%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWB012+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 0.25s 0.65s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 52 ( 16 unt; 0 def)
% Number of atoms : 313 ( 0 equ)
% Maximal formula atoms : 124 ( 6 avg)
% Number of connectives : 461 ( 200 ~; 202 |; 52 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-7 aty)
% Number of variables : 125 ( 15 sgn 37 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_bool_intersectionof_class_003,axiom,
! [X5,X6,X7,X8,X9,X10,X11] :
( ( iext(uri_rdf_rest,X10,uri_rdf_nil)
& iext(uri_rdf_first,X10,X11)
& iext(uri_rdf_rest,X8,X10)
& iext(uri_rdf_first,X8,X9)
& iext(uri_rdf_rest,X6,X8)
& iext(uri_rdf_first,X6,X7) )
=> ( iext(uri_owl_intersectionOf,X5,X6)
<=> ( ! [X1] :
( icext(X5,X1)
<=> ( icext(X11,X1)
& icext(X9,X1)
& icext(X7,X1) ) )
& ic(X11)
& ic(X9)
& ic(X7)
& ic(X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_intersectionof_class_003) ).
fof(testcase_premise_fullish_012_Template_Class,axiom,
? [X13,X14,X15,X16] :
( 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,X16,uri_foaf_Person)
& iext(uri_owl_onProperty,X16,uri_rdfs_domain)
& iext(uri_rdf_type,X16,uri_owl_Restriction)
& iext(uri_rdf_rest,X15,uri_rdf_nil)
& iext(uri_rdf_first,X15,X16)
& iext(uri_rdf_rest,X14,X15)
& iext(uri_rdf_first,X14,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,X13,X14)
& iext(uri_rdf_first,X13,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,X13)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_012_Template_Class) ).
fof(owl_restrict_hasvalue,axiom,
! [X5,X3,X12] :
( ( iext(uri_owl_onProperty,X5,X3)
& iext(uri_owl_hasValue,X5,X12) )
=> ! [X1] :
( icext(X5,X1)
<=> iext(X3,X1,X12) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_hasvalue) ).
fof(rdfs_cext_def,axiom,
! [X1,X2] :
( iext(uri_rdf_type,X1,X2)
<=> icext(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(rdfs_domain_main,axiom,
! [X3,X2,X1,X4] :
( ( iext(X3,X1,X4)
& iext(uri_rdfs_domain,X3,X2) )
=> icext(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).
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/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_012_Template_Class) ).
fof(c_0_6,plain,
! [X23,X24,X25,X26,X27,X28,X29,X30,X31] :
( ( ~ iext(uri_rdf_rest,X28,uri_rdf_nil)
| ~ iext(uri_rdf_first,X28,X29)
| ~ iext(uri_rdf_rest,X26,X28)
| ~ iext(uri_rdf_first,X26,X27)
| ~ iext(uri_rdf_rest,X24,X26)
| ~ iext(uri_rdf_first,X24,X25)
| iext(uri_owl_intersectionOf,X23,X24)
| ~ ic(X29)
| ~ ic(X27)
| ~ ic(X25)
| ~ ic(X23)
| icext(X23,esk1_7(X23,X24,X25,X26,X27,X28,X29))
| icext(X29,esk1_7(X23,X24,X25,X26,X27,X28,X29)) )
& ( ~ iext(uri_rdf_rest,X28,uri_rdf_nil)
| ~ iext(uri_rdf_first,X28,X29)
| ~ iext(uri_rdf_rest,X26,X28)
| ~ iext(uri_rdf_first,X26,X27)
| ~ iext(uri_rdf_rest,X24,X26)
| ~ iext(uri_rdf_first,X24,X25)
| iext(uri_owl_intersectionOf,X23,X24)
| ~ ic(X29)
| ~ ic(X27)
| ~ ic(X25)
