TSTP Solution File: ALG123+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ALG123+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 16:48:52 EDT 2022
% Result : Theorem 0.22s 1.42s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 32
% Syntax : Number of formulae : 395 ( 130 unt; 0 def)
% Number of atoms : 6705 (5753 equ)
% Maximal formula atoms : 1280 ( 16 avg)
% Number of connectives : 10972 (4662 ~;4636 |;1641 &)
% ( 18 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 84 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax10,axiom,
( ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e12,e10) = e10
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e11) = e11
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e12) = e12
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e13) = e13
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e13,e10) = e10
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e13,e11) = e11
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e13,e12) = e12
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e13,e13) = e13
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) )
& ( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 )
& ( op1(e10,e10) != e10
| op1(e10,e10) = e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) = e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) = e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) != e13
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax10) ).
fof(ax11,axiom,
( ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e22,e20) = e20
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e21) = e21
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e22) = e22
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e23) = e23
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e23,e20) = e20
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e23,e21) = e21
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e23,e22) = e22
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e23,e23) = e23
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) )
& ( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 )
& ( op2(e20,e20) != e20
| op2(e20,e20) = e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) = e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) = e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax11) ).
fof(ax12,axiom,
( e10 = op1(e13,e13)
& e11 = op1(op1(op1(e13,e13),e13),e13)
& e12 = op1(op1(e13,e13),e13) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax12) ).
fof(ax5,axiom,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax5) ).
fof(ax13,axiom,
( e20 = op2(e23,e23)
& e21 = op2(op2(op2(e23,e23),e23),e23)
& e22 = op2(op2(e23,e23),e23) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax13) ).
fof(ax2,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax2) ).
fof(ax7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax7) ).
fof(ax6,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax6) ).
fof(ax4,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax4) ).
fof(ax8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax8) ).
fof(ax1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax1) ).
fof(ax3,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax3) ).
fof(co1,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).
fof(ax17,axiom,
( h4(e13) = e23
& h4(e10) = op2(e23,e23)
& h4(e11) = op2(op2(op2(e23,e23),e23),e23)
& h4(e12) = op2(op2(e23,e23),e23) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax17) ).
fof(c_0_14,plain,
( epred18_0
<=> ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e12,e10) = e10
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e11) = e11
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e12) = e12
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e13) = e13
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e13,e10) = e10
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e13,e11) = e11
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) ) ),
introduced(definition) ).
fof(c_0_15,axiom,
( ( epred18_0
| ( op1(e13,e12) = e12
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e13,e13) = e13
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) )
& ( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 )
& ( op1(e10,e10) != e10
| op1(e10,e10) = e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) = e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) = e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) != e13
| op1(e13,e13) = e13 ) ),
inference(apply_def,[status(thm)],[ax10,c_0_14]) ).
fof(c_0_16,plain,
( epred11_0
<=> ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e22,e20) = e20
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e21) = e21
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e22) = e22
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e23) = e23
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e23,e20) = e20
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e23,e21) = e21
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) ) ),
introduced(definition) ).
fof(c_0_17,plain,
( ( op1(e13,e13) = e13
| op1(e13,e12) = e12
| epred18_0 )
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e13,e12) = e12
| epred18_0 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11
| op1(e13,e12) = e12
| epred18_0 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e12) = e12
| epred18_0 )
& ( op1(e13,e13) != e13
| op1(e13,e12) = e12
| epred18_0 )
& ( op1(e13,e13) = e13
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| epred18_0 )
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| epred18_0 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| epred18_0 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| epred18_0 )
& ( op1(e13,e13) != e13
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| epred18_0 )
& ( op1(e13,e13) = e13
| op1(e11,e11) != e13
| op1(e11,e13) != e11
| epred18_0 )
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e11,e11) != e13
| op1(e11,e13) != e11
| epred18_0 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11
| op1(e11,e11) != e13
| op1(e11,e13) != e11
| epred18_0 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e11,e11) != e13
| op1(e11,e13) != e11
| epred18_0 )
& ( op1(e13,e13) != e13
| op1(e11,e11) != e13
| op1(e11,e13) != e11
| epred18_0 )
& ( op1(e13,e13) = e13
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| epred18_0 )
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| epred18_0 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| epred18_0 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| epred18_0 )
& ( op1(e13,e13) != e13
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| epred18_0 )
& ( op1(e13,e13) = e13
| op1(e13,e13) != e13
| epred18_0 )
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e13,e13) != e13
| epred18_0 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11
| op1(e13,e13) != e13
| epred18_0 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e13) != e13
| epred18_0 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13
| epred18_0 )
& ( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 )
& ( op1(e10,e10) != e10
| op1(e10,e10) = e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) = e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) = e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) != e13
| op1(e13,e13) = e13 ) ),
inference(distribute,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_15])]) ).
fof(c_0_18,axiom,
( ( epred11_0
| ( op2(e23,e22) = e22
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e23,e23) = e23
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) )
& ( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 )
& ( op2(e20,e20) != e20
| op2(e20,e20) = e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) = e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) = e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,e23) = e23 ) ),
inference(apply_def,[status(thm)],[ax11,c_0_16]) ).
cnf(c_0_19,plain,
e12 = op1(op1(e13,e13),e13),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_20,plain,
e10 = op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_21,plain,
( op1(e13,e10) = e13
| op1(e13,e13) != e10 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_22,plain,
( ( op2(e23,e23) = e23
| op2(e23,e22) = e22
| epred11_0 )
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e23,e22) = e22
| epred11_0 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21
| op2(e23,e22) = e22
| epred11_0 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e22) = e22
| epred11_0 )
& ( op2(e23,e23) != e23
| op2(e23,e22) = e22
| epred11_0 )
& ( op2(e23,e23) = e23
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| epred11_0 )
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| epred11_0 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| epred11_0 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| epred11_0 )
& ( op2(e23,e23) != e23
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| epred11_0 )
& ( op2(e23,e23) = e23
| op2(e21,e21) != e23
| op2(e21,e23) != e21
| epred11_0 )
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e21,e21) != e23
| op2(e21,e23) != e21
| epred11_0 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21
| op2(e21,e21) != e23
| op2(e21,e23) != e21
| epred11_0 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e21,e21) != e23
| op2(e21,e23) != e21
| epred11_0 )
& ( op2(e23,e23) != e23
| op2(e21,e21) != e23
| op2(e21,e23) != e21
| epred11_0 )
& ( op2(e23,e23) = e23
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| epred11_0 )
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| epred11_0 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| epred11_0 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| epred11_0 )
& ( op2(e23,e23) != e23
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| epred11_0 )
& ( op2(e23,e23) = e23
| op2(e23,e23) != e23
| epred11_0 )
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e23,e23) != e23
| epred11_0 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21
| op2(e23,e23) != e23
| epred11_0 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e23) != e23
| epred11_0 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23
| epred11_0 )
& ( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 )
& ( op2(e20,e20) != e20
| op2(e20,e20) = e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) = e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) = e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,e23) = e23 ) ),
inference(distribute,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_18])]) ).
cnf(c_0_23,plain,
e11 = op1(op1(op1(e13,e13),e13),e13),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_24,plain,
op1(e10,e13) = e12,
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
op1(e12,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_26,plain,
op1(e13,e10) = e13,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_20])]) ).
fof(c_0_27,plain,
( epred17_0
<=> ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e12,e10) = e10
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e11) = e11
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e12) = e12
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e13) = e13
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) ) ) ),
introduced(definition) ).
cnf(c_0_28,plain,
e22 = op2(op2(e23,e23),e23),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_29,plain,
e20 = op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_30,plain,
( op2(e23,e20) = e23
| op2(e23,e23) != e20 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,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_32,plain,
op1(e12,e13) = e11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_20]),c_0_24]) ).
cnf(c_0_33,plain,
op1(e12,e10) != e13,
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_34,plain,
e11 != e13,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_35,plain,
( op1(e12,e13) = e12
| op1(e12,e12) != e13 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_36,plain,
e11 != e12,
inference(split_conjunct,[status(thm)],[ax7]) ).
fof(c_0_37,plain,
( epred18_0
=> ( epred17_0
| ( op1(e13,e10) = e10
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e13,e11) = e11
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_14]),c_0_27]) ).
cnf(c_0_38,plain,
( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_39,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_40,plain,
e21 = op2(op2(op2(e23,e23),e23),e23),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_41,plain,
op2(e20,e23) = e22,
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_42,plain,
op2(e22,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_43,plain,
op2(e23,e20) = e23,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_29])]) ).
cnf(c_0_44,plain,
op1(e13,e12) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_45,plain,
op1(e13,e10) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_46,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_47,plain,
e12 != e13,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_48,plain,
op1(e10,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_49,plain,
( op1(e12,e12) = e13
| op1(e12,e11) = e13 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]) ).
cnf(c_0_50,plain,
op1(e12,e12) != e13,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_32]),c_0_36]) ).
fof(c_0_51,plain,
( ( op1(e13,e11) = e11
| op1(e13,e10) = e10
| epred17_0
| ~ epred18_0 )
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e13,e10) = e10
| epred17_0
| ~ epred18_0 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11
| op1(e13,e10) = e10
| epred17_0
| ~ epred18_0 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e10) = e10
| epred17_0
| ~ epred18_0 )
& ( op1(e13,e13) != e13
| op1(e13,e10) = e10
| epred17_0
| ~ epred18_0 )
& ( op1(e13,e11) = e11
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| epred17_0
| ~ epred18_0 )
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| epred17_0
| ~ epred18_0 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| epred17_0
| ~ epred18_0 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| epred17_0
| ~ epred18_0 )
& ( op1(e13,e13) != e13
| op1(e10,e10) != e13
| op1(e10,e13) != e10
| epred17_0
| ~ epred18_0 )
& ( op1(e13,e11) = e11
| op1(e11,e11) != e13
| op1(e11,e13) != e11
| epred17_0
| ~ epred18_0 )
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e11,e11) != e13
| op1(e11,e13) != e11
| epred17_0
| ~ epred18_0 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11
| op1(e11,e11) != e13
| op1(e11,e13) != e11
| epred17_0
| ~ epred18_0 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e11,e11) != e13
| op1(e11,e13) != e11
| epred17_0
| ~ epred18_0 )
& ( op1(e13,e13) != e13
| op1(e11,e11) != e13
| op1(e11,e13) != e11
| epred17_0
| ~ epred18_0 )
& ( op1(e13,e11) = e11
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| epred17_0
| ~ epred18_0 )
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| epred17_0
| ~ epred18_0 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| epred17_0
| ~ epred18_0 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| epred17_0
| ~ epred18_0 )
& ( op1(e13,e13) != e13
| op1(e12,e12) != e13
| op1(e12,e13) != e12
| epred17_0
| ~ epred18_0 )
& ( op1(e13,e11) = e11
| op1(e13,e13) != e13
| epred17_0
| ~ epred18_0 )
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e13,e13) != e13
| epred17_0
| ~ epred18_0 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11
| op1(e13,e13) != e13
| epred17_0
| ~ epred18_0 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e13,e13) != e13
| epred17_0
| ~ epred18_0 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13
| epred17_0
| ~ epred18_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_37])])]) ).
