TSTP Solution File: ALG112+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ALG112+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 16:48:17 EDT 2022
% Result : Theorem 0.21s 4.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 21
% Syntax : Number of formulae : 566 ( 171 unt; 0 def)
% Number of atoms : 4079 (3770 equ)
% Maximal formula atoms : 1280 ( 7 avg)
% Number of connectives : 5399 (1886 ~;2852 |; 652 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 84 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 7 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(ax13,axiom,
( e20 = op2(op2(e21,e21),e21)
& e22 = op2(e21,e21)
& e23 = op2(e21,op2(op2(e21,e21),e21)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',ax13) ).
fof(ax12,axiom,
( e10 = op1(op1(e11,e11),e11)
& e12 = op1(e11,e11)
& e13 = op1(e11,op1(op1(e11,e11),e11)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',ax12) ).
fof(ax11,axiom,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e23,e20),op2(e23,e20)) = e23 )
| ( op2(op2(e20,e21),op2(e20,e21)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e23 )
| ( op2(op2(e20,e22),op2(e20,e22)) = e20
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e23,e22),op2(e23,e22)) = e23 )
| ( op2(op2(e20,e23),op2(e20,e23)) = e20
& op2(op2(e21,e23),op2(e21,e23)) = e21
& op2(op2(e22,e23),op2(e22,e23)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',ax11) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',ax4) ).
fof(ax8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',ax8) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',ax6) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',ax5) ).
fof(ax1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',ax1) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',ax3) ).
fof(ax10,axiom,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e13,e10),op1(e13,e10)) = e13 )
| ( op1(op1(e10,e11),op1(e10,e11)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e13 )
| ( op1(op1(e10,e12),op1(e10,e12)) = e10
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e13,e12),op1(e13,e12)) = e13 )
| ( op1(op1(e10,e13),op1(e10,e13)) = e10
& op1(op1(e11,e13),op1(e11,e13)) = e11
& op1(op1(e12,e13),op1(e12,e13)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',ax10) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',ax2) ).
fof(ax7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',ax7) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',co1) ).
fof(ax16,axiom,
( h3(e11) = e22
& h3(e10) = op2(op2(e22,e22),e22)
& h3(e12) = op2(e22,e22)
& h3(e13) = op2(e22,op2(op2(e22,e22),e22)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',ax16) ).
fof(ax15,axiom,
( h2(e11) = e21
& h2(e10) = op2(op2(e21,e21),e21)
& h2(e12) = op2(e21,e21)
& h2(e13) = op2(e21,op2(op2(e21,e21),e21)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',ax15) ).
cnf(c_0_15,plain,
e20 = op2(op2(e21,e21),e21),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_16,plain,
e22 = op2(e21,e21),
inference(split_conjunct,[status(thm)],[ax13]) ).
fof(c_0_17,plain,
( epred2_0
<=> ( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e23,e20),op2(e23,e20)) = e23 )
| ( op2(op2(e20,e21),op2(e20,e21)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e23 )
| ( op2(op2(e20,e22),op2(e20,e22)) = e20
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e23,e22),op2(e23,e22)) = e23 ) ) ),
introduced(definition) ).
cnf(c_0_18,plain,
e23 = op2(e21,op2(op2(e21,e21),e21)),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_19,plain,
op2(e22,e21) = e20,
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
e10 = op1(op1(e11,e11),e11),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_21,plain,
e12 = op1(e11,e11),
inference(split_conjunct,[status(thm)],[ax12]) ).
fof(c_0_22,axiom,
( epred2_0
| ( op2(op2(e20,e23),op2(e20,e23)) = e20
& op2(op2(e21,e23),op2(e21,e23)) = e21
& op2(op2(e22,e23),op2(e22,e23)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(apply_def,[status(thm)],[ax11,c_0_17]) ).
cnf(c_0_23,plain,
( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_24,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_25,plain,
op2(e21,e20) != op2(e22,e20),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_26,plain,
op2(e21,e20) = e23,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_16]),c_0_19]) ).
cnf(c_0_27,plain,
op1(e11,e11) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_28,plain,
e13 = op1(e11,op1(op1(e11,e11),e11)),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_29,plain,
op1(e12,e11) = e10,
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_30,plain,
op2(e21,e21) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
fof(c_0_31,plain,
( ( op2(op2(e20,e23),op2(e20,e23)) = e20
| epred2_0 )
& ( op2(op2(e21,e23),op2(e21,e23)) = e21
| epred2_0 )
& ( op2(op2(e22,e23),op2(e22,e23)) = e22
| epred2_0 )
& ( op2(op2(e23,e23),op2(e23,e23)) = e23
| epred2_0 ) ),
inference(distribute,[status(thm)],[c_0_22]) ).
cnf(c_0_32,plain,
( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e20) = e23 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_19]),c_0_24]) ).
cnf(c_0_33,plain,
op2(e22,e20) != e23,
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_34,plain,
( epred1_0
<=> ( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e13,e10),op1(e13,e10)) = e13 )
| ( op1(op1(e10,e11),op1(e10,e11)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e13 )
| ( op1(op1(e10,e12),op1(e10,e12)) = e10
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e13,e12),op1(e13,e12)) = e13 ) ) ),
introduced(definition) ).
cnf(c_0_35,plain,
( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_36,plain,
op1(e11,e13) != e12,
inference(rw,[status(thm)],[c_0_27,c_0_21]) ).
cnf(c_0_37,plain,
op1(e11,e10) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_38,plain,
op1(e11,e10) = e13,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_21]),c_0_29]) ).
cnf(c_0_39,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_40,plain,
op2(e21,e23) != e22,
inference(rw,[status(thm)],[c_0_30,c_0_16]) ).
cnf(c_0_41,plain,
op2(e21,e20) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_42,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_43,plain,
e20 != e22,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_44,plain,
( epred2_0
| op2(op2(e22,e23),op2(e22,e23)) = e22 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_45,plain,
( op2(e22,e22) = e23
| op2(e22,e23) = e23 ),
inference(sr,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_46,axiom,
( epred1_0
| ( op1(op1(e10,e13),op1(e10,e13)) = e10
& op1(op1(e11,e13),op1(e11,e13)) = e11
& op1(op1(e12,e13),op1(e12,e13)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(apply_def,[status(thm)],[ax10,c_0_34]) ).
cnf(c_0_47,plain,
( op1(e11,e13) = e13
| op1(e11,e13) = e11
| op1(e11,e13) = e10 ),
inference(sr,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_48,plain,
op1(e11,e13) != e13,
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_49,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e21
| op2(e21,e23) = e20 ),
inference(sr,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_50,plain,
op2(e21,e23) != e23,
inference(rw,[status(thm)],[c_0_41,c_0_26]) ).
cnf(c_0_51,plain,
op2(e20,e21) != op2(e22,e21),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_52,plain,
op2(e20,e21) != op2(e21,e21),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_53,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e20) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_19]),c_0_43]) ).
cnf(c_0_54,plain,
( epred2_0
| op2(op2(e23,e23),op2(e23,e23)) = e23 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_55,plain,
( op2(e22,e22) = e23
| op2(e23,e23) = e22
| epred2_0 ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_56,plain,
op1(e10,e11) != op1(e11,e11),
inference(split_conjunct,[status(thm)],[ax5]) ).
fof(c_0_57,plain,
( ( op1(op1(e10,e13),op1(e10,e13)) = e10
| epred1_0 )
& ( op1(op1(e11,e13),op1(e11,e13)) = e11
| epred1_0 )
& ( op1(op1(e12,e13),op1(e12,e13)) = e12
| epred1_0 )
& ( op1(op1(e13,e13),op1(e13,e13)) = e13
| epred1_0 ) ),
inference(distribute,[status(thm)],[c_0_46]) ).
cnf(c_0_58,plain,
op1(e11,e12) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_59,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11 ),
inference(sr,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_60,plain,
op1(e10,e11) != op1(e12,e11),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_61,plain,
op2(e21,e22) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_62,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21 ),
inference(sr,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_63,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_64,plain,
op2(e20,e21) != e20,
inference(rw,[status(thm)],[c_0_51,c_0_19]) ).
cnf(c_0_65,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_66,plain,
op2(e20,e21) != e22,
inference(rw,[status(thm)],[c_0_52,c_0_16]) ).
cnf(c_0_67,plain,
op2(e22,e21) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_68,plain,
( op2(e22,e20) = e22
| op2(e22,e22) = e22
| epred2_0 ),
inference(spm,[status(thm)],[c_0_44,c_0_53]) ).
cnf(c_0_69,plain,
( op2(e22,e22) = e23
| epred2_0 ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_70,plain,
e22 != e23,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_71,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_72,plain,
op1(e10,e11) != e12,
inference(rw,[status(thm)],[c_0_56,c_0_21]) ).
cnf(c_0_73,plain,
op1(e12,e11) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_74,plain,
( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_75,plain,
e10 != e13,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_76,plain,
e10 != e12,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_77,plain,
( epred1_0
| op1(op1(e11,e13),op1(e11,e13)) = e11 ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_78,plain,
( op1(e11,e13) = e11
| op1(e11,e12) != e10 ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_79,plain,
e11 != e12,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_80,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_81,plain,
op1(e10,e11) != e10,
inference(rw,[status(thm)],[c_0_60,c_0_29]) ).
fof(c_0_82,plain,
( epred3_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_83,plain,
( epred4_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_84,plain,
( epred5_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_85,plain,
( epred6_0
<=> ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_86,plain,
( epred2_0
=> ( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e23,e20),op2(e23,e20)) = e23 )
| ( op2(op2(e20,e21),op2(e20,e21)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e23 )
| ( op2(op2(e20,e22),op2(e20,e22)) = e20
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e23,e22),op2(e23,e22)) = e23 ) ) ),
inference(split_equiv,[status(thm)],[c_0_17]) ).
cnf(c_0_87,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_88,plain,
( epred2_0
| op2(op2(e21,e23),op2(e21,e23)) = e21 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_89,plain,
( op2(e21,e23) = e21
| op2(e21,e22) != e20 ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_90,plain,
e21 != e22,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_91,plain,
( epred2_0
| op2(op2(e20,e23),op2(e20,e23)) = e20 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_92,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e20) = e20 ),
inference(sr,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_93,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e20) = e22 ),
inference(sr,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_94,plain,
op2(e22,e22) != e20,
inference(rw,[status(thm)],[c_0_67,c_0_19]) ).
cnf(c_0_95,plain,
op2(e20,e20) != op2(e22,e20),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_96,plain,
( op2(e22,e20) = e22
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).
