%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWB012+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 : n010.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 09:00:56 AM UTC 2026
% Result : Theorem 120.03s 120.38s
% Output : Proof 120.12s
% 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(rdfs_domain_main,axiom,
! [P,C,X,Y] :
( ( iext(P,X,Y)
& iext(uri_rdfs_domain,P,C) )
=> icext(C,X) ),
file('theBenchmark.p',rdfs_domain_main) ).
fof(owl_bool_intersectionof_class_003,axiom,
! [Z,S1,C1,S2,C2,S3,C3] :
( ( iext(uri_rdf_rest,S3,uri_rdf_nil)
& iext(uri_rdf_first,S3,C3)
& iext(uri_rdf_rest,S2,S3)
& iext(uri_rdf_first,S2,C2)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S1,C1) )
=> ( iext(uri_owl_intersectionOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> ( icext(C3,X)
& icext(C2,X)
& icext(C1,X) ) )
& ic(C3)
& ic(C2)
& ic(C1)
& ic(Z) ) ) ),
file('theBenchmark.p',owl_bool_intersectionof_class_003) ).
fof(owl_restrict_hasvalue,axiom,
! [Z,P,A] :
( ( iext(uri_owl_onProperty,Z,P)
& iext(uri_owl_hasValue,Z,A) )
=> ! [X] :
( icext(Z,X)
<=> iext(P,X,A) ) ),
file('theBenchmark.p',owl_restrict_hasvalue) ).
fof(testcase_conclusion_fullish_012_Template_Class,conjecture,
( iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
& iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
file('theBenchmark.p',testcase_conclusion_fullish_012_Template_Class) ).
fof(testcase_premise_fullish_012_Template_Class,axiom,
? [BNODE_l1,BNODE_l2,BNODE_l3,BNODE_r] :
( iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_owl_hasValue,BNODE_r,uri_foaf_Person)
& iext(uri_owl_onProperty,BNODE_r,uri_rdfs_domain)
& iext(uri_rdf_type,BNODE_r,uri_owl_Restriction)
& iext(uri_rdf_rest,BNODE_l3,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l3,BNODE_r)
& iext(uri_rdf_rest,BNODE_l2,BNODE_l3)
& iext(uri_rdf_first,BNODE_l2,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l1,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,BNODE_l1)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
file('theBenchmark.p',testcase_premise_fullish_012_Template_Class) ).
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,
! [P,C,X,Y] :
( icext(C,X)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_domain,P,C) ),
inference(fof_nnf,[status(thm)],[rdfs_domain_main]) ).
fof(f_2_2,plain,
! [U_9,U_8,U_7,U_6] :
( icext(U_8,U_7)
| ~ iext(U_9,U_7,U_6)
| ~ iext(uri_rdfs_domain,U_9,U_8) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_9,U_8,U_7] :
( ! [U_6] : ~ iext(U_9,U_7,U_6)
| ~ iext(uri_rdfs_domain,U_9,U_8)
| icext(U_8,U_7) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
cnf(f_2_4,plain,
( ~ iext(U_9,U_7,U_6)
| ~ iext(uri_rdfs_domain,U_9,U_8)
| icext(U_8,U_7) ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [Z,S1,C1,S2,C2,S3,C3] :
( ( ( iext(uri_owl_intersectionOf,Z,S1)
| ? [X] :
( ( ~ icext(Z,X)
& icext(C3,X)
& icext(C2,X)
& icext(C1,X) )
| ( ( ~ icext(C3,X)
| ~ icext(C2,X)
| ~ icext(C1,X) )
& icext(Z,X) ) )
| ~ ic(C3)
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z) )
& ( ( ! [X] :
( ( icext(Z,X)
| ~ icext(C3,X)
| ~ icext(C2,X)
| ~ icext(C1,X) )
& ( ( icext(C3,X)
& icext(C2,X)
& icext(C1,X) )
| ~ icext(Z,X) ) )
& ic(C3)
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_intersectionOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ),
inference(fof_nnf,[status(thm)],[owl_bool_intersectionof_class_003]) ).
