%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG126+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 : n014.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 11:52:31 AM UTC 2026
% Result : Theorem 0.67s 0.84s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 34
% Syntax : Number of formulae : 548 ( 178 unt; 0 def)
% Number of atoms : 8922 (7410 equ)
% Maximal formula atoms : 1280 ( 16 avg)
% Number of connectives : 13775 (5401 ~;5848 |;2489 &)
% ( 20 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 99 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(ax12,axiom,
( e13 = op1(op1(e11,e11),op1(e11,e11))
& e12 = op1(op1(op1(e11,e11),op1(e11,e11)),op1(e11,e11))
& e10 = op1(e11,e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(ax10,axiom,
( ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) )
& ( ( ( op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& op1(e13,op1(e13,e13)) = e13
& op1(e13,op1(e13,e12)) = e12
& op1(e13,op1(e13,e11)) = e11
& op1(e13,op1(e13,e10)) = e10 )
| ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 )
& op1(e12,op1(e12,e13)) = e13
& op1(e12,op1(e12,e12)) = e12
& op1(e12,op1(e12,e11)) = e11
& op1(e12,op1(e12,e10)) = e10 )
| ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& op1(e11,op1(e11,e13)) = e13
& op1(e11,op1(e11,e12)) = e12
& op1(e11,op1(e11,e11)) = e11
& op1(e11,op1(e11,e10)) = e10 )
| ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& op1(e10,op1(e10,e13)) = e13
& op1(e10,op1(e10,e12)) = e12
& op1(e10,op1(e10,e11)) = e11
& op1(e10,op1(e10,e10)) = e10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(ax7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(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(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(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(ax11,axiom,
( ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) )
& ( ( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& op2(e23,op2(e23,e23)) = e23
& op2(e23,op2(e23,e22)) = e22
& op2(e23,op2(e23,e21)) = e21
& op2(e23,op2(e23,e20)) = e20 )
| ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 )
& op2(e22,op2(e22,e23)) = e23
& op2(e22,op2(e22,e22)) = e22
& op2(e22,op2(e22,e21)) = e21
& op2(e22,op2(e22,e20)) = e20 )
| ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& op2(e21,op2(e21,e23)) = e23
& op2(e21,op2(e21,e22)) = e22
& op2(e21,op2(e21,e21)) = e21
& op2(e21,op2(e21,e20)) = e20 )
| ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& op2(e20,op2(e20,e23)) = e23
& op2(e20,op2(e20,e22)) = e22
& op2(e20,op2(e20,e21)) = e21
& op2(e20,op2(e20,e20)) = e20 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(ax13,axiom,
( e23 = op2(op2(e21,e21),op2(e21,e21))
& e22 = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& e20 = op2(e21,e21) ),
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(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(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(co1,conjecture,
( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax15,axiom,
( h2(e13) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e10) = op2(e21,e21)
& h2(e11) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(c_0_14,plain,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
inference(fof_simplification,[status(thm)],[ax5]) ).
fof(c_0_15,plain,
( epred1_0
<=> ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& op1(e11,op1(e11,e13)) = e13
& op1(e11,op1(e11,e12)) = e12
& op1(e11,op1(e11,e11)) = e11
& op1(e11,op1(e11,e10)) = e10 )
| ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& op1(e10,op1(e10,e13)) = e13
& op1(e10,op1(e10,e12)) = e12
& op1(e10,op1(e10,e11)) = e11
& op1(e10,op1(e10,e10)) = e10 ) ) ),
introduced(definition) ).
fof(c_0_16,plain,
( epred8_0
<=> ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& op1(e12,e12) != e12
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e12) = e12 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& op1(e12,e12) != e12
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e11) = e11 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& op1(e12,e12) != e12
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition) ).
fof(c_0_17,plain,
( epred7_0
<=> ( ( op1(e13,e13) != e13
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& op1(e12,e12) != e12
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e12) = e12 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& op1(e12,e12) != e12
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e11) = e11 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& op1(e12,e12) != e12
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition) ).
fof(c_0_18,plain,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
inference(fof_nnf,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
e13 = op1(op1(e11,e11),op1(e11,e11)),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_20,plain,
e10 = op1(e11,e11),
inference(split_conjunct,[status(thm)],[ax12]) ).
fof(c_0_21,plain,
( ( ( op1(e13,e13) != e13
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e13) = e13 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& op1(e12,e12) != e12
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| epred8_0 )
& ( ( ( op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& op1(e13,op1(e13,e13)) = e13
& op1(e13,op1(e13,e12)) = e12
& op1(e13,op1(e13,e11)) = e11
& op1(e13,op1(e13,e10)) = e10 )
| ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 )
& op1(e12,op1(e12,e13)) = e13
& op1(e12,op1(e12,e12)) = e12
& op1(e12,op1(e12,e11)) = e11
& op1(e12,op1(e12,e10)) = e10 )
| epred1_0 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax10]),c_0_15]),c_0_16]) ).
fof(c_0_22,plain,
( epred8_0
=> ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| epred7_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_16]),c_0_17]) ).
cnf(c_0_23,plain,
op1(e11,e10) != op1(e11,e11),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
op1(e10,e10) != op1(e11,e10),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
op1(e10,e10) = e13,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20]),c_0_20]) ).
cnf(c_0_26,plain,
e12 = op1(op1(op1(e11,e11),op1(e11,e11)),op1(e11,e11)),
inference(split_conjunct,[status(thm)],[ax12]) ).
fof(c_0_27,plain,
( ( epred8_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e13) != e13 )
& ( epred8_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( epred8_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( epred8_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( epred8_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e13) = e13 )
& ( epred8_0
| op1(e12,e12) != e12
| op1(e13,e13) != e13 )
& ( epred8_0
| op1(e12,e12) != e12
| op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( epred8_0
| op1(e12,e12) != e12
| op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( epred8_0
| op1(e12,e12) != e12
| op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( epred8_0
| op1(e12,e12) != e12
| op1(e13,e13) = e13 )
& ( epred8_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e13,e13) != e13 )
& ( epred8_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( epred8_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( epred8_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( epred8_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e13,e13) = e13 )
& ( epred8_0
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e13,e13) != e13 )
& ( epred8_0
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( epred8_0
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( epred8_0
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( epred8_0
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e13,e13) = e13 )
& ( epred8_0
| op1(e12,e13) = e13
| op1(e13,e13) != e13 )
& ( epred8_0
| op1(e12,e13) = e13
| op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( epred8_0
| op1(e12,e13) = e13
| op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( epred8_0
| op1(e12,e13) = e13
| op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( epred8_0
| op1(e12,e13) = e13
| op1(e13,e13) = e13 )
& ( epred8_0
| op1(e13,e12) = e13
| op1(e13,e13) != e13 )
& ( epred8_0
| op1(e13,e12) = e13
| op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( epred8_0
| op1(e13,e12) = e13
| op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( epred8_0
| op1(e13,e12) = e13
| op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( epred8_0
| op1(e13,e12) = e13
| op1(e13,e13) = e13 )
& ( epred1_0
| op1(e13,e12) = e13
| op1(e13,e13) != e12
| op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( epred1_0
| op1(e13,e12) = e13
| op1(e13,e13) != e12
| op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( epred1_0
| op1(e13,e12) = e13
| op1(e13,e13) != e12
| op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( epred1_0
| op1(e13,e12) = e13
| op1(e13,e13) != e12
| op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& ( epred1_0
| op1(e13,e12) = e13
| op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) = e13 )
& ( epred1_0
| op1(e13,e12) = e13
| op1(e13,e13) != e12
| op1(e13,op1(e13,e12)) = e12 )
& ( epred1_0
| op1(e13,e12) = e13
| op1(e13,e13) != e12
| op1(e13,op1(e13,e11)) = e11 )
& ( epred1_0
| op1(e13,e12) = e13
| op1(e13,e13) != e12
| op1(e13,op1(e13,e10)) = e10 )
& ( epred1_0
| op1(e12,e12) = e12
| op1(e12,e12) != e12
| op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( epred1_0
| op1(e12,e12) = e12
| op1(e12,e12) != e12
| op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( epred1_0
| op1(e12,e12) = e12
| op1(e12,e12) != e12
| op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( epred1_0
| op1(e12,e12) = e12
| op1(e12,e12) != e12
| op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& ( epred1_0
| op1(e12,e12) = e12
| op1(e12,e12) != e12
| op1(e13,op1(e13,e13)) = e13 )
& ( epred1_0
| op1(e12,e12) = e12
| op1(e12,e12) != e12
| op1(e13,op1(e13,e12)) = e12 )
& ( epred1_0
| op1(e12,e12) = e12
| op1(e12,e12) != e12
| op1(e13,op1(e13,e11)) = e11 )
& ( epred1_0
| op1(e12,e12) = e12
| op1(e12,e12) != e12
| op1(e13,op1(e13,e10)) = e10 )
& ( epred1_0
| op1(e11,e12) = e11
| op1(e11,e11) != e12
| op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( epred1_0
| op1(e11,e12) = e11
| op1(e11,e11) != e12
| op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( epred1_0
| op1(e11,e12) = e11
| op1(e11,e11) != e12
| op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( epred1_0
| op1(e11,e12) = e11
| op1(e11,e11) != e12
| op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& ( epred1_0
| op1(e11,e12) = e11
| op1(e11,e11) != e12
| op1(e13,op1(e13,e13)) = e13 )
& ( epred1_0
| op1(e11,e12) = e11
| op1(e11,e11) != e12
| op1(e13,op1(e13,e12)) = e12 )
& ( epred1_0
| op1(e11,e12) = e11
| op1(e11,e11) != e12
| op1(e13,op1(e13,e11)) = e11 )
& ( epred1_0
| op1(e11,e12) = e11
| op1(e11,e11) != e12
| op1(e13,op1(e13,e10)) = e10 )
& ( epred1_0
| op1(e10,e12) = e10
| op1(e10,e10) != e12
| op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( epred1_0
| op1(e10,e12) = e10
| op1(e10,e10) != e12
| op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( epred1_0
| op1(e10,e12) = e10
| op1(e10,e10) != e12
| op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( epred1_0
| op1(e10,e12) = e10
| op1(e10,e10) != e12
| op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& ( epred1_0
| op1(e10,e12) = e10
| op1(e10,e10) != e12
| op1(e13,op1(e13,e13)) = e13 )
& ( epred1_0
| op1(e10,e12) = e10
| op1(e10,e10) != e12
| op1(e13,op1(e13,e12)) = e12 )
& ( epred1_0
| op1(e10,e12) = e10
| op1(e10,e10) != e12
| op1(e13,op1(e13,e11)) = e11 )
& ( epred1_0
| op1(e10,e12) = e10
| op1(e10,e10) != e12
| op1(e13,op1(e13,e10)) = e10 )
& ( epred1_0
| op1(e12,op1(e12,e13)) = e13
| op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( epred1_0
| op1(e12,op1(e12,e13)) = e13
| op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( epred1_0
| op1(e12,op1(e12,e13)) = e13
| op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( epred1_0
| op1(e12,op1(e12,e13)) = e13
| op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& ( epred1_0
| op1(e12,op1(e12,e13)) = e13
| op1(e13,op1(e13,e13)) = e13 )
& ( epred1_0
| op1(e12,op1(e12,e13)) = e13
| op1(e13,op1(e13,e12)) = e12 )
& ( epred1_0
| op1(e12,op1(e12,e13)) = e13
| op1(e13,op1(e13,e11)) = e11 )
& ( epred1_0
| op1(e12,op1(e12,e13)) = e13
| op1(e13,op1(e13,e10)) = e10 )
& ( epred1_0
| op1(e12,op1(e12,e12)) = e12
| op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( epred1_0
| op1(e12,op1(e12,e12)) = e12
| op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( epred1_0
| op1(e12,op1(e12,e12)) = e12
| op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( epred1_0
| op1(e12,op1(e12,e12)) = e12
| op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& ( epred1_0
| op1(e12,op1(e12,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 )
& ( epred1_0
| op1(e12,op1(e12,e12)) = e12
| op1(e13,op1(e13,e12)) = e12 )
& ( epred1_0
| op1(e12,op1(e12,e12)) = e12
| op1(e13,op1(e13,e11)) = e11 )
& ( epred1_0
| op1(e12,op1(e12,e12)) = e12
| op1(e13,op1(e13,e10)) = e10 )
& ( epred1_0
| op1(e12,op1(e12,e11)) = e11
| op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( epred1_0
| op1(e12,op1(e12,e11)) = e11
| op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( epred1_0
| op1(e12,op1(e12,e11)) = e11
| op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( epred1_0
| op1(e12,op1(e12,e11)) = e11
| op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& ( epred1_0
| op1(e12,op1(e12,e11)) = e11
| op1(e13,op1(e13,e13)) = e13 )
& ( epred1_0
| op1(e12,op1(e12,e11)) = e11
| op1(e13,op1(e13,e12)) = e12 )
& ( epred1_0
| op1(e12,op1(e12,e11)) = e11
| op1(e13,op1(e13,e11)) = e11 )
& ( epred1_0
| op1(e12,op1(e12,e11)) = e11
| op1(e13,op1(e13,e10)) = e10 )
& ( epred1_0
| op1(e12,op1(e12,e10)) = e10
| op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( epred1_0
| op1(e12,op1(e12,e10)) = e10
| op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( epred1_0
| op1(e12,op1(e12,e10)) = e10
| op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( epred1_0
| op1(e12,op1(e12,e10)) = e10
| op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& ( epred1_0
| op1(e12,op1(e12,e10)) = e10
| op1(e13,op1(e13,e13)) = e13 )
& ( epred1_0
| op1(e12,op1(e12,e10)) = e10
| op1(e13,op1(e13,e12)) = e12 )
& ( epred1_0
| op1(e12,op1(e12,e10)) = e10
| op1(e13,op1(e13,e11)) = e11 )
& ( epred1_0
| op1(e12,op1(e12,e10)) = e10
| op1(e13,op1(e13,e10)) = e10 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])]) ).
fof(c_0_28,plain,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
inference(fof_simplification,[status(thm)],[ax7]) ).
fof(c_0_29,plain,
( epred2_0
<=> ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition) ).
fof(c_0_30,plain,
( epred6_0
<=> ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& op1(e12,e12) != e12
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e11) = e11 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& op1(e12,e12) != e12
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition) ).
fof(c_0_31,plain,
( epred5_0
<=> ( ( op1(e13,e13) != e13
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& op1(e12,e12) != e12
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e11) = e11 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& op1(e12,e12) != e12
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition) ).
