%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ALG187+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 : n022.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 09:45:56 AM UTC 2025
% Result : Theorem 200.67s 25.49s
% Output : CNFRefutation 200.67s
% 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(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
| ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
| ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 )
| ( op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3
& op(e3,e4) != e4 )
| ( op(e4,e0) != e0
& op(e4,e1) != e1
& op(e4,e2) != e2
& op(e4,e3) != 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(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
| ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
| ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 )
| ( op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3
& op(e3,e4) != e4 )
| ( op(e4,e0) != e0
& op(e4,e1) != e1
& op(e4,e2) != e2
& op(e4,e3) != 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(e0,e1) = e1
| op(e0,e0) = e0
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = 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(e0,e1) = e1
| op(e0,e0) = e0
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = 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(217,plain,
( op(e1,e2) != e2
| ~ sP39 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l16,plain,
( op(e1,e2) != e2
| ~ sP39 ),
inference(instantiation,[status(thm)],[217]) ).
cnf(69,plain,
( op(e4,e0) != e2
| ~ sP69 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l134,plain,
( op(e4,e0) != e2
| ~ sP69 ),
inference(instantiation,[status(thm)],[69]) ).
cnf(294,plain,
( op(e4,e4) != e0
| ~ sP24 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l83,plain,
( op(e4,e4) != e0
| ~ sP24 ),
inference(instantiation,[status(thm)],[294]) ).
cnf(195,plain,
( op(e1,e4) != e4
| ~ sP43 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l94,plain,
( op(e1,e4) != e4
| ~ sP43 ),
inference(instantiation,[status(thm)],[195]) ).
cnf(391,plain,
( op(e0,e4) != e3
| ~ sP4 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l107,plain,
( op(e0,e4) != e3
| ~ sP4 ),
inference(instantiation,[status(thm)],[391]) ).
fof(ax2,plain,
( op(e0,e0) = e4
& op(e0,e1) = e2
& op(e0,e2) = e0
& op(e0,e3) = e1
& op(e0,e4) = e3
& op(e1,e0) = e0
& op(e1,e1) = e1
& op(e1,e2) = e2
& op(e1,e3) = e3
& op(e1,e4) = e4
& op(e2,e0) = e1
& op(e2,e1) = e4
& op(e2,e2) = e3
& op(e2,e3) = e0
& op(e2,e4) = e2
& op(e3,e0) = e3
& op(e3,e1) = e0
& op(e3,e2) = e4
& op(e3,e3) = e2
& op(e3,e4) = e1
& op(e4,e0) = e2
& op(e4,e1) = e3
& op(e4,e2) = e1
& op(e4,e3) = e4
& op(e4,e4) = e0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(19,plain,
op(e1,e4) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l252,plain,
op(e1,e4) = e4,
inference(instantiation,[status(thm)],[19]) ).
cnf(223,plain,
( op(e1,e1) != e1
| ~ sP38 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l54,plain,
( op(e1,e1) != e1
| ~ sP38 ),
inference(instantiation,[status(thm)],[223]) ).
cnf(249,plain,
( op(e0,e0) != e4
| ~ sP33 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l19,plain,
( op(e0,e0) != e4
| ~ sP33 ),
inference(instantiation,[status(thm)],[249]) ).
cnf(251,plain,
( op(e3,e0) != e3
| ~ sP32 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l128,plain,
( op(e3,e0) != e3
| ~ sP32 ),
inference(instantiation,[status(thm)],[251]) ).
cnf(138,plain,
( op(e3,e1) != e0
| ~ sP55 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l227,plain,
( op(e3,e1) != e0
| ~ sP55 ),
inference(instantiation,[status(thm)],[138]) ).
cnf(80,plain,
( op(e4,e4) != e0
| ~ sP66 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l10,plain,
( op(e4,e4) != e0
| ~ sP66 ),
inference(instantiation,[status(thm)],[80]) ).
cnf(214,plain,
( op(e0,e1) != e2
| ~ sP40 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l442,plain,
( op(e0,e1) != e2
| ~ sP40 ),
inference(instantiation,[status(thm)],[214]) ).
cnf(163,plain,
( op(e1,e2) != e2
| ~ sP50 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l103,plain,
( op(e1,e2) != e2
| ~ sP50 ),
inference(instantiation,[status(thm)],[163]) ).
cnf(26,plain,
op(e3,e1) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l2593,plain,
op(e3,e1) = e0,
inference(instantiation,[status(thm)],[26]) ).
cnf(322,plain,
( op(e3,e3) != e2
| ~ sP18 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l213,plain,
( op(e3,e3) != e2
| ~ sP18 ),
inference(instantiation,[status(thm)],[322]) ).
cnf(276,plain,
( op(e0,e3) != e1
| ~ sP27 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l266,plain,
( op(e0,e3) != e1
| ~ sP27 ),
inference(instantiation,[status(thm)],[276]) ).
