%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN047+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 : n027.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 09:26:41 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 78 ( 1 unt; 0 def)
% Number of atoms : 223 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 256 ( 111 ~; 135 |; 4 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 8 ( 7 usr; 8 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel17,plain,
( ( ( p
& ( q
=> r ) )
=> s )
<=> ( ( ~ p
| q
| s )
& ( ~ p
| ~ r
| s ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel17) ).
fof(pel17_negated,plain,
~ ( ( ( p
& ( q
=> r ) )
=> s )
<=> ( ( ~ p
| q
| s )
& ( ~ p
| ~ r
| s ) ) ),
inference(negate_conjecture,[status(cth)],[pel17]) ).
cnf(0,plain,
( ~ p
| q
| s
| sP0 ),
inference(cnf,[status(esa)],[pel17_negated]) ).
cnf(l0,plain,
( ~ p
| q
| s
| sP0 ),
inference(instantiation,[status(thm)],[0]) ).
cnf(6,plain,
( ~ q
| r
| ~ sP2 ),
inference(cnf,[status(esa)],[pel17_negated]) ).
cnf(l1,plain,
( ~ q
| r
| ~ sP2 ),
inference(instantiation,[status(thm)],[6]) ).
cnf(10,plain,
( p
| ~ sP1 ),
inference(cnf,[status(esa)],[pel17_negated]) ).
cnf(l2,plain,
( p
| ~ sP1 ),
inference(instantiation,[status(thm)],[10]) ).
cnf(11,plain,
( ~ p
| ~ r
| s
| ~ sP0 ),
inference(cnf,[status(esa)],[pel17_negated]) ).
cnf(l3,plain,
( ~ p
| ~ r
| s
| ~ sP0 ),
inference(instantiation,[status(thm)],[11]) ).
cnf(2,plain,
( p
| sP1
| sP2 ),
inference(cnf,[status(esa)],[pel17_negated]) ).
cnf(l4,plain,
( p
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[2]) ).
cnf(8,plain,
( ~ s
| ~ sP1 ),
inference(cnf,[status(esa)],[pel17_negated]) ).
cnf(l5,plain,
( ~ s
| ~ sP1 ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l6,plain,
( p
| ~ sP1 ),
inference(instantiation,[status(thm)],[10]) ).
cnf(4,plain,
( ~ s
| sP1
| sP2 ),
inference(cnf,[status(esa)],[pel17_negated]) ).
cnf(l7,plain,
( ~ s
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[4]) ).
cnf(1,plain,
( ~ p
| ~ r
| s
| sP0 ),
inference(cnf,[status(esa)],[pel17_negated]) ).
cnf(l8,plain,
( ~ p
| ~ r
| s
| sP0 ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l9,plain,
( ~ s
| ~ sP1 ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l16,plain,
( ~ p
| ~ r
| s
| ~ sP0 ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l24,plain,
( ~ q
| r
| ~ sP2 ),
inference(instantiation,[status(thm)],[6]) ).
cnf(5,plain,
( ~ s
| ~ sP2 ),
inference(cnf,[status(esa)],[pel17_negated]) ).
cnf(l25,plain,
( ~ s
| ~ sP2 ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l10,plain,
( ~ p
| ~ r
| s
| sP0 ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l27,plain,
( ~ s
| ~ sP1 ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l18,plain,
( p
| ~ sP1 ),
inference(instantiation,[status(thm)],[10]) ).
cnf(9,plain,
( r
| ~ sP1 ),
inference(cnf,[status(esa)],[pel17_negated]) ).
cnf(l33,plain,
( r
| ~ sP1 ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l19,plain,
( ~ p
| ~ r
| s
| ~ sP0 ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l15,plain,
( ~ s
| ~ sP2 ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l38,plain,
( ~ s
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l14,plain,
( ~ s
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[4]) ).
cnf(12,plain,
( ~ p
| q
| s
| ~ sP0 ),
inference(cnf,[status(esa)],[pel17_negated]) ).
cnf(l26,plain,
( ~ p
| q
| s
| ~ sP0 ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l35,plain,
( p
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l28,plain,
( ~ s
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l72,plain,
( ~ s
| ~ sP1 ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l56,plain,
( r
| ~ sP1 ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l12,plain,
( ~ p
| ~ r
| s
| sP0 ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l68,plain,
( ~ p
| ~ r
| s
| ~ sP0 ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l21,plain,
( ~ s
| ~ sP1 ),
inference(instantiation,[status(thm)],[8]) ).
cnf(7,plain,
( p
| ~ sP2 ),
inference(cnf,[status(esa)],[pel17_negated]) ).
cnf(l41,plain,
( p
| ~ sP2 ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l46,plain,
( p
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l22,plain,
( ~ s
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l77,plain,
( r
| ~ sP1 ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l29,plain,
( ~ p
| q
| s
| ~ sP0 ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l30,plain,
( p
| ~ sP1 ),
inference(instantiation,[status(thm)],[10]) ).
cnf(3,plain,
( ~ q
| sP1
| sP2 ),
inference(cnf,[status(esa)],[pel17_negated]) ).
cnf(l85,plain,
( ~ q
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l37,plain,
( p
| ~ sP1 ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l49,plain,
( p
| ~ sP2 ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l73,plain,
( ~ s
| ~ sP1 ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l34,plain,
( r
| ~ sP1 ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l69,plain,
( ~ s
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l44,plain,
( r
| ~ sP1 ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l11,plain,
( ~ s
| ~ sP1 ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l45,plain,
( ~ s
| ~ sP1 ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l67,plain,
( ~ q
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l97,plain,
( r
| ~ sP1 ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l74,plain,
( ~ s
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l53,plain,
( ~ s
| ~ sP2 ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l83,plain,
( ~ s
| ~ sP2 ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l31,plain,
( ~ q
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l94,plain,
( ~ s
| ~ sP1 ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l43,plain,
( p
| ~ sP2 ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l32,plain,
( p
| ~ sP2 ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l58,plain,
( ~ q
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l75,plain,
( p
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l59,plain,
( ~ s
| ~ sP2 ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l47,plain,
( p
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l78,plain,
( ~ q
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l13,plain,
( p
| ~ sP2 ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l105,plain,
( p
| ~ sP1 ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l17,plain,
( p
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l80,plain,
( p
| ~ sP1 ),
inference(instantiation,[status(thm)],[10]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l7,l8,l9,l16,l24,l25,l10,l27,l18,l33,l19,l15,l38,l14,l26,l35,l28,l72,l56,l12,l68,l21,l41,l46,l22,l77,l29,l30,l85,l37,l49,l73,l34,l69,l44,l11,l45,l67,l97,l74,l53,l83,l31,l94,l43,l32,l58,l75,l59,l47,l78,l13,l105,l17,l80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN047+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
% 0.13/0.33 % Computer : n027.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 15:28:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------