%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN405+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 : n025.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 09:27:39 PM UTC 2025
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 5 ~; 2 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 8 ( 1 sgn 2 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(kalish239,plain,
( ( ! [X] : f(X)
& ? [Y] : g(Y) )
=> ? [Z] :
( f(Z)
& g(Z) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish239) ).
fof(kalish239_negated,plain,
~ ( ( ! [X] : f(X)
& ? [Y] : g(Y) )
=> ? [Z] :
( f(Z)
& g(Z) ) ),
inference(negate_conjecture,[status(cth)],[kalish239]) ).
cnf(0,plain,
f(X0),
inference(cnf,[status(esa)],[kalish239_negated]) ).
cnf(l0,plain,
f(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
( ~ g(X0)
| ~ f(X0) ),
inference(cnf,[status(esa)],[kalish239_negated]) ).
cnf(l1,plain,
( ~ g(sK1)
| ~ f(sK1) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
g(sK1),
inference(cnf,[status(esa)],[kalish239_negated]) ).
cnf(l2,plain,
g(sK1),
inference(instantiation,[status(thm)],[1]) ).
% launching worker at depth: 9
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN405+1 : TPTP v9.0.0. Released v2.0.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 22 16:01:19 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % SZS status Theorem for theBenchmark
% 0.12/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------