%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ALG015+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 : n008.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 04:03:59 PM UTC 2026
% Result : Theorem 2.03s 2.05s
% Output : CNFRefutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 41
% Syntax : Number of formulae : 264 ( 188 unt; 0 def)
% Number of atoms : 3490 (3196 equ)
% Maximal formula atoms : 1280 ( 13 avg)
% Number of connectives : 4866 (1640 ~;2125 |;1084 &)
% ( 14 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 84 ( 5 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax22,axiom,
( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(ax24,axiom,
( e10 = op1(e13,e13)
& e11 = op1(e12,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(ax19,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(ax17,axiom,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(ax20,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(ax28,axiom,
( h3(e12) = e20
& h3(e13) = e23
& h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(ax35,axiom,
( h10(e12) = e23
& h10(e13) = e20
& h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
fof(ax23,axiom,
( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(ax25,axiom,
( e20 = op2(e23,e23)
& e21 = op2(e22,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(ax26,axiom,
( h1(e12) = e20
& h1(e13) = e21
& h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(ax3,axiom,
( op1(unit1,e10) = e10
& op1(e10,unit1) = e10
& op1(unit1,e11) = e11
& op1(e11,unit1) = e11
& op1(unit1,e12) = e12
& op1(e12,unit1) = e12
& op1(unit1,e13) = e13
& op1(e13,unit1) = e13
& ( unit1 = e10
| unit1 = e11
| unit1 = e12
| unit1 = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(ax2,axiom,
( op1(op1(e10,e10),e10) = op1(e10,op1(e10,e10))
& op1(op1(e10,e10),e11) = op1(e10,op1(e10,e11))
& op1(op1(e10,e10),e12) = op1(e10,op1(e10,e12))
& op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13))
& op1(op1(e10,e11),e10) = op1(e10,op1(e11,e10))
& op1(op1(e10,e11),e11) = op1(e10,op1(e11,e11))
& op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12))
& op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13))
& op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10))
& op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11))
& op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12))
& op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13))
& op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10))
& op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11))
& op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12))
& op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13))
& op1(op1(e11,e10),e10) = op1(e11,op1(e10,e10))
& op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11))
& op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12))
& op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13))
& op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10))
& op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11))
& op1(op1(e11,e11),e12) = op1(e11,op1(e11,e12))
& op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13))
& op1(op1(e11,e12),e10) = op1(e11,op1(e12,e10))
& op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11))
& op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12))
& op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13))
& op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10))
& op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11))
& op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12))
& op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13))
& op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10))
& op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11))
& op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12))
& op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13))
& op1(op1(e12,e11),e10) = op1(e12,op1(e11,e10))
& op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11))
& op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12))
& op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13))
& op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10))
& op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11))
& op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12))
& op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13))
& op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10))
& op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11))
& op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12))
& op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13))
& op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10))
& op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11))
& op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12))
& op1(op1(e13,e10),e13) = op1(e13,op1(e10,e13))
& op1(op1(e13,e11),e10) = op1(e13,op1(e11,e10))
& op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11))
& op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12))
& op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13))
& op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10))
& op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11))
& op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12))
& op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13))
& op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10))
& op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11))
& op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12))
& op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(ax27,axiom,
( h2(e12) = e20
& h2(e13) = e22
& h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(ax32,axiom,
( h7(e12) = e22
& h7(e13) = e20
& h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
fof(ax29,axiom,
( h4(e12) = e21
& h4(e13) = e20
& h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(ax31,axiom,
( h6(e12) = e21
& h6(e13) = e23
& h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
fof(ax18,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(ax6,axiom,
( op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(ax9,axiom,
inv1(unit1) = unit1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(ax37,axiom,
( h12(e12) = e23
& h12(e13) = e22
& h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(co1,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) )
| ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
| ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
| ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
| ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
| ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
| ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
| ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
| ( h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& ( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(e13) = e20 )
& ( h12(e10) = e21
| h12(e11) = e21
| h12(e12) = e21
| h12(e13) = e21 )
& ( h12(e10) = e22
| h12(e11) = e22
| h12(e12) = e22
| h12(e13) = e22 )
& ( h12(e10) = e23
| h12(e11) = e23
| h12(e12) = e23
| h12(e13) = e23 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(ax30,axiom,
( h5(e12) = e21
& h5(e13) = e22
& h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
fof(ax33,axiom,
( h8(e12) = e22
& h8(e13) = e21
& h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
fof(ax36,axiom,
( h11(e12) = e23
& h11(e13) = e21
& h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
fof(ax4,axiom,
( op1(e10,inv1(e10)) = unit1
& op1(inv1(e10),e10) = unit1
& op1(e11,inv1(e11)) = unit1
& op1(inv1(e11),e11) = unit1
& op1(e12,inv1(e12)) = unit1
& op1(inv1(e12),e12) = unit1
& op1(e13,inv1(e13)) = unit1
& op1(inv1(e13),e13) = unit1
& ( inv1(e10) = e10
| inv1(e10) = e11
| inv1(e10) = e12
| inv1(e10) = e13 )
& ( inv1(e11) = e10
| inv1(e11) = e11
| inv1(e11) = e12
| inv1(e11) = e13 )
& ( inv1(e12) = e10
| inv1(e12) = e11
| inv1(e12) = e12
| inv1(e12) = e13 )
& ( inv1(e13) = e10
| inv1(e13) = e11
| inv1(e13) = e12
| inv1(e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(ax34,axiom,
( h9(e12) = e22
& h9(e13) = e23
& h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
fof(ax5,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(c_0_27,plain,
( epred1_0
<=> ( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 ) ) ),
introduced(definition) ).
fof(c_0_28,axiom,
( epred1_0
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(apply_def,[status(thm)],[ax22,c_0_27]) ).
fof(c_0_29,plain,
( epred1_0
=> ( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 ) ) ),
inference(split_equiv,[status(thm)],[c_0_27]) ).
fof(c_0_30,plain,
( ( op1(e10,e10) = e13
| epred1_0 )
& ( op1(e11,e11) = e13
| epred1_0 )
& ( op1(e12,e12) = e13
| epred1_0 )
& ( op1(e13,e13) = e13
| epred1_0 ) ),
inference(distribute,[status(thm)],[c_0_28]) ).
