%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN045+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 : n024.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 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 44 ( 1 unt; 0 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 137 ( 60 ~; 71 |; 4 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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(pel13,plain,
( ( p
| ( q
& r ) )
<=> ( ( p
| q )
& ( p
| r ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel13) ).
fof(pel13_negated,plain,
~ ( ( p
| ( q
& r ) )
<=> ( ( p
| q )
& ( p
| r ) ) ),
inference(negate_conjecture,[status(cth)],[pel13]) ).
cnf(0,plain,
( sP0
| p
| q ),
inference(cnf,[status(esa)],[pel13_negated]) ).
cnf(l0,plain,
( sP0
| p
| q ),
inference(instantiation,[status(thm)],[0]) ).
cnf(5,plain,
( ~ p
| ~ sP2 ),
inference(cnf,[status(esa)],[pel13_negated]) ).
cnf(l1,plain,
( ~ p
| ~ sP2 ),
inference(instantiation,[status(thm)],[5]) ).
cnf(9,plain,
( p
| q
| ~ sP0 ),
inference(cnf,[status(esa)],[pel13_negated]) ).
cnf(l2,plain,
( p
| q
| ~ sP0 ),
inference(instantiation,[status(thm)],[9]) ).
cnf(3,plain,
( ~ q
| sP1
| sP2 ),
inference(cnf,[status(esa)],[pel13_negated]) ).
cnf(l3,plain,
( ~ q
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[3]) ).
cnf(4,plain,
( ~ q
| ~ r
| ~ sP2 ),
inference(cnf,[status(esa)],[pel13_negated]) ).
cnf(l7,plain,
( ~ q
| ~ r
| ~ sP2 ),
inference(instantiation,[status(thm)],[4]) ).
cnf(2,plain,
( ~ p
| sP1
| sP2 ),
inference(cnf,[status(esa)],[pel13_negated]) ).
cnf(l4,plain,
( ~ p
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l10,plain,
( ~ p
| ~ sP2 ),
inference(instantiation,[status(thm)],[5]) ).
cnf(8,plain,
( p
| r
| ~ sP0 ),
inference(cnf,[status(esa)],[pel13_negated]) ).
cnf(l16,plain,
( p
| r
| ~ sP0 ),
inference(instantiation,[status(thm)],[8]) ).
cnf(7,plain,
( ~ p
| ~ sP1 ),
inference(cnf,[status(esa)],[pel13_negated]) ).
cnf(l8,plain,
( ~ p
| ~ sP1 ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l30,plain,
( ~ p
| ~ sP2 ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l5,plain,
( ~ q
| ~ r
| ~ sP2 ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l31,plain,
( ~ q
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l38,plain,
( ~ p
| ~ sP1 ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l6,plain,
( ~ p
| ~ sP1 ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l11,plain,
( ~ p
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l32,plain,
( p
| r
| ~ sP0 ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l26,plain,
( ~ p
| ~ sP1 ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l23,plain,
( ~ p
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( sP0
| p
| r ),
inference(cnf,[status(esa)],[pel13_negated]) ).
cnf(l41,plain,
( sP0
| p
| r ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l27,plain,
( ~ p
| ~ sP1 ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l42,plain,
( ~ p
| ~ sP2 ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l12,plain,
( sP0
| p
| r ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l43,plain,
( p
| r
| ~ sP0 ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l28,plain,
( p
| r
| ~ sP0 ),
inference(instantiation,[status(thm)],[8]) ).
cnf(6,plain,
( ~ r
| ~ sP1 ),
inference(cnf,[status(esa)],[pel13_negated]) ).
cnf(l45,plain,
( ~ r
| ~ sP1 ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l40,plain,
( ~ p
| ~ sP2 ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l46,plain,
( ~ r
| ~ sP1 ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l48,plain,
( ~ q
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l18,plain,
( ~ r
| ~ sP1 ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l15,plain,
( p
| r
| ~ sP0 ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l37,plain,
( ~ r
| ~ sP1 ),
inference(instantiation,[status(thm)],[6]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l7,l4,l10,l16,l8,l30,l5,l31,l38,l6,l11,l32,l26,l23,l41,l27,l42,l12,l43,l28,l45,l40,l46,l48,l18,l15,l37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN045+1 : TPTP v9.0.0. Released v2.0.0.
% 0.06/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 22 15:28:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % SZS status Theorem for theBenchmark
% 0.13/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------