TSTP Solution File: ALG110+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ALG110+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 16:48:17 EDT 2022
% Result : Theorem 0.26s 1.49s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of formulae : 214 ( 108 unt; 0 def)
% Number of atoms : 3037 (2945 equ)
% Maximal formula atoms : 1280 ( 14 avg)
% Number of connectives : 4622 (1799 ~;2218 |; 600 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 84 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax12,axiom,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e13 = op1(e12,e12) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax12) ).
fof(ax10,axiom,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) != e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) != e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) != e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) != e10 ) )
& ( ( op1(e10,e11) = e10
& op1(e11,e10) != e11 )
| ( op1(e11,e11) = e11
& op1(e11,e11) != e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) != e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) != e11 ) )
& ( ( op1(e10,e12) = e10
& op1(e12,e10) != e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) != e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) != e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) != e12 ) )
& ( ( op1(e10,e13) = e10
& op1(e13,e10) != e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) != e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) != e13 )
| ( op1(e13,e13) = e13
& op1(e13,e13) != e13 ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax10) ).
fof(ax2,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax2) ).
fof(ax7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax7) ).
fof(ax5,axiom,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax5) ).
fof(ax13,axiom,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax13) ).
fof(ax6,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax6) ).
fof(ax11,axiom,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) != e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) != e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) != e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) != e20 ) )
& ( ( op2(e20,e21) = e20
& op2(e21,e20) != e21 )
| ( op2(e21,e21) = e21
& op2(e21,e21) != e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) != e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) != e21 ) )
& ( ( op2(e20,e22) = e20
& op2(e22,e20) != e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) != e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) != e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) != e22 ) )
& ( ( op2(e20,e23) = e20
& op2(e23,e20) != e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) != e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) != e23 )
| ( op2(e23,e23) = e23
& op2(e23,e23) != e23 ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax11) ).
fof(ax4,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax4) ).
fof(ax8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax8) ).
fof(co1,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).
fof(ax16,axiom,
( h3(e12) = e22
& h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e13) = op2(e22,e22) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax16) ).
fof(ax3,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax3) ).
cnf(c_0_13,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_14,plain,
e13 = op1(e12,e12),
inference(split_conjunct,[status(thm)],[ax12]) ).
fof(c_0_15,plain,
( ( op1(e13,e10) = e13
| op1(e12,e10) = e12
| op1(e11,e10) = e11
| op1(e10,e10) = e10 )
& ( op1(e10,e13) != e10
| op1(e12,e10) = e12
| op1(e11,e10) = e11
| op1(e10,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e10,e12) != e10
| op1(e11,e10) = e11
| op1(e10,e10) = e10 )
& ( op1(e10,e13) != e10
| op1(e10,e12) != e10
| op1(e11,e10) = e11
| op1(e10,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e12
| op1(e10,e11) != e10
| op1(e10,e10) = e10 )
& ( op1(e10,e13) != e10
| op1(e12,e10) = e12
| op1(e10,e11) != e10
| op1(e10,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e10,e12) != e10
| op1(e10,e11) != e10
| op1(e10,e10) = e10 )
& ( op1(e10,e13) != e10
| op1(e10,e12) != e10
| op1(e10,e11) != e10
| op1(e10,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e12
| op1(e11,e10) = e11
| op1(e10,e10) != e10 )
& ( op1(e10,e13) != e10
| op1(e12,e10) = e12
| op1(e11,e10) = e11
| op1(e10,e10) != e10 )
& ( op1(e13,e10) = e13
| op1(e10,e12) != e10
| op1(e11,e10) = e11
| op1(e10,e10) != e10 )
& ( op1(e10,e13) != e10
| op1(e10,e12) != e10
| op1(e11,e10) = e11
| op1(e10,e10) != e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e12
| op1(e10,e11) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e13) != e10
| op1(e12,e10) = e12
| op1(e10,e11) != e10
| op1(e10,e10) != e10 )
& ( op1(e13,e10) = e13
| op1(e10,e12) != e10
| op1(e10,e11) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e13) != e10
| op1(e10,e12) != e10
| op1(e10,e11) != e10
| op1(e10,e10) != e10 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e12
| op1(e11,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e11,e13) != e11
| op1(e12,e11) = e12
| op1(e11,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e13,e11) = e13
| op1(e11,e12) != e11
| op1(e11,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e11,e13) != e11
| op1(e11,e12) != e11
| op1(e11,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e12
| op1(e11,e11) != e11
| op1(e10,e11) = e10 )
& ( op1(e11,e13) != e11
| op1(e12,e11) = e12
| op1(e11,e11) != e11
| op1(e10,e11) = e10 )
& ( op1(e13,e11) = e13
