8(e13) = e21 )
      & ( h8(e10) = e22
        | h8(e11) = e22
        | h8(e12) = e22
        | h8(e13) = e22 )
      & ( h8(e10) = e23
        | h8(e11) = e23
        | h8(e12) = e23
        | h8(e13) = e23 ) )
    | ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
      & h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
      & h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
      & h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
      & h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
      & h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
      & h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
      & h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
      & h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
      & h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
      & h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
      & h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
      & h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
      & h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
      & h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
      & h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
      & ( h9(e10) = e20
        | h9(e11) = e20
        | h9(e12) = e20
        | h9(e13) = e20 )
      & ( h9(e10) = e21
        | h9(e11) = e21
        | h9(e12) = e21
        | h9(e13) = e21 )
      & ( h9(e10) = e22
        | h9(e11) = e22
        | h9(e12) = e22
        | h9(e13) = e22 )
      & ( h9(e10) = e23
        | h9(e11) = e23
        | h9(e12) = e23
        | h9(e13) = e23 ) )
    | ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
      & h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
      & h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
      & h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
      & h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
      & h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
      & h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
      & h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
      & h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
      & h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
      & h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
      & h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
      & h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
      & h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
      & h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
      & h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
      & ( h10(e10) = e20
        | h10(e11) = e20
        | h10(e12) = e20
        | h10(e13) = e20 )
      & ( h10(e10) = e21
        | h10(e11) = e21
        | h10(e12) = e21
        | h10(e13) = e21 )
      & ( h10(e10) = e22
        | h10(e11) = e22
        | h10(e12) = e22
        | h10(e13) = e22 )
      & ( h10(e10) = e23
        | h10(e11) = e23
        | h10(e12) = e23
        | h10(e13) = e23 ) )
    | ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
      & h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
      & h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
      & h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
      & h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
      & h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
      & h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
      & h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
      & h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
      & h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
      & h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
      & h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
      & h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
      & h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
      & h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
      & h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
      & ( h11(e10) = e20
        | h11(e11) = e20
        | h11(e12) = e20
        | h11(e13) = e20 )
      & ( h11(e10) = e21
        | h11(e11) = e21
        | h11(e12) = e21
        | h11(e13) = e21 )
      & ( h11(e10) = e22
        | h11(e11) = e22
        | h11(e12) = e22
        | h11(e13) = e22 )
      & ( h11(e10) = e23
        | h11(e11) = e23
        | h11(e12) = e23
        | h11(e13) = e23 ) )
    | ( h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
      & h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
      & h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
      & h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
      & h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
      & h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
      & h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
      & h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
      & h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
      & h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
      & h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
      & h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
      & h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
      & h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
      & h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
      & h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
      & ( h12(e10) = e20
        | h12(e11) = e20
        | h12(e12) = e20
        | h12(e13) = e20 )
      & ( h12(e10) = e21
        | h12(e11) = e21
        | h12(e12) = e21
        | h12(e13) = e21 )
      & ( h12(e10) = e22
        | h12(e11) = e22
        | h12(e12) = e22
        | h12(e13) = e22 )
      & ( h12(e10) = e23
        | h12(e11) = e23
        | h12(e12) = e23
        | h12(e13) = e23 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(ax30,axiom,
    ( h5(e12) = e21
    & h5(e13) = e22
    & h5(e10) = op2(e22,e22)
    & h5(e11) = op2(e21,e22) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).

fof(ax34,axiom,
    ( h9(e12) = e22
    & h9(e13) = e23
    & h9(e10) = op2(e23,e23)
    & h9(e11) = op2(e22,e23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).

fof(ax5,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/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(ax36,axiom,
    ( h11(e12) = e23
    & h11(e13) = e21
    & h11(e10) = op2(e21,e21)
    & h11(e11) = op2(e23,e21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).

fof(ax33,axiom,
    ( h8(e12) = e22
    & h8(e13) = e21
    & h8(e10) = op2(e21,e21)
    & h8(e11) = op2(e22,e21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).

fof(c_0_25,plain,
    ( epred14_0
  <=> ( ( op1(e10,e10) = e10
        & op1(e11,e11) = e10
        & op1(e12,e12) = e10
        & op1(e13,e13) = e10 )
      | ( op1(e10,e10) = e11
        & op1(e11,e11) = e11
        & op1(e12,e12) = e11
        & op1(e13,e13) = e11 )
      | ( op1(e10,e10) = e12
        & op1(e11,e11) = e12
        & op1(e12,e12) = e12
        & op1(e13,e13) = e12 ) ) ),
    introduced(definition) ).

fof(c_0_26,axiom,
    ( epred14_0
    | ( op1(e10,e10) = e13
      & op1(e11,e11) = e13
      & op1(e12,e12) = e13
      & op1(e13,e13) = e13 ) ),
    inference(apply_def,[status(thm)],[ax22,c_0_25]) ).

fof(c_0_27,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(fof_simplification,[status(thm)],[ax19]) ).

fof(c_0_28,plain,
    ( 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) ),
    inference(fof_simplification,[status(thm)],[ax17]) ).

fof(c_0_29,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(fof_simplification,[status(thm)],[ax20]) ).

fof(c_0_30,plain,
    ( epred14_0
   => ( ( op1(e10,e10) = e10
        & op1(e11,e11) = e10
        & op1(e12,e12) = e10
        & op1(e13,e13) = e10 )
      | ( op1(e10,e10) = e11
        & op1(e11,e11) = e11
        & op1(e12,e12) = e11
        & op1(e13,e13) = e11 )
      | ( op1(e10,e10) = e12
        & op1(e11,e11) = e12
        & op1(e12,e12) = e12
        & op1(e13,e13) = e12 ) ) ),
    inference(split_equiv,[status(thm)],[c_0_25]) ).

fof(c_0_31,plain,
    ( ( op1(e10,e10) = e13
      | epred14_0 )
    & ( op1(e11,e11) = e13
      | epred14_0 )
    & ( op1(e12,e12) = e13
      | epred14_0 )
    & ( op1(e13,e13) = e13
      | epred14_0 ) ),
    inference(distribute,[status(thm)],[c_0_26]) ).

fof(c_0_32,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(fof_nnf,[status(thm)],[c_0_27]) ).

fof(c_0_33,plain,
    ( 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) ),
    inference(fof_nnf,[status(thm)],[c_0_28]) ).

fof(c_0_34,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(fof_nnf,[status(thm)],[c_0_29]) ).