fof(c_0_32,plain,
( ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e11,e11) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e11,e13) = e13 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e13,e11) = e13 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e11,e11) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e11,e13) = e13 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e13,e11) = e13 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e11) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e13) = e13 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e13,e11) = e13 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e10
| op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e10
| op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e10
| op1(e11,e11) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e10
| op1(e11,e13) = e13 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e10) != e10
| op1(e13,e11) = e13 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e13) = e13
| op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e13) = e13
| op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e13) = e13
| op1(e11,e11) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e13) = e13
| op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e13) = e13
| op1(e11,e13) = e13 )
& ( ~ epred8_0
| epred7_0
| op1(e10,e13) = e13
| op1(e13,e11) = e13 )
& ( ~ epred8_0
| epred7_0
| op1(e13,e10) = e13
| op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e13,e10) = e13
| op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e13,e10) = e13
| op1(e11,e11) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e13,e10) = e13
| op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( ~ epred8_0
| epred7_0
| op1(e13,e10) = e13
| op1(e11,e13) = e13 )
& ( ~ epred8_0
| epred7_0
| op1(e13,e10) = e13
| op1(e13,e11) = e13 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
cnf(c_0_33,plain,
op1(e10,e10) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_34,plain,
( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_35,plain,
op1(e11,e10) != e10,
inference(rw,[status(thm)],[c_0_23,c_0_20]) ).
cnf(c_0_36,plain,
op1(e11,e10) != e13,
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_37,plain,
op1(e11,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_38,plain,
op1(e13,e10) = e12,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_20]),c_0_20]),c_0_25]),c_0_20]) ).
cnf(c_0_39,plain,
( op1(e13,e13) != e13
| epred8_0
| op1(e12,e13) = e13 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40,plain,
( epred8_0
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_41,plain,
op1(e10,e10) != op1(e10,e11),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_42,plain,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
inference(fof_nnf,[status(thm)],[c_0_28]) ).
cnf(c_0_43,plain,
( op1(e13,e13) != e13
| epred8_0
| op1(e13,e12) = e13 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_44,plain,
( epred8_0
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_45,plain,
( epred2_0
=> ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
inference(split_equiv,[status(thm)],[c_0_29]) ).
fof(c_0_46,plain,
( epred6_0
=> ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| epred5_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_30]),c_0_31]) ).
fof(c_0_47,plain,
( epred7_0
=> ( ( op1(e13,e13) != e13
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& op1(e12,e12) != e12
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e12) = e12 )
| epred6_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_17]),c_0_30]) ).
cnf(c_0_48,plain,
( ~ epred8_0
| op1(e11,e11) != e10
| op1(e11,e10) != e11
| epred7_0
| op1(e10,e13) = e13 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_49,plain,
op1(e10,e13) != e13,
inference(rw,[status(thm)],[c_0_33,c_0_25]) ).
cnf(c_0_50,plain,
( op1(e11,e10) = e11
| op1(e11,e10) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_51,plain,
op1(e11,e10) != e12,
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_52,plain,
op1(e12,e11) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_53,plain,
( epred8_0
| op1(e12,e13) = e13 ),
inference(csr,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_54,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_55,plain,
op1(e10,e11) != e13,
inference(rw,[status(thm)],[c_0_41,c_0_25]) ).
cnf(c_0_56,plain,
e10 != e13,
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_57,plain,
op1(e13,e11) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_58,plain,
( epred8_0
| op1(e13,e12) = e13 ),
inference(csr,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_59,plain,
( epred3_0
<=> ( ( op1(e13,e13) != e13
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& op1(e12,e12) != e12
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition) ).
fof(c_0_60,plain,
( ( ~ epred2_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( ~ epred2_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( ~ epred2_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e11,e11) != e11 )
& ( ~ epred2_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( ~ epred2_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e11,e10) = e10 )
& ( ~ epred2_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e10,e11) = e10 )
& ( ~ epred2_0
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( ~ epred2_0
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( ~ epred2_0
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e11,e11) != e11 )
& ( ~ epred2_0
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( ~ epred2_0
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e11,e10) = e10 )
& ( ~ epred2_0
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e10,e11) = e10 )
& ( ~ epred2_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( ~ epred2_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( ~ epred2_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e11) != e11 )
& ( ~ epred2_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( ~ epred2_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e10) = e10 )
& ( ~ epred2_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e10,e11) = e10 )
& ( ~ epred2_0
| op1(e10,e10) != e10
| op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( ~ epred2_0
| op1(e10,e10) != e10
| op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( ~ epred2_0
| op1(e10,e10) != e10
| op1(e11,e11) != e11 )
& ( ~ epred2_0
| op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( ~ epred2_0
| op1(e10,e10) != e10
| op1(e11,e10) = e10 )
& ( ~ epred2_0
| op1(e10,e10) != e10
| op1(e10,e11) = e10 )
& ( ~ epred2_0
| op1(e10,e10) = e10
| op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( ~ epred2_0
| op1(e10,e10) = e10
| op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( ~ epred2_0
| op1(e10,e10) = e10
| op1(e11,e11) != e11 )
& ( ~ epred2_0
| op1(e10,e10) = e10
| op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( ~ epred2_0
| op1(e10,e10) = e10
| op1(e11,e10) = e10 )
& ( ~ epred2_0
| op1(e10,e10) = e10
| op1(e10,e11) = e10 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])]) ).
cnf(c_0_61,plain,
op1(e10,e11) != op1(e11,e11),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_62,plain,
( epred4_0
<=> ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e11) = e11 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& op1(e12,e12) != e12
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition) ).
fof(c_0_63,plain,
( ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e11,e11) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e11,e12) = e12 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e12,e11) = e12 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e11,e11) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e11,e12) = e12 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e12,e11) = e12 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e11) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e12) = e12 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e12,e11) = e12 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e10
| op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e10
| op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e10
| op1(e11,e11) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e10
| op1(e11,e12) = e12 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e10) != e10
| op1(e12,e11) = e12 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e12) = e12
| op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e12) = e12
| op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e12) = e12
| op1(e11,e11) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e12) = e12
| op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e12) = e12
| op1(e11,e12) = e12 )
& ( ~ epred6_0
| epred5_0
| op1(e10,e12) = e12
| op1(e12,e11) = e12 )
& ( ~ epred6_0
| epred5_0
| op1(e12,e10) = e12
| op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e12,e10) = e12
| op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e12,e10) = e12
| op1(e11,e11) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e12,e10) = e12
| op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( ~ epred6_0
| epred5_0
| op1(e12,e10) = e12
| op1(e11,e12) = e12 )
& ( ~ epred6_0
| epred5_0
| op1(e12,e10) = e12
| op1(e12,e11) = e12 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])]) ).
cnf(c_0_64,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
fof(c_0_65,plain,
( ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e13) != e13 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e12) = e12 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e12,e13) = e12 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e12
| op1(e13,e13) != e13 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e12
| op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e12
| op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e12
| op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e12
| op1(e13,e12) = e12 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e12
| op1(e12,e13) = e12 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e13,e13) != e13 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e13,e12) = e12 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e12,e13) = e12 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e13,e13) != e13 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e13,e12) = e12 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e12,e13) = e12 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) = e12
| op1(e13,e13) != e13 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) = e12
| op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) = e12
| op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) = e12
| op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( ~ epred7_0
| epred6_0
| op1(e12,e12) = e12
| op1(e12,e13) = e12 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])]) ).
cnf(c_0_66,plain,
( ~ epred8_0
| op1(e11,e10) != e11
| epred7_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_20])]),c_0_49]) ).
cnf(c_0_67,plain,
op1(e11,e10) = e11,
inference(sr,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_68,plain,
( op1(e12,e11) != e13
| epred8_0 ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_69,plain,
( op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_20]),c_0_55]),c_0_56]) ).
cnf(c_0_70,plain,
( op1(e13,e11) != e13
| epred8_0 ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
fof(c_0_71,plain,
( epred3_0
=> ( ( op1(e13,e13) != e13
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& op1(e12,e12) != e12
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| epred2_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_59]),c_0_29]) ).
cnf(c_0_72,plain,
( ~ epred2_0
| op1(e10,e10) = e10
| op1(e10,e11) = e10 ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_73,plain,
op1(e10,e11) != e10,
inference(rw,[status(thm)],[c_0_61,c_0_20]) ).
fof(c_0_74,plain,
( epred5_0
=> ( ( op1(e13,e13) != e13
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& op1(e12,e12) != e12
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| epred4_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_31]),c_0_62]) ).
cnf(c_0_75,plain,
( ~ epred6_0
| op1(e11,e11) != e10
| op1(e11,e10) != e11
| epred5_0
| op1(e12,e10) = e12 ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_76,plain,
( op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_25]),c_0_56]),c_0_35]) ).
cnf(c_0_77,plain,
e10 != e12,
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_78,plain,
( ~ epred7_0
| op1(e12,e12) != e12
| epred6_0
| op1(e13,e12) = e12 ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_79,plain,
( ~ epred7_0
| epred6_0
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_80,plain,
( ~ epred8_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67])]) ).
cnf(c_0_81,plain,
epred8_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).
cnf(c_0_82,plain,
op1(e13,e10) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_83,plain,
( ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e13) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e10) = e10 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e10,e13) = e10 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e12
| op1(e13,e13) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e12
| op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e12
| op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e12
| op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e12
| op1(e13,e10) = e10 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e12
| op1(e10,e13) = e10 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e13,e13) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e13,e10) = e10 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e10,e13) = e10 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e13,e13) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e13,e10) = e10 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e10,e13) = e10 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e10) = e10
| op1(e13,e13) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e10) = e10
| op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e10) = e10
| op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e10) = e10
| op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( ~ epred3_0
| epred2_0
| op1(e12,e10) = e10
| op1(e10,e13) = e10 )
& ( ~ epred3_0
| epred2_0
| op1(e10,e12) = e10
| op1(e13,e13) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e10,e12) = e10
| op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e10,e12) = e10
| op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e10,e12) = e10
| op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( ~ epred3_0
| epred2_0
| op1(e10,e12) = e10
| op1(e13,e10) = e10 )
& ( ~ epred3_0
| epred2_0
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])]) ).
cnf(c_0_84,plain,
( ~ epred2_0
| op1(e10,e10) != e10
| op1(e10,e11) = e10 ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_85,plain,
( ~ epred2_0
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[c_0_72,c_0_73]) ).
fof(c_0_86,plain,
( epred4_0
=> ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e11) = e11 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| epred3_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_62]),c_0_59]) ).
fof(c_0_87,plain,
( ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e13) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e11) = e11 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e11,e13) = e11 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e12
| op1(e13,e13) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e12
| op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e12
| op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e12
| op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e12
| op1(e13,e11) = e11 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e12
| op1(e11,e13) = e11 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e13,e13) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e13,e11) = e11 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e11,e13) = e11 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e13,e13) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e13,e11) = e11 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e11,e13) = e11 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e11) = e11
| op1(e13,e13) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e11) = e11
| op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e11) = e11
| op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e11) = e11
| op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( ~ epred5_0
| epred4_0
| op1(e12,e11) = e11
| op1(e11,e13) = e11 )
& ( ~ epred5_0
| epred4_0
| op1(e11,e12) = e11
| op1(e13,e13) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e11,e12) = e11
| op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e11,e12) = e11
| op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e11,e12) = e11
| op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( ~ epred5_0
| epred4_0
| op1(e11,e12) = e11
| op1(e13,e11) = e11 )
& ( ~ epred5_0
| epred4_0
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])])]) ).
cnf(c_0_88,plain,
op1(e11,e10) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_89,plain,
op1(e11,e10) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_90,plain,
( ~ epred6_0
| op1(e11,e10) != e11
| epred5_0
| op1(e12,e10) = e12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_20])]) ).
cnf(c_0_91,plain,
op1(e12,e10) = e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_38]),c_0_77]) ).
cnf(c_0_92,plain,
( ~ epred7_0
| epred6_0
| op1(e13,e12) = e12 ),
inference(csr,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_93,plain,
epred7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_81])]) ).
cnf(c_0_94,plain,
op1(e13,e12) != e12,
inference(rw,[status(thm)],[c_0_82,c_0_38]) ).
cnf(c_0_95,plain,
( ~ epred3_0
| epred2_0
| op1(e10,e12) = e10
| op1(e13,e10) = e10 ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_96,plain,
~ epred2_0,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_84,c_0_73]),c_0_85]) ).
fof(c_0_97,plain,
( ( ~ epred4_0
| epred3_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e11,e11) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e11,e11) = e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e11,e11) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e11,e11) = e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e11) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e11) = e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e10) != e10
| op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e10) != e10
| op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e10) != e10
| op1(e11,e11) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e10) != e10
| op1(e11,e11) = e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e11) = e11
| op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e11) = e11
| op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e11) = e11
| op1(e11,e11) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e11) = e11
| op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e10,e11) = e11
| op1(e11,e11) = e11 )
& ( ~ epred4_0
| epred3_0
| op1(e11,e10) = e11
| op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e11,e10) = e11
| op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e11,e10) = e11
| op1(e11,e11) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e11,e10) = e11
| op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( ~ epred4_0
| epred3_0
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])])]) ).
cnf(c_0_98,plain,
( ~ epred5_0
| epred4_0
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_99,plain,
op1(e11,e13) != e11,
inference(rw,[status(thm)],[c_0_88,c_0_67]) ).
cnf(c_0_100,plain,
op1(e11,e12) != e11,
inference(rw,[status(thm)],[c_0_89,c_0_67]) ).
cnf(c_0_101,plain,
( ~ epred6_0
| epred5_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_67])]),c_0_91]),c_0_77]) ).
cnf(c_0_102,plain,
epred6_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93])]),c_0_94]) ).
cnf(c_0_103,plain,
( ~ epred3_0
| op1(e10,e12) = e10
| op1(e13,e10) = e10 ),
inference(sr,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_104,plain,
( ~ epred4_0
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| epred3_0
| op1(e11,e11) = e11 ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_105,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_106,plain,
( ~ epred5_0
| epred4_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).
cnf(c_0_107,plain,
epred5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_102])]) ).
cnf(c_0_108,plain,
op1(e10,e12) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_109,plain,
( ~ epred3_0
| op1(e10,e12) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_103]),c_0_77]) ).
cnf(c_0_110,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_111,plain,
( ~ epred4_0
| op1(e10,e13) != e10
| epred3_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_20]),c_0_25])]),c_0_105]) ).
cnf(c_0_112,plain,
epred4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_107])]) ).
cnf(c_0_113,plain,
( ~ epred3_0
| op1(e10,e13) != e10 ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
fof(c_0_114,plain,
( epred9_0
<=> ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& op2(e21,op2(e21,e23)) = e23
& op2(e21,op2(e21,e22)) = e22
& op2(e21,op2(e21,e21)) = e21
& op2(e21,op2(e21,e20)) = e20 )
| ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& op2(e20,op2(e20,e23)) = e23
& op2(e20,op2(e20,e22)) = e22
& op2(e20,op2(e20,e21)) = e21
& op2(e20,op2(e20,e20)) = e20 ) ) ),
introduced(definition) ).
