%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG107+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 : n006.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 11:52:04 AM UTC 2026
% Result : Theorem 1.19s 0.62s
% Output : CNFRefutation 1.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 20
% Syntax : Number of formulae : 378 ( 148 unt; 0 def)
% Number of atoms : 3776 (3509 equ)
% Maximal formula atoms : 1280 ( 9 avg)
% Number of connectives : 5312 (1914 ~;2456 |; 933 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 84 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 7 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax13,axiom,
( e23 = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
& e21 = op2(e22,op2(e22,e22))
& e20 = op2(e22,e22) ),
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(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(ax12,axiom,
( e13 = op1(op1(e12,op1(e12,e12)),op1(e12,e12))
& e11 = op1(e12,op1(e12,e12))
& e10 = op1(e12,e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(ax7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
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(ax11,axiom,
( ( op2(e23,op2(e23,e23)) = e23
& op2(e22,op2(e23,e22)) = e22
& op2(e21,op2(e23,e21)) = e21
& op2(e20,op2(e23,e20)) = e20 )
| ( op2(e23,op2(e22,e23)) = e23
& op2(e22,op2(e22,e22)) = e22
& op2(e21,op2(e22,e21)) = e21
& op2(e20,op2(e22,e20)) = e20 )
| ( op2(e23,op2(e21,e23)) = e23
& op2(e22,op2(e21,e22)) = e22
& op2(e21,op2(e21,e21)) = e21
& op2(e20,op2(e21,e20)) = e20 )
| ( op2(e23,op2(e20,e23)) = e23
& op2(e22,op2(e20,e22)) = e22
& op2(e21,op2(e20,e21)) = e21
& op2(e20,op2(e20,e20)) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(ax10,axiom,
( ( op1(e13,op1(e13,e13)) = e13
& op1(e12,op1(e13,e12)) = e12
& op1(e11,op1(e13,e11)) = e11
& op1(e10,op1(e13,e10)) = e10 )
| ( op1(e13,op1(e12,e13)) = e13
& op1(e12,op1(e12,e12)) = e12
& op1(e11,op1(e12,e11)) = e11
& op1(e10,op1(e12,e10)) = e10 )
| ( op1(e13,op1(e11,e13)) = e13
& op1(e12,op1(e11,e12)) = e12
& op1(e11,op1(e11,e11)) = e11
& op1(e10,op1(e11,e10)) = e10 )
| ( op1(e13,op1(e10,e13)) = e13
& op1(e12,op1(e10,e12)) = e12
& op1(e11,op1(e10,e11)) = e11
& op1(e10,op1(e10,e10)) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
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(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(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(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(ax15,axiom,
( h2(e13) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e10) = op2(e21,e21)
& h2(e12) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(c_0_14,plain,
( epred5_0
<=> ( ( op2(e23,op2(e22,e23)) = e23
& op2(e22,op2(e22,e22)) = e22
& op2(e21,op2(e22,e21)) = e21
& op2(e20,op2(e22,e20)) = e20 )
| ( op2(e23,op2(e21,e23)) = e23
& op2(e22,op2(e21,e22)) = e22
& op2(e21,op2(e21,e21)) = e21
& op2(e20,op2(e21,e20)) = e20 )
| ( op2(e23,op2(e20,e23)) = e23
& op2(e22,op2(e20,e22)) = e22
& op2(e21,op2(e20,e21)) = e21
& op2(e20,op2(e20,e20)) = e20 ) ) ),
introduced(definition) ).
cnf(c_0_15,plain,
e21 = op2(e22,op2(e22,e22)),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_16,plain,
e20 = op2(e22,e22),
inference(split_conjunct,[status(thm)],[ax13]) ).
fof(c_0_17,plain,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
inference(fof_simplification,[status(thm)],[ax8]) ).
fof(c_0_18,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]) ).
fof(c_0_19,plain,
( epred6_0
<=> ( ( op1(e13,op1(e12,e13)) = e13
& op1(e12,op1(e12,e12)) = e12
& op1(e11,op1(e12,e11)) = e11
& op1(e10,op1(e12,e10)) = e10 )
| ( op1(e13,op1(e11,e13)) = e13
& op1(e12,op1(e11,e12)) = e12
& op1(e11,op1(e11,e11)) = e11
& op1(e10,op1(e11,e10)) = e10 )
| ( op1(e13,op1(e10,e13)) = e13
& op1(e12,op1(e10,e12)) = e12
& op1(e11,op1(e10,e11)) = e11
& op1(e10,op1(e10,e10)) = e10 ) ) ),
introduced(definition) ).
cnf(c_0_20,plain,
e11 = op1(e12,op1(e12,e12)),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_21,plain,
e10 = op1(e12,e12),
inference(split_conjunct,[status(thm)],[ax12]) ).
fof(c_0_22,plain,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
inference(fof_simplification,[status(thm)],[ax7]) ).
fof(c_0_23,plain,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
inference(fof_simplification,[status(thm)],[ax5]) ).
fof(c_0_24,axiom,
( ( op2(e23,op2(e23,e23)) = e23
& op2(e22,op2(e23,e22)) = e22
& op2(e21,op2(e23,e21)) = e21
& op2(e20,op2(e23,e20)) = e20 )
| epred5_0 ),
inference(apply_def,[status(thm)],[ax11,c_0_14]) ).
cnf(c_0_25,plain,
e23 = op2(op2(e22,op2(e22,e22)),op2(e22,e22)),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_26,plain,
op2(e22,e20) = e21,
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_27,plain,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
inference(fof_nnf,[status(thm)],[c_0_17]) ).
fof(c_0_28,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_18]) ).
fof(c_0_29,axiom,
( ( op1(e13,op1(e13,e13)) = e13
& op1(e12,op1(e13,e12)) = e12
& op1(e11,op1(e13,e11)) = e11
& op1(e10,op1(e13,e10)) = e10 )
| epred6_0 ),
inference(apply_def,[status(thm)],[ax10,c_0_19]) ).
cnf(c_0_30,plain,
e13 = op1(op1(e12,op1(e12,e12)),op1(e12,e12)),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_31,plain,
op1(e12,e10) = e11,
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_32,plain,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
inference(fof_nnf,[status(thm)],[c_0_22]) ).
fof(c_0_33,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_23]) ).
fof(c_0_34,plain,
( ( epred5_0
| op2(e23,op2(e23,e23)) = e23 )
& ( epred5_0
| op2(e22,op2(e23,e22)) = e22 )
& ( epred5_0
| op2(e21,op2(e23,e21)) = e21 )
& ( epred5_0
| op2(e20,op2(e23,e20)) = e20 ) ),
inference(distribute,[status(thm)],[c_0_24]) ).
cnf(c_0_35,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_36,plain,
op2(e21,e20) = e23,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_16]),c_0_26]),c_0_16]) ).
cnf(c_0_37,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_38,plain,
e20 != e21,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_39,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_40,plain,
e22 != e23,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_41,plain,
e21 != e22,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_42,plain,
op2(e20,e22) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_43,plain,
( ( epred6_0
| op1(e13,op1(e13,e13)) = e13 )
& ( epred6_0
| op1(e12,op1(e13,e12)) = e12 )
& ( epred6_0
| op1(e11,op1(e13,e11)) = e11 )
& ( epred6_0
| op1(e10,op1(e13,e10)) = e10 ) ),
inference(distribute,[status(thm)],[c_0_29]) ).
cnf(c_0_44,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_45,plain,
op1(e11,e10) = e13,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_21]),c_0_31]),c_0_21]) ).
cnf(c_0_46,plain,
e10 != e13,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_47,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_48,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_49,plain,
e12 != e13,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_50,plain,
e11 != e12,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_51,plain,
op1(e10,e12) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_52,plain,
( epred5_0
=> ( ( op2(e23,op2(e22,e23)) = e23
& op2(e22,op2(e22,e22)) = e22
& op2(e21,op2(e22,e21)) = e21
& op2(e20,op2(e22,e20)) = e20 )
| ( op2(e23,op2(e21,e23)) = e23
& op2(e22,op2(e21,e22)) = e22
& op2(e21,op2(e21,e21)) = e21
& op2(e20,op2(e21,e20)) = e20 )
| ( op2(e23,op2(e20,e23)) = e23
& op2(e22,op2(e20,e22)) = e22
& op2(e21,op2(e20,e21)) = e21
& op2(e20,op2(e20,e20)) = e20 ) ) ),
inference(split_equiv,[status(thm)],[c_0_14]) ).
cnf(c_0_53,plain,
( epred5_0
| op2(e20,op2(e23,e20)) = e20 ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_54,plain,
( op2(e20,e20) = e20
| op2(e23,e20) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36]),c_0_26]),c_0_37]),c_0_38]) ).
cnf(c_0_55,plain,
( op2(e20,e20) = e22
| op2(e23,e20) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_36]),c_0_26]),c_0_40]),c_0_41]) ).
cnf(c_0_56,plain,
op2(e20,e22) != e20,
inference(rw,[status(thm)],[c_0_42,c_0_16]) ).
