%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG125+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:52:30 AM UTC 2026
% Result : Theorem 3.41s 1.24s
% Output : CNFRefutation 3.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 20
% Syntax : Number of formulae : 435 ( 149 unt; 0 def)
% Number of atoms : 4129 (3860 equ)
% Maximal formula atoms : 1280 ( 9 avg)
% Number of connectives : 6280 (2586 ~;2650 |;1035 &)
% ( 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(ax10,axiom,
( ( op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& ( op1(e13,e13) = e13
| op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10 )
& ( ( op1(e13,op1(e13,e13)) != op1(e13,e13)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e10,op1(e13,e10)) != op1(e13,e10) )
| ( op1(e13,op1(e12,e13)) != op1(e12,e13)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e10,op1(e12,e10)) != op1(e12,e10) )
| ( op1(e13,op1(e11,e13)) != op1(e11,e13)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e10,op1(e11,e10)) != op1(e11,e10) )
| ( op1(e13,op1(e10,e13)) != op1(e10,e13)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e10,op1(e10,e10)) != op1(e10,e10) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(ax5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(ax12,axiom,
( e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13)))
& e11 = op1(e13,e13)
& e10 = op1(op1(e13,e13),op1(e13,e13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(ax7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(ax11,axiom,
( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& ( op2(e23,e23) = e23
| op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20 )
& ( ( op2(e23,op2(e23,e23)) != op2(e23,e23)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e20,op2(e23,e20)) != op2(e23,e20) )
| ( op2(e23,op2(e22,e23)) != op2(e22,e23)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e20,op2(e22,e20)) != op2(e22,e20) )
| ( op2(e23,op2(e21,e23)) != op2(e21,e23)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e20,op2(e21,e20)) != op2(e21,e20) )
| ( op2(e23,op2(e20,e23)) != op2(e20,e23)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e20,op2(e20,e20)) != op2(e20,e20) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(ax2,axiom,
( ( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 )
& ( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 )
& ( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 )
& ( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 )
& ( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 )
& ( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 )
& ( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 )
& ( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 )
& ( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 )
& ( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 )
& ( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 )
& ( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 )
& ( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 )
& ( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 )
& ( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 )
& ( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 )
& ( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 )
& ( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 )
& ( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 )
& ( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 )
& ( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 )
& ( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 )
& ( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 )
& ( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 )
& ( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 )
& ( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 )
& ( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 )
& ( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(ax6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(ax13,axiom,
( e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& e21 = op2(e23,e23)
& e20 = op2(op2(e23,e23),op2(e23,e23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(ax8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(ax1,axiom,
( ( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 )
& ( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 )
& ( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 )
& ( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 )
& ( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 )
& ( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 )
& ( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 )
& ( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 )
& ( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 )
& ( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 )
& ( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 )
& ( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 )
& ( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(ax4,axiom,
( ( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 )
& ( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 )
& ( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 )
& ( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 )
& ( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 )
& ( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 )
& ( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 )
& ( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 )
& ( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 )
& ( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 )
& ( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 )
& ( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 )
& ( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 )
& ( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 )
& ( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 )
& ( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 )
& ( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 )
& ( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 )
& ( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 )
& ( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 )
& ( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 )
& ( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 )
& ( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 )
& ( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 )
& ( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 )
& ( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 )
& ( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 )
& ( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(ax3,axiom,
( ( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 )
& ( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 )
& ( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 )
& ( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 )
& ( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 )
& ( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 )
& ( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 )
& ( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 )
& ( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 )
& ( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 )
& ( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 )
& ( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 )
& ( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(co1,conjecture,
( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(ax17,axiom,
( h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e11) = op2(e23,e23)
& h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e13) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(c_0_14,plain,
( epred1_0
<=> ( ( op1(e13,op1(e12,e13)) != op1(e12,e13)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e10,op1(e12,e10)) != op1(e12,e10) )
| ( op1(e13,op1(e11,e13)) != op1(e11,e13)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e10,op1(e11,e10)) != op1(e11,e10) )
| ( op1(e13,op1(e10,e13)) != op1(e10,e13)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e10,op1(e10,e10)) != op1(e10,e10) ) ) ),
introduced(definition) ).
fof(c_0_15,plain,
( ( op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& ( op1(e13,e13) = e13
| op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10 )
& ( ( op1(e13,op1(e13,e13)) != op1(e13,e13)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e10,op1(e13,e10)) != op1(e13,e10) )
| epred1_0 ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax10]),c_0_14]) ).
fof(c_0_16,plain,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
inference(fof_simplification,[status(thm)],[ax5]) ).
fof(c_0_17,plain,
( ( op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& ( op1(e13,e13) = e13
| op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10 )
& ( epred1_0
| op1(e13,op1(e13,e13)) != op1(e13,e13) )
& ( epred1_0
| op1(e12,op1(e13,e12)) != op1(e13,e12) )
& ( epred1_0
| op1(e11,op1(e13,e11)) != op1(e13,e11) )
& ( epred1_0
| op1(e10,op1(e13,e10)) != op1(e13,e10) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])]) ).
cnf(c_0_18,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_19,plain,
e11 = op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax12]) ).
fof(c_0_20,plain,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
inference(fof_simplification,[status(thm)],[ax7]) ).
fof(c_0_21,plain,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
inference(fof_nnf,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
( op1(e11,e11) != e10
| op1(e11,e10) = e11 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
op1(e11,e11) = e10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19]),c_0_19]) ).
fof(c_0_24,plain,
( epred2_0
<=> ( ( op2(e23,op2(e22,e23)) != op2(e22,e23)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e20,op2(e22,e20)) != op2(e22,e20) )
| ( op2(e23,op2(e21,e23)) != op2(e21,e23)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e20,op2(e21,e20)) != op2(e21,e20) )
| ( op2(e23,op2(e20,e23)) != op2(e20,e23)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e20,op2(e20,e20)) != op2(e20,e20) ) ) ),
introduced(definition) ).
cnf(c_0_25,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_26,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e13 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_27,plain,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
inference(fof_nnf,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
op1(e11,e10) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
op1(e11,e10) = e11,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23])]) ).
cnf(c_0_30,plain,
op1(e13,e12) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_31,plain,
( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& ( op2(e23,e23) = e23
| op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20 )
& ( ( op2(e23,op2(e23,e23)) != op2(e23,e23)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e20,op2(e23,e20)) != op2(e23,e20) )
| epred2_0 ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax11]),c_0_24]) ).
cnf(c_0_32,plain,
op1(e11,e11) != op1(e12,e11),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33,plain,
( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_34,plain,
op1(e13,e10) = e12,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_19]),c_0_19]),c_0_23]) ).
cnf(c_0_35,plain,
op1(e13,e11) = e13,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_19])]) ).
cnf(c_0_36,plain,
e10 != e12,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,plain,
e10 != e13,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_38,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_39,plain,
op1(e11,e10) != op1(e12,e10),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_40,plain,
op1(e12,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_41,plain,
op1(e13,e10) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_42,plain,
op1(e11,e11) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_43,plain,
op1(e11,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_44,plain,
op1(e10,e11) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_45,plain,
( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_46,plain,
op1(e11,e12) != e11,
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_47,plain,
op1(e13,e12) != e11,
inference(rw,[status(thm)],[c_0_30,c_0_19]) ).
cnf(c_0_48,plain,
op1(e13,e11) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_49,plain,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
inference(fof_simplification,[status(thm)],[ax6]) ).
cnf(c_0_50,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_51,plain,
e21 = op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax13]) ).
fof(c_0_52,plain,
( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& ( op2(e23,e23) = e23
| op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20 )
& ( epred2_0
| op2(e23,op2(e23,e23)) != op2(e23,e23) )
& ( epred2_0
| op2(e22,op2(e23,e22)) != op2(e23,e22) )
& ( epred2_0
| op2(e21,op2(e23,e21)) != op2(e23,e21) )
& ( epred2_0
| op2(e20,op2(e23,e20)) != op2(e23,e20) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).
fof(c_0_53,plain,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
inference(fof_simplification,[status(thm)],[ax8]) ).
cnf(c_0_54,plain,
( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_55,plain,
op1(e12,e11) != e10,
inference(rw,[status(thm)],[c_0_32,c_0_23]) ).
cnf(c_0_56,plain,
op1(e12,e12) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_57,plain,
op1(e13,e12) = e10,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_19]),c_0_36]),c_0_37]),c_0_38]) ).
cnf(c_0_58,plain,
op1(e10,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_59,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_60,plain,
op1(e12,e10) != e11,
inference(rw,[status(thm)],[c_0_39,c_0_29]) ).
cnf(c_0_61,plain,
op1(e12,e13) != e11,
inference(rw,[status(thm)],[c_0_40,c_0_19]) ).
cnf(c_0_62,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_63,plain,
op1(e13,e12) != e12,
inference(rw,[status(thm)],[c_0_41,c_0_34]) ).
cnf(c_0_64,plain,
( op1(e11,op1(e13,e11)) != op1(e13,e11)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_65,plain,
( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_66,plain,
op1(e11,e13) != e10,
inference(rw,[status(thm)],[c_0_42,c_0_23]) ).
cnf(c_0_67,plain,
op1(e11,e13) != e11,
inference(rw,[status(thm)],[c_0_43,c_0_19]) ).
cnf(c_0_68,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_69,plain,
op1(e10,e11) != e13,
inference(rw,[status(thm)],[c_0_44,c_0_35]) ).
cnf(c_0_70,plain,
( op1(e12,e12) != e11
| op1(e12,e11) = e12 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_71,plain,
( op1(e10,e12) = e11
| op1(e12,e12) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
cnf(c_0_72,plain,
( op1(e13,e13) = e13
| op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_73,plain,
e11 != e13,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_74,plain,
( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_75,plain,
op1(e13,e12) != e13,
inference(rw,[status(thm)],[c_0_48,c_0_35]) ).
fof(c_0_76,plain,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
inference(fof_nnf,[status(thm)],[c_0_49]) ).
cnf(c_0_77,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_78,plain,
op2(e21,e21) = e20,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51]),c_0_51]) ).
cnf(c_0_79,plain,
( op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_80,plain,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
inference(fof_nnf,[status(thm)],[c_0_53]) ).
cnf(c_0_81,plain,
( op2(e21,e21) != e20
| op2(e21,e20) = e21 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_82,plain,
( op1(e12,e10) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference(sr,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_83,plain,
op1(e12,e12) != e10,
inference(rw,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_84,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_85,plain,
op1(e10,e13) != e11,
inference(rw,[status(thm)],[c_0_58,c_0_19]) ).
cnf(c_0_86,plain,
( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_87,plain,
e12 != e13,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_88,plain,
op1(e10,e12) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_89,plain,
( op1(e12,e11) = e11
| op1(e12,e12) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).
cnf(c_0_90,plain,
( op1(e10,op1(e13,e10)) != op1(e13,e10)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_91,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12 ),
inference(sr,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_92,plain,
e11 != e12,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_93,plain,
( op1(e11,e13) != e13
| epred1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_35]),c_0_35]) ).