fof(c_0_115,plain,
( epred16_0
<=> ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& op2(e22,e22) != e22
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e22) = e22 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& op2(e22,e22) != e22
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e21) = e21 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& op2(e22,e22) != e22
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition) ).
fof(c_0_116,plain,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
inference(fof_simplification,[status(thm)],[ax6]) ).
cnf(c_0_117,plain,
( op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_25]),c_0_56]),c_0_73]) ).
cnf(c_0_118,plain,
op1(e10,e13) != e10,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_112])]),c_0_113]) ).
cnf(c_0_119,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_120,plain,
e12 != e13,
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_121,plain,
op1(e11,e11) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_122,plain,
( ( ( op2(e23,e23) != e23
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e23) = e23 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& op2(e22,e22) != e22
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| epred16_0 )
& ( ( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& op2(e23,op2(e23,e23)) = e23
& op2(e23,op2(e23,e22)) = e22
& op2(e23,op2(e23,e21)) = e21
& op2(e23,op2(e23,e20)) = e20 )
| ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 )
& op2(e22,op2(e22,e23)) = e23
& op2(e22,op2(e22,e22)) = e22
& op2(e22,op2(e22,e21)) = e21
& op2(e22,op2(e22,e20)) = e20 )
| epred9_0 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax11]),c_0_114]),c_0_115]) ).
fof(c_0_123,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_116]) ).
cnf(c_0_124,plain,
e23 = op2(op2(e21,e21),op2(e21,e21)),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_125,plain,
e20 = op2(e21,e21),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_126,plain,
op1(e10,e12) = e10,
inference(sr,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_127,plain,
( op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_25]),c_0_120]) ).
cnf(c_0_128,plain,
( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_129,plain,
op1(e11,e13) != e10,
inference(rw,[status(thm)],[c_0_121,c_0_20]) ).
fof(c_0_130,plain,
( epred15_0
<=> ( ( op2(e23,e23) != e23
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& op2(e22,e22) != e22
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e22) = e22 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& op2(e22,e22) != e22
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e21) = e21 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& op2(e22,e22) != e22
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition) ).
fof(c_0_131,plain,
( ( epred16_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e23) != e23 )
& ( epred16_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( epred16_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( epred16_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( epred16_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e23) = e23 )
& ( epred16_0
| op2(e22,e22) != e22
| op2(e23,e23) != e23 )
& ( epred16_0
| op2(e22,e22) != e22
| op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( epred16_0
| op2(e22,e22) != e22
| op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( epred16_0
| op2(e22,e22) != e22
| op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( epred16_0
| op2(e22,e22) != e22
| op2(e23,e23) = e23 )
& ( epred16_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e23,e23) != e23 )
& ( epred16_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( epred16_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( epred16_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( epred16_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e23,e23) = e23 )
& ( epred16_0
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e23,e23) != e23 )
& ( epred16_0
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( epred16_0
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( epred16_0
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( epred16_0
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e23,e23) = e23 )
& ( epred16_0
| op2(e22,e23) = e23
| op2(e23,e23) != e23 )
& ( epred16_0
| op2(e22,e23) = e23
| op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( epred16_0
| op2(e22,e23) = e23
| op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( epred16_0
| op2(e22,e23) = e23
| op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( epred16_0
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( epred16_0
| op2(e23,e22) = e23
| op2(e23,e23) != e23 )
& ( epred16_0
| op2(e23,e22) = e23
| op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( epred16_0
| op2(e23,e22) = e23
| op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( epred16_0
| op2(e23,e22) = e23
| op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( epred16_0
| op2(e23,e22) = e23
| op2(e23,e23) = e23 )
& ( epred9_0
| op2(e23,e22) = e23
| op2(e23,e23) != e22
| op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( epred9_0
| op2(e23,e22) = e23
| op2(e23,e23) != e22
| op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( epred9_0
| op2(e23,e22) = e23
| op2(e23,e23) != e22
| op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( epred9_0
| op2(e23,e22) = e23
| op2(e23,e23) != e22
| op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& ( epred9_0
| op2(e23,e22) = e23
| op2(e23,e23) != e22
| op2(e23,op2(e23,e23)) = e23 )
& ( epred9_0
| op2(e23,e22) = e23
| op2(e23,e23) != e22
| op2(e23,op2(e23,e22)) = e22 )
& ( epred9_0
| op2(e23,e22) = e23
| op2(e23,e23) != e22
| op2(e23,op2(e23,e21)) = e21 )
& ( epred9_0
| op2(e23,e22) = e23
| op2(e23,e23) != e22
| op2(e23,op2(e23,e20)) = e20 )
& ( epred9_0
| op2(e22,e22) = e22
| op2(e22,e22) != e22
| op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( epred9_0
| op2(e22,e22) = e22
| op2(e22,e22) != e22
| op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( epred9_0
| op2(e22,e22) = e22
| op2(e22,e22) != e22
| op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( epred9_0
| op2(e22,e22) = e22
| op2(e22,e22) != e22
| op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& ( epred9_0
| op2(e22,e22) = e22
| op2(e22,e22) != e22
| op2(e23,op2(e23,e23)) = e23 )
& ( epred9_0
| op2(e22,e22) = e22
| op2(e22,e22) != e22
| op2(e23,op2(e23,e22)) = e22 )
& ( epred9_0
| op2(e22,e22) = e22
| op2(e22,e22) != e22
| op2(e23,op2(e23,e21)) = e21 )
& ( epred9_0
| op2(e22,e22) = e22
| op2(e22,e22) != e22
| op2(e23,op2(e23,e20)) = e20 )
& ( epred9_0
| op2(e21,e22) = e21
| op2(e21,e21) != e22
| op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( epred9_0
| op2(e21,e22) = e21
| op2(e21,e21) != e22
| op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( epred9_0
| op2(e21,e22) = e21
| op2(e21,e21) != e22
| op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( epred9_0
| op2(e21,e22) = e21
| op2(e21,e21) != e22
| op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& ( epred9_0
| op2(e21,e22) = e21
| op2(e21,e21) != e22
| op2(e23,op2(e23,e23)) = e23 )
& ( epred9_0
| op2(e21,e22) = e21
| op2(e21,e21) != e22
| op2(e23,op2(e23,e22)) = e22 )
& ( epred9_0
| op2(e21,e22) = e21
| op2(e21,e21) != e22
| op2(e23,op2(e23,e21)) = e21 )
& ( epred9_0
| op2(e21,e22) = e21
| op2(e21,e21) != e22
| op2(e23,op2(e23,e20)) = e20 )
& ( epred9_0
| op2(e20,e22) = e20
| op2(e20,e20) != e22
| op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( epred9_0
| op2(e20,e22) = e20
| op2(e20,e20) != e22
| op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( epred9_0
| op2(e20,e22) = e20
| op2(e20,e20) != e22
| op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( epred9_0
| op2(e20,e22) = e20
| op2(e20,e20) != e22
| op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& ( epred9_0
| op2(e20,e22) = e20
| op2(e20,e20) != e22
| op2(e23,op2(e23,e23)) = e23 )
& ( epred9_0
| op2(e20,e22) = e20
| op2(e20,e20) != e22
| op2(e23,op2(e23,e22)) = e22 )
& ( epred9_0
| op2(e20,e22) = e20
| op2(e20,e20) != e22
| op2(e23,op2(e23,e21)) = e21 )
& ( epred9_0
| op2(e20,e22) = e20
| op2(e20,e20) != e22
| op2(e23,op2(e23,e20)) = e20 )
& ( epred9_0
| op2(e22,op2(e22,e23)) = e23
| op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( epred9_0
| op2(e22,op2(e22,e23)) = e23
| op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( epred9_0
| op2(e22,op2(e22,e23)) = e23
| op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( epred9_0
| op2(e22,op2(e22,e23)) = e23
| op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& ( epred9_0
| op2(e22,op2(e22,e23)) = e23
| op2(e23,op2(e23,e23)) = e23 )
& ( epred9_0
| op2(e22,op2(e22,e23)) = e23
| op2(e23,op2(e23,e22)) = e22 )
& ( epred9_0
| op2(e22,op2(e22,e23)) = e23
| op2(e23,op2(e23,e21)) = e21 )
& ( epred9_0
| op2(e22,op2(e22,e23)) = e23
| op2(e23,op2(e23,e20)) = e20 )
& ( epred9_0
| op2(e22,op2(e22,e22)) = e22
| op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( epred9_0
| op2(e22,op2(e22,e22)) = e22
| op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( epred9_0
| op2(e22,op2(e22,e22)) = e22
| op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( epred9_0
| op2(e22,op2(e22,e22)) = e22
| op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& ( epred9_0
| op2(e22,op2(e22,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( epred9_0
| op2(e22,op2(e22,e22)) = e22
| op2(e23,op2(e23,e22)) = e22 )
& ( epred9_0
| op2(e22,op2(e22,e22)) = e22
| op2(e23,op2(e23,e21)) = e21 )
& ( epred9_0
| op2(e22,op2(e22,e22)) = e22
| op2(e23,op2(e23,e20)) = e20 )
& ( epred9_0
| op2(e22,op2(e22,e21)) = e21
| op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( epred9_0
| op2(e22,op2(e22,e21)) = e21
| op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( epred9_0
| op2(e22,op2(e22,e21)) = e21
| op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( epred9_0
| op2(e22,op2(e22,e21)) = e21
| op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& ( epred9_0
| op2(e22,op2(e22,e21)) = e21
| op2(e23,op2(e23,e23)) = e23 )
& ( epred9_0
| op2(e22,op2(e22,e21)) = e21
| op2(e23,op2(e23,e22)) = e22 )
& ( epred9_0
| op2(e22,op2(e22,e21)) = e21
| op2(e23,op2(e23,e21)) = e21 )
& ( epred9_0
| op2(e22,op2(e22,e21)) = e21
| op2(e23,op2(e23,e20)) = e20 )
& ( epred9_0
| op2(e22,op2(e22,e20)) = e20
| op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( epred9_0
| op2(e22,op2(e22,e20)) = e20
| op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( epred9_0
| op2(e22,op2(e22,e20)) = e20
| op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( epred9_0
| op2(e22,op2(e22,e20)) = e20
| op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& ( epred9_0
| op2(e22,op2(e22,e20)) = e20
| op2(e23,op2(e23,e23)) = e23 )
& ( epred9_0
| op2(e22,op2(e22,e20)) = e20
| op2(e23,op2(e23,e22)) = e22 )
& ( epred9_0
| op2(e22,op2(e22,e20)) = e20
| op2(e23,op2(e23,e21)) = e21 )
& ( epred9_0
| op2(e22,op2(e22,e20)) = e20
| op2(e23,op2(e23,e20)) = e20 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_122])]) ).
cnf(c_0_132,plain,
op2(e21,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_133,plain,
e22 = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_134,plain,
op2(e20,e20) = e23,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_125]),c_0_125]) ).
fof(c_0_135,plain,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
inference(fof_simplification,[status(thm)],[ax8]) ).
cnf(c_0_136,plain,
( ~ epred3_0
| op1(e12,e12) != e12
| epred2_0
| op1(e13,e10) = e10 ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_137,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_138,plain,
( ~ epred4_0
| epred3_0
| op1(e10,e11) = e11
| op1(e11,e11) = e11 ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_139,plain,
op1(e10,e13) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_140,plain,
( op1(e10,e11) = e12
| op1(e10,e13) = e12 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_77]) ).
cnf(c_0_141,plain,
( op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(sr,[status(thm)],[c_0_128,c_0_129]) ).
fof(c_0_142,plain,
( epred16_0
=> ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| epred15_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_115]),c_0_130]) ).
cnf(c_0_143,plain,
op2(e21,e20) != op2(e21,e21),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_144,plain,
op2(e20,e20) != op2(e21,e20),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_145,plain,
( op2(e23,e23) != e23
| epred16_0
| op2(e23,e22) = e23 ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_146,plain,
( epred16_0
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_147,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_148,plain,
op2(e23,e21) != e20,
inference(rw,[status(thm)],[c_0_132,c_0_125]) ).
cnf(c_0_149,plain,
op2(e23,e20) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_150,plain,
op2(e23,e20) = e22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_125]),c_0_125]),c_0_134]),c_0_125]) ).
fof(c_0_151,plain,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
inference(fof_nnf,[status(thm)],[c_0_135]) ).
cnf(c_0_152,plain,
( ~ epred3_0
| op1(e12,e12) != e12
| op1(e13,e10) = e10 ),
inference(sr,[status(thm)],[c_0_136,c_0_96]) ).
cnf(c_0_153,plain,
( op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(sr,[status(thm)],[c_0_137,c_0_94]) ).
cnf(c_0_154,plain,
( ~ epred4_0
| epred3_0
| op1(e10,e11) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_20]),c_0_105]) ).
cnf(c_0_155,plain,
( op1(e11,e13) != e12
| op1(e10,e11) = e12 ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_156,plain,
( op1(e11,e13) = e13
| op1(e11,e13) = e12 ),
inference(sr,[status(thm)],[c_0_141,c_0_99]) ).
cnf(c_0_157,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_158,plain,
op1(e12,e10) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_159,plain,
( epred14_0
<=> ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& op2(e22,e22) != e22
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e21) = e21 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& op2(e22,e22) != e22
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition) ).
fof(c_0_160,plain,
( epred13_0
<=> ( ( op2(e23,e23) != e23
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& op2(e22,e22) != e22
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e21) = e21 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& op2(e22,e22) != e22
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition) ).
fof(c_0_161,plain,
( ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e21,e21) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e21,e23) = e23 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e23,e21) = e23 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e21,e21) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e21,e23) = e23 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e23,e21) = e23 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e21) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e23) = e23 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e23,e21) = e23 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e20
| op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e20
| op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e20
| op2(e21,e21) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e20
| op2(e21,e23) = e23 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e20) != e20
| op2(e23,e21) = e23 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e23) = e23
| op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e23) = e23
| op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e23) = e23
| op2(e21,e21) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e23) = e23
| op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e23) = e23
| op2(e21,e23) = e23 )
& ( ~ epred16_0
| epred15_0
| op2(e20,e23) = e23
| op2(e23,e21) = e23 )
& ( ~ epred16_0
| epred15_0
| op2(e23,e20) = e23
| op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e23,e20) = e23
| op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e23,e20) = e23
| op2(e21,e21) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e23,e20) = e23
| op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( ~ epred16_0
| epred15_0
| op2(e23,e20) = e23
| op2(e21,e23) = e23 )
& ( ~ epred16_0
| epred15_0
| op2(e23,e20) = e23
| op2(e23,e21) = e23 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_142])])]) ).
cnf(c_0_162,plain,
op2(e20,e20) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_163,plain,
( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_164,plain,
op2(e21,e20) != e20,
inference(rw,[status(thm)],[c_0_143,c_0_125]) ).
cnf(c_0_165,plain,
op2(e21,e20) != e23,
inference(rw,[status(thm)],[c_0_144,c_0_134]) ).