fof(c_0_31,plain,
( ( op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10
| ~ epred1_0 )
& ( op1(e11,e11) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10
| ~ epred1_0 )
& ( op1(e12,e12) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10
| ~ epred1_0 )
& ( op1(e13,e13) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10
| ~ epred1_0 )
& ( op1(e10,e10) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10
| ~ epred1_0 )
& ( op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10
| ~ epred1_0 )
& ( op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10
| ~ epred1_0 )
& ( op1(e13,e13) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10
| ~ epred1_0 )
& ( op1(e10,e10) = e12
| op1(e12,e12) = e11
| op1(e10,e10) = e10
| ~ epred1_0 )
& ( op1(e11,e11) = e12
| op1(e12,e12) = e11
| op1(e10,e10) = e10
| ~ epred1_0 )
& ( op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e10,e10) = e10
| ~ epred1_0 )
& ( op1(e13,e13) = e12
| op1(e12,e12) = e11
| op1(e10,e10) = e10
| ~ epred1_0 )
& ( op1(e10,e10) = e12
| op1(e13,e13) = e11
| op1(e10,e10) = e10
| ~ epred1_0 )
& ( op1(e11,e11) = e12
| op1(e13,e13) = e11
| op1(e10,e10) = e10
| ~ epred1_0 )
& ( op1(e12,e12) = e12
| op1(e13,e13) = e11
| op1(e10,e10) = e10
| ~ epred1_0 )
& ( op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e10,e10) = e10
| ~ epred1_0 )
& ( op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e11,e11) = e10
| ~ epred1_0 )
& ( op1(e11,e11) = e12
| op1(e10,e10) = e11
| op1(e11,e11) = e10
| ~ epred1_0 )
& ( op1(e12,e12) = e12
| op1(e10,e10) = e11
| op1(e11,e11) = e10
| ~ epred1_0 )
& ( op1(e13,e13) = e12
| op1(e10,e10) = e11
| op1(e11,e11) = e10
| ~ epred1_0 )
& ( op1(e10,e10) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10
| ~ epred1_0 )
& ( op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10
| ~ epred1_0 )
& ( op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10
| ~ epred1_0 )
& ( op1(e13,e13) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10
| ~ epred1_0 )
& ( op1(e10,e10) = e12
| op1(e12,e12) = e11
| op1(e11,e11) = e10
| ~ epred1_0 )
& ( op1(e11,e11) = e12
| op1(e12,e12) = e11
| op1(e11,e11) = e10
| ~ epred1_0 )
& ( op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e11,e11) = e10
| ~ epred1_0 )
& ( op1(e13,e13) = e12
| op1(e12,e12) = e11
| op1(e11,e11) = e10
| ~ epred1_0 )
& ( op1(e10,e10) = e12
| op1(e13,e13) = e11
| op1(e11,e11) = e10
| ~ epred1_0 )
& ( op1(e11,e11) = e12
| op1(e13,e13) = e11
| op1(e11,e11) = e10
| ~ epred1_0 )
& ( op1(e12,e12) = e12
| op1(e13,e13) = e11
| op1(e11,e11) = e10
| ~ epred1_0 )
& ( op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e11,e11) = e10
| ~ epred1_0 )
& ( op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e12,e12) = e10
| ~ epred1_0 )
& ( op1(e11,e11) = e12
| op1(e10,e10) = e11
| op1(e12,e12) = e10
| ~ epred1_0 )
& ( op1(e12,e12) = e12
| op1(e10,e10) = e11
| op1(e12,e12) = e10
| ~ epred1_0 )
& ( op1(e13,e13) = e12
| op1(e10,e10) = e11
| op1(e12,e12) = e10
| ~ epred1_0 )
& ( op1(e10,e10) = e12
| op1(e11,e11) = e11
| op1(e12,e12) = e10
| ~ epred1_0 )
& ( op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e12,e12) = e10
| ~ epred1_0 )
& ( op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e12,e12) = e10
| ~ epred1_0 )
& ( op1(e13,e13) = e12
| op1(e11,e11) = e11
| op1(e12,e12) = e10
| ~ epred1_0 )
& ( op1(e10,e10) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10
| ~ epred1_0 )
& ( op1(e11,e11) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10
| ~ epred1_0 )
& ( op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10
| ~ epred1_0 )
& ( op1(e13,e13) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10
| ~ epred1_0 )
& ( op1(e10,e10) = e12
| op1(e13,e13) = e11
| op1(e12,e12) = e10
| ~ epred1_0 )
& ( op1(e11,e11) = e12
| op1(e13,e13) = e11
| op1(e12,e12) = e10
| ~ epred1_0 )
& ( op1(e12,e12) = e12
| op1(e13,e13) = e11
| op1(e12,e12) = e10
| ~ epred1_0 )
& ( op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e12,e12) = e10
| ~ epred1_0 )
& ( op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e13,e13) = e10
| ~ epred1_0 )
& ( op1(e11,e11) = e12
| op1(e10,e10) = e11
| op1(e13,e13) = e10
| ~ epred1_0 )
& ( op1(e12,e12) = e12
| op1(e10,e10) = e11
| op1(e13,e13) = e10
| ~ epred1_0 )
& ( op1(e13,e13) = e12
| op1(e10,e10) = e11
| op1(e13,e13) = e10
| ~ epred1_0 )
& ( op1(e10,e10) = e12
| op1(e11,e11) = e11
| op1(e13,e13) = e10
| ~ epred1_0 )
& ( op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e13,e13) = e10
| ~ epred1_0 )
& ( op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e13,e13) = e10
| ~ epred1_0 )
& ( op1(e13,e13) = e12
| op1(e11,e11) = e11
| op1(e13,e13) = e10
| ~ epred1_0 )
& ( op1(e10,e10) = e12
| op1(e12,e12) = e11
| op1(e13,e13) = e10
| ~ epred1_0 )
& ( op1(e11,e11) = e12
| op1(e12,e12) = e11
| op1(e13,e13) = e10
| ~ epred1_0 )
& ( op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e13,e13) = e10
| ~ epred1_0 )
& ( op1(e13,e13) = e12
| op1(e12,e12) = e11
| op1(e13,e13) = e10
| ~ epred1_0 )
& ( op1(e10,e10) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10
| ~ epred1_0 )
& ( op1(e11,e11) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10
| ~ epred1_0 )
& ( op1(e12,e12) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10
| ~ epred1_0 )
& ( op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])]) ).
cnf(c_0_32,plain,
( op1(e13,e13) = e13
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_33,plain,
e10 = op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax24]) ).
cnf(c_0_34,plain,
e10 != e13,
inference(split_conjunct,[status(thm)],[ax19]) ).
cnf(c_0_35,plain,
op1(e12,e12) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_36,plain,
e11 = op1(e12,e13),
inference(split_conjunct,[status(thm)],[ax24]) ).
fof(c_0_37,plain,
( epred2_0
<=> ( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 ) ) ),
introduced(definition) ).
cnf(c_0_38,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[ax20]) ).
cnf(c_0_39,plain,
h3(e13) = e23,
inference(split_conjunct,[status(thm)],[ax28]) ).
cnf(c_0_40,plain,
h10(e12) = e23,
inference(split_conjunct,[status(thm)],[ax35]) ).
cnf(c_0_41,plain,
( op1(e13,e13) = e12
| op1(e12,e12) = e11
| op1(e10,e10) = e10
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_42,plain,
epred1_0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_43,plain,
op1(e12,e12) != e11,
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_44,plain,
e10 != e12,
inference(split_conjunct,[status(thm)],[ax19]) ).
fof(c_0_45,axiom,
( epred2_0
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(apply_def,[status(thm)],[ax23,c_0_37]) ).
cnf(c_0_46,plain,
h3(e13) != e20,
inference(rw,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_47,plain,
h3(e13) = h10(e12),
inference(rw,[status(thm)],[c_0_40,c_0_39]) ).
cnf(c_0_48,plain,
( op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e11,e11) = e10
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_49,plain,
op1(e10,e10) = e10,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_33]),c_0_42])]),c_0_43]),c_0_44]) ).