cnf(c_0_52,plain,
( epred18_0
| op1(e13,e12) = e12
| op1(e13,e13) = e13 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_53,plain,
e10 != e13,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_54,plain,
op1(e10,e11) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_55,plain,
( op1(e13,e12) = e11
| op1(e13,e11) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_26]),c_0_20]),c_0_34]),c_0_39]) ).
cnf(c_0_56,plain,
op1(e10,e11) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_57,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_58,plain,
op2(e22,e23) = e21,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_29]),c_0_41]) ).
cnf(c_0_59,plain,
op2(e22,e20) != e23,
inference(rw,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_60,plain,
e21 != e23,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_61,plain,
( op2(e22,e23) = e22
| op2(e22,e22) != e23 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_62,plain,
e21 != e22,
inference(split_conjunct,[status(thm)],[ax8]) ).
fof(c_0_63,plain,
( epred12_0
<=> ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) ) ) ),
introduced(definition) ).
fof(c_0_64,plain,
( epred16_0
<=> ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e12,e10) = e10
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e11) = e11
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) ) ) ),
introduced(definition) ).
cnf(c_0_65,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_66,plain,
op1(e13,e12) != e10,
inference(rw,[status(thm)],[c_0_44,c_0_20]) ).
cnf(c_0_67,plain,
op1(e13,e12) != e13,
inference(rw,[status(thm)],[c_0_45,c_0_26]) ).
cnf(c_0_68,plain,
op1(e12,e12) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_69,plain,
( op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_24]),c_0_47]) ).
cnf(c_0_70,plain,
op1(e10,e10) != e13,
inference(rw,[status(thm)],[c_0_48,c_0_26]) ).
cnf(c_0_71,plain,
op1(e10,e11) != op1(e12,e11),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_72,plain,
op1(e12,e11) = e13,
inference(sr,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_73,plain,
( epred17_0
| op1(e13,e10) = e10
| op1(e13,e11) = e11
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_74,plain,
( op1(e13,e12) = e12
| epred18_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_20]),c_0_53]) ).
cnf(c_0_75,plain,
( op1(e13,e12) = e11
| op1(e10,e11) != e11 ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_76,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_77,plain,
op1(e10,e11) != e12,
inference(rw,[status(thm)],[c_0_56,c_0_24]) ).
cnf(c_0_78,plain,
op2(e20,e21) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_79,plain,
( op2(e22,e22) = e23
| op2(e22,e21) = e23 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_60]) ).
cnf(c_0_80,plain,
op2(e22,e22) != e23,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_58]),c_0_62]) ).
fof(c_0_81,plain,
( epred13_0
<=> ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) ) ) ),
introduced(definition) ).
fof(c_0_82,plain,
( epred12_0
=> ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_63]) ).
fof(c_0_83,plain,
( epred17_0
=> ( epred16_0
| ( op1(e12,e12) = e12
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e13) = e13
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_27]),c_0_64]) ).
cnf(c_0_84,plain,
op1(e11,e12) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_85,plain,
( op1(e13,e12) = e12
| op1(e13,e12) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
cnf(c_0_86,plain,
( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_87,plain,
op1(e12,e12) != e11,
inference(rw,[status(thm)],[c_0_68,c_0_32]) ).
cnf(c_0_88,plain,
( op1(e10,e11) = e13
| op1(e10,e12) = e13 ),
inference(sr,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_89,plain,
op1(e10,e11) != e13,
inference(rw,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_90,plain,
( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_91,plain,
e10 != e12,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_92,plain,
( op1(e13,e11) = e11
| epred17_0
| ~ epred18_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_26]),c_0_53]) ).
cnf(c_0_93,plain,
( epred18_0
| op1(e10,e11) != e11 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_36]) ).
cnf(c_0_94,plain,
( op1(e10,e11) = e13
| op1(e10,e11) = e11
| op1(e10,e11) = e10 ),
inference(sr,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_95,plain,
( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_96,plain,
op2(e20,e21) != e22,
inference(rw,[status(thm)],[c_0_78,c_0_41]) ).
cnf(c_0_97,plain,
op2(e20,e21) != op2(e22,e21),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_98,plain,
op2(e22,e21) = e23,
inference(sr,[status(thm)],[c_0_79,c_0_80]) ).
fof(c_0_99,plain,
( epred14_0
<=> ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) ) ) ),
introduced(definition) ).
fof(c_0_100,plain,
( epred13_0
=> ( epred12_0
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_81]),c_0_63]) ).
fof(c_0_101,plain,
( ( op1(e10,e11) = e11
| op1(e10,e10) = e10
| ~ epred12_0 )
& ( op1(e10,e10) != e10
| op1(e10,e10) = e10
| ~ epred12_0 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11
| op1(e10,e10) = e10
| ~ epred12_0 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e10,e10) = e10
| ~ epred12_0 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13
| op1(e10,e10) = e10
| ~ epred12_0 )
& ( op1(e10,e11) = e11
| op1(e10,e10) != e10
| ~ epred12_0 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ epred12_0 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11
| op1(e10,e10) != e10
| ~ epred12_0 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e10,e10) != e10
| ~ epred12_0 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13
| op1(e10,e10) != e10
| ~ epred12_0 )
& ( op1(e10,e11) = e11
| op1(e11,e11) != e10
| op1(e11,e10) != e11
| ~ epred12_0 )
& ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e11,e10) != e11
| ~ epred12_0 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11
| op1(e11,e11) != e10
| op1(e11,e10) != e11
| ~ epred12_0 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e11,e11) != e10
| op1(e11,e10) != e11
| ~ epred12_0 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13
| op1(e11,e11) != e10
| op1(e11,e10) != e11
| ~ epred12_0 )
& ( op1(e10,e11) = e11
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| ~ epred12_0 )
& ( op1(e10,e10) != e10
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| ~ epred12_0 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| ~ epred12_0 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| ~ epred12_0 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| ~ epred12_0 )
& ( op1(e10,e11) = e11
| op1(e13,e13) != e10
| op1(e13,e10) != e13
| ~ epred12_0 )
& ( op1(e10,e10) != e10
| op1(e13,e13) != e10
| op1(e13,e10) != e13
| ~ epred12_0 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11
| op1(e13,e13) != e10
| op1(e13,e10) != e13
| ~ epred12_0 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e13,e13) != e10
| op1(e13,e10) != e13
| ~ epred12_0 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13
| op1(e13,e13) != e10
| op1(e13,e10) != e13
| ~ epred12_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_82])])]) ).
fof(c_0_102,plain,
( epred15_0
<=> ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) ) ) ),
introduced(definition) ).
fof(c_0_103,plain,
( ( op1(e12,e13) = e13
| op1(e12,e12) = e12
| epred16_0
| ~ epred17_0 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e12,e12) = e12
| epred16_0
| ~ epred17_0 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11
| op1(e12,e12) = e12
| epred16_0
| ~ epred17_0 )
& ( op1(e12,e12) != e12
| op1(e12,e12) = e12
| epred16_0
| ~ epred17_0 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13
| op1(e12,e12) = e12
| epred16_0
| ~ epred17_0 )
& ( op1(e12,e13) = e13
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| epred16_0
| ~ epred17_0 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| epred16_0
| ~ epred17_0 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| epred16_0
| ~ epred17_0 )
& ( op1(e12,e12) != e12
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| epred16_0
| ~ epred17_0 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| epred16_0
| ~ epred17_0 )
& ( op1(e12,e13) = e13
| op1(e11,e11) != e12
| op1(e11,e12) != e11
| epred16_0
| ~ epred17_0 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e11,e11) != e12
| op1(e11,e12) != e11
| epred16_0
| ~ epred17_0 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11
| op1(e11,e11) != e12
| op1(e11,e12) != e11
| epred16_0
| ~ epred17_0 )
& ( op1(e12,e12) != e12
| op1(e11,e11) != e12
| op1(e11,e12) != e11
| epred16_0
| ~ epred17_0 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13
| op1(e11,e11) != e12
| op1(e11,e12) != e11
| epred16_0
| ~ epred17_0 )
& ( op1(e12,e13) = e13
| op1(e12,e12) != e12
| epred16_0
| ~ epred17_0 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e12,e12) != e12
| epred16_0
| ~ epred17_0 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11
| op1(e12,e12) != e12
| epred16_0
| ~ epred17_0 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12
| epred16_0
| ~ epred17_0 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13
| op1(e12,e12) != e12
| epred16_0
| ~ epred17_0 )
& ( op1(e12,e13) = e13
| op1(e13,e13) != e12
| op1(e13,e12) != e13
| epred16_0
| ~ epred17_0 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e13,e13) != e12
| op1(e13,e12) != e13
| epred16_0
| ~ epred17_0 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11
| op1(e13,e13) != e12
| op1(e13,e12) != e13
| epred16_0
| ~ epred17_0 )
& ( op1(e12,e12) != e12
| op1(e13,e13) != e12
| op1(e13,e12) != e13
| epred16_0
| ~ epred17_0 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13
| op1(e13,e13) != e12
| op1(e13,e12) != e13
| epred16_0
| ~ epred17_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_83])])]) ).
cnf(c_0_104,plain,
( op1(e13,e13) = e13
| op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_105,plain,
op1(e12,e12) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_106,plain,
( op1(e13,e12) = e12
| op1(e11,e12) != e11 ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_107,plain,
( op1(e13,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(sr,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_108,plain,
op1(e10,e12) = e13,
inference(sr,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_109,plain,
( op1(e13,e12) = e12
| op1(e13,e11) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_26]),c_0_20]),c_0_47]),c_0_91]) ).
cnf(c_0_110,plain,
( epred17_0
| op1(e10,e11) != e11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_92]),c_0_93]) ).
cnf(c_0_111,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11 ),
inference(sr,[status(thm)],[c_0_94,c_0_89]) ).
fof(c_0_112,plain,
( epred5_0
<=> ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) ) ) ),
introduced(definition) ).
fof(c_0_113,plain,
( epred10_0
<=> ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e22,e20) = e20
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e21) = e21
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e22) = e22
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e23) = e23
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) ) ) ),
introduced(definition) ).
cnf(c_0_114,plain,
( op2(e20,e21) = e23
| op2(e20,e21) = e21
| op2(e20,e21) = e20 ),
inference(sr,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_115,plain,
op2(e20,e21) != e23,
inference(rw,[status(thm)],[c_0_97,c_0_98]) ).
fof(c_0_116,plain,
( epred1_0
<=> ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_117,plain,
( epred2_0
<=> ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_118,plain,
( epred3_0
<=> ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_119,plain,
( epred4_0
<=> ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_120,plain,
( epred14_0
=> ( epred13_0
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_99]),c_0_81]) ).
