TSTP Solution File: ALG015+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ALG015+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.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 16:47:14 EDT 2022
% Result : Theorem 0.25s 1.43s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 28
% Syntax : Number of formulae : 182 ( 114 unt; 0 def)
% Number of atoms : 3421 (3128 equ)
% Maximal formula atoms : 1280 ( 18 avg)
% Number of connectives : 4871 (1632 ~;2175 |;1047 &)
% ( 14 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 84 ( 7 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax22,axiom,
( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax22) ).
fof(ax6,axiom,
( op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax6) ).
fof(ax25,axiom,
( e20 = op2(e23,e23)
& e21 = op2(e22,e23) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax25) ).
fof(ax23,axiom,
( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax23) ).
fof(ax2,axiom,
( op1(op1(e10,e10),e10) = op1(e10,op1(e10,e10))
& op1(op1(e10,e10),e11) = op1(e10,op1(e10,e11))
& op1(op1(e10,e10),e12) = op1(e10,op1(e10,e12))
& op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13))
& op1(op1(e10,e11),e10) = op1(e10,op1(e11,e10))
& op1(op1(e10,e11),e11) = op1(e10,op1(e11,e11))
& op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12))
& op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13))
& op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10))
& op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11))
& op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12))
& op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13))
& op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10))
& op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11))
& op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12))
& op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13))
& op1(op1(e11,e10),e10) = op1(e11,op1(e10,e10))
& op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11))
& op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12))
& op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13))
& op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10))
& op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11))
& op1(op1(e11,e11),e12) = op1(e11,op1(e11,e12))
& op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13))
& op1(op1(e11,e12),e10) = op1(e11,op1(e12,e10))
& op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11))
& op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12))
& op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13))
& op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10))
& op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11))
& op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12))
& op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13))
& op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10))
& op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11))
& op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12))
& op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13))
& op1(op1(e12,e11),e10) = op1(e12,op1(e11,e10))
& op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11))
& op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12))
& op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13))
& op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10))
& op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11))
& op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12))
& op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13))
& op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10))
& op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11))
& op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12))
& op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13))
& op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10))
& op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11))
& op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12))
& op1(op1(e13,e10),e13) = op1(e13,op1(e10,e13))
& op1(op1(e13,e11),e10) = op1(e13,op1(e11,e10))
& op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11))
& op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12))
& op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13))
& op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10))
& op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11))
& op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12))
& op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13))
& op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10))
& op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11))
& op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12))
& op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax2) ).
fof(ax24,axiom,
( e10 = op1(e13,e13)
& e11 = op1(e12,e13) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax24) ).
fof(ax17,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',ax17) ).
fof(ax19,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',ax19) ).
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(ax20,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',ax20) ).
fof(ax18,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',ax18) ).
fof(ax5,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',ax5) ).
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 ) )
| ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
| ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
| ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
| ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
| ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
| ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
| ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
| ( h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& ( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(e13) = e20 )
& ( h12(e10) = e21
| h12(e11) = e21
| h12(e12) = e21
| h12(e13) = e21 )
& ( h12(e10) = e22
| h12(e11) = e22
| h12(e12) = e22
| h12(e13) = e22 )
& ( h12(e10) = e23
| h12(e11) = e23
| h12(e12) = e23
| h12(e13) = e23 ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).
fof(ax34,axiom,
( h9(e12) = e22
& h9(e13) = e23
& h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax34) ).
fof(c_0_14,plain,
( epred14_0
<=> ( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 ) ) ),
introduced(definition) ).
fof(c_0_15,plain,
( epred13_0
<=> ( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 ) ) ),
introduced(definition) ).
fof(c_0_16,axiom,
( epred14_0
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(apply_def,[status(thm)],[ax22,c_0_14]) ).
cnf(c_0_17,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_18,plain,
e20 = op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax25]) ).
fof(c_0_19,axiom,
( epred13_0
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(apply_def,[status(thm)],[ax23,c_0_15]) ).
fof(c_0_20,plain,
( epred14_0
=> ( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 ) ) ),
inference(split_equiv,[status(thm)],[c_0_14]) ).
fof(c_0_21,plain,
( ( op1(e10,e10) = e13
| epred14_0 )
& ( op1(e11,e11) = e13
| epred14_0 )
& ( op1(e12,e12) = e13
| epred14_0 )
& ( op1(e13,e13) = e13
| epred14_0 ) ),
inference(distribute,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_23,plain,
e10 = op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax24]) ).
cnf(c_0_24,plain,
op1(e13,e10) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_25,plain,
op1(e10,e13) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_26,plain,
e11 = op1(e12,e13),
inference(split_conjunct,[status(thm)],[ax24]) ).
fof(c_0_27,plain,
( epred13_0
=> ( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 ) ) ),
inference(split_equiv,[status(thm)],[c_0_15]) ).
cnf(c_0_28,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_29,plain,
op2(e20,e23) = op2(e23,e20),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_18]) ).
fof(c_0_30,plain,
( ( op2(e20,e20) = e23
| epred13_0 )
& ( op2(e21,e21) = e23
| epred13_0 )
& ( op2(e22,e22) = e23
| epred13_0 )
& ( op2(e23,e23) = e23
| epred13_0 ) ),
inference(distribute,[status(thm)],[c_0_19]) ).
