%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ALG186+1 : TPTP v9.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n031.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 : Thu Jul 24 09:45:55 AM UTC 2025
% Result : Theorem 218.63s 27.76s
% Output : CNFRefutation 218.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 347 ( 191 unt; 0 def)
% Number of atoms : 1586 (1285 equ)
% Maximal formula atoms : 425 ( 4 avg)
% Number of connectives : 1660 ( 421 ~; 966 |; 273 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 105 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 77 ( 75 usr; 76 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,plain,
( ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 )
& ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& op(op(e0,e0),op(e0,e0)) = e0
& op(op(e1,e0),op(e0,e1)) = e0
& op(op(e2,e0),op(e0,e2)) = e0
& op(op(e3,e0),op(e0,e3)) = e0
& op(op(e4,e0),op(e0,e4)) = e0
& op(op(e0,e1),op(e1,e0)) = e1
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e2,e1),op(e1,e2)) = e1
& op(op(e3,e1),op(e1,e3)) = e1
& op(op(e4,e1),op(e1,e4)) = e1
& op(op(e0,e2),op(e2,e0)) = e2
& op(op(e1,e2),op(e2,e1)) = e2
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e3,e2),op(e2,e3)) = e2
& op(op(e4,e2),op(e2,e4)) = e2
& op(op(e0,e3),op(e3,e0)) = e3
& op(op(e1,e3),op(e3,e1)) = e3
& op(op(e2,e3),op(e3,e2)) = e3
& op(op(e3,e3),op(e3,e3)) = e3
& op(op(e4,e3),op(e3,e4)) = e3
& op(op(e0,e4),op(e4,e0)) = e4
& op(op(e1,e4),op(e4,e1)) = e4
& op(op(e2,e4),op(e4,e2)) = e4
& op(op(e3,e4),op(e4,e3)) = e4
& op(op(e4,e4),op(e4,e4)) = e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(co1_negated,plain,
~ ( ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 )
& ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& op(op(e0,e0),op(e0,e0)) = e0
& op(op(e1,e0),op(e0,e1)) = e0
& op(op(e2,e0),op(e0,e2)) = e0
& op(op(e3,e0),op(e0,e3)) = e0
& op(op(e4,e0),op(e0,e4)) = e0
& op(op(e0,e1),op(e1,e0)) = e1
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e2,e1),op(e1,e2)) = e1
& op(op(e3,e1),op(e1,e3)) = e1
& op(op(e4,e1),op(e1,e4)) = e1
& op(op(e0,e2),op(e2,e0)) = e2
& op(op(e1,e2),op(e2,e1)) = e2
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e3,e2),op(e2,e3)) = e2
& op(op(e4,e2),op(e2,e4)) = e2
& op(op(e0,e3),op(e3,e0)) = e3
& op(op(e1,e3),op(e3,e1)) = e3
& op(op(e2,e3),op(e3,e2)) = e3
& op(op(e3,e3),op(e3,e3)) = e3
& op(op(e4,e3),op(e3,e4)) = e3
& op(op(e0,e4),op(e4,e0)) = e4
& op(op(e1,e4),op(e4,e1)) = e4
& op(op(e2,e4),op(e4,e2)) = e4
& op(op(e3,e4),op(e4,e3)) = e4
& op(op(e4,e4),op(e4,e4)) = e4 ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(35,plain,
( op(op(e1,e1),op(e1,e1)) != e1
| op(op(e1,e0),op(e0,e1)) != e0
| op(op(e1,e2),op(e2,e1)) != e2
| op(op(e1,e3),op(e3,e1)) != e3
| op(op(e1,e4),op(e4,e1)) != e4
| op(op(e0,e1),op(e1,e0)) != e1
| op(op(e0,e0),op(e0,e0)) != e0
| op(op(e0,e2),op(e2,e0)) != e2
| op(op(e0,e3),op(e3,e0)) != e3
| op(op(e0,e4),op(e4,e0)) != e4
| op(op(e2,e1),op(e1,e2)) != e1
| op(op(e2,e0),op(e0,e2)) != e0
| op(op(e2,e2),op(e2,e2)) != e2
| op(op(e2,e3),op(e3,e2)) != e3
| op(op(e2,e4),op(e4,e2)) != e4
| op(op(e3,e1),op(e1,e3)) != e1
| op(op(e3,e0),op(e0,e3)) != e0
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e3,e3),op(e3,e3)) != e3
| op(op(e3,e4),op(e4,e3)) != e4
| op(op(e4,e1),op(e1,e4)) != e1
| op(op(e4,e0),op(e0,e4)) != e0
| op(op(e4,e2),op(e2,e4)) != e2
| op(op(e4,e3),op(e3,e4)) != e3
| op(op(e4,e4),op(e4,e4)) != e4
| op(e1,e0) = e1
| op(e0,e0) = e0
| op(e2,e0) = e2
| op(e3,e0) = e3
| op(e4,e0) = e4
| sP30
| sP9
| sP0
| sP1
| sP2
| sP3
| sP4
| sP6
| sP5
| sP7
| sP8
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP22
| sP31
| sP32
| sP21
| sP23
| sP25
| sP27
| sP28
| sP24
| sP29
| sP26
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| sP40
| sP41
| sP42
| sP43
| sP44
| sP45
| sP46
| sP47
| sP49
| sP48
| sP50
| sP51
| sP52
| sP53
| sP54
| sP55
| sP56
| sP57
| sP58
| sP59
| sP60
| sP61
| sP62
| sP63
| sP64
| sP65
| sP66
| sP67
| sP68
| sP69
| sP70
| sP71
| sP72
| sP73
| sP74 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l0,plain,
( op(op(e1,e1),op(e1,e1)) != e1
| op(op(e1,e0),op(e0,e1)) != e0
| op(op(e1,e2),op(e2,e1)) != e2