| ~ ic(X23)
| icext(X23,esk1_7(X23,X24,X25,X26,X27,X28,X29))
| icext(X27,esk1_7(X23,X24,X25,X26,X27,X28,X29)) )
& ( ~ iext(uri_rdf_rest,X28,uri_rdf_nil)
| ~ iext(uri_rdf_first,X28,X29)
| ~ iext(uri_rdf_rest,X26,X28)
| ~ iext(uri_rdf_first,X26,X27)
| ~ iext(uri_rdf_rest,X24,X26)
| ~ iext(uri_rdf_first,X24,X25)
| iext(uri_owl_intersectionOf,X23,X24)
| ~ ic(X29)
| ~ ic(X27)
| ~ ic(X25)
| ~ ic(X23)
| icext(X23,esk1_7(X23,X24,X25,X26,X27,X28,X29))
| icext(X25,esk1_7(X23,X24,X25,X26,X27,X28,X29)) )
& ( ~ iext(uri_rdf_rest,X28,uri_rdf_nil)
| ~ iext(uri_rdf_first,X28,X29)
| ~ iext(uri_rdf_rest,X26,X28)
| ~ iext(uri_rdf_first,X26,X27)
| ~ iext(uri_rdf_rest,X24,X26)
| ~ iext(uri_rdf_first,X24,X25)
| iext(uri_owl_intersectionOf,X23,X24)
| ~ ic(X29)
| ~ ic(X27)
| ~ ic(X25)
| ~ ic(X23)
| ~ icext(X29,esk1_7(X23,X24,X25,X26,X27,X28,X29))
| ~ icext(X27,esk1_7(X23,X24,X25,X26,X27,X28,X29))
| ~ icext(X25,esk1_7(X23,X24,X25,X26,X27,X28,X29))
| ~ icext(X23,esk1_7(X23,X24,X25,X26,X27,X28,X29)) )
& ( ~ iext(uri_rdf_rest,X28,uri_rdf_nil)
| ~ iext(uri_rdf_first,X28,X29)
| ~ iext(uri_rdf_rest,X26,X28)
| ~ iext(uri_rdf_first,X26,X27)
| ~ iext(uri_rdf_rest,X24,X26)
| ~ iext(uri_rdf_first,X24,X25)
| ~ iext(uri_owl_intersectionOf,X23,X24)
| icext(X23,X31)
| ~ icext(X29,X31)
| ~ icext(X27,X31)
| ~ icext(X25,X31) )
& ( ~ iext(uri_rdf_rest,X28,uri_rdf_nil)
| ~ iext(uri_rdf_first,X28,X29)
| ~ iext(uri_rdf_rest,X26,X28)
| ~ iext(uri_rdf_first,X26,X27)
| ~ iext(uri_rdf_rest,X24,X26)
| ~ iext(uri_rdf_first,X24,X25)
| ~ iext(uri_owl_intersectionOf,X23,X24)
| ~ icext(X23,X30)
| icext(X29,X30) )
& ( ~ iext(uri_rdf_rest,X28,uri_rdf_nil)
| ~ iext(uri_rdf_first,X28,X29)
| ~ iext(uri_rdf_rest,X26,X28)
| ~ iext(uri_rdf_first,X26,X27)
| ~ iext(uri_rdf_rest,X24,X26)
| ~ iext(uri_rdf_first,X24,X25)
| ~ iext(uri_owl_intersectionOf,X23,X24)
| ~ icext(X23,X30)
| icext(X27,X30) )
& ( ~ iext(uri_rdf_rest,X28,uri_rdf_nil)
| ~ iext(uri_rdf_first,X28,X29)
| ~ iext(uri_rdf_rest,X26,X28)
| ~ iext(uri_rdf_first,X26,X27)
| ~ iext(uri_rdf_rest,X24,X26)
| ~ iext(uri_rdf_first,X24,X25)
| ~ iext(uri_owl_intersectionOf,X23,X24)
| ~ icext(X23,X30)
| icext(X25,X30) )
& ( ~ iext(uri_rdf_rest,X28,uri_rdf_nil)
| ~ iext(uri_rdf_first,X28,X29)
| ~ iext(uri_rdf_rest,X26,X28)
| ~ iext(uri_rdf_first,X26,X27)
| ~ iext(uri_rdf_rest,X24,X26)
| ~ iext(uri_rdf_first,X24,X25)
| ~ iext(uri_owl_intersectionOf,X23,X24)
| ic(X29) )
& ( ~ iext(uri_rdf_rest,X28,uri_rdf_nil)
| ~ iext(uri_rdf_first,X28,X29)
| ~ iext(uri_rdf_rest,X26,X28)
| ~ iext(uri_rdf_first,X26,X27)
| ~ iext(uri_rdf_rest,X24,X26)
| ~ iext(uri_rdf_first,X24,X25)
| ~ iext(uri_owl_intersectionOf,X23,X24)
| ic(X27) )
& ( ~ iext(uri_rdf_rest,X28,uri_rdf_nil)
| ~ iext(uri_rdf_first,X28,X29)
| ~ iext(uri_rdf_rest,X26,X28)
| ~ iext(uri_rdf_first,X26,X27)
| ~ iext(uri_rdf_rest,X24,X26)
| ~ iext(uri_rdf_first,X24,X25)
| ~ iext(uri_owl_intersectionOf,X23,X24)
| ic(X25) )
