%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG111+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 11:52:25 AM UTC 2026
% Result : Theorem 0.34s 0.61s
% Output : CNFRefutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 18
% Syntax : Number of formulae : 215 ( 108 unt; 0 def)
% Number of atoms : 3538 (3444 equ)
% Maximal formula atoms : 1280 ( 16 avg)
% Number of connectives : 5755 (2432 ~;2205 |;1113 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 84 ( 7 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(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/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(ax12,axiom,
( e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13))
& e11 = op1(e13,e13)
& e10 = op1(e13,op1(e13,e13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(ax10,axiom,
( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e12) != e13
| op1(e13,e13) != e13 )
& ( op1(e11,e11) != e13
| op1(e13,e13) != e13 )
& ( op1(e10,e10) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e12,e12) != e12
| op1(e13,e12) != e13 )
& ( op1(e11,e11) != e12
| op1(e13,e12) != e13 )
& ( op1(e10,e10) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e12,e12) != e11
| op1(e13,e11) != e13 )
& ( op1(e11,e11) != e11
| op1(e13,e11) != e13 )
& ( op1(e10,e10) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( op1(e12,e12) != e10
| op1(e13,e10) != e13 )
& ( op1(e11,e11) != e10
| op1(e13,e10) != e13 )
& ( op1(e10,e10) != e10
| op1(e13,e10) != e13 )
& ( op1(e13,e13) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e11,e11) != e13
| op1(e12,e13) != e12 )
& ( op1(e10,e10) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e11) != e12
| op1(e12,e12) != e12 )
& ( op1(e10,e10) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e11,e11) != e11
| op1(e12,e11) != e12 )
& ( op1(e10,e10) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e10
| op1(e12,e10) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e11,e11) != e10
| op1(e12,e10) != e12 )
& ( op1(e10,e10) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e10,e10) != e13
| op1(e11,e13) != e11 )
& ( op1(e13,e13) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e10,e10) != e12
| op1(e11,e12) != e11 )
& ( op1(e13,e13) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11 )
& ( op1(e13,e13) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e11,e10) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e10,e10) != e10
| op1(e11,e10) != e11 )
& ( op1(e13,e13) != e13
| op1(e10,e13) != e10 )
& ( op1(e12,e12) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e13,e13) != e12
| op1(e10,e12) != e10 )
& ( op1(e12,e12) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e13,e13) != e11
| op1(e10,e11) != e10 )
& ( op1(e12,e12) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e13,e13) != e10
| op1(e10,e10) != e10 )
& ( op1(e12,e12) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(ax7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
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/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(ax13,axiom,
( e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
& e21 = op2(e23,e23)
& e20 = op2(e23,op2(e23,e23)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(ax8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(ax11,axiom,
( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e22) != e23
| op2(e23,e23) != e23 )
& ( op2(e21,e21) != e23
| op2(e23,e23) != e23 )
& ( op2(e20,e20) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e22,e22) != e22
| op2(e23,e22) != e23 )
& ( op2(e21,e21) != e22
| op2(e23,e22) != e23 )
& ( op2(e20,e20) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e22,e22) != e21
| op2(e23,e21) != e23 )
& ( op2(e21,e21) != e21
| op2(e23,e21) != e23 )
& ( op2(e20,e20) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( op2(e22,e22) != e20
| op2(e23,e20) != e23 )
& ( op2(e21,e21) != e20
| op2(e23,e20) != e23 )
& ( op2(e20,e20) != e20
| op2(e23,e20) != e23 )
& ( op2(e23,e23) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e21,e21) != e23
| op2(e22,e23) != e22 )
& ( op2(e20,e20) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e21) != e22
| op2(e22,e22) != e22 )
& ( op2(e20,e20) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e21,e21) != e21
| op2(e22,e21) != e22 )
& ( op2(e20,e20) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e20
| op2(e22,e20) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e21,e21) != e20
| op2(e22,e20) != e22 )
& ( op2(e20,e20) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e20,e20) != e23
| op2(e21,e23) != e21 )
& ( op2(e23,e23) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e20,e20) != e22
| op2(e21,e22) != e21 )
& ( op2(e23,e23) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21 )
& ( op2(e23,e23) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e21,e20) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e20,e20) != e20
| op2(e21,e20) != e21 )
& ( op2(e23,e23) != e23
| op2(e20,e23) != e20 )
& ( op2(e22,e22) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e23,e23) != e22
| op2(e20,e22) != e20 )
& ( op2(e22,e22) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e23,e23) != e21
| op2(e20,e21) != e20 )
& ( op2(e22,e22) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e23,e23) != e20
| op2(e20,e20) != e20 )
& ( op2(e22,e22) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
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/sandbox2/benchmark/theBenchmark.p',ax6) ).
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/sandbox2/benchmark/theBenchmark.p',ax4) ).