fof(c_0_97,plain,
( epred1_0
=> ( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e13,e10),op1(e13,e10)) = e13 )
| ( op1(op1(e10,e11),op1(e10,e11)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e13 )
| ( op1(op1(e10,e12),op1(e10,e12)) = e10
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e13,e12),op1(e13,e12)) = e13 ) ) ),
inference(split_equiv,[status(thm)],[c_0_34]) ).
cnf(c_0_98,plain,
( epred1_0
| op1(op1(e10,e13),op1(e10,e13)) = e10 ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_99,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e10) = e12 ),
inference(sr,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_100,plain,
op1(e12,e12) != e10,
inference(rw,[status(thm)],[c_0_73,c_0_29]) ).
cnf(c_0_101,plain,
( op1(e11,e13) = e10
| op1(e11,e12) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_38]),c_0_21]),c_0_75]),c_0_76]) ).
cnf(c_0_102,plain,
( epred1_0
| op1(e11,e12) != e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_21]),c_0_79]) ).
cnf(c_0_103,plain,
( op1(e10,e10) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(sr,[status(thm)],[c_0_80,c_0_81]) ).
fof(c_0_104,negated_conjecture,
~ ( ( epred3_0
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( epred4_0
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( epred5_0
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( epred6_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_82]),c_0_83]),c_0_84]),c_0_85]) ).
fof(c_0_105,plain,
( ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])]) ).
cnf(c_0_106,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_26]),c_0_16]),c_0_24]),c_0_43]) ).
cnf(c_0_107,plain,
( epred2_0
| op2(e21,e22) != e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_16]),c_0_90]) ).
cnf(c_0_108,plain,
( op2(e20,e22) = e20
| op2(e20,e20) = e20
| epred2_0 ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_109,plain,
( op2(e20,e20) = e22
| op2(e20,e22) = e22
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_93]),c_0_94]) ).
cnf(c_0_110,plain,
( epred2_0
| op2(e20,e20) != e22 ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
fof(c_0_111,plain,
( ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_97])]) ).
cnf(c_0_112,plain,
( op1(e10,e10) = e12
| op1(e10,e12) = e12
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).
cnf(c_0_113,plain,
( op1(e10,e10) = e11
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_101]),c_0_102]) ).
cnf(c_0_114,plain,
( op1(e10,e12) = e10
| op1(e10,e10) = e10
| epred1_0 ),
inference(spm,[status(thm)],[c_0_98,c_0_103]) ).
cnf(c_0_115,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_116,plain,
op2(e22,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_117,plain,
op2(e21,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[ax6]) ).
fof(c_0_118,negated_conjecture,
( ( h1(e10) != e23
| ~ epred3_0 )
& ( h1(e11) != e23
| ~ epred3_0 )
& ( h1(e12) != e23
| ~ epred3_0 )
& ( h1(e13) != e23
| ~ epred3_0 )
& ( h2(e10) != e23
| ~ epred4_0 )
& ( h2(e11) != e23
| ~ epred4_0 )
& ( h2(e12) != e23
| ~ epred4_0 )
& ( h2(e13) != e23
| ~ epred4_0 )
& ( h3(e10) != e23
| ~ epred5_0 )
& ( h3(e11) != e23
| ~ epred5_0 )
& ( h3(e12) != e23
| ~ epred5_0 )
& ( h3(e13) != e23
| ~ epred5_0 )
& ( h4(e10) != e23
| ~ epred6_0 )
& ( h4(e11) != e23
| ~ epred6_0 )
& ( h4(e12) != e23
| ~ epred6_0 )
& ( h4(e13) != e23
| ~ epred6_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_104])]) ).
cnf(c_0_119,plain,
( op2(op2(e21,e20),op2(e21,e20)) = e21
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e22,e22),op2(e22,e22)) = e22
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_120,plain,
( op2(e20,e20) = e21
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_106]),c_0_107]) ).
cnf(c_0_121,plain,
( op2(e20,e20) = e20
| epred2_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_43]),c_0_110]) ).
cnf(c_0_122,plain,
e20 != e21,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_123,plain,
op2(e22,e20) != op2(e22,e21),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_124,plain,
( op1(op1(e12,e10),op1(e12,e10)) = e12
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e13,e12),op1(e13,e12)) = e13
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_125,plain,
( op1(e10,e12) = e12
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_79]) ).
cnf(c_0_126,plain,
( op1(e10,e12) = e10
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]) ).
cnf(c_0_127,plain,
op1(e11,e11) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_128,plain,
( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_129,plain,
op1(e11,e10) != op1(e12,e10),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_130,plain,
( op2(op2(e21,e20),op2(e21,e20)) = e21
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e20,e22),op2(e20,e22)) = e20
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_131,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_132,plain,
op2(e23,e21) != e20,
inference(rw,[status(thm)],[c_0_116,c_0_19]) ).
cnf(c_0_133,plain,
op2(e23,e21) != e22,
inference(rw,[status(thm)],[c_0_117,c_0_16]) ).
cnf(c_0_134,negated_conjecture,
( ~ epred5_0
| h3(e12) != e23 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_135,plain,
h3(e12) = op2(e22,e22),
inference(split_conjunct,[status(thm)],[ax16]) ).
cnf(c_0_136,plain,
op2(e20,e23) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_137,plain,
op2(e20,e20) != op2(e21,e20),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_138,plain,
op2(e22,e21) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_139,plain,
( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(e22,e22) = e21
| op2(e23,e23) = e21
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_26]),c_0_26]),c_0_16]),c_0_16]) ).
cnf(c_0_140,plain,
epred2_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]) ).
cnf(c_0_141,plain,
( op2(op2(e23,e20),op2(e23,e20)) = e23
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e20,e22),op2(e20,e22)) = e20
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_142,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_143,plain,
op2(e22,e20) != e20,
inference(rw,[status(thm)],[c_0_123,c_0_19]) ).
cnf(c_0_144,plain,
op1(e12,e10) != op1(e12,e11),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_145,plain,
( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e12,e10),op1(e12,e10)) = e12
| op1(e10,e10) = e12
| ~ epred1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_29]),c_0_29]) ).
cnf(c_0_146,plain,
epred1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_76]) ).
cnf(c_0_147,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_148,plain,
op1(e11,e12) != e12,
inference(rw,[status(thm)],[c_0_127,c_0_21]) ).
cnf(c_0_149,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_150,plain,
( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e10) = e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_29]),c_0_75]) ).
cnf(c_0_151,plain,
op1(e12,e10) != e13,
inference(rw,[status(thm)],[c_0_129,c_0_38]) ).
cnf(c_0_152,plain,
op1(e12,e11) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_153,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(e23,e23) = e21
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_26]),c_0_26]) ).
cnf(c_0_154,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_131,c_0_132]),c_0_133]) ).
cnf(c_0_155,negated_conjecture,
( op2(e22,e22) != e23
| ~ epred5_0 ),
inference(rw,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_156,plain,
( op2(e22,e22) = e23
| op2(e20,e23) != e23 ),
inference(spm,[status(thm)],[c_0_136,c_0_45]) ).
cnf(c_0_157,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_158,plain,
op2(e20,e20) != e23,
inference(rw,[status(thm)],[c_0_137,c_0_26]) ).
cnf(c_0_159,plain,
( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_160,plain,
op2(e22,e23) != e20,
inference(rw,[status(thm)],[c_0_138,c_0_19]) ).
cnf(c_0_161,plain,
( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(e23,e23) = e21
| op2(e22,e22) = e21 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_140])]) ).
cnf(c_0_162,plain,
e21 != e23,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_163,plain,
( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_164,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_165,plain,
( op2(op2(e23,e20),op2(e23,e20)) = e23
| op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(e22,e22) = e21
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_16]),c_0_16]) ).
cnf(c_0_166,plain,
( op2(e23,e20) = e20
| op2(e20,e20) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_26]),c_0_24]),c_0_143]) ).
cnf(c_0_167,plain,
( op2(op2(e23,e20),op2(e23,e20)) = e23
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e20,e22),op2(e20,e22)) = e20
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_168,plain,
( op1(op1(e13,e10),op1(e13,e10)) = e13
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e10,e12),op1(e10,e12)) = e10
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_169,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_170,plain,
e11 != e13,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_171,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_172,plain,
op1(e12,e10) != e10,
inference(rw,[status(thm)],[c_0_144,c_0_29]) ).
cnf(c_0_173,plain,
( op1(op1(e12,e10),op1(e12,e10)) = e12
| op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(e10,e10) = e12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_146])]) ).
cnf(c_0_174,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e10,e12) = e12 ),
inference(sr,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_175,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e10) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_29]),c_0_76]) ).
cnf(c_0_176,plain,
( op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
inference(sr,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_177,plain,
e12 != e13,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_178,plain,
( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_179,plain,
( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_180,plain,
op1(e12,e13) != e10,
inference(rw,[status(thm)],[c_0_152,c_0_29]) ).
cnf(c_0_181,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(e23,e21) = e21
| op2(e23,e23) = e21
| op2(e23,e23) = e23
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_182,negated_conjecture,
( op2(e20,e23) != e23
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_183,plain,
( op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(sr,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_184,plain,
op2(e20,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_185,plain,
op2(e21,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_186,plain,
( op2(e23,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 ),
inference(sr,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_187,plain,
( op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e20,e23) != e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_156]),c_0_162]) ).
cnf(c_0_188,plain,
( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e20,e23) = e22 ),
inference(sr,[status(thm)],[c_0_163,c_0_40]) ).
cnf(c_0_189,plain,
( op2(e20,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(sr,[status(thm)],[c_0_164,c_0_50]) ).
cnf(c_0_190,plain,
( op2(op2(e23,e20),op2(e23,e20)) = e23
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e22,e22),op2(e22,e22)) = e22
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_191,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(e20,e20) = e20
| op2(e22,e22) = e21
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_158]) ).
cnf(c_0_192,plain,
op2(e20,e23) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_193,plain,
( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_194,plain,
( op2(op2(e23,e20),op2(e23,e20)) = e23
| op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(e20,e20) = e22
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_19]),c_0_19]) ).
cnf(c_0_195,plain,
( op1(op1(e13,e10),op1(e13,e10)) = e13
| op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(e10,e10) = e12
| ~ epred1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_29]),c_0_29]) ).
cnf(c_0_196,plain,
( op1(e10,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_38]),c_0_170]) ).