fof(c_0_31,plain,
( ( op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10
| ~ epred14_0 )
& ( op1(e11,e11) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10
| ~ epred14_0 )
& ( op1(e12,e12) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10
| ~ epred14_0 )
& ( op1(e13,e13) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10
| ~ epred14_0 )
& ( op1(e10,e10) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10
| ~ epred14_0 )
& ( op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10
| ~ epred14_0 )
& ( op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10
| ~ epred14_0 )
& ( op1(e13,e13) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10
| ~ epred14_0 )
& ( op1(e10,e10) = e12
| op1(e12,e12) = e11
| op1(e10,e10) = e10
| ~ epred14_0 )
& ( op1(e11,e11) = e12
| op1(e12,e12) = e11
| op1(e10,e10) = e10
| ~ epred14_0 )
& ( op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e10,e10) = e10
| ~ epred14_0 )
& ( op1(e13,e13) = e12
| op1(e12,e12) = e11
| op1(e10,e10) = e10
| ~ epred14_0 )
& ( op1(e10,e10) = e12
| op1(e13,e13) = e11
| op1(e10,e10) = e10
| ~ epred14_0 )
& ( op1(e11,e11) = e12
| op1(e13,e13) = e11
| op1(e10,e10) = e10
| ~ epred14_0 )
& ( op1(e12,e12) = e12
| op1(e13,e13) = e11
| op1(e10,e10) = e10
| ~ epred14_0 )
& ( op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e10,e10) = e10
| ~ epred14_0 )
& ( op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e11,e11) = e10
| ~ epred14_0 )
& ( op1(e11,e11) = e12
| op1(e10,e10) = e11
| op1(e11,e11) = e10
| ~ epred14_0 )
& ( op1(e12,e12) = e12
| op1(e10,e10) = e11
| op1(e11,e11) = e10
| ~ epred14_0 )
& ( op1(e13,e13) = e12
| op1(e10,e10) = e11
| op1(e11,e11) = e10
| ~ epred14_0 )
& ( op1(e10,e10) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10
| ~ epred14_0 )
& ( op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10
| ~ epred14_0 )
& ( op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10
| ~ epred14_0 )
& ( op1(e13,e13) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10
| ~ epred14_0 )
& ( op1(e10,e10) = e12
| op1(e12,e12) = e11
| op1(e11,e11) = e10
| ~ epred14_0 )
& ( op1(e11,e11) = e12
| op1(e12,e12) = e11
| op1(e11,e11) = e10
| ~ epred14_0 )
& ( op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e11,e11) = e10
| ~ epred14_0 )
& ( op1(e13,e13) = e12
| op1(e12,e12) = e11
| op1(e11,e11) = e10
| ~ epred14_0 )
& ( op1(e10,e10) = e12
| op1(e13,e13) = e11
| op1(e11,e11) = e10
| ~ epred14_0 )
& ( op1(e11,e11) = e12
| op1(e13,e13) = e11
| op1(e11,e11) = e10
| ~ epred14_0 )
& ( op1(e12,e12) = e12
| op1(e13,e13) = e11
| op1(e11,e11) = e10
| ~ epred14_0 )
& ( op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e11,e11) = e10
| ~ epred14_0 )
& ( op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e12,e12) = e10
| ~ epred14_0 )
& ( op1(e11,e11) = e12
| op1(e10,e10) = e11
| op1(e12,e12) = e10
| ~ epred14_0 )
& ( op1(e12,e12) = e12
| op1(e10,e10) = e11
| op1(e12,e12) = e10
| ~ epred14_0 )
& ( op1(e13,e13) = e12
| op1(e10,e10) = e11
| op1(e12,e12) = e10
| ~ epred14_0 )
& ( op1(e10,e10) = e12
| op1(e11,e11) = e11
| op1(e12,e12) = e10
| ~ epred14_0 )
& ( op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e12,e12) = e10
| ~ epred14_0 )
& ( op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e12,e12) = e10
| ~ epred14_0 )
& ( op1(e13,e13) = e12
| op1(e11,e11) = e11
| op1(e12,e12) = e10
| ~ epred14_0 )
& ( op1(e10,e10) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10
| ~ epred14_0 )
& ( op1(e11,e11) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10
| ~ epred14_0 )
& ( op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10
| ~ epred14_0 )
& ( op1(e13,e13) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10
| ~ epred14_0 )
& ( op1(e10,e10) = e12
| op1(e13,e13) = e11
| op1(e12,e12) = e10
| ~ epred14_0 )
& ( op1(e11,e11) = e12
| op1(e13,e13) = e11
| op1(e12,e12) = e10
| ~ epred14_0 )
& ( op1(e12,e12) = e12
| op1(e13,e13) = e11
| op1(e12,e12) = e10
| ~ epred14_0 )
& ( op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e12,e12) = e10
| ~ epred14_0 )
& ( op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e13,e13) = e10
| ~ epred14_0 )
& ( op1(e11,e11) = e12
| op1(e10,e10) = e11
| op1(e13,e13) = e10
| ~ epred14_0 )
& ( op1(e12,e12) = e12
| op1(e10,e10) = e11
| op1(e13,e13) = e10
| ~ epred14_0 )
& ( op1(e13,e13) = e12
| op1(e10,e10) = e11
| op1(e13,e13) = e10
| ~ epred14_0 )
& ( op1(e10,e10) = e12
| op1(e11,e11) = e11
| op1(e13,e13) = e10
| ~ epred14_0 )
& ( op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e13,e13) = e10
| ~ epred14_0 )
& ( op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e13,e13) = e10
| ~ epred14_0 )
& ( op1(e13,e13) = e12
| op1(e11,e11) = e11
| op1(e13,e13) = e10
| ~ epred14_0 )
& ( op1(e10,e10) = e12
| op1(e12,e12) = e11
| op1(e13,e13) = e10
| ~ epred14_0 )
& ( op1(e11,e11) = e12
| op1(e12,e12) = e11
| op1(e13,e13) = e10
| ~ epred14_0 )
& ( op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e13,e13) = e10
| ~ epred14_0 )
& ( op1(e13,e13) = e12
| op1(e12,e12) = e11
| op1(e13,e13) = e10
| ~ epred14_0 )
& ( op1(e10,e10) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10
| ~ epred14_0 )
& ( op1(e11,e11) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10
| ~ epred14_0 )
& ( op1(e12,e12) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10
| ~ epred14_0 )
& ( op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10
| ~ epred14_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])]) ).
