%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWB012+3 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 02:38:01 PM UTC 2026
% Result : Theorem 10.86s 1.81s
% Output : CNFRefutation 10.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 56 ( 19 unt; 0 def)
% Number of atoms : 336 ( 0 equ)
% Maximal formula atoms : 124 ( 6 avg)
% Number of connectives : 492 ( 212 ~; 215 |; 57 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 21 con; 0-7 aty)
% Number of variables : 132 ( 24 sgn 39 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_bool_intersectionof_class_003,axiom,
! [X1,X4,X5,X6,X7,X8,X9] :
( ( iext(uri_rdf_rest,X8,uri_rdf_nil)
& iext(uri_rdf_first,X8,X9)
& iext(uri_rdf_rest,X6,X8)
& iext(uri_rdf_first,X6,X7)
& iext(uri_rdf_rest,X4,X6)
& iext(uri_rdf_first,X4,X5) )
=> ( iext(uri_owl_intersectionOf,X1,X4)
<=> ( ! [X3] :
( icext(X1,X3)
<=> ( icext(X9,X3)
& icext(X7,X3)
& icext(X5,X3) ) )
& ic(X9)
& ic(X7)
& ic(X5)
& ic(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB002+0.ax',owl_bool_intersectionof_class_003) ).
fof(testcase_premise_fullish_012_Template_Class,axiom,
? [X21,X22,X23,X24] :
( 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,X24,uri_foaf_Person)
& iext(uri_owl_onProperty,X24,uri_rdfs_domain)
& iext(uri_rdf_type,X24,uri_owl_Restriction)
& iext(uri_rdf_rest,X23,uri_rdf_nil)
& iext(uri_rdf_first,X23,X24)
& iext(uri_rdf_rest,X22,X23)
& iext(uri_rdf_first,X22,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,X21,X22)
& iext(uri_rdf_first,X21,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,X21)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_012_Template_Class) ).
fof(rdfs_cext_def,axiom,
! [X3,X2] :
( iext(uri_rdf_type,X3,X2)
<=> icext(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB002+0.ax',rdfs_cext_def) ).
fof(owl_restrict_hasvalue,axiom,
! [X1,X11,X14] :
( ( iext(uri_owl_onProperty,X1,X11)
& iext(uri_owl_hasValue,X1,X14) )
=> ! [X3] :
( icext(X1,X3)
<=> iext(X11,X3,X14) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB002+0.ax',owl_restrict_hasvalue) ).
fof(owl_rdfsext_domain,axiom,
! [X11,X2] :
( iext(uri_rdfs_domain,X11,X2)
<=> ( ! [X3,X10] :
( iext(X11,X3,X10)
=> icext(X2,X3) )
& ic(X2)
& ip(X11) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB002+0.ax',owl_rdfsext_domain) ).
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('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_012_Template_Class) ).
fof(c_0_6,plain,
! [X47,X48,X49,X50,X51,X52,X53,X54,X55] :
( ( ~ iext(uri_rdf_rest,X52,uri_rdf_nil)
| ~ iext(uri_rdf_first,X52,X53)
| ~ iext(uri_rdf_rest,X50,X52)
| ~ iext(uri_rdf_first,X50,X51)
| ~ iext(uri_rdf_rest,X48,X50)
| ~ iext(uri_rdf_first,X48,X49)
| iext(uri_owl_intersectionOf,X47,X48)
| ~ ic(X53)
| ~ ic(X51)
| ~ ic(X49)
| ~ ic(X47)
| icext(X47,esk4_7(X47,X48,X49,X50,X51,X52,X53))
| icext(X53,esk4_7(X47,X48,X49,X50,X51,X52,X53)) )
& ( ~ iext(uri_rdf_rest,X52,uri_rdf_nil)
| ~ iext(uri_rdf_first,X52,X53)
| ~ iext(uri_rdf_rest,X50,X52)