fof(c_0_121,plain,
( ( op1(e10,e13) = e13
| op1(e10,e12) = e12
| epred12_0
| ~ epred13_0 )
& ( op1(e10,e10) != e10
| op1(e10,e12) = e12
| epred12_0
| ~ epred13_0 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11
| op1(e10,e12) = e12
| epred12_0
| ~ epred13_0 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e10,e12) = e12
| epred12_0
| ~ epred13_0 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13
| op1(e10,e12) = e12
| epred12_0
| ~ epred13_0 )
& ( op1(e10,e13) = e13
| op1(e10,e10) != e10
| epred12_0
| ~ epred13_0 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10
| epred12_0
| ~ epred13_0 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11
| op1(e10,e10) != e10
| epred12_0
| ~ epred13_0 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e10,e10) != e10
| epred12_0
| ~ epred13_0 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13
| op1(e10,e10) != e10
| epred12_0
| ~ epred13_0 )
& ( op1(e10,e13) = e13
| op1(e11,e11) != e10
| op1(e11,e10) != e11
| epred12_0
| ~ epred13_0 )
& ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e11,e10) != e11
| epred12_0
| ~ epred13_0 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11
| op1(e11,e11) != e10
| op1(e11,e10) != e11
| epred12_0
| ~ epred13_0 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e11,e11) != e10
| op1(e11,e10) != e11
| epred12_0
| ~ epred13_0 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13
| op1(e11,e11) != e10
| op1(e11,e10) != e11
| epred12_0
| ~ epred13_0 )
& ( op1(e10,e13) = e13
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| epred12_0
| ~ epred13_0 )
& ( op1(e10,e10) != e10
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| epred12_0
| ~ epred13_0 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| epred12_0
| ~ epred13_0 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| epred12_0
| ~ epred13_0 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13
| op1(e12,e12) != e10
| op1(e12,e10) != e12
| epred12_0
| ~ epred13_0 )
& ( op1(e10,e13) = e13
| op1(e13,e13) != e10
| op1(e13,e10) != e13
| epred12_0
| ~ epred13_0 )
& ( op1(e10,e10) != e10
| op1(e13,e13) != e10
| op1(e13,e10) != e13
| epred12_0
| ~ epred13_0 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11
| op1(e13,e13) != e10
| op1(e13,e10) != e13
| epred12_0
| ~ epred13_0 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12
| op1(e13,e13) != e10
| op1(e13,e10) != e13
| epred12_0
| ~ epred13_0 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13
| op1(e13,e13) != e10
| op1(e13,e10) != e13
| epred12_0
| ~ epred13_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_100])])]) ).
cnf(c_0_122,plain,
( ~ epred12_0
| op1(e13,e10) != e13
| op1(e13,e13) != e10
| op1(e13,e10) != e13
| op1(e13,e13) != e10 ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
fof(c_0_123,plain,
( epred16_0
=> ( epred15_0
| ( op1(e12,e10) = e10
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e11) = e11
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_64]),c_0_102]) ).
cnf(c_0_124,plain,
( epred16_0
| ~ epred17_0
| op1(e12,e12) != e12
| op1(e12,e12) != e12 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_125,plain,
op1(e11,e11) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_126,plain,
( op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_20]),c_0_53]) ).
cnf(c_0_127,plain,
( op1(e12,e12) != e12
| op1(e11,e12) != e11 ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_128,plain,
( op1(e11,e12) = e11
| op1(e13,e12) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_108]),c_0_34]) ).
cnf(c_0_129,plain,
( op1(e13,e12) = e12
| epred17_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_92]),c_0_36]),c_0_74]) ).
cnf(c_0_130,plain,
op1(e10,e10) != op1(e10,e11),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_131,plain,
( op1(e10,e11) = e10
| epred17_0 ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
fof(c_0_132,plain,
( epred6_0
<=> ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) ) ) ),
introduced(definition) ).
fof(c_0_133,plain,
( epred5_0
=> ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_112]) ).
fof(c_0_134,plain,
( epred9_0
<=> ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e22,e20) = e20
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e21) = e21
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) ) ) ),
introduced(definition) ).
fof(c_0_135,plain,
( epred11_0
=> ( epred10_0
| ( op2(e23,e20) = e20
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e23,e21) = e21
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_16]),c_0_113]) ).
cnf(c_0_136,plain,
( op2(e23,e23) = e23
| op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_137,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_138,plain,
op2(e20,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_139,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21 ),
inference(sr,[status(thm)],[c_0_114,c_0_115]) ).
fof(c_0_140,negated_conjecture,
~ ( ( epred1_0
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( epred2_0
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( epred3_0
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( epred4_0
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[co1]),c_0_116]),c_0_117]),c_0_118]),c_0_119]) ).
fof(c_0_141,plain,
( epred15_0
=> ( epred14_0
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_102]),c_0_99]) ).
fof(c_0_142,plain,
( ( op1(e11,e11) = e11
| op1(e11,e10) = e10
| epred13_0
| ~ epred14_0 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e10) = e10
| epred13_0
| ~ epred14_0 )
& ( op1(e11,e11) != e11
| op1(e11,e10) = e10
| epred13_0
| ~ epred14_0 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e11,e10) = e10
| epred13_0
| ~ epred14_0 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13
| op1(e11,e10) = e10
| epred13_0
| ~ epred14_0 )
& ( op1(e11,e11) = e11
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| epred13_0
| ~ epred14_0 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| epred13_0
| ~ epred14_0 )
& ( op1(e11,e11) != e11
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| epred13_0
| ~ epred14_0 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| epred13_0
| ~ epred14_0 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| epred13_0
| ~ epred14_0 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11
| epred13_0
| ~ epred14_0 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e11) != e11
| epred13_0
| ~ epred14_0 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11
| epred13_0
| ~ epred14_0 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e11,e11) != e11
| epred13_0
| ~ epred14_0 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13
| op1(e11,e11) != e11
| epred13_0
| ~ epred14_0 )
& ( op1(e11,e11) = e11
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| epred13_0
| ~ epred14_0 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| epred13_0
| ~ epred14_0 )
& ( op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| epred13_0
| ~ epred14_0 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| epred13_0
| ~ epred14_0 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| epred13_0
| ~ epred14_0 )
& ( op1(e11,e11) = e11
| op1(e13,e13) != e11
| op1(e13,e11) != e13
| epred13_0
| ~ epred14_0 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e13,e13) != e11
| op1(e13,e11) != e13
| epred13_0
| ~ epred14_0 )
& ( op1(e11,e11) != e11
| op1(e13,e13) != e11
| op1(e13,e11) != e13
| epred13_0
| ~ epred14_0 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e13,e13) != e11
| op1(e13,e11) != e13
| epred13_0
| ~ epred14_0 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13
| op1(e13,e13) != e11
| op1(e13,e11) != e13
| epred13_0
| ~ epred14_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_120])])]) ).
cnf(c_0_143,plain,
( epred12_0
| ~ epred13_0
| op1(e13,e10) != e13
| op1(e13,e13) != e10
| op1(e13,e10) != e13
| op1(e13,e13) != e10 ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_144,plain,
( op1(e13,e10) != e13
| op1(e13,e13) != e10
| ~ epred12_0 ),
inference(cn,[status(thm)],[c_0_122]) ).
fof(c_0_145,plain,
( ( op1(e12,e11) = e11
| op1(e12,e10) = e10
| epred15_0
| ~ epred16_0 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e12,e10) = e10
| epred15_0
| ~ epred16_0 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11
| op1(e12,e10) = e10
| epred15_0
| ~ epred16_0 )
& ( op1(e12,e12) != e12
| op1(e12,e10) = e10
| epred15_0
| ~ epred16_0 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13
| op1(e12,e10) = e10
| epred15_0
| ~ epred16_0 )
& ( op1(e12,e11) = e11
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| epred15_0
| ~ epred16_0 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| epred15_0
| ~ epred16_0 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| epred15_0
| ~ epred16_0 )
& ( op1(e12,e12) != e12
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| epred15_0
| ~ epred16_0 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13
| op1(e10,e10) != e12
| op1(e10,e12) != e10
| epred15_0
| ~ epred16_0 )
& ( op1(e12,e11) = e11
| op1(e11,e11) != e12
| op1(e11,e12) != e11
| epred15_0
| ~ epred16_0 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e11,e11) != e12
| op1(e11,e12) != e11
| epred15_0
| ~ epred16_0 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11
| op1(e11,e11) != e12
| op1(e11,e12) != e11
| epred15_0
| ~ epred16_0 )
& ( op1(e12,e12) != e12
| op1(e11,e11) != e12
| op1(e11,e12) != e11
| epred15_0
| ~ epred16_0 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13
| op1(e11,e11) != e12
| op1(e11,e12) != e11
| epred15_0
| ~ epred16_0 )
& ( op1(e12,e11) = e11
| op1(e12,e12) != e12
| epred15_0
| ~ epred16_0 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e12,e12) != e12
| epred15_0
| ~ epred16_0 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11
| op1(e12,e12) != e12
| epred15_0
| ~ epred16_0 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12
| epred15_0
| ~ epred16_0 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13
| op1(e12,e12) != e12
| epred15_0
| ~ epred16_0 )
& ( op1(e12,e11) = e11
| op1(e13,e13) != e12
| op1(e13,e12) != e13
| epred15_0
| ~ epred16_0 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10
| op1(e13,e13) != e12
| op1(e13,e12) != e13
| epred15_0
| ~ epred16_0 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11
| op1(e13,e13) != e12
| op1(e13,e12) != e13
| epred15_0
| ~ epred16_0 )
& ( op1(e12,e12) != e12
| op1(e13,e13) != e12
| op1(e13,e12) != e13
| epred15_0
| ~ epred16_0 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13
| op1(e13,e13) != e12
| op1(e13,e12) != e13
| epred15_0
| ~ epred16_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_123])])]) ).
cnf(c_0_146,plain,
( epred16_0
| op1(e12,e12) = e12
| op1(e12,e13) = e13
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_147,plain,
( epred16_0
| op1(e12,e12) != e12
| ~ epred17_0 ),
inference(cn,[status(thm)],[c_0_124]) ).
cnf(c_0_148,plain,
( op1(e10,e10) = e10
| op1(e11,e12) != e11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]) ).
cnf(c_0_149,plain,
( op1(e11,e12) = e11
| epred17_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_36]) ).
cnf(c_0_150,plain,
( epred17_0
| op1(e10,e10) != e10 ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
fof(c_0_151,plain,
( epred7_0
<=> ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) ) ) ),
introduced(definition) ).
fof(c_0_152,plain,
( epred6_0
=> ( epred5_0
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_132]),c_0_112]) ).