fof(f_3_2,plain,
! [U_18,U_17,U_16,U_15,U_14,U_13,U_12] :
( ( ( iext(uri_owl_intersectionOf,U_18,U_17)
| ? [U_11] :
( ( ~ icext(U_18,U_11)
& icext(U_12,U_11)
& icext(U_14,U_11)
& icext(U_16,U_11) )
| ( ( ~ icext(U_12,U_11)
| ~ icext(U_14,U_11)
| ~ icext(U_16,U_11) )
& icext(U_18,U_11) ) )
| ~ ic(U_12)
| ~ ic(U_14)
| ~ ic(U_16)
| ~ ic(U_18) )
& ( ( ! [U_10] :
( ( icext(U_18,U_10)
| ~ icext(U_12,U_10)
| ~ icext(U_14,U_10)
| ~ icext(U_16,U_10) )
& ( ( icext(U_12,U_10)
& icext(U_14,U_10)
& icext(U_16,U_10) )
| ~ icext(U_18,U_10) ) )
& ic(U_12)
& ic(U_14)
& ic(U_16)
& ic(U_18) )
| ~ iext(uri_owl_intersectionOf,U_18,U_17) ) )
| ~ iext(uri_rdf_rest,U_13,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_13,U_12)
| ~ iext(uri_rdf_rest,U_15,U_13)
| ~ iext(uri_rdf_first,U_15,U_14)
| ~ iext(uri_rdf_rest,U_17,U_15)
| ~ iext(uri_rdf_first,U_17,U_16) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_18,U_17,U_16,U_15,U_14,U_13,U_12] :
( ( ( iext(uri_owl_intersectionOf,U_18,U_17)
| ? [U_22] :
( ~ icext(U_18,U_22)
& icext(U_12,U_22)
& icext(U_14,U_22)
& icext(U_16,U_22) )
| ? [U_21] :
( ( ~ icext(U_12,U_21)
| ~ icext(U_14,U_21)
| ~ icext(U_16,U_21) )
& icext(U_18,U_21) )
| ~ ic(U_12)
| ~ ic(U_14)
| ~ ic(U_16)
| ~ ic(U_18) )
& ( ( ! [U_20] :
( icext(U_18,U_20)
| ~ icext(U_12,U_20)
| ~ icext(U_14,U_20)
| ~ icext(U_16,U_20) )
& ! [U_19] :
( ( icext(U_12,U_19)
& icext(U_14,U_19)
& icext(U_16,U_19) )
| ~ icext(U_18,U_19) )
& ic(U_12)
& ic(U_14)
& ic(U_16)
& ic(U_18) )
| ~ iext(uri_owl_intersectionOf,U_18,U_17) ) )
| ~ iext(uri_rdf_rest,U_13,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_13,U_12)
| ~ iext(uri_rdf_rest,U_15,U_13)
| ~ iext(uri_rdf_first,U_15,U_14)
| ~ iext(uri_rdf_rest,U_17,U_15)
| ~ iext(uri_rdf_first,U_17,U_16) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
fof(f_3_4,plain,
! [U_18,U_17,U_16,U_15,U_14,U_13,U_12] :
( ( ( iext(uri_owl_intersectionOf,U_18,U_17)
| ? [U_22] :
( ~ icext(U_18,U_22)
& icext(U_12,U_22)
& icext(U_14,U_22)
& icext(U_16,U_22) )
| ( ( ~ icext(U_12,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ icext(U_14,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ icext(U_16,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12)) )
& icext(U_18,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12)) )
| ~ ic(U_12)
| ~ ic(U_14)
| ~ ic(U_16)
| ~ ic(U_18) )
& ( ( ! [U_20] :
( icext(U_18,U_20)
| ~ icext(U_12,U_20)
| ~ icext(U_14,U_20)
| ~ icext(U_16,U_20) )
& ! [U_19] :
( ( icext(U_12,U_19)
& icext(U_14,U_19)
& icext(U_16,U_19) )
| ~ icext(U_18,U_19) )
& ic(U_12)
& ic(U_14)
& ic(U_16)
& ic(U_18) )
| ~ iext(uri_owl_intersectionOf,U_18,U_17) ) )
| ~ iext(uri_rdf_rest,U_13,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_13,U_12)
| ~ iext(uri_rdf_rest,U_15,U_13)
| ~ iext(uri_rdf_first,U_15,U_14)
| ~ iext(uri_rdf_rest,U_17,U_15)
| ~ iext(uri_rdf_first,U_17,U_16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_21,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12))],[f_3_3]) ).
