TSTP Solution File: ALG107+1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ALG107+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat May 4 07:19:01 EDT 2024
% Result : Theorem 0.51s 0.75s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 20
% Syntax : Number of formulae : 425 ( 145 unt; 0 def)
% Number of atoms : 3821 (3528 equ)
% Maximal formula atoms : 1280 ( 8 avg)
% Number of connectives : 5330 (1934 ~;2530 |; 857 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 84 ( 5 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(ax12,axiom,
( e10 = op1(e12,e12)
& e11 = op1(e12,op1(e12,e12))
& e13 = op1(op1(e12,op1(e12,e12)),op1(e12,e12)) ),
file('/export/starexec/sandbox/tmp/tmp.AXSixAlta8/E---3.1_25922.p',ax12) ).
fof(ax7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox/tmp/tmp.AXSixAlta8/E---3.1_25922.p',ax7) ).
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/tmp/tmp.AXSixAlta8/E---3.1_25922.p',ax5) ).
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/tmp/tmp.AXSixAlta8/E---3.1_25922.p',ax6) ).
fof(ax13,axiom,
( e20 = op2(e22,e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),
file('/export/starexec/sandbox/tmp/tmp.AXSixAlta8/E---3.1_25922.p',ax13) ).
fof(ax10,axiom,
( ( op1(e10,op1(e10,e10)) = e10
& op1(e11,op1(e10,e11)) = e11
& op1(e12,op1(e10,e12)) = e12
& op1(e13,op1(e10,e13)) = e13 )
| ( op1(e10,op1(e11,e10)) = e10
& op1(e11,op1(e11,e11)) = e11
& op1(e12,op1(e11,e12)) = e12
& op1(e13,op1(e11,e13)) = e13 )
| ( op1(e10,op1(e12,e10)) = e10
& op1(e11,op1(e12,e11)) = e11
& op1(e12,op1(e12,e12)) = e12
& op1(e13,op1(e12,e13)) = e13 )
| ( op1(e10,op1(e13,e10)) = e10
& op1(e11,op1(e13,e11)) = e11
& op1(e12,op1(e13,e12)) = e12
& op1(e13,op1(e13,e13)) = e13 ) ),
file('/export/starexec/sandbox/tmp/tmp.AXSixAlta8/E---3.1_25922.p',ax10) ).
fof(ax8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox/tmp/tmp.AXSixAlta8/E---3.1_25922.p',ax8) ).
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/tmp/tmp.AXSixAlta8/E---3.1_25922.p',ax2) ).
fof(ax11,axiom,
( ( op2(e20,op2(e20,e20)) = e20
& op2(e21,op2(e20,e21)) = e21
& op2(e22,op2(e20,e22)) = e22
& op2(e23,op2(e20,e23)) = e23 )
| ( op2(e20,op2(e21,e20)) = e20
& op2(e21,op2(e21,e21)) = e21
& op2(e22,op2(e21,e22)) = e22
& op2(e23,op2(e21,e23)) = e23 )
| ( op2(e20,op2(e22,e20)) = e20
& op2(e21,op2(e22,e21)) = e21
& op2(e22,op2(e22,e22)) = e22
& op2(e23,op2(e22,e23)) = e23 )
| ( op2(e20,op2(e23,e20)) = e20
& op2(e21,op2(e23,e21)) = e21
& op2(e22,op2(e23,e22)) = e22
& op2(e23,op2(e23,e23)) = e23 ) ),
file('/export/starexec/sandbox/tmp/tmp.AXSixAlta8/E---3.1_25922.p',ax11) ).
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/tmp/tmp.AXSixAlta8/E---3.1_25922.p',ax3) ).
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/tmp/tmp.AXSixAlta8/E---3.1_25922.p',ax4) ).
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/tmp/tmp.AXSixAlta8/E---3.1_25922.p',ax1) ).
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/tmp/tmp.AXSixAlta8/E---3.1_25922.p',co1) ).
fof(ax15,axiom,
( h2(e12) = e21
& h2(e10) = op2(e21,e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e13) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)) ),
file('/export/starexec/sandbox/tmp/tmp.AXSixAlta8/E---3.1_25922.p',ax15) ).
fof(c_0_14,plain,
( epred1_0
<=> ( ( op1(e10,op1(e10,e10)) = e10
& op1(e11,op1(e10,e11)) = e11
& op1(e12,op1(e10,e12)) = e12
& op1(e13,op1(e10,e13)) = e13 )
| ( op1(e10,op1(e11,e10)) = e10
& op1(e11,op1(e11,e11)) = e11
& op1(e12,op1(e11,e12)) = e12
& op1(e13,op1(e11,e13)) = e13 )
| ( op1(e10,op1(e12,e10)) = e10
& op1(e11,op1(e12,e11)) = e11
& op1(e12,op1(e12,e12)) = e12
& op1(e13,op1(e12,e13)) = e13 ) ) ),
introduced(definition) ).
cnf(c_0_15,plain,
e11 = op1(e12,op1(e12,e12)),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_16,plain,
e10 = op1(e12,e12),
inference(split_conjunct,[status(thm)],[ax12]) ).
fof(c_0_17,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(fof_simplification,[status(thm)],[ax7]) ).
fof(c_0_18,plain,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
inference(fof_simplification,[status(thm)],[ax5]) ).
fof(c_0_19,plain,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
inference(fof_simplification,[status(thm)],[ax6]) ).
cnf(c_0_20,plain,
e21 = op2(e22,op2(e22,e22)),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_21,plain,
e20 = op2(e22,e22),
inference(split_conjunct,[status(thm)],[ax13]) ).
fof(c_0_22,axiom,
( epred1_0
| ( op1(e10,op1(e13,e10)) = e10
& op1(e11,op1(e13,e11)) = e11
& op1(e12,op1(e13,e12)) = e12
& op1(e13,op1(e13,e13)) = e13 ) ),
inference(apply_def,[status(thm)],[ax10,c_0_14]) ).
cnf(c_0_23,plain,
e13 = op1(op1(e12,op1(e12,e12)),op1(e12,e12)),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_24,plain,
op1(e12,e10) = e11,
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_25,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(fof_nnf,[status(thm)],[c_0_17]) ).
fof(c_0_26,plain,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
inference(fof_nnf,[status(thm)],[c_0_18]) ).
fof(c_0_27,plain,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
inference(fof_nnf,[status(thm)],[c_0_19]) ).
cnf(c_0_28,plain,
e23 = op2(op2(e22,op2(e22,e22)),op2(e22,e22)),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_29,plain,
op2(e22,e20) = e21,
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_30,plain,
( epred2_0
<=> ( ( op2(e20,op2(e20,e20)) = e20
& op2(e21,op2(e20,e21)) = e21
& op2(e22,op2(e20,e22)) = e22
& op2(e23,op2(e20,e23)) = e23 )
| ( op2(e20,op2(e21,e20)) = e20
& op2(e21,op2(e21,e21)) = e21
& op2(e22,op2(e21,e22)) = e22
& op2(e23,op2(e21,e23)) = e23 )
| ( op2(e20,op2(e22,e20)) = e20
& op2(e21,op2(e22,e21)) = e21
& op2(e22,op2(e22,e22)) = e22
& op2(e23,op2(e22,e23)) = e23 ) ) ),
introduced(definition) ).
fof(c_0_31,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(fof_simplification,[status(thm)],[ax8]) ).
fof(c_0_32,plain,
( epred1_0
=> ( ( op1(e10,op1(e10,e10)) = e10
& op1(e11,op1(e10,e11)) = e11
& op1(e12,op1(e10,e12)) = e12
& op1(e13,op1(e10,e13)) = e13 )
| ( op1(e10,op1(e11,e10)) = e10
& op1(e11,op1(e11,e11)) = e11
& op1(e12,op1(e11,e12)) = e12
& op1(e13,op1(e11,e13)) = e13 )
| ( op1(e10,op1(e12,e10)) = e10
& op1(e11,op1(e12,e11)) = e11
& op1(e12,op1(e12,e12)) = e12
& op1(e13,op1(e12,e13)) = e13 ) ) ),
inference(split_equiv,[status(thm)],[c_0_14]) ).
fof(c_0_33,plain,
( ( op1(e10,op1(e13,e10)) = e10
| epred1_0 )
& ( op1(e11,op1(e13,e11)) = e11
| epred1_0 )
& ( op1(e12,op1(e13,e12)) = e12
| epred1_0 )
& ( op1(e13,op1(e13,e13)) = e13
| epred1_0 ) ),
inference(distribute,[status(thm)],[c_0_22]) ).
cnf(c_0_34,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_35,plain,
op1(e11,e10) = e13,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_16]),c_0_24]),c_0_16]) ).
cnf(c_0_36,plain,
e12 != e13,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_37,plain,
e11 != e12,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_38,plain,
op1(e10,e12) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_39,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_40,plain,
e10 != e13,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_41,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_42,plain,
op2(e22,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_43,plain,
op2(e21,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_44,plain,
op2(e21,e20) = e23,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_21]),c_0_29]),c_0_21]) ).
fof(c_0_45,axiom,
( epred2_0
| ( op2(e20,op2(e23,e20)) = e20
& op2(e21,op2(e23,e21)) = e21
& op2(e22,op2(e23,e22)) = e22
& op2(e23,op2(e23,e23)) = e23 ) ),
inference(apply_def,[status(thm)],[ax11,c_0_30]) ).
fof(c_0_46,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(fof_nnf,[status(thm)],[c_0_31]) ).
