%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ALG189+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 : n032.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 76.36s 9.91s
% Output : CNFRefutation 76.36s
% 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(op(e0,e0),e0) = e0
& op(op(e0,e1),e1) = e0
& op(op(e0,e2),e2) = e0
& op(op(e0,e3),e3) = e0
& op(op(e0,e4),e4) = e0
& op(op(e1,e0),e0) = e1
& op(op(e1,e1),e1) = e1
& op(op(e1,e2),e2) = e1
& op(op(e1,e3),e3) = e1
& op(op(e1,e4),e4) = e1
& op(op(e2,e0),e0) = e2
& op(op(e2,e1),e1) = e2
& op(op(e2,e2),e2) = e2
& op(op(e2,e3),e3) = e2
& op(op(e2,e4),e4) = e2
& op(op(e3,e0),e0) = e3
& op(op(e3,e1),e1) = e3
& op(op(e3,e2),e2) = e3
& op(op(e3,e3),e3) = e3
& op(op(e3,e4),e4) = e3
& op(op(e4,e0),e0) = e4
& op(op(e4,e1),e1) = e4
& op(op(e4,e2),e2) = e4
& op(op(e4,e3),e3) = e4
& op(op(e4,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(op(e0,e0),e0) = e0
& op(op(e0,e1),e1) = e0
& op(op(e0,e2),e2) = e0
& op(op(e0,e3),e3) = e0
& op(op(e0,e4),e4) = e0
& op(op(e1,e0),e0) = e1
& op(op(e1,e1),e1) = e1
& op(op(e1,e2),e2) = e1
& op(op(e1,e3),e3) = e1
& op(op(e1,e4),e4) = e1
& op(op(e2,e0),e0) = e2
& op(op(e2,e1),e1) = e2
& op(op(e2,e2),e2) = e2
& op(op(e2,e3),e3) = e2
& op(op(e2,e4),e4) = e2
& op(op(e3,e0),e0) = e3
& op(op(e3,e1),e1) = e3
& op(op(e3,e2),e2) = e3
& op(op(e3,e3),e3) = e3
& op(op(e3,e4),e4) = e3
& op(op(e4,e0),e0) = e4
& op(op(e4,e1),e1) = e4
& op(op(e4,e2),e2) = e4
& op(op(e4,e3),e3) = e4
& op(op(e4,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(e0,e0) != e0
| op(op(e1,e1),e1) != e1
| op(op(e1,e1),op(e1,e1)) != e1
| op(op(e1,e0),e0) != e1
| op(op(e1,e0),op(e0,e1)) != e0
| op(op(e1,e2),e2) != e1
| op(op(e1,e2),op(e2,e1)) != e2
| op(op(e1,e3),e3) != e1
| op(op(e1,e3),op(e3,e1)) != e3
| op(op(e1,e4),e4) != e1
| op(op(e1,e4),op(e4,e1)) != e4
| op(op(e0,e1),e1) != e0
| op(op(e0,e1),op(e1,e0)) != e1
| op(op(e0,e0),e0) != e0
| op(op(e0,e0),op(e0,e0)) != e0
| op(op(e0,e2),e2) != e0
| op(op(e0,e2),op(e2,e0)) != e2
| op(op(e0,e3),e3) != e0
| op(op(e0,e3),op(e3,e0)) != e3
| op(op(e0,e4),e4) != e0
| op(op(e0,e4),op(e4,e0)) != e4
| op(op(e2,e1),e1) != e2
| op(op(e2,e1),op(e1,e2)) != e1
| op(op(e2,e0),e0) != e2
| op(op(e2,e0),op(e0,e2)) != e0
| op(op(e2,e2),e2) != e2
| op(op(e2,e2),op(e2,e2)) != e2
| op(op(e2,e3),e3) != e2
| op(op(e2,e3),op(e3,e2)) != e3
| op(op(e2,e4),e4) != e2
| op(op(e2,e4),op(e4,e2)) != e4
| op(op(e3,e1),e1) != e3
| op(op(e3,e1),op(e1,e3)) != e1
| op(op(e3,e0),e0) != e3
| op(op(e3,e0),op(e0,e3)) != e0
| op(op(e3,e2),e2) != e3
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e3,e3),e3) != e3
| op(op(e3,e3),op(e3,e3)) != e3
| op(op(e3,e4),e4) != e3
| op(op(e3,e4),op(e4,e3)) != e4
| op(op(e4,e1),e1) != e4
| op(op(e4,e1),op(e1,e4)) != e1
| op(op(e4,e0),e0) != e4
| op(op(e4,e0),op(e0,e4)) != e0
| op(op(e4,e2),e2) != e4
| op(op(e4,e2),op(e2,e4)) != e2
| op(op(e4,e3),e3) != e4
| op(op(e4,e3),op(e3,e4)) != e3
| op(op(e4,e4),e4) != e4
| 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(e0,e0) != e0
| op(op(e1,e1),e1) != e1
| op(op(e1,e1),op(e1,e1)) != e1
| op(op(e1,e0),e0) != e1
| op(op(e1,e0),op(e0,e1)) != e0
| op(op(e1,e2),e2) != e1
| op(op(e1,e2),op(e2,e1)) != e2
| op(op(e1,e3),e3) != e1
| op(op(e1,e3),op(e3,e1)) != e3
| op(op(e1,e4),e4) != e1
| op(op(e1,e4),op(e4,e1)) != e4
| op(op(e0,e1),e1) != e0
| op(op(e0,e1),op(e1,e0)) != e1
| op(op(e0,e0),e0) != e0
| op(op(e0,e0),op(e0,e0)) != e0
| op(op(e0,e2),e2) != e0
| op(op(e0,e2),op(e2,e0)) != e2
| op(op(e0,e3),e3) != e0
| op(op(e0,e3),op(e3,e0)) != e3
| op(op(e0,e4),e4) != e0
| op(op(e0,e4),op(e4,e0)) != e4
| op(op(e2,e1),e1) != e2
| op(op(e2,e1),op(e1,e2)) != e1
| op(op(e2,e0),e0) != e2
| op(op(e2,e0),op(e0,e2)) != e0
| op(op(e2,e2),e2) != e2