fof(c_0_57,plain,
( epred6_0
=> ( ( op1(e13,op1(e12,e13)) = e13
& op1(e12,op1(e12,e12)) = e12
& op1(e11,op1(e12,e11)) = e11
& op1(e10,op1(e12,e10)) = e10 )
| ( op1(e13,op1(e11,e13)) = e13
& op1(e12,op1(e11,e12)) = e12
& op1(e11,op1(e11,e11)) = e11
& op1(e10,op1(e11,e10)) = e10 )
| ( op1(e13,op1(e10,e13)) = e13
& op1(e12,op1(e10,e12)) = e12
& op1(e11,op1(e10,e11)) = e11
& op1(e10,op1(e10,e10)) = e10 ) ) ),
inference(split_equiv,[status(thm)],[c_0_19]) ).
cnf(c_0_58,plain,
( epred6_0
| op1(e10,op1(e13,e10)) = e10 ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_59,plain,
( op1(e10,e10) = e10
| op1(e13,e10) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45]),c_0_31]),c_0_46]),c_0_47]) ).
cnf(c_0_60,plain,
( op1(e10,e10) = e12
| op1(e13,e10) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_45]),c_0_31]),c_0_49]),c_0_50]) ).
cnf(c_0_61,plain,
op1(e10,e12) != e10,
inference(rw,[status(thm)],[c_0_51,c_0_21]) ).
cnf(c_0_62,plain,
op2(e22,e22) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_63,plain,
op2(e21,e22) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_64,plain,
( ( ~ epred5_0
| op2(e23,op2(e20,e23)) = e23
| op2(e23,op2(e21,e23)) = e23
| op2(e23,op2(e22,e23)) = e23 )
& ( ~ epred5_0
| op2(e23,op2(e20,e23)) = e23
| op2(e23,op2(e21,e23)) = e23
| op2(e22,op2(e22,e22)) = e22 )
& ( ~ epred5_0
| op2(e23,op2(e20,e23)) = e23
| op2(e23,op2(e21,e23)) = e23
| op2(e21,op2(e22,e21)) = e21 )
& ( ~ epred5_0
| op2(e23,op2(e20,e23)) = e23
| op2(e23,op2(e21,e23)) = e23
| op2(e20,op2(e22,e20)) = e20 )
& ( ~ epred5_0
| op2(e23,op2(e20,e23)) = e23
| op2(e22,op2(e21,e22)) = e22
| op2(e23,op2(e22,e23)) = e23 )
& ( ~ epred5_0
| op2(e23,op2(e20,e23)) = e23
| op2(e22,op2(e21,e22)) = e22
| op2(e22,op2(e22,e22)) = e22 )
& ( ~ epred5_0
| op2(e23,op2(e20,e23)) = e23
| op2(e22,op2(e21,e22)) = e22
| op2(e21,op2(e22,e21)) = e21 )
& ( ~ epred5_0
| op2(e23,op2(e20,e23)) = e23
| op2(e22,op2(e21,e22)) = e22
| op2(e20,op2(e22,e20)) = e20 )
& ( ~ epred5_0
| op2(e23,op2(e20,e23)) = e23
| op2(e21,op2(e21,e21)) = e21
| op2(e23,op2(e22,e23)) = e23 )
& ( ~ epred5_0
| op2(e23,op2(e20,e23)) = e23
| op2(e21,op2(e21,e21)) = e21
| op2(e22,op2(e22,e22)) = e22 )
& ( ~ epred5_0
| op2(e23,op2(e20,e23)) = e23
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e22,e21)) = e21 )
& ( ~ epred5_0
| op2(e23,op2(e20,e23)) = e23
| op2(e21,op2(e21,e21)) = e21
| op2(e20,op2(e22,e20)) = e20 )
& ( ~ epred5_0
| op2(e23,op2(e20,e23)) = e23
| op2(e20,op2(e21,e20)) = e20
| op2(e23,op2(e22,e23)) = e23 )
& ( ~ epred5_0
| op2(e23,op2(e20,e23)) = e23
| op2(e20,op2(e21,e20)) = e20
| op2(e22,op2(e22,e22)) = e22 )
& ( ~ epred5_0
| op2(e23,op2(e20,e23)) = e23
| op2(e20,op2(e21,e20)) = e20
| op2(e21,op2(e22,e21)) = e21 )
& ( ~ epred5_0
| op2(e23,op2(e20,e23)) = e23
| op2(e20,op2(e21,e20)) = e20
| op2(e20,op2(e22,e20)) = e20 )
& ( ~ epred5_0
| op2(e22,op2(e20,e22)) = e22
| op2(e23,op2(e21,e23)) = e23
| op2(e23,op2(e22,e23)) = e23 )
& ( ~ epred5_0
| op2(e22,op2(e20,e22)) = e22
| op2(e23,op2(e21,e23)) = e23
| op2(e22,op2(e22,e22)) = e22 )
& ( ~ epred5_0
| op2(e22,op2(e20,e22)) = e22
| op2(e23,op2(e21,e23)) = e23
| op2(e21,op2(e22,e21)) = e21 )
& ( ~ epred5_0
| op2(e22,op2(e20,e22)) = e22
| op2(e23,op2(e21,e23)) = e23
| op2(e20,op2(e22,e20)) = e20 )
& ( ~ epred5_0
| op2(e22,op2(e20,e22)) = e22
| op2(e22,op2(e21,e22)) = e22
| op2(e23,op2(e22,e23)) = e23 )
& ( ~ epred5_0
| op2(e22,op2(e20,e22)) = e22
| op2(e22,op2(e21,e22)) = e22
| op2(e22,op2(e22,e22)) = e22 )
& ( ~ epred5_0
| op2(e22,op2(e20,e22)) = e22
| op2(e22,op2(e21,e22)) = e22
| op2(e21,op2(e22,e21)) = e21 )
& ( ~ epred5_0
| op2(e22,op2(e20,e22)) = e22
| op2(e22,op2(e21,e22)) = e22
| op2(e20,op2(e22,e20)) = e20 )
& ( ~ epred5_0
| op2(e22,op2(e20,e22)) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e23,op2(e22,e23)) = e23 )
& ( ~ epred5_0
| op2(e22,op2(e20,e22)) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e22,op2(e22,e22)) = e22 )
& ( ~ epred5_0
| op2(e22,op2(e20,e22)) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e22,e21)) = e21 )
& ( ~ epred5_0
| op2(e22,op2(e20,e22)) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e20,op2(e22,e20)) = e20 )
& ( ~ epred5_0
| op2(e22,op2(e20,e22)) = e22
| op2(e20,op2(e21,e20)) = e20
| op2(e23,op2(e22,e23)) = e23 )
& ( ~ epred5_0
| op2(e22,op2(e20,e22)) = e22
| op2(e20,op2(e21,e20)) = e20
| op2(e22,op2(e22,e22)) = e22 )
& ( ~ epred5_0
| op2(e22,op2(e20,e22)) = e22
| op2(e20,op2(e21,e20)) = e20
| op2(e21,op2(e22,e21)) = e21 )
& ( ~ epred5_0
| op2(e22,op2(e20,e22)) = e22
| op2(e20,op2(e21,e20)) = e20
| op2(e20,op2(e22,e20)) = e20 )
& ( ~ epred5_0
| op2(e21,op2(e20,e21)) = e21
| op2(e23,op2(e21,e23)) = e23
| op2(e23,op2(e22,e23)) = e23 )
& ( ~ epred5_0
| op2(e21,op2(e20,e21)) = e21
| op2(e23,op2(e21,e23)) = e23
| op2(e22,op2(e22,e22)) = e22 )
& ( ~ epred5_0
| op2(e21,op2(e20,e21)) = e21
| op2(e23,op2(e21,e23)) = e23
| op2(e21,op2(e22,e21)) = e21 )
& ( ~ epred5_0
| op2(e21,op2(e20,e21)) = e21
| op2(e23,op2(e21,e23)) = e23
| op2(e20,op2(e22,e20)) = e20 )
& ( ~ epred5_0
| op2(e21,op2(e20,e21)) = e21
| op2(e22,op2(e21,e22)) = e22
| op2(e23,op2(e22,e23)) = e23 )
& ( ~ epred5_0
| op2(e21,op2(e20,e21)) = e21
| op2(e22,op2(e21,e22)) = e22
| op2(e22,op2(e22,e22)) = e22 )
& ( ~ epred5_0
| op2(e21,op2(e20,e21)) = e21
| op2(e22,op2(e21,e22)) = e22
| op2(e21,op2(e22,e21)) = e21 )
& ( ~ epred5_0
| op2(e21,op2(e20,e21)) = e21
| op2(e22,op2(e21,e22)) = e22
| op2(e20,op2(e22,e20)) = e20 )
& ( ~ epred5_0
| op2(e21,op2(e20,e21)) = e21
| op2(e21,op2(e21,e21)) = e21
| op2(e23,op2(e22,e23)) = e23 )
& ( ~ epred5_0
| op2(e21,op2(e20,e21)) = e21
| op2(e21,op2(e21,e21)) = e21
| op2(e22,op2(e22,e22)) = e22 )
& ( ~ epred5_0
| op2(e21,op2(e20,e21)) = e21
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e22,e21)) = e21 )
& ( ~ epred5_0
| op2(e21,op2(e20,e21)) = e21
| op2(e21,op2(e21,e21)) = e21
| op2(e20,op2(e22,e20)) = e20 )
& ( ~ epred5_0
| op2(e21,op2(e20,e21)) = e21
| op2(e20,op2(e21,e20)) = e20
| op2(e23,op2(e22,e23)) = e23 )
& ( ~ epred5_0
| op2(e21,op2(e20,e21)) = e21
| op2(e20,op2(e21,e20)) = e20
| op2(e22,op2(e22,e22)) = e22 )
& ( ~ epred5_0
| op2(e21,op2(e20,e21)) = e21
| op2(e20,op2(e21,e20)) = e20
| op2(e21,op2(e22,e21)) = e21 )
& ( ~ epred5_0
| op2(e21,op2(e20,e21)) = e21
| op2(e20,op2(e21,e20)) = e20
| op2(e20,op2(e22,e20)) = e20 )
& ( ~ epred5_0
| op2(e20,op2(e20,e20)) = e20
| op2(e23,op2(e21,e23)) = e23
| op2(e23,op2(e22,e23)) = e23 )
& ( ~ epred5_0