cnf(c_0_32,plain,
op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_33,plain,
( epred14_0
| op1(e13,e13) = e13 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_34,plain,
e10 != e13,
inference(split_conjunct,[status(thm)],[ax19]) ).
cnf(c_0_35,plain,
op1(e12,e12) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_36,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_37,plain,
op1(e10,e13) = op1(e13,e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_23]) ).
cnf(c_0_38,plain,
op1(e13,e10) != e10,
inference(rw,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_39,plain,
op1(e10,e13) != e11,
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_40,plain,
( ( op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20
| ~ epred13_0 )
& ( op2(e21,e21) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20
| ~ epred13_0 )
& ( op2(e22,e22) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20
| ~ epred13_0 )
& ( op2(e23,e23) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20
| ~ epred13_0 )
& ( op2(e20,e20) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20
| ~ epred13_0 )
& ( op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20
| ~ epred13_0 )
& ( op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20
| ~ epred13_0 )
& ( op2(e23,e23) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20
| ~ epred13_0 )
& ( op2(e20,e20) = e22
| op2(e22,e22) = e21
| op2(e20,e20) = e20
| ~ epred13_0 )
& ( op2(e21,e21) = e22
| op2(e22,e22) = e21
| op2(e20,e20) = e20
| ~ epred13_0 )
& ( op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e20,e20) = e20
| ~ epred13_0 )
& ( op2(e23,e23) = e22
| op2(e22,e22) = e21
| op2(e20,e20) = e20
| ~ epred13_0 )
& ( op2(e20,e20) = e22
| op2(e23,e23) = e21
| op2(e20,e20) = e20
| ~ epred13_0 )
& ( op2(e21,e21) = e22
| op2(e23,e23) = e21
| op2(e20,e20) = e20
| ~ epred13_0 )
& ( op2(e22,e22) = e22
| op2(e23,e23) = e21
| op2(e20,e20) = e20
| ~ epred13_0 )
& ( op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e20,e20) = e20
| ~ epred13_0 )
& ( op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e21,e21) = e20
| ~ epred13_0 )
& ( op2(e21,e21) = e22
| op2(e20,e20) = e21
| op2(e21,e21) = e20
| ~ epred13_0 )
& ( op2(e22,e22) = e22
| op2(e20,e20) = e21
| op2(e21,e21) = e20
| ~ epred13_0 )
& ( op2(e23,e23) = e22
| op2(e20,e20) = e21
| op2(e21,e21) = e20
| ~ epred13_0 )
& ( op2(e20,e20) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20
| ~ epred13_0 )
& ( op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20
| ~ epred13_0 )
& ( op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20
| ~ epred13_0 )
& ( op2(e23,e23) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20
| ~ epred13_0 )
& ( op2(e20,e20) = e22
| op2(e22,e22) = e21
| op2(e21,e21) = e20
| ~ epred13_0 )
& ( op2(e21,e21) = e22
| op2(e22,e22) = e21
| op2(e21,e21) = e20
| ~ epred13_0 )
& ( op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e21,e21) = e20
| ~ epred13_0 )
& ( op2(e23,e23) = e22
| op2(e22,e22) = e21
| op2(e21,e21) = e20
| ~ epred13_0 )
& ( op2(e20,e20) = e22
| op2(e23,e23) = e21
| op2(e21,e21) = e20
| ~ epred13_0 )
& ( op2(e21,e21) = e22
| op2(e23,e23) = e21
| op2(e21,e21) = e20
| ~ epred13_0 )
& ( op2(e22,e22) = e22
| op2(e23,e23) = e21
| op2(e21,e21) = e20
| ~ epred13_0 )
& ( op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e21,e21) = e20
| ~ epred13_0 )
& ( op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e22,e22) = e20
| ~ epred13_0 )
& ( op2(e21,e21) = e22
| op2(e20,e20) = e21
| op2(e22,e22) = e20
| ~ epred13_0 )
& ( op2(e22,e22) = e22
| op2(e20,e20) = e21
| op2(e22,e22) = e20
| ~ epred13_0 )
& ( op2(e23,e23) = e22
| op2(e20,e20) = e21
| op2(e22,e22) = e20
| ~ epred13_0 )
& ( op2(e20,e20) = e22
| op2(e21,e21) = e21
| op2(e22,e22) = e20
| ~ epred13_0 )
& ( op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e22,e22) = e20
| ~ epred13_0 )
& ( op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e22,e22) = e20
| ~ epred13_0 )
& ( op2(e23,e23) = e22
| op2(e21,e21) = e21
| op2(e22,e22) = e20
| ~ epred13_0 )
& ( op2(e20,e20) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20
| ~ epred13_0 )
& ( op2(e21,e21) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20
| ~ epred13_0 )
& ( op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20
| ~ epred13_0 )
& ( op2(e23,e23) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20
| ~ epred13_0 )
& ( op2(e20,e20) = e22
| op2(e23,e23) = e21
| op2(e22,e22) = e20
| ~ epred13_0 )
& ( op2(e21,e21) = e22
| op2(e23,e23) = e21
