%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ALG118+1 : TPTP v9.2.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:05:28 PM UTC 2026
% Result : Theorem 2.25s 2.09s
% Output : CNFRefutation 2.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 25
% Syntax : Number of formulae : 444 ( 214 unt; 0 def)
% Number of atoms : 4606 (4349 equ)
% Maximal formula atoms : 1280 ( 10 avg)
% Number of connectives : 6439 (2277 ~;2743 |;1408 &)
% ( 8 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 84 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 9 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax10,axiom,
( ( op1(e10,e10) = e10
| op1(e11,e10) = e11
| op1(e12,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e12,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e11
| op1(e12,e13) = e12
| op1(e13,e13) = e13 )
& ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13 ) )
& ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e13) = e13 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(ax12,axiom,
( e10 = op1(e11,e11)
& e12 = op1(op1(op1(e11,e11),e11),op1(e11,e11))
& e13 = op1(op1(e11,e11),e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(ax5,axiom,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(ax7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(ax1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(ax2,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(ax13,axiom,
( e20 = op2(e21,e21)
& e22 = op2(op2(op2(e21,e21),e21),op2(e21,e21))
& e23 = op2(op2(e21,e21),e21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(ax14,axiom,
( h1(e11) = e20
& h1(e10) = op2(e20,e20)
& h1(e12) = op2(op2(op2(e20,e20),e20),op2(e20,e20))
& h1(e13) = op2(op2(e20,e20),e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(ax17,axiom,
( h4(e11) = e23
& h4(e10) = op2(e23,e23)
& h4(e12) = op2(op2(op2(e23,e23),e23),op2(e23,e23))
& h4(e13) = op2(op2(e23,e23),e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(ax11,axiom,
( ( op2(e20,e20) = e20
| op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e21
| op2(e22,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e22,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22
| op2(e23,e23) = e23 )
& ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23 ) )
& ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e23) = e23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(ax6,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(ax8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(ax3,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(ax4,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(co1,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax16,axiom,
( h3(e11) = e22
& h3(e10) = op2(e22,e22)
& h3(e12) = op2(op2(op2(e22,e22),e22),op2(e22,e22))
& h3(e13) = op2(op2(e22,e22),e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(ax15,axiom,
( h2(e11) = e21
& h2(e10) = op2(e21,e21)
& h2(e12) = op2(op2(op2(e21,e21),e21),op2(e21,e21))
& h2(e13) = op2(op2(e21,e21),e21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(c_0_17,plain,
( epred1_0
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 ) ) ),
introduced(definition) ).
fof(c_0_18,plain,
( epred21_0
<=> ( op1(e10,e10) = e10
| ( op1(e10,e10) = e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,e10) = e10
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e10,e10) = e10
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e11,e11) = e11
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| op1(e11,e11) = e11
| ( op1(e11,e11) = e11
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e11,e11) = e11
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e12,e12) = e12
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,e12) = e12
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| op1(e12,e12) = e12
| ( op1(e12,e12) = e12
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e13,e13) = e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,e13) = e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,e13) = e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ) ),
introduced(definition) ).
fof(c_0_19,plain,
( ( op1(e10,e10) = e10
| op1(e11,e10) = e11
| op1(e12,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e12,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e11
| op1(e12,e13) = e12
| op1(e13,e13) = e13 )
& ( epred1_0
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13 ) )
& ( epred21_0
| op1(e13,e13) = e13 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax10]),c_0_17]),c_0_18]) ).
cnf(c_0_20,plain,
e13 = op1(op1(e11,e11),e11),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_21,plain,
e10 = op1(e11,e11),
inference(split_conjunct,[status(thm)],[ax12]) ).
fof(c_0_22,plain,
( ( op1(e10,e10) = e10
| op1(e11,e10) = e11
| op1(e12,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e12,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e11
| op1(e12,e13) = e12
| op1(e13,e13) = e13 )
& ( op1(e13,op1(e13,e10)) != e10
| epred1_0 )
& ( op1(e13,op1(e13,e11)) != e11
| epred1_0 )
& ( op1(e13,op1(e13,e12)) != e12
| epred1_0 )
& ( op1(e13,op1(e13,e13)) != e13
| epred1_0 )
& ( epred21_0
| op1(e13,e13) = e13 ) ),
inference(distribute,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
op1(e10,e11) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_24,plain,
op1(e10,e11) = e13,
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
op1(e10,e10) != op1(e10,e11),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_26,plain,
e12 = op1(op1(op1(e11,e11),e11),op1(e11,e11)),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_27,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
e10 != e13,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_29,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_30,plain,
op1(e13,e11) != e13,
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_32,plain,
op1(e10,e10) != e13,
inference(rw,[status(thm)],[c_0_25,c_0_24]) ).
cnf(c_0_33,plain,
op1(e10,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_34,plain,
op1(e13,e10) = e12,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_21]),c_0_24]),c_0_21]) ).
cnf(c_0_35,plain,
op1(e12,e10) != op1(e12,e11),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_36,plain,
op1(e12,e11) = e12,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_24]),c_0_21]),c_0_28]),c_0_29]),c_0_30]) ).
cnf(c_0_37,plain,
( op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,plain,
op1(e10,e10) != e12,
inference(rw,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
op1(e11,e10) != op1(e11,e11),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_40,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e11
| op1(e12,e10) = e12
| op1(e13,e10) = e13 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_41,plain,
op1(e12,e10) != e12,
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,plain,
op1(e10,e10) != op1(e12,e10),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_43,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference(sr,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_44,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_45,plain,
e11 != e13,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_46,plain,
e11 != e12,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_47,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_48,plain,
op1(e11,e10) != e10,
inference(rw,[status(thm)],[c_0_39,c_0_21]) ).
cnf(c_0_49,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e11
| op1(e13,e10) = e13 ),
inference(sr,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_50,plain,
e12 != e13,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_51,plain,
op1(e10,e10) != op1(e11,e10),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_52,plain,
( op1(e10,e10) = e11
| op1(e12,e10) != e10 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_53,plain,
op1(e13,e11) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_54,plain,
op1(e13,e11) = e11,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_24]),c_0_21]),c_0_36]),c_0_45]),c_0_29]),c_0_46]) ).
cnf(c_0_55,plain,
op1(e10,e10) != op1(e10,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_56,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_57,plain,
op1(e11,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_58,plain,
e20 = op2(e21,e21),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_59,plain,
h1(e11) = e20,
inference(split_conjunct,[status(thm)],[ax14]) ).
cnf(c_0_60,plain,
op1(e13,e11) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_61,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_62,plain,
e10 != e12,
inference(split_conjunct,[status(thm)],[ax7]) ).
cnf(c_0_63,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e11 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_49]),c_0_50]) ).
cnf(c_0_64,plain,
( op1(e11,e10) != e11
| op1(e12,e10) != e10 ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_65,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_66,plain,
op1(e13,e12) != e11,
inference(rw,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_67,plain,
op1(e13,e10) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_68,plain,
op1(e12,e11) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_69,plain,
( op1(e10,e10) = e11
| op1(e10,e12) != e10 ),
inference(spm,[status(thm)],[c_0_55,c_0_43]) ).
cnf(c_0_70,plain,
( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11 ),
inference(sr,[status(thm)],[c_0_56,c_0_48]) ).
cnf(c_0_71,plain,
op1(e11,e10) != e12,
inference(rw,[status(thm)],[c_0_57,c_0_34]) ).
fof(c_0_72,plain,
( epred22_0
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 ) ) ),
introduced(definition) ).
fof(c_0_73,plain,
( epred42_0
<=> ( op2(e20,e20) = e20
| ( op2(e20,e20) = e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,e20) = e20
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e20,e20) = e20
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e21,e21) = e21
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| op2(e21,e21) = e21
| ( op2(e21,e21) = e21
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e21,e21) = e21
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e22,e22) = e22
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,e22) = e22
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| op2(e22,e22) = e22
| ( op2(e22,e22) = e22
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e23,e23) = e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,e23) = e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,e23) = e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ) ),
introduced(definition) ).