cnf(c_0_166,plain,
op2(e21,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_167,plain,
op2(e23,e21) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_168,plain,
( epred16_0
| op2(e23,e22) = e23 ),
inference(csr,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_169,plain,
( op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(sr,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_170,plain,
op2(e23,e21) != e22,
inference(rw,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_171,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_172,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_173,plain,
op2(e20,e20) != op2(e20,e21),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_174,plain,
( op2(e23,e23) != e23
| epred16_0
| op2(e22,e23) = e23 ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_175,plain,
( epred16_0
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_176,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_177,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_178,plain,
( ~ epred3_0
| op1(e12,e12) != e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_38]),c_0_77]) ).
cnf(c_0_179,plain,
( op1(e11,e12) = e12
| op1(e12,e12) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_126]),c_0_77]) ).
cnf(c_0_180,plain,
( epred3_0
| op1(e10,e11) = e11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_112])]) ).
cnf(c_0_181,plain,
( op1(e10,e11) = e12
| op1(e11,e13) = e13 ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_182,plain,
e11 != e12,
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_183,plain,
( op1(e10,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(sr,[status(thm)],[c_0_157,c_0_129]) ).
cnf(c_0_184,plain,
op1(e12,e13) != e10,
inference(rw,[status(thm)],[c_0_158,c_0_91]) ).
fof(c_0_185,plain,
( epred14_0
=> ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| epred13_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_159]),c_0_160]) ).
fof(c_0_186,plain,
( epred15_0
=> ( ( op2(e23,e23) != e23
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& op2(e22,e22) != e22
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e22) = e22 )
| epred14_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_130]),c_0_159]) ).
cnf(c_0_187,plain,
( ~ epred16_0
| op2(e21,e21) != e20
| op2(e21,e20) != e21
| epred15_0
| op2(e20,e23) = e23 ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_188,plain,
op2(e20,e23) != e23,
inference(rw,[status(thm)],[c_0_162,c_0_134]) ).
cnf(c_0_189,plain,
( op2(e21,e20) = e21
| op2(e21,e20) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_163,c_0_164]),c_0_165]) ).
cnf(c_0_190,plain,
op2(e21,e20) != e22,
inference(rw,[status(thm)],[c_0_166,c_0_150]) ).
cnf(c_0_191,plain,
( op2(e23,e21) != e23
| epred16_0 ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_192,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e21 ),
inference(sr,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_193,plain,
( op2(e20,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_125]),c_0_172]) ).
cnf(c_0_194,plain,
op2(e20,e21) != e23,
inference(rw,[status(thm)],[c_0_173,c_0_134]) ).
cnf(c_0_195,plain,
op2(e22,e21) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_196,plain,
( epred16_0
| op2(e22,e23) = e23 ),
inference(csr,[status(thm)],[c_0_174,c_0_175]) ).
fof(c_0_197,plain,
( epred10_0
<=> ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition) ).
cnf(c_0_198,plain,
op1(e10,e10) != op1(e10,e12),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_199,plain,
( op1(e11,e10) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_20]),c_0_77]) ).
cnf(c_0_200,plain,
( op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_20]),c_0_36]),c_0_56]) ).
cnf(c_0_201,plain,
( ~ epred3_0
| op1(e11,e12) = e12 ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_202,plain,
( epred3_0
| op1(e11,e13) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_182]) ).
cnf(c_0_203,plain,
( ~ epred3_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| epred2_0
| op1(e13,e10) = e10 ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_204,plain,
( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_205,plain,
op1(e13,e10) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_206,plain,
( op1(e13,e13) = e10
| op1(e10,e13) = e10 ),
inference(sr,[status(thm)],[c_0_183,c_0_184]) ).
fof(c_0_207,plain,
( epred12_0
<=> ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e21) = e21 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& op2(e22,e22) != e22
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition) ).
fof(c_0_208,plain,
( epred11_0
<=> ( ( op2(e23,e23) != e23
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& op2(e22,e22) != e22
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition) ).
fof(c_0_209,plain,
( ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e21,e21) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e21,e22) = e22 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e22,e21) = e22 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e21,e21) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e21,e22) = e22 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e22,e21) = e22 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e21) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e22) = e22 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e22,e21) = e22 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e20
| op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e20
| op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e20
| op2(e21,e21) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e20
| op2(e21,e22) = e22 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e20) != e20
| op2(e22,e21) = e22 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e22) = e22
| op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e22) = e22
| op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e22) = e22
| op2(e21,e21) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e22) = e22
| op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e22) = e22
| op2(e21,e22) = e22 )
& ( ~ epred14_0
| epred13_0
| op2(e20,e22) = e22
| op2(e22,e21) = e22 )
& ( ~ epred14_0
| epred13_0
| op2(e22,e20) = e22
| op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e22,e20) = e22
| op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e22,e20) = e22
| op2(e21,e21) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e22,e20) = e22
| op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( ~ epred14_0
| epred13_0
| op2(e22,e20) = e22
| op2(e21,e22) = e22 )
& ( ~ epred14_0
| epred13_0
| op2(e22,e20) = e22
| op2(e22,e21) = e22 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_185])])]) ).
fof(c_0_210,plain,
( ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e23) != e23 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e22) = e22 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e22,e23) = e22 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e22
| op2(e23,e23) != e23 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e22
| op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e22
| op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e22
| op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e22
| op2(e23,e22) = e22 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e22
| op2(e22,e23) = e22 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e23,e23) != e23 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e23,e22) = e22 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e22,e23) = e22 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e23,e23) != e23 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e23,e22) = e22 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e22,e23) = e22 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) = e22
| op2(e23,e23) != e23 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) = e22
| op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) = e22
| op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) = e22
| op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( ~ epred15_0
| epred14_0
| op2(e22,e22) = e22
| op2(e22,e23) = e22 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_186])])]) ).
cnf(c_0_211,plain,
( ~ epred16_0
| op2(e21,e20) != e21
| epred15_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_125])]),c_0_188]) ).
cnf(c_0_212,plain,
op2(e21,e20) = e21,
inference(sr,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_213,plain,
( epred16_0
| op2(e23,e21) = e21 ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_214,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e23 ),
inference(sr,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_215,plain,
e21 != e23,
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_216,plain,
( op2(e22,e21) != e23
| epred16_0 ),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
fof(c_0_217,plain,
( epred10_0
=> ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
inference(split_equiv,[status(thm)],[c_0_197]) ).
cnf(c_0_218,plain,
( ~ epred3_0
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| epred2_0
| op1(e13,e10) = e10 ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_219,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_220,plain,
op1(e10,e12) != e13,
inference(rw,[status(thm)],[c_0_198,c_0_25]) ).
cnf(c_0_221,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12 ),
inference(sr,[status(thm)],[c_0_199,c_0_51]) ).
cnf(c_0_222,plain,
op1(e11,e13) = e13,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_120]),c_0_202]) ).
cnf(c_0_223,plain,
op1(e13,e10) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_224,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_225,plain,
( ~ epred3_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e13,e10) = e10 ),
inference(sr,[status(thm)],[c_0_203,c_0_96]) ).
cnf(c_0_226,plain,
( op1(e10,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_20]),c_0_77]) ).
cnf(c_0_227,plain,
op1(e13,e11) != e12,
inference(rw,[status(thm)],[c_0_205,c_0_38]) ).
cnf(c_0_228,plain,
( epred1_0
| op1(e12,op1(e12,e11)) = e11
| op1(e13,op1(e13,e13)) = e13 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_229,plain,
op1(e13,e13) = e10,
inference(sr,[status(thm)],[c_0_206,c_0_118]) ).
fof(c_0_230,plain,
( epred12_0
=> ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e21) = e21 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| epred11_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_207]),c_0_208]) ).
fof(c_0_231,plain,
( epred13_0
=> ( ( op2(e23,e23) != e23
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& op2(e22,e22) != e22
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| epred12_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_160]),c_0_207]) ).
cnf(c_0_232,plain,
( ~ epred14_0
| op2(e21,e21) != e20
| op2(e21,e20) != e21
| epred13_0
| op2(e22,e20) = e22 ),
inference(split_conjunct,[status(thm)],[c_0_209]) ).
cnf(c_0_233,plain,
op2(e22,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_234,plain,
( ~ epred15_0
| op2(e22,e22) != e22
| epred14_0
| op2(e23,e22) = e22 ),
inference(split_conjunct,[status(thm)],[c_0_210]) ).
cnf(c_0_235,plain,
( ~ epred15_0
| epred14_0
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(split_conjunct,[status(thm)],[c_0_210]) ).
cnf(c_0_236,plain,
( ~ epred16_0
| epred15_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_212])]) ).
cnf(c_0_237,plain,
epred16_0,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_215]),c_0_216]) ).
cnf(c_0_238,plain,
op2(e23,e20) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
fof(c_0_239,plain,
( ( ~ epred10_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( ~ epred10_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( ~ epred10_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e21,e21) != e21 )
& ( ~ epred10_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( ~ epred10_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e21,e20) = e20 )
& ( ~ epred10_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e20,e21) = e20 )
& ( ~ epred10_0
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( ~ epred10_0
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( ~ epred10_0
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e21,e21) != e21 )
& ( ~ epred10_0
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( ~ epred10_0
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e21,e20) = e20 )
& ( ~ epred10_0
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e20,e21) = e20 )
& ( ~ epred10_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( ~ epred10_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( ~ epred10_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e21) != e21 )
& ( ~ epred10_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( ~ epred10_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e20) = e20 )
& ( ~ epred10_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e20,e21) = e20 )
& ( ~ epred10_0
| op2(e20,e20) != e20
| op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( ~ epred10_0
| op2(e20,e20) != e20
| op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( ~ epred10_0
| op2(e20,e20) != e20
| op2(e21,e21) != e21 )
& ( ~ epred10_0
| op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( ~ epred10_0
| op2(e20,e20) != e20
| op2(e21,e20) = e20 )
& ( ~ epred10_0
| op2(e20,e20) != e20
| op2(e20,e21) = e20 )
& ( ~ epred10_0
| op2(e20,e20) = e20
| op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( ~ epred10_0
| op2(e20,e20) = e20
| op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( ~ epred10_0
| op2(e20,e20) = e20
| op2(e21,e21) != e21 )
& ( ~ epred10_0
| op2(e20,e20) = e20
| op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( ~ epred10_0
| op2(e20,e20) = e20
| op2(e21,e20) = e20 )
& ( ~ epred10_0
| op2(e20,e20) = e20
| op2(e20,e21) = e20 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_217])])]) ).
cnf(c_0_240,plain,
op2(e20,e21) != op2(e21,e21),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_241,plain,
( ~ epred3_0
| op1(e12,e13) != e12
| op1(e12,e12) != e13
| op1(e13,e10) = e10 ),
inference(sr,[status(thm)],[c_0_218,c_0_96]) ).
cnf(c_0_242,plain,
( op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 ),
inference(sr,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_243,plain,
op1(e11,e12) = e12,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_222]),c_0_120]) ).
cnf(c_0_244,plain,
( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_245,plain,
op1(e13,e13) != e12,
inference(rw,[status(thm)],[c_0_223,c_0_38]) ).
cnf(c_0_246,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12 ),
inference(sr,[status(thm)],[c_0_224,c_0_49]) ).
cnf(c_0_247,plain,
( ~ epred3_0
| op1(e12,e12) != e11
| op1(e12,e11) != e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_38]),c_0_77]) ).
cnf(c_0_248,plain,
( op1(e12,e11) = e12
| op1(e10,e11) = e12 ),
inference(sr,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_249,plain,
( epred1_0
| op1(e12,op1(e12,e11)) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_229]),c_0_38]),c_0_120]) ).
fof(c_0_250,plain,
( ( ~ epred12_0
| epred11_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e21,e21) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e21,e21) = e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e21,e21) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e21,e21) = e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e21) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e21) = e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e20) != e20
| op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e20) != e20
| op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e20) != e20
| op2(e21,e21) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e20) != e20
| op2(e21,e21) = e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e21) = e21
| op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e21) = e21
| op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e21) = e21
| op2(e21,e21) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e21) = e21
| op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e20,e21) = e21
| op2(e21,e21) = e21 )
& ( ~ epred12_0
| epred11_0
| op2(e21,e20) = e21
| op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e21,e20) = e21
| op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e21,e20) = e21
| op2(e21,e21) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e21,e20) = e21
| op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( ~ epred12_0
| epred11_0
| op2(e21,e20) = e21
| op2(e21,e21) = e21 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_230])])]) ).
fof(c_0_251,plain,
( ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e23) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e21) = e21 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e21,e23) = e21 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e22
| op2(e23,e23) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e22
| op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e22
| op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e22
| op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e22
| op2(e23,e21) = e21 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e22
| op2(e21,e23) = e21 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e23,e23) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e23,e21) = e21 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e21,e23) = e21 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e23,e23) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e23,e21) = e21 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e21,e23) = e21 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e21) = e21
| op2(e23,e23) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e21) = e21
| op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e21) = e21
| op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e21) = e21
| op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( ~ epred13_0
| epred12_0
| op2(e22,e21) = e21
| op2(e21,e23) = e21 )
& ( ~ epred13_0
| epred12_0
| op2(e21,e22) = e21
| op2(e23,e23) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e21,e22) = e21
| op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e21,e22) = e21
| op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e21,e22) = e21
| op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( ~ epred13_0
| epred12_0
| op2(e21,e22) = e21
| op2(e23,e21) = e21 )
& ( ~ epred13_0
| epred12_0
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_231])])]) ).
cnf(c_0_252,plain,
op2(e21,e20) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_253,plain,
op2(e21,e20) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_254,plain,
( ~ epred14_0
| op2(e21,e20) != e21
| epred13_0
| op2(e22,e20) = e22 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_125])]) ).
cnf(c_0_255,plain,
op2(e22,e20) != e22,
inference(rw,[status(thm)],[c_0_233,c_0_150]) ).
cnf(c_0_256,plain,
( ~ epred15_0
| epred14_0
| op2(e23,e22) = e22 ),
inference(csr,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_257,plain,
epred15_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_237])]) ).
cnf(c_0_258,plain,
op2(e23,e22) != e22,
inference(rw,[status(thm)],[c_0_238,c_0_150]) ).
cnf(c_0_259,plain,
( ~ epred10_0
| op2(e20,e20) != e20
| op2(e20,e21) = e20 ),
inference(split_conjunct,[status(thm)],[c_0_239]) ).
cnf(c_0_260,plain,
op2(e20,e21) != e20,
inference(rw,[status(thm)],[c_0_240,c_0_125]) ).
cnf(c_0_261,plain,
op1(e10,e10) != op1(e12,e10),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_262,plain,
( ~ epred3_0
| op1(e12,e13) != e12
| op1(e12,e12) != e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_241,c_0_38]),c_0_77]) ).
