TSTP Solution File: ALG110+1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ALG110+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.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 18:09:04 EDT 2024
% Result : Theorem 0.36s 0.62s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 21
% Syntax : Number of formulae : 314 ( 177 unt; 0 def)
% Number of atoms : 3482 (3388 equ)
% Maximal formula atoms : 1280 ( 11 avg)
% Number of connectives : 5229 (2061 ~;2293 |; 870 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 84 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax6,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(ax17,axiom,
( h4(e12) = e23
& h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e13) = op2(e23,e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(ax13,axiom,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(ax16,axiom,
( h3(e12) = e22
& h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e13) = op2(e22,e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(ax14,axiom,
( h1(e12) = e20
& h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e13) = op2(e20,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(ax8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(ax11,axiom,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) != e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) != e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) != e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) != e20 ) )
& ( ( op2(e20,e21) = e20
& op2(e21,e20) != e21 )
| ( op2(e21,e21) = e21
& op2(e21,e21) != e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) != e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) != e21 ) )
& ( ( op2(e20,e22) = e20
& op2(e22,e20) != e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) != e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) != e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) != e22 ) )
& ( ( op2(e20,e23) = e20
& op2(e23,e20) != e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) != e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) != e23 )
| ( op2(e23,e23) = e23
& op2(e23,e23) != e23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(ax15,axiom,
( h2(e12) = e21
& h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e13) = op2(e21,e21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(ax5,axiom,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(ax3,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(ax12,axiom,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e13 = op1(e12,e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(ax4,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(ax7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(ax10,axiom,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) != e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) != e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) != e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) != e10 ) )
& ( ( op1(e10,e11) = e10
& op1(e11,e10) != e11 )
| ( op1(e11,e11) = e11
& op1(e11,e11) != e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) != e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) != e11 ) )
& ( ( op1(e10,e12) = e10
& op1(e12,e10) != e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) != e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) != e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) != e12 ) )
& ( ( op1(e10,e13) = e10
& op1(e13,e10) != e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) != e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) != e13 )
| ( op1(e13,e13) = e13
& op1(e13,e13) != e13 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
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/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(ax2,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
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 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(c_0_17,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)],[ax6]) ).
fof(c_0_18,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_17]) ).
cnf(c_0_19,plain,
h4(e13) = op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_20,plain,
h4(e12) = e23,
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_21,plain,
e23 = op2(e22,e22),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_22,plain,
h3(e12) = e22,
inference(split_conjunct,[status(thm)],[ax16]) ).
cnf(c_0_23,plain,
op2(e22,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
op2(h4(e12),h4(e12)) = h4(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20]),c_0_20]) ).
cnf(c_0_25,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_26,plain,
op2(h3(e12),h3(e12)) = h4(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_22]),c_0_20]) ).
cnf(c_0_27,plain,
h1(e12) = e20,
inference(split_conjunct,[status(thm)],[ax14]) ).
fof(c_0_28,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(fof_simplification,[status(thm)],[ax8]) ).
fof(c_0_29,plain,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) != e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) != e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) != e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) != e20 ) )
& ( ( op2(e20,e21) = e20
& op2(e21,e20) != e21 )
| ( op2(e21,e21) = e21
& op2(e21,e21) != e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) != e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) != e21 ) )
& ( ( op2(e20,e22) = e20
& op2(e22,e20) != e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) != e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) != e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) != e22 ) )
& ( ( op2(e20,e23) = e20
& op2(e23,e20) != e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) != e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) != e23 )
| ( op2(e23,e23) = e23
& op2(e23,e23) != e23 ) ) ),
inference(fof_simplification,[status(thm)],[ax11]) ).
cnf(c_0_30,plain,
op2(h3(e12),h4(e12)) != h4(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_20]),c_0_20]),c_0_24]),c_0_22]),c_0_20]) ).
cnf(c_0_31,plain,
h4(e13) = 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)],[c_0_25,c_0_22]),c_0_22]),c_0_26]),c_0_22]),c_0_22]),c_0_26]),c_0_24]),c_0_27]) ).
cnf(c_0_32,plain,
op2(e22,e22) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_33,plain,
op2(e20,e23) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_34,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_35,plain,
h2(e12) = e21,
inference(split_conjunct,[status(thm)],[ax15]) ).
fof(c_0_36,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(fof_nnf,[status(thm)],[c_0_28]) ).
cnf(c_0_37,plain,
op2(e23,e22) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_38,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)],[ax5]) ).
cnf(c_0_39,plain,
h1(e13) = op2(e20,e20),
inference(split_conjunct,[status(thm)],[ax14]) ).
fof(c_0_40,plain,
( ( op2(e23,e20) = e23
| op2(e22,e20) = e22
| op2(e21,e20) = e21
| op2(e20,e20) = e20 )
& ( op2(e20,e23) != e20
| op2(e22,e20) = e22
| op2(e21,e20) = e21
| op2(e20,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e20,e22) != e20
| op2(e21,e20) = e21
| op2(e20,e20) = e20 )
& ( op2(e20,e23) != e20
| op2(e20,e22) != e20
| op2(e21,e20) = e21
| op2(e20,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e22
| op2(e20,e21) != e20
| op2(e20,e20) = e20 )
& ( op2(e20,e23) != e20
| op2(e22,e20) = e22
| op2(e20,e21) != e20
| op2(e20,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e20,e22) != e20
| op2(e20,e21) != e20
| op2(e20,e20) = e20 )
& ( op2(e20,e23) != e20
| op2(e20,e22) != e20
| op2(e20,e21) != e20
| op2(e20,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e22
| op2(e21,e20) = e21
| op2(e20,e20) != e20 )
& ( op2(e20,e23) != e20
| op2(e22,e20) = e22
| op2(e21,e20) = e21
| op2(e20,e20) != e20 )
& ( op2(e23,e20) = e23
| op2(e20,e22) != e20
| op2(e21,e20) = e21
| op2(e20,e20) != e20 )
& ( op2(e20,e23) != e20
| op2(e20,e22) != e20
| op2(e21,e20) = e21
| op2(e20,e20) != e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e22
| op2(e20,e21) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e23) != e20
| op2(e22,e20) = e22
| op2(e20,e21) != e20
| op2(e20,e20) != e20 )
& ( op2(e23,e20) = e23
| op2(e20,e22) != e20
| op2(e20,e21) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e23) != e20
| op2(e20,e22) != e20
| op2(e20,e21) != e20
| op2(e20,e20) != e20 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e22
| op2(e21,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e21,e23) != e21
| op2(e22,e21) = e22
| op2(e21,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e23,e21) = e23
| op2(e21,e22) != e21
| op2(e21,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e21,e23) != e21
| op2(e21,e22) != e21