cnf(c_0_74,plain,
e23 = op2(op2(e21,e21),e21),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_75,plain,
op2(e21,e21) = h1(e11),
inference(rw,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_76,plain,
h4(e11) = e23,
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_77,plain,
h1(e10) = op2(e20,e20),
inference(split_conjunct,[status(thm)],[ax14]) ).
cnf(c_0_78,plain,
( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_79,plain,
op1(e13,e13) != e11,
inference(rw,[status(thm)],[c_0_60,c_0_54]) ).
cnf(c_0_80,plain,
op1(e13,e10) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_81,plain,
op1(e12,e11) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_82,plain,
( op1(e12,e10) = e10
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_61]),c_0_62]) ).
cnf(c_0_83,plain,
op1(e12,e10) != e10,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_63]),c_0_64]) ).
cnf(c_0_84,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e10 ),
inference(sr,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_85,plain,
op1(e13,e12) != e12,
inference(rw,[status(thm)],[c_0_67,c_0_34]) ).
cnf(c_0_86,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e12,e12) = e12
| op1(e13,e12) = e13 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_87,plain,
op1(e12,e12) != e12,
inference(rw,[status(thm)],[c_0_68,c_0_36]) ).
cnf(c_0_88,plain,
( op1(e11,e10) != e11
| op1(e10,e12) != e10 ),
inference(spm,[status(thm)],[c_0_51,c_0_69]) ).
cnf(c_0_89,plain,
op1(e11,e10) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_90,plain,
( op1(e11,e10) = e11
| op1(e11,e10) = e13 ),
inference(sr,[status(thm)],[c_0_70,c_0_71]) ).
fof(c_0_91,plain,
( ( op2(e20,e20) = e20
| op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e21
| op2(e22,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e22,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22
| op2(e23,e23) = e23 )
& ( epred22_0
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23 ) )
& ( epred42_0
| op2(e23,e23) = e23 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax11]),c_0_72]),c_0_73]) ).
cnf(c_0_92,plain,
op2(e23,e20) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_93,plain,
e22 = op2(op2(op2(e21,e21),e21),op2(e21,e21)),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_94,plain,
op2(h1(e11),e21) = h4(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
cnf(c_0_95,plain,
op2(e20,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_96,plain,
op2(e22,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_97,plain,
op2(e20,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_98,plain,
op2(h1(e11),h1(e11)) = h1(e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_59]),c_0_59]) ).
cnf(c_0_99,plain,
op2(e20,e20) != op2(e20,e21),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_100,plain,
( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e10 ),
inference(sr,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_101,plain,
op1(e13,e13) != e12,
inference(rw,[status(thm)],[c_0_80,c_0_34]) ).
cnf(c_0_102,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e11
| op1(e12,e13) = e12
| op1(e13,e13) = e13 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_103,plain,
op1(e12,e13) != e12,
inference(rw,[status(thm)],[c_0_81,c_0_36]) ).
cnf(c_0_104,plain,
op1(e10,e10) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_105,plain,
op1(e10,e10) = e10,
inference(sr,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_106,plain,
op1(e11,e12) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_107,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e13 ),
inference(sr,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_108,plain,
( op1(e13,e12) = e13
| op1(e11,e12) = e11
| op1(e10,e12) = e10 ),
inference(sr,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_109,plain,
op1(e10,e12) != e10,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_63]),c_0_88]) ).
cnf(c_0_110,plain,
( op1(e11,e10) = e11
| op1(e11,e12) != e13 ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
fof(c_0_111,plain,
( epred1_0
=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 ) ) ),
inference(split_equiv,[status(thm)],[c_0_17]) ).
fof(c_0_112,plain,
( epred22_0
=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 ) ) ),
inference(split_equiv,[status(thm)],[c_0_72]) ).
fof(c_0_113,plain,
( ( op2(e20,e20) = e20
| op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e21
| op2(e22,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e22,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22
| op2(e23,e23) = e23 )
& ( op2(e23,op2(e23,e20)) != e20
| epred22_0 )
& ( op2(e23,op2(e23,e21)) != e21
| epred22_0 )
& ( op2(e23,op2(e23,e22)) != e22
| epred22_0 )
& ( op2(e23,op2(e23,e23)) != e23
| epred22_0 )
& ( epred42_0
| op2(e23,e23) = e23 ) ),
inference(distribute,[status(thm)],[c_0_91]) ).
cnf(c_0_114,plain,
op2(e21,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_115,plain,
op2(h4(e11),h1(e11)) != op2(h4(e11),e21),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_76]),c_0_59]),c_0_76]) ).
cnf(c_0_116,plain,
op2(h4(e11),h1(e11)) = e22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_75]),c_0_94]),c_0_75]) ).
cnf(c_0_117,plain,
op2(h4(e11),e21) != op2(h1(e11),e21),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_76]),c_0_59]) ).
cnf(c_0_118,plain,
op2(h4(e11),h1(e11)) != op2(e22,h1(e11)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_76]),c_0_59]),c_0_59]) ).
cnf(c_0_119,plain,
e22 != e23,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_120,plain,
op2(h4(e11),h1(e11)) != h1(e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_76]),c_0_59]),c_0_59]),c_0_59]),c_0_98]) ).
cnf(c_0_121,plain,
op2(h1(e11),e21) != h1(e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_59]),c_0_59]),c_0_98]),c_0_59]) ).
cnf(c_0_122,plain,
op1(e11,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_123,plain,
( op1(e13,e13) = e10
| op1(e13,e13) = e13 ),
inference(sr,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_124,plain,
( op1(e13,e13) = e13
| op1(e11,e13) = e11
| op1(e10,e13) = e10 ),
inference(sr,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_125,plain,
op1(e10,e13) != e10,
inference(rw,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_126,plain,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_127,plain,
( op1(e13,e12) = e10
| op1(e11,e12) != e13 ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_128,plain,
( op1(e11,e12) = e11
| op1(e13,e12) = e13 ),
inference(sr,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_129,plain,
( op1(e11,e12) != e11
| op1(e11,e12) != e13 ),
inference(spm,[status(thm)],[c_0_89,c_0_110]) ).
fof(c_0_130,plain,
( ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_111])]) ).
fof(c_0_131,plain,
( ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_112])]) ).
cnf(c_0_132,plain,
( epred22_0
| op2(e23,op2(e23,e21)) != e21 ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_133,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_134,plain,
op2(h4(e11),e21) != h1(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_76]),c_0_75]) ).
cnf(c_0_135,plain,
op2(h4(e11),e21) != e22,
inference(rw,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_136,plain,
op2(h4(e11),e21) != h4(e11),
inference(rw,[status(thm)],[c_0_117,c_0_94]) ).
cnf(c_0_137,plain,
op2(e20,e20) != op2(e21,e20),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_138,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23 ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_139,plain,
op2(e22,h1(e11)) != e22,
inference(rw,[status(thm)],[c_0_118,c_0_116]) ).
cnf(c_0_140,plain,
h4(e11) != e22,
inference(rw,[status(thm)],[c_0_119,c_0_76]) ).
cnf(c_0_141,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_142,plain,
h1(e10) != e22,
inference(rw,[status(thm)],[c_0_120,c_0_116]) ).
cnf(c_0_143,plain,
h1(e10) != h4(e11),
inference(rw,[status(thm)],[c_0_121,c_0_94]) ).
cnf(c_0_144,plain,
( op1(e13,e13) = e10
| op1(e11,e13) != e13 ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_145,plain,
( op1(e11,e13) = e11
| op1(e13,e13) = e13 ),
inference(sr,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_146,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e10) = e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_21]),c_0_28]) ).