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/sandbox2/benchmark/theBenchmark.p',ax1) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax15,axiom,
( h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e10) = op2(e21,op2(e21,e21))
& h2(e13) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(c_0_14,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]) ).
cnf(c_0_15,plain,
e10 = op1(e13,op1(e13,e13)),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_16,plain,
e11 = op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax12]) ).
fof(c_0_17,plain,
( op1(e13,e13) != e13
& ( op1(e12,e12) != e13
| op1(e13,e13) != e13 )
& ( op1(e11,e11) != e13
| op1(e13,e13) != e13 )
& ( op1(e10,e10) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e12,e12) != e12
| op1(e13,e12) != e13 )
& ( op1(e11,e11) != e12
| op1(e13,e12) != e13 )
& ( op1(e10,e10) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e12,e12) != e11
| op1(e13,e11) != e13 )
& ( op1(e11,e11) != e11
| op1(e13,e11) != e13 )
& ( op1(e10,e10) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( op1(e12,e12) != e10
| op1(e13,e10) != e13 )
& ( op1(e11,e11) != e10
| op1(e13,e10) != e13 )
& ( op1(e10,e10) != e10
| op1(e13,e10) != e13 )
& ( op1(e13,e13) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e11,e11) != e13
| op1(e12,e13) != e12 )
& ( op1(e10,e10) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e12
| op1(e12,e12) != e12 )
& op1(e12,e12) != e12
& ( op1(e11,e11) != e12
| op1(e12,e12) != e12 )
& ( op1(e10,e10) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e11,e11) != e11
| op1(e12,e11) != e12 )
& ( op1(e10,e10) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e10
| op1(e12,e10) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e11,e11) != e10
| op1(e12,e10) != e12 )
& ( op1(e10,e10) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e10,e10) != e13
| op1(e11,e13) != e11 )
& ( op1(e13,e13) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e10,e10) != e12
| op1(e11,e12) != e11 )
& ( op1(e13,e13) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e11,e11) != e11 )
& op1(e11,e11) != e11
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11 )
& ( op1(e13,e13) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e11,e10) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e10,e10) != e10
| op1(e11,e10) != e11 )
& ( op1(e13,e13) != e13
| op1(e10,e13) != e10 )
& ( op1(e12,e12) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e13,e13) != e12
| op1(e10,e12) != e10 )
& ( op1(e12,e12) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e13,e13) != e11
| op1(e10,e11) != e10 )
& ( op1(e12,e12) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e13,e13) != e10
| op1(e10,e10) != e10 )
& ( op1(e12,e12) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) != e10 ),
inference(fof_simplification,[status(thm)],[ax10]) ).
fof(c_0_18,plain,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
inference(fof_simplification,[status(thm)],[ax7]) ).
fof(c_0_19,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_14]) ).
cnf(c_0_20,plain,
e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_21,plain,
op1(e13,e11) = e10,
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_22,plain,
( op1(e13,e13) != e13
& ( op1(e12,e12) != e13
| op1(e13,e13) != e13 )
& ( op1(e11,e11) != e13
| op1(e13,e13) != e13 )
& ( op1(e10,e10) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e12,e12) != e12
| op1(e13,e12) != e13 )
& ( op1(e11,e11) != e12
| op1(e13,e12) != e13 )
& ( op1(e10,e10) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e12,e12) != e11
| op1(e13,e11) != e13 )
& ( op1(e11,e11) != e11
| op1(e13,e11) != e13 )
& ( op1(e10,e10) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( op1(e12,e12) != e10
| op1(e13,e10) != e13 )
& ( op1(e11,e11) != e10
| op1(e13,e10) != e13 )
& ( op1(e10,e10) != e10
| op1(e13,e10) != e13 )
& ( op1(e13,e13) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e11,e11) != e13
| op1(e12,e13) != e12 )
& ( op1(e10,e10) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e12
| op1(e12,e12) != e12 )
& op1(e12,e12) != e12
& ( op1(e11,e11) != e12
| op1(e12,e12) != e12 )
& ( op1(e10,e10) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e11,e11) != e11
| op1(e12,e11) != e12 )
& ( op1(e10,e10) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e10
| op1(e12,e10) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e11,e11) != e10
| op1(e12,e10) != e12 )
& ( op1(e10,e10) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e10,e10) != e13
| op1(e11,e13) != e11 )
& ( op1(e13,e13) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e10,e10) != e12
| op1(e11,e12) != e11 )
& ( op1(e13,e13) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e11,e11) != e11 )
& op1(e11,e11) != e11
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11 )
& ( op1(e13,e13) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e11,e10) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e10,e10) != e10
| op1(e11,e10) != e11 )
& ( op1(e13,e13) != e13
| op1(e10,e13) != e10 )
& ( op1(e12,e12) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e13,e13) != e12
| op1(e10,e12) != e10 )
& ( op1(e12,e12) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e13,e13) != e11
| op1(e10,e11) != e10 )
& ( op1(e12,e12) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e13,e13) != e10
| op1(e10,e10) != e10 )
& ( op1(e12,e12) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) != e10 ),
inference(fof_nnf,[status(thm)],[c_0_17]) ).
fof(c_0_23,plain,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
inference(fof_nnf,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
op1(e10,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_26,plain,
op1(e10,e11) = e12,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_16]),c_0_21]),c_0_16]) ).
cnf(c_0_27,plain,
op1(e10,e10) != e10,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
e10 != e12,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,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_30,plain,
e11 != e12,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,plain,
op1(e10,e13) != e11,
inference(rw,[status(thm)],[c_0_24,c_0_16]) ).
cnf(c_0_32,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_33,plain,
e12 != e13,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,plain,
( op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28]) ).