cnf(365,plain,
( op(e1,e4) != e4
| ~ sP9 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l151,plain,
( op(e1,e4) != e4
| ~ sP9 ),
inference(instantiation,[status(thm)],[365]) ).
cnf(97,plain,
( op(e3,e2) != e4
| ~ sP63 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l98,plain,
( op(e3,e2) != e4
| ~ sP63 ),
inference(instantiation,[status(thm)],[97]) ).
cnf(141,plain,
( op(e3,e2) != e4
| ~ sP54 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l46,plain,
( op(e3,e2) != e4
| ~ sP54 ),
inference(instantiation,[status(thm)],[141]) ).
cnf(312,plain,
( op(e4,e0) != e2
| ~ sP20 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l239,plain,
( op(e4,e0) != e2
| ~ sP20 ),
inference(instantiation,[status(thm)],[312]) ).
cnf(371,plain,
( op(e1,e3) != e3
| ~ sP8 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l120,plain,
( op(e1,e3) != e3
| ~ sP8 ),
inference(instantiation,[status(thm)],[371]) ).
cnf(103,plain,
( op(e1,e3) != e3
| ~ sP62 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l214,plain,
( op(e1,e3) != e3
| ~ sP62 ),
inference(instantiation,[status(thm)],[103]) ).
cnf(43,plain,
( op(e1,e4) != e4
| ~ sP74 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l185,plain,
( op(e1,e4) != e4
| ~ sP74 ),
inference(instantiation,[status(thm)],[43]) ).
cnf(132,plain,
( op(e2,e3) != e0
| ~ sP56 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l240,plain,
( op(e2,e3) != e0
| ~ sP56 ),
inference(instantiation,[status(thm)],[132]) ).
cnf(287,plain,
( op(e0,e2) != e0
| ~ sP25 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l193,plain,
( op(e0,e2) != e0
| ~ sP25 ),
inference(instantiation,[status(thm)],[287]) ).
cnf(325,plain,
( op(e3,e2) != e4
| ~ sP17 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l122,plain,
( op(e3,e2) != e4
| ~ sP17 ),
inference(instantiation,[status(thm)],[325]) ).
cnf(109,plain,
( op(e3,e0) != e3
| ~ sP61 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l254,plain,
( op(e3,e0) != e3
| ~ sP61 ),
inference(instantiation,[status(thm)],[109]) ).
cnf(200,plain,
( op(e4,e1) != e3
| ~ sP42 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l216,plain,
( op(e4,e1) != e3
| ~ sP42 ),
inference(instantiation,[status(thm)],[200]) ).
cnf(25,plain,
op(e3,e0) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l651,plain,
op(e3,e0) = e3,
inference(instantiation,[status(thm)],[25]) ).
cnf(77,plain,
( op(e4,e2) != e1
| ~ sP67 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l18,plain,
( op(e4,e2) != e1
| ~ sP67 ),
inference(instantiation,[status(thm)],[77]) ).
cnf(17,plain,
op(e1,e2) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l68,plain,
op(e1,e2) = e2,
inference(instantiation,[status(thm)],[17]) ).
cnf(12,plain,
op(e0,e2) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l557,plain,
op(e0,e2) = e0,
inference(instantiation,[status(thm)],[12]) ).
cnf(303,plain,
( op(e4,e2) != e1
| ~ sP22 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l221,plain,
( op(e4,e2) != e1
| ~ sP22 ),
inference(instantiation,[status(thm)],[303]) ).
cnf(334,plain,
( op(e3,e1) != e0
| ~ sP16 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l100,plain,
( op(e3,e1) != e0
| ~ sP16 ),
inference(instantiation,[status(thm)],[334]) ).
cnf(186,plain,
( op(e2,e3) != e0
| ~ sP45 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l31,plain,
( op(e2,e3) != e0
| ~ sP45 ),
inference(instantiation,[status(thm)],[186]) ).
cnf(206,plain,
( op(e1,e3) != e3
| ~ sP41 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l34,plain,
( op(e1,e3) != e3
| ~ sP41 ),
inference(instantiation,[status(thm)],[206]) ).
cnf(18,plain,
op(e1,e3) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l330,plain,
op(e1,e3) = e3,
inference(instantiation,[status(thm)],[18]) ).
cnf(116,plain,
( op(e3,e3) != e2
| ~ sP59 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l60,plain,
( op(e3,e3) != e2
| ~ sP59 ),
inference(instantiation,[status(thm)],[116]) ).
cnf(30,plain,
op(e4,e0) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l135,plain,
op(e4,e0) = e2,
inference(instantiation,[status(thm)],[30]) ).
cnf(23,plain,
op(e2,e3) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l339,plain,
op(e2,e3) = e0,
inference(instantiation,[status(thm)],[23]) ).