cnf(c_0_147,plain,
op1(e11,e12) != e13,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_28]),c_0_129]) ).
cnf(c_0_148,plain,
( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_149,plain,
( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_150,plain,
( epred22_0
| op2(h4(e11),op2(h4(e11),e21)) != e21 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_76]),c_0_76]) ).
cnf(c_0_151,plain,
op2(h4(e11),e21) = e21,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_76]),c_0_59]),c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_134]),c_0_135]),c_0_136]) ).
cnf(c_0_152,plain,
h4(e10) = op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_153,plain,
op2(e21,e21) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_154,plain,
op2(e20,e20) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_155,plain,
op2(e21,h1(e11)) != h1(e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_59]),c_0_59]),c_0_98]),c_0_59]) ).
cnf(c_0_156,plain,
( op2(e21,h1(e11)) = e21
| h1(e10) = h1(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)],[c_0_138,c_0_59]),c_0_59]),c_0_98]),c_0_59]),c_0_59]),c_0_59]),c_0_76]),c_0_59]),c_0_116]),c_0_76]),c_0_139]),c_0_140]) ).
cnf(c_0_157,plain,
( h1(e10) = h1(e11)
| h1(e10) = e21 ),
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)],[c_0_141,c_0_59]),c_0_59]),c_0_98]),c_0_59]),c_0_59]),c_0_59]),c_0_98]),c_0_59]),c_0_59]),c_0_98]),c_0_59]),c_0_59]),c_0_98]),c_0_76]),c_0_142]),c_0_143]) ).
cnf(c_0_158,plain,
op2(e23,e21) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_159,plain,
op2(e23,e20) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_160,plain,
op1(e10,e11) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_161,plain,
( op1(e11,e13) = e11
| op1(e11,e13) != e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_28]) ).
cnf(c_0_162,plain,
( op1(e11,e10) = e13
| op1(e11,e13) = e13 ),
inference(sr,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_163,plain,
op1(e13,e10) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_164,plain,
( op1(e10,op1(e10,e10)) != e10
| op1(e12,op1(e12,e11)) != e11
| op1(e11,e10) != e11
| ~ epred1_0 ),
inference(rw,[status(thm)],[c_0_148,c_0_21]) ).
cnf(c_0_165,plain,
( epred1_0
| op1(e13,op1(e13,e11)) != e11 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_166,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_167,plain,
e20 != e21,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_168,plain,
e21 != e23,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_169,plain,
( op2(e22,op2(e22,h4(e11))) != h4(e11)
| op2(h1(e11),h1(e10)) != h1(e11)
| op2(e21,h1(e11)) != e21
| ~ epred22_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_149,c_0_59]),c_0_59]),c_0_59]),c_0_98]),c_0_59]),c_0_75]),c_0_76]),c_0_76]) ).
cnf(c_0_170,plain,
epred22_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_151]),c_0_151])]) ).
cnf(c_0_171,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_172,plain,
op2(h4(e11),h4(e11)) = h4(e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_76]),c_0_76]) ).
cnf(c_0_173,plain,
op2(e21,h4(e11)) != h1(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_76]),c_0_75]) ).
cnf(c_0_174,plain,
op2(h1(e11),h4(e11)) != h1(e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_59]),c_0_76]),c_0_59]),c_0_59]),c_0_98]) ).
cnf(c_0_175,plain,
h1(e10) = h1(e11),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]) ).
cnf(c_0_176,plain,
op2(e21,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_177,plain,
op2(h4(e11),e22) != op2(h4(e11),e21),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_76]),c_0_76]) ).
cnf(c_0_178,plain,
op2(h4(e11),h1(e11)) != op2(h4(e11),e22),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_76]),c_0_59]),c_0_76]) ).
cnf(c_0_179,plain,
( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_180,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_181,plain,
op1(e10,e13) != e13,
inference(rw,[status(thm)],[c_0_160,c_0_24]) ).
cnf(c_0_182,plain,
op1(e11,e10) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_183,plain,
op1(e11,e10) = e13,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_45]) ).
cnf(c_0_184,plain,
op1(e11,e11) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_185,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_186,plain,
op1(e13,e10) != e11,
inference(rw,[status(thm)],[c_0_163,c_0_54]) ).
cnf(c_0_187,plain,
( op1(e10,op1(e10,e10)) != e10
| op1(e12,e12) != e11
| op1(e11,e10) != e11
| ~ epred1_0 ),
inference(rw,[status(thm)],[c_0_164,c_0_36]) ).
cnf(c_0_188,plain,
epred1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_54]),c_0_54])]) ).
cnf(c_0_189,plain,
op2(e22,e21) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_190,plain,
( op2(e20,e21) = e20
| op2(e21,e21) = e21
| op2(e22,e21) = e22
| op2(e23,e21) = e23 ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_191,plain,
h4(e11) != h1(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_76]),c_0_59]) ).
cnf(c_0_192,plain,
h1(e11) != e21,
inference(rw,[status(thm)],[c_0_167,c_0_59]) ).
cnf(c_0_193,plain,
h4(e11) != e21,
inference(rw,[status(thm)],[c_0_168,c_0_76]) ).
cnf(c_0_194,plain,
( op2(e22,op2(e22,h4(e11))) != h4(e11)
| op2(h1(e11),h1(e10)) != h1(e11)
| op2(e21,h1(e11)) != e21 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_170])]) ).
cnf(c_0_195,plain,
( op2(h1(e11),h4(e11)) = h1(e11)
| op2(e22,h4(e11)) = h1(e11)
| h4(e10) = h1(e11) ),
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)],[c_0_171,c_0_59]),c_0_76]),c_0_59]),c_0_76]),c_0_59]),c_0_76]),c_0_59]),c_0_76]),c_0_76]),c_0_172]),c_0_59]),c_0_173]) ).
cnf(c_0_196,plain,
op2(h1(e11),h4(e11)) != h1(e11),
inference(rw,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_197,plain,
op2(e21,e20) != op2(e21,e21),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_198,plain,
op2(h4(e11),h1(e11)) != op2(e21,h1(e11)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_76]),c_0_59]),c_0_59]) ).
cnf(c_0_199,plain,
op2(e21,e22) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_200,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_201,plain,
op2(h4(e11),e22) != e21,
inference(rw,[status(thm)],[c_0_177,c_0_151]) ).
cnf(c_0_202,plain,
op2(h4(e11),e22) != e22,
inference(rw,[status(thm)],[c_0_178,c_0_116]) ).
cnf(c_0_203,plain,
( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e10) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_54]),c_0_29]) ).
cnf(c_0_204,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13 ),
inference(sr,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_205,plain,
op1(e11,e13) != e13,
inference(rw,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_206,plain,
op1(e12,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_207,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_208,plain,
op1(e11,e12) != e10,
inference(rw,[status(thm)],[c_0_184,c_0_21]) ).
cnf(c_0_209,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11 ),
inference(sr,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_210,plain,
( op1(e10,op1(e10,e10)) != e10
| op1(e12,e12) != e11
| op1(e11,e10) != e11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_188])]) ).
cnf(c_0_211,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22
| op2(e23,e23) = e23 ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_212,plain,
op2(e22,h4(e11)) != op2(e22,e21),
inference(rw,[status(thm)],[c_0_189,c_0_76]) ).
cnf(c_0_213,plain,
op2(e22,e21) = e22,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_59]),c_0_94]),c_0_59]),c_0_75]),c_0_76]),c_0_151]),c_0_76]),c_0_191]),c_0_192]),c_0_193]) ).
cnf(c_0_214,plain,
( op2(e22,op2(e22,h4(e11))) != h4(e11)
| op2(e21,h1(e11)) != e21 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_175]),c_0_98]),c_0_175])]) ).