cnf(c_0_197,plain,
( op1(e10,e10) = e10
| op1(e13,e10) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_38]),c_0_75]),c_0_172]) ).
cnf(c_0_198,plain,
( op1(op1(e12,e10),op1(e12,e10)) = e12
| op1(e10,e12) = e12
| op1(e12,e12) = e12
| op1(e10,e10) = e12
| op1(e12,e12) = e13 ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_199,plain,
( op1(e12,e12) = e13
| op1(e12,e10) = e12
| op1(e12,e12) = e12 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_177]) ).
cnf(c_0_200,plain,
op1(e12,e10) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_201,plain,
( op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_178,c_0_172]),c_0_151]) ).
cnf(c_0_202,plain,
op1(e12,e12) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_203,plain,
( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11 ),
inference(sr,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_204,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(e23,e23) = e23
| op2(e23,e23) = e21
| op2(e23,e21) = e21 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_140])]) ).
cnf(c_0_205,negated_conjecture,
( op2(e20,e22) = e23
| op2(e20,e21) = e23
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_206,plain,
( op2(e23,e21) = e21
| op2(e20,e21) != e23 ),
inference(spm,[status(thm)],[c_0_184,c_0_154]) ).
cnf(c_0_207,plain,
( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_208,plain,
( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_209,plain,
op2(e23,e20) != e23,
inference(rw,[status(thm)],[c_0_185,c_0_26]) ).
cnf(c_0_210,plain,
( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_211,plain,
( op2(e23,e23) = e21
| op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) != e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_43]) ).
cnf(c_0_212,plain,
( op2(e20,e23) = e22
| op2(e22,e23) = e22
| op2(e20,e23) = e20
| op2(e21,e23) = e20 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_188]),c_0_43]) ).
cnf(c_0_213,plain,
( op2(e22,e23) = e23
| op2(e20,e23) = e23
| op2(e20,e23) = e20
| op2(e21,e23) = e20 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_189]),c_0_24]) ).
cnf(c_0_214,plain,
( op2(op2(e23,e20),op2(e23,e20)) = e23
| op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(e22,e22) = e21
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_16]),c_0_16]) ).
cnf(c_0_215,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(e22,e22) = e21
| op2(e20,e20) = e20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_140])]) ).
cnf(c_0_216,plain,
( op2(e20,e20) = e20
| op2(e20,e22) = e20
| op2(e21,e23) != e20 ),
inference(spm,[status(thm)],[c_0_192,c_0_92]) ).
cnf(c_0_217,plain,
( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21 ),
inference(sr,[status(thm)],[c_0_193,c_0_143]) ).
cnf(c_0_218,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(e20,e20) = e20
| op2(e20,e20) = e22
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_166]),c_0_158]) ).
cnf(c_0_219,plain,
( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_220,plain,
op1(e10,e10) != op1(e11,e10),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_221,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e13,e10),op1(e13,e10)) = e13
| op1(e10,e10) = e12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_195,c_0_146])]) ).
cnf(c_0_222,plain,
( op1(e10,e10) = e10
| op1(e12,e10) = e11
| op1(e10,e10) = e11 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_115]) ).
cnf(c_0_223,plain,
( op1(e12,e12) = e13
| op1(e10,e10) = e12
| op1(e10,e12) = e12
| op1(e12,e12) = e12 ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_224,plain,
( op1(e12,e10) = e11
| op1(e12,e12) != e12 ),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_225,plain,
op1(e12,e10) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_226,plain,
( op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e12) != e13 ),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_227,plain,
op2(e23,e21) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_228,negated_conjecture,
( op2(e23,e21) = e21
| op2(e23,e23) = e21
| op2(e23,e23) = e23
| op2(e23,e23) = e20
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_206]) ).
cnf(c_0_229,plain,
op2(e20,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_230,plain,
( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e20) = e20 ),
inference(sr,[status(thm)],[c_0_207,c_0_132]) ).
cnf(c_0_231,plain,
op2(e22,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_232,plain,
( op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(sr,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_233,plain,
op2(e21,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_234,plain,
( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e20) = e22 ),
inference(sr,[status(thm)],[c_0_210,c_0_133]) ).
cnf(c_0_235,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) != e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_211]),c_0_122]) ).
cnf(c_0_236,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e20
| op2(e20,e23) = e20
| op2(e20,e23) = e22 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_70]) ).
cnf(c_0_237,plain,
( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(e20,e20) = e20
| op2(e22,e22) = e21
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_166]),c_0_158]) ).
cnf(c_0_238,plain,
op2(e23,e20) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_239,plain,
op2(e22,e20) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_240,plain,
( op2(e22,e22) = e21
| op2(e20,e20) = e20
| op2(e21,e23) != e20 ),
inference(spm,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_241,plain,
( op2(e22,e20) = e21
| op2(e22,e20) = e22 ),
inference(sr,[status(thm)],[c_0_217,c_0_33]) ).
cnf(c_0_242,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(e20,e20) = e22
| op2(e20,e20) = e20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_218,c_0_140])]) ).
cnf(c_0_243,plain,
op2(e22,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_244,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22 ),
inference(sr,[status(thm)],[c_0_219,c_0_209]) ).
cnf(c_0_245,plain,
op1(e10,e10) != e13,
inference(rw,[status(thm)],[c_0_220,c_0_38]) ).
cnf(c_0_246,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(e12,e10) = e11
| op1(e10,e10) = e11
| op1(e10,e10) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_196]),c_0_21]),c_0_177]) ).
cnf(c_0_247,plain,
( op1(e10,e12) = e12
| op1(e12,e12) = e13
| op1(e12,e10) = e11 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_76]),c_0_79]),c_0_224]) ).
cnf(c_0_248,plain,
( op1(e12,e13) = e11
| op1(e12,e10) != e12
| op1(e12,e12) != e13 ),
inference(spm,[status(thm)],[c_0_225,c_0_226]) ).
cnf(c_0_249,negated_conjecture,
( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e21) = e21
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_154]) ).
cnf(c_0_250,plain,
( op2(e23,e20) = e20
| op2(e23,e22) = e20
| op2(e20,e23) != e20 ),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_251,plain,
( op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e22,e23) != e23 ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_252,plain,
op2(e20,e22) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_253,plain,
( op2(e23,e20) = e20
| op2(e23,e22) = e20
| op2(e21,e23) != e20 ),
inference(spm,[status(thm)],[c_0_233,c_0_230]) ).
cnf(c_0_254,plain,
( op2(e23,e20) = e22
| op2(e23,e22) = e22
| op2(e22,e23) != e22 ),
inference(spm,[status(thm)],[c_0_231,c_0_234]) ).
cnf(c_0_255,plain,
( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_256,plain,
op2(e20,e22) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_257,plain,
( op2(e20,e23) = e22
| op2(e20,e23) = e20
| op2(e21,e23) = e20 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_24]) ).
cnf(c_0_258,plain,
( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(e22,e22) = e21
| op2(e20,e20) = e20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_140])]) ).
cnf(c_0_259,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e23,e20) != e20 ),
inference(spm,[status(thm)],[c_0_238,c_0_186]) ).
cnf(c_0_260,plain,
( op2(e20,e20) = e20
| op2(e22,e20) != e21
| op2(e21,e23) != e20 ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_261,plain,
( op2(e22,e20) = e21
| op2(e20,e20) != e22 ),
inference(spm,[status(thm)],[c_0_95,c_0_241]) ).
cnf(c_0_262,plain,
( op2(e20,e20) = e22
| op2(e20,e20) = e20
| op2(e21,e23) != e20 ),
inference(spm,[status(thm)],[c_0_242,c_0_216]) ).
cnf(c_0_263,plain,
op2(e20,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_264,plain,
( op2(e23,e20) = e21
| op2(e23,e20) = e20
| op2(e22,e20) != e22 ),
inference(spm,[status(thm)],[c_0_243,c_0_244]) ).
cnf(c_0_265,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(e10,e10) = e10
| op1(e10,e10) = e12 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_197]),c_0_245]) ).
cnf(c_0_266,plain,
( op1(e12,e12) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e12,e10) = e11 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_100]) ).
cnf(c_0_267,plain,
( op1(e12,e12) != e11
| op1(e12,e10) != e12
| op1(e12,e12) != e13 ),
inference(spm,[status(thm)],[c_0_202,c_0_248]) ).
cnf(c_0_268,plain,
op1(e12,e11) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_269,negated_conjecture,
( op2(e23,e21) = e21
| op2(e23,e23) = e21
| op2(e20,e23) != e20
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_229,c_0_249]) ).
cnf(c_0_270,plain,
( op2(e23,e21) = e23
| op2(e23,e20) = e20
| op2(e20,e23) != e20
| op2(e22,e23) != e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_24]) ).
cnf(c_0_271,plain,
( op2(e23,e20) = e20
| op2(e20,e22) != e20
| op2(e21,e23) != e20 ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_272,plain,
( op2(e23,e20) = e22
| op2(e20,e22) != e22
| op2(e22,e23) != e22 ),
inference(spm,[status(thm)],[c_0_252,c_0_254]) ).
cnf(c_0_273,plain,
( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21 ),
inference(sr,[status(thm)],[c_0_255,c_0_160]) ).
cnf(c_0_274,plain,
( op2(e21,e23) = e20
| op2(e20,e23) = e20
| op2(e20,e22) != e22 ),
inference(spm,[status(thm)],[c_0_256,c_0_257]) ).
cnf(c_0_275,plain,
( op2(e20,e20) = e20
| op2(e23,e23) = e22
| op2(e20,e23) != e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_156]),c_0_162]) ).
cnf(c_0_276,plain,
( op2(e20,e20) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 ),
inference(spm,[status(thm)],[c_0_259,c_0_166]) ).
cnf(c_0_277,plain,
( op2(e20,e20) = e20
| op2(e21,e23) != e20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_262]) ).
cnf(c_0_278,plain,
op2(e23,e20) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_279,plain,
( op2(e23,e20) = e21
| op2(e20,e20) != e20
| op2(e22,e20) != e22 ),
inference(spm,[status(thm)],[c_0_263,c_0_264]) ).
cnf(c_0_280,negated_conjecture,
( op2(e23,e21) = e21
| op2(e23,e23) = e21
| op2(e21,e23) != e20
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_233,c_0_249]) ).
cnf(c_0_281,plain,
( op1(op1(e11,e10),op1(e11,e10)) = e11
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e13,e12),op1(e13,e12)) = e13
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_282,plain,
( op1(e12,e10) = e11
| op1(e12,e12) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_247]),c_0_100]) ).