| op1(e11,e12) != e11
| op1(e11,e11) != e11
| op1(e10,e11) = e10 )
& ( op1(e11,e13) != e11
| op1(e11,e12) != e11
| op1(e11,e11) != e11
| op1(e10,e11) = e10 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e10) != e11 )
& ( op1(e11,e13) != e11
| op1(e12,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e10) != e11 )
& ( op1(e13,e11) = e13
| op1(e11,e12) != e11
| op1(e11,e11) = e11
| op1(e11,e10) != e11 )
& ( op1(e11,e13) != e11
| op1(e11,e12) != e11
| op1(e11,e11) = e11
| op1(e11,e10) != e11 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e12
| op1(e11,e11) != e11
| op1(e11,e10) != e11 )
& ( op1(e11,e13) != e11
| op1(e12,e11) = e12
| op1(e11,e11) != e11
| op1(e11,e10) != e11 )
& ( op1(e13,e11) = e13
| op1(e11,e12) != e11
| op1(e11,e11) != e11
| op1(e11,e10) != e11 )
& ( op1(e11,e13) != e11
| op1(e11,e12) != e11
| op1(e11,e11) != e11
| op1(e11,e10) != e11 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e12
| op1(e11,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e12,e13) != e12
| op1(e12,e12) = e12
| op1(e11,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) != e12
| op1(e11,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e12
| op1(e11,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e11) != e12
| op1(e10,e12) = e10 )
& ( op1(e12,e13) != e12
| op1(e12,e12) = e12
| op1(e12,e11) != e12
| op1(e10,e12) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) != e12
| op1(e12,e11) != e12
| op1(e10,e12) = e10 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e12
| op1(e12,e11) != e12
| op1(e10,e12) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e12
| op1(e11,e12) = e11
| op1(e12,e10) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) = e12
| op1(e11,e12) = e11
| op1(e12,e10) != e12 )
& ( op1(e13,e12) = e13
| op1(e12,e12) != e12
| op1(e11,e12) = e11
| op1(e12,e10) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e12
| op1(e11,e12) = e11
| op1(e12,e10) != e12 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e11) != e12
| op1(e12,e10) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) = e12
| op1(e12,e11) != e12
| op1(e12,e10) != e12 )
& ( op1(e13,e12) = e13
| op1(e12,e12) != e12
| op1(e12,e11) != e12
| op1(e12,e10) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e12
| op1(e12,e11) != e12
| op1(e12,e10) != e12 )
& ( op1(e13,e13) = e13
| op1(e12,e13) = e12
| op1(e11,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e13,e13) != e13
| op1(e12,e13) = e12
| op1(e11,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e13
| op1(e13,e12) != e13
| op1(e11,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e13,e13) != e13
| op1(e13,e12) != e13
| op1(e11,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e13
| op1(e12,e13) = e12
| op1(e13,e11) != e13
| op1(e10,e13) = e10 )
& ( op1(e13,e13) != e13
| op1(e12,e13) = e12
| op1(e13,e11) != e13
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e13
| op1(e13,e12) != e13
| op1(e13,e11) != e13
| op1(e10,e13) = e10 )
& ( op1(e13,e13) != e13
| op1(e13,e12) != e13
| op1(e13,e11) != e13
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e13
| op1(e12,e13) = e12
| op1(e11,e13) = e11
| op1(e13,e10) != e13 )
& ( op1(e13,e13) != e13
| op1(e12,e13) = e12
| op1(e11,e13) = e11
| op1(e13,e10) != e13 )
& ( op1(e13,e13) = e13
| op1(e13,e12) != e13
| op1(e11,e13) = e11
| op1(e13,e10) != e13 )
& ( op1(e13,e13) != e13
| op1(e13,e12) != e13
| op1(e11,e13) = e11
| op1(e13,e10) != e13 )
& ( op1(e13,e13) = e13
| op1(e12,e13) = e12
| op1(e13,e11) != e13
| op1(e13,e10) != e13 )
& ( op1(e13,e13) != e13
| op1(e12,e13) = e12
| op1(e13,e11) != e13
| op1(e13,e10) != e13 )
& ( op1(e13,e13) = e13
| op1(e13,e12) != e13
| op1(e13,e11) != e13
| op1(e13,e10) != e13 )
& ( op1(e13,e13) != e13
| op1(e13,e12) != e13
| op1(e13,e11) != e13
| op1(e13,e10) != e13 ) ),
inference(distribute,[status(thm)],[ax10]) ).
cnf(c_0_16,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_17,plain,
op1(e13,e13) = e10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_14]) ).
cnf(c_0_18,plain,
e10 != e13,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_19,plain,
op1(e12,e12) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_20,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_21,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e12,e12) = e12
| op1(e13,e12) = e13 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
e12 != e13,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_23,plain,
op1(e12,e12) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_24,plain,
( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_25,plain,
op1(e13,e12) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_26,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e11
| op1(e12,e13) = e12
| op1(e13,e13) = e13 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_27,plain,
op1(e10,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_28,plain,
( op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_29,plain,
op1(e12,e13) != e13,
inference(rw,[status(thm)],[c_0_19,c_0_14]) ).
cnf(c_0_30,plain,
op1(e10,e13) = e11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_14]),c_0_14]),c_0_17]),c_0_14]) ).
cnf(c_0_31,plain,
e11 != e13,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_32,plain,
( op1(e13,e12) = e13
| op1(e11,e12) = e11
| op1(e10,e12) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_14]),c_0_22]) ).
cnf(c_0_33,plain,
op1(e13,e12) != e13,
inference(rw,[status(thm)],[c_0_23,c_0_14]) ).
cnf(c_0_34,plain,
( op1(e13,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_14]),c_0_18]) ).
cnf(c_0_35,plain,
op1(e13,e12) != e10,
inference(rw,[status(thm)],[c_0_25,c_0_17]) ).