| op(op(e1,e3),op(e3,e1)) != e3
| op(op(e1,e4),op(e4,e1)) != e4
| op(op(e0,e1),op(e1,e0)) != e1
| op(op(e0,e0),op(e0,e0)) != e0
| op(op(e0,e2),op(e2,e0)) != e2
| op(op(e0,e3),op(e3,e0)) != e3
| op(op(e0,e4),op(e4,e0)) != e4
| op(op(e2,e1),op(e1,e2)) != e1
| op(op(e2,e0),op(e0,e2)) != e0
| op(op(e2,e2),op(e2,e2)) != e2
| op(op(e2,e3),op(e3,e2)) != e3
| op(op(e2,e4),op(e4,e2)) != e4
| op(op(e3,e1),op(e1,e3)) != e1
| op(op(e3,e0),op(e0,e3)) != e0
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e3,e3),op(e3,e3)) != e3
| op(op(e3,e4),op(e4,e3)) != e4
| op(op(e4,e1),op(e1,e4)) != e1
| op(op(e4,e0),op(e0,e4)) != e0
| op(op(e4,e2),op(e2,e4)) != e2
| op(op(e4,e3),op(e3,e4)) != e3
| op(op(e4,e4),op(e4,e4)) != e4
| op(e1,e0) = e1
| op(e0,e0) = e0
| op(e2,e0) = e2
| op(e3,e0) = e3
| op(e4,e0) = e4
| sP30
| sP9
| sP0
| sP1
| sP2
| sP3
| sP4
| sP6
| sP5
| sP7
| sP8
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP22
| sP31
| sP32
| sP21
| sP23
| sP25
| sP27
| sP28
| sP24
| sP29
| sP26
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| sP40
| sP41
| sP42
| sP43
| sP44
| sP45
| sP46
| sP47
| sP49
| sP48
| sP50
| sP51
| sP52
| sP53
| sP54
| sP55
| sP56
| sP57
| sP58
| sP59
| sP60
| sP61
| sP62
| sP63
| sP64
| sP65
| sP66
| sP67
| sP68
| sP69
| sP70
| sP71
| sP72
| sP73
| sP74 ),
inference(instantiation,[status(thm)],[35]) ).
cnf(162,plain,
( op(e2,e2) != e2
| ~ sP50 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l151,plain,
( op(e2,e2) != e2
| ~ sP50 ),
inference(instantiation,[status(thm)],[162]) ).
cnf(221,plain,
( op(e3,e1) != e1
| ~ sP38 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l132,plain,
( op(e3,e1) != e1
| ~ sP38 ),
inference(instantiation,[status(thm)],[221]) ).
cnf(151,plain,
( op(e3,e2) != e3
| ~ sP52 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l270,plain,
( op(e3,e2) != e3
| ~ sP52 ),
inference(instantiation,[status(thm)],[151]) ).
cnf(239,plain,
( op(e1,e0) != e0
| ~ sP35 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l264,plain,
( op(e1,e0) != e0
| ~ sP35 ),
inference(instantiation,[status(thm)],[239]) ).
cnf(241,plain,
( op(e3,e0) != e4
| ~ sP34 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l351,plain,
( op(e3,e0) != e4
| ~ sP34 ),
inference(instantiation,[status(thm)],[241]) ).
fof(ax2,plain,
( op(e0,e0) = e3
& op(e0,e1) = e2
& op(e0,e2) = e0
& op(e0,e3) = e1
& op(e0,e4) = e4
& op(e1,e0) = e0
& op(e1,e1) = e4
& op(e1,e2) = e1
& op(e1,e3) = e2
& op(e1,e4) = e3
& op(e2,e0) = e1
& op(e2,e1) = e3
& op(e2,e2) = e2
& op(e2,e3) = e4
& op(e2,e4) = e0
& op(e3,e0) = e4
& op(e3,e1) = e1
& op(e3,e2) = e3
& op(e3,e3) = e0
& op(e3,e4) = e2
& op(e4,e0) = e2
& op(e4,e1) = e0
& op(e4,e2) = e4
& op(e4,e3) = e3
& op(e4,e4) = e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(15,plain,
op(e1,e0) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l514,plain,
op(e1,e0) = e0,
inference(instantiation,[status(thm)],[15]) ).
cnf(363,plain,
( op(e2,e0) != e1
| ~ sP10 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l120,plain,
( op(e2,e0) != e1
| ~ sP10 ),
inference(instantiation,[status(thm)],[363]) ).
cnf(333,plain,
( op(e3,e1) != e1
| ~ sP16 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l174,plain,
( op(e3,e1) != e1
| ~ sP16 ),
inference(instantiation,[status(thm)],[333]) ).
cnf(140,plain,
( op(e4,e2) != e4
| ~ sP54 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l184,plain,
( op(e4,e2) != e4
| ~ sP54 ),
inference(instantiation,[status(thm)],[140]) ).
cnf(407,plain,
( op(e0,e1) != e2
| ~ sP1 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l162,plain,
( op(e0,e1) != e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[407]) ).
cnf(70,plain,
( op(e4,e4) != e1
| ~ sP68 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l267,plain,
( op(e4,e4) != e1
| ~ sP68 ),
inference(instantiation,[status(thm)],[70]) ).
cnf(179,plain,
( op(e2,e0) != e1
| ~ sP47 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l159,plain,
( op(e2,e0) != e1
| ~ sP47 ),
inference(instantiation,[status(thm)],[179]) ).
cnf(205,plain,
( op(e1,e4) != e3
| ~ sP41 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l34,plain,
( op(e1,e4) != e3
| ~ sP41 ),
inference(instantiation,[status(thm)],[205]) ).