fof(f_3_5,plain,
! [U_18,U_17,U_16,U_15,U_14,U_13,U_12] :
( ( ( iext(uri_owl_intersectionOf,U_18,U_17)
| ( ~ icext(U_18,sK2(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
& icext(U_12,sK2(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
& icext(U_14,sK2(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
& icext(U_16,sK2(U_18,U_17,U_16,U_15,U_14,U_13,U_12)) )
| ( ( ~ icext(U_12,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ icext(U_14,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ icext(U_16,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12)) )
& icext(U_18,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12)) )
| ~ ic(U_12)
| ~ ic(U_14)
| ~ ic(U_16)
| ~ ic(U_18) )
& ( ( ! [U_20] :
( icext(U_18,U_20)
| ~ icext(U_12,U_20)
| ~ icext(U_14,U_20)
| ~ icext(U_16,U_20) )
& ! [U_19] :
( ( icext(U_12,U_19)
& icext(U_14,U_19)
& icext(U_16,U_19) )
| ~ icext(U_18,U_19) )
& ic(U_12)
& ic(U_14)
& ic(U_16)
& ic(U_18) )
| ~ iext(uri_owl_intersectionOf,U_18,U_17) ) )
| ~ iext(uri_rdf_rest,U_13,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_13,U_12)
| ~ iext(uri_rdf_rest,U_15,U_13)
| ~ iext(uri_rdf_first,U_15,U_14)
| ~ iext(uri_rdf_rest,U_17,U_15)
| ~ iext(uri_rdf_first,U_17,U_16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_22,sK2(U_18,U_17,U_16,U_15,U_14,U_13,U_12))],[f_3_4]) ).
cnf(f_3_6,plain,
( ic(U_18)
| ~ iext(uri_owl_intersectionOf,U_18,U_17)
| ~ iext(uri_rdf_rest,U_13,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_13,U_12)
| ~ iext(uri_rdf_rest,U_15,U_13)
| ~ iext(uri_rdf_first,U_15,U_14)
| ~ iext(uri_rdf_rest,U_17,U_15)
| ~ iext(uri_rdf_first,U_17,U_16) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_7,plain,
( ic(U_16)
| ~ iext(uri_owl_intersectionOf,U_18,U_17)
| ~ iext(uri_rdf_rest,U_13,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_13,U_12)
| ~ iext(uri_rdf_rest,U_15,U_13)
| ~ iext(uri_rdf_first,U_15,U_14)
| ~ iext(uri_rdf_rest,U_17,U_15)
| ~ iext(uri_rdf_first,U_17,U_16) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_8,plain,
( ic(U_14)
| ~ iext(uri_owl_intersectionOf,U_18,U_17)
| ~ iext(uri_rdf_rest,U_13,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_13,U_12)
| ~ iext(uri_rdf_rest,U_15,U_13)
| ~ iext(uri_rdf_first,U_15,U_14)
| ~ iext(uri_rdf_rest,U_17,U_15)
| ~ iext(uri_rdf_first,U_17,U_16) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_9,plain,
( ic(U_12)
| ~ iext(uri_owl_intersectionOf,U_18,U_17)
| ~ iext(uri_rdf_rest,U_13,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_13,U_12)
| ~ iext(uri_rdf_rest,U_15,U_13)
| ~ iext(uri_rdf_first,U_15,U_14)
| ~ iext(uri_rdf_rest,U_17,U_15)
| ~ iext(uri_rdf_first,U_17,U_16) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_10,plain,
( icext(U_16,U_19)
| ~ icext(U_18,U_19)
| ~ iext(uri_owl_intersectionOf,U_18,U_17)
| ~ iext(uri_rdf_rest,U_13,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_13,U_12)
| ~ iext(uri_rdf_rest,U_15,U_13)
| ~ iext(uri_rdf_first,U_15,U_14)
| ~ iext(uri_rdf_rest,U_17,U_15)
| ~ iext(uri_rdf_first,U_17,U_16) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_11,plain,
( icext(U_14,U_19)
| ~ icext(U_18,U_19)
| ~ iext(uri_owl_intersectionOf,U_18,U_17)
| ~ iext(uri_rdf_rest,U_13,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_13,U_12)
