%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN722+1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 09:28:22 PM UTC 2025
% Result : Theorem 0.18s 0.33s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 10 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 63 ( 31 ~; 26 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 8 ( 1 sgn 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm119,plain,
~ ( ! [Z] :
( ( p(Z)
| r(Z) )
& q(Z) )
& ! [X] :
? [Y] :
( p(X)
| ~ q(X)
| ~ q(Y)
| ~ q(c)
| ~ q(d) )
& ( ~ p(a)
| ~ p(b) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm119) ).
fof(thm119_negated,plain,
~ ~ ( ! [Z] :
( ( p(Z)
| r(Z) )
& q(Z) )
& ! [X] :
? [Y] :
( p(X)
| ~ q(X)
| ~ q(Y)
| ~ q(c)
| ~ q(d) )
& ( ~ p(a)
| ~ p(b) ) ),
inference(negate_conjecture,[status(cth)],[thm119]) ).
cnf(1,plain,
q(X0),
inference(cnf,[status(esa)],[thm119_negated]) ).
cnf(l0,plain,
q(sK1(a)),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
( ~ q(X0)
| ~ q(d)
| ~ q(sK1(X0))
| ~ q(c)
| p(X0) ),
inference(cnf,[status(esa)],[thm119_negated]) ).
cnf(l1,plain,
( ~ q(a)
| ~ q(d)
| ~ q(sK1(a))
| ~ q(c)
| p(a) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l2,plain,
q(a),
inference(instantiation,[status(thm)],[1]) ).
cnf(3,plain,
( ~ p(a)
| ~ p(b) ),
inference(cnf,[status(esa)],[thm119_negated]) ).
cnf(l3,plain,
( ~ p(a)
| ~ p(b) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l4,plain,
q(d),
inference(instantiation,[status(thm)],[1]) ).
cnf(l5,plain,
q(c),
inference(instantiation,[status(thm)],[1]) ).
cnf(l6,plain,
( ~ q(b)
| ~ q(d)
| ~ q(sK1(b))
| ~ q(c)
| p(b) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l7,plain,
q(d),
inference(instantiation,[status(thm)],[1]) ).
cnf(l8,plain,
q(b),
inference(instantiation,[status(thm)],[1]) ).
cnf(l9,plain,
q(c),
inference(instantiation,[status(thm)],[1]) ).
cnf(l10,plain,
q(sK1(b)),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l7,l8,l9,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN722+1 : TPTP v9.0.0. Released v2.5.0.
% 0.12/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 22 17:47:34 EDT 2025
% 0.18/0.33 % CPUTime :
% 0.18/0.33 % launching worker at depth: 1
% 0.18/0.33 % launching worker at depth: 2
% 0.18/0.33 % launching worker at depth: 3
% 0.18/0.33 % launching worker at depth: 4
% 0.18/0.33 % launching worker at depth: 7
% 0.18/0.33 % launching worker at depth: 5
% 0.18/0.33 % launching worker at depth: 6
% 0.18/0.33 % launching worker at depth: 8
% 0.18/0.33 % launching worker at depth: 9
% 0.18/0.33 % SZS status Theorem for theBenchmark
% 0.18/0.33 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------