cnf(276,plain,
( op(e0,e3) != e1
| ~ sP27 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l261,plain,
( op(e0,e3) != e1
| ~ sP27 ),
inference(instantiation,[status(thm)],[276]) ).
cnf(296,plain,
( op(e4,e3) != e3
| ~ sP23 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l212,plain,
( op(e4,e3) != e3
| ~ sP23 ),
inference(instantiation,[status(thm)],[296]) ).
cnf(11,plain,
op(e0,e1) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l169,plain,
op(e0,e1) = e2,
inference(instantiation,[status(thm)],[11]) ).
cnf(378,plain,
( op(e1,e2) != e1
| ~ sP7 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l20,plain,
( op(e1,e2) != e1
| ~ sP7 ),
inference(instantiation,[status(thm)],[378]) ).
cnf(366,plain,
( op(e1,e4) != e3
| ~ sP9 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l503,plain,
( op(e1,e4) != e3
| ~ sP9 ),
inference(instantiation,[status(thm)],[366]) ).
cnf(214,plain,
( op(e0,e1) != e2
| ~ sP40 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l219,plain,
( op(e0,e1) != e2
| ~ sP40 ),
inference(instantiation,[status(thm)],[214]) ).
cnf(69,plain,
( op(e4,e0) != e2
| ~ sP69 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l108,plain,
( op(e4,e0) != e2
| ~ sP69 ),
inference(instantiation,[status(thm)],[69]) ).
cnf(167,plain,
( op(e2,e2) != e2
| ~ sP49 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l260,plain,
( op(e2,e2) != e2
| ~ sP49 ),
inference(instantiation,[status(thm)],[167]) ).
cnf(272,plain,
( op(e2,e0) != e1
| ~ sP28 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l234,plain,
( op(e2,e0) != e1
| ~ sP28 ),
inference(instantiation,[status(thm)],[272]) ).
cnf(29,plain,
op(e3,e4) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l752,plain,
op(e3,e4) = e2,
inference(instantiation,[status(thm)],[29]) ).
cnf(20,plain,
op(e2,e0) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l812,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(173,plain,
( op(e1,e2) != e1
| ~ sP48 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l191,plain,
( op(e1,e2) != e1
| ~ sP48 ),
inference(instantiation,[status(thm)],[173]) ).
cnf(312,plain,
( op(e4,e0) != e2
| ~ sP20 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l93,plain,
( op(e4,e0) != e2
| ~ sP20 ),
inference(instantiation,[status(thm)],[312]) ).
cnf(113,plain,
( op(e1,e3) != e2
| ~ sP60 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l310,plain,
( op(e1,e3) != e2
| ~ sP60 ),
inference(instantiation,[status(thm)],[113]) ).
cnf(25,plain,
op(e3,e0) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l970,plain,
op(e3,e0) = e4,
inference(instantiation,[status(thm)],[25]) ).
cnf(75,plain,
( op(e4,e4) != e1
| ~ sP67 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l18,plain,
( op(e4,e4) != e1
| ~ sP67 ),
inference(instantiation,[status(thm)],[75]) ).
cnf(268,plain,
( op(e0,e1) != e2
| ~ sP29 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l95,plain,
( op(e0,e1) != e2
| ~ sP29 ),
inference(instantiation,[status(thm)],[268]) ).
cnf(22,plain,
op(e2,e2) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l25,plain,
op(e2,e2) = e2,
inference(instantiation,[status(thm)],[22]) ).
cnf(17,plain,
op(e1,e2) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l23,plain,
op(e1,e2) = e1,
inference(instantiation,[status(thm)],[17]) ).
cnf(184,plain,
( op(e0,e2) != e0
| ~ sP46 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l135,plain,
( op(e0,e2) != e0
| ~ sP46 ),
inference(instantiation,[status(thm)],[184]) ).
cnf(131,plain,
( op(e3,e3) != e0
| ~ sP56 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l136,plain,
( op(e3,e3) != e0
| ~ sP56 ),
inference(instantiation,[status(thm)],[131]) ).
cnf(53,plain,
( op(e1,e4) != e3
| ~ sP72 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l14,plain,
( op(e1,e4) != e3
| ~ sP72 ),
inference(instantiation,[status(thm)],[53]) ).
cnf(30,plain,
op(e4,e0) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l1117,plain,
op(e4,e0) = e2,
inference(instantiation,[status(thm)],[30]) ).
cnf(24,plain,
op(e2,e4) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l298,plain,
op(e2,e4) = e0,
inference(instantiation,[status(thm)],[24]) ).
cnf(411,plain,
( op(e0,e0) != e3
| ~ sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l265,plain,
( op(e0,e0) != e3
| ~ sP0 ),
inference(instantiation,[status(thm)],[411]) ).
cnf(32,plain,
op(e4,e2) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l271,plain,
op(e4,e2) = e4,
inference(instantiation,[status(thm)],[32]) ).
cnf(317,plain,
( op(e3,e4) != e2
| ~ sP19 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l592,plain,
( op(e3,e4) != e2
| ~ sP19 ),
inference(instantiation,[status(thm)],[317]) ).
cnf(389,plain,
( op(e1,e0) != e0
| ~ sP5 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l148,plain,
( op(e1,e0) != e0
| ~ sP5 ),
inference(instantiation,[status(thm)],[389]) ).
cnf(356,plain,
( op(e2,e1) != e3
| ~ sP11 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l3,plain,
( op(e2,e1) != e3
| ~ sP11 ),
inference(instantiation,[status(thm)],[356]) ).
cnf(82,plain,
( op(e2,e4) != e0
| ~ sP66 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l10,plain,
( op(e2,e4) != e0
| ~ sP66 ),
inference(instantiation,[status(thm)],[82]) ).
