%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ALG188+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 : n027.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 68.22s 8.90s
% Output : CNFRefutation 68.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 379 ( 226 unt; 0 def)
% Number of atoms : 1647 (1350 equ)
% Maximal formula atoms : 425 ( 4 avg)
% Number of connectives : 1667 ( 399 ~; 996 |; 272 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 126 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 76 ( 74 usr; 75 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,op(e0,e0)) = e0
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e4)) = e4
& op(e1,op(e1,e0)) = e0
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e4)) = e4
& op(e2,op(e2,e0)) = e0
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e4)) = e4
& op(e3,op(e3,e0)) = e0
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e4)) = e4
& op(e4,op(e4,e0)) = e0
& op(e4,op(e4,e1)) = e1
& op(e4,op(e4,e2)) = e2
& op(e4,op(e4,e3)) = e3
& op(e4,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,op(e0,e0)) = e0
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e4)) = e4
& op(e1,op(e1,e0)) = e0
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e4)) = e4
& op(e2,op(e2,e0)) = e0
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e4)) = e4
& op(e3,op(e3,e0)) = e0
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e4)) = e4
& op(e4,op(e4,e0)) = e0
& op(e4,op(e4,e1)) = e1
& op(e4,op(e4,e2)) = e2
& op(e4,op(e4,e3)) = e3
& op(e4,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(e1,op(e1,e1)) != e1
| op(e1,op(e1,e0)) != e0
| op(e1,op(e1,e2)) != e2
| op(e1,op(e1,e3)) != e3
| op(e1,op(e1,e4)) != e4
| op(e0,e0) != e0
| op(e0,op(e0,e1)) != e1
| op(e0,op(e0,e0)) != e0
| op(e0,op(e0,e2)) != e2
| op(e0,op(e0,e3)) != e3
| op(e0,op(e0,e4)) != e4
| op(e2,op(e2,e1)) != e1
| op(e2,op(e2,e0)) != e0
| op(e2,op(e2,e2)) != e2
| op(e2,op(e2,e3)) != e3
| op(e2,op(e2,e4)) != e4
| op(e3,op(e3,e1)) != e1
| op(e3,op(e3,e0)) != e0
| op(e3,op(e3,e2)) != e2
| op(e3,op(e3,e3)) != e3
| op(e3,op(e3,e4)) != e4
| op(e4,op(e4,e1)) != e1
| op(e4,op(e4,e0)) != e0
| op(e4,op(e4,e2)) != e2
| op(e4,op(e4,e3)) != e3
| op(e4,op(e4,e4)) != e4
| 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
| sP27
| sP39
| sP44
| sP49
| sP9
| sP10
| sP0
| sP2
| sP4
| sP1
| sP6
| sP3
| sP7
| sP8
| sP5
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP28
| sP29
| sP30
| sP31
| sP32
| sP34
| sP33
| sP35
| sP36
| sP37
| sP38
| sP40
| sP41
| sP42
| sP43
| sP45
| sP46
| sP47
| 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 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l0,plain,
( op(e1,op(e1,e1)) != e1
| op(e1,op(e1,e0)) != e0
| op(e1,op(e1,e2)) != e2
| op(e1,op(e1,e3)) != e3
| op(e1,op(e1,e4)) != e4
| op(e0,e0) != e0
| op(e0,op(e0,e1)) != e1
| op(e0,op(e0,e0)) != e0
| op(e0,op(e0,e2)) != e2
| op(e0,op(e0,e3)) != e3
| op(e0,op(e0,e4)) != e4
| op(e2,op(e2,e1)) != e1
| op(e2,op(e2,e0)) != e0
| op(e2,op(e2,e2)) != e2
| op(e2,op(e2,e3)) != e3
| op(e2,op(e2,e4)) != e4
| op(e3,op(e3,e1)) != e1
| op(e3,op(e3,e0)) != e0
| op(e3,op(e3,e2)) != e2
| op(e3,op(e3,e3)) != e3
| op(e3,op(e3,e4)) != e4
| op(e4,op(e4,e1)) != e1
| op(e4,op(e4,e0)) != e0
| op(e4,op(e4,e2)) != e2
| op(e4,op(e4,e3)) != e3
| op(e4,op(e4,e4)) != e4
| 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
| sP27
| sP39
| sP44
| sP49
| sP9
| sP10
| sP0
| sP2
| sP4
| sP1
| sP6
| sP3
| sP7
| sP8
| sP5
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP28
| sP29
| sP30
| sP31
| sP32
| sP34
| sP33
| sP35
| sP36
| sP37
| sP38
| sP40
| sP41
| sP42
| sP43
| sP45
| sP46
| sP47
| 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 ),
inference(instantiation,[status(thm)],[35]) ).
cnf(284,plain,
( op(e0,e0) != e0
| ~ sP25 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l65,plain,
( op(e0,e0) != e0
| ~ sP25 ),
inference(instantiation,[status(thm)],[284]) ).
cnf(170,plain,
( op(e4,e2) != e1
| ~ sP47 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l28,plain,
( op(e4,e2) != e1
| ~ sP47 ),
inference(instantiation,[status(thm)],[170]) ).
fof(ax2,plain,
( op(e0,e0) = e0
& op(e0,e1) = e3
& op(e0,e2) = e4
& op(e0,e3) = e1
& op(e0,e4) = e2
& op(e1,e0) = e4
& op(e1,e1) = e1
& op(e1,e2) = e3
& op(e1,e3) = e2
& op(e1,e4) = e0
& op(e2,e0) = e1
& op(e2,e1) = e0
& op(e2,e2) = e2
& op(e2,e3) = e4
& op(e2,e4) = e3
& op(e3,e0) = e2
& op(e3,e1) = e4
& op(e3,e2) = e0
& op(e3,e3) = e3
& op(e3,e4) = e1
& op(e4,e0) = e3
& op(e4,e1) = e2
& op(e4,e2) = e1
& op(e4,e3) = e0
& op(e4,e4) = e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(10,plain,
op(e0,e0) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l51,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[10]) ).