cnf(c_0_283,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e13
| op1(e12,e10) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_266]),c_0_76]),c_0_79]) ).
cnf(c_0_284,plain,
( op1(e12,e10) = e11
| op1(e12,e12) != e11
| op1(e12,e12) != e13 ),
inference(spm,[status(thm)],[c_0_267,c_0_201]) ).
cnf(c_0_285,plain,
( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_286,plain,
op1(e13,e11) != e10,
inference(rw,[status(thm)],[c_0_268,c_0_29]) ).
cnf(c_0_287,plain,
( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_288,plain,
( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_289,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_290,negated_conjecture,
( op2(e23,e21) = e21
| op2(e20,e23) != e21
| op2(e20,e23) != e20
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_229,c_0_269]) ).
cnf(c_0_291,plain,
( op2(e23,e21) = e23
| op2(e20,e20) != e20
| op2(e20,e23) != e20
| op2(e22,e23) != e23 ),
inference(spm,[status(thm)],[c_0_263,c_0_270]) ).
cnf(c_0_292,plain,
( op2(e20,e22) != e20
| op2(e21,e23) != e20
| op2(e20,e22) != e22
| op2(e22,e23) != e22 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_43]) ).
cnf(c_0_293,plain,
( op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e20,e23) != e23 ),
inference(spm,[status(thm)],[c_0_136,c_0_273]) ).
cnf(c_0_294,plain,
( op2(e21,e23) = e20
| op2(e20,e22) != e20
| op2(e20,e22) != e22 ),
inference(spm,[status(thm)],[c_0_256,c_0_274]) ).
cnf(c_0_295,plain,
( op2(e23,e20) = e20
| op2(e20,e22) != e20
| op2(e20,e23) != e20 ),
inference(spm,[status(thm)],[c_0_252,c_0_250]) ).
cnf(c_0_296,plain,
( op2(e20,e20) = e20
| op2(e20,e23) = e20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_275]),c_0_43]),c_0_276]),c_0_277]) ).
cnf(c_0_297,plain,
op2(e20,e20) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_298,plain,
( op2(e23,e21) != e21
| op2(e20,e20) != e20
| op2(e22,e20) != e22 ),
inference(spm,[status(thm)],[c_0_278,c_0_279]) ).
cnf(c_0_299,negated_conjecture,
( op2(e23,e21) = e21
| op2(e22,e23) != e21
| op2(e21,e23) != e20
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_231,c_0_280]) ).
cnf(c_0_300,plain,
( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(e12,e12) = e11
| op1(e13,e13) = e11
| ~ epred1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_281,c_0_38]),c_0_38]),c_0_21]),c_0_21]) ).
cnf(c_0_301,plain,
( op1(e12,e12) = e13
| op1(e12,e10) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_79]),c_0_115]) ).
cnf(c_0_302,plain,
( op1(e12,e12) != e11
| op1(e12,e12) != e13 ),
inference(spm,[status(thm)],[c_0_200,c_0_284]) ).
cnf(c_0_303,plain,
op1(e11,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_304,plain,
( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e10) = e10 ),
inference(sr,[status(thm)],[c_0_285,c_0_286]) ).
cnf(c_0_305,plain,
( op1(e13,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(sr,[status(thm)],[c_0_287,c_0_180]) ).
cnf(c_0_306,plain,
( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e10,e13) = e12 ),
inference(sr,[status(thm)],[c_0_288,c_0_36]) ).
cnf(c_0_307,plain,
( op1(e10,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(sr,[status(thm)],[c_0_289,c_0_48]) ).
cnf(c_0_308,plain,
( op2(op2(e23,e20),op2(e23,e20)) = e23
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e20,e22),op2(e20,e22)) = e20
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_309,negated_conjecture,
( op2(e20,e23) != e21
| op2(e20,e23) != e20
| op2(e20,e20) != e20
| op2(e22,e23) != e23
| ~ epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_162]) ).
cnf(c_0_310,plain,
( op2(e22,e23) = e21
| op2(e20,e22) != e20
| op2(e20,e22) != e22
| op2(e20,e23) != e23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_294]) ).
cnf(c_0_311,plain,
( op2(e20,e20) != e20
| op2(e20,e22) != e20
| op2(e20,e23) != e20 ),
inference(spm,[status(thm)],[c_0_263,c_0_295]) ).
cnf(c_0_312,plain,
( op2(e20,e20) = e20
| op2(e20,e22) != e20 ),
inference(spm,[status(thm)],[c_0_256,c_0_296]) ).
cnf(c_0_313,plain,
( op2(e21,e23) = e20
| op2(e20,e23) = e20
| op2(e20,e20) != e22 ),
inference(spm,[status(thm)],[c_0_297,c_0_257]) ).
cnf(c_0_314,negated_conjecture,
( op2(e20,e20) != e20
| op2(e22,e20) != e22
| op2(e22,e23) != e21
| op2(e21,e23) != e20
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_298,c_0_299]) ).
cnf(c_0_315,plain,
( op2(e20,e20) != e20
| op2(e20,e22) != e20
| op2(e21,e23) != e20 ),
inference(spm,[status(thm)],[c_0_263,c_0_271]) ).
cnf(c_0_316,plain,
op2(e20,e21) != op2(e20,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_317,plain,
( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_318,plain,
( op1(op1(e13,e10),op1(e13,e10)) = e13
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e10,e12),op1(e10,e12)) = e10
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_319,plain,
( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(e13,e13) = e11
| op1(e12,e12) = e11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_300,c_0_146])]) ).
cnf(c_0_320,plain,
op1(e12,e12) != e11,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_301]),c_0_302]) ).
cnf(c_0_321,plain,
op1(e10,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_322,plain,
( op1(e13,e10) = e10
| op1(e13,e12) = e10
| op1(e11,e13) != e10 ),
inference(spm,[status(thm)],[c_0_303,c_0_304]) ).
cnf(c_0_323,plain,
( op1(e10,e13) = e12
| op1(e12,e13) = e12
| op1(e10,e13) = e10
| op1(e11,e13) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_76]) ).
cnf(c_0_324,plain,
( op1(e12,e13) = e13
| op1(e10,e13) = e13
| op1(e10,e13) = e10
| op1(e11,e13) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_307]),c_0_75]) ).
cnf(c_0_325,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(e20,e20) = e20
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_166]),c_0_158]) ).
cnf(c_0_326,negated_conjecture,
( op2(e20,e23) != e21
| op2(e20,e23) != e20
| op2(e20,e22) != e20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_311]),c_0_311]),c_0_311]),c_0_311]),c_0_312]) ).
cnf(c_0_327,plain,
( op2(e21,e23) = e20
| op2(e20,e22) != e20
| op2(e20,e20) != e22 ),
inference(spm,[status(thm)],[c_0_256,c_0_313]) ).
cnf(c_0_328,negated_conjecture,
( op2(e21,e23) != e20
| op2(e20,e22) != e20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_310]),c_0_315]),c_0_315]),c_0_315]),c_0_315]),c_0_277]) ).
cnf(c_0_329,plain,
op2(e20,e20) != op2(e20,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_330,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e21) != e23 ),
inference(spm,[status(thm)],[c_0_316,c_0_317]) ).
cnf(c_0_331,plain,
( op2(e20,e20) = e22
| op2(e20,e22) = e22
| op2(e20,e20) = e20
| op2(e20,e22) = e20 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_43]) ).
cnf(c_0_332,plain,
( op1(op1(e13,e10),op1(e13,e10)) = e13
| op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(e12,e12) = e11
| ~ epred1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_318,c_0_21]),c_0_21]) ).
cnf(c_0_333,plain,
( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(e13,e13) = e11 ),
inference(sr,[status(thm)],[c_0_319,c_0_320]) ).
cnf(c_0_334,plain,
( op1(e13,e12) = e10
| op1(e10,e10) != e10
| op1(e11,e13) != e10 ),
inference(spm,[status(thm)],[c_0_321,c_0_322]) ).
cnf(c_0_335,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_336,plain,
( op1(e12,e13) = e13
| op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e12,e13) = e12 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_177]) ).
cnf(c_0_337,plain,
( op1(e10,e13) = e10
| op1(e12,e13) = e13
| op1(e11,e13) = e10
| op1(e12,e13) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_177]),c_0_75]) ).
cnf(c_0_338,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_339,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(e20,e20) = e20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_325,c_0_140])]) ).
cnf(c_0_340,plain,
( op2(e20,e22) != e20
| op2(e20,e20) != e22 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_313]),c_0_327]),c_0_328]) ).
cnf(c_0_341,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e20
| op2(e20,e20) != e22
| op2(e20,e21) != e23 ),
inference(spm,[status(thm)],[c_0_329,c_0_330]) ).
cnf(c_0_342,plain,
( op2(e20,e22) = e20
| op2(e20,e20) = e20
| op2(e20,e20) = e22 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_331]),c_0_94]) ).
cnf(c_0_343,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e13,e10),op1(e13,e10)) = e13
| op1(e12,e12) = e11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_332,c_0_146])]) ).
cnf(c_0_344,plain,
op1(e12,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_345,plain,
( op1(e13,e13) = e11
| op1(e10,e10) != e10
| op1(e11,e13) != e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_334]),c_0_245]) ).
cnf(c_0_346,plain,
op1(e10,e13) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_347,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e10) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_335,c_0_29]),c_0_115]) ).
cnf(c_0_348,plain,
( op1(e11,e13) = e10
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_337]),c_0_75]),c_0_76]) ).
cnf(c_0_349,plain,
( op2(e23,e21) = e23
| op2(e20,e21) = e23 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_338,c_0_16]),c_0_19]),c_0_70]),c_0_24]) ).
cnf(c_0_350,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(e20,e20) = e20
| op2(e20,e21) != e23 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_206]),c_0_16]),c_0_70]) ).
cnf(c_0_351,plain,
( op2(e20,e22) = e21
| op2(e20,e20) != e22
| op2(e20,e21) != e23 ),
inference(spm,[status(thm)],[c_0_340,c_0_341]) ).
cnf(c_0_352,plain,
( op2(e20,e20) = e22
| op2(e20,e20) = e20 ),
inference(spm,[status(thm)],[c_0_242,c_0_342]) ).
cnf(c_0_353,plain,
( op1(op1(e11,e10),op1(e11,e10)) = e11
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e11,e12),op1(e11,e12)) = e11
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_354,plain,
( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_355,plain,
op1(e11,e10) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_356,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(e10,e10) = e10
| op1(e12,e12) = e11 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_197]),c_0_245]) ).