cnf(324,plain,
( op(e3,e3) != e0
| ~ sP18 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l618,plain,
( op(e3,e3) != e0
| ~ sP18 ),
inference(instantiation,[status(thm)],[324]) ).
cnf(344,plain,
( op(e2,e4) != e0
| ~ sP14 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l223,plain,
( op(e2,e4) != e0
| ~ sP14 ),
inference(instantiation,[status(thm)],[344]) ).
cnf(380,plain,
( op(e1,e1) != e4
| ~ sP6 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l1,plain,
( op(e1,e1) != e4
| ~ sP6 ),
inference(instantiation,[status(thm)],[380]) ).
cnf(198,plain,
( op(e1,e1) != e4
| ~ sP43 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l145,plain,
( op(e1,e1) != e4
| ~ sP43 ),
inference(instantiation,[status(thm)],[198]) ).
cnf(88,plain,
( op(e4,e1) != e0
| ~ sP65 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l173,plain,
( op(e4,e1) != e0
| ~ sP65 ),
inference(instantiation,[status(thm)],[88]) ).
cnf(31,plain,
op(e4,e1) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l266,plain,
op(e4,e1) = e0,
inference(instantiation,[status(thm)],[31]) ).
cnf(345,plain,
( op(e2,e3) != e4
| ~ sP13 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l9,plain,
( op(e2,e3) != e4
| ~ sP13 ),
inference(instantiation,[status(thm)],[345]) ).
cnf(14,plain,
op(e0,e4) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l102,plain,
op(e0,e4) = e4,
inference(instantiation,[status(thm)],[14]) ).
cnf(47,plain,
( op(e4,e2) != e4
| ~ sP73 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l257,plain,
( op(e4,e2) != e4
| ~ sP73 ),
inference(instantiation,[status(thm)],[47]) ).
cnf(124,plain,
( op(e0,e3) != e1
| ~ sP58 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l157,plain,
( op(e0,e3) != e1
| ~ sP58 ),
inference(instantiation,[status(thm)],[124]) ).
cnf(146,plain,
( op(e2,e3) != e4
| ~ sP53 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l21,plain,
( op(e2,e3) != e4
| ~ sP53 ),
inference(instantiation,[status(thm)],[146]) ).
cnf(107,plain,
( op(e3,e2) != e3
| ~ sP61 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l94,plain,
( op(e3,e2) != e3
| ~ sP61 ),
inference(instantiation,[status(thm)],[107]) ).
cnf(16,plain,
op(e1,e1) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l1018,plain,
op(e1,e1) = e4,
inference(instantiation,[status(thm)],[16]) ).
cnf(l392,plain,
op(e0,e1) = e2,
inference(instantiation,[status(thm)],[11]) ).
cnf(33,plain,
op(e4,e3) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l636,plain,
op(e4,e3) = e3,
inference(instantiation,[status(thm)],[33]) ).
cnf(28,plain,
op(e3,e3) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l1088,plain,
op(e3,e3) = e0,
inference(instantiation,[status(thm)],[28]) ).
cnf(21,plain,
op(e2,e1) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l1006,plain,
op(e2,e1) = e3,
inference(instantiation,[status(thm)],[21]) ).
cnf(18,plain,
op(e1,e3) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l3147,plain,
op(e1,e3) = e2,
inference(instantiation,[status(thm)],[18]) ).
cnf(44,plain,
( op(e0,e4) != e4
| ~ sP74 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l263,plain,
( op(e0,e4) != e4
| ~ sP74 ),
inference(instantiation,[status(thm)],[44]) ).
cnf(283,plain,
( op(e1,e0) != e0
| ~ sP26 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l7,plain,
( op(e1,e0) != e0
| ~ sP26 ),
inference(instantiation,[status(thm)],[283]) ).
cnf(l1322,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(12,plain,
op(e0,e2) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l984,plain,
op(e0,e2) = e0,
inference(instantiation,[status(thm)],[12]) ).
cnf(34,plain,
op(e4,e4) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l175,plain,
op(e4,e4) = e1,
inference(instantiation,[status(thm)],[34]) ).
cnf(26,plain,
op(e3,e1) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l705,plain,
op(e3,e1) = e1,
inference(instantiation,[status(thm)],[26]) ).
cnf(115,plain,
( op(e3,e4) != e2
| ~ sP59 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l30,plain,
( op(e3,e4) != e2
| ~ sP59 ),
inference(instantiation,[status(thm)],[115]) ).
cnf(404,plain,
( op(e0,e2) != e0
| ~ sP2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l24,plain,
( op(e0,e2) != e0
| ~ sP2 ),
inference(instantiation,[status(thm)],[404]) ).
cnf(l97,plain,
op(e1,e1) = e4,
inference(instantiation,[status(thm)],[16]) ).
cnf(136,plain,
( op(e3,e3) != e0
| ~ sP55 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l64,plain,
( op(e3,e3) != e0
| ~ sP55 ),
inference(instantiation,[status(thm)],[136]) ).
cnf(300,plain,
( op(e4,e2) != e4
| ~ sP22 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l50,plain,
( op(e4,e2) != e4
| ~ sP22 ),
inference(instantiation,[status(thm)],[300]) ).
cnf(l1717,plain,
op(e3,e0) = e4,
inference(instantiation,[status(thm)],[25]) ).
cnf(27,plain,
op(e3,e2) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l279,plain,
op(e3,e2) = e3,
inference(instantiation,[status(thm)],[27]) ).
cnf(100,plain,
( op(e4,e3) != e3
| ~ sP62 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l59,plain,
( op(e4,e3) != e3
| ~ sP62 ),
inference(instantiation,[status(thm)],[100]) ).