cnf(c_0_215,plain,
( op2(e22,h4(e11)) = h1(e11)
| h4(e10) = h1(e11) ),
inference(sr,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_216,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_217,plain,
( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_218,plain,
op2(e21,h1(e11)) != h1(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_59]),c_0_75]) ).
cnf(c_0_219,plain,
op2(e21,h1(e11)) != e22,
inference(rw,[status(thm)],[c_0_198,c_0_116]) ).
cnf(c_0_220,plain,
op2(e23,e22) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_221,plain,
op2(h4(e11),e22) != op2(e21,e22),
inference(rw,[status(thm)],[c_0_199,c_0_76]) ).
cnf(c_0_222,plain,
( op2(h4(e11),e22) = h4(e11)
| op2(h4(e11),e22) = h1(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)],[c_0_200,c_0_76]),c_0_59]),c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_201]),c_0_202]) ).
fof(c_0_223,plain,
( epred43_0
<=> ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_224,plain,
( epred44_0
<=> ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_225,plain,
( epred45_0
<=> ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_226,plain,
( epred46_0
<=> ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 ) ) ),
introduced(definition) ).
cnf(c_0_227,plain,
( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_228,plain,
( op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_34]),c_0_62]) ).
cnf(c_0_229,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13 ),
inference(sr,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_230,plain,
op1(e13,e12) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_231,plain,
( op1(e13,e13) = e10
| op1(e12,e13) != e13 ),
inference(spm,[status(thm)],[c_0_206,c_0_123]) ).
cnf(c_0_232,plain,
( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e10,e12) = e10 ),
inference(sr,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_233,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_234,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_235,plain,
op1(e12,e10) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_236,plain,
( op1(e11,e10) = e11
| op1(e12,e10) = e11 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_105]),c_0_29]) ).
cnf(c_0_237,plain,
( op1(e12,e12) != e11
| op1(e11,e10) != e11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_105]),c_0_105])]) ).
cnf(c_0_238,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_239,plain,
op1(e10,e11) != op1(e10,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_240,plain,
( op2(h1(e11),h4(e11)) = h1(e11)
| op2(e22,h4(e11)) = e22
| op2(e21,h4(e11)) = e21
| h4(e10) = h4(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)],[c_0_211,c_0_59]),c_0_76]),c_0_59]),c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_172]),c_0_76]) ).
cnf(c_0_241,plain,
op2(e22,h4(e11)) != e22,
inference(rw,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_242,plain,
op2(e21,e20) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_243,plain,
( h4(e10) = h1(e11)
| op2(e22,h1(e11)) != h4(e11)
| op2(e21,h1(e11)) != e21 ),
inference(spm,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_244,plain,
( op2(e22,h1(e11)) = h4(e11)
| op2(e21,h1(e11)) = h4(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)],[c_0_216,c_0_59]),c_0_59]),c_0_98]),c_0_76]),c_0_59]),c_0_76]),c_0_59]),c_0_76]),c_0_76]),c_0_59]),c_0_116]),c_0_76]),c_0_143]),c_0_140]) ).
cnf(c_0_245,plain,
( op2(e21,h1(e11)) = h4(e11)
| op2(e21,h1(e11)) = e21 ),
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)],[c_0_217,c_0_59]),c_0_59]),c_0_59]),c_0_59]),c_0_59]),c_0_76]),c_0_218]),c_0_219]) ).
cnf(c_0_246,plain,
op2(h4(e11),e22) != h4(e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_76]),c_0_76]),c_0_172]),c_0_76]) ).
cnf(c_0_247,plain,
( op2(h4(e11),e22) = h1(e11)
| op2(e21,e22) != h4(e11) ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
fof(c_0_248,negated_conjecture,
~ ( ( epred43_0
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( epred44_0
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( epred45_0
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( epred46_0
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[co1]),c_0_223]),c_0_224]),c_0_225]),c_0_226]) ).
cnf(c_0_249,plain,
( op1(e10,op1(e10,e10)) != e10
| op1(e11,op1(e11,e12)) != e12
| op1(e12,op1(e12,e13)) != e13 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_188])]) ).
cnf(c_0_250,plain,
op1(e12,e12) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_251,plain,
( op1(e12,e13) = e13
| op1(e13,e12) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_28]) ).
cnf(c_0_252,plain,
( op1(e13,e12) != e10
| op1(e12,e13) != e13 ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_253,plain,
( op1(e12,e12) = e10
| op1(e13,e12) = e10 ),
inference(sr,[status(thm)],[c_0_232,c_0_109]) ).
cnf(c_0_254,plain,
( op1(e13,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(sr,[status(thm)],[c_0_233,c_0_87]) ).
cnf(c_0_255,plain,
( op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(sr,[status(thm)],[c_0_234,c_0_66]) ).
cnf(c_0_256,plain,
op1(e12,e12) != e11,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237]) ).
cnf(c_0_257,plain,
( op1(e13,e13) = e10
| op1(e13,e12) != e13 ),
inference(spm,[status(thm)],[c_0_230,c_0_123]) ).
cnf(c_0_258,plain,
op1(e11,e11) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_259,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e10) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_24]),c_0_45]) ).
cnf(c_0_260,plain,
( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_261,plain,
op1(e10,e12) != e13,
inference(rw,[status(thm)],[c_0_239,c_0_24]) ).
cnf(c_0_262,plain,
op2(e22,e21) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_263,plain,
h3(e10) = op2(e22,e22),
inference(split_conjunct,[status(thm)],[ax16]) ).
cnf(c_0_264,plain,
op2(e23,e20) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_265,plain,
op2(e20,e21) != op2(e20,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_266,plain,
( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_267,plain,
op2(e20,e21) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_268,plain,
op2(e21,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_269,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_270,plain,
( op2(h1(e11),h4(e11)) = h1(e11)
| op2(e21,h4(e11)) = e21
| h4(e10) = h4(e11) ),
inference(sr,[status(thm)],[c_0_240,c_0_241]) ).
cnf(c_0_271,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_272,plain,
op2(e21,h1(e11)) != op2(e21,e22),
inference(rw,[status(thm)],[c_0_242,c_0_59]) ).
cnf(c_0_273,plain,
( op2(e21,h1(e11)) = h4(e11)
| h4(e10) = h1(e11) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_245]) ).
cnf(c_0_274,plain,
( op2(e21,e22) != h4(e11)
| h4(e10) != h1(e11) ),
inference(spm,[status(thm)],[c_0_246,c_0_247]) ).
cnf(c_0_275,plain,
( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
fof(c_0_276,negated_conjecture,
( ( h1(e10) != e23
| ~ epred43_0 )
& ( h1(e11) != e23
| ~ epred43_0 )
& ( h1(e12) != e23
| ~ epred43_0 )
& ( h1(e13) != e23
| ~ epred43_0 )
& ( h2(e10) != e23
| ~ epred44_0 )
& ( h2(e11) != e23
| ~ epred44_0 )
& ( h2(e12) != e23
| ~ epred44_0 )
& ( h2(e13) != e23
| ~ epred44_0 )
& ( h3(e10) != e23
| ~ epred45_0 )
& ( h3(e11) != e23
| ~ epred45_0 )
& ( h3(e12) != e23
| ~ epred45_0 )
& ( h3(e13) != e23
| ~ epred45_0 )
& ( h4(e10) != e23
| ~ epred46_0 )
& ( h4(e11) != e23
| ~ epred46_0 )
& ( h4(e12) != e23
| ~ epred46_0 )
& ( h4(e13) != e23
| ~ epred46_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_248])]) ).
cnf(c_0_277,plain,
( op1(e11,op1(e11,e12)) != e12
| op1(e12,op1(e12,e13)) != e13 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_105]),c_0_105])]) ).