cnf(10,plain,
op(e0,e0) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l1779,plain,
op(e0,e0) = e4,
inference(instantiation,[status(thm)],[10]) ).
cnf(410,plain,
( op(e0,e0) != e4
| ~ sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l201,plain,
( op(e0,e0) != e4
| ~ sP0 ),
inference(instantiation,[status(thm)],[410]) ).
cnf(11,plain,
op(e0,e1) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l920,plain,
op(e0,e1) = e2,
inference(instantiation,[status(thm)],[11]) ).
cnf(231,plain,
( op(e3,e1) != e0
| ~ sP36 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l316,plain,
( op(e3,e1) != e0
| ~ sP36 ),
inference(instantiation,[status(thm)],[231]) ).
cnf(152,plain,
( op(e2,e2) != e3
| ~ sP52 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l133,plain,
( op(e2,e2) != e3
| ~ sP52 ),
inference(instantiation,[status(thm)],[152]) ).
cnf(27,plain,
op(e3,e2) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l859,plain,
op(e3,e2) = e4,
inference(instantiation,[status(thm)],[27]) ).
cnf(l129,plain,
op(e3,e2) = e4,
inference(instantiation,[status(thm)],[27]) ).
cnf(l827,plain,
op(e3,e0) = e3,
inference(instantiation,[status(thm)],[25]) ).
cnf(111,plain,
( op(e3,e3) != e2
| ~ sP60 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l30,plain,
( op(e3,e3) != e2
| ~ sP60 ),
inference(instantiation,[status(thm)],[111]) ).
cnf(34,plain,
op(e4,e4) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l1374,plain,
op(e4,e4) = e0,
inference(instantiation,[status(thm)],[34]) ).
cnf(255,plain,
( op(e0,e4) != e3
| ~ sP31 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l5,plain,
( op(e0,e4) != e3
| ~ sP31 ),
inference(instantiation,[status(thm)],[255]) ).
cnf(28,plain,
op(e3,e3) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l1297,plain,
op(e3,e3) = e2,
inference(instantiation,[status(thm)],[28]) ).
cnf(148,plain,
( op(e2,e1) != e4
| ~ sP53 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l21,plain,
( op(e2,e1) != e4
| ~ sP53 ),
inference(instantiation,[status(thm)],[148]) ).
cnf(46,plain,
( op(e4,e3) != e4
| ~ sP73 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l220,plain,
( op(e4,e3) != e4
| ~ sP73 ),
inference(instantiation,[status(thm)],[46]) ).
cnf(272,plain,
( op(e2,e0) != e1
| ~ sP28 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l104,plain,
( op(e2,e0) != e1
| ~ sP28 ),
inference(instantiation,[status(thm)],[272]) ).
cnf(260,plain,
( op(e4,e0) != e2
| ~ sP30 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l114,plain,
( op(e4,e0) != e2
| ~ sP30 ),
inference(instantiation,[status(thm)],[260]) ).
cnf(l497,plain,
op(e3,e2) = e4,
inference(instantiation,[status(thm)],[27]) ).
cnf(l1604,plain,
op(e0,e0) = e4,
inference(instantiation,[status(thm)],[10]) ).
cnf(l1126,plain,
op(e4,e0) = e2,
inference(instantiation,[status(thm)],[30]) ).
cnf(71,plain,
( op(e3,e4) != e1
| ~ sP68 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l292,plain,
( op(e3,e4) != e1
| ~ sP68 ),
inference(instantiation,[status(thm)],[71]) ).
cnf(179,plain,
( op(e2,e0) != e1
| ~ sP47 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l472,plain,
( op(e2,e0) != e1
| ~ sP47 ),
inference(instantiation,[status(thm)],[179]) ).
cnf(54,plain,
( op(e0,e4) != e3
| ~ sP72 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l14,plain,
( op(e0,e4) != e3
| ~ sP72 ),
inference(instantiation,[status(thm)],[54]) ).
cnf(l943,plain,
op(e3,e1) = e0,
inference(instantiation,[status(thm)],[26]) ).
cnf(407,plain,
( op(e0,e1) != e2
| ~ sP1 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l203,plain,
( op(e0,e1) != e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[407]) ).
cnf(351,plain,
( op(e2,e2) != e3
| ~ sP12 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l196,plain,
( op(e2,e2) != e3
| ~ sP12 ),
inference(instantiation,[status(thm)],[351]) ).
cnf(l137,plain,
op(e1,e4) = e4,
inference(instantiation,[status(thm)],[19]) ).
cnf(l25,plain,
op(e3,e3) = e2,
inference(instantiation,[status(thm)],[28]) ).
cnf(l647,plain,
op(e3,e1) = e0,
inference(instantiation,[status(thm)],[26]) ).