| op2(e22,e22) = e20
| ~ epred13_0 )
& ( op2(e22,e22) = e22
| op2(e23,e23) = e21
| op2(e22,e22) = e20
| ~ epred13_0 )
& ( op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e22,e22) = e20
| ~ epred13_0 )
& ( op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e23,e23) = e20
| ~ epred13_0 )
& ( op2(e21,e21) = e22
| op2(e20,e20) = e21
| op2(e23,e23) = e20
| ~ epred13_0 )
& ( op2(e22,e22) = e22
| op2(e20,e20) = e21
| op2(e23,e23) = e20
| ~ epred13_0 )
& ( op2(e23,e23) = e22
| op2(e20,e20) = e21
| op2(e23,e23) = e20
| ~ epred13_0 )
& ( op2(e20,e20) = e22
| op2(e21,e21) = e21
| op2(e23,e23) = e20
| ~ epred13_0 )
& ( op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e23,e23) = e20
| ~ epred13_0 )
& ( op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e23,e23) = e20
| ~ epred13_0 )
& ( op2(e23,e23) = e22
| op2(e21,e21) = e21
| op2(e23,e23) = e20
| ~ epred13_0 )
& ( op2(e20,e20) = e22
| op2(e22,e22) = e21
| op2(e23,e23) = e20
| ~ epred13_0 )
& ( op2(e21,e21) = e22
| op2(e22,e22) = e21
| op2(e23,e23) = e20
| ~ epred13_0 )
& ( op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e23,e23) = e20
| ~ epred13_0 )
& ( op2(e23,e23) = e22
| op2(e22,e22) = e21
| op2(e23,e23) = e20
| ~ epred13_0 )
& ( op2(e20,e20) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20
| ~ epred13_0 )
& ( op2(e21,e21) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20
| ~ epred13_0 )
& ( op2(e22,e22) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20
| ~ epred13_0 )
& ( op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20
| ~ epred13_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])]) ).
cnf(c_0_41,plain,
op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_42,plain,
op2(op2(e23,e20),e23) = op2(e20,e20),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29]),c_0_18]) ).
cnf(c_0_43,plain,
( epred13_0
| op2(e23,e23) = e23 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_44,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[ax20]) ).
cnf(c_0_45,plain,
op2(e20,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax18]) ).
cnf(c_0_46,plain,
op2(e20,e23) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[ax18]) ).
cnf(c_0_47,plain,
e21 = op2(e22,e23),
inference(split_conjunct,[status(thm)],[ax25]) ).
cnf(c_0_48,plain,
( op1(e10,e10) = e10
| op1(e12,e12) = e11
| op1(e13,e13) = e12
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_49,plain,
op1(e10,e10) = op1(e13,op1(e13,e10)),
inference(rw,[status(thm)],[c_0_32,c_0_23]) ).
cnf(c_0_50,plain,
epred14_0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_23]),c_0_34]) ).
cnf(c_0_51,plain,
op1(e12,e12) != e11,
inference(rw,[status(thm)],[c_0_35,c_0_26]) ).
cnf(c_0_52,plain,
e10 != e12,
inference(split_conjunct,[status(thm)],[ax19]) ).
cnf(c_0_53,plain,
( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37]),c_0_37]),c_0_37]),c_0_37]),c_0_38]) ).
cnf(c_0_54,plain,
op1(e13,e10) != e11,
inference(rw,[status(thm)],[c_0_39,c_0_37]) ).
cnf(c_0_55,plain,
op1(e13,e12) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_56,plain,
( op2(e20,e20) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_57,plain,
op2(e20,e20) = op2(e23,op2(e23,e20)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42]),c_0_29]) ).
cnf(c_0_58,plain,
epred13_0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_18]),c_0_44]) ).
cnf(c_0_59,plain,
e20 != e21,
inference(split_conjunct,[status(thm)],[ax20]) ).
cnf(c_0_60,plain,
e20 != e22,
inference(split_conjunct,[status(thm)],[ax20]) ).
cnf(c_0_61,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 ),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_62,plain,
op2(e23,e20) != e20,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_29]),c_0_18]) ).
cnf(c_0_63,plain,
op2(e23,e20) != e21,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47]),c_0_29]) ).
cnf(c_0_64,plain,
op2(e23,e22) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax18]) ).
cnf(c_0_65,plain,
op1(e13,e11) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_66,plain,
op1(e13,op1(e13,e10)) = e10,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49]),c_0_23]),c_0_50])]),c_0_51]),c_0_52]) ).
cnf(c_0_67,plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(sr,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_68,plain,
op1(e13,e12) != e10,
inference(rw,[status(thm)],[c_0_55,c_0_23]) ).
cnf(c_0_69,plain,
op2(e23,op2(e23,e20)) = e20,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57]),c_0_18]),c_0_18]),c_0_58])]),c_0_59]),c_0_60]) ).