| ~ iext(uri_rdf_first,X50,X51)
| ~ iext(uri_rdf_rest,X48,X50)
| ~ iext(uri_rdf_first,X48,X49)
| iext(uri_owl_intersectionOf,X47,X48)
| ~ ic(X53)
| ~ ic(X51)
| ~ ic(X49)
| ~ ic(X47)
| icext(X47,esk4_7(X47,X48,X49,X50,X51,X52,X53))
| icext(X51,esk4_7(X47,X48,X49,X50,X51,X52,X53)) )
& ( ~ iext(uri_rdf_rest,X52,uri_rdf_nil)
| ~ iext(uri_rdf_first,X52,X53)
| ~ iext(uri_rdf_rest,X50,X52)
| ~ iext(uri_rdf_first,X50,X51)
| ~ iext(uri_rdf_rest,X48,X50)
| ~ iext(uri_rdf_first,X48,X49)
| iext(uri_owl_intersectionOf,X47,X48)
| ~ ic(X53)
| ~ ic(X51)
| ~ ic(X49)
| ~ ic(X47)
| icext(X47,esk4_7(X47,X48,X49,X50,X51,X52,X53))
| icext(X49,esk4_7(X47,X48,X49,X50,X51,X52,X53)) )
& ( ~ iext(uri_rdf_rest,X52,uri_rdf_nil)
| ~ iext(uri_rdf_first,X52,X53)
| ~ iext(uri_rdf_rest,X50,X52)
| ~ iext(uri_rdf_first,X50,X51)
| ~ iext(uri_rdf_rest,X48,X50)
| ~ iext(uri_rdf_first,X48,X49)
| iext(uri_owl_intersectionOf,X47,X48)
| ~ ic(X53)
| ~ ic(X51)
| ~ ic(X49)
| ~ ic(X47)
| ~ icext(X53,esk4_7(X47,X48,X49,X50,X51,X52,X53))
| ~ icext(X51,esk4_7(X47,X48,X49,X50,X51,X52,X53))
| ~ icext(X49,esk4_7(X47,X48,X49,X50,X51,X52,X53))
| ~ icext(X47,esk4_7(X47,X48,X49,X50,X51,X52,X53)) )
& ( ~ iext(uri_rdf_rest,X52,uri_rdf_nil)
| ~ iext(uri_rdf_first,X52,X53)
| ~ iext(uri_rdf_rest,X50,X52)
| ~ iext(uri_rdf_first,X50,X51)
| ~ iext(uri_rdf_rest,X48,X50)
| ~ iext(uri_rdf_first,X48,X49)
| ~ iext(uri_owl_intersectionOf,X47,X48)
| icext(X47,X55)
| ~ icext(X53,X55)
| ~ icext(X51,X55)
| ~ icext(X49,X55) )
& ( ~ iext(uri_rdf_rest,X52,uri_rdf_nil)
| ~ iext(uri_rdf_first,X52,X53)
| ~ iext(uri_rdf_rest,X50,X52)
| ~ iext(uri_rdf_first,X50,X51)
| ~ iext(uri_rdf_rest,X48,X50)
| ~ iext(uri_rdf_first,X48,X49)
| ~ iext(uri_owl_intersectionOf,X47,X48)
| ~ icext(X47,X54)
| icext(X53,X54) )
& ( ~ iext(uri_rdf_rest,X52,uri_rdf_nil)
| ~ iext(uri_rdf_first,X52,X53)
| ~ iext(uri_rdf_rest,X50,X52)
| ~ iext(uri_rdf_first,X50,X51)
| ~ iext(uri_rdf_rest,X48,X50)
| ~ iext(uri_rdf_first,X48,X49)
| ~ iext(uri_owl_intersectionOf,X47,X48)
| ~ icext(X47,X54)
| icext(X51,X54) )
& ( ~ iext(uri_rdf_rest,X52,uri_rdf_nil)
| ~ iext(uri_rdf_first,X52,X53)
| ~ iext(uri_rdf_rest,X50,X52)
| ~ iext(uri_rdf_first,X50,X51)
| ~ iext(uri_rdf_rest,X48,X50)
| ~ iext(uri_rdf_first,X48,X49)
| ~ iext(uri_owl_intersectionOf,X47,X48)
| ~ icext(X47,X54)
| icext(X49,X54) )
& ( ~ iext(uri_rdf_rest,X52,uri_rdf_nil)
| ~ iext(uri_rdf_first,X52,X53)
| ~ iext(uri_rdf_rest,X50,X52)
| ~ iext(uri_rdf_first,X50,X51)
| ~ iext(uri_rdf_rest,X48,X50)
| ~ iext(uri_rdf_first,X48,X49)
| ~ iext(uri_owl_intersectionOf,X47,X48)
| ic(X53) )
& ( ~ iext(uri_rdf_rest,X52,uri_rdf_nil)
| ~ iext(uri_rdf_first,X52,X53)
| ~ iext(uri_rdf_rest,X50,X52)
| ~ iext(uri_rdf_first,X50,X51)
| ~ iext(uri_rdf_rest,X48,X50)
| ~ iext(uri_rdf_first,X48,X49)
| ~ iext(uri_owl_intersectionOf,X47,X48)
| ic(X51) )
& ( ~ iext(uri_rdf_rest,X52,uri_rdf_nil)
| ~ iext(uri_rdf_first,X52,X53)
| ~ iext(uri_rdf_rest,X50,X52)
| ~ iext(uri_rdf_first,X50,X51)