fof(c_0_153,plain,
( ( op2(e20,e21) = e21
| op2(e20,e20) = e20
| ~ epred5_0 )
& ( op2(e20,e20) != e20
| op2(e20,e20) = e20
| ~ epred5_0 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21
| op2(e20,e20) = e20
| ~ epred5_0 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e20,e20) = e20
| ~ epred5_0 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23
| op2(e20,e20) = e20
| ~ epred5_0 )
& ( op2(e20,e21) = e21
| op2(e20,e20) != e20
| ~ epred5_0 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ epred5_0 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21
| op2(e20,e20) != e20
| ~ epred5_0 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e20,e20) != e20
| ~ epred5_0 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23
| op2(e20,e20) != e20
| ~ epred5_0 )
& ( op2(e20,e21) = e21
| op2(e21,e21) != e20
| op2(e21,e20) != e21
| ~ epred5_0 )
& ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e21,e20) != e21
| ~ epred5_0 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21
| op2(e21,e21) != e20
| op2(e21,e20) != e21
| ~ epred5_0 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e21,e21) != e20
| op2(e21,e20) != e21
| ~ epred5_0 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23
| op2(e21,e21) != e20
| op2(e21,e20) != e21
| ~ epred5_0 )
& ( op2(e20,e21) = e21
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| ~ epred5_0 )
& ( op2(e20,e20) != e20
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| ~ epred5_0 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| ~ epred5_0 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| ~ epred5_0 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| ~ epred5_0 )
& ( op2(e20,e21) = e21
| op2(e23,e23) != e20
| op2(e23,e20) != e23
| ~ epred5_0 )
& ( op2(e20,e20) != e20
| op2(e23,e23) != e20
| op2(e23,e20) != e23
| ~ epred5_0 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21
| op2(e23,e23) != e20
| op2(e23,e20) != e23
| ~ epred5_0 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e23,e23) != e20
| op2(e23,e20) != e23
| ~ epred5_0 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23
| op2(e23,e23) != e20
| op2(e23,e20) != e23
| ~ epred5_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_133])])]) ).
cnf(c_0_154,plain,
op2(e20,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[ax6]) ).
fof(c_0_155,plain,
( epred10_0
=> ( epred9_0
| ( op2(e22,e22) = e22
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e23) = e23
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_113]),c_0_134]) ).
fof(c_0_156,plain,
( ( op2(e23,e21) = e21
| op2(e23,e20) = e20
| epred10_0
| ~ epred11_0 )
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e23,e20) = e20
| epred10_0
| ~ epred11_0 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21
| op2(e23,e20) = e20
| epred10_0
| ~ epred11_0 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e20) = e20
| epred10_0
| ~ epred11_0 )
& ( op2(e23,e23) != e23
| op2(e23,e20) = e20
| epred10_0
| ~ epred11_0 )
& ( op2(e23,e21) = e21
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| epred10_0
| ~ epred11_0 )
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| epred10_0
| ~ epred11_0 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| epred10_0
| ~ epred11_0 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| epred10_0
| ~ epred11_0 )
& ( op2(e23,e23) != e23
| op2(e20,e20) != e23
| op2(e20,e23) != e20
| epred10_0
| ~ epred11_0 )
& ( op2(e23,e21) = e21
| op2(e21,e21) != e23
| op2(e21,e23) != e21
| epred10_0
| ~ epred11_0 )
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e21,e21) != e23
| op2(e21,e23) != e21
| epred10_0
| ~ epred11_0 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21
| op2(e21,e21) != e23
| op2(e21,e23) != e21
| epred10_0
| ~ epred11_0 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e21,e21) != e23
| op2(e21,e23) != e21
| epred10_0
| ~ epred11_0 )
& ( op2(e23,e23) != e23
| op2(e21,e21) != e23
| op2(e21,e23) != e21
| epred10_0
| ~ epred11_0 )
& ( op2(e23,e21) = e21
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| epred10_0
| ~ epred11_0 )
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| epred10_0
| ~ epred11_0 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| epred10_0
| ~ epred11_0 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| epred10_0
| ~ epred11_0 )
& ( op2(e23,e23) != e23
| op2(e22,e22) != e23
| op2(e22,e23) != e22
| epred10_0
| ~ epred11_0 )
& ( op2(e23,e21) = e21
| op2(e23,e23) != e23
| epred10_0
| ~ epred11_0 )
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20
| op2(e23,e23) != e23
| epred10_0
| ~ epred11_0 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21
| op2(e23,e23) != e23
| epred10_0
| ~ epred11_0 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e23,e23) != e23
| epred10_0
| ~ epred11_0 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23
| epred10_0
| ~ epred11_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_135])])]) ).
cnf(c_0_157,plain,
op2(e23,e21) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_158,plain,
op2(e23,e20) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_159,plain,
( epred11_0
| op2(e23,e22) = e22
| op2(e23,e23) = e23 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_160,plain,
( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_161,plain,
e20 != e21,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_162,plain,
op2(e22,e22) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_163,plain,
( op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_29]),c_0_137]) ).
cnf(c_0_164,plain,
op2(e20,e20) != op2(e20,e21),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_165,plain,
( op2(e20,e21) = e20
| op2(e23,e21) != e21 ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
fof(c_0_166,plain,
( ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 ) )
=> epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_119]) ).
fof(c_0_167,negated_conjecture,
( ( h1(e10) != e23
| ~ epred1_0 )
& ( h1(e11) != e23
| ~ epred1_0 )
& ( h1(e12) != e23
| ~ epred1_0 )
& ( h1(e13) != e23
| ~ epred1_0 )
& ( h2(e10) != e23
| ~ epred2_0 )
& ( h2(e11) != e23
| ~ epred2_0 )
& ( h2(e12) != e23
| ~ epred2_0 )
& ( h2(e13) != e23
| ~ epred2_0 )
& ( h3(e10) != e23
| ~ epred3_0 )
& ( h3(e11) != e23
| ~ epred3_0 )
& ( h3(e12) != e23
| ~ epred3_0 )
& ( h3(e13) != e23
| ~ epred3_0 )
& ( h4(e10) != e23
| ~ epred4_0 )
& ( h4(e11) != e23
| ~ epred4_0 )
& ( h4(e12) != e23
| ~ epred4_0 )
& ( h4(e13) != e23
| ~ epred4_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_140])]) ).
fof(c_0_168,plain,
( ( op1(e11,e13) = e13
| op1(e11,e12) = e12
| epred14_0
| ~ epred15_0 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e12) = e12
| epred14_0
| ~ epred15_0 )
& ( op1(e11,e11) != e11
| op1(e11,e12) = e12
| epred14_0
| ~ epred15_0 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e11,e12) = e12
| epred14_0
| ~ epred15_0 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13
| op1(e11,e12) = e12
| epred14_0
| ~ epred15_0 )
& ( op1(e11,e13) = e13
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| epred14_0
| ~ epred15_0 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| epred14_0
| ~ epred15_0 )
& ( op1(e11,e11) != e11
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| epred14_0
| ~ epred15_0 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| epred14_0
| ~ epred15_0 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| epred14_0
| ~ epred15_0 )
& ( op1(e11,e13) = e13
| op1(e11,e11) != e11
| epred14_0
| ~ epred15_0 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e11,e11) != e11
| epred14_0
| ~ epred15_0 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11
| epred14_0
| ~ epred15_0 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e11,e11) != e11
| epred14_0
| ~ epred15_0 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13
| op1(e11,e11) != e11
| epred14_0
| ~ epred15_0 )
& ( op1(e11,e13) = e13
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| epred14_0
| ~ epred15_0 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| epred14_0
| ~ epred15_0 )
& ( op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| epred14_0
| ~ epred15_0 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| epred14_0
| ~ epred15_0 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13
| op1(e12,e12) != e11
| op1(e12,e11) != e12
| epred14_0
| ~ epred15_0 )
& ( op1(e11,e13) = e13
| op1(e13,e13) != e11
| op1(e13,e11) != e13
| epred14_0
| ~ epred15_0 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e13,e13) != e11
| op1(e13,e11) != e13
| epred14_0
| ~ epred15_0 )
& ( op1(e11,e11) != e11
| op1(e13,e13) != e11
| op1(e13,e11) != e13
| epred14_0
| ~ epred15_0 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12
| op1(e13,e13) != e11
| op1(e13,e11) != e13
| epred14_0
| ~ epred15_0 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13
| op1(e13,e13) != e11
| op1(e13,e11) != e13
| epred14_0
| ~ epred15_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_141])])]) ).
cnf(c_0_169,plain,
( epred13_0
| ~ epred14_0
| op1(e10,e11) != e10
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e10,e10) != e11 ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_170,plain,
( epred12_0
| op1(e13,e10) != e13
| op1(e13,e13) != e10
| ~ epred13_0 ),
inference(cn,[status(thm)],[c_0_143]) ).
cnf(c_0_171,plain,
~ epred12_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_26]),c_0_20])]) ).
cnf(c_0_172,plain,
op1(e10,e10) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_173,plain,
op1(e12,e11) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_174,plain,
( epred15_0
| ~ epred16_0
| op1(e12,e12) != e12
| op1(e12,e12) != e12 ),
inference(split_conjunct,[status(thm)],[c_0_145]) ).
cnf(c_0_175,plain,
( epred16_0
| ~ epred17_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_32]),c_0_34]),c_0_147]) ).
cnf(c_0_176,plain,
epred17_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150]) ).
cnf(c_0_177,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
fof(c_0_178,plain,
( epred8_0
<=> ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) ) ) ),
introduced(definition) ).
fof(c_0_179,plain,
( epred7_0
=> ( epred6_0
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_151]),c_0_132]) ).
