%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ALG090+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 : n019.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 09:45:49 AM UTC 2025
% Result : Theorem 13.22s 2.03s
% Output : CNFRefutation 13.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 294 ( 129 unt; 0 def)
% Number of atoms : 1486 (1165 equ)
% Maximal formula atoms : 415 ( 5 avg)
% Number of connectives : 1535 ( 343 ~; 988 |; 204 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 96 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 82 ( 80 usr; 81 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,plain,
( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = 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(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = 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 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(co1_negated,plain,
~ ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = 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(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = 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 ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(36,plain,
( op(e1,unit) != e1
| op(e0,e0) != e0
| op(e0,unit) != e0
| op(e2,unit) != e2
| op(e3,unit) != e3
| op(e4,unit) != e4
| op(unit,e1) != e1
| op(unit,e0) != e0
| op(unit,e2) != e2
| op(unit,e3) != e3
| op(unit,e4) != e4
| sP18
| sP26
| sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP11
| sP8
| sP12
| sP9
| sP10
| sP13
| sP14
| sP15
| sP16
| sP17
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP31
| sP32
| sP25
| sP29
| sP28
| sP27
| sP30
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| sP40
| sP42
| sP41
| sP43
| sP44
| sP45
| sP46
| sP47
| sP48
| sP49
| sP50
| sP51
| sP52
| sP53
| sP54
| sP55
| sP56
| sP57
| sP58
| sP59
| sP60
| sP61
| sP62
| sP63
| sP64
| sP65
| sP66
| sP67
| sP68
| sP69
| sP70
| sP71
| sP72
| sP73
| sP74
| sP75
| sP76
| sP77
| sP78
| sP79 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l0,plain,
( op(e1,unit) != e1
| op(e0,e0) != e0
| op(e0,unit) != e0
| op(e2,unit) != e2
| op(e3,unit) != e3
| op(e4,unit) != e4
| op(unit,e1) != e1
| op(unit,e0) != e0
| op(unit,e2) != e2
| op(unit,e3) != e3
| op(unit,e4) != e4
| sP18
| sP26
| sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP11
| sP8
| sP12
| sP9
| sP10
| sP13
| sP14
| sP15
| sP16
| sP17
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP31
| sP32
| sP25
| sP29
| sP28
| sP27
| sP30
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| sP40
| sP42
| sP41
| sP43
| sP44
| sP45
| sP46
| sP47
| sP48
| sP49
| sP50
| sP51
| sP52
| sP53
| sP54
| sP55
| sP56
| sP57
| sP58
| sP59
| sP60
| sP61
| sP62
| sP63
| sP64
| sP65
| sP66
| sP67
| sP68
| sP69
| sP70
| sP71
| sP72
| sP73
| sP74
| sP75
| sP76
| sP77
| sP78
| sP79 ),
inference(instantiation,[status(thm)],[36]) ).
cnf(305,plain,
( op(e4,e3) != e0
| ~ sP27 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l72,plain,
( op(e4,e3) != e0
| ~ sP27 ),
inference(instantiation,[status(thm)],[305]) ).
cnf(176,plain,
( op(e2,e4) != e1
| ~ sP52 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l138,plain,
( op(e2,e4) != e1
| ~ sP52 ),
inference(instantiation,[status(thm)],[176]) ).
cnf(105,plain,
( op(e0,e3) != e3
| ~ sP67 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l8,plain,
( op(e0,e3) != e3
| ~ sP67 ),
inference(instantiation,[status(thm)],[105]) ).
cnf(252,plain,
( op(e3,e0) != e3
| ~ sP37 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l37,plain,
( op(e3,e0) != e3
| ~ sP37 ),
inference(instantiation,[status(thm)],[252]) ).
cnf(87,plain,
( op(e4,e3) != e0
| ~ sP70 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l29,plain,
( op(e4,e3) != e0
| ~ sP70 ),
inference(instantiation,[status(thm)],[87]) ).
cnf(131,plain,
( op(e4,e3) != e0
| ~ sP61 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l13,plain,
( op(e4,e3) != e0
| ~ sP61 ),
inference(instantiation,[status(thm)],[131]) ).
cnf(110,plain,
( op(e3,e0) != e3
| ~ sP66 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l56,plain,
( op(e3,e0) != e3
| ~ sP66 ),
inference(instantiation,[status(thm)],[110]) ).