cnf(c_0_94,plain,
( op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
cnf(c_0_95,plain,
op1(e10,e13) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_96,plain,
( op1(e10,e10) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(sr,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_97,plain,
op1(e10,e11) != op1(e12,e11),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_98,plain,
( op1(e12,e11) = e12
| op1(e10,e12) = e11 ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_99,plain,
( op1(e10,e10) = e10
| op1(e12,e12) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_23]),c_0_19]),c_0_38]),c_0_73]) ).
cnf(c_0_100,plain,
( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13 ),
inference(sr,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_101,plain,
( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_102,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_103,plain,
( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_104,plain,
op2(e21,e21) != op2(e22,e21),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_105,plain,
( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_106,plain,
op2(e23,e20) = e22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_51]),c_0_51]),c_0_78]) ).
cnf(c_0_107,plain,
op2(e23,e21) = e23,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_51])]) ).
cnf(c_0_108,plain,
e20 != e22,
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_109,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_110,plain,
e20 != e21,
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_111,plain,
( op2(e23,e23) = e23
| op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_112,plain,
e21 != e23,
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_113,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_114,plain,
op2(e21,e20) = e21,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_78])]) ).
cnf(c_0_115,plain,
e21 != e22,
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_116,plain,
( op1(e12,op1(e13,e12)) != op1(e13,e12)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_117,plain,
op1(e10,e13) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_118,plain,
( op1(e12,e13) = e10
| op1(e12,e10) = e10 ),
inference(sr,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_119,plain,
op1(e10,e12) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_120,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(sr,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_121,plain,
( op1(e10,e11) = e12
| op1(e12,e11) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_23]),c_0_35]),c_0_36]),c_0_87]) ).
cnf(c_0_122,plain,
( op1(e10,e12) != e11
| op1(e12,e11) = e11 ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_123,plain,
( op1(e10,e12) != e12
| epred1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_34]),c_0_34]) ).
cnf(c_0_124,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_91]),c_0_92]) ).
cnf(c_0_125,plain,
op1(e11,e12) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_126,plain,
( epred1_0
| op1(e11,e13) = e12 ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_127,plain,
op1(e12,e11) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_128,plain,
op1(e12,e11) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_129,plain,
( op1(e12,e12) != e13
| op1(e12,e13) = e12 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_130,plain,
( op1(e11,e13) != e13
| op1(e10,e12) = e13
| op1(e10,e10) = e13 ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_131,plain,
( op1(e10,e11) != e12
| op1(e10,e12) = e11 ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_132,plain,
( op1(e10,e10) = e10
| op1(e10,e12) = e11 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_71]),c_0_92]) ).
cnf(c_0_133,plain,
( op1(e10,e10) = e10
| op1(e11,e12) = e13
| op1(e10,e12) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_87]) ).
cnf(c_0_134,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_135,plain,
op1(e12,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_136,plain,
op1(e12,e10) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_137,plain,
( op1(e10,e13) = e10
| op1(e12,e13) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_19]),c_0_66]),c_0_38]) ).
cnf(c_0_138,plain,
( op1(e10,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_29]),c_0_38]) ).
cnf(c_0_139,plain,
op1(e12,e12) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_140,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_19]),c_0_92]) ).
cnf(c_0_141,plain,
( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_142,plain,
op2(e22,e21) != e20,
inference(rw,[status(thm)],[c_0_104,c_0_78]) ).
cnf(c_0_143,plain,
op2(e22,e22) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_144,plain,
op2(e23,e22) = e20,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_106]),c_0_107]),c_0_51]),c_0_108]),c_0_109]),c_0_110]) ).
cnf(c_0_145,plain,
( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_146,plain,
op2(e21,e22) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_147,plain,
( op2(e20,e20) = e20
| op2(e22,e22) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_78]),c_0_51]),c_0_110]),c_0_112]) ).
cnf(c_0_148,plain,
op2(e20,e23) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_149,plain,
( op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_114]),c_0_78]),c_0_115]),c_0_108]) ).
cnf(c_0_150,plain,
( op1(e12,e10) != e10
| epred1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_57]),c_0_57]) ).
cnf(c_0_151,plain,
( op1(e10,e13) != e10
| op1(e12,e10) = e10 ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_152,plain,
op1(e10,e11) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_153,plain,
( op1(e10,e12) != e13
| op1(e10,e13) = e12
| op1(e10,e13) = e10 ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_154,plain,
( op1(e10,e12) != e11
| op1(e10,e11) = e12 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_92]) ).
cnf(c_0_155,plain,
( epred1_0
| op1(e11,e12) = e12
| op1(e10,e12) = e11 ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_156,plain,
( op1(e11,e12) != e12
| epred1_0 ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_157,plain,
op1(e10,e12) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_158,plain,
( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_159,plain,
op1(e12,e11) != e13,
inference(rw,[status(thm)],[c_0_127,c_0_35]) ).
cnf(c_0_160,plain,
( op1(e12,e12) != e13
| op1(e12,e11) != e12 ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_161,plain,
( op1(e10,e11) != e12
| op1(e11,e13) != e13
| op1(e10,e10) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_73]) ).
cnf(c_0_162,plain,
( op1(e10,e10) = e10
| op1(e11,e12) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_73]) ).
cnf(c_0_163,plain,
( op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_29]),c_0_23]),c_0_73]),c_0_37]) ).
cnf(c_0_164,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_165,plain,
op1(e12,e10) != e12,
inference(rw,[status(thm)],[c_0_135,c_0_34]) ).
cnf(c_0_166,plain,
( op1(e12,e10) != e10
| op1(e10,e13) = e10 ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_167,plain,
( op1(e12,e10) = e10
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_34]),c_0_36]) ).
cnf(c_0_168,plain,
( op1(e12,e12) != e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_169,plain,
( op2(e22,e20) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
inference(sr,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_170,plain,
op2(e22,e22) != e20,
inference(rw,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_171,plain,
op2(e22,e22) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_172,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_51]),c_0_115]) ).
cnf(c_0_173,plain,
( op2(e21,e22) != e22
| op2(e20,e20) = e20 ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_174,plain,
( op2(e20,e23) != e22
| op2(e21,e22) = e22 ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_175,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
fof(c_0_176,plain,
( epred1_0
=> ( ( op1(e13,op1(e12,e13)) != op1(e12,e13)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e10,op1(e12,e10)) != op1(e12,e10) )
| ( op1(e13,op1(e11,e13)) != op1(e11,e13)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e10,op1(e11,e10)) != op1(e11,e10) )
| ( op1(e13,op1(e10,e13)) != op1(e10,e13)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e10,op1(e10,e10)) != op1(e10,e10) ) ) ),
inference(split_equiv,[status(thm)],[c_0_14]) ).
cnf(c_0_177,plain,
( op1(e10,e13) != e10
| epred1_0 ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_178,plain,
( op1(e10,e12) != e13
| op1(e10,e11) != e12
| op1(e10,e13) = e10 ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_179,plain,
( epred1_0
| op1(e10,e11) = e12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156]) ).
cnf(c_0_180,plain,
( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_181,plain,
op1(e10,e12) != e10,
inference(rw,[status(thm)],[c_0_157,c_0_57]) ).
cnf(c_0_182,plain,
( op1(e12,e10) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
inference(sr,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_183,plain,
( op1(e12,e11) != e12
| op1(e11,e12) = e13
| op1(e10,e12) = e13 ),
inference(spm,[status(thm)],[c_0_160,c_0_100]) ).
cnf(c_0_184,plain,
( op1(e10,e11) != e12
| op1(e11,e12) = e13 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_37]),c_0_163]) ).
cnf(c_0_185,plain,
op1(e11,e13) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_186,plain,
( op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 ),
inference(sr,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_187,plain,
( op1(e10,e13) = e10
| op1(e10,e10) = e10 ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_188,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e10) = e10 ),
inference(spm,[status(thm)],[c_0_168,c_0_99]) ).
cnf(c_0_189,plain,
op2(e21,e20) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_190,plain,
op2(e23,e22) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_191,plain,
op2(e23,e20) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_192,plain,
( op2(e22,e23) = e20
| op2(e22,e20) = e20 ),
inference(sr,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_193,plain,
( op2(e22,e22) != e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_194,plain,
( op2(e20,e23) != e22
| op2(e20,e20) = e20 ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_195,plain,
( op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_114]),c_0_78]),c_0_112]),c_0_109]) ).
cnf(c_0_196,plain,
e22 != e23,
inference(split_conjunct,[status(thm)],[c_0_80]) ).