cnf(c_0_278,plain,
( op1(e12,e13) = e13
| op1(e12,e12) != e10 ),
inference(spm,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_279,plain,
( op1(e12,e12) = e10
| op1(e12,e13) != e13 ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_280,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(sr,[status(thm)],[c_0_254,c_0_85]) ).
cnf(c_0_281,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(sr,[status(thm)],[c_0_255,c_0_256]) ).
cnf(c_0_282,plain,
( op1(e12,e13) = e13
| op1(e13,e12) != e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_229]),c_0_28]) ).
cnf(c_0_283,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_284,plain,
op1(e11,e13) != e10,
inference(rw,[status(thm)],[c_0_258,c_0_21]) ).
cnf(c_0_285,plain,
op1(e10,e13) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_286,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_259,c_0_105]),c_0_29]) ).
cnf(c_0_287,plain,
( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13 ),
inference(sr,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_288,plain,
op2(e22,e21) != h3(e10),
inference(rw,[status(thm)],[c_0_262,c_0_263]) ).
cnf(c_0_289,plain,
op2(e20,e20) != op2(e20,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_290,plain,
op2(h4(e11),h1(e11)) != h4(e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_264,c_0_76]),c_0_76]),c_0_172]),c_0_76]),c_0_59]) ).
cnf(c_0_291,plain,
op2(h1(e11),e22) != op2(h1(e11),e21),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_265,c_0_59]),c_0_59]) ).
cnf(c_0_292,plain,
( op2(e22,op2(e22,h4(e11))) != h4(e11)
| op2(h1(e11),h1(e10)) != h1(e11)
| op2(e21,op2(e21,e22)) != e22
| ~ epred22_0 ),
inference(rw,[status(thm)],[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_266,c_0_59]),c_0_59]),c_0_59]),c_0_98]),c_0_59]),c_0_76]),c_0_76]) ).
cnf(c_0_293,plain,
op2(h1(e11),h4(e11)) != op2(h1(e11),e21),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_267,c_0_59]),c_0_76]),c_0_59]) ).
cnf(c_0_294,plain,
e20 != e22,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_295,plain,
op2(e21,h4(e11)) != h4(e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_268,c_0_76]),c_0_76]),c_0_172]),c_0_76]) ).
cnf(c_0_296,plain,
( op2(e21,h4(e11)) = h4(e11)
| op2(e21,h4(e11)) = e22
| op2(e21,h4(e11)) = e21 ),
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)],[c_0_269,c_0_76]),c_0_59]),c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_173]) ).
cnf(c_0_297,plain,
( op2(e21,h4(e11)) = e21
| h4(e10) = h4(e11) ),
inference(sr,[status(thm)],[c_0_270,c_0_196]) ).
cnf(c_0_298,plain,
( op2(e21,h4(e11)) = h4(e11)
| op2(e21,h1(e11)) = h4(e11)
| op2(e21,e22) = h4(e11) ),
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_271,c_0_59]),c_0_76]),c_0_75]),c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_191]) ).
cnf(c_0_299,plain,
op2(e21,e22) != h4(e11),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_274]) ).
cnf(c_0_300,plain,
( op2(h1(e11),h1(e10)) != h1(e11)
| op2(e22,op2(e22,e21)) != e21
| op2(e21,h1(e11)) != e21
| ~ epred22_0 ),
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_275,c_0_59]),c_0_59]),c_0_59]),c_0_98]),c_0_59]),c_0_75]) ).
fof(c_0_301,plain,
( ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 ) )
=> epred44_0 ),
inference(split_equiv,[status(thm)],[c_0_224]) ).
cnf(c_0_302,negated_conjecture,
( h2(e13) != e23
| ~ epred44_0 ),
inference(split_conjunct,[status(thm)],[c_0_276]) ).
cnf(c_0_303,plain,
h2(e13) = op2(op2(e21,e21),e21),
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_304,plain,
( op1(e11,op1(e11,e12)) != e12
| op1(e12,e13) != e13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_279]) ).
cnf(c_0_305,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_46]) ).
cnf(c_0_306,plain,
( op1(e11,e12) = e11
| op1(e12,e13) = e13 ),
inference(spm,[status(thm)],[c_0_282,c_0_128]) ).
cnf(c_0_307,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_308,plain,
( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e10,e13) = e10 ),
inference(sr,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_309,plain,
op1(e10,e12) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_310,plain,
( op1(e10,e12) = e11
| op1(e11,e13) != e11 ),
inference(spm,[status(thm)],[c_0_285,c_0_286]) ).
cnf(c_0_311,plain,
( op1(e11,e13) = e11
| op1(e13,e12) != e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_145]),c_0_28]) ).
cnf(c_0_312,plain,
( op1(e12,e12) = e13
| op1(e13,e12) = e13 ),
inference(sr,[status(thm)],[c_0_287,c_0_147]) ).
cnf(c_0_313,plain,
op2(e22,e22) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_314,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e22,e22) = e22
| op2(e23,e22) = e23 ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_315,plain,
h3(e10) != e22,
inference(rw,[status(thm)],[c_0_288,c_0_213]) ).
cnf(c_0_316,plain,
op2(h1(e11),e22) != h1(e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_289,c_0_59]),c_0_59]),c_0_98]),c_0_59]) ).
cnf(c_0_317,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_318,plain,
h4(e10) != e22,
inference(rw,[status(thm)],[c_0_290,c_0_116]) ).
cnf(c_0_319,plain,
( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_320,plain,
op2(h1(e11),e22) != h4(e11),
inference(rw,[status(thm)],[c_0_291,c_0_94]) ).
cnf(c_0_321,plain,
( op2(e22,op2(e22,h4(e11))) != h4(e11)
| op2(h1(e11),h1(e10)) != h1(e11)
| op2(e21,op2(e21,e22)) != e22 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_292,c_0_170])]) ).
cnf(c_0_322,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_323,plain,
op2(h1(e11),h4(e11)) != h4(e11),
inference(rw,[status(thm)],[c_0_293,c_0_94]) ).
cnf(c_0_324,plain,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_325,plain,
h1(e11) != e22,
inference(rw,[status(thm)],[c_0_294,c_0_59]) ).
cnf(c_0_326,plain,
op2(e21,e20) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_327,plain,
( op2(e21,h4(e11)) = e22
| op2(e21,h4(e11)) = e21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_297]) ).
cnf(c_0_328,plain,
( op2(e21,h4(e11)) = h4(e11)
| op2(e21,h1(e11)) = h4(e11) ),
inference(sr,[status(thm)],[c_0_298,c_0_299]) ).
cnf(c_0_329,plain,
h3(e13) = op2(op2(e22,e22),e22),
inference(split_conjunct,[status(thm)],[ax16]) ).
cnf(c_0_330,plain,
( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_331,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_332,plain,
e21 != e22,
inference(split_conjunct,[status(thm)],[ax8]) ).
cnf(c_0_333,plain,
( op2(h1(e11),h1(e10)) != h1(e11)
| op2(e22,op2(e22,e21)) != e21
| op2(e21,h1(e11)) != e21 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_300,c_0_170])]) ).