| ~ iext(uri_rdf_rest,X48,X50)
| ~ iext(uri_rdf_first,X48,X49)
| ~ iext(uri_owl_intersectionOf,X47,X48)
| ic(X49) )
& ( ~ iext(uri_rdf_rest,X52,uri_rdf_nil)
| ~ iext(uri_rdf_first,X52,X53)
| ~ iext(uri_rdf_rest,X50,X52)
| ~ iext(uri_rdf_first,X50,X51)
| ~ iext(uri_rdf_rest,X48,X50)
| ~ iext(uri_rdf_first,X48,X49)
| ~ iext(uri_owl_intersectionOf,X47,X48)
| ic(X47) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_bool_intersectionof_class_003])])])])])])]) ).
fof(c_0_7,plain,
( 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,esk22_0,uri_foaf_Person)
& iext(uri_owl_onProperty,esk22_0,uri_rdfs_domain)
& iext(uri_rdf_type,esk22_0,uri_owl_Restriction)
& iext(uri_rdf_rest,esk21_0,uri_rdf_nil)
& iext(uri_rdf_first,esk21_0,esk22_0)
& iext(uri_rdf_rest,esk20_0,esk21_0)
& iext(uri_rdf_first,esk20_0,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,esk19_0,esk20_0)
& iext(uri_rdf_first,esk19_0,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,esk19_0)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_012_Template_Class])]) ).
cnf(c_0_8,plain,
( ~ iext(uri_rdf_rest,X8,uri_rdf_nil)
| ~ iext(uri_rdf_first,X8,X1)
| ~ iext(uri_rdf_rest,X6,X8)
| ~ iext(uri_rdf_first,X6,X7)
| ~ iext(uri_rdf_rest,X4,X6)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ icext(X3,X2)
| icext(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
iext(uri_rdf_rest,esk21_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
( ~ iext(uri_rdf_rest,X5,X4)
| ~ iext(uri_rdf_first,X5,X7)
| ~ iext(uri_rdf_first,X4,X6)
| ~ iext(uri_owl_intersectionOf,X3,X5)
| ~ iext(uri_rdf_rest,X4,esk21_0)
| ~ iext(uri_rdf_first,esk21_0,X1)
| ~ icext(X3,X2)
| icext(X1,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,plain,
iext(uri_rdf_first,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( ~ iext(uri_rdf_rest,X4,X3)
| ~ iext(uri_rdf_first,X4,X6)
| ~ iext(uri_rdf_first,X3,X5)
| ~ iext(uri_owl_intersectionOf,X2,X4)
| ~ iext(uri_rdf_rest,X3,esk21_0)
| ~ icext(X2,X1)
| icext(esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,plain,
iext(uri_rdf_rest,esk20_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,plain,
( ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_owl_intersectionOf,X2,X4)
| ~ iext(uri_rdf_rest,X4,esk20_0)
| ~ iext(uri_rdf_first,esk20_0,X3)
| ~ icext(X2,X1)
| icext(esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,plain,
iext(uri_rdf_first,esk20_0,uri_owl_FunctionalProperty),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
( ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_intersectionOf,X2,X3)
| ~ iext(uri_rdf_rest,X3,esk20_0)
| ~ icext(X2,X1)
| icext(esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,plain,
iext(uri_rdf_rest,esk19_0,esk20_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_18,plain,
! [X184,X185] :
( ( iext(uri_rdf_type,X184,X185)
| ~ icext(X185,X184) )
& ( icext(X185,X184)
| ~ iext(uri_rdf_type,X184,X185) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])])]) ).