cnf(233,plain,
( op(e2,e1) != e0
| ~ sP41 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l105,plain,
( op(e2,e1) != e0
| ~ sP41 ),
inference(instantiation,[status(thm)],[233]) ).
fof(ax2,plain,
( op(e0,e0) = e0
& op(e0,e1) = e1
& op(e0,e2) = e2
& op(e0,e3) = e3
& op(e0,e4) = e4
& op(e1,e0) = e1
& op(e1,e1) = e4
& op(e1,e2) = e0
& op(e1,e3) = e2
& op(e1,e4) = e3
& op(e2,e0) = e2
& op(e2,e1) = e0
& op(e2,e2) = e3
& op(e2,e3) = e4
& op(e2,e4) = e1
& op(e3,e0) = e3
& op(e3,e1) = e2
& op(e3,e2) = e4
& op(e3,e3) = e1
& op(e3,e4) = e0
& op(e4,e0) = e4
& op(e4,e1) = e3
& op(e4,e2) = e1
& op(e4,e3) = e0
& op(e4,e4) = e2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(25,plain,
op(e3,e0) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l40,plain,
op(e3,e0) = e3,
inference(instantiation,[status(thm)],[25]) ).
cnf(82,plain,
( op(e3,e4) != e0
| ~ sP71 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l95,plain,
( op(e3,e4) != e0
| ~ sP71 ),
inference(instantiation,[status(thm)],[82]) ).
cnf(33,plain,
op(e4,e3) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l32,plain,
op(e4,e3) = e0,
inference(instantiation,[status(thm)],[33]) ).
cnf(338,plain,
( op(e3,e1) != e2
| ~ sP20 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l1,plain,
( op(e3,e1) != e2
| ~ sP20 ),
inference(instantiation,[status(thm)],[338]) ).
cnf(199,plain,
( op(e1,e1) != e4
| ~ sP48 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l42,plain,
( op(e1,e1) != e4
| ~ sP48 ),
inference(instantiation,[status(thm)],[199]) ).
cnf(312,plain,
( op(e4,e1) != e3
| ~ sP25 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l5,plain,
( op(e4,e1) != e3
| ~ sP25 ),
inference(instantiation,[status(thm)],[312]) ).
cnf(246,plain,
( op(e0,e4) != e4
| ~ sP38 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l237,plain,
( op(e0,e4) != e4
| ~ sP38 ),
inference(instantiation,[status(thm)],[246]) ).
cnf(295,plain,
( unit != e0
| ~ sP29 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l161,plain,
( unit != e0
| ~ sP29 ),
inference(instantiation,[status(thm)],[295]) ).
cnf(402,plain,
( op(e0,e3) != e3
| ~ sP7 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l67,plain,
( op(e0,e3) != e3
| ~ sP7 ),
inference(instantiation,[status(thm)],[402]) ).
cnf(21,plain,
op(e2,e1) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l273,plain,
op(e2,e1) = e0,
inference(instantiation,[status(thm)],[21]) ).
cnf(29,plain,
op(e3,e4) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l184,plain,
op(e3,e4) = e0,
inference(instantiation,[status(thm)],[29]) ).
cnf(l179,plain,
op(e4,e3) = e0,
inference(instantiation,[status(thm)],[33]) ).
cnf(73,plain,
( op(e2,e4) != e1
| ~ sP73 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l36,plain,
( op(e2,e4) != e1
| ~ sP73 ),
inference(instantiation,[status(thm)],[73]) ).
cnf(11,plain,
op(e0,e1) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l272,plain,
op(e0,e1) = e1,
inference(instantiation,[status(thm)],[11]) ).
cnf(24,plain,
op(e2,e4) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l102,plain,
op(e2,e4) = e1,
inference(instantiation,[status(thm)],[24]) ).
cnf(119,plain,
( op(e3,e1) != e2
| ~ sP64 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l51,plain,
( op(e3,e1) != e2
| ~ sP64 ),
inference(instantiation,[status(thm)],[119]) ).
cnf(316,plain,
( op(e4,e0) != e4
| ~ sP24 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l35,plain,
( op(e4,e0) != e4
| ~ sP24 ),
inference(instantiation,[status(thm)],[316]) ).
