%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWW302+1 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 05:04:09 PM UTC 2025
% Result : Theorem 0.47s 0.65s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,plain,
! [B_Z,B_s] :
( v_P(B_Z,B_s)
=> ! [B_s_H] :
( ! [B_Z_H] :
( v_P(B_Z_H,B_s)
=> v_Q_H(B_Z_H,B_s_H) )
=> v_Q(B_Z,B_s_H) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(conj_1_negated,plain,
~ ! [B_Z,B_s] :
( v_P(B_Z,B_s)
=> ! [B_s_H] :
( ! [B_Z_H] :
( v_P(B_Z_H,B_s)
=> v_Q_H(B_Z_H,B_s_H) )
=> v_Q(B_Z,B_s_H) ) ),
inference(negate_conjecture,[status(cth)],[conj_1]) ).
cnf(7444,plain,
( ~ v_P(X0,sK703)
| v_Q_H(X0,sK704) ),
inference(cnf,[status(esa)],[conj_1_negated]) ).
cnf(l0,plain,
( ~ v_P(sK702,sK703)
| v_Q_H(sK702,sK704) ),
inference(instantiation,[status(thm)],[7444]) ).
cnf(7443,plain,
v_P(sK702,sK703),
inference(cnf,[status(esa)],[conj_1_negated]) ).
cnf(l1,plain,
v_P(sK702,sK703),
inference(instantiation,[status(thm)],[7443]) ).
fof(conj_0,plain,
! [B_Z,B_s] :
( v_Q_H(B_Z,B_s)
=> v_Q(B_Z,B_s) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
cnf(7442,plain,
( ~ v_Q_H(X0,X1)
| v_Q(X0,X1) ),
inference(cnf,[status(esa)],[conj_0]) ).
cnf(l5,plain,
( ~ v_Q_H(sK702,sK704)
| v_Q(sK702,sK704) ),
inference(instantiation,[status(thm)],[7442]) ).
cnf(7445,plain,
~ v_Q(sK702,sK704),
inference(cnf,[status(esa)],[conj_1_negated]) ).
cnf(l7,plain,
~ v_Q(sK702,sK704),
inference(instantiation,[status(thm)],[7445]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l5,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.11 % Problem : SWW302+1 : TPTP v9.0.0. Released v5.2.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Jul 22 13:19:04 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.47/0.64 % launching worker at depth: 1
% 0.47/0.64 % launching worker at depth: 2
% 0.47/0.64 % launching worker at depth: 3
% 0.47/0.64 % launching worker at depth: 5
% 0.47/0.64 % launching worker at depth: 6
% 0.47/0.64 % launching worker at depth: 4
% 0.47/0.64 % launching worker at depth: 7
% 0.47/0.64 % launching worker at depth: 8
% 0.47/0.64 % launching worker at depth: 9
% 0.47/0.65 % SZS status Theorem for theBenchmark
% 0.47/0.65 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------