cnf(c_0_35,plain,
( op1(e10,e10) = e11
| op1(e10,e12) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_26]),c_0_30]),c_0_31]) ).
cnf(c_0_36,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_37,plain,
( op1(e10,e10) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_26]),c_0_33]) ).
cnf(c_0_38,plain,
e10 != e13,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_39,plain,
e20 = op2(e23,op2(e23,e23)),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_40,plain,
e21 = op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax13]) ).
fof(c_0_41,plain,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
inference(fof_simplification,[status(thm)],[ax8]) ).
fof(c_0_42,plain,
( op2(e23,e23) != e23
& ( op2(e22,e22) != e23
| op2(e23,e23) != e23 )
& ( op2(e21,e21) != e23
| op2(e23,e23) != e23 )
& ( op2(e20,e20) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e22,e22) != e22
| op2(e23,e22) != e23 )
& ( op2(e21,e21) != e22
| op2(e23,e22) != e23 )
& ( op2(e20,e20) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e22,e22) != e21
| op2(e23,e21) != e23 )
& ( op2(e21,e21) != e21
| op2(e23,e21) != e23 )
& ( op2(e20,e20) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( op2(e22,e22) != e20
| op2(e23,e20) != e23 )
& ( op2(e21,e21) != e20
| op2(e23,e20) != e23 )
& ( op2(e20,e20) != e20
| op2(e23,e20) != e23 )
& ( op2(e23,e23) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e21,e21) != e23
| op2(e22,e23) != e22 )
& ( op2(e20,e20) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e22
| op2(e22,e22) != e22 )
& op2(e22,e22) != e22
& ( op2(e21,e21) != e22
| op2(e22,e22) != e22 )
& ( op2(e20,e20) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e21,e21) != e21
| op2(e22,e21) != e22 )
& ( op2(e20,e20) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e20
| op2(e22,e20) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e21,e21) != e20
| op2(e22,e20) != e22 )
& ( op2(e20,e20) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e20,e20) != e23
| op2(e21,e23) != e21 )
& ( op2(e23,e23) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e20,e20) != e22
| op2(e21,e22) != e21 )
& ( op2(e23,e23) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e21,e21) != e21 )
& op2(e21,e21) != e21
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21 )
& ( op2(e23,e23) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e21,e20) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e20,e20) != e20
| op2(e21,e20) != e21 )
& ( op2(e23,e23) != e23
| op2(e20,e23) != e20 )
& ( op2(e22,e22) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e23,e23) != e22
| op2(e20,e22) != e20 )
& ( op2(e22,e22) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e23,e23) != e21
| op2(e20,e21) != e20 )
& ( op2(e22,e22) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e23,e23) != e20
| op2(e20,e20) != e20 )
& ( op2(e22,e22) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) != e20 ),
inference(fof_simplification,[status(thm)],[ax11]) ).
cnf(c_0_43,plain,
( op1(e10,e13) = e10
| op1(e10,e10) = e11 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_44,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e13
| op1(e10,e10) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_37]),c_0_38]) ).
cnf(c_0_45,plain,
e11 != e13,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_46,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_47,plain,
op1(e11,e11) != e11,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_48,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_49,plain,
e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_50,plain,
op2(e23,e21) = e20,
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_51,plain,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
inference(fof_nnf,[status(thm)],[c_0_41]) ).
fof(c_0_52,plain,
( op2(e23,e23) != e23
& ( op2(e22,e22) != e23
| op2(e23,e23) != e23 )
& ( op2(e21,e21) != e23
| op2(e23,e23) != e23 )
& ( op2(e20,e20) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e22,e22) != e22
| op2(e23,e22) != e23 )
& ( op2(e21,e21) != e22
| op2(e23,e22) != e23 )
& ( op2(e20,e20) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e22,e22) != e21
| op2(e23,e21) != e23 )
& ( op2(e21,e21) != e21
| op2(e23,e21) != e23 )
& ( op2(e20,e20) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( op2(e22,e22) != e20
| op2(e23,e20) != e23 )
& ( op2(e21,e21) != e20
| op2(e23,e20) != e23 )
& ( op2(e20,e20) != e20
| op2(e23,e20) != e23 )
& ( op2(e23,e23) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e21,e21) != e23
| op2(e22,e23) != e22 )
& ( op2(e20,e20) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e22
| op2(e22,e22) != e22 )
& op2(e22,e22) != e22
& ( op2(e21,e21) != e22
| op2(e22,e22) != e22 )
& ( op2(e20,e20) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e21,e21) != e21
| op2(e22,e21) != e22 )
& ( op2(e20,e20) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e20
| op2(e22,e20) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e21,e21) != e20
| op2(e22,e20) != e22 )
& ( op2(e20,e20) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e20,e20) != e23
| op2(e21,e23) != e21 )
& ( op2(e23,e23) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e20,e20) != e22
| op2(e21,e22) != e21 )
& ( op2(e23,e23) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e21,e21) != e21 )
& op2(e21,e21) != e21
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21 )
& ( op2(e23,e23) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e21,e20) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e20,e20) != e20
| op2(e21,e20) != e21 )
& ( op2(e23,e23) != e23
| op2(e20,e23) != e20 )
& ( op2(e22,e22) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e23,e23) != e22
| op2(e20,e22) != e20 )
& ( op2(e22,e22) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e23,e23) != e21
| op2(e20,e21) != e20 )
& ( op2(e22,e22) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e23,e23) != e20
| op2(e20,e20) != e20 )
& ( op2(e22,e22) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) != e20 ),
inference(fof_nnf,[status(thm)],[c_0_42]) ).