cnf(l222,plain,
op(e3,e1) = e1,
inference(instantiation,[status(thm)],[26]) ).
cnf(l409,plain,
op(e3,e1) = e1,
inference(instantiation,[status(thm)],[26]) ).
cnf(260,plain,
( op(e4,e0) != e2
| ~ sP30 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l124,plain,
( op(e4,e0) != e2
| ~ sP30 ),
inference(instantiation,[status(thm)],[260]) ).
cnf(l1876,plain,
op(e0,e1) = e2,
inference(instantiation,[status(thm)],[11]) ).
cnf(l398,plain,
op(e4,e0) = e2,
inference(instantiation,[status(thm)],[30]) ).
cnf(l192,plain,
op(e1,e0) = e0,
inference(instantiation,[status(thm)],[15]) ).
cnf(l729,plain,
op(e3,e1) = e1,
inference(instantiation,[status(thm)],[26]) ).
cnf(l314,plain,
op(e4,e3) = e3,
inference(instantiation,[status(thm)],[33]) ).
cnf(l365,plain,
op(e1,e3) = e2,
inference(instantiation,[status(thm)],[18]) ).
cnf(l163,plain,
op(e4,e1) = e0,
inference(instantiation,[status(thm)],[31]) ).
fof(ax1,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(8,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax1]) ).
cnf(l1297,plain,
e2 != e4,
inference(instantiation,[status(thm)],[8]) ).
cnf(92,plain,
( op(e2,e3) != e4
| ~ sP64 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l140,plain,
( op(e2,e3) != e4
| ~ sP64 ),
inference(instantiation,[status(thm)],[92]) ).
cnf(335,plain,
( op(e3,e0) != e4
| ~ sP15 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l138,plain,
( op(e3,e0) != e4
| ~ sP15 ),
inference(instantiation,[status(thm)],[335]) ).
cnf(128,plain,
( op(e3,e1) != e1
| ~ sP57 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l11,plain,
( op(e3,e1) != e1
| ~ sP57 ),
inference(instantiation,[status(thm)],[128]) ).
cnf(398,plain,
( op(e0,e3) != e1
| ~ sP3 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l84,plain,
( op(e0,e3) != e1
| ~ sP3 ),
inference(instantiation,[status(thm)],[398]) ).
cnf(10,plain,
op(e0,e0) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l290,plain,
op(e0,e0) = e3,
inference(instantiation,[status(thm)],[10]) ).
cnf(l277,plain,
op(e0,e4) = e4,
inference(instantiation,[status(thm)],[14]) ).
cnf(13,plain,
op(e0,e3) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l282,plain,
op(e0,e3) = e1,
inference(instantiation,[status(thm)],[13]) ).
cnf(259,plain,
( op(e0,e0) != e3
| ~ sP31 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l5,plain,
( op(e0,e0) != e3
| ~ sP31 ),
inference(instantiation,[status(thm)],[259]) ).
cnf(l147,plain,
op(e3,e3) = e0,
inference(instantiation,[status(thm)],[28]) ).
cnf(l150,plain,
op(e0,e0) = e3,
inference(instantiation,[status(thm)],[10]) ).
cnf(l3903,plain,
op(e2,e4) = e0,
inference(instantiation,[status(thm)],[24]) ).
cnf(287,plain,
( op(e0,e2) != e0
| ~ sP25 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l91,plain,
( op(e0,e2) != e0
| ~ sP25 ),
inference(instantiation,[status(thm)],[287]) ).
cnf(254,plain,
( op(e0,e0) != e3
| ~ sP32 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l311,plain,
( op(e0,e0) != e3
| ~ sP32 ),
inference(instantiation,[status(thm)],[254]) ).
cnf(l1685,plain,
op(e1,e0) = e0,
inference(instantiation,[status(thm)],[15]) ).
cnf(l268,plain,
op(e4,e4) = e1,
inference(instantiation,[status(thm)],[34]) ).
cnf(23,plain,
op(e2,e3) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l45,plain,
op(e2,e3) = e4,
inference(instantiation,[status(thm)],[23]) ).
cnf(227,plain,
( op(e1,e2) != e1
| ~ sP37 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l122,plain,
( op(e1,e2) != e1
| ~ sP37 ),
inference(instantiation,[status(thm)],[227]) ).
cnf(230,plain,
( op(e4,e1) != e0
| ~ sP36 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l272,plain,
( op(e4,e1) != e0
| ~ sP36 ),
inference(instantiation,[status(thm)],[230]) ).
cnf(l2748,plain,
op(e4,e2) = e4,
inference(instantiation,[status(thm)],[32]) ).
cnf(19,plain,
op(e1,e4) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l916,plain,
op(e1,e4) = e3,
inference(instantiation,[status(thm)],[19]) ).
cnf(l1642,plain,
op(e3,e0) = e4,
inference(instantiation,[status(thm)],[25]) ).
cnf(l986,plain,
op(e1,e2) = e1,
inference(instantiation,[status(thm)],[17]) ).
cnf(l17,plain,
op(e1,e4) = e3,
inference(instantiation,[status(thm)],[19]) ).
cnf(l99,plain,
op(e0,e2) = e0,
inference(instantiation,[status(thm)],[12]) ).
cnf(l683,plain,
op(e2,e1) = e3,
inference(instantiation,[status(thm)],[21]) ).
cnf(l215,plain,
op(e3,e2) = e3,
inference(instantiation,[status(thm)],[27]) ).
cnf(l226,plain,
op(e2,e2) = e2,
inference(instantiation,[status(thm)],[22]) ).
cnf(l5876,plain,
op(e0,e1) = e2,
inference(instantiation,[status(thm)],[11]) ).
cnf(9,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax1]) ).
cnf(l1105,plain,
e3 != e4,
inference(instantiation,[status(thm)],[9]) ).