cnf(c_0_50,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[ax19]) ).
fof(c_0_51,plain,
( epred2_0
=> ( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 ) ) ),
inference(split_equiv,[status(thm)],[c_0_37]) ).
fof(c_0_52,plain,
( ( op2(e20,e20) = e23
| epred2_0 )
& ( op2(e21,e21) = e23
| epred2_0 )
& ( op2(e22,e22) = e23
| epred2_0 )
& ( op2(e23,e23) = e23
| epred2_0 ) ),
inference(distribute,[status(thm)],[c_0_45]) ).
cnf(c_0_53,plain,
e20 = op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax25]) ).
cnf(c_0_54,plain,
h1(e12) = e20,
inference(split_conjunct,[status(thm)],[ax26]) ).
cnf(c_0_55,plain,
e20 != h10(e12),
inference(rw,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_56,plain,
e20 != e21,
inference(split_conjunct,[status(thm)],[ax20]) ).
cnf(c_0_57,plain,
e20 != e22,
inference(split_conjunct,[status(thm)],[ax20]) ).
cnf(c_0_58,plain,
op1(unit1,e13) = e13,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_59,plain,
( unit1 = e10
| unit1 = e11
| unit1 = e12
| unit1 = e13 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_60,plain,
op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_61,plain,
op1(e11,e11) = e10,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49]),c_0_49]),c_0_42])]),c_0_50]),c_0_44]) ).
cnf(c_0_62,plain,
op1(e10,e10) != op1(e10,e11),
inference(split_conjunct,[status(thm)],[ax17]) ).
fof(c_0_63,plain,
( ( op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20
| ~ epred2_0 )
& ( op2(e21,e21) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20
| ~ epred2_0 )
& ( op2(e22,e22) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20
| ~ epred2_0 )
& ( op2(e23,e23) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20
| ~ epred2_0 )
& ( op2(e20,e20) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20
| ~ epred2_0 )
& ( op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20
| ~ epred2_0 )
& ( op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20
| ~ epred2_0 )
& ( op2(e23,e23) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20
| ~ epred2_0 )
& ( op2(e20,e20) = e22
| op2(e22,e22) = e21
| op2(e20,e20) = e20
| ~ epred2_0 )
& ( op2(e21,e21) = e22
| op2(e22,e22) = e21
| op2(e20,e20) = e20
| ~ epred2_0 )
& ( op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e20,e20) = e20
| ~ epred2_0 )
& ( op2(e23,e23) = e22
| op2(e22,e22) = e21
| op2(e20,e20) = e20
| ~ epred2_0 )
& ( op2(e20,e20) = e22
| op2(e23,e23) = e21
| op2(e20,e20) = e20
| ~ epred2_0 )
& ( op2(e21,e21) = e22
| op2(e23,e23) = e21
| op2(e20,e20) = e20
| ~ epred2_0 )
& ( op2(e22,e22) = e22
| op2(e23,e23) = e21
| op2(e20,e20) = e20
| ~ epred2_0 )
& ( op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e20,e20) = e20
| ~ epred2_0 )
& ( op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e21,e21) = e20
| ~ epred2_0 )
& ( op2(e21,e21) = e22
| op2(e20,e20) = e21
| op2(e21,e21) = e20
| ~ epred2_0 )
& ( op2(e22,e22) = e22
| op2(e20,e20) = e21
| op2(e21,e21) = e20
| ~ epred2_0 )
& ( op2(e23,e23) = e22
| op2(e20,e20) = e21
| op2(e21,e21) = e20
| ~ epred2_0 )
& ( op2(e20,e20) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20
| ~ epred2_0 )
& ( op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20
| ~ epred2_0 )
& ( op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20
| ~ epred2_0 )
& ( op2(e23,e23) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20
| ~ epred2_0 )
& ( op2(e20,e20) = e22
| op2(e22,e22) = e21
| op2(e21,e21) = e20
| ~ epred2_0 )
& ( op2(e21,e21) = e22
| op2(e22,e22) = e21
| op2(e21,e21) = e20
| ~ epred2_0 )
& ( op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e21,e21) = e20
| ~ epred2_0 )
& ( op2(e23,e23) = e22
| op2(e22,e22) = e21
| op2(e21,e21) = e20
| ~ epred2_0 )
& ( op2(e20,e20) = e22
| op2(e23,e23) = e21
| op2(e21,e21) = e20
| ~ epred2_0 )
& ( op2(e21,e21) = e22
| op2(e23,e23) = e21
| op2(e21,e21) = e20
| ~ epred2_0 )
& ( op2(e22,e22) = e22
| op2(e23,e23) = e21
| op2(e21,e21) = e20
| ~ epred2_0 )
& ( op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e21,e21) = e20
| ~ epred2_0 )
& ( op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e22,e22) = e20
| ~ epred2_0 )
& ( op2(e21,e21) = e22
| op2(e20,e20) = e21
| op2(e22,e22) = e20
| ~ epred2_0 )
& ( op2(e22,e22) = e22
| op2(e20,e20) = e21
| op2(e22,e22) = e20
| ~ epred2_0 )
& ( op2(e23,e23) = e22
| op2(e20,e20) = e21
| op2(e22,e22) = e20
| ~ epred2_0 )
& ( op2(e20,e20) = e22
| op2(e21,e21) = e21
| op2(e22,e22) = e20
| ~ epred2_0 )
& ( op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e22,e22) = e20
| ~ epred2_0 )
& ( op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e22,e22) = e20
| ~ epred2_0 )
& ( op2(e23,e23) = e22
| op2(e21,e21) = e21
| op2(e22,e22) = e20
| ~ epred2_0 )
& ( op2(e20,e20) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20
| ~ epred2_0 )
& ( op2(e21,e21) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20
| ~ epred2_0 )
& ( op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20
| ~ epred2_0 )
& ( op2(e23,e23) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20
| ~ epred2_0 )
& ( op2(e20,e20) = e22
| op2(e23,e23) = e21
| op2(e22,e22) = e20
| ~ epred2_0 )
& ( op2(e21,e21) = e22
| op2(e23,e23) = e21
| op2(e22,e22) = e20
| ~ epred2_0 )
& ( op2(e22,e22) = e22
| op2(e23,e23) = e21
| op2(e22,e22) = e20
| ~ epred2_0 )
& ( op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e22,e22) = e20
| ~ epred2_0 )
& ( op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e23,e23) = e20
| ~ epred2_0 )
& ( op2(e21,e21) = e22
| op2(e20,e20) = e21
| op2(e23,e23) = e20
| ~ epred2_0 )
& ( op2(e22,e22) = e22
| op2(e20,e20) = e21
| op2(e23,e23) = e20
| ~ epred2_0 )
& ( op2(e23,e23) = e22
| op2(e20,e20) = e21
| op2(e23,e23) = e20
| ~ epred2_0 )
& ( op2(e20,e20) = e22
| op2(e21,e21) = e21
| op2(e23,e23) = e20
| ~ epred2_0 )
& ( op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e23,e23) = e20
| ~ epred2_0 )
& ( op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e23,e23) = e20
| ~ epred2_0 )
& ( op2(e23,e23) = e22
| op2(e21,e21) = e21
| op2(e23,e23) = e20
| ~ epred2_0 )
& ( op2(e20,e20) = e22
| op2(e22,e22) = e21
| op2(e23,e23) = e20
| ~ epred2_0 )
& ( op2(e21,e21) = e22
| op2(e22,e22) = e21
| op2(e23,e23) = e20
| ~ epred2_0 )
& ( op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e23,e23) = e20
| ~ epred2_0 )
& ( op2(e23,e23) = e22
| op2(e22,e22) = e21
| op2(e23,e23) = e20
| ~ epred2_0 )
& ( op2(e20,e20) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20
| ~ epred2_0 )
& ( op2(e21,e21) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20
| ~ epred2_0 )
& ( op2(e22,e22) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20
| ~ epred2_0 )
& ( op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])]) ).