| op2(e20,op2(e20,e20)) = e20
| op2(e23,op2(e21,e23)) = e23
| op2(e22,op2(e22,e22)) = e22 )
& ( ~ epred5_0
| op2(e20,op2(e20,e20)) = e20
| op2(e23,op2(e21,e23)) = e23
| op2(e21,op2(e22,e21)) = e21 )
& ( ~ epred5_0
| op2(e20,op2(e20,e20)) = e20
| op2(e23,op2(e21,e23)) = e23
| op2(e20,op2(e22,e20)) = e20 )
& ( ~ epred5_0
| op2(e20,op2(e20,e20)) = e20
| op2(e22,op2(e21,e22)) = e22
| op2(e23,op2(e22,e23)) = e23 )
& ( ~ epred5_0
| op2(e20,op2(e20,e20)) = e20
| op2(e22,op2(e21,e22)) = e22
| op2(e22,op2(e22,e22)) = e22 )
& ( ~ epred5_0
| op2(e20,op2(e20,e20)) = e20
| op2(e22,op2(e21,e22)) = e22
| op2(e21,op2(e22,e21)) = e21 )
& ( ~ epred5_0
| op2(e20,op2(e20,e20)) = e20
| op2(e22,op2(e21,e22)) = e22
| op2(e20,op2(e22,e20)) = e20 )
& ( ~ epred5_0
| op2(e20,op2(e20,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e23,op2(e22,e23)) = e23 )
& ( ~ epred5_0
| op2(e20,op2(e20,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e22,op2(e22,e22)) = e22 )
& ( ~ epred5_0
| op2(e20,op2(e20,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e22,e21)) = e21 )
& ( ~ epred5_0
| op2(e20,op2(e20,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e20,op2(e22,e20)) = e20 )
& ( ~ epred5_0
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e21,e20)) = e20
| op2(e23,op2(e22,e23)) = e23 )
& ( ~ epred5_0
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e21,e20)) = e20
| op2(e22,op2(e22,e22)) = e22 )
& ( ~ epred5_0
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e21,e20)) = e20
| op2(e21,op2(e22,e21)) = e21 )
& ( ~ epred5_0
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e21,e20)) = e20
| op2(e20,op2(e22,e20)) = e20 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])]) ).
cnf(c_0_65,plain,
( epred5_0
| op2(e20,e20) = e20 ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_66,plain,
( epred5_0
| op2(e20,e20) = e22 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_55]),c_0_56]) ).
cnf(c_0_67,plain,
e20 != e22,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_68,plain,
op2(e20,e20) != op2(e22,e20),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_69,plain,
op1(e11,e12) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_70,plain,
( ( ~ epred6_0
| op1(e13,op1(e10,e13)) = e13
| op1(e13,op1(e11,e13)) = e13
| op1(e13,op1(e12,e13)) = e13 )
& ( ~ epred6_0
| op1(e13,op1(e10,e13)) = e13
| op1(e13,op1(e11,e13)) = e13
| op1(e12,op1(e12,e12)) = e12 )
& ( ~ epred6_0
| op1(e13,op1(e10,e13)) = e13
| op1(e13,op1(e11,e13)) = e13
| op1(e11,op1(e12,e11)) = e11 )
& ( ~ epred6_0
| op1(e13,op1(e10,e13)) = e13
| op1(e13,op1(e11,e13)) = e13
| op1(e10,op1(e12,e10)) = e10 )
& ( ~ epred6_0
| op1(e13,op1(e10,e13)) = e13
| op1(e12,op1(e11,e12)) = e12
| op1(e13,op1(e12,e13)) = e13 )
& ( ~ epred6_0
| op1(e13,op1(e10,e13)) = e13
| op1(e12,op1(e11,e12)) = e12
| op1(e12,op1(e12,e12)) = e12 )
& ( ~ epred6_0
| op1(e13,op1(e10,e13)) = e13
| op1(e12,op1(e11,e12)) = e12
| op1(e11,op1(e12,e11)) = e11 )
& ( ~ epred6_0
| op1(e13,op1(e10,e13)) = e13
| op1(e12,op1(e11,e12)) = e12
| op1(e10,op1(e12,e10)) = e10 )
& ( ~ epred6_0
| op1(e13,op1(e10,e13)) = e13
| op1(e11,op1(e11,e11)) = e11
| op1(e13,op1(e12,e13)) = e13 )
& ( ~ epred6_0
| op1(e13,op1(e10,e13)) = e13
| op1(e11,op1(e11,e11)) = e11
| op1(e12,op1(e12,e12)) = e12 )
& ( ~ epred6_0
| op1(e13,op1(e10,e13)) = e13
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e12,e11)) = e11 )
& ( ~ epred6_0
| op1(e13,op1(e10,e13)) = e13
| op1(e11,op1(e11,e11)) = e11
| op1(e10,op1(e12,e10)) = e10 )
& ( ~ epred6_0
| op1(e13,op1(e10,e13)) = e13
| op1(e10,op1(e11,e10)) = e10
| op1(e13,op1(e12,e13)) = e13 )
& ( ~ epred6_0
| op1(e13,op1(e10,e13)) = e13
| op1(e10,op1(e11,e10)) = e10
| op1(e12,op1(e12,e12)) = e12 )
& ( ~ epred6_0
| op1(e13,op1(e10,e13)) = e13
| op1(e10,op1(e11,e10)) = e10
| op1(e11,op1(e12,e11)) = e11 )
& ( ~ epred6_0
| op1(e13,op1(e10,e13)) = e13
| op1(e10,op1(e11,e10)) = e10
| op1(e10,op1(e12,e10)) = e10 )
& ( ~ epred6_0
| op1(e12,op1(e10,e12)) = e12
| op1(e13,op1(e11,e13)) = e13
| op1(e13,op1(e12,e13)) = e13 )
& ( ~ epred6_0
| op1(e12,op1(e10,e12)) = e12
| op1(e13,op1(e11,e13)) = e13
| op1(e12,op1(e12,e12)) = e12 )
& ( ~ epred6_0
| op1(e12,op1(e10,e12)) = e12
| op1(e13,op1(e11,e13)) = e13
| op1(e11,op1(e12,e11)) = e11 )
& ( ~ epred6_0
| op1(e12,op1(e10,e12)) = e12
| op1(e13,op1(e11,e13)) = e13
| op1(e10,op1(e12,e10)) = e10 )
& ( ~ epred6_0
| op1(e12,op1(e10,e12)) = e12
| op1(e12,op1(e11,e12)) = e12
| op1(e13,op1(e12,e13)) = e13 )
& ( ~ epred6_0
| op1(e12,op1(e10,e12)) = e12
| op1(e12,op1(e11,e12)) = e12
| op1(e12,op1(e12,e12)) = e12 )
& ( ~ epred6_0
| op1(e12,op1(e10,e12)) = e12
| op1(e12,op1(e11,e12)) = e12
| op1(e11,op1(e12,e11)) = e11 )
& ( ~ epred6_0
| op1(e12,op1(e10,e12)) = e12
| op1(e12,op1(e11,e12)) = e12
| op1(e10,op1(e12,e10)) = e10 )
& ( ~ epred6_0
| op1(e12,op1(e10,e12)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e13,op1(e12,e13)) = e13 )
& ( ~ epred6_0
| op1(e12,op1(e10,e12)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e12,op1(e12,e12)) = e12 )
& ( ~ epred6_0
| op1(e12,op1(e10,e12)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e12,e11)) = e11 )
& ( ~ epred6_0
| op1(e12,op1(e10,e12)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e10,op1(e12,e10)) = e10 )
& ( ~ epred6_0
| op1(e12,op1(e10,e12)) = e12
| op1(e10,op1(e11,e10)) = e10
| op1(e13,op1(e12,e13)) = e13 )
& ( ~ epred6_0
| op1(e12,op1(e10,e12)) = e12
| op1(e10,op1(e11,e10)) = e10
| op1(e12,op1(e12,e12)) = e12 )
& ( ~ epred6_0
| op1(e12,op1(e10,e12)) = e12
| op1(e10,op1(e11,e10)) = e10
| op1(e11,op1(e12,e11)) = e11 )
& ( ~ epred6_0
| op1(e12,op1(e10,e12)) = e12
| op1(e10,op1(e11,e10)) = e10
| op1(e10,op1(e12,e10)) = e10 )
& ( ~ epred6_0
| op1(e11,op1(e10,e11)) = e11
| op1(e13,op1(e11,e13)) = e13
| op1(e13,op1(e12,e13)) = e13 )
& ( ~ epred6_0
| op1(e11,op1(e10,e11)) = e11
| op1(e13,op1(e11,e13)) = e13
| op1(e12,op1(e12,e12)) = e12 )
& ( ~ epred6_0
| op1(e11,op1(e10,e11)) = e11
| op1(e13,op1(e11,e13)) = e13
| op1(e11,op1(e12,e11)) = e11 )
& ( ~ epred6_0
| op1(e11,op1(e10,e11)) = e11
| op1(e13,op1(e11,e13)) = e13
| op1(e10,op1(e12,e10)) = e10 )
& ( ~ epred6_0
| op1(e11,op1(e10,e11)) = e11
| op1(e12,op1(e11,e12)) = e12
| op1(e13,op1(e12,e13)) = e13 )
& ( ~ epred6_0
| op1(e11,op1(e10,e11)) = e11
| op1(e12,op1(e11,e12)) = e12
| op1(e12,op1(e12,e12)) = e12 )
& ( ~ epred6_0
| op1(e11,op1(e10,e11)) = e11
| op1(e12,op1(e11,e12)) = e12
| op1(e11,op1(e12,e11)) = e11 )
& ( ~ epred6_0
| op1(e11,op1(e10,e11)) = e11