fof(c_0_35,plain,
    ( ( op1(e10,e10) = e12
      | op1(e10,e10) = e11
      | op1(e10,e10) = e10
      | ~ epred14_0 )
    & ( op1(e11,e11) = e12
      | op1(e10,e10) = e11
      | op1(e10,e10) = e10
      | ~ epred14_0 )
    & ( op1(e12,e12) = e12
      | op1(e10,e10) = e11
      | op1(e10,e10) = e10
      | ~ epred14_0 )
    & ( op1(e13,e13) = e12
      | op1(e10,e10) = e11
      | op1(e10,e10) = e10
      | ~ epred14_0 )
    & ( op1(e10,e10) = e12
      | op1(e11,e11) = e11
      | op1(e10,e10) = e10
      | ~ epred14_0 )
    & ( op1(e11,e11) = e12
      | op1(e11,e11) = e11
      | op1(e10,e10) = e10
      | ~ epred14_0 )
    & ( op1(e12,e12) = e12
      | op1(e11,e11) = e11
      | op1(e10,e10) = e10
      | ~ epred14_0 )
    & ( op1(e13,e13) = e12
      | op1(e11,e11) = e11
      | op1(e10,e10) = e10
      | ~ epred14_0 )
    & ( op1(e10,e10) = e12
      | op1(e12,e12) = e11
      | op1(e10,e10) = e10
      | ~ epred14_0 )
    & ( op1(e11,e11) = e12
      | op1(e12,e12) = e11
      | op1(e10,e10) = e10
      | ~ epred14_0 )
    & ( op1(e12,e12) = e12
      | op1(e12,e12) = e11
      | op1(e10,e10) = e10
      | ~ epred14_0 )
    & ( op1(e13,e13) = e12
      | op1(e12,e12) = e11
      | op1(e10,e10) = e10
      | ~ epred14_0 )
    & ( op1(e10,e10) = e12
      | op1(e13,e13) = e11
      | op1(e10,e10) = e10
      | ~ epred14_0 )
    & ( op1(e11,e11) = e12
      | op1(e13,e13) = e11
      | op1(e10,e10) = e10
      | ~ epred14_0 )
    & ( op1(e12,e12) = e12
      | op1(e13,e13) = e11
      | op1(e10,e10) = e10
      | ~ epred14_0 )
    & ( op1(e13,e13) = e12
      | op1(e13,e13) = e11
      | op1(e10,e10) = e10
      | ~ epred14_0 )
    & ( op1(e10,e10) = e12
      | op1(e10,e10) = e11
      | op1(e11,e11) = e10
      | ~ epred14_0 )
    & ( op1(e11,e11) = e12
      | op1(e10,e10) = e11
      | op1(e11,e11) = e10
      | ~ epred14_0 )
    & ( op1(e12,e12) = e12
      | op1(e10,e10) = e11
      | op1(e11,e11) = e10
      | ~ epred14_0 )
    & ( op1(e13,e13) = e12
      | op1(e10,e10) = e11
      | op1(e11,e11) = e10
      | ~ epred14_0 )
    & ( op1(e10,e10) = e12
      | op1(e11,e11) = e11
      | op1(e11,e11) = e10
      | ~ epred14_0 )
    & ( op1(e11,e11) = e12
      | op1(e11,e11) = e11
      | op1(e11,e11) = e10
      | ~ epred14_0 )
    & ( op1(e12,e12) = e12
      | op1(e11,e11) = e11
      | op1(e11,e11) = e10
      | ~ epred14_0 )
    & ( op1(e13,e13) = e12
      | op1(e11,e11) = e11
      | op1(e11,e11) = e10
      | ~ epred14_0 )
    & ( op1(e10,e10) = e12
      | op1(e12,e12) = e11
      | op1(e11,e11) = e10
      | ~ epred14_0 )
    & ( op1(e11,e11) = e12
      | op1(e12,e12) = e11
      | op1(e11,e11) = e10
      | ~ epred14_0 )
    & ( op1(e12,e12) = e12
      | op1(e12,e12) = e11
      | op1(e11,e11) = e10
      | ~ epred14_0 )
    & ( op1(e13,e13) = e12
      | op1(e12,e12) = e11
      | op1(e11,e11) = e10
      | ~ epred14_0 )
    & ( op1(e10,e10) = e12
      | op1(e13,e13) = e11
      | op1(e11,e11) = e10
      | ~ epred14_0 )
    & ( op1(e11,e11) = e12
      | op1(e13,e13) = e11
      | op1(e11,e11) = e10
      | ~ epred14_0 )
    & ( op1(e12,e12) = e12
      | op1(e13,e13) = e11
      | op1(e11,e11) = e10
      | ~ epred14_0 )
    & ( op1(e13,e13) = e12
      | op1(e13,e13) = e11
      | op1(e11,e11) = e10
      | ~ epred14_0 )
    & ( op1(e10,e10) = e12
      | op1(e10,e10) = e11
      | op1(e12,e12) = e10
      | ~ epred14_0 )
    & ( op1(e11,e11) = e12
      | op1(e10,e10) = e11
      | op1(e12,e12) = e10
      | ~ epred14_0 )
    & ( op1(e12,e12) = e12
      | op1(e10,e10) = e11
      | op1(e12,e12) = e10
      | ~ epred14_0 )
    & ( op1(e13,e13) = e12
      | op1(e10,e10) = e11
      | op1(e12,e12) = e10
      | ~ epred14_0 )
    & ( op1(e10,e10) = e12
      | op1(e11,e11) = e11
      | op1(e12,e12) = e10
      | ~ epred14_0 )
    & ( op1(e11,e11) = e12
      | op1(e11,e11) = e11
      | op1(e12,e12) = e10
      | ~ epred14_0 )
    & ( op1(e12,e12) = e12
      | op1(e11,e11) = e11
      | op1(e12,e12) = e10
      | ~ epred14_0 )
    & ( op1(e13,e13) = e12
      | op1(e11,e11) = e11
      | op1(e12,e12) = e10
      | ~ epred14_0 )
    & ( op1(e10,e10) = e12
      | op1(e12,e12) = e11
      | op1(e12,e12) = e10
      | ~ epred14_0 )
    & ( op1(e11,e11) = e12
      | op1(e12,e12) = e11
      | op1(e12,e12) = e10
      | ~ epred14_0 )
    & ( op1(e12,e12) = e12
      | op1(e12,e12) = e11
      | op1(e12,e12) = e10
      | ~ epred14_0 )
    & ( op1(e13,e13) = e12
      | op1(e12,e12) = e11
      | op1(e12,e12) = e10
      | ~ epred14_0 )
    & ( op1(e10,e10) = e12
      | op1(e13,e13) = e11
      | op1(e12,e12) = e10
      | ~ epred14_0 )
    & ( op1(e11,e11) = e12
      | op1(e13,e13) = e11
      | op1(e12,e12) = e10
      | ~ epred14_0 )
    & ( op1(e12,e12) = e12
      | op1(e13,e13) = e11
      | op1(e12,e12) = e10
      | ~ epred14_0 )
    & ( op1(e13,e13) = e12
      | op1(e13,e13) = e11
      | op1(e12,e12) = e10
      | ~ epred14_0 )
    & ( op1(e10,e10) = e12
      | op1(e10,e10) = e11
      | op1(e13,e13) = e10
      | ~ epred14_0 )
    & ( op1(e11,e11) = e12
      | op1(e10,e10) = e11
      | op1(e13,e13) = e10
      | ~ epred14_0 )
    & ( op1(e12,e12) = e12
      | op1(e10,e10) = e11
      | op1(e13,e13) = e10
      | ~ epred14_0 )
    & ( op1(e13,e13) = e12
      | op1(e10,e10) = e11
      | op1(e13,e13) = e10
      | ~ epred14_0 )
    & ( op1(e10,e10) = e12
      | op1(e11,e11) = e11
      | op1(e13,e13) = e10
      | ~ epred14_0 )
    & ( op1(e11,e11) = e12
      | op1(e11,e11) = e11
      | op1(e13,e13) = e10
      | ~ epred14_0 )
    & ( op1(e12,e12) = e12
      | op1(e11,e11) = e11
      | op1(e13,e13) = e10
      | ~ epred14_0 )
    & ( op1(e13,e13) = e12
      | op1(e11,e11) = e11
      | op1(e13,e13) = e10
      | ~ epred14_0 )
    & ( op1(e10,e10) = e12
      | op1(e12,e12) = e11
      | op1(e13,e13) = e10
      | ~ epred14_0 )
    & ( op1(e11,e11) = e12
      | op1(e12,e12) = e11
      | op1(e13,e13) = e10
      | ~ epred14_0 )
    & ( op1(e12,e12) = e12
      | op1(e12,e12) = e11
      | op1(e13,e13) = e10
      | ~ epred14_0 )
    & ( op1(e13,e13) = e12
      | op1(e12,e12) = e11
      | op1(e13,e13) = e10
      | ~ epred14_0 )
    & ( op1(e10,e10) = e12
      | op1(e13,e13) = e11
      | op1(e13,e13) = e10
      | ~ epred14_0 )
    & ( op1(e11,e11) = e12
      | op1(e13,e13) = e11
      | op1(e13,e13) = e10
      | ~ epred14_0 )
    & ( op1(e12,e12) = e12
      | op1(e13,e13) = e11
      | op1(e13,e13) = e10
      | ~ epred14_0 )
    & ( op1(e13,e13) = e12
      | op1(e13,e13) = e11
      | op1(e13,e13) = e10
      | ~ epred14_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).

cnf(c_0_36,plain,
    ( op1(e13,e13) = e13
    | epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_37,plain,
    e10 = op1(e13,e13),
    inference(split_conjunct,[status(thm)],[ax24]) ).

cnf(c_0_38,plain,
    e10 != e13,
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_39,plain,
    op1(e12,e12) != op1(e12,e13),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_40,plain,
    e11 = op1(e12,e13),
    inference(split_conjunct,[status(thm)],[ax24]) ).

fof(c_0_41,plain,
    ( epred13_0
  <=> ( ( op2(e20,e20) = e20
        & op2(e21,e21) = e20
        & op2(e22,e22) = e20
        & op2(e23,e23) = e20 )
      | ( op2(e20,e20) = e21
        & op2(e21,e21) = e21
        & op2(e22,e22) = e21
        & op2(e23,e23) = e21 )
      | ( op2(e20,e20) = e22
        & op2(e21,e21) = e22
        & op2(e22,e22) = e22
        & op2(e23,e23) = e22 ) ) ),
    introduced(definition) ).

cnf(c_0_42,plain,
    h10(e12) = e23,
    inference(split_conjunct,[status(thm)],[ax35]) ).

cnf(c_0_43,plain,
    h3(e13) = e23,
    inference(split_conjunct,[status(thm)],[ax28]) ).

cnf(c_0_44,plain,
    e20 != e23,
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_45,plain,
    ( op1(e13,e13) = e12
    | op1(e12,e12) = e11
    | op1(e10,e10) = e10
    | ~ epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_46,plain,
    epred14_0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).

cnf(c_0_47,plain,
    op1(e12,e12) != e11,
    inference(rw,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_48,plain,
    e10 != e12,
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_49,axiom,
    ( epred13_0
    | ( op2(e20,e20) = e23
      & op2(e21,e21) = e23
      & op2(e22,e22) = e23
      & op2(e23,e23) = e23 ) ),
    inference(apply_def,[status(thm)],[ax23,c_0_41]) ).

cnf(c_0_50,plain,
    h3(e10) = op2(e23,e23),
    inference(split_conjunct,[status(thm)],[ax28]) ).

cnf(c_0_51,plain,
    h3(e13) = h10(e12),
    inference(rw,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_52,plain,
    h3(e13) != e20,
    inference(rw,[status(thm)],[c_0_44,c_0_43]) ).

cnf(c_0_53,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e10) = e11
    | op1(e12,e12) = e10
    | ~ epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_54,plain,
    op1(e10,e10) = e10,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_37]),c_0_46])]),c_0_47]),c_0_48]) ).

cnf(c_0_55,plain,
    e10 != e11,
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_56,plain,
    ( 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) ),
    inference(fof_simplification,[status(thm)],[ax18]) ).

fof(c_0_57,plain,
    ( epred13_0
   => ( ( op2(e20,e20) = e20
        & op2(e21,e21) = e20
        & op2(e22,e22) = e20
        & op2(e23,e23) = e20 )
      | ( op2(e20,e20) = e21
        & op2(e21,e21) = e21
        & op2(e22,e22) = e21
        & op2(e23,e23) = e21 )
      | ( op2(e20,e20) = e22
        & op2(e21,e21) = e22
        & op2(e22,e22) = e22
        & op2(e23,e23) = e22 ) ) ),
    inference(split_equiv,[status(thm)],[c_0_41]) ).

fof(c_0_58,plain,
    ( ( op2(e20,e20) = e23
      | epred13_0 )
    & ( op2(e21,e21) = e23
      | epred13_0 )
    & ( op2(e22,e22) = e23
      | epred13_0 )
    & ( op2(e23,e23) = e23
      | epred13_0 ) ),
    inference(distribute,[status(thm)],[c_0_49]) ).

cnf(c_0_59,plain,
    e20 = op2(e23,e23),
    inference(split_conjunct,[status(thm)],[ax25]) ).

cnf(c_0_60,plain,
    op2(h10(e12),h10(e12)) = h3(e10),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_43]),c_0_51]),c_0_43]),c_0_51]) ).

cnf(c_0_61,plain,
    h1(e12) = e20,
    inference(split_conjunct,[status(thm)],[ax26]) ).

cnf(c_0_62,plain,
    e20 != h10(e12),
    inference(rw,[status(thm)],[c_0_52,c_0_51]) ).

cnf(c_0_63,plain,
    e20 != e21,
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_64,plain,
    e20 != e22,
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_65,plain,
    op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_66,plain,
    op1(e12,e12) = e10,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54]),c_0_54]),c_0_46])]),c_0_55]),c_0_48]) ).