fof(c_0_197,plain,
( ( ~ epred1_0
| op1(e13,op1(e10,e13)) != op1(e10,e13)
| op1(e13,op1(e11,e13)) != op1(e11,e13)
| op1(e13,op1(e12,e13)) != op1(e12,e13) )
& ( ~ epred1_0
| op1(e13,op1(e10,e13)) != op1(e10,e13)
| op1(e13,op1(e11,e13)) != op1(e11,e13)
| op1(e12,op1(e12,e12)) != op1(e12,e12) )
& ( ~ epred1_0
| op1(e13,op1(e10,e13)) != op1(e10,e13)
| op1(e13,op1(e11,e13)) != op1(e11,e13)
| op1(e11,op1(e12,e11)) != op1(e12,e11) )
& ( ~ epred1_0
| op1(e13,op1(e10,e13)) != op1(e10,e13)
| op1(e13,op1(e11,e13)) != op1(e11,e13)
| op1(e10,op1(e12,e10)) != op1(e12,e10) )
& ( ~ epred1_0
| op1(e13,op1(e10,e13)) != op1(e10,e13)
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e13,op1(e12,e13)) != op1(e12,e13) )
& ( ~ epred1_0
| op1(e13,op1(e10,e13)) != op1(e10,e13)
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e12,op1(e12,e12)) != op1(e12,e12) )
& ( ~ epred1_0
| op1(e13,op1(e10,e13)) != op1(e10,e13)
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e11,op1(e12,e11)) != op1(e12,e11) )
& ( ~ epred1_0
| op1(e13,op1(e10,e13)) != op1(e10,e13)
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e10,op1(e12,e10)) != op1(e12,e10) )
& ( ~ epred1_0
| op1(e13,op1(e10,e13)) != op1(e10,e13)
| op1(e11,op1(e11,e11)) != op1(e11,e11)
| op1(e13,op1(e12,e13)) != op1(e12,e13) )
& ( ~ epred1_0
| op1(e13,op1(e10,e13)) != op1(e10,e13)
| op1(e11,op1(e11,e11)) != op1(e11,e11)
| op1(e12,op1(e12,e12)) != op1(e12,e12) )
& ( ~ epred1_0
| op1(e13,op1(e10,e13)) != op1(e10,e13)
| op1(e11,op1(e11,e11)) != op1(e11,e11)
| op1(e11,op1(e12,e11)) != op1(e12,e11) )
& ( ~ epred1_0
| op1(e13,op1(e10,e13)) != op1(e10,e13)
| op1(e11,op1(e11,e11)) != op1(e11,e11)
| op1(e10,op1(e12,e10)) != op1(e12,e10) )
& ( ~ epred1_0
| op1(e13,op1(e10,e13)) != op1(e10,e13)
| op1(e10,op1(e11,e10)) != op1(e11,e10)
| op1(e13,op1(e12,e13)) != op1(e12,e13) )
& ( ~ epred1_0
| op1(e13,op1(e10,e13)) != op1(e10,e13)
| op1(e10,op1(e11,e10)) != op1(e11,e10)
| op1(e12,op1(e12,e12)) != op1(e12,e12) )
& ( ~ epred1_0
| op1(e13,op1(e10,e13)) != op1(e10,e13)
| op1(e10,op1(e11,e10)) != op1(e11,e10)
| op1(e11,op1(e12,e11)) != op1(e12,e11) )
& ( ~ epred1_0
| op1(e13,op1(e10,e13)) != op1(e10,e13)
| op1(e10,op1(e11,e10)) != op1(e11,e10)
| op1(e10,op1(e12,e10)) != op1(e12,e10) )
& ( ~ epred1_0
| op1(e12,op1(e10,e12)) != op1(e10,e12)
| op1(e13,op1(e11,e13)) != op1(e11,e13)
| op1(e13,op1(e12,e13)) != op1(e12,e13) )
& ( ~ epred1_0
| op1(e12,op1(e10,e12)) != op1(e10,e12)
| op1(e13,op1(e11,e13)) != op1(e11,e13)
| op1(e12,op1(e12,e12)) != op1(e12,e12) )
& ( ~ epred1_0
| op1(e12,op1(e10,e12)) != op1(e10,e12)
| op1(e13,op1(e11,e13)) != op1(e11,e13)
| op1(e11,op1(e12,e11)) != op1(e12,e11) )
& ( ~ epred1_0
| op1(e12,op1(e10,e12)) != op1(e10,e12)
| op1(e13,op1(e11,e13)) != op1(e11,e13)
| op1(e10,op1(e12,e10)) != op1(e12,e10) )
& ( ~ epred1_0
| op1(e12,op1(e10,e12)) != op1(e10,e12)
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e13,op1(e12,e13)) != op1(e12,e13) )
& ( ~ epred1_0
| op1(e12,op1(e10,e12)) != op1(e10,e12)
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e12,op1(e12,e12)) != op1(e12,e12) )
& ( ~ epred1_0
| op1(e12,op1(e10,e12)) != op1(e10,e12)
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e11,op1(e12,e11)) != op1(e12,e11) )
& ( ~ epred1_0
| op1(e12,op1(e10,e12)) != op1(e10,e12)
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e10,op1(e12,e10)) != op1(e12,e10) )
& ( ~ epred1_0
| op1(e12,op1(e10,e12)) != op1(e10,e12)
| op1(e11,op1(e11,e11)) != op1(e11,e11)
| op1(e13,op1(e12,e13)) != op1(e12,e13) )
& ( ~ epred1_0
| op1(e12,op1(e10,e12)) != op1(e10,e12)
| op1(e11,op1(e11,e11)) != op1(e11,e11)
| op1(e12,op1(e12,e12)) != op1(e12,e12) )
& ( ~ epred1_0
| op1(e12,op1(e10,e12)) != op1(e10,e12)
| op1(e11,op1(e11,e11)) != op1(e11,e11)
| op1(e11,op1(e12,e11)) != op1(e12,e11) )
& ( ~ epred1_0
| op1(e12,op1(e10,e12)) != op1(e10,e12)
| op1(e11,op1(e11,e11)) != op1(e11,e11)
| op1(e10,op1(e12,e10)) != op1(e12,e10) )
& ( ~ epred1_0
| op1(e12,op1(e10,e12)) != op1(e10,e12)
| op1(e10,op1(e11,e10)) != op1(e11,e10)
| op1(e13,op1(e12,e13)) != op1(e12,e13) )
& ( ~ epred1_0
| op1(e12,op1(e10,e12)) != op1(e10,e12)
| op1(e10,op1(e11,e10)) != op1(e11,e10)
| op1(e12,op1(e12,e12)) != op1(e12,e12) )
& ( ~ epred1_0
| op1(e12,op1(e10,e12)) != op1(e10,e12)
| op1(e10,op1(e11,e10)) != op1(e11,e10)
| op1(e11,op1(e12,e11)) != op1(e12,e11) )
& ( ~ epred1_0
| op1(e12,op1(e10,e12)) != op1(e10,e12)
| op1(e10,op1(e11,e10)) != op1(e11,e10)
| op1(e10,op1(e12,e10)) != op1(e12,e10) )
& ( ~ epred1_0
| op1(e11,op1(e10,e11)) != op1(e10,e11)
| op1(e13,op1(e11,e13)) != op1(e11,e13)
| op1(e13,op1(e12,e13)) != op1(e12,e13) )
& ( ~ epred1_0
| op1(e11,op1(e10,e11)) != op1(e10,e11)
| op1(e13,op1(e11,e13)) != op1(e11,e13)
| op1(e12,op1(e12,e12)) != op1(e12,e12) )
& ( ~ epred1_0
| op1(e11,op1(e10,e11)) != op1(e10,e11)
| op1(e13,op1(e11,e13)) != op1(e11,e13)
| op1(e11,op1(e12,e11)) != op1(e12,e11) )
& ( ~ epred1_0
| op1(e11,op1(e10,e11)) != op1(e10,e11)
| op1(e13,op1(e11,e13)) != op1(e11,e13)
| op1(e10,op1(e12,e10)) != op1(e12,e10) )
& ( ~ epred1_0
| op1(e11,op1(e10,e11)) != op1(e10,e11)
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e13,op1(e12,e13)) != op1(e12,e13) )
& ( ~ epred1_0
| op1(e11,op1(e10,e11)) != op1(e10,e11)
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e12,op1(e12,e12)) != op1(e12,e12) )
& ( ~ epred1_0
| op1(e11,op1(e10,e11)) != op1(e10,e11)
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e11,op1(e12,e11)) != op1(e12,e11) )
& ( ~ epred1_0
| op1(e11,op1(e10,e11)) != op1(e10,e11)
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e10,op1(e12,e10)) != op1(e12,e10) )
& ( ~ epred1_0
| op1(e11,op1(e10,e11)) != op1(e10,e11)
| op1(e11,op1(e11,e11)) != op1(e11,e11)
| op1(e13,op1(e12,e13)) != op1(e12,e13) )
& ( ~ epred1_0
| op1(e11,op1(e10,e11)) != op1(e10,e11)
| op1(e11,op1(e11,e11)) != op1(e11,e11)
| op1(e12,op1(e12,e12)) != op1(e12,e12) )
& ( ~ epred1_0
| op1(e11,op1(e10,e11)) != op1(e10,e11)
| op1(e11,op1(e11,e11)) != op1(e11,e11)
| op1(e11,op1(e12,e11)) != op1(e12,e11) )
& ( ~ epred1_0
| op1(e11,op1(e10,e11)) != op1(e10,e11)
| op1(e11,op1(e11,e11)) != op1(e11,e11)
| op1(e10,op1(e12,e10)) != op1(e12,e10) )
& ( ~ epred1_0
| op1(e11,op1(e10,e11)) != op1(e10,e11)
| op1(e10,op1(e11,e10)) != op1(e11,e10)
| op1(e13,op1(e12,e13)) != op1(e12,e13) )
& ( ~ epred1_0
| op1(e11,op1(e10,e11)) != op1(e10,e11)
| op1(e10,op1(e11,e10)) != op1(e11,e10)
| op1(e12,op1(e12,e12)) != op1(e12,e12) )
& ( ~ epred1_0
| op1(e11,op1(e10,e11)) != op1(e10,e11)
| op1(e10,op1(e11,e10)) != op1(e11,e10)
| op1(e11,op1(e12,e11)) != op1(e12,e11) )
& ( ~ epred1_0
| op1(e11,op1(e10,e11)) != op1(e10,e11)
| op1(e10,op1(e11,e10)) != op1(e11,e10)
| op1(e10,op1(e12,e10)) != op1(e12,e10) )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e13,op1(e11,e13)) != op1(e11,e13)
| op1(e13,op1(e12,e13)) != op1(e12,e13) )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e13,op1(e11,e13)) != op1(e11,e13)
| op1(e12,op1(e12,e12)) != op1(e12,e12) )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e13,op1(e11,e13)) != op1(e11,e13)
| op1(e11,op1(e12,e11)) != op1(e12,e11) )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e13,op1(e11,e13)) != op1(e11,e13)
| op1(e10,op1(e12,e10)) != op1(e12,e10) )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e13,op1(e12,e13)) != op1(e12,e13) )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e12,op1(e12,e12)) != op1(e12,e12) )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e11,op1(e12,e11)) != op1(e12,e11) )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e10,op1(e12,e10)) != op1(e12,e10) )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e11,op1(e11,e11)) != op1(e11,e11)
| op1(e13,op1(e12,e13)) != op1(e12,e13) )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e11,op1(e11,e11)) != op1(e11,e11)
| op1(e12,op1(e12,e12)) != op1(e12,e12) )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e11,op1(e11,e11)) != op1(e11,e11)
| op1(e11,op1(e12,e11)) != op1(e12,e11) )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e11,op1(e11,e11)) != op1(e11,e11)
| op1(e10,op1(e12,e10)) != op1(e12,e10) )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e10,op1(e11,e10)) != op1(e11,e10)
| op1(e13,op1(e12,e13)) != op1(e12,e13) )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e10,op1(e11,e10)) != op1(e11,e10)
| op1(e12,op1(e12,e12)) != op1(e12,e12) )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e10,op1(e11,e10)) != op1(e11,e10)
| op1(e11,op1(e12,e11)) != op1(e12,e11) )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e10,op1(e11,e10)) != op1(e11,e10)
| op1(e10,op1(e12,e10)) != op1(e12,e10) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_176])])]) ).
cnf(c_0_198,plain,
( op1(e10,e12) != e13
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179]) ).
cnf(c_0_199,plain,
( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11 ),
inference(sr,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_200,plain,
op1(e11,e12) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_201,plain,
( op1(e10,e13) != e13
| op1(e12,e12) = e13
| op1(e12,e10) = e13 ),
inference(spm,[status(thm)],[c_0_117,c_0_182]) ).
cnf(c_0_202,plain,
op1(e10,e10) != op1(e10,e12),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_203,plain,
( op1(e10,e12) = e13
| op1(e11,e12) = e13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_121]),c_0_184]) ).
cnf(c_0_204,plain,
( op1(e11,e13) != e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12 ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_205,plain,
( op1(e10,e10) = e10
| op1(e11,e13) = e12 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_36]) ).
