%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : PRO011+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 12:47:08 PM UTC 2025
% Result : Theorem 38.73s 5.13s
% Output : CNFRefutation 38.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 3 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 67 ( 23 ~; 17 |; 19 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 27 ( 1 sgn 6 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,plain,
! [X165] :
( occurrence_of(X165,tptp0)
=> ? [X166,X167] :
( leaf_occ(X167,X165)
& ( occurrence_of(X167,tptp1)
=> ~ ? [X168] :
( occurrence_of(X168,tptp2)
& subactivity_occurrence(X168,X165)
& min_precedes(X166,X168,tptp0) ) )
& ( occurrence_of(X167,tptp2)
=> ~ ? [X169] :
( occurrence_of(X169,tptp1)
& subactivity_occurrence(X169,X165)
& min_precedes(X166,X169,tptp0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(goals_negated,plain,
~ ! [X165] :
( occurrence_of(X165,tptp0)
=> ? [X166,X167] :
( leaf_occ(X167,X165)
& ( occurrence_of(X167,tptp1)
=> ~ ? [X168] :
( occurrence_of(X168,tptp2)
& subactivity_occurrence(X168,X165)
& min_precedes(X166,X168,tptp0) ) )
& ( occurrence_of(X167,tptp2)
=> ~ ? [X169] :
( occurrence_of(X169,tptp1)
& subactivity_occurrence(X169,X165)
& min_precedes(X166,X169,tptp0) ) ) ) ),
inference(negate_conjecture,[status(cth)],[goals]) ).
cnf(101,plain,
occurrence_of(sK24,tptp0),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l0,plain,
occurrence_of(sK24,tptp0),
inference(instantiation,[status(thm)],[101]) ).
fof(sos_37,plain,
! [X113,X114,X115] :
( ( occurrence_of(X113,X115)
& leaf_occ(X114,X113) )
=> ~ ? [X116] : min_precedes(X114,X116,X115) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_37) ).
cnf(68,plain,
( ~ occurrence_of(X0,X1)
| ~ min_precedes(X2,X3,X1)
| ~ leaf_occ(X2,X0) ),
inference(cnf,[status(esa)],[sos_37]) ).
cnf(l1,plain,
( ~ occurrence_of(sK24,tptp0)
| ~ min_precedes(sK23(sK24),sK25(sK23(sK24),sK23(sK24)),tptp0)
| ~ leaf_occ(sK23(sK24),sK24) ),
inference(instantiation,[status(thm)],[68]) ).
fof(sos_49,plain,
! [X161] :
( occurrence_of(X161,tptp0)
=> ? [X162,X163,X164] :
( occurrence_of(X162,tptp3)
& root_occ(X162,X161)
& occurrence_of(X163,tptp4)
& next_subocc(X162,X163,tptp0)
& ( occurrence_of(X164,tptp1)
| occurrence_of(X164,tptp2) )
& next_subocc(X163,X164,tptp0)
& leaf_occ(X164,X161) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
cnf(88,plain,
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK23(X0),X0) ),
inference(cnf,[status(esa)],[sos_49]) ).
cnf(l11,plain,
( ~ occurrence_of(sK24,tptp0)
| leaf_occ(sK23(sK24),sK24) ),
inference(instantiation,[status(thm)],[88]) ).
cnf(105,plain,
( ~ leaf_occ(X0,sK24)
| min_precedes(X1,sK25(X1,X0),tptp0)
| sP0(X1,X0) ),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l2,plain,
( ~ leaf_occ(sK23(sK24),sK24)
| min_precedes(sK23(sK24),sK25(sK23(sK24),sK23(sK24)),tptp0)
| sP0(sK23(sK24),sK23(sK24)) ),
inference(instantiation,[status(thm)],[105]) ).
cnf(106,plain,
( min_precedes(X0,sK26(X0,X1),tptp0)
| ~ sP0(X0,X1) ),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l613,plain,
( min_precedes(sK23(sK24),sK26(sK23(sK24),sK23(sK24)),tptp0)
| ~ sP0(sK23(sK24),sK23(sK24)) ),
inference(instantiation,[status(thm)],[106]) ).
cnf(l4,plain,
( ~ occurrence_of(sK24,tptp0)
| leaf_occ(sK23(sK24),sK24) ),
inference(instantiation,[status(thm)],[88]) ).
cnf(l684,plain,
( ~ occurrence_of(sK24,tptp0)
| ~ min_precedes(sK23(sK24),sK26(sK23(sK24),sK23(sK24)),tptp0)
| ~ leaf_occ(sK23(sK24),sK24) ),
inference(instantiation,[status(thm)],[68]) ).
cnf(l685,plain,
( ~ occurrence_of(sK24,tptp0)
| leaf_occ(sK23(sK24),sK24) ),
inference(instantiation,[status(thm)],[88]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l11,l2,l613,l4,l684,l685]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.06 % Problem : PRO011+3 : TPTP v9.0.0. Released v4.0.0.
% 0.01/0.07 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.25 % Computer : n018.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Mon Jul 21 15:38:19 EDT 2025
% 0.06/0.25 % CPUTime :
% 0.06/0.26 % launching worker at depth: 1
% 0.06/0.26 % launching worker at depth: 4
% 0.06/0.26 % launching worker at depth: 2
% 0.06/0.26 % launching worker at depth: 3
% 0.06/0.26 % launching worker at depth: 5
% 0.06/0.26 % launching worker at depth: 6
% 0.06/0.26 % launching worker at depth: 7
% 0.06/0.26 % launching worker at depth: 8
% 0.10/0.26 % launching worker at depth: 9
% 0.10/0.29 % launching worker at depth: 10
% 3.00/0.70 % launching worker at depth: 11
% 38.73/5.13 % SZS status Theorem for theBenchmark
% 38.73/5.13 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------