%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ALG115+1 : TPTP v9.2.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n010.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 : 300s
% DateTime : Tue May 5 04:05:27 PM UTC 2026
% Result : Theorem 2.01s 2.07s
% Output : CNFRefutation 2.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 24
% Syntax : Number of formulae : 229 ( 137 unt; 0 def)
% Number of atoms : 3628 (3517 equ)
% Maximal formula atoms : 1280 ( 15 avg)
% Number of connectives : 4944 (1545 ~;2129 |;1261 &)
% ( 8 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 84 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 9 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax13,axiom,
( e20 = op2(op2(e23,e23),op2(op2(e23,e23),e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,e23),e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(ax11,axiom,
( ( op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23 ) )
& ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e23) = e23 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
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/benchmark/theBenchmark.p',ax6) ).
fof(ax15,axiom,
( h2(e13) = e21
& h2(e10) = op2(op2(e21,e21),op2(op2(e21,e21),e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,e21),e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(ax16,axiom,
( h3(e13) = e22
& h3(e10) = op2(op2(e22,e22),op2(op2(e22,e22),e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,e22),e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(ax10,axiom,
( ( op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13 ) )
& ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e13) = e13 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(ax12,axiom,
( e10 = op1(op1(e13,e13),op1(op1(e13,e13),e13))
& e11 = op1(e13,e13)
& e12 = op1(op1(e13,e13),e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(ax14,axiom,
( h1(e13) = e20
& h1(e10) = op2(op2(e20,e20),op2(op2(e20,e20),e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,e20),e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(ax8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
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/benchmark/theBenchmark.p',ax3) ).
fof(ax7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',ax5) ).
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/benchmark/theBenchmark.p',ax4) ).
fof(ax1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
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/benchmark/theBenchmark.p',ax2) ).
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/benchmark/theBenchmark.p',co1) ).
fof(c_0_16,plain,
( epred22_0
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 ) ) ),
introduced(definition) ).
fof(c_0_17,plain,
( epred42_0
<=> ( op2(e20,e20) = e20
| ( op2(e20,e20) = e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,e20) = e20
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e20,e20) = e20
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e21,e21) = e21
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| op2(e21,e21) = e21
| ( op2(e21,e21) = e21
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e21,e21) = e21
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e22,e22) = e22
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,e22) = e22
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| op2(e22,e22) = e22
| ( op2(e22,e22) = e22
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e23,e23) = e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,e23) = e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,e23) = e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ) ),
introduced(definition) ).
cnf(c_0_18,plain,
e22 = op2(op2(e23,e23),e23),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_19,plain,
e21 = op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax13]) ).
fof(c_0_20,plain,
( ( op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( epred22_0
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23 ) )
& ( epred42_0
| op2(e23,e23) = e23 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax11]),c_0_16]),c_0_17]) ).
cnf(c_0_21,plain,
op2(e21,e21) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_22,plain,
h2(e11) = op2(e21,e21),
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_23,plain,
e20 = op2(op2(e23,e23),op2(op2(e23,e23),e23)),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_24,plain,
op2(e21,e23) = e22,
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
op2(e21,e22) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_26,plain,
h3(e11) = op2(e22,e22),
inference(split_conjunct,[status(thm)],[ax16]) ).
fof(c_0_27,plain,
( epred1_0
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 ) ) ),
introduced(definition) ).
fof(c_0_28,plain,
( epred21_0
<=> ( op1(e10,e10) = e10
| ( op1(e10,e10) = e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,e10) = e10
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e10,e10) = e10
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e11,e11) = e11
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| op1(e11,e11) = e11
| ( op1(e11,e11) = e11
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e11,e11) = e11
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e12,e12) = e12
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,e12) = e12
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| op1(e12,e12) = e12
| ( op1(e12,e12) = e12
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e13,e13) = e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,e13) = e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,e13) = e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ) ),
introduced(definition) ).
fof(c_0_29,plain,
( ( op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e23,op2(e23,e20)) != e20
| epred22_0 )
& ( op2(e23,op2(e23,e21)) != e21
| epred22_0 )
& ( op2(e23,op2(e23,e22)) != e22
| epred22_0 )
& ( op2(e23,op2(e23,e23)) != e23
| epred22_0 )
& ( epred42_0
| op2(e23,e23) = e23 ) ),
inference(distribute,[status(thm)],[c_0_20]) ).