cnf(c_0_263,plain,
( op1(e12,e12) = e13
| op1(e13,e12) = e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_243]),c_0_120]) ).
cnf(c_0_264,plain,
( op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(sr,[status(thm)],[c_0_244,c_0_245]) ).
cnf(c_0_265,plain,
op1(e10,e11) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_266,plain,
( op1(e10,e13) = e12
| op1(e10,e13) = e11 ),
inference(sr,[status(thm)],[c_0_246,c_0_118]) ).
cnf(c_0_267,plain,
( ~ epred3_0
| op1(e12,e12) != e11
| op1(e10,e11) = e12 ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_268,plain,
( epred1_0
| op1(e12,e12) = e11
| op1(e10,e11) = e12 ),
inference(spm,[status(thm)],[c_0_249,c_0_248]) ).
cnf(c_0_269,plain,
op2(e20,e20) != op2(e22,e20),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_270,plain,
( ~ epred12_0
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| epred11_0
| op2(e21,e21) = e21 ),
inference(split_conjunct,[status(thm)],[c_0_250]) ).
cnf(c_0_271,plain,
e20 != e21,
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_272,plain,
( ~ epred13_0
| epred12_0
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(split_conjunct,[status(thm)],[c_0_251]) ).
cnf(c_0_273,plain,
op2(e21,e23) != e21,
inference(rw,[status(thm)],[c_0_252,c_0_212]) ).
cnf(c_0_274,plain,
op2(e21,e22) != e21,
inference(rw,[status(thm)],[c_0_253,c_0_212]) ).
cnf(c_0_275,plain,
( ~ epred14_0
| epred13_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_254,c_0_212])]),c_0_255]) ).
cnf(c_0_276,plain,
epred14_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_256,c_0_257])]),c_0_258]) ).
fof(c_0_277,plain,
( epred11_0
=> ( ( op2(e23,e23) != e23
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& op2(e22,e22) != e22
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| epred10_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_208]),c_0_197]) ).
cnf(c_0_278,plain,
( ~ epred10_0
| op2(e21,e21) != e20
| op2(e21,e20) != e21
| op2(e20,e20) = e20 ),
inference(split_conjunct,[status(thm)],[c_0_239]) ).
cnf(c_0_279,plain,
( ~ epred10_0
| op2(e20,e20) != e20 ),
inference(sr,[status(thm)],[c_0_259,c_0_260]) ).
cnf(c_0_280,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_281,plain,
op1(e12,e10) != e13,
inference(rw,[status(thm)],[c_0_261,c_0_25]) ).
cnf(c_0_282,plain,
op1(e11,e13) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_283,plain,
( ~ epred3_0
| op1(e12,e13) != e12
| op1(e13,e12) = e13 ),
inference(spm,[status(thm)],[c_0_262,c_0_263]) ).
cnf(c_0_284,plain,
( op1(e12,e13) = e12
| op1(e10,e13) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_264,c_0_222]),c_0_120]) ).
cnf(c_0_285,plain,
op1(e10,e13) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_286,plain,
( epred1_0
| op1(e12,e13) = e11
| op1(e13,e11) = e13 ),
inference(spm,[status(thm)],[c_0_249,c_0_69]) ).
cnf(c_0_287,plain,
( op1(e10,e11) != e12
| op1(e10,e13) = e11 ),
inference(spm,[status(thm)],[c_0_265,c_0_266]) ).
cnf(c_0_288,plain,
( ~ epred3_0
| epred1_0
| op1(e10,e11) = e12 ),
inference(spm,[status(thm)],[c_0_267,c_0_268]) ).
cnf(c_0_289,plain,
( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_290,plain,
op2(e22,e20) != e23,
inference(rw,[status(thm)],[c_0_269,c_0_134]) ).
cnf(c_0_291,plain,
op2(e21,e20) != op2(e22,e20),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_292,plain,
( ~ epred12_0
| op2(e20,e23) != e20
| op2(e20,e20) != e23
| epred11_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_270,c_0_125]),c_0_271]) ).
cnf(c_0_293,plain,
( ~ epred13_0
| epred12_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_272,c_0_273]),c_0_274]) ).
cnf(c_0_294,plain,
epred13_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_275,c_0_276])]) ).
cnf(c_0_295,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
fof(c_0_296,plain,
( ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e23) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e20) = e20 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e20,e23) = e20 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e22
| op2(e23,e23) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e22
| op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e22
| op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e22
| op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e22
| op2(e23,e20) = e20 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e22
| op2(e20,e23) = e20 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e23,e23) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e23,e20) = e20 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e20,e23) = e20 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e23,e23) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e23,e20) = e20 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e20,e23) = e20 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e20) = e20
| op2(e23,e23) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e20) = e20
| op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e20) = e20
| op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e20) = e20
| op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( ~ epred11_0
| epred10_0
| op2(e22,e20) = e20
| op2(e20,e23) = e20 )
& ( ~ epred11_0
| epred10_0
| op2(e20,e22) = e20
| op2(e23,e23) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e20,e22) = e20
| op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e20,e22) = e20
| op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e20,e22) = e20
| op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( ~ epred11_0
| epred10_0
| op2(e20,e22) = e20
| op2(e23,e20) = e20 )
& ( ~ epred11_0
| epred10_0
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_277])])]) ).
cnf(c_0_297,plain,
( ~ epred10_0
| op2(e21,e20) != e21 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_278,c_0_125])]),c_0_279]) ).
cnf(c_0_298,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_299,plain,
op1(e11,e12) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_300,plain,
( epred1_0
=> ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& op1(e11,op1(e11,e13)) = e13
& op1(e11,op1(e11,e12)) = e12
& op1(e11,op1(e11,e11)) = e11
& op1(e11,op1(e11,e10)) = e10 )
| ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& op1(e10,op1(e10,e13)) = e13
& op1(e10,op1(e10,e12)) = e12
& op1(e10,op1(e10,e11)) = e11
& op1(e10,op1(e10,e10)) = e10 ) ) ),
inference(split_equiv,[status(thm)],[c_0_15]) ).
cnf(c_0_301,plain,
( op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
inference(sr,[status(thm)],[c_0_280,c_0_281]) ).
cnf(c_0_302,plain,
op1(e12,e13) != e13,
inference(rw,[status(thm)],[c_0_282,c_0_222]) ).
cnf(c_0_303,plain,
( ~ epred3_0
| op1(e13,e12) = e13
| op1(e10,e13) = e12 ),
inference(spm,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_304,plain,
( op1(e10,e13) != e11
| epred1_0
| op1(e13,e11) = e13 ),
inference(spm,[status(thm)],[c_0_285,c_0_286]) ).
cnf(c_0_305,plain,
( ~ epred3_0
| epred1_0
| op1(e10,e13) = e11 ),
inference(spm,[status(thm)],[c_0_287,c_0_288]) ).
cnf(c_0_306,plain,
op1(e12,e10) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_307,plain,
op2(e21,e21) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_308,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22 ),
inference(sr,[status(thm)],[c_0_289,c_0_290]) ).
cnf(c_0_309,plain,
op2(e22,e20) != e21,
inference(rw,[status(thm)],[c_0_291,c_0_212]) ).
cnf(c_0_310,plain,
( ~ epred12_0
| op2(e20,e23) != e20
| epred11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_292,c_0_134])]) ).
cnf(c_0_311,plain,
epred12_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_293,c_0_294])]) ).
cnf(c_0_312,plain,
( op2(e20,e20) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(sr,[status(thm)],[c_0_295,c_0_260]) ).
cnf(c_0_313,plain,
( ~ epred11_0
| epred10_0
| op2(e20,e22) = e20
| op2(e23,e20) = e20 ),
inference(split_conjunct,[status(thm)],[c_0_296]) ).
cnf(c_0_314,plain,
~ epred10_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_297,c_0_212])]) ).
cnf(c_0_315,plain,
e20 != e22,
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_316,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_298,c_0_91]),c_0_77]) ).
cnf(c_0_317,plain,
op1(e12,e12) != e12,
inference(rw,[status(thm)],[c_0_299,c_0_243]) ).
fof(c_0_318,plain,
( ( ~ epred1_0
| op1(e13,e10) = e13
| op1(e13,e13) != e10
| op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( ~ epred1_0
| op1(e13,e10) = e13
| op1(e13,e13) != e10
| op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( ~ epred1_0
| op1(e13,e10) = e13
| op1(e13,e13) != e10
| op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( ~ epred1_0
| op1(e13,e10) = e13
| op1(e13,e13) != e10
| op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& ( ~ epred1_0
| op1(e13,e10) = e13
| op1(e13,e13) != e10
| op1(e11,op1(e11,e13)) = e13 )
& ( ~ epred1_0
| op1(e13,e10) = e13
| op1(e13,e13) != e10
| op1(e11,op1(e11,e12)) = e12 )
& ( ~ epred1_0
| op1(e13,e10) = e13
| op1(e13,e13) != e10
| op1(e11,op1(e11,e11)) = e11 )
& ( ~ epred1_0
| op1(e13,e10) = e13
| op1(e13,e13) != e10
| op1(e11,op1(e11,e10)) = e10 )
& ( ~ epred1_0
| op1(e12,e10) = e12
| op1(e12,e12) != e10
| op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( ~ epred1_0
| op1(e12,e10) = e12
| op1(e12,e12) != e10
| op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( ~ epred1_0
| op1(e12,e10) = e12
| op1(e12,e12) != e10
| op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( ~ epred1_0
| op1(e12,e10) = e12
| op1(e12,e12) != e10
| op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& ( ~ epred1_0
| op1(e12,e10) = e12
| op1(e12,e12) != e10
| op1(e11,op1(e11,e13)) = e13 )
& ( ~ epred1_0
| op1(e12,e10) = e12
| op1(e12,e12) != e10
| op1(e11,op1(e11,e12)) = e12 )
& ( ~ epred1_0
| op1(e12,e10) = e12
| op1(e12,e12) != e10
| op1(e11,op1(e11,e11)) = e11 )
& ( ~ epred1_0
| op1(e12,e10) = e12
| op1(e12,e12) != e10
| op1(e11,op1(e11,e10)) = e10 )
& ( ~ epred1_0
| op1(e11,e10) = e11
| op1(e11,e11) != e10
| op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( ~ epred1_0
| op1(e11,e10) = e11
| op1(e11,e11) != e10
| op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( ~ epred1_0
| op1(e11,e10) = e11
| op1(e11,e11) != e10
| op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( ~ epred1_0
| op1(e11,e10) = e11
| op1(e11,e11) != e10
| op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& ( ~ epred1_0
| op1(e11,e10) = e11
| op1(e11,e11) != e10
| op1(e11,op1(e11,e13)) = e13 )
& ( ~ epred1_0
| op1(e11,e10) = e11
| op1(e11,e11) != e10
| op1(e11,op1(e11,e12)) = e12 )
& ( ~ epred1_0
| op1(e11,e10) = e11
| op1(e11,e11) != e10
| op1(e11,op1(e11,e11)) = e11 )
& ( ~ epred1_0
| op1(e11,e10) = e11
| op1(e11,e11) != e10
| op1(e11,op1(e11,e10)) = e10 )
& ( ~ epred1_0
| op1(e10,e10) = e10
| op1(e10,e10) != e10
| op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( ~ epred1_0
| op1(e10,e10) = e10
| op1(e10,e10) != e10
| op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( ~ epred1_0
| op1(e10,e10) = e10
| op1(e10,e10) != e10
| op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( ~ epred1_0
| op1(e10,e10) = e10
| op1(e10,e10) != e10
| op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& ( ~ epred1_0
| op1(e10,e10) = e10
| op1(e10,e10) != e10
| op1(e11,op1(e11,e13)) = e13 )
& ( ~ epred1_0
| op1(e10,e10) = e10
| op1(e10,e10) != e10
| op1(e11,op1(e11,e12)) = e12 )
& ( ~ epred1_0
| op1(e10,e10) = e10
| op1(e10,e10) != e10
| op1(e11,op1(e11,e11)) = e11 )
& ( ~ epred1_0
| op1(e10,e10) = e10
| op1(e10,e10) != e10
| op1(e11,op1(e11,e10)) = e10 )
& ( ~ epred1_0
| op1(e10,op1(e10,e13)) = e13
| op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( ~ epred1_0
| op1(e10,op1(e10,e13)) = e13
| op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( ~ epred1_0
| op1(e10,op1(e10,e13)) = e13
| op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( ~ epred1_0
| op1(e10,op1(e10,e13)) = e13
| op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& ( ~ epred1_0
| op1(e10,op1(e10,e13)) = e13
| op1(e11,op1(e11,e13)) = e13 )
& ( ~ epred1_0
| op1(e10,op1(e10,e13)) = e13
| op1(e11,op1(e11,e12)) = e12 )
& ( ~ epred1_0
| op1(e10,op1(e10,e13)) = e13
| op1(e11,op1(e11,e11)) = e11 )
& ( ~ epred1_0
| op1(e10,op1(e10,e13)) = e13
| op1(e11,op1(e11,e10)) = e10 )
& ( ~ epred1_0
| op1(e10,op1(e10,e12)) = e12
| op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( ~ epred1_0
| op1(e10,op1(e10,e12)) = e12
| op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( ~ epred1_0
| op1(e10,op1(e10,e12)) = e12
| op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( ~ epred1_0
| op1(e10,op1(e10,e12)) = e12
| op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& ( ~ epred1_0
| op1(e10,op1(e10,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( ~ epred1_0
| op1(e10,op1(e10,e12)) = e12
| op1(e11,op1(e11,e12)) = e12 )
& ( ~ epred1_0
| op1(e10,op1(e10,e12)) = e12
| op1(e11,op1(e11,e11)) = e11 )
& ( ~ epred1_0
| op1(e10,op1(e10,e12)) = e12
| op1(e11,op1(e11,e10)) = e10 )
& ( ~ epred1_0
| op1(e10,op1(e10,e11)) = e11
| op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( ~ epred1_0
| op1(e10,op1(e10,e11)) = e11
| op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( ~ epred1_0
| op1(e10,op1(e10,e11)) = e11
| op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( ~ epred1_0
| op1(e10,op1(e10,e11)) = e11
| op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& ( ~ epred1_0
| op1(e10,op1(e10,e11)) = e11
| op1(e11,op1(e11,e13)) = e13 )
& ( ~ epred1_0
| op1(e10,op1(e10,e11)) = e11
| op1(e11,op1(e11,e12)) = e12 )
& ( ~ epred1_0
| op1(e10,op1(e10,e11)) = e11
| op1(e11,op1(e11,e11)) = e11 )
& ( ~ epred1_0
| op1(e10,op1(e10,e11)) = e11
| op1(e11,op1(e11,e10)) = e10 )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) = e10
| op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) = e10
| op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) = e10
| op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) = e10
| op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) = e10
| op1(e11,op1(e11,e13)) = e13 )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) = e10
| op1(e11,op1(e11,e12)) = e12 )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) = e10
| op1(e11,op1(e11,e11)) = e11 )
& ( ~ epred1_0
| op1(e10,op1(e10,e10)) = e10
| op1(e11,op1(e11,e10)) = e10 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_300])])]) ).