cnf(192,plain,
( op(e2,e1) != e4
| ~ sP44 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l85,plain,
( op(e2,e1) != e4
| ~ sP44 ),
inference(instantiation,[status(thm)],[192]) ).
cnf(l469,plain,
op(e1,e3) = e3,
inference(instantiation,[status(thm)],[18]) ).
cnf(33,plain,
op(e4,e3) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l1197,plain,
op(e4,e3) = e4,
inference(instantiation,[status(thm)],[33]) ).
cnf(l580,plain,
op(e3,e3) = e2,
inference(instantiation,[status(thm)],[28]) ).
cnf(l564,plain,
op(e3,e2) = e4,
inference(instantiation,[status(thm)],[27]) ).
cnf(20,plain,
op(e2,e0) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l563,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(318,plain,
( op(e3,e4) != e1
| ~ sP19 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l132,plain,
( op(e3,e4) != e1
| ~ sP19 ),
inference(instantiation,[status(thm)],[318]) ).
cnf(32,plain,
op(e4,e2) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l45,plain,
op(e4,e2) = e1,
inference(instantiation,[status(thm)],[32]) ).
cnf(29,plain,
op(e3,e4) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l513,plain,
op(e3,e4) = e1,
inference(instantiation,[status(thm)],[29]) ).
cnf(l1050,plain,
op(e4,e2) = e1,
inference(instantiation,[status(thm)],[32]) ).
cnf(l654,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(228,plain,
( op(e1,e1) != e1
| ~ sP37 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l110,plain,
( op(e1,e1) != e1
| ~ sP37 ),
inference(instantiation,[status(thm)],[228]) ).
cnf(l722,plain,
op(e0,e0) = e4,
inference(instantiation,[status(thm)],[10]) ).
cnf(l1558,plain,
op(e4,e4) = e0,
inference(instantiation,[status(thm)],[34]) ).
cnf(377,plain,
( op(e1,e2) != e2
| ~ sP7 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l20,plain,
( op(e1,e2) != e2
| ~ sP7 ),
inference(instantiation,[status(thm)],[377]) ).
cnf(16,plain,
op(e1,e1) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l590,plain,
op(e1,e1) = e1,
inference(instantiation,[status(thm)],[16]) ).
cnf(l652,plain,
op(e1,e3) = e3,
inference(instantiation,[status(thm)],[18]) ).
cnf(90,plain,
( op(e4,e3) != e4
| ~ sP64 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l205,plain,
( op(e4,e3) != e4
| ~ sP64 ),
inference(instantiation,[status(thm)],[90]) ).
cnf(14,plain,
op(e0,e4) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l17,plain,
op(e0,e4) = e3,
inference(instantiation,[status(thm)],[14]) ).
cnf(398,plain,
( op(e0,e3) != e1
| ~ sP3 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l152,plain,
( op(e0,e3) != e1
| ~ sP3 ),
inference(instantiation,[status(thm)],[398]) ).
cnf(125,plain,
( op(e3,e4) != e1
| ~ sP57 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l11,plain,
( op(e3,e4) != e1
| ~ sP57 ),
inference(instantiation,[status(thm)],[125]) ).
cnf(22,plain,
op(e2,e2) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l1671,plain,
op(e2,e2) = e3,
inference(instantiation,[status(thm)],[22]) ).
cnf(l716,plain,
op(e3,e0) = e3,
inference(instantiation,[status(thm)],[25]) ).
cnf(239,plain,
( op(e1,e0) != e0
| ~ sP35 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l97,plain,
( op(e1,e0) != e0
| ~ sP35 ),
inference(instantiation,[status(thm)],[239]) ).
cnf(l891,plain,
op(e2,e3) = e0,
inference(instantiation,[status(thm)],[23]) ).
cnf(165,plain,
( op(e2,e4) != e2
| ~ sP49 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l199,plain,
( op(e2,e4) != e2
| ~ sP49 ),
inference(instantiation,[status(thm)],[165]) ).
cnf(l121,plain,
op(e1,e2) = e2,
inference(instantiation,[status(thm)],[17]) ).
cnf(l1588,plain,
op(e1,e2) = e2,
inference(instantiation,[status(thm)],[17]) ).
cnf(l223,plain,
op(e2,e2) = e3,
inference(instantiation,[status(thm)],[22]) ).
cnf(336,plain,
( op(e3,e0) != e3
| ~ sP15 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l116,plain,
( op(e3,e0) != e3
| ~ sP15 ),
inference(instantiation,[status(thm)],[336]) ).
cnf(l204,plain,
op(e1,e3) = e3,
inference(instantiation,[status(thm)],[18]) ).
cnf(349,plain,
( op(e2,e3) != e0
| ~ sP13 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l9,plain,
( op(e2,e3) != e0
| ~ sP13 ),
inference(instantiation,[status(thm)],[349]) ).