cnf(c_0_64,plain,
h2(e10) = op2(e22,e22),
inference(split_conjunct,[status(thm)],[ax27]) ).
cnf(c_0_65,plain,
h7(e12) = e22,
inference(split_conjunct,[status(thm)],[ax32]) ).
cnf(c_0_66,plain,
( op2(e23,e23) = e23
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_67,plain,
op2(h10(e12),h10(e12)) = h1(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_39]),c_0_47]),c_0_39]),c_0_47]),c_0_54]) ).
cnf(c_0_68,plain,
h10(e12) != h1(e12),
inference(rw,[status(thm)],[c_0_55,c_0_54]) ).
cnf(c_0_69,plain,
e21 != h1(e12),
inference(rw,[status(thm)],[c_0_56,c_0_54]) ).
cnf(c_0_70,plain,
h4(e12) = e21,
inference(split_conjunct,[status(thm)],[ax29]) ).
cnf(c_0_71,plain,
e22 != h1(e12),
inference(rw,[status(thm)],[c_0_57,c_0_54]) ).
cnf(c_0_72,plain,
e21 = op2(e22,e23),
inference(split_conjunct,[status(thm)],[ax25]) ).
cnf(c_0_73,plain,
h6(e11) = op2(e21,e23),
inference(split_conjunct,[status(thm)],[ax31]) ).
cnf(c_0_74,plain,
h7(e11) = op2(e22,e20),
inference(split_conjunct,[status(thm)],[ax32]) ).
cnf(c_0_75,plain,
op1(unit1,e10) = e10,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_76,plain,
( unit1 = e12
| unit1 = e11
| unit1 = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_33]),c_0_34]) ).
cnf(c_0_77,plain,
op1(e11,e10) = op1(e10,e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61]),c_0_61]) ).
cnf(c_0_78,plain,
op1(e10,e11) != e10,
inference(rw,[status(thm)],[c_0_62,c_0_49]) ).
cnf(c_0_79,plain,
op2(e20,e20) != op2(e20,e22),
inference(split_conjunct,[status(thm)],[ax18]) ).
cnf(c_0_80,plain,
h2(e11) = op2(e20,e22),
inference(split_conjunct,[status(thm)],[ax27]) ).
cnf(c_0_81,plain,
h4(e10) = op2(e20,e20),
inference(split_conjunct,[status(thm)],[ax29]) ).
cnf(c_0_82,plain,
( op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e22,e22) = e20
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_83,plain,
op2(h7(e12),h7(e12)) = h2(e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65]),c_0_65]) ).
cnf(c_0_84,plain,
epred2_0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[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_66,c_0_39]),c_0_47]),c_0_39]),c_0_47]),c_0_67]),c_0_39]),c_0_47]),c_0_68]) ).
cnf(c_0_85,plain,
h4(e12) != h1(e12),
inference(rw,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_86,plain,
h7(e12) != h1(e12),
inference(rw,[status(thm)],[c_0_71,c_0_65]) ).
cnf(c_0_87,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_88,plain,
op2(h7(e12),h10(e12)) = h4(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_65]),c_0_39]),c_0_47]),c_0_70]) ).
cnf(c_0_89,plain,
op2(h4(e12),h10(e12)) = h6(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_70]),c_0_39]),c_0_47]) ).
cnf(c_0_90,plain,
op2(h7(e12),h1(e12)) = h7(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_65]),c_0_54]) ).
cnf(c_0_91,plain,
( op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e12,e12) = e10
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_92,plain,
inv1(unit1) = unit1,
inference(split_conjunct,[status(thm)],[ax9]) ).
cnf(c_0_93,plain,
( unit1 = e10
| unit1 = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_78]) ).
fof(c_0_94,plain,
( epred3_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_95,plain,
( epred4_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_96,plain,
( epred5_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_97,plain,
( epred6_0
<=> ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_98,plain,
( epred7_0
<=> ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_99,plain,
( epred8_0
<=> ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_100,plain,
( epred9_0
<=> ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_101,plain,
( epred10_0
<=> ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_102,plain,
( epred11_0
<=> ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_103,plain,
( epred12_0
<=> ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_104,plain,
( epred13_0
<=> ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_105,plain,
( epred14_0
<=> ( h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& ( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(e13) = e20 )
& ( h12(e10) = e21
| h12(e11) = e21
| h12(e12) = e21
| h12(e13) = e21 )
& ( h12(e10) = e22
| h12(e11) = e22
| h12(e12) = e22
| h12(e13) = e22 ) ) ),
introduced(definition) ).
cnf(c_0_106,plain,
op2(e21,e21) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[ax18]) ).
cnf(c_0_107,plain,
h1(e10) = op2(e21,e21),
inference(split_conjunct,[status(thm)],[ax26]) ).
cnf(c_0_108,plain,
op2(h1(e12),h7(e12)) != op2(h1(e12),h1(e12)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_54]),c_0_65]),c_0_54]),c_0_54]) ).
cnf(c_0_109,plain,
op2(h1(e12),h7(e12)) = h2(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_54]),c_0_65]) ).
cnf(c_0_110,plain,
op2(h1(e12),h1(e12)) = h4(e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_54]),c_0_54]) ).
cnf(c_0_111,plain,
( op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e20,e20) = e20
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_112,plain,
op2(e21,e23) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[ax18]) ).
cnf(c_0_113,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_114,plain,
h2(e10) = h1(e12),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_82,c_0_65]),c_0_65]),c_0_83]),c_0_54]),c_0_39]),c_0_47]),c_0_39]),c_0_47]),c_0_67]),c_0_70]),c_0_39]),c_0_47]),c_0_39]),c_0_47]),c_0_67]),c_0_65]),c_0_84])]),c_0_85]),c_0_86]) ).
cnf(c_0_115,plain,
h7(e11) = h6(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_87,c_0_65]),c_0_39]),c_0_47]),c_0_88]),c_0_39]),c_0_47]),c_0_89]),c_0_65]),c_0_39]),c_0_47]),c_0_39]),c_0_47]),c_0_67]),c_0_90]) ).
cnf(c_0_116,plain,
h12(e11) = op2(e23,e22),
inference(split_conjunct,[status(thm)],[ax37]) ).