| op1(e12,op1(e11,e12)) = e12
| op1(e10,op1(e12,e10)) = e10 )
& ( ~ epred6_0
| op1(e11,op1(e10,e11)) = e11
| op1(e11,op1(e11,e11)) = e11
| op1(e13,op1(e12,e13)) = e13 )
& ( ~ epred6_0
| op1(e11,op1(e10,e11)) = e11
| op1(e11,op1(e11,e11)) = e11
| op1(e12,op1(e12,e12)) = e12 )
& ( ~ epred6_0
| op1(e11,op1(e10,e11)) = e11
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e12,e11)) = e11 )
& ( ~ epred6_0
| op1(e11,op1(e10,e11)) = e11
| op1(e11,op1(e11,e11)) = e11
| op1(e10,op1(e12,e10)) = e10 )
& ( ~ epred6_0
| op1(e11,op1(e10,e11)) = e11
| op1(e10,op1(e11,e10)) = e10
| op1(e13,op1(e12,e13)) = e13 )
& ( ~ epred6_0
| op1(e11,op1(e10,e11)) = e11
| op1(e10,op1(e11,e10)) = e10
| op1(e12,op1(e12,e12)) = e12 )
& ( ~ epred6_0
| op1(e11,op1(e10,e11)) = e11
| op1(e10,op1(e11,e10)) = e10
| op1(e11,op1(e12,e11)) = e11 )
& ( ~ epred6_0
| op1(e11,op1(e10,e11)) = e11
| op1(e10,op1(e11,e10)) = e10
| op1(e10,op1(e12,e10)) = e10 )
& ( ~ epred6_0
| op1(e10,op1(e10,e10)) = e10
| op1(e13,op1(e11,e13)) = e13
| op1(e13,op1(e12,e13)) = e13 )
& ( ~ epred6_0
| op1(e10,op1(e10,e10)) = e10
| op1(e13,op1(e11,e13)) = e13
| op1(e12,op1(e12,e12)) = e12 )
& ( ~ epred6_0
| op1(e10,op1(e10,e10)) = e10
| op1(e13,op1(e11,e13)) = e13
| op1(e11,op1(e12,e11)) = e11 )
& ( ~ epred6_0
| op1(e10,op1(e10,e10)) = e10
| op1(e13,op1(e11,e13)) = e13
| op1(e10,op1(e12,e10)) = e10 )
& ( ~ epred6_0
| op1(e10,op1(e10,e10)) = e10
| op1(e12,op1(e11,e12)) = e12
| op1(e13,op1(e12,e13)) = e13 )
& ( ~ epred6_0
| op1(e10,op1(e10,e10)) = e10
| op1(e12,op1(e11,e12)) = e12
| op1(e12,op1(e12,e12)) = e12 )
& ( ~ epred6_0
| op1(e10,op1(e10,e10)) = e10
| op1(e12,op1(e11,e12)) = e12
| op1(e11,op1(e12,e11)) = e11 )
& ( ~ epred6_0
| op1(e10,op1(e10,e10)) = e10
| op1(e12,op1(e11,e12)) = e12
| op1(e10,op1(e12,e10)) = e10 )
& ( ~ epred6_0
| op1(e10,op1(e10,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e13,op1(e12,e13)) = e13 )
& ( ~ epred6_0
| op1(e10,op1(e10,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e12,op1(e12,e12)) = e12 )
& ( ~ epred6_0
| op1(e10,op1(e10,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e12,e11)) = e11 )
& ( ~ epred6_0
| op1(e10,op1(e10,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e10,op1(e12,e10)) = e10 )
& ( ~ epred6_0
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e11,e10)) = e10
| op1(e13,op1(e12,e13)) = e13 )
& ( ~ epred6_0
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e11,e10)) = e10
| op1(e12,op1(e12,e12)) = e12 )
& ( ~ epred6_0
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e11,e10)) = e10
| op1(e11,op1(e12,e11)) = e11 )
& ( ~ epred6_0
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e11,e10)) = e10
| op1(e10,op1(e12,e10)) = e10 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])]) ).
cnf(c_0_71,plain,
( epred6_0
| op1(e10,e10) = e10 ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_72,plain,
( epred6_0
| op1(e10,e10) = e12 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_60]),c_0_61]) ).
cnf(c_0_73,plain,
e10 != e12,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_74,plain,
op1(e10,e10) != op1(e12,e10),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_75,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_76,plain,
op2(e23,e22) != e20,
inference(rw,[status(thm)],[c_0_62,c_0_16]) ).
cnf(c_0_77,plain,
op2(e20,e20) != op2(e21,e20),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_78,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_79,plain,
op2(e21,e22) != e20,
inference(rw,[status(thm)],[c_0_63,c_0_16]) ).
cnf(c_0_80,plain,
( ~ epred5_0
| op2(e23,op2(e20,e23)) = e23
| op2(e20,op2(e21,e20)) = e20
| op2(e22,op2(e22,e22)) = e22 ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_81,plain,
epred5_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
cnf(c_0_82,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_83,plain,
op2(e20,e20) != e21,
inference(rw,[status(thm)],[c_0_68,c_0_26]) ).
cnf(c_0_84,plain,
op1(e10,e10) != op1(e11,e10),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_85,plain,
( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_86,plain,
op1(e11,e12) != e10,
inference(rw,[status(thm)],[c_0_69,c_0_21]) ).
cnf(c_0_87,plain,
( ~ epred6_0
| op1(e13,op1(e10,e13)) = e13
| op1(e10,op1(e11,e10)) = e10
| op1(e12,op1(e12,e12)) = e12 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_88,plain,
epred6_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_89,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_90,plain,
op1(e10,e10) != e11,
inference(rw,[status(thm)],[c_0_74,c_0_31]) ).
cnf(c_0_91,plain,
op2(e22,e20) != op2(e22,e21),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_92,plain,
op2(e21,e20) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_93,plain,
op2(e20,e22) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_94,plain,
( op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(sr,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_95,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_96,plain,
op2(e20,e20) != e23,
inference(rw,[status(thm)],[c_0_77,c_0_36]) ).
cnf(c_0_97,plain,
( ~ epred5_0
| op2(e21,op2(e20,e21)) = e21
| op2(e21,op2(e21,e21)) = e21
| op2(e22,op2(e22,e22)) = e22 ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_98,plain,
op2(e20,e23) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_99,plain,
( op2(e21,e21) = e20
| op2(e21,e23) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_36]),c_0_37]),c_0_79]) ).
cnf(c_0_100,plain,
( ~ epred5_0
| op2(e21,op2(e20,e21)) = e21
| op2(e20,op2(e21,e20)) = e20
| op2(e22,op2(e22,e22)) = e22 ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_101,plain,
( op2(e20,e23) = e20
| op2(e23,op2(e20,e23)) = e23 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_36]),c_0_16]),c_0_26]),c_0_81])]),c_0_41]) ).
cnf(c_0_102,plain,
( op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(sr,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_103,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_104,plain,
op1(e10,e10) != e13,
inference(rw,[status(thm)],[c_0_84,c_0_45]) ).
cnf(c_0_105,plain,
( ~ epred6_0
| op1(e11,op1(e10,e11)) = e11
| op1(e11,op1(e11,e11)) = e11
| op1(e12,op1(e12,e12)) = e12 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_106,plain,
op1(e10,e13) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_107,plain,
( op1(e11,e11) = e10
| op1(e11,e13) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_45]),c_0_46]),c_0_86]) ).