fof(c_0_47,plain,
( ( op1(e10,op1(e12,e10)) = e10
| op1(e10,op1(e11,e10)) = e10
| op1(e10,op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(e11,op1(e12,e11)) = e11
| op1(e10,op1(e11,e10)) = e10
| op1(e10,op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) = e12
| op1(e10,op1(e11,e10)) = e10
| op1(e10,op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(e13,op1(e12,e13)) = e13
| op1(e10,op1(e11,e10)) = e10
| op1(e10,op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(e10,op1(e12,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e10,op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(e11,op1(e12,e11)) = e11
| op1(e11,op1(e11,e11)) = e11
| op1(e10,op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e10,op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(e13,op1(e12,e13)) = e13
| op1(e11,op1(e11,e11)) = e11
| op1(e10,op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(e10,op1(e12,e10)) = e10
| op1(e12,op1(e11,e12)) = e12
| op1(e10,op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(e11,op1(e12,e11)) = e11
| op1(e12,op1(e11,e12)) = e12
| op1(e10,op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e11,e12)) = e12
| op1(e10,op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(e13,op1(e12,e13)) = e13
| op1(e12,op1(e11,e12)) = e12
| op1(e10,op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(e10,op1(e12,e10)) = e10
| op1(e13,op1(e11,e13)) = e13
| op1(e10,op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(e11,op1(e12,e11)) = e11
| op1(e13,op1(e11,e13)) = e13
| op1(e10,op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) = e12
| op1(e13,op1(e11,e13)) = e13
| op1(e10,op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(e13,op1(e12,e13)) = e13
| op1(e13,op1(e11,e13)) = e13
| op1(e10,op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(e10,op1(e12,e10)) = e10
| op1(e10,op1(e11,e10)) = e10
| op1(e11,op1(e10,e11)) = e11
| ~ epred1_0 )
& ( op1(e11,op1(e12,e11)) = e11
| op1(e10,op1(e11,e10)) = e10
| op1(e11,op1(e10,e11)) = e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) = e12
| op1(e10,op1(e11,e10)) = e10
| op1(e11,op1(e10,e11)) = e11
| ~ epred1_0 )
& ( op1(e13,op1(e12,e13)) = e13
| op1(e10,op1(e11,e10)) = e10
| op1(e11,op1(e10,e11)) = e11
| ~ epred1_0 )
& ( op1(e10,op1(e12,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e10,e11)) = e11
| ~ epred1_0 )
& ( op1(e11,op1(e12,e11)) = e11
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e10,e11)) = e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e10,e11)) = e11
| ~ epred1_0 )
& ( op1(e13,op1(e12,e13)) = e13
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e10,e11)) = e11
| ~ epred1_0 )
& ( op1(e10,op1(e12,e10)) = e10
| op1(e12,op1(e11,e12)) = e12
| op1(e11,op1(e10,e11)) = e11
| ~ epred1_0 )
& ( op1(e11,op1(e12,e11)) = e11
| op1(e12,op1(e11,e12)) = e12
| op1(e11,op1(e10,e11)) = e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e11,e12)) = e12
| op1(e11,op1(e10,e11)) = e11
| ~ epred1_0 )
& ( op1(e13,op1(e12,e13)) = e13
| op1(e12,op1(e11,e12)) = e12
| op1(e11,op1(e10,e11)) = e11
| ~ epred1_0 )
& ( op1(e10,op1(e12,e10)) = e10
| op1(e13,op1(e11,e13)) = e13
| op1(e11,op1(e10,e11)) = e11
| ~ epred1_0 )
& ( op1(e11,op1(e12,e11)) = e11
| op1(e13,op1(e11,e13)) = e13
| op1(e11,op1(e10,e11)) = e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) = e12
| op1(e13,op1(e11,e13)) = e13
| op1(e11,op1(e10,e11)) = e11
| ~ epred1_0 )
& ( op1(e13,op1(e12,e13)) = e13
| op1(e13,op1(e11,e13)) = e13
| op1(e11,op1(e10,e11)) = e11
| ~ epred1_0 )
& ( op1(e10,op1(e12,e10)) = e10
| op1(e10,op1(e11,e10)) = e10
| op1(e12,op1(e10,e12)) = e12
| ~ epred1_0 )
& ( op1(e11,op1(e12,e11)) = e11
| op1(e10,op1(e11,e10)) = e10
| op1(e12,op1(e10,e12)) = e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) = e12
| op1(e10,op1(e11,e10)) = e10
| op1(e12,op1(e10,e12)) = e12
| ~ epred1_0 )
& ( op1(e13,op1(e12,e13)) = e13
| op1(e10,op1(e11,e10)) = e10
| op1(e12,op1(e10,e12)) = e12
| ~ epred1_0 )
& ( op1(e10,op1(e12,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e12,op1(e10,e12)) = e12
| ~ epred1_0 )
& ( op1(e11,op1(e12,e11)) = e11
| op1(e11,op1(e11,e11)) = e11
| op1(e12,op1(e10,e12)) = e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e12,op1(e10,e12)) = e12
| ~ epred1_0 )
& ( op1(e13,op1(e12,e13)) = e13
| op1(e11,op1(e11,e11)) = e11
| op1(e12,op1(e10,e12)) = e12
| ~ epred1_0 )
& ( op1(e10,op1(e12,e10)) = e10
| op1(e12,op1(e11,e12)) = e12
| op1(e12,op1(e10,e12)) = e12
| ~ epred1_0 )
& ( op1(e11,op1(e12,e11)) = e11
| op1(e12,op1(e11,e12)) = e12
| op1(e12,op1(e10,e12)) = e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e11,e12)) = e12
| op1(e12,op1(e10,e12)) = e12
| ~ epred1_0 )
& ( op1(e13,op1(e12,e13)) = e13
| op1(e12,op1(e11,e12)) = e12
| op1(e12,op1(e10,e12)) = e12
| ~ epred1_0 )
& ( op1(e10,op1(e12,e10)) = e10
| op1(e13,op1(e11,e13)) = e13
| op1(e12,op1(e10,e12)) = e12
| ~ epred1_0 )
& ( op1(e11,op1(e12,e11)) = e11
| op1(e13,op1(e11,e13)) = e13
| op1(e12,op1(e10,e12)) = e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) = e12
| op1(e13,op1(e11,e13)) = e13
| op1(e12,op1(e10,e12)) = e12
| ~ epred1_0 )
& ( op1(e13,op1(e12,e13)) = e13
| op1(e13,op1(e11,e13)) = e13
| op1(e12,op1(e10,e12)) = e12
| ~ epred1_0 )
& ( op1(e10,op1(e12,e10)) = e10
| op1(e10,op1(e11,e10)) = e10
| op1(e13,op1(e10,e13)) = e13
| ~ epred1_0 )
& ( op1(e11,op1(e12,e11)) = e11
| op1(e10,op1(e11,e10)) = e10
| op1(e13,op1(e10,e13)) = e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) = e12
| op1(e10,op1(e11,e10)) = e10
| op1(e13,op1(e10,e13)) = e13
| ~ epred1_0 )
& ( op1(e13,op1(e12,e13)) = e13
| op1(e10,op1(e11,e10)) = e10
| op1(e13,op1(e10,e13)) = e13
| ~ epred1_0 )
& ( op1(e10,op1(e12,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e13,op1(e10,e13)) = e13
| ~ epred1_0 )
& ( op1(e11,op1(e12,e11)) = e11
| op1(e11,op1(e11,e11)) = e11
| op1(e13,op1(e10,e13)) = e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e13,op1(e10,e13)) = e13
| ~ epred1_0 )
& ( op1(e13,op1(e12,e13)) = e13
| op1(e11,op1(e11,e11)) = e11
| op1(e13,op1(e10,e13)) = e13
| ~ epred1_0 )
& ( op1(e10,op1(e12,e10)) = e10
| op1(e12,op1(e11,e12)) = e12
| op1(e13,op1(e10,e13)) = e13
| ~ epred1_0 )
& ( op1(e11,op1(e12,e11)) = e11
| op1(e12,op1(e11,e12)) = e12
| op1(e13,op1(e10,e13)) = e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e11,e12)) = e12
| op1(e13,op1(e10,e13)) = e13
| ~ epred1_0 )
& ( op1(e13,op1(e12,e13)) = e13
| op1(e12,op1(e11,e12)) = e12
| op1(e13,op1(e10,e13)) = e13
| ~ epred1_0 )
& ( op1(e10,op1(e12,e10)) = e10
| op1(e13,op1(e11,e13)) = e13
| op1(e13,op1(e10,e13)) = e13
| ~ epred1_0 )
& ( op1(e11,op1(e12,e11)) = e11
| op1(e13,op1(e11,e13)) = e13
| op1(e13,op1(e10,e13)) = e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) = e12
| op1(e13,op1(e11,e13)) = e13
| op1(e13,op1(e10,e13)) = e13
| ~ epred1_0 )
& ( op1(e13,op1(e12,e13)) = e13
| op1(e13,op1(e11,e13)) = e13
| op1(e13,op1(e10,e13)) = e13
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
cnf(c_0_48,plain,
( op1(e10,op1(e13,e10)) = e10
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_49,plain,
( op1(e13,e10) = e12
| op1(e10,e10) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35]),c_0_24]),c_0_36]),c_0_37]) ).
cnf(c_0_50,plain,
op1(e10,e12) != e10,
inference(rw,[status(thm)],[c_0_38,c_0_16]) ).
cnf(c_0_51,plain,
( op1(e13,e10) = e10
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_35]),c_0_24]),c_0_40]),c_0_41]) ).
cnf(c_0_52,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_53,plain,
op2(e23,e20) != e21,
inference(rw,[status(thm)],[c_0_42,c_0_29]) ).
cnf(c_0_54,plain,
op2(e23,e20) != e23,
inference(rw,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_55,plain,
( ( op2(e20,op2(e23,e20)) = e20
| epred2_0 )
& ( op2(e21,op2(e23,e21)) = e21
| epred2_0 )
& ( op2(e22,op2(e23,e22)) = e22
| epred2_0 )
& ( op2(e23,op2(e23,e23)) = e23
| epred2_0 ) ),
inference(distribute,[status(thm)],[c_0_45]) ).
cnf(c_0_56,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_57,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_58,plain,
e20 != e21,
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_59,plain,
( op1(e12,op1(e12,e12)) = e12
| op1(e10,op1(e11,e10)) = e10
| op1(e13,op1(e10,e13)) = e13
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_60,plain,
( op1(e10,e10) = e12
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_61,plain,
( op1(e10,e10) = e10
| epred1_0 ),
inference(spm,[status(thm)],[c_0_48,c_0_51]) ).