cnf(c_0_67,plain,
    op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_68,plain,
    op1(e10,e10) != op1(e12,e10),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_69,plain,
    op1(e12,e10) != op1(e12,e13),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

fof(c_0_70,plain,
    ( 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) ),
    inference(fof_nnf,[status(thm)],[c_0_56]) ).

fof(c_0_71,plain,
    ( ( op2(e20,e20) = e22
      | op2(e20,e20) = e21
      | op2(e20,e20) = e20
      | ~ epred13_0 )
    & ( op2(e21,e21) = e22
      | op2(e20,e20) = e21
      | op2(e20,e20) = e20
      | ~ epred13_0 )
    & ( op2(e22,e22) = e22
      | op2(e20,e20) = e21
      | op2(e20,e20) = e20
      | ~ epred13_0 )
    & ( op2(e23,e23) = e22
      | op2(e20,e20) = e21
      | op2(e20,e20) = e20
      | ~ epred13_0 )
    & ( op2(e20,e20) = e22
      | op2(e21,e21) = e21
      | op2(e20,e20) = e20
      | ~ epred13_0 )
    & ( op2(e21,e21) = e22
      | op2(e21,e21) = e21
      | op2(e20,e20) = e20
      | ~ epred13_0 )
    & ( op2(e22,e22) = e22
      | op2(e21,e21) = e21
      | op2(e20,e20) = e20
      | ~ epred13_0 )
    & ( op2(e23,e23) = e22
      | op2(e21,e21) = e21
      | op2(e20,e20) = e20
      | ~ epred13_0 )
    & ( op2(e20,e20) = e22
      | op2(e22,e22) = e21
      | op2(e20,e20) = e20
      | ~ epred13_0 )
    & ( op2(e21,e21) = e22
      | op2(e22,e22) = e21
      | op2(e20,e20) = e20
      | ~ epred13_0 )
    & ( op2(e22,e22) = e22
      | op2(e22,e22) = e21
      | op2(e20,e20) = e20
      | ~ epred13_0 )
    & ( op2(e23,e23) = e22
      | op2(e22,e22) = e21
      | op2(e20,e20) = e20
      | ~ epred13_0 )
    & ( op2(e20,e20) = e22
      | op2(e23,e23) = e21
      | op2(e20,e20) = e20
      | ~ epred13_0 )
    & ( op2(e21,e21) = e22
      | op2(e23,e23) = e21
      | op2(e20,e20) = e20
      | ~ epred13_0 )
    & ( op2(e22,e22) = e22
      | op2(e23,e23) = e21
      | op2(e20,e20) = e20
      | ~ epred13_0 )
    & ( op2(e23,e23) = e22
      | op2(e23,e23) = e21
      | op2(e20,e20) = e20
      | ~ epred13_0 )
    & ( op2(e20,e20) = e22
      | op2(e20,e20) = e21
      | op2(e21,e21) = e20
      | ~ epred13_0 )
    & ( op2(e21,e21) = e22
      | op2(e20,e20) = e21
      | op2(e21,e21) = e20
      | ~ epred13_0 )
    & ( op2(e22,e22) = e22
      | op2(e20,e20) = e21
      | op2(e21,e21) = e20
      | ~ epred13_0 )
    & ( op2(e23,e23) = e22
      | op2(e20,e20) = e21
      | op2(e21,e21) = e20
      | ~ epred13_0 )
    & ( op2(e20,e20) = e22
      | op2(e21,e21) = e21
      | op2(e21,e21) = e20
      | ~ epred13_0 )
    & ( op2(e21,e21) = e22
      | op2(e21,e21) = e21
      | op2(e21,e21) = e20
      | ~ epred13_0 )
    & ( op2(e22,e22) = e22
      | op2(e21,e21) = e21
      | op2(e21,e21) = e20
      | ~ epred13_0 )
    & ( op2(e23,e23) = e22
      | op2(e21,e21) = e21
      | op2(e21,e21) = e20
      | ~ epred13_0 )
    & ( op2(e20,e20) = e22
      | op2(e22,e22) = e21
      | op2(e21,e21) = e20
      | ~ epred13_0 )
    & ( op2(e21,e21) = e22
      | op2(e22,e22) = e21
      | op2(e21,e21) = e20
      | ~ epred13_0 )
    & ( op2(e22,e22) = e22
      | op2(e22,e22) = e21
      | op2(e21,e21) = e20
      | ~ epred13_0 )
    & ( op2(e23,e23) = e22
      | op2(e22,e22) = e21
      | op2(e21,e21) = e20
      | ~ epred13_0 )
    & ( op2(e20,e20) = e22
      | op2(e23,e23) = e21
      | op2(e21,e21) = e20
      | ~ epred13_0 )
    & ( op2(e21,e21) = e22
      | op2(e23,e23) = e21
      | op2(e21,e21) = e20
      | ~ epred13_0 )
    & ( op2(e22,e22) = e22
      | op2(e23,e23) = e21
      | op2(e21,e21) = e20
      | ~ epred13_0 )
    & ( op2(e23,e23) = e22
      | op2(e23,e23) = e21
      | op2(e21,e21) = e20
      | ~ epred13_0 )
    & ( op2(e20,e20) = e22
      | op2(e20,e20) = e21
      | op2(e22,e22) = e20
      | ~ epred13_0 )
    & ( op2(e21,e21) = e22
      | op2(e20,e20) = e21
      | op2(e22,e22) = e20
      | ~ epred13_0 )
    & ( op2(e22,e22) = e22
      | op2(e20,e20) = e21
      | op2(e22,e22) = e20
      | ~ epred13_0 )
    & ( op2(e23,e23) = e22
      | op2(e20,e20) = e21
      | op2(e22,e22) = e20
      | ~ epred13_0 )
    & ( op2(e20,e20) = e22
      | op2(e21,e21) = e21
      | op2(e22,e22) = e20
      | ~ epred13_0 )
    & ( op2(e21,e21) = e22
      | op2(e21,e21) = e21
      | op2(e22,e22) = e20
      | ~ epred13_0 )
    & ( op2(e22,e22) = e22
      | op2(e21,e21) = e21
      | op2(e22,e22) = e20
      | ~ epred13_0 )
    & ( op2(e23,e23) = e22
      | op2(e21,e21) = e21
      | op2(e22,e22) = e20
      | ~ epred13_0 )
    & ( op2(e20,e20) = e22
      | op2(e22,e22) = e21
      | op2(e22,e22) = e20
      | ~ epred13_0 )
    & ( op2(e21,e21) = e22
      | op2(e22,e22) = e21
      | op2(e22,e22) = e20
      | ~ epred13_0 )
    & ( op2(e22,e22) = e22
      | op2(e22,e22) = e21
      | op2(e22,e22) = e20
      | ~ epred13_0 )
    & ( op2(e23,e23) = e22
      | op2(e22,e22) = e21
      | op2(e22,e22) = e20
      | ~ epred13_0 )
    & ( op2(e20,e20) = e22
      | op2(e23,e23) = e21
      | op2(e22,e22) = e20
      | ~ epred13_0 )
    & ( op2(e21,e21) = e22
      | op2(e23,e23) = e21
      | op2(e22,e22) = e20
      | ~ epred13_0 )
    & ( op2(e22,e22) = e22
      | op2(e23,e23) = e21
      | op2(e22,e22) = e20
      | ~ epred13_0 )
    & ( op2(e23,e23) = e22
      | op2(e23,e23) = e21
      | op2(e22,e22) = e20
      | ~ epred13_0 )
    & ( op2(e20,e20) = e22
      | op2(e20,e20) = e21
      | op2(e23,e23) = e20
      | ~ epred13_0 )
    & ( op2(e21,e21) = e22
      | op2(e20,e20) = e21
      | op2(e23,e23) = e20
      | ~ epred13_0 )
    & ( op2(e22,e22) = e22
      | op2(e20,e20) = e21
      | op2(e23,e23) = e20
      | ~ epred13_0 )
    & ( op2(e23,e23) = e22
      | op2(e20,e20) = e21
      | op2(e23,e23) = e20
      | ~ epred13_0 )
    & ( op2(e20,e20) = e22
      | op2(e21,e21) = e21
      | op2(e23,e23) = e20
      | ~ epred13_0 )
    & ( op2(e21,e21) = e22
      | op2(e21,e21) = e21
      | op2(e23,e23) = e20
      | ~ epred13_0 )
    & ( op2(e22,e22) = e22
      | op2(e21,e21) = e21
      | op2(e23,e23) = e20
      | ~ epred13_0 )
    & ( op2(e23,e23) = e22
      | op2(e21,e21) = e21
      | op2(e23,e23) = e20
      | ~ epred13_0 )
    & ( op2(e20,e20) = e22
      | op2(e22,e22) = e21
      | op2(e23,e23) = e20
      | ~ epred13_0 )
    & ( op2(e21,e21) = e22
      | op2(e22,e22) = e21
      | op2(e23,e23) = e20
      | ~ epred13_0 )
    & ( op2(e22,e22) = e22
      | op2(e22,e22) = e21
      | op2(e23,e23) = e20
      | ~ epred13_0 )
    & ( op2(e23,e23) = e22
      | op2(e22,e22) = e21
      | op2(e23,e23) = e20
      | ~ epred13_0 )
    & ( op2(e20,e20) = e22
      | op2(e23,e23) = e21
      | op2(e23,e23) = e20
      | ~ epred13_0 )
    & ( op2(e21,e21) = e22
      | op2(e23,e23) = e21
      | op2(e23,e23) = e20
      | ~ epred13_0 )
    & ( op2(e22,e22) = e22
      | op2(e23,e23) = e21
      | op2(e23,e23) = e20
      | ~ epred13_0 )
    & ( op2(e23,e23) = e22
      | op2(e23,e23) = e21
      | op2(e23,e23) = e20
      | ~ epred13_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])]) ).

cnf(c_0_72,plain,
    h2(e10) = op2(e22,e22),
    inference(split_conjunct,[status(thm)],[ax27]) ).

cnf(c_0_73,plain,
    h7(e12) = e22,
    inference(split_conjunct,[status(thm)],[ax32]) ).

cnf(c_0_74,plain,
    ( op2(e23,e23) = e23
    | epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_75,plain,
    h3(e10) = h1(e12),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_43]),c_0_51]),c_0_43]),c_0_51]),c_0_60]),c_0_61]) ).