cnf(c_0_108,plain,
( ~ epred6_0
| op1(e11,op1(e10,e11)) = e11
| op1(e10,op1(e11,e10)) = e10
| op1(e12,op1(e12,e12)) = e12 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_109,plain,
( op1(e10,e13) = e10
| op1(e13,op1(e10,e13)) = e13 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_45]),c_0_21]),c_0_31]),c_0_88])]),c_0_50]) ).
cnf(c_0_110,plain,
( op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(sr,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_111,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_112,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_113,plain,
op2(e22,e21) != e21,
inference(rw,[status(thm)],[c_0_91,c_0_26]) ).
cnf(c_0_114,plain,
( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_115,plain,
op2(e21,e22) != e23,
inference(rw,[status(thm)],[c_0_92,c_0_36]) ).
cnf(c_0_116,plain,
op2(e21,e22) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_117,plain,
( op2(e20,e22) != e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21 ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_118,plain,
( op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(sr,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_119,plain,
( op2(e21,op2(e20,e21)) = e21
| op2(e21,op2(e21,e21)) = e21 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_16]),c_0_26]),c_0_81])]),c_0_41]) ).
cnf(c_0_120,plain,
( op2(e20,e23) != e20
| op2(e21,e21) = e20 ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_121,plain,
e21 != e23,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_122,plain,
( op2(e20,e23) = e20
| op2(e21,op2(e20,e21)) = e21 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_36]),c_0_16]),c_0_26]),c_0_81])]),c_0_41]) ).
cnf(c_0_123,plain,
op2(e22,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_124,plain,
( op2(e23,e21) = e23
| op2(e20,e22) = e21
| op2(e20,e21) = e21 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_38]) ).
cnf(c_0_125,plain,
( op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(sr,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_126,plain,
( op1(e11,op1(e10,e11)) = e11
| op1(e11,op1(e11,e11)) = e11 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_21]),c_0_31]),c_0_88])]),c_0_50]) ).
cnf(c_0_127,plain,
( op1(e10,e13) != e10
| op1(e11,e11) = e10 ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_128,plain,
e11 != e13,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_129,plain,
( op1(e10,e13) = e10
| op1(e11,op1(e10,e11)) = e11 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_45]),c_0_21]),c_0_31]),c_0_88])]),c_0_50]) ).
cnf(c_0_130,plain,
op1(e12,e11) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_131,plain,
( op1(e13,e11) = e13
| op1(e10,e12) = e11
| op1(e10,e11) = e11 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_47]) ).
cnf(c_0_132,plain,
op2(e22,e21) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_133,plain,
( op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_36]),c_0_40]) ).
cnf(c_0_134,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e23,e21) = e21 ),
inference(sr,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_135,plain,
op2(e20,e22) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_136,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_114,c_0_79]),c_0_115]) ).
cnf(c_0_137,plain,
( op2(e20,e22) != e23
| op2(e21,e22) != e21
| op2(e23,e22) = e22 ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_138,plain,
op2(e20,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_139,plain,
( op2(e23,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_118]),c_0_37]) ).
cnf(c_0_140,plain,
op2(e21,op2(e20,e21)) = e21,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_36]),c_0_121]),c_0_122]) ).
cnf(c_0_141,plain,
( op2(e22,e21) != e23
| op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_142,plain,
op2(e22,e22) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_143,plain,
op1(e12,e12) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_144,plain,
op1(e10,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_145,plain,
( op1(e13,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_125]),c_0_46]) ).
cnf(c_0_146,plain,
op1(e11,op1(e10,e11)) = e11,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_45]),c_0_128]),c_0_129]) ).
cnf(c_0_147,plain,
( op1(e12,e11) != e13
| op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_148,plain,
op1(e12,e12) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_149,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_150,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_151,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_152,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_153,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_154,plain,
( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_155,plain,
op2(e22,e21) != e20,
inference(rw,[status(thm)],[c_0_132,c_0_16]) ).
cnf(c_0_156,plain,
op2(e22,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_157,plain,
op2(e21,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_158,plain,
( op2(e21,e21) = e20
| op2(e21,e22) = e22
| op2(e21,e21) = e22 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_133]),c_0_67]) ).
cnf(c_0_159,plain,
( op2(e21,e21) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_124]),c_0_121]) ).
cnf(c_0_160,plain,
( op2(e20,e22) != e21
| op2(e21,e22) = e22 ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_161,plain,
( op2(e20,e22) != e23
| op2(e21,e22) != e21
| op2(e20,e22) != e22 ),
inference(spm,[status(thm)],[c_0_93,c_0_137]) ).
cnf(c_0_162,plain,
( ~ epred5_0
| op2(e22,op2(e20,e22)) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e22,op2(e22,e22)) = e22 ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_163,plain,
( ~ epred5_0
| op2(e22,op2(e20,e22)) = e22
| op2(e20,op2(e21,e20)) = e20
| op2(e22,op2(e22,e22)) = e22 ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_164,plain,
op2(e20,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_165,plain,
op2(e20,e21) != op2(e22,e21),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_166,plain,
( op2(e20,e21) = e23
| op2(e20,e22) = e23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_118]) ).
cnf(c_0_167,plain,
op2(e20,e21) != op2(e21,e21),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_168,plain,
( op2(e22,e21) != e23
| op2(e21,e21) = e21
| op2(e20,e22) = e21 ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_169,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_170,plain,
op2(e22,e23) != e20,
inference(rw,[status(thm)],[c_0_142,c_0_16]) ).
cnf(c_0_171,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_172,plain,
op1(e13,e12) != e10,
inference(rw,[status(thm)],[c_0_143,c_0_21]) ).
cnf(c_0_173,plain,
( ~ epred6_0
| op1(e12,op1(e10,e12)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e12,op1(e12,e12)) = e12 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_174,plain,
( ~ epred6_0
| op1(e12,op1(e10,e12)) = e12
| op1(e10,op1(e11,e10)) = e10
| op1(e12,op1(e12,e12)) = e12 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_175,plain,
op1(e10,e11) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_176,plain,
op1(e10,e11) != op1(e12,e11),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_177,plain,
( op1(e10,e11) = e13
| op1(e10,e12) = e13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_125]) ).
cnf(c_0_178,plain,
op1(e10,e11) != op1(e11,e11),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_179,plain,
( op1(e12,e11) != e13
| op1(e11,e11) = e11
| op1(e10,e12) = e11 ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
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(e12,e13) != e10,
inference(rw,[status(thm)],[c_0_148,c_0_21]) ).
cnf(c_0_182,plain,
op1(e12,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_183,plain,
op1(e11,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_184,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_149,c_0_150]),c_0_151]),c_0_152]),c_0_153]) ).
cnf(c_0_185,plain,
op2(e21,e20) != op2(e21,e21),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_186,plain,
op2(e23,e20) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_187,plain,
( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e23,e21) = e20 ),
inference(sr,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_188,plain,
( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_189,plain,
op2(e23,e20) != e21,
inference(rw,[status(thm)],[c_0_156,c_0_26]) ).
cnf(c_0_190,plain,
op2(e23,e20) != e23,
inference(rw,[status(thm)],[c_0_157,c_0_36]) ).
cnf(c_0_191,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_192,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_193,plain,
( op2(e21,e22) = e22
| op2(e20,e21) = e21 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_41]),c_0_38]),c_0_160]) ).
cnf(c_0_194,plain,
( op2(e20,e22) != e23
| op2(e20,e22) != e22
| op2(e21,e22) = e22 ),
inference(spm,[status(thm)],[c_0_161,c_0_136]) ).
cnf(c_0_195,plain,
( op2(e21,op2(e21,e21)) = e21
| op2(e22,op2(e20,e22)) = e22 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_16]),c_0_26]),c_0_81])]),c_0_41]) ).
cnf(c_0_196,plain,
( op2(e20,e23) = e20
| op2(e22,op2(e20,e22)) = e22 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_36]),c_0_16]),c_0_26]),c_0_81])]),c_0_41]) ).
cnf(c_0_197,plain,
( op2(e20,e21) != e23
| op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(spm,[status(thm)],[c_0_164,c_0_124]) ).
cnf(c_0_198,plain,
( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_199,plain,
( op2(e22,e21) != e23
| op2(e20,e22) = e23 ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_200,plain,
( op2(e22,e21) != e23
| op2(e20,e22) = e21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_141]) ).
cnf(c_0_201,plain,
op2(e23,e20) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_202,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e23,e23) = e20 ),
inference(sr,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_203,plain,
op1(e10,e12) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_204,plain,
( op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(sr,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_205,plain,
op1(e11,e10) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_206,plain,
( op1(e11,op1(e11,e11)) = e11
| op1(e12,op1(e10,e12)) = e12 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_21]),c_0_31]),c_0_88])]),c_0_50]) ).
cnf(c_0_207,plain,
( op1(e10,e13) = e10
| op1(e12,op1(e10,e12)) = e12 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_45]),c_0_21]),c_0_31]),c_0_88])]),c_0_50]) ).
cnf(c_0_208,plain,
( op1(e10,e11) != e13
| op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference(spm,[status(thm)],[c_0_175,c_0_131]) ).