| op(op(e2,e2),op(e2,e2)) != e2
| op(op(e2,e3),e3) != e2
| op(op(e2,e3),op(e3,e2)) != e3
| op(op(e2,e4),e4) != e2
| op(op(e2,e4),op(e4,e2)) != e4
| op(op(e3,e1),e1) != e3
| op(op(e3,e1),op(e1,e3)) != e1
| op(op(e3,e0),e0) != e3
| op(op(e3,e0),op(e0,e3)) != e0
| op(op(e3,e2),e2) != e3
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e3,e3),e3) != e3
| op(op(e3,e3),op(e3,e3)) != e3
| op(op(e3,e4),e4) != e3
| op(op(e3,e4),op(e4,e3)) != e4
| op(op(e4,e1),e1) != e4
| op(op(e4,e1),op(e1,e4)) != e1
| op(op(e4,e0),e0) != e4
| op(op(e4,e0),op(e0,e4)) != e0
| op(op(e4,e2),e2) != e4
| op(op(e4,e2),op(e2,e4)) != e2
| op(op(e4,e3),e3) != e4
| op(op(e4,e3),op(e3,e4)) != e3
| op(op(e4,e4),e4) != e4
| 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(352,plain,
( op(e2,e2) != e2
| ~ sP11 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l192,plain,
( op(e2,e2) != e2
| ~ sP11 ),
inference(instantiation,[status(thm)],[352]) ).
cnf(115,plain,
( op(e3,e4) != e2
| ~ sP58 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l202,plain,
( op(e3,e4) != e2
| ~ sP58 ),
inference(instantiation,[status(thm)],[115]) ).
cnf(83,plain,
( op(e1,e4) != e0
| ~ sP65 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l126,plain,
( op(e1,e4) != e0
| ~ sP65 ),
inference(instantiation,[status(thm)],[83]) ).
cnf(45,plain,
( op(e4,e4) != e4
| ~ sP72 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l120,plain,
( op(e4,e4) != e4
| ~ sP72 ),
inference(instantiation,[status(thm)],[45]) ).
cnf(120,plain,
( op(e4,e3) != e1
| ~ sP57 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l138,plain,
( op(e4,e3) != e1
| ~ sP57 ),
inference(instantiation,[status(thm)],[120]) ).
fof(ax2,plain,
( op(e0,e0) = e0
& op(e0,e1) = e3
& op(e0,e2) = e4
& op(e0,e3) = e2
& op(e0,e4) = e1
& op(e1,e0) = e2
& op(e1,e1) = e1
& op(e1,e2) = e3
& op(e1,e3) = e4
& op(e1,e4) = e0
& op(e2,e0) = e1
& op(e2,e1) = e4
& op(e2,e2) = e2
& op(e2,e3) = e0
& op(e2,e4) = e3
& op(e3,e0) = e4
& op(e3,e1) = e0
& op(e3,e2) = e1
& op(e3,e3) = e3
& op(e3,e4) = e2
& op(e4,e0) = e3
& op(e4,e1) = e2
& op(e4,e2) = e0
& op(e4,e3) = e1
& op(e4,e4) = e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(21,plain,
op(e2,e1) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l449,plain,
op(e2,e1) = e4,
inference(instantiation,[status(thm)],[21]) ).
cnf(241,plain,
( op(e3,e0) != e4
| ~ sP33 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l69,plain,
( op(e3,e0) != e4
| ~ sP33 ),
inference(instantiation,[status(thm)],[241]) ).
cnf(29,plain,
op(e3,e4) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l203,plain,
op(e3,e4) = e2,
inference(instantiation,[status(thm)],[29]) ).
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(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(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(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(68,plain,
( op(e4,e1) != e2
| ~ sP68 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l183,plain,
( op(e4,e1) != e2
| ~ sP68 ),
inference(instantiation,[status(thm)],[68]) ).
cnf(289,plain,
( op(e0,e0) != e0
| ~ sP24 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l103,plain,
( op(e0,e0) != e0
| ~ sP24 ),
inference(instantiation,[status(thm)],[289]) ).
cnf(33,plain,
op(e4,e3) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l181,plain,
op(e4,e3) = e1,
inference(instantiation,[status(thm)],[33]) ).
cnf(272,plain,
( op(e2,e0) != e1
| ~ sP27 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l174,plain,
( op(e2,e0) != e1
| ~ sP27 ),
inference(instantiation,[status(thm)],[272]) ).
cnf(397,plain,
( op(e0,e3) != e2
| ~ sP2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l82,plain,
( op(e0,e3) != e2
| ~ sP2 ),
inference(instantiation,[status(thm)],[397]) ).