cnf(c_0_19,plain,
( ~ iext(uri_rdf_first,esk19_0,X3)
| ~ iext(uri_owl_intersectionOf,X2,esk19_0)
| ~ icext(X2,X1)
| icext(esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,esk19_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,plain,
( ~ iext(uri_rdf_type,X1,X2)
| icext(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_23,plain,
( ~ iext(uri_rdf_rest,X7,uri_rdf_nil)
| ~ iext(uri_rdf_first,X7,X8)
| ~ iext(uri_rdf_rest,X6,X7)
| ~ iext(uri_rdf_first,X6,X1)
| ~ iext(uri_rdf_rest,X4,X6)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ icext(X3,X2)
| icext(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_24,plain,
! [X172,X173,X174,X175] :
( ( ~ iext(uri_owl_onProperty,X172,X173)
| ~ iext(uri_owl_hasValue,X172,X174)
| icext(X172,X175)
| ~ iext(X173,X175,X174) )
& ( ~ iext(uri_owl_onProperty,X172,X173)
| ~ iext(uri_owl_hasValue,X172,X174)
| iext(X173,X175,X174)
| ~ icext(X172,X175) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_restrict_hasvalue])])])])]) ).
cnf(c_0_25,plain,
( ~ iext(uri_rdf_first,esk19_0,X2)
| ~ icext(uri_ex_PersonAttribute,X1)
| icext(esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,plain,
icext(uri_ex_PersonAttribute,uri_ex_name),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
( ~ iext(uri_rdf_rest,X6,X5)
| ~ iext(uri_rdf_first,X6,X7)
| ~ iext(uri_rdf_first,X5,X1)
| ~ iext(uri_owl_intersectionOf,X3,X6)
| ~ iext(uri_rdf_rest,X5,esk21_0)
| ~ iext(uri_rdf_first,esk21_0,X4)
| ~ icext(X3,X2)
| icext(X1,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_9]) ).
cnf(c_0_28,plain,
( ~ iext(uri_owl_onProperty,X1,X3)
| ~ iext(uri_owl_hasValue,X1,X4)
| ~ icext(X1,X2)
| iext(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,plain,
iext(uri_owl_hasValue,esk22_0,uri_foaf_Person),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_30,plain,
( ~ iext(uri_rdf_first,esk19_0,X1)
| icext(esk22_0,uri_ex_name) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
iext(uri_rdf_first,esk19_0,uri_owl_DatatypeProperty),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_32,plain,
( ~ iext(uri_rdf_rest,X5,X4)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_first,X4,X1)
| ~ iext(uri_owl_intersectionOf,X3,X5)
| ~ iext(uri_rdf_rest,X4,esk21_0)
| ~ icext(X3,X2)
| icext(X1,X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_11]) ).
cnf(c_0_33,plain,
( ~ iext(uri_owl_onProperty,esk22_0,X1)
| ~ icext(esk22_0,X2)
| iext(X1,X2,uri_foaf_Person) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,plain,
icext(esk22_0,uri_ex_name),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,plain,
( ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ iext(uri_rdf_rest,X4,esk20_0)
| ~ iext(uri_rdf_first,esk20_0,X1)
| ~ icext(X3,X2)
| icext(X1,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_13]) ).
fof(c_0_36,plain,
! [X135,X136,X137,X138,X139,X140] :
( ( iext(uri_rdfs_domain,X139,X140)
| ~ ic(X140)
| ~ ip(X139)
| ~ icext(X140,esk10_2(X139,X140)) )
& ( iext(uri_rdfs_domain,X139,X140)
| ~ ic(X140)
| ~ ip(X139)
| iext(X139,esk10_2(X139,X140),esk11_2(X139,X140)) )
& ( ~ iext(uri_rdfs_domain,X135,X136)
| icext(X136,X137)
| ~ iext(X135,X137,X138) )
& ( ~ iext(uri_rdfs_domain,X135,X136)
| ic(X136) )
& ( ~ iext(uri_rdfs_domain,X135,X136)
| ip(X135) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_rdfsext_domain])])])])])])]) ).