| ~ iext(uri_rdf_rest,U_15,U_13)
| ~ iext(uri_rdf_first,U_15,U_14)
| ~ iext(uri_rdf_rest,U_17,U_15)
| ~ iext(uri_rdf_first,U_17,U_16) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_12,plain,
( icext(U_12,U_19)
| ~ icext(U_18,U_19)
| ~ iext(uri_owl_intersectionOf,U_18,U_17)
| ~ iext(uri_rdf_rest,U_13,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_13,U_12)
| ~ iext(uri_rdf_rest,U_15,U_13)
| ~ iext(uri_rdf_first,U_15,U_14)
| ~ iext(uri_rdf_rest,U_17,U_15)
| ~ iext(uri_rdf_first,U_17,U_16) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_13,plain,
( icext(U_18,U_20)
| ~ icext(U_12,U_20)
| ~ icext(U_14,U_20)
| ~ icext(U_16,U_20)
| ~ iext(uri_owl_intersectionOf,U_18,U_17)
| ~ iext(uri_rdf_rest,U_13,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_13,U_12)
| ~ iext(uri_rdf_rest,U_15,U_13)
| ~ iext(uri_rdf_first,U_15,U_14)
| ~ iext(uri_rdf_rest,U_17,U_15)
| ~ iext(uri_rdf_first,U_17,U_16) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_14,plain,
( icext(U_16,sK2(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| icext(U_18,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ ic(U_12)
| ~ ic(U_14)
| ~ ic(U_16)
| ~ ic(U_18)
| iext(uri_owl_intersectionOf,U_18,U_17)
| ~ iext(uri_rdf_rest,U_13,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_13,U_12)
| ~ iext(uri_rdf_rest,U_15,U_13)
| ~ iext(uri_rdf_first,U_15,U_14)
| ~ iext(uri_rdf_rest,U_17,U_15)
| ~ iext(uri_rdf_first,U_17,U_16) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_15,plain,
( icext(U_14,sK2(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| icext(U_18,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ ic(U_12)
| ~ ic(U_14)
| ~ ic(U_16)
| ~ ic(U_18)
| iext(uri_owl_intersectionOf,U_18,U_17)
| ~ iext(uri_rdf_rest,U_13,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_13,U_12)
| ~ iext(uri_rdf_rest,U_15,U_13)
| ~ iext(uri_rdf_first,U_15,U_14)
| ~ iext(uri_rdf_rest,U_17,U_15)
| ~ iext(uri_rdf_first,U_17,U_16) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_16,plain,
( icext(U_12,sK2(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| icext(U_18,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ ic(U_12)
| ~ ic(U_14)
| ~ ic(U_16)
| ~ ic(U_18)
| iext(uri_owl_intersectionOf,U_18,U_17)
| ~ iext(uri_rdf_rest,U_13,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_13,U_12)
| ~ iext(uri_rdf_rest,U_15,U_13)
| ~ iext(uri_rdf_first,U_15,U_14)
| ~ iext(uri_rdf_rest,U_17,U_15)
| ~ iext(uri_rdf_first,U_17,U_16) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_17,plain,
( ~ icext(U_18,sK2(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| icext(U_18,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ ic(U_12)
| ~ ic(U_14)
| ~ ic(U_16)
| ~ ic(U_18)
| iext(uri_owl_intersectionOf,U_18,U_17)
| ~ iext(uri_rdf_rest,U_13,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_13,U_12)
| ~ iext(uri_rdf_rest,U_15,U_13)
| ~ iext(uri_rdf_first,U_15,U_14)
| ~ iext(uri_rdf_rest,U_17,U_15)
| ~ iext(uri_rdf_first,U_17,U_16) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_18,plain,
( icext(U_16,sK2(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ icext(U_12,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ icext(U_14,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ icext(U_16,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ ic(U_12)