cnf(311,plain,
( op(e4,e0) != e3
| ~ sP19 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l24,plain,
( op(e4,e0) != e3
| ~ sP19 ),
inference(instantiation,[status(thm)],[311]) ).
cnf(86,plain,
( op(e4,e3) != e0
| ~ sP64 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l23,plain,
( op(e4,e3) != e0
| ~ sP64 ),
inference(instantiation,[status(thm)],[86]) ).
cnf(276,plain,
( op(e0,e3) != e1
| ~ sP26 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l5,plain,
( op(e0,e3) != e1
| ~ sP26 ),
inference(instantiation,[status(thm)],[276]) ).
cnf(243,plain,
( op(e1,e0) != e4
| ~ sP33 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l69,plain,
( op(e1,e0) != e4
| ~ sP33 ),
inference(instantiation,[status(thm)],[243]) ).
cnf(77,plain,
( op(e4,e2) != e1
| ~ sP66 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l87,plain,
( op(e4,e2) != e1
| ~ sP66 ),
inference(instantiation,[status(thm)],[77]) ).
cnf(130,plain,
( op(e4,e3) != e0
| ~ sP55 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l113,plain,
( op(e4,e3) != e0
| ~ sP55 ),
inference(instantiation,[status(thm)],[130]) ).
cnf(18,plain,
op(e1,e3) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l255,plain,
op(e1,e3) = e2,
inference(instantiation,[status(thm)],[18]) ).
cnf(45,plain,
( op(e4,e4) != e4
| ~ sP72 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l108,plain,
( op(e4,e4) != e4
| ~ sP72 ),
inference(instantiation,[status(thm)],[45]) ).
cnf(258,plain,
( op(e0,e1) != e3
| ~ sP30 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l52,plain,
( op(e0,e1) != e3
| ~ sP30 ),
inference(instantiation,[status(thm)],[258]) ).
cnf(30,plain,
op(e4,e0) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l238,plain,
op(e4,e0) = e3,
inference(instantiation,[status(thm)],[30]) ).
cnf(179,plain,
( op(e2,e0) != e1
| ~ sP46 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l138,plain,
( op(e2,e0) != e1
| ~ sP46 ),
inference(instantiation,[status(thm)],[179]) ).
cnf(12,plain,
op(e0,e2) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l137,plain,
op(e0,e2) = e4,
inference(instantiation,[status(thm)],[12]) ).
cnf(146,plain,
( op(e2,e3) != e4
| ~ sP52 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l119,plain,
( op(e2,e3) != e4
| ~ sP52 ),
inference(instantiation,[status(thm)],[146]) ).
cnf(265,plain,
( op(e0,e4) != e2
| ~ sP28 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l58,plain,
( op(e0,e4) != e2
| ~ sP28 ),
inference(instantiation,[status(thm)],[265]) ).
cnf(19,plain,
op(e1,e4) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l43,plain,
op(e1,e4) = e0,
inference(instantiation,[status(thm)],[19]) ).
cnf(33,plain,
op(e4,e3) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l151,plain,
op(e4,e3) = e0,
inference(instantiation,[status(thm)],[33]) ).
cnf(290,plain,
( op(e4,e4) != e4
| ~ sP23 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l3,plain,
( op(e4,e4) != e4
| ~ sP23 ),
inference(instantiation,[status(thm)],[290]) ).
cnf(l30,plain,
op(e4,e3) = e0,
inference(instantiation,[status(thm)],[33]) ).
cnf(137,plain,
( op(e3,e2) != e0
| ~ sP54 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l101,plain,
( op(e3,e2) != e0
| ~ sP54 ),
inference(instantiation,[status(thm)],[137]) ).
cnf(68,plain,
( op(e4,e1) != e2
| ~ sP68 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l197,plain,
( op(e4,e1) != e2
| ~ sP68 ),
inference(instantiation,[status(thm)],[68]) ).
cnf(101,plain,
( op(e3,e3) != e3
| ~ sP61 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l19,plain,
( op(e3,e3) != e3
| ~ sP61 ),
inference(instantiation,[status(thm)],[101]) ).
cnf(14,plain,
op(e0,e4) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l374,plain,
op(e0,e4) = e2,
inference(instantiation,[status(thm)],[14]) ).
cnf(383,plain,
( op(e1,e1) != e1
| ~ sP5 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l49,plain,
( op(e1,e1) != e1
| ~ sP5 ),
inference(instantiation,[status(thm)],[383]) ).
cnf(11,plain,
op(e0,e1) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l217,plain,
op(e0,e1) = e3,
inference(instantiation,[status(thm)],[11]) ).
cnf(216,plain,
( op(e1,e3) != e2
| ~ sP38 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l71,plain,
( op(e1,e3) != e2
| ~ sP38 ),
inference(instantiation,[status(thm)],[216]) ).
cnf(400,plain,
( op(e0,e2) != e4
| ~ sP1 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l50,plain,
( op(e0,e2) != e4
| ~ sP1 ),
inference(instantiation,[status(thm)],[400]) ).
cnf(337,plain,
( op(e3,e0) != e2
| ~ sP14 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l261,plain,
( op(e3,e0) != e2
| ~ sP14 ),
inference(instantiation,[status(thm)],[337]) ).
cnf(34,plain,
op(e4,e4) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l150,plain,
op(e4,e4) = e4,
inference(instantiation,[status(thm)],[34]) ).
cnf(398,plain,
( op(e0,e3) != e1
| ~ sP2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l82,plain,
( op(e0,e3) != e1
| ~ sP2 ),
inference(instantiation,[status(thm)],[398]) ).