cnf(c_0_30,plain,
op2(e21,e22) != h2(e11),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_31,plain,
op2(e21,e22) = e20,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_19]),c_0_19]),c_0_24]) ).
cnf(c_0_32,plain,
op2(e21,e22) != h3(e11),
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_33,plain,
( ( op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( epred1_0
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13 ) )
& ( epred21_0
| op1(e13,e13) = e13 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax10]),c_0_27]),c_0_28]) ).
cnf(c_0_34,plain,
e12 = op1(op1(e13,e13),e13),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_35,plain,
e11 = op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_36,plain,
op2(e21,e21) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_37,plain,
op2(e20,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_38,plain,
op2(e20,e23) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_39,plain,
op2(e20,e20) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_40,plain,
h1(e11) = op2(e20,e20),
inference(split_conjunct,[status(thm)],[ax14]) ).
cnf(c_0_41,plain,
( op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_42,plain,
h2(e11) != e20,
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_43,plain,
h3(e11) != e20,
inference(rw,[status(thm)],[c_0_32,c_0_31]) ).
cnf(c_0_44,plain,
e20 != e21,
inference(split_conjunct,[status(thm)],[ax8]) ).
fof(c_0_45,plain,
( ( op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e13,op1(e13,e10)) != e10
| epred1_0 )
& ( op1(e13,op1(e13,e11)) != e11
| epred1_0 )
& ( op1(e13,op1(e13,e12)) != e12
| epred1_0 )
& ( op1(e13,op1(e13,e13)) != e13
| epred1_0 )
& ( epred21_0
| op1(e13,e13) = e13 ) ),
inference(distribute,[status(thm)],[c_0_33]) ).
cnf(c_0_46,plain,
e10 = op1(op1(e13,e13),op1(op1(e13,e13),e13)),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_47,plain,
op1(e11,e13) = e12,
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_48,plain,
op2(e21,e22) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_49,plain,
op2(e20,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_50,plain,
( op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_51,plain,
e21 != e23,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_52,plain,
op2(e21,e23) != h2(e11),
inference(rw,[status(thm)],[c_0_36,c_0_22]) ).
cnf(c_0_53,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_54,plain,
op2(e20,e23) != e21,
inference(rw,[status(thm)],[c_0_37,c_0_19]) ).
cnf(c_0_55,plain,
op2(e20,e23) != e22,
inference(rw,[status(thm)],[c_0_38,c_0_24]) ).
cnf(c_0_56,plain,
op2(e20,e23) != h1(e11),
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_57,plain,
h1(e11) = e20,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_40]),c_0_22]),c_0_26]),c_0_19]),c_0_42]),c_0_43]),c_0_44]) ).
cnf(c_0_58,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_59,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_60,plain,
op1(e11,e12) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_61,plain,
op1(e11,e12) = e10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_35]),c_0_35]),c_0_47]) ).
cnf(c_0_62,plain,
op1(e11,e11) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_63,plain,
( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_64,plain,
op2(e23,e22) != e20,
inference(rw,[status(thm)],[c_0_48,c_0_31]) ).
cnf(c_0_65,plain,
op2(e23,e20) != h1(e11),
inference(rw,[status(thm)],[c_0_49,c_0_40]) ).
cnf(c_0_66,plain,
( e23 = h3(e11)
| e23 = h2(e11)
| e23 = h1(e11) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_40]),c_0_22]),c_0_26]),c_0_19]),c_0_51]) ).
cnf(c_0_67,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_68,plain,
( op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_69,plain,
e20 != e22,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_70,plain,
h2(e11) != e22,
inference(rw,[status(thm)],[c_0_52,c_0_24]) ).
cnf(c_0_71,plain,
e21 != e22,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_72,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
cnf(c_0_73,plain,
op2(e20,e23) != e20,
inference(rw,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_74,plain,
op1(e10,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_75,plain,
op1(e10,e13) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_76,plain,
( op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_35]),c_0_59]) ).