cnf(201,plain,
( op(e4,e1) != e3
| ~ sP47 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l6,plain,
( op(e4,e1) != e3
| ~ sP47 ),
inference(instantiation,[status(thm)],[201]) ).
cnf(257,plain,
( op(e0,e3) != e3
| ~ sP36 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l97,plain,
( op(e0,e3) != e3
| ~ sP36 ),
inference(instantiation,[status(thm)],[257]) ).
cnf(93,plain,
( op(e2,e3) != e4
| ~ sP69 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l125,plain,
( op(e2,e3) != e4
| ~ sP69 ),
inference(instantiation,[status(thm)],[93]) ).
cnf(298,plain,
( op(e4,e4) != e2
| ~ sP28 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l111,plain,
( op(e4,e4) != e2
| ~ sP28 ),
inference(instantiation,[status(thm)],[298]) ).
cnf(414,plain,
( op(e0,e1) != e1
| ~ sP5 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l200,plain,
( op(e0,e1) != e1
| ~ sP5 ),
inference(instantiation,[status(thm)],[414]) ).
cnf(l106,plain,
op(e3,e0) = e3,
inference(instantiation,[status(thm)],[25]) ).
fof(ax3,plain,
unit = e0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(35,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
cnf(l199,plain,
unit = e0,
inference(instantiation,[status(thm)],[35]) ).
cnf(431,plain,
( op(e4,e4) != e2
| ~ sP1 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l127,plain,
( op(e4,e4) != e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[431]) ).
cnf(158,plain,
( op(e2,e2) != e3
| ~ sP56 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l68,plain,
( op(e2,e2) != e3
| ~ sP56 ),
inference(instantiation,[status(thm)],[158]) ).
cnf(26,plain,
op(e3,e1) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l190,plain,
op(e3,e1) = e2,
inference(instantiation,[status(thm)],[26]) ).
cnf(14,plain,
op(e0,e4) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l245,plain,
op(e0,e4) = e4,
inference(instantiation,[status(thm)],[14]) ).
cnf(114,plain,
( op(e1,e3) != e2
| ~ sP65 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l45,plain,
( op(e1,e3) != e2
| ~ sP65 ),
inference(instantiation,[status(thm)],[114]) ).
cnf(357,plain,
( op(e2,e2) != e3
| ~ sP16 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l110,plain,
( op(e2,e2) != e3
| ~ sP16 ),
inference(instantiation,[status(thm)],[357]) ).
cnf(263,plain,
( op(e2,e0) != e2
| ~ sP35 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l9,plain,
( op(e2,e0) != e2
| ~ sP35 ),
inference(instantiation,[status(thm)],[263]) ).
cnf(408,plain,
( op(e0,e2) != e2
| ~ sP6 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l172,plain,
( op(e0,e2) != e2
| ~ sP6 ),
inference(instantiation,[status(thm)],[408]) ).
cnf(12,plain,
op(e0,e2) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l202,plain,
op(e0,e2) = e2,
inference(instantiation,[status(thm)],[12]) ).
cnf(31,plain,
op(e4,e1) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l43,plain,
op(e4,e1) = e3,
inference(instantiation,[status(thm)],[31]) ).
cnf(368,plain,
( op(e2,e0) != e2
| ~ sP14 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l75,plain,
( op(e2,e0) != e2
| ~ sP14 ),
inference(instantiation,[status(thm)],[368]) ).
cnf(372,plain,
( op(e1,e4) != e3
| ~ sP13 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l94,plain,
( op(e1,e4) != e3
| ~ sP13 ),
inference(instantiation,[status(thm)],[372]) ).
cnf(136,plain,
( op(e3,e4) != e0
| ~ sP60 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l120,plain,
( op(e3,e4) != e0
| ~ sP60 ),
inference(instantiation,[status(thm)],[136]) ).
cnf(22,plain,
op(e2,e2) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l270,plain,
op(e2,e2) = e3,
inference(instantiation,[status(thm)],[22]) ).
cnf(10,plain,
op(e0,e0) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l2,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[10]) ).
cnf(50,plain,
( op(e4,e0) != e4
| ~ sP78 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l115,plain,
( op(e4,e0) != e4
| ~ sP78 ),
inference(instantiation,[status(thm)],[50]) ).