cnf(c_0_319,plain,
op1(e10,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_320,plain,
( op1(e12,e11) = e13
| op1(e12,e12) = e13 ),
inference(sr,[status(thm)],[c_0_301,c_0_302]) ).
cnf(c_0_321,plain,
e11 != e13,
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_322,plain,
( ~ epred3_0
| op1(e13,e11) != e13
| op1(e10,e13) = e12 ),
inference(spm,[status(thm)],[c_0_57,c_0_303]) ).
cnf(c_0_323,plain,
( ~ epred3_0
| epred1_0
| op1(e13,e11) = e13 ),
inference(spm,[status(thm)],[c_0_304,c_0_305]) ).
cnf(c_0_324,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_325,plain,
op1(e12,e12) != e10,
inference(rw,[status(thm)],[c_0_306,c_0_91]) ).
cnf(c_0_326,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_327,plain,
op2(e21,e23) != e20,
inference(rw,[status(thm)],[c_0_307,c_0_125]) ).
cnf(c_0_328,plain,
op2(e22,e20) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_329,plain,
op2(e22,e20) = e20,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_308,c_0_255]),c_0_309]) ).
cnf(c_0_330,plain,
( op2(e20,e23) != e20
| epred11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_310,c_0_311])]) ).
cnf(c_0_331,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_312,c_0_134]),c_0_172]) ).
cnf(c_0_332,plain,
( ~ epred11_0
| op2(e20,e22) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_313,c_0_314]),c_0_150]),c_0_315]) ).
cnf(c_0_333,plain,
( op1(e12,e11) = e12
| op1(e12,e13) = e12 ),
inference(sr,[status(thm)],[c_0_316,c_0_317]) ).
cnf(c_0_334,plain,
( ~ epred1_0
| op1(e13,e13) != e10
| op1(e12,e12) != e11
| op1(e13,e10) = e13
| op1(e12,e11) = e12 ),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_335,plain,
op1(e13,e10) != e13,
inference(rw,[status(thm)],[c_0_319,c_0_25]) ).
cnf(c_0_336,plain,
( epred1_0
| op1(e12,e11) = e13
| op1(e10,e11) = e12 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_268]),c_0_321]) ).
cnf(c_0_337,plain,
( ~ epred3_0
| epred1_0
| op1(e10,e13) = e12 ),
inference(spm,[status(thm)],[c_0_322,c_0_323]) ).
cnf(c_0_338,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11 ),
inference(sr,[status(thm)],[c_0_324,c_0_325]) ).
cnf(c_0_339,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_340,plain,
op1(e10,e12) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_341,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_342,plain,
e22 != e23,
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_343,plain,
( op2(e20,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(sr,[status(thm)],[c_0_326,c_0_327]) ).
cnf(c_0_344,plain,
op2(e22,e23) != e20,
inference(rw,[status(thm)],[c_0_328,c_0_329]) ).
cnf(c_0_345,plain,
op2(e20,e22) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_346,plain,
op2(e20,e22) = e20,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_331]),c_0_332]) ).
cnf(c_0_347,plain,
op1(e10,e11) != op1(e12,e11),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_348,plain,
( ~ epred3_0
| op1(e13,e12) = e13
| op1(e12,e11) = e12 ),
inference(spm,[status(thm)],[c_0_283,c_0_333]) ).
cnf(c_0_349,plain,
( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_350,plain,
( ~ epred1_0
| op1(e13,e13) != e10
| op1(e12,e12) != e11
| op1(e12,e11) = e12 ),
inference(sr,[status(thm)],[c_0_334,c_0_335]) ).
cnf(c_0_351,plain,
( epred1_0
| op1(e10,e11) = e12 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_336]),c_0_120]) ).
cnf(c_0_352,plain,
( ~ epred3_0
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_337]),c_0_182]) ).
cnf(c_0_353,plain,
op1(e12,e12) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_354,plain,
( op1(e12,e12) = e11
| op1(e12,e12) = e13 ),
inference(sr,[status(thm)],[c_0_338,c_0_317]) ).
cnf(c_0_355,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e11
| op1(e13,e12) = e10 ),
inference(sr,[status(thm)],[c_0_339,c_0_94]) ).
cnf(c_0_356,plain,
op1(e13,e12) != e10,
inference(rw,[status(thm)],[c_0_340,c_0_126]) ).
cnf(c_0_357,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_341,c_0_134]),c_0_342]) ).
cnf(c_0_358,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_359,plain,
( op2(e23,e23) = e20
| op2(e20,e23) = e20 ),
inference(sr,[status(thm)],[c_0_343,c_0_344]) ).
cnf(c_0_360,plain,
op2(e20,e23) != e20,
inference(rw,[status(thm)],[c_0_345,c_0_346]) ).
cnf(c_0_361,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_362,plain,
( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
fof(c_0_363,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_364,plain,
( epred17_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_365,plain,
( epred18_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_366,plain,
( epred19_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_367,plain,
( epred20_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_368,plain,
( ~ epred3_0
| op1(e10,e11) != e12
| op1(e13,e12) = e13 ),
inference(spm,[status(thm)],[c_0_347,c_0_348]) ).
cnf(c_0_369,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_349,c_0_73]),c_0_55]) ).
cnf(c_0_370,plain,
( ~ epred1_0
| op1(e12,e12) != e11
| op1(e12,e11) = e12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_350,c_0_229])]) ).
cnf(c_0_371,plain,
epred1_0,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_351]),c_0_182]),c_0_352]) ).
cnf(c_0_372,plain,
( op1(e13,e12) != e13
| op1(e12,e12) = e11 ),
inference(spm,[status(thm)],[c_0_353,c_0_354]) ).
cnf(c_0_373,plain,
( op1(e13,e12) = e11
| op1(e13,e12) = e13 ),
inference(sr,[status(thm)],[c_0_355,c_0_356]) ).
cnf(c_0_374,plain,
( ~ epred12_0
| epred11_0
| op2(e20,e21) = e21
| op2(e21,e21) = e21 ),
inference(split_conjunct,[status(thm)],[c_0_250]) ).
cnf(c_0_375,plain,
op2(e20,e23) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_376,plain,
( op2(e20,e21) = e22
| op2(e20,e23) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_357,c_0_346]),c_0_315]) ).
cnf(c_0_377,plain,
( op2(e21,e20) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_358,c_0_125]),c_0_315]) ).
cnf(c_0_378,plain,
( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_379,plain,
( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_380,plain,
( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_381,plain,
op2(e20,e20) != op2(e20,e22),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_382,plain,
op2(e23,e23) = e20,
inference(sr,[status(thm)],[c_0_359,c_0_360]) ).
cnf(c_0_383,plain,
( op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(sr,[status(thm)],[c_0_361,c_0_188]) ).
cnf(c_0_384,plain,
( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e20,e23) = e21 ),
inference(sr,[status(thm)],[c_0_362,c_0_273]) ).
fof(c_0_385,negated_conjecture,
~ ( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& epred20_0 )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& epred19_0 )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& epred18_0 )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& epred17_0 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_363,c_0_364]),c_0_365]),c_0_366]),c_0_367]) ).
cnf(c_0_386,plain,
( op1(e13,e12) = e13
| op1(e10,e11) = e11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_369]),c_0_180]) ).
cnf(c_0_387,plain,
( op1(e13,e12) != e13
| op1(e12,e11) = e13 ),
inference(spm,[status(thm)],[c_0_353,c_0_320]) ).
cnf(c_0_388,plain,
( op1(e12,e12) != e11
| op1(e12,e11) = e12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_370,c_0_371])]) ).
cnf(c_0_389,plain,
( op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(spm,[status(thm)],[c_0_372,c_0_373]) ).
cnf(c_0_390,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_391,plain,
( ~ epred12_0
| epred11_0
| op2(e20,e21) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_374,c_0_125]),c_0_271]) ).
cnf(c_0_392,plain,
( op2(e21,e23) != e22
| op2(e20,e21) = e22 ),
inference(spm,[status(thm)],[c_0_375,c_0_376]) ).
cnf(c_0_393,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22 ),
inference(sr,[status(thm)],[c_0_377,c_0_190]) ).
cnf(c_0_394,plain,
( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11 ),
inference(sr,[status(thm)],[c_0_378,c_0_184]) ).
cnf(c_0_395,plain,
( op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
inference(sr,[status(thm)],[c_0_379,c_0_335]) ).
cnf(c_0_396,plain,
op2(e20,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_397,plain,
op2(e21,e23) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_398,plain,
( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21 ),
inference(sr,[status(thm)],[c_0_380,c_0_344]) ).
cnf(c_0_399,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_400,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_401,plain,
op2(e20,e22) != e23,
inference(rw,[status(thm)],[c_0_381,c_0_134]) ).
cnf(c_0_402,plain,
( op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_383]),c_0_172]) ).
cnf(c_0_403,plain,
( op2(e22,e23) = e21
| op2(e20,e23) = e21 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_384]),c_0_271]) ).
fof(c_0_404,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)) )
=> epred18_0 ),
inference(split_equiv,[status(thm)],[c_0_365]) ).
cnf(c_0_405,plain,
h2(e12) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)),
inference(split_conjunct,[status(thm)],[ax15]) ).
fof(c_0_406,negated_conjecture,
( ( ~ epred20_0
| h4(e13) != e23 )
& ( ~ epred20_0
| h4(e12) != e23 )
& ( ~ epred20_0
| h4(e11) != e23 )
& ( ~ epred20_0
| h4(e10) != e23 )
& ( ~ epred19_0
| h3(e13) != e23 )
& ( ~ epred19_0
| h3(e12) != e23 )
& ( ~ epred19_0
| h3(e11) != e23 )
& ( ~ epred19_0
| h3(e10) != e23 )
& ( ~ epred18_0
| h2(e13) != e23 )
& ( ~ epred18_0
| h2(e12) != e23 )
& ( ~ epred18_0
| h2(e11) != e23 )
& ( ~ epred18_0
| h2(e10) != e23 )
& ( ~ epred17_0
| h1(e13) != e23 )
& ( ~ epred17_0
| h1(e12) != e23 )
& ( ~ epred17_0
| h1(e11) != e23 )
& ( ~ epred17_0
| h1(e10) != e23 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_385])])]) ).
cnf(c_0_407,plain,
h2(e13) = op2(op2(e21,e21),op2(e21,e21)),
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_408,plain,
( op1(e12,e12) = e11
| op1(e10,e11) = e11 ),
inference(spm,[status(thm)],[c_0_372,c_0_386]) ).
cnf(c_0_409,plain,
( op1(e12,e11) = e13
| op1(e13,e12) = e11 ),
inference(spm,[status(thm)],[c_0_387,c_0_373]) ).
cnf(c_0_410,plain,
( op1(e12,e11) = e12
| op1(e13,e12) = e11 ),
inference(spm,[status(thm)],[c_0_388,c_0_389]) ).
cnf(c_0_411,plain,
( ~ epred11_0
| op2(e22,e22) != e22
| epred10_0
| op2(e23,e20) = e20 ),
inference(split_conjunct,[status(thm)],[c_0_296]) ).
cnf(c_0_412,plain,
( op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(sr,[status(thm)],[c_0_390,c_0_258]) ).
cnf(c_0_413,plain,
( epred11_0
| op2(e20,e21) = e21 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_391,c_0_311])]) ).
cnf(c_0_414,plain,
( op2(e20,e21) = e22
| op2(e21,e22) = e22 ),
inference(spm,[status(thm)],[c_0_392,c_0_393]) ).
cnf(c_0_415,plain,
e21 != e22,
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_416,plain,
( op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(sr,[status(thm)],[c_0_394,c_0_302]) ).
cnf(c_0_417,plain,
( op1(e13,e12) = e13
| op1(e13,e11) = e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_395,c_0_229]),c_0_56]) ).
cnf(c_0_418,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_419,plain,
op2(e20,e22) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_420,plain,
( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_421,plain,
op2(e23,e20) != e23,
inference(rw,[status(thm)],[c_0_396,c_0_134]) ).
cnf(c_0_422,plain,
( op2(e21,e23) != e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21 ),
inference(spm,[status(thm)],[c_0_397,c_0_398]) ).
cnf(c_0_423,plain,
( op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_399,c_0_125]),c_0_165]),c_0_172]) ).
cnf(c_0_424,plain,
( op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 ),
inference(sr,[status(thm)],[c_0_400,c_0_401]) ).
cnf(c_0_425,plain,
op2(e20,e21) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_426,plain,
( op2(e21,e23) = e23
| op2(e20,e23) = e21 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_403]),c_0_215]) ).
cnf(c_0_427,plain,
op2(e23,e20) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
fof(c_0_428,plain,
( ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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 )
& ( epred18_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_404])])]) ).
cnf(c_0_429,plain,
h2(e12) = op2(e23,e20),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_405,c_0_125]),c_0_125]),c_0_134]),c_0_125]) ).
cnf(c_0_430,negated_conjecture,
( ~ epred18_0
| h2(e13) != e23 ),
inference(split_conjunct,[status(thm)],[c_0_406]) ).
cnf(c_0_431,plain,
h2(e13) = e23,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_407,c_0_125]),c_0_125]),c_0_134]) ).
cnf(c_0_432,plain,
( op1(e13,e12) != e11
| op1(e10,e11) = e11 ),
inference(spm,[status(thm)],[c_0_353,c_0_408]) ).
cnf(c_0_433,plain,
op1(e13,e12) = e11,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_410]),c_0_120]) ).
cnf(c_0_434,plain,
( ~ epred11_0
| op2(e22,e22) != e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_411,c_0_314]),c_0_150]),c_0_315]) ).
cnf(c_0_435,plain,
( op2(e21,e22) = e22
| op2(e22,e22) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_412,c_0_346]),c_0_315]) ).
cnf(c_0_436,plain,
( epred11_0
| op2(e21,e22) = e22 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_414]),c_0_415]) ).
cnf(c_0_437,plain,
( op1(e12,e11) != e12
| op1(e12,e13) = e11 ),
inference(spm,[status(thm)],[c_0_52,c_0_416]) ).
cnf(c_0_438,plain,
( op1(e12,e12) = e11
| op1(e13,e11) = e13 ),
inference(spm,[status(thm)],[c_0_372,c_0_417]) ).
cnf(c_0_439,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e21
| op2(e23,e22) = e20 ),
inference(sr,[status(thm)],[c_0_418,c_0_258]) ).
cnf(c_0_440,plain,
op2(e23,e22) != e20,
inference(rw,[status(thm)],[c_0_419,c_0_346]) ).