cnf(c_0_77,plain,
op1(e12,e12) != e10,
inference(rw,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_78,plain,
op1(e11,e11) != e10,
inference(rw,[status(thm)],[c_0_62,c_0_61]) ).
cnf(c_0_79,plain,
op1(e13,e12) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_80,plain,
op1(e11,e11) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_81,plain,
h2(e12) = op2(op2(e21,e21),e21),
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_82,plain,
( op2(e23,e21) = e20
| op2(e23,e20) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_19]),c_0_64]),c_0_44]) ).
cnf(c_0_83,plain,
op2(e23,e20) != e20,
inference(rw,[status(thm)],[c_0_65,c_0_57]) ).
cnf(c_0_84,plain,
( e23 = h2(e11)
| e23 = h3(e11) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_57]),c_0_67]) ).
cnf(c_0_85,plain,
h3(e11) = 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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_40]),c_0_57]),c_0_22]),c_0_26]),c_0_19]),c_0_69]),c_0_70]),c_0_71]) ).
cnf(c_0_86,plain,
e22 != e23,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_87,plain,
( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_88,plain,
op2(e20,e23) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_89,plain,
op2(e20,e23) = e23,
inference(sr,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_90,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_91,plain,
op1(e10,e13) != e11,
inference(rw,[status(thm)],[c_0_74,c_0_35]) ).
cnf(c_0_92,plain,
op1(e10,e13) != e12,
inference(rw,[status(thm)],[c_0_75,c_0_47]) ).
cnf(c_0_93,plain,
op1(e10,e10) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_94,plain,
op1(e10,e10) = e10,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
cnf(c_0_95,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_96,plain,
op1(e13,e12) != e11,
inference(rw,[status(thm)],[c_0_79,c_0_35]) ).
cnf(c_0_97,plain,
( op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_98,plain,
op1(e11,e11) != e12,
inference(rw,[status(thm)],[c_0_80,c_0_47]) ).
cnf(c_0_99,plain,
e11 != e12,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_100,plain,
op2(e23,e20) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_101,plain,
h2(e10) = op2(op2(e21,e21),op2(op2(e21,e21),e21)),
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_102,plain,
op2(h2(e11),e21) = h2(e12),
inference(rw,[status(thm)],[c_0_81,c_0_22]) ).
cnf(c_0_103,plain,
op2(e23,e21) = e20,
inference(sr,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_104,plain,
e23 = h2(e11),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).
cnf(c_0_105,plain,
( op2(e22,e23) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23
| e23 = h3(e11) ),
inference(rw,[status(thm)],[c_0_87,c_0_26]) ).
cnf(c_0_106,plain,
op2(e22,e23) != e23,
inference(rw,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_107,plain,
op2(e21,e21) != op2(e22,e21),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_108,plain,
op2(e20,e22) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
fof(c_0_109,plain,
( epred43_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_110,plain,
( epred44_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_111,plain,
( epred45_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_112,plain,
( epred46_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_113,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_90,c_0_91]),c_0_92]) ).
cnf(c_0_114,plain,
op1(e10,e13) != e10,
inference(rw,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_115,plain,
( op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(sr,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_116,plain,
( op1(e12,e12) = e12
| op1(e10,e10) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_35]),c_0_98]),c_0_99]) ).
cnf(c_0_117,plain,
e10 != e12,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_118,plain,
op1(e11,e10) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_119,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_120,plain,
op2(e23,e20) != e21,
inference(rw,[status(thm)],[c_0_100,c_0_19]) ).
cnf(c_0_121,plain,
op2(h2(e11),h2(e12)) = h2(e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_22]),c_0_22]),c_0_102]) ).
cnf(c_0_122,plain,
h2(e12) = e20,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_104]),c_0_102]) ).
cnf(c_0_123,plain,
( op2(e22,e20) = e23
| op2(e22,e21) = e23
| e23 = h3(e11) ),
inference(sr,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_124,plain,
op2(e22,e21) != h2(e11),
inference(rw,[status(thm)],[c_0_107,c_0_22]) ).
cnf(c_0_125,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_126,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_127,plain,
op2(e20,e22) != h3(e11),
inference(rw,[status(thm)],[c_0_108,c_0_26]) ).