cnf(c_0_76,plain,
    h10(e12) != h1(e12),
    inference(rw,[status(thm)],[c_0_62,c_0_61]) ).

cnf(c_0_77,plain,
    e21 != h1(e12),
    inference(rw,[status(thm)],[c_0_63,c_0_61]) ).

cnf(c_0_78,plain,
    h4(e12) = e21,
    inference(split_conjunct,[status(thm)],[ax29]) ).

cnf(c_0_79,plain,
    e22 != h1(e12),
    inference(rw,[status(thm)],[c_0_64,c_0_61]) ).

cnf(c_0_80,plain,
    e21 = op2(e22,e23),
    inference(split_conjunct,[status(thm)],[ax25]) ).

cnf(c_0_81,plain,
    h6(e11) = op2(e21,e23),
    inference(split_conjunct,[status(thm)],[ax31]) ).

cnf(c_0_82,plain,
    h7(e11) = op2(e22,e20),
    inference(split_conjunct,[status(thm)],[ax32]) ).

cnf(c_0_83,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e10) = e11
    | op1(e11,e11) = e10
    | ~ epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_84,plain,
    op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_85,plain,
    op1(e10,e12) = op1(e12,e10),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66]),c_0_66]) ).

cnf(c_0_86,plain,
    op1(e12,op1(e12,e10)) = e10,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_66]),c_0_54]) ).

cnf(c_0_87,plain,
    ( op1(e10,e12) = e10
    | op1(e10,e12) = e11
    | op1(e10,e12) = e12
    | op1(e10,e12) = e13 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_88,plain,
    op1(e12,e10) != e10,
    inference(rw,[status(thm)],[c_0_68,c_0_54]) ).

cnf(c_0_89,plain,
    op1(e12,e10) != e11,
    inference(rw,[status(thm)],[c_0_69,c_0_40]) ).

cnf(c_0_90,plain,
    op1(e13,e12) != op1(e13,e13),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_91,plain,
    op2(e20,e20) != op2(e20,e22),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_92,plain,
    h2(e11) = op2(e20,e22),
    inference(split_conjunct,[status(thm)],[ax27]) ).

cnf(c_0_93,plain,
    h4(e10) = op2(e20,e20),
    inference(split_conjunct,[status(thm)],[ax29]) ).

cnf(c_0_94,plain,
    ( op2(e23,e23) = e22
    | op2(e23,e23) = e21
    | op2(e22,e22) = e20
    | ~ epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_95,plain,
    op2(h7(e12),h7(e12)) = h2(e10),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73]),c_0_73]) ).

cnf(c_0_96,plain,
    epred13_0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_43]),c_0_51]),c_0_43]),c_0_51]),c_0_60]),c_0_75]),c_0_43]),c_0_51]),c_0_76]) ).

cnf(c_0_97,plain,
    h4(e12) != h1(e12),
    inference(rw,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_98,plain,
    h7(e12) != h1(e12),
    inference(rw,[status(thm)],[c_0_79,c_0_73]) ).

cnf(c_0_99,plain,
    op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_100,plain,
    op2(h7(e12),h10(e12)) = h4(e12),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_73]),c_0_43]),c_0_51]),c_0_78]) ).

cnf(c_0_101,plain,
    op2(h4(e12),h10(e12)) = h6(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_78]),c_0_43]),c_0_51]) ).

cnf(c_0_102,plain,
    op2(h7(e12),h1(e12)) = h7(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_73]),c_0_61]) ).

cnf(c_0_103,plain,
    op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_104,plain,
    op1(e11,e11) != op1(e12,e11),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_105,plain,
    op1(e11,e11) = e10,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_54]),c_0_54]),c_0_46])]),c_0_55]),c_0_48]) ).

cnf(c_0_106,plain,
    op1(e12,e11) != op1(e12,e13),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_107,plain,
    op1(op1(e12,e10),e12) = e10,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).

cnf(c_0_108,plain,
    ( op1(e12,e10) = e13
    | op1(e12,e10) = e12 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_85]),c_0_85]),c_0_85]),c_0_85]),c_0_88]),c_0_89]) ).

cnf(c_0_109,plain,
    op1(e13,e12) != e10,
    inference(rw,[status(thm)],[c_0_90,c_0_37]) ).

fof(c_0_110,plain,
    ( epred1_0
  <=> ( 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 ) ) ),
    introduced(definition) ).

fof(c_0_111,plain,
    ( epred2_0
  <=> ( 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 ) ) ),
    introduced(definition) ).

fof(c_0_112,plain,
    ( epred3_0
  <=> ( 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 ) ) ),
    introduced(definition) ).

fof(c_0_113,plain,
    ( epred4_0
  <=> ( 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 ) ) ),
    introduced(definition) ).

fof(c_0_114,plain,
    ( epred5_0
  <=> ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
      & h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
      & h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
      & h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
      & h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
      & h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
      & h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
      & h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
      & h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
      & h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
      & h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
      & h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
      & h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
      & h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
      & h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
      & h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
      & ( h5(e10) = e20
        | h5(e11) = e20
        | h5(e12) = e20
        | h5(e13) = e20 )
      & ( h5(e10) = e21
        | h5(e11) = e21
        | h5(e12) = e21
        | h5(e13) = e21 )
      & ( h5(e10) = e22
        | h5(e11) = e22
        | h5(e12) = e22
        | h5(e13) = e22 ) ) ),
    introduced(definition) ).

fof(c_0_115,plain,
    ( epred6_0
  <=> ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
      & h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
      & h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
      & h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
      & h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
      & h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
      & h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
      & h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
      & h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
      & h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
      & h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
      & h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
      & h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
      & h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
      & h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
      & h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
      & ( h6(e10) = e20
        | h6(e11) = e20
        | h6(e12) = e20
        | h6(e13) = e20 )
      & ( h6(e10) = e21
        | h6(e11) = e21
        | h6(e12) = e21
        | h6(e13) = e21 )
      & ( h6(e10) = e22
        | h6(e11) = e22
        | h6(e12) = e22
        | h6(e13) = e22 ) ) ),
    introduced(definition) ).

fof(c_0_116,plain,
    ( epred7_0
  <=> ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
      & h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
      & h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
      & h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
      & h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
      & h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
      & h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
      & h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
      & h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
      & h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
      & h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
      & h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
      & h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
      & h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
      & h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
      & h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
      & ( h7(e10) = e20
        | h7(e11) = e20
        | h7(e12) = e20
        | h7(e13) = e20 )
      & ( h7(e10) = e21
        | h7(e11) = e21
        | h7(e12) = e21
        | h7(e13) = e21 )
      & ( h7(e10) = e22
        | h7(e11) = e22
        | h7(e12) = e22
        | h7(e13) = e22 ) ) ),
    introduced(definition) ).

fof(c_0_117,plain,
    ( epred8_0
  <=> ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
      & h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
      & h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
      & h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
      & h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
      & h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
      & h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
      & h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
      & h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
      & h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
      & h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
      & h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
      & h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
      & h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
      & h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
      & h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
      & ( h8(e10) = e20
        | h8(e11) = e20
        | h8(e12) = e20
        | h8(e13) = e20 )
      & ( h8(e10) = e21
        | h8(e11) = e21
        | h8(e12) = e21
        | h8(e13) = e21 )
      & ( h8(e10) = e22
        | h8(e11) = e22
        | h8(e12) = e22
        | h8(e13) = e22 ) ) ),
    introduced(definition) ).

fof(c_0_118,plain,
    ( epred9_0
  <=> ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
      & h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
      & h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
      & h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
      & h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
      & h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
      & h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
      & h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
      & h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
      & h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
      & h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
      & h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
      & h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
      & h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
      & h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
      & h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
      & ( h9(e10) = e20
        | h9(e11) = e20
        | h9(e12) = e20
        | h9(e13) = e20 )
      & ( h9(e10) = e21
        | h9(e11) = e21
        | h9(e12) = e21
        | h9(e13) = e21 )
      & ( h9(e10) = e22
        | h9(e11) = e22
        | h9(e12) = e22
        | h9(e13) = e22 ) ) ),
    introduced(definition) ).

fof(c_0_119,plain,
    ( epred10_0
  <=> ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
      & h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
      & h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
      & h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
      & h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
      & h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
      & h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
      & h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
      & h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
      & h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
      & h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
      & h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
      & h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
      & h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
      & h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
      & h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
      & ( h10(e10) = e20
        | h10(e11) = e20
        | h10(e12) = e20
        | h10(e13) = e20 )
      & ( h10(e10) = e21
        | h10(e11) = e21
        | h10(e12) = e21
        | h10(e13) = e21 )
      & ( h10(e10) = e22
        | h10(e11) = e22
        | h10(e12) = e22
        | h10(e13) = e22 ) ) ),
    introduced(definition) ).

fof(c_0_120,plain,
    ( epred11_0
  <=> ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
      & h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
      & h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
      & h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
      & h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
      & h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
      & h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
      & h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
      & h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
      & h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
      & h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
      & h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
      & h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
      & h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
      & h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
      & h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
      & ( h11(e10) = e20
        | h11(e11) = e20
        | h11(e12) = e20
        | h11(e13) = e20 )
      & ( h11(e10) = e21
        | h11(e11) = e21
        | h11(e12) = e21
        | h11(e13) = e21 )
      & ( h11(e10) = e22
        | h11(e11) = e22
        | h11(e12) = e22
        | h11(e13) = e22 ) ) ),
    introduced(definition) ).

fof(c_0_121,plain,
    ( epred12_0
  <=> ( h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
      & h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
      & h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
      & h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
      & h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
      & h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
      & h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
      & h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
      & h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
      & h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
      & h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
      & h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
      & h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
      & h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
      & h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
      & h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
      & ( h12(e10) = e20
        | h12(e11) = e20
        | h12(e12) = e20
        | h12(e13) = e20 )
      & ( h12(e10) = e21
        | h12(e11) = e21
        | h12(e12) = e21
        | h12(e13) = e21 )
      & ( h12(e10) = e22
        | h12(e11) = e22
        | h12(e12) = e22
        | h12(e13) = e22 ) ) ),
    introduced(definition) ).