cnf(c_0_70,plain,
( op2(e23,e20) = e23
| op2(e23,e20) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_62]),c_0_63]) ).
cnf(c_0_71,plain,
op2(e23,e22) != e20,
inference(rw,[status(thm)],[c_0_64,c_0_18]) ).
cnf(c_0_72,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_73,plain,
op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23)),
inference(split_conjunct,[status(thm)],[ax6]) ).
fof(c_0_74,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_75,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_76,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_77,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_78,plain,
( epred5_0
<=> ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_79,plain,
( epred6_0
<=> ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_80,plain,
( epred7_0
<=> ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_81,plain,
( epred8_0
<=> ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_82,plain,
( epred9_0
<=> ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_83,plain,
( epred10_0
<=> ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_84,plain,
( epred11_0
<=> ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_85,plain,
( epred12_0
<=> ( h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& ( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(e13) = e20 )
& ( h12(e10) = e21
| h12(e11) = e21
| h12(e12) = e21
| h12(e13) = e21 )
& ( h12(e10) = e22
| h12(e11) = e22
| h12(e12) = e22
| h12(e13) = e22 ) ) ),
introduced(definition) ).
cnf(c_0_86,plain,
op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_87,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_88,plain,
op1(e13,e11) != e10,
inference(rw,[status(thm)],[c_0_65,c_0_23]) ).
cnf(c_0_89,plain,
op1(e13,e10) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_90,plain,
op1(e13,e10) = e13,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).
cnf(c_0_91,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_92,plain,
( op1(e12,e12) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_93,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[ax19]) ).
cnf(c_0_94,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_95,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 ),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_96,plain,
op2(e23,e20) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[ax18]) ).
cnf(c_0_97,plain,
op2(e23,e20) = e23,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
cnf(c_0_98,plain,
op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_99,plain,
op2(e22,e20) = op2(e21,e23),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_47]),c_0_18]) ).
cnf(c_0_100,plain,
op2(op2(e21,e23),e23) = op2(e21,e20),
inference(rw,[status(thm)],[c_0_73,c_0_18]) ).
fof(c_0_101,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 ) )
| ( epred5_0
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
| ( epred6_0
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
| ( epred7_0
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
| ( epred8_0
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
| ( epred9_0
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
| ( epred10_0
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
| ( epred11_0
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
| ( epred12_0
& ( h12(e10) = e23
| h12(e11) = e23
| h12(e12) = e23
| h12(e13) = e23 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[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_74]),c_0_75]),c_0_76]),c_0_77]),c_0_78]),c_0_79]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]) ).
cnf(c_0_102,plain,
op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_103,plain,
( op1(e11,e11) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_104,plain,
op1(e11,e11) = op1(e12,op1(e13,e11)),
inference(rw,[status(thm)],[c_0_86,c_0_26]) ).
cnf(c_0_105,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11 ),
inference(sr,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_106,plain,
op1(e13,e11) != e13,
inference(rw,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_107,plain,
op1(op1(e12,e12),e13) = op1(e12,e11),
inference(rw,[status(thm)],[c_0_91,c_0_26]) ).
cnf(c_0_108,plain,
op1(e12,e12) = e10,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_49]),c_0_66]),c_0_49]),c_0_66]),c_0_50])]),c_0_93]),c_0_52]) ).
cnf(c_0_109,plain,
op2(e23,e21) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax18]) ).
cnf(c_0_110,plain,
op2(e20,e22) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[ax18]) ).
cnf(c_0_111,plain,
op2(e20,e22) = op2(e23,op2(e23,e22)),
inference(rw,[status(thm)],[c_0_94,c_0_18]) ).
cnf(c_0_112,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21 ),
inference(sr,[status(thm)],[c_0_95,c_0_71]) ).
cnf(c_0_113,plain,
op2(e23,e22) != e23,
inference(rw,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_114,plain,
( op2(e21,e21) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_115,plain,
op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_116,plain,
op2(e22,op2(e23,e20)) = op2(e21,e20),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_99]),c_0_100]),c_0_29]) ).
fof(c_0_117,plain,
( ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 ) )
=> epred9_0 ),
inference(split_equiv,[status(thm)],[c_0_82]) ).
fof(c_0_118,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 )
& ( h5(e10) != e23
| ~ epred5_0 )
& ( h5(e11) != e23
| ~ epred5_0 )
& ( h5(e12) != e23
| ~ epred5_0 )
& ( h5(e13) != e23
| ~ epred5_0 )
& ( h6(e10) != e23
| ~ epred6_0 )
& ( h6(e11) != e23
| ~ epred6_0 )
& ( h6(e12) != e23
| ~ epred6_0 )
& ( h6(e13) != e23
| ~ epred6_0 )
& ( h7(e10) != e23
| ~ epred7_0 )
& ( h7(e11) != e23
| ~ epred7_0 )
& ( h7(e12) != e23
| ~ epred7_0 )
& ( h7(e13) != e23
| ~ epred7_0 )
& ( h8(e10) != e23
| ~ epred8_0 )
& ( h8(e11) != e23
| ~ epred8_0 )
& ( h8(e12) != e23
| ~ epred8_0 )
& ( h8(e13) != e23
| ~ epred8_0 )
& ( h9(e10) != e23
| ~ epred9_0 )
& ( h9(e11) != e23
| ~ epred9_0 )
& ( h9(e12) != e23
| ~ epred9_0 )
& ( h9(e13) != e23
| ~ epred9_0 )
& ( h10(e10) != e23
| ~ epred10_0 )
& ( h10(e11) != e23
| ~ epred10_0 )
& ( h10(e12) != e23
| ~ epred10_0 )
& ( h10(e13) != e23
| ~ epred10_0 )
& ( h11(e10) != e23
| ~ epred11_0 )
& ( h11(e11) != e23
| ~ epred11_0 )
& ( h11(e12) != e23
| ~ epred11_0 )
& ( h11(e13) != e23
| ~ epred11_0 )
& ( h12(e10) != e23
| ~ epred12_0 )
& ( h12(e11) != e23
| ~ epred12_0 )
& ( h12(e12) != e23
| ~ epred12_0 )
& ( h12(e13) != e23
| ~ epred12_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_101])]) ).