cnf(c_0_357,plain,
( op1(e12,e13) != e11
| op1(e10,e10) != e10
| op1(e11,e13) != e10 ),
inference(spm,[status(thm)],[c_0_344,c_0_345]) ).
cnf(c_0_358,plain,
( op1(e10,e12) = e10
| op1(e10,e10) = e10
| op1(e11,e13) != e10 ),
inference(spm,[status(thm)],[c_0_346,c_0_103]) ).
cnf(c_0_359,plain,
( op1(e12,e13) = e12
| op1(e11,e13) = e10
| op1(e12,e10) = e11
| op1(e12,e12) = e11 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_348]),c_0_170]) ).
cnf(c_0_360,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(e20,e20) = e20
| op2(e23,e23) = e23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_349]),c_0_350]) ).
cnf(c_0_361,plain,
( op2(e20,e20) = e20
| op2(e20,e22) = e23
| op2(e20,e21) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_296]),c_0_24]) ).
cnf(c_0_362,plain,
( op2(e20,e20) = e20
| op2(e20,e21) != e23 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_351]),c_0_16]),c_0_43]),c_0_352]) ).
cnf(c_0_363,plain,
( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11
| ~ epred1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_353,c_0_38]),c_0_38]),c_0_21]),c_0_21]) ).
cnf(c_0_364,plain,
( op1(e11,e12) = e13
| op1(e11,e12) = e11
| op1(e11,e12) = e10 ),
inference(sr,[status(thm)],[c_0_354,c_0_148]) ).
cnf(c_0_365,plain,
op1(e11,e12) != e13,
inference(rw,[status(thm)],[c_0_355,c_0_38]) ).
cnf(c_0_366,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[c_0_356,c_0_320]) ).
cnf(c_0_367,plain,
( op1(e10,e12) = e10
| op1(e12,e13) != e11
| op1(e11,e13) != e10 ),
inference(spm,[status(thm)],[c_0_357,c_0_358]) ).
cnf(c_0_368,plain,
( op1(e11,e13) = e10
| op1(e12,e10) = e11
| op1(e12,e12) = e11 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_359]),c_0_79]) ).
cnf(c_0_369,plain,
( op2(e23,e23) = e23
| op2(e20,e20) = e20
| op2(e23,e23) = e20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_361]),c_0_362]) ).
cnf(c_0_370,plain,
op1(e11,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_371,plain,
( op1(op1(e13,e10),op1(e13,e10)) = e13
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e11,e12),op1(e11,e12)) = e11
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_372,plain,
( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(e13,e13) = e11
| op1(e12,e12) = e11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_363,c_0_146])]) ).
cnf(c_0_373,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11 ),
inference(sr,[status(thm)],[c_0_364,c_0_365]) ).
cnf(c_0_374,plain,
( op1(e12,e13) != e11
| op1(e11,e13) != e10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_367]),c_0_357]) ).
cnf(c_0_375,plain,
( op1(e12,e10) = e11
| op1(e12,e13) = e11 ),
inference(sr,[status(thm)],[c_0_347,c_0_320]) ).
cnf(c_0_376,plain,
( op1(e12,e10) = e11
| op1(e11,e13) = e10 ),
inference(sr,[status(thm)],[c_0_368,c_0_320]) ).
cnf(c_0_377,plain,
( op2(e23,e23) = e20
| op2(e20,e20) = e20
| op2(e22,e23) != e23 ),
inference(spm,[status(thm)],[c_0_231,c_0_369]) ).
cnf(c_0_378,plain,
op2(e21,e21) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_379,plain,
op1(e11,e11) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_380,plain,
( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_381,plain,
op1(e13,e10) != e13,
inference(rw,[status(thm)],[c_0_370,c_0_38]) ).
cnf(c_0_382,plain,
( op1(op1(e13,e10),op1(e13,e10)) = e13
| op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(e12,e12) = e11
| ~ epred1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_371,c_0_21]),c_0_21]) ).
cnf(c_0_383,plain,
( op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11
| op1(e10,e10) = e11 ),
inference(spm,[status(thm)],[c_0_372,c_0_373]) ).
cnf(c_0_384,plain,
op1(e10,e10) != op1(e12,e10),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_385,plain,
op1(e12,e10) = e11,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_375]),c_0_376]) ).
cnf(c_0_386,plain,
( op2(e20,e20) = e20
| op2(e22,e23) != e23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_377]),c_0_296]) ).
cnf(c_0_387,plain,
( op2(op2(e21,e20),op2(e21,e20)) = e21
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e23,e22),op2(e23,e22)) = e23
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_388,plain,
( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_389,plain,
( op2(op2(e21,e20),op2(e21,e20)) = e21
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e21,e22),op2(e21,e22)) = e21
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_390,plain,
( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_391,plain,
op2(e21,e22) != e22,
inference(rw,[status(thm)],[c_0_378,c_0_16]) ).
cnf(c_0_392,plain,
op2(e21,e20) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_393,plain,
( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_394,plain,
op1(e13,e11) != e12,
inference(rw,[status(thm)],[c_0_379,c_0_21]) ).
cnf(c_0_395,plain,
op1(e13,e10) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_396,plain,
op1(e10,e13) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_397,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_398,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12 ),
inference(sr,[status(thm)],[c_0_380,c_0_381]) ).
cnf(c_0_399,plain,
( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e13,e10),op1(e13,e10)) = e13
| op1(e12,e12) = e11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_382,c_0_146])]) ).
cnf(c_0_400,plain,
( op1(e10,e10) = e11
| op1(e13,e13) = e11
| op1(e11,e12) = e11 ),
inference(sr,[status(thm)],[c_0_383,c_0_320]) ).
cnf(c_0_401,plain,
op1(e10,e10) != e11,
inference(rw,[status(thm)],[c_0_384,c_0_385]) ).
cnf(c_0_402,plain,
( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_403,plain,
( op2(e22,e22) = e23
| op2(e20,e20) = e20 ),
inference(spm,[status(thm)],[c_0_386,c_0_45]) ).
cnf(c_0_404,plain,
( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(e20,e20) = e22
| op2(e23,e23) = e21
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_387,c_0_26]),c_0_26]),c_0_19]),c_0_19]) ).
cnf(c_0_405,plain,
( op2(e23,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 ),
inference(sr,[status(thm)],[c_0_388,c_0_94]) ).
cnf(c_0_406,plain,
( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(e20,e20) = e22
| op2(e23,e23) = e21
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_389,c_0_26]),c_0_26]),c_0_19]),c_0_19]) ).
cnf(c_0_407,plain,
( op2(e21,e22) = e23
| op2(e21,e22) = e21
| op2(e21,e22) = e20 ),
inference(sr,[status(thm)],[c_0_390,c_0_391]) ).
cnf(c_0_408,plain,
op2(e21,e22) != e23,
inference(rw,[status(thm)],[c_0_392,c_0_26]) ).
cnf(c_0_409,plain,
op1(e10,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_410,plain,
( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e10) = e12 ),
inference(sr,[status(thm)],[c_0_393,c_0_394]) ).
cnf(c_0_411,plain,
op1(e10,e11) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_412,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e13,e10) != e10 ),
inference(spm,[status(thm)],[c_0_395,c_0_305]) ).
cnf(c_0_413,plain,
op1(e10,e10) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_414,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e12,e13) != e13 ),
inference(spm,[status(thm)],[c_0_396,c_0_397]) ).
cnf(c_0_415,plain,
op1(e13,e10) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_416,plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e10,e10) != e10 ),
inference(spm,[status(thm)],[c_0_321,c_0_398]) ).
cnf(c_0_417,plain,
( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(e10,e10) = e10
| op1(e12,e12) = e11 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_197]),c_0_245]) ).
cnf(c_0_418,plain,
( op1(e11,e12) = e11
| op1(e13,e13) = e11 ),
inference(sr,[status(thm)],[c_0_400,c_0_401]) ).
cnf(c_0_419,plain,
( op1(e11,e13) = e11
| op1(e11,e12) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_402,c_0_38]),c_0_21]),c_0_170]),c_0_79]) ).
cnf(c_0_420,plain,
( op2(e20,e20) = e20
| op2(e23,e23) = e22 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_403]),c_0_162]) ).
cnf(c_0_421,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e23,e23) = e21
| op2(e20,e20) = e22
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_405]),c_0_158]) ).
cnf(c_0_422,plain,
( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(e23,e23) = e21
| op2(e20,e20) = e22 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_406,c_0_140])]) ).
cnf(c_0_423,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21 ),
inference(sr,[status(thm)],[c_0_407,c_0_408]) ).
cnf(c_0_424,plain,
( op1(e13,e10) = e12
| op1(e13,e12) = e12
| op1(e10,e13) != e12 ),
inference(spm,[status(thm)],[c_0_409,c_0_410]) ).
cnf(c_0_425,plain,
op1(e10,e12) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_426,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e11) != e13 ),
inference(spm,[status(thm)],[c_0_411,c_0_397]) ).
cnf(c_0_427,plain,
( op1(e10,e10) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(spm,[status(thm)],[c_0_412,c_0_197]) ).
cnf(c_0_428,plain,
( op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e10) != e10
| op1(e12,e13) != e13 ),
inference(spm,[status(thm)],[c_0_413,c_0_414]) ).
cnf(c_0_429,plain,
op1(e12,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_430,plain,
( op1(e13,e10) = e11
| op1(e13,e12) != e12
| op1(e10,e10) != e10 ),
inference(spm,[status(thm)],[c_0_415,c_0_416]) ).
cnf(c_0_431,plain,
( op1(op1(e13,e10),op1(e13,e10)) = e13
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e13,e12),op1(e13,e12)) = e13
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_432,plain,
op1(e11,e10) != op1(e11,e11),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_433,plain,
( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[c_0_417,c_0_320]) ).
cnf(c_0_434,plain,
op1(e11,e12) = e11,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_418]),c_0_419]) ).
cnf(c_0_435,plain,
op2(e20,e20) = e20,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_420]),c_0_70]),c_0_43]) ).
cnf(c_0_436,plain,
( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(e23,e23) = e21
| op2(e20,e20) = e22 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_404,c_0_140])]) ).
cnf(c_0_437,plain,
( op2(e23,e23) = e21
| op2(e23,e20) = e20
| op2(e23,e22) = e20
| op2(e20,e23) != e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_187]),c_0_43]) ).