fof(c_0_180,plain,
( ( op2(e20,e23) = e23
| op2(e20,e22) = e22
| epred5_0
| ~ epred6_0 )
& ( op2(e20,e20) != e20
| op2(e20,e22) = e22
| epred5_0
| ~ epred6_0 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21
| op2(e20,e22) = e22
| epred5_0
| ~ epred6_0 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e20,e22) = e22
| epred5_0
| ~ epred6_0 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23
| op2(e20,e22) = e22
| epred5_0
| ~ epred6_0 )
& ( op2(e20,e23) = e23
| op2(e20,e20) != e20
| epred5_0
| ~ epred6_0 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20
| epred5_0
| ~ epred6_0 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21
| op2(e20,e20) != e20
| epred5_0
| ~ epred6_0 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e20,e20) != e20
| epred5_0
| ~ epred6_0 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23
| op2(e20,e20) != e20
| epred5_0
| ~ epred6_0 )
& ( op2(e20,e23) = e23
| op2(e21,e21) != e20
| op2(e21,e20) != e21
| epred5_0
| ~ epred6_0 )
& ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e21,e20) != e21
| epred5_0
| ~ epred6_0 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21
| op2(e21,e21) != e20
| op2(e21,e20) != e21
| epred5_0
| ~ epred6_0 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e21,e21) != e20
| op2(e21,e20) != e21
| epred5_0
| ~ epred6_0 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23
| op2(e21,e21) != e20
| op2(e21,e20) != e21
| epred5_0
| ~ epred6_0 )
& ( op2(e20,e23) = e23
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| epred5_0
| ~ epred6_0 )
& ( op2(e20,e20) != e20
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| epred5_0
| ~ epred6_0 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| epred5_0
| ~ epred6_0 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| epred5_0
| ~ epred6_0 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23
| op2(e22,e22) != e20
| op2(e22,e20) != e22
| epred5_0
| ~ epred6_0 )
& ( op2(e20,e23) = e23
| op2(e23,e23) != e20
| op2(e23,e20) != e23
| epred5_0
| ~ epred6_0 )
& ( op2(e20,e20) != e20
| op2(e23,e23) != e20
| op2(e23,e20) != e23
| epred5_0
| ~ epred6_0 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21
| op2(e23,e23) != e20
| op2(e23,e20) != e23
| epred5_0
| ~ epred6_0 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22
| op2(e23,e23) != e20
| op2(e23,e20) != e23
| epred5_0
| ~ epred6_0 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23
| op2(e23,e23) != e20
| op2(e23,e20) != e23
| epred5_0
| ~ epred6_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_152])])]) ).
cnf(c_0_181,plain,
( ~ epred5_0
| op2(e20,e20) != e20
| op2(e20,e20) != e20 ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
cnf(c_0_182,plain,
op2(e22,e22) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_183,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_184,plain,
op2(e20,e20) != e23,
inference(rw,[status(thm)],[c_0_154,c_0_43]) ).
cnf(c_0_185,plain,
e22 != e23,
inference(split_conjunct,[status(thm)],[ax8]) ).
fof(c_0_186,plain,
( ( op2(e22,e23) = e23
| op2(e22,e22) = e22
| epred9_0
| ~ epred10_0 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e22,e22) = e22
| epred9_0
| ~ epred10_0 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21
| op2(e22,e22) = e22
| epred9_0
| ~ epred10_0 )
& ( op2(e22,e22) != e22
| op2(e22,e22) = e22
| epred9_0
| ~ epred10_0 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23
| op2(e22,e22) = e22
| epred9_0
| ~ epred10_0 )
& ( op2(e22,e23) = e23
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| epred9_0
| ~ epred10_0 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| epred9_0
| ~ epred10_0 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| epred9_0
| ~ epred10_0 )
& ( op2(e22,e22) != e22
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| epred9_0
| ~ epred10_0 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| epred9_0
| ~ epred10_0 )
& ( op2(e22,e23) = e23
| op2(e21,e21) != e22
| op2(e21,e22) != e21
| epred9_0
| ~ epred10_0 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e21,e21) != e22
| op2(e21,e22) != e21
| epred9_0
| ~ epred10_0 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21
| op2(e21,e21) != e22
| op2(e21,e22) != e21
| epred9_0
| ~ epred10_0 )
& ( op2(e22,e22) != e22
| op2(e21,e21) != e22
| op2(e21,e22) != e21
| epred9_0
| ~ epred10_0 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23
| op2(e21,e21) != e22
| op2(e21,e22) != e21
| epred9_0
| ~ epred10_0 )
& ( op2(e22,e23) = e23
| op2(e22,e22) != e22
| epred9_0
| ~ epred10_0 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e22,e22) != e22
| epred9_0
| ~ epred10_0 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21
| op2(e22,e22) != e22
| epred9_0
| ~ epred10_0 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22
| epred9_0
| ~ epred10_0 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23
| op2(e22,e22) != e22
| epred9_0
| ~ epred10_0 )
& ( op2(e22,e23) = e23
| op2(e23,e23) != e22
| op2(e23,e22) != e23
| epred9_0
| ~ epred10_0 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e23,e23) != e22
| op2(e23,e22) != e23
| epred9_0
| ~ epred10_0 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21
| op2(e23,e23) != e22
| op2(e23,e22) != e23
| epred9_0
| ~ epred10_0 )
& ( op2(e22,e22) != e22
| op2(e23,e23) != e22
| op2(e23,e22) != e23
| epred9_0
| ~ epred10_0 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23
| op2(e23,e23) != e22
| op2(e23,e22) != e23
| epred9_0
| ~ epred10_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_155])])]) ).
cnf(c_0_187,plain,
( epred10_0
| op2(e23,e20) = e20
| op2(e23,e21) = e21
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_188,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_189,plain,
op2(e23,e21) != e20,
inference(rw,[status(thm)],[c_0_157,c_0_29]) ).
cnf(c_0_190,plain,
op2(e23,e21) != e23,
inference(rw,[status(thm)],[c_0_158,c_0_43]) ).
cnf(c_0_191,plain,
( op2(e23,e22) = e22
| epred11_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_29]),c_0_137]) ).
cnf(c_0_192,plain,
( op2(e23,e22) = e21
| op2(e23,e21) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_43]),c_0_29]),c_0_60]),c_0_161]) ).
cnf(c_0_193,plain,
op2(e21,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_194,plain,
( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e23,e22) != e22 ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_195,plain,
( op2(e20,e20) != e20
| op2(e23,e21) != e21 ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_196,plain,
( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_197,plain,
e20 != e22,
inference(split_conjunct,[status(thm)],[ax8]) ).
fof(c_0_198,plain,
( ( h4(e10) != e22
| h4(e10) != e21
| h4(e10) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e11) != e22
| h4(e10) != e21
| h4(e10) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e12) != e22
| h4(e10) != e21
| h4(e10) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e13) != e22
| h4(e10) != e21
| h4(e10) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e10) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e11) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e13) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e10) != e22
| h4(e12) != e21
| h4(e10) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e11) != e22
| h4(e12) != e21
| h4(e10) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e12) != e22
| h4(e12) != e21
| h4(e10) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e13) != e22
| h4(e12) != e21
| h4(e10) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e10) != e22
| h4(e13) != e21
| h4(e10) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e11) != e22
| h4(e13) != e21
| h4(e10) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e12) != e22
| h4(e13) != e21
| h4(e10) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e13) != e22
| h4(e13) != e21
| h4(e10) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e10) != e22
| h4(e10) != e21
| h4(e11) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e11) != e22
| h4(e10) != e21
| h4(e11) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e12) != e22
| h4(e10) != e21
| h4(e11) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e13) != e22
| h4(e10) != e21
| h4(e11) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e10) != e22
| h4(e11) != e21
| h4(e11) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e11) != e22
| h4(e11) != e21
| h4(e11) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e12) != e22
| h4(e11) != e21
| h4(e11) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e13) != e22
| h4(e11) != e21
| h4(e11) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e10) != e22
| h4(e12) != e21
| h4(e11) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e11) != e22
| h4(e12) != e21
| h4(e11) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e12) != e22
| h4(e12) != e21
| h4(e11) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e13) != e22
| h4(e12) != e21
| h4(e11) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e10) != e22
| h4(e13) != e21
| h4(e11) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e11) != e22
| h4(e13) != e21
| h4(e11) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e12) != e22
| h4(e13) != e21
| h4(e11) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e13) != e22
| h4(e13) != e21
| h4(e11) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e10) != e22
| h4(e10) != e21
| h4(e12) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e11) != e22
| h4(e10) != e21
| h4(e12) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e12) != e22
| h4(e10) != e21
| h4(e12) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e13) != e22
| h4(e10) != e21
| h4(e12) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e10) != e22
| h4(e11) != e21
| h4(e12) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e11) != e22
| h4(e11) != e21
| h4(e12) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e12) != e22
| h4(e11) != e21
| h4(e12) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e13) != e22
| h4(e11) != e21
| h4(e12) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e10) != e22
| h4(e12) != e21
| h4(e12) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e11) != e22
| h4(e12) != e21
| h4(e12) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e12) != e22
| h4(e12) != e21
| h4(e12) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e13) != e22
| h4(e12) != e21
| h4(e12) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e10) != e22
| h4(e13) != e21
| h4(e12) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e11) != e22
| h4(e13) != e21
| h4(e12) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e12) != e22
| h4(e13) != e21
| h4(e12) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e13) != e22
| h4(e13) != e21
| h4(e12) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e10) != e22
| h4(e10) != e21
| h4(e13) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e11) != e22
| h4(e10) != e21
| h4(e13) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e12) != e22
| h4(e10) != e21
| h4(e13) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e13) != e22
| h4(e10) != e21
| h4(e13) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e10) != e22
| h4(e11) != e21
| h4(e13) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e11) != e22
| h4(e11) != e21
| h4(e13) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e12) != e22
| h4(e11) != e21
| h4(e13) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e13) != e22
| h4(e11) != e21
| h4(e13) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e10) != e22
| h4(e12) != e21
| h4(e13) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e11) != e22
| h4(e12) != e21
| h4(e13) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e12) != e22
| h4(e12) != e21
| h4(e13) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e13) != e22
| h4(e12) != e21
| h4(e13) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e10) != e22
| h4(e13) != e21
| h4(e13) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e11) != e22
| h4(e13) != e21
| h4(e13) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e12) != e22
| h4(e13) != e21
| h4(e13) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 )
& ( h4(e13) != e22
| h4(e13) != e21
| h4(e13) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| epred4_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_166])]) ).
cnf(c_0_199,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_200,negated_conjecture,
( ~ epred4_0
| h4(e13) != e23 ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_201,plain,
h4(e13) = e23,
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_202,plain,
( epred14_0
| ~ epred15_0
| op1(e10,e11) != e10
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| op1(e10,e10) != e11 ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_203,plain,
( epred13_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| ~ epred14_0 ),
inference(cn,[status(thm)],[c_0_169]) ).
cnf(c_0_204,plain,
~ epred13_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_26]),c_0_20])]),c_0_171]) ).
cnf(c_0_205,plain,
( op1(e10,e11) = e10
| op1(e10,e10) != e11 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_206,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_207,plain,
op1(e10,e10) != e12,
inference(rw,[status(thm)],[c_0_172,c_0_24]) ).
cnf(c_0_208,plain,
( epred15_0
| op1(e12,e10) = e10
| op1(e12,e11) = e11
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_145]) ).
cnf(c_0_209,plain,
op1(e12,e11) != e11,
inference(rw,[status(thm)],[c_0_173,c_0_32]) ).
cnf(c_0_210,plain,
( epred15_0
| op1(e12,e12) != e12
| ~ epred16_0 ),
inference(cn,[status(thm)],[c_0_174]) ).
cnf(c_0_211,plain,
epred16_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_176])]) ).
cnf(c_0_212,plain,
( op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_32]),c_0_36]) ).
fof(c_0_213,plain,
( epred8_0
=> ( epred7_0
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_178]),c_0_151]) ).