cnf(c_0_122,plain,
    op2(h1(e12),h7(e12)) != op2(h1(e12),h1(e12)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_61]),c_0_73]),c_0_61]),c_0_61]) ).

cnf(c_0_123,plain,
    op2(h1(e12),h7(e12)) = h2(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_61]),c_0_73]) ).

cnf(c_0_124,plain,
    op2(h1(e12),h1(e12)) = h4(e10),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_61]),c_0_61]) ).

cnf(c_0_125,plain,
    ( op2(e23,e23) = e22
    | op2(e23,e23) = e21
    | op2(e20,e20) = e20
    | ~ epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_126,plain,
    op2(e21,e23) != op2(e22,e23),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_127,plain,
    op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_128,plain,
    h2(e10) = h1(e12),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_73]),c_0_73]),c_0_95]),c_0_61]),c_0_43]),c_0_51]),c_0_43]),c_0_51]),c_0_60]),c_0_75]),c_0_78]),c_0_43]),c_0_51]),c_0_43]),c_0_51]),c_0_60]),c_0_75]),c_0_73]),c_0_96])]),c_0_97]),c_0_98]) ).

cnf(c_0_129,plain,
    h7(e11) = h6(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_73]),c_0_43]),c_0_51]),c_0_100]),c_0_43]),c_0_51]),c_0_101]),c_0_73]),c_0_43]),c_0_51]),c_0_43]),c_0_51]),c_0_60]),c_0_75]),c_0_102]) ).

cnf(c_0_130,plain,
    h12(e11) = op2(e23,e22),
    inference(split_conjunct,[status(thm)],[ax37]) ).

cnf(c_0_131,plain,
    op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_132,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_133,plain,
    op1(e10,e13) = op1(e12,e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_66]),c_0_40]) ).

cnf(c_0_134,plain,
    op1(e12,e11) != e10,
    inference(rw,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_135,plain,
    op1(e12,e11) != e11,
    inference(rw,[status(thm)],[c_0_106,c_0_40]) ).

cnf(c_0_136,plain,
    op1(e12,e10) != op1(e12,e11),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_137,plain,
    op1(e12,e10) = e12,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]) ).

fof(c_0_138,negated_conjecture,
    ~ ( ( epred1_0
        & ( h1(e10) = e23
          | h1(e11) = e23
          | h1(e12) = e23
          | h1(e13) = e23 ) )
      | ( epred2_0
        & ( h2(e10) = e23
          | h2(e11) = e23
          | h2(e12) = e23
          | h2(e13) = e23 ) )
      | ( epred3_0
        & ( h3(e10) = e23
          | h3(e11) = e23
          | h3(e12) = e23
          | h3(e13) = e23 ) )
      | ( epred4_0
        & ( h4(e10) = e23
          | h4(e11) = e23
          | h4(e12) = e23
          | h4(e13) = e23 ) )
      | ( epred5_0
        & ( h5(e10) = e23
          | h5(e11) = e23
          | h5(e12) = e23
          | h5(e13) = e23 ) )
      | ( epred6_0
        & ( h6(e10) = e23
          | h6(e11) = e23
          | h6(e12) = e23
          | h6(e13) = e23 ) )
      | ( epred7_0
        & ( h7(e10) = e23
          | h7(e11) = e23
          | h7(e12) = e23
          | h7(e13) = e23 ) )
      | ( epred8_0
        & ( h8(e10) = e23
          | h8(e11) = e23
          | h8(e12) = e23
          | h8(e13) = e23 ) )
      | ( epred9_0
        & ( h9(e10) = e23
          | h9(e11) = e23
          | h9(e12) = e23
          | h9(e13) = e23 ) )
      | ( epred10_0
        & ( h10(e10) = e23
          | h10(e11) = e23
          | h10(e12) = e23
          | h10(e13) = e23 ) )
      | ( epred11_0
        & ( h11(e10) = e23
          | h11(e11) = e23
          | h11(e12) = e23
          | h11(e13) = e23 ) )
      | ( epred12_0
        & ( h12(e10) = e23
          | h12(e11) = e23
          | h12(e12) = e23
          | h12(e13) = e23 ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[co1]),c_0_110]),c_0_111]),c_0_112]),c_0_113]),c_0_114]),c_0_115]),c_0_116]),c_0_117]),c_0_118]),c_0_119]),c_0_120]),c_0_121]) ).

cnf(c_0_139,plain,
    h5(e11) = op2(e21,e22),
    inference(split_conjunct,[status(thm)],[ax30]) ).

cnf(c_0_140,plain,
    h1(e10) = op2(e21,e21),
    inference(split_conjunct,[status(thm)],[ax26]) ).

cnf(c_0_141,plain,
    h4(e10) != h2(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_123]),c_0_124]) ).

cnf(c_0_142,plain,
    h4(e10) = h1(e12),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_61]),c_0_61]),c_0_124]),c_0_61]),c_0_43]),c_0_51]),c_0_43]),c_0_51]),c_0_60]),c_0_75]),c_0_78]),c_0_43]),c_0_51]),c_0_43]),c_0_51]),c_0_60]),c_0_75]),c_0_73]),c_0_96])]),c_0_97]),c_0_98]) ).

cnf(c_0_143,plain,
    h6(e11) != h4(e12),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_73]),c_0_43]),c_0_51]),c_0_100]),c_0_78]),c_0_43]),c_0_51]),c_0_101]) ).

cnf(c_0_144,plain,
    h6(e11) = h2(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_73]),c_0_73]),c_0_95]),c_0_128]),c_0_73]),c_0_123]),c_0_73]),c_0_73]),c_0_73]),c_0_95]),c_0_128]),c_0_102]),c_0_129]) ).

cnf(c_0_145,plain,
    op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_146,plain,
    op2(h10(e12),h7(e12)) = h12(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_43]),c_0_51]),c_0_73]) ).

cnf(c_0_147,plain,
    op2(h2(e11),h7(e12)) = op2(h1(e12),h2(e10)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_61]),c_0_73]),c_0_123]),c_0_73]),c_0_61]),c_0_73]),c_0_73]),c_0_95]) ).

cnf(c_0_148,plain,
    h3(e11) = op2(e20,e23),
    inference(split_conjunct,[status(thm)],[ax28]) ).

cnf(c_0_149,plain,
    op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_150,plain,
    op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_151,plain,
    ( op1(e12,e11) = e13
    | op1(e12,e11) = e12 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_133]),c_0_133]),c_0_133]),c_0_133]),c_0_134]),c_0_135]) ).

cnf(c_0_152,plain,
    op1(e12,e11) != e12,
    inference(rw,[status(thm)],[c_0_136,c_0_137]) ).

fof(c_0_153,negated_conjecture,
    ( ( h1(e10) != e23
      | ~ epred1_0 )
    & ( h1(e11) != e23
      | ~ epred1_0 )
    & ( h1(e12) != e23
      | ~ epred1_0 )
    & ( h1(e13) != e23
      | ~ epred1_0 )
    & ( h2(e10) != e23
      | ~ epred2_0 )
    & ( h2(e11) != e23
      | ~ epred2_0 )
    & ( h2(e12) != e23
      | ~ epred2_0 )
    & ( h2(e13) != e23
      | ~ epred2_0 )
    & ( h3(e10) != e23
      | ~ epred3_0 )
    & ( h3(e11) != e23
      | ~ epred3_0 )
    & ( h3(e12) != e23
      | ~ epred3_0 )
    & ( h3(e13) != e23
      | ~ epred3_0 )
    & ( h4(e10) != e23
      | ~ epred4_0 )
    & ( h4(e11) != e23
      | ~ epred4_0 )
    & ( h4(e12) != e23
      | ~ epred4_0 )
    & ( h4(e13) != e23
      | ~ epred4_0 )
    & ( h5(e10) != e23
      | ~ epred5_0 )
    & ( h5(e11) != e23
      | ~ epred5_0 )
    & ( h5(e12) != e23
      | ~ epred5_0 )
    & ( h5(e13) != e23
      | ~ epred5_0 )
    & ( h6(e10) != e23
      | ~ epred6_0 )
    & ( h6(e11) != e23
      | ~ epred6_0 )
    & ( h6(e12) != e23
      | ~ epred6_0 )
    & ( h6(e13) != e23
      | ~ epred6_0 )
    & ( h7(e10) != e23
      | ~ epred7_0 )
    & ( h7(e11) != e23
      | ~ epred7_0 )
    & ( h7(e12) != e23
      | ~ epred7_0 )
    & ( h7(e13) != e23
      | ~ epred7_0 )
    & ( h8(e10) != e23
      | ~ epred8_0 )
    & ( h8(e11) != e23
      | ~ epred8_0 )
    & ( h8(e12) != e23
      | ~ epred8_0 )
    & ( h8(e13) != e23
      | ~ epred8_0 )
    & ( h9(e10) != e23
      | ~ epred9_0 )
    & ( h9(e11) != e23
      | ~ epred9_0 )
    & ( h9(e12) != e23
      | ~ epred9_0 )
    & ( h9(e13) != e23
      | ~ epred9_0 )
    & ( h10(e10) != e23
      | ~ epred10_0 )
    & ( h10(e11) != e23
      | ~ epred10_0 )
    & ( h10(e12) != e23
      | ~ epred10_0 )
    & ( h10(e13) != e23
      | ~ epred10_0 )
    & ( h11(e10) != e23
      | ~ epred11_0 )
    & ( h11(e11) != e23
      | ~ epred11_0 )
    & ( h11(e12) != e23
      | ~ epred11_0 )
    & ( h11(e13) != e23
      | ~ epred11_0 )
    & ( h12(e10) != e23
      | ~ epred12_0 )
    & ( h12(e11) != e23
      | ~ epred12_0 )
    & ( h12(e12) != e23
      | ~ epred12_0 )
    & ( h12(e13) != e23
      | ~ epred12_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_138])])]) ).

cnf(c_0_154,plain,
    h9(e13) = e23,
    inference(split_conjunct,[status(thm)],[ax34]) ).

cnf(c_0_155,plain,
    op2(e21,e21) != op2(e21,e22),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_156,plain,
    op2(h4(e12),h7(e12)) = h5(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_78]),c_0_73]) ).

cnf(c_0_157,plain,
    op2(h4(e12),h4(e12)) = h1(e10),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_78]),c_0_78]) ).