cnf(124,plain,
( op(e0,e3) != e1
| ~ sP58 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l195,plain,
( op(e0,e3) != e1
| ~ sP58 ),
inference(instantiation,[status(thm)],[124]) ).
cnf(l491,plain,
op(e0,e1) = e2,
inference(instantiation,[status(thm)],[11]) ).
cnf(l2225,plain,
op(e4,e4) = e0,
inference(instantiation,[status(thm)],[34]) ).
cnf(21,plain,
op(e2,e1) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l144,plain,
op(e2,e1) = e4,
inference(instantiation,[status(thm)],[21]) ).
cnf(24,plain,
op(e2,e4) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l245,plain,
op(e2,e4) = e2,
inference(instantiation,[status(thm)],[24]) ).
cnf(l423,plain,
op(e1,e3) = e3,
inference(instantiation,[status(thm)],[18]) ).
cnf(157,plain,
( op(e2,e2) != e3
| ~ sP51 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l112,plain,
( op(e2,e2) != e3
| ~ sP51 ),
inference(instantiation,[status(thm)],[157]) ).
cnf(389,plain,
( op(e1,e0) != e0
| ~ sP5 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l208,plain,
( op(e1,e0) != e0
| ~ sP5 ),
inference(instantiation,[status(thm)],[389]) ).
cnf(l1357,plain,
op(e0,e1) = e2,
inference(instantiation,[status(thm)],[11]) ).
cnf(l215,plain,
op(e1,e2) = e2,
inference(instantiation,[status(thm)],[17]) ).
cnf(l686,plain,
op(e1,e4) = e4,
inference(instantiation,[status(thm)],[19]) ).
cnf(l312,plain,
op(e3,e3) = e2,
inference(instantiation,[status(thm)],[28]) ).
cnf(15,plain,
op(e1,e0) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l1543,plain,
op(e1,e0) = e0,
inference(instantiation,[status(thm)],[15]) ).
cnf(l248,plain,
op(e2,e3) = e0,
inference(instantiation,[status(thm)],[23]) ).
cnf(l1541,plain,
op(e2,e1) = e4,
inference(instantiation,[status(thm)],[21]) ).
cnf(l115,plain,
op(e4,e0) = e2,
inference(instantiation,[status(thm)],[30]) ).
cnf(l1780,plain,
op(e2,e4) = e2,
inference(instantiation,[status(thm)],[24]) ).
cnf(l1083,plain,
op(e3,e1) = e0,
inference(instantiation,[status(thm)],[26]) ).
cnf(13,plain,
op(e0,e3) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l315,plain,
op(e0,e3) = e1,
inference(instantiation,[status(thm)],[13]) ).
cnf(l88,plain,
op(e3,e4) = e1,
inference(instantiation,[status(thm)],[29]) ).
cnf(l725,plain,
op(e2,e2) = e3,
inference(instantiation,[status(thm)],[22]) ).
cnf(l408,plain,
op(e4,e3) = e4,
inference(instantiation,[status(thm)],[33]) ).
cnf(l162,plain,
op(e2,e1) = e4,
inference(instantiation,[status(thm)],[21]) ).
cnf(170,plain,
( op(e4,e2) != e1
| ~ sP48 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l210,plain,
( op(e4,e2) != e1
| ~ sP48 ),
inference(instantiation,[status(thm)],[170]) ).
cnf(l2055,plain,
op(e4,e4) = e0,
inference(instantiation,[status(thm)],[34]) ).
cnf(l1498,plain,
op(e3,e4) = e1,
inference(instantiation,[status(thm)],[29]) ).
cnf(l1411,plain,
op(e3,e4) = e1,
inference(instantiation,[status(thm)],[29]) ).
cnf(l101,plain,
op(e1,e0) = e0,
inference(instantiation,[status(thm)],[15]) ).
cnf(85,plain,
( op(e4,e4) != e0
| ~ sP65 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l211,plain,
( op(e4,e4) != e0
| ~ sP65 ),
inference(instantiation,[status(thm)],[85]) ).
cnf(l1607,plain,
op(e1,e2) = e2,
inference(instantiation,[status(thm)],[17]) ).
cnf(l1325,plain,
op(e2,e3) = e0,
inference(instantiation,[status(thm)],[23]) ).
cnf(l334,plain,
op(e3,e2) = e4,
inference(instantiation,[status(thm)],[27]) ).
cnf(l69,plain,
op(e3,e1) = e0,
inference(instantiation,[status(thm)],[26]) ).
cnf(l1539,plain,
op(e0,e3) = e1,
inference(instantiation,[status(thm)],[13]) ).
cnf(l130,plain,
op(e0,e0) = e4,
inference(instantiation,[status(thm)],[10]) ).
cnf(l4629,plain,
op(e0,e4) = e3,
inference(instantiation,[status(thm)],[14]) ).
cnf(363,plain,
( op(e2,e0) != e1
| ~ sP10 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l99,plain,
( op(e2,e0) != e1
| ~ sP10 ),
inference(instantiation,[status(thm)],[363]) ).
cnf(295,plain,
( op(e4,e3) != e4
| ~ sP23 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l76,plain,
( op(e4,e3) != e4
| ~ sP23 ),
inference(instantiation,[status(thm)],[295]) ).
cnf(l405,plain,
op(e0,e3) = e1,
inference(instantiation,[status(thm)],[13]) ).