| op2(e21,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e22
| op2(e21,e21) != e21
| op2(e20,e21) = e20 )
& ( op2(e21,e23) != e21
| op2(e22,e21) = e22
| op2(e21,e21) != e21
| op2(e20,e21) = e20 )
& ( op2(e23,e21) = e23
| op2(e21,e22) != e21
| op2(e21,e21) != e21
| op2(e20,e21) = e20 )
& ( op2(e21,e23) != e21
| op2(e21,e22) != e21
| op2(e21,e21) != e21
| op2(e20,e21) = e20 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e20) != e21 )
& ( op2(e21,e23) != e21
| op2(e22,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e20) != e21 )
& ( op2(e23,e21) = e23
| op2(e21,e22) != e21
| op2(e21,e21) = e21
| op2(e21,e20) != e21 )
& ( op2(e21,e23) != e21
| op2(e21,e22) != e21
| op2(e21,e21) = e21
| op2(e21,e20) != e21 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e22
| op2(e21,e21) != e21
| op2(e21,e20) != e21 )
& ( op2(e21,e23) != e21
| op2(e22,e21) = e22
| op2(e21,e21) != e21
| op2(e21,e20) != e21 )
& ( op2(e23,e21) = e23
| op2(e21,e22) != e21
| op2(e21,e21) != e21
| op2(e21,e20) != e21 )
& ( op2(e21,e23) != e21
| op2(e21,e22) != e21
| op2(e21,e21) != e21
| op2(e21,e20) != e21 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e22
| op2(e21,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e22,e23) != e22
| op2(e22,e22) = e22
| op2(e21,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) != e22
| op2(e21,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e22
| op2(e21,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e21) != e22
| op2(e20,e22) = e20 )
& ( op2(e22,e23) != e22
| op2(e22,e22) = e22
| op2(e22,e21) != e22
| op2(e20,e22) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) != e22
| op2(e22,e21) != e22
| op2(e20,e22) = e20 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e22
| op2(e22,e21) != e22
| op2(e20,e22) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e22
| op2(e21,e22) = e21
| op2(e22,e20) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) = e22
| op2(e21,e22) = e21
| op2(e22,e20) != e22 )
& ( op2(e23,e22) = e23
| op2(e22,e22) != e22
| op2(e21,e22) = e21
| op2(e22,e20) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e22
| op2(e21,e22) = e21
| op2(e22,e20) != e22 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e21) != e22
| op2(e22,e20) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) = e22
| op2(e22,e21) != e22
| op2(e22,e20) != e22 )
& ( op2(e23,e22) = e23
| op2(e22,e22) != e22
| op2(e22,e21) != e22
| op2(e22,e20) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e22
| op2(e22,e21) != e22
| op2(e22,e20) != e22 )
& ( op2(e23,e23) = e23
| op2(e22,e23) = e22
| op2(e21,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e23,e23) != e23
| op2(e22,e23) = e22
| op2(e21,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e23
| op2(e23,e22) != e23
| op2(e21,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e23,e23) != e23
| op2(e23,e22) != e23
| op2(e21,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e23
| op2(e22,e23) = e22
| op2(e23,e21) != e23
| op2(e20,e23) = e20 )
& ( op2(e23,e23) != e23
| op2(e22,e23) = e22
| op2(e23,e21) != e23
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e23
| op2(e23,e22) != e23
| op2(e23,e21) != e23
| op2(e20,e23) = e20 )
& ( op2(e23,e23) != e23
| op2(e23,e22) != e23
| op2(e23,e21) != e23
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e23
| op2(e22,e23) = e22
| op2(e21,e23) = e21
| op2(e23,e20) != e23 )
& ( op2(e23,e23) != e23
| op2(e22,e23) = e22
| op2(e21,e23) = e21
| op2(e23,e20) != e23 )
& ( op2(e23,e23) = e23
| op2(e23,e22) != e23
| op2(e21,e23) = e21
| op2(e23,e20) != e23 )
& ( op2(e23,e23) != e23
| op2(e23,e22) != e23
| op2(e21,e23) = e21
| op2(e23,e20) != e23 )
& ( op2(e23,e23) = e23
| op2(e22,e23) = e22
| op2(e23,e21) != e23
| op2(e23,e20) != e23 )
& ( op2(e23,e23) != e23
| op2(e22,e23) = e22
| op2(e23,e21) != e23
| op2(e23,e20) != e23 )
& ( op2(e23,e23) = e23
| op2(e23,e22) != e23
| op2(e23,e21) != e23
| op2(e23,e20) != e23 )
& ( op2(e23,e23) != e23
| op2(e23,e22) != e23
| op2(e23,e21) != e23
| op2(e23,e20) != e23 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])]) ).
cnf(c_0_41,plain,
h2(e13) = op2(e21,e21),
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_42,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_43,plain,
op2(h3(e12),h4(e12)) != h1(e12),
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_44,plain,
op2(h3(e12),h4(e12)) != h4(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_22]),c_0_20]),c_0_22]),c_0_22]),c_0_26]) ).
cnf(c_0_45,plain,
op2(h3(e12),h4(e12)) != op2(h1(e12),h4(e12)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_27]),c_0_20]),c_0_22]),c_0_20]) ).
cnf(c_0_46,plain,
op2(h1(e12),h4(e12)) = h2(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_22]),c_0_22]),c_0_26]),c_0_22]),c_0_22]),c_0_26]),c_0_24]),c_0_31]),c_0_22]),c_0_22]),c_0_26]),c_0_35]) ).
cnf(c_0_47,plain,
e22 != e23,
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_48,plain,
op2(e22,e22) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_49,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_50,plain,
op2(h4(e12),h3(e12)) != h4(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_20]),c_0_20]),c_0_24]),c_0_20]),c_0_22]) ).
cnf(c_0_51,plain,
e20 != e21,
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_52,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_38]) ).
cnf(c_0_53,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_54,plain,
e13 = op1(e12,e12),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_55,plain,
op2(e20,e20) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_56,plain,
op2(h1(e12),h1(e12)) = h1(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_27]),c_0_27]) ).
cnf(c_0_57,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e22
| op2(e20,e21) = e20
| op2(e21,e21) != e21 ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_58,plain,
op2(h2(e12),h2(e12)) = h2(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_35]),c_0_35]) ).
cnf(c_0_59,plain,
op2(e22,e21) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_60,plain,
( op2(h3(e12),h4(e12)) = h3(e12)
| op2(h3(e12),h4(e12)) = h2(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_42,c_0_22]),c_0_20]),c_0_27]),c_0_22]),c_0_20]),c_0_35]),c_0_22]),c_0_20]),c_0_22]),c_0_22]),c_0_20]),c_0_20]),c_0_43]),c_0_44]) ).
cnf(c_0_61,plain,
op2(h3(e12),h4(e12)) != h2(e12),
inference(rw,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_62,plain,
( op2(e23,e22) = e23
| op2(e22,e22) = e22
| op2(e21,e22) = e21
| op2(e20,e22) = e20 ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_63,plain,
h4(e12) != h3(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_20]),c_0_22]) ).
cnf(c_0_64,plain,
op2(h4(e12),h3(e12)) != h4(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_20]),c_0_22]),c_0_22]),c_0_22]),c_0_26]) ).
cnf(c_0_65,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_66,plain,
h4(e12) != h1(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_20]),c_0_27]) ).
cnf(c_0_67,plain,
op2(h4(e12),h3(e12)) != h1(e12),
inference(rw,[status(thm)],[c_0_50,c_0_31]) ).
cnf(c_0_68,plain,
e21 != h1(e12),
inference(rw,[status(thm)],[c_0_51,c_0_27]) ).
cnf(c_0_69,plain,
op1(e12,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_70,plain,
op1(e13,e13) = e10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54]),c_0_54]) ).
cnf(c_0_71,plain,
op1(e12,e12) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_72,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(split_conjunct,[status(thm)],[ax12]) ).
fof(c_0_73,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(fof_simplification,[status(thm)],[ax7]) ).
fof(c_0_74,plain,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) != e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) != e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) != e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) != e10 ) )
& ( ( op1(e10,e11) = e10
& op1(e11,e10) != e11 )
| ( op1(e11,e11) = e11
& op1(e11,e11) != e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) != e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) != e11 ) )
& ( ( op1(e10,e12) = e10
& op1(e12,e10) != e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) != e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) != e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) != e12 ) )
& ( ( op1(e10,e13) = e10
& op1(e13,e10) != e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) != e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) != e13 )
| ( op1(e13,e13) = e13
& op1(e13,e13) != e13 ) ) ),
inference(fof_simplification,[status(thm)],[ax10]) ).
cnf(c_0_75,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_76,plain,
op2(h1(e12),h4(e12)) != h1(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_27]),c_0_20]),c_0_27]),c_0_27]),c_0_56]) ).