cnf(c_0_62,plain,
e10 != e12,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_63,plain,
op1(e10,e10) != op1(e12,e10),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_64,plain,
op1(e10,e10) != op1(e11,e10),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_65,plain,
( epred2_0
=> ( ( op2(e20,op2(e20,e20)) = e20
& op2(e21,op2(e20,e21)) = e21
& op2(e22,op2(e20,e22)) = e22
& op2(e23,op2(e20,e23)) = e23 )
| ( op2(e20,op2(e21,e20)) = e20
& op2(e21,op2(e21,e21)) = e21
& op2(e22,op2(e21,e22)) = e22
& op2(e23,op2(e21,e23)) = e23 )
| ( op2(e20,op2(e22,e20)) = e20
& op2(e21,op2(e22,e21)) = e21
& op2(e22,op2(e22,e22)) = e22
& op2(e23,op2(e22,e23)) = e23 ) ) ),
inference(split_equiv,[status(thm)],[c_0_30]) ).
cnf(c_0_66,plain,
op2(e20,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_67,plain,
( op2(e23,e20) = e22
| op2(e23,e20) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
cnf(c_0_68,plain,
( op2(e20,op2(e23,e20)) = e20
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_69,plain,
( op2(e23,e20) = e20
| op2(e20,e20) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_44]),c_0_29]),c_0_57]),c_0_58]) ).
cnf(c_0_70,plain,
( op1(e13,op1(e10,e13)) = e13
| op1(e10,e13) = e10
| ~ epred1_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_35]),c_0_16]),c_0_24]),c_0_37]) ).
cnf(c_0_71,plain,
epred1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_72,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_73,plain,
op1(e10,e10) != e11,
inference(rw,[status(thm)],[c_0_63,c_0_24]) ).
cnf(c_0_74,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_75,plain,
op1(e10,e10) != e13,
inference(rw,[status(thm)],[c_0_64,c_0_35]) ).
cnf(c_0_76,plain,
op1(e11,e10) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_77,plain,
( ( op2(e20,op2(e22,e20)) = e20
| op2(e20,op2(e21,e20)) = e20
| op2(e20,op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(e21,op2(e22,e21)) = e21
| op2(e20,op2(e21,e20)) = e20
| op2(e20,op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(e22,op2(e22,e22)) = e22
| op2(e20,op2(e21,e20)) = e20
| op2(e20,op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(e23,op2(e22,e23)) = e23
| op2(e20,op2(e21,e20)) = e20
| op2(e20,op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(e20,op2(e22,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e20,op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(e21,op2(e22,e21)) = e21
| op2(e21,op2(e21,e21)) = e21
| op2(e20,op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(e22,op2(e22,e22)) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e20,op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(e23,op2(e22,e23)) = e23
| op2(e21,op2(e21,e21)) = e21
| op2(e20,op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(e20,op2(e22,e20)) = e20
| op2(e22,op2(e21,e22)) = e22
| op2(e20,op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(e21,op2(e22,e21)) = e21
| op2(e22,op2(e21,e22)) = e22
| op2(e20,op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e21,e22)) = e22
| op2(e20,op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(e23,op2(e22,e23)) = e23
| op2(e22,op2(e21,e22)) = e22
| op2(e20,op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(e20,op2(e22,e20)) = e20
| op2(e23,op2(e21,e23)) = e23
| op2(e20,op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(e21,op2(e22,e21)) = e21
| op2(e23,op2(e21,e23)) = e23
| op2(e20,op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(e22,op2(e22,e22)) = e22
| op2(e23,op2(e21,e23)) = e23
| op2(e20,op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(e23,op2(e22,e23)) = e23
| op2(e23,op2(e21,e23)) = e23
| op2(e20,op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(e20,op2(e22,e20)) = e20
| op2(e20,op2(e21,e20)) = e20
| op2(e21,op2(e20,e21)) = e21
| ~ epred2_0 )
& ( op2(e21,op2(e22,e21)) = e21
| op2(e20,op2(e21,e20)) = e20
| op2(e21,op2(e20,e21)) = e21
| ~ epred2_0 )
& ( op2(e22,op2(e22,e22)) = e22
| op2(e20,op2(e21,e20)) = e20
| op2(e21,op2(e20,e21)) = e21
| ~ epred2_0 )
& ( op2(e23,op2(e22,e23)) = e23
| op2(e20,op2(e21,e20)) = e20
| op2(e21,op2(e20,e21)) = e21
| ~ epred2_0 )
& ( op2(e20,op2(e22,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e20,e21)) = e21
| ~ epred2_0 )
& ( op2(e21,op2(e22,e21)) = e21
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e20,e21)) = e21
| ~ epred2_0 )
& ( op2(e22,op2(e22,e22)) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e20,e21)) = e21
| ~ epred2_0 )
& ( op2(e23,op2(e22,e23)) = e23
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e20,e21)) = e21
| ~ epred2_0 )
& ( op2(e20,op2(e22,e20)) = e20
| op2(e22,op2(e21,e22)) = e22
| op2(e21,op2(e20,e21)) = e21
| ~ epred2_0 )
& ( op2(e21,op2(e22,e21)) = e21
| op2(e22,op2(e21,e22)) = e22
| op2(e21,op2(e20,e21)) = e21
| ~ epred2_0 )
& ( op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e21,e22)) = e22
| op2(e21,op2(e20,e21)) = e21
| ~ epred2_0 )
& ( op2(e23,op2(e22,e23)) = e23
| op2(e22,op2(e21,e22)) = e22
| op2(e21,op2(e20,e21)) = e21
| ~ epred2_0 )
& ( op2(e20,op2(e22,e20)) = e20
| op2(e23,op2(e21,e23)) = e23
| op2(e21,op2(e20,e21)) = e21
| ~ epred2_0 )
& ( op2(e21,op2(e22,e21)) = e21
| op2(e23,op2(e21,e23)) = e23
| op2(e21,op2(e20,e21)) = e21
| ~ epred2_0 )
& ( op2(e22,op2(e22,e22)) = e22
| op2(e23,op2(e21,e23)) = e23
| op2(e21,op2(e20,e21)) = e21
| ~ epred2_0 )
& ( op2(e23,op2(e22,e23)) = e23
| op2(e23,op2(e21,e23)) = e23
| op2(e21,op2(e20,e21)) = e21
| ~ epred2_0 )
& ( op2(e20,op2(e22,e20)) = e20
| op2(e20,op2(e21,e20)) = e20
| op2(e22,op2(e20,e22)) = e22
| ~ epred2_0 )
& ( op2(e21,op2(e22,e21)) = e21
| op2(e20,op2(e21,e20)) = e20
| op2(e22,op2(e20,e22)) = e22
| ~ epred2_0 )
& ( op2(e22,op2(e22,e22)) = e22
| op2(e20,op2(e21,e20)) = e20
| op2(e22,op2(e20,e22)) = e22
| ~ epred2_0 )
& ( op2(e23,op2(e22,e23)) = e23
| op2(e20,op2(e21,e20)) = e20
| op2(e22,op2(e20,e22)) = e22
| ~ epred2_0 )
& ( op2(e20,op2(e22,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e22,op2(e20,e22)) = e22
| ~ epred2_0 )
& ( op2(e21,op2(e22,e21)) = e21
| op2(e21,op2(e21,e21)) = e21
| op2(e22,op2(e20,e22)) = e22
| ~ epred2_0 )
& ( op2(e22,op2(e22,e22)) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e22,op2(e20,e22)) = e22
| ~ epred2_0 )
& ( op2(e23,op2(e22,e23)) = e23
| op2(e21,op2(e21,e21)) = e21
| op2(e22,op2(e20,e22)) = e22
| ~ epred2_0 )
& ( op2(e20,op2(e22,e20)) = e20
| op2(e22,op2(e21,e22)) = e22
| op2(e22,op2(e20,e22)) = e22
| ~ epred2_0 )
& ( op2(e21,op2(e22,e21)) = e21
| op2(e22,op2(e21,e22)) = e22
| op2(e22,op2(e20,e22)) = e22
| ~ epred2_0 )
& ( op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e21,e22)) = e22
| op2(e22,op2(e20,e22)) = e22
| ~ epred2_0 )
& ( op2(e23,op2(e22,e23)) = e23
| op2(e22,op2(e21,e22)) = e22
| op2(e22,op2(e20,e22)) = e22
| ~ epred2_0 )
& ( op2(e20,op2(e22,e20)) = e20
| op2(e23,op2(e21,e23)) = e23
| op2(e22,op2(e20,e22)) = e22
| ~ epred2_0 )
& ( op2(e21,op2(e22,e21)) = e21
| op2(e23,op2(e21,e23)) = e23
| op2(e22,op2(e20,e22)) = e22
| ~ epred2_0 )
& ( op2(e22,op2(e22,e22)) = e22
| op2(e23,op2(e21,e23)) = e23
| op2(e22,op2(e20,e22)) = e22
| ~ epred2_0 )
& ( op2(e23,op2(e22,e23)) = e23
| op2(e23,op2(e21,e23)) = e23
| op2(e22,op2(e20,e22)) = e22
| ~ epred2_0 )
& ( op2(e20,op2(e22,e20)) = e20
| op2(e20,op2(e21,e20)) = e20
| op2(e23,op2(e20,e23)) = e23
| ~ epred2_0 )
& ( op2(e21,op2(e22,e21)) = e21
| op2(e20,op2(e21,e20)) = e20
| op2(e23,op2(e20,e23)) = e23
| ~ epred2_0 )
& ( op2(e22,op2(e22,e22)) = e22
| op2(e20,op2(e21,e20)) = e20
| op2(e23,op2(e20,e23)) = e23
| ~ epred2_0 )
& ( op2(e23,op2(e22,e23)) = e23
| op2(e20,op2(e21,e20)) = e20
| op2(e23,op2(e20,e23)) = e23
| ~ epred2_0 )
& ( op2(e20,op2(e22,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e23,op2(e20,e23)) = e23
| ~ epred2_0 )
& ( op2(e21,op2(e22,e21)) = e21
| op2(e21,op2(e21,e21)) = e21
| op2(e23,op2(e20,e23)) = e23
| ~ epred2_0 )
& ( op2(e22,op2(e22,e22)) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e23,op2(e20,e23)) = e23
| ~ epred2_0 )
& ( op2(e23,op2(e22,e23)) = e23
| op2(e21,op2(e21,e21)) = e21
| op2(e23,op2(e20,e23)) = e23
| ~ epred2_0 )
& ( op2(e20,op2(e22,e20)) = e20
| op2(e22,op2(e21,e22)) = e22
| op2(e23,op2(e20,e23)) = e23
| ~ epred2_0 )
& ( op2(e21,op2(e22,e21)) = e21
| op2(e22,op2(e21,e22)) = e22
| op2(e23,op2(e20,e23)) = e23
| ~ epred2_0 )
& ( op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e21,e22)) = e22
| op2(e23,op2(e20,e23)) = e23
| ~ epred2_0 )
& ( op2(e23,op2(e22,e23)) = e23
| op2(e22,op2(e21,e22)) = e22
| op2(e23,op2(e20,e23)) = e23
| ~ epred2_0 )
& ( op2(e20,op2(e22,e20)) = e20
| op2(e23,op2(e21,e23)) = e23
| op2(e23,op2(e20,e23)) = e23
| ~ epred2_0 )
& ( op2(e21,op2(e22,e21)) = e21
| op2(e23,op2(e21,e23)) = e23
| op2(e23,op2(e20,e23)) = e23
| ~ epred2_0 )
& ( op2(e22,op2(e22,e22)) = e22
| op2(e23,op2(e21,e23)) = e23
| op2(e23,op2(e20,e23)) = e23
| ~ epred2_0 )
& ( op2(e23,op2(e22,e23)) = e23
| op2(e23,op2(e21,e23)) = e23
| op2(e23,op2(e20,e23)) = e23
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])]) ).