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(9,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax1]) ).
cnf(l275,plain,
e3 != e4,
inference(instantiation,[status(thm)],[9]) ).
cnf(l1230,plain,
op(e3,e0) = e3,
inference(instantiation,[status(thm)],[25]) ).
cnf(l249,plain,
op(e1,e4) = e4,
inference(instantiation,[status(thm)],[19]) ).
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(l717,plain,
op(e1,e1) = e1,
inference(instantiation,[status(thm)],[16]) ).
cnf(l349,plain,
op(e0,e4) = e3,
inference(instantiation,[status(thm)],[14]) ).
cnf(l838,plain,
op(e4,e4) = e0,
inference(instantiation,[status(thm)],[34]) ).
cnf(l343,plain,
op(e1,e0) = e0,
inference(instantiation,[status(thm)],[15]) ).
cnf(l11677,plain,
op(e0,e2) = e0,
inference(instantiation,[status(thm)],[12]) ).
cnf(1,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax1]) ).
cnf(l241,plain,
e0 != e2,
inference(instantiation,[status(thm)],[1]) ).
cnf(31,plain,
op(e4,e1) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l839,plain,
op(e4,e1) = e3,
inference(instantiation,[status(thm)],[31]) ).
cnf(l225,plain,
op(e4,e0) = e2,
inference(instantiation,[status(thm)],[30]) ).
cnf(l95,plain,
op(e0,e4) = e3,
inference(instantiation,[status(thm)],[14]) ).
cnf(l777,plain,
op(e1,e4) = e4,
inference(instantiation,[status(thm)],[19]) ).
cnf(l815,plain,
op(e4,e2) = e1,
inference(instantiation,[status(thm)],[32]) ).
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(l1652,plain,
op(e3,e0) = e3,
inference(instantiation,[status(thm)],[25]) ).
cnf(l197,plain,
op(e2,e2) = e3,
inference(instantiation,[status(thm)],[22]) ).
cnf(306,plain,
( op(e4,e1) != e3
| ~ sP21 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l222,plain,
( op(e4,e1) != e3
| ~ sP21 ),
inference(instantiation,[status(thm)],[306]) ).
cnf(l840,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(l382,plain,
op(e4,e2) = e1,
inference(instantiation,[status(thm)],[32]) ).
cnf(l280,plain,
op(e2,e1) = e4,
inference(instantiation,[status(thm)],[21]) ).
cnf(l805,plain,
op(e0,e1) = e2,
inference(instantiation,[status(thm)],[11]) ).
cnf(l980,plain,
op(e4,e1) = e3,
inference(instantiation,[status(thm)],[31]) ).
cnf(184,plain,
( op(e0,e2) != e0
| ~ sP46 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l243,plain,
( op(e0,e2) != e0
| ~ sP46 ),
inference(instantiation,[status(thm)],[184]) ).
cnf(l70,plain,
op(e3,e4) = e1,
inference(instantiation,[status(thm)],[29]) ).
cnf(l238,plain,
op(e2,e2) = e3,
inference(instantiation,[status(thm)],[22]) ).
cnf(l23,plain,
op(e1,e2) = e2,
inference(instantiation,[status(thm)],[17]) ).
cnf(l113,plain,
op(e2,e4) = e2,
inference(instantiation,[status(thm)],[24]) ).
cnf(l244,plain,
op(e2,e2) = e3,
inference(instantiation,[status(thm)],[22]) ).
cnf(l573,plain,
op(e0,e3) = e1,
inference(instantiation,[status(thm)],[13]) ).
cnf(l282,plain,
op(e0,e2) = e0,
inference(instantiation,[status(thm)],[12]) ).
cnf(l731,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(244,plain,
( op(e0,e0) != e4
| ~ sP34 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l61,plain,
( op(e0,e0) != e4
| ~ sP34 ),
inference(instantiation,[status(thm)],[244]) ).
cnf(l289,plain,
op(e0,e2) = e0,
inference(instantiation,[status(thm)],[12]) ).
cnf(l1566,plain,
op(e0,e4) = e3,
inference(instantiation,[status(thm)],[14]) ).