cnf(c_0_128,plain,
( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_129,plain,
op2(e20,e22) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_130,plain,
( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_131,plain,
op1(e11,e12) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
fof(c_0_132,negated_conjecture,
~ ( ( epred43_0
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( epred44_0
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( epred45_0
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( epred46_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_109]),c_0_110]),c_0_111]),c_0_112]) ).
cnf(c_0_133,plain,
op1(e10,e10) != op1(e10,e11),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_134,plain,
op1(e10,e11) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_135,plain,
op1(e10,e13) = e13,
inference(sr,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_136,plain,
( op1(e10,e12) = e11
| op1(e12,e12) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_61]),c_0_59]) ).
cnf(c_0_137,plain,
op1(e12,e12) = e12,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_116]),c_0_117]) ).
cnf(c_0_138,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_139,plain,
( op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_140,plain,
e11 != e13,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_141,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_142,plain,
op1(e11,e10) != e12,
inference(rw,[status(thm)],[c_0_118,c_0_47]) ).
fof(c_0_143,plain,
( ( 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 ) )
=> epred44_0 ),
inference(split_equiv,[status(thm)],[c_0_110]) ).
cnf(c_0_144,plain,
( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e20 ),
inference(sr,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_145,plain,
op2(e22,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_146,plain,
op2(h2(e11),e20) = h2(e10),
inference(rw,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_147,plain,
op2(e22,e20) = h2(e11),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_85]),c_0_86]),c_0_104]),c_0_104]),c_0_124]) ).
cnf(c_0_148,plain,
( op2(e22,e23) = e20
| op2(e20,e23) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_24]),c_0_19]),c_0_69]),c_0_44]) ).
cnf(c_0_149,plain,
( op2(e20,e22) = e22
| op2(e20,e21) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_40]),c_0_57]),c_0_89]),c_0_69]),c_0_86]) ).
cnf(c_0_150,plain,
op2(e20,e22) != e22,
inference(rw,[status(thm)],[c_0_127,c_0_85]) ).
cnf(c_0_151,plain,
( op2(e23,e22) = e23
| op2(e20,e22) = e23
| e23 = h3(e11) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_31]),c_0_26]),c_0_67]) ).
cnf(c_0_152,plain,
op2(e20,e22) != e23,
inference(rw,[status(thm)],[c_0_129,c_0_89]) ).
cnf(c_0_153,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_154,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_155,plain,
( op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_35]),c_0_59]) ).
cnf(c_0_156,plain,
op1(e13,e12) != e10,
inference(rw,[status(thm)],[c_0_131,c_0_61]) ).
cnf(c_0_157,plain,
op1(e10,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_158,plain,
op2(e21,e20) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_159,plain,
op2(e21,e20) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_160,plain,
op2(e21,e20) != op2(e21,e21),
inference(split_conjunct,[status(thm)],[ax6]) ).
fof(c_0_161,negated_conjecture,
( ( h1(e10) != e23
| ~ epred43_0 )
& ( h1(e11) != e23
| ~ epred43_0 )
& ( h1(e12) != e23
| ~ epred43_0 )
& ( h1(e13) != e23
| ~ epred43_0 )
& ( h2(e10) != e23
| ~ epred44_0 )
& ( h2(e11) != e23
| ~ epred44_0 )
& ( h2(e12) != e23
| ~ epred44_0 )
& ( h2(e13) != e23
| ~ epred44_0 )
& ( h3(e10) != e23
| ~ epred45_0 )
& ( h3(e11) != e23
| ~ epred45_0 )
& ( h3(e12) != e23
| ~ epred45_0 )
& ( h3(e13) != e23
| ~ epred45_0 )
& ( h4(e10) != e23
| ~ epred46_0 )
& ( h4(e11) != e23
| ~ epred46_0 )
& ( h4(e12) != e23
| ~ epred46_0 )
& ( h4(e13) != e23
| ~ epred46_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_132])]) ).
cnf(c_0_162,plain,
op1(e13,e11) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_163,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_164,plain,
op1(e10,e11) != e10,
inference(rw,[status(thm)],[c_0_133,c_0_94]) ).