cnf(c_0_158,plain,
    ( op2(e23,e23) = e22
    | op2(e23,e23) = e21
    | op2(e21,e21) = e20
    | ~ epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_159,plain,
    ( op2(e21,e23) = e20
    | op2(e21,e23) = e21
    | op2(e21,e23) = e22
    | op2(e21,e23) = e23 ),
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_160,plain,
    h2(e11) != h1(e12),
    inference(rw,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_161,plain,
    h4(e12) != h2(e11),
    inference(rw,[status(thm)],[c_0_143,c_0_144]) ).

cnf(c_0_162,plain,
    op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22)),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_163,plain,
    op2(h6(e11),h7(e12)) = op2(h4(e12),h12(e11)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_78]),c_0_43]),c_0_51]),c_0_101]),c_0_73]),c_0_78]),c_0_43]),c_0_51]),c_0_73]),c_0_146]) ).

cnf(c_0_164,plain,
    op2(h2(e11),h7(e12)) = h1(e12),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_128]),c_0_124]),c_0_142]) ).

cnf(c_0_165,plain,
    h1(e11) = op2(e20,e21),
    inference(split_conjunct,[status(thm)],[ax26]) ).

cnf(c_0_166,plain,
    h4(e11) = op2(e21,e20),
    inference(split_conjunct,[status(thm)],[ax29]) ).

cnf(c_0_167,plain,
    op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21)),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_168,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_169,plain,
    op2(h1(e12),h10(e12)) = h3(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_61]),c_0_43]),c_0_51]) ).

cnf(c_0_170,plain,
    op2(e20,e23) != op2(e22,e23),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_171,plain,
    h10(e11) = op2(e23,e20),
    inference(split_conjunct,[status(thm)],[ax35]) ).

cnf(c_0_172,plain,
    h11(e11) = op2(e23,e21),
    inference(split_conjunct,[status(thm)],[ax36]) ).

cnf(c_0_173,plain,
    h8(e11) = op2(e22,e21),
    inference(split_conjunct,[status(thm)],[ax33]) ).

cnf(c_0_174,plain,
    op1(e11,e11) != op1(e11,e12),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_175,plain,
    op1(e10,e12) != op1(e11,e12),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_176,plain,
    op1(e11,e10) != op1(e11,e12),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_177,plain,
    op1(e11,e10) = op1(e10,e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_105]),c_0_105]) ).

cnf(c_0_178,plain,
    op1(e12,op1(e12,e11)) = op1(e10,e11),
    inference(rw,[status(thm)],[c_0_150,c_0_66]) ).

cnf(c_0_179,plain,
    op1(e12,e11) = e13,
    inference(sr,[status(thm)],[c_0_151,c_0_152]) ).

fof(c_0_180,plain,
    ( ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
      & h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
      & h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
      & h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
      & h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
      & h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
      & h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
      & h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
      & h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
      & h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
      & h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
      & h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
      & h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
      & h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
      & h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
      & h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
      & ( h9(e10) = e20
        | h9(e11) = e20
        | h9(e12) = e20
        | h9(e13) = e20 )
      & ( h9(e10) = e21
        | h9(e11) = e21
        | h9(e12) = e21
        | h9(e13) = e21 )
      & ( h9(e10) = e22
        | h9(e11) = e22
        | h9(e12) = e22
        | h9(e13) = e22 ) )
   => epred9_0 ),
    inference(split_equiv,[status(thm)],[c_0_118]) ).

cnf(c_0_181,negated_conjecture,
    ( h9(e13) != e23
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_182,plain,
    h9(e13) = h3(e13),
    inference(rw,[status(thm)],[c_0_154,c_0_43]) ).

cnf(c_0_183,plain,
    h5(e11) != h1(e10),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_78]),c_0_73]),c_0_156]),c_0_78]),c_0_78]),c_0_157]) ).

cnf(c_0_184,plain,
    h1(e10) = h1(e12),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_78]),c_0_78]),c_0_157]),c_0_61]),c_0_43]),c_0_51]),c_0_43]),c_0_51]),c_0_60]),c_0_75]),c_0_78]),c_0_43]),c_0_51]),c_0_43]),c_0_51]),c_0_60]),c_0_75]),c_0_73]),c_0_96])]),c_0_97]),c_0_98]) ).

cnf(c_0_185,plain,
    ( h10(e12) = h2(e11)
    | h7(e12) = h2(e11) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_78]),c_0_43]),c_0_51]),c_0_101]),c_0_144]),c_0_61]),c_0_78]),c_0_43]),c_0_51]),c_0_101]),c_0_144]),c_0_78]),c_0_78]),c_0_43]),c_0_51]),c_0_101]),c_0_144]),c_0_73]),c_0_78]),c_0_43]),c_0_51]),c_0_101]),c_0_144]),c_0_43]),c_0_51]),c_0_160]),c_0_161]) ).

cnf(c_0_186,plain,
    op2(h7(e12),h2(e11)) = op2(h4(e12),h12(e11)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_73]),c_0_61]),c_0_102]),c_0_129]),c_0_73]),c_0_163]),c_0_73]),c_0_61]),c_0_73]),c_0_123]) ).

cnf(c_0_187,plain,
    op2(h4(e12),h12(e11)) = h1(e12),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_144]),c_0_164]) ).

cnf(c_0_188,plain,
    op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23)),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_189,plain,
    op2(h1(e12),h4(e12)) = h1(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_61]),c_0_78]) ).

cnf(c_0_190,plain,
    op2(e21,e20) != op2(e21,e22),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_191,plain,
    op2(h4(e12),h1(e12)) = h4(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_78]),c_0_61]) ).

cnf(c_0_192,plain,
    op2(h4(e12),h1(e10)) = op2(h1(e10),h4(e12)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_78]),c_0_78]),c_0_157]),c_0_78]),c_0_78]),c_0_78]),c_0_78]),c_0_157]) ).

cnf(c_0_193,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_194,plain,
    h3(e11) != h1(e12),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_43]),c_0_51]),c_0_43]),c_0_51]),c_0_60]),c_0_75]),c_0_61]),c_0_43]),c_0_51]),c_0_169]) ).

cnf(c_0_195,plain,
    h4(e12) != h3(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_73]),c_0_43]),c_0_51]),c_0_100]),c_0_61]),c_0_43]),c_0_51]),c_0_169]) ).

cnf(c_0_196,plain,
    op2(e20,e22) != op2(e20,e23),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_197,plain,
    op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_198,plain,
    op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_199,plain,
    op2(h10(e12),h1(e12)) = h10(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_43]),c_0_51]),c_0_61]) ).

cnf(c_0_200,plain,
    op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21)),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_201,plain,
    op2(h10(e12),h4(e12)) = h11(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_43]),c_0_51]),c_0_78]) ).

cnf(c_0_202,plain,
    op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_203,plain,
    op2(h7(e12),h4(e12)) = h8(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_73]),c_0_78]) ).

cnf(c_0_204,plain,
    op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_205,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e12) = e11
    | op1(e11,e12) = e12
    | op1(e11,e12) = e13 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_206,plain,
    op1(e11,e12) != e10,
    inference(rw,[status(thm)],[c_0_174,c_0_105]) ).

cnf(c_0_207,plain,
    op1(e11,e12) != op1(e12,e10),
    inference(rw,[status(thm)],[c_0_175,c_0_85]) ).

cnf(c_0_208,plain,
    op1(e11,e12) != op1(e10,e11),
    inference(rw,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_209,plain,
    op1(e10,e11) = e11,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_179]),c_0_40]) ).

cnf(c_0_210,plain,
    op2(e23,e22) != op2(e23,e23),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_211,plain,
    op2(e23,e20) != op2(e23,e22),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

fof(c_0_212,plain,
    ( ( h9(e10) != e22
      | h9(e10) != e21
      | h9(e10) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e11) != e22
      | h9(e10) != e21
      | h9(e10) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e12) != e22
      | h9(e10) != e21
      | h9(e10) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e13) != e22
      | h9(e10) != e21
      | h9(e10) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e10) != e22
      | h9(e11) != e21
      | h9(e10) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e11) != e22
      | h9(e11) != e21
      | h9(e10) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e12) != e22
      | h9(e11) != e21
      | h9(e10) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e13) != e22
      | h9(e11) != e21
      | h9(e10) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e10) != e22
      | h9(e12) != e21
      | h9(e10) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e11) != e22
      | h9(e12) != e21
      | h9(e10) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e12) != e22
      | h9(e12) != e21
      | h9(e10) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e13) != e22
      | h9(e12) != e21
      | h9(e10) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e10) != e22
      | h9(e13) != e21
      | h9(e10) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e11) != e22
      | h9(e13) != e21
      | h9(e10) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e12) != e22
      | h9(e13) != e21
      | h9(e10) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e13) != e22
      | h9(e13) != e21
      | h9(e10) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e10) != e22
      | h9(e10) != e21
      | h9(e11) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e11) != e22
      | h9(e10) != e21
      | h9(e11) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e12) != e22
      | h9(e10) != e21
      | h9(e11) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e13) != e22
      | h9(e10) != e21
      | h9(e11) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e10) != e22
      | h9(e11) != e21
      | h9(e11) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e11) != e22
      | h9(e11) != e21
      | h9(e11) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e12) != e22
      | h9(e11) != e21
      | h9(e11) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e13) != e22
      | h9(e11) != e21
      | h9(e11) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e10) != e22
      | h9(e12) != e21
      | h9(e11) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e11) != e22
      | h9(e12) != e21
      | h9(e11) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e12) != e22
      | h9(e12) != e21
      | h9(e11) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e13) != e22
      | h9(e12) != e21
      | h9(e11) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e10) != e22
      | h9(e13) != e21
      | h9(e11) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e11) != e22
      | h9(e13) != e21
      | h9(e11) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e12) != e22
      | h9(e13) != e21
      | h9(e11) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e13) != e22
      | h9(e13) != e21
      | h9(e11) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e10) != e22
      | h9(e10) != e21
      | h9(e12) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e11) != e22
      | h9(e10) != e21
      | h9(e12) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e12) != e22
      | h9(e10) != e21
      | h9(e12) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e13) != e22
      | h9(e10) != e21
      | h9(e12) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e10) != e22
      | h9(e11) != e21
      | h9(e12) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e11) != e22
      | h9(e11) != e21
      | h9(e12) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e12) != e22
      | h9(e11) != e21
      | h9(e12) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e13) != e22
      | h9(e11) != e21
      | h9(e12) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e10) != e22
      | h9(e12) != e21
      | h9(e12) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e11) != e22
      | h9(e12) != e21
      | h9(e12) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e12) != e22
      | h9(e12) != e21
      | h9(e12) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e13) != e22
      | h9(e12) != e21
      | h9(e12) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e10) != e22
      | h9(e13) != e21
      | h9(e12) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e11) != e22
      | h9(e13) != e21
      | h9(e12) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e12) != e22
      | h9(e13) != e21
      | h9(e12) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e13) != e22
      | h9(e13) != e21
      | h9(e12) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e10) != e22
      | h9(e10) != e21
      | h9(e13) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e11) != e22
      | h9(e10) != e21
      | h9(e13) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e12) != e22
      | h9(e10) != e21
      | h9(e13) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e13) != e22
      | h9(e10) != e21
      | h9(e13) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e10) != e22
      | h9(e11) != e21
      | h9(e13) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e11) != e22
      | h9(e11) != e21
      | h9(e13) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e12) != e22
      | h9(e11) != e21
      | h9(e13) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e13) != e22
      | h9(e11) != e21
      | h9(e13) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e10) != e22
      | h9(e12) != e21
      | h9(e13) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e11) != e22
      | h9(e12) != e21
      | h9(e13) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e12) != e22
      | h9(e12) != e21
      | h9(e13) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e13) != e22
      | h9(e12) != e21
      | h9(e13) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e10) != e22
      | h9(e13) != e21
      | h9(e13) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e11) != e22
      | h9(e13) != e21
      | h9(e13) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e12) != e22
      | h9(e13) != e21
      | h9(e13) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 )
    & ( h9(e13) != e22
      | h9(e13) != e21
      | h9(e13) != e20
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | epred9_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_180])])]) ).