& ( ~ iext(uri_rdf_rest,X28,uri_rdf_nil)
| ~ iext(uri_rdf_first,X28,X29)
| ~ iext(uri_rdf_rest,X26,X28)
| ~ iext(uri_rdf_first,X26,X27)
| ~ iext(uri_rdf_rest,X24,X26)
| ~ iext(uri_rdf_first,X24,X25)
| ~ iext(uri_owl_intersectionOf,X23,X24)
| ic(X23) ) ),
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,esk5_0,uri_foaf_Person)
& iext(uri_owl_onProperty,esk5_0,uri_rdfs_domain)
& iext(uri_rdf_type,esk5_0,uri_owl_Restriction)
& iext(uri_rdf_rest,esk4_0,uri_rdf_nil)
& iext(uri_rdf_first,esk4_0,esk5_0)
& iext(uri_rdf_rest,esk3_0,esk4_0)
& iext(uri_rdf_first,esk3_0,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,esk2_0,esk3_0)
& iext(uri_rdf_first,esk2_0,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,esk2_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,esk4_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
( ~ iext(uri_owl_intersectionOf,X3,X6)
| ~ iext(uri_rdf_rest,X6,X4)
| ~ iext(uri_rdf_first,X6,X7)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,esk4_0)
| ~ iext(uri_rdf_first,esk4_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_rest,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( ~ iext(uri_owl_intersectionOf,X3,X5)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X5,esk3_0)
| ~ iext(uri_rdf_first,esk3_0,X4)
| ~ iext(uri_rdf_first,esk4_0,X1)
| ~ icext(X3,X2)
| icext(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,plain,
iext(uri_rdf_first,esk3_0,uri_owl_FunctionalProperty),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_14,plain,
! [X33,X34,X35,X36] :
( ( ~ iext(uri_owl_onProperty,X33,X34)
| ~ iext(uri_owl_hasValue,X33,X35)
| icext(X33,X36)
| ~ iext(X34,X36,X35) )
& ( ~ iext(uri_owl_onProperty,X33,X34)
| ~ iext(uri_owl_hasValue,X33,X35)
| iext(X34,X36,X35)
| ~ icext(X33,X36) ) ),
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_15,plain,
( ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,esk3_0)
| ~ iext(uri_rdf_first,esk4_0,X1)
| ~ icext(X3,X2)
| icext(X1,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
iext(uri_rdf_first,esk2_0,uri_owl_DatatypeProperty),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,plain,
iext(uri_rdf_rest,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_18,plain,
! [X17,X18] :
( ( iext(uri_rdf_type,X17,X18)
| ~ icext(X18,X17) )
& ( icext(X18,X17)
| ~ iext(uri_rdf_type,X17,X18) ) ),
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_owl_onProperty,X1,X3)
| ~ iext(uri_owl_hasValue,X1,X4)
| ~ icext(X1,X2)
| iext(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
iext(uri_owl_hasValue,esk5_0,uri_foaf_Person),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,plain,
( ~ iext(uri_owl_intersectionOf,X3,esk2_0)
| ~ iext(uri_rdf_first,esk4_0,X1)
| ~ icext(X3,X2)
| icext(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_22,plain,
( ~ iext(uri_rdf_type,X1,X2)
| icext(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
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]) ).
