%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWB012+2 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n021.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 04:05:11 PM UTC 2025
% Result : Theorem 12.22s 1.93s
% Output : CNFRefutation 12.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 54 ( 31 unt; 0 def)
% Number of atoms : 138 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 137 ( 53 ~; 50 |; 27 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 21 con; 0-1 aty)
% Number of variables : 50 ( 5 sgn 18 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_012_Template_Class,plain,
( iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_012_Template_Class) ).
fof(testcase_conclusion_fullish_012_Template_Class_negated,plain,
~ ( iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
inference(negate_conjecture,[status(cth)],[testcase_conclusion_fullish_012_Template_Class]) ).
cnf(19,plain,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(cnf,[status(esa)],[testcase_conclusion_fullish_012_Template_Class_negated]) ).
cnf(l0,plain,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(instantiation,[status(thm)],[19]) ).
fof(rdfs_cext_def,plain,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
cnf(1,plain,
( ~ icext(X0,X1)
| iext(uri_rdf_type,X1,X0) ),
inference(cnf,[status(esa)],[rdfs_cext_def]) ).
cnf(l3,plain,
( ~ icext(uri_owl_FunctionalProperty,uri_ex_name)
| iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l1,plain,
( ~ icext(uri_foaf_Person,uri_ex_alice)
| iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
inference(instantiation,[status(thm)],[1]) ).
fof(rdfs_domain_main,plain,
! [P,C,X,Y] :
( ( iext(uri_rdfs_domain,P,C)
& iext(P,X,Y) )
=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_main) ).
cnf(2,plain,
( ~ iext(X0,X1,X2)
| ~ iext(uri_rdfs_domain,X0,X3)
| icext(X3,X1) ),
inference(cnf,[status(esa)],[rdfs_domain_main]) ).
cnf(l2,plain,
( ~ iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
| ~ iext(uri_rdfs_domain,uri_ex_name,uri_foaf_Person)
| icext(uri_foaf_Person,uri_ex_alice) ),
inference(instantiation,[status(thm)],[2]) ).
fof(owl_bool_intersectionof_class_003,plain,
! [Z,S1,C1,S2,C2,S3,C3] :
( ( iext(uri_rdf_first,S1,C1)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S2,C2)
& iext(uri_rdf_rest,S2,S3)
& iext(uri_rdf_first,S3,C3)
& iext(uri_rdf_rest,S3,uri_rdf_nil) )
=> ( iext(uri_owl_intersectionOf,Z,S1)
<=> ( ic(Z)
& ic(C1)
& ic(C2)
& ic(C3)
& ! [X] :
( icext(Z,X)
<=> ( icext(C1,X)
& icext(C2,X)
& icext(C3,X) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_003) ).
cnf(8,plain,
( ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ icext(X0,X7)
| icext(X4,X7) ),
inference(cnf,[status(esa)],[owl_bool_intersectionof_class_003]) ).
cnf(l6,plain,
( ~ iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK2)
| ~ iext(uri_rdf_first,sK2,uri_owl_DatatypeProperty)
| ~ iext(uri_rdf_first,sK3,uri_owl_FunctionalProperty)
| ~ iext(uri_rdf_first,sK4,sK5)
| ~ iext(uri_rdf_rest,sK2,sK3)
| ~ iext(uri_rdf_rest,sK3,sK4)
| ~ iext(uri_rdf_rest,sK4,uri_rdf_nil)
| ~ icext(uri_ex_PersonAttribute,uri_ex_name)
| icext(uri_owl_FunctionalProperty,uri_ex_name) ),
inference(instantiation,[status(thm)],[8]) ).
fof(testcase_premise_fullish_012_Template_Class,plain,
? [BNODE_l1,BNODE_l2,BNODE_l3,BNODE_r] :
( iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,BNODE_l1)
& iext(uri_rdf_first,BNODE_l1,uri_owl_DatatypeProperty)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l2,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,BNODE_l2,BNODE_l3)
& iext(uri_rdf_first,BNODE_l3,BNODE_r)
& iext(uri_rdf_rest,BNODE_l3,uri_rdf_nil)
& iext(uri_rdf_type,BNODE_r,uri_owl_Restriction)
& iext(uri_owl_onProperty,BNODE_r,uri_rdfs_domain)
& iext(uri_owl_hasValue,BNODE_r,uri_foaf_Person)
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_012_Template_Class) ).
cnf(27,plain,
iext(uri_rdf_rest,sK4,uri_rdf_nil),
inference(cnf,[status(esa)],[testcase_premise_fullish_012_Template_Class]) ).
cnf(l664,plain,
iext(uri_rdf_rest,sK4,uri_rdf_nil),
inference(instantiation,[status(thm)],[27]) ).
cnf(23,plain,
iext(uri_rdf_rest,sK2,sK3),
inference(cnf,[status(esa)],[testcase_premise_fullish_012_Template_Class]) ).
cnf(l678,plain,
iext(uri_rdf_rest,sK2,sK3),
inference(instantiation,[status(thm)],[23]) ).
cnf(24,plain,
iext(uri_rdf_first,sK3,uri_owl_FunctionalProperty),
inference(cnf,[status(esa)],[testcase_premise_fullish_012_Template_Class]) ).
cnf(l9,plain,
iext(uri_rdf_first,sK3,uri_owl_FunctionalProperty),
inference(instantiation,[status(thm)],[24]) ).
fof(owl_restrict_hasvalue,plain,
! [Z,P,A] :
( ( iext(uri_owl_hasValue,Z,A)
& iext(uri_owl_onProperty,Z,P) )
=> ! [X] :
( icext(Z,X)
<=> iext(P,X,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_hasvalue) ).