cnf(c_0_119,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_120,plain,
op1(e13,e10) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_121,plain,
op1(e10,e11) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_122,plain,
op1(e10,e11) = op1(e13,op1(e13,e11)),
inference(rw,[status(thm)],[c_0_102,c_0_23]) ).
cnf(c_0_123,plain,
op1(e12,op1(e13,e11)) = e10,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_49]),c_0_66]),c_0_49]),c_0_66]),c_0_104]),c_0_50])]),c_0_93]),c_0_52]) ).
cnf(c_0_124,plain,
( op1(e13,e11) = e11
| op1(e13,e11) = e12 ),
inference(sr,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_125,plain,
op1(e12,e11) = op1(e13,e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_108]),c_0_37]) ).
cnf(c_0_126,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 ),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_127,plain,
op2(e23,e21) != e20,
inference(rw,[status(thm)],[c_0_109,c_0_18]) ).
cnf(c_0_128,plain,
op2(e23,e20) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[ax18]) ).
cnf(c_0_129,plain,
op2(e23,op2(e23,e22)) != op2(e23,e22),
inference(rw,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_130,plain,
( op2(e23,e22) = e21
| op2(e23,e22) = e22 ),
inference(sr,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_131,plain,
op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_132,plain,
op2(e21,e21) = e20,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_18]),c_0_18]),c_0_58])]),c_0_59]),c_0_60]) ).
cnf(c_0_133,plain,
op2(e20,e21) = op2(e23,op2(e23,e21)),
inference(rw,[status(thm)],[c_0_115,c_0_18]) ).
cnf(c_0_134,plain,
op2(e21,e20) = e21,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_97]),c_0_47]) ).
cnf(c_0_135,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_136,plain,
( op2(e22,e22) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_137,plain,
( ( h9(e10) != e22
| h9(e10) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e11) != e22
| h9(e10) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e12) != e22
| h9(e10) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e13) != e22
| h9(e10) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e10) != e22
| h9(e11) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e11) != e22
| h9(e11) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e12) != e22
| h9(e11) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e13) != e22
| h9(e11) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e10) != e22
| h9(e12) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e11) != e22
| h9(e12) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e12) != e22
| h9(e12) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e13) != e22
| h9(e12) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e10) != e22
| h9(e13) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e11) != e22
| h9(e13) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e12) != e22
| h9(e13) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e13) != e22
| h9(e13) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e10) != e22
| h9(e10) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e11) != e22
| h9(e10) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e12) != e22
| h9(e10) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e13) != e22
| h9(e10) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e10) != e22
| h9(e11) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e11) != e22
| h9(e11) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e12) != e22
| h9(e11) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e13) != e22
| h9(e11) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e10) != e22
| h9(e12) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e11) != e22
| h9(e12) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e12) != e22
| h9(e12) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e13) != e22
| h9(e12) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e10) != e22
| h9(e13) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e11) != e22
| h9(e13) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e12) != e22
| h9(e13) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e13) != e22
| h9(e13) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e10) != e22
| h9(e10) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e11) != e22
| h9(e10) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e12) != e22
| h9(e10) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e13) != e22
| h9(e10) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e10) != e22
| h9(e11) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e11) != e22
| h9(e11) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e12) != e22
| h9(e11) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e13) != e22
| h9(e11) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e10) != e22
| h9(e12) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e11) != e22
| h9(e12) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e12) != e22
| h9(e12) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e13) != e22
| h9(e12) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e10) != e22
| h9(e13) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e11) != e22
| h9(e13) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e12) != e22
| h9(e13) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e13) != e22
| h9(e13) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e10) != e22
| h9(e10) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e11) != e22
| h9(e10) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e12) != e22
| h9(e10) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e13) != e22
| h9(e10) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e10) != e22
| h9(e11) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e11) != e22
| h9(e11) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e12) != e22
| h9(e11) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e13) != e22
| h9(e11) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e10) != e22
| h9(e12) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e11) != e22
| h9(e12) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e12) != e22
| h9(e12) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e13) != e22
| h9(e12) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e10) != e22
| h9(e13) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e11) != e22
| h9(e13) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e12) != e22
| h9(e13) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 )
& ( h9(e13) != e22
| h9(e13) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred9_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_117])]) ).
cnf(c_0_138,plain,
op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_139,plain,
op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_140,plain,
op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_141,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_142,negated_conjecture,
( ~ epred9_0
| h9(e13) != e23 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_143,plain,
h9(e13) = e23,
inference(split_conjunct,[status(thm)],[ax34]) ).
cnf(c_0_144,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11 ),
inference(sr,[status(thm)],[c_0_119,c_0_68]) ).