cnf(c_0_37,plain,
( ~ iext(uri_owl_onProperty,esk22_0,X1)
| iext(X1,uri_ex_name,uri_foaf_Person) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
iext(uri_owl_onProperty,esk22_0,uri_rdfs_domain),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_39,plain,
( ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_intersectionOf,X2,X3)
| ~ iext(uri_rdf_rest,X3,esk20_0)
| ~ icext(X2,X1)
| icext(uri_owl_FunctionalProperty,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_15]) ).
cnf(c_0_40,plain,
( ~ iext(uri_rdfs_domain,X1,X4)
| ~ iext(X1,X2,X3)
| icext(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,plain,
iext(uri_rdfs_domain,uri_ex_name,uri_foaf_Person),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,plain,
( ~ iext(uri_rdf_first,esk19_0,X3)
| ~ iext(uri_owl_intersectionOf,X2,esk19_0)
| ~ icext(X2,X1)
| icext(uri_owl_FunctionalProperty,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_17]) ).
fof(c_0_43,negated_conjecture,
~ ( iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
& iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_012_Template_Class]) ).
cnf(c_0_44,plain,
( ~ iext(uri_ex_name,X1,X2)
| icext(uri_foaf_Person,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_46,plain,
( ~ iext(uri_rdf_first,esk19_0,X2)
| ~ icext(uri_ex_PersonAttribute,X1)
| icext(uri_owl_FunctionalProperty,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_20]) ).
fof(c_0_47,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)],[inference(fof_nnf,[status(thm)],[c_0_43])]) ).
cnf(c_0_48,plain,
( ~ icext(X1,X2)
| iext(uri_rdf_type,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_49,plain,
icext(uri_foaf_Person,uri_ex_alice),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,plain,
( ~ iext(uri_rdf_first,esk19_0,X1)
| icext(uri_owl_FunctionalProperty,uri_ex_name) ),
inference(spm,[status(thm)],[c_0_46,c_0_26]) ).
cnf(c_0_51,negated_conjecture,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_52,plain,
iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_53,plain,
icext(uri_owl_FunctionalProperty,uri_ex_name),
inference(spm,[status(thm)],[c_0_50,c_0_31]) ).
cnf(c_0_54,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]) ).
cnf(c_0_55,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_53]),c_0_54]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB012+3 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n002.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Mon Sep 21 07:41:16 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.86/1.81 % Version: 3.5.1
% 10.86/1.81 % Preprocessing class: FSLSSMSMSSSNFFN.
% 10.86/1.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.86/1.81 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 10.86/1.81 % Starting new_bool_3 with 300s (1) cores
% 10.86/1.81 % Starting new_bool_1 with 300s (1) cores
% 10.86/1.81 % Starting sh5l with 300s (1) cores
% 10.86/1.81 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2785168 completed with status 0
% 10.86/1.81 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 10.86/1.81 % Preprocessing class: FSLSSMSMSSSNFFN.
% 10.86/1.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.86/1.81 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 10.86/1.81 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.86/1.81 % No SInE strategy applied
% 10.86/1.81 % Search class: FGHNS-FSLM33-SFFFFFNN
% 10.86/1.81 % partial match(1): FGHNF-FSLM33-SFFFFFNN
% 10.86/1.81 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 10.86/1.81 % Starting SubtermCWHack with 136s (1) cores
% 10.86/1.81 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 10.86/1.81 % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 10.86/1.81 % Starting new_bool_3 with 136s (1) cores
% 10.86/1.81 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 136s (1) cores
% 10.86/1.81 % G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S with pid 2785191 completed with status 0
% 10.86/1.81 % Result found by G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S
% 10.86/1.81 % Preprocessing class: FSLSSMSMSSSNFFN.
% 10.86/1.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.86/1.81 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 10.86/1.81 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.86/1.81 % No SInE strategy applied
% 10.86/1.81 % Search class: FGHNS-FSLM33-SFFFFFNN
% 10.86/1.81 % partial match(1): FGHNF-FSLM33-SFFFFFNN
% 10.86/1.81 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 10.86/1.81 % Starting SubtermCWHack with 136s (1) cores
% 10.86/1.81 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 10.86/1.81 % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 10.86/1.81 % Preprocessing time : 0.005 s
% 10.86/1.81 % Presaturation interreduction done
% 10.86/1.81
% 10.86/1.81 % Proof found!