cnf(184,plain,
( op(e1,e2) != e0
| ~ sP51 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l69,plain,
( op(e1,e2) != e0
| ~ sP51 ),
inference(instantiation,[status(thm)],[184]) ).
cnf(l90,plain,
op(e0,e2) = e2,
inference(instantiation,[status(thm)],[12]) ).
cnf(309,plain,
( op(e4,e2) != e1
| ~ sP26 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l50,plain,
( op(e4,e2) != e1
| ~ sP26 ),
inference(instantiation,[status(thm)],[309]) ).
cnf(15,plain,
op(e1,e0) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l182,plain,
op(e1,e0) = e1,
inference(instantiation,[status(thm)],[15]) ).
cnf(238,plain,
( op(e1,e2) != e0
| ~ sP40 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l22,plain,
( op(e1,e2) != e0
| ~ sP40 ),
inference(instantiation,[status(thm)],[238]) ).
cnf(153,plain,
( op(e2,e2) != e3
| ~ sP57 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l19,plain,
( op(e2,e2) != e3
| ~ sP57 ),
inference(instantiation,[status(thm)],[153]) ).
cnf(189,plain,
( op(e2,e1) != e0
| ~ sP50 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l77,plain,
( op(e2,e1) != e0
| ~ sP50 ),
inference(instantiation,[status(thm)],[189]) ).
cnf(17,plain,
op(e1,e2) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l27,plain,
op(e1,e2) = e0,
inference(instantiation,[status(thm)],[17]) ).
cnf(l152,plain,
op(e2,e1) = e0,
inference(instantiation,[status(thm)],[21]) ).
cnf(l73,plain,
op(e4,e3) = e0,
inference(instantiation,[status(thm)],[33]) ).
cnf(268,plain,
( op(e0,e2) != e2
| ~ sP34 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l26,plain,
( op(e0,e2) != e2
| ~ sP34 ),
inference(instantiation,[status(thm)],[268]) ).
cnf(30,plain,
op(e4,e0) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l121,plain,
op(e4,e0) = e4,
inference(instantiation,[status(thm)],[30]) ).
cnf(437,plain,
( op(e3,e3) != e1
| ~ sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l34,plain,
( op(e3,e3) != e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[437]) ).
cnf(420,plain,
( op(e0,e0) != e0
| ~ sP4 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l53,plain,
( op(e0,e0) != e0
| ~ sP4 ),
inference(instantiation,[status(thm)],[420]) ).
cnf(l310,plain,
unit = e0,
inference(instantiation,[status(thm)],[35]) ).
cnf(16,plain,
op(e1,e1) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l185,plain,
op(e1,e1) = e4,
inference(instantiation,[status(thm)],[16]) ).
cnf(l224,plain,
op(e0,e4) = e4,
inference(instantiation,[status(thm)],[14]) ).
cnf(331,plain,
( op(e3,e2) != e4
| ~ sP21 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l156,plain,
( op(e3,e2) != e4
| ~ sP21 ),
inference(instantiation,[status(thm)],[331]) ).
cnf(274,plain,
( op(e1,e0) != e1
| ~ sP33 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l38,plain,
( op(e1,e0) != e1
| ~ sP33 ),
inference(instantiation,[status(thm)],[274]) ).
cnf(l203,plain,
op(e0,e1) = e1,
inference(instantiation,[status(thm)],[11]) ).
cnf(285,plain,
( op(e0,e0) != e0
| ~ sP31 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l59,plain,
( op(e0,e0) != e0
| ~ sP31 ),
inference(instantiation,[status(thm)],[285]) ).
cnf(l66,plain,
op(e4,e0) = e4,
inference(instantiation,[status(thm)],[30]) ).
cnf(396,plain,
( op(e0,e4) != e4
| ~ sP8 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l7,plain,
( op(e0,e4) != e4
| ~ sP8 ),
inference(instantiation,[status(thm)],[396]) ).
cnf(l137,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[10]) ).
cnf(171,plain,
( op(e4,e2) != e1
| ~ sP53 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l16,plain,
( op(e4,e2) != e1
| ~ sP53 ),
inference(instantiation,[status(thm)],[171]) ).
cnf(365,plain,
( op(e2,e1) != e0
| ~ sP15 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l122,plain,
( op(e2,e1) != e0
| ~ sP15 ),
inference(instantiation,[status(thm)],[365]) ).