cnf(c_0_36,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_37,plain,
e23 = op2(e22,e22),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_38,plain,
( op1(e12,e13) = e12
| op1(e11,e13) = e11
| op1(e10,e13) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_17]),c_0_18]) ).
cnf(c_0_39,plain,
op1(e10,e13) != e10,
inference(rw,[status(thm)],[c_0_27,c_0_17]) ).
cnf(c_0_40,plain,
op1(e11,e13) = e13,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31]) ).
cnf(c_0_41,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11 ),
inference(sr,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_42,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10 ),
inference(sr,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_43,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_44,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_45,plain,
op2(e23,e23) = e20,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37]),c_0_37]) ).
cnf(c_0_46,plain,
op2(e22,e22) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
fof(c_0_47,plain,
( ( op2(e23,e20) = e23
| op2(e22,e20) = e22
| op2(e21,e20) = e21
| op2(e20,e20) = e20 )
& ( op2(e20,e23) != e20
| op2(e22,e20) = e22
| op2(e21,e20) = e21
| op2(e20,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e20,e22) != e20
| op2(e21,e20) = e21
| op2(e20,e20) = e20 )
& ( op2(e20,e23) != e20
| op2(e20,e22) != e20
| op2(e21,e20) = e21
| op2(e20,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e22
| op2(e20,e21) != e20
| op2(e20,e20) = e20 )
& ( op2(e20,e23) != e20
| op2(e22,e20) = e22
| op2(e20,e21) != e20
| op2(e20,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e20,e22) != e20
| op2(e20,e21) != e20
| op2(e20,e20) = e20 )
& ( op2(e20,e23) != e20
| op2(e20,e22) != e20
| op2(e20,e21) != e20
| op2(e20,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e22
| op2(e21,e20) = e21
| op2(e20,e20) != e20 )
& ( op2(e20,e23) != e20
| op2(e22,e20) = e22
| op2(e21,e20) = e21
| op2(e20,e20) != e20 )
& ( op2(e23,e20) = e23
| op2(e20,e22) != e20
| op2(e21,e20) = e21
| op2(e20,e20) != e20 )
& ( op2(e20,e23) != e20
| op2(e20,e22) != e20
| op2(e21,e20) = e21
| op2(e20,e20) != e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e22
| op2(e20,e21) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e23) != e20
| op2(e22,e20) = e22
| op2(e20,e21) != e20
| op2(e20,e20) != e20 )
& ( op2(e23,e20) = e23
| op2(e20,e22) != e20
| op2(e20,e21) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e23) != e20
| op2(e20,e22) != e20
| op2(e20,e21) != e20
| op2(e20,e20) != e20 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e22
| op2(e21,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e21,e23) != e21
| op2(e22,e21) = e22
| op2(e21,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e23,e21) = e23
| op2(e21,e22) != e21
| op2(e21,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e21,e23) != e21
| op2(e21,e22) != e21
| op2(e21,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e22
| op2(e21,e21) != e21
| op2(e20,e21) = e20 )
& ( op2(e21,e23) != e21
| op2(e22,e21) = e22
| op2(e21,e21) != e21
| op2(e20,e21) = e20 )
& ( op2(e23,e21) = e23
| op2(e21,e22) != e21
| op2(e21,e21) != e21
| op2(e20,e21) = e20 )
& ( op2(e21,e23) != e21
| op2(e21,e22) != e21
| op2(e21,e21) != e21
| op2(e20,e21) = e20 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e20) != e21 )
& ( op2(e21,e23) != e21
| op2(e22,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e20) != e21 )
& ( op2(e23,e21) = e23
| op2(e21,e22) != e21
| op2(e21,e21) = e21
| op2(e21,e20) != e21 )
& ( op2(e21,e23) != e21
| op2(e21,e22) != e21
| op2(e21,e21) = e21
| op2(e21,e20) != e21 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e22
| op2(e21,e21) != e21
| op2(e21,e20) != e21 )
& ( op2(e21,e23) != e21
| op2(e22,e21) = e22
| op2(e21,e21) != e21
| op2(e21,e20) != e21 )
& ( op2(e23,e21) = e23
| op2(e21,e22) != e21
| op2(e21,e21) != e21
| op2(e21,e20) != e21 )
& ( op2(e21,e23) != e21
| op2(e21,e22) != e21
| op2(e21,e21) != e21
| op2(e21,e20) != e21 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e22
| op2(e21,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e22,e23) != e22
| op2(e22,e22) = e22
| op2(e21,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) != e22
| op2(e21,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e22
| op2(e21,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e21) != e22
| op2(e20,e22) = e20 )
& ( op2(e22,e23) != e22
| op2(e22,e22) = e22
| op2(e22,e21) != e22
| op2(e20,e22) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) != e22
| op2(e22,e21) != e22
| op2(e20,e22) = e20 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e22
| op2(e22,e21) != e22
| op2(e20,e22) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e22
| op2(e21,e22) = e21
| op2(e22,e20) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) = e22
| op2(e21,e22) = e21
| op2(e22,e20) != e22 )
& ( op2(e23,e22) = e23
| op2(e22,e22) != e22
| op2(e21,e22) = e21
| op2(e22,e20) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e22
| op2(e21,e22) = e21
| op2(e22,e20) != e22 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e21) != e22
| op2(e22,e20) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) = e22
| op2(e22,e21) != e22
| op2(e22,e20) != e22 )
& ( op2(e23,e22) = e23
| op2(e22,e22) != e22
| op2(e22,e21) != e22
| op2(e22,e20) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e22
| op2(e22,e21) != e22
| op2(e22,e20) != e22 )
