%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWB023+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 : n020.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 04:05:16 PM UTC 2025
% Result : Theorem 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 14 unt; 0 def)
% Number of atoms : 66 ( 8 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 58 ( 23 ~; 20 |; 10 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 13 con; 0-0 aty)
% Number of variables : 18 ( 0 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_023_Unique_List_Components,plain,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_023_Unique_List_Components) ).
fof(testcase_conclusion_fullish_023_Unique_List_Components_negated,plain,
~ ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
inference(negate_conjecture,[status(cth)],[testcase_conclusion_fullish_023_Unique_List_Components]) ).
cnf(16,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
inference(cnf,[status(esa)],[testcase_conclusion_fullish_023_Unique_List_Components_negated]) ).
cnf(l0,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
inference(instantiation,[status(thm)],[16]) ).
fof(owl_eqdis_sameas,plain,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
cnf(15,plain,
( X0 != X1
| iext(uri_owl_sameAs,X0,X1) ),
inference(cnf,[status(esa)],[owl_eqdis_sameas]) ).
cnf(l1,plain,
( uri_ex_w != uri_ex_u
| iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(instantiation,[status(thm)],[15]) ).
fof(owl_enum_class_001,plain,
! [Z,S1,A1] :
( ( iext(uri_rdf_first,S1,A1)
& iext(uri_rdf_rest,S1,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,Z,S1)
<=> ( ic(Z)
& ! [X] :
( icext(Z,X)
<=> X = A1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
cnf(3,plain,
( ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ icext(X0,X3)
| X3 = X2 ),
inference(cnf,[status(esa)],[owl_enum_class_001]) ).
cnf(l2,plain,
( ~ iext(uri_owl_oneOf,sK5,sK6)
| ~ iext(uri_rdf_first,sK6,uri_ex_u)
| ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
| ~ icext(sK5,uri_ex_w)
| uri_ex_w = uri_ex_u ),
inference(instantiation,[status(thm)],[3]) ).
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(0,plain,
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf,[status(esa)],[rdfs_cext_def]) ).
cnf(l4,plain,
( ~ iext(uri_rdf_type,uri_ex_w,sK5)
| icext(sK5,uri_ex_w) ),
inference(instantiation,[status(thm)],[0]) ).
fof(testcase_premise_fullish_023_Unique_List_Components,plain,
? [BNODE_o,BNODE_l] :
( iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,uri_ex_w,BNODE_o)
& iext(uri_rdf_type,BNODE_o,uri_owl_Class)
& iext(uri_owl_oneOf,BNODE_o,BNODE_l)
& iext(uri_rdf_first,BNODE_l,uri_ex_u)
& iext(uri_rdf_first,BNODE_l,uri_ex_v)
& iext(uri_rdf_rest,BNODE_l,uri_rdf_nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_023_Unique_List_Components) ).
cnf(23,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(cnf,[status(esa)],[testcase_premise_fullish_023_Unique_List_Components]) ).
cnf(l10,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(instantiation,[status(thm)],[23]) ).
cnf(21,plain,
iext(uri_rdf_first,sK6,uri_ex_u),
inference(cnf,[status(esa)],[testcase_premise_fullish_023_Unique_List_Components]) ).
cnf(l31,plain,
iext(uri_rdf_first,sK6,uri_ex_u),
inference(instantiation,[status(thm)],[21]) ).
cnf(18,plain,
iext(uri_rdf_type,uri_ex_w,sK5),
inference(cnf,[status(esa)],[testcase_premise_fullish_023_Unique_List_Components]) ).
cnf(l9,plain,
iext(uri_rdf_type,uri_ex_w,sK5),
inference(instantiation,[status(thm)],[18]) ).
cnf(20,plain,
iext(uri_owl_oneOf,sK5,sK6),
inference(cnf,[status(esa)],[testcase_premise_fullish_023_Unique_List_Components]) ).
cnf(l8,plain,
iext(uri_owl_oneOf,sK5,sK6),
inference(instantiation,[status(thm)],[20]) ).
cnf(l7,plain,
( uri_ex_w != uri_ex_w
| iext(uri_owl_sameAs,uri_ex_w,uri_ex_w) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l19,plain,
( ~ iext(uri_owl_oneOf,sK5,sK6)
| ~ iext(uri_rdf_first,sK6,uri_ex_v)
| ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
| ~ icext(sK5,uri_ex_w)
| uri_ex_w = uri_ex_v ),
inference(instantiation,[status(thm)],[3]) ).
cnf(22,plain,
iext(uri_rdf_first,sK6,uri_ex_v),
inference(cnf,[status(esa)],[testcase_premise_fullish_023_Unique_List_Components]) ).
cnf(l21,plain,
iext(uri_rdf_first,sK6,uri_ex_v),
inference(instantiation,[status(thm)],[22]) ).
cnf(l60,plain,
iext(uri_owl_oneOf,sK5,sK6),
inference(instantiation,[status(thm)],[20]) ).
cnf(l44,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(instantiation,[status(thm)],[23]) ).
cnf(l96,plain,
( ~ iext(uri_rdf_type,uri_ex_w,sK5)
| icext(sK5,uri_ex_w) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l99,plain,
iext(uri_rdf_type,uri_ex_w,sK5),
inference(instantiation,[status(thm)],[18]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l10,l31,l9,l8,l7,l19,l21,l60,l44,l96,l99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB023+2 : TPTP v9.0.0. Released v5.2.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n020.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 04:11:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 9
% 0.18/0.36 % launching worker at depth: 10
% 0.18/0.37 % launching worker at depth: 11
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------