cnf(c_0_78,plain,
( op2(e23,e20) = e22
| op2(e20,e20) != e20 ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_79,plain,
( op2(e20,e20) = e20
| epred2_0 ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_80,plain,
op2(e20,e22) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_81,plain,
op1(e12,e12) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_82,plain,
( op1(e13,op1(e10,e13)) = e13
| op1(e10,e13) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71])]) ).
cnf(c_0_83,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11 ),
inference(sr,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_84,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13 ),
inference(sr,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_85,plain,
( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_86,plain,
op1(e11,e12) != e13,
inference(rw,[status(thm)],[c_0_76,c_0_35]) ).
cnf(c_0_87,plain,
( op2(e22,op2(e22,e22)) = e22
| op2(e20,op2(e21,e20)) = e20
| op2(e23,op2(e20,e23)) = e23
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_88,plain,
e21 != e22,
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_89,plain,
( op2(e23,e20) = e22
| epred2_0 ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_90,plain,
op2(e20,e22) != e20,
inference(rw,[status(thm)],[c_0_80,c_0_21]) ).
cnf(c_0_91,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_92,plain,
op1(e13,e12) != e10,
inference(rw,[status(thm)],[c_0_81,c_0_16]) ).
cnf(c_0_93,plain,
op1(e10,e11) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_94,plain,
( op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e13,e11) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_41]) ).
cnf(c_0_95,plain,
op1(e13,e12) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_96,plain,
( op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e13,e13) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_84]),c_0_40]) ).
cnf(c_0_97,plain,
( op1(e13,e12) = e13
| op1(e10,e12) = e13 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_16]),c_0_86]),c_0_40]) ).
cnf(c_0_98,plain,
( op2(e23,op2(e20,e23)) = e23
| op2(e20,e23) = e20
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_44]),c_0_21]),c_0_29]),c_0_88]) ).
cnf(c_0_99,plain,
epred2_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_89]),c_0_90]) ).
cnf(c_0_100,plain,
op1(e10,e12) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_101,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11 ),
inference(sr,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_102,plain,
( op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e11) != e13 ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_103,plain,
( op1(e10,e11) = e13
| op1(e10,e12) = e13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).
cnf(c_0_104,plain,
e11 != e13,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_105,plain,
op1(e11,e12) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_106,plain,
( op2(e23,op2(e20,e23)) = e23
| op2(e20,e23) = e20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_99])]) ).
cnf(c_0_107,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_108,plain,
( op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e10,e12) != e13 ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_109,plain,
( op1(e10,e12) = e13
| op1(e10,e12) = e11 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]) ).
cnf(c_0_110,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_111,plain,
op1(e11,e12) != e10,
inference(rw,[status(thm)],[c_0_105,c_0_16]) ).
cnf(c_0_112,plain,
op2(e20,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_113,plain,
( op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20
| op2(e23,e23) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_57]) ).
cnf(c_0_114,plain,
op1(e11,e12) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_115,plain,
( op1(e10,e12) = e11
| op1(e13,e12) = e11
| op1(e13,e12) = e12 ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_116,plain,
op1(e10,e12) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_117,plain,
( op1(e11,e12) = e12
| op1(e11,e12) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_110,c_0_111]),c_0_86]) ).
cnf(c_0_118,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_107]) ).
cnf(c_0_119,plain,
op2(e22,e21) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_120,plain,
op2(e22,e20) != op2(e22,e21),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_121,plain,
op1(e13,e10) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_122,plain,
( op1(e13,e12) = e12
| op1(e10,e12) = e11
| op1(e11,e12) != e11 ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_123,plain,
( op1(e11,e12) = e12
| op1(e10,e12) != e11 ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_124,plain,
op2(e20,e20) != op2(e21,e20),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_125,plain,
op2(e22,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_126,plain,
( op2(e20,e23) = e22
| op2(e20,e23) = e20
| op2(e23,e21) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_118]),c_0_58]) ).
cnf(c_0_127,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_128,plain,
op2(e22,e21) != e20,
inference(rw,[status(thm)],[c_0_119,c_0_21]) ).
cnf(c_0_129,plain,
op2(e22,e21) != e21,
inference(rw,[status(thm)],[c_0_120,c_0_29]) ).
cnf(c_0_130,plain,
( op1(e10,e10) = e12
| op1(e13,e12) != e12 ),
inference(spm,[status(thm)],[c_0_121,c_0_49]) ).
cnf(c_0_131,plain,
( op1(e11,e12) = e12
| op1(e13,e12) = e12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_117]),c_0_123]) ).
cnf(c_0_132,plain,
( op2(e22,op2(e22,e22)) = e22
| op2(e23,op2(e21,e23)) = e23
| op2(e21,op2(e20,e21)) = e21
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_133,plain,
op2(e21,e22) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_134,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_135,plain,
op2(e20,e20) != e23,
inference(rw,[status(thm)],[c_0_124,c_0_44]) ).
cnf(c_0_136,plain,
op2(e21,e20) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_137,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e22
| op2(e22,e21) != e23 ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_138,plain,
( op2(e22,e21) = e23
| op2(e22,e21) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_127,c_0_128]),c_0_129]) ).
cnf(c_0_139,plain,
op2(e20,e20) != op2(e22,e20),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_140,plain,
op1(e12,e11) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_141,plain,
op1(e12,e10) != op1(e12,e11),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_142,plain,
( op1(e11,e12) = e12
| op1(e10,e10) = e12 ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
fof(c_0_143,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_144,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_145,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_146,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) ).
cnf(c_0_147,plain,
( op2(e23,op2(e21,e23)) = e23
| op2(e21,op2(e20,e21)) = e21
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_21]),c_0_29]),c_0_88]) ).
cnf(c_0_148,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_149,plain,
op2(e21,e22) != e20,
inference(rw,[status(thm)],[c_0_133,c_0_21]) ).
cnf(c_0_150,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23 ),
inference(sr,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_151,plain,
( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_152,plain,
op2(e21,e22) != e23,
inference(rw,[status(thm)],[c_0_136,c_0_44]) ).
cnf(c_0_153,plain,
op2(e20,e20) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_154,plain,
( op2(e22,e21) = e22
| op2(e20,e23) = e22
| op2(e20,e23) = e20 ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_155,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_156,plain,
op2(e20,e20) != e21,
inference(rw,[status(thm)],[c_0_139,c_0_29]) ).
cnf(c_0_157,plain,
op1(e12,e11) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_158,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_159,plain,
op1(e12,e11) != e10,
inference(rw,[status(thm)],[c_0_140,c_0_16]) ).
cnf(c_0_160,plain,
op1(e12,e11) != e11,
inference(rw,[status(thm)],[c_0_141,c_0_24]) ).
cnf(c_0_161,plain,
op1(e10,e13) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_162,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_163,plain,
( op1(e10,e10) = e12
| op1(e10,e12) != e12 ),
inference(spm,[status(thm)],[c_0_116,c_0_142]) ).
cnf(c_0_164,plain,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
fof(c_0_165,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_143]),c_0_144]),c_0_145]),c_0_146]) ).
cnf(c_0_166,plain,
( op2(e21,op2(e20,e21)) = e21
| op2(e23,op2(e21,e23)) = e23 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_99])]) ).
cnf(c_0_167,plain,
( op2(e21,e23) = e20
| op2(e21,e21) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_44]),c_0_57]),c_0_149]) ).
cnf(c_0_168,plain,
op2(e23,e22) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_169,plain,
( op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e23,e23) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_150]),c_0_57]) ).
cnf(c_0_170,plain,
( op2(e23,e22) = e23
| op2(e20,e22) = e23 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_21]),c_0_152]),c_0_57]) ).
cnf(c_0_171,plain,
( op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e21,e22)) = e22
| op2(e20,op2(e20,e20)) = e20
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_172,plain,
( op2(e20,e23) = e22
| op2(e22,e21) = e22
| op2(e20,e20) != e20 ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_173,plain,
( op2(e20,e20) = e22
| op2(e20,e20) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_155,c_0_156]),c_0_135]) ).
cnf(c_0_174,plain,
( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_175,plain,
e20 != e22,
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_176,plain,
( op1(e12,op1(e12,e12)) = e12
| op1(e10,op1(e11,e10)) = e10
| op1(e12,op1(e10,e12)) = e12
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_177,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_178,plain,
( op1(e12,op1(e12,e12)) = e12
| op1(e10,op1(e11,e10)) = e10
| op1(e10,op1(e10,e10)) = e10
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_179,plain,
( op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e12,e11) != e13 ),
inference(spm,[status(thm)],[c_0_157,c_0_94]) ).