cnf(c_0_24,plain,
( ~ iext(uri_owl_onProperty,esk5_0,X1)
| ~ icext(esk5_0,X2)
| iext(X1,X2,uri_foaf_Person) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
iext(uri_owl_onProperty,esk5_0,uri_rdfs_domain),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_26,plain,
( ~ iext(uri_rdf_type,X2,X3)
| ~ iext(uri_owl_intersectionOf,X3,esk2_0)
| ~ iext(uri_rdf_first,esk4_0,X1)
| icext(X1,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_28,plain,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_29,plain,
( ~ iext(uri_owl_intersectionOf,X3,X6)
| ~ iext(uri_rdf_rest,X6,X5)
| ~ iext(uri_rdf_first,X6,X7)
| ~ iext(uri_rdf_first,X5,X1)
| ~ iext(uri_rdf_rest,X5,esk4_0)
| ~ iext(uri_rdf_first,esk4_0,X4)
| ~ icext(X3,X2)
| icext(X1,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_9]) ).
cnf(c_0_30,plain,
iext(uri_rdf_first,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_31,plain,
! [X19,X20,X21,X22] :
( icext(X20,X21)
| ~ iext(X19,X21,X22)
| ~ iext(uri_rdfs_domain,X19,X20) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_domain_main])])]) ).
cnf(c_0_32,plain,
( ~ icext(esk5_0,X1)
| iext(uri_rdfs_domain,X1,uri_foaf_Person) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_33,plain,
( ~ iext(uri_rdf_first,esk4_0,X1)
| icext(X1,uri_ex_name) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
cnf(c_0_34,plain,
( ~ iext(uri_owl_intersectionOf,X3,X5)
| ~ iext(uri_rdf_rest,X5,X4)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_first,X4,X1)
| ~ iext(uri_rdf_rest,X4,esk4_0)
| ~ icext(X3,X2)
| icext(X1,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,plain,
( ~ iext(X1,X3,X4)
| ~ iext(uri_rdfs_domain,X1,X2)
| icext(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_36,plain,
iext(uri_rdfs_domain,uri_ex_name,uri_foaf_Person),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_30])]) ).
cnf(c_0_37,plain,
( ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,esk3_0)
| ~ iext(uri_rdf_first,esk3_0,X1)
| ~ icext(X3,X2)
| icext(X1,X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_11]) ).
fof(c_0_38,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_39,plain,
( ~ iext(uri_ex_name,X1,X2)
| icext(uri_foaf_Person,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,plain,
iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_41,plain,
( ~ iext(uri_owl_intersectionOf,X3,esk2_0)
| ~ iext(uri_rdf_first,esk3_0,X1)
| ~ icext(X3,X2)
| icext(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_16]),c_0_17])]) ).
fof(c_0_42,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_38])]) ).
cnf(c_0_43,plain,
( ~ icext(X1,X2)
| iext(uri_rdf_type,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_44,plain,
icext(uri_foaf_Person,uri_ex_alice),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,plain,
( ~ iext(uri_rdf_type,X2,X3)
| ~ iext(uri_owl_intersectionOf,X3,esk2_0)
| ~ iext(uri_rdf_first,esk3_0,X1)
| icext(X1,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_22]) ).
cnf(c_0_46,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_42]) ).
cnf(c_0_47,plain,
iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,plain,
( ~ iext(uri_rdf_first,esk3_0,X1)
| icext(X1,uri_ex_name) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_27]),c_0_28])]) ).
cnf(c_0_49,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47])]) ).
cnf(c_0_50,plain,
( ~ iext(uri_rdf_first,esk3_0,X1)
| iext(uri_rdf_type,uri_ex_name,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_48]) ).