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(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(13,plain,
op(e0,e3) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l111,plain,
op(e0,e3) = e2,
inference(instantiation,[status(thm)],[13]) ).
cnf(34,plain,
op(e4,e4) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l395,plain,
op(e4,e4) = e4,
inference(instantiation,[status(thm)],[34]) ).
cnf(171,plain,
( op(e3,e2) != e1
| ~ sP47 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l28,plain,
( op(e3,e2) != e1
| ~ sP47 ),
inference(instantiation,[status(thm)],[171]) ).
cnf(26,plain,
op(e3,e1) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l336,plain,
op(e3,e1) = e0,
inference(instantiation,[status(thm)],[26]) ).
cnf(l221,plain,
op(e2,e1) = e4,
inference(instantiation,[status(thm)],[21]) ).
cnf(321,plain,
( op(e3,e3) != e3
| ~ sP17 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l166,plain,
( op(e3,e3) != e3
| ~ sP17 ),
inference(instantiation,[status(thm)],[321]) ).
cnf(22,plain,
op(e2,e2) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l581,plain,
op(e2,e2) = e2,
inference(instantiation,[status(thm)],[22]) ).
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(387,plain,
( op(e1,e0) != e2
| ~ sP4 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l63,plain,
( op(e1,e0) != e2
| ~ sP4 ),
inference(instantiation,[status(thm)],[387]) ).
cnf(349,plain,
( op(e2,e3) != e0
| ~ sP12 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l57,plain,
( op(e2,e3) != e0
| ~ sP12 ),
inference(instantiation,[status(thm)],[349]) ).
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(266,plain,
( op(e0,e3) != e2
| ~ sP28 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l58,plain,
( op(e0,e3) != e2
| ~ sP28 ),
inference(instantiation,[status(thm)],[266]) ).
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(263,plain,
( op(e1,e0) != e2
| ~ sP29 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l89,plain,
( op(e1,e0) != e2
| ~ sP29 ),
inference(instantiation,[status(thm)],[263]) ).
cnf(15,plain,
op(e1,e0) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l332,plain,
op(e1,e0) = e2,
inference(instantiation,[status(thm)],[15]) ).
cnf(28,plain,
op(e3,e3) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l298,plain,
op(e3,e3) = e3,
inference(instantiation,[status(thm)],[28]) ).
cnf(11,plain,
op(e0,e1) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l267,plain,
op(e0,e1) = e3,
inference(instantiation,[status(thm)],[11]) ).
cnf(192,plain,
( op(e2,e1) != e4
| ~ sP43 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l156,plain,
( op(e2,e1) != e4
| ~ sP43 ),
inference(instantiation,[status(thm)],[192]) ).
cnf(l265,plain,
op(e0,e3) = e2,
inference(instantiation,[status(thm)],[13]) ).
cnf(l476,plain,
op(e3,e1) = e0,
inference(instantiation,[status(thm)],[26]) ).
cnf(18,plain,
op(e1,e3) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l46,plain,
op(e1,e3) = e4,
inference(instantiation,[status(thm)],[18]) ).
cnf(l139,plain,
op(e4,e3) = e1,
inference(instantiation,[status(thm)],[33]) ).
cnf(25,plain,
op(e3,e0) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l450,plain,
op(e3,e0) = e4,
inference(instantiation,[status(thm)],[25]) ).
cnf(19,plain,
op(e1,e4) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l383,plain,
op(e1,e4) = e0,
inference(instantiation,[status(thm)],[19]) ).
cnf(l349,plain,
op(e2,e1) = e4,
inference(instantiation,[status(thm)],[21]) ).
cnf(l558,plain,
op(e1,e3) = e4,
inference(instantiation,[status(thm)],[18]) ).
cnf(179,plain,
( op(e2,e0) != e1
| ~ sP46 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l127,plain,
( op(e2,e0) != e1
| ~ sP46 ),
inference(instantiation,[status(thm)],[179]) ).
cnf(74,plain,
( op(e0,e4) != e1
| ~ sP67 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l86,plain,
( op(e0,e4) != e1
| ~ sP67 ),
inference(instantiation,[status(thm)],[74]) ).
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(l513,plain,
op(e4,e4) = e4,
inference(instantiation,[status(thm)],[34]) ).
cnf(186,plain,
( op(e2,e3) != e0
| ~ sP44 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l72,plain,
( op(e2,e3) != e0
| ~ sP44 ),
inference(instantiation,[status(thm)],[186]) ).
cnf(l213,plain,
op(e3,e3) = e3,
inference(instantiation,[status(thm)],[28]) ).
cnf(12,plain,
op(e0,e2) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l324,plain,
op(e0,e2) = e4,
inference(instantiation,[status(thm)],[12]) ).
cnf(219,plain,
( op(e1,e0) != e2
| ~ sP38 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l71,plain,
( op(e1,e0) != e2
| ~ sP38 ),
inference(instantiation,[status(thm)],[219]) ).
cnf(31,plain,
op(e4,e1) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l301,plain,
op(e4,e1) = e2,
inference(instantiation,[status(thm)],[31]) ).
cnf(16,plain,
op(e1,e1) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l43,plain,
op(e1,e1) = e1,
inference(instantiation,[status(thm)],[16]) ).
cnf(93,plain,
( op(e1,e3) != e4
| ~ sP63 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l84,plain,
( op(e1,e3) != e4
| ~ sP63 ),
inference(instantiation,[status(thm)],[93]) ).
cnf(207,plain,
( op(e1,e2) != e3
| ~ sP40 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l125,plain,
( op(e1,e2) != e3
| ~ sP40 ),
inference(instantiation,[status(thm)],[207]) ).
cnf(127,plain,
( op(e3,e2) != e1
| ~ sP56 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l101,plain,
( op(e3,e2) != e1
| ~ sP56 ),
inference(instantiation,[status(thm)],[127]) ).