cnf(c_0_165,plain,
op1(e10,e11) != e13,
inference(rw,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_166,plain,
op1(e10,e11) != op1(e10,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_167,plain,
op1(e10,e12) = e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_137]),c_0_99]) ).
cnf(c_0_168,plain,
( op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_47]),c_0_99]) ).
cnf(c_0_169,plain,
( op1(e12,e12) = e13
| op1(e11,e11) = e13
| op1(e10,e10) = e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_35]),c_0_140]) ).
cnf(c_0_170,plain,
e12 != e13,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_171,plain,
e10 != e13,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_172,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e10,e10) = e12 ),
inference(sr,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_173,plain,
op1(e12,e10) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_174,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
fof(c_0_175,plain,
( ( h2(e10) != e22
| h2(e10) != e21
| h2(e10) != e20
| 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))
| epred44_0 )
& ( h2(e11) != e22
| h2(e10) != e21
| h2(e10) != e20
| 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))
| epred44_0 )
& ( h2(e12) != e22
| h2(e10) != e21
| h2(e10) != e20
| 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))
| epred44_0 )
& ( h2(e13) != e22
| h2(e10) != e21
| h2(e10) != e20
| 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))
| epred44_0 )
& ( h2(e10) != e22
| h2(e11) != e21
| h2(e10) != e20
| 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))
| epred44_0 )
& ( h2(e11) != e22
| h2(e11) != e21
| h2(e10) != e20
| 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))
| epred44_0 )
& ( h2(e12) != e22
| h2(e11) != e21
| h2(e10) != e20
| 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))
| epred44_0 )
& ( h2(e13) != e22
| h2(e11) != e21
| h2(e10) != e20
| 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))
| epred44_0 )
& ( h2(e10) != e22
| h2(e12) != e21
| h2(e10) != e20
| 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))
| epred44_0 )
& ( h2(e11) != e22
| h2(e12) != e21
| h2(e10) != e20
| 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))
| epred44_0 )
& ( h2(e12) != e22
| h2(e12) != e21
| h2(e10) != e20
| 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))
| epred44_0 )
& ( h2(e13) != e22
| h2(e12) != e21
| h2(e10) != e20
| 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))
| epred44_0 )
& ( h2(e10) != e22
| h2(e13) != e21
| h2(e10) != e20
| 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))
| epred44_0 )
& ( h2(e11) != e22
| h2(e13) != e21
| h2(e10) != e20
| 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))
| epred44_0 )
& ( h2(e12) != e22
| h2(e13) != e21
| h2(e10) != e20
| 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))
| epred44_0 )
& ( h2(e13) != e22
| h2(e13) != e21
| h2(e10) != e20
| 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))
| epred44_0 )
& ( h2(e10) != e22
| h2(e10) != e21
| h2(e11) != e20
| 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))
| epred44_0 )
& ( h2(e11) != e22
| h2(e10) != e21
| h2(e11) != e20
| 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))
| epred44_0 )
& ( h2(e12) != e22
| h2(e10) != e21
| h2(e11) != e20
| 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))
| epred44_0 )
& ( h2(e13) != e22
| h2(e10) != e21
| h2(e11) != e20
| 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))
| epred44_0 )
& ( h2(e10) != e22
| h2(e11) != e21
| h2(e11) != e20
| 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))
| epred44_0 )
& ( h2(e11) != e22
| h2(e11) != e21
| h2(e11) != e20
| 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))
| epred44_0 )
& ( h2(e12) != e22
| h2(e11) != e21
| h2(e11) != e20
| 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))
| epred44_0 )
& ( h2(e13) != e22
| h2(e11) != e21
| h2(e11) != e20
| 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))
| epred44_0 )
& ( h2(e10) != e22
| h2(e12) != e21
| h2(e11) != e20
| 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))
| epred44_0 )
& ( h2(e11) != e22
| h2(e12) != e21
| h2(e11) != e20
| 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))
| epred44_0 )
& ( h2(e12) != e22
| h2(e12) != e21
| h2(e11) != e20
| 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))
| epred44_0 )
& ( h2(e13) != e22
| h2(e12) != e21
| h2(e11) != e20
| 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))
| epred44_0 )
& ( h2(e10) != e22
| h2(e13) != e21