cnf(c_0_438,plain,
( op2(op2(e23,e20),op2(e23,e20)) = e23
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e21,e22),op2(e21,e22)) = e21
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_439,plain,
( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_440,plain,
( op2(e20,e20) = e22
| op2(e23,e23) = e21
| op2(e21,e22) = e20
| op2(e20,e22) = e20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_421,c_0_140])]) ).
cnf(c_0_441,plain,
( op2(e21,e22) = e21
| op2(e20,e20) = e22
| op2(e23,e23) = e21
| op2(e20,e20) = e21 ),
inference(spm,[status(thm)],[c_0_422,c_0_423]) ).
cnf(c_0_442,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_443,plain,
( op1(e13,e12) = e12
| op1(e10,e10) != e12
| op1(e10,e13) != e12 ),
inference(spm,[status(thm)],[c_0_321,c_0_424]) ).
cnf(c_0_444,plain,
( op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e12) != e10
| op1(e10,e11) != e13 ),
inference(spm,[status(thm)],[c_0_425,c_0_426]) ).
cnf(c_0_445,plain,
op1(e10,e12) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_446,plain,
op1(e10,e10) != op1(e10,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_447,plain,
( op1(e11,e13) = e10
| op1(e10,e10) = e10
| op1(e10,e12) != e10 ),
inference(spm,[status(thm)],[c_0_425,c_0_427]) ).
cnf(c_0_448,plain,
( op1(e10,e13) != e11
| op1(e10,e10) != e10
| op1(e11,e13) != e10 ),
inference(spm,[status(thm)],[c_0_409,c_0_345]) ).
cnf(c_0_449,plain,
( op1(e10,e13) = e11
| op1(e10,e12) != e12
| op1(e10,e10) != e10
| op1(e12,e13) != e13 ),
inference(spm,[status(thm)],[c_0_425,c_0_428]) ).
cnf(c_0_450,plain,
( op1(e12,e10) != e11
| op1(e13,e12) != e12
| op1(e10,e10) != e10 ),
inference(spm,[status(thm)],[c_0_429,c_0_430]) ).
cnf(c_0_451,plain,
( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e13,e10),op1(e13,e10)) = e13
| op1(e10,e10) = e12
| ~ epred1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_431,c_0_29]),c_0_29]) ).
cnf(c_0_452,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_453,plain,
op1(e11,e10) != e12,
inference(rw,[status(thm)],[c_0_432,c_0_21]) ).
cnf(c_0_454,plain,
op1(e10,e10) = e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_433,c_0_434]),c_0_434]),c_0_21]),c_0_79]) ).
cnf(c_0_455,plain,
( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(e13,e13) = e11 ),
inference(sr,[status(thm)],[c_0_372,c_0_320]) ).
cnf(c_0_456,plain,
( op2(e22,e23) = e23
| op2(e20,e23) = e23
| op2(e23,e20) = e20
| op2(e23,e22) = e20 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_189]),c_0_24]) ).
cnf(c_0_457,plain,
op2(e23,e20) != e20,
inference(rw,[status(thm)],[c_0_263,c_0_435]) ).
cnf(c_0_458,plain,
( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(e23,e23) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_436,c_0_435]),c_0_43]) ).
cnf(c_0_459,plain,
( op2(e23,e20) = e20
| op2(e23,e22) = e20
| op2(e20,e23) != e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_437]),c_0_122]) ).
cnf(c_0_460,plain,
( op2(op2(e23,e20),op2(e23,e20)) = e23
| op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(e20,e20) = e22
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_438,c_0_19]),c_0_19]) ).
cnf(c_0_461,plain,
( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e20,e20) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_439,c_0_26]),c_0_70]) ).
cnf(c_0_462,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e20) = e22
| op2(e23,e20) != e21 ),
inference(spm,[status(thm)],[c_0_238,c_0_440]) ).
cnf(c_0_463,plain,
op2(e20,e22) != e20,
inference(rw,[status(thm)],[c_0_329,c_0_435]) ).
cnf(c_0_464,plain,
( op2(e23,e23) = e21
| op2(e21,e22) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_441,c_0_435]),c_0_435]),c_0_43]),c_0_122]) ).
cnf(c_0_465,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_442,c_0_26]),c_0_16]),c_0_162]),c_0_90]) ).
cnf(c_0_466,plain,
( op1(e10,e10) != e10
| op1(e11,e13) != e10
| op1(e10,e10) != e12
| op1(e10,e13) != e12 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_443]),c_0_76]) ).
cnf(c_0_467,plain,
( op1(e10,e13) = e11
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e10,e11) != e13 ),
inference(spm,[status(thm)],[c_0_413,c_0_444]) ).
cnf(c_0_468,plain,
( op1(e10,e12) != e10
| op1(e10,e10) != e10
| op1(e11,e13) != e10 ),
inference(spm,[status(thm)],[c_0_445,c_0_334]) ).
cnf(c_0_469,plain,
( op1(e11,e13) = e10
| op1(e10,e12) != e10 ),
inference(spm,[status(thm)],[c_0_446,c_0_447]) ).
cnf(c_0_470,plain,
( op1(e10,e10) != e10
| op1(e11,e13) != e10
| op1(e10,e12) != e12
| op1(e12,e13) != e13 ),
inference(spm,[status(thm)],[c_0_448,c_0_449]) ).
cnf(c_0_471,plain,
op1(e11,e13) = e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_434]),c_0_115]) ).
cnf(c_0_472,plain,
( op1(e10,e12) = e12
| op1(e12,e12) = e12
| op1(e12,e10) != e11
| op1(e10,e10) != e10 ),
inference(spm,[status(thm)],[c_0_450,c_0_174]) ).
cnf(c_0_473,plain,
( op1(op1(e13,e10),op1(e13,e10)) = e13
| op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(e10,e10) = e12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_451,c_0_146])]) ).
cnf(c_0_474,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e10,e10) = e12 ),
inference(sr,[status(thm)],[c_0_452,c_0_453]) ).
cnf(c_0_475,plain,
op1(e13,e10) != e10,
inference(rw,[status(thm)],[c_0_321,c_0_454]) ).
cnf(c_0_476,plain,
op1(e13,e13) = e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_455,c_0_434]),c_0_434]),c_0_21]),c_0_79]) ).
cnf(c_0_477,plain,
( op2(e23,e22) = e20
| op2(e20,e23) = e23
| op2(e22,e23) = e23 ),
inference(sr,[status(thm)],[c_0_456,c_0_457]) ).
cnf(c_0_478,plain,
( op2(e23,e23) = e21
| op2(e20,e23) != e23 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_459]),c_0_435]),c_0_24]),c_0_457]) ).
cnf(c_0_479,plain,
( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(e22,e20) = e22
| op2(e20,e20) = e22
| op2(e22,e22) = e23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_461]),c_0_69]) ).
cnf(c_0_480,plain,
( op2(e21,e22) = e20
| op2(e23,e20) != e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_462,c_0_435]),c_0_43]),c_0_463]) ).
cnf(c_0_481,plain,
op2(e21,e22) = e21,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_464]),c_0_465]) ).
fof(c_0_482,plain,
( ( 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 ) )
=> epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_83]) ).
cnf(c_0_483,plain,
( op1(e10,e10) != e10
| op1(e10,e12) != e10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_467]),c_0_468]),c_0_468]),c_0_468]),c_0_469]) ).
cnf(c_0_484,plain,
op1(e10,e12) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_485,plain,
( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_486,plain,
op1(e10,e12) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_487,plain,
( op1(e10,e12) != e12
| op1(e12,e13) != e13 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_470,c_0_454])]),c_0_471])]) ).
cnf(c_0_488,plain,
( op1(e12,e12) = e12
| op1(e10,e12) = e12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_472,c_0_385])]),c_0_454])]) ).
cnf(c_0_489,plain,
( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(e12,e10) = e12
| op1(e10,e10) = e12
| op1(e12,e12) = e13 ),
inference(spm,[status(thm)],[c_0_473,c_0_474]) ).
cnf(c_0_490,plain,
op1(e13,e12) = e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_304,c_0_475]),c_0_476]),c_0_115]) ).
cnf(c_0_491,plain,
op1(e12,e13) != e11,
inference(rw,[status(thm)],[c_0_225,c_0_385]) ).
cnf(c_0_492,plain,
( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_493,plain,
( op2(e22,e23) = e23
| op2(e23,e23) = e21 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_477]),c_0_435]),c_0_24]),c_0_478]) ).
cnf(c_0_494,plain,
( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(e22,e22) = e23
| op2(e22,e20) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_479,c_0_435]),c_0_43]) ).
cnf(c_0_495,plain,
op2(e23,e20) != e21,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_480,c_0_481]),c_0_122]) ).
cnf(c_0_496,plain,
( op2(e23,e20) = e21
| op2(e22,e20) != e22 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_279,c_0_435])]) ).