cnf(c_0_180,plain,
( op1(e12,e11) = e13
| op1(e12,e11) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_158,c_0_159]),c_0_160]) ).
cnf(c_0_181,plain,
( op1(e10,e11) = e12
| op1(e10,e10) = e12
| op1(e12,e13) != e12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).
cnf(c_0_182,plain,
( op1(e12,e13) = e12
| op1(e12,e11) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_24]),c_0_16]),c_0_37]),c_0_62]) ).
fof(c_0_183,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)],[inference(fof_nnf,[status(thm)],[c_0_165])])]) ).
cnf(c_0_184,plain,
op2(e20,e23) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_185,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_186,plain,
( op2(e22,op2(e22,e22)) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e20,e21)) = e21
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_187,plain,
( op2(e21,op2(e20,e21)) = e21
| op2(e21,e21) = e20 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_54]) ).
cnf(c_0_188,plain,
( op2(e20,e21) = e23
| op2(e20,e22) = e23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170]) ).
cnf(c_0_189,plain,
op2(e22,e22) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_190,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_191,plain,
( op2(e22,op2(e21,e22)) = e22
| op2(e20,op2(e20,e20)) = e20
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_21]),c_0_29]),c_0_88]) ).
cnf(c_0_192,plain,
op2(e20,e23) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_193,plain,
( op2(e20,e20) = e22
| op2(e22,e21) = e22
| op2(e20,e23) = e22 ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_194,plain,
( op2(e22,e23) = e22
| op2(e22,e21) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_29]),c_0_21]),c_0_88]),c_0_175]) ).
cnf(c_0_195,plain,
( op1(e12,op1(e10,e12)) = e12
| op1(e10,e13) = e10
| ~ epred1_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_35]),c_0_16]),c_0_24]),c_0_37]) ).
cnf(c_0_196,plain,
( op1(e12,op1(e12,e12)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e10,op1(e10,e10)) = e10
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_197,plain,
op1(e10,e13) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_198,plain,
( op1(e11,e13) = e10
| op1(e11,e11) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_35]),c_0_40]),c_0_111]) ).
cnf(c_0_199,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_200,plain,
( op1(e10,op1(e10,e10)) = e10
| op1(e10,e13) = e10
| ~ epred1_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_35]),c_0_16]),c_0_24]),c_0_37]) ).
cnf(c_0_201,plain,
( op1(e12,e11) = e12
| op1(e10,e12) = e11
| op1(e10,e11) = e11 ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_202,plain,
( op1(e12,e11) = e12
| op1(e10,e10) = e12
| op1(e10,e11) = e12 ),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_203,plain,
( op2(e22,op2(e22,e22)) = e22
| op2(e20,op2(e21,e20)) = e20
| op2(e21,op2(e20,e21)) = e21
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_204,negated_conjecture,
( h2(e11) != e23
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_183]) ).
cnf(c_0_205,plain,
h2(e11) = op2(e21,op2(e21,e21)),
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_206,plain,
( op2(e21,e21) = e20
| op2(e20,e23) != e20 ),
inference(spm,[status(thm)],[c_0_184,c_0_167]) ).
cnf(c_0_207,plain,
( op2(e20,e23) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(sr,[status(thm)],[c_0_185,c_0_90]) ).
cnf(c_0_208,plain,
( op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e20,e21)) = e21
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_21]),c_0_29]),c_0_88]) ).
cnf(c_0_209,plain,
( op2(e20,e22) = e23
| op2(e21,e21) = e20
| op2(e21,e23) = e21 ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_210,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_211,plain,
op2(e22,e23) != e20,
inference(rw,[status(thm)],[c_0_189,c_0_21]) ).
cnf(c_0_212,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21 ),
inference(sr,[status(thm)],[c_0_190,c_0_156]) ).
cnf(c_0_213,plain,
( op2(e20,op2(e20,e20)) = e20
| op2(e22,op2(e21,e22)) = e22 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_99])]) ).
cnf(c_0_214,plain,
( op2(e22,e21) = e22
| op2(e20,e20) = e22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]) ).
cnf(c_0_215,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_216,plain,
( op1(e12,op1(e10,e12)) = e12
| op1(e10,e13) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_195,c_0_71])]) ).
cnf(c_0_217,plain,
( op1(e11,op1(e11,e11)) = e11
| op1(e10,op1(e10,e10)) = e10
| ~ epred1_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_16]),c_0_24]),c_0_37]) ).
cnf(c_0_218,plain,
( op1(e11,e11) = e10
| op1(e10,e13) != e10 ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_219,plain,
( op1(e10,e13) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[c_0_199,c_0_50]) ).
cnf(c_0_220,plain,
( op1(e10,op1(e10,e10)) = e10
| op1(e10,e13) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_71])]) ).
cnf(c_0_221,plain,
( op1(e10,e10) = e12
| op1(e10,e12) = e11
| op1(e12,e11) = e12 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_37]) ).
cnf(c_0_222,plain,
( op2(e21,op2(e20,e21)) = e21
| op2(e20,e23) = e20
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_44]),c_0_21]),c_0_29]),c_0_88]) ).
cnf(c_0_223,negated_conjecture,
( op2(e21,op2(e21,e21)) != e23
| ~ epred4_0 ),
inference(rw,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_224,plain,
( op2(e20,e21) = e20
| op2(e20,e20) = e20
| op2(e21,e21) = e20 ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_225,plain,
( op2(e22,op2(e22,e22)) = e22
| op2(e23,op2(e21,e23)) = e23
| op2(e23,op2(e20,e23)) = e23
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_226,plain,
( op2(e21,op2(e20,e21)) = e21
| op2(e21,op2(e21,e21)) = e21 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_99])]) ).
cnf(c_0_227,plain,
( op2(e20,e22) = e23
| op2(e21,e21) = e20 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_209]),c_0_58]) ).
cnf(c_0_228,plain,
e21 != e23,
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_229,plain,
op2(e23,e20) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_230,plain,
( op2(e23,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 ),
inference(sr,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_231,plain,
( op2(e22,op2(e22,e22)) = e22
| op2(e20,op2(e21,e20)) = e20
| op2(e22,op2(e20,e22)) = e22
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_232,plain,
op2(e20,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_233,plain,
( op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e23,e21) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_212]),c_0_58]) ).
cnf(c_0_234,plain,
( op2(e22,op2(e21,e22)) = e22
| op2(e22,e21) = e22 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_90]) ).
cnf(c_0_235,plain,
( op2(e21,e22) = e22
| op2(e21,e22) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_215,c_0_149]),c_0_152]) ).
cnf(c_0_236,plain,
( op1(e12,op1(e12,e12)) = e12
| op1(e10,op1(e11,e10)) = e10
| op1(e11,op1(e10,e11)) = e11
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_237,plain,
op1(e10,e10) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_238,plain,
( op1(e10,e12) = e11
| op1(e10,e13) = e10
| op1(e12,e13) = e12 ),
inference(spm,[status(thm)],[c_0_216,c_0_109]) ).
cnf(c_0_239,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_240,plain,
op1(e10,e11) != op1(e12,e11),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_241,plain,
( op1(e10,op1(e10,e10)) = e10
| op1(e11,op1(e11,e11)) = e11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_71])]) ).
cnf(c_0_242,plain,
( op1(e10,e11) = e10
| op1(e10,e10) = e10
| op1(e11,e11) = e10 ),
inference(spm,[status(thm)],[c_0_218,c_0_219]) ).
cnf(c_0_243,plain,
op1(e10,e11) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_244,plain,
( op1(e12,e11) = e12
| op1(e10,e12) = e11
| op1(e10,e13) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_50]) ).
cnf(c_0_245,plain,
op1(e12,e12) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_246,plain,
( op2(e21,op2(e20,e21)) = e21
| op2(e20,e23) = e20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_99])]) ).
cnf(c_0_247,negated_conjecture,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| ~ epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_44])]) ).
cnf(c_0_248,plain,
( op2(e23,op2(e21,e23)) = e23
| op2(e23,op2(e20,e23)) = e23
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_21]),c_0_29]),c_0_88]) ).
cnf(c_0_249,plain,
( op2(e21,op2(e20,e21)) = e21
| op2(e20,e22) = e23 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_44]),c_0_228]) ).
cnf(c_0_250,plain,
( op2(e21,e23) = e20
| op2(e20,e23) = e20
| op2(e23,e20) != e20 ),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_251,plain,
( op2(e22,op2(e20,e22)) = e22
| op2(e20,e23) = e20
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_44]),c_0_21]),c_0_29]),c_0_88]) ).
cnf(c_0_252,plain,
( op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e21) != e23 ),
inference(spm,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_253,plain,
( op2(e21,e22) = e22
| op2(e22,e21) = e22 ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_254,plain,
( op1(e11,op1(e10,e11)) = e11
| op1(e10,e13) = e10
| ~ epred1_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_35]),c_0_16]),c_0_24]),c_0_37]) ).
cnf(c_0_255,plain,
( op1(e12,e13) = e12
| op1(e10,e12) = e11
| op1(e10,e10) != e10 ),
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_256,plain,
( op1(e10,e10) = e12
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_239,c_0_73]),c_0_75]) ).
cnf(c_0_257,plain,
( op1(e10,e12) = e13
| op1(e12,e11) != e13 ),
inference(spm,[status(thm)],[c_0_240,c_0_103]) ).
cnf(c_0_258,plain,
( op1(e10,op1(e10,e10)) = e10
| op1(e10,e10) = e10
| op1(e10,e11) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_35]),c_0_104]) ).
cnf(c_0_259,plain,
( op1(e10,e12) = e11
| op1(e12,e11) = e12
| op1(e10,e11) != e10 ),
inference(spm,[status(thm)],[c_0_243,c_0_244]) ).
cnf(c_0_260,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_261,plain,
op1(e12,e13) != e10,
inference(rw,[status(thm)],[c_0_245,c_0_16]) ).
