%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN376+1 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n031.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 09:27:34 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 : 11 ( 5 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 9 ~; 6 |; 0 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 10 ( 2 sgn 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2127,plain,
( ? [X] :
! [Y] :
( big_p(Y)
<=> big_p(X) )
=> ( ! [X] : big_p(X)
| ! [X] : ~ big_p(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2127) ).
fof(x2127_negated,plain,
~ ( ? [X] :
! [Y] :
( big_p(Y)
<=> big_p(X) )
=> ( ! [X] : big_p(X)
| ! [X] : ~ big_p(X) ) ),
inference(negate_conjecture,[status(cth)],[x2127]) ).
cnf(3,plain,
big_p(sK3),
inference(cnf,[status(esa)],[x2127_negated]) ).
cnf(l0,plain,
big_p(sK3),
inference(instantiation,[status(thm)],[3]) ).
cnf(0,plain,
( ~ big_p(X0)
| big_p(sK1) ),
inference(cnf,[status(esa)],[x2127_negated]) ).
cnf(l1,plain,
( ~ big_p(sK3)
| big_p(sK1) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
( ~ big_p(sK1)
| big_p(X0) ),
inference(cnf,[status(esa)],[x2127_negated]) ).
cnf(l2,plain,
( ~ big_p(sK1)
| big_p(sK2) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
~ big_p(sK2),
inference(cnf,[status(esa)],[x2127_negated]) ).
cnf(l3,plain,
~ big_p(sK2),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN376+1 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 22 15:58:19 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
%------------------------------------------------------------------------------