| h2(e11) != e20
| 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))
| epred44_0 )
& ( h2(e11) != e22
| h2(e13) != e21
| h2(e11) != e20
| 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))
| epred44_0 )
& ( h2(e12) != e22
| h2(e13) != e21
| h2(e11) != e20
| 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))
| epred44_0 )
& ( h2(e13) != e22
| h2(e13) != e21
| h2(e11) != e20
| 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))
| epred44_0 )
& ( h2(e10) != e22
| h2(e10) != e21
| h2(e12) != e20
| 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))
| epred44_0 )
& ( h2(e11) != e22
| h2(e10) != e21
| h2(e12) != e20
| 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))
| epred44_0 )
& ( h2(e12) != e22
| h2(e10) != e21
| h2(e12) != e20
| 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))
| epred44_0 )
& ( h2(e13) != e22
| h2(e10) != e21
| h2(e12) != e20
| 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))
| epred44_0 )
& ( h2(e10) != e22
| h2(e11) != e21
| h2(e12) != e20
| 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))
| epred44_0 )
& ( h2(e11) != e22
| h2(e11) != e21
| h2(e12) != e20
| 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))
| epred44_0 )
& ( h2(e12) != e22
| h2(e11) != e21
| h2(e12) != e20
| 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))
| epred44_0 )
& ( h2(e13) != e22
| h2(e11) != e21
| h2(e12) != e20
| 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))
| epred44_0 )
& ( h2(e10) != e22
| h2(e12) != e21
| h2(e12) != e20
| 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))
| epred44_0 )
& ( h2(e11) != e22
| h2(e12) != e21
| h2(e12) != e20
| 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))
| epred44_0 )
& ( h2(e12) != e22
| h2(e12) != e21
| h2(e12) != e20
| 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))
| epred44_0 )
& ( h2(e13) != e22
| h2(e12) != e21
| h2(e12) != e20
| 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))
| epred44_0 )
& ( h2(e10) != e22
| h2(e13) != e21
| h2(e12) != e20
| 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))
| epred44_0 )
& ( h2(e11) != e22
| h2(e13) != e21
| h2(e12) != e20
| 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))
| epred44_0 )
& ( h2(e12) != e22
| h2(e13) != e21
| h2(e12) != e20
| 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))
| epred44_0 )
& ( h2(e13) != e22
| h2(e13) != e21
| h2(e12) != e20
| 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))
| epred44_0 )
& ( h2(e10) != e22
| h2(e10) != e21
| h2(e13) != e20
| 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))
| epred44_0 )
& ( h2(e11) != e22
| h2(e10) != e21
| h2(e13) != e20
| 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))
| epred44_0 )
& ( h2(e12) != e22
| h2(e10) != e21
| h2(e13) != e20
| 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))
| epred44_0 )
& ( h2(e13) != e22
| h2(e10) != e21
| h2(e13) != e20
| 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))
| epred44_0 )
& ( h2(e10) != e22
| h2(e11) != e21
| h2(e13) != e20
| 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))
| epred44_0 )
& ( h2(e11) != e22
| h2(e11) != e21
| h2(e13) != e20
| 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))
| epred44_0 )
& ( h2(e12) != e22
| h2(e11) != e21
| h2(e13) != e20
| 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))
| epred44_0 )
& ( h2(e13) != e22
| h2(e11) != e21
| h2(e13) != e20
| 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))
| epred44_0 )
& ( h2(e10) != e22
| h2(e12) != e21
| h2(e13) != e20
| 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))
| epred44_0 )
& ( h2(e11) != e22
| h2(e12) != e21
| h2(e13) != e20
| 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))
| epred44_0 )
& ( h2(e12) != e22
| h2(e12) != e21
| h2(e13) != e20
| 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))
| epred44_0 )
& ( h2(e13) != e22
| h2(e12) != e21
| h2(e13) != e20
| 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))
| epred44_0 )
& ( h2(e10) != e22
| h2(e13) != e21
| h2(e13) != e20
| 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))
| epred44_0 )
& ( h2(e11) != e22
| h2(e13) != e21
| h2(e13) != e20
| 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))
| epred44_0 )
& ( h2(e12) != e22
| h2(e13) != e21
| h2(e13) != e20
| 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))
| epred44_0 )
& ( h2(e13) != e22
| h2(e13) != e21
| h2(e13) != e20
| 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))
| epred44_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_143])]) ).
