%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWB009+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 09:00:54 AM UTC 2026
% Result : Theorem 0.13s 0.37s
% Output : Proof 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_cext_def,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('theBenchmark.p',rdfs_cext_def) ).
fof(owl_restrict_somevaluesfrom,axiom,
! [Z,P,C] :
( ( iext(uri_owl_onProperty,Z,P)
& iext(uri_owl_someValuesFrom,Z,C) )
=> ! [X] :
( icext(Z,X)
<=> ? [Y] :
( icext(C,Y)
& iext(P,X,Y) ) ) ),
file('theBenchmark.p',owl_restrict_somevaluesfrom) ).
fof(testcase_conclusion_fullish_009_Existential_Restriction_Entailments,conjecture,
? [BNODE_x] :
( iext(uri_rdf_type,BNODE_x,uri_ex_c)
& iext(uri_ex_p,uri_ex_s,BNODE_x) ),
file('theBenchmark.p',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).
fof(testcase_premise_fullish_009_Existential_Restriction_Entailments,axiom,
? [BNODE_z] :
( iext(uri_owl_someValuesFrom,BNODE_z,uri_ex_c)
& iext(uri_owl_onProperty,BNODE_z,uri_ex_p)
& iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_s,BNODE_z)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
file('theBenchmark.p',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).
fof(f_1_1,plain,
! [X,C] :
( ( iext(uri_rdf_type,X,C)
| ~ icext(C,X) )
& ( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(fof_nnf,[status(thm)],[rdfs_cext_def]) ).
fof(f_1_2,plain,
! [U_1,U_0] :
( ( iext(uri_rdf_type,U_1,U_0)
| ~ icext(U_0,U_1) )
& ( icext(U_0,U_1)
| ~ iext(uri_rdf_type,U_1,U_0) ) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
( ! [U_5,U_3] :
( iext(uri_rdf_type,U_5,U_3)
| ~ icext(U_3,U_5) )
& ! [U_4,U_2] :
( icext(U_2,U_4)
| ~ iext(uri_rdf_type,U_4,U_2) ) ),
inference(miniscope,[status(thm)],[f_1_2]) ).
cnf(f_1_4,plain,
( icext(U_2,U_4)
| ~ iext(uri_rdf_type,U_4,U_2) ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_5,plain,
( iext(uri_rdf_type,U_5,U_3)
| ~ icext(U_3,U_5) ),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [Z,P,C] :
( ! [X] :
( ( icext(Z,X)
| ! [Y] :
( ~ icext(C,Y)
| ~ iext(P,X,Y) ) )
& ( ? [Y] :
( icext(C,Y)
& iext(P,X,Y) )
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_someValuesFrom,Z,C) ),
inference(fof_nnf,[status(thm)],[owl_restrict_somevaluesfrom]) ).
fof(f_2_2,plain,
! [U_11,U_10,U_9] :
( ! [U_8] :
( ( icext(U_11,U_8)
| ! [U_7] :
( ~ icext(U_9,U_7)
| ~ iext(U_10,U_8,U_7) ) )
& ( ? [U_6] :
( icext(U_9,U_6)
& iext(U_10,U_8,U_6) )
| ~ icext(U_11,U_8) ) )
| ~ iext(uri_owl_onProperty,U_11,U_10)
| ~ iext(uri_owl_someValuesFrom,U_11,U_9) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_11,U_10,U_9] :
( ( ! [U_13] :
( icext(U_11,U_13)
| ! [U_7] :
( ~ icext(U_9,U_7)
| ~ iext(U_10,U_13,U_7) ) )
& ! [U_12] :
( ? [U_6] :
( icext(U_9,U_6)
& iext(U_10,U_12,U_6) )
| ~ icext(U_11,U_12) ) )
| ~ iext(uri_owl_onProperty,U_11,U_10)
| ~ iext(uri_owl_someValuesFrom,U_11,U_9) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
fof(f_2_4,plain,
! [U_11,U_10,U_9] :
( ( ! [U_13] :
( icext(U_11,U_13)
| ! [U_7] :
( ~ icext(U_9,U_7)
| ~ iext(U_10,U_13,U_7) ) )
& ! [U_12] :
( ( icext(U_9,sK1(U_11,U_10,U_9,U_12))
& iext(U_10,U_12,sK1(U_11,U_10,U_9,U_12)) )
| ~ icext(U_11,U_12) ) )
| ~ iext(uri_owl_onProperty,U_11,U_10)
| ~ iext(uri_owl_someValuesFrom,U_11,U_9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_6,sK1(U_11,U_10,U_9,U_12))],[f_2_3]) ).