cnf(l217,plain,
op(e4,e3) = e4,
inference(instantiation,[status(thm)],[33]) ).
cnf(l718,plain,
op(e2,e3) = e0,
inference(instantiation,[status(thm)],[23]) ).
cnf(355,plain,
( op(e2,e1) != e4
| ~ sP11 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l3,plain,
( op(e2,e1) != e4
| ~ sP11 ),
inference(instantiation,[status(thm)],[355]) ).
cnf(l1895,plain,
op(e4,e3) = e4,
inference(instantiation,[status(thm)],[33]) ).
cnf(l653,plain,
op(e0,e0) = e4,
inference(instantiation,[status(thm)],[10]) ).
cnf(l6087,plain,
op(e1,e4) = e4,
inference(instantiation,[status(thm)],[19]) ).
cnf(l1733,plain,
op(e0,e3) = e1,
inference(instantiation,[status(thm)],[13]) ).
cnf(l1114,plain,
op(e4,e0) = e2,
inference(instantiation,[status(thm)],[30]) ).
cnf(l1542,plain,
op(e2,e1) = e4,
inference(instantiation,[status(thm)],[21]) ).
cnf(l3451,plain,
op(e1,e1) = e1,
inference(instantiation,[status(thm)],[16]) ).
cnf(l1848,plain,
op(e0,e4) = e3,
inference(instantiation,[status(thm)],[14]) ).
cnf(l102,plain,
op(e2,e1) = e4,
inference(instantiation,[status(thm)],[21]) ).
cnf(l593,plain,
op(e1,e3) = e3,
inference(instantiation,[status(thm)],[18]) ).
cnf(l4961,plain,
op(e1,e1) = e1,
inference(instantiation,[status(thm)],[16]) ).
cnf(l834,plain,
op(e4,e2) = e1,
inference(instantiation,[status(thm)],[32]) ).
cnf(l5911,plain,
op(e0,e4) = e3,
inference(instantiation,[status(thm)],[14]) ).
cnf(383,plain,
( op(e1,e1) != e1
| ~ sP6 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l1,plain,
( op(e1,e1) != e1
| ~ sP6 ),
inference(instantiation,[status(thm)],[383]) ).
cnf(l111,plain,
op(e1,e0) = e0,
inference(instantiation,[status(thm)],[15]) ).
cnf(l218,plain,
op(e4,e4) = e0,
inference(instantiation,[status(thm)],[34]) ).
cnf(58,plain,
( op(e4,e1) != e3
| ~ sP71 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l96,plain,
( op(e4,e1) != e3
| ~ sP71 ),
inference(instantiation,[status(thm)],[58]) ).
cnf(l921,plain,
op(e4,e0) = e2,
inference(instantiation,[status(thm)],[30]) ).
cnf(l63,plain,
op(e4,e1) = e3,
inference(instantiation,[status(thm)],[31]) ).
cnf(l577,plain,
op(e3,e1) = e0,
inference(instantiation,[status(thm)],[26]) ).
cnf(l419,plain,
op(e3,e3) = e2,
inference(instantiation,[status(thm)],[28]) ).
cnf(l242,plain,
op(e4,e1) = e3,
inference(instantiation,[status(thm)],[31]) ).
cnf(l268,plain,
op(e3,e4) = e1,
inference(instantiation,[status(thm)],[29]) ).
cnf(l257,plain,
op(e1,e1) = e1,
inference(instantiation,[status(thm)],[16]) ).
cnf(l2040,plain,
op(e3,e3) = e2,
inference(instantiation,[status(thm)],[28]) ).
cnf(l403,plain,
op(e4,e3) = e4,
inference(instantiation,[status(thm)],[33]) ).
cnf(342,plain,
( op(e2,e4) != e2
| ~ sP14 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l143,plain,
( op(e2,e4) != e2
| ~ sP14 ),
inference(instantiation,[status(thm)],[342]) ).
cnf(l826,plain,
op(e2,e4) = e2,
inference(instantiation,[status(thm)],[24]) ).
cnf(l2363,plain,
op(e3,e0) = e3,
inference(instantiation,[status(thm)],[25]) ).
cnf(l1162,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(l952,plain,
op(e2,e3) = e0,
inference(instantiation,[status(thm)],[23]) ).
cnf(62,plain,
( op(e2,e4) != e2
| ~ sP70 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l13,plain,
( op(e2,e4) != e2
| ~ sP70 ),
inference(instantiation,[status(thm)],[62]) ).
cnf(l2105,plain,
op(e0,e2) = e0,
inference(instantiation,[status(thm)],[12]) ).
cnf(l318,plain,
op(e0,e0) = e4,
inference(instantiation,[status(thm)],[10]) ).
cnf(l1499,plain,
op(e1,e1) = e1,
inference(instantiation,[status(thm)],[16]) ).