cnf(c_0_53,plain,
( op1(e11,e11) != e13
| op1(e10,e13) != e10 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_54,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_55,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_56,plain,
op1(e12,e11) = e11,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_26]),c_0_21]),c_0_30]),c_0_47]),c_0_36]) ).
cnf(c_0_57,plain,
op1(e10,e10) != op1(e10,e11),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_58,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_48]) ).
cnf(c_0_59,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_60,plain,
op2(e20,e21) = e22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_40]),c_0_50]),c_0_40]) ).
cnf(c_0_61,plain,
e21 != e22,
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_62,plain,
op2(e21,e21) != e21,
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_63,plain,
e20 != e21,
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_64,plain,
( op1(e11,e11) != e13
| op1(e10,e13) = e13 ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_65,plain,
op1(e11,e11) = e13,
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_55,c_0_26]),c_0_56]),c_0_21]),c_0_33]),c_0_45]),c_0_38]) ).
cnf(c_0_66,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_67,plain,
op1(e10,e10) != e12,
inference(rw,[status(thm)],[c_0_57,c_0_26]) ).
cnf(c_0_68,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_69,plain,
op2(e20,e20) != e20,
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_70,plain,
e20 != e22,
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_71,plain,
op2(e20,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_72,plain,
op2(e20,e20) != op2(e20,e21),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_73,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_74,plain,
op2(e22,e21) = e21,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60]),c_0_50]),c_0_61]),c_0_62]),c_0_63]) ).
cnf(c_0_75,plain,
e22 != e23,
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_76,plain,
e21 != e23,
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_77,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_78,plain,
op1(e10,e13) = e13,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65])]) ).
cnf(c_0_79,plain,
op1(e12,e11) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_80,plain,
op1(e13,e12) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_81,plain,
op1(e10,e10) != op1(e11,e10),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_82,plain,
( op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_66,c_0_27]),c_0_67]) ).
cnf(c_0_83,plain,
( op2(e20,e20) != e23
| op2(e20,e23) != e20 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_84,plain,
( op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_60]),c_0_69]),c_0_70]) ).
cnf(c_0_85,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_86,plain,
op2(e20,e23) != e21,
inference(rw,[status(thm)],[c_0_71,c_0_40]) ).
cnf(c_0_87,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_88,plain,
op2(e20,e20) != e22,
inference(rw,[status(thm)],[c_0_72,c_0_60]) ).
cnf(c_0_89,plain,
( op2(e21,e21) != e23
| op2(e20,e23) != e20 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_90,plain,
op2(e21,e21) = e23,
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_73,c_0_60]),c_0_74]),c_0_50]),c_0_75]),c_0_76]),c_0_77]) ).
cnf(c_0_91,plain,
op1(e13,e10) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_92,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_93,plain,
op1(e10,e12) = e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_78]),c_0_38]) ).
cnf(c_0_94,plain,
op1(e12,e12) != e11,
inference(rw,[status(thm)],[c_0_79,c_0_56]) ).
cnf(c_0_95,plain,
op1(e13,e12) != e11,
inference(rw,[status(thm)],[c_0_80,c_0_16]) ).
cnf(c_0_96,plain,
op1(e13,e10) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_97,plain,
( op1(e10,e10) != e13
| op1(e10,e13) != e10 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_98,plain,
( op1(e11,e10) != e11
| op1(e10,e10) = e13 ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_99,plain,
( op2(e20,e20) != e23
| op2(e20,e22) = e20 ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_100,plain,
( op2(e20,e20) = e21
| op2(e20,e22) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_60]),c_0_61]),c_0_86]) ).
cnf(c_0_101,plain,
( op2(e20,e20) = e21
| op2(e20,e20) = e23 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_87,c_0_69]),c_0_88]) ).
cnf(c_0_102,plain,
op2(e20,e23) != e20,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90])]) ).
cnf(c_0_103,plain,
op2(e22,e21) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_104,plain,
op2(e23,e22) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_105,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_106,plain,
op1(e13,e10) != e10,
inference(rw,[status(thm)],[c_0_91,c_0_21]) ).
cnf(c_0_107,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_108,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_109,plain,
op1(e11,e12) = e11,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93]),c_0_36]),c_0_94]),c_0_95]) ).
cnf(c_0_110,plain,
op1(e12,e12) != e12,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_111,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_112,plain,
op1(e13,e10) != e11,
inference(rw,[status(thm)],[c_0_96,c_0_16]) ).
cnf(c_0_113,plain,
( op1(e11,e10) != e11
| op1(e10,e13) != e10 ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_114,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_115,plain,
op2(e20,e20) = e21,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_63]),c_0_101]) ).
cnf(c_0_116,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_117,plain,
op2(e20,e22) = e20,
inference(sr,[status(thm)],[c_0_84,c_0_102]) ).
cnf(c_0_118,plain,
op2(e22,e22) != e21,
inference(rw,[status(thm)],[c_0_103,c_0_74]) ).
cnf(c_0_119,plain,
op2(e23,e22) != e21,
inference(rw,[status(thm)],[c_0_104,c_0_40]) ).