cnf(c_0_441,plain,
( op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(sr,[status(thm)],[c_0_420,c_0_421]) ).
cnf(c_0_442,plain,
( op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e21,e22) = e23 ),
inference(spm,[status(thm)],[c_0_422,c_0_423]) ).
cnf(c_0_443,plain,
( op2(e23,e21) != e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23 ),
inference(spm,[status(thm)],[c_0_167,c_0_424]) ).
cnf(c_0_444,plain,
( op2(e20,e21) != e21
| op2(e21,e23) = e23 ),
inference(spm,[status(thm)],[c_0_425,c_0_426]) ).
cnf(c_0_445,plain,
( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_446,plain,
op2(e23,e23) != e22,
inference(rw,[status(thm)],[c_0_427,c_0_150]) ).
cnf(c_0_447,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(e11) != e21
| h2(e12) != e22
| epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_428]) ).
cnf(c_0_448,plain,
h2(e10) = op2(e21,e21),
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_449,plain,
h2(e11) = e21,
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_450,plain,
h2(e12) = e22,
inference(rw,[status(thm)],[c_0_429,c_0_150]) ).
cnf(c_0_451,negated_conjecture,
~ epred18_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_430,c_0_431])]) ).
cnf(c_0_452,plain,
op1(e10,e11) = e11,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_432,c_0_433])]) ).
cnf(c_0_453,plain,
op2(e21,e22) = e22,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_435]),c_0_436]) ).
cnf(c_0_454,plain,
( op1(e12,e13) = e11
| op1(e10,e11) = e12 ),
inference(spm,[status(thm)],[c_0_437,c_0_248]) ).
cnf(c_0_455,plain,
( op1(e13,e12) != e11
| op1(e13,e11) = e13 ),
inference(spm,[status(thm)],[c_0_353,c_0_438]) ).
cnf(c_0_456,plain,
op2(e22,e22) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_457,plain,
( op2(e23,e22) = e21
| op2(e23,e22) = e23 ),
inference(sr,[status(thm)],[c_0_439,c_0_440]) ).
cnf(c_0_458,plain,
( op2(e23,e21) = e23
| op2(e23,e22) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_441]),c_0_172]) ).
cnf(c_0_459,plain,
( op2(e22,e21) != e22
| op2(e21,e22) = e23
| op2(e22,e23) = e21 ),
inference(spm,[status(thm)],[c_0_195,c_0_442]) ).
cnf(c_0_460,plain,
op2(e20,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_461,plain,
( op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e23,e21) = e21 ),
inference(spm,[status(thm)],[c_0_443,c_0_192]) ).
cnf(c_0_462,plain,
op2(e21,e22) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_463,plain,
( epred11_0
| op2(e21,e23) = e23 ),
inference(spm,[status(thm)],[c_0_444,c_0_413]) ).
cnf(c_0_464,plain,
( op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(sr,[status(thm)],[c_0_445,c_0_446]) ).
cnf(c_0_465,plain,
( h2(op1(e13,e13)) != op2(e23,e23)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != op2(e22,e22)
| h2(op1(e12,e11)) != op2(e22,e21)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_447,c_0_448]),c_0_125]),c_0_449]),c_0_450]),c_0_448]),c_0_125]),c_0_448]),c_0_125]),c_0_134]),c_0_25]),c_0_431]),c_0_448]),c_0_125]),c_0_449]),c_0_448]),c_0_125]),c_0_450]),c_0_448]),c_0_125]),c_0_431]),c_0_449]),c_0_448]),c_0_125]),c_0_212]),c_0_67]),c_0_449]),c_0_449]),c_0_449]),c_0_125]),c_0_20]),c_0_448]),c_0_125]),c_0_449]),c_0_450]),c_0_449]),c_0_431]),c_0_450]),c_0_448]),c_0_125]),c_0_329]),c_0_91]),c_0_448]),c_0_125]),c_0_450]),c_0_449]),c_0_450]),c_0_450]),c_0_450]),c_0_431]),c_0_431]),c_0_448]),c_0_125]),c_0_150]),c_0_38]),c_0_450]),c_0_431]),c_0_449]),c_0_431]),c_0_450]),c_0_431]),c_0_431])]),c_0_451]) ).
cnf(c_0_466,plain,
op1(e10,e13) = e12,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_452]),c_0_182]) ).
cnf(c_0_467,plain,
op2(e21,e23) = e23,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_423,c_0_453]),c_0_342]) ).
cnf(c_0_468,plain,
op1(e12,e11) = e12,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_248,c_0_452]),c_0_182]) ).
cnf(c_0_469,plain,
op1(e12,e12) = e13,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_263,c_0_433]),c_0_321]) ).
cnf(c_0_470,plain,
op1(e12,e13) = e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_454,c_0_452]),c_0_182]) ).
cnf(c_0_471,plain,
op1(e13,e11) = e13,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_455,c_0_433])]) ).
cnf(c_0_472,plain,
( op2(e22,e22) != e23
| op2(e23,e22) = e21 ),
inference(spm,[status(thm)],[c_0_456,c_0_457]) ).
cnf(c_0_473,plain,
( op2(e22,e22) != e23
| op2(e23,e21) = e23 ),
inference(spm,[status(thm)],[c_0_456,c_0_458]) ).
cnf(c_0_474,plain,
( op2(e22,e21) != e22
| op2(e22,e23) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_459,c_0_453]),c_0_342]) ).
cnf(c_0_475,plain,
( op2(e20,e21) != e21
| op2(e21,e22) = e23
| op2(e22,e22) = e23 ),
inference(spm,[status(thm)],[c_0_460,c_0_461]) ).
cnf(c_0_476,plain,
( op2(e21,e22) != e23
| epred11_0 ),
inference(spm,[status(thm)],[c_0_462,c_0_463]) ).
cnf(c_0_477,plain,
( op2(e22,e21) != e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(spm,[status(thm)],[c_0_195,c_0_464]) ).
cnf(c_0_478,plain,
( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_479,plain,
( op2(e22,e22) != e23
| op2(e22,e21) != e22
| op2(e20,e23) != e22
| op2(e20,e21) != e21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_465,c_0_452]),c_0_449]),c_0_126]),c_0_448]),c_0_125]),c_0_346]),c_0_466]),c_0_450]),c_0_243]),c_0_450]),c_0_453]),c_0_222]),c_0_431]),c_0_467]),c_0_468]),c_0_450]),c_0_469]),c_0_431]),c_0_470]),c_0_449]),c_0_471]),c_0_431]),c_0_433]),c_0_449]),c_0_229]),c_0_448]),c_0_125]),c_0_382])]),c_0_472]),c_0_473]),c_0_474]) ).
cnf(c_0_480,plain,
( epred11_0
| op2(e22,e22) = e23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_413]),c_0_476]) ).
cnf(c_0_481,plain,
( op2(e22,e21) != e22
| op2(e20,e23) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_477,c_0_467]),c_0_342]) ).
cnf(c_0_482,plain,
( op2(e20,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_478,c_0_125]),c_0_315]) ).
cnf(c_0_483,plain,
( op2(e22,e21) != e22
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_413]),c_0_480]),c_0_481]) ).
cnf(c_0_484,plain,
( op2(e22,e21) = e22
| op2(e20,e21) = e22 ),
inference(sr,[status(thm)],[c_0_482,c_0_170]) ).
cnf(c_0_485,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_486,plain,
( ~ epred11_0
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| epred10_0
| op2(e20,e23) = e20 ),
inference(split_conjunct,[status(thm)],[c_0_296]) ).
cnf(c_0_487,plain,
( epred11_0
| op2(e20,e21) = e22 ),
inference(spm,[status(thm)],[c_0_483,c_0_484]) ).
cnf(c_0_488,plain,
( op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 ),
inference(sr,[status(thm)],[c_0_485,c_0_290]) ).
cnf(c_0_489,plain,
( ~ epred11_0
| op2(e22,e23) != e22
| op2(e22,e22) != e23 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_486,c_0_360]),c_0_314]) ).
cnf(c_0_490,plain,
epred11_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_487]),c_0_415]) ).
cnf(c_0_491,plain,
( op2(e21,e23) != e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23 ),
inference(spm,[status(thm)],[c_0_397,c_0_488]) ).
cnf(c_0_492,plain,
( op2(e22,e23) != e22
| op2(e22,e22) != e23 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_489,c_0_490])]) ).
cnf(c_0_493,plain,
( op2(e22,e22) = e23
| op2(e22,e21) = e23 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_491,c_0_467])]) ).
cnf(c_0_494,plain,
( epred9_0
| op2(e22,op2(e22,e23)) = e23
| op2(e23,op2(e23,e23)) = e23 ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
fof(c_0_495,plain,
( epred9_0
=> ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& op2(e21,op2(e21,e23)) = e23
& op2(e21,op2(e21,e22)) = e22
& op2(e21,op2(e21,e21)) = e21
& op2(e21,op2(e21,e20)) = e20 )
| ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& op2(e20,op2(e20,e23)) = e23
& op2(e20,op2(e20,e22)) = e22
& op2(e20,op2(e20,e21)) = e21
& op2(e20,op2(e20,e20)) = e20 ) ) ),
inference(split_equiv,[status(thm)],[c_0_114]) ).
cnf(c_0_496,plain,
( op2(e22,e23) != e22
| op2(e22,e21) = e23 ),
inference(spm,[status(thm)],[c_0_492,c_0_493]) ).
cnf(c_0_497,plain,
( op2(e22,e23) = e22
| op2(e22,e23) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_442,c_0_453]),c_0_342]) ).
cnf(c_0_498,plain,
op2(e22,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_499,plain,
( epred9_0
| op2(e22,op2(e22,e23)) = e23 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_494,c_0_382]),c_0_150]),c_0_342]) ).
cnf(c_0_500,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
fof(c_0_501,plain,
( ( ~ epred9_0
| op2(e23,e20) = e23
| op2(e23,e23) != e20
| op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( ~ epred9_0
| op2(e23,e20) = e23
| op2(e23,e23) != e20
| op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( ~ epred9_0
| op2(e23,e20) = e23
| op2(e23,e23) != e20
| op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( ~ epred9_0
| op2(e23,e20) = e23
| op2(e23,e23) != e20
| op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& ( ~ epred9_0
| op2(e23,e20) = e23
| op2(e23,e23) != e20
| op2(e21,op2(e21,e23)) = e23 )
& ( ~ epred9_0
| op2(e23,e20) = e23
| op2(e23,e23) != e20
| op2(e21,op2(e21,e22)) = e22 )
& ( ~ epred9_0
| op2(e23,e20) = e23
| op2(e23,e23) != e20
| op2(e21,op2(e21,e21)) = e21 )
& ( ~ epred9_0
| op2(e23,e20) = e23
| op2(e23,e23) != e20
| op2(e21,op2(e21,e20)) = e20 )
& ( ~ epred9_0
| op2(e22,e20) = e22
| op2(e22,e22) != e20
| op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( ~ epred9_0
| op2(e22,e20) = e22
| op2(e22,e22) != e20
| op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( ~ epred9_0
| op2(e22,e20) = e22
| op2(e22,e22) != e20
| op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( ~ epred9_0
| op2(e22,e20) = e22
| op2(e22,e22) != e20
| op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& ( ~ epred9_0
| op2(e22,e20) = e22
| op2(e22,e22) != e20
| op2(e21,op2(e21,e23)) = e23 )
& ( ~ epred9_0
| op2(e22,e20) = e22
| op2(e22,e22) != e20
| op2(e21,op2(e21,e22)) = e22 )
& ( ~ epred9_0
| op2(e22,e20) = e22
| op2(e22,e22) != e20
| op2(e21,op2(e21,e21)) = e21 )
& ( ~ epred9_0
| op2(e22,e20) = e22
| op2(e22,e22) != e20
| op2(e21,op2(e21,e20)) = e20 )
& ( ~ epred9_0
| op2(e21,e20) = e21
| op2(e21,e21) != e20
| op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( ~ epred9_0
| op2(e21,e20) = e21
| op2(e21,e21) != e20
| op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( ~ epred9_0
| op2(e21,e20) = e21
| op2(e21,e21) != e20
| op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( ~ epred9_0
| op2(e21,e20) = e21
| op2(e21,e21) != e20
| op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& ( ~ epred9_0
| op2(e21,e20) = e21
| op2(e21,e21) != e20
| op2(e21,op2(e21,e23)) = e23 )
& ( ~ epred9_0
| op2(e21,e20) = e21
| op2(e21,e21) != e20
| op2(e21,op2(e21,e22)) = e22 )
& ( ~ epred9_0
| op2(e21,e20) = e21
| op2(e21,e21) != e20
| op2(e21,op2(e21,e21)) = e21 )
& ( ~ epred9_0
| op2(e21,e20) = e21
| op2(e21,e21) != e20
| op2(e21,op2(e21,e20)) = e20 )
& ( ~ epred9_0
| op2(e20,e20) = e20
| op2(e20,e20) != e20
| op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( ~ epred9_0
| op2(e20,e20) = e20
| op2(e20,e20) != e20
| op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( ~ epred9_0
| op2(e20,e20) = e20
| op2(e20,e20) != e20
| op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( ~ epred9_0
| op2(e20,e20) = e20
| op2(e20,e20) != e20
| op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& ( ~ epred9_0
| op2(e20,e20) = e20
| op2(e20,e20) != e20
| op2(e21,op2(e21,e23)) = e23 )
& ( ~ epred9_0
| op2(e20,e20) = e20
| op2(e20,e20) != e20
| op2(e21,op2(e21,e22)) = e22 )
& ( ~ epred9_0
| op2(e20,e20) = e20
| op2(e20,e20) != e20
| op2(e21,op2(e21,e21)) = e21 )
& ( ~ epred9_0
| op2(e20,e20) = e20
| op2(e20,e20) != e20
| op2(e21,op2(e21,e20)) = e20 )
& ( ~ epred9_0
| op2(e20,op2(e20,e23)) = e23
| op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( ~ epred9_0
| op2(e20,op2(e20,e23)) = e23
| op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( ~ epred9_0
| op2(e20,op2(e20,e23)) = e23
| op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( ~ epred9_0
| op2(e20,op2(e20,e23)) = e23
| op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& ( ~ epred9_0
| op2(e20,op2(e20,e23)) = e23
| op2(e21,op2(e21,e23)) = e23 )
& ( ~ epred9_0
| op2(e20,op2(e20,e23)) = e23
| op2(e21,op2(e21,e22)) = e22 )
& ( ~ epred9_0
| op2(e20,op2(e20,e23)) = e23
| op2(e21,op2(e21,e21)) = e21 )
& ( ~ epred9_0
| op2(e20,op2(e20,e23)) = e23
| op2(e21,op2(e21,e20)) = e20 )
& ( ~ epred9_0
| op2(e20,op2(e20,e22)) = e22
| op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( ~ epred9_0
| op2(e20,op2(e20,e22)) = e22
| op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( ~ epred9_0
| op2(e20,op2(e20,e22)) = e22
| op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( ~ epred9_0
| op2(e20,op2(e20,e22)) = e22
| op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& ( ~ epred9_0
| op2(e20,op2(e20,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( ~ epred9_0
| op2(e20,op2(e20,e22)) = e22
| op2(e21,op2(e21,e22)) = e22 )
& ( ~ epred9_0
| op2(e20,op2(e20,e22)) = e22
| op2(e21,op2(e21,e21)) = e21 )
& ( ~ epred9_0
| op2(e20,op2(e20,e22)) = e22
| op2(e21,op2(e21,e20)) = e20 )
& ( ~ epred9_0
| op2(e20,op2(e20,e21)) = e21
| op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( ~ epred9_0
| op2(e20,op2(e20,e21)) = e21
| op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( ~ epred9_0
| op2(e20,op2(e20,e21)) = e21
| op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( ~ epred9_0
| op2(e20,op2(e20,e21)) = e21
| op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& ( ~ epred9_0
| op2(e20,op2(e20,e21)) = e21
| op2(e21,op2(e21,e23)) = e23 )
& ( ~ epred9_0
| op2(e20,op2(e20,e21)) = e21
| op2(e21,op2(e21,e22)) = e22 )
& ( ~ epred9_0
| op2(e20,op2(e20,e21)) = e21
| op2(e21,op2(e21,e21)) = e21 )
& ( ~ epred9_0
| op2(e20,op2(e20,e21)) = e21
| op2(e21,op2(e21,e20)) = e20 )
& ( ~ epred9_0
| op2(e20,op2(e20,e20)) = e20
| op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( ~ epred9_0
| op2(e20,op2(e20,e20)) = e20
| op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( ~ epred9_0
| op2(e20,op2(e20,e20)) = e20
| op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( ~ epred9_0
| op2(e20,op2(e20,e20)) = e20
| op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& ( ~ epred9_0
| op2(e20,op2(e20,e20)) = e20
| op2(e21,op2(e21,e23)) = e23 )
& ( ~ epred9_0
| op2(e20,op2(e20,e20)) = e20
| op2(e21,op2(e21,e22)) = e22 )
& ( ~ epred9_0
| op2(e20,op2(e20,e20)) = e20
| op2(e21,op2(e21,e21)) = e21 )
& ( ~ epred9_0
| op2(e20,op2(e20,e20)) = e20
| op2(e21,op2(e21,e20)) = e20 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_495])])]) ).