cnf(c_0_262,plain,
op2(e22,e22) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_263,plain,
op2(e20,e21) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_264,plain,
( op2(e20,e20) = e20
| op2(e20,e23) = e20
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_44]),c_0_228]) ).
cnf(c_0_265,plain,
( op2(e23,op2(e20,e23)) = e23
| op2(e23,op2(e21,e23)) = e23 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_248,c_0_99])]) ).
cnf(c_0_266,plain,
( op2(e20,e22) = e23
| op2(e21,e23) = e21 ),
inference(spm,[status(thm)],[c_0_249,c_0_188]) ).
cnf(c_0_267,plain,
( op2(e20,e20) = e20
| op2(e20,e23) = e20
| op2(e21,e23) = e20 ),
inference(spm,[status(thm)],[c_0_250,c_0_69]) ).
cnf(c_0_268,plain,
( op2(e20,e22) = e23
| op2(e20,e23) = e20
| op2(e21,e23) = e21 ),
inference(spm,[status(thm)],[c_0_246,c_0_188]) ).
cnf(c_0_269,plain,
( op2(e22,op2(e22,e22)) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e23,op2(e20,e23)) = e23
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_270,plain,
( op2(e22,op2(e20,e22)) = e22
| op2(e20,e23) = e20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_99])]) ).
cnf(c_0_271,plain,
( op2(e20,e22) = e23
| op2(e20,e22) = e21 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_188]),c_0_228]) ).
cnf(c_0_272,plain,
op2(e22,e21) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_273,plain,
op2(e22,e21) = e22,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_253]),c_0_21]),c_0_175]) ).
cnf(c_0_274,plain,
( op1(e12,op1(e12,e12)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e10,e11)) = e11
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_275,plain,
( op1(e11,op1(e10,e11)) = e11
| op1(e10,e13) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_254,c_0_71])]) ).
cnf(c_0_276,plain,
( op1(e10,e10) = e12
| op1(e10,e12) = e11
| op1(e12,e13) = e12 ),
inference(spm,[status(thm)],[c_0_255,c_0_256]) ).
cnf(c_0_277,plain,
( op1(e12,e13) = e12
| op1(e10,e12) = e11
| op1(e10,e11) != e10 ),
inference(spm,[status(thm)],[c_0_243,c_0_238]) ).
cnf(c_0_278,plain,
( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_279,plain,
( op1(e12,e11) = e12
| op1(e10,e12) = e13 ),
inference(spm,[status(thm)],[c_0_257,c_0_180]) ).
cnf(c_0_280,plain,
( op1(e12,e11) = e12
| op1(e10,e12) = e11 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_221]),c_0_50]),c_0_62]),c_0_259]) ).
cnf(c_0_281,plain,
op1(e13,e10) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_282,plain,
( op1(e13,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(sr,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_283,plain,
op2(e22,e20) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_284,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_285,plain,
op2(e23,e22) != e20,
inference(rw,[status(thm)],[c_0_262,c_0_21]) ).
cnf(c_0_286,plain,
( op2(e20,e20) = e20
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_247]) ).
cnf(c_0_287,plain,
( op2(e23,op2(e20,e23)) = e23
| op2(e20,e22) = e23
| op2(e23,e21) = e23 ),
inference(spm,[status(thm)],[c_0_265,c_0_266]) ).
cnf(c_0_288,plain,
( op2(e20,e22) = e23
| op2(e20,e23) = e20
| op2(e20,e20) = e20 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_58]) ).
cnf(c_0_289,plain,
( op2(e23,op2(e20,e23)) = e23
| op2(e21,op2(e21,e21)) = e21
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_269,c_0_21]),c_0_29]),c_0_88]) ).
cnf(c_0_290,plain,
( op2(e20,e22) = e21
| op2(e20,e23) = e20
| op2(e22,e23) = e22 ),
inference(spm,[status(thm)],[c_0_270,c_0_271]) ).
cnf(c_0_291,plain,
op2(e22,e23) != e22,
inference(rw,[status(thm)],[c_0_272,c_0_273]) ).
cnf(c_0_292,plain,
( op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e10,e11)) = e11
| ~ epred1_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_274,c_0_16]),c_0_24]),c_0_37]) ).
cnf(c_0_293,plain,
( op1(e10,e12) = e13
| op1(e10,e13) = e10
| op1(e11,e13) = e11 ),
inference(spm,[status(thm)],[c_0_275,c_0_103]) ).
cnf(c_0_294,plain,
( op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e11,e12)) = e12
| op1(e13,op1(e10,e13)) = e13
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_295,plain,
( op1(e12,e13) = e12
| op1(e10,e12) = e11 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_276]),c_0_50]),c_0_62]),c_0_277]) ).
cnf(c_0_296,plain,
( op1(e12,e13) = e13
| op1(e12,e11) = e13 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_278,c_0_24]),c_0_16]),c_0_104]),c_0_40]) ).
cnf(c_0_297,plain,
op1(e12,e11) = e12,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_104]) ).
cnf(c_0_298,plain,
( op1(e11,e13) = e10
| op1(e10,e13) = e10
| op1(e13,e10) != e10 ),
inference(spm,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_299,plain,
( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_300,plain,
op2(e22,e23) != e21,
inference(rw,[status(thm)],[c_0_283,c_0_29]) ).
cnf(c_0_301,plain,
op2(e20,e22) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_302,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21 ),
inference(sr,[status(thm)],[c_0_284,c_0_285]) ).
cnf(c_0_303,plain,
op2(e23,e20) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_304,plain,
( op2(e23,e20) = e22
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_78,c_0_286]) ).
cnf(c_0_305,plain,
op2(e22,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_306,plain,
( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_307,plain,
( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_308,plain,
( op2(e20,e22) = e23
| op2(e20,e23) != e21 ),
inference(spm,[status(thm)],[c_0_184,c_0_266]) ).
cnf(c_0_309,plain,
op2(e23,e21) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_310,plain,
( op2(e20,e20) = e20
| op2(e23,e21) = e23
| op2(e20,e22) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_54]) ).
cnf(c_0_311,plain,
( op2(e21,op2(e21,e21)) = e21
| op2(e23,op2(e20,e23)) = e23 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_289,c_0_99])]) ).
cnf(c_0_312,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e21 ),
inference(sr,[status(thm)],[c_0_290,c_0_291]) ).
cnf(c_0_313,plain,
op1(e12,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_314,plain,
( op1(e11,op1(e10,e11)) = e11
| op1(e11,op1(e11,e11)) = e11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_292,c_0_71])]) ).
cnf(c_0_315,plain,
( op1(e10,e12) = e13
| op1(e11,e11) = e10 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_293]),c_0_41]),c_0_218]) ).
cnf(c_0_316,plain,
( op1(e13,op1(e10,e13)) = e13
| op1(e12,op1(e11,e12)) = e12
| ~ epred1_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_294,c_0_16]),c_0_24]),c_0_37]) ).
cnf(c_0_317,plain,
( op1(e12,e13) = e12
| op1(e11,e12) = e12 ),
inference(spm,[status(thm)],[c_0_123,c_0_295]) ).
cnf(c_0_318,plain,
op1(e12,e13) = e13,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_297]),c_0_36]) ).
cnf(c_0_319,plain,
( op1(e10,e10) = e10
| op1(e10,e13) = e10
| op1(e11,e13) = e10 ),
inference(spm,[status(thm)],[c_0_298,c_0_51]) ).
cnf(c_0_320,plain,
( op2(e23,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 ),
inference(sr,[status(thm)],[c_0_299,c_0_300]) ).
cnf(c_0_321,plain,
( op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e20,e22) != e23 ),
inference(spm,[status(thm)],[c_0_301,c_0_302]) ).
cnf(c_0_322,negated_conjecture,
( op2(e20,e22) = e23
| ~ epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_227]),c_0_44])]) ).
cnf(c_0_323,plain,
( op2(e23,e22) != e22
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_303,c_0_304]) ).
cnf(c_0_324,plain,
( op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e21,e22)) = e22
| op2(e22,op2(e20,e22)) = e22
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_325,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_326,plain,
( op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20
| op2(e22,e23) != e23 ),
inference(spm,[status(thm)],[c_0_305,c_0_306]) ).
cnf(c_0_327,plain,
( op2(e22,e23) = e23
| op2(e22,e21) = e23 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_307,c_0_29]),c_0_21]),c_0_228]),c_0_57]) ).
cnf(c_0_328,plain,
( op2(e20,e23) = e22
| op2(e20,e23) = e20
| op2(e20,e22) = e23 ),
inference(spm,[status(thm)],[c_0_308,c_0_118]) ).
cnf(c_0_329,plain,
( op2(e20,e22) = e23
| op2(e20,e20) = e20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_170]) ).
cnf(c_0_330,plain,
( op2(e21,op2(e21,e21)) = e21
| op2(e20,e22) = e21 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_54]) ).
cnf(c_0_331,plain,
( op2(e20,e22) = e21
| op2(e21,e21) = e20 ),
inference(spm,[status(thm)],[c_0_206,c_0_312]) ).
cnf(c_0_332,plain,
op2(e21,e20) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_333,plain,
( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_334,plain,
op1(e13,e10) != e11,
inference(rw,[status(thm)],[c_0_313,c_0_24]) ).
cnf(c_0_335,plain,
( op1(e11,op1(e10,e11)) = e11
| op1(e10,e12) = e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_35]),c_0_104]) ).
cnf(c_0_336,plain,
( op1(e12,op1(e11,e12)) = e12
| op1(e13,op1(e10,e13)) = e13 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_316,c_0_71])]) ).
cnf(c_0_337,plain,
op1(e11,e12) = e12,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_317,c_0_318]),c_0_36]) ).
cnf(c_0_338,plain,
( op1(e10,e12) = e13
| op1(e10,e13) = e10
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_293]),c_0_41]) ).
cnf(c_0_339,plain,
op1(e10,e12) = e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_295,c_0_318]),c_0_36]) ).
cnf(c_0_340,plain,
op1(e11,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_341,plain,
( op2(e21,e23) = e21
| op2(e20,e23) = e21
| op2(e23,e22) != e21 ),
inference(spm,[status(thm)],[c_0_168,c_0_320]) ).