cnf(c_0_117,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_118,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_119,plain,
op1(e12,e12) = e10,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_49]),c_0_49]),c_0_42])]),c_0_50]),c_0_44]) ).
cnf(c_0_120,plain,
op1(unit1,e12) = e12,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_121,plain,
( inv1(e10) = e10
| unit1 = e12 ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_122,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(split_conjunct,[status(thm)],[ax2]) ).
fof(c_0_123,negated_conjecture,
~ ( ( epred3_0
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( epred4_0
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( epred5_0
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( epred6_0
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) )
| ( epred7_0
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
| ( epred8_0
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
| ( epred9_0
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
| ( epred10_0
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
| ( epred11_0
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
| ( epred12_0
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
| ( epred13_0
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
| ( epred14_0
& ( h12(e10) = e23
| h12(e11) = e23
| h12(e12) = e23
| h12(e13) = e23 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[co1]),c_0_94]),c_0_95]),c_0_96]),c_0_97]),c_0_98]),c_0_99]),c_0_100]),c_0_101]),c_0_102]),c_0_103]),c_0_104]),c_0_105]) ).
cnf(c_0_124,plain,
op2(h4(e12),h7(e12)) != op2(h4(e12),h4(e12)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_70]),c_0_65]),c_0_70]),c_0_70]) ).
cnf(c_0_125,plain,
op2(h4(e12),h4(e12)) = h1(e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_70]),c_0_70]) ).
cnf(c_0_126,plain,
h5(e11) = op2(e21,e22),
inference(split_conjunct,[status(thm)],[ax30]) ).
cnf(c_0_127,plain,
h4(e10) != h2(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_109]),c_0_110]) ).
cnf(c_0_128,plain,
h4(e10) = h1(e12),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_111,c_0_54]),c_0_54]),c_0_110]),c_0_54]),c_0_39]),c_0_47]),c_0_39]),c_0_47]),c_0_67]),c_0_70]),c_0_39]),c_0_47]),c_0_39]),c_0_47]),c_0_67]),c_0_65]),c_0_84])]),c_0_85]),c_0_86]) ).
cnf(c_0_129,plain,
h6(e11) != h4(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_112,c_0_65]),c_0_39]),c_0_47]),c_0_88]),c_0_70]),c_0_39]),c_0_47]),c_0_89]) ).
cnf(c_0_130,plain,
h6(e11) = h2(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_113,c_0_65]),c_0_65]),c_0_83]),c_0_114]),c_0_65]),c_0_109]),c_0_65]),c_0_65]),c_0_65]),c_0_83]),c_0_114]),c_0_90]),c_0_115]) ).
cnf(c_0_131,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_132,plain,
op2(h10(e12),h7(e12)) = h12(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_39]),c_0_47]),c_0_65]) ).
cnf(c_0_133,plain,
op2(h2(e11),h7(e12)) = op2(h1(e12),h2(e10)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_117,c_0_54]),c_0_65]),c_0_109]),c_0_65]),c_0_54]),c_0_65]),c_0_65]),c_0_83]) ).
cnf(c_0_134,plain,
op2(e20,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax18]) ).
cnf(c_0_135,plain,
h3(e11) = op2(e20,e23),
inference(split_conjunct,[status(thm)],[ax28]) ).
cnf(c_0_136,plain,
op2(e20,e22) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[ax18]) ).
cnf(c_0_137,plain,
h8(e11) = op2(e22,e21),
inference(split_conjunct,[status(thm)],[ax33]) ).
cnf(c_0_138,plain,
( op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e21,e21) = e20
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_139,plain,
h11(e11) = op2(e23,e21),
inference(split_conjunct,[status(thm)],[ax36]) ).
cnf(c_0_140,plain,
op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_141,plain,
op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_142,plain,
op1(e10,e12) = op1(e12,e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_119]),c_0_119]) ).
cnf(c_0_143,plain,
op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_144,plain,
op1(e10,inv1(e10)) = unit1,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_145,plain,
inv1(e10) = e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_119]),c_0_44]) ).
cnf(c_0_146,plain,
op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_147,plain,
op1(e10,e13) = op1(e12,e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_119]),c_0_36]) ).
fof(c_0_148,negated_conjecture,
( ( h1(e10) != e23
| ~ epred3_0 )
& ( h1(e11) != e23
| ~ epred3_0 )
& ( h1(e12) != e23
| ~ epred3_0 )
& ( h1(e13) != e23
| ~ epred3_0 )
& ( h2(e10) != e23
| ~ epred4_0 )
& ( h2(e11) != e23
| ~ epred4_0 )
& ( h2(e12) != e23
| ~ epred4_0 )
& ( h2(e13) != e23
| ~ epred4_0 )
& ( h3(e10) != e23
| ~ epred5_0 )
& ( h3(e11) != e23
| ~ epred5_0 )
& ( h3(e12) != e23
| ~ epred5_0 )
& ( h3(e13) != e23
| ~ epred5_0 )
& ( h4(e10) != e23
| ~ epred6_0 )
& ( h4(e11) != e23
| ~ epred6_0 )
& ( h4(e12) != e23
| ~ epred6_0 )
& ( h4(e13) != e23
| ~ epred6_0 )
& ( h5(e10) != e23
| ~ epred7_0 )
& ( h5(e11) != e23
| ~ epred7_0 )
& ( h5(e12) != e23
| ~ epred7_0 )
& ( h5(e13) != e23
| ~ epred7_0 )
& ( h6(e10) != e23
| ~ epred8_0 )
& ( h6(e11) != e23
| ~ epred8_0 )
& ( h6(e12) != e23
| ~ epred8_0 )
& ( h6(e13) != e23
| ~ epred8_0 )
& ( h7(e10) != e23
| ~ epred9_0 )
& ( h7(e11) != e23
| ~ epred9_0 )
& ( h7(e12) != e23
| ~ epred9_0 )
& ( h7(e13) != e23
| ~ epred9_0 )
& ( h8(e10) != e23
| ~ epred10_0 )
& ( h8(e11) != e23
| ~ epred10_0 )
& ( h8(e12) != e23
| ~ epred10_0 )
& ( h8(e13) != e23
| ~ epred10_0 )
& ( h9(e10) != e23
| ~ epred11_0 )
& ( h9(e11) != e23
| ~ epred11_0 )
& ( h9(e12) != e23
| ~ epred11_0 )
& ( h9(e13) != e23
| ~ epred11_0 )
& ( h10(e10) != e23
| ~ epred12_0 )
& ( h10(e11) != e23
| ~ epred12_0 )
& ( h10(e12) != e23
| ~ epred12_0 )
& ( h10(e13) != e23
| ~ epred12_0 )
& ( h11(e10) != e23
| ~ epred13_0 )
& ( h11(e11) != e23
| ~ epred13_0 )
& ( h11(e12) != e23
| ~ epred13_0 )
& ( h11(e13) != e23
| ~ epred13_0 )
& ( h12(e10) != e23
| ~ epred14_0 )
& ( h12(e11) != e23
| ~ epred14_0 )
& ( h12(e12) != e23
| ~ epred14_0 )
& ( h12(e13) != e23
| ~ epred14_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_123])]) ).