cnf(27,plain,
op(e3,e2) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l111,plain,
op(e3,e2) = e0,
inference(instantiation,[status(thm)],[27]) ).
cnf(125,plain,
( op(e3,e4) != e1
| ~ sP56 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l178,plain,
( op(e3,e4) != e1
| ~ sP56 ),
inference(instantiation,[status(thm)],[125]) ).
cnf(223,plain,
( op(e1,e1) != e1
| ~ sP37 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l169,plain,
( op(e1,e1) != e1
| ~ sP37 ),
inference(instantiation,[status(thm)],[223]) ).
cnf(17,plain,
op(e1,e2) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l202,plain,
op(e1,e2) = e3,
inference(instantiation,[status(thm)],[17]) ).
cnf(29,plain,
op(e3,e4) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l194,plain,
op(e3,e4) = e1,
inference(instantiation,[status(thm)],[29]) ).
cnf(167,plain,
( op(e2,e2) != e2
| ~ sP48 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l9,plain,
( op(e2,e2) != e2
| ~ sP48 ),
inference(instantiation,[status(thm)],[167]) ).
cnf(15,plain,
op(e1,e0) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l81,plain,
op(e1,e0) = e4,
inference(instantiation,[status(thm)],[15]) ).
cnf(235,plain,
( op(e1,e4) != e0
| ~ sP34 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l83,plain,
( op(e1,e4) != e0
| ~ sP34 ),
inference(instantiation,[status(thm)],[235]) ).
cnf(299,plain,
( op(e4,e3) != e0
| ~ sP22 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l318,plain,
( op(e4,e3) != e0
| ~ sP22 ),
inference(instantiation,[status(thm)],[299]) ).
cnf(204,plain,
( op(e0,e1) != e3
| ~ sP41 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l256,plain,
( op(e0,e1) != e3
| ~ sP41 ),
inference(instantiation,[status(thm)],[204]) ).
cnf(l289,plain,
op(e0,e2) = e4,
inference(instantiation,[status(thm)],[12]) ).
cnf(l39,plain,
op(e4,e4) = e4,
inference(instantiation,[status(thm)],[34]) ).
cnf(124,plain,
( op(e0,e3) != e1
| ~ sP57 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l156,plain,
( op(e0,e3) != e1
| ~ sP57 ),
inference(instantiation,[status(thm)],[124]) ).
cnf(26,plain,
op(e3,e1) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l543,plain,
op(e3,e1) = e4,
inference(instantiation,[status(thm)],[26]) ).
cnf(210,plain,
( op(e4,e1) != e2
| ~ sP39 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l94,plain,
( op(e4,e1) != e2
| ~ sP39 ),
inference(instantiation,[status(thm)],[210]) ).
cnf(l313,plain,
op(e0,e2) = e4,
inference(instantiation,[status(thm)],[12]) ).
cnf(31,plain,
op(e4,e1) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l304,plain,
op(e4,e1) = e2,
inference(instantiation,[status(thm)],[31]) ).
cnf(341,plain,
( op(e2,e4) != e3
| ~ sP13 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l66,plain,
( op(e2,e4) != e3
| ~ sP13 ),
inference(instantiation,[status(thm)],[341]) ).
cnf(40,plain,
( op(e4,e4) != e4
| ~ sP73 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l172,plain,
( op(e4,e4) != e4
| ~ sP73 ),
inference(instantiation,[status(thm)],[40]) ).
cnf(352,plain,
( op(e2,e2) != e2
| ~ sP11 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l245,plain,
( op(e2,e2) != e2
| ~ sP11 ),
inference(instantiation,[status(thm)],[352]) ).
cnf(385,plain,
( op(e1,e0) != e4
| ~ sP4 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l63,plain,
( op(e1,e0) != e4
| ~ sP4 ),
inference(instantiation,[status(thm)],[385]) ).
cnf(144,plain,
( op(e0,e2) != e4
| ~ sP53 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l131,plain,
( op(e0,e2) != e4
| ~ sP53 ),
inference(instantiation,[status(thm)],[144]) ).
cnf(l435,plain,
op(e3,e2) = e0,
inference(instantiation,[status(thm)],[27]) ).
cnf(330,plain,
( op(e3,e1) != e4
| ~ sP15 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l73,plain,
( op(e3,e1) != e4
| ~ sP15 ),
inference(instantiation,[status(thm)],[330]) ).
cnf(21,plain,
op(e2,e1) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l339,plain,
op(e2,e1) = e0,
inference(instantiation,[status(thm)],[21]) ).
cnf(l446,plain,
op(e4,e1) = e2,
inference(instantiation,[status(thm)],[31]) ).
cnf(l122,plain,
op(e4,e1) = e2,
inference(instantiation,[status(thm)],[31]) ).
cnf(98,plain,
( op(e3,e1) != e4
| ~ sP62 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l45,plain,
( op(e3,e1) != e4
| ~ sP62 ),
inference(instantiation,[status(thm)],[98]) ).
cnf(l369,plain,
op(e0,e4) = e2,
inference(instantiation,[status(thm)],[14]) ).
cnf(24,plain,
op(e2,e4) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l287,plain,
op(e2,e4) = e3,
inference(instantiation,[status(thm)],[24]) ).
cnf(16,plain,
op(e1,e1) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l348,plain,
op(e1,e1) = e1,
inference(instantiation,[status(thm)],[16]) ).
cnf(318,plain,
( op(e3,e4) != e1
| ~ sP18 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l47,plain,
( op(e3,e4) != e1
| ~ sP18 ),
inference(instantiation,[status(thm)],[318]) ).
cnf(261,plain,
( op(e3,e0) != e2
| ~ sP29 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l89,plain,
( op(e3,e0) != e2
| ~ sP29 ),
inference(instantiation,[status(thm)],[261]) ).