fof(c_0_214,plain,
( ( op2(e21,e21) = e21
| op2(e21,e20) = e20
| epred6_0
| ~ epred7_0 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e20) = e20
| epred6_0
| ~ epred7_0 )
& ( op2(e21,e21) != e21
| op2(e21,e20) = e20
| epred6_0
| ~ epred7_0 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e21,e20) = e20
| epred6_0
| ~ epred7_0 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23
| op2(e21,e20) = e20
| epred6_0
| ~ epred7_0 )
& ( op2(e21,e21) = e21
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| epred6_0
| ~ epred7_0 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| epred6_0
| ~ epred7_0 )
& ( op2(e21,e21) != e21
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| epred6_0
| ~ epred7_0 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| epred6_0
| ~ epred7_0 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| epred6_0
| ~ epred7_0 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21
| epred6_0
| ~ epred7_0 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e21) != e21
| epred6_0
| ~ epred7_0 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21
| epred6_0
| ~ epred7_0 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e21,e21) != e21
| epred6_0
| ~ epred7_0 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23
| op2(e21,e21) != e21
| epred6_0
| ~ epred7_0 )
& ( op2(e21,e21) = e21
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| epred6_0
| ~ epred7_0 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| epred6_0
| ~ epred7_0 )
& ( op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| epred6_0
| ~ epred7_0 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| epred6_0
| ~ epred7_0 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| epred6_0
| ~ epred7_0 )
& ( op2(e21,e21) = e21
| op2(e23,e23) != e21
| op2(e23,e21) != e23
| epred6_0
| ~ epred7_0 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e23,e23) != e21
| op2(e23,e21) != e23
| epred6_0
| ~ epred7_0 )
& ( op2(e21,e21) != e21
| op2(e23,e23) != e21
| op2(e23,e21) != e23
| epred6_0
| ~ epred7_0 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e23,e23) != e21
| op2(e23,e21) != e23
| epred6_0
| ~ epred7_0 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23
| op2(e23,e23) != e21
| op2(e23,e21) != e23
| epred6_0
| ~ epred7_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_179])])]) ).
cnf(c_0_215,plain,
( epred5_0
| ~ epred6_0
| op2(e23,e20) != e23
| op2(e23,e23) != e20
| op2(e23,e20) != e23
| op2(e23,e23) != e20 ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_216,plain,
( op2(e20,e20) = e20
| ~ epred5_0
| op2(e23,e20) != e23
| op2(e23,e23) != e20 ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
cnf(c_0_217,plain,
( op2(e20,e20) != e20
| ~ epred5_0 ),
inference(cn,[status(thm)],[c_0_181]) ).
cnf(c_0_218,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_219,plain,
op2(e22,e22) != e21,
inference(rw,[status(thm)],[c_0_182,c_0_58]) ).
cnf(c_0_220,plain,
( op2(e20,e22) = e23
| op2(e20,e21) = e23 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_41]),c_0_184]),c_0_185]) ).
fof(c_0_221,plain,
( epred9_0
=> ( epred8_0
| ( op2(e22,e20) = e20
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e21) = e21
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_134]),c_0_178]) ).
cnf(c_0_222,plain,
( epred9_0
| ~ epred10_0
| op2(e22,e22) != e22
| op2(e22,e22) != e22 ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_223,plain,
( op2(e23,e21) = e21
| epred10_0
| ~ epred11_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_43]),c_0_137]) ).
cnf(c_0_224,plain,
( op2(e23,e21) = e22
| op2(e23,e21) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_188,c_0_189]),c_0_190]) ).
cnf(c_0_225,plain,
( op2(e23,e21) = e21
| epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_62]) ).
cnf(c_0_226,plain,
( op2(e23,e21) != e21
| op2(e23,e22) != e22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_195]) ).
cnf(c_0_227,plain,
( op2(e23,e22) = e22
| op2(e23,e21) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_43]),c_0_29]),c_0_185]),c_0_197]) ).
cnf(c_0_228,plain,
( epred4_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) != e20
| h4(e11) != e21
| h4(e12) != e22 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_229,plain,
op1(e11,e13) = e13,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_24]),c_0_32]),c_0_20]),c_0_47]),c_0_34]),c_0_53]) ).
cnf(c_0_230,negated_conjecture,
~ epred4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_201])]) ).
cnf(c_0_231,plain,
h4(e10) = op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_232,plain,
h4(e11) = op2(op2(op2(e23,e23),e23),e23),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_233,plain,
h4(e12) = op2(op2(e23,e23),e23),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_234,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_235,plain,
op1(e13,e11) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_236,plain,
op1(e13,e10) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_237,plain,
( epred14_0
| op1(e10,e10) != e11
| op1(e10,e11) != e10
| ~ epred15_0 ),
inference(cn,[status(thm)],[c_0_202]) ).
cnf(c_0_238,plain,
( op1(e10,e10) != e11
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_203,c_0_204]),c_0_205]) ).
cnf(c_0_239,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_240,plain,
( op1(e12,e10) = e10
| epred15_0
| ~ epred16_0 ),
inference(sr,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_241,plain,
( epred15_0
| op1(e12,e12) != e12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_211])]) ).
cnf(c_0_242,plain,
( op1(e12,e10) = e12
| op1(e12,e12) = e12 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_72]),c_0_47]) ).
fof(c_0_243,plain,
( ( op2(e21,e23) = e23
| op2(e21,e22) = e22
| epred7_0
| ~ epred8_0 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e22) = e22
| epred7_0
| ~ epred8_0 )
& ( op2(e21,e21) != e21
| op2(e21,e22) = e22
| epred7_0
| ~ epred8_0 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e21,e22) = e22
| epred7_0
| ~ epred8_0 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23
| op2(e21,e22) = e22
| epred7_0
| ~ epred8_0 )
& ( op2(e21,e23) = e23
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| epred7_0
| ~ epred8_0 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| epred7_0
| ~ epred8_0 )
& ( op2(e21,e21) != e21
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| epred7_0
| ~ epred8_0 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| epred7_0
| ~ epred8_0 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| epred7_0
| ~ epred8_0 )
& ( op2(e21,e23) = e23
| op2(e21,e21) != e21
| epred7_0
| ~ epred8_0 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e21,e21) != e21
| epred7_0
| ~ epred8_0 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21
| epred7_0
| ~ epred8_0 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e21,e21) != e21
| epred7_0
| ~ epred8_0 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23
| op2(e21,e21) != e21
| epred7_0
| ~ epred8_0 )
& ( op2(e21,e23) = e23
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| epred7_0
| ~ epred8_0 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| epred7_0
| ~ epred8_0 )
& ( op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| epred7_0
| ~ epred8_0 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| epred7_0
| ~ epred8_0 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23
| op2(e22,e22) != e21
| op2(e22,e21) != e22
| epred7_0
| ~ epred8_0 )
& ( op2(e21,e23) = e23
| op2(e23,e23) != e21
| op2(e23,e21) != e23
| epred7_0
| ~ epred8_0 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e23,e23) != e21
| op2(e23,e21) != e23
| epred7_0
| ~ epred8_0 )
& ( op2(e21,e21) != e21
| op2(e23,e23) != e21
| op2(e23,e21) != e23
| epred7_0
| ~ epred8_0 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22
| op2(e23,e23) != e21
| op2(e23,e21) != e23
| epred7_0
| ~ epred8_0 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23
| op2(e23,e23) != e21
| op2(e23,e21) != e23
| epred7_0
| ~ epred8_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_213])])]) ).
cnf(c_0_244,plain,
( epred6_0
| ~ epred7_0
| op2(e20,e21) != e20
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(split_conjunct,[status(thm)],[c_0_214]) ).
cnf(c_0_245,plain,
( epred5_0
| op2(e23,e20) != e23
| op2(e23,e23) != e20
| ~ epred6_0 ),
inference(cn,[status(thm)],[c_0_215]) ).
cnf(c_0_246,plain,
~ epred5_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_216,c_0_43]),c_0_29])]),c_0_217]) ).
cnf(c_0_247,plain,
( op2(e23,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(sr,[status(thm)],[c_0_218,c_0_219]) ).
cnf(c_0_248,plain,
op2(e20,e22) = e23,
inference(sr,[status(thm)],[c_0_220,c_0_115]) ).
cnf(c_0_249,plain,
op2(e22,e20) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
fof(c_0_250,plain,
( ( op2(e22,e21) = e21
| op2(e22,e20) = e20
| epred8_0
| ~ epred9_0 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e22,e20) = e20
| epred8_0
| ~ epred9_0 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21
| op2(e22,e20) = e20
| epred8_0
| ~ epred9_0 )
& ( op2(e22,e22) != e22
| op2(e22,e20) = e20
| epred8_0
| ~ epred9_0 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23
| op2(e22,e20) = e20
| epred8_0
| ~ epred9_0 )
& ( op2(e22,e21) = e21
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| epred8_0
| ~ epred9_0 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| epred8_0
| ~ epred9_0 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| epred8_0
| ~ epred9_0 )
& ( op2(e22,e22) != e22
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| epred8_0
| ~ epred9_0 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23
| op2(e20,e20) != e22
| op2(e20,e22) != e20
| epred8_0
| ~ epred9_0 )
& ( op2(e22,e21) = e21
| op2(e21,e21) != e22
| op2(e21,e22) != e21
| epred8_0
| ~ epred9_0 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e21,e21) != e22
| op2(e21,e22) != e21
| epred8_0
| ~ epred9_0 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21
| op2(e21,e21) != e22
| op2(e21,e22) != e21
| epred8_0
| ~ epred9_0 )
& ( op2(e22,e22) != e22
| op2(e21,e21) != e22
| op2(e21,e22) != e21
| epred8_0
| ~ epred9_0 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23
| op2(e21,e21) != e22
| op2(e21,e22) != e21
| epred8_0
| ~ epred9_0 )
& ( op2(e22,e21) = e21
| op2(e22,e22) != e22
| epred8_0
| ~ epred9_0 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e22,e22) != e22
| epred8_0
| ~ epred9_0 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21
| op2(e22,e22) != e22
| epred8_0
| ~ epred9_0 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22
| epred8_0
| ~ epred9_0 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23
| op2(e22,e22) != e22
| epred8_0
| ~ epred9_0 )
& ( op2(e22,e21) = e21
| op2(e23,e23) != e22
| op2(e23,e22) != e23
| epred8_0
| ~ epred9_0 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20
| op2(e23,e23) != e22
| op2(e23,e22) != e23
| epred8_0
| ~ epred9_0 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21
| op2(e23,e23) != e22
| op2(e23,e22) != e23
| epred8_0
| ~ epred9_0 )
& ( op2(e22,e22) != e22
| op2(e23,e23) != e22
| op2(e23,e22) != e23
| epred8_0
| ~ epred9_0 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23
| op2(e23,e23) != e22
| op2(e23,e22) != e23
| epred8_0
| ~ epred9_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_221])])]) ).