cnf(c_0_149,plain,
h9(e13) = e23,
inference(split_conjunct,[status(thm)],[ax34]) ).
cnf(c_0_150,plain,
op2(h4(e12),h7(e12)) != h1(e10),
inference(rw,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_151,plain,
op2(h4(e12),h7(e12)) = h5(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_70]),c_0_65]) ).
cnf(c_0_152,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_153,plain,
h2(e11) != h1(e12),
inference(rw,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_154,plain,
h4(e12) != h2(e11),
inference(rw,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_155,plain,
op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_156,plain,
op2(h6(e11),h7(e12)) = op2(h4(e12),h12(e11)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_131,c_0_70]),c_0_39]),c_0_47]),c_0_89]),c_0_65]),c_0_70]),c_0_39]),c_0_47]),c_0_65]),c_0_132]) ).
cnf(c_0_157,plain,
op2(h2(e11),h7(e12)) = h1(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_114]),c_0_110]),c_0_128]) ).
cnf(c_0_158,plain,
h1(e11) = op2(e20,e21),
inference(split_conjunct,[status(thm)],[ax26]) ).
cnf(c_0_159,plain,
op2(e20,e22) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[ax18]) ).
cnf(c_0_160,plain,
op2(e21,e20) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[ax18]) ).
cnf(c_0_161,plain,
h4(e11) = op2(e21,e20),
inference(split_conjunct,[status(thm)],[ax29]) ).
cnf(c_0_162,plain,
op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_163,plain,
op2(h1(e12),h10(e12)) != h1(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_134,c_0_39]),c_0_47]),c_0_39]),c_0_47]),c_0_67]),c_0_54]),c_0_39]),c_0_47]) ).
cnf(c_0_164,plain,
op2(h1(e12),h10(e12)) = h3(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_54]),c_0_39]),c_0_47]) ).
cnf(c_0_165,plain,
op2(e20,e23) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[ax18]) ).
cnf(c_0_166,plain,
op2(h1(e12),h10(e12)) != op2(h1(e12),h7(e12)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_54]),c_0_39]),c_0_47]),c_0_54]),c_0_65]) ).
cnf(c_0_167,plain,
h10(e11) = op2(e23,e20),
inference(split_conjunct,[status(thm)],[ax35]) ).
cnf(c_0_168,plain,
op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_169,plain,
op2(h7(e12),h4(e12)) = h8(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_65]),c_0_70]) ).
cnf(c_0_170,plain,
h1(e10) = h1(e12),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_138,c_0_70]),c_0_70]),c_0_125]),c_0_54]),c_0_39]),c_0_47]),c_0_39]),c_0_47]),c_0_67]),c_0_70]),c_0_39]),c_0_47]),c_0_39]),c_0_47]),c_0_67]),c_0_65]),c_0_84])]),c_0_85]),c_0_86]) ).
cnf(c_0_171,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_172,plain,
op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_173,plain,
op2(h10(e12),h4(e12)) = h11(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_39]),c_0_47]),c_0_70]) ).
cnf(c_0_174,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_175,plain,
op1(e10,op1(e10,e13)) = op1(e10,e13),
inference(rw,[status(thm)],[c_0_140,c_0_49]) ).
cnf(c_0_176,plain,
op1(e10,op1(e12,e11)) = op1(e12,op1(e10,e11)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_142]),c_0_143]) ).
cnf(c_0_177,plain,
op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_178,plain,
op1(e12,unit1) = e12,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_179,plain,
unit1 = e10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_145]),c_0_49]) ).
cnf(c_0_180,plain,
op1(e13,unit1) = e13,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_181,plain,
op1(e13,e10) = op1(e12,e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_33]),c_0_147]),c_0_33]) ).
cnf(c_0_182,plain,
op2(e23,e22) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax18]) ).
fof(c_0_183,plain,
( ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 ) )
=> epred11_0 ),
inference(split_equiv,[status(thm)],[c_0_102]) ).
cnf(c_0_184,negated_conjecture,
( h9(e13) != e23
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
cnf(c_0_185,plain,
h9(e13) = h3(e13),
inference(rw,[status(thm)],[c_0_149,c_0_39]) ).
cnf(c_0_186,plain,
h5(e11) != h1(e10),
inference(rw,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_187,plain,
( h10(e12) = h2(e11)
| h7(e12) = h2(e11) ),
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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_152,c_0_70]),c_0_39]),c_0_47]),c_0_89]),c_0_130]),c_0_54]),c_0_70]),c_0_39]),c_0_47]),c_0_89]),c_0_130]),c_0_70]),c_0_70]),c_0_39]),c_0_47]),c_0_89]),c_0_130]),c_0_65]),c_0_70]),c_0_39]),c_0_47]),c_0_89]),c_0_130]),c_0_39]),c_0_47]),c_0_153]),c_0_154]) ).
cnf(c_0_188,plain,
op2(h7(e12),h2(e11)) = op2(h4(e12),h12(e11)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_155,c_0_65]),c_0_54]),c_0_90]),c_0_115]),c_0_65]),c_0_156]),c_0_65]),c_0_54]),c_0_65]),c_0_109]) ).
cnf(c_0_189,plain,
op2(h4(e12),h12(e11)) = h1(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_130]),c_0_157]) ).
cnf(c_0_190,plain,
op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_191,plain,
op2(h1(e12),h4(e12)) = h1(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_54]),c_0_70]) ).
cnf(c_0_192,plain,
op2(h4(e12),h7(e12)) != op2(h1(e12),h7(e12)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_70]),c_0_65]),c_0_54]),c_0_65]) ).
cnf(c_0_193,plain,
op2(h4(e12),h7(e12)) != op2(h4(e12),h1(e12)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_70]),c_0_65]),c_0_70]),c_0_54]) ).
cnf(c_0_194,plain,
op2(h4(e12),h1(e12)) = h4(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_70]),c_0_54]) ).
cnf(c_0_195,plain,
op2(h4(e12),h1(e10)) = op2(h1(e10),h4(e12)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_162,c_0_70]),c_0_70]),c_0_125]),c_0_70]),c_0_70]),c_0_70]),c_0_70]),c_0_125]) ).
cnf(c_0_196,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_197,plain,
h3(e11) != h1(e12),
inference(rw,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_198,plain,
h4(e12) != h3(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_165,c_0_65]),c_0_39]),c_0_47]),c_0_88]),c_0_54]),c_0_39]),c_0_47]),c_0_164]) ).
cnf(c_0_199,plain,
op2(h1(e12),h7(e12)) != h3(e11),
inference(rw,[status(thm)],[c_0_166,c_0_164]) ).
cnf(c_0_200,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_201,plain,
op2(h10(e12),h1(e12)) = h10(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_39]),c_0_47]),c_0_54]) ).
cnf(c_0_202,plain,
op2(h8(e11),h4(e12)) = h6(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_168,c_0_65]),c_0_70]),c_0_169]),c_0_70]),c_0_65]),c_0_70]),c_0_70]),c_0_125]),c_0_170]),c_0_90]),c_0_115]) ).