cnf(c_0_145,plain,
op1(e13,e12) != e13,
inference(rw,[status(thm)],[c_0_120,c_0_90]) ).
cnf(c_0_146,plain,
op1(e13,op1(e13,e11)) != op1(e13,e11),
inference(rw,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_147,plain,
op1(e13,e11) = e12,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125]),c_0_90]),c_0_34]) ).
cnf(c_0_148,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21 ),
inference(sr,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_149,plain,
op2(e23,e21) != e23,
inference(rw,[status(thm)],[c_0_128,c_0_97]) ).
cnf(c_0_150,plain,
op2(e20,e21) != op2(e20,e22),
inference(split_conjunct,[status(thm)],[ax18]) ).
cnf(c_0_151,plain,
op2(e23,e22) = e21,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_130]) ).
cnf(c_0_152,plain,
op2(e23,op2(e23,e21)) = e21,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_132]),c_0_133]),c_0_132]),c_0_134]) ).
cnf(c_0_153,plain,
op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_154,plain,
op2(op2(e22,e22),e23) = op2(e22,e21),
inference(rw,[status(thm)],[c_0_135,c_0_47]) ).
cnf(c_0_155,plain,
op2(e22,e22) = e20,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_18]),c_0_18]),c_0_58])]),c_0_59]),c_0_60]) ).
cnf(c_0_156,plain,
( epred9_0
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(e10) != e20
| h9(e11) != e21
| h9(e12) != e22 ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_157,plain,
h9(e12) = e22,
inference(split_conjunct,[status(thm)],[ax34]) ).
cnf(c_0_158,plain,
op1(e10,e12) = op1(e13,op1(e13,e12)),
inference(rw,[status(thm)],[c_0_138,c_0_23]) ).
cnf(c_0_159,plain,
op1(e11,e10) = op1(e12,op1(e13,e10)),
inference(rw,[status(thm)],[c_0_139,c_0_26]) ).
cnf(c_0_160,plain,
op1(e11,e12) = op1(e12,op1(e13,e12)),
inference(rw,[status(thm)],[c_0_140,c_0_26]) ).
cnf(c_0_161,plain,
op1(e11,e13) = op1(e12,e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_26]),c_0_23]) ).
cnf(c_0_162,negated_conjecture,
~ epred9_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_143])]) ).
cnf(c_0_163,plain,
h9(e10) = op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax34]) ).
cnf(c_0_164,plain,
( op1(e13,e12) = e11
| op1(e13,e12) = e12 ),
inference(sr,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_165,plain,
op1(e13,e12) != e12,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_147]),c_0_147]) ).
cnf(c_0_166,plain,
h9(e11) = op2(e22,e23),
inference(split_conjunct,[status(thm)],[ax34]) ).
cnf(c_0_167,plain,
( op2(e23,e21) = e21
| op2(e23,e21) = e22 ),
inference(sr,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_168,plain,
op2(e23,e21) != e21,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_133]),c_0_111]),c_0_151]),c_0_152]) ).
cnf(c_0_169,plain,
op2(e22,op2(e23,e22)) = op2(e21,e22),
inference(rw,[status(thm)],[c_0_153,c_0_47]) ).
cnf(c_0_170,plain,
op2(e22,e21) = e23,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_155]),c_0_29]),c_0_97]) ).
cnf(c_0_171,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_172,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_173,plain,
( h9(op1(e13,op1(e13,e11))) != op2(h9(e10),h9(e11))
| h9(op1(e12,op1(e13,e10))) != op2(h9(e11),h9(e10))
| h9(op1(e13,op1(e13,e12))) != op2(h9(e10),e22)
| h9(op1(e12,op1(e13,e12))) != op2(h9(e11),e22)
| h9(op1(e13,e10)) != op2(h9(e10),e23)
| h9(op1(e12,e10)) != op2(h9(e11),e23)
| h9(op1(e12,e10)) != op2(e22,h9(e10))
| h9(op1(e12,e11)) != op2(e22,h9(e11))
| h9(op1(e13,e10)) != op2(e23,h9(e10))
| h9(op1(e13,e11)) != op2(e23,h9(e11))
| op2(h9(e10),h9(e10)) != h9(e10)
| op2(h9(e11),h9(e11)) != h9(e10)
| h9(op1(e13,e12)) != op2(e23,e22)
| h9(e10) != e20
| h9(e11) != e21 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_157]),c_0_49]),c_0_66]),c_0_122]),c_0_158]),c_0_157]),c_0_37]),c_0_143]),c_0_159]),c_0_104]),c_0_123]),c_0_160]),c_0_157]),c_0_161]),c_0_143]),c_0_157]),c_0_157]),c_0_108]),c_0_157]),c_0_157]),c_0_155]),c_0_26]),c_0_157]),c_0_143]),c_0_47]),c_0_143]),c_0_143]),c_0_143]),c_0_157]),c_0_23]),c_0_143]),c_0_143]),c_0_18])]),c_0_162]) ).
cnf(c_0_174,plain,
h9(e10) = e20,
inference(rw,[status(thm)],[c_0_163,c_0_18]) ).
cnf(c_0_175,plain,
op1(e13,e12) = e11,
inference(sr,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_176,plain,
h9(e11) = e21,
inference(rw,[status(thm)],[c_0_166,c_0_47]) ).