cnf(c_0_251,plain,
( epred9_0
| op2(e22,e22) = e22
| op2(e22,e23) = e23
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_252,plain,
( epred9_0
| op2(e22,e22) != e22
| ~ epred10_0 ),
inference(cn,[status(thm)],[c_0_222]) ).
cnf(c_0_253,plain,
( op2(e23,e21) = e21
| epred10_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_62]),c_0_225]) ).
cnf(c_0_254,plain,
op2(e23,e21) = e22,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_224]) ).
cnf(c_0_255,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e12)) != op2(e23,h4(e12))
| h4(e12) != op2(h4(e10),e23)
| h4(e11) != op2(h4(e12),e23)
| op2(h4(e11),e23) != e23
| op2(e23,h4(e10)) != e23
| h4(e10) != e20
| h4(e11) != e21
| h4(e12) != e22 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_228,c_0_24]),c_0_201]),c_0_229]),c_0_201]),c_0_201]),c_0_32]),c_0_201]),c_0_26]),c_0_201]),c_0_201]),c_0_201]),c_0_201]),c_0_20]),c_0_201]),c_0_201]),c_0_29])]),c_0_230]) ).
cnf(c_0_256,plain,
h4(e10) = e20,
inference(rw,[status(thm)],[c_0_231,c_0_29]) ).
cnf(c_0_257,plain,
h4(e11) = e21,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_29]),c_0_41]),c_0_58]) ).
cnf(c_0_258,plain,
h4(e12) = e22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_29]),c_0_41]) ).
cnf(c_0_259,plain,
op2(e21,e23) = e23,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_41]),c_0_58]),c_0_29]),c_0_185]),c_0_60]),c_0_137]) ).
cnf(c_0_260,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_261,plain,
op1(e13,e11) != e10,
inference(rw,[status(thm)],[c_0_235,c_0_20]) ).
cnf(c_0_262,plain,
op1(e13,e11) != e13,
inference(rw,[status(thm)],[c_0_236,c_0_26]) ).
cnf(c_0_263,plain,
op2(e23,e22) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_264,plain,
op2(e23,e20) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_265,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_266,plain,
( op1(e10,e10) != e11
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_237,c_0_205]),c_0_238]) ).
cnf(c_0_267,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference(sr,[status(thm)],[c_0_239,c_0_70]) ).
cnf(c_0_268,plain,
( op1(e12,e10) = e10
| epred15_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_211])]) ).
cnf(c_0_269,plain,
( op1(e12,e10) = e12
| epred15_0 ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_270,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_271,plain,
op1(e12,e10) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_272,plain,
( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_273,plain,
( epred7_0
| ~ epred8_0
| op2(e20,e21) != e20
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(split_conjunct,[status(thm)],[c_0_243]) ).
cnf(c_0_274,plain,
( epred6_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| ~ epred7_0 ),
inference(cn,[status(thm)],[c_0_244]) ).
cnf(c_0_275,plain,
~ epred6_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_43]),c_0_29])]),c_0_246]) ).
cnf(c_0_276,plain,
( op2(e20,e21) = e20
| op2(e20,e20) != e21 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_277,plain,
op2(e21,e20) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_278,plain,
( op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_248]),c_0_60]) ).
cnf(c_0_279,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_280,plain,
op2(e22,e20) != e21,
inference(rw,[status(thm)],[c_0_249,c_0_58]) ).
cnf(c_0_281,plain,
op2(e22,e21) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_282,plain,
( epred8_0
| ~ epred9_0
| op2(e22,e22) != e22
| op2(e22,e22) != e22 ),
inference(split_conjunct,[status(thm)],[c_0_250]) ).
cnf(c_0_283,plain,
( epred9_0
| ~ epred10_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_58]),c_0_60]),c_0_252]) ).
cnf(c_0_284,plain,
epred10_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_62]) ).
cnf(c_0_285,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_286,plain,
( h4(op1(e10,e10)) != op2(e20,e20)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e12)) != op2(e23,e22)
| op2(e20,e22) != e23 ),
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(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)],[c_0_255,c_0_256]),c_0_256]),c_0_256]),c_0_256]),c_0_256]),c_0_256]),c_0_256]),c_0_41]),c_0_256]),c_0_43]),c_0_256])]),c_0_257]),c_0_108]),c_0_201]),c_0_258]),c_0_257]),c_0_257]),c_0_257]),c_0_257]),c_0_258]),c_0_258]),c_0_72]),c_0_201]),c_0_258]),c_0_257]),c_0_98]),c_0_258]),c_0_258]),c_0_257]),c_0_258]),c_0_258]),c_0_257]),c_0_258]),c_0_58]),c_0_257]),c_0_259]),c_0_257])]) ).
cnf(c_0_287,plain,
( op1(e13,e11) = e12
| op1(e13,e11) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_260,c_0_261]),c_0_262]) ).
cnf(c_0_288,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_289,plain,
op2(e23,e22) != e20,
inference(rw,[status(thm)],[c_0_263,c_0_29]) ).
cnf(c_0_290,plain,
op2(e23,e22) != e23,
inference(rw,[status(thm)],[c_0_264,c_0_43]) ).
cnf(c_0_291,plain,
( op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_265,c_0_24]),c_0_36]) ).
cnf(c_0_292,plain,
( op1(e10,e10) = e10
| ~ epred15_0 ),
inference(spm,[status(thm)],[c_0_266,c_0_267]) ).
cnf(c_0_293,plain,
epred15_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_91]) ).
cnf(c_0_294,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_295,plain,
( op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_270,c_0_26]),c_0_34]) ).
cnf(c_0_296,plain,
op1(e12,e10) != e11,
inference(rw,[status(thm)],[c_0_271,c_0_32]) ).
cnf(c_0_297,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_272,c_0_261]),c_0_72]),c_0_53]) ).
cnf(c_0_298,plain,
( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_299,plain,
( epred6_0
| op2(e21,e20) = e20
| op2(e21,e21) = e21
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_214]) ).
cnf(c_0_300,plain,
( epred7_0
| op2(e20,e20) != e21
| op2(e20,e21) != e20
| ~ epred8_0 ),
inference(cn,[status(thm)],[c_0_273]) ).
cnf(c_0_301,plain,
( op2(e20,e20) != e21
| ~ epred7_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_274,c_0_275]),c_0_276]) ).
cnf(c_0_302,plain,
( op2(e23,e22) = e21
| op2(e21,e20) != e21 ),
inference(spm,[status(thm)],[c_0_277,c_0_278]) ).
cnf(c_0_303,plain,
( op2(e21,e20) = e21
| op2(e20,e20) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_279,c_0_43]),c_0_280]),c_0_60]) ).
cnf(c_0_304,plain,
( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_305,plain,
op2(e20,e20) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_306,plain,
( epred8_0
| op2(e22,e20) = e20
| op2(e22,e21) = e21
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_250]) ).
cnf(c_0_307,plain,
op2(e22,e21) != e21,
inference(rw,[status(thm)],[c_0_281,c_0_58]) ).
cnf(c_0_308,plain,
( epred8_0
| op2(e22,e22) != e22
| ~ epred9_0 ),
inference(cn,[status(thm)],[c_0_282]) ).
cnf(c_0_309,plain,
epred9_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_283,c_0_284])]) ).
cnf(c_0_310,plain,
( op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_285,c_0_58]),c_0_62]) ).
cnf(c_0_311,plain,
( h4(op1(e10,e10)) != op2(e20,e20)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e12)) != op2(e23,e22) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_286,c_0_248])]) ).
cnf(c_0_312,plain,
( op1(e13,e11) = e12
| op1(e10,e11) != e11 ),
inference(spm,[status(thm)],[c_0_54,c_0_287]) ).
cnf(c_0_313,plain,
op2(e23,e21) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_314,plain,
( op2(e23,e22) = e22
| op2(e23,e22) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_288,c_0_289]),c_0_290]) ).
cnf(c_0_315,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_291,c_0_108]),c_0_34]) ).
cnf(c_0_316,plain,
op1(e10,e10) = e10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_292,c_0_293])]) ).
cnf(c_0_317,plain,
( op1(e12,e10) = e12
| op1(e11,e10) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_294,c_0_26]),c_0_207]),c_0_47]) ).
cnf(c_0_318,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11 ),
inference(sr,[status(thm)],[c_0_295,c_0_296]) ).
cnf(c_0_319,plain,
( op1(e10,e11) = e10
| op1(e11,e12) != e10 ),
inference(spm,[status(thm)],[c_0_125,c_0_297]) ).
cnf(c_0_320,plain,
( op1(e11,e12) = e10
| op1(e12,e12) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_298,c_0_66]),c_0_108]),c_0_53]) ).
cnf(c_0_321,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_322,plain,
( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_323,plain,
( epred6_0
| op2(e21,e20) = e20
| ~ epred7_0
| op2(e21,e21) != e21 ),
inference(split_conjunct,[status(thm)],[c_0_214]) ).
cnf(c_0_324,plain,
( op2(e21,e21) = e21
| op2(e21,e20) = e20
| ~ epred7_0 ),
inference(sr,[status(thm)],[c_0_299,c_0_275]) ).
cnf(c_0_325,plain,
( op2(e20,e20) != e21
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_300,c_0_276]),c_0_301]) ).
cnf(c_0_326,plain,
( op2(e20,e20) = e21
| op2(e23,e22) = e21 ),
inference(spm,[status(thm)],[c_0_302,c_0_303]) ).
cnf(c_0_327,plain,
( op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_304,c_0_58]),c_0_161]) ).
cnf(c_0_328,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_329,plain,
op2(e20,e20) != e22,
inference(rw,[status(thm)],[c_0_305,c_0_41]) ).
cnf(c_0_330,plain,
( op2(e22,e20) = e20
| epred8_0
| ~ epred9_0 ),
inference(sr,[status(thm)],[c_0_306,c_0_307]) ).
cnf(c_0_331,plain,
( epred8_0
| op2(e22,e22) != e22 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_308,c_0_309])]) ).
cnf(c_0_332,plain,
( op2(e22,e20) = e22
| op2(e22,e22) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_310,c_0_98]),c_0_185]) ).
cnf(c_0_333,plain,
( h4(op1(e10,e10)) != op2(e20,e20)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e13,e12)) != op2(e23,e22)
| op2(e23,e21) != e22
| op1(e10,e11) != e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_258]) ).
cnf(c_0_334,plain,
( op2(e23,e22) = e21
| op2(e23,e21) != e22 ),
inference(spm,[status(thm)],[c_0_313,c_0_314]) ).
cnf(c_0_335,plain,
op1(e10,e11) = e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_315,c_0_316]),c_0_39]) ).
cnf(c_0_336,plain,
( op1(e10,e10) = e11
| op1(e12,e10) = e12 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_318]),c_0_36]) ).
cnf(c_0_337,plain,
( op1(e12,e12) = e10
| op1(e10,e11) = e10 ),
inference(spm,[status(thm)],[c_0_319,c_0_320]) ).