& ( op2(e23,e23) = e23
| op2(e22,e23) = e22
| op2(e21,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e23,e23) != e23
| op2(e22,e23) = e22
| op2(e21,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e23
| op2(e23,e22) != e23
| op2(e21,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e23,e23) != e23
| op2(e23,e22) != e23
| op2(e21,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e23
| op2(e22,e23) = e22
| op2(e23,e21) != e23
| op2(e20,e23) = e20 )
& ( op2(e23,e23) != e23
| op2(e22,e23) = e22
| op2(e23,e21) != e23
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e23
| op2(e23,e22) != e23
| op2(e23,e21) != e23
| op2(e20,e23) = e20 )
& ( op2(e23,e23) != e23
| op2(e23,e22) != e23
| op2(e23,e21) != e23
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e23
| op2(e22,e23) = e22
| op2(e21,e23) = e21
| op2(e23,e20) != e23 )
& ( op2(e23,e23) != e23
| op2(e22,e23) = e22
| op2(e21,e23) = e21
| op2(e23,e20) != e23 )
& ( op2(e23,e23) = e23
| op2(e23,e22) != e23
| op2(e21,e23) = e21
| op2(e23,e20) != e23 )
& ( op2(e23,e23) != e23
| op2(e23,e22) != e23
| op2(e21,e23) = e21
| op2(e23,e20) != e23 )
& ( op2(e23,e23) = e23
| op2(e22,e23) = e22
| op2(e23,e21) != e23
| op2(e23,e20) != e23 )
& ( op2(e23,e23) != e23
| op2(e22,e23) = e22
| op2(e23,e21) != e23
| op2(e23,e20) != e23 )
& ( op2(e23,e23) = e23
| op2(e23,e22) != e23
| op2(e23,e21) != e23
| op2(e23,e20) != e23 )
& ( op2(e23,e23) != e23
| op2(e23,e22) != e23
| op2(e23,e21) != e23
| op2(e23,e20) != e23 ) ),
inference(distribute,[status(thm)],[ax11]) ).
cnf(c_0_48,plain,
op2(e22,e22) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_49,plain,
op2(e23,e22) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_50,plain,
( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13
| op1(e11,e11) != e11 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_51,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_52,plain,
op1(e12,e11) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_53,plain,
op1(e12,e13) = e12,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_31]) ).
cnf(c_0_54,plain,
op1(e10,e11) != op1(e10,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_55,plain,
op1(e10,e12) = e10,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_56,plain,
op2(e20,e22) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_57,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_58,plain,
op2(e20,e23) = e21,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_37]),c_0_37]),c_0_45]),c_0_37]) ).
cnf(c_0_59,plain,
e21 != e23,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_60,plain,
op2(e22,e23) != e23,
inference(rw,[status(thm)],[c_0_46,c_0_37]) ).
cnf(c_0_61,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_62,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e22,e22) = e22
| op2(e23,e22) = e23 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_63,plain,
e22 != e23,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_64,plain,
op2(e23,e22) != e23,
inference(rw,[status(thm)],[c_0_48,c_0_37]) ).
cnf(c_0_65,plain,
( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_66,plain,
op2(e23,e22) != e20,
inference(rw,[status(thm)],[c_0_49,c_0_45]) ).
fof(c_0_67,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_68,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_69,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_70,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) ).
cnf(c_0_71,plain,
( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_72,plain,
op1(e10,e12) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_73,plain,
( op1(e11,e10) = e11
| op1(e13,e10) = e13
| op1(e10,e10) != e10
| op1(e10,e12) != e10 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_74,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e11
| op1(e13,e10) = e13
| op1(e10,e12) != e10 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_75,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e12
| op1(e10,e11) = e10 ),
inference(csr,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_76,plain,
op1(e12,e11) != e12,
inference(rw,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_77,plain,
op1(e10,e11) != e10,
inference(rw,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_78,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_79,plain,
op2(e20,e22) != e23,
inference(rw,[status(thm)],[c_0_56,c_0_37]) ).
cnf(c_0_80,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22
| op2(e23,e23) = e23 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_81,plain,
op2(e21,e23) = e23,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58]),c_0_45]),c_0_59]),c_0_60]),c_0_61]) ).
cnf(c_0_82,plain,
e20 != e21,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_83,plain,
( op2(e21,e22) = e21
| op2(e20,e22) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_37]),c_0_63]),c_0_64]) ).
cnf(c_0_84,plain,
( op2(e21,e22) = e20
| op2(e20,e22) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_37]),c_0_61]),c_0_66]) ).
fof(c_0_85,plain,
( ( 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 ) )
=> epred3_0 ),
inference(split_equiv,[status(thm)],[c_0_67]) ).
fof(c_0_86,negated_conjecture,
~ ( ( epred1_0
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( epred2_0
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( epred3_0
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( epred4_0
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[co1]),c_0_68]),c_0_69]),c_0_67]),c_0_70]) ).