cnf(99,plain,
( op(e3,e0) != e4
| ~ sP62 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l45,plain,
( op(e3,e0) != e4
| ~ sP62 ),
inference(instantiation,[status(thm)],[99]) ).
cnf(334,plain,
( op(e3,e1) != e0
| ~ sP15 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l73,plain,
( op(e3,e1) != e0
| ~ sP15 ),
inference(instantiation,[status(thm)],[334]) ).
cnf(l367,plain,
op(e2,e2) = e2,
inference(instantiation,[status(thm)],[22]) ).
cnf(l448,plain,
op(e1,e1) = e1,
inference(instantiation,[status(thm)],[16]) ).
cnf(l286,plain,
op(e0,e1) = e3,
inference(instantiation,[status(thm)],[11]) ).
cnf(59,plain,
( op(e4,e0) != e3
| ~ sP70 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l182,plain,
( op(e4,e0) != e3
| ~ sP70 ),
inference(instantiation,[status(thm)],[59]) ).
cnf(23,plain,
op(e2,e3) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l364,plain,
op(e2,e3) = e0,
inference(instantiation,[status(thm)],[23]) ).
cnf(30,plain,
op(e4,e0) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l189,plain,
op(e4,e0) = e3,
inference(instantiation,[status(thm)],[30]) ).
cnf(335,plain,
( op(e3,e0) != e4
| ~ sP14 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l116,plain,
( op(e3,e0) != e4
| ~ sP14 ),
inference(instantiation,[status(thm)],[335]) ).
cnf(l249,plain,
op(e4,e0) = e3,
inference(instantiation,[status(thm)],[30]) ).
cnf(l209,plain,
op(e1,e3) = e4,
inference(instantiation,[status(thm)],[18]) ).
cnf(l173,plain,
op(e4,e0) = e3,
inference(instantiation,[status(thm)],[30]) ).
cnf(l514,plain,
op(e0,e2) = e4,
inference(instantiation,[status(thm)],[12]) ).
cnf(l278,plain,
op(e3,e0) = e4,
inference(instantiation,[status(thm)],[25]) ).
cnf(14,plain,
op(e0,e4) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l343,plain,
op(e0,e4) = e1,
inference(instantiation,[status(thm)],[14]) ).
cnf(l475,plain,
op(e0,e4) = e1,
inference(instantiation,[status(thm)],[14]) ).
cnf(l488,plain,
op(e1,e3) = e4,
inference(instantiation,[status(thm)],[18]) ).
cnf(l152,plain,
op(e1,e3) = e4,
inference(instantiation,[status(thm)],[18]) ).
cnf(27,plain,
op(e3,e2) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l444,plain,
op(e3,e2) = e1,
inference(instantiation,[status(thm)],[27]) ).
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(l31,plain,
op(e3,e3) = e3,
inference(instantiation,[status(thm)],[28]) ).
cnf(l434,plain,
op(e3,e0) = e4,
inference(instantiation,[status(thm)],[25]) ).
cnf(10,plain,
op(e0,e0) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l401,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[10]) ).
cnf(355,plain,
( op(e2,e1) != e4
| ~ sP10 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l199,plain,
( op(e2,e1) != e4
| ~ sP10 ),
inference(instantiation,[status(thm)],[355]) ).
cnf(20,plain,
op(e2,e0) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l316,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(24,plain,
op(e2,e4) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l149,plain,
op(e2,e4) = e3,
inference(instantiation,[status(thm)],[24]) ).
cnf(l619,plain,
op(e2,e2) = e2,
inference(instantiation,[status(thm)],[22]) ).
cnf(l480,plain,
op(e1,e0) = e2,
inference(instantiation,[status(thm)],[15]) ).
cnf(148,plain,
( op(e2,e1) != e4
| ~ sP52 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l131,plain,
( op(e2,e1) != e4
| ~ sP52 ),
inference(instantiation,[status(thm)],[148]) ).
cnf(180,plain,
( op(e4,e2) != e0
| ~ sP45 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l10,plain,
( op(e4,e2) != e0
| ~ sP45 ),
inference(instantiation,[status(thm)],[180]) ).
cnf(l285,plain,
op(e0,e2) = e4,
inference(instantiation,[status(thm)],[12]) ).
cnf(l440,plain,
op(e4,e3) = e1,
inference(instantiation,[status(thm)],[33]) ).
cnf(132,plain,
( op(e2,e3) != e0
| ~ sP55 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l238,plain,
( op(e2,e3) != e0
| ~ sP55 ),
inference(instantiation,[status(thm)],[132]) ).
cnf(231,plain,
( op(e3,e1) != e0
| ~ sP35 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l12,plain,
( op(e3,e1) != e0
| ~ sP35 ),
inference(instantiation,[status(thm)],[231]) ).
cnf(l430,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[10]) ).
cnf(144,plain,
( op(e0,e2) != e4
| ~ sP53 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l190,plain,
( op(e0,e2) != e4
| ~ sP53 ),
inference(instantiation,[status(thm)],[144]) ).
cnf(l439,plain,
op(e3,e0) = e4,
inference(instantiation,[status(thm)],[25]) ).
cnf(223,plain,
( op(e1,e1) != e1
| ~ sP37 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l233,plain,
( op(e1,e1) != e1
| ~ sP37 ),
inference(instantiation,[status(thm)],[223]) ).
cnf(l489,plain,
op(e4,e3) = e1,
inference(instantiation,[status(thm)],[33]) ).
cnf(l469,plain,
op(e3,e0) = e4,
inference(instantiation,[status(thm)],[25]) ).
cnf(l373,plain,
op(e4,e4) = e4,
inference(instantiation,[status(thm)],[34]) ).