cnf(c_0_213,plain,
    h9(e10) = op2(e23,e23),
    inference(split_conjunct,[status(thm)],[ax34]) ).

cnf(c_0_214,plain,
    h9(e11) = op2(e22,e23),
    inference(split_conjunct,[status(thm)],[ax34]) ).

cnf(c_0_215,plain,
    h9(e12) = e22,
    inference(split_conjunct,[status(thm)],[ax34]) ).

cnf(c_0_216,plain,
    op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_217,plain,
    op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_218,negated_conjecture,
    ( h9(e13) != h10(e12)
    | ~ epred9_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_43]),c_0_51]) ).

cnf(c_0_219,plain,
    h9(e13) = h10(e12),
    inference(rw,[status(thm)],[c_0_182,c_0_51]) ).

cnf(c_0_220,plain,
    ( op2(e21,e22) = e20
    | op2(e21,e22) = e21
    | op2(e21,e22) = e22
    | op2(e21,e22) = e23 ),
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_221,plain,
    h5(e11) != h1(e12),
    inference(rw,[status(thm)],[c_0_183,c_0_184]) ).

cnf(c_0_222,plain,
    h7(e12) = h2(e11),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_185]),c_0_186]),c_0_187]),c_0_97]) ).

cnf(c_0_223,plain,
    op2(h2(e11),h10(e12)) = h1(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_61]),c_0_73]),c_0_123]),c_0_43]),c_0_51]),c_0_61]),c_0_73]),c_0_43]),c_0_51]),c_0_100]),c_0_189]) ).

cnf(c_0_224,plain,
    op2(e20,e22) != op2(e21,e22),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_225,plain,
    h5(e11) != h4(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_78]),c_0_73]),c_0_156]),c_0_78]),c_0_61]),c_0_191]) ).

cnf(c_0_226,plain,
    h4(e11) = h1(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_184]),c_0_191]),c_0_184]),c_0_189]) ).

cnf(c_0_227,plain,
    ( h10(e12) = h3(e11)
    | h7(e12) = h3(e11) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_61]),c_0_43]),c_0_51]),c_0_169]),c_0_61]),c_0_61]),c_0_43]),c_0_51]),c_0_169]),c_0_78]),c_0_61]),c_0_43]),c_0_51]),c_0_169]),c_0_73]),c_0_61]),c_0_43]),c_0_51]),c_0_169]),c_0_43]),c_0_51]),c_0_194]),c_0_195]) ).

cnf(c_0_228,plain,
    h3(e11) != h2(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_61]),c_0_43]),c_0_51]),c_0_169]),c_0_61]),c_0_73]),c_0_123]) ).

cnf(c_0_229,plain,
    op1(op1(e12,e11),e11) = op1(e12,e10),
    inference(rw,[status(thm)],[c_0_197,c_0_105]) ).

cnf(c_0_230,plain,
    op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21)),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_231,plain,
    h10(e11) = h3(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_43]),c_0_51]),c_0_43]),c_0_51]),c_0_60]),c_0_75]),c_0_43]),c_0_51]),c_0_169]),c_0_43]),c_0_51]),c_0_43]),c_0_51]),c_0_43]),c_0_51]),c_0_60]),c_0_75]),c_0_199]) ).

cnf(c_0_232,plain,
    op2(h3(e11),h4(e12)) = op2(h1(e12),h11(e11)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_61]),c_0_43]),c_0_51]),c_0_169]),c_0_78]),c_0_61]),c_0_43]),c_0_51]),c_0_78]),c_0_201]) ).

cnf(c_0_233,plain,
    op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_234,plain,
    h8(e11) = h3(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_73]),c_0_73]),c_0_95]),c_0_128]),c_0_43]),c_0_51]),c_0_169]),c_0_73]),c_0_73]),c_0_43]),c_0_51]),c_0_100]),c_0_203]) ).

cnf(c_0_235,plain,
    op1(op1(e11,e12),e12) = op1(e10,e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_66]),c_0_177]) ).

cnf(c_0_236,plain,
    ( op1(e11,e12) = e13
    | op1(e11,e12) = e12
    | op1(e11,e12) = e11 ),
    inference(sr,[status(thm)],[c_0_205,c_0_206]) ).

cnf(c_0_237,plain,
    op1(e11,e12) != e12,
    inference(rw,[status(thm)],[c_0_207,c_0_137]) ).

cnf(c_0_238,plain,
    op1(e11,e12) != e11,
    inference(rw,[status(thm)],[c_0_208,c_0_209]) ).

cnf(c_0_239,plain,
    ( op2(e23,e22) = e20
    | op2(e23,e22) = e21
    | op2(e23,e22) = e22
    | op2(e23,e22) = e23 ),
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_240,plain,
    h12(e11) != h1(e12),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_43]),c_0_51]),c_0_43]),c_0_51]),c_0_60]),c_0_75]),c_0_43]),c_0_51]),c_0_73]),c_0_146]) ).

cnf(c_0_241,plain,
    h12(e11) != h10(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_43]),c_0_51]),c_0_73]),c_0_146]),c_0_43]),c_0_51]),c_0_61]),c_0_199]) ).

cnf(c_0_242,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_243,plain,
    ( epred9_0
    | h9(e12) != e22
    | h9(e11) != e21
    | h9(e10) != e20
    | h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
    | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
    | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
    | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
    | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
    | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
    | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
    | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
    | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
    | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
    | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
    | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
    | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
    | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
    | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
    | h9(op1(e13,e13)) != op2(h9(e13),h9(e13)) ),
    inference(split_conjunct,[status(thm)],[c_0_212]) ).

cnf(c_0_244,plain,
    h9(e10) = h1(e12),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_43]),c_0_51]),c_0_43]),c_0_51]),c_0_60]),c_0_75]) ).

cnf(c_0_245,plain,
    h9(e11) = h4(e12),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_73]),c_0_43]),c_0_51]),c_0_100]) ).

cnf(c_0_246,plain,
    h9(e12) = h7(e12),
    inference(rw,[status(thm)],[c_0_215,c_0_73]) ).

cnf(c_0_247,plain,
    op1(e11,e13) = op1(e12,e10),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_216,c_0_40]),c_0_37]) ).

cnf(c_0_248,plain,
    op1(e13,e10) = op1(e12,e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_37]),c_0_133]),c_0_37]) ).

cnf(c_0_249,negated_conjecture,
    ~ epred9_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_218,c_0_219])]) ).

cnf(c_0_250,plain,
    ( h10(e12) = h5(e11)
    | h7(e12) = h5(e11)
    | h5(e11) = h4(e12) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_78]),c_0_73]),c_0_156]),c_0_61]),c_0_78]),c_0_73]),c_0_156]),c_0_78]),c_0_78]),c_0_73]),c_0_156]),c_0_73]),c_0_78]),c_0_73]),c_0_156]),c_0_43]),c_0_51]),c_0_221]) ).

cnf(c_0_251,plain,
    h4(e12) = h1(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_222]),c_0_223]) ).

cnf(c_0_252,plain,
    h5(e11) != h2(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_78]),c_0_73]),c_0_156]),c_0_61]),c_0_73]),c_0_123]) ).

cnf(c_0_253,plain,
    h5(e11) != h1(e11),
    inference(rw,[status(thm)],[c_0_225,c_0_226]) ).

cnf(c_0_254,plain,
    h10(e12) = h3(e11),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_222]),c_0_228]) ).

cnf(c_0_255,plain,
    op1(op1(e12,e11),e11) = e12,
    inference(rw,[status(thm)],[c_0_229,c_0_137]) ).

cnf(c_0_256,plain,
    op2(h10(e12),h1(e11)) = op2(h1(e12),h11(e11)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_43]),c_0_51]),c_0_61]),c_0_199]),c_0_231]),c_0_78]),c_0_232]),c_0_43]),c_0_51]),c_0_61]),c_0_78]),c_0_189]) ).

cnf(c_0_257,plain,
    op2(h1(e12),h11(e11)) = h6(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_73]),c_0_78]),c_0_203]),c_0_234]),c_0_78]),c_0_232]),c_0_73]),c_0_78]),c_0_78]),c_0_157]),c_0_184]),c_0_102]),c_0_129]) ).

cnf(c_0_258,plain,
    op1(op1(e11,e12),e12) = e11,
    inference(rw,[status(thm)],[c_0_235,c_0_209]) ).