cnf(c_0_87,plain,
( op1(e13,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_14]),c_0_31]) ).
cnf(c_0_88,plain,
op1(e10,e12) != e11,
inference(rw,[status(thm)],[c_0_72,c_0_30]) ).
cnf(c_0_89,plain,
( op1(e13,e10) = e13
| op1(e11,e10) = e11
| op1(e10,e12) != e10 ),
inference(csr,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_90,plain,
op1(e13,e10) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_91,plain,
op1(e13,e11) = e13,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
cnf(c_0_92,plain,
( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_93,plain,
op1(e12,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_94,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_95,plain,
op1(e10,e13) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_96,plain,
op2(e20,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_97,plain,
( op2(e20,e21) = e23
| op2(e20,e20) = e23 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_58]),c_0_79]),c_0_59]) ).
cnf(c_0_98,plain,
( op2(e20,e21) = e20
| op2(e22,e21) = e22
| op2(e23,e21) = e23
| op2(e21,e21) != e21 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_99,plain,
( op2(e20,e21) = e20
| op2(e21,e21) = e21
| op2(e22,e21) = e22
| op2(e23,e21) = e23 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_100,plain,
op2(e22,e21) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_101,plain,
op2(e22,e23) = e22,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_58]),c_0_81]),c_0_45]),c_0_82]),c_0_59]),c_0_61]) ).
cnf(c_0_102,plain,
op2(e20,e21) != op2(e20,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_103,plain,
op2(e20,e22) = e20,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_82]) ).
fof(c_0_104,plain,
( ( h3(e10) != e22
| h3(e10) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e10) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e10) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e10) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e11) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e11) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e11) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e11) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e12) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e12) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e12) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e12) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e13) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e13) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e13) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e13) != e21
| h3(e10) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e10) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e10) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e10) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e10) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e11) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e11) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e11) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e11) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e12) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e12) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e12) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e12) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e13) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e13) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e13) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e13) != e21
| h3(e11) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e10) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e10) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e10) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e10) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e11) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e11) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e11) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e11) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e12) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e12) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e12) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e12) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e13) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e13) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e13) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e13) != e21
| h3(e12) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e10) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e10) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e10) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e10) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e11) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e11) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e11) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e11) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e12) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e12) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e12) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e12) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e10) != e22
| h3(e13) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e11) != e22
| h3(e13) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e12) != e22
| h3(e13) != e21
| h3(e13) != e20
| 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))
| epred3_0 )
& ( h3(e13) != e22
| h3(e13) != e21
| h3(e13) != e20
| 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))
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])]) ).
cnf(c_0_105,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(split_conjunct,[status(thm)],[ax16]) ).
fof(c_0_106,negated_conjecture,
( ( h1(e10) != e23
| ~ epred1_0 )
& ( h1(e11) != e23
| ~ epred1_0 )
& ( h1(e12) != e23
| ~ epred1_0 )
& ( h1(e13) != e23
| ~ epred1_0 )
& ( h2(e10) != e23
| ~ epred2_0 )
& ( h2(e11) != e23
| ~ epred2_0 )
& ( h2(e12) != e23
| ~ epred2_0 )
& ( h2(e13) != e23
| ~ epred2_0 )
& ( h3(e10) != e23
| ~ epred3_0 )
& ( h3(e11) != e23
| ~ epred3_0 )
& ( h3(e12) != e23
| ~ epred3_0 )
& ( h3(e13) != e23
| ~ epred3_0 )
& ( h4(e10) != e23
| ~ epred4_0 )
& ( h4(e11) != e23
| ~ epred4_0 )
& ( h4(e12) != e23
| ~ epred4_0 )
& ( h4(e13) != e23
| ~ epred4_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])]) ).
cnf(c_0_107,plain,
op1(e11,e10) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_108,plain,
( op1(e11,e12) = e11
| op1(e13,e12) = e11 ),
inference(sr,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_109,plain,
( op1(e11,e10) = e11
| op1(e13,e10) = e13 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_55])]) ).
cnf(c_0_110,plain,
op1(e13,e10) != e13,
inference(rw,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_111,plain,
( op1(e12,e13) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_14]),c_0_18]) ).
cnf(c_0_112,plain,
op1(e12,e13) != e10,
inference(rw,[status(thm)],[c_0_93,c_0_17]) ).
cnf(c_0_113,plain,
( op1(e12,e13) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_14]),c_0_31]) ).
cnf(c_0_114,plain,
op1(e12,e13) != e11,
inference(rw,[status(thm)],[c_0_95,c_0_30]) ).
cnf(c_0_115,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_116,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e21
| op2(e23,e20) = e23
| op2(e20,e22) != e20 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_117,plain,
( op2(e21,e20) = e21
| op2(e23,e20) = e23
| op2(e20,e20) != e20
| op2(e20,e22) != e20 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_118,plain,
op2(e20,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_119,plain,
( op2(e20,e20) = e23
| op2(e23,e21) != e23 ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_120,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e22
| op2(e20,e21) = e20 ),
inference(csr,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_121,plain,
op2(e22,e21) != e22,
inference(rw,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_122,plain,
op2(e20,e21) != e20,
inference(rw,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_123,plain,
( epred3_0
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(e10) != e20
| h3(e11) != e21
| h3(e12) != e22 ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_124,plain,
h3(e11) = op2(op2(e23,e23),e23),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_37]),c_0_37]),c_0_37]) ).