cnf(c_0_177,plain,
op2(e23,e21) = e22,
inference(sr,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_178,plain,
op2(e21,e22) = e23,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_151]),c_0_170]) ).
cnf(c_0_179,plain,
op1(e12,e10) = op1(e13,op1(e13,e12)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_108]),c_0_158]),c_0_108]) ).
cnf(c_0_180,plain,
op2(e21,e23) = op2(e23,op2(e23,e22)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_155]),c_0_111]),c_0_155]),c_0_99]) ).
cnf(c_0_181,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_174]),c_0_174]),c_0_174]),c_0_111]),c_0_174]),c_0_29]),c_0_174]),c_0_99]),c_0_174]),c_0_174]),c_0_174]),c_0_57]),c_0_69]),c_0_174]),c_0_174]),c_0_174])]),c_0_147]),c_0_175]),c_0_176]),c_0_176]),c_0_133]),c_0_177]),c_0_151]),c_0_90]),c_0_26]),c_0_176]),c_0_176]),c_0_134]),c_0_175]),c_0_147]),c_0_157]),c_0_151]),c_0_177]),c_0_175]),c_0_125]),c_0_90]),c_0_143]),c_0_176]),c_0_178]),c_0_90]),c_0_143]),c_0_97]),c_0_179]),c_0_175]),c_0_147]),c_0_157]),c_0_176]),c_0_180]),c_0_151]),c_0_177]),c_0_179]),c_0_175]),c_0_147]),c_0_157]),c_0_180]),c_0_151]),c_0_177]),c_0_125]),c_0_90]),c_0_143]),c_0_176]),c_0_170]),c_0_147]),c_0_157]),c_0_176]),c_0_177]),c_0_176]),c_0_176]),c_0_132]),c_0_175]),c_0_176]),c_0_151]),c_0_176])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG015+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 8 10:17:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.25/1.43 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.43 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.43 # Preprocessing time : 0.359 s
% 0.25/1.43
% 0.25/1.43 # Proof found!
% 0.25/1.43 # SZS status Theorem
% 0.25/1.43 # SZS output start CNFRefutation
% See solution above
% 0.25/1.43 # Proof object total steps : 182
% 0.25/1.43 # Proof object clause steps : 142
% 0.25/1.43 # Proof object formula steps : 40
% 0.25/1.43 # Proof object conjectures : 5
% 0.25/1.43 # Proof object clause conjectures : 2
% 0.25/1.43 # Proof object formula conjectures : 3
% 0.25/1.43 # Proof object initial clauses used : 68
% 0.25/1.43 # Proof object initial formulas used : 14
% 0.25/1.43 # Proof object generating inferences : 4
% 0.25/1.43 # Proof object simplifying inferences : 259
% 0.25/1.43 # Training examples: 0 positive, 0 negative
% 0.25/1.43 # Parsed axioms : 38
% 0.25/1.43 # Removed by relevancy pruning/SinE : 12
% 0.25/1.43 # Initial clauses : 1288
% 0.25/1.43 # Removed in clause preprocessing : 0
% 0.25/1.43 # Initial clauses in saturation : 1288
% 0.25/1.43 # Processed clauses : 1526
% 0.25/1.43 # ...of these trivial : 131
% 0.25/1.43 # ...subsumed : 884
% 0.25/1.43 # ...remaining for further processing : 510
% 0.25/1.43 # Other redundant clauses eliminated : 0
% 0.25/1.43 # Clauses deleted for lack of memory : 0
% 0.25/1.43 # Backward-subsumed : 26
% 0.25/1.43 # Backward-rewritten : 346
% 0.25/1.43 # Generated clauses : 348
% 0.25/1.43 # ...of the previous two non-trivial : 658
% 0.25/1.43 # Contextual simplify-reflections : 522
% 0.25/1.43 # Paramodulations : 281
% 0.25/1.43 # Factorizations : 54
% 0.25/1.43 # Equation resolutions : 0
% 0.25/1.43 # Current number of processed clauses : 125
% 0.25/1.43 # Positive orientable unit clauses : 82
% 0.25/1.43 # Positive unorientable unit clauses: 0
% 0.25/1.43 # Negative unit clauses : 36
% 0.25/1.43 # Non-unit-clauses : 7
% 0.25/1.43 # Current number of unprocessed clauses: 133
% 0.25/1.43 # ...number of literals in the above : 307
% 0.25/1.43 # Current number of archived formulas : 0
% 0.25/1.43 # Current number of archived clauses : 385
% 0.25/1.43 # Clause-clause subsumption calls (NU) : 145176
% 0.25/1.43 # Rec. Clause-clause subsumption calls : 1083
% 0.25/1.43 # Non-unit clause-clause subsumptions : 799
% 0.25/1.43 # Unit Clause-clause subsumption calls : 1346
% 0.25/1.43 # Rewrite failures with RHS unbound : 0
% 0.25/1.43 # BW rewrite match attempts : 58
% 0.25/1.43 # BW rewrite match successes : 47
% 0.25/1.43 # Condensation attempts : 0
% 0.25/1.43 # Condensation successes : 0
% 0.25/1.43 # Termbank termtop insertions : 303803
% 0.25/1.43
% 0.25/1.43 # -------------------------------------------------
% 0.25/1.43 # User time : 0.509 s
% 0.25/1.43 # System time : 0.007 s
% 0.25/1.43 # Total time : 0.516 s
% 0.25/1.43 # Maximum resident set size: 8032 pages
%------------------------------------------------------------------------------