cnf(32,plain,
op(e4,e2) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l219,plain,
op(e4,e2) = e1,
inference(instantiation,[status(thm)],[32]) ).
cnf(225,plain,
( op(e0,e1) != e1
| ~ sP43 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l154,plain,
( op(e0,e1) != e1
| ~ sP43 ),
inference(instantiation,[status(thm)],[225]) ).
cnf(230,plain,
( op(e1,e0) != e1
| ~ sP42 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l30,plain,
( op(e1,e0) != e1
| ~ sP42 ),
inference(instantiation,[status(thm)],[230]) ).
cnf(217,plain,
( op(e1,e3) != e2
| ~ sP44 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l99,plain,
( op(e1,e3) != e2
| ~ sP44 ),
inference(instantiation,[status(thm)],[217]) ).
cnf(206,plain,
( op(e1,e4) != e3
| ~ sP46 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l23,plain,
( op(e1,e4) != e3
| ~ sP46 ),
inference(instantiation,[status(thm)],[206]) ).
cnf(34,plain,
op(e4,e4) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l241,plain,
op(e4,e4) = e2,
inference(instantiation,[status(thm)],[34]) ).
cnf(122,plain,
( op(e3,e3) != e1
| ~ sP63 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l21,plain,
( op(e3,e3) != e1
| ~ sP63 ),
inference(instantiation,[status(thm)],[122]) ).
cnf(59,plain,
( op(e4,e1) != e3
| ~ sP76 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l78,plain,
( op(e4,e1) != e3
| ~ sP76 ),
inference(instantiation,[status(thm)],[59]) ).
cnf(20,plain,
op(e2,e0) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l12,plain,
op(e2,e0) = e2,
inference(instantiation,[status(thm)],[20]) ).
cnf(66,plain,
( op(e4,e4) != e2
| ~ sP74 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l158,plain,
( op(e4,e4) != e2
| ~ sP74 ),
inference(instantiation,[status(thm)],[66]) ).
cnf(l228,plain,
op(e1,e2) = e0,
inference(instantiation,[status(thm)],[17]) ).
cnf(54,plain,
( op(e1,e4) != e3
| ~ sP77 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l83,plain,
( op(e1,e4) != e3
| ~ sP77 ),
inference(instantiation,[status(thm)],[54]) ).
cnf(l222,plain,
op(e4,e0) = e4,
inference(instantiation,[status(thm)],[30]) ).
cnf(28,plain,
op(e3,e3) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l65,plain,
op(e3,e3) = e1,
inference(instantiation,[status(thm)],[28]) ).
cnf(170,plain,
( op(e2,e0) != e2
| ~ sP54 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l107,plain,
( op(e2,e0) != e2
| ~ sP54 ),
inference(instantiation,[status(thm)],[170]) ).
cnf(351,plain,
( op(e2,e3) != e4
| ~ sP17 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l71,plain,
( op(e2,e3) != e4
| ~ sP17 ),
inference(instantiation,[status(thm)],[351]) ).
cnf(l196,plain,
op(e2,e0) = e2,
inference(instantiation,[status(thm)],[20]) ).
cnf(l151,plain,
op(e2,e2) = e3,
inference(instantiation,[status(thm)],[22]) ).
cnf(386,plain,
( op(e1,e1) != e4
| ~ sP10 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l114,plain,
( op(e1,e1) != e4
| ~ sP10 ),
inference(instantiation,[status(thm)],[386]) ).
cnf(l79,plain,
op(e0,e4) = e4,
inference(instantiation,[status(thm)],[14]) ).
cnf(147,plain,
( op(e2,e3) != e4
| ~ sP58 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l18,plain,
( op(e2,e3) != e4
| ~ sP58 ),
inference(instantiation,[status(thm)],[147]) ).
cnf(212,plain,
( op(e3,e1) != e2
| ~ sP45 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l76,plain,
( op(e3,e1) != e2
| ~ sP45 ),
inference(instantiation,[status(thm)],[212]) ).
cnf(13,plain,
op(e0,e3) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l301,plain,
op(e0,e3) = e3,
inference(instantiation,[status(thm)],[13]) ).
cnf(l87,plain,
op(e2,e0) = e2,
inference(instantiation,[status(thm)],[20]) ).