cnf(c_0_209,plain,
( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_210,plain,
( op1(e12,e11) != e13
| op1(e10,e12) = e13 ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_211,plain,
( op1(e12,e11) != e13
| op1(e10,e12) = e11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_147]) ).
cnf(c_0_212,plain,
op1(e13,e10) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_213,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e13,e13) = e10 ),
inference(sr,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_214,plain,
( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_215,plain,
op1(e13,e10) != e11,
inference(rw,[status(thm)],[c_0_182,c_0_31]) ).
cnf(c_0_216,plain,
op1(e13,e10) != e13,
inference(rw,[status(thm)],[c_0_183,c_0_45]) ).
fof(c_0_217,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_184])])]) ).
cnf(c_0_218,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_219,plain,
op2(e21,e21) != e23,
inference(rw,[status(thm)],[c_0_185,c_0_36]) ).
cnf(c_0_220,plain,
( op2(e23,e20) != e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_221,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_188,c_0_189]),c_0_190]) ).
cnf(c_0_222,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e23,e22) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_16]),c_0_67]) ).
cnf(c_0_223,plain,
( op2(e20,e22) = e23
| op2(e23,e22) = e23 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_16]),c_0_115]),c_0_37]) ).
cnf(c_0_224,plain,
( op2(e20,e22) != e22
| op2(e20,e21) = e21 ),
inference(spm,[status(thm)],[c_0_135,c_0_193]) ).
cnf(c_0_225,plain,
( op2(e20,e22) != e23
| op2(e20,e22) != e22 ),
inference(spm,[status(thm)],[c_0_135,c_0_194]) ).
cnf(c_0_226,plain,
op2(e22,op2(e20,e22)) = e22,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_120]),c_0_36]),c_0_121]),c_0_196]) ).
cnf(c_0_227,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_166]),c_0_121]) ).
cnf(c_0_228,plain,
( op2(e22,e21) = e23
| op2(e22,e23) = e23 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_26]),c_0_16]),c_0_121]),c_0_37]) ).
cnf(c_0_229,plain,
op2(e22,e21) != e23,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_121]) ).
cnf(c_0_230,plain,
( op2(e23,e20) != e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_231,plain,
op1(e11,e12) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_232,plain,
( op1(e10,e12) != e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11 ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_233,plain,
op1(e11,e12) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_234,plain,
( op1(e11,e13) = e11
| op1(e10,e12) = e13 ),
inference(spm,[status(thm)],[c_0_146,c_0_177]) ).
cnf(c_0_235,plain,
( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_236,plain,
op1(e11,e12) != e13,
inference(rw,[status(thm)],[c_0_205,c_0_45]) ).
cnf(c_0_237,plain,
op1(e12,op1(e10,e12)) = e12,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_127]),c_0_45]),c_0_128]),c_0_207]) ).
cnf(c_0_238,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_177]),c_0_128]) ).
cnf(c_0_239,plain,
( op1(e12,e11) = e13
| op1(e12,e13) = e13 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_31]),c_0_21]),c_0_128]),c_0_46]) ).
cnf(c_0_240,plain,
op1(e12,e11) != e13,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_128]) ).
cnf(c_0_241,plain,
( op1(e13,e10) != e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_242,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_214,c_0_215]),c_0_216]) ).
cnf(c_0_243,negated_conjecture,
( ~ epred2_0
| h2(e11) != e23 ),
inference(split_conjunct,[status(thm)],[c_0_217]) ).
cnf(c_0_244,plain,
h2(e11) = op2(e21,op2(e21,e21)),
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_245,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22 ),
inference(sr,[status(thm)],[c_0_218,c_0_219]) ).
cnf(c_0_246,plain,
op2(e23,e20) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_247,plain,
op2(e20,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_248,plain,
( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e23,e20) = e22 ),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_249,plain,
( op2(e21,e22) = e22
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_40]) ).
cnf(c_0_250,plain,
op2(e20,e22) != e22,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_224]),c_0_121]),c_0_225]) ).
cnf(c_0_251,plain,
( op2(e22,e23) = e22
| op2(e20,e22) = e21 ),
inference(spm,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_252,plain,
op2(e22,e23) = e23,
inference(sr,[status(thm)],[c_0_228,c_0_229]) ).
cnf(c_0_253,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e23,e20) = e22 ),
inference(spm,[status(thm)],[c_0_230,c_0_221]) ).
cnf(c_0_254,plain,
( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_255,plain,
( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_256,plain,
( op1(e10,e12) != e13
| op1(e11,e12) != e11
| op1(e13,e12) = e12 ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_257,plain,
( op1(e11,e12) != e11
| op1(e10,e12) = e13 ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_258,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_235,c_0_86]),c_0_236]) ).
cnf(c_0_259,plain,
( op1(e12,e13) = e12
| op1(e10,e12) = e11 ),
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_260,plain,
op1(e12,e13) = e13,
inference(sr,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_261,plain,
op1(e10,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_262,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e13,e10) = e12 ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_263,negated_conjecture,
( ~ epred2_0
| op2(e21,op2(e21,e21)) != e23 ),
inference(rw,[status(thm)],[c_0_243,c_0_244]) ).
cnf(c_0_264,plain,
( op2(e20,e21) != e21
| op2(e21,e21) = e22
| op2(e21,e21) = e20 ),
inference(spm,[status(thm)],[c_0_167,c_0_245]) ).
cnf(c_0_265,plain,
( op2(e23,e22) != e22
| op2(e20,e20) = e22 ),
inference(spm,[status(thm)],[c_0_246,c_0_55]) ).
cnf(c_0_266,plain,
( op2(e20,e20) != e22
| op2(e21,e21) = e20
| op2(e20,e21) = e20 ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_267,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_268,plain,
( op2(e20,e22) = e23
| op2(e21,e22) = e22 ),
inference(sr,[status(thm)],[c_0_249,c_0_250]) ).
cnf(c_0_269,plain,
op2(e20,e22) = e21,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_252]),c_0_40]) ).
cnf(c_0_270,plain,
op2(e22,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_271,plain,
( op2(e20,e20) != e22
| op2(e21,e23) = e20
| op2(e20,e23) = e20 ),
inference(spm,[status(thm)],[c_0_247,c_0_253]) ).
cnf(c_0_272,plain,
( op2(e21,e23) = e21
| op2(e20,e22) = e23 ),
inference(spm,[status(thm)],[c_0_140,c_0_166]) ).
cnf(c_0_273,plain,
op2(e21,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_274,plain,
( op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 ),
inference(sr,[status(thm)],[c_0_254,c_0_189]) ).
cnf(c_0_275,plain,
op1(e11,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_276,plain,
( op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 ),
inference(sr,[status(thm)],[c_0_255,c_0_215]) ).
cnf(c_0_277,plain,
( op1(e10,e12) != e13
| op1(e11,e12) != e11
| op1(e10,e12) != e12 ),
inference(spm,[status(thm)],[c_0_203,c_0_256]) ).
cnf(c_0_278,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_279,plain,
( ~ epred6_0
| op1(e13,op1(e10,e13)) = e13
| op1(e12,op1(e11,e12)) = e12
| op1(e12,op1(e12,e12)) = e12 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_280,plain,
( op1(e10,e12) = e13
| op1(e11,e12) = e12 ),
inference(spm,[status(thm)],[c_0_257,c_0_258]) ).
cnf(c_0_281,plain,
op1(e10,e12) = e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_259,c_0_260]),c_0_49]) ).
cnf(c_0_282,plain,
( op1(e10,e10) != e12
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(spm,[status(thm)],[c_0_261,c_0_262]) ).
cnf(c_0_283,plain,
op2(e21,e21) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_284,negated_conjecture,
( ~ epred2_0
| op2(e20,e21) != e21
| op2(e21,e21) = e22 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_36])]) ).
cnf(c_0_285,plain,
( op2(e20,e20) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(spm,[status(thm)],[c_0_265,c_0_222]) ).
cnf(c_0_286,negated_conjecture,
( ~ epred2_0
| op2(e20,e20) != e22
| op2(e20,e21) = e20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_266]),c_0_36])]) ).
cnf(c_0_287,negated_conjecture,
( ~ epred2_0
| op2(e20,e23) != e20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_120]),c_0_36])]) ).
cnf(c_0_288,plain,
( op2(e22,e21) = e22
| op2(e22,e23) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_267,c_0_26]),c_0_16]),c_0_41]),c_0_67]) ).
cnf(c_0_289,plain,
( ~ epred5_0
| op2(e23,op2(e20,e23)) = e23
| op2(e22,op2(e21,e22)) = e22
| op2(e23,op2(e22,e23)) = e23 ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_290,plain,
op2(e21,e22) = e22,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_268,c_0_269]),c_0_121]) ).
cnf(c_0_291,plain,
op2(e23,e23) != e23,
inference(rw,[status(thm)],[c_0_270,c_0_252]) ).
cnf(c_0_292,plain,
( op2(e20,e20) != e22
| op2(e20,e23) = e20
| op2(e20,e22) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_38]) ).
cnf(c_0_293,plain,
( op2(e21,e23) != e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21 ),
inference(spm,[status(thm)],[c_0_273,c_0_274]) ).