cnf(c_0_120,plain,
( op1(e11,e10) = e10
| op1(e12,e10) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_105,c_0_27]),c_0_106]) ).
cnf(c_0_121,plain,
( op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(sr,[status(thm)],[c_0_107,c_0_67]) ).
cnf(c_0_122,plain,
op1(e13,e10) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_123,plain,
op1(e13,e12) = e12,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_93]),c_0_109]),c_0_28]),c_0_30]),c_0_110]) ).
cnf(c_0_124,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11 ),
inference(sr,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_125,plain,
op1(e11,e10) != e11,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_43]),c_0_113]) ).
cnf(c_0_126,plain,
( op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_115]),c_0_60]),c_0_76]),c_0_75]) ).
fof(c_0_127,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_128,plain,
( epred1_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_129,plain,
( epred2_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_130,plain,
( epred3_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_131,plain,
( epred4_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_132,plain,
( op2(e21,e21) != e23
| op2(e22,e23) != e22 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_133,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_134,plain,
op2(e21,e22) = e21,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117]),c_0_63]),c_0_118]),c_0_119]) ).
cnf(c_0_135,plain,
op2(e22,e22) != e22,
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_136,plain,
( op1(e11,e10) = e10
| op1(e13,e10) = e12
| op1(e11,e10) = e12 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_28]) ).
cnf(c_0_137,plain,
op1(e13,e10) != e12,
inference(rw,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_138,plain,
( op1(e11,e11) != e13
| op1(e12,e13) != e12 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_139,plain,
op1(e12,e10) != op1(e12,e11),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_140,plain,
( op1(e12,e10) = e11
| op1(e10,e10) = e11 ),
inference(sr,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_141,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_142,plain,
op2(e20,e23) = e23,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_117]),c_0_77]) ).
cnf(c_0_143,plain,
op2(e23,e20) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
fof(c_0_144,negated_conjecture,
~ ( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& epred4_0 )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& epred3_0 )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& epred2_0 )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& epred1_0 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_127,c_0_128]),c_0_129]),c_0_130]),c_0_131]) ).
cnf(c_0_145,plain,
h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_146,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_147,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_148,plain,
op2(e22,e23) != e22,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_90])]) ).
cnf(c_0_149,plain,
( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_150,plain,
op2(e23,e20) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_151,plain,
op2(e23,e22) = e22,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_117]),c_0_134]),c_0_70]),c_0_61]),c_0_135]) ).
cnf(c_0_152,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_153,plain,
op2(e21,e20) != op2(e21,e21),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_154,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_155,plain,
op1(e11,e10) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_156,plain,
( op1(e11,e10) = e12
| op1(e11,e10) = e10 ),
inference(sr,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_157,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_158,plain,
op1(e12,e13) != e12,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_65])]) ).
cnf(c_0_159,plain,
( op1(e12,e11) != e11
| op1(e10,e10) = e11 ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_160,plain,
op1(e11,e10) != op1(e11,e11),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_161,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_162,plain,
op2(e22,e20) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_163,plain,
( op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_142]),c_0_40]),c_0_77]),c_0_63]) ).
cnf(c_0_164,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_165,plain,
op2(e23,e20) != e20,
inference(rw,[status(thm)],[c_0_143,c_0_50]) ).
fof(c_0_166,negated_conjecture,
( ( ~ epred4_0
| h4(e13) != e23 )
& ( ~ epred4_0
| h4(e12) != e23 )
& ( ~ epred4_0
| h4(e11) != e23 )
& ( ~ epred4_0
| h4(e10) != e23 )
& ( ~ epred3_0
| h3(e13) != e23 )
& ( ~ epred3_0
| h3(e12) != e23 )
& ( ~ epred3_0
| h3(e11) != e23 )
& ( ~ epred3_0
| h3(e10) != e23 )
& ( ~ epred2_0
| h2(e13) != e23 )
& ( ~ epred2_0
| h2(e12) != e23 )
& ( ~ epred2_0
| h2(e11) != e23 )
& ( ~ epred2_0
| h2(e10) != e23 )
& ( ~ epred1_0
| h1(e13) != e23 )
& ( ~ epred1_0
| h1(e12) != e23 )
& ( ~ epred1_0
| h1(e11) != e23 )
& ( ~ epred1_0
| h1(e10) != e23 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_144])])]) ).
fof(c_0_167,plain,
( ( ( 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)) )
=> epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_129]) ).
cnf(c_0_168,plain,
op2(h2(e10),op2(e21,e21)) = h2(e12),
inference(rw,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_169,plain,
h2(e10) = op2(e21,e23),
inference(rw,[status(thm)],[c_0_146,c_0_90]) ).
cnf(c_0_170,plain,
op2(e21,e23) = e22,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_142]),c_0_40]),c_0_75]),c_0_148]),c_0_61]) ).
cnf(c_0_171,plain,
( op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_115]),c_0_61]) ).
cnf(c_0_172,plain,
op2(e23,e20) != e22,
inference(rw,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_173,plain,
op2(e21,e20) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_174,plain,
( op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_115]),c_0_76]) ).
cnf(c_0_175,plain,
op2(e21,e20) != e23,
inference(rw,[status(thm)],[c_0_153,c_0_90]) ).