cnf(c_0_206,plain,
op1(e10,e11) != op1(e11,e11),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_207,plain,
( op2(e21,op2(e23,e21)) != op2(e23,e21)
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_208,plain,
( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_209,plain,
op2(e21,e22) != e21,
inference(rw,[status(thm)],[c_0_189,c_0_114]) ).
cnf(c_0_210,plain,
op2(e23,e22) != e21,
inference(rw,[status(thm)],[c_0_190,c_0_51]) ).
cnf(c_0_211,plain,
( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_212,plain,
op2(e23,e22) != e22,
inference(rw,[status(thm)],[c_0_191,c_0_106]) ).
cnf(c_0_213,plain,
op2(e20,e23) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_214,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e22 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_215,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_216,plain,
op2(e20,e20) != op2(e22,e20),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_217,plain,
( op2(e21,e23) = e22
| op2(e20,e23) = e22
| op2(e22,e20) = e20 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_192]),c_0_108]) ).
cnf(c_0_218,plain,
( op2(e21,e23) = e22
| op2(e20,e20) = e20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_147]),c_0_194]) ).
fof(c_0_219,plain,
( epred2_0
=> ( ( op2(e23,op2(e22,e23)) != op2(e22,e23)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e20,op2(e22,e20)) != op2(e22,e20) )
| ( op2(e23,op2(e21,e23)) != op2(e21,e23)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e20,op2(e21,e20)) != op2(e21,e20) )
| ( op2(e23,op2(e20,e23)) != op2(e20,e23)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e20,op2(e20,e20)) != op2(e20,e20) ) ) ),
inference(split_equiv,[status(thm)],[c_0_24]) ).
cnf(c_0_220,plain,
( op2(e22,op2(e23,e22)) != op2(e23,e22)
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_221,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_222,plain,
op2(e23,e21) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_223,plain,
op2(e20,e22) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_224,plain,
( op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_195]),c_0_196]) ).
cnf(c_0_225,plain,
op2(e22,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_226,plain,
op2(e21,e21) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_227,plain,
op2(e21,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_228,plain,
( ~ epred1_0
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e10,op1(e11,e10)) != op1(e11,e10)
| op1(e10,op1(e12,e10)) != op1(e12,e10) ),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
cnf(c_0_229,plain,
( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_230,plain,
op1(e10,e11) != op1(e10,e12),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_231,plain,
( epred1_0
| op1(e10,e12) = e11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_123]) ).
cnf(c_0_232,plain,
op1(e10,e10) != op1(e12,e10),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_233,plain,
( op1(e10,e13) != e13
| op1(e11,e12) != e13
| op1(e12,e10) = e13 ),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_234,plain,
( op1(e10,e10) != e13
| op1(e11,e12) = e13 ),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_235,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_236,plain,
( op1(e11,e13) != e12
| op1(e11,e12) != e12
| op1(e12,e11) = e12 ),
inference(spm,[status(thm)],[c_0_200,c_0_204]) ).
cnf(c_0_237,plain,
( op1(e10,e11) != e12
| op1(e11,e13) = e12 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_205]),c_0_37]),c_0_94]) ).
cnf(c_0_238,plain,
( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_239,plain,
op1(e10,e11) != e10,
inference(rw,[status(thm)],[c_0_206,c_0_23]) ).
cnf(c_0_240,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_241,plain,
op2(e21,e20) != op2(e22,e20),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_242,plain,
op2(e22,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_243,plain,
( op2(e21,e23) != e23
| epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_107]),c_0_107]) ).
cnf(c_0_244,plain,
( op2(e20,e22) = e21
| op2(e22,e22) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_208,c_0_209]),c_0_210]) ).
cnf(c_0_245,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22 ),
inference(sr,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_246,plain,
( op2(e20,op2(e23,e20)) != op2(e23,e20)
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_247,plain,
( op2(e22,e22) != e23
| op2(e20,e23) != e22 ),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_248,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21 ),
inference(sr,[status(thm)],[c_0_215,c_0_170]) ).
cnf(c_0_249,plain,
op2(e21,e22) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_250,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218]) ).
fof(c_0_251,plain,
( ( ~ epred2_0
| op2(e23,op2(e20,e23)) != op2(e20,e23)
| op2(e23,op2(e21,e23)) != op2(e21,e23)
| op2(e23,op2(e22,e23)) != op2(e22,e23) )
& ( ~ epred2_0
| op2(e23,op2(e20,e23)) != op2(e20,e23)
| op2(e23,op2(e21,e23)) != op2(e21,e23)
| op2(e22,op2(e22,e22)) != op2(e22,e22) )
& ( ~ epred2_0
| op2(e23,op2(e20,e23)) != op2(e20,e23)
| op2(e23,op2(e21,e23)) != op2(e21,e23)
| op2(e21,op2(e22,e21)) != op2(e22,e21) )
& ( ~ epred2_0
| op2(e23,op2(e20,e23)) != op2(e20,e23)
| op2(e23,op2(e21,e23)) != op2(e21,e23)
| op2(e20,op2(e22,e20)) != op2(e22,e20) )
& ( ~ epred2_0
| op2(e23,op2(e20,e23)) != op2(e20,e23)
| op2(e22,op2(e21,e22)) != op2(e21,e22)
| op2(e23,op2(e22,e23)) != op2(e22,e23) )
& ( ~ epred2_0
| op2(e23,op2(e20,e23)) != op2(e20,e23)
| op2(e22,op2(e21,e22)) != op2(e21,e22)
| op2(e22,op2(e22,e22)) != op2(e22,e22) )
& ( ~ epred2_0
| op2(e23,op2(e20,e23)) != op2(e20,e23)
| op2(e22,op2(e21,e22)) != op2(e21,e22)
| op2(e21,op2(e22,e21)) != op2(e22,e21) )
& ( ~ epred2_0
| op2(e23,op2(e20,e23)) != op2(e20,e23)
| op2(e22,op2(e21,e22)) != op2(e21,e22)
| op2(e20,op2(e22,e20)) != op2(e22,e20) )
& ( ~ epred2_0
| op2(e23,op2(e20,e23)) != op2(e20,e23)
| op2(e21,op2(e21,e21)) != op2(e21,e21)
| op2(e23,op2(e22,e23)) != op2(e22,e23) )
& ( ~ epred2_0
| op2(e23,op2(e20,e23)) != op2(e20,e23)
| op2(e21,op2(e21,e21)) != op2(e21,e21)
| op2(e22,op2(e22,e22)) != op2(e22,e22) )
& ( ~ epred2_0
| op2(e23,op2(e20,e23)) != op2(e20,e23)
| op2(e21,op2(e21,e21)) != op2(e21,e21)
| op2(e21,op2(e22,e21)) != op2(e22,e21) )
& ( ~ epred2_0
| op2(e23,op2(e20,e23)) != op2(e20,e23)
| op2(e21,op2(e21,e21)) != op2(e21,e21)
| op2(e20,op2(e22,e20)) != op2(e22,e20) )
& ( ~ epred2_0
| op2(e23,op2(e20,e23)) != op2(e20,e23)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e23,op2(e22,e23)) != op2(e22,e23) )
& ( ~ epred2_0
| op2(e23,op2(e20,e23)) != op2(e20,e23)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e22,op2(e22,e22)) != op2(e22,e22) )
& ( ~ epred2_0
| op2(e23,op2(e20,e23)) != op2(e20,e23)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e21,op2(e22,e21)) != op2(e22,e21) )
& ( ~ epred2_0
| op2(e23,op2(e20,e23)) != op2(e20,e23)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e20,op2(e22,e20)) != op2(e22,e20) )
& ( ~ epred2_0
| op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e23,op2(e21,e23)) != op2(e21,e23)
| op2(e23,op2(e22,e23)) != op2(e22,e23) )
& ( ~ epred2_0
| op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e23,op2(e21,e23)) != op2(e21,e23)
| op2(e22,op2(e22,e22)) != op2(e22,e22) )
& ( ~ epred2_0
| op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e23,op2(e21,e23)) != op2(e21,e23)
| op2(e21,op2(e22,e21)) != op2(e22,e21) )
& ( ~ epred2_0
| op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e23,op2(e21,e23)) != op2(e21,e23)
| op2(e20,op2(e22,e20)) != op2(e22,e20) )
& ( ~ epred2_0
| op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e22,op2(e21,e22)) != op2(e21,e22)
| op2(e23,op2(e22,e23)) != op2(e22,e23) )
& ( ~ epred2_0
| op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e22,op2(e21,e22)) != op2(e21,e22)
| op2(e22,op2(e22,e22)) != op2(e22,e22) )
& ( ~ epred2_0
| op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e22,op2(e21,e22)) != op2(e21,e22)
| op2(e21,op2(e22,e21)) != op2(e22,e21) )
& ( ~ epred2_0
| op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e22,op2(e21,e22)) != op2(e21,e22)
| op2(e20,op2(e22,e20)) != op2(e22,e20) )
& ( ~ epred2_0
| op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e21,op2(e21,e21)) != op2(e21,e21)
| op2(e23,op2(e22,e23)) != op2(e22,e23) )
& ( ~ epred2_0
| op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e21,op2(e21,e21)) != op2(e21,e21)
| op2(e22,op2(e22,e22)) != op2(e22,e22) )
& ( ~ epred2_0
| op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e21,op2(e21,e21)) != op2(e21,e21)
| op2(e21,op2(e22,e21)) != op2(e22,e21) )
& ( ~ epred2_0
| op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e21,op2(e21,e21)) != op2(e21,e21)
| op2(e20,op2(e22,e20)) != op2(e22,e20) )
& ( ~ epred2_0
| op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e23,op2(e22,e23)) != op2(e22,e23) )
& ( ~ epred2_0
| op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e22,op2(e22,e22)) != op2(e22,e22) )
& ( ~ epred2_0
| op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e21,op2(e22,e21)) != op2(e22,e21) )
& ( ~ epred2_0