| ~ ic(U_14)
| ~ ic(U_16)
| ~ ic(U_18)
| iext(uri_owl_intersectionOf,U_18,U_17)
| ~ iext(uri_rdf_rest,U_13,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_13,U_12)
| ~ iext(uri_rdf_rest,U_15,U_13)
| ~ iext(uri_rdf_first,U_15,U_14)
| ~ iext(uri_rdf_rest,U_17,U_15)
| ~ iext(uri_rdf_first,U_17,U_16) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_19,plain,
( icext(U_14,sK2(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ icext(U_12,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ icext(U_14,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ icext(U_16,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ ic(U_12)
| ~ ic(U_14)
| ~ ic(U_16)
| ~ ic(U_18)
| iext(uri_owl_intersectionOf,U_18,U_17)
| ~ iext(uri_rdf_rest,U_13,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_13,U_12)
| ~ iext(uri_rdf_rest,U_15,U_13)
| ~ iext(uri_rdf_first,U_15,U_14)
| ~ iext(uri_rdf_rest,U_17,U_15)
| ~ iext(uri_rdf_first,U_17,U_16) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_20,plain,
( icext(U_12,sK2(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ icext(U_12,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ icext(U_14,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ icext(U_16,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ ic(U_12)
| ~ ic(U_14)
| ~ ic(U_16)
| ~ ic(U_18)
| iext(uri_owl_intersectionOf,U_18,U_17)
| ~ iext(uri_rdf_rest,U_13,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_13,U_12)
| ~ iext(uri_rdf_rest,U_15,U_13)
| ~ iext(uri_rdf_first,U_15,U_14)
| ~ iext(uri_rdf_rest,U_17,U_15)
| ~ iext(uri_rdf_first,U_17,U_16) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_21,plain,
( ~ icext(U_18,sK2(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ icext(U_12,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ icext(U_14,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ icext(U_16,sK1(U_18,U_17,U_16,U_15,U_14,U_13,U_12))
| ~ ic(U_12)
| ~ ic(U_14)
| ~ ic(U_16)
| ~ ic(U_18)
| iext(uri_owl_intersectionOf,U_18,U_17)
| ~ iext(uri_rdf_rest,U_13,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_13,U_12)
| ~ iext(uri_rdf_rest,U_15,U_13)
| ~ iext(uri_rdf_first,U_15,U_14)
| ~ iext(uri_rdf_rest,U_17,U_15)
| ~ iext(uri_rdf_first,U_17,U_16) ),
inference(clausify,[status(thm)],[f_3_5]) ).
fof(f_4_1,plain,
! [Z,P,A] :
( ! [X] :
( ( icext(Z,X)
| ~ iext(P,X,A) )
& ( iext(P,X,A)
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_hasValue,Z,A) ),
inference(fof_nnf,[status(thm)],[owl_restrict_hasvalue]) ).
fof(f_4_2,plain,
! [U_26,U_25,U_24] :
( ! [U_23] :
( ( icext(U_26,U_23)
| ~ iext(U_25,U_23,U_24) )
& ( iext(U_25,U_23,U_24)
| ~ icext(U_26,U_23) ) )
| ~ iext(uri_owl_onProperty,U_26,U_25)
| ~ iext(uri_owl_hasValue,U_26,U_24) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
! [U_26,U_25,U_24] :
( ( ! [U_28] :
( icext(U_26,U_28)
| ~ iext(U_25,U_28,U_24) )
& ! [U_27] :
( iext(U_25,U_27,U_24)
| ~ icext(U_26,U_27) ) )
| ~ iext(uri_owl_onProperty,U_26,U_25)
| ~ iext(uri_owl_hasValue,U_26,U_24) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
cnf(f_4_4,plain,
( iext(U_25,U_27,U_24)
| ~ icext(U_26,U_27)
| ~ iext(uri_owl_onProperty,U_26,U_25)
| ~ iext(uri_owl_hasValue,U_26,U_24) ),
inference(clausify,[status(thm)],[f_4_3]) ).