cnf(c_0_77,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_78,plain,
e21 != e23,
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_79,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e22
| op2(e21,e21) = e21
| op2(e20,e21) = e20 ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_80,plain,
( op2(h4(e12),h2(e12)) = h4(e12)
| op2(h3(e12),h2(e12)) = h3(e12)
| op2(h1(e12),h2(e12)) = h1(e12)
| h2(e13) != h2(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_27]),c_0_35]),c_0_27]),c_0_22]),c_0_35]),c_0_22]),c_0_20]),c_0_35]),c_0_20]),c_0_35]),c_0_35]),c_0_58]),c_0_35]) ).
cnf(c_0_81,plain,
op2(h3(e12),h4(e12)) != op2(h3(e12),h2(e12)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_22]),c_0_20]),c_0_22]),c_0_35]) ).
cnf(c_0_82,plain,
op2(h3(e12),h4(e12)) = h3(e12),
inference(sr,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_83,plain,
op2(e20,e21) != op2(e20,e22),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_84,plain,
( op2(h2(e12),h3(e12)) = h2(e12)
| op2(h1(e12),h3(e12)) = h1(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_62,c_0_27]),c_0_22]),c_0_27]),c_0_35]),c_0_22]),c_0_35]),c_0_22]),c_0_22]),c_0_26]),c_0_22]),c_0_20]),c_0_22]),c_0_20]),c_0_63]),c_0_64]) ).
cnf(c_0_85,plain,
( op2(h2(e12),h3(e12)) = h1(e12)
| op2(h1(e12),h3(e12)) = h1(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_65,c_0_27]),c_0_22]),c_0_27]),c_0_35]),c_0_22]),c_0_27]),c_0_22]),c_0_22]),c_0_26]),c_0_27]),c_0_20]),c_0_22]),c_0_27]),c_0_66]),c_0_67]) ).
cnf(c_0_86,plain,
h2(e12) != h1(e12),
inference(rw,[status(thm)],[c_0_68,c_0_35]) ).
cnf(c_0_87,plain,
op1(e10,e12) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_88,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_89,plain,
op1(e12,e13) != e10,
inference(rw,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_90,plain,
op1(e12,e13) != e13,
inference(rw,[status(thm)],[c_0_71,c_0_54]) ).
cnf(c_0_91,plain,
op1(e10,e13) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_92,plain,
op1(e10,e13) = e11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_54]),c_0_54]),c_0_70]),c_0_54]) ).
fof(c_0_93,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(fof_nnf,[status(thm)],[c_0_73]) ).
cnf(c_0_94,plain,
op1(e13,e12) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_95,plain,
( ( op1(e13,e10) = e13
| op1(e12,e10) = e12
| op1(e11,e10) = e11
| op1(e10,e10) = e10 )
& ( op1(e10,e13) != e10
| op1(e12,e10) = e12
| op1(e11,e10) = e11
| op1(e10,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e10,e12) != e10
| op1(e11,e10) = e11
| op1(e10,e10) = e10 )
& ( op1(e10,e13) != e10
| op1(e10,e12) != e10
| op1(e11,e10) = e11
| op1(e10,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e12
| op1(e10,e11) != e10
| op1(e10,e10) = e10 )
& ( op1(e10,e13) != e10
| op1(e12,e10) = e12
| op1(e10,e11) != e10
| op1(e10,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e10,e12) != e10
| op1(e10,e11) != e10
| op1(e10,e10) = e10 )
& ( op1(e10,e13) != e10
| op1(e10,e12) != e10
| op1(e10,e11) != e10
| op1(e10,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e12
| op1(e11,e10) = e11
| op1(e10,e10) != e10 )
& ( op1(e10,e13) != e10
| op1(e12,e10) = e12
| op1(e11,e10) = e11
| op1(e10,e10) != e10 )
& ( op1(e13,e10) = e13
| op1(e10,e12) != e10
| op1(e11,e10) = e11
| op1(e10,e10) != e10 )
& ( op1(e10,e13) != e10
| op1(e10,e12) != e10
| op1(e11,e10) = e11
| op1(e10,e10) != e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e12
| op1(e10,e11) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e13) != e10
| op1(e12,e10) = e12
| op1(e10,e11) != e10
| op1(e10,e10) != e10 )
& ( op1(e13,e10) = e13
| op1(e10,e12) != e10
| op1(e10,e11) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e13) != e10
| op1(e10,e12) != e10
| op1(e10,e11) != e10
| op1(e10,e10) != e10 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e12
| op1(e11,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e11,e13) != e11
| op1(e12,e11) = e12
| op1(e11,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e13,e11) = e13
| op1(e11,e12) != e11
| op1(e11,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e11,e13) != e11
| op1(e11,e12) != e11
| op1(e11,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e12
| op1(e11,e11) != e11
| op1(e10,e11) = e10 )
& ( op1(e11,e13) != e11
| op1(e12,e11) = e12
| op1(e11,e11) != e11
| op1(e10,e11) = e10 )
& ( op1(e13,e11) = e13
| op1(e11,e12) != e11
| op1(e11,e11) != e11
| op1(e10,e11) = e10 )
& ( op1(e11,e13) != e11
| op1(e11,e12) != e11
| op1(e11,e11) != e11
| op1(e10,e11) = e10 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e10) != e11 )
& ( op1(e11,e13) != e11
| op1(e12,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e10) != e11 )
& ( op1(e13,e11) = e13
| op1(e11,e12) != e11
| op1(e11,e11) = e11
| op1(e11,e10) != e11 )
& ( op1(e11,e13) != e11
| op1(e11,e12) != e11
| op1(e11,e11) = e11
| op1(e11,e10) != e11 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e12
| op1(e11,e11) != e11
| op1(e11,e10) != e11 )
& ( op1(e11,e13) != e11
| op1(e12,e11) = e12
| op1(e11,e11) != e11
| op1(e11,e10) != e11 )
& ( op1(e13,e11) = e13
| op1(e11,e12) != e11
| op1(e11,e11) != e11
| op1(e11,e10) != e11 )
& ( op1(e11,e13) != e11
| op1(e11,e12) != e11
| op1(e11,e11) != e11
| op1(e11,e10) != e11 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e12
| op1(e11,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e12,e13) != e12
| op1(e12,e12) = e12
| op1(e11,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) != e12
| op1(e11,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e12
| op1(e11,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e11) != e12
| op1(e10,e12) = e10 )
& ( op1(e12,e13) != e12
| op1(e12,e12) = e12
| op1(e12,e11) != e12
| op1(e10,e12) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) != e12
| op1(e12,e11) != e12
| op1(e10,e12) = e10 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e12
| op1(e12,e11) != e12
| op1(e10,e12) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e12
| op1(e11,e12) = e11
| op1(e12,e10) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) = e12
| op1(e11,e12) = e11
| op1(e12,e10) != e12 )
& ( op1(e13,e12) = e13
| op1(e12,e12) != e12
| op1(e11,e12) = e11
| op1(e12,e10) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e12
| op1(e11,e12) = e11
| op1(e12,e10) != e12 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e11) != e12
| op1(e12,e10) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) = e12
| op1(e12,e11) != e12
| op1(e12,e10) != e12 )
& ( op1(e13,e12) = e13
| op1(e12,e12) != e12
| op1(e12,e11) != e12
| op1(e12,e10) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e12
| op1(e12,e11) != e12
| op1(e12,e10) != e12 )
& ( op1(e13,e13) = e13
| op1(e12,e13) = e12
| op1(e11,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e13,e13) != e13
| op1(e12,e13) = e12
| op1(e11,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e13
| op1(e13,e12) != e13
| op1(e11,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e13,e13) != e13
| op1(e13,e12) != e13
| op1(e11,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e13
| op1(e12,e13) = e12
| op1(e13,e11) != e13
| op1(e10,e13) = e10 )
& ( op1(e13,e13) != e13
| op1(e12,e13) = e12
| op1(e13,e11) != e13
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e13
| op1(e13,e12) != e13
| op1(e13,e11) != e13
| op1(e10,e13) = e10 )
& ( op1(e13,e13) != e13
| op1(e13,e12) != e13
| op1(e13,e11) != e13
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e13
| op1(e12,e13) = e12
| op1(e11,e13) = e11
| op1(e13,e10) != e13 )
& ( op1(e13,e13) != e13
| op1(e12,e13) = e12
| op1(e11,e13) = e11
| op1(e13,e10) != e13 )
& ( op1(e13,e13) = e13
| op1(e13,e12) != e13
| op1(e11,e13) = e11
| op1(e13,e10) != e13 )
& ( op1(e13,e13) != e13
| op1(e13,e12) != e13
| op1(e11,e13) = e11
| op1(e13,e10) != e13 )
& ( op1(e13,e13) = e13
| op1(e12,e13) = e12
| op1(e13,e11) != e13
| op1(e13,e10) != e13 )
& ( op1(e13,e13) != e13
| op1(e12,e13) = e12
| op1(e13,e11) != e13
| op1(e13,e10) != e13 )
& ( op1(e13,e13) = e13
| op1(e13,e12) != e13
| op1(e13,e11) != e13
| op1(e13,e10) != e13 )
& ( op1(e13,e13) != e13
| op1(e13,e12) != e13
| op1(e13,e11) != e13
| op1(e13,e10) != e13 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])]) ).
