%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN969+1 : TPTP v9.0.0. Released v3.1.0.
% 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 09:28:44 PM UTC 2025
% Result : Theorem 0.19s 0.34s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 21 ( 7 ~; 4 |; 2 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,plain,
! [B] :
( ( ! [X] :
( p(X)
=> q(X) )
& r(B) )
=> ( ! [Y] :
( r(Y)
=> p(Y) )
=> q(B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(prove_this_negated,plain,
~ ! [B] :
( ( ! [X] :
( p(X)
=> q(X) )
& r(B) )
=> ( ! [Y] :
( r(Y)
=> p(Y) )
=> q(B) ) ),
inference(negate_conjecture,[status(cth)],[prove_this]) ).
cnf(1,plain,
r(sK1),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l0,plain,
r(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
( ~ r(X0)
| p(X0) ),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l1,plain,
( ~ r(sK1)
| p(sK1) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
( ~ p(X0)
| q(X0) ),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l2,plain,
( ~ p(sK1)
| q(sK1) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
~ q(sK1),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l3,plain,
~ q(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN969+1 : TPTP v9.0.0. Released v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n031.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 18:52:19 EDT 2025
% 0.19/0.34 % CPUTime :
% 0.19/0.34 % launching worker at depth: 2
% 0.19/0.34 % launching worker at depth: 1
% 0.19/0.34 % launching worker at depth: 7
% 0.19/0.34 % launching worker at depth: 3
% 0.19/0.34 % launching worker at depth: 4
% 0.19/0.34 % launching worker at depth: 6
% 0.19/0.34 % launching worker at depth: 5
% 0.19/0.34 % launching worker at depth: 8
% 0.19/0.34 % launching worker at depth: 9
% 0.19/0.34 % SZS status Theorem for theBenchmark
% 0.19/0.34 % launching worker at depth: 10% SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------