cnf(c_0_203,plain,
h8(e11) = h3(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_171,c_0_65]),c_0_65]),c_0_83]),c_0_114]),c_0_39]),c_0_47]),c_0_164]),c_0_65]),c_0_65]),c_0_39]),c_0_47]),c_0_88]),c_0_169]) ).
cnf(c_0_204,plain,
op2(h3(e11),h4(e12)) = op2(h1(e12),h11(e11)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_172,c_0_54]),c_0_39]),c_0_47]),c_0_164]),c_0_70]),c_0_54]),c_0_39]),c_0_47]),c_0_70]),c_0_173]) ).
cnf(c_0_205,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_206,plain,
op1(e11,unit1) = e11,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_207,plain,
op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_208,plain,
op1(e11,e13) = op1(e12,e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_36]),c_0_33]) ).
cnf(c_0_209,plain,
op1(e12,op1(e10,e11)) = op1(e12,e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_147]),c_0_147]),c_0_176]) ).
cnf(c_0_210,plain,
op1(op1(e12,e11),e11) = op1(e12,e10),
inference(rw,[status(thm)],[c_0_177,c_0_61]) ).
cnf(c_0_211,plain,
op1(e12,e10) = e12,
inference(rw,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_212,plain,
op1(e12,e11) = e13,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_179]),c_0_181]) ).
cnf(c_0_213,plain,
op2(h10(e12),h7(e12)) != h1(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_182,c_0_39]),c_0_47]),c_0_39]),c_0_47]),c_0_67]),c_0_39]),c_0_47]),c_0_65]) ).
cnf(c_0_214,plain,
op2(e23,e20) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[ax18]) ).
cnf(c_0_215,plain,
op2(e20,e22) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[ax18]) ).
fof(c_0_216,plain,
( ( h9(e10) != e22
| h9(e10) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e11) != e22
| h9(e10) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e12) != e22
| h9(e10) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e13) != e22
| h9(e10) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e10) != e22
| h9(e11) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e11) != e22
| h9(e11) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e12) != e22
| h9(e11) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e13) != e22
| h9(e11) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e10) != e22
| h9(e12) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e11) != e22
| h9(e12) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e12) != e22
| h9(e12) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e13) != e22
| h9(e12) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e10) != e22
| h9(e13) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e11) != e22
| h9(e13) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e12) != e22
| h9(e13) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e13) != e22
| h9(e13) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e10) != e22
| h9(e10) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e11) != e22
| h9(e10) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e12) != e22
| h9(e10) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e13) != e22
| h9(e10) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e10) != e22
| h9(e11) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e11) != e22
| h9(e11) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e12) != e22
| h9(e11) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e13) != e22
| h9(e11) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e10) != e22
| h9(e12) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e11) != e22
| h9(e12) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e12) != e22
| h9(e12) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e13) != e22
| h9(e12) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e10) != e22
| h9(e13) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e11) != e22
| h9(e13) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e12) != e22
| h9(e13) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e13) != e22
| h9(e13) != e21
| h9(e11) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e10) != e22
| h9(e10) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e11) != e22
| h9(e10) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e12) != e22
| h9(e10) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e13) != e22
| h9(e10) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e10) != e22
| h9(e11) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e11) != e22
| h9(e11) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e12) != e22
| h9(e11) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e13) != e22
| h9(e11) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e10) != e22
| h9(e12) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e11) != e22
| h9(e12) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e12) != e22
| h9(e12) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e13) != e22
| h9(e12) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e10) != e22
| h9(e13) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e11) != e22
| h9(e13) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e12) != e22
| h9(e13) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e13) != e22
| h9(e13) != e21
| h9(e12) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e10) != e22
| h9(e10) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e11) != e22
| h9(e10) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e12) != e22
| h9(e10) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e13) != e22
| h9(e10) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e10) != e22
| h9(e11) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e11) != e22
| h9(e11) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e12) != e22
| h9(e11) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e13) != e22
| h9(e11) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e10) != e22
| h9(e12) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e11) != e22
| h9(e12) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e12) != e22
| h9(e12) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e13) != e22
| h9(e12) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e10) != e22
| h9(e13) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e11) != e22
| h9(e13) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e12) != e22
| h9(e13) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 )
& ( h9(e13) != e22
| h9(e13) != e21
| h9(e13) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| epred11_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_183])]) ).
cnf(c_0_217,plain,
h9(e10) = op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax34]) ).
cnf(c_0_218,plain,
h9(e11) = op2(e22,e23),
inference(split_conjunct,[status(thm)],[ax34]) ).
cnf(c_0_219,plain,
h9(e12) = e22,
inference(split_conjunct,[status(thm)],[ax34]) ).
cnf(c_0_220,negated_conjecture,
( h9(e13) != h10(e12)
| ~ epred11_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_39]),c_0_47]) ).
cnf(c_0_221,plain,
h9(e13) = h10(e12),
inference(rw,[status(thm)],[c_0_185,c_0_47]) ).
cnf(c_0_222,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_223,plain,
h5(e11) != h1(e12),
inference(rw,[status(thm)],[c_0_186,c_0_170]) ).
cnf(c_0_224,plain,
h7(e12) = h2(e11),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_187]),c_0_188]),c_0_189]),c_0_85]) ).
cnf(c_0_225,plain,
op2(h2(e11),h10(e12)) = h1(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_190,c_0_54]),c_0_65]),c_0_109]),c_0_39]),c_0_47]),c_0_54]),c_0_65]),c_0_39]),c_0_47]),c_0_88]),c_0_191]) ).
cnf(c_0_226,plain,
op2(h4(e12),h7(e12)) != h2(e11),
inference(rw,[status(thm)],[c_0_192,c_0_109]) ).
cnf(c_0_227,plain,
h5(e11) != h4(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_194]),c_0_151]) ).
cnf(c_0_228,plain,
h4(e11) = h1(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_195,c_0_170]),c_0_194]),c_0_170]),c_0_191]) ).
cnf(c_0_229,plain,
( h10(e12) = h3(e11)
| h7(e12) = h3(e11) ),
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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_196,c_0_54]),c_0_39]),c_0_47]),c_0_164]),c_0_54]),c_0_54]),c_0_39]),c_0_47]),c_0_164]),c_0_70]),c_0_54]),c_0_39]),c_0_47]),c_0_164]),c_0_65]),c_0_54]),c_0_39]),c_0_47]),c_0_164]),c_0_39]),c_0_47]),c_0_197]),c_0_198]) ).
cnf(c_0_230,plain,
h3(e11) != h2(e11),
inference(rw,[status(thm)],[c_0_199,c_0_109]) ).
cnf(c_0_231,plain,
op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_232,plain,
h10(e11) = h3(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_200,c_0_39]),c_0_47]),c_0_39]),c_0_47]),c_0_67]),c_0_39]),c_0_47]),c_0_164]),c_0_39]),c_0_47]),c_0_39]),c_0_47]),c_0_39]),c_0_47]),c_0_67]),c_0_201]) ).
cnf(c_0_233,plain,
op2(h1(e12),h11(e11)) = h6(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_203]),c_0_204]) ).
cnf(c_0_234,plain,
op1(op1(e11,e12),e12) = op1(e10,e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_119]),c_0_77]) ).
