%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL181+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:13:18 PM UTC 2026
% Result : Theorem 0.10s 0.35s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 1 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 33 ( 17 ~; 10 |; 0 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 4 ( 3 usr; 4 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel4,plain,
( ( ~ p
=> q )
<=> ( ~ q
=> p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel4) ).
fof(pel4_negated,plain,
~ ( ( ~ p
=> q )
<=> ( ~ q
=> p ) ),
inference(negate_conjecture,[status(cth)],[pel4]) ).
cnf(0,plain,
( p
| q ),
inference(cnf,[status(esa)],[pel4_negated]) ).
cnf(l0,plain,
( p
| q ),
inference(instantiation,[status(thm)],[0]) ).
cnf(4,plain,
( ~ p
| ~ sP0 ),
inference(cnf,[status(esa)],[pel4_negated]) ).
cnf(l1,plain,
( ~ p
| ~ sP0 ),
inference(instantiation,[status(thm)],[4]) ).
cnf(3,plain,
( ~ q
| ~ sP0 ),
inference(cnf,[status(esa)],[pel4_negated]) ).
cnf(l2,plain,
( ~ q
| ~ sP0 ),
inference(instantiation,[status(thm)],[3]) ).
cnf(2,plain,
( ~ p
| sP0 ),
inference(cnf,[status(esa)],[pel4_negated]) ).
cnf(l3,plain,
( ~ p
| sP0 ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( ~ q
| sP0 ),
inference(cnf,[status(esa)],[pel4_negated]) ).
cnf(l4,plain,
( ~ q
| sP0 ),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL181+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.34 % Computer : n003.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Fri Sep 4 23:23:50 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 % launching worker at depth: 1
% 0.10/0.35 % launching worker at depth: 6
% 0.10/0.35 % launching worker at depth: 2
% 0.10/0.35 % launching worker at depth: 3
% 0.10/0.35 % launching worker at depth: 4
% 0.10/0.35 % launching worker at depth: 8
% 0.10/0.35 % launching worker at depth: 5
% 0.10/0.35 % launching worker at depth: 7
% 0.10/0.35 % SZS status Theorem for theBenchmark
% 0.10/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------