cnf(c_0_176,plain,
op2(e22,e20) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_177,plain,
op2(e22,e22) = e23,
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_154,c_0_117]),c_0_134]),c_0_151]),c_0_77]),c_0_76]),c_0_75]) ).
cnf(c_0_178,plain,
( op1(e11,e13) != e12
| op1(e11,e10) = e10 ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_179,plain,
op1(e11,e13) = e12,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_78]),c_0_16]),c_0_33]),c_0_158]),c_0_30]) ).
cnf(c_0_180,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_181,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_182,plain,
op1(e10,e10) = e11,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_56])]) ).
cnf(c_0_183,plain,
op1(e11,e10) != e13,
inference(rw,[status(thm)],[c_0_160,c_0_65]) ).
cnf(c_0_184,plain,
op1(e12,e10) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_185,plain,
op1(e12,e12) = e13,
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_161,c_0_93]),c_0_109]),c_0_123]),c_0_38]),c_0_45]),c_0_33]) ).
cnf(c_0_186,plain,
( op2(e22,e20) != e20
| op2(e21,e23) = e20 ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_187,plain,
( op2(e21,e20) = e20
| op2(e22,e20) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_164,c_0_69]),c_0_165]) ).
cnf(c_0_188,negated_conjecture,
( ~ epred2_0
| h2(e11) != e23 ),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
cnf(c_0_189,plain,
h2(e11) = op2(e21,e21),
inference(split_conjunct,[status(thm)],[ax15]) ).
fof(c_0_190,plain,
( ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e13) != e20
| h2(e13) != e21
| h2(e13) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e13) != e20
| h2(e13) != e21
| h2(e12) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e13) != e20
| h2(e13) != e21
| h2(e11) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e13) != e20
| h2(e13) != e21
| h2(e10) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e13) != e20
| h2(e12) != e21
| h2(e13) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e13) != e20
| h2(e12) != e21
| h2(e12) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e13) != e20
| h2(e12) != e21
| h2(e11) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e13) != e20
| h2(e12) != e21
| h2(e10) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e13) != e20
| h2(e11) != e21
| h2(e13) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e13) != e20
| h2(e11) != e21
| h2(e12) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e13) != e20
| h2(e11) != e21
| h2(e11) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e13) != e20
| h2(e11) != e21
| h2(e10) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e13) != e20
| h2(e10) != e21
| h2(e13) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e13) != e20
| h2(e10) != e21
| h2(e12) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e13) != e20
| h2(e10) != e21
| h2(e11) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e13) != e20
| h2(e10) != e21
| h2(e10) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e12) != e20
| h2(e13) != e21
| h2(e13) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e12) != e20
| h2(e13) != e21
| h2(e12) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e12) != e20
| h2(e13) != e21
| h2(e11) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e12) != e20
| h2(e13) != e21
| h2(e10) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e12) != e20
| h2(e12) != e21
| h2(e13) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e12) != e20
| h2(e12) != e21
| h2(e12) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e12) != e20
| h2(e12) != e21
| h2(e11) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e12) != e20
| h2(e12) != e21
| h2(e10) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e12) != e20
| h2(e11) != e21
| h2(e13) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e12) != e20
| h2(e11) != e21
| h2(e12) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e12) != e20
| h2(e11) != e21
| h2(e11) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e12) != e20
| h2(e11) != e21
| h2(e10) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e12) != e20
| h2(e10) != e21
| h2(e13) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e12) != e20
| h2(e10) != e21
| h2(e12) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e12) != e20
| h2(e10) != e21
| h2(e11) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e12) != e20
| h2(e10) != e21
| h2(e10) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e11) != e20
| h2(e13) != e21
| h2(e13) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e11) != e20
| h2(e13) != e21
| h2(e12) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e11) != e20
| h2(e13) != e21
| h2(e11) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e11) != e20
| h2(e13) != e21
| h2(e10) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e11) != e20
| h2(e12) != e21
| h2(e13) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e11) != e20
| h2(e12) != e21
| h2(e12) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e11) != e20
| h2(e12) != e21
| h2(e11) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e11) != e20
| h2(e12) != e21
| h2(e10) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e11) != e20
| h2(e11) != e21
| h2(e13) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e11) != e20
| h2(e11) != e21
| h2(e12) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e11) != e20
| h2(e11) != e21
| h2(e11) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e11) != e20
| h2(e11) != e21
| h2(e10) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e11) != e20
| h2(e10) != e21
| h2(e13) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e11) != e20
| h2(e10) != e21
| h2(e12) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e11) != e20
| h2(e10) != e21
| h2(e11) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e11) != e20
| h2(e10) != e21
| h2(e10) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e10) != e20
| h2(e13) != e21
| h2(e13) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e10) != e20
| h2(e13) != e21
| h2(e12) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e10) != e20
| h2(e13) != e21
| h2(e11) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e10) != e20
| h2(e13) != e21
| h2(e10) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e10) != e20
| h2(e12) != e21
| h2(e13) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e10) != e20
| h2(e12) != e21
| h2(e12) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e10) != e20
| h2(e12) != e21
| h2(e11) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e10) != e20
| h2(e12) != e21
| h2(e10) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e10) != e20
| h2(e11) != e21
| h2(e13) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e10) != e20
| h2(e11) != e21
| h2(e12) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e10) != e20
| h2(e11) != e21
| h2(e11) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e10) != e20
| h2(e11) != e21
| h2(e10) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e10) != e20
| h2(e10) != e21
| h2(e13) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e10) != e20
| h2(e10) != e21
| h2(e12) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e10) != e20
| h2(e10) != e21
| h2(e11) != e22 )
& ( epred2_0
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e10) != e20
| h2(e10) != e21
| h2(e10) != e22 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_167])])]) ).