cnf(c_0_338,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_339,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_340,plain,
( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22 ),
inference(sr,[status(thm)],[c_0_321,c_0_96]) ).
cnf(c_0_341,plain,
( op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 ),
inference(sr,[status(thm)],[c_0_322,c_0_189]) ).
cnf(c_0_342,plain,
( epred7_0
| ~ epred8_0
| op2(e21,e21) != e21
| op2(e21,e21) != e21 ),
inference(split_conjunct,[status(thm)],[c_0_243]) ).
cnf(c_0_343,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_344,plain,
( op2(e21,e20) = e20
| ~ epred7_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_323,c_0_275]),c_0_324]) ).
cnf(c_0_345,plain,
( op2(e23,e22) = e21
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_325,c_0_326]) ).
cnf(c_0_346,plain,
op2(e21,e22) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_347,plain,
( op2(e22,e20) = e20
| op2(e22,e22) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_327,c_0_98]),c_0_137]) ).
cnf(c_0_348,plain,
( op2(e20,e20) = e21
| op2(e20,e20) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_328,c_0_329]),c_0_184]) ).
cnf(c_0_349,plain,
( op2(e22,e20) = e20
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_330,c_0_309])]) ).
cnf(c_0_350,plain,
( op2(e22,e20) = e22
| epred8_0 ),
inference(spm,[status(thm)],[c_0_331,c_0_332]) ).
cnf(c_0_351,plain,
( h4(op1(e10,e10)) != op2(e20,e20)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| op2(e23,e21) != e22
| op1(e10,e11) != e11 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_75]),c_0_257]),c_0_334]) ).
cnf(c_0_352,plain,
op1(e11,e10) = e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_318,c_0_316]),c_0_39]) ).
cnf(c_0_353,plain,
op1(e11,e11) = e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_297,c_0_335]),c_0_39]) ).
cnf(c_0_354,plain,
op1(e12,e10) = e12,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_336,c_0_316]),c_0_39]) ).
cnf(c_0_355,plain,
op1(e12,e12) = e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_337,c_0_335]),c_0_39]) ).
cnf(c_0_356,plain,
( op2(e22,e20) = e22
| op2(e22,e22) != e20 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_357,plain,
( op2(e21,e20) = e21
| op2(e21,e21) != e20 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_358,plain,
( op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_338,c_0_229]),c_0_47]) ).
cnf(c_0_359,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e20 ),
inference(sr,[status(thm)],[c_0_339,c_0_219]) ).
cnf(c_0_360,plain,
( op2(e21,e21) = e22
| op2(e23,e21) = e22 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_98]),c_0_185]) ).
cnf(c_0_361,plain,
( op2(e20,e21) = e20
| op2(e21,e21) = e20 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_98]),c_0_137]) ).
cnf(c_0_362,plain,
( epred7_0
| op2(e21,e21) != e21
| ~ epred8_0 ),
inference(cn,[status(thm)],[c_0_342]) ).
cnf(c_0_363,plain,
( op2(e23,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(sr,[status(thm)],[c_0_343,c_0_307]) ).
cnf(c_0_364,plain,
~ epred7_0,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_303]),c_0_161]),c_0_301]) ).
cnf(c_0_365,plain,
( op2(e23,e21) != e21
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_313,c_0_345]) ).
cnf(c_0_366,plain,
( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_367,plain,
op2(e20,e20) != op2(e22,e20),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_368,plain,
( op2(e22,e20) = e20
| op2(e21,e22) != e20 ),
inference(spm,[status(thm)],[c_0_346,c_0_347]) ).
cnf(c_0_369,plain,
( op2(e20,e20) = e20
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_325,c_0_348]) ).
cnf(c_0_370,plain,
epred8_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_350]),c_0_197]) ).
cnf(c_0_371,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| op2(e20,e20) != e20
| op2(e20,e21) != e21
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e21) != e22 ),
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)],[c_0_351,c_0_316]),c_0_256]),c_0_335]),c_0_257]),c_0_352]),c_0_257]),c_0_353]),c_0_256]),c_0_354]),c_0_258]),c_0_355]),c_0_256]),c_0_335])]),c_0_356]),c_0_357]) ).
cnf(c_0_372,plain,
op1(e11,e12) = e12,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_358,c_0_352]),c_0_36]),c_0_353]),c_0_91]) ).
cnf(c_0_373,plain,
( op2(e22,e22) = e20
| op2(e22,e22) = e22 ),
inference(sr,[status(thm)],[c_0_359,c_0_80]) ).
cnf(c_0_374,plain,
( op2(e20,e21) = e20
| op2(e23,e21) = e22 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_361]),c_0_197]) ).
cnf(c_0_375,plain,
( op2(e20,e21) = e21
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_363]),c_0_364]),c_0_365]) ).
cnf(c_0_376,plain,
op2(e20,e22) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_377,plain,
( op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 ),
inference(sr,[status(thm)],[c_0_366,c_0_289]) ).
cnf(c_0_378,plain,
( op2(e20,e20) != e20
| op2(e21,e22) != e20 ),
inference(spm,[status(thm)],[c_0_367,c_0_368]) ).
cnf(c_0_379,plain,
op2(e20,e20) = e20,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_369,c_0_370])]) ).
cnf(c_0_380,plain,
( op2(e21,e22) != e22
| op2(e20,e20) != e20
| op2(e20,e21) != e21
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e21) != e22 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_371,c_0_372]),c_0_258]) ).
cnf(c_0_381,plain,
( op2(e22,e22) = e20
| op2(e21,e22) != e22 ),
inference(spm,[status(thm)],[c_0_346,c_0_373]) ).
cnf(c_0_382,plain,
( op2(e23,e21) = e22
| op2(e20,e20) != e20 ),
inference(spm,[status(thm)],[c_0_164,c_0_374]) ).
cnf(c_0_383,plain,
op2(e20,e21) = e21,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_375,c_0_370])]) ).
cnf(c_0_384,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_385,plain,
op2(e20,e22) != e22,
inference(rw,[status(thm)],[c_0_376,c_0_41]) ).
cnf(c_0_386,plain,
( op2(e21,e22) = e20
| op2(e22,e22) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_377,c_0_248]),c_0_137]) ).
cnf(c_0_387,plain,
op2(e21,e22) != e20,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_378,c_0_379])]) ).
cnf(c_0_388,plain,
( op2(e21,e22) != e22
| op2(e20,e20) != e20
| op2(e20,e21) != e21
| op2(e21,e21) != e20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_381]),c_0_382]) ).
cnf(c_0_389,plain,
op2(e21,e21) = e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_361,c_0_383]),c_0_161]) ).
cnf(c_0_390,plain,
( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22 ),
inference(sr,[status(thm)],[c_0_384,c_0_385]) ).
cnf(c_0_391,plain,
op2(e23,e22) = e21,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_334,c_0_254])]) ).
cnf(c_0_392,plain,
op2(e22,e22) = e20,
inference(sr,[status(thm)],[c_0_386,c_0_387]) ).
cnf(c_0_393,plain,
op2(e21,e22) != e22,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_388,c_0_379])]),c_0_383]),c_0_389])]) ).
cnf(c_0_394,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_390,c_0_391]),c_0_62]),c_0_392]),c_0_197]),c_0_393]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG123+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 11:04:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.42 # Preprocessing time : 0.143 s
% 0.22/1.42
% 0.22/1.42 # Proof found!
% 0.22/1.42 # SZS status Theorem
% 0.22/1.42 # SZS output start CNFRefutation
% See solution above
% 0.22/1.42 # Proof object total steps : 395
% 0.22/1.42 # Proof object clause steps : 327
% 0.22/1.42 # Proof object formula steps : 68
% 0.22/1.42 # Proof object conjectures : 5
% 0.22/1.42 # Proof object clause conjectures : 2
% 0.22/1.42 # Proof object formula conjectures : 3
% 0.22/1.42 # Proof object initial clauses used : 132
% 0.22/1.42 # Proof object initial formulas used : 14
% 0.22/1.42 # Proof object generating inferences : 48
% 0.22/1.42 # Proof object simplifying inferences : 365
% 0.22/1.42 # Training examples: 0 positive, 0 negative
% 0.22/1.42 # Parsed axioms : 18
% 0.22/1.42 # Removed by relevancy pruning/SinE : 0
% 0.22/1.42 # Initial clauses : 948
% 0.22/1.42 # Removed in clause preprocessing : 16
% 0.22/1.42 # Initial clauses in saturation : 932
% 0.22/1.42 # Processed clauses : 2587
% 0.22/1.42 # ...of these trivial : 69
% 0.22/1.42 # ...subsumed : 1811
% 0.22/1.42 # ...remaining for further processing : 706
% 0.22/1.42 # Other redundant clauses eliminated : 0
% 0.22/1.42 # Clauses deleted for lack of memory : 0
% 0.22/1.42 # Backward-subsumed : 101
% 0.22/1.42 # Backward-rewritten : 473
% 0.22/1.42 # Generated clauses : 3204
% 0.22/1.42 # ...of the previous two non-trivial : 3370
% 0.22/1.42 # Contextual simplify-reflections : 927
% 0.22/1.42 # Paramodulations : 3132
% 0.22/1.42 # Factorizations : 48
% 0.22/1.42 # Equation resolutions : 0
% 0.22/1.42 # Current number of processed clauses : 108
% 0.22/1.42 # Positive orientable unit clauses : 55
% 0.22/1.42 # Positive unorientable unit clauses: 0
% 0.22/1.42 # Negative unit clauses : 40
% 0.22/1.42 # Non-unit-clauses : 13
% 0.22/1.42 # Current number of unprocessed clauses: 74
% 0.22/1.42 # ...number of literals in the above : 314
% 0.22/1.42 # Current number of archived formulas : 0
% 0.22/1.42 # Current number of archived clauses : 598
% 0.22/1.42 # Clause-clause subsumption calls (NU) : 228546
% 0.22/1.42 # Rec. Clause-clause subsumption calls : 22678
% 0.22/1.42 # Non-unit clause-clause subsumptions : 1482
% 0.22/1.42 # Unit Clause-clause subsumption calls : 4126
% 0.22/1.42 # Rewrite failures with RHS unbound : 0
% 0.22/1.42 # BW rewrite match attempts : 42
% 0.22/1.42 # BW rewrite match successes : 42
% 0.22/1.42 # Condensation attempts : 0
% 0.22/1.42 # Condensation successes : 0
% 0.22/1.42 # Termbank termtop insertions : 255759
% 0.22/1.42
% 0.22/1.42 # -------------------------------------------------
% 0.22/1.42 # User time : 0.416 s
% 0.22/1.42 # System time : 0.005 s
% 0.22/1.42 # Total time : 0.421 s
% 0.22/1.42 # Maximum resident set size: 6116 pages
%------------------------------------------------------------------------------