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(l502,plain,
op(e4,e3) = e1,
inference(instantiation,[status(thm)],[33]) ).
cnf(393,plain,
( op(e0,e4) != e1
| ~ sP3 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l32,plain,
( op(e0,e4) != e1
| ~ sP3 ),
inference(instantiation,[status(thm)],[393]) ).
cnf(l110,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[10]) ).
cnf(l303,plain,
op(e4,e0) = e3,
inference(instantiation,[status(thm)],[30]) ).
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(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(l583,plain,
op(e1,e1) = e1,
inference(instantiation,[status(thm)],[16]) ).
cnf(l175,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(l164,plain,
op(e0,e3) = e2,
inference(instantiation,[status(thm)],[13]) ).
cnf(l388,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
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(l375,plain,
op(e3,e0) = e4,
inference(instantiation,[status(thm)],[25]) ).
cnf(l322,plain,
op(e2,e2) = e2,
inference(instantiation,[status(thm)],[22]) ).
cnf(l196,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[10]) ).
cnf(l262,plain,
op(e4,e0) = e3,
inference(instantiation,[status(thm)],[30]) ).
cnf(328,plain,
( op(e3,e2) != e1
| ~ sP16 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l146,plain,
( op(e3,e2) != e1
| ~ sP16 ),
inference(instantiation,[status(thm)],[328]) ).
cnf(l241,plain,
op(e3,e1) = e0,
inference(instantiation,[status(thm)],[26]) ).
cnf(76,plain,
( op(e4,e3) != e1
| ~ sP66 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l87,plain,
( op(e4,e3) != e1
| ~ sP66 ),
inference(instantiation,[status(thm)],[76]) ).
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(l498,plain,
op(e1,e3) = e4,
inference(instantiation,[status(thm)],[18]) ).
cnf(17,plain,
op(e1,e2) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l137,plain,
op(e1,e2) = e3,
inference(instantiation,[status(thm)],[17]) ).
cnf(l289,plain,
op(e3,e3) = e3,
inference(instantiation,[status(thm)],[28]) ).
cnf(l275,plain,
op(e2,e4) = e3,
inference(instantiation,[status(thm)],[24]) ).
cnf(l441,plain,
op(e4,e0) = e3,
inference(instantiation,[status(thm)],[30]) ).
cnf(l399,plain,
op(e3,e3) = e3,
inference(instantiation,[status(thm)],[28]) ).
cnf(l415,plain,
op(e2,e3) = e0,
inference(instantiation,[status(thm)],[23]) ).
cnf(l109,plain,
op(e0,e1) = e3,
inference(instantiation,[status(thm)],[11]) ).
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(l338,plain,
op(e0,e4) = e1,
inference(instantiation,[status(thm)],[14]) ).
cnf(l162,plain,
op(e4,e4) = e4,
inference(instantiation,[status(thm)],[34]) ).
cnf(l219,plain,
op(e1,e0) = e2,
inference(instantiation,[status(thm)],[15]) ).
cnf(298,plain,
( op(e4,e3) != e1
| ~ sP22 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l227,plain,
( op(e4,e3) != e1
| ~ sP22 ),
inference(instantiation,[status(thm)],[298]) ).
cnf(l90,plain,
op(e1,e4) = e0,
inference(instantiation,[status(thm)],[19]) ).
cnf(l321,plain,
op(e2,e1) = e4,
inference(instantiation,[status(thm)],[21]) ).
cnf(l368,plain,
op(e0,e2) = e4,
inference(instantiation,[status(thm)],[12]) ).
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(370,plain,
( op(e1,e3) != e4
| ~ sP7 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l186,plain,
( op(e1,e3) != e4
| ~ sP7 ),
inference(instantiation,[status(thm)],[370]) ).
cnf(32,plain,
op(e4,e2) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l21,plain,
op(e4,e2) = e0,
inference(instantiation,[status(thm)],[32]) ).
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(l381,plain,
op(e1,e4) = e0,
inference(instantiation,[status(thm)],[19]) ).
cnf(l592,plain,
op(e3,e1) = e0,
inference(instantiation,[status(thm)],[26]) ).
cnf(196,plain,
( op(e1,e3) != e4
| ~ sP42 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l165,plain,
( op(e1,e3) != e4
| ~ sP42 ),
inference(instantiation,[status(thm)],[196]) ).
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(l370,plain,
op(e4,e3) = e1,
inference(instantiation,[status(thm)],[33]) ).
cnf(l254,plain,
op(e3,e4) = e2,
inference(instantiation,[status(thm)],[29]) ).
cnf(l178,plain,
op(e1,e0) = e2,
inference(instantiation,[status(thm)],[15]) ).
cnf(l157,plain,
op(e1,e2) = e3,
inference(instantiation,[status(thm)],[17]) ).
cnf(l134,plain,
op(e2,e2) = e2,
inference(instantiation,[status(thm)],[22]) ).
cnf(275,plain,
( op(e0,e4) != e1
| ~ sP26 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l5,plain,
( op(e0,e4) != e1
| ~ sP26 ),
inference(instantiation,[status(thm)],[275]) ).
cnf(l143,plain,
op(e0,e4) = e1,
inference(instantiation,[status(thm)],[14]) ).
cnf(l269,plain,
op(e2,e3) = e0,
inference(instantiation,[status(thm)],[23]) ).
cnf(l294,plain,
op(e2,e4) = e3,
inference(instantiation,[status(thm)],[24]) ).
cnf(l172,plain,
op(e1,e4) = e0,
inference(instantiation,[status(thm)],[19]) ).