cnf(c_0_96,plain,
op1(e12,e12) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_97,plain,
op2(e23,e21) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_98,plain,
h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_99,plain,
( h1(e13) = h4(e12)
| h1(e13) = h3(e12)
| h1(e13) = h2(e12)
| h1(e13) = 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)],[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_75,c_0_27]),c_0_27]),c_0_56]),c_0_27]),c_0_27]),c_0_27]),c_0_56]),c_0_35]),c_0_27]),c_0_27]),c_0_56]),c_0_22]),c_0_27]),c_0_27]),c_0_56]),c_0_20]) ).
cnf(c_0_100,plain,
h1(e13) != h2(e12),
inference(rw,[status(thm)],[c_0_76,c_0_46]) ).
cnf(c_0_101,plain,
op2(e20,e20) != op2(e20,e22),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_102,plain,
op2(e23,e20) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_103,plain,
op2(e22,e20) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_104,plain,
op2(e21,e20) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_105,plain,
( op2(h2(e12),h4(e12)) = h4(e12)
| op2(h1(e12),h4(e12)) = h4(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_77,c_0_27]),c_0_20]),c_0_20]),c_0_35]),c_0_20]),c_0_20]),c_0_22]),c_0_20]),c_0_20]),c_0_20]),c_0_20]),c_0_24]),c_0_31]),c_0_20]),c_0_44]),c_0_66]) ).
cnf(c_0_106,plain,
h4(e12) != h2(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_20]),c_0_35]) ).
cnf(c_0_107,plain,
( op2(h4(e12),h2(e12)) = h4(e12)
| op2(h3(e12),h2(e12)) = h3(e12)
| op2(h1(e12),h2(e12)) = h1(e12) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_79,c_0_27]),c_0_35]),c_0_27]),c_0_35]),c_0_35]),c_0_58]),c_0_35]),c_0_22]),c_0_35]),c_0_22]),c_0_20]),c_0_35]),c_0_20]),c_0_80]) ).
cnf(c_0_108,plain,
op2(h3(e12),h2(e12)) != h3(e12),
inference(rw,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_109,plain,
op2(h1(e12),h3(e12)) != op2(h1(e12),h2(e12)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_27]),c_0_35]),c_0_27]),c_0_22]) ).
cnf(c_0_110,plain,
op2(h1(e12),h3(e12)) = h1(e12),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).
cnf(c_0_111,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e22
| op2(e21,e20) = e21
| op2(e20,e20) != e20 ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_112,plain,
op2(e22,e20) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_113,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_114,plain,
op1(e10,e12) != e13,
inference(rw,[status(thm)],[c_0_87,c_0_54]) ).
cnf(c_0_115,plain,
( op1(e12,e13) = e12
| op1(e12,e13) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).
cnf(c_0_116,plain,
op1(e12,e13) != e11,
inference(rw,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_117,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_118,plain,
e10 != e13,
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_119,plain,
op1(e13,e12) != e10,
inference(rw,[status(thm)],[c_0_94,c_0_70]) ).
cnf(c_0_120,plain,
( op1(e13,e12) = e13
| op1(e12,e12) = e12
| op1(e11,e12) = e11
| op1(e10,e12) = e10 ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_121,plain,
e12 != e13,
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_122,plain,
op1(e13,e12) != e13,
inference(rw,[status(thm)],[c_0_96,c_0_54]) ).
cnf(c_0_123,plain,
op2(h4(e12),h2(e12)) != h4(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_20]),c_0_20]),c_0_24]),c_0_20]),c_0_35]) ).
cnf(c_0_124,plain,
op2(h1(e13),h1(e12)) = 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)],[inference(rw,[status(thm)],[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_98,c_0_20]),c_0_20]),c_0_24]),c_0_31]),c_0_20]),c_0_20]),c_0_24]),c_0_31]),c_0_56]),c_0_20]),c_0_20]),c_0_24]),c_0_31]) ).
cnf(c_0_125,plain,
( h1(e13) = h1(e12)
| h1(e13) = h3(e12)
| h1(e13) = h4(e12) ),
inference(sr,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_126,plain,
op2(h1(e12),h3(e12)) != h1(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_27]),c_0_27]),c_0_56]),c_0_27]),c_0_22]) ).
cnf(c_0_127,plain,
op2(h4(e12),h1(e12)) != h4(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_20]),c_0_20]),c_0_24]),c_0_20]),c_0_27]) ).
cnf(c_0_128,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_129,plain,
op2(h3(e12),h1(e12)) != h4(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_22]),c_0_27]),c_0_22]),c_0_22]),c_0_26]) ).
cnf(c_0_130,plain,
op2(h2(e12),h4(e12)) != op2(h2(e12),h1(e12)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_35]),c_0_20]),c_0_35]),c_0_27]) ).
cnf(c_0_131,plain,
op2(h2(e12),h4(e12)) = h4(e12),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_46]),c_0_106]) ).
cnf(c_0_132,plain,
op2(e23,e20) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_133,plain,
( op2(h1(e12),h2(e12)) = h1(e12)
| op2(h4(e12),h2(e12)) = h4(e12) ),
inference(sr,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_134,plain,
op2(h1(e12),h2(e12)) != h1(e12),
inference(rw,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_135,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e22
| op2(e21,e20) = e21
| op2(e20,e20) = e20 ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_136,plain,
( op2(h4(e12),h1(e12)) = h4(e12)
| op2(h3(e12),h1(e12)) = h3(e12)
| op2(h2(e12),h1(e12)) = h2(e12)
| h1(e13) != 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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_35]),c_0_27]),c_0_35]),c_0_22]),c_0_27]),c_0_22]),c_0_20]),c_0_27]),c_0_20]),c_0_27]),c_0_27]),c_0_56]),c_0_27]) ).
cnf(c_0_137,plain,
op2(h3(e12),h4(e12)) != op2(h3(e12),h1(e12)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_22]),c_0_20]),c_0_22]),c_0_27]) ).
cnf(c_0_138,plain,
( op1(e10,e13) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference(sr,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_139,plain,
e11 != e13,
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_140,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e12
| op1(e10,e11) = e10
| op1(e11,e11) != e11 ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_141,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e12
| op1(e11,e11) = e11
| op1(e10,e11) = e10 ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_142,plain,
op1(e12,e11) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_143,plain,
op1(e12,e13) = e12,
inference(sr,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_144,plain,
( op1(e11,e12) = e10
| op1(e10,e12) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_54]),c_0_118]),c_0_119]) ).