cnf(c_0_497,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
fof(c_0_498,plain,
( ( h2(e10) != e22
| h2(e10) != e21
| h2(e10) != e20
| 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))
| epred4_0 )
& ( h2(e11) != e22
| h2(e10) != e21
| h2(e10) != e20
| 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))
| epred4_0 )
& ( h2(e12) != e22
| h2(e10) != e21
| h2(e10) != e20
| 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))
| epred4_0 )
& ( h2(e13) != e22
| h2(e10) != e21
| h2(e10) != e20
| 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))
| epred4_0 )
& ( h2(e10) != e22
| h2(e11) != e21
| h2(e10) != e20
| 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))
| epred4_0 )
& ( h2(e11) != e22
| h2(e11) != e21
| h2(e10) != e20
| 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))
| epred4_0 )
& ( h2(e12) != e22
| h2(e11) != e21
| h2(e10) != e20
| 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))
| epred4_0 )
& ( h2(e13) != e22
| h2(e11) != e21
| h2(e10) != e20
| 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))
| epred4_0 )
& ( h2(e10) != e22
| h2(e12) != e21
| h2(e10) != e20
| 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))
| epred4_0 )
& ( h2(e11) != e22
| h2(e12) != e21
| h2(e10) != e20
| 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))
| epred4_0 )
& ( h2(e12) != e22
| h2(e12) != e21
| h2(e10) != e20
| 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))
| epred4_0 )
& ( h2(e13) != e22
| h2(e12) != e21
| h2(e10) != e20
| 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))
| epred4_0 )
& ( h2(e10) != e22
| h2(e13) != e21
| h2(e10) != e20
| 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))
| epred4_0 )
& ( h2(e11) != e22
| h2(e13) != e21
| h2(e10) != e20
| 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))
| epred4_0 )
& ( h2(e12) != e22
| h2(e13) != e21
| h2(e10) != e20
| 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))
| epred4_0 )
& ( h2(e13) != e22
| h2(e13) != e21
| h2(e10) != e20
| 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))
| epred4_0 )
& ( h2(e10) != e22
| h2(e10) != e21
| h2(e11) != e20
| 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))
| epred4_0 )
& ( h2(e11) != e22
| h2(e10) != e21
| h2(e11) != e20
| 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))
| epred4_0 )
& ( h2(e12) != e22
| h2(e10) != e21
| h2(e11) != e20
| 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))
| epred4_0 )
& ( h2(e13) != e22
| h2(e10) != e21
| h2(e11) != e20
| 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))
| epred4_0 )
& ( h2(e10) != e22
| h2(e11) != e21
| h2(e11) != e20
| 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))
| epred4_0 )
& ( h2(e11) != e22
| h2(e11) != e21
| h2(e11) != e20
| 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))
| epred4_0 )
& ( h2(e12) != e22
| h2(e11) != e21
| h2(e11) != e20
| 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))
| epred4_0 )
& ( h2(e13) != e22
| h2(e11) != e21
| h2(e11) != e20
| 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))
| epred4_0 )
& ( h2(e10) != e22
| h2(e12) != e21
| h2(e11) != e20
| 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))
| epred4_0 )
& ( h2(e11) != e22
| h2(e12) != e21
| h2(e11) != e20
| 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))
| epred4_0 )
& ( h2(e12) != e22
| h2(e12) != e21
| h2(e11) != e20
| 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))
| epred4_0 )
& ( h2(e13) != e22
| h2(e12) != e21
| h2(e11) != e20
| 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))
| epred4_0 )
& ( h2(e10) != e22
| h2(e13) != e21
| h2(e11) != e20
| 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))
| epred4_0 )
& ( h2(e11) != e22
| h2(e13) != e21
| h2(e11) != e20
| 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))
| epred4_0 )
& ( h2(e12) != e22
| h2(e13) != e21
| h2(e11) != e20
| 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))
| epred4_0 )
& ( h2(e13) != e22
| h2(e13) != e21
| h2(e11) != e20
| 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))
| epred4_0 )
& ( h2(e10) != e22
| h2(e10) != e21
| h2(e12) != e20
| 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))
| epred4_0 )
& ( h2(e11) != e22
| h2(e10) != e21
| h2(e12) != e20
| 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))
| epred4_0 )
& ( h2(e12) != e22
| h2(e10) != e21
| h2(e12) != e20
| 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))
| epred4_0 )
& ( h2(e13) != e22
| h2(e10) != e21
| h2(e12) != e20
| 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))
| epred4_0 )
& ( h2(e10) != e22
| h2(e11) != e21
| h2(e12) != e20
| 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))
| epred4_0 )
& ( h2(e11) != e22
| h2(e11) != e21
| h2(e12) != e20
| 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))
| epred4_0 )
& ( h2(e12) != e22
| h2(e11) != e21
| h2(e12) != e20
| 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))
| epred4_0 )
& ( h2(e13) != e22
| h2(e11) != e21
| h2(e12) != e20
| 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))
| epred4_0 )
& ( h2(e10) != e22
| h2(e12) != e21
| h2(e12) != e20
| 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))
| epred4_0 )
& ( h2(e11) != e22
| h2(e12) != e21
| h2(e12) != e20
| 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))
| epred4_0 )
& ( h2(e12) != e22
| h2(e12) != e21
| h2(e12) != e20
| 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))
| epred4_0 )
& ( h2(e13) != e22
| h2(e12) != e21
| h2(e12) != e20
| 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))
| epred4_0 )
& ( h2(e10) != e22
| h2(e13) != e21
| h2(e12) != e20
| 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))
| epred4_0 )
& ( h2(e11) != e22
| h2(e13) != e21
| h2(e12) != e20
| 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))
| epred4_0 )
& ( h2(e12) != e22
| h2(e13) != e21
| h2(e12) != e20
| 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))
| epred4_0 )
& ( h2(e13) != e22
| h2(e13) != e21
| h2(e12) != e20
| 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))
| epred4_0 )
& ( h2(e10) != e22
| h2(e10) != e21
| h2(e13) != e20
| 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))
| epred4_0 )
& ( h2(e11) != e22
| h2(e10) != e21
| h2(e13) != e20
| 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))
| epred4_0 )
& ( h2(e12) != e22
| h2(e10) != e21
| h2(e13) != e20
| 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))
| epred4_0 )
& ( h2(e13) != e22
| h2(e10) != e21
| h2(e13) != e20
| 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))
| epred4_0 )
& ( h2(e10) != e22
| h2(e11) != e21
| h2(e13) != e20
| 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))
| epred4_0 )
& ( h2(e11) != e22
| h2(e11) != e21
| h2(e13) != e20
| 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))
| epred4_0 )
& ( h2(e12) != e22
| h2(e11) != e21
| h2(e13) != e20
| 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))
| epred4_0 )
& ( h2(e13) != e22
| h2(e11) != e21
| h2(e13) != e20
| 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))
| epred4_0 )
& ( h2(e10) != e22
| h2(e12) != e21
| h2(e13) != e20
| 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))
| epred4_0 )
& ( h2(e11) != e22
| h2(e12) != e21
| h2(e13) != e20
| 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))
| epred4_0 )
& ( h2(e12) != e22
| h2(e12) != e21
| h2(e13) != e20
| 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))
| epred4_0 )
& ( h2(e13) != e22
| h2(e12) != e21
| h2(e13) != e20
| 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))
| epred4_0 )
& ( h2(e10) != e22
| h2(e13) != e21
| h2(e13) != e20
| 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))
| epred4_0 )
& ( h2(e11) != e22
| h2(e13) != e21
| h2(e13) != e20
| 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))
| epred4_0 )
& ( h2(e12) != e22
| h2(e13) != e21
| h2(e13) != e20
| 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))
| epred4_0 )
& ( h2(e13) != e22
| h2(e13) != e21
| h2(e13) != e20
| 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))
| epred4_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_482])]) ).
cnf(c_0_499,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_500,plain,
h2(e12) = op2(e21,e21),
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_501,plain,
h2(e13) = op2(e21,op2(op2(e21,e21),e21)),
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_502,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_503,plain,
op1(e13,e11) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_504,plain,
op1(e10,e12) != e10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_483,c_0_454])]) ).
cnf(c_0_505,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e12,e12) != e13 ),
inference(spm,[status(thm)],[c_0_484,c_0_485]) ).
cnf(c_0_506,plain,
op1(e10,e12) != e11,
inference(rw,[status(thm)],[c_0_486,c_0_434]) ).
cnf(c_0_507,plain,
( op1(e12,e12) = e12
| op1(e12,e13) != e13 ),
inference(spm,[status(thm)],[c_0_487,c_0_488]) ).
cnf(c_0_508,plain,
op1(e12,e12) = e13,
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(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_489,c_0_385]),c_0_79]),c_0_490]),c_0_490]),c_0_454]),c_0_454]),c_0_75]),c_0_76]) ).
cnf(c_0_509,plain,
( op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(sr,[status(thm)],[c_0_203,c_0_491]) ).
cnf(c_0_510,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_511,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_512,plain,
op2(e22,e22) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_513,plain,
( op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e20,e23) != e23 ),
inference(spm,[status(thm)],[c_0_229,c_0_232]) ).
cnf(c_0_514,plain,
( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e20,e22) = e22 ),
inference(sr,[status(thm)],[c_0_492,c_0_391]) ).
cnf(c_0_515,plain,
op2(e22,e22) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_516,plain,
( op2(e22,e23) = e23
| op2(e20,e23) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_493]),c_0_162]) ).
cnf(c_0_517,plain,
( op2(e22,e20) = e22
| op2(e22,e22) = e23 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_494,c_0_481]),c_0_481]),c_0_16]),c_0_90]) ).
cnf(c_0_518,plain,
op2(e22,e20) != e22,
inference(spm,[status(thm)],[c_0_495,c_0_496]) ).
cnf(c_0_519,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e20,e20) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_497,c_0_26]),c_0_162]) ).
cnf(c_0_520,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e20) = e22
| op2(e22,e23) != e21 ),
inference(spm,[status(thm)],[c_0_231,c_0_440]) ).
cnf(c_0_521,plain,
( epred4_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e10) != e20
| h2(e11) != e21
| h2(e12) != e22 ),
inference(split_conjunct,[status(thm)],[c_0_498]) ).
cnf(c_0_522,plain,
h2(e10) = e20,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_499,c_0_16]),c_0_19]) ).
cnf(c_0_523,plain,
h2(e11) = e21,
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_524,plain,
h2(e12) = e22,
inference(rw,[status(thm)],[c_0_500,c_0_16]) ).
cnf(c_0_525,plain,
h2(e13) = op2(e21,e20),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_501,c_0_16]),c_0_19]) ).
cnf(c_0_526,negated_conjecture,
( ~ epred4_0
| h2(e13) != e23 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_527,plain,
( op1(e13,e11) = e11
| op1(e10,e11) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_502,c_0_21]),c_0_29]),c_0_79]),c_0_115]) ).
cnf(c_0_528,plain,
op1(e13,e11) != e11,
inference(rw,[status(thm)],[c_0_503,c_0_476]) ).
cnf(c_0_529,plain,
( op1(e10,e12) = e12
| op1(e12,e12) != e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_505]),c_0_506]) ).
cnf(c_0_530,plain,
( op1(e12,e13) = e13
| op1(e10,e13) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_476]),c_0_170]) ).
cnf(c_0_531,plain,
op1(e12,e13) != e13,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_507,c_0_508]),c_0_177]) ).
cnf(c_0_532,plain,
( op1(e12,e13) = e12
| op1(e12,e12) != e13 ),
inference(spm,[status(thm)],[c_0_202,c_0_509]) ).
cnf(c_0_533,plain,
( op1(e10,e10) = e12
| op1(e13,e10) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_474,c_0_385]),c_0_79]) ).
cnf(c_0_534,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_510,c_0_286]),c_0_394]) ).
cnf(c_0_535,plain,
( op2(e23,e21) = e21
| op2(e20,e21) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_511,c_0_16]),c_0_19]),c_0_90]),c_0_122]) ).
cnf(c_0_536,plain,
( op2(e23,e21) = e23
| op2(e20,e23) != e23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_513]),c_0_156]) ).