cnf(c_0_235,plain,
op1(e10,e11) = e11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_179]),c_0_77]) ).
cnf(c_0_236,plain,
op1(e11,op1(e13,e11)) = op1(e12,e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_208]),c_0_143]),c_0_209]) ).
cnf(c_0_237,plain,
op1(e13,e11) = e12,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_211]),c_0_212]) ).
cnf(c_0_238,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_239,plain,
h12(e11) != h1(e12),
inference(rw,[status(thm)],[c_0_213,c_0_132]) ).
cnf(c_0_240,plain,
h12(e11) != h10(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_214,c_0_39]),c_0_47]),c_0_65]),c_0_132]),c_0_39]),c_0_47]),c_0_54]),c_0_201]) ).
cnf(c_0_241,plain,
op2(h1(e12),h7(e12)) != h12(e11),
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_215,c_0_39]),c_0_47]),c_0_65]),c_0_132]),c_0_54]),c_0_65]) ).
cnf(c_0_242,plain,
( epred11_0
| h9(e12) != e22
| h9(e11) != e21
| h9(e10) != e20
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13)) ),
inference(split_conjunct,[status(thm)],[c_0_216]) ).
cnf(c_0_243,plain,
h9(e10) = h1(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_39]),c_0_47]),c_0_39]),c_0_47]),c_0_67]) ).
cnf(c_0_244,plain,
h9(e11) = h4(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_218,c_0_65]),c_0_39]),c_0_47]),c_0_88]) ).
cnf(c_0_245,plain,
h9(e12) = h7(e12),
inference(rw,[status(thm)],[c_0_219,c_0_65]) ).
cnf(c_0_246,negated_conjecture,
~ epred11_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_221])]) ).
cnf(c_0_247,plain,
( h10(e12) = h5(e11)
| h7(e12) = h5(e11)
| h5(e11) = h4(e12) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_222,c_0_70]),c_0_65]),c_0_151]),c_0_54]),c_0_70]),c_0_65]),c_0_151]),c_0_70]),c_0_70]),c_0_65]),c_0_151]),c_0_65]),c_0_70]),c_0_65]),c_0_151]),c_0_39]),c_0_47]),c_0_223]) ).
cnf(c_0_248,plain,
h4(e12) = h1(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_224]),c_0_225]) ).
cnf(c_0_249,plain,
h5(e11) != h2(e11),
inference(rw,[status(thm)],[c_0_226,c_0_151]) ).
cnf(c_0_250,plain,
h5(e11) != h1(e11),
inference(rw,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_251,plain,
h10(e12) = h3(e11),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_224]),c_0_230]) ).
cnf(c_0_252,plain,
op2(h10(e12),h1(e11)) = h2(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_231,c_0_39]),c_0_47]),c_0_54]),c_0_201]),c_0_232]),c_0_70]),c_0_204]),c_0_233]),c_0_130]),c_0_39]),c_0_47]),c_0_54]),c_0_70]),c_0_191]) ).
cnf(c_0_253,plain,
op1(op1(e11,e12),e12) = e11,
inference(rw,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_254,plain,
op1(e11,e12) = e13,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_237]),c_0_212]) ).
cnf(c_0_255,plain,
( h12(e11) = h10(e12)
| h12(e11) = h7(e12)
| h12(e11) = h4(e12) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_238,c_0_39]),c_0_47]),c_0_65]),c_0_132]),c_0_54]),c_0_39]),c_0_47]),c_0_65]),c_0_132]),c_0_70]),c_0_39]),c_0_47]),c_0_65]),c_0_132]),c_0_65]),c_0_39]),c_0_47]),c_0_65]),c_0_132]),c_0_39]),c_0_47]),c_0_239]) ).
cnf(c_0_256,plain,
h12(e11) != h3(e11),
inference(rw,[status(thm)],[c_0_240,c_0_232]) ).
cnf(c_0_257,plain,
h12(e11) != h2(e11),
inference(rw,[status(thm)],[c_0_241,c_0_109]) ).
cnf(c_0_258,plain,
( h9(op1(e10,e11)) != h1(e11)
| h9(op1(e12,e10)) != h2(e11)
| h9(op1(e12,e11)) != h3(e11)
| h9(op1(e11,e12)) != h5(e11)
| h9(op1(e13,e11)) != h11(e11)
| h9(op1(e13,e12)) != h12(e11) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_242,c_0_54]),c_0_243]),c_0_70]),c_0_244]),c_0_65]),c_0_245]),c_0_243]),c_0_243]),c_0_110]),c_0_128]),c_0_49]),c_0_243]),c_0_243]),c_0_244]),c_0_191]),c_0_243]),c_0_245]),c_0_109]),c_0_142]),c_0_243]),c_0_221]),c_0_164]),c_0_147]),c_0_244]),c_0_243]),c_0_194]),c_0_228]),c_0_77]),c_0_244]),c_0_244]),c_0_125]),c_0_170]),c_0_61]),c_0_243]),c_0_244]),c_0_245]),c_0_151]),c_0_244]),c_0_221]),c_0_89]),c_0_130]),c_0_208]),c_0_245]),c_0_243]),c_0_90]),c_0_115]),c_0_130]),c_0_245]),c_0_244]),c_0_169]),c_0_203]),c_0_245]),c_0_245]),c_0_83]),c_0_114]),c_0_119]),c_0_243]),c_0_245]),c_0_221]),c_0_88]),c_0_36]),c_0_244]),c_0_221]),c_0_243]),c_0_201]),c_0_232]),c_0_181]),c_0_221]),c_0_244]),c_0_173]),c_0_221]),c_0_245]),c_0_132]),c_0_221]),c_0_221]),c_0_67]),c_0_33]),c_0_243])]),c_0_246]) ).
cnf(c_0_259,plain,
h5(e11) = h3(e11),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_224]),c_0_248]),c_0_249]),c_0_250]),c_0_251]) ).
cnf(c_0_260,plain,
h11(e11) = h2(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_248]),c_0_252]) ).
cnf(c_0_261,plain,
op1(e13,e12) = e11,
inference(rw,[status(thm)],[c_0_253,c_0_254]) ).
cnf(c_0_262,plain,
h12(e11) = h1(e11),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_255,c_0_251]),c_0_224]),c_0_248]),c_0_256]),c_0_257]) ).
cnf(c_0_263,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_258,c_0_235]),c_0_244]),c_0_248]),c_0_211]),c_0_245]),c_0_224]),c_0_212]),c_0_221]),c_0_251]),c_0_254]),c_0_221]),c_0_251]),c_0_259]),c_0_237]),c_0_245]),c_0_224]),c_0_260]),c_0_261]),c_0_244]),c_0_248]),c_0_262])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG015+1 : TPTP v9.2.1. Released v2.7.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n008.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 10:15:28 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 2.03/2.05 % Version : CSE_E---1.7
% 2.03/2.05 % Problem : theBenchmark.p
% 2.03/2.05 % SZS status Theorem for theBenchmark.p
% 2.03/2.05 % SZS output start CNFRefutation
% See solution above
% 2.03/2.06 % Total time : 1.535s
%------------------------------------------------------------------------------