cnf(c_0_176,plain,
( op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(sr,[status(thm)],[c_0_144,c_0_83]) ).
cnf(c_0_177,plain,
h2(e10) != h2(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_104]),c_0_146]),c_0_147]) ).
cnf(c_0_178,plain,
op2(e22,e23) = e20,
inference(sr,[status(thm)],[c_0_148,c_0_73]) ).
cnf(c_0_179,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_180,plain,
op2(e20,e21) = e22,
inference(sr,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_181,plain,
h2(e11) != e21,
inference(rw,[status(thm)],[c_0_51,c_0_104]) ).
cnf(c_0_182,plain,
( op2(e23,e22) = e23
| e23 = h3(e11) ),
inference(sr,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_183,plain,
( op2(e20,e22) = e21
| op2(e20,e21) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_40]),c_0_57]),c_0_89]),c_0_44]),c_0_51]) ).
cnf(c_0_184,plain,
( op1(e12,e13) = e10
| op1(e10,e13) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_47]),c_0_35]),c_0_117]),c_0_59]) ).
cnf(c_0_185,plain,
( op1(e13,e10) = e10
| op1(e13,e11) = e10 ),
inference(sr,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_186,plain,
op1(e13,e10) != e10,
inference(rw,[status(thm)],[c_0_157,c_0_94]) ).
cnf(c_0_187,plain,
( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_188,plain,
op2(e21,e20) != e20,
inference(rw,[status(thm)],[c_0_158,c_0_31]) ).
cnf(c_0_189,plain,
op2(e21,e20) != e22,
inference(rw,[status(thm)],[c_0_159,c_0_24]) ).
cnf(c_0_190,plain,
op2(e21,e20) != h2(e11),
inference(rw,[status(thm)],[c_0_160,c_0_22]) ).
cnf(c_0_191,negated_conjecture,
( h2(e11) != e23
| ~ epred44_0 ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_192,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_193,plain,
op1(e13,e11) != e11,
inference(rw,[status(thm)],[c_0_162,c_0_35]) ).
cnf(c_0_194,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_163,c_0_164]),c_0_165]) ).
cnf(c_0_195,plain,
op1(e10,e11) != e11,
inference(rw,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_196,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_197,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_61]),c_0_59]) ).
cnf(c_0_198,plain,
op1(e11,e11) = e13,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_137]),c_0_170]),c_0_94]),c_0_171]) ).
cnf(c_0_199,plain,
( op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_94]),c_0_117]) ).
cnf(c_0_200,plain,
op1(e12,e10) != e12,
inference(rw,[status(thm)],[c_0_173,c_0_137]) ).
cnf(c_0_201,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e10 ),
inference(sr,[status(thm)],[c_0_174,c_0_96]) ).
cnf(c_0_202,plain,
op1(e12,e12) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_203,plain,
( epred44_0
| h2(e10) != e22
| h2(e13) != e21
| h2(e12) != e20
| 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)) ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_204,plain,
h2(e10) = e22,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_104]),c_0_104]),c_0_104]),c_0_146]),c_0_146]),c_0_177]) ).
cnf(c_0_205,plain,
h2(e13) = e21,
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_206,plain,
op2(e22,h2(e11)) = e20,
inference(rw,[status(thm)],[c_0_178,c_0_104]) ).
cnf(c_0_207,plain,
op2(e22,e21) = e21,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_180]),c_0_22]),c_0_104]),c_0_102]),c_0_122]),c_0_71]),c_0_181]),c_0_44]) ).
cnf(c_0_208,plain,
op2(h2(e11),e22) = h2(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_85]),c_0_86]),c_0_104]),c_0_104]) ).
cnf(c_0_209,plain,
op2(h2(e11),h2(e11)) = e21,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_104]),c_0_104]) ).
cnf(c_0_210,plain,
op2(e20,e22) = e21,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_180]),c_0_71]) ).