cnf(l39,plain,
op(e1,e0) = e1,
inference(instantiation,[status(thm)],[15]) ).
cnf(290,plain,
( op(e0,e0) != e0
| ~ sP30 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l41,plain,
( op(e0,e0) != e0
| ~ sP30 ),
inference(instantiation,[status(thm)],[290]) ).
cnf(l225,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[10]) ).
cnf(329,plain,
( op(e3,e3) != e1
| ~ sP22 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l48,plain,
( op(e3,e3) != e1
| ~ sP22 ),
inference(instantiation,[status(thm)],[329]) ).
cnf(l181,plain,
op(e4,e4) = e2,
inference(instantiation,[status(thm)],[34]) ).
cnf(l232,plain,
unit = e0,
inference(instantiation,[status(thm)],[35]) ).
cnf(l84,plain,
op(e1,e0) = e1,
inference(instantiation,[status(thm)],[15]) ).
cnf(l230,plain,
op(e0,e1) = e1,
inference(instantiation,[status(thm)],[11]) ).
cnf(18,plain,
op(e1,e3) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l52,plain,
op(e1,e3) = e2,
inference(instantiation,[status(thm)],[18]) ).
cnf(l135,plain,
op(e1,e1) = e4,
inference(instantiation,[status(thm)],[16]) ).
cnf(142,plain,
( op(e3,e2) != e4
| ~ sP59 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l14,plain,
( op(e3,e2) != e4
| ~ sP59 ),
inference(instantiation,[status(thm)],[142]) ).
cnf(127,plain,
( op(e3,e3) != e1
| ~ sP62 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l64,plain,
( op(e3,e3) != e1
| ~ sP62 ),
inference(instantiation,[status(thm)],[127]) ).
cnf(23,plain,
op(e2,e3) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l86,plain,
op(e2,e3) = e4,
inference(instantiation,[status(thm)],[23]) ).
cnf(l147,plain,
unit = e0,
inference(instantiation,[status(thm)],[35]) ).
cnf(l126,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[10]) ).
cnf(l112,plain,
op(e2,e3) = e4,
inference(instantiation,[status(thm)],[23]) ).
cnf(279,plain,
( op(e0,e1) != e1
| ~ sP32 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l150,plain,
( op(e0,e1) != e1
| ~ sP32 ),
inference(instantiation,[status(thm)],[279]) ).
cnf(385,plain,
( op(e1,e2) != e0
| ~ sP11 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l17,plain,
( op(e1,e2) != e0
| ~ sP11 ),
inference(instantiation,[status(thm)],[385]) ).
cnf(l171,plain,
op(e4,e1) = e3,
inference(instantiation,[status(thm)],[31]) ).
cnf(27,plain,
op(e3,e2) = e4,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l20,plain,
op(e3,e2) = e4,
inference(instantiation,[status(thm)],[27]) ).
cnf(19,plain,
op(e1,e4) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l144,plain,
op(e1,e4) = e3,
inference(instantiation,[status(thm)],[19]) ).
cnf(l267,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[10]) ).
cnf(342,plain,
( op(e3,e0) != e3
| ~ sP19 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l11,plain,
( op(e3,e0) != e3
| ~ sP19 ),
inference(instantiation,[status(thm)],[342]) ).
cnf(l47,plain,
op(e3,e0) = e3,
inference(instantiation,[status(thm)],[25]) ).
cnf(l136,plain,
op(e3,e1) = e2,
inference(instantiation,[status(thm)],[26]) ).
cnf(l58,plain,
op(e3,e3) = e1,
inference(instantiation,[status(thm)],[28]) ).
cnf(l214,plain,
op(e4,e4) = e2,
inference(instantiation,[status(thm)],[34]) ).
cnf(l210,plain,
op(e2,e3) = e4,
inference(instantiation,[status(thm)],[23]) ).
cnf(l318,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[10]) ).
cnf(l266,plain,
op(e3,e2) = e4,
inference(instantiation,[status(thm)],[27]) ).
cnf(l15,plain,
op(e4,e1) = e3,
inference(instantiation,[status(thm)],[31]) ).
cnf(l92,plain,
op(e1,e2) = e0,
inference(instantiation,[status(thm)],[17]) ).