cnf(329,plain,
( op(e3,e2) != e0
| ~ sP16 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l107,plain,
( op(e3,e2) != e0
| ~ sP16 ),
inference(instantiation,[status(thm)],[329]) ).
cnf(20,plain,
op(e2,e0) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l251,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(372,plain,
( op(e1,e3) != e2
| ~ sP7 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l116,plain,
( op(e1,e3) != e2
| ~ sP7 ),
inference(instantiation,[status(thm)],[372]) ).
cnf(l503,plain,
op(e2,e1) = e0,
inference(instantiation,[status(thm)],[21]) ).
cnf(l316,plain,
op(e3,e4) = e1,
inference(instantiation,[status(thm)],[29]) ).
cnf(28,plain,
op(e3,e3) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l31,plain,
op(e3,e3) = e3,
inference(instantiation,[status(thm)],[28]) ).
cnf(22,plain,
op(e2,e2) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l296,plain,
op(e2,e2) = e2,
inference(instantiation,[status(thm)],[22]) ).
cnf(l314,plain,
op(e1,e1) = e1,
inference(instantiation,[status(thm)],[16]) ).
cnf(l437,plain,
op(e1,e3) = e2,
inference(instantiation,[status(thm)],[18]) ).
cnf(l353,plain,
op(e3,e4) = e1,
inference(instantiation,[status(thm)],[29]) ).
cnf(32,plain,
op(e4,e2) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l247,plain,
op(e4,e2) = e1,
inference(instantiation,[status(thm)],[32]) ).
cnf(l358,plain,
op(e0,e2) = e4,
inference(instantiation,[status(thm)],[12]) ).
cnf(376,plain,
( op(e1,e2) != e3
| ~ sP6 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l75,plain,
( op(e1,e2) != e3
| ~ sP6 ),
inference(instantiation,[status(thm)],[376]) ).
cnf(l271,plain,
op(e0,e1) = e3,
inference(instantiation,[status(thm)],[11]) ).
cnf(l232,plain,
op(e3,e2) = e0,
inference(instantiation,[status(thm)],[27]) ).
cnf(l92,plain,
op(e1,e0) = e4,
inference(instantiation,[status(thm)],[15]) ).
cnf(181,plain,
( op(e3,e2) != e0
| ~ sP45 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l10,plain,
( op(e3,e2) != e0
| ~ sP45 ),
inference(instantiation,[status(thm)],[181]) ).
cnf(l366,plain,
op(e4,e2) = e1,
inference(instantiation,[status(thm)],[32]) ).
cnf(l79,plain,
op(e1,e4) = e0,
inference(instantiation,[status(thm)],[19]) ).
cnf(13,plain,
op(e0,e3) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l59,plain,
op(e0,e3) = e1,
inference(instantiation,[status(thm)],[13]) ).
cnf(l338,plain,
op(e4,e3) = e0,
inference(instantiation,[status(thm)],[33]) ).
cnf(l176,plain,
op(e1,e3) = e2,
inference(instantiation,[status(thm)],[18]) ).
cnf(l319,plain,
op(e4,e2) = e1,
inference(instantiation,[status(thm)],[32]) ).
cnf(l373,plain,
op(e3,e2) = e0,
inference(instantiation,[status(thm)],[27]) ).
cnf(l189,plain,
op(e3,e1) = e4,
inference(instantiation,[status(thm)],[26]) ).
cnf(l534,plain,
op(e2,e1) = e0,
inference(instantiation,[status(thm)],[21]) ).
cnf(232,plain,
( op(e2,e1) != e0
| ~ sP35 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l12,plain,
( op(e2,e1) != e0
| ~ sP35 ),
inference(instantiation,[status(thm)],[232]) ).
cnf(228,plain,
( op(e1,e1) != e1
| ~ sP36 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l103,plain,
( op(e1,e1) != e1
| ~ sP36 ),
inference(instantiation,[status(thm)],[228]) ).
cnf(25,plain,
op(e3,e0) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l385,plain,
op(e3,e0) = e2,
inference(instantiation,[status(thm)],[25]) ).
cnf(l305,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(307,plain,
( op(e4,e1) != e2
| ~ sP20 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l95,plain,
( op(e4,e1) != e2
| ~ sP20 ),
inference(instantiation,[status(thm)],[307]) ).
cnf(l484,plain,
op(e1,e1) = e1,
inference(instantiation,[status(thm)],[16]) ).
cnf(l264,plain,
op(e4,e2) = e1,
inference(instantiation,[status(thm)],[32]) ).
cnf(l362,plain,
op(e3,e0) = e2,
inference(instantiation,[status(thm)],[25]) ).
cnf(l90,plain,
op(e1,e4) = e0,
inference(instantiation,[status(thm)],[19]) ).
cnf(l96,plain,
op(e1,e2) = e3,
inference(instantiation,[status(thm)],[17]) ).
cnf(l328,plain,
op(e0,e3) = e1,
inference(instantiation,[status(thm)],[13]) ).
cnf(321,plain,
( op(e3,e3) != e3
| ~ sP17 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l163,plain,
( op(e3,e3) != e3
| ~ sP17 ),
inference(instantiation,[status(thm)],[321]) ).
cnf(303,plain,
( op(e4,e2) != e1
| ~ sP21 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l99,plain,
( op(e4,e2) != e1
| ~ sP21 ),
inference(instantiation,[status(thm)],[303]) ).
cnf(l480,plain,
op(e1,e1) = e1,
inference(instantiation,[status(thm)],[16]) ).
cnf(247,plain,
( op(e0,e2) != e4
| ~ sP32 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l40,plain,
( op(e0,e2) != e4
| ~ sP32 ),
inference(instantiation,[status(thm)],[247]) ).