cnf(c_0_294,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_295,plain,
( op1(e11,e13) != e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11 ),
inference(spm,[status(thm)],[c_0_275,c_0_276]) ).
cnf(c_0_296,plain,
op1(e10,e12) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_297,plain,
( op1(e10,e12) != e13
| op1(e10,e12) != e12
| op1(e11,e12) = e12 ),
inference(spm,[status(thm)],[c_0_277,c_0_258]) ).
cnf(c_0_298,plain,
( op1(e12,e11) = e12
| op1(e12,e13) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_278,c_0_31]),c_0_21]),c_0_50]),c_0_73]) ).
cnf(c_0_299,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_300,plain,
( op1(e12,op1(e11,e12)) = e12
| op1(e13,op1(e10,e13)) = e13 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_279,c_0_21]),c_0_31]),c_0_88])]),c_0_50]) ).
cnf(c_0_301,plain,
op1(e11,e12) = e12,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_280,c_0_281]),c_0_128]) ).
cnf(c_0_302,plain,
( op1(e10,e10) != e12
| op1(e10,e13) = e10
| op1(e10,e12) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_234]),c_0_47]) ).
cnf(c_0_303,negated_conjecture,
( ~ epred2_0
| op2(e20,e21) != e21
| op2(e21,e22) != e22 ),
inference(spm,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_304,plain,
( op2(e21,e22) = e22
| op2(e20,e20) = e22 ),
inference(sr,[status(thm)],[c_0_285,c_0_250]) ).
cnf(c_0_305,negated_conjecture,
( ~ epred2_0
| op2(e20,e20) != e22 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_286]),c_0_36]),c_0_121]),c_0_287]) ).
cnf(c_0_306,plain,
( op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_228]),c_0_40]) ).
cnf(c_0_307,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_308,plain,
op2(e23,op2(e20,e23)) = e23,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_289,c_0_290]),c_0_16]),c_0_252]),c_0_81])]),c_0_67]),c_0_291]) ).
cnf(c_0_309,plain,
( op2(e20,e20) != e22
| op2(e20,e23) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_292,c_0_269]),c_0_121]) ).
cnf(c_0_310,plain,
( op2(e21,e23) != e21
| op2(e20,e21) != e21
| op2(e23,e22) = e21 ),
inference(spm,[status(thm)],[c_0_164,c_0_293]) ).
cnf(c_0_311,plain,
( op1(e10,e12) = e13
| op1(e13,e12) = e13 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_294,c_0_21]),c_0_236]),c_0_46]) ).
cnf(c_0_312,plain,
( op1(e11,e13) != e11
| op1(e10,e11) != e11
| op1(e13,e12) = e11 ),
inference(spm,[status(thm)],[c_0_175,c_0_295]) ).
cnf(c_0_313,plain,
( op1(e10,e12) != e13
| op1(e10,e12) != e12 ),
inference(spm,[status(thm)],[c_0_296,c_0_297]) ).
cnf(c_0_314,plain,
( op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_239]),c_0_49]) ).
cnf(c_0_315,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(sr,[status(thm)],[c_0_299,c_0_90]) ).
cnf(c_0_316,plain,
op1(e13,op1(e10,e13)) = e13,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_300,c_0_301]),c_0_21]),c_0_73]) ).
cnf(c_0_317,plain,
( op1(e10,e10) != e12
| op1(e10,e13) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_302,c_0_281]),c_0_128]) ).
cnf(c_0_318,negated_conjecture,
( ~ epred2_0
| op2(e20,e21) != e21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_305]) ).
cnf(c_0_319,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_320,plain,
op2(e22,e21) = e22,
inference(sr,[status(thm)],[c_0_306,c_0_229]) ).
cnf(c_0_321,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_307,c_0_83]),c_0_96]) ).
cnf(c_0_322,plain,
op2(e20,e20) != e22,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_309]),c_0_190]) ).
cnf(c_0_323,plain,
( op2(e21,e23) != e21
| op2(e20,e21) != e21
| op2(e20,e22) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_310]),c_0_121]) ).
cnf(c_0_324,plain,
op1(e12,e10) != op1(e12,e11),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_325,plain,
( op1(e11,e13) != e11
| op1(e10,e11) != e11
| op1(e10,e12) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_128]) ).
cnf(c_0_326,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_327,plain,
op1(e10,e12) != e12,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_280]),c_0_313]) ).
cnf(c_0_328,plain,
op1(e12,e11) = e12,
inference(sr,[status(thm)],[c_0_314,c_0_240]) ).
cnf(c_0_329,plain,
( op1(e10,e10) = e12
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[c_0_315,c_0_104]) ).
cnf(c_0_330,plain,
op1(e10,e10) != e12,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_216]) ).
cnf(c_0_331,plain,
( op2(e21,e21) = e20
| op2(e20,e22) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_272]),c_0_38]) ).
cnf(c_0_332,plain,
( ~ epred2_0
| op2(e22,e21) != e23
| op2(e20,e22) = e21 ),
inference(spm,[status(thm)],[c_0_318,c_0_141]) ).
fof(c_0_333,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_151]) ).
cnf(c_0_334,plain,
h2(e13) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_335,plain,
( op2(e20,e23) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
inference(sr,[status(thm)],[c_0_319,c_0_250]) ).
cnf(c_0_336,plain,
op2(e20,e21) != e22,
inference(rw,[status(thm)],[c_0_165,c_0_320]) ).
cnf(c_0_337,plain,
op2(e20,e20) = e20,
inference(sr,[status(thm)],[c_0_321,c_0_322]) ).
cnf(c_0_338,plain,
( op2(e20,e21) != e21
| op2(e20,e22) = e23 ),
inference(spm,[status(thm)],[c_0_323,c_0_272]) ).
cnf(c_0_339,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_340,plain,
op1(e12,e11) != e11,
inference(rw,[status(thm)],[c_0_324,c_0_31]) ).
cnf(c_0_341,plain,
( op1(e10,e11) != e11
| op1(e10,e12) = e13 ),
inference(spm,[status(thm)],[c_0_325,c_0_234]) ).
cnf(c_0_342,plain,
( op1(e11,e11) = e10
| op1(e10,e12) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_234]),c_0_47]) ).
cnf(c_0_343,plain,
( op1(e10,e13) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(sr,[status(thm)],[c_0_326,c_0_327]) ).
cnf(c_0_344,plain,
op1(e10,e11) != e12,
inference(rw,[status(thm)],[c_0_176,c_0_328]) ).
cnf(c_0_345,plain,
op1(e10,e10) = e10,
inference(sr,[status(thm)],[c_0_329,c_0_330]) ).
cnf(c_0_346,negated_conjecture,
( ~ epred2_0
| op2(e20,e22) = e23 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_331]),c_0_36])]) ).
cnf(c_0_347,plain,
( ~ epred2_0
| op2(e22,e21) != e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_332]),c_0_121]) ).
fof(c_0_348,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_333])])]) ).
cnf(c_0_349,plain,
( op2(e20,e22) = e23
| h2(e13) = op2(e23,e20) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_331]),c_0_36]) ).
cnf(c_0_350,plain,
op2(e21,e23) = e21,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_272,c_0_269]),c_0_121]) ).
cnf(c_0_351,plain,
op2(e20,e23) = e22,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_335,c_0_336]),c_0_337]),c_0_67]) ).
cnf(c_0_352,plain,
op2(e20,e21) != e21,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_338,c_0_269]),c_0_121]) ).
cnf(c_0_353,plain,
op2(e21,e21) = e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_331,c_0_269]),c_0_121]) ).
cnf(c_0_354,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e13,e11) = e11 ),
inference(sr,[status(thm)],[c_0_339,c_0_340]) ).
cnf(c_0_355,plain,
op1(e10,e11) != e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_341,c_0_281]),c_0_128]) ).
cnf(c_0_356,plain,
op1(e11,e11) = e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_342,c_0_281]),c_0_128]) ).
cnf(c_0_357,plain,
op1(e11,e13) = e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_281]),c_0_128]) ).
cnf(c_0_358,plain,
op1(e10,e13) = e12,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_343,c_0_344]),c_0_345]),c_0_73]) ).
cnf(c_0_359,plain,
op2(e22,e21) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_360,plain,
( ~ epred2_0
| op2(e22,e23) = e22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_346]),c_0_287]) ).
cnf(c_0_361,plain,
( ~ epred2_0
| op2(e22,e21) = e22 ),
inference(spm,[status(thm)],[c_0_347,c_0_306]) ).
cnf(c_0_362,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(e10) != e20
| h2(e12) != e21
| h2(e13) != e22
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_348]) ).
cnf(c_0_363,plain,
h2(e10) = op2(e21,e21),
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_364,plain,
h2(e12) = e21,
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_365,plain,
h2(e13) = op2(e23,e20),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_349,c_0_269]),c_0_121]) ).
cnf(c_0_366,plain,
op2(e23,e20) = e22,
inference(sr,[status(thm)],[c_0_55,c_0_322]) ).
cnf(c_0_367,plain,
op1(e10,e11) = e13,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_281]),c_0_128]) ).