cnf(c_0_125,plain,
h3(e12) = e22,
inference(split_conjunct,[status(thm)],[ax16]) ).
cnf(c_0_126,negated_conjecture,
( ~ epred3_0
| h3(e13) != e23 ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_127,plain,
h3(e13) = op2(e22,e22),
inference(split_conjunct,[status(thm)],[ax16]) ).
cnf(c_0_128,plain,
h3(e10) = op2(op2(e22,e22),op2(e22,e22)),
inference(split_conjunct,[status(thm)],[ax16]) ).
cnf(c_0_129,plain,
( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_130,plain,
e10 != e12,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_131,plain,
( op1(e13,e12) = e11
| op1(e11,e10) != e11 ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_132,plain,
op1(e11,e10) = e11,
inference(sr,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_133,plain,
( op1(e12,e10) = e10
| op1(e12,e11) = e10 ),
inference(sr,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_134,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11 ),
inference(sr,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_135,plain,
op1(e11,e10) != op1(e12,e10),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_136,plain,
( op1(e13,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_14]),c_0_22]) ).
cnf(c_0_137,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_138,plain,
( op2(e23,e20) = e23
| op2(e21,e20) = e21
| op2(e20,e22) != e20 ),
inference(csr,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_139,plain,
( op2(e23,e20) != e23
| op2(e23,e21) != e23 ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_140,plain,
op2(e23,e21) = e23,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_120,c_0_121]),c_0_122]) ).
cnf(c_0_141,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),e21)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e11,e10)) != op2(e21,h3(e10))
| h3(op1(e11,e13)) != op2(e21,h3(e13))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e12,e13)) != op2(e22,h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),e21)
| h3(op1(e13,e12)) != op2(h3(e13),e22)
| h3(op1(e11,e11)) != op2(e21,e21)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(e10) != op2(h3(e13),h3(e13))
| op2(h3(e10),h3(e13)) != e21
| h3(e10) != e20
| h3(e13) != e23 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_123,c_0_124]),c_0_45]),c_0_58]),c_0_125]),c_0_124]),c_0_45]),c_0_58]),c_0_125]),c_0_30]),c_0_124]),c_0_45]),c_0_58]),c_0_124]),c_0_45]),c_0_58]),c_0_124]),c_0_45]),c_0_58]),c_0_124]),c_0_45]),c_0_58]),c_0_124]),c_0_45]),c_0_58]),c_0_125]),c_0_124]),c_0_45]),c_0_58]),c_0_125]),c_0_125]),c_0_124]),c_0_45]),c_0_58]),c_0_14]),c_0_125]),c_0_125]),c_0_37]),c_0_125]),c_0_124]),c_0_45]),c_0_58]),c_0_125]),c_0_17])]),c_0_126]) ).
cnf(c_0_142,plain,
h3(e13) = e23,
inference(rw,[status(thm)],[c_0_127,c_0_37]) ).
cnf(c_0_143,plain,
h3(e10) = e20,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_37]),c_0_37]),c_0_45]) ).
cnf(c_0_144,plain,
( op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_17]),c_0_130]) ).
cnf(c_0_145,plain,
op1(e13,e12) = e11,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_132])]) ).
cnf(c_0_146,plain,
e11 != e12,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_147,plain,
( op1(e12,e10) = e11
| op1(e12,e10) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_43]) ).
cnf(c_0_148,plain,
op1(e12,e10) != e11,
inference(rw,[status(thm)],[c_0_135,c_0_132]) ).
cnf(c_0_149,plain,
( op1(e11,e12) = e12
| op1(e13,e12) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_55]),c_0_130]) ).
cnf(c_0_150,plain,
op2(e23,e20) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_151,plain,
( op2(e23,e22) = e22
| op2(e23,e22) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_137,c_0_66]),c_0_64]) ).
cnf(c_0_152,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_153,plain,
e21 != e22,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_154,plain,
( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_155,plain,
e20 != e22,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_156,plain,
( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_157,plain,
( op2(e21,e20) = e21
| op2(e23,e20) = e23 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_103])]) ).
cnf(c_0_158,plain,
op2(e23,e20) != e23,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_140])]) ).
cnf(c_0_159,plain,
( h3(op1(e10,e10)) != op2(e20,e20)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e12)) != op2(e23,e22)
| h3(op1(e11,e11)) != op2(e21,e21)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e12,e11)) != op2(e22,e21) ),
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(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)],[c_0_141,c_0_142]),c_0_142]),c_0_81]),c_0_142]),c_0_101]),c_0_142]),c_0_142]),c_0_142]),c_0_142]),c_0_45]),c_0_142]),c_0_142])]),c_0_143]),c_0_143]),c_0_143]),c_0_143]),c_0_55]),c_0_143]),c_0_143]),c_0_103]),c_0_143]),c_0_40]),c_0_142]),c_0_143]),c_0_53]),c_0_125]),c_0_143]),c_0_143]),c_0_58])]) ).
cnf(c_0_160,plain,
op1(e13,e10) = e12,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_91]),c_0_22]),c_0_145]),c_0_146]) ).