cnf(l430,plain,
op(e4,e0) = e3,
inference(instantiation,[status(thm)],[30]) ).
cnf(l115,plain,
op(e0,e3) = e1,
inference(instantiation,[status(thm)],[13]) ).
cnf(59,plain,
( op(e4,e0) != e3
| ~ sP70 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l170,plain,
( op(e4,e0) != e3
| ~ sP70 ),
inference(instantiation,[status(thm)],[59]) ).
cnf(l240,plain,
op(e1,e2) = e3,
inference(instantiation,[status(thm)],[17]) ).
cnf(l281,plain,
op(e4,e2) = e1,
inference(instantiation,[status(thm)],[32]) ).
cnf(l429,plain,
op(e1,e0) = e4,
inference(instantiation,[status(thm)],[15]) ).
cnf(l441,plain,
op(e0,e4) = e2,
inference(instantiation,[status(thm)],[14]) ).
cnf(92,plain,
( op(e2,e3) != e4
| ~ sP63 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l84,plain,
( op(e2,e3) != e4
| ~ sP63 ),
inference(instantiation,[status(thm)],[92]) ).
cnf(l274,plain,
op(e3,e0) = e2,
inference(instantiation,[status(thm)],[25]) ).
cnf(l239,plain,
op(e4,e1) = e2,
inference(instantiation,[status(thm)],[31]) ).
cnf(l182,plain,
op(e4,e4) = e4,
inference(instantiation,[status(thm)],[34]) ).
cnf(l193,plain,
op(e4,e4) = e4,
inference(instantiation,[status(thm)],[34]) ).
cnf(l157,plain,
op(e1,e3) = e2,
inference(instantiation,[status(thm)],[18]) ).
cnf(l309,plain,
op(e4,e2) = e1,
inference(instantiation,[status(thm)],[32]) ).
cnf(l423,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[10]) ).
cnf(l384,plain,
op(e4,e2) = e1,
inference(instantiation,[status(thm)],[32]) ).
cnf(155,plain,
( op(e2,e4) != e3
| ~ sP50 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l70,plain,
( op(e2,e4) != e3
| ~ sP50 ),
inference(instantiation,[status(thm)],[155]) ).
cnf(l168,plain,
op(e3,e1) = e4,
inference(instantiation,[status(thm)],[26]) ).
cnf(272,plain,
( op(e2,e0) != e1
| ~ sP27 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l249,plain,
( op(e2,e0) != e1
| ~ sP27 ),
inference(instantiation,[status(thm)],[272]) ).
cnf(l267,plain,
op(e1,e1) = e1,
inference(instantiation,[status(thm)],[16]) ).
cnf(l341,plain,
op(e1,e0) = e4,
inference(instantiation,[status(thm)],[15]) ).
cnf(52,plain,
( op(e2,e4) != e3
| ~ sP71 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l17,plain,
( op(e2,e4) != e3
| ~ sP71 ),
inference(instantiation,[status(thm)],[52]) ).
cnf(l438,plain,
op(e3,e1) = e4,
inference(instantiation,[status(thm)],[26]) ).
cnf(l222,plain,
op(e1,e3) = e2,
inference(instantiation,[status(thm)],[18]) ).
cnf(l60,plain,
op(e2,e2) = e2,
inference(instantiation,[status(thm)],[22]) ).
cnf(l280,plain,
op(e2,e4) = e3,
inference(instantiation,[status(thm)],[24]) ).
cnf(250,plain,
( op(e4,e0) != e3
| ~ sP31 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l33,plain,
( op(e4,e0) != e3
| ~ sP31 ),
inference(instantiation,[status(thm)],[250]) ).
cnf(l132,plain,
op(e3,e0) = e2,
inference(instantiation,[status(thm)],[25]) ).
cnf(l403,plain,
op(e1,e2) = e3,
inference(instantiation,[status(thm)],[17]) ).
cnf(l207,plain,
op(e0,e1) = e3,
inference(instantiation,[status(thm)],[11]) ).
cnf(363,plain,
( op(e2,e0) != e1
| ~ sP9 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l55,plain,
( op(e2,e0) != e1
| ~ sP9 ),
inference(instantiation,[status(thm)],[363]) ).
cnf(l192,plain,
op(e2,e4) = e3,
inference(instantiation,[status(thm)],[24]) ).
cnf(359,plain,
( op(e2,e1) != e0
| ~ sP10 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l100,plain,
( op(e2,e1) != e0
| ~ sP10 ),
inference(instantiation,[status(thm)],[359]) ).
cnf(392,plain,
( op(e0,e4) != e2
| ~ sP3 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l32,plain,
( op(e0,e4) != e2
| ~ sP3 ),
inference(instantiation,[status(thm)],[392]) ).
cnf(l514,plain,
op(e0,e1) = e3,
inference(instantiation,[status(thm)],[11]) ).
cnf(153,plain,
( op(e1,e2) != e3
| ~ sP51 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l74,plain,
( op(e1,e2) != e3
| ~ sP51 ),
inference(instantiation,[status(thm)],[153]) ).
cnf(l159,plain,
op(e2,e1) = e0,
inference(instantiation,[status(thm)],[21]) ).
cnf(l351,plain,
op(e4,e0) = e3,
inference(instantiation,[status(thm)],[30]) ).
cnf(l472,plain,
op(e2,e2) = e2,
inference(instantiation,[status(thm)],[22]) ).
cnf(l162,plain,
op(e0,e4) = e2,
inference(instantiation,[status(thm)],[14]) ).
cnf(l467,plain,
op(e0,e4) = e2,
inference(instantiation,[status(thm)],[14]) ).
cnf(l505,plain,
op(e4,e0) = e3,
inference(instantiation,[status(thm)],[30]) ).