cnf(394,plain,
( op(e1,e0) != e1
| ~ sP9 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l186,plain,
( op(e1,e0) != e1
| ~ sP9 ),
inference(instantiation,[status(thm)],[394]) ).
cnf(l62,plain,
op(e0,e2) = e2,
inference(instantiation,[status(thm)],[12]) ).
cnf(l128,plain,
op(e2,e2) = e3,
inference(instantiation,[status(thm)],[22]) ).
cnf(l193,plain,
op(e0,e1) = e1,
inference(instantiation,[status(thm)],[11]) ).
cnf(l96,plain,
op(e3,e3) = e1,
inference(instantiation,[status(thm)],[28]) ).
cnf(l130,plain,
op(e0,e3) = e3,
inference(instantiation,[status(thm)],[13]) ).
cnf(l217,plain,
op(e1,e4) = e3,
inference(instantiation,[status(thm)],[19]) ).
cnf(l194,plain,
op(e0,e3) = e3,
inference(instantiation,[status(thm)],[13]) ).
cnf(l360,plain,
unit = e0,
inference(instantiation,[status(thm)],[35]) ).
cnf(378,plain,
( op(e1,e3) != e2
| ~ sP12 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l176,plain,
( op(e1,e3) != e2
| ~ sP12 ),
inference(instantiation,[status(thm)],[378]) ).
cnf(l299,plain,
unit = e0,
inference(instantiation,[status(thm)],[35]) ).
cnf(l275,plain,
op(e3,e0) = e3,
inference(instantiation,[status(thm)],[25]) ).
cnf(78,plain,
( op(e4,e2) != e1
| ~ sP72 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l101,plain,
( op(e4,e2) != e1
| ~ sP72 ),
inference(instantiation,[status(thm)],[78]) ).
cnf(194,plain,
( op(e1,e1) != e4
| ~ sP49 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l139,plain,
( op(e1,e1) != e4
| ~ sP49 ),
inference(instantiation,[status(thm)],[194]) ).
cnf(l227,plain,
op(e3,e3) = e1,
inference(instantiation,[status(thm)],[28]) ).
cnf(241,plain,
( op(e4,e0) != e4
| ~ sP39 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l33,plain,
( op(e4,e0) != e4
| ~ sP39 ),
inference(instantiation,[status(thm)],[241]) ).
cnf(45,plain,
( op(e0,e4) != e4
| ~ sP79 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l31,plain,
( op(e0,e4) != e4
| ~ sP79 ),
inference(instantiation,[status(thm)],[45]) ).
cnf(l170,plain,
op(e1,e4) = e3,
inference(instantiation,[status(thm)],[19]) ).
cnf(l108,plain,
op(e4,e2) = e1,
inference(instantiation,[status(thm)],[32]) ).
cnf(l257,plain,
op(e2,e4) = e1,
inference(instantiation,[status(thm)],[24]) ).
cnf(l250,plain,
unit = e0,
inference(instantiation,[status(thm)],[35]) ).
cnf(l256,plain,
op(e1,e3) = e2,
inference(instantiation,[status(thm)],[18]) ).
cnf(l85,plain,
op(e3,e1) = e2,
inference(instantiation,[status(thm)],[26]) ).
cnf(l289,plain,
op(e1,e3) = e2,
inference(instantiation,[status(thm)],[18]) ).
cnf(349,plain,
( op(e2,e4) != e1
| ~ sP18 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l4,plain,
( op(e2,e4) != e1
| ~ sP18 ),
inference(instantiation,[status(thm)],[349]) ).
cnf(l211,plain,
op(e1,e1) = e4,
inference(instantiation,[status(thm)],[16]) ).
cnf(l63,plain,
op(e2,e0) = e2,
inference(instantiation,[status(thm)],[20]) ).
cnf(61,plain,
( op(e4,e4) != e2
| ~ sP75 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l54,plain,
( op(e4,e4) != e2
| ~ sP75 ),
inference(instantiation,[status(thm)],[61]) ).
cnf(l55,plain,
op(e0,e4) = e4,
inference(instantiation,[status(thm)],[14]) ).
cnf(165,plain,
( op(e0,e2) != e2
| ~ sP55 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l103,plain,
( op(e0,e2) != e2
| ~ sP55 ),
inference(instantiation,[status(thm)],[165]) ).