cnf(c_0_342,negated_conjecture,
( op2(e23,e22) = e21
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_323]) ).
cnf(c_0_343,plain,
( op2(e22,op2(e21,e22)) = e22
| op2(e22,op2(e20,e22)) = e22
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_324,c_0_21]),c_0_29]),c_0_88]) ).
cnf(c_0_344,plain,
( op2(e23,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_325,c_0_21]),c_0_175]) ).
cnf(c_0_345,plain,
op2(e21,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_346,plain,
( op2(e22,e21) = e23
| op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22 ),
inference(spm,[status(thm)],[c_0_326,c_0_327]) ).
cnf(c_0_347,plain,
( op2(e20,e22) = e23
| op2(e20,e23) = e22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_328]),c_0_329]) ).
cnf(c_0_348,plain,
op2(e20,e22) = e21,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_331]),c_0_44]),c_0_228]) ).
cnf(c_0_349,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_350,plain,
op2(e21,e23) != e23,
inference(rw,[status(thm)],[c_0_332,c_0_44]) ).
fof(c_0_351,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_144]) ).
cnf(c_0_352,plain,
op1(e11,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_353,plain,
( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11 ),
inference(sr,[status(thm)],[c_0_333,c_0_334]) ).
cnf(c_0_354,plain,
( op1(e10,e12) = e13
| op1(e11,e13) = e11 ),
inference(spm,[status(thm)],[c_0_335,c_0_103]) ).
cnf(c_0_355,plain,
op1(e13,op1(e10,e13)) = e13,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_336,c_0_337]),c_0_16]),c_0_62]) ).
cnf(c_0_356,plain,
( op1(e10,e10) = e10
| op1(e10,e13) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_338,c_0_339]),c_0_104]) ).
cnf(c_0_357,plain,
op1(e13,e10) != e13,
inference(rw,[status(thm)],[c_0_340,c_0_35]) ).
cnf(c_0_358,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_359,negated_conjecture,
( op2(e20,e23) = e21
| op2(e21,e23) = e21
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_341,c_0_342]) ).
cnf(c_0_360,plain,
( op2(e22,op2(e20,e22)) = e22
| op2(e22,op2(e21,e22)) = e22 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_343,c_0_99])]) ).
cnf(c_0_361,plain,
( op2(e21,e22) = e22
| op2(e20,e22) = e22
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_323,c_0_344]) ).
cnf(c_0_362,plain,
( op2(e23,e23) = e22
| op2(e23,e23) = e20
| op2(e22,e21) = e23
| op2(e21,e23) != e21 ),
inference(spm,[status(thm)],[c_0_345,c_0_346]) ).
cnf(c_0_363,plain,
e22 != e23,
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_364,plain,
op2(e20,e23) = e22,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_347,c_0_348]),c_0_228]) ).
cnf(c_0_365,plain,
op2(e21,e22) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_366,plain,
( op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 ),
inference(sr,[status(thm)],[c_0_349,c_0_350]) ).
fof(c_0_367,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)],[inference(fof_nnf,[status(thm)],[c_0_351])])]) ).
cnf(c_0_368,plain,
( op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e11,e13) != e11 ),
inference(spm,[status(thm)],[c_0_352,c_0_353]) ).
cnf(c_0_369,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_370,plain,
( op1(e10,e12) = e13
| op1(e10,e13) != e11 ),
inference(spm,[status(thm)],[c_0_197,c_0_354]) ).
cnf(c_0_371,plain,
op1(e10,e10) = e10,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_356]),c_0_357]) ).
cnf(c_0_372,plain,
op1(e10,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_373,plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_358,c_0_334]),c_0_357]) ).
cnf(c_0_374,negated_conjecture,
( op2(e20,e23) = e21
| op2(e21,e21) = e20
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_359]),c_0_58]) ).
cnf(c_0_375,plain,
( op2(e22,op2(e20,e22)) = e22
| op2(e20,e22) = e22
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_361]),c_0_21]),c_0_175]) ).
cnf(c_0_376,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_377,plain,
op2(e23,e21) != e22,
inference(rw,[status(thm)],[c_0_125,c_0_273]) ).
cnf(c_0_378,plain,
( op2(e23,e23) = e20
| op2(e23,e23) = e22
| op2(e21,e23) != e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_362,c_0_273]),c_0_363]) ).
cnf(c_0_379,plain,
op2(e21,e23) = e21,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_266,c_0_348]),c_0_228]) ).
cnf(c_0_380,plain,
op2(e23,e23) != e22,
inference(rw,[status(thm)],[c_0_112,c_0_364]) ).
cnf(c_0_381,plain,
( op2(e21,e23) = e22
| op2(e21,e23) = e20
| op2(e21,e22) != e21 ),
inference(spm,[status(thm)],[c_0_365,c_0_366]) ).
cnf(c_0_382,plain,
( 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)) ),
inference(split_conjunct,[status(thm)],[c_0_367]) ).
cnf(c_0_383,plain,
h2(e10) = op2(e21,e21),
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_384,plain,
h2(e12) = e21,
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_385,plain,
h2(e13) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_386,plain,
( op1(e10,e12) = e13
| op1(e13,e11) = e11
| op1(e13,e12) = e11 ),
inference(spm,[status(thm)],[c_0_368,c_0_354]) ).
cnf(c_0_387,plain,
op1(e13,e12) = e13,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_339]),c_0_104]) ).
cnf(c_0_388,plain,
( op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10
| op1(e10,e11) != e13 ),
inference(spm,[status(thm)],[c_0_243,c_0_369]) ).
cnf(c_0_389,plain,
op1(e10,e11) = e13,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_339]),c_0_104]) ).
cnf(c_0_390,plain,
op1(e10,e13) != e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_370,c_0_339]),c_0_104]) ).
cnf(c_0_391,plain,
op1(e10,e13) != e10,
inference(rw,[status(thm)],[c_0_237,c_0_371]) ).
cnf(c_0_392,plain,
( op1(e13,e10) = e12
| op1(e10,e10) != e10 ),
inference(spm,[status(thm)],[c_0_372,c_0_373]) ).
cnf(c_0_393,plain,
op1(e11,e13) = e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_354,c_0_339]),c_0_104]) ).
cnf(c_0_394,negated_conjecture,
( op2(e20,e23) = e21
| ~ epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_374]),c_0_44])]) ).
cnf(c_0_395,plain,
( op2(e22,e23) = e22
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_322]),c_0_363]) ).
cnf(c_0_396,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e21
| op2(e23,e21) = e20 ),
inference(sr,[status(thm)],[c_0_376,c_0_377]) ).
cnf(c_0_397,plain,
op2(e23,e21) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_398,plain,
op2(e23,e23) = e20,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_378,c_0_379])]),c_0_380]) ).
cnf(c_0_399,plain,
( op2(e21,e22) = e22
| op2(e21,e23) = e20
| op2(e21,e23) = e22 ),
inference(spm,[status(thm)],[c_0_381,c_0_235]) ).
cnf(c_0_400,plain,
( epred4_0
| op2(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) != h2(op1(e11,e11))
| h2(op1(e10,e11)) != op2(op2(e21,e21),op2(e21,op2(e21,e21)))
| op2(op2(e21,op2(e21,e21)),h2(e13)) != h2(op1(e11,e13))
| op2(h2(e13),op2(e21,op2(e21,e21))) != h2(op1(e13,e11))
| h2(op1(e10,e10)) != op2(op2(e21,e21),op2(e21,e21))
| h2(op1(e11,e12)) != op2(op2(e21,op2(e21,e21)),e21)
| h2(op1(e12,e11)) != op2(e21,op2(e21,op2(e21,e21)))
| op2(op2(e21,e21),h2(e13)) != h2(op1(e10,e13))
| op2(h2(e13),op2(e21,e21)) != h2(op1(e13,e10))
| h2(op1(e10,e12)) != op2(op2(e21,e21),e21)
| op2(h2(e13),h2(e13)) != h2(op1(e13,e13))
| h2(op1(e12,e13)) != op2(e21,h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),e21)
| op2(e21,e21) != e20
| h2(e13) != e22 ),
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)],[c_0_382,c_0_383]),c_0_384]),c_0_383]),c_0_383]),c_0_383]),c_0_205]),c_0_383]),c_0_384]),c_0_383]),c_0_205]),c_0_383]),c_0_385]),c_0_35]),c_0_205]),c_0_205]),c_0_205]),c_0_384]),c_0_205]),c_0_384]),c_0_383]),c_0_24]),c_0_205]),c_0_384]),c_0_205]),c_0_384]),c_0_384]),c_0_16]),c_0_383]),c_0_384]),c_0_383]),c_0_205]),c_0_384])]) ).
cnf(c_0_401,plain,
op1(e11,e11) = e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_315,c_0_339]),c_0_104]) ).
cnf(c_0_402,plain,
op1(e13,e11) = e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_386,c_0_339]),c_0_104]),c_0_387]),c_0_104]) ).
cnf(c_0_403,plain,
op1(e10,e13) = e12,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_388,c_0_389])]),c_0_390]),c_0_391]) ).
cnf(c_0_404,plain,
op1(e13,e10) = e12,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_392,c_0_371])]) ).
cnf(c_0_405,plain,
op1(e13,e13) = e10,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_282,c_0_393]),c_0_41]),c_0_391]) ).
cnf(c_0_406,plain,
( h2(e13) = op2(e23,e20)
| op2(e20,e22) = e23 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_227]),c_0_44]) ).
cnf(c_0_407,plain,
( op2(e23,e21) = e23
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_394]),c_0_58]) ).
cnf(c_0_408,plain,
( op2(e22,e21) = e23
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_395]),c_0_363]) ).
cnf(c_0_409,plain,
( op2(e20,e22) = e23
| op2(e23,e20) = e22 ),
inference(spm,[status(thm)],[c_0_78,c_0_329]) ).
cnf(c_0_410,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e20,e21) != e23 ),
inference(spm,[status(thm)],[c_0_232,c_0_396]) ).
cnf(c_0_411,plain,
op2(e20,e21) = e23,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_348]),c_0_228]) ).
