%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN044+1 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.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 : Fri Jul 25 09:26:40 PM UTC 2025
% Result : Theorem 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 1 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 37 ( 15 ~; 16 |; 1 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 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(pel10,plain,
( p
<=> q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel10) ).
fof(pel10_negated,plain,
~ ( p
<=> q ),
inference(negate_conjecture,[status(cth)],[pel10]) ).
cnf(4,plain,
( q
| p ),
inference(cnf,[status(esa)],[pel10_negated]) ).
cnf(l0,plain,
( q
| p ),
inference(instantiation,[status(thm)],[4]) ).
cnf(5,plain,
( ~ q
| ~ p ),
inference(cnf,[status(esa)],[pel10_negated]) ).
cnf(l1,plain,
( ~ q
| ~ p ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l2,plain,
( ~ q
| ~ p ),
inference(instantiation,[status(thm)],[5]) ).
fof(pel10_2,plain,
( r
=> ( p
& q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel10_2) ).
cnf(1,plain,
( ~ r
| p ),
inference(cnf,[status(esa)],[pel10_2]) ).
cnf(l3,plain,
( ~ r
| p ),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
( ~ r
| q ),
inference(cnf,[status(esa)],[pel10_2]) ).
cnf(l4,plain,
( ~ r
| q ),
inference(instantiation,[status(thm)],[2]) ).
fof(pel10_1,plain,
( q
=> r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel10_1) ).
cnf(0,plain,
( ~ q
| r ),
inference(cnf,[status(esa)],[pel10_1]) ).
cnf(l5,plain,
( ~ q
| r ),
inference(instantiation,[status(thm)],[0]) ).
fof(pel10_3,plain,
( p
=> ( q
| r ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel10_3) ).
cnf(3,plain,
( ~ p
| q
| r ),
inference(cnf,[status(esa)],[pel10_3]) ).
cnf(l6,plain,
( ~ p
| q
| r ),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN044+1 : TPTP v9.0.0. Released v2.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Jul 22 15:27:49 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % SZS status Theorem for theBenchmark
% 0.14/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------