cnf(l483,plain,
op(e0,e3) = e1,
inference(instantiation,[status(thm)],[13]) ).
cnf(l1768,plain,
op(e4,e1) = e0,
inference(instantiation,[status(thm)],[31]) ).
cnf(l171,plain,
op(e4,e1) = e0,
inference(instantiation,[status(thm)],[31]) ).
cnf(216,plain,
( op(e1,e3) != e2
| ~ sP39 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l16,plain,
( op(e1,e3) != e2
| ~ sP39 ),
inference(instantiation,[status(thm)],[216]) ).
cnf(l211,plain,
op(e1,e4) = e3,
inference(instantiation,[status(thm)],[19]) ).
cnf(l2634,plain,
op(e3,e0) = e4,
inference(instantiation,[status(thm)],[25]) ).
cnf(309,plain,
( op(e4,e1) != e0
| ~ sP21 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l56,plain,
( op(e4,e1) != e0
| ~ sP21 ),
inference(instantiation,[status(thm)],[309]) ).
cnf(l1879,plain,
op(e1,e2) = e1,
inference(instantiation,[status(thm)],[17]) ).
cnf(l530,plain,
op(e4,e2) = e4,
inference(instantiation,[status(thm)],[32]) ).
cnf(l668,plain,
op(e0,e3) = e1,
inference(instantiation,[status(thm)],[13]) ).
cnf(l1265,plain,
op(e1,e4) = e3,
inference(instantiation,[status(thm)],[19]) ).
cnf(l389,plain,
op(e4,e1) = e0,
inference(instantiation,[status(thm)],[31]) ).
cnf(l922,plain,
op(e3,e4) = e2,
inference(instantiation,[status(thm)],[29]) ).
cnf(l5387,plain,
op(e2,e3) = e4,
inference(instantiation,[status(thm)],[23]) ).
cnf(202,plain,
( op(e2,e1) != e3
| ~ sP42 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l144,plain,
( op(e2,e1) != e3
| ~ sP42 ),
inference(instantiation,[status(thm)],[202]) ).
cnf(l78,plain,
op(e2,e1) = e3,
inference(instantiation,[status(thm)],[21]) ).
cnf(158,plain,
( op(e2,e1) != e3
| ~ sP51 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l89,plain,
( op(e2,e1) != e3
| ~ sP51 ),
inference(instantiation,[status(thm)],[158]) ).
cnf(l1321,plain,
op(e1,e0) = e0,
inference(instantiation,[status(thm)],[15]) ).
cnf(l288,plain,
op(e2,e3) = e4,
inference(instantiation,[status(thm)],[23]) ).
cnf(l262,plain,
op(e2,e2) = e2,
inference(instantiation,[status(thm)],[22]) ).
cnf(l1328,plain,
op(e1,e1) = e4,
inference(instantiation,[status(thm)],[16]) ).
cnf(l1975,plain,
op(e1,e2) = e1,
inference(instantiation,[status(thm)],[17]) ).
cnf(l3819,plain,
op(e3,e2) = e3,
inference(instantiation,[status(thm)],[27]) ).
cnf(l6955,plain,
op(e3,e2) = e3,
inference(instantiation,[status(thm)],[27]) ).
cnf(245,plain,
( op(e0,e4) != e4
| ~ sP33 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l19,plain,
( op(e0,e4) != e4
| ~ sP33 ),
inference(instantiation,[status(thm)],[245]) ).
cnf(l2440,plain,
op(e2,e2) = e2,
inference(instantiation,[status(thm)],[22]) ).
cnf(l2070,plain,
op(e0,e0) = e3,
inference(instantiation,[status(thm)],[10]) ).
cnf(l654,plain,
op(e1,e3) = e2,
inference(instantiation,[status(thm)],[18]) ).
cnf(l7037,plain,
op(e3,e0) = e4,
inference(instantiation,[status(thm)],[25]) ).
cnf(l1750,plain,
op(e2,e3) = e4,
inference(instantiation,[status(thm)],[23]) ).
cnf(l2758,plain,
op(e1,e2) = e1,
inference(instantiation,[status(thm)],[17]) ).
cnf(352,plain,
( op(e2,e2) != e2
| ~ sP12 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l92,plain,
( op(e2,e2) != e2
| ~ sP12 ),
inference(instantiation,[status(thm)],[352]) ).
cnf(l1359,plain,
op(e4,e0) = e2,
inference(instantiation,[status(thm)],[30]) ).
cnf(l3013,plain,
op(e0,e3) = e1,
inference(instantiation,[status(thm)],[13]) ).
cnf(390,plain,
( op(e0,e4) != e4
| ~ sP4 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l167,plain,
( op(e0,e4) != e4
| ~ sP4 ),
inference(instantiation,[status(thm)],[390]) ).
cnf(l912,plain,
op(e3,e4) = e2,
inference(instantiation,[status(thm)],[29]) ).
cnf(l16473,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(l965,plain,
op(e3,e2) = e3,
inference(instantiation,[status(thm)],[27]) ).
cnf(l927,plain,
op(e0,e2) = e0,
inference(instantiation,[status(thm)],[12]) ).
cnf(l601,plain,
op(e0,e4) = e4,
inference(instantiation,[status(thm)],[14]) ).
cnf(l497,plain,
op(e2,e3) = e4,
inference(instantiation,[status(thm)],[23]) ).
cnf(61,plain,
( op(e3,e4) != e2
| ~ sP70 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l13,plain,
( op(e3,e4) != e2
| ~ sP70 ),
inference(instantiation,[status(thm)],[61]) ).
cnf(l2847,plain,
op(e4,e4) = e1,
inference(instantiation,[status(thm)],[34]) ).