cnf(c_0_537,plain,
( op2(e20,e22) = e22
| op2(e22,e22) = e22
| op2(e20,e22) = e20
| op2(e21,e22) = e20 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_514]),c_0_43]) ).
cnf(c_0_538,plain,
( op2(e20,e23) = e23
| op2(e22,e22) != e23 ),
inference(spm,[status(thm)],[c_0_515,c_0_516]) ).
cnf(c_0_539,plain,
op2(e22,e22) = e23,
inference(sr,[status(thm)],[c_0_517,c_0_518]) ).
cnf(c_0_540,plain,
( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(e20,e20) = e21
| op2(e22,e20) = e21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_519]),c_0_16]),c_0_70]),c_0_120]),c_0_261]) ).
cnf(c_0_541,plain,
( op2(e21,e22) = e20
| op2(e22,e23) != e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_520,c_0_435]),c_0_43]),c_0_463]) ).
cnf(c_0_542,plain,
( epred4_0
| h2(op1(e10,e10)) != op2(e20,e20)
| h2(op1(e10,e11)) != op2(e20,e21)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e12,e10)) != op2(e22,e20)
| h2(op1(e12,e12)) != op2(e22,e22)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e13)) != op2(e23,e23) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_521,c_0_522]),c_0_523]),c_0_524]),c_0_522]),c_0_522]),c_0_522]),c_0_523]),c_0_522]),c_0_524]),c_0_522]),c_0_525]),c_0_26]),c_0_523]),c_0_522]),c_0_26]),c_0_38]),c_0_525]),c_0_26]),c_0_523]),c_0_523]),c_0_16]),c_0_21]),c_0_524]),c_0_523]),c_0_524]),c_0_523]),c_0_525]),c_0_26]),c_0_524]),c_0_522]),c_0_524]),c_0_523]),c_0_19]),c_0_29]),c_0_522]),c_0_524]),c_0_524]),c_0_524]),c_0_525]),c_0_26]),c_0_525]),c_0_26]),c_0_522]),c_0_525]),c_0_26]),c_0_523]),c_0_525]),c_0_26]),c_0_524]),c_0_525]),c_0_26]),c_0_525]),c_0_26])]) ).
cnf(c_0_543,negated_conjecture,
~ epred4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_526,c_0_525]),c_0_26])]) ).
cnf(c_0_544,plain,
op1(e10,e11) = e11,
inference(sr,[status(thm)],[c_0_527,c_0_528]) ).
cnf(c_0_545,plain,
op1(e10,e12) = e12,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_529,c_0_508])]) ).
cnf(c_0_546,plain,
op1(e10,e13) = e13,
inference(sr,[status(thm)],[c_0_530,c_0_531]) ).
cnf(c_0_547,plain,
op1(e12,e13) = e12,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_532,c_0_508])]) ).
cnf(c_0_548,plain,
op1(e13,e10) = e12,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_533,c_0_454]),c_0_76]) ).
cnf(c_0_549,plain,
op1(e13,e11) = e13,
inference(sr,[status(thm)],[c_0_534,c_0_528]) ).
cnf(c_0_550,plain,
( op2(e23,e23) = e21
| op2(e23,e20) != e22
| op2(e20,e23) != e23 ),
inference(spm,[status(thm)],[c_0_238,c_0_187]) ).
cnf(c_0_551,plain,
( op2(e20,e21) = e21
| op2(e20,e23) != e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_535,c_0_536]),c_0_162]) ).
cnf(c_0_552,plain,
( op2(e20,e20) = e20
| op2(e20,e22) != e22
| op2(e22,e23) != e22 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_272]),c_0_43]) ).
cnf(c_0_553,plain,
( op2(e21,e22) = e20
| op2(e20,e22) = e20
| op2(e20,e22) = e22
| op2(e20,e23) != e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_537]),c_0_70]) ).
cnf(c_0_554,plain,
op2(e20,e23) = e23,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_538,c_0_539])]) ).
cnf(c_0_555,plain,
( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(e22,e20) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_540,c_0_435]),c_0_122]) ).
cnf(c_0_556,plain,
op2(e22,e23) != e21,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_541,c_0_481]),c_0_122]) ).
cnf(c_0_557,plain,
op2(e22,e23) != e23,
inference(rw,[status(thm)],[c_0_515,c_0_539]) ).
cnf(c_0_558,plain,
( op2(e21,e22) = e20
| op2(e23,e22) = e20 ),
inference(sr,[status(thm)],[c_0_405,c_0_463]) ).
cnf(c_0_559,plain,
( op2(e20,e22) != e22
| op2(e20,e23) != e23
| op2(e21,e22) != e21
| op2(e21,e23) != e20
| op2(e22,e20) != e21
| op2(e22,e23) != e22
| op2(e23,e22) != e20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_542,c_0_385]),c_0_523]),c_0_543]),c_0_454]),c_0_522]),c_0_544]),c_0_523]),c_0_545]),c_0_524]),c_0_546]),c_0_525]),c_0_26]),c_0_434]),c_0_523]),c_0_471]),c_0_522]),c_0_508]),c_0_525]),c_0_26]),c_0_547]),c_0_524]),c_0_548]),c_0_524]),c_0_549]),c_0_525]),c_0_26]),c_0_490]),c_0_522]),c_0_476]),c_0_523]),c_0_550]),c_0_536]),c_0_272]),c_0_156]),c_0_551]),c_0_552]) ).
cnf(c_0_560,plain,
op2(e20,e22) = e22,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_553,c_0_481]),c_0_122]),c_0_463]),c_0_554])]) ).
cnf(c_0_561,plain,
op2(e21,e23) = e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_481]),c_0_122]) ).
cnf(c_0_562,plain,
op2(e22,e20) = e21,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_555,c_0_481]),c_0_481]),c_0_16]),c_0_90]) ).
cnf(c_0_563,plain,
op2(e22,e23) = e22,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_273,c_0_556]),c_0_557]) ).
cnf(c_0_564,plain,
op2(e23,e22) = e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_558,c_0_481]),c_0_122]) ).
cnf(c_0_565,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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_559,c_0_481])]),c_0_560]),c_0_554]),c_0_561]),c_0_562]),c_0_563]),c_0_564])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ALG112+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.11 % Command : run_ET %s %d
% 0.10/0.31 % Computer : n028.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 600
% 0.10/0.31 % DateTime : Wed Jun 8 14:06:16 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.21/4.40 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.21/4.40 # Preprocessing time : 0.038 s
% 0.21/4.40
% 0.21/4.40 # Proof found!
% 0.21/4.40 # SZS status Theorem
% 0.21/4.40 # SZS output start CNFRefutation
% See solution above
% 0.21/4.40 # Proof object total steps : 566
% 0.21/4.40 # Proof object clause steps : 533
% 0.21/4.40 # Proof object formula steps : 33
% 0.21/4.40 # Proof object conjectures : 19
% 0.21/4.40 # Proof object clause conjectures : 16
% 0.21/4.40 # Proof object formula conjectures : 3
% 0.21/4.40 # Proof object initial clauses used : 172
% 0.21/4.40 # Proof object initial formulas used : 15
% 0.21/4.40 # Proof object generating inferences : 181
% 0.21/4.40 # Proof object simplifying inferences : 536
% 0.21/4.40 # Training examples: 0 positive, 0 negative
% 0.21/4.40 # Parsed axioms : 18
% 0.21/4.40 # Removed by relevancy pruning/SinE : 0
% 0.21/4.40 # Initial clauses : 650
% 0.21/4.40 # Removed in clause preprocessing : 0
% 0.21/4.40 # Initial clauses in saturation : 650
% 0.21/4.40 # Processed clauses : 17987
% 0.21/4.40 # ...of these trivial : 616
% 0.21/4.40 # ...subsumed : 13348
% 0.21/4.40 # ...remaining for further processing : 4022
% 0.21/4.40 # Other redundant clauses eliminated : 0
% 0.21/4.40 # Clauses deleted for lack of memory : 0
% 0.21/4.40 # Backward-subsumed : 1516
% 0.21/4.40 # Backward-rewritten : 2145
% 0.21/4.40 # Generated clauses : 151584
% 0.21/4.40 # ...of the previous two non-trivial : 127707
% 0.21/4.40 # Contextual simplify-reflections : 14085
% 0.21/4.40 # Paramodulations : 150897
% 0.21/4.40 # Factorizations : 415
% 0.21/4.40 # Equation resolutions : 0
% 0.21/4.40 # Current number of processed clauses : 89
% 0.21/4.40 # Positive orientable unit clauses : 48
% 0.21/4.40 # Positive unorientable unit clauses: 0
% 0.21/4.40 # Negative unit clauses : 34
% 0.21/4.40 # Non-unit-clauses : 7
% 0.21/4.40 # Current number of unprocessed clauses: 451
% 0.21/4.40 # ...number of literals in the above : 1978
% 0.21/4.40 # Current number of archived formulas : 0
% 0.21/4.40 # Current number of archived clauses : 3933
% 0.21/4.40 # Clause-clause subsumption calls (NU) : 6330446
% 0.21/4.40 # Rec. Clause-clause subsumption calls : 306238
% 0.21/4.40 # Non-unit clause-clause subsumptions : 21826
% 0.21/4.40 # Unit Clause-clause subsumption calls : 14906
% 0.21/4.40 # Rewrite failures with RHS unbound : 0
% 0.21/4.40 # BW rewrite match attempts : 44
% 0.21/4.40 # BW rewrite match successes : 44
% 0.21/4.40 # Condensation attempts : 0
% 0.21/4.40 # Condensation successes : 0
% 0.21/4.40 # Termbank termtop insertions : 3787656
% 0.21/4.40
% 0.21/4.40 # -------------------------------------------------
% 0.21/4.40 # User time : 3.752 s
% 0.21/4.40 # System time : 0.023 s
% 0.21/4.40 # Total time : 3.775 s
% 0.21/4.40 # Maximum resident set size: 41968 pages
% 0.21/23.37 eprover: CPU time limit exceeded, terminating
% 0.21/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.38 eprover: No such file or directory
% 0.21/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.39 eprover: No such file or directory
% 0.21/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.39 eprover: No such file or directory
% 0.21/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.40 eprover: No such file or directory
% 0.21/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.40 eprover: No such file or directory
% 0.21/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.41 eprover: No such file or directory
% 0.21/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.41 eprover: No such file or directory
% 0.21/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.42 eprover: No such file or directory
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44 eprover: No such file or directory
%------------------------------------------------------------------------------