cnf(l544,plain,
op(e4,e1) = e3,
inference(instantiation,[status(thm)],[31]) ).
cnf(l291,plain,
op(e4,e3) = e4,
inference(instantiation,[status(thm)],[33]) ).
cnf(4,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax1]) ).
cnf(l4895,plain,
e1 != e2,
inference(instantiation,[status(thm)],[4]) ).
cnf(l985,plain,
op(e1,e0) = e0,
inference(instantiation,[status(thm)],[15]) ).
cnf(l89,plain,
op(e0,e0) = e4,
inference(instantiation,[status(thm)],[10]) ).
cnf(3,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax1]) ).
cnf(l2494,plain,
e0 != e4,
inference(instantiation,[status(thm)],[3]) ).
cnf(l1670,plain,
op(e0,e2) = e0,
inference(instantiation,[status(thm)],[12]) ).
cnf(268,plain,
( op(e0,e1) != e2
| ~ sP29 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l272,plain,
( op(e0,e1) != e2
| ~ sP29 ),
inference(instantiation,[status(thm)],[268]) ).
cnf(l392,plain,
op(e0,e1) = e2,
inference(instantiation,[status(thm)],[11]) ).
cnf(l1533,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(l727,plain,
op(e1,e0) = e0,
inference(instantiation,[status(thm)],[15]) ).
cnf(l119,plain,
op(e4,e1) = e3,
inference(instantiation,[status(thm)],[31]) ).
cnf(l191,plain,
op(e0,e1) = e2,
inference(instantiation,[status(thm)],[11]) ).
cnf(5,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax1]) ).
cnf(l1284,plain,
e1 != e3,
inference(instantiation,[status(thm)],[5]) ).
cnf(l7106,plain,
op(e0,e3) = e1,
inference(instantiation,[status(thm)],[13]) ).
cnf(l5987,plain,
op(e3,e2) = e4,
inference(instantiation,[status(thm)],[27]) ).
cnf(l2647,plain,
op(e0,e2) = e0,
inference(instantiation,[status(thm)],[12]) ).
cnf(l1327,plain,
op(e2,e4) = e2,
inference(instantiation,[status(thm)],[24]) ).
cnf(l772,plain,
op(e0,e1) = e2,
inference(instantiation,[status(thm)],[11]) ).
cnf(l434,plain,
op(e4,e2) = e1,
inference(instantiation,[status(thm)],[32]) ).
cnf(l1117,plain,
op(e2,e4) = e2,
inference(instantiation,[status(thm)],[24]) ).
cnf(l2352,plain,
op(e0,e3) = e1,
inference(instantiation,[status(thm)],[13]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l16,l134,l83,l94,l107,l252,l54,l19,l128,l227,l10,l442,l103,l2593,l213,l266,l151,l98,l46,l239,l120,l214,l185,l240,l193,l122,l254,l216,l651,l18,l68,l557,l221,l100,l31,l34,l330,l60,l135,l339,l1779,l201,l920,l316,l133,l859,l129,l827,l30,l1374,l5,l1297,l21,l220,l104,l114,l497,l1604,l1126,l292,l472,l14,l943,l203,l196,l137,l25,l647,l85,l469,l1197,l580,l564,l563,l132,l45,l513,l1050,l654,l110,l722,l1558,l20,l590,l652,l205,l17,l152,l11,l1671,l716,l97,l891,l199,l121,l1588,l223,l116,l204,l9,l195,l491,l2225,l144,l245,l423,l112,l208,l1357,l215,l686,l312,l1543,l248,l1541,l115,l1780,l1083,l315,l88,l725,l408,l162,l210,l2055,l1498,l1411,l101,l211,l1607,l1325,l334,l69,l1539,l130,l4629,l99,l76,l405,l275,l1230,l249,l7,l717,l349,l838,l343,l11677,l241,l839,l225,l95,l777,l815,l24,l1652,l197,l222,l840,l382,l280,l805,l980,l243,l70,l238,l23,l113,l244,l573,l282,l731,l61,l289,l1566,l217,l718,l3,l1895,l653,l6087,l1733,l1114,l1542,l3451,l1848,l102,l593,l4961,l834,l5911,l1,l111,l218,l96,l921,l63,l577,l419,l242,l268,l257,l2040,l403,l143,l826,l2363,l1162,l952,l13,l2105,l318,l1499,l544,l291,l4895,l985,l89,l2494,l1670,l272,l392,l1533,l727,l119,l191,l1284,l7106,l5987,l2647,l1327,l772,l434,l1117,l2352]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ALG187+1 : TPTP v9.0.0. Released v2.7.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n022.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 02:39:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.36 % launching worker at depth: 9
% 0.12/0.39 % launching worker at depth: 10
% 200.67/25.49 % SZS status Theorem for theBenchmark
% 200.67/25.49 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------