cnf(c_0_161,plain,
op1(e12,e10) = e10,
inference(sr,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_162,plain,
op1(e11,e12) = e12,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_145]),c_0_146]) ).
cnf(c_0_163,plain,
op1(e12,e11) = e11,
inference(sr,[status(thm)],[c_0_134,c_0_148]) ).
cnf(c_0_164,plain,
( op2(e23,e22) = e21
| op2(e23,e20) != e22 ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_165,plain,
( op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_58]),c_0_153]) ).
cnf(c_0_166,plain,
op2(e20,e20) = e23,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_140])]) ).
cnf(c_0_167,plain,
( op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_45]),c_0_155]) ).
cnf(c_0_168,plain,
( op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_45]),c_0_82]) ).
cnf(c_0_169,plain,
( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_170,plain,
( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_171,plain,
( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_172,plain,
op2(e21,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_173,plain,
op2(e21,e20) = e21,
inference(sr,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_174,plain,
( h3(op1(e10,e10)) != op2(e20,e20)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e11,e11)) != op2(e21,e21)
| op2(e23,e20) != e22
| op2(e21,e20) != e21
| op2(e22,e20) != e20
| op2(e23,e21) != e23
| op2(e21,e22) != e22
| op2(e22,e21) != e21 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_159,c_0_91]),c_0_142]),c_0_160]),c_0_125]),c_0_132]),c_0_124]),c_0_45]),c_0_58]),c_0_161]),c_0_143]),c_0_145]),c_0_124]),c_0_45]),c_0_58]),c_0_162]),c_0_125]),c_0_163]),c_0_124]),c_0_45]),c_0_58]),c_0_164]) ).
cnf(c_0_175,plain,
op2(e20,e21) = e22,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_166]),c_0_63]),c_0_103]),c_0_155]) ).
cnf(c_0_176,plain,
( op2(e23,e20) = e22
| op2(e23,e22) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_140]),c_0_63]) ).
cnf(c_0_177,plain,
( op2(e23,e20) = e21
| op2(e23,e22) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_140]),c_0_59]) ).
cnf(c_0_178,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_179,plain,
op2(e20,e22) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_180,plain,
( op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_37]),c_0_101]),c_0_61]),c_0_155]) ).
cnf(c_0_181,plain,
( op2(e22,e21) = e21
| op2(e22,e20) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_37]),c_0_101]),c_0_59]),c_0_153]) ).
cnf(c_0_182,plain,
op2(e21,e20) != op2(e22,e20),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_183,plain,
( op2(e23,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_37]),c_0_63]) ).
cnf(c_0_184,plain,
op2(e23,e20) != e21,
inference(rw,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_185,plain,
( h3(op1(e11,e11)) != op2(e21,e21)
| h3(op1(e10,e10)) != e23
| h3(op1(e10,e11)) != e22
| op2(e23,e20) != e22
| op2(e21,e20) != e21
| op2(e22,e20) != e20
| op2(e21,e22) != e22
| op2(e22,e21) != e21 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_140])]),c_0_166]),c_0_175]) ).
cnf(c_0_186,plain,
( op2(e23,e20) = e21
| op2(e23,e20) = e22 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_153]) ).
cnf(c_0_187,plain,
( op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_81]),c_0_61]) ).
cnf(c_0_188,plain,
op2(e21,e22) != e20,
inference(rw,[status(thm)],[c_0_179,c_0_103]) ).
cnf(c_0_189,plain,
( op2(e22,e20) = e21
| op2(e22,e20) = e20 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_82]) ).
cnf(c_0_190,plain,
op2(e22,e20) != e21,
inference(rw,[status(thm)],[c_0_182,c_0_173]) ).
cnf(c_0_191,plain,
( op2(e21,e22) = e22
| op2(e23,e22) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_103]),c_0_155]) ).
cnf(c_0_192,plain,
op2(e23,e22) = e21,
inference(sr,[status(thm)],[c_0_177,c_0_184]) ).
cnf(c_0_193,plain,
op1(e10,e12) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_194,plain,
op1(e10,e11) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_195,plain,
op1(e11,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_196,plain,
( h3(op1(e11,e11)) != op2(e21,e21)
| h3(op1(e10,e10)) != e23
| h3(op1(e10,e11)) != e22
| op2(e23,e20) != e22
| op2(e22,e20) != e20
| op2(e21,e22) != e22
| op2(e22,e21) != e21 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_173])]) ).
cnf(c_0_197,plain,
op2(e23,e20) = e22,
inference(sr,[status(thm)],[c_0_186,c_0_184]) ).
cnf(c_0_198,plain,
op2(e21,e21) = e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_187,c_0_188]),c_0_173]),c_0_82]) ).
cnf(c_0_199,plain,
op2(e22,e20) = e20,
inference(sr,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_200,plain,
op2(e21,e22) = e22,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_192]),c_0_153]) ).
cnf(c_0_201,plain,
op2(e22,e21) = e21,
inference(sr,[status(thm)],[c_0_181,c_0_190]) ).
cnf(c_0_202,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_203,plain,
op1(e10,e12) != e13,
inference(rw,[status(thm)],[c_0_193,c_0_14]) ).
cnf(c_0_204,plain,
op1(e10,e11) != e13,
inference(rw,[status(thm)],[c_0_194,c_0_91]) ).