cnf(17,plain,
( ~ iext(uri_owl_hasValue,X0,X1)
| ~ iext(uri_owl_onProperty,X0,X2)
| ~ icext(X0,X3)
| iext(X2,X3,X1) ),
inference(cnf,[status(esa)],[owl_restrict_hasvalue]) ).
cnf(l4,plain,
( ~ iext(uri_owl_hasValue,sK5,uri_foaf_Person)
| ~ iext(uri_owl_onProperty,sK5,uri_rdfs_domain)
| ~ icext(sK5,uri_ex_name)
| iext(uri_rdfs_domain,uri_ex_name,uri_foaf_Person) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(25,plain,
iext(uri_rdf_rest,sK3,sK4),
inference(cnf,[status(esa)],[testcase_premise_fullish_012_Template_Class]) ).
cnf(l667,plain,
iext(uri_rdf_rest,sK3,sK4),
inference(instantiation,[status(thm)],[25]) ).
cnf(21,plain,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK2),
inference(cnf,[status(esa)],[testcase_premise_fullish_012_Template_Class]) ).
cnf(l22,plain,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK2),
inference(instantiation,[status(thm)],[21]) ).
cnf(0,plain,
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf,[status(esa)],[rdfs_cext_def]) ).
cnf(l759,plain,
( ~ iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
| icext(uri_ex_PersonAttribute,uri_ex_name) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(30,plain,
iext(uri_owl_hasValue,sK5,uri_foaf_Person),
inference(cnf,[status(esa)],[testcase_premise_fullish_012_Template_Class]) ).
cnf(l7,plain,
iext(uri_owl_hasValue,sK5,uri_foaf_Person),
inference(instantiation,[status(thm)],[30]) ).
cnf(29,plain,
iext(uri_owl_onProperty,sK5,uri_rdfs_domain),
inference(cnf,[status(esa)],[testcase_premise_fullish_012_Template_Class]) ).
cnf(l14,plain,
iext(uri_owl_onProperty,sK5,uri_rdfs_domain),
inference(instantiation,[status(thm)],[29]) ).
cnf(26,plain,
iext(uri_rdf_first,sK4,sK5),
inference(cnf,[status(esa)],[testcase_premise_fullish_012_Template_Class]) ).
cnf(l677,plain,
iext(uri_rdf_first,sK4,sK5),
inference(instantiation,[status(thm)],[26]) ).
cnf(31,plain,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
inference(cnf,[status(esa)],[testcase_premise_fullish_012_Template_Class]) ).
cnf(l846,plain,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
inference(instantiation,[status(thm)],[31]) ).
cnf(9,plain,
( ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ icext(X0,X7)
| icext(X6,X7) ),
inference(cnf,[status(esa)],[owl_bool_intersectionof_class_003]) ).
cnf(l8,plain,
( ~ iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK2)
| ~ iext(uri_rdf_first,sK2,uri_owl_DatatypeProperty)
| ~ iext(uri_rdf_first,sK3,uri_owl_FunctionalProperty)
| ~ iext(uri_rdf_first,sK4,sK5)
| ~ iext(uri_rdf_rest,sK2,sK3)
| ~ iext(uri_rdf_rest,sK3,sK4)
| ~ iext(uri_rdf_rest,sK4,uri_rdf_nil)
| ~ icext(uri_ex_PersonAttribute,uri_ex_name)
| icext(sK5,uri_ex_name) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(22,plain,
iext(uri_rdf_first,sK2,uri_owl_DatatypeProperty),
inference(cnf,[status(esa)],[testcase_premise_fullish_012_Template_Class]) ).
cnf(l36,plain,
iext(uri_rdf_first,sK2,uri_owl_DatatypeProperty),
inference(instantiation,[status(thm)],[22]) ).
cnf(l427,plain,
iext(uri_rdf_rest,sK4,uri_rdf_nil),
inference(instantiation,[status(thm)],[27]) ).
cnf(l421,plain,
iext(uri_rdf_first,sK3,uri_owl_FunctionalProperty),
inference(instantiation,[status(thm)],[24]) ).
cnf(l426,plain,
iext(uri_rdf_rest,sK2,sK3),
inference(instantiation,[status(thm)],[23]) ).
cnf(l111,plain,
iext(uri_rdf_first,sK2,uri_owl_DatatypeProperty),
inference(instantiation,[status(thm)],[22]) ).
cnf(l425,plain,
iext(uri_rdf_first,sK4,sK5),
inference(instantiation,[status(thm)],[26]) ).
cnf(l435,plain,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK2),
inference(instantiation,[status(thm)],[21]) ).
cnf(32,plain,
iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
inference(cnf,[status(esa)],[testcase_premise_fullish_012_Template_Class]) ).
cnf(l12,plain,
iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
inference(instantiation,[status(thm)],[32]) ).
cnf(l423,plain,
iext(uri_rdf_rest,sK3,sK4),
inference(instantiation,[status(thm)],[25]) ).
cnf(l450,plain,
( ~ iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
| icext(uri_ex_PersonAttribute,uri_ex_name) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l476,plain,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
inference(instantiation,[status(thm)],[31]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l1,l2,l6,l664,l678,l9,l4,l667,l22,l759,l7,l14,l677,l846,l8,l36,l427,l421,l426,l111,l425,l435,l12,l423,l450,l476]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB012+2 : TPTP v9.0.0. Released v5.2.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 22 03:59:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 0.12/0.36 % launching worker at depth: 12
% 2.37/0.64 % launching worker at depth: 13
% 12.22/1.93 % SZS status Theorem for theBenchmark
% 12.22/1.93 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------