%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN392+1 : TPTP v9.0.0. 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 : n017.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 09:27:37 PM UTC 2025
% Result : Theorem 0.13s 0.33s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 40 ( 1 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 126 ( 55 ~; 65 |; 2 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 7 ( 6 usr; 7 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel14,plain,
( ( p1
<=> p2 )
<=> ( ( p2
| ~ p1 )
& ( ~ p2
| p1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel14) ).
fof(pel14_negated,plain,
~ ( ( p1
<=> p2 )
<=> ( ( p2
| ~ p1 )
& ( ~ p2
| p1 ) ) ),
inference(negate_conjecture,[status(cth)],[pel14]) ).
cnf(0,plain,
( ~ p1
| sP0
| sP1 ),
inference(cnf,[status(esa)],[pel14_negated]) ).
cnf(l0,plain,
( ~ p1
| sP0
| sP1 ),
inference(instantiation,[status(thm)],[0]) ).
cnf(11,plain,
( p2
| ~ sP0 ),
inference(cnf,[status(esa)],[pel14_negated]) ).
cnf(l1,plain,
( p2
| ~ sP0 ),
inference(instantiation,[status(thm)],[11]) ).
cnf(5,plain,
( p1
| p2
| ~ sP3 ),
inference(cnf,[status(esa)],[pel14_negated]) ).
cnf(l2,plain,
( p1
| p2
| ~ sP3 ),
inference(instantiation,[status(thm)],[5]) ).
cnf(8,plain,
( ~ p2
| p1
| ~ sP1 ),
inference(cnf,[status(esa)],[pel14_negated]) ).
cnf(l3,plain,
( ~ p2
| p1
| ~ sP1 ),
inference(instantiation,[status(thm)],[8]) ).
cnf(9,plain,
( ~ p1
| p2
| ~ sP1 ),
inference(cnf,[status(esa)],[pel14_negated]) ).
cnf(l8,plain,
( ~ p1
| p2
| ~ sP1 ),
inference(instantiation,[status(thm)],[9]) ).
cnf(3,plain,
( p1
| sP2
| sP3 ),
inference(cnf,[status(esa)],[pel14_negated]) ).
cnf(l10,plain,
( p1
| sP2
| sP3 ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l11,plain,
( p1
| sP2
| sP3 ),
inference(instantiation,[status(thm)],[3]) ).
cnf(1,plain,
( ~ p2
| sP0
| sP1 ),
inference(cnf,[status(esa)],[pel14_negated]) ).
cnf(l7,plain,
( ~ p2
| sP0
| sP1 ),
inference(instantiation,[status(thm)],[1]) ).
cnf(10,plain,
( p1
| ~ sP0 ),
inference(cnf,[status(esa)],[pel14_negated]) ).
cnf(l14,plain,
( p1
| ~ sP0 ),
inference(instantiation,[status(thm)],[10]) ).
cnf(7,plain,
( p2
| ~ sP2 ),
inference(cnf,[status(esa)],[pel14_negated]) ).
cnf(l16,plain,
( p2
| ~ sP2 ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l5,plain,
( ~ p1
| p2
| ~ sP1 ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l12,plain,
( p2
| ~ sP2 ),
inference(instantiation,[status(thm)],[7]) ).
cnf(4,plain,
( ~ p1
| ~ p2
| ~ sP3 ),
inference(cnf,[status(esa)],[pel14_negated]) ).
cnf(l13,plain,
( ~ p1
| ~ p2
| ~ sP3 ),
inference(instantiation,[status(thm)],[4]) ).
cnf(2,plain,
( ~ p2
| sP2
| sP3 ),
inference(cnf,[status(esa)],[pel14_negated]) ).
cnf(l20,plain,
( ~ p2
| sP2
| sP3 ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l15,plain,
( p1
| p2
| ~ sP3 ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l17,plain,
( ~ p2
| p1
| ~ sP1 ),
inference(instantiation,[status(thm)],[8]) ).
cnf(6,plain,
( ~ p1
| ~ sP2 ),
inference(cnf,[status(esa)],[pel14_negated]) ).
cnf(l22,plain,
( ~ p1
| ~ sP2 ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l21,plain,
( ~ p2
| sP0
| sP1 ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l23,plain,
( p1
| ~ sP0 ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l24,plain,
( ~ p2
| p1
| ~ sP1 ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l4,plain,
( ~ p2
| sP2
| sP3 ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l26,plain,
( ~ p1
| ~ sP2 ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l28,plain,
( p1
| ~ sP0 ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l6,plain,
( ~ p1
| ~ p2
| ~ sP3 ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l9,plain,
( p1
| ~ sP0 ),
inference(instantiation,[status(thm)],[10]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l8,l10,l11,l7,l14,l16,l5,l12,l13,l20,l15,l17,l22,l21,l23,l24,l4,l26,l28,l6,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN392+1 : TPTP v9.0.0. Released v2.0.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.32 % Computer : n017.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 22 16:00:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % launching worker at depth: 1
% 0.13/0.33 % launching worker at depth: 5
% 0.13/0.33 % launching worker at depth: 2
% 0.13/0.33 % launching worker at depth: 6
% 0.13/0.33 % launching worker at depth: 4
% 0.13/0.33 % launching worker at depth: 3
% 0.13/0.33 % launching worker at depth: 7
% 0.13/0.33 % launching worker at depth: 8
% 0.13/0.33 % SZS status Theorem for theBenchmark
% 0.13/0.33 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------