cnf(f_4_5,plain,
( icext(U_26,U_28)
| ~ iext(U_25,U_28,U_24)
| ~ iext(uri_owl_onProperty,U_26,U_25)
| ~ iext(uri_owl_hasValue,U_26,U_24) ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,negated_conjecture,
~ ( iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
& iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(negate,[status(cth)],[testcase_conclusion_fullish_012_Template_Class]) ).
fof(f_5_2,negated_conjecture,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(fof_nnf,[status(thm)],[f_5_1]) ).
fof(f_5_3,negated_conjecture,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(definitional_conversion,[status(esa)],[f_5_2]) ).
cnf(f_5_4,negated_conjecture,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_6_1,plain,
? [BNODE_l1,BNODE_l2,BNODE_l3,BNODE_r] :
( iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_owl_hasValue,BNODE_r,uri_foaf_Person)
& iext(uri_owl_onProperty,BNODE_r,uri_rdfs_domain)
& iext(uri_rdf_type,BNODE_r,uri_owl_Restriction)
& iext(uri_rdf_rest,BNODE_l3,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l3,BNODE_r)
& iext(uri_rdf_rest,BNODE_l2,BNODE_l3)
& iext(uri_rdf_first,BNODE_l2,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l1,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,BNODE_l1)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
inference(fof_nnf,[status(thm)],[testcase_premise_fullish_012_Template_Class]) ).
fof(f_6_2,plain,
? [U_32,U_31,U_30,U_29] :
( iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_owl_hasValue,U_29,uri_foaf_Person)
& iext(uri_owl_onProperty,U_29,uri_rdfs_domain)
& iext(uri_rdf_type,U_29,uri_owl_Restriction)
& iext(uri_rdf_rest,U_30,uri_rdf_nil)
& iext(uri_rdf_first,U_30,U_29)
& iext(uri_rdf_rest,U_31,U_30)
& iext(uri_rdf_first,U_31,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,U_32,U_31)
& iext(uri_rdf_first,U_32,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,U_32)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
( ? [U_32] :
( ? [U_31] :
( ? [U_30] :
( ? [U_29] :
( iext(uri_owl_hasValue,U_29,uri_foaf_Person)
& iext(uri_owl_onProperty,U_29,uri_rdfs_domain)
& iext(uri_rdf_type,U_29,uri_owl_Restriction)
& iext(uri_rdf_first,U_30,U_29) )
& iext(uri_rdf_rest,U_30,uri_rdf_nil)
& iext(uri_rdf_rest,U_31,U_30) )
& iext(uri_rdf_first,U_31,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,U_32,U_31) )
& iext(uri_rdf_first,U_32,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,U_32) )
& iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
inference(miniscope,[status(thm)],[f_6_2]) ).
fof(f_6_4,plain,
( ? [U_31] :
( ? [U_30] :
( ? [U_29] :
( iext(uri_owl_hasValue,U_29,uri_foaf_Person)
& iext(uri_owl_onProperty,U_29,uri_rdfs_domain)
& iext(uri_rdf_type,U_29,uri_owl_Restriction)
& iext(uri_rdf_first,U_30,U_29) )
& iext(uri_rdf_rest,U_30,uri_rdf_nil)
& iext(uri_rdf_rest,U_31,U_30) )
& iext(uri_rdf_first,U_31,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,sK3,U_31) )
& iext(uri_rdf_first,sK3,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK3)
& iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_32,sK3)],[f_6_3]) ).