cnf(c_0_145,plain,
( op1(e11,e12) = e11
| op1(e10,e12) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_54]),c_0_121]),c_0_122]) ).
cnf(c_0_146,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[c_0_93]) ).
fof(c_0_147,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_148,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_149,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_150,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) ).
cnf(c_0_151,plain,
( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_152,plain,
op2(h4(e12),h2(e12)) != h1(e12),
inference(rw,[status(thm)],[c_0_123,c_0_31]) ).
cnf(c_0_153,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_154,plain,
op2(e20,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_155,plain,
( op2(h4(e12),h1(e12)) = h4(e11)
| h1(e13) = h1(e12)
| h1(e13) = h3(e12) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_156,plain,
h1(e13) != h1(e12),
inference(rw,[status(thm)],[c_0_126,c_0_110]) ).
cnf(c_0_157,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_158,plain,
op2(h4(e12),h1(e12)) != h1(e12),
inference(rw,[status(thm)],[c_0_127,c_0_31]) ).
cnf(c_0_159,plain,
op2(e21,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_160,plain,
( op2(h4(e12),h1(e12)) = h4(e12)
| op2(h2(e12),h1(e12)) = h4(e12)
| h1(e13) = 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)],[c_0_128,c_0_27]),c_0_27]),c_0_56]),c_0_20]),c_0_35]),c_0_27]),c_0_20]),c_0_22]),c_0_27]),c_0_20]),c_0_20]),c_0_27]),c_0_20]),c_0_129]) ).
cnf(c_0_161,plain,
op2(h2(e12),h1(e12)) != h4(e12),
inference(rw,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_162,plain,
op2(h4(e12),h2(e12)) != op2(h4(e12),h1(e12)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_20]),c_0_35]),c_0_20]),c_0_27]) ).
cnf(c_0_163,plain,
op2(h4(e12),h2(e12)) = h4(e12),
inference(sr,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_164,plain,
( op2(h4(e12),h1(e12)) = h4(e12)
| op2(h3(e12),h1(e12)) = h3(e12)
| op2(h2(e12),h1(e12)) = h2(e12) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_135,c_0_27]),c_0_27]),c_0_56]),c_0_27]),c_0_35]),c_0_27]),c_0_35]),c_0_22]),c_0_27]),c_0_22]),c_0_20]),c_0_27]),c_0_20]),c_0_136]) ).
cnf(c_0_165,plain,
op2(h3(e12),h1(e12)) != h3(e12),
inference(rw,[status(thm)],[c_0_137,c_0_82]) ).
cnf(c_0_166,plain,
op1(e10,e11) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_167,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_92]),c_0_139]) ).
cnf(c_0_168,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e12
| op1(e10,e11) = e10 ),
inference(csr,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_169,plain,
op1(e12,e11) != e12,
inference(rw,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_170,plain,
op1(e10,e11) != op1(e10,e12),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_171,plain,
op1(e10,e12) = e10,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146]) ).
fof(c_0_172,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 ) ) ),
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_147]),c_0_148]),c_0_149]),c_0_150]) ).
cnf(c_0_173,plain,
( op2(h3(e12),h2(e12)) = h1(e12)
| op2(h1(e12),h2(e12)) = h1(e12)
| h2(e13) = h1(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)],[c_0_151,c_0_27]),c_0_35]),c_0_27]),c_0_35]),c_0_35]),c_0_58]),c_0_27]),c_0_22]),c_0_35]),c_0_27]),c_0_20]),c_0_35]),c_0_27]),c_0_152]) ).
cnf(c_0_174,plain,
( op2(h3(e12),h4(e12)) = h2(e12)
| op2(h3(e12),h2(e12)) = h2(e12)
| op2(h3(e12),h1(e12)) = h2(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)],[c_0_153,c_0_22]),c_0_27]),c_0_35]),c_0_22]),c_0_35]),c_0_35]),c_0_22]),c_0_22]),c_0_26]),c_0_35]),c_0_22]),c_0_20]),c_0_35]),c_0_106]) ).
cnf(c_0_175,plain,
e20 != e22,
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_176,plain,
op2(h4(e12),h1(e12)) != h1(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_20]),c_0_27]),c_0_27]),c_0_27]),c_0_56]) ).
cnf(c_0_177,plain,
( op2(h4(e12),h1(e12)) = h4(e11)
| h1(e13) = h3(e12) ),
inference(sr,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_178,plain,
( op2(h4(e12),h1(e12)) = h4(e12)
| op2(h4(e12),h1(e12)) = h3(e12)
| op2(h4(e12),h1(e12)) = h2(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)],[c_0_157,c_0_20]),c_0_27]),c_0_27]),c_0_20]),c_0_27]),c_0_35]),c_0_20]),c_0_27]),c_0_22]),c_0_20]),c_0_27]),c_0_20]),c_0_158]) ).
cnf(c_0_179,plain,
op2(h4(e12),h1(e12)) != op2(h2(e12),h1(e12)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_20]),c_0_27]),c_0_35]),c_0_27]) ).
cnf(c_0_180,plain,
( op2(h4(e12),h1(e12)) = h4(e12)
| h1(e13) = h4(e12) ),
inference(sr,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_181,plain,
op2(h4(e12),h1(e12)) != h4(e12),
inference(rw,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_182,plain,
( op2(h2(e12),h1(e12)) = h2(e12)
| op2(h4(e12),h1(e12)) = h4(e12) ),
inference(sr,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_183,plain,
( op1(e13,e10) = e13
| op1(e12,e10) = e12
| op1(e11,e10) = e11
| op1(e10,e10) != e10 ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_184,plain,
( op1(e13,e10) = e13
| op1(e12,e10) = e12
| op1(e11,e10) = e11
| op1(e10,e10) = e10 ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_185,plain,
op1(e12,e10) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_186,plain,
op1(e10,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_187,plain,
( op1(e10,e10) = e13
| op1(e13,e11) != e13 ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_188,plain,
( op1(e10,e11) = e10
| op1(e13,e11) = e13 ),
inference(sr,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_189,plain,
op1(e10,e11) != e10,
inference(rw,[status(thm)],[c_0_170,c_0_171]) ).
fof(c_0_190,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 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_172])])]) ).
cnf(c_0_191,plain,
op2(e21,e20) != op2(e22,e20),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_192,plain,
( op2(h3(e12),h2(e12)) = h1(e12)
| h2(e13) = h1(e12) ),
inference(sr,[status(thm)],[c_0_173,c_0_134]) ).
cnf(c_0_193,plain,
( op2(h3(e12),h1(e12)) = h2(e12)
| op2(h3(e12),h2(e12)) = h2(e12) ),
inference(sr,[status(thm)],[c_0_174,c_0_61]) ).
cnf(c_0_194,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_195,plain,
e22 != h1(e12),
inference(rw,[status(thm)],[c_0_175,c_0_27]) ).
cnf(c_0_196,plain,
( h1(e13) = h3(e12)
| h4(e11) != h1(e13) ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_197,plain,
( h1(e13) = h3(e12)
| h4(e11) = h4(e12)
| h4(e11) = h3(e12)
| h4(e11) = h2(e12) ),
inference(spm,[status(thm)],[c_0_178,c_0_177]) ).
cnf(c_0_198,plain,
( h1(e13) = h3(e12)
| h1(e13) = h4(e12) ),
inference(sr,[status(thm)],[c_0_125,c_0_156]) ).
cnf(c_0_199,plain,
( h1(e13) = h3(e12)
| op2(h2(e12),h1(e12)) != h4(e11) ),
inference(spm,[status(thm)],[c_0_179,c_0_177]) ).