cnf(c_0_412,plain,
op2(e23,e21) != e20,
inference(rw,[status(thm)],[c_0_397,c_0_398]) ).
cnf(c_0_413,plain,
( op2(e20,e22) = e23
| op2(e21,e22) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_266]),c_0_58]),c_0_88]) ).
cnf(c_0_414,plain,
( epred4_0
| op2(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) != op2(e21,e21)
| op2(op2(e21,op2(e21,e21)),h2(e13)) != op2(e21,op2(e21,e21))
| op2(h2(e13),op2(e21,op2(e21,e21))) != op2(e21,op2(e21,e21))
| op2(op2(e21,e21),op2(e21,op2(e21,e21))) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) != op2(e21,e21)
| op2(op2(e21,e21),e21) != op2(e21,op2(e21,e21))
| op2(op2(e21,op2(e21,e21)),e21) != e21
| op2(e21,op2(e21,op2(e21,e21))) != e21
| op2(h2(e13),h2(e13)) != op2(e21,e21)
| op2(op2(e21,e21),h2(e13)) != e21
| op2(h2(e13),op2(e21,e21)) != e21
| op2(e21,h2(e13)) != h2(e13)
| op2(h2(e13),e21) != h2(e13)
| op2(e21,e21) != e20
| h2(e13) != e22 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_400,c_0_297]),c_0_384]),c_0_401]),c_0_383]),c_0_389]),c_0_393]),c_0_205]),c_0_402]),c_0_205]),c_0_371]),c_0_383]),c_0_337]),c_0_384]),c_0_403]),c_0_384]),c_0_404]),c_0_384]),c_0_339]),c_0_205]),c_0_405]),c_0_383]),c_0_318]),c_0_387]) ).
cnf(c_0_415,plain,
h2(e13) = op2(e23,e20),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_406,c_0_348]),c_0_228]) ).
cnf(c_0_416,plain,
~ epred4_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_407]),c_0_408]) ).
cnf(c_0_417,plain,
op2(e21,e21) = e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_348]),c_0_228]) ).
cnf(c_0_418,plain,
op2(e23,e20) = e22,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_409,c_0_348]),c_0_228]) ).
cnf(c_0_419,plain,
op2(e23,e22) = e23,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_348]),c_0_228]) ).
cnf(c_0_420,plain,
op2(e22,e23) = e23,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_327,c_0_273]),c_0_363]) ).
cnf(c_0_421,plain,
op2(e20,e20) = e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_329,c_0_348]),c_0_228]) ).
cnf(c_0_422,plain,
op2(e23,e21) = e21,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_410,c_0_411])]),c_0_412]) ).
cnf(c_0_423,plain,
op2(e21,e22) = e22,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_413,c_0_348]),c_0_228]) ).
cnf(c_0_424,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_414,c_0_415]),c_0_415]),c_0_415]),c_0_415]),c_0_415]),c_0_415]),c_0_415]),c_0_415]),c_0_415]),c_0_415]),c_0_415]),c_0_415]),c_0_416]),c_0_417]),c_0_44]),c_0_417]),c_0_44]),c_0_398]),c_0_417]),c_0_417]),c_0_44]),c_0_418]),c_0_419]),c_0_417]),c_0_44]),c_0_418]),c_0_417]),c_0_44]),c_0_420]),c_0_417]),c_0_44]),c_0_417]),c_0_417]),c_0_44]),c_0_364]),c_0_418]),c_0_417]),c_0_417]),c_0_421]),c_0_417]),c_0_417]),c_0_411]),c_0_417]),c_0_44]),c_0_417]),c_0_44]),c_0_422]),c_0_417]),c_0_44]),c_0_379]),c_0_418]),c_0_418]),c_0_21]),c_0_417]),c_0_417]),c_0_418]),c_0_348]),c_0_418]),c_0_417]),c_0_29]),c_0_418]),c_0_423]),c_0_418]),c_0_418]),c_0_273]),c_0_418]),c_0_417]),c_0_418])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG107+1 : TPTP v8.1.2. Released v2.7.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.20/0.35 % WCLimit : 300
% 0.20/0.35 % DateTime : Fri May 3 13:59:53 EDT 2024
% 0.20/0.35 % CPUTime :
% 0.21/0.49 Running first-order model finding
% 0.21/0.49 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.AXSixAlta8/E---3.1_25922.p
% 0.51/0.75 # Version: 3.1.0
% 0.51/0.75 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.51/0.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.75 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.51/0.75 # Starting new_bool_3 with 300s (1) cores
% 0.51/0.75 # Starting new_bool_1 with 300s (1) cores
% 0.51/0.75 # Starting sh5l with 300s (1) cores
% 0.51/0.75 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 26002 completed with status 0
% 0.51/0.75 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.51/0.75 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.51/0.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.75 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.51/0.75 # No SInE strategy applied
% 0.51/0.75 # Search class: FGHSF-FMLM21-MFFFFFNN
% 0.51/0.75 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.51/0.75 # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 811s (1) cores
% 0.51/0.75 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.51/0.75 # Starting new_bool_3 with 136s (1) cores
% 0.51/0.75 # Starting new_bool_1 with 136s (1) cores
% 0.51/0.75 # Starting sh5l with 136s (1) cores
% 0.51/0.75 # new_bool_1 with pid 26011 completed with status 0
% 0.51/0.75 # Result found by new_bool_1
% 0.51/0.75 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.51/0.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.75 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.51/0.75 # No SInE strategy applied
% 0.51/0.75 # Search class: FGHSF-FMLM21-MFFFFFNN
% 0.51/0.75 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.51/0.75 # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 811s (1) cores
% 0.51/0.75 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.51/0.75 # Starting new_bool_3 with 136s (1) cores
% 0.51/0.75 # Starting new_bool_1 with 136s (1) cores
% 0.51/0.75 # Preprocessing time : 0.016 s
% 0.51/0.75 # Presaturation interreduction done
% 0.51/0.75
% 0.51/0.75 # Proof found!
% 0.51/0.75 # SZS status Theorem
% 0.51/0.75 # SZS output start CNFRefutation
% See solution above
% 0.51/0.75 # Parsed axioms : 18
% 0.51/0.75 # Removed by relevancy pruning/SinE : 0
% 0.51/0.75 # Initial clauses : 650
% 0.51/0.75 # Removed in clause preprocessing : 0
% 0.51/0.75 # Initial clauses in saturation : 650
% 0.51/0.75 # Processed clauses : 3174
% 0.51/0.75 # ...of these trivial : 157
% 0.51/0.75 # ...subsumed : 1647
% 0.51/0.75 # ...remaining for further processing : 1369
% 0.51/0.75 # Other redundant clauses eliminated : 0
% 0.51/0.75 # Clauses deleted for lack of memory : 0
% 0.51/0.75 # Backward-subsumed : 330
% 0.51/0.75 # Backward-rewritten : 579
% 0.51/0.75 # Generated clauses : 4835
% 0.51/0.75 # ...of the previous two non-redundant : 5039
% 0.51/0.75 # ...aggressively subsumed : 0
% 0.51/0.75 # Contextual simplify-reflections : 25
% 0.51/0.75 # Paramodulations : 4676
% 0.51/0.75 # Factorizations : 89
% 0.51/0.75 # NegExts : 0
% 0.51/0.75 # Equation resolutions : 0
% 0.51/0.75 # Disequality decompositions : 0
% 0.51/0.75 # Total rewrite steps : 13149
% 0.51/0.75 # ...of those cached : 13094
% 0.51/0.75 # Propositional unsat checks : 0
% 0.51/0.75 # Propositional check models : 0
% 0.51/0.75 # Propositional check unsatisfiable : 0
% 0.51/0.75 # Propositional clauses : 0
% 0.51/0.75 # Propositional clauses after purity: 0
% 0.51/0.75 # Propositional unsat core size : 0
% 0.51/0.75 # Propositional preprocessing time : 0.000
% 0.51/0.75 # Propositional encoding time : 0.000
% 0.51/0.75 # Propositional solver time : 0.000
% 0.51/0.75 # Success case prop preproc time : 0.000
% 0.51/0.75 # Success case prop encoding time : 0.000
% 0.51/0.75 # Success case prop solver time : 0.000
% 0.51/0.75 # Current number of processed clauses : 81
% 0.51/0.75 # Positive orientable unit clauses : 50
% 0.51/0.75 # Positive unorientable unit clauses: 0
% 0.51/0.75 # Negative unit clauses : 31
% 0.51/0.75 # Non-unit-clauses : 0
% 0.51/0.75 # Current number of unprocessed clauses: 1915
% 0.51/0.75 # ...number of literals in the above : 15372
% 0.51/0.75 # Current number of archived formulas : 0
% 0.51/0.75 # Current number of archived clauses : 1288
% 0.51/0.75 # Clause-clause subsumption calls (NU) : 45628
% 0.51/0.75 # Rec. Clause-clause subsumption calls : 11960
% 0.51/0.75 # Non-unit clause-clause subsumptions : 580
% 0.51/0.75 # Unit Clause-clause subsumption calls : 5141
% 0.51/0.75 # Rewrite failures with RHS unbound : 0
% 0.51/0.75 # BW rewrite match attempts : 44
% 0.51/0.75 # BW rewrite match successes : 44
% 0.51/0.75 # Condensation attempts : 0
% 0.51/0.75 # Condensation successes : 0
% 0.51/0.75 # Termbank termtop insertions : 208048
% 0.51/0.75 # Search garbage collected termcells : 2939
% 0.51/0.75
% 0.51/0.75 # -------------------------------------------------
% 0.51/0.75 # User time : 0.232 s
% 0.51/0.75 # System time : 0.012 s
% 0.51/0.75 # Total time : 0.244 s
% 0.51/0.75 # Maximum resident set size: 3088 pages
% 0.51/0.75
% 0.51/0.75 # -------------------------------------------------
% 0.51/0.75 # User time : 0.987 s
% 0.51/0.75 # System time : 0.031 s
% 0.51/0.75 # Total time : 1.018 s
% 0.51/0.75 # Maximum resident set size: 1876 pages
% 0.51/0.75 % E---3.1 exiting
%------------------------------------------------------------------------------