cnf(l389,plain,
op(e3,e3) = e3,
inference(instantiation,[status(thm)],[28]) ).
cnf(l124,plain,
op(e3,e4) = e1,
inference(instantiation,[status(thm)],[29]) ).
cnf(l144,plain,
op(e1,e1) = e1,
inference(instantiation,[status(thm)],[16]) ).
cnf(l242,plain,
op(e3,e0) = e2,
inference(instantiation,[status(thm)],[25]) ).
cnf(l436,plain,
op(e3,e0) = e2,
inference(instantiation,[status(thm)],[25]) ).
cnf(23,plain,
op(e2,e3) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l376,plain,
op(e2,e3) = e4,
inference(instantiation,[status(thm)],[23]) ).
cnf(l320,plain,
op(e2,e1) = e0,
inference(instantiation,[status(thm)],[21]) ).
cnf(l399,plain,
op(e0,e2) = e4,
inference(instantiation,[status(thm)],[12]) ).
cnf(162,plain,
( op(e2,e2) != e2
| ~ sP49 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l14,plain,
( op(e2,e2) != e2
| ~ sP49 ),
inference(instantiation,[status(thm)],[162]) ).
cnf(l440,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(l142,plain,
op(e2,e4) = e3,
inference(instantiation,[status(thm)],[24]) ).
cnf(l234,plain,
op(e2,e2) = e2,
inference(instantiation,[status(thm)],[22]) ).
cnf(l335,plain,
op(e3,e3) = e3,
inference(instantiation,[status(thm)],[28]) ).
cnf(l458,plain,
op(e3,e2) = e0,
inference(instantiation,[status(thm)],[27]) ).
cnf(l21,plain,
op(e3,e2) = e0,
inference(instantiation,[status(thm)],[27]) ).
cnf(l342,plain,
op(e1,e4) = e0,
inference(instantiation,[status(thm)],[19]) ).
cnf(l250,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(l519,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[10]) ).
cnf(l444,plain,
op(e3,e2) = e0,
inference(instantiation,[status(thm)],[27]) ).
cnf(l183,plain,
op(e3,e1) = e4,
inference(instantiation,[status(thm)],[26]) ).
cnf(l109,plain,
op(e2,e1) = e0,
inference(instantiation,[status(thm)],[21]) ).
cnf(l300,plain,
op(e4,e1) = e2,
inference(instantiation,[status(thm)],[31]) ).
cnf(l454,plain,
op(e0,e2) = e4,
inference(instantiation,[status(thm)],[12]) ).
cnf(l127,plain,
op(e3,e4) = e1,
inference(instantiation,[status(thm)],[29]) ).
cnf(l199,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(l345,plain,
op(e2,e2) = e2,
inference(instantiation,[status(thm)],[22]) ).
cnf(406,plain,
( op(e0,e1) != e3
| ~ sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l29,plain,
( op(e0,e1) != e3
| ~ sP0 ),
inference(instantiation,[status(thm)],[406]) ).
cnf(l244,plain,
op(e4,e0) = e3,
inference(instantiation,[status(thm)],[30]) ).
cnf(106,plain,
( op(e3,e3) != e3
| ~ sP60 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l36,plain,
( op(e3,e3) != e3
| ~ sP60 ),
inference(instantiation,[status(thm)],[106]) ).
cnf(83,plain,
( op(e1,e4) != e0
| ~ sP65 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l177,plain,
( op(e1,e4) != e0
| ~ sP65 ),
inference(instantiation,[status(thm)],[83]) ).
cnf(l485,plain,
op(e4,e3) = e0,
inference(instantiation,[status(thm)],[33]) ).
cnf(l475,plain,
op(e2,e2) = e2,
inference(instantiation,[status(thm)],[22]) ).
cnf(l117,plain,
op(e2,e2) = e2,
inference(instantiation,[status(thm)],[22]) ).
cnf(l413,plain,
op(e4,e3) = e0,
inference(instantiation,[status(thm)],[33]) ).
cnf(l581,plain,
op(e4,e3) = e0,
inference(instantiation,[status(thm)],[33]) ).
cnf(l110,plain,
op(e4,e0) = e3,
inference(instantiation,[status(thm)],[30]) ).
cnf(l259,plain,
op(e1,e4) = e0,
inference(instantiation,[status(thm)],[19]) ).
cnf(l46,plain,
op(e3,e1) = e4,
inference(instantiation,[status(thm)],[26]) ).
cnf(l511,plain,
op(e3,e2) = e0,
inference(instantiation,[status(thm)],[27]) ).
cnf(l186,plain,
op(e3,e3) = e3,
inference(instantiation,[status(thm)],[28]) ).
cnf(l227,plain,
op(e0,e1) = e3,
inference(instantiation,[status(thm)],[11]) ).
cnf(l266,plain,
op(e0,e3) = e1,
inference(instantiation,[status(thm)],[13]) ).
cnf(l112,plain,
op(e1,e2) = e3,
inference(instantiation,[status(thm)],[17]) ).
cnf(l285,plain,
op(e4,e4) = e4,
inference(instantiation,[status(thm)],[34]) ).
cnf(l350,plain,
op(e3,e3) = e3,
inference(instantiation,[status(thm)],[28]) ).
cnf(l241,plain,
op(e1,e0) = e4,
inference(instantiation,[status(thm)],[15]) ).
cnf(l588,plain,
op(e4,e1) = e2,
inference(instantiation,[status(thm)],[31]) ).
cnf(l512,plain,
op(e1,e1) = e1,
inference(instantiation,[status(thm)],[16]) ).
cnf(l401,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(188,plain,
( op(e2,e1) != e0
| ~ sP44 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l72,plain,
( op(e2,e1) != e0
| ~ sP44 ),
inference(instantiation,[status(thm)],[188]) ).