| op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e20,op2(e22,e20)) != op2(e22,e20) )
& ( ~ epred2_0
| op2(e21,op2(e20,e21)) != op2(e20,e21)
| op2(e23,op2(e21,e23)) != op2(e21,e23)
| op2(e23,op2(e22,e23)) != op2(e22,e23) )
& ( ~ epred2_0
| op2(e21,op2(e20,e21)) != op2(e20,e21)
| op2(e23,op2(e21,e23)) != op2(e21,e23)
| op2(e22,op2(e22,e22)) != op2(e22,e22) )
& ( ~ epred2_0
| op2(e21,op2(e20,e21)) != op2(e20,e21)
| op2(e23,op2(e21,e23)) != op2(e21,e23)
| op2(e21,op2(e22,e21)) != op2(e22,e21) )
& ( ~ epred2_0
| op2(e21,op2(e20,e21)) != op2(e20,e21)
| op2(e23,op2(e21,e23)) != op2(e21,e23)
| op2(e20,op2(e22,e20)) != op2(e22,e20) )
& ( ~ epred2_0
| op2(e21,op2(e20,e21)) != op2(e20,e21)
| op2(e22,op2(e21,e22)) != op2(e21,e22)
| op2(e23,op2(e22,e23)) != op2(e22,e23) )
& ( ~ epred2_0
| op2(e21,op2(e20,e21)) != op2(e20,e21)
| op2(e22,op2(e21,e22)) != op2(e21,e22)
| op2(e22,op2(e22,e22)) != op2(e22,e22) )
& ( ~ epred2_0
| op2(e21,op2(e20,e21)) != op2(e20,e21)
| op2(e22,op2(e21,e22)) != op2(e21,e22)
| op2(e21,op2(e22,e21)) != op2(e22,e21) )
& ( ~ epred2_0
| op2(e21,op2(e20,e21)) != op2(e20,e21)
| op2(e22,op2(e21,e22)) != op2(e21,e22)
| op2(e20,op2(e22,e20)) != op2(e22,e20) )
& ( ~ epred2_0
| op2(e21,op2(e20,e21)) != op2(e20,e21)
| op2(e21,op2(e21,e21)) != op2(e21,e21)
| op2(e23,op2(e22,e23)) != op2(e22,e23) )
& ( ~ epred2_0
| op2(e21,op2(e20,e21)) != op2(e20,e21)
| op2(e21,op2(e21,e21)) != op2(e21,e21)
| op2(e22,op2(e22,e22)) != op2(e22,e22) )
& ( ~ epred2_0
| op2(e21,op2(e20,e21)) != op2(e20,e21)
| op2(e21,op2(e21,e21)) != op2(e21,e21)
| op2(e21,op2(e22,e21)) != op2(e22,e21) )
& ( ~ epred2_0
| op2(e21,op2(e20,e21)) != op2(e20,e21)
| op2(e21,op2(e21,e21)) != op2(e21,e21)
| op2(e20,op2(e22,e20)) != op2(e22,e20) )
& ( ~ epred2_0
| op2(e21,op2(e20,e21)) != op2(e20,e21)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e23,op2(e22,e23)) != op2(e22,e23) )
& ( ~ epred2_0
| op2(e21,op2(e20,e21)) != op2(e20,e21)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e22,op2(e22,e22)) != op2(e22,e22) )
& ( ~ epred2_0
| op2(e21,op2(e20,e21)) != op2(e20,e21)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e21,op2(e22,e21)) != op2(e22,e21) )
& ( ~ epred2_0
| op2(e21,op2(e20,e21)) != op2(e20,e21)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e20,op2(e22,e20)) != op2(e22,e20) )
& ( ~ epred2_0
| op2(e20,op2(e20,e20)) != op2(e20,e20)
| op2(e23,op2(e21,e23)) != op2(e21,e23)
| op2(e23,op2(e22,e23)) != op2(e22,e23) )
& ( ~ epred2_0
| op2(e20,op2(e20,e20)) != op2(e20,e20)
| op2(e23,op2(e21,e23)) != op2(e21,e23)
| op2(e22,op2(e22,e22)) != op2(e22,e22) )
& ( ~ epred2_0
| op2(e20,op2(e20,e20)) != op2(e20,e20)
| op2(e23,op2(e21,e23)) != op2(e21,e23)
| op2(e21,op2(e22,e21)) != op2(e22,e21) )
& ( ~ epred2_0
| op2(e20,op2(e20,e20)) != op2(e20,e20)
| op2(e23,op2(e21,e23)) != op2(e21,e23)
| op2(e20,op2(e22,e20)) != op2(e22,e20) )
& ( ~ epred2_0
| op2(e20,op2(e20,e20)) != op2(e20,e20)
| op2(e22,op2(e21,e22)) != op2(e21,e22)
| op2(e23,op2(e22,e23)) != op2(e22,e23) )
& ( ~ epred2_0
| op2(e20,op2(e20,e20)) != op2(e20,e20)
| op2(e22,op2(e21,e22)) != op2(e21,e22)
| op2(e22,op2(e22,e22)) != op2(e22,e22) )
& ( ~ epred2_0
| op2(e20,op2(e20,e20)) != op2(e20,e20)
| op2(e22,op2(e21,e22)) != op2(e21,e22)
| op2(e21,op2(e22,e21)) != op2(e22,e21) )
& ( ~ epred2_0
| op2(e20,op2(e20,e20)) != op2(e20,e20)
| op2(e22,op2(e21,e22)) != op2(e21,e22)
| op2(e20,op2(e22,e20)) != op2(e22,e20) )
& ( ~ epred2_0
| op2(e20,op2(e20,e20)) != op2(e20,e20)
| op2(e21,op2(e21,e21)) != op2(e21,e21)
| op2(e23,op2(e22,e23)) != op2(e22,e23) )
& ( ~ epred2_0
| op2(e20,op2(e20,e20)) != op2(e20,e20)
| op2(e21,op2(e21,e21)) != op2(e21,e21)
| op2(e22,op2(e22,e22)) != op2(e22,e22) )
& ( ~ epred2_0
| op2(e20,op2(e20,e20)) != op2(e20,e20)
| op2(e21,op2(e21,e21)) != op2(e21,e21)
| op2(e21,op2(e22,e21)) != op2(e22,e21) )
& ( ~ epred2_0
| op2(e20,op2(e20,e20)) != op2(e20,e20)
| op2(e21,op2(e21,e21)) != op2(e21,e21)
| op2(e20,op2(e22,e20)) != op2(e22,e20) )
& ( ~ epred2_0
| op2(e20,op2(e20,e20)) != op2(e20,e20)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e23,op2(e22,e23)) != op2(e22,e23) )
& ( ~ epred2_0
| op2(e20,op2(e20,e20)) != op2(e20,e20)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e22,op2(e22,e22)) != op2(e22,e22) )
& ( ~ epred2_0
| op2(e20,op2(e20,e20)) != op2(e20,e20)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e21,op2(e22,e21)) != op2(e22,e21) )
& ( ~ epred2_0
| op2(e20,op2(e20,e20)) != op2(e20,e20)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e20,op2(e22,e20)) != op2(e22,e20) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_219])])]) ).
cnf(c_0_252,plain,
( op2(e22,e20) != e20
| epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_144]),c_0_144]) ).
cnf(c_0_253,plain,
( op2(e20,e20) = e20
| op2(e22,e20) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_114]),c_0_106]),c_0_110]),c_0_108]) ).
cnf(c_0_254,plain,
( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_255,plain,
op2(e23,e22) != e23,
inference(rw,[status(thm)],[c_0_222,c_0_107]) ).
cnf(c_0_256,plain,
( op2(e20,e22) != e23
| op2(e21,e22) = e22 ),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_257,plain,
( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_258,plain,
op2(e22,e21) != e23,
inference(rw,[status(thm)],[c_0_225,c_0_107]) ).
cnf(c_0_259,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_260,plain,
op2(e21,e23) != e20,
inference(rw,[status(thm)],[c_0_226,c_0_78]) ).
cnf(c_0_261,plain,
op2(e21,e23) != e21,
inference(rw,[status(thm)],[c_0_227,c_0_51]) ).
cnf(c_0_262,plain,
( ~ epred1_0
| op1(e10,e11) != e11
| op1(e10,op1(e12,e10)) != op1(e12,e10)
| op1(e10,op1(e10,e10)) != op1(e10,e10) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_29]),c_0_29]) ).
cnf(c_0_263,plain,
( op1(e10,e10) = e13
| op1(e12,e10) = e13 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_29]),c_0_34]),c_0_73]),c_0_87]) ).
cnf(c_0_264,plain,
( op1(e10,e11) != e11
| epred1_0 ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_265,plain,
( op1(e10,e13) != e13
| op1(e10,e10) != e13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234]) ).
cnf(c_0_266,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_19]),c_0_73]) ).
cnf(c_0_267,plain,
( ~ epred1_0
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e10,op1(e11,e10)) != op1(e11,e10)
| op1(e11,op1(e12,e11)) != op1(e12,e11) ),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
cnf(c_0_268,plain,
( op1(e11,e12) != e12
| op1(e10,e11) != e12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_236]),c_0_237]) ).
cnf(c_0_269,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_238,c_0_239]),c_0_69]) ).
cnf(c_0_270,plain,
( op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_118]),c_0_36]) ).
cnf(c_0_271,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_51]),c_0_112]) ).
cnf(c_0_272,plain,
( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_273,plain,
op2(e22,e20) != e21,
inference(rw,[status(thm)],[c_0_241,c_0_114]) ).
cnf(c_0_274,plain,
op2(e22,e23) != e21,
inference(rw,[status(thm)],[c_0_242,c_0_51]) ).
cnf(c_0_275,plain,
( epred2_0
| op2(e21,e22) = e23 ),
inference(spm,[status(thm)],[c_0_243,c_0_195]) ).
cnf(c_0_276,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_115]) ).
cnf(c_0_277,plain,
( op2(e20,e22) != e22
| epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_246,c_0_106]),c_0_106]) ).
cnf(c_0_278,plain,
( op2(e20,e23) != e22
| op2(e22,e22) = e21
| op2(e22,e22) = e22 ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_279,plain,
( op2(e21,e22) != e22
| op2(e20,e23) = e22 ),
inference(spm,[status(thm)],[c_0_249,c_0_250]) ).
cnf(c_0_280,plain,
( ~ epred2_0
| op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e22,op2(e21,e22)) != op2(e21,e22)
| op2(e22,op2(e22,e22)) != op2(e22,e22) ),
inference(split_conjunct,[status(thm)],[c_0_251]) ).
cnf(c_0_281,plain,
( epred2_0
| op2(e20,e20) = e20 ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_282,plain,
( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23 ),
inference(sr,[status(thm)],[c_0_254,c_0_255]) ).
cnf(c_0_283,plain,
( op2(e20,e22) != e23
| op2(e20,e20) = e20 ),
inference(spm,[status(thm)],[c_0_173,c_0_256]) ).
cnf(c_0_284,plain,
op2(e21,e23) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_285,plain,
( op2(e22,e20) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 ),
inference(sr,[status(thm)],[c_0_257,c_0_258]) ).
cnf(c_0_286,plain,
( op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_259,c_0_260]),c_0_261]) ).
cnf(c_0_287,plain,
( op1(e10,e11) != e11
| op1(e10,e13) != e13
| op1(e10,op1(e10,e10)) != op1(e10,e10) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_264]),c_0_265]) ).
cnf(c_0_288,plain,
( op1(e10,e11) != e11
| op1(e10,e10) = e10 ),
inference(spm,[status(thm)],[c_0_230,c_0_132]) ).
cnf(c_0_289,plain,
( op1(e12,e10) != e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(spm,[status(thm)],[c_0_136,c_0_266]) ).
cnf(c_0_290,plain,
( ~ epred1_0
| op1(e10,e11) != e11
| op1(e11,op1(e12,e11)) != op1(e12,e11)
| op1(e10,op1(e10,e10)) != op1(e10,e10) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_267,c_0_29]),c_0_29]) ).