cnf(l366,plain,
op(e4,e2) = e4,
inference(instantiation,[status(thm)],[32]) ).
cnf(l3538,plain,
op(e3,e1) = e1,
inference(instantiation,[status(thm)],[26]) ).
cnf(l198,plain,
op(e1,e0) = e0,
inference(instantiation,[status(thm)],[15]) ).
cnf(l717,plain,
op(e1,e4) = e3,
inference(instantiation,[status(thm)],[19]) ).
cnf(372,plain,
( op(e1,e3) != e2
| ~ sP8 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l88,plain,
( op(e1,e3) != e2
| ~ sP8 ),
inference(instantiation,[status(thm)],[372]) ).
cnf(185,plain,
( op(e2,e4) != e0
| ~ sP45 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l31,plain,
( op(e2,e4) != e0
| ~ sP45 ),
inference(instantiation,[status(thm)],[185]) ).
cnf(l161,plain,
op(e3,e4) = e2,
inference(instantiation,[status(thm)],[29]) ).
cnf(4,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax1]) ).
cnf(l684,plain,
e1 != e2,
inference(instantiation,[status(thm)],[4]) ).
cnf(l221,plain,
op(e2,e1) = e3,
inference(instantiation,[status(thm)],[21]) ).
cnf(l388,plain,
op(e3,e4) = e2,
inference(instantiation,[status(thm)],[29]) ).
cnf(l1495,plain,
op(e4,e4) = e1,
inference(instantiation,[status(thm)],[34]) ).
cnf(l676,plain,
op(e0,e3) = e1,
inference(instantiation,[status(thm)],[13]) ).
cnf(l1004,plain,
op(e2,e1) = e3,
inference(instantiation,[status(thm)],[21]) ).
cnf(l1333,plain,
op(e2,e2) = e2,
inference(instantiation,[status(thm)],[22]) ).
cnf(l249,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(l82,plain,
op(e3,e1) = e1,
inference(instantiation,[status(thm)],[26]) ).
cnf(99,plain,
( op(e3,e0) != e4
| ~ sP63 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l213,plain,
( op(e3,e0) != e4
| ~ sP63 ),
inference(instantiation,[status(thm)],[99]) ).
cnf(l2768,plain,
op(e1,e3) = e2,
inference(instantiation,[status(thm)],[18]) ).
cnf(l1011,plain,
op(e1,e2) = e1,
inference(instantiation,[status(thm)],[17]) ).
cnf(l313,plain,
op(e0,e0) = e3,
inference(instantiation,[status(thm)],[10]) ).
cnf(l1647,plain,
op(e0,e3) = e1,
inference(instantiation,[status(thm)],[13]) ).
cnf(l915,plain,
op(e4,e3) = e3,
inference(instantiation,[status(thm)],[33]) ).
cnf(l739,plain,
op(e3,e3) = e0,
inference(instantiation,[status(thm)],[28]) ).
cnf(193,plain,
( op(e1,e1) != e4
| ~ sP44 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l127,plain,
( op(e1,e1) != e4
| ~ sP44 ),
inference(instantiation,[status(thm)],[193]) ).
cnf(326,plain,
( op(e3,e2) != e3
| ~ sP17 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l155,plain,
( op(e3,e2) != e3
| ~ sP17 ),
inference(instantiation,[status(thm)],[326]) ).
cnf(l253,plain,
op(e4,e1) = e0,
inference(instantiation,[status(thm)],[31]) ).
cnf(l172,plain,
op(e0,e4) = e4,
inference(instantiation,[status(thm)],[14]) ).
cnf(l507,plain,
op(e1,e4) = e3,
inference(instantiation,[status(thm)],[19]) ).
cnf(l276,plain,
op(e0,e2) = e0,
inference(instantiation,[status(thm)],[12]) ).
cnf(l693,plain,
op(e0,e2) = e0,
inference(instantiation,[status(thm)],[12]) ).
cnf(56,plain,
( op(e4,e3) != e3
| ~ sP71 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l134,plain,
( op(e4,e3) != e3
| ~ sP71 ),
inference(instantiation,[status(thm)],[56]) ).
cnf(l1338,plain,
op(e1,e1) = e4,
inference(instantiation,[status(thm)],[16]) ).
cnf(l688,plain,
op(e3,e0) = e4,
inference(instantiation,[status(thm)],[25]) ).
cnf(l243,plain,
op(e2,e4) = e0,
inference(instantiation,[status(thm)],[24]) ).
cnf(l894,plain,
op(e4,e0) = e2,
inference(instantiation,[status(thm)],[30]) ).
cnf(l3599,plain,
op(e1,e0) = e0,
inference(instantiation,[status(thm)],[15]) ).
cnf(l137,plain,
op(e1,e3) = e2,
inference(instantiation,[status(thm)],[18]) ).
cnf(l4775,plain,
op(e0,e1) = e2,
inference(instantiation,[status(thm)],[11]) ).
cnf(l652,plain,
op(e3,e4) = e2,
inference(instantiation,[status(thm)],[29]) ).
cnf(l370,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(l1860,plain,
op(e1,e1) = e4,
inference(instantiation,[status(thm)],[16]) ).
cnf(l74,plain,
op(e2,e3) = e4,
inference(instantiation,[status(thm)],[23]) ).
cnf(l1749,plain,
op(e3,e3) = e0,
inference(instantiation,[status(thm)],[28]) ).
cnf(l689,plain,
op(e4,e3) = e3,
inference(instantiation,[status(thm)],[33]) ).
cnf(l390,plain,
op(e1,e1) = e4,
inference(instantiation,[status(thm)],[16]) ).
cnf(l146,plain,
op(e4,e3) = e3,
inference(instantiation,[status(thm)],[33]) ).