cnf(c_0_191,plain,
op2(op2(e21,e23),e23) = h2(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_90]),c_0_169]) ).
cnf(c_0_192,plain,
op2(e22,e23) = e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_170]),c_0_70]) ).
cnf(c_0_193,plain,
( op2(e22,e20) = e22
| op2(e21,e20) = e22 ),
inference(sr,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_194,plain,
op2(e21,e20) != e22,
inference(rw,[status(thm)],[c_0_173,c_0_170]) ).
cnf(c_0_195,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e23 ),
inference(sr,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_196,plain,
op2(e22,e20) != e23,
inference(rw,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_197,plain,
( op1(e12,e10) = e12
| op1(e11,e10) = e12 ),
inference(sr,[status(thm)],[c_0_121,c_0_137]) ).
cnf(c_0_198,plain,
op1(e11,e10) = e10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_179])]) ).
cnf(c_0_199,plain,
( op1(e11,e13) = e10
| op1(e12,e13) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_78]),c_0_16]),c_0_38]),c_0_36]) ).
cnf(c_0_200,plain,
( op1(e13,e10) = e13
| op1(e12,e10) = e13 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_182]),c_0_45]),c_0_183]) ).
cnf(c_0_201,plain,
op1(e12,e10) != e13,
inference(rw,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_202,plain,
( op2(e21,e23) = e20
| op2(e21,e20) = e20 ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_203,negated_conjecture,
( ~ epred2_0
| op2(e21,e21) != e23 ),
inference(rw,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_204,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(e12) != e20
| h2(e13) != e21
| h2(e10) != e22
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_205,plain,
h2(e12) = e20,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_170]),c_0_192]) ).
cnf(c_0_206,plain,
h2(e13) = e21,
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_207,plain,
op2(e22,e20) = e22,
inference(sr,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_208,plain,
op2(e23,e20) = e23,
inference(sr,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_209,plain,
op1(e12,e10) = e12,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_198]),c_0_28]) ).
cnf(c_0_210,plain,
op1(e12,e13) = e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_179]),c_0_28]) ).
cnf(c_0_211,plain,
op1(e13,e10) = e13,
inference(sr,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_212,plain,
op2(e21,e20) = e20,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_170]),c_0_70]) ).
cnf(c_0_213,negated_conjecture,
~ epred2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_90])]) ).
cnf(c_0_214,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_204,c_0_169]),c_0_170]),c_0_205]),c_0_206]),c_0_182]),c_0_189]),c_0_90]),c_0_169]),c_0_170]),c_0_169]),c_0_170]),c_0_177]),c_0_26]),c_0_205]),c_0_169]),c_0_170]),c_0_189]),c_0_90]),c_0_192]),c_0_93]),c_0_169]),c_0_170]),c_0_169]),c_0_170]),c_0_205]),c_0_207]),c_0_78]),c_0_206]),c_0_169]),c_0_170]),c_0_206]),c_0_74]),c_0_198]),c_0_169]),c_0_170]),c_0_189]),c_0_90]),c_0_169]),c_0_170]),c_0_151]),c_0_65]),c_0_206]),c_0_189]),c_0_90]),c_0_189]),c_0_90]),c_0_40]),c_0_109]),c_0_189]),c_0_90]),c_0_189]),c_0_90]),c_0_205]),c_0_208]),c_0_179]),c_0_205]),c_0_189]),c_0_90]),c_0_206]),c_0_50]),c_0_209]),c_0_205]),c_0_205]),c_0_169]),c_0_170]),c_0_117]),c_0_56]),c_0_189]),c_0_90]),c_0_205]),c_0_189]),c_0_90]),c_0_142]),c_0_185]),c_0_206]),c_0_205]),c_0_205]),c_0_115]),c_0_210]),c_0_169]),c_0_170]),c_0_205]),c_0_206]),c_0_60]),c_0_211]),c_0_206]),c_0_206]),c_0_169]),c_0_170]),c_0_134]),c_0_21]),c_0_169]),c_0_170]),c_0_206]),c_0_189]),c_0_90]),c_0_170]),c_0_123]),c_0_205]),c_0_206]),c_0_205]),c_0_212]),c_0_16]),c_0_189]),c_0_90]),c_0_206]),c_0_206]),c_0_90])]),c_0_213]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG111+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n016.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 13:01:38 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 Running first-order theorem proving
% 0.15/0.43 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.34/0.61 % Version: 3.5.1
% 0.34/0.61 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.34/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.61 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.34/0.61 % Starting new_bool_3 with 300s (1) cores
% 0.34/0.61 % Starting new_bool_1 with 300s (1) cores
% 0.34/0.61 % Starting sh5l with 300s (1) cores
% 0.34/0.61 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2467504 completed with status 0
% 0.34/0.61 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.34/0.61 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.34/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.61 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.34/0.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.34/0.61 % No SInE strategy applied
% 0.34/0.61 % Search class: FGHSF-FMLM21-MFFFFFNN
% 0.34/0.61 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.34/0.61 % Starting SubtermCWHack with 136s (1) cores
% 0.34/0.61 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.34/0.61 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.34/0.61 % Starting new_bool_3 with 136s (1) cores
% 0.34/0.61 % Starting new_bool_1 with 136s (1) cores
% 0.34/0.61 % SubtermCWHack with pid 2467509 completed with status 0
% 0.34/0.61 % Result found by SubtermCWHack
% 0.34/0.61 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.34/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.61 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.34/0.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.34/0.61 % No SInE strategy applied
% 0.34/0.61 % Search class: FGHSF-FMLM21-MFFFFFNN
% 0.34/0.61 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.34/0.61 % Starting SubtermCWHack with 136s (1) cores
% 0.34/0.61 % Preprocessing time : 0.011 s
% 0.34/0.61
% 0.34/0.61 % Proof found!