cnf(c_0_502,plain,
( epred9_0
| op2(e22,op2(e22,e21)) = e21
| op2(e23,op2(e23,e23)) = e23 ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_503,plain,
( op2(e22,e21) = e23
| op2(e22,e23) = e21 ),
inference(spm,[status(thm)],[c_0_496,c_0_497]) ).
cnf(c_0_504,plain,
( op2(e22,e21) != e23
| op2(e23,e21) = e21 ),
inference(spm,[status(thm)],[c_0_498,c_0_192]) ).
cnf(c_0_505,plain,
( epred9_0
| op2(e22,e21) = e23
| op2(e20,e23) = e21 ),
inference(spm,[status(thm)],[c_0_499,c_0_403]) ).
cnf(c_0_506,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_500,c_0_134]),c_0_215]) ).
cnf(c_0_507,plain,
( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_508,plain,
( ~ epred9_0
| op2(e23,e23) != e20
| op2(e22,e22) != e21
| op2(e23,e20) = e23
| op2(e22,e21) = e22 ),
inference(split_conjunct,[status(thm)],[c_0_501]) ).
cnf(c_0_509,plain,
( epred9_0
| op2(e22,op2(e22,e21)) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_502,c_0_382]),c_0_150]),c_0_342]) ).
cnf(c_0_510,plain,
( epred9_0
| op2(e22,e21) = e23 ),
inference(spm,[status(thm)],[c_0_499,c_0_503]) ).
cnf(c_0_511,plain,
( epred9_0
| op2(e23,e21) = e21
| op2(e20,e23) = e21 ),
inference(spm,[status(thm)],[c_0_504,c_0_505]) ).
cnf(c_0_512,plain,
( op2(e20,e21) = e21
| op2(e20,e23) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_506,c_0_346]),c_0_271]) ).
cnf(c_0_513,plain,
( ~ epred11_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| epred10_0
| op2(e20,e23) = e20 ),
inference(split_conjunct,[status(thm)],[c_0_296]) ).
cnf(c_0_514,plain,
op2(e21,e23) != e22,
inference(rw,[status(thm)],[c_0_462,c_0_453]) ).
cnf(c_0_515,plain,
( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e20,e22) = e21 ),
inference(sr,[status(thm)],[c_0_507,c_0_274]) ).
cnf(c_0_516,plain,
( ~ epred9_0
| op2(e23,e23) != e20
| op2(e22,e22) != e21
| op2(e22,e21) = e22 ),
inference(sr,[status(thm)],[c_0_508,c_0_421]) ).
cnf(c_0_517,plain,
op2(e20,e23) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_518,plain,
( epred9_0
| op2(e22,e23) = e21 ),
inference(spm,[status(thm)],[c_0_509,c_0_510]) ).
cnf(c_0_519,plain,
( epred9_0
| op2(e20,e23) = e21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_511]),c_0_512]) ).
cnf(c_0_520,plain,
( ~ epred11_0
| op2(e22,e22) != e21
| op2(e22,e21) != e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_513,c_0_360]),c_0_314]) ).
cnf(c_0_521,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_522,plain,
( op2(e22,e23) = e22
| op2(e20,e23) = e22 ),
inference(sr,[status(thm)],[c_0_464,c_0_514]) ).
cnf(c_0_523,plain,
( op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_515,c_0_346]),c_0_271]) ).
cnf(c_0_524,plain,
( ~ epred9_0
| op2(e22,e22) != e21
| op2(e22,e21) = e22 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_516,c_0_382])]) ).
cnf(c_0_525,plain,
epred9_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_518]),c_0_519]) ).
cnf(c_0_526,plain,
( op2(e22,e22) != e21
| op2(e22,e21) != e22 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_520,c_0_490])]) ).
cnf(c_0_527,plain,
op2(e22,e20) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_528,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22 ),
inference(sr,[status(thm)],[c_0_521,c_0_188]) ).
cnf(c_0_529,plain,
( op2(e22,e21) = e23
| op2(e20,e23) = e22 ),
inference(spm,[status(thm)],[c_0_496,c_0_522]) ).
cnf(c_0_530,plain,
( op2(e23,e21) = e23
| op2(e22,e22) = e21 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_523]),c_0_215]) ).
cnf(c_0_531,plain,
op2(e22,e22) != e21,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_524,c_0_525])]),c_0_526]) ).
cnf(c_0_532,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_533,plain,
op2(e22,e22) != e20,
inference(rw,[status(thm)],[c_0_527,c_0_329]) ).
cnf(c_0_534,plain,
op2(e21,e22) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_535,plain,
( op2(e20,e23) = e22
| op2(e20,e23) = e21 ),
inference(sr,[status(thm)],[c_0_528,c_0_360]) ).
cnf(c_0_536,plain,
( op2(e23,e21) = e21
| op2(e20,e23) = e22 ),
inference(spm,[status(thm)],[c_0_504,c_0_529]) ).
cnf(c_0_537,plain,
op2(e23,e21) = e23,
inference(sr,[status(thm)],[c_0_530,c_0_531]) ).
cnf(c_0_538,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21 ),
inference(sr,[status(thm)],[c_0_532,c_0_533]) ).
cnf(c_0_539,plain,
op2(e22,e22) != e22,
inference(rw,[status(thm)],[c_0_534,c_0_453]) ).
cnf(c_0_540,plain,
( op2(e20,e21) != e22
| op2(e20,e23) = e21 ),
inference(spm,[status(thm)],[c_0_425,c_0_535]) ).
cnf(c_0_541,plain,
op2(e20,e23) = e22,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_536,c_0_537]),c_0_215]) ).
cnf(c_0_542,plain,
( op2(e22,e22) = e21
| op2(e22,e22) = e23 ),
inference(sr,[status(thm)],[c_0_538,c_0_539]) ).
cnf(c_0_543,plain,
op2(e20,e21) != e22,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_540,c_0_541]),c_0_415]) ).
cnf(c_0_544,plain,
op2(e22,e22) = e23,
inference(sr,[status(thm)],[c_0_542,c_0_531]) ).
cnf(c_0_545,plain,
op2(e20,e21) = e21,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_541]),c_0_415]) ).
cnf(c_0_546,plain,
op2(e22,e21) = e22,
inference(sr,[status(thm)],[c_0_484,c_0_543]) ).
cnf(c_0_547,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_479,c_0_544])]),c_0_545]),c_0_541]),c_0_546])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG126+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n014.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 12:57:04 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.50 Running first-order theorem proving
% 0.25/0.50 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.84 % Version: 3.5.1
% 0.67/0.84 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.67/0.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.67/0.84 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.67/0.84 % Starting new_bool_3 with 300s (1) cores
% 0.67/0.84 % Starting new_bool_1 with 300s (1) cores
% 0.67/0.84 % Starting sh5l with 300s (1) cores
% 0.67/0.84 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 4114253 completed with status 0
% 0.67/0.84 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.67/0.84 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.67/0.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.67/0.84 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.67/0.84 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.67/0.84 % No SInE strategy applied
% 0.67/0.84 % Search class: FGHSF-SMLM21-MFFFFFNN
% 0.67/0.84 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.67/0.84 % Starting SubtermCWHack with 136s (1) cores
% 0.67/0.84 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.67/0.84 % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.67/0.84 % Starting C07_19_nc_SAT001_MinMin_p005000_rr with 136s (1) cores
% 0.67/0.84 % Starting new_bool_3 with 136s (1) cores
% 0.67/0.84 % new_bool_3 with pid 4114262 completed with status 0
% 0.67/0.84 % Result found by new_bool_3
% 0.67/0.84 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.67/0.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.67/0.84 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.67/0.84 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.67/0.84 % No SInE strategy applied
% 0.67/0.84 % Search class: FGHSF-SMLM21-MFFFFFNN
% 0.67/0.84 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.67/0.84 % Starting SubtermCWHack with 136s (1) cores
% 0.67/0.84 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.67/0.84 % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.67/0.84 % Starting C07_19_nc_SAT001_MinMin_p005000_rr with 136s (1) cores
% 0.67/0.84 % Starting new_bool_3 with 136s (1) cores
% 0.67/0.84 % Preprocessing time : 0.028 s
% 0.67/0.84 % Presaturation interreduction done
% 0.67/0.84
% 0.67/0.84 % Proof found!
% 0.67/0.84 % SZS status Theorem
% 0.67/0.84 % SZS output start CNFRefutation
% See solution above
% 0.67/0.84 % Parsed axioms : 18
% 0.67/0.84 % Removed by relevancy pruning/SinE : 0
% 0.67/0.84 % Initial clauses : 1298
% 0.67/0.84 % Removed in clause preprocessing : 68
% 0.67/0.84 % Initial clauses in saturation : 1230
% 0.67/0.84 % Processed clauses : 3253
% 0.67/0.84 % ...of these trivial : 125
% 0.67/0.84 % ...subsumed : 1751
% 0.67/0.84 % ...remaining for further processing : 1376
% 0.67/0.84 % Other redundant clauses eliminated : 0
% 0.67/0.84 % Clauses deleted for lack of memory : 0
% 0.67/0.84 % Backward-subsumed : 287
% 0.67/0.84 % Backward-rewritten : 516
% 0.67/0.84 % Generated clauses : 1914
% 0.67/0.84 % ...of the previous two non-redundant : 2159
% 0.67/0.84 % ...aggressively subsumed : 0
% 0.67/0.84 % Contextual simplify-reflections : 51
% 0.67/0.84 % Paramodulations : 1808
% 0.67/0.84 % Factorizations : 26
% 0.67/0.84 % NegExts : 0
% 0.67/0.84 % Equation resolutions : 0
% 0.67/0.84 % Disequality decompositions : 0
% 0.67/0.84 % Total rewrite steps : 13649
% 0.67/0.84 % ...of those cached : 13584
% 0.67/0.84 % Propositional unsat checks : 0
% 0.67/0.84 % Propositional check models : 0
% 0.67/0.84 % Propositional check unsatisfiable : 0
% 0.67/0.84 % Propositional clauses : 0
% 0.67/0.84 % Propositional clauses after purity: 0
% 0.67/0.84 % Propositional unsat core size : 0
% 0.67/0.84 % Propositional preprocessing time : 0.000
% 0.67/0.84 % Propositional encoding time : 0.000
% 0.67/0.84 % Propositional solver time : 0.000
% 0.67/0.84 % Success case prop preproc time : 0.000
% 0.67/0.84 % Success case prop encoding time : 0.000
% 0.67/0.84 % Success case prop solver time : 0.000
% 0.67/0.84 % Current number of processed clauses : 95
% 0.67/0.84 % Positive orientable unit clauses : 61
% 0.67/0.84 % Positive unorientable unit clauses: 0
% 0.67/0.84 % Negative unit clauses : 34
% 0.67/0.84 % Non-unit-clauses : 0
% 0.67/0.84 % Current number of unprocessed clauses: 179
% 0.67/0.84 % ...number of literals in the above : 969
% 0.67/0.84 % Current number of archived formulas : 0
% 0.67/0.84 % Current number of archived clauses : 1281
% 0.67/0.84 % Clause-clause subsumption calls (NU) : 56217
% 0.67/0.84 % Rec. Clause-clause subsumption calls : 10596
% 0.67/0.84 % Non-unit clause-clause subsumptions : 565
% 0.67/0.84 % Unit Clause-clause subsumption calls : 6161
% 0.67/0.84 % Rewrite failures with RHS unbound : 0
% 0.67/0.84 % BW rewrite match attempts : 51
% 0.67/0.84 % BW rewrite match successes : 51
% 0.67/0.84 % Condensation attempts : 0
% 0.67/0.84 % Condensation successes : 0
% 0.67/0.84 % Termbank termtop insertions : 158895
% 0.67/0.84 % Search garbage collected termcells : 6749
% 0.67/0.84
% 0.67/0.84 % -------------------------------------------------
% 0.67/0.84 % User time : 0.263 s
% 0.67/0.84 % System time : 0.015 s
% 0.67/0.84 % Total time : 0.278 s
% 0.67/0.84 % Maximum resident set size: 5884 pages
% 0.67/0.84
% 0.67/0.84 % -------------------------------------------------
% 0.67/0.84 % User time : 0.938 s
% 0.67/0.84 % System time : 0.056 s
% 0.67/0.84 % Total time : 0.993 s
% 0.67/0.84 % Maximum resident set size: 5376 pages
% 0.67/0.84 % E exiting
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