cnf(l690,plain,
op(e0,e4) = e4,
inference(instantiation,[status(thm)],[14]) ).
cnf(l70,plain,
op(e2,e4) = e0,
inference(instantiation,[status(thm)],[24]) ).
cnf(l2451,plain,
op(e0,e1) = e2,
inference(instantiation,[status(thm)],[11]) ).
cnf(l1335,plain,
op(e4,e4) = e1,
inference(instantiation,[status(thm)],[34]) ).
cnf(l474,plain,
op(e4,e2) = e4,
inference(instantiation,[status(thm)],[32]) ).
cnf(l152,plain,
op(e1,e3) = e2,
inference(instantiation,[status(thm)],[18]) ).
cnf(l176,plain,
op(e3,e3) = e0,
inference(instantiation,[status(thm)],[28]) ).
cnf(l706,plain,
op(e2,e2) = e2,
inference(instantiation,[status(thm)],[22]) ).
cnf(l1999,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(l186,plain,
op(e3,e2) = e3,
inference(instantiation,[status(thm)],[27]) ).
cnf(l2375,plain,
op(e3,e3) = e0,
inference(instantiation,[status(thm)],[28]) ).
cnf(l931,plain,
op(e4,e0) = e2,
inference(instantiation,[status(thm)],[30]) ).
cnf(l75,plain,
op(e2,e4) = e0,
inference(instantiation,[status(thm)],[24]) ).
cnf(l13305,plain,
op(e1,e0) = e0,
inference(instantiation,[status(thm)],[15]) ).
cnf(l1702,plain,
op(e4,e3) = e3,
inference(instantiation,[status(thm)],[33]) ).
cnf(0,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax1]) ).
cnf(l5341,plain,
e0 != e1,
inference(instantiation,[status(thm)],[0]) ).
cnf(l2137,plain,
op(e0,e0) = e3,
inference(instantiation,[status(thm)],[10]) ).
cnf(2,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax1]) ).
cnf(l10079,plain,
e0 != e3,
inference(instantiation,[status(thm)],[2]) ).
cnf(l724,plain,
op(e3,e0) = e4,
inference(instantiation,[status(thm)],[25]) ).
cnf(l655,plain,
op(e2,e1) = e3,
inference(instantiation,[status(thm)],[21]) ).
cnf(l1030,plain,
op(e4,e2) = e4,
inference(instantiation,[status(thm)],[32]) ).
cnf(l1043,plain,
op(e2,e4) = e0,
inference(instantiation,[status(thm)],[24]) ).
cnf(293,plain,
( op(e4,e4) != e1
| ~ sP24 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l126,plain,
( op(e4,e4) != e1
| ~ sP24 ),
inference(instantiation,[status(thm)],[293]) ).
cnf(l128,plain,
op(e4,e4) = e1,
inference(instantiation,[status(thm)],[34]) ).
cnf(l12613,plain,
op(e0,e0) = e3,
inference(instantiation,[status(thm)],[10]) ).
cnf(l202,plain,
op(e0,e0) = e3,
inference(instantiation,[status(thm)],[10]) ).
cnf(l2747,plain,
op(e4,e0) = e2,
inference(instantiation,[status(thm)],[30]) ).
cnf(l287,plain,
op(e0,e4) = e4,
inference(instantiation,[status(thm)],[14]) ).
cnf(l6190,plain,
op(e4,e0) = e2,
inference(instantiation,[status(thm)],[30]) ).
cnf(l2696,plain,
op(e0,e2) = e0,
inference(instantiation,[status(thm)],[12]) ).
cnf(l3120,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l151,l132,l270,l264,l351,l514,l120,l174,l184,l162,l267,l159,l34,l261,l212,l169,l20,l503,l219,l108,l260,l234,l752,l812,l191,l93,l310,l970,l18,l95,l25,l23,l135,l136,l14,l1117,l298,l265,l271,l592,l148,l3,l10,l618,l223,l1,l145,l173,l266,l9,l102,l257,l157,l21,l94,l1018,l392,l636,l1088,l1006,l3147,l263,l7,l1322,l984,l175,l705,l30,l24,l97,l64,l50,l1717,l279,l59,l222,l409,l124,l1876,l398,l192,l729,l314,l365,l163,l1297,l140,l138,l11,l84,l290,l277,l282,l5,l147,l150,l3903,l91,l311,l1685,l268,l45,l122,l272,l2748,l916,l1642,l986,l17,l99,l683,l215,l226,l5876,l1105,l483,l1768,l171,l16,l211,l2634,l56,l1879,l530,l668,l1265,l389,l922,l5387,l144,l78,l89,l1321,l288,l262,l1328,l1975,l3819,l6955,l19,l2440,l2070,l654,l7037,l1750,l2758,l92,l1359,l3013,l167,l912,l16473,l965,l927,l601,l497,l13,l2847,l366,l3538,l198,l717,l88,l31,l161,l684,l221,l388,l1495,l676,l1004,l1333,l249,l82,l213,l2768,l1011,l313,l1647,l915,l739,l127,l155,l253,l172,l507,l276,l693,l134,l1338,l688,l243,l894,l3599,l137,l4775,l652,l370,l1860,l74,l1749,l689,l390,l146,l690,l70,l2451,l1335,l474,l152,l176,l706,l1999,l186,l2375,l931,l75,l13305,l1702,l5341,l2137,l10079,l724,l655,l1030,l1043,l126,l128,l12613,l202,l2747,l287,l6190,l2696,l3120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG186+1 : TPTP v9.0.0. Released v2.7.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n031.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 02:39:03 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 9
% 0.19/0.41 % launching worker at depth: 10
% 218.63/27.76 % SZS status Theorem for theBenchmark
% 218.63/27.76 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------