cnf(c_0_211,plain,
op2(e20,h2(e11)) = h2(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_104]),c_0_104]) ).
cnf(c_0_212,plain,
op1(e12,e13) = e10,
inference(sr,[status(thm)],[c_0_184,c_0_114]) ).
cnf(c_0_213,plain,
op2(e21,h2(e11)) = e22,
inference(rw,[status(thm)],[c_0_24,c_0_104]) ).
cnf(c_0_214,plain,
op1(e13,e11) = e10,
inference(sr,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_215,plain,
op2(e21,e20) = e21,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_104]),c_0_188]),c_0_189]),c_0_190]) ).
cnf(c_0_216,negated_conjecture,
~ epred44_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_104])]) ).
cnf(c_0_217,plain,
( op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(sr,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_218,plain,
op1(e10,e11) = e12,
inference(sr,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_219,plain,
( op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_94]),c_0_171]) ).
cnf(c_0_220,plain,
op1(e11,e10) = e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_198]),c_0_140]) ).
cnf(c_0_221,plain,
op1(e13,e10) = e12,
inference(sr,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_222,plain,
( op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(sr,[status(thm)],[c_0_201,c_0_156]) ).
cnf(c_0_223,plain,
op1(e13,e12) != e12,
inference(rw,[status(thm)],[c_0_202,c_0_137]) ).
cnf(c_0_224,plain,
( h2(op1(e10,e12)) != h2(e11)
| h2(op1(e11,e10)) != h2(e11)
| h2(op1(e12,e11)) != h2(e11)
| h2(op1(e10,e11)) != e20
| h2(op1(e11,e11)) != e21
| h2(op1(e12,e10)) != e21
| h2(op1(e12,e12)) != e20
| h2(op1(e13,e10)) != e20
| h2(op1(e13,e12)) != e21 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_204]),c_0_122]),c_0_205]),c_0_204]),c_0_204]),c_0_26]),c_0_85]),c_0_94]),c_0_204]),c_0_204]),c_0_206]),c_0_204]),c_0_122]),c_0_147]),c_0_204]),c_0_205]),c_0_207]),c_0_135]),c_0_205]),c_0_204]),c_0_208]),c_0_209]),c_0_122]),c_0_146]),c_0_204]),c_0_61]),c_0_204]),c_0_205]),c_0_102]),c_0_122]),c_0_47]),c_0_122]),c_0_122]),c_0_204]),c_0_210]),c_0_122]),c_0_211]),c_0_122]),c_0_122]),c_0_40]),c_0_57]),c_0_122]),c_0_205]),c_0_180]),c_0_212]),c_0_204]),c_0_205]),c_0_204]),c_0_31]),c_0_205]),c_0_213]),c_0_214]),c_0_204]),c_0_205]),c_0_122]),c_0_215]),c_0_205]),c_0_205]),c_0_22]),c_0_35])]),c_0_216]) ).
cnf(c_0_225,plain,
op1(e12,e11) = e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_198]),c_0_140]),c_0_218]),c_0_99]) ).
cnf(c_0_226,plain,
op1(e12,e10) = e13,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_219,c_0_220]),c_0_140]),c_0_221]),c_0_170]) ).
cnf(c_0_227,plain,
op1(e13,e12) = e13,
inference(sr,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_228,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_167]),c_0_220]),c_0_225]),c_0_218]),c_0_122]),c_0_198]),c_0_205]),c_0_226]),c_0_205]),c_0_137]),c_0_122]),c_0_221]),c_0_122]),c_0_227]),c_0_205])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.13 % Problem : ALG115+1 : TPTP v9.2.1. Released v2.7.0.
% 0.14/0.13 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.18/0.34 % Computer : n010.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Tue May 5 10:21:51 EDT 2026
% 0.18/0.35 % CPUTime :
% 0.22/0.36 % start to proof: theBenchmark
% 2.01/2.07 % Version : CSE_E---1.7
% 2.01/2.07 % Problem : theBenchmark.p
% 2.01/2.07 % SZS status Theorem for theBenchmark.p
% 2.01/2.07 % SZS output start CNFRefutation
% See solution above
% 2.01/2.07 % Total time : 1.547s
%------------------------------------------------------------------------------