cnf(c_0_334,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
fof(c_0_335,plain,
( ( h2(e10) != e22
| h2(e10) != e21
| h2(e10) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e11) != e22
| h2(e10) != e21
| h2(e10) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e12) != e22
| h2(e10) != e21
| h2(e10) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e13) != e22
| h2(e10) != e21
| h2(e10) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e10) != e22
| h2(e11) != e21
| h2(e10) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e11) != e22
| h2(e11) != e21
| h2(e10) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e12) != e22
| h2(e11) != e21
| h2(e10) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e13) != e22
| h2(e11) != e21
| h2(e10) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e10) != e22
| h2(e12) != e21
| h2(e10) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e11) != e22
| h2(e12) != e21
| h2(e10) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e12) != e22
| h2(e12) != e21
| h2(e10) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e13) != e22
| h2(e12) != e21
| h2(e10) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e10) != e22
| h2(e13) != e21
| h2(e10) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e11) != e22
| h2(e13) != e21
| h2(e10) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e12) != e22
| h2(e13) != e21
| h2(e10) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e13) != e22
| h2(e13) != e21
| h2(e10) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e10) != e22
| h2(e10) != e21
| h2(e11) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e11) != e22
| h2(e10) != e21
| h2(e11) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e12) != e22
| h2(e10) != e21
| h2(e11) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e13) != e22
| h2(e10) != e21
| h2(e11) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e10) != e22
| h2(e11) != e21
| h2(e11) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e11) != e22
| h2(e11) != e21
| h2(e11) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e12) != e22
| h2(e11) != e21
| h2(e11) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e13) != e22
| h2(e11) != e21
| h2(e11) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e10) != e22
| h2(e12) != e21
| h2(e11) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e11) != e22
| h2(e12) != e21
| h2(e11) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e12) != e22
| h2(e12) != e21
| h2(e11) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e13) != e22
| h2(e12) != e21
| h2(e11) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e10) != e22
| h2(e13) != e21
| h2(e11) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e11) != e22
| h2(e13) != e21
| h2(e11) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e12) != e22
| h2(e13) != e21
| h2(e11) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e13) != e22
| h2(e13) != e21
| h2(e11) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e10) != e22
| h2(e10) != e21
| h2(e12) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e11) != e22
| h2(e10) != e21
| h2(e12) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e12) != e22
| h2(e10) != e21
| h2(e12) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e13) != e22
| h2(e10) != e21
| h2(e12) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e10) != e22
| h2(e11) != e21
| h2(e12) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e11) != e22
| h2(e11) != e21
| h2(e12) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e12) != e22
| h2(e11) != e21
| h2(e12) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e13) != e22
| h2(e11) != e21
| h2(e12) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e10) != e22
| h2(e12) != e21
| h2(e12) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e11) != e22
| h2(e12) != e21
| h2(e12) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e12) != e22
| h2(e12) != e21
| h2(e12) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e13) != e22
| h2(e12) != e21
| h2(e12) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e10) != e22
| h2(e13) != e21
| h2(e12) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e11) != e22
| h2(e13) != e21
| h2(e12) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e12) != e22
| h2(e13) != e21
| h2(e12) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e13) != e22
| h2(e13) != e21
| h2(e12) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e10) != e22
| h2(e10) != e21
| h2(e13) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e11) != e22
| h2(e10) != e21
| h2(e13) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e12) != e22
| h2(e10) != e21
| h2(e13) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e13) != e22
| h2(e10) != e21
| h2(e13) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e10) != e22
| h2(e11) != e21
| h2(e13) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e11) != e22
| h2(e11) != e21
| h2(e13) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e12) != e22
| h2(e11) != e21
| h2(e13) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e13) != e22
| h2(e11) != e21
| h2(e13) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e10) != e22
| h2(e12) != e21
| h2(e13) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e11) != e22
| h2(e12) != e21
| h2(e13) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e12) != e22
| h2(e12) != e21
| h2(e13) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e13) != e22
| h2(e12) != e21
| h2(e13) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e10) != e22
| h2(e13) != e21
| h2(e13) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e11) != e22
| h2(e13) != e21
| h2(e13) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e12) != e22
| h2(e13) != e21
| h2(e13) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 )
& ( h2(e13) != e22
| h2(e13) != e21
| h2(e13) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| epred44_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_301])]) ).
cnf(c_0_336,plain,
h2(e10) = op2(e21,e21),
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_337,plain,
h2(e12) = op2(op2(op2(e21,e21),e21),op2(e21,e21)),
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_338,negated_conjecture,
( h2(e13) != h4(e11)
| ~ epred44_0 ),
inference(rw,[status(thm)],[c_0_302,c_0_76]) ).
cnf(c_0_339,plain,
h2(e13) = h4(e11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_303,c_0_75]),c_0_94]) ).
cnf(c_0_340,plain,
op1(e11,e12) = e11,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_306]),c_0_305]) ).
cnf(c_0_341,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e10) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_307,c_0_21]),c_0_62]) ).
cnf(c_0_342,plain,
( op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(sr,[status(thm)],[c_0_308,c_0_125]) ).
cnf(c_0_343,plain,
op1(e11,e12) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_344,plain,
( op1(e11,e12) != e11
| op1(e11,e13) != e11 ),
inference(spm,[status(thm)],[c_0_309,c_0_310]) ).
cnf(c_0_345,plain,
( op1(e12,e12) = e13
| op1(e11,e13) = e11 ),
inference(spm,[status(thm)],[c_0_311,c_0_312]) ).
cnf(c_0_346,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_347,plain,
op2(h4(e11),e22) != h3(e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_76]),c_0_263]) ).
cnf(c_0_348,plain,
( op2(h4(e11),e22) = h4(e11)
| op2(h1(e11),e22) = h1(e11)
| op2(e21,e22) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_314,c_0_59]),c_0_59]),c_0_263]),c_0_76]),c_0_76]),c_0_315]) ).
cnf(c_0_349,plain,
op2(h1(e11),e22) != h1(e11),
inference(rw,[status(thm)],[c_0_316,c_0_175]) ).
cnf(c_0_350,plain,
op2(e20,e22) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_351,plain,
( op2(h1(e11),h4(e11)) = e22
| op2(e22,h4(e11)) = e22
| op2(e21,h4(e11)) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_317,c_0_59]),c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_172]),c_0_318]) ).
cnf(c_0_352,plain,
op2(e22,e20) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_353,plain,
( op2(h4(e11),e22) = h4(e11)
| op2(e21,e22) = h4(e11)
| h3(e10) = h4(e11) ),
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_319,c_0_59]),c_0_76]),c_0_76]),c_0_263]),c_0_76]),c_0_76]),c_0_76]),c_0_320]) ).
cnf(c_0_354,plain,
( op2(e22,op2(e22,h4(e11))) != h4(e11)
| op2(e21,op2(e21,e22)) != e22 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_321,c_0_175]),c_0_98]),c_0_175])]) ).
cnf(c_0_355,plain,
( op2(e22,h4(e11)) = h4(e11)
| op2(e21,h4(e11)) = h4(e11)
| h4(e10) = h4(e11) ),
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)],[c_0_322,c_0_59]),c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_172]),c_0_76]),c_0_323]) ).
cnf(c_0_356,plain,
( op2(e21,h4(e11)) = e22
| op2(e21,e22) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_324,c_0_59]),c_0_75]),c_0_76]),c_0_219]),c_0_325]) ).
cnf(c_0_357,plain,
op2(e21,h4(e11)) != op2(e21,h1(e11)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_326,c_0_76]),c_0_59]) ).
cnf(c_0_358,plain,
op2(e21,h1(e11)) = h4(e11),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_328]),c_0_140]),c_0_193]) ).
cnf(c_0_359,plain,
op2(h3(e10),e22) = h3(e13),
inference(rw,[status(thm)],[c_0_329,c_0_263]) ).
cnf(c_0_360,plain,
( h3(e10) = h4(e11)
| h3(e10) = h1(e11)
| h3(e10) = e21 ),
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)],[c_0_330,c_0_263]),c_0_59]),c_0_263]),c_0_263]),c_0_263]),c_0_76]),c_0_315]) ).
cnf(c_0_361,plain,
( op2(e22,h1(e11)) = e21
| op2(e21,h1(e11)) = e21
| h1(e10) = e21 ),
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)],[c_0_331,c_0_59]),c_0_59]),c_0_98]),c_0_59]),c_0_59]),c_0_76]),c_0_59]),c_0_116]),c_0_332]) ).