cnf(l326,plain,
op(e4,e4) = e4,
inference(instantiation,[status(thm)],[34]) ).
cnf(l450,plain,
op(e4,e2) = e1,
inference(instantiation,[status(thm)],[32]) ).
cnf(l445,plain,
op(e2,e4) = e3,
inference(instantiation,[status(thm)],[24]) ).
cnf(l134,plain,
op(e2,e3) = e4,
inference(instantiation,[status(thm)],[23]) ).
cnf(345,plain,
( op(e2,e3) != e4
| ~ sP12 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l57,plain,
( op(e2,e3) != e4
| ~ sP12 ),
inference(instantiation,[status(thm)],[345]) ).
cnf(l370,plain,
op(e0,e3) = e1,
inference(instantiation,[status(thm)],[13]) ).
cnf(l257,plain,
op(e2,e4) = e3,
inference(instantiation,[status(thm)],[24]) ).
cnf(l171,plain,
op(e2,e2) = e2,
inference(instantiation,[status(thm)],[22]) ).
cnf(113,plain,
( op(e1,e3) != e2
| ~ sP59 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l148,plain,
( op(e1,e3) != e2
| ~ sP59 ),
inference(instantiation,[status(thm)],[113]) ).
cnf(l382,plain,
op(e2,e4) = e3,
inference(instantiation,[status(thm)],[24]) ).
cnf(289,plain,
( op(e0,e0) != e0
| ~ sP24 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l97,plain,
( op(e0,e0) != e0
| ~ sP24 ),
inference(instantiation,[status(thm)],[289]) ).
cnf(l225,plain,
op(e3,e0) = e2,
inference(instantiation,[status(thm)],[25]) ).
cnf(l357,plain,
op(e1,e3) = e2,
inference(instantiation,[status(thm)],[18]) ).
cnf(l368,plain,
op(e0,e4) = e2,
inference(instantiation,[status(thm)],[14]) ).
cnf(l334,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[10]) ).
cnf(l143,plain,
op(e1,e0) = e4,
inference(instantiation,[status(thm)],[15]) ).
cnf(l576,plain,
op(e0,e3) = e1,
inference(instantiation,[status(thm)],[13]) ).
cnf(l312,plain,
op(e2,e3) = e4,
inference(instantiation,[status(thm)],[23]) ).
cnf(l68,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[10]) ).
cnf(l212,plain,
op(e0,e1) = e3,
inference(instantiation,[status(thm)],[11]) ).
cnf(l554,plain,
op(e4,e3) = e0,
inference(instantiation,[status(thm)],[33]) ).
cnf(199,plain,
( op(e1,e0) != e4
| ~ sP42 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l140,plain,
( op(e1,e0) != e4
| ~ sP42 ),
inference(instantiation,[status(thm)],[199]) ).
cnf(l420,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(l205,plain,
op(e0,e2) = e4,
inference(instantiation,[status(thm)],[12]) ).
cnf(l459,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(l311,plain,
op(e4,e1) = e2,
inference(instantiation,[status(thm)],[31]) ).
cnf(l569,plain,
op(e0,e2) = e4,
inference(instantiation,[status(thm)],[12]) ).
cnf(l468,plain,
op(e1,e4) = e0,
inference(instantiation,[status(thm)],[19]) ).
cnf(207,plain,
( op(e1,e2) != e3
| ~ sP40 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l114,plain,
( op(e1,e2) != e3
| ~ sP40 ),
inference(instantiation,[status(thm)],[207]) ).
cnf(64,plain,
( op(e0,e4) != e2
| ~ sP69 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l16,plain,
( op(e0,e4) != e2
| ~ sP69 ),
inference(instantiation,[status(thm)],[64]) ).
cnf(l158,plain,
op(e1,e0) = e4,
inference(instantiation,[status(thm)],[15]) ).
cnf(l136,plain,
op(e4,e1) = e2,
inference(instantiation,[status(thm)],[31]) ).
cnf(l608,plain,
op(e0,e1) = e3,
inference(instantiation,[status(thm)],[11]) ).
cnf(l269,plain,
op(e4,e4) = e4,
inference(instantiation,[status(thm)],[34]) ).
cnf(l133,plain,
op(e1,e2) = e3,
inference(instantiation,[status(thm)],[17]) ).
cnf(191,plain,
( op(e3,e1) != e4
| ~ sP43 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l149,plain,
( op(e3,e1) != e4
| ~ sP43 ),
inference(instantiation,[status(thm)],[191]) ).
cnf(l378,plain,
op(e0,e4) = e2,
inference(instantiation,[status(thm)],[14]) ).
cnf(l85,plain,
op(e2,e1) = e0,
inference(instantiation,[status(thm)],[21]) ).
cnf(l363,plain,
op(e4,e4) = e4,
inference(instantiation,[status(thm)],[34]) ).
cnf(l53,plain,
op(e0,e4) = e2,
inference(instantiation,[status(thm)],[14]) ).
cnf(l276,plain,
op(e1,e0) = e4,
inference(instantiation,[status(thm)],[15]) ).
cnf(l415,plain,
op(e3,e3) = e3,
inference(instantiation,[status(thm)],[28]) ).
cnf(119,plain,
( op(e3,e0) != e2
| ~ sP58 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l104,plain,
( op(e3,e0) != e2
| ~ sP58 ),
inference(instantiation,[status(thm)],[119]) ).
cnf(l243,plain,
op(e2,e3) = e4,
inference(instantiation,[status(thm)],[23]) ).
cnf(l329,plain,
op(e2,e3) = e4,
inference(instantiation,[status(thm)],[23]) ).
cnf(l185,plain,
op(e1,e2) = e3,
inference(instantiation,[status(thm)],[17]) ).