cnf(c_0_200,plain,
h1(e13) = h4(e12),
inference(sr,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_201,plain,
op2(h2(e12),h1(e12)) = h2(e12),
inference(sr,[status(thm)],[c_0_182,c_0_181]) ).
cnf(c_0_202,plain,
( op1(e13,e10) = e13
| op1(e12,e10) = e12
| op1(e11,e10) = e11 ),
inference(csr,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_203,plain,
op1(e12,e10) != e12,
inference(rw,[status(thm)],[c_0_185,c_0_143]) ).
cnf(c_0_204,plain,
( op1(e13,e10) != e13
| op1(e13,e11) != e13 ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_205,plain,
op1(e13,e11) = e13,
inference(sr,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_206,plain,
op1(e13,e10) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_207,plain,
op2(e20,e21) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_208,plain,
op2(e20,e22) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_209,plain,
op1(e11,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_210,plain,
( ( 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 ) )
=> epred3_0 ),
inference(split_equiv,[status(thm)],[c_0_149]) ).
cnf(c_0_211,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_212,negated_conjecture,
( h3(e13) != e23
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_213,plain,
h3(e13) = op2(e22,e22),
inference(split_conjunct,[status(thm)],[ax16]) ).
cnf(c_0_214,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_215,plain,
op2(h3(e12),h1(e12)) != op2(h2(e12),h1(e12)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_35]),c_0_27]),c_0_22]),c_0_27]) ).
cnf(c_0_216,plain,
( op2(h3(e12),h1(e12)) = h2(e12)
| h2(e13) = h1(e12) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_86]) ).
cnf(c_0_217,plain,
op2(e23,e20) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_218,plain,
( op2(h4(e12),h3(e12)) = h3(e12)
| op2(h2(e12),h3(e12)) = h3(e12)
| op2(h1(e12),h3(e12)) = h3(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)],[c_0_194,c_0_27]),c_0_22]),c_0_22]),c_0_35]),c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_26]),c_0_22]),c_0_20]),c_0_22]),c_0_22]),c_0_63]) ).
cnf(c_0_219,plain,
h3(e12) != h1(e12),
inference(rw,[status(thm)],[c_0_195,c_0_22]) ).
cnf(c_0_220,plain,
( h4(e11) = h2(e12)
| h4(e11) = h3(e12)
| h1(e13) = h3(e12) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_198]) ).
cnf(c_0_221,plain,
h4(e11) != h2(e12),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_200]),c_0_63]),c_0_201]) ).
cnf(c_0_222,plain,
op1(e11,e12) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_223,plain,
( op1(e11,e10) = e11
| op1(e13,e10) = e13 ),
inference(sr,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_224,plain,
op1(e13,e10) != e13,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_205])]) ).
cnf(c_0_225,plain,
op2(e21,e21) != op2(e22,e21),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_226,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_227,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_228,plain,
op1(e13,e10) != e10,
inference(rw,[status(thm)],[c_0_206,c_0_70]) ).
cnf(c_0_229,plain,
op1(e10,e10) != op1(e10,e12),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_230,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_231,plain,
op2(h1(e12),h4(e12)) != op2(h1(e12),h2(e12)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_27]),c_0_20]),c_0_27]),c_0_35]) ).
cnf(c_0_232,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_233,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_234,plain,
op2(h1(e12),h4(e12)) != op2(h1(e12),h3(e12)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_27]),c_0_20]),c_0_27]),c_0_22]) ).
cnf(c_0_235,plain,
op2(e21,e20) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_236,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_237,plain,
op1(e10,e12) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_238,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_239,plain,
op1(e11,e13) != e10,
inference(rw,[status(thm)],[c_0_209,c_0_70]) ).
cnf(c_0_240,plain,
op1(e10,e12) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_241,plain,
( ( h3(e10) != e22
| h3(e10) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e10) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e10) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e10) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e11) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e11) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e11) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e11) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e12) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e12) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e12) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e12) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e13) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e13) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e13) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e13) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e10) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e10) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e10) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e10) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e11) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e11) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e11) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e11) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e12) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e12) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e12) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e12) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e13) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e13) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e13) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e13) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e10) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e10) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e10) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e10) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e11) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e11) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e11) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e11) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e12) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e12) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e12) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e12) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e13) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e13) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e13) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e13) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e10) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e10) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e10) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e10) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e11) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e11) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e11) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e11) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e12) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e12) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e12) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e12) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e13) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e13) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e13) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e13) != e21
| h3(e13) != e20
| 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))
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_210])])]) ).
cnf(c_0_242,plain,
h3(e10) = op2(op2(e22,e22),op2(e22,e22)),
inference(split_conjunct,[status(thm)],[ax16]) ).
cnf(c_0_243,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(split_conjunct,[status(thm)],[ax16]) ).
cnf(c_0_244,plain,
( op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_70]),c_0_90]),c_0_118]) ).
cnf(c_0_245,negated_conjecture,
( h3(e13) != h4(e12)
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_212,c_0_20]) ).
cnf(c_0_246,plain,
h3(e13) = h4(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_22]),c_0_22]),c_0_26]) ).
cnf(c_0_247,plain,
( op2(h4(e12),h2(e12)) = h3(e12)
| op2(h3(e12),h2(e12)) = h3(e12)
| op2(h1(e12),h2(e12)) = h3(e12)
| h2(e13) = h3(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_27]),c_0_35]),c_0_22]),c_0_35]),c_0_35]),c_0_58]),c_0_22]),c_0_22]),c_0_35]),c_0_22]),c_0_20]),c_0_35]),c_0_22]) ).
cnf(c_0_248,plain,
( h2(e13) = h1(e12)
| op2(h2(e12),h1(e12)) != h2(e12) ),
inference(spm,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_249,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_250,plain,
e11 != e12,
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_251,plain,
op2(h4(e12),h3(e12)) != op2(h4(e12),h1(e12)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_20]),c_0_27]),c_0_20]),c_0_22]) ).
cnf(c_0_252,plain,
( op2(h2(e12),h3(e12)) = h3(e12)
| op2(h4(e12),h3(e12)) = h3(e12) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_218,c_0_110]),c_0_219]) ).
cnf(c_0_253,plain,
h4(e11) = h3(e12),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_200]),c_0_63]),c_0_221]) ).
cnf(c_0_254,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_255,plain,
op1(e11,e12) != e13,
inference(rw,[status(thm)],[c_0_222,c_0_54]) ).
cnf(c_0_256,plain,
op1(e11,e10) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_257,plain,
op1(e11,e10) = e11,
inference(sr,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_258,plain,
op2(h3(e12),h2(e12)) != h2(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_35]),c_0_35]),c_0_58]),c_0_22]),c_0_35]) ).
cnf(c_0_259,plain,
( op2(h3(e12),h2(e12)) = h1(e12)
| op2(h3(e12),h1(e12)) = h1(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_226,c_0_22]),c_0_27]),c_0_27]),c_0_22]),c_0_35]),c_0_27]),c_0_22]),c_0_22]),c_0_26]),c_0_27]),c_0_22]),c_0_20]),c_0_27]),c_0_66]),c_0_43]) ).
cnf(c_0_260,plain,
( op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_261,plain,
op1(e10,e10) != e10,
inference(rw,[status(thm)],[c_0_229,c_0_171]) ).
cnf(c_0_262,plain,
( op2(h4(e12),h2(e12)) = h2(e12)
| op2(h3(e12),h2(e12)) = h2(e12)
| op2(h1(e12),h2(e12)) = h2(e12)
| h2(e13) = h2(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_27]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_58]),c_0_35]),c_0_22]),c_0_35]),c_0_35]),c_0_20]),c_0_35]),c_0_35]) ).