cnf(c_0_259,plain,
    op1(e11,e12) = e13,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_236,c_0_237]),c_0_238]) ).

cnf(c_0_260,plain,
    ( h12(e11) = h10(e12)
    | h12(e11) = h7(e12)
    | h12(e11) = h4(e12) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_43]),c_0_51]),c_0_73]),c_0_146]),c_0_61]),c_0_43]),c_0_51]),c_0_73]),c_0_146]),c_0_78]),c_0_43]),c_0_51]),c_0_73]),c_0_146]),c_0_73]),c_0_43]),c_0_51]),c_0_73]),c_0_146]),c_0_43]),c_0_51]),c_0_240]) ).

cnf(c_0_261,plain,
    h12(e11) != h3(e11),
    inference(rw,[status(thm)],[c_0_241,c_0_231]) ).

cnf(c_0_262,plain,
    h12(e11) != h2(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_43]),c_0_51]),c_0_73]),c_0_146]),c_0_61]),c_0_73]),c_0_123]) ).

cnf(c_0_263,plain,
    ( h9(op1(e10,e11)) != h1(e11)
    | h9(op1(e12,e10)) != h2(e11)
    | h9(op1(e12,e11)) != h3(e11)
    | h9(op1(e11,e12)) != h5(e11)
    | h9(op1(e13,e11)) != h11(e11)
    | h9(op1(e13,e12)) != h12(e11) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_61]),c_0_244]),c_0_78]),c_0_245]),c_0_73]),c_0_246]),c_0_244]),c_0_244]),c_0_124]),c_0_142]),c_0_54]),c_0_244]),c_0_244]),c_0_245]),c_0_189]),c_0_244]),c_0_246]),c_0_123]),c_0_85]),c_0_244]),c_0_219]),c_0_169]),c_0_133]),c_0_245]),c_0_244]),c_0_191]),c_0_226]),c_0_177]),c_0_245]),c_0_245]),c_0_157]),c_0_184]),c_0_105]),c_0_244]),c_0_245]),c_0_246]),c_0_156]),c_0_245]),c_0_219]),c_0_101]),c_0_144]),c_0_247]),c_0_246]),c_0_244]),c_0_102]),c_0_129]),c_0_144]),c_0_246]),c_0_245]),c_0_203]),c_0_234]),c_0_246]),c_0_246]),c_0_95]),c_0_128]),c_0_66]),c_0_244]),c_0_246]),c_0_219]),c_0_100]),c_0_40]),c_0_245]),c_0_219]),c_0_244]),c_0_199]),c_0_231]),c_0_248]),c_0_219]),c_0_245]),c_0_201]),c_0_219]),c_0_246]),c_0_146]),c_0_219]),c_0_219]),c_0_60]),c_0_75]),c_0_37]),c_0_244])]),c_0_249]) ).

cnf(c_0_264,plain,
    h5(e11) = h3(e11),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_222]),c_0_251]),c_0_252]),c_0_253]),c_0_254]) ).

cnf(c_0_265,plain,
    op1(e13,e11) = e12,
    inference(rw,[status(thm)],[c_0_255,c_0_179]) ).

cnf(c_0_266,plain,
    h11(e11) = h2(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_201,c_0_251]),c_0_256]),c_0_257]),c_0_144]) ).

cnf(c_0_267,plain,
    op1(e13,e12) = e11,
    inference(rw,[status(thm)],[c_0_258,c_0_259]) ).

cnf(c_0_268,plain,
    h12(e11) = h1(e11),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_260,c_0_254]),c_0_222]),c_0_251]),c_0_261]),c_0_262]) ).

cnf(c_0_269,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_263,c_0_209]),c_0_245]),c_0_251]),c_0_137]),c_0_246]),c_0_222]),c_0_179]),c_0_219]),c_0_254]),c_0_259]),c_0_219]),c_0_254]),c_0_264]),c_0_265]),c_0_246]),c_0_222]),c_0_266]),c_0_267]),c_0_245]),c_0_251]),c_0_268])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ALG015+1 : TPTP v8.2.0. Released v2.7.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n011.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat May 18 23:03:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.21/0.53  Running first-order model finding
% 0.21/0.53  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.93/0.81  # Version: 3.1.0
% 0.93/0.81  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.93/0.81  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.93/0.81  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.93/0.81  # Starting new_bool_3 with 300s (1) cores
% 0.93/0.81  # Starting new_bool_1 with 300s (1) cores
% 0.93/0.81  # Starting sh5l with 300s (1) cores
% 0.93/0.81  # new_bool_1 with pid 13542 completed with status 0
% 0.93/0.81  # Result found by new_bool_1
% 0.93/0.81  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.93/0.81  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.93/0.81  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.93/0.81  # Starting new_bool_3 with 300s (1) cores
% 0.93/0.81  # Starting new_bool_1 with 300s (1) cores
% 0.93/0.81  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.93/0.81  # Search class: FGHSF-SMLM21-SFFFFFNN
% 0.93/0.81  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.93/0.81  # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 181s (1) cores
% 0.93/0.81  # C07_19_nc_SAT001_MinMin_p005000_rr with pid 13550 completed with status 0
% 0.93/0.81  # Result found by C07_19_nc_SAT001_MinMin_p005000_rr
% 0.93/0.81  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.93/0.81  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.93/0.81  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.93/0.81  # Starting new_bool_3 with 300s (1) cores
% 0.93/0.81  # Starting new_bool_1 with 300s (1) cores
% 0.93/0.81  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.93/0.81  # Search class: FGHSF-SMLM21-SFFFFFNN
% 0.93/0.81  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.93/0.81  # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 181s (1) cores
% 0.93/0.81  # Preprocessing time       : 0.044 s
% 0.93/0.81  # Presaturation interreduction done
% 0.93/0.81  
% 0.93/0.81  # Proof found!
% 0.93/0.81  # SZS status Theorem
% 0.93/0.81  # SZS output start CNFRefutation
% See solution above
% 0.93/0.81  # Parsed axioms                        : 38
% 0.93/0.81  # Removed by relevancy pruning/SinE    : 12
% 0.93/0.81  # Initial clauses                      : 1288
% 0.93/0.81  # Removed in clause preprocessing      : 0
% 0.93/0.81  # Initial clauses in saturation        : 1288
% 0.93/0.81  # Processed clauses                    : 1930
% 0.93/0.81  # ...of these trivial                  : 200
% 0.93/0.81  # ...subsumed                          : 886
% 0.93/0.81  # ...remaining for further processing  : 843
% 0.93/0.81  # Other redundant clauses eliminated   : 0
% 0.93/0.81  # Clauses deleted for lack of memory   : 0
% 0.93/0.81  # Backward-subsumed                    : 45
% 0.93/0.81  # Backward-rewritten                   : 416
% 0.93/0.81  # Generated clauses                    : 52
% 0.93/0.81  # ...of the previous two non-redundant : 425
% 0.93/0.81  # ...aggressively subsumed             : 0
% 0.93/0.81  # Contextual simplify-reflections      : 0
% 0.93/0.81  # Paramodulations                      : 51
% 0.93/0.81  # Factorizations                       : 1
% 0.93/0.81  # NegExts                              : 0
% 0.93/0.81  # Equation resolutions                 : 0
% 0.93/0.81  # Disequality decompositions           : 0
% 0.93/0.81  # Total rewrite steps                  : 60685
% 0.93/0.81  # ...of those cached                   : 60518
% 0.93/0.81  # Propositional unsat checks           : 0
% 0.93/0.81  #    Propositional check models        : 0
% 0.93/0.81  #    Propositional check unsatisfiable : 0
% 0.93/0.81  #    Propositional clauses             : 0
% 0.93/0.81  #    Propositional clauses after purity: 0
% 0.93/0.81  #    Propositional unsat core size     : 0
% 0.93/0.81  #    Propositional preprocessing time  : 0.000
% 0.93/0.81  #    Propositional encoding time       : 0.000
% 0.93/0.81  #    Propositional solver time         : 0.000
% 0.93/0.81  #    Success case prop preproc time    : 0.000
% 0.93/0.81  #    Success case prop encoding time   : 0.000
% 0.93/0.81  #    Success case prop solver time     : 0.000
% 0.93/0.81  # Current number of processed clauses  : 120
% 0.93/0.81  #    Positive orientable unit clauses  : 84
% 0.93/0.81  #    Positive unorientable unit clauses: 0
% 0.93/0.81  #    Negative unit clauses             : 36
% 0.93/0.81  #    Non-unit-clauses                  : 0
% 0.93/0.81  # Current number of unprocessed clauses: 7
% 0.93/0.81  # ...number of literals in the above   : 58
% 0.93/0.81  # Current number of archived formulas  : 0
% 0.93/0.81  # Current number of archived clauses   : 723
% 0.93/0.81  # Clause-clause subsumption calls (NU) : 649
% 0.93/0.81  # Rec. Clause-clause subsumption calls : 148
% 0.93/0.81  # Non-unit clause-clause subsumptions  : 33
% 0.93/0.81  # Unit Clause-clause subsumption calls : 1205
% 0.93/0.81  # Rewrite failures with RHS unbound    : 0
% 0.93/0.81  # BW rewrite match attempts            : 73
% 0.93/0.81  # BW rewrite match successes           : 73
% 0.93/0.81  # Condensation attempts                : 0
% 0.93/0.81  # Condensation successes               : 0
% 0.93/0.81  # Termbank termtop insertions          : 296609
% 0.93/0.81  # Search garbage collected termcells   : 7063
% 0.93/0.81  
% 0.93/0.81  # -------------------------------------------------
% 0.93/0.81  # User time                : 0.243 s
% 0.93/0.81  # System time              : 0.014 s
% 0.93/0.81  # Total time               : 0.258 s
% 0.93/0.81  # Maximum resident set size: 4980 pages
% 0.93/0.81  
% 0.93/0.81  # -------------------------------------------------
% 0.93/0.81  # User time                : 0.251 s
% 0.93/0.81  # System time              : 0.018 s
% 0.93/0.81  # Total time               : 0.269 s
% 0.93/0.81  # Maximum resident set size: 2256 pages
% 0.93/0.81  % E---3.1 exiting
%------------------------------------------------------------------------------