cnf(l242,plain,
unit = e0,
inference(instantiation,[status(thm)],[35]) ).
cnf(325,plain,
( op(e3,e4) != e0
| ~ sP23 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l189,plain,
( op(e3,e4) != e0
| ~ sP23 ),
inference(instantiation,[status(thm)],[325]) ).
cnf(98,plain,
( op(e3,e2) != e4
| ~ sP68 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l25,plain,
( op(e3,e2) != e4
| ~ sP68 ),
inference(instantiation,[status(thm)],[98]) ).
cnf(l74,plain,
op(e2,e4) = e1,
inference(instantiation,[status(thm)],[24]) ).
cnf(l195,plain,
unit = e0,
inference(instantiation,[status(thm)],[35]) ).
cnf(l311,plain,
op(e1,e0) = e1,
inference(instantiation,[status(thm)],[15]) ).
cnf(l216,plain,
op(e3,e4) = e0,
inference(instantiation,[status(thm)],[29]) ).
cnf(l204,plain,
op(e3,e4) = e0,
inference(instantiation,[status(thm)],[29]) ).
cnf(l142,plain,
op(e4,e2) = e1,
inference(instantiation,[status(thm)],[32]) ).
cnf(l261,plain,
op(e0,e2) = e2,
inference(instantiation,[status(thm)],[12]) ).
cnf(l80,plain,
op(e4,e4) = e2,
inference(instantiation,[status(thm)],[34]) ).
cnf(l192,plain,
op(e2,e1) = e0,
inference(instantiation,[status(thm)],[21]) ).
cnf(428,plain,
( op(e2,e2) != e3
| ~ sP2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l98,plain,
( op(e2,e2) != e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[428]) ).
cnf(l284,plain,
unit = e0,
inference(instantiation,[status(thm)],[35]) ).
cnf(l141,plain,
op(e4,e0) = e4,
inference(instantiation,[status(thm)],[30]) ).
cnf(l180,plain,
unit = e0,
inference(instantiation,[status(thm)],[35]) ).
cnf(l60,plain,
op(e3,e2) = e4,
inference(instantiation,[status(thm)],[27]) ).
cnf(l277,plain,
op(e2,e2) = e3,
inference(instantiation,[status(thm)],[22]) ).
cnf(424,plain,
( op(e1,e1) != e4
| ~ sP3 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l10,plain,
( op(e1,e1) != e4
| ~ sP3 ),
inference(instantiation,[status(thm)],[424]) ).
cnf(l119,plain,
op(e1,e1) = e4,
inference(instantiation,[status(thm)],[16]) ).
cnf(l213,plain,
op(e0,e3) = e3,
inference(instantiation,[status(thm)],[13]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l72,l138,l8,l37,l29,l13,l56,l105,l40,l95,l32,l1,l42,l5,l237,l161,l67,l273,l184,l179,l36,l272,l102,l51,l35,l6,l97,l125,l111,l200,l106,l199,l127,l68,l190,l245,l45,l110,l9,l172,l202,l43,l75,l94,l120,l270,l2,l115,l69,l90,l50,l182,l22,l19,l77,l27,l152,l73,l26,l121,l34,l53,l310,l185,l224,l156,l38,l203,l59,l66,l7,l137,l16,l122,l219,l154,l30,l99,l23,l241,l21,l78,l12,l158,l228,l83,l222,l65,l107,l71,l196,l151,l114,l79,l18,l76,l301,l87,l39,l41,l225,l48,l181,l232,l84,l230,l52,l135,l14,l64,l86,l147,l126,l112,l150,l17,l171,l20,l144,l267,l11,l47,l136,l58,l214,l210,l318,l266,l15,l92,l186,l62,l128,l193,l96,l130,l217,l194,l360,l176,l299,l275,l101,l139,l227,l33,l31,l170,l108,l257,l250,l256,l85,l289,l4,l211,l63,l54,l55,l103,l242,l189,l25,l74,l195,l311,l216,l204,l142,l261,l80,l192,l98,l284,l141,l180,l60,l277,l10,l119,l213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG090+1 : TPTP v9.0.0. Released v2.7.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n019.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 02:14:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 9
% 0.20/0.36 % launching worker at depth: 10
% 13.22/2.03 % SZS status Theorem for theBenchmark
% 13.22/2.03 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------