cnf(l472,plain,
op(e1,e4) = e0,
inference(instantiation,[status(thm)],[19]) ).
cnf(l85,plain,
op(e2,e3) = e0,
inference(instantiation,[status(thm)],[23]) ).
cnf(l369,plain,
op(e4,e1) = e2,
inference(instantiation,[status(thm)],[31]) ).
cnf(l429,plain,
op(e4,e2) = e0,
inference(instantiation,[status(thm)],[32]) ).
cnf(l371,plain,
op(e3,e1) = e0,
inference(instantiation,[status(thm)],[26]) ).
cnf(l201,plain,
op(e4,e1) = e2,
inference(instantiation,[status(thm)],[31]) ).
cnf(l377,plain,
op(e3,e3) = e3,
inference(instantiation,[status(thm)],[28]) ).
cnf(l295,plain,
op(e4,e1) = e2,
inference(instantiation,[status(thm)],[31]) ).
cnf(l531,plain,
op(e4,e0) = e3,
inference(instantiation,[status(thm)],[30]) ).
cnf(138,plain,
( op(e3,e1) != e0
| ~ sP54 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l151,plain,
( op(e3,e1) != e0
| ~ sP54 ),
inference(instantiation,[status(thm)],[138]) ).
cnf(l442,plain,
op(e0,e2) = e4,
inference(instantiation,[status(thm)],[12]) ).
cnf(l248,plain,
op(e3,e1) = e0,
inference(instantiation,[status(thm)],[26]) ).
cnf(304,plain,
( op(e4,e2) != e0
| ~ sP21 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l95,plain,
( op(e4,e2) != e0
| ~ sP21 ),
inference(instantiation,[status(thm)],[304]) ).
cnf(l194,plain,
op(e2,e3) = e0,
inference(instantiation,[status(thm)],[23]) ).
cnf(l309,plain,
op(e4,e2) = e0,
inference(instantiation,[status(thm)],[32]) ).
cnf(l431,plain,
op(e2,e2) = e2,
inference(instantiation,[status(thm)],[22]) ).
cnf(l417,plain,
op(e1,e3) = e4,
inference(instantiation,[status(thm)],[18]) ).
cnf(204,plain,
( op(e0,e1) != e3
| ~ sP41 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l140,plain,
( op(e0,e1) != e3
| ~ sP41 ),
inference(instantiation,[status(thm)],[204]) ).
cnf(l247,plain,
op(e1,e2) = e3,
inference(instantiation,[status(thm)],[17]) ).
cnf(l171,plain,
op(e2,e2) = e2,
inference(instantiation,[status(thm)],[22]) ).
cnf(l145,plain,
op(e3,e2) = e1,
inference(instantiation,[status(thm)],[27]) ).
cnf(l188,plain,
op(e4,e0) = e3,
inference(instantiation,[status(thm)],[30]) ).
cnf(l133,plain,
op(e1,e1) = e1,
inference(instantiation,[status(thm)],[16]) ).
cnf(l333,plain,
op(e3,e2) = e1,
inference(instantiation,[status(thm)],[27]) ).
cnf(l291,plain,
op(e4,e2) = e0,
inference(instantiation,[status(thm)],[32]) ).
cnf(l216,plain,
op(e0,e2) = e4,
inference(instantiation,[status(thm)],[12]) ).
cnf(l81,plain,
op(e3,e0) = e4,
inference(instantiation,[status(thm)],[25]) ).
cnf(61,plain,
( op(e3,e4) != e2
| ~ sP69 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l16,plain,
( op(e3,e4) != e2
| ~ sP69 ),
inference(instantiation,[status(thm)],[61]) ).
cnf(l260,plain,
op(e1,e1) = e1,
inference(instantiation,[status(thm)],[16]) ).
cnf(l420,plain,
op(e3,e0) = e4,
inference(instantiation,[status(thm)],[25]) ).
cnf(l92,plain,
op(e1,e0) = e2,
inference(instantiation,[status(thm)],[15]) ).
cnf(l59,plain,
op(e0,e4) = e1,
inference(instantiation,[status(thm)],[14]) ).
cnf(l293,plain,
op(e4,e2) = e0,
inference(instantiation,[status(thm)],[32]) ).
cnf(l280,plain,
op(e2,e1) = e4,
inference(instantiation,[status(thm)],[21]) ).
cnf(l237,plain,
op(e1,e0) = e2,
inference(instantiation,[status(thm)],[15]) ).
cnf(l215,plain,
op(e3,e2) = e1,
inference(instantiation,[status(thm)],[27]) ).
cnf(114,plain,
( op(e0,e3) != e2
| ~ sP59 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l132,plain,
( op(e0,e3) != e2
| ~ sP59 ),
inference(instantiation,[status(thm)],[114]) ).
cnf(l115,plain,
op(e3,e1) = e0,
inference(instantiation,[status(thm)],[26]) ).
cnf(l217,plain,
op(e0,e3) = e2,
inference(instantiation,[status(thm)],[13]) ).
cnf(l406,plain,
op(e3,e3) = e3,
inference(instantiation,[status(thm)],[28]) ).
cnf(l307,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[10]) ).
cnf(l68,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[10]) ).
cnf(l135,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(l244,plain,
op(e0,e4) = e1,
inference(instantiation,[status(thm)],[14]) ).
cnf(l300,plain,
op(e3,e3) = e3,
inference(instantiation,[status(thm)],[28]) ).
cnf(l305,plain,
op(e0,e3) = e2,
inference(instantiation,[status(thm)],[13]) ).