cnf(c_0_362,plain,
( op2(h1(e11),h1(e10)) != h1(e11)
| op2(e21,h1(e11)) != e21
| h3(e10) != e21 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_333,c_0_213]),c_0_263]) ).
cnf(c_0_363,plain,
( op2(h1(e11),h4(e11)) = h1(e11)
| op2(h1(e11),h4(e11)) = e22
| op2(h1(e11),h4(e11)) = e21 ),
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)],[c_0_334,c_0_59]),c_0_76]),c_0_59]),c_0_59]),c_0_76]),c_0_59]),c_0_76]),c_0_59]),c_0_76]),c_0_76]),c_0_323]) ).
cnf(c_0_364,plain,
( epred44_0
| h2(e12) != e22
| h2(e11) != e21
| h2(e10) != e20
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13)) ),
inference(split_conjunct,[status(thm)],[c_0_335]) ).
cnf(c_0_365,plain,
h2(e10) = h1(e11),
inference(rw,[status(thm)],[c_0_336,c_0_75]) ).
cnf(c_0_366,plain,
h2(e11) = e21,
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_367,plain,
h2(e12) = e22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_337,c_0_75]),c_0_94]),c_0_75]),c_0_116]) ).
cnf(c_0_368,negated_conjecture,
~ epred44_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_338,c_0_339])]) ).
cnf(c_0_369,plain,
op1(e10,e12) != e11,
inference(rw,[status(thm)],[c_0_309,c_0_340]) ).
cnf(c_0_370,plain,
( op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(sr,[status(thm)],[c_0_341,c_0_71]) ).
cnf(c_0_371,plain,
( op1(e11,e13) = e11
| op1(e12,e13) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_145]),c_0_28]) ).
cnf(c_0_372,plain,
op1(e11,e13) != e11,
inference(rw,[status(thm)],[c_0_343,c_0_340]) ).
cnf(c_0_373,plain,
( op1(e11,e13) = e11
| op1(e13,e12) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_145]),c_0_28]) ).
cnf(c_0_374,plain,
( op1(e12,e12) = e13
| op1(e11,e12) != e11 ),
inference(spm,[status(thm)],[c_0_344,c_0_345]) ).
cnf(c_0_375,plain,
( op2(h4(e11),e22) = h4(e11)
| h4(e10) = h4(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)],[c_0_346,c_0_76]),c_0_59]),c_0_116]),c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_172]),c_0_76]),c_0_140]),c_0_136]) ).
cnf(c_0_376,plain,
( op2(h4(e11),e22) = h1(e11)
| h3(e10) != h4(e11) ),
inference(spm,[status(thm)],[c_0_347,c_0_222]) ).
cnf(c_0_377,plain,
( op2(h4(e11),e22) = h4(e11)
| op2(e21,e22) = e21 ),
inference(sr,[status(thm)],[c_0_348,c_0_349]) ).
cnf(c_0_378,plain,
op2(h1(e11),h4(e11)) != op2(h1(e11),e22),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_350,c_0_59]),c_0_76]),c_0_59]) ).
cnf(c_0_379,plain,
( op2(h1(e11),h4(e11)) = e22
| op2(e21,h4(e11)) = e22 ),
inference(sr,[status(thm)],[c_0_351,c_0_241]) ).
cnf(c_0_380,plain,
op2(e22,h1(e11)) != h3(e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_352,c_0_59]),c_0_263]) ).
cnf(c_0_381,plain,
( op2(h4(e11),e22) = h1(e11)
| h4(e10) != h4(e11) ),
inference(spm,[status(thm)],[c_0_246,c_0_222]) ).
cnf(c_0_382,plain,
( op2(h4(e11),e22) = h4(e11)
| h3(e10) = h4(e11) ),
inference(sr,[status(thm)],[c_0_353,c_0_299]) ).
cnf(c_0_383,plain,
( op2(e21,h4(e11)) = h4(e11)
| h4(e10) = h4(e11)
| op2(e21,op2(e21,e22)) != e22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_355]),c_0_355]) ).
cnf(c_0_384,plain,
( op2(e21,e22) = e22
| h4(e10) = h4(e11) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_356]),c_0_332]) ).
cnf(c_0_385,plain,
op2(e21,h4(e11)) != h4(e11),
inference(rw,[status(thm)],[c_0_357,c_0_358]) ).
cnf(c_0_386,plain,
( op2(h4(e11),e22) = h3(e13)
| h3(e10) = h1(e11)
| h3(e10) = e21 ),
inference(spm,[status(thm)],[c_0_359,c_0_360]) ).
cnf(c_0_387,plain,
( op2(e21,h1(e11)) = e21
| op2(e22,h1(e11)) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_361,c_0_175]),c_0_192]) ).
cnf(c_0_388,plain,
( op2(e21,h1(e11)) != e21
| h3(e10) != e21 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_362,c_0_175]),c_0_98]),c_0_175])]) ).
cnf(c_0_389,plain,
op2(e23,e21) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_390,plain,
op2(e20,e23) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_391,plain,
( op2(h1(e11),h4(e11)) = e21
| op2(h1(e11),h4(e11)) = e22 ),
inference(sr,[status(thm)],[c_0_363,c_0_196]) ).
cnf(c_0_392,plain,
( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_393,plain,
( op2(h1(e11),h4(e11)) != h2(op1(e10,e13))
| op2(h1(e11),e22) != h2(op1(e10,e12))
| op2(e21,h1(e11)) != h2(op1(e11,e10))
| op2(e21,h4(e11)) != h2(op1(e11,e13))
| op2(e22,h1(e11)) != h2(op1(e12,e10))
| op2(e22,h4(e11)) != h2(op1(e12,e13))
| op2(h4(e11),e22) != h2(op1(e13,e12))
| op2(e21,e22) != h2(op1(e11,e12))
| h2(op1(e10,e10)) != h1(e10)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e13,e13)) != h4(e10) ),
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)],[c_0_364,c_0_365]),c_0_59]),c_0_366]),c_0_367]),c_0_365]),c_0_365]),c_0_98]),c_0_365]),c_0_366]),c_0_94]),c_0_24]),c_0_339]),c_0_365]),c_0_367]),c_0_365]),c_0_339]),c_0_366]),c_0_365]),c_0_366]),c_0_366]),c_0_75]),c_0_21]),c_0_365]),c_0_366]),c_0_367]),c_0_366]),c_0_339]),c_0_367]),c_0_365]),c_0_367]),c_0_366]),c_0_213]),c_0_36]),c_0_367]),c_0_367]),c_0_367]),c_0_263]),c_0_367]),c_0_339]),c_0_339]),c_0_365]),c_0_116]),c_0_34]),c_0_367]),c_0_339]),c_0_366]),c_0_151]),c_0_54]),c_0_366]),c_0_339]),c_0_367]),c_0_339]),c_0_339]),c_0_172])]),c_0_368]) ).
cnf(c_0_394,plain,
op1(e10,e13) = e11,
inference(sr,[status(thm)],[c_0_286,c_0_369]) ).
cnf(c_0_395,plain,
op1(e10,e12) = e12,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_280,c_0_340]),c_0_46]) ).
cnf(c_0_396,plain,
op1(e11,e13) = e12,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_370,c_0_340]),c_0_46]) ).
cnf(c_0_397,plain,
op1(e12,e10) = e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_183]),c_0_45]) ).
cnf(c_0_398,plain,
op1(e12,e13) = e10,
inference(sr,[status(thm)],[c_0_371,c_0_372]) ).
cnf(c_0_399,plain,
op1(e13,e12) = e10,
inference(sr,[status(thm)],[c_0_373,c_0_372]) ).
cnf(c_0_400,plain,
op1(e12,e12) = e13,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_374,c_0_340])]) ).
cnf(c_0_401,plain,
op1(e13,e13) = e13,
inference(sr,[status(thm)],[c_0_145,c_0_372]) ).