% 0.34/0.61 % SZS status Theorem
% 0.34/0.61 % SZS output start CNFRefutation
% See solution above
% 0.34/0.61 % Parsed axioms : 18
% 0.34/0.61 % Removed by relevancy pruning/SinE : 0
% 0.34/0.61 % Initial clauses : 642
% 0.34/0.61 % Removed in clause preprocessing : 0
% 0.34/0.61 % Initial clauses in saturation : 642
% 0.34/0.61 % Processed clauses : 888
% 0.34/0.61 % ...of these trivial : 72
% 0.34/0.61 % ...subsumed : 457
% 0.34/0.61 % ...remaining for further processing : 358
% 0.34/0.61 % Other redundant clauses eliminated : 0
% 0.34/0.61 % Clauses deleted for lack of memory : 0
% 0.34/0.61 % Backward-subsumed : 55
% 0.34/0.61 % Backward-rewritten : 213
% 0.34/0.61 % Generated clauses : 307
% 0.34/0.61 % ...of the previous two non-redundant : 465
% 0.34/0.61 % ...aggressively subsumed : 0
% 0.34/0.61 % Contextual simplify-reflections : 2
% 0.34/0.61 % Paramodulations : 288
% 0.34/0.61 % Factorizations : 8
% 0.34/0.61 % NegExts : 0
% 0.34/0.61 % Equation resolutions : 0
% 0.34/0.61 % Disequality decompositions : 0
% 0.34/0.61 % Total rewrite steps : 11363
% 0.34/0.61 % ...of those cached : 11315
% 0.34/0.61 % Propositional unsat checks : 0
% 0.34/0.61 % Propositional check models : 0
% 0.34/0.61 % Propositional check unsatisfiable : 0
% 0.34/0.61 % Propositional clauses : 0
% 0.34/0.61 % Propositional clauses after purity: 0
% 0.34/0.61 % Propositional unsat core size : 0
% 0.34/0.61 % Propositional preprocessing time : 0.000
% 0.34/0.61 % Propositional encoding time : 0.000
% 0.34/0.61 % Propositional solver time : 0.000
% 0.34/0.61 % Success case prop preproc time : 0.000
% 0.34/0.61 % Success case prop encoding time : 0.000
% 0.34/0.61 % Success case prop solver time : 0.000
% 0.34/0.61 % Current number of processed clauses : 79
% 0.34/0.61 % Positive orientable unit clauses : 48
% 0.34/0.61 % Positive unorientable unit clauses: 0
% 0.34/0.61 % Negative unit clauses : 31
% 0.34/0.61 % Non-unit-clauses : 0
% 0.34/0.61 % Current number of unprocessed clauses: 157
% 0.34/0.61 % ...number of literals in the above : 3140
% 0.34/0.61 % Current number of archived formulas : 0
% 0.34/0.61 % Current number of archived clauses : 279
% 0.34/0.61 % Clause-clause subsumption calls (NU) : 639
% 0.34/0.61 % Rec. Clause-clause subsumption calls : 486
% 0.34/0.61 % Non-unit clause-clause subsumptions : 17
% 0.34/0.61 % Unit Clause-clause subsumption calls : 2576
% 0.34/0.61 % Rewrite failures with RHS unbound : 0
% 0.34/0.61 % BW rewrite match attempts : 34
% 0.34/0.61 % BW rewrite match successes : 34
% 0.34/0.61 % Condensation attempts : 0
% 0.34/0.61 % Condensation successes : 0
% 0.34/0.61 % Termbank termtop insertions : 113048
% 0.34/0.61 % Search garbage collected termcells : 3257
% 0.34/0.61
% 0.34/0.61 % -------------------------------------------------
% 0.34/0.61 % User time : 0.122 s
% 0.34/0.61 % System time : 0.010 s
% 0.34/0.61 % Total time : 0.132 s
% 0.34/0.61 % Maximum resident set size: 4568 pages
% 0.34/0.61
% 0.34/0.61 % -------------------------------------------------
% 0.34/0.61 % User time : 0.184 s
% 0.34/0.61 % System time : 0.030 s
% 0.34/0.61 % Total time : 0.214 s
% 0.34/0.61 % Maximum resident set size: 4864 pages
% 0.34/0.61 % E exiting
%------------------------------------------------------------------------------