fof(f_6_5,plain,
( ? [U_30] :
( ? [U_29] :
( iext(uri_owl_hasValue,U_29,uri_foaf_Person)
& iext(uri_owl_onProperty,U_29,uri_rdfs_domain)
& iext(uri_rdf_type,U_29,uri_owl_Restriction)
& iext(uri_rdf_first,U_30,U_29) )
& iext(uri_rdf_rest,U_30,uri_rdf_nil)
& iext(uri_rdf_rest,sK4,U_30) )
& iext(uri_rdf_first,sK4,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,sK3,sK4)
& iext(uri_rdf_first,sK3,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK3)
& iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_31,sK4)],[f_6_4]) ).
fof(f_6_6,plain,
( ? [U_29] :
( iext(uri_owl_hasValue,U_29,uri_foaf_Person)
& iext(uri_owl_onProperty,U_29,uri_rdfs_domain)
& iext(uri_rdf_type,U_29,uri_owl_Restriction)
& iext(uri_rdf_first,sK5,U_29) )
& iext(uri_rdf_rest,sK5,uri_rdf_nil)
& iext(uri_rdf_rest,sK4,sK5)
& iext(uri_rdf_first,sK4,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,sK3,sK4)
& iext(uri_rdf_first,sK3,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK3)
& iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_30,sK5)],[f_6_5]) ).
fof(f_6_7,plain,
( iext(uri_owl_hasValue,sK6,uri_foaf_Person)
& iext(uri_owl_onProperty,sK6,uri_rdfs_domain)
& iext(uri_rdf_type,sK6,uri_owl_Restriction)
& iext(uri_rdf_first,sK5,sK6)
& iext(uri_rdf_rest,sK5,uri_rdf_nil)
& iext(uri_rdf_rest,sK4,sK5)
& iext(uri_rdf_first,sK4,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,sK3,sK4)
& iext(uri_rdf_first,sK3,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK3)
& iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_29,sK6)],[f_6_6]) ).
cnf(f_6_8,plain,
iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class),
inference(clausify,[status(thm)],[f_6_7]) ).
cnf(f_6_9,plain,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
inference(clausify,[status(thm)],[f_6_7]) ).
cnf(f_6_10,plain,
iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
inference(clausify,[status(thm)],[f_6_7]) ).
cnf(f_6_11,plain,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK3),
inference(clausify,[status(thm)],[f_6_7]) ).
cnf(f_6_12,plain,
iext(uri_rdf_first,sK3,uri_owl_DatatypeProperty),
inference(clausify,[status(thm)],[f_6_7]) ).
cnf(f_6_13,plain,
iext(uri_rdf_rest,sK3,sK4),
inference(clausify,[status(thm)],[f_6_7]) ).
cnf(f_6_14,plain,
iext(uri_rdf_first,sK4,uri_owl_FunctionalProperty),
inference(clausify,[status(thm)],[f_6_7]) ).
cnf(f_6_15,plain,
iext(uri_rdf_rest,sK4,sK5),
inference(clausify,[status(thm)],[f_6_7]) ).
cnf(f_6_16,plain,
iext(uri_rdf_rest,sK5,uri_rdf_nil),
inference(clausify,[status(thm)],[f_6_7]) ).
cnf(f_6_17,plain,
iext(uri_rdf_first,sK5,sK6),
inference(clausify,[status(thm)],[f_6_7]) ).
cnf(f_6_18,plain,
iext(uri_rdf_type,sK6,uri_owl_Restriction),
inference(clausify,[status(thm)],[f_6_7]) ).
cnf(f_6_19,plain,
iext(uri_owl_onProperty,sK6,uri_rdfs_domain),
inference(clausify,[status(thm)],[f_6_7]) ).
cnf(f_6_20,plain,
iext(uri_owl_hasValue,sK6,uri_foaf_Person),
inference(clausify,[status(thm)],[f_6_7]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB012+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
% 0.08/0.37 % Computer : n010.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sun Sep 20 01:08:23 UTC 2026
% 0.08/0.38 % CPUTime :
% 120.03/120.38 % SZS status Theorem for theBenchmark
% 120.03/120.38 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------