cnf(c_0_291,plain,
( op1(e11,e12) != e12
| op1(e10,e10) = e10 ),
inference(spm,[status(thm)],[c_0_200,c_0_99]) ).
cnf(c_0_292,plain,
( op1(e11,e12) != e12
| op1(e10,e11) = e11 ),
inference(spm,[status(thm)],[c_0_268,c_0_269]) ).
cnf(c_0_293,plain,
( op1(e11,e12) != e12
| op1(e12,e10) = e10
| op1(e12,e11) = e12 ),
inference(spm,[status(thm)],[c_0_200,c_0_270]) ).
cnf(c_0_294,plain,
( op2(e21,e23) = e23
| op2(e20,e23) = e23
| op2(e22,e20) = e20 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_192]),c_0_109]) ).
cnf(c_0_295,plain,
( op2(e22,e21) = e21
| op2(e22,e22) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_272,c_0_273]),c_0_274]) ).
cnf(c_0_296,plain,
op2(e20,e21) != op2(e20,e22),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_297,plain,
( epred2_0
| op2(e20,e22) = e21 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_196]),c_0_277]) ).
cnf(c_0_298,plain,
op2(e20,e21) != op2(e21,e21),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_299,plain,
op2(e20,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_300,plain,
( op2(e22,e22) != e21
| op2(e22,e21) = e22 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_301,plain,
( op2(e21,e22) != e22
| op2(e22,e22) = e21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_278]),c_0_279]) ).
cnf(c_0_302,plain,
( op2(e22,op2(e21,e22)) != op2(e21,e22)
| op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e20,e20) = e20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_147]),c_0_281]),c_0_147]) ).
cnf(c_0_303,plain,
( op2(e20,e20) = e20
| op2(e21,e22) = e23 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_282]),c_0_196]),c_0_283]) ).
cnf(c_0_304,plain,
( op2(e22,e22) != e23
| op2(e21,e23) != e22 ),
inference(spm,[status(thm)],[c_0_284,c_0_214]) ).
cnf(c_0_305,plain,
( op2(e20,e23) != e23
| op2(e22,e22) = e23
| op2(e22,e20) = e23 ),
inference(spm,[status(thm)],[c_0_213,c_0_285]) ).
cnf(c_0_306,plain,
( op2(e20,e23) != e23
| op2(e21,e23) = e22 ),
inference(spm,[status(thm)],[c_0_148,c_0_286]) ).
cnf(c_0_307,plain,
( op2(e21,e23) != e23
| op2(e22,e22) = e23
| op2(e22,e20) = e23 ),
inference(spm,[status(thm)],[c_0_284,c_0_285]) ).
cnf(c_0_308,plain,
( op1(e10,e11) != e11
| op1(e10,e13) != e13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_288]) ).
cnf(c_0_309,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e10) = e13 ),
inference(spm,[status(thm)],[c_0_289,c_0_263]) ).
cnf(c_0_310,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_311,plain,
( op1(e11,e12) != e12
| op1(e11,op1(e12,e11)) != op1(e12,e11) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_264]),c_0_292]),c_0_291]) ).
cnf(c_0_312,plain,
( op1(e11,e12) != e12
| op1(e12,e11) = e12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_293]),c_0_291]) ).
cnf(c_0_313,plain,
( op2(e20,e20) != e20
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(spm,[status(thm)],[c_0_216,c_0_294]) ).
cnf(c_0_314,plain,
op2(e20,e22) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_315,plain,
op2(e20,e21) != op2(e22,e21),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_316,plain,
( op2(e21,e22) = e22
| op2(e20,e22) = e22
| op2(e22,e21) = e21 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_295]),c_0_115]) ).
cnf(c_0_317,plain,
( ~ epred2_0
| op2(e20,op2(e20,e20)) != op2(e20,e20)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e21,op2(e22,e21)) != op2(e22,e21) ),
inference(split_conjunct,[status(thm)],[c_0_251]) ).
cnf(c_0_318,plain,
( op2(e20,e21) != e21
| epred2_0 ),
inference(spm,[status(thm)],[c_0_296,c_0_297]) ).
cnf(c_0_319,plain,
( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_320,plain,
( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_321,plain,
op2(e20,e21) != e20,
inference(rw,[status(thm)],[c_0_298,c_0_78]) ).
cnf(c_0_322,plain,
op2(e20,e21) != e23,
inference(rw,[status(thm)],[c_0_299,c_0_107]) ).
cnf(c_0_323,plain,
( op2(e21,e22) != e22
| op2(e22,e21) = e22 ),
inference(spm,[status(thm)],[c_0_300,c_0_301]) ).
cnf(c_0_324,plain,
( op2(e22,e23) != e23
| op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e20,e20) = e20 ),
inference(spm,[status(thm)],[c_0_302,c_0_303]) ).
cnf(c_0_325,plain,
( op2(e20,e20) = e20
| op2(e20,e22) = e21 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_244]),c_0_115]) ).
cnf(c_0_326,plain,
( op2(e20,e20) = e20
| op2(e22,e21) = e21 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_295]),c_0_115]) ).
cnf(c_0_327,plain,
( op2(e20,e23) != e23
| op2(e22,e20) = e23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_306]) ).
cnf(c_0_328,plain,
( op2(e21,e23) != e23
| op2(e20,e20) = e20
| op2(e22,e20) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_307]),c_0_196]) ).
cnf(c_0_329,plain,
op1(e10,e10) != op1(e11,e10),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_330,plain,
( op1(e10,e11) != e11
| op1(e10,e10) = e13
| op1(e11,e13) = e13 ),
inference(spm,[status(thm)],[c_0_308,c_0_309]) ).
cnf(c_0_331,plain,
( op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_310,c_0_29]),c_0_23]),c_0_92]),c_0_36]) ).
cnf(c_0_332,plain,
op1(e11,e12) != e12,
inference(spm,[status(thm)],[c_0_311,c_0_312]) ).
cnf(c_0_333,plain,
( op2(e20,e20) != e20
| op2(e21,e22) = e22
| op2(e20,e23) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_313]),c_0_196]) ).
cnf(c_0_334,plain,
( op2(e20,e22) != e22
| op2(e20,e20) = e20 ),
inference(spm,[status(thm)],[c_0_314,c_0_147]) ).
cnf(c_0_335,plain,
( op2(e20,e21) != e21
| op2(e20,e22) = e22
| op2(e21,e22) = e22 ),
inference(spm,[status(thm)],[c_0_315,c_0_316]) ).
cnf(c_0_336,plain,
( op2(e20,e21) != e21
| op2(e21,op2(e22,e21)) != op2(e22,e21)
| op2(e20,op2(e20,e20)) != op2(e20,e20) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_317,c_0_114]),c_0_114]),c_0_318]) ).
cnf(c_0_337,plain,
( op2(e20,e21) = e22
| op2(e22,e21) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_319,c_0_78]),c_0_107]),c_0_108]),c_0_196]) ).
cnf(c_0_338,plain,
( op2(e20,e21) = e21
| op2(e20,e21) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_320,c_0_321]),c_0_322]) ).
cnf(c_0_339,plain,
( op2(e21,e22) != e22
| op2(e20,e21) != e22 ),
inference(spm,[status(thm)],[c_0_315,c_0_323]) ).
cnf(c_0_340,plain,
( op2(e22,e23) != e23
| op2(e20,e20) = e20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_326]) ).
cnf(c_0_341,plain,
( op2(e20,e23) != e23
| op2(e20,e20) = e20 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_327]),c_0_109]) ).
cnf(c_0_342,plain,
( op2(e21,e23) != e23
| op2(e20,e20) = e20 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_328]),c_0_109]) ).
fof(c_0_343,negated_conjecture,
~ ( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_344,plain,
( epred3_0
<=> ( ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
introduced(definition) ).
fof(c_0_345,plain,
( epred4_0
<=> ( ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ) ),
introduced(definition) ).
fof(c_0_346,plain,
( epred5_0
<=> ( ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ) ),
introduced(definition) ).
fof(c_0_347,plain,
( epred6_0
<=> ( ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ) ),
introduced(definition) ).
cnf(c_0_348,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_349,plain,
op1(e10,e10) != e11,
inference(rw,[status(thm)],[c_0_329,c_0_29]) ).
cnf(c_0_350,plain,
( op1(e10,e11) != e11
| op1(e11,e13) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_330]),c_0_37]) ).
cnf(c_0_351,plain,
op1(e11,e13) = e12,
inference(sr,[status(thm)],[c_0_331,c_0_332]) ).
cnf(c_0_352,plain,
( op2(e20,e20) != e23
| op2(e20,e23) = e20 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_353,plain,
( op2(e20,e22) != e22
| op2(e20,e23) = e23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_333]),c_0_334]) ).
cnf(c_0_354,plain,
( op2(e20,e21) != e21
| op2(e20,e23) = e22
| op2(e20,e22) = e22 ),
inference(spm,[status(thm)],[c_0_279,c_0_335]) ).
cnf(c_0_355,plain,
( op2(e21,e22) != e22
| op2(e20,op2(e20,e20)) != op2(e20,e20) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_337]),c_0_338]),c_0_339]) ).
cnf(c_0_356,plain,
op2(e20,e20) = e20,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_271]),c_0_341]),c_0_342]) ).
cnf(c_0_357,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
fof(c_0_358,negated_conjecture,
~ ( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& epred6_0 )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& epred5_0 )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& epred4_0 )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& epred3_0 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_343,c_0_344]),c_0_345]),c_0_346]),c_0_347]) ).
cnf(c_0_359,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_360,plain,
( op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_348,c_0_349]),c_0_85]) ).
cnf(c_0_361,plain,
op1(e10,e11) != e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_350,c_0_351]),c_0_87]) ).
cnf(c_0_362,plain,
( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_363,plain,
( ~ epred2_0
| op2(e20,op2(e20,e20)) != op2(e20,e20)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e20,op2(e22,e20)) != op2(e22,e20) ),
inference(split_conjunct,[status(thm)],[c_0_251]) ).
cnf(c_0_364,plain,
( op2(e20,e22) != e22
| op2(e20,e20) != e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_353]),c_0_109]) ).
cnf(c_0_365,plain,
( op2(e20,e21) != e21
| op2(e20,e20) != e23
| op2(e20,e22) = e22 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_354]),c_0_108]) ).
cnf(c_0_366,plain,
op2(e21,e22) != e22,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_355,c_0_356]),c_0_356]),c_0_356])]) ).
cnf(c_0_367,plain,
( op2(e20,e20) = e23
| op2(e22,e20) = e23 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_357,c_0_114]),c_0_106]),c_0_112]),c_0_196]) ).
fof(c_0_368,plain,
( ( ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
=> epred6_0 ),
inference(split_equiv,[status(thm)],[c_0_347]) ).