cnf(228,plain,
( op(e1,e1) != e1
| ~ sP36 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l100,plain,
( op(e1,e1) != e1
| ~ sP36 ),
inference(instantiation,[status(thm)],[228]) ).
cnf(l312,plain,
op(e1,e2) = e3,
inference(instantiation,[status(thm)],[17]) ).
cnf(l389,plain,
op(e2,e4) = e3,
inference(instantiation,[status(thm)],[24]) ).
cnf(l306,plain,
op(e2,e4) = e3,
inference(instantiation,[status(thm)],[24]) ).
cnf(l365,plain,
op(e1,e2) = e3,
inference(instantiation,[status(thm)],[17]) ).
cnf(l79,plain,
op(e0,e1) = e3,
inference(instantiation,[status(thm)],[11]) ).
cnf(l163,plain,
op(e2,e1) = e4,
inference(instantiation,[status(thm)],[21]) ).
cnf(l282,plain,
op(e3,e2) = e1,
inference(instantiation,[status(thm)],[27]) ).
cnf(307,plain,
( op(e4,e1) != e2
| ~ sP20 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l212,plain,
( op(e4,e1) != e2
| ~ sP20 ),
inference(instantiation,[status(thm)],[307]) ).
cnf(l270,plain,
op(e0,e2) = e4,
inference(instantiation,[status(thm)],[12]) ).
cnf(l222,plain,
op(e4,e1) = e2,
inference(instantiation,[status(thm)],[31]) ).
cnf(l520,plain,
op(e3,e4) = e2,
inference(instantiation,[status(thm)],[29]) ).
cnf(317,plain,
( op(e3,e4) != e2
| ~ sP18 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l47,plain,
( op(e3,e4) != e2
| ~ sP18 ),
inference(instantiation,[status(thm)],[317]) ).
cnf(l225,plain,
op(e3,e4) = e2,
inference(instantiation,[status(thm)],[29]) ).
cnf(l274,plain,
op(e1,e0) = e2,
inference(instantiation,[status(thm)],[15]) ).
cnf(l284,plain,
op(e0,e1) = e3,
inference(instantiation,[status(thm)],[11]) ).
cnf(l591,plain,
op(e1,e1) = e1,
inference(instantiation,[status(thm)],[16]) ).
cnf(l168,plain,
op(e4,e4) = e4,
inference(instantiation,[status(thm)],[34]) ).
cnf(l179,plain,
op(e1,e3) = e4,
inference(instantiation,[status(thm)],[18]) ).
cnf(l550,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[10]) ).
cnf(l234,plain,
op(e1,e1) = e1,
inference(instantiation,[status(thm)],[16]) ).
cnf(l118,plain,
op(e2,e2) = e2,
inference(instantiation,[status(thm)],[22]) ).
cnf(l224,plain,
op(e4,e3) = e1,
inference(instantiation,[status(thm)],[33]) ).
cnf(l625,plain,
op(e3,e4) = e2,
inference(instantiation,[status(thm)],[29]) ).
cnf(l393,plain,
op(e0,e1) = e3,
inference(instantiation,[status(thm)],[11]) ).
cnf(l185,plain,
op(e2,e1) = e4,
inference(instantiation,[status(thm)],[21]) ).
cnf(l423,plain,
op(e4,e4) = e4,
inference(instantiation,[status(thm)],[34]) ).
cnf(l477,plain,
op(e1,e2) = e3,
inference(instantiation,[status(thm)],[17]) ).
cnf(l342,plain,
op(e4,e1) = e2,
inference(instantiation,[status(thm)],[31]) ).
cnf(l590,plain,
op(e1,e1) = e1,
inference(instantiation,[status(thm)],[16]) ).
cnf(l158,plain,
op(e0,e1) = e3,
inference(instantiation,[status(thm)],[11]) ).
cnf(l385,plain,
op(e1,e2) = e3,
inference(instantiation,[status(thm)],[17]) ).
cnf(l462,plain,
op(e0,e3) = e2,
inference(instantiation,[status(thm)],[13]) ).
cnf(l167,plain,
op(e1,e0) = e2,
inference(instantiation,[status(thm)],[15]) ).
cnf(l386,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
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(l362,plain,
op(e0,e2) = e4,
inference(instantiation,[status(thm)],[12]) ).
cnf(l53,plain,
op(e3,e4) = e2,
inference(instantiation,[status(thm)],[29]) ).
cnf(l170,plain,
op(e0,e4) = e1,
inference(instantiation,[status(thm)],[14]) ).
cnf(l62,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[10]) ).
cnf(l432,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(l136,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(l358,plain,
op(e0,e1) = e3,
inference(instantiation,[status(thm)],[11]) ).
cnf(l279,plain,
op(e3,e1) = e0,
inference(instantiation,[status(thm)],[26]) ).
cnf(l436,plain,
op(e3,e4) = e2,
inference(instantiation,[status(thm)],[29]) ).
cnf(l445,plain,
op(e2,e3) = e0,
inference(instantiation,[status(thm)],[23]) ).
cnf(l245,plain,
op(e4,e2) = e0,
inference(instantiation,[status(thm)],[32]) ).
cnf(l67,plain,
op(e1,e4) = e0,
inference(instantiation,[status(thm)],[19]) ).
cnf(87,plain,
( op(e4,e2) != e0
| ~ sP64 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l23,plain,
( op(e4,e2) != e0
| ~ sP64 ),
inference(instantiation,[status(thm)],[87]) ).
cnf(l397,plain,
op(e1,e2) = e3,
inference(instantiation,[status(thm)],[17]) ).
cnf(l461,plain,
op(e2,e3) = e0,
inference(instantiation,[status(thm)],[23]) ).
cnf(l341,plain,
op(e3,e4) = e2,
inference(instantiation,[status(thm)],[29]) ).
cnf(l485,plain,
op(e4,e1) = e2,
inference(instantiation,[status(thm)],[31]) ).
cnf(l30,plain,
op(e4,e2) = e0,
inference(instantiation,[status(thm)],[32]) ).
cnf(l481,plain,
op(e2,e1) = e4,
inference(instantiation,[status(thm)],[21]) ).
cnf(l356,plain,
op(e3,e2) = e1,
inference(instantiation,[status(thm)],[27]) ).
cnf(l80,plain,
op(e0,e4) = e1,
inference(instantiation,[status(thm)],[14]) ).