cnf(c_0_402,plain,
( h4(e10) = h4(e11)
| h3(e10) != h4(e11) ),
inference(spm,[status(thm)],[c_0_347,c_0_375]) ).
cnf(c_0_403,plain,
( op2(e21,e22) = e21
| h3(e10) != h4(e11) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_377]),c_0_191]) ).
cnf(c_0_404,plain,
( op2(e21,h4(e11)) = e22
| op2(h1(e11),e22) != e22 ),
inference(spm,[status(thm)],[c_0_378,c_0_379]) ).
cnf(c_0_405,plain,
( op2(e21,h1(e11)) = h4(e11)
| h3(e10) != h4(e11) ),
inference(spm,[status(thm)],[c_0_380,c_0_244]) ).
cnf(c_0_406,plain,
( h3(e10) = h4(e11)
| h4(e10) != h4(e11) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_382]),c_0_191]) ).
cnf(c_0_407,plain,
h4(e10) = h4(e11),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_384]),c_0_385]),c_0_384]) ).
cnf(c_0_408,plain,
( h3(e10) = h1(e11)
| h3(e13) = h1(e11)
| h3(e10) = e21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_386]),c_0_360]) ).
cnf(c_0_409,plain,
h3(e10) != e21,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_387]),c_0_388]) ).
cnf(c_0_410,plain,
( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_411,plain,
op2(h4(e11),e21) != h4(e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_389,c_0_76]),c_0_76]),c_0_172]),c_0_76]) ).
cnf(c_0_412,plain,
op2(e22,e20) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_413,plain,
op2(h1(e11),h4(e11)) != op2(e21,h4(e11)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_390,c_0_59]),c_0_76]),c_0_76]) ).
cnf(c_0_414,plain,
( op2(h1(e11),h4(e11)) = e21
| op2(h1(e11),e22) != e22 ),
inference(spm,[status(thm)],[c_0_378,c_0_391]) ).
cnf(c_0_415,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_416,plain,
( op2(h4(e11),e22) = h1(e11)
| h4(e10) = h1(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)],[c_0_392,c_0_76]),c_0_59]),c_0_116]),c_0_59]),c_0_76]),c_0_59]),c_0_76]),c_0_59]),c_0_76]),c_0_76]),c_0_172]),c_0_59]),c_0_325]),c_0_134]) ).
cnf(c_0_417,plain,
( op2(h1(e11),h4(e11)) != e21
| op2(e22,h4(e11)) != h1(e11)
| op2(h1(e11),e22) != e22
| op2(e22,h1(e11)) != e21
| h3(e10) != h4(e11) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_393,c_0_394]),c_0_366]),c_0_395]),c_0_367]),c_0_183]),c_0_339]),c_0_396]),c_0_367]),c_0_397]),c_0_366]),c_0_398]),c_0_365]),c_0_399]),c_0_365]),c_0_340]),c_0_366]),c_0_105]),c_0_365]),c_0_175]),c_0_400]),c_0_339]),c_0_401]),c_0_339])]),c_0_402]),c_0_403]),c_0_404]),c_0_376]),c_0_405]) ).
cnf(c_0_418,plain,
op2(e22,h1(e11)) = e21,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_387,c_0_358]),c_0_193]) ).
cnf(c_0_419,plain,
h3(e10) = h4(e11),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_406,c_0_407])]) ).
cnf(c_0_420,plain,
h3(e12) = op2(op2(op2(e22,e22),e22),op2(e22,e22)),
inference(split_conjunct,[status(thm)],[ax16]) ).
cnf(c_0_421,plain,
( h3(e13) = h1(e11)
| h3(e10) = h1(e11) ),
inference(sr,[status(thm)],[c_0_408,c_0_409]) ).
cnf(c_0_422,plain,
( op2(h1(e11),h4(e11)) = e21
| op2(e22,h4(e11)) = e21
| op2(e21,h4(e11)) = e21
| h4(e10) = e21 ),
inference(rw,[status(thm)],[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_410,c_0_59]),c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_172]) ).
cnf(c_0_423,plain,
h4(e10) != e21,
inference(rw,[status(thm)],[c_0_411,c_0_151]) ).
cnf(c_0_424,plain,
op2(e22,h4(e11)) != op2(e22,h1(e11)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_412,c_0_76]),c_0_59]) ).
cnf(c_0_425,plain,
( op2(e21,h4(e11)) != e21
| op2(h1(e11),e22) != e22 ),
inference(spm,[status(thm)],[c_0_413,c_0_414]) ).
cnf(c_0_426,plain,
( op2(h1(e11),e22) = e22
| op2(e21,e22) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_415,c_0_59]),c_0_263]),c_0_76]),c_0_315]),c_0_202]) ).
cnf(c_0_427,plain,
( op2(e21,e22) = e21
| h4(e10) = h1(e11) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_377]),c_0_191]) ).
cnf(c_0_428,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_429,plain,
( op2(e22,h4(e11)) != h1(e11)
| op2(h1(e11),e22) != e22 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_417,c_0_418])]),c_0_419])]),c_0_414]) ).
cnf(c_0_430,plain,
op2(e22,h4(e11)) = h1(e11),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_407]),c_0_191]) ).
cnf(c_0_431,plain,
op2(h3(e13),h3(e10)) = h3(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_420,c_0_263]),c_0_359]),c_0_263]) ).
cnf(c_0_432,plain,
h3(e13) = h1(e11),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_421,c_0_419]),c_0_191]) ).
cnf(c_0_433,plain,
( op2(h1(e11),h4(e11)) = e21
| op2(e21,h4(e11)) = e21
| op2(e22,h4(e11)) = e21 ),
inference(sr,[status(thm)],[c_0_422,c_0_423]) ).
cnf(c_0_434,plain,
op2(e22,h4(e11)) != e21,
inference(rw,[status(thm)],[c_0_424,c_0_418]) ).
cnf(c_0_435,plain,
( op2(e21,e22) = e22
| op2(e21,h4(e11)) != e21 ),
inference(spm,[status(thm)],[c_0_425,c_0_426]) ).
cnf(c_0_436,plain,
op2(e21,e22) = e21,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_427,c_0_407]),c_0_191]) ).
cnf(c_0_437,plain,
( op2(h1(e11),h4(e11)) = e22
| op2(h1(e11),e22) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_428,c_0_59]),c_0_59]),c_0_98]),c_0_59]),c_0_94]),c_0_59]),c_0_59]),c_0_76]),c_0_142]),c_0_140]) ).
cnf(c_0_438,plain,
op2(h1(e11),e22) != e22,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_429,c_0_430])]) ).
cnf(c_0_439,plain,
op2(h1(e11),h4(e11)) = h3(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_431,c_0_419]),c_0_432]) ).
cnf(c_0_440,plain,
( op2(h1(e11),h4(e11)) = e21
| op2(e21,h4(e11)) = e21 ),
inference(sr,[status(thm)],[c_0_433,c_0_434]) ).
cnf(c_0_441,plain,
op2(e21,h4(e11)) != e21,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_435,c_0_436]),c_0_332]) ).
cnf(c_0_442,plain,
h3(e12) = e22,
inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_437,c_0_438]),c_0_439]) ).
cnf(c_0_443,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_440,c_0_441]),c_0_439]),c_0_442]),c_0_332]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG118+1 : TPTP v9.2.1. Released v2.7.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n006.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 10:22:01 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 2.25/2.09 % Version : CSE_E---1.7
% 2.25/2.09 % Problem : theBenchmark.p
% 2.25/2.09 % SZS status Theorem for theBenchmark.p
% 2.25/2.09 % SZS output start CNFRefutation
% See solution above
% 2.25/2.10 % Total time : 1.538s
%------------------------------------------------------------------------------