% 10.86/1.81 % SZS status Theorem
% 10.86/1.81 % SZS output start CNFRefutation
% See solution above
% 10.86/1.81 % Parsed axioms : 140
% 10.86/1.81 % Removed by relevancy pruning/SinE : 0
% 10.86/1.81 % Initial clauses : 260
% 10.86/1.81 % Removed in clause preprocessing : 19
% 10.86/1.81 % Initial clauses in saturation : 241
% 10.86/1.81 % Processed clauses : 7017
% 10.86/1.81 % ...of these trivial : 192
% 10.86/1.81 % ...subsumed : 3244
% 10.86/1.81 % ...remaining for further processing : 3581
% 10.86/1.81 % Other redundant clauses eliminated : 0
% 10.86/1.81 % Clauses deleted for lack of memory : 0
% 10.86/1.81 % Backward-subsumed : 189
% 10.86/1.81 % Backward-rewritten : 512
% 10.86/1.81 % Generated clauses : 9450
% 10.86/1.81 % ...of the previous two non-redundant : 7644
% 10.86/1.81 % ...aggressively subsumed : 0
% 10.86/1.81 % Contextual simplify-reflections : 133
% 10.86/1.81 % Paramodulations : 9446
% 10.86/1.81 % Factorizations : 4
% 10.86/1.81 % NegExts : 0
% 10.86/1.81 % Equation resolutions : 0
% 10.86/1.81 % Disequality decompositions : 0
% 10.86/1.81 % Total rewrite steps : 3256
% 10.86/1.81 % ...of those cached : 3044
% 10.86/1.81 % Propositional unsat checks : 0
% 10.86/1.81 % Propositional check models : 0
% 10.86/1.81 % Propositional check unsatisfiable : 0
% 10.86/1.81 % Propositional clauses : 0
% 10.86/1.81 % Propositional clauses after purity: 0
% 10.86/1.81 % Propositional unsat core size : 0
% 10.86/1.81 % Propositional preprocessing time : 0.000
% 10.86/1.81 % Propositional encoding time : 0.000
% 10.86/1.81 % Propositional solver time : 0.000
% 10.86/1.81 % Success case prop preproc time : 0.000
% 10.86/1.81 % Success case prop encoding time : 0.000
% 10.86/1.81 % Success case prop solver time : 0.000
% 10.86/1.81 % Current number of processed clauses : 2661
% 10.86/1.81 % Positive orientable unit clauses : 313
% 10.86/1.81 % Positive unorientable unit clauses: 0
% 10.86/1.81 % Negative unit clauses : 2
% 10.86/1.81 % Non-unit-clauses : 2346
% 10.86/1.81 % Current number of unprocessed clauses: 848
% 10.86/1.81 % ...number of literals in the above : 5260
% 10.86/1.81 % Current number of archived formulas : 0
% 10.86/1.81 % Current number of archived clauses : 921
% 10.86/1.81 % Clause-clause subsumption calls (NU) : 2201936
% 10.86/1.81 % Rec. Clause-clause subsumption calls : 457219
% 10.86/1.81 % Non-unit clause-clause subsumptions : 3535
% 10.86/1.81 % Unit Clause-clause subsumption calls : 23144
% 10.86/1.81 % Rewrite failures with RHS unbound : 0
% 10.86/1.81 % BW rewrite match attempts : 232
% 10.86/1.81 % BW rewrite match successes : 18
% 10.86/1.81 % Condensation attempts : 0
% 10.86/1.81 % Condensation successes : 0
% 10.86/1.81 % Termbank termtop insertions : 172544
% 10.86/1.81 % Search garbage collected termcells : 3163
% 10.86/1.81
% 10.86/1.81 % -------------------------------------------------
% 10.86/1.81 % User time : 1.333 s
% 10.86/1.81 % System time : 0.022 s
% 10.86/1.81 % Total time : 1.355 s
% 10.86/1.81 % Maximum resident set size: 3772 pages
% 10.86/1.81
% 10.86/1.81 % -------------------------------------------------
% 10.86/1.81 % User time : 6.532 s
% 10.86/1.81 % System time : 0.163 s
% 10.86/1.81 % Total time : 6.695 s
% 10.86/1.81 % Maximum resident set size: 4608 pages
% 10.86/1.81 % E exiting
%------------------------------------------------------------------------------