cnf(c_0_263,plain,
op2(h1(e12),h2(e12)) != h2(e12),
inference(rw,[status(thm)],[c_0_231,c_0_46]) ).
cnf(c_0_264,plain,
( op1(e12,e13) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_54]),c_0_139]) ).
cnf(c_0_265,plain,
op1(e11,e10) != op1(e12,e10),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_266,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_267,plain,
op1(e11,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_268,plain,
( op2(h4(e12),h3(e12)) = h2(e12)
| op2(h2(e12),h3(e12)) = h2(e12)
| op2(h1(e12),h3(e12)) = h2(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)],[c_0_233,c_0_27]),c_0_22]),c_0_35]),c_0_35]),c_0_22]),c_0_35]),c_0_22]),c_0_22]),c_0_26]),c_0_35]),c_0_20]),c_0_22]),c_0_35]),c_0_106]) ).
cnf(c_0_269,plain,
op2(h1(e12),h3(e12)) != h2(e12),
inference(rw,[status(thm)],[c_0_234,c_0_46]) ).
cnf(c_0_270,plain,
op2(h2(e12),h3(e12)) != op2(h2(e12),h1(e12)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_35]),c_0_27]),c_0_35]),c_0_22]) ).
cnf(c_0_271,plain,
( op1(e13,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_54]),c_0_139]) ).
cnf(c_0_272,plain,
op1(e10,e12) != e11,
inference(rw,[status(thm)],[c_0_237,c_0_92]) ).
cnf(c_0_273,plain,
( op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 ),
inference(sr,[status(thm)],[c_0_238,c_0_239]) ).
cnf(c_0_274,plain,
op1(e11,e12) != e10,
inference(rw,[status(thm)],[c_0_240,c_0_171]) ).
cnf(c_0_275,plain,
( epred3_0
| h3(e12) != e22
| h3(e11) != e21
| h3(e10) != e20
| 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)) ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_276,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_22]),c_0_22]),c_0_26]),c_0_22]),c_0_22]),c_0_26]),c_0_24]),c_0_31]) ).
cnf(c_0_277,plain,
h3(e11) = h2(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_22]),c_0_22]),c_0_26]),c_0_22]),c_0_22]),c_0_26]),c_0_24]),c_0_31]),c_0_22]),c_0_22]),c_0_26]),c_0_46]) ).
cnf(c_0_278,plain,
op1(e11,e13) = e13,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_244,c_0_92]),c_0_139]) ).
cnf(c_0_279,negated_conjecture,
~ epred3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_246])]) ).
cnf(c_0_280,plain,
( op2(h1(e12),h2(e12)) = h3(e12)
| op2(h4(e12),h2(e12)) = h3(e12)
| h2(e13) = h3(e12) ),
inference(sr,[status(thm)],[c_0_247,c_0_108]) ).
cnf(c_0_281,plain,
h2(e13) = h1(e12),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_248,c_0_201])]) ).
cnf(c_0_282,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_92]),c_0_250]) ).
cnf(c_0_283,plain,
op1(e10,e10) = e13,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_205])]) ).
cnf(c_0_284,plain,
e10 != e12,
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_285,plain,
( op2(h2(e12),h3(e12)) = h3(e12)
| op2(h4(e12),h1(e12)) != h3(e12) ),
inference(spm,[status(thm)],[c_0_251,c_0_252]) ).
cnf(c_0_286,plain,
op2(h4(e12),h1(e12)) = h3(e12),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_200]),c_0_63]),c_0_253]) ).
cnf(c_0_287,plain,
( op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 ),
inference(sr,[status(thm)],[c_0_254,c_0_255]) ).
cnf(c_0_288,plain,
op1(e11,e12) != e11,
inference(rw,[status(thm)],[c_0_256,c_0_257]) ).
cnf(c_0_289,plain,
( op2(h3(e12),h1(e12)) = h1(e12)
| h2(e13) != h1(e12) ),
inference(spm,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_290,plain,
( op1(e11,e10) = e10
| op1(e12,e10) = e10 ),
inference(sr,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_291,plain,
( op2(h3(e12),h2(e12)) = h2(e12)
| op2(h4(e12),h2(e12)) = h2(e12)
| h2(e13) = h2(e12) ),
inference(sr,[status(thm)],[c_0_262,c_0_263]) ).
cnf(c_0_292,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11 ),
inference(sr,[status(thm)],[c_0_264,c_0_116]) ).
cnf(c_0_293,plain,
op1(e12,e10) != e11,
inference(rw,[status(thm)],[c_0_265,c_0_257]) ).
cnf(c_0_294,plain,
( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11 ),
inference(sr,[status(thm)],[c_0_266,c_0_228]) ).
cnf(c_0_295,plain,
op1(e13,e10) != e11,
inference(rw,[status(thm)],[c_0_267,c_0_257]) ).
cnf(c_0_296,plain,
( op2(h2(e12),h3(e12)) = h2(e12)
| op2(h4(e12),h3(e12)) = h2(e12) ),
inference(sr,[status(thm)],[c_0_268,c_0_269]) ).
cnf(c_0_297,plain,
op2(h2(e12),h3(e12)) != h2(e12),
inference(rw,[status(thm)],[c_0_270,c_0_201]) ).
cnf(c_0_298,plain,
( op1(e11,e12) = e11
| op1(e13,e12) = e11 ),
inference(sr,[status(thm)],[c_0_271,c_0_272]) ).
cnf(c_0_299,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10 ),
inference(sr,[status(thm)],[c_0_273,c_0_274]) ).
cnf(c_0_300,plain,
( op2(h1(e12),h2(e12)) != h3(op1(e10,e11))
| op2(h1(e12),h3(e12)) != h3(op1(e10,e12))
| op2(h2(e12),h1(e12)) != h3(op1(e11,e10))
| op2(h2(e12),h3(e12)) != h3(op1(e11,e12))
| op2(h3(e12),h1(e12)) != h3(op1(e12,e10))
| op2(h3(e12),h2(e12)) != h3(op1(e12,e11))
| op2(h4(e12),h1(e12)) != h3(op1(e13,e10))
| op2(h4(e12),h2(e12)) != h3(op1(e13,e11))
| op2(h4(e12),h3(e12)) != h3(op1(e13,e12))
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e11,e11)) != h2(e13) ),
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)],[c_0_275,c_0_27]),c_0_276]),c_0_35]),c_0_277]),c_0_22]),c_0_276]),c_0_276]),c_0_56]),c_0_276]),c_0_277]),c_0_276]),c_0_276]),c_0_246]),c_0_46]),c_0_92]),c_0_277]),c_0_277]),c_0_276]),c_0_277]),c_0_277]),c_0_58]),c_0_277]),c_0_277]),c_0_246]),c_0_131]),c_0_278]),c_0_246]),c_0_276]),c_0_277]),c_0_26]),c_0_54]),c_0_246]),c_0_246]),c_0_82]),c_0_143]),c_0_246]),c_0_276]),c_0_246]),c_0_277]),c_0_246]),c_0_246]),c_0_246]),c_0_24]),c_0_31]),c_0_70]),c_0_276])]),c_0_279]) ).
cnf(c_0_301,plain,
op2(h1(e12),h2(e12)) = h3(e12),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_280,c_0_281]),c_0_219]),c_0_163]),c_0_63]) ).
cnf(c_0_302,plain,
op1(e10,e11) = e12,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_282,c_0_283]),c_0_171]),c_0_121]),c_0_284]) ).
cnf(c_0_303,plain,
op2(h2(e12),h3(e12)) = h3(e12),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_285,c_0_286])]) ).
cnf(c_0_304,plain,
op1(e11,e12) = e12,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_287,c_0_288]),c_0_274]) ).
cnf(c_0_305,plain,
op2(h3(e12),h1(e12)) = h1(e12),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_289,c_0_281])]) ).