fof(c_0_369,negated_conjecture,
( ( ~ epred6_0
| h4(e13) != e23 )
& ( ~ epred6_0
| h4(e12) != e23 )
& ( ~ epred6_0
| h4(e11) != e23 )
& ( ~ epred6_0
| h4(e10) != e23 )
& ( ~ epred5_0
| h3(e13) != e23 )
& ( ~ epred5_0
| h3(e12) != e23 )
& ( ~ epred5_0
| h3(e11) != e23 )
& ( ~ epred5_0
| h3(e10) != e23 )
& ( ~ epred4_0
| h2(e13) != e23 )
& ( ~ epred4_0
| h2(e12) != e23 )
& ( ~ epred4_0
| h2(e11) != e23 )
& ( ~ epred4_0
| h2(e10) != e23 )
& ( ~ epred3_0
| h1(e13) != e23 )
& ( ~ epred3_0
| h1(e12) != e23 )
& ( ~ epred3_0
| h1(e11) != e23 )
& ( ~ epred3_0
| h1(e10) != e23 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_358])])]) ).
cnf(c_0_370,plain,
( op2(e20,e23) != e20
| op2(e22,e20) = e20 ),
inference(spm,[status(thm)],[c_0_213,c_0_192]) ).
cnf(c_0_371,plain,
( op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_163]),c_0_87]) ).
cnf(c_0_372,plain,
( op1(e10,e11) = e11
| op1(e12,e11) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_359,c_0_23]),c_0_35]),c_0_38]),c_0_73]) ).
cnf(c_0_373,plain,
op1(e10,e12) = e11,
inference(sr,[status(thm)],[c_0_360,c_0_361]) ).
cnf(c_0_374,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(sr,[status(thm)],[c_0_362,c_0_61]) ).
cnf(c_0_375,plain,
( op2(e20,e21) != e21
| op2(e20,op2(e22,e20)) != op2(e22,e20)
| op2(e20,op2(e20,e20)) != op2(e20,e20) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_363,c_0_114]),c_0_114]),c_0_318]) ).
cnf(c_0_376,plain,
( op2(e20,e21) != e21
| op2(e20,e20) != e23 ),
inference(spm,[status(thm)],[c_0_364,c_0_365]) ).
cnf(c_0_377,plain,
op2(e21,e23) = e22,
inference(sr,[status(thm)],[c_0_149,c_0_366]) ).
cnf(c_0_378,plain,
op2(e22,e20) = e23,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_367,c_0_356]),c_0_109]) ).
fof(c_0_379,plain,
( ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e13) != e20
| h4(e13) != e21
| h4(e13) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e13) != e20
| h4(e13) != e21
| h4(e12) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e13) != e20
| h4(e13) != e21
| h4(e11) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e13) != e20
| h4(e13) != e21
| h4(e10) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e13) != e20
| h4(e12) != e21
| h4(e13) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e13) != e20
| h4(e12) != e21
| h4(e12) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e13) != e20
| h4(e12) != e21
| h4(e11) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e13) != e20
| h4(e12) != e21
| h4(e10) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e13) != e20
| h4(e11) != e21
| h4(e13) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e13) != e20
| h4(e11) != e21
| h4(e12) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e13) != e20
| h4(e11) != e21
| h4(e11) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e13) != e20
| h4(e11) != e21
| h4(e10) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e13) != e20
| h4(e10) != e21
| h4(e13) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e13) != e20
| h4(e10) != e21
| h4(e12) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e13) != e20
| h4(e10) != e21
| h4(e11) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e13) != e20
| h4(e10) != e21
| h4(e10) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e12) != e20
| h4(e13) != e21
| h4(e13) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e12) != e20
| h4(e13) != e21
| h4(e12) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e12) != e20
| h4(e13) != e21
| h4(e11) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e12) != e20
| h4(e13) != e21
| h4(e10) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e12) != e20
| h4(e12) != e21
| h4(e13) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e12) != e20
| h4(e12) != e21
| h4(e12) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e12) != e20
| h4(e12) != e21
| h4(e11) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e12) != e20
| h4(e12) != e21
| h4(e10) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e12) != e20
| h4(e11) != e21
| h4(e13) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e12) != e20
| h4(e11) != e21
| h4(e12) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e12) != e20
| h4(e11) != e21
| h4(e11) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e12) != e20
| h4(e11) != e21
| h4(e10) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e12) != e20
| h4(e10) != e21
| h4(e13) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e12) != e20
| h4(e10) != e21
| h4(e12) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e12) != e20
| h4(e10) != e21
| h4(e11) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e12) != e20
| h4(e10) != e21
| h4(e10) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e11) != e20
| h4(e13) != e21
| h4(e13) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e11) != e20
| h4(e13) != e21
| h4(e12) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e11) != e20
| h4(e13) != e21
| h4(e11) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e11) != e20
| h4(e13) != e21
| h4(e10) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e11) != e20
| h4(e12) != e21
| h4(e13) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e11) != e20
| h4(e12) != e21
| h4(e12) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e11) != e20
| h4(e12) != e21
| h4(e11) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e11) != e20
| h4(e12) != e21
| h4(e10) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e11) != e20
| h4(e11) != e21
| h4(e13) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e11) != e20
| h4(e11) != e21
| h4(e12) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e11) != e20
| h4(e11) != e21
| h4(e11) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e11) != e20
| h4(e11) != e21
| h4(e10) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e11) != e20
| h4(e10) != e21
| h4(e13) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e11) != e20
| h4(e10) != e21
| h4(e12) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e11) != e20
| h4(e10) != e21
| h4(e11) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e11) != e20
| h4(e10) != e21
| h4(e10) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) != e20
| h4(e13) != e21
| h4(e13) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) != e20
| h4(e13) != e21
| h4(e12) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) != e20
| h4(e13) != e21
| h4(e11) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) != e20
| h4(e13) != e21
| h4(e10) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) != e20
| h4(e12) != e21
| h4(e13) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) != e20
| h4(e12) != e21
| h4(e12) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) != e20
| h4(e12) != e21
| h4(e11) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) != e20
| h4(e12) != e21
| h4(e10) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) != e20
| h4(e11) != e21
| h4(e13) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) != e20
| h4(e11) != e21
| h4(e12) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) != e20
| h4(e11) != e21
| h4(e11) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) != e20
| h4(e11) != e21
| h4(e10) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) != e20
| h4(e10) != e21
| h4(e13) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) != e20
| h4(e10) != e21
| h4(e12) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) != e20
| h4(e10) != e21
| h4(e11) != e22 )
& ( epred6_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) != e20
| h4(e10) != e21
| h4(e10) != e22 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_368])])]) ).
cnf(c_0_380,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_381,plain,
h4(e11) = op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_382,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_383,negated_conjecture,
( ~ epred6_0
| h4(e13) != e23 ),
inference(split_conjunct,[status(thm)],[c_0_369]) ).
cnf(c_0_384,plain,
h4(e13) = e23,
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_385,plain,
( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_386,plain,
( op2(e20,e23) != e20
| op2(e20,e20) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_370]),c_0_109]) ).
cnf(c_0_387,plain,
( ~ epred1_0
| op1(e12,op1(e10,e12)) != op1(e10,e12)
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e12,op1(e12,e12)) != op1(e12,e12) ),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
cnf(c_0_388,plain,
op1(e11,e12) = e13,
inference(sr,[status(thm)],[c_0_371,c_0_332]) ).
cnf(c_0_389,plain,
op1(e12,e11) = e11,
inference(sr,[status(thm)],[c_0_372,c_0_361]) ).
cnf(c_0_390,plain,
op1(e12,e12) = e12,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_91,c_0_332]),c_0_373]),c_0_92]) ).
cnf(c_0_391,plain,
( op1(e11,e13) = e13
| op1(e10,e13) = e13
| op1(e12,e10) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_118]),c_0_37]) ).
cnf(c_0_392,plain,
( op1(e10,e13) != e13
| op1(e12,e13) = e12
| op1(e12,e13) = e10 ),
inference(spm,[status(thm)],[c_0_117,c_0_374]) ).
cnf(c_0_393,plain,
op2(e22,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_394,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_395,plain,
( op2(e20,e21) != e21
| op2(e20,e23) != e23
| op2(e20,op2(e20,e20)) != op2(e20,e20) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_367]),c_0_376]) ).
cnf(c_0_396,plain,
op2(e20,e23) = e23,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_294,c_0_377]),c_0_196]),c_0_378]),c_0_109]) ).
cnf(c_0_397,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) != e20
| h4(e11) != e21
| h4(e12) != e22
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_379]) ).
cnf(c_0_398,plain,
h4(e10) = e20,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_380,c_0_51]),c_0_51]),c_0_78]) ).
cnf(c_0_399,plain,
h4(e11) = e21,
inference(rw,[status(thm)],[c_0_381,c_0_51]) ).
cnf(c_0_400,plain,
h4(e12) = e22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_382,c_0_51]),c_0_51]),c_0_78]),c_0_106]) ).
cnf(c_0_401,negated_conjecture,
~ epred6_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_383,c_0_384])]) ).
cnf(c_0_402,plain,
( op2(e20,e23) = e20
| op2(e22,e23) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_385,c_0_51]),c_0_260]),c_0_110]) ).
cnf(c_0_403,plain,
op2(e20,e23) != e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_386,c_0_356]),c_0_109]) ).
cnf(c_0_404,plain,
( op2(e22,e21) = e22
| op2(e22,e21) = e21 ),
inference(spm,[status(thm)],[c_0_300,c_0_295]) ).
cnf(c_0_405,plain,
( op2(e22,e21) = e22
| op2(e20,e22) = e21 ),
inference(spm,[status(thm)],[c_0_300,c_0_244]) ).
cnf(c_0_406,plain,
( op1(e10,e13) != e13
| op1(e10,e10) = e10
| op1(e12,e10) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_201]),c_0_87]) ).
cnf(c_0_407,plain,
( ~ epred1_0
| op1(e12,e13) != e13 ),
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)],[c_0_387,c_0_388]),c_0_388]),c_0_373]),c_0_389]),c_0_373]),c_0_390]),c_0_390]),c_0_390])]) ).
cnf(c_0_408,plain,
( op1(e12,e13) = e13
| op1(e10,e13) = e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_266,c_0_351]),c_0_87]) ).
cnf(c_0_409,plain,
( epred1_0
| op1(e10,e13) = e13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_391]),c_0_93]) ).
cnf(c_0_410,plain,
( op1(e12,e12) != e13
| op1(e10,e13) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_137]),c_0_36]) ).
cnf(c_0_411,plain,
( op1(e10,e13) != e13
| op1(e11,e13) != e12
| op1(e12,e13) = e10 ),
inference(spm,[status(thm)],[c_0_185,c_0_392]) ).
cnf(c_0_412,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_413,plain,
op2(e22,e20) != e22,
inference(rw,[status(thm)],[c_0_393,c_0_106]) ).
