%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN921+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 09:28:38 PM UTC 2025
% Result : Theorem 0.09s 0.29s
% Output : CNFRefutation 0.09s
% 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 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 10 ( 4 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,plain,
? [X] :
! [Y] :
( ( p(Y)
=> q(X) )
=> ( p(X)
=> q(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(prove_this_negated,plain,
~ ? [X] :
! [Y] :
( ( p(Y)
=> q(X) )
=> ( p(X)
=> q(X) ) ),
inference(negate_conjecture,[status(cth)],[prove_this]) ).
cnf(1,plain,
p(X0),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l0,plain,
p(sK1(X0_2)),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
( ~ p(sK1(X0))
| q(X0) ),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l1,plain,
( ~ p(sK1(X0_2))
| q(X0_2) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
~ q(X0),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l2,plain,
~ q(X0_2),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN921+1 : TPTP v9.0.0. Released v3.1.0.
% 0.08/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.28 % Computer : n024.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Tue Jul 22 18:49:19 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % launching worker at depth: 2
% 0.09/0.29 % launching worker at depth: 5
% 0.09/0.29 % launching worker at depth: 3
% 0.09/0.29 % launching worker at depth: 1
% 0.09/0.29 % launching worker at depth: 4
% 0.09/0.29 % launching worker at depth: 6
% 0.09/0.29 % launching worker at depth: 7
% 0.09/0.29 % launching worker at depth: 8
% 0.09/0.29 % SZS status Theorem for theBenchmark
% 0.09/0.29 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------