cnf(c_0_205,plain,
( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_206,plain,
op1(e11,e13) != e10,
inference(rw,[status(thm)],[c_0_195,c_0_17]) ).
cnf(c_0_207,plain,
( h3(op1(e11,e11)) != e20
| h3(op1(e10,e10)) != e23
| h3(op1(e10,e11)) != e22 ),
inference(cn,[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)],[c_0_196,c_0_197])]),c_0_198]),c_0_199]),c_0_200]),c_0_201])]) ).
cnf(c_0_208,plain,
op1(e10,e10) = e13,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_202,c_0_203]),c_0_30]),c_0_31]),c_0_204]) ).
cnf(c_0_209,plain,
op1(e11,e11) = e10,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_205,c_0_206]),c_0_162]),c_0_132]),c_0_130]),c_0_43]) ).
cnf(c_0_210,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_211,plain,
h3(op1(e10,e11)) != e22,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_208]),c_0_142])]),c_0_209]),c_0_143])]) ).
cnf(c_0_212,plain,
op1(e10,e11) = e12,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_30]),c_0_146]),c_0_55]),c_0_208]),c_0_130]),c_0_22]) ).
cnf(c_0_213,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_212]),c_0_125])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.17 % Problem : ALG110+1 : TPTP v8.1.0. Released v2.7.0.
% 0.14/0.18 % Command : run_ET %s %d
% 0.14/0.40 % Computer : n024.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8042.1875MB
% 0.14/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 600
% 0.14/0.41 % DateTime : Wed Jun 8 12:23:19 EDT 2022
% 0.14/0.41 % CPUTime :
% 0.26/1.49 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.26/1.49 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.26/1.49 # Preprocessing time : 0.118 s
% 0.26/1.49
% 0.26/1.49 # Proof found!
% 0.26/1.49 # SZS status Theorem
% 0.26/1.49 # SZS output start CNFRefutation
% See solution above
% 0.26/1.49 # Proof object total steps : 214
% 0.26/1.49 # Proof object clause steps : 191
% 0.26/1.49 # Proof object formula steps : 23
% 0.26/1.49 # Proof object conjectures : 4
% 0.26/1.49 # Proof object clause conjectures : 1
% 0.26/1.49 # Proof object formula conjectures : 3
% 0.26/1.49 # Proof object initial clauses used : 84
% 0.26/1.49 # Proof object initial formulas used : 13
% 0.26/1.49 # Proof object generating inferences : 9
% 0.26/1.49 # Proof object simplifying inferences : 299
% 0.26/1.49 # Training examples: 0 positive, 0 negative
% 0.26/1.49 # Parsed axioms : 18
% 0.26/1.49 # Removed by relevancy pruning/SinE : 0
% 0.26/1.49 # Initial clauses : 642
% 0.26/1.49 # Removed in clause preprocessing : 0
% 0.26/1.49 # Initial clauses in saturation : 642
% 0.26/1.49 # Processed clauses : 1079
% 0.26/1.49 # ...of these trivial : 56
% 0.26/1.49 # ...subsumed : 503
% 0.26/1.49 # ...remaining for further processing : 520
% 0.26/1.49 # Other redundant clauses eliminated : 0
% 0.26/1.49 # Clauses deleted for lack of memory : 0
% 0.26/1.49 # Backward-subsumed : 88
% 0.26/1.49 # Backward-rewritten : 287
% 0.26/1.49 # Generated clauses : 1865
% 0.26/1.49 # ...of the previous two non-trivial : 1972
% 0.26/1.49 # Contextual simplify-reflections : 169
% 0.26/1.49 # Paramodulations : 1735
% 0.26/1.49 # Factorizations : 69
% 0.26/1.49 # Equation resolutions : 0
% 0.26/1.49 # Current number of processed clauses : 84
% 0.26/1.49 # Positive orientable unit clauses : 48
% 0.26/1.49 # Positive unorientable unit clauses: 0
% 0.26/1.49 # Negative unit clauses : 32
% 0.26/1.50 # Non-unit-clauses : 4
% 0.26/1.50 # Current number of unprocessed clauses: 45
% 0.26/1.50 # ...number of literals in the above : 354
% 0.26/1.50 # Current number of archived formulas : 0
% 0.26/1.50 # Current number of archived clauses : 436
% 0.26/1.50 # Clause-clause subsumption calls (NU) : 96721
% 0.26/1.50 # Rec. Clause-clause subsumption calls : 1346
% 0.26/1.50 # Non-unit clause-clause subsumptions : 315
% 0.26/1.50 # Unit Clause-clause subsumption calls : 1977
% 0.26/1.50 # Rewrite failures with RHS unbound : 0
% 0.26/1.50 # BW rewrite match attempts : 34
% 0.26/1.50 # BW rewrite match successes : 34
% 0.26/1.50 # Condensation attempts : 0
% 0.26/1.50 # Condensation successes : 0
% 0.26/1.50 # Termbank termtop insertions : 265037
% 0.26/1.50
% 0.26/1.50 # -------------------------------------------------
% 0.26/1.50 # User time : 0.333 s
% 0.26/1.50 # System time : 0.004 s
% 0.26/1.50 # Total time : 0.338 s
% 0.26/1.50 # Maximum resident set size: 5632 pages
%------------------------------------------------------------------------------