cnf(c_0_368,plain,
op2(e20,e21) = e23,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_269]),c_0_121]) ).
cnf(c_0_369,plain,
op2(e23,e23) = e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_350]),c_0_38]),c_0_351]),c_0_67]) ).
cnf(c_0_370,plain,
op2(e23,e21) = e21,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_134,c_0_352]),c_0_353]),c_0_38]) ).
cnf(c_0_371,plain,
op2(e23,e22) = e23,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_269]),c_0_121]) ).
cnf(c_0_372,plain,
op1(e13,e10) = e12,
inference(sr,[status(thm)],[c_0_60,c_0_330]) ).
cnf(c_0_373,plain,
op1(e13,e11) = e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_354,c_0_355]),c_0_356]),c_0_47]) ).
cnf(c_0_374,plain,
op1(e13,e12) = e13,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_311,c_0_281]),c_0_128]) ).
cnf(c_0_375,plain,
op1(e13,e13) = e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_357]),c_0_47]),c_0_358]),c_0_73]) ).
cnf(c_0_376,plain,
~ epred2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_360]),c_0_361]) ).
cnf(c_0_377,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_362,c_0_363]),c_0_353]),c_0_364]),c_0_365]),c_0_366]),c_0_345]),c_0_363]),c_0_353]),c_0_363]),c_0_353]),c_0_363]),c_0_353]),c_0_337]),c_0_367]),c_0_365]),c_0_366]),c_0_363]),c_0_353]),c_0_244]),c_0_353]),c_0_36]),c_0_351]),c_0_281]),c_0_244]),c_0_353]),c_0_36]),c_0_363]),c_0_353]),c_0_364]),c_0_368]),c_0_358]),c_0_364]),c_0_363]),c_0_353]),c_0_365]),c_0_366]),c_0_269]),c_0_45]),c_0_365]),c_0_366]),c_0_244]),c_0_353]),c_0_36]),c_0_363]),c_0_353]),c_0_366]),c_0_356]),c_0_363]),c_0_353]),c_0_244]),c_0_353]),c_0_36]),c_0_244]),c_0_353]),c_0_36]),c_0_369]),c_0_301]),c_0_364]),c_0_244]),c_0_353]),c_0_36]),c_0_364]),c_0_370]),c_0_357]),c_0_244]),c_0_353]),c_0_36]),c_0_244]),c_0_353]),c_0_36]),c_0_365]),c_0_366]),c_0_371]),c_0_31]),c_0_244]),c_0_353]),c_0_36]),c_0_364]),c_0_363]),c_0_353]),c_0_36]),c_0_328]),c_0_364]),c_0_364]),c_0_244]),c_0_353]),c_0_36]),c_0_350]),c_0_21]),c_0_363]),c_0_353]),c_0_364]),c_0_364]),c_0_353]),c_0_260]),c_0_365]),c_0_366]),c_0_364]),c_0_365]),c_0_366]),c_0_290]),c_0_372]),c_0_364]),c_0_365]),c_0_366]),c_0_363]),c_0_353]),c_0_26]),c_0_373]),c_0_244]),c_0_353]),c_0_36]),c_0_365]),c_0_366]),c_0_244]),c_0_353]),c_0_36]),c_0_252]),c_0_374]),c_0_365]),c_0_366]),c_0_365]),c_0_366]),c_0_364]),c_0_320]),c_0_375]),c_0_363]),c_0_353]),c_0_365]),c_0_366]),c_0_365]),c_0_366]),c_0_16])]),c_0_376]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG107+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n006.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 12:56:57 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 1.19/0.62 % Version: 3.5.1
% 1.19/0.62 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.19/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.19/0.62 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.19/0.62 % Starting new_bool_3 with 300s (1) cores
% 1.19/0.62 % Starting new_bool_1 with 300s (1) cores
% 1.19/0.62 % Starting sh5l with 300s (1) cores
% 1.19/0.62 % new_bool_3 with pid 2890400 completed with status 0
% 1.19/0.62 % Result found by new_bool_3
% 1.19/0.62 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.19/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.19/0.62 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.19/0.62 % Starting new_bool_3 with 300s (1) cores
% 1.19/0.62 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.19/0.62 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.19/0.62 % Search class: FGHSF-FMLM21-MFFFFFNN
% 1.19/0.62 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.19/0.62 % Starting SubtermCWHack with 31s (1) cores
% 1.19/0.62 % SubtermCWHack with pid 2890403 completed with status 0
% 1.19/0.62 % Result found by SubtermCWHack
% 1.19/0.62 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.19/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.19/0.62 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.19/0.62 % Starting new_bool_3 with 300s (1) cores
% 1.19/0.62 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.19/0.62 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.19/0.62 % Search class: FGHSF-FMLM21-MFFFFFNN
% 1.19/0.62 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.19/0.62 % Starting SubtermCWHack with 31s (1) cores
% 1.19/0.62 % Preprocessing time : 0.013 s
% 1.19/0.62
% 1.19/0.62 % Proof found!
% 1.19/0.62 % SZS status Theorem
% 1.19/0.62 % SZS output start CNFRefutation
% See solution above
% 1.19/0.62 % Parsed axioms : 18
% 1.19/0.62 % Removed by relevancy pruning/SinE : 0
% 1.19/0.62 % Initial clauses : 650
% 1.19/0.62 % Removed in clause preprocessing : 0
% 1.19/0.62 % Initial clauses in saturation : 650
% 1.19/0.62 % Processed clauses : 2714
% 1.19/0.62 % ...of these trivial : 170
% 1.19/0.62 % ...subsumed : 1635
% 1.19/0.62 % ...remaining for further processing : 908
% 1.19/0.62 % Other redundant clauses eliminated : 0
% 1.19/0.62 % Clauses deleted for lack of memory : 0
% 1.19/0.62 % Backward-subsumed : 301
% 1.19/0.62 % Backward-rewritten : 467
% 1.19/0.62 % Generated clauses : 7480
% 1.19/0.62 % ...of the previous two non-redundant : 7162
% 1.19/0.62 % ...aggressively subsumed : 0
% 1.19/0.62 % Contextual simplify-reflections : 30
% 1.19/0.62 % Paramodulations : 7350
% 1.19/0.62 % Factorizations : 71
% 1.19/0.62 % NegExts : 0
% 1.19/0.62 % Equation resolutions : 0
% 1.19/0.62 % Disequality decompositions : 0
% 1.19/0.62 % Total rewrite steps : 11083
% 1.19/0.62 % ...of those cached : 11028
% 1.19/0.62 % Propositional unsat checks : 0
% 1.19/0.62 % Propositional check models : 0
% 1.19/0.62 % Propositional check unsatisfiable : 0
% 1.19/0.62 % Propositional clauses : 0
% 1.19/0.62 % Propositional clauses after purity: 0
% 1.19/0.62 % Propositional unsat core size : 0
% 1.19/0.62 % Propositional preprocessing time : 0.000
% 1.19/0.62 % Propositional encoding time : 0.000
% 1.19/0.62 % Propositional solver time : 0.000
% 1.19/0.62 % Success case prop preproc time : 0.000
% 1.19/0.62 % Success case prop encoding time : 0.000
% 1.19/0.62 % Success case prop solver time : 0.000
% 1.19/0.62 % Current number of processed clauses : 81
% 1.19/0.62 % Positive orientable unit clauses : 50
% 1.19/0.62 % Positive unorientable unit clauses: 0
% 1.19/0.62 % Negative unit clauses : 31
% 1.19/0.62 % Non-unit-clauses : 0
% 1.19/0.62 % Current number of unprocessed clauses: 178
% 1.19/0.62 % ...number of literals in the above : 3560
% 1.19/0.62 % Current number of archived formulas : 0
% 1.19/0.62 % Current number of archived clauses : 827
% 1.19/0.62 % Clause-clause subsumption calls (NU) : 29437
% 1.19/0.62 % Rec. Clause-clause subsumption calls : 13907
% 1.19/0.62 % Non-unit clause-clause subsumptions : 510
% 1.19/0.62 % Unit Clause-clause subsumption calls : 4055
% 1.19/0.62 % Rewrite failures with RHS unbound : 0
% 1.19/0.62 % BW rewrite match attempts : 47
% 1.19/0.62 % BW rewrite match successes : 47
% 1.19/0.62 % Condensation attempts : 0
% 1.19/0.62 % Condensation successes : 0
% 1.19/0.62 % Termbank termtop insertions : 186561
% 1.19/0.62 % Search garbage collected termcells : 2938
% 1.19/0.62
% 1.19/0.62 % -------------------------------------------------
% 1.19/0.62 % User time : 0.166 s
% 1.19/0.62 % System time : 0.017 s
% 1.19/0.62 % Total time : 0.183 s
% 1.19/0.62 % Maximum resident set size: 4816 pages
% 1.19/0.62
% 1.19/0.62 % -------------------------------------------------
% 1.19/0.62 % User time : 0.172 s
% 1.19/0.62 % System time : 0.022 s
% 1.19/0.62 % Total time : 0.194 s
% 1.19/0.62 % Maximum resident set size: 4864 pages
% 1.19/0.62 % E exiting
%------------------------------------------------------------------------------