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(l195,plain,
op(e2,e3) = e0,
inference(instantiation,[status(thm)],[23]) ).
cnf(l425,plain,
op(e4,e1) = e2,
inference(instantiation,[status(thm)],[31]) ).
cnf(l424,plain,
op(e3,e2) = e1,
inference(instantiation,[status(thm)],[27]) ).
cnf(40,plain,
( op(e4,e4) != e4
| ~ sP73 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l128,plain,
( op(e4,e4) != e4
| ~ sP73 ),
inference(instantiation,[status(thm)],[40]) ).
cnf(l147,plain,
op(e4,e4) = e4,
inference(instantiation,[status(thm)],[34]) ).
cnf(l39,plain,
op(e4,e4) = e4,
inference(instantiation,[status(thm)],[34]) ).
cnf(l315,plain,
op(e1,e4) = e0,
inference(instantiation,[status(thm)],[19]) ).
cnf(l501,plain,
op(e0,e3) = e2,
inference(instantiation,[status(thm)],[13]) ).
cnf(l534,plain,
op(e1,e4) = e0,
inference(instantiation,[status(thm)],[19]) ).
cnf(l242,plain,
op(e2,e4) = e3,
inference(instantiation,[status(thm)],[24]) ).
cnf(l484,plain,
op(e3,e2) = e1,
inference(instantiation,[status(thm)],[27]) ).
cnf(l378,plain,
op(e0,e3) = e2,
inference(instantiation,[status(thm)],[13]) ).
cnf(l507,plain,
op(e2,e4) = e3,
inference(instantiation,[status(thm)],[24]) ).
cnf(l220,plain,
op(e2,e0) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(l438,plain,
op(e2,e4) = e3,
inference(instantiation,[status(thm)],[24]) ).
cnf(l543,plain,
op(e4,e3) = e1,
inference(instantiation,[status(thm)],[33]) ).
cnf(l400,plain,
op(e4,e2) = e0,
inference(instantiation,[status(thm)],[32]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l192,l202,l126,l120,l138,l449,l69,l203,l70,l24,l40,l66,l183,l103,l181,l174,l82,l19,l52,l111,l395,l28,l336,l221,l166,l581,l33,l63,l57,l83,l58,l17,l89,l332,l298,l267,l156,l265,l476,l46,l139,l450,l383,l349,l558,l127,l86,l50,l513,l72,l213,l324,l71,l301,l43,l84,l125,l101,l45,l73,l367,l448,l286,l182,l364,l189,l116,l249,l209,l173,l514,l278,l343,l475,l488,l152,l444,l75,l31,l434,l401,l199,l316,l149,l619,l480,l131,l10,l285,l440,l238,l12,l430,l190,l439,l233,l489,l469,l373,l55,l502,l32,l110,l303,l74,l29,l583,l175,l164,l388,l36,l375,l322,l196,l262,l146,l241,l87,l65,l498,l137,l289,l275,l441,l399,l415,l109,l9,l338,l162,l219,l227,l90,l321,l368,l94,l186,l21,l14,l381,l592,l165,l49,l370,l254,l178,l157,l134,l5,l143,l269,l294,l172,l472,l85,l369,l429,l371,l201,l377,l295,l531,l151,l442,l248,l95,l194,l309,l431,l417,l140,l247,l171,l145,l188,l133,l333,l291,l216,l81,l16,l260,l420,l92,l59,l293,l280,l237,l215,l132,l115,l217,l406,l307,l68,l135,l244,l300,l305,l100,l312,l389,l306,l365,l79,l163,l282,l212,l270,l222,l520,l47,l225,l274,l284,l591,l168,l179,l550,l234,l118,l224,l625,l393,l185,l423,l477,l342,l590,l158,l385,l462,l167,l386,l3,l362,l53,l170,l62,l432,l136,l358,l279,l436,l445,l245,l67,l23,l397,l461,l341,l485,l30,l481,l356,l80,l20,l195,l425,l424,l128,l147,l39,l315,l501,l534,l242,l484,l378,l507,l220,l438,l543,l400]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : ALG189+1 : TPTP v9.0.0. Released v2.7.0.
% 0.05/0.08 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Sun Jul 20 02:39:34 EDT 2025
% 0.07/0.27 % CPUTime :
% 0.07/0.29 % launching worker at depth: 1
% 0.07/0.29 % launching worker at depth: 8
% 0.07/0.29 % launching worker at depth: 4
% 0.07/0.29 % launching worker at depth: 2
% 0.07/0.29 % launching worker at depth: 7
% 0.07/0.29 % launching worker at depth: 6
% 0.07/0.29 % launching worker at depth: 5
% 0.07/0.29 % launching worker at depth: 3
% 0.07/0.29 % launching worker at depth: 9
% 0.07/0.29 % launching worker at depth: 10
% 76.36/9.91 % SZS status Theorem for theBenchmark
% 76.36/9.91 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------