cnf(c_0_414,plain,
( op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_394,c_0_78]),c_0_107]),c_0_110]),c_0_112]) ).
cnf(c_0_415,plain,
op2(e20,e21) != e21,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_395,c_0_356]),c_0_356]),c_0_356])]),c_0_396])]) ).
cnf(c_0_416,plain,
( h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_397,c_0_398]),c_0_399]),c_0_400]),c_0_398]),c_0_398]),c_0_398]),c_0_399]),c_0_398]),c_0_400]),c_0_398]),c_0_384]),c_0_29]),c_0_399]),c_0_399]),c_0_398]),c_0_114]),c_0_23]),c_0_398]),c_0_399]),c_0_399]),c_0_78]),c_0_399]),c_0_400]),c_0_399]),c_0_384]),c_0_400]),c_0_398]),c_0_400]),c_0_399]),c_0_400]),c_0_400]),c_0_400]),c_0_384]),c_0_34]),c_0_400]),c_0_384]),c_0_398]),c_0_106]),c_0_35]),c_0_384]),c_0_384]),c_0_399]),c_0_107]),c_0_57]),c_0_398]),c_0_384]),c_0_400]),c_0_144]),c_0_19]),c_0_399]),c_0_384]),c_0_384]),c_0_51])]),c_0_401]) ).
cnf(c_0_417,plain,
op1(e10,e11) = e12,
inference(sr,[status(thm)],[c_0_269,c_0_361]) ).
cnf(c_0_418,plain,
op2(e21,e22) = e23,
inference(sr,[status(thm)],[c_0_224,c_0_366]) ).
cnf(c_0_419,plain,
op2(e22,e23) = e20,
inference(sr,[status(thm)],[c_0_402,c_0_403]) ).
cnf(c_0_420,plain,
( op2(e20,e21) != e22
| op2(e22,e21) = e21 ),
inference(spm,[status(thm)],[c_0_315,c_0_404]) ).
cnf(c_0_421,plain,
( op2(e20,e21) != e22
| op2(e20,e22) = e21 ),
inference(spm,[status(thm)],[c_0_315,c_0_405]) ).
cnf(c_0_422,plain,
( op1(e10,e13) != e13
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_406]),c_0_37]) ).
cnf(c_0_423,plain,
op1(e10,e13) = e13,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_408]),c_0_409]) ).
cnf(c_0_424,plain,
( op1(e10,e13) = e10
| op1(e12,e10) = e13 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_182]),c_0_37]),c_0_410]) ).
cnf(c_0_425,plain,
( op1(e10,e13) != e13
| op1(e12,e13) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_411,c_0_351])]) ).
cnf(c_0_426,plain,
( op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 ),
inference(sr,[status(thm)],[c_0_412,c_0_413]) ).
cnf(c_0_427,plain,
op2(e22,e21) = e21,
inference(sr,[status(thm)],[c_0_414,c_0_415]) ).
cnf(c_0_428,plain,
( op2(e22,e22) != e22
| op2(e20,e21) != e22
| h4(op1(e12,e13)) != e20
| h4(op1(e12,e10)) != e23
| h4(op1(e10,e13)) != e23
| h4(op1(e10,e10)) != e20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_416,c_0_351]),c_0_400]),c_0_356]),c_0_417]),c_0_400]),c_0_373]),c_0_399]),c_0_396]),c_0_388]),c_0_384]),c_0_418]),c_0_377]),c_0_378]),c_0_389]),c_0_399]),c_0_390]),c_0_400]),c_0_419])]),c_0_420]),c_0_421]) ).
cnf(c_0_429,plain,
op2(e20,e21) = e22,
inference(sr,[status(thm)],[c_0_338,c_0_415]) ).
cnf(c_0_430,plain,
op1(e10,e10) = e10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_422,c_0_423])]) ).
cnf(c_0_431,plain,
op1(e12,e10) = e13,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_424,c_0_423]),c_0_37]) ).
cnf(c_0_432,plain,
op1(e12,e13) = e10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_425,c_0_423])]) ).
cnf(c_0_433,plain,
op2(e22,e22) = e22,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_426,c_0_427]),c_0_115]),c_0_419]),c_0_108]) ).
cnf(c_0_434,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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_428,c_0_429])]),c_0_430]),c_0_398]),c_0_423]),c_0_384]),c_0_431]),c_0_384]),c_0_432]),c_0_398]),c_0_433])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG125+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.54 % Computer : n008.cluster.edu
% 0.19/0.54 % Model : x86_64 x86_64
% 0.19/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.54 % Memory : 8046.5625MB
% 0.19/0.54 % OS : Linux 6.8.0-71-generic
% 0.19/0.54 % CPULimit : 300
% 0.19/0.54 % WCLimit : 300
% 0.19/0.54 % DateTime : Mon Sep 21 12:58:09 UTC 2026
% 0.19/0.54 % CPUTime :
% 0.19/0.54 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.59 Running first-order theorem proving
% 0.19/0.59 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.41/1.24 % Version: 3.5.1
% 3.41/1.24 % Preprocessing class: FSLSSMSMSSSNFFN.
% 3.41/1.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.41/1.24 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.41/1.24 % Starting new_bool_3 with 300s (1) cores
% 3.41/1.24 % Starting new_bool_1 with 300s (1) cores
% 3.41/1.24 % Starting sh5l with 300s (1) cores
% 3.41/1.24 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1029370 completed with status 0
% 3.41/1.24 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 3.41/1.24 % Preprocessing class: FSLSSMSMSSSNFFN.
% 3.41/1.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.41/1.24 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.41/1.24 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.41/1.24 % No SInE strategy applied
% 3.41/1.24 % Search class: FGHSF-FMLM21-MFFFFFNN
% 3.41/1.24 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.41/1.24 % Starting SubtermCWHack with 136s (1) cores
% 3.41/1.24 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 3.41/1.24 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 3.41/1.24 % Starting new_bool_3 with 136s (1) cores
% 3.41/1.24 % Starting new_bool_1 with 136s (1) cores
% 3.41/1.24 % SubtermCWHack with pid 1029374 completed with status 0
% 3.41/1.24 % Result found by SubtermCWHack
% 3.41/1.24 % Preprocessing class: FSLSSMSMSSSNFFN.
% 3.41/1.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.41/1.24 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.41/1.24 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.41/1.24 % No SInE strategy applied
% 3.41/1.24 % Search class: FGHSF-FMLM21-MFFFFFNN
% 3.41/1.24 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.41/1.24 % Starting SubtermCWHack with 136s (1) cores
% 3.41/1.24 % Preprocessing time : 0.013 s
% 3.41/1.24
% 3.41/1.24 % Proof found!
% 3.41/1.24 % SZS status Theorem
% 3.41/1.24 % SZS output start CNFRefutation
% See solution above
% 3.41/1.24 % Parsed axioms : 18
% 3.41/1.24 % Removed by relevancy pruning/SinE : 0
% 3.41/1.24 % Initial clauses : 684
% 3.41/1.24 % Removed in clause preprocessing : 8
% 3.41/1.24 % Initial clauses in saturation : 676
% 3.41/1.24 % Processed clauses : 9935
% 3.41/1.24 % ...of these trivial : 445
% 3.41/1.24 % ...subsumed : 8005
% 3.41/1.24 % ...remaining for further processing : 1484
% 3.41/1.24 % Other redundant clauses eliminated : 0
% 3.41/1.24 % Clauses deleted for lack of memory : 0
% 3.41/1.24 % Backward-subsumed : 627
% 3.41/1.24 % Backward-rewritten : 713
% 3.41/1.24 % Generated clauses : 17807
% 3.41/1.24 % ...of the previous two non-redundant : 17031
% 3.41/1.24 % ...aggressively subsumed : 0
% 3.41/1.24 % Contextual simplify-reflections : 239
% 3.41/1.24 % Paramodulations : 17643
% 3.41/1.24 % Factorizations : 103
% 3.41/1.24 % NegExts : 0
% 3.41/1.24 % Equation resolutions : 0
% 3.41/1.24 % Disequality decompositions : 0
% 3.41/1.24 % Total rewrite steps : 16070
% 3.41/1.24 % ...of those cached : 16018
% 3.41/1.24 % Propositional unsat checks : 0
% 3.41/1.24 % Propositional check models : 0
% 3.41/1.24 % Propositional check unsatisfiable : 0
% 3.41/1.24 % Propositional clauses : 0
% 3.41/1.24 % Propositional clauses after purity: 0
% 3.41/1.24 % Propositional unsat core size : 0
% 3.41/1.24 % Propositional preprocessing time : 0.000
% 3.41/1.24 % Propositional encoding time : 0.000
% 3.41/1.24 % Propositional solver time : 0.000
% 3.41/1.24 % Success case prop preproc time : 0.000
% 3.41/1.24 % Success case prop encoding time : 0.000
% 3.41/1.24 % Success case prop solver time : 0.000
% 3.41/1.24 % Current number of processed clauses : 83
% 3.41/1.24 % Positive orientable unit clauses : 48
% 3.41/1.24 % Positive unorientable unit clauses: 0
% 3.41/1.24 % Negative unit clauses : 29
% 3.41/1.24 % Non-unit-clauses : 6
% 3.41/1.24 % Current number of unprocessed clauses: 64
% 3.41/1.24 % ...number of literals in the above : 874
% 3.41/1.24 % Current number of archived formulas : 0
% 3.41/1.24 % Current number of archived clauses : 1401
% 3.41/1.24 % Clause-clause subsumption calls (NU) : 807163
% 3.41/1.24 % Rec. Clause-clause subsumption calls : 116976
% 3.41/1.24 % Non-unit clause-clause subsumptions : 3378
% 3.41/1.24 % Unit Clause-clause subsumption calls : 4842
% 3.41/1.24 % Rewrite failures with RHS unbound : 0
% 3.41/1.24 % BW rewrite match attempts : 39
% 3.41/1.24 % BW rewrite match successes : 39
% 3.41/1.24 % Condensation attempts : 0
% 3.41/1.24 % Condensation successes : 0
% 3.41/1.24 % Termbank termtop insertions : 374920
% 3.41/1.24 % Search garbage collected termcells : 3238
% 3.41/1.24
% 3.41/1.24 % -------------------------------------------------
% 3.41/1.24 % User time : 0.570 s
% 3.41/1.24 % System time : 0.015 s
% 3.41/1.24 % Total time : 0.585 s
% 3.41/1.24 % Maximum resident set size: 5088 pages
% 3.41/1.24
% 3.41/1.24 % -------------------------------------------------
% 3.41/1.24 % User time : 2.307 s
% 3.41/1.24 % System time : 0.042 s
% 3.41/1.24 % Total time : 2.349 s
% 3.41/1.24 % Maximum resident set size: 4864 pages
% 3.41/1.24 % E exiting
%------------------------------------------------------------------------------