cnf(f_2_5,plain,
( iext(U_10,U_12,sK1(U_11,U_10,U_9,U_12))
| ~ icext(U_11,U_12)
| ~ iext(uri_owl_onProperty,U_11,U_10)
| ~ iext(uri_owl_someValuesFrom,U_11,U_9) ),
inference(clausify,[status(thm)],[f_2_4]) ).
cnf(f_2_6,plain,
( icext(U_9,sK1(U_11,U_10,U_9,U_12))
| ~ icext(U_11,U_12)
| ~ iext(uri_owl_onProperty,U_11,U_10)
| ~ iext(uri_owl_someValuesFrom,U_11,U_9) ),
inference(clausify,[status(thm)],[f_2_4]) ).
cnf(f_2_7,plain,
( icext(U_11,U_13)
| ~ icext(U_9,U_7)
| ~ iext(U_10,U_13,U_7)
| ~ iext(uri_owl_onProperty,U_11,U_10)
| ~ iext(uri_owl_someValuesFrom,U_11,U_9) ),
inference(clausify,[status(thm)],[f_2_4]) ).
fof(f_3_1,negated_conjecture,
~ ? [BNODE_x] :
( iext(uri_rdf_type,BNODE_x,uri_ex_c)
& iext(uri_ex_p,uri_ex_s,BNODE_x) ),
inference(negate,[status(cth)],[testcase_conclusion_fullish_009_Existential_Restriction_Entailments]) ).
fof(f_3_2,negated_conjecture,
! [BNODE_x] :
( ~ iext(uri_rdf_type,BNODE_x,uri_ex_c)
| ~ iext(uri_ex_p,uri_ex_s,BNODE_x) ),
inference(fof_nnf,[status(thm)],[f_3_1]) ).
fof(f_3_3,negated_conjecture,
! [U_14] :
( ~ iext(uri_rdf_type,U_14,uri_ex_c)
| ~ iext(uri_ex_p,uri_ex_s,U_14) ),
inference(variable_rename,[status(thm)],[f_3_2]) ).
fof(f_3_4,negated_conjecture,
! [U_14] :
( ~ iext(uri_rdf_type,U_14,uri_ex_c)
| ~ iext(uri_ex_p,uri_ex_s,U_14) ),
inference(definitional_conversion,[status(esa)],[f_3_3]) ).
cnf(f_3_5,negated_conjecture,
( ~ iext(uri_rdf_type,U_14,uri_ex_c)
| ~ iext(uri_ex_p,uri_ex_s,U_14) ),
inference(clausify,[status(thm)],[f_3_4]) ).
fof(f_4_1,plain,
? [BNODE_z] :
( iext(uri_owl_someValuesFrom,BNODE_z,uri_ex_c)
& iext(uri_owl_onProperty,BNODE_z,uri_ex_p)
& iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_s,BNODE_z)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(fof_nnf,[status(thm)],[testcase_premise_fullish_009_Existential_Restriction_Entailments]) ).
fof(f_4_2,plain,
? [U_15] :
( iext(uri_owl_someValuesFrom,U_15,uri_ex_c)
& iext(uri_owl_onProperty,U_15,uri_ex_p)
& iext(uri_rdf_type,U_15,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_s,U_15)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ? [U_15] :
( iext(uri_owl_someValuesFrom,U_15,uri_ex_c)
& iext(uri_owl_onProperty,U_15,uri_ex_p)
& iext(uri_rdf_type,U_15,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_s,U_15) )
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
fof(f_4_4,plain,
( iext(uri_owl_someValuesFrom,sK2,uri_ex_c)
& iext(uri_owl_onProperty,sK2,uri_ex_p)
& iext(uri_rdf_type,sK2,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_s,sK2)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_15,sK2)],[f_4_3]) ).
cnf(f_4_5,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_6,plain,
iext(uri_rdf_type,uri_ex_c,uri_owl_Class),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_7,plain,
iext(uri_rdf_type,uri_ex_s,sK2),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_8,plain,
iext(uri_rdf_type,sK2,uri_owl_Restriction),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_9,plain,
iext(uri_owl_onProperty,sK2,uri_ex_p),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_10,plain,
iext(uri_owl_someValuesFrom,sK2,uri_ex_c),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB009+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 01:03:26 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------