cnf(c_0_306,plain,
op1(e12,e10) = e10,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_257]),c_0_146]) ).
cnf(c_0_307,plain,
op2(h3(e12),h2(e12)) = h2(e12),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_291,c_0_281]),c_0_86]),c_0_163]),c_0_106]) ).
cnf(c_0_308,plain,
op1(e12,e11) = e11,
inference(sr,[status(thm)],[c_0_292,c_0_293]) ).
cnf(c_0_309,plain,
op1(e13,e10) = e12,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_294,c_0_224]),c_0_295]) ).
cnf(c_0_310,plain,
op2(h4(e12),h3(e12)) = h2(e12),
inference(sr,[status(thm)],[c_0_296,c_0_297]) ).
cnf(c_0_311,plain,
op1(e13,e12) = e11,
inference(sr,[status(thm)],[c_0_298,c_0_288]) ).
cnf(c_0_312,plain,
op1(e11,e11) = e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_299,c_0_257]),c_0_146]) ).
cnf(c_0_313,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_300,c_0_301]),c_0_302]),c_0_110]),c_0_171]),c_0_276]),c_0_201]),c_0_257]),c_0_277]),c_0_303]),c_0_304]),c_0_305]),c_0_306]),c_0_276]),c_0_307]),c_0_308]),c_0_277]),c_0_286]),c_0_309]),c_0_163]),c_0_205]),c_0_246]),c_0_310]),c_0_311]),c_0_277]),c_0_283]),c_0_246]),c_0_200]),c_0_312]),c_0_276]),c_0_281])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ALG110+1 : TPTP v8.2.0. Released v2.7.0.
% 0.08/0.15 % Command : run_E %s %d THM
% 0.16/0.37 % Computer : n029.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sat May 18 23:08:08 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.23/0.50 Running first-order model finding
% 0.23/0.50 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.36/0.62 # Version: 3.1.0
% 0.36/0.62 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.36/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.62 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.36/0.62 # Starting new_bool_3 with 300s (1) cores
% 0.36/0.62 # Starting new_bool_1 with 300s (1) cores
% 0.36/0.62 # Starting sh5l with 300s (1) cores
% 0.36/0.62 # sh5l with pid 16752 completed with status 0
% 0.36/0.62 # Result found by sh5l
% 0.36/0.62 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.36/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.62 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.36/0.62 # Starting new_bool_3 with 300s (1) cores
% 0.36/0.62 # Starting new_bool_1 with 300s (1) cores
% 0.36/0.62 # Starting sh5l with 300s (1) cores
% 0.36/0.62 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.36/0.62 # Search class: FGHSF-FMLM21-MFFFFFNN
% 0.36/0.62 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.36/0.62 # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 181s (1) cores
% 0.36/0.62 # C07_19_nc_SAT001_MinMin_p005000_rr with pid 16754 completed with status 0
% 0.36/0.62 # Result found by C07_19_nc_SAT001_MinMin_p005000_rr
% 0.36/0.62 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.36/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.62 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.36/0.62 # Starting new_bool_3 with 300s (1) cores
% 0.36/0.62 # Starting new_bool_1 with 300s (1) cores
% 0.36/0.62 # Starting sh5l with 300s (1) cores
% 0.36/0.62 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.36/0.62 # Search class: FGHSF-FMLM21-MFFFFFNN
% 0.36/0.62 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.36/0.62 # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 181s (1) cores
% 0.36/0.62 # Preprocessing time : 0.009 s
% 0.36/0.62 # Presaturation interreduction done
% 0.36/0.62
% 0.36/0.62 # Proof found!
% 0.36/0.62 # SZS status Theorem
% 0.36/0.62 # SZS output start CNFRefutation
% See solution above
% 0.36/0.62 # Parsed axioms : 18
% 0.36/0.62 # Removed by relevancy pruning/SinE : 0
% 0.36/0.62 # Initial clauses : 642
% 0.36/0.62 # Removed in clause preprocessing : 0
% 0.36/0.62 # Initial clauses in saturation : 642
% 0.36/0.62 # Processed clauses : 1471
% 0.36/0.62 # ...of these trivial : 72
% 0.36/0.62 # ...subsumed : 597
% 0.36/0.62 # ...remaining for further processing : 801
% 0.36/0.62 # Other redundant clauses eliminated : 0
% 0.36/0.62 # Clauses deleted for lack of memory : 0
% 0.36/0.62 # Backward-subsumed : 144
% 0.36/0.62 # Backward-rewritten : 272
% 0.36/0.62 # Generated clauses : 567
% 0.36/0.62 # ...of the previous two non-redundant : 749
% 0.36/0.62 # ...aggressively subsumed : 0
% 0.36/0.62 # Contextual simplify-reflections : 29
% 0.36/0.62 # Paramodulations : 481
% 0.36/0.62 # Factorizations : 20
% 0.36/0.62 # NegExts : 0
% 0.36/0.62 # Equation resolutions : 0
% 0.36/0.62 # Disequality decompositions : 0
% 0.36/0.62 # Total rewrite steps : 9140
% 0.36/0.62 # ...of those cached : 9088
% 0.36/0.62 # Propositional unsat checks : 0
% 0.36/0.62 # Propositional check models : 0
% 0.36/0.62 # Propositional check unsatisfiable : 0
% 0.36/0.62 # Propositional clauses : 0
% 0.36/0.62 # Propositional clauses after purity: 0
% 0.36/0.62 # Propositional unsat core size : 0
% 0.36/0.62 # Propositional preprocessing time : 0.000
% 0.36/0.62 # Propositional encoding time : 0.000
% 0.36/0.62 # Propositional solver time : 0.000
% 0.36/0.62 # Success case prop preproc time : 0.000
% 0.36/0.62 # Success case prop encoding time : 0.000
% 0.36/0.62 # Success case prop solver time : 0.000
% 0.36/0.62 # Current number of processed clauses : 80
% 0.36/0.62 # Positive orientable unit clauses : 48
% 0.36/0.62 # Positive unorientable unit clauses: 0
% 0.36/0.62 # Negative unit clauses : 32
% 0.36/0.62 # Non-unit-clauses : 0
% 0.36/0.62 # Current number of unprocessed clauses: 15
% 0.36/0.62 # ...number of literals in the above : 238
% 0.36/0.62 # Current number of archived formulas : 0
% 0.36/0.62 # Current number of archived clauses : 721
% 0.36/0.62 # Clause-clause subsumption calls (NU) : 16090
% 0.36/0.62 # Rec. Clause-clause subsumption calls : 2606
% 0.36/0.62 # Non-unit clause-clause subsumptions : 170
% 0.36/0.62 # Unit Clause-clause subsumption calls : 1415
% 0.36/0.62 # Rewrite failures with RHS unbound : 0
% 0.36/0.62 # BW rewrite match attempts : 35
% 0.36/0.62 # BW rewrite match successes : 35
% 0.36/0.62 # Condensation attempts : 0
% 0.36/0.62 # Condensation successes : 0
% 0.36/0.62 # Termbank termtop insertions : 113170
% 0.36/0.62 # Search garbage collected termcells : 2940
% 0.36/0.62
% 0.36/0.62 # -------------------------------------------------
% 0.36/0.62 # User time : 0.102 s
% 0.36/0.62 # System time : 0.004 s
% 0.36/0.62 # Total time : 0.106 s
% 0.36/0.62 # Maximum resident set size: 3128 pages
% 0.36/0.62
% 0.36/0.62 # -------------------------------------------------
% 0.36/0.62 # User time : 0.107 s
% 0.36/0.62 # System time : 0.007 s
% 0.36/0.62 # Total time : 0.114 s
% 0.36/0.62 # Maximum resident set size: 1876 pages
% 0.36/0.62 % E---3.1 exiting
%------------------------------------------------------------------------------