cnf(l483,plain,
op(e3,e1) = e4,
inference(instantiation,[status(thm)],[26]) ).
cnf(l62,plain,
op(e2,e3) = e4,
inference(instantiation,[status(thm)],[23]) ).
cnf(l233,plain,
op(e4,e0) = e3,
inference(instantiation,[status(thm)],[30]) ).
cnf(l299,plain,
op(e3,e3) = e3,
inference(instantiation,[status(thm)],[28]) ).
cnf(l466,plain,
op(e2,e4) = e3,
inference(instantiation,[status(thm)],[24]) ).
cnf(l486,plain,
op(e0,e3) = e1,
inference(instantiation,[status(thm)],[13]) ).
cnf(71,plain,
( op(e3,e4) != e1
| ~ sP67 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l86,plain,
( op(e3,e4) != e1
| ~ sP67 ),
inference(instantiation,[status(thm)],[71]) ).
cnf(l288,plain,
op(e3,e1) = e4,
inference(instantiation,[status(thm)],[26]) ).
cnf(l522,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[10]) ).
cnf(l464,plain,
op(e2,e3) = e4,
inference(instantiation,[status(thm)],[23]) ).
cnf(l549,plain,
op(e3,e3) = e3,
inference(instantiation,[status(thm)],[28]) ).
cnf(l482,plain,
op(e3,e4) = e1,
inference(instantiation,[status(thm)],[29]) ).
cnf(l541,plain,
op(e1,e2) = e3,
inference(instantiation,[status(thm)],[17]) ).
cnf(l349,plain,
op(e1,e4) = e0,
inference(instantiation,[status(thm)],[19]) ).
cnf(l200,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[10]) ).
cnf(l191,plain,
op(e3,e4) = e1,
inference(instantiation,[status(thm)],[29]) ).
cnf(l310,plain,
op(e4,e0) = e3,
inference(instantiation,[status(thm)],[30]) ).
cnf(369,plain,
( op(e1,e4) != e0
| ~ sP8 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l20,plain,
( op(e1,e4) != e0
| ~ sP8 ),
inference(instantiation,[status(thm)],[369]) ).
cnf(l317,plain,
op(e2,e1) = e0,
inference(instantiation,[status(thm)],[21]) ).
cnf(l324,plain,
op(e1,e4) = e0,
inference(instantiation,[status(thm)],[19]) ).
cnf(l231,plain,
op(e4,e3) = e0,
inference(instantiation,[status(thm)],[33]) ).
cnf(l443,plain,
op(e0,e1) = e3,
inference(instantiation,[status(thm)],[11]) ).
cnf(l570,plain,
op(e1,e1) = e1,
inference(instantiation,[status(thm)],[16]) ).
cnf(l521,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[10]) ).
cnf(l302,plain,
op(e3,e4) = e1,
inference(instantiation,[status(thm)],[29]) ).
cnf(l488,plain,
op(e1,e3) = e2,
inference(instantiation,[status(thm)],[18]) ).
cnf(l198,plain,
op(e3,e0) = e2,
inference(instantiation,[status(thm)],[25]) ).
cnf(l506,plain,
op(e2,e3) = e4,
inference(instantiation,[status(thm)],[23]) ).
cnf(l515,plain,
op(e1,e3) = e2,
inference(instantiation,[status(thm)],[18]) ).
cnf(l327,plain,
op(e0,e3) = e1,
inference(instantiation,[status(thm)],[13]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l65,l28,l51,l24,l23,l5,l69,l87,l113,l255,l108,l52,l238,l138,l137,l119,l58,l43,l151,l3,l30,l101,l197,l19,l374,l49,l217,l71,l50,l261,l150,l82,l111,l178,l169,l202,l194,l9,l81,l83,l318,l256,l289,l39,l156,l543,l94,l313,l304,l66,l172,l245,l63,l131,l435,l73,l339,l446,l122,l45,l369,l287,l348,l47,l89,l107,l251,l116,l503,l316,l31,l296,l314,l437,l353,l247,l358,l75,l271,l232,l92,l10,l366,l79,l59,l338,l176,l319,l373,l189,l534,l12,l103,l385,l305,l95,l484,l264,l362,l90,l96,l328,l163,l99,l480,l40,l430,l115,l170,l240,l281,l429,l441,l84,l274,l239,l182,l193,l157,l309,l423,l384,l70,l168,l249,l267,l341,l17,l438,l222,l60,l280,l33,l132,l403,l207,l55,l192,l100,l32,l514,l74,l159,l351,l472,l162,l467,l505,l389,l124,l144,l242,l436,l376,l320,l399,l14,l440,l142,l234,l335,l458,l21,l342,l250,l519,l444,l183,l109,l300,l454,l127,l199,l345,l29,l244,l36,l177,l485,l475,l117,l413,l581,l110,l259,l46,l511,l186,l227,l266,l112,l285,l350,l241,l588,l512,l401,l72,l326,l450,l445,l134,l57,l370,l257,l171,l148,l382,l97,l225,l357,l368,l334,l143,l576,l312,l68,l212,l554,l140,l420,l205,l459,l311,l569,l468,l114,l16,l158,l136,l608,l269,l133,l149,l378,l85,l363,l53,l276,l415,l104,l243,l329,l185,l483,l62,l233,l299,l466,l486,l86,l288,l522,l464,l549,l482,l541,l349,l200,l191,l310,l20,l317,l324,l231,l443,l570,l521,l302,l488,l198,l506,l515,l327]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG188+1 : TPTP v9.0.0. Released v2.7.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n027.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 02:39:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % launching worker at depth: 2
% 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: 5
% 0.12/0.35 % launching worker at depth: 6
% 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: 9
% 0.12/0.38 % launching worker at depth: 10
% 68.22/8.90 % SZS status Theorem for theBenchmark
% 68.22/8.90 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------