cnf(c_0_51,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWB012+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n001.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.47 % WCLimit : 300
% 0.20/0.47 % DateTime : Mon Sep 21 07:44:13 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.55 Running first-order theorem proving
% 0.25/0.55 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.25/0.65 % Version: 3.5.1
% 0.25/0.65 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.25/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.65 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.25/0.65 % Starting new_bool_3 with 300s (1) cores
% 0.25/0.65 % Starting new_bool_1 with 300s (1) cores
% 0.25/0.65 % Starting sh5l with 300s (1) cores
% 0.25/0.65 % new_bool_3 with pid 2589744 completed with status 9
% 0.25/0.65 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2589743 completed with status 0
% 0.25/0.65 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.25/0.65 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.25/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.65 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.25/0.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.65 % No SInE strategy applied
% 0.25/0.65 % Search class: FGHNF-FFMM33-SFFFFFNN
% 0.25/0.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.65 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.65 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.25/0.65 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 0.25/0.65 % Starting new_bool_3 with 136s (1) cores
% 0.25/0.65 % Starting new_bool_1 with 136s (1) cores
% 0.25/0.65 % SubtermCWHack with pid 2589748 completed with status 0
% 0.25/0.65 % Result found by SubtermCWHack
% 0.25/0.65 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.25/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.65 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.25/0.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.65 % No SInE strategy applied
% 0.25/0.65 % Search class: FGHNF-FFMM33-SFFFFFNN
% 0.25/0.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.65 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.65 % Preprocessing time : 0.003 s
% 0.25/0.65
% 0.25/0.65 % Proof found!
% 0.25/0.65 % SZS status Theorem
% 0.25/0.65 % SZS output start CNFRefutation
% See solution above
% 0.25/0.65 % Parsed axioms : 6
% 0.25/0.65 % Removed by relevancy pruning/SinE : 0
% 0.25/0.65 % Initial clauses : 31
% 0.25/0.65 % Removed in clause preprocessing : 0
% 0.25/0.65 % Initial clauses in saturation : 31
% 0.25/0.65 % Processed clauses : 357
% 0.25/0.65 % ...of these trivial : 0
% 0.25/0.65 % ...subsumed : 199
% 0.25/0.65 % ...remaining for further processing : 158
% 0.25/0.65 % Other redundant clauses eliminated : 0
% 0.25/0.65 % Clauses deleted for lack of memory : 0
% 0.25/0.65 % Backward-subsumed : 16
% 0.25/0.65 % Backward-rewritten : 2
% 0.25/0.65 % Generated clauses : 457
% 0.25/0.65 % ...of the previous two non-redundant : 448
% 0.25/0.65 % ...aggressively subsumed : 0
% 0.25/0.65 % Contextual simplify-reflections : 5
% 0.25/0.65 % Paramodulations : 457
% 0.25/0.65 % Factorizations : 0
% 0.25/0.65 % NegExts : 0
% 0.25/0.65 % Equation resolutions : 0
% 0.25/0.65 % Disequality decompositions : 0
% 0.25/0.65 % Total rewrite steps : 67
% 0.25/0.65 % ...of those cached : 60
% 0.25/0.65 % Propositional unsat checks : 0
% 0.25/0.65 % Propositional check models : 0
% 0.25/0.65 % Propositional check unsatisfiable : 0
% 0.25/0.65 % Propositional clauses : 0
% 0.25/0.65 % Propositional clauses after purity: 0
% 0.25/0.65 % Propositional unsat core size : 0
% 0.25/0.65 % Propositional preprocessing time : 0.000
% 0.25/0.65 % Propositional encoding time : 0.000
% 0.25/0.65 % Propositional solver time : 0.000
% 0.25/0.65 % Success case prop preproc time : 0.000
% 0.25/0.65 % Success case prop encoding time : 0.000
% 0.25/0.65 % Success case prop solver time : 0.000
% 0.25/0.65 % Current number of processed clauses : 140
% 0.25/0.65 % Positive orientable unit clauses : 18
% 0.25/0.65 % Positive unorientable unit clauses: 0
% 0.25/0.65 % Negative unit clauses : 3
% 0.25/0.65 % Non-unit-clauses : 119
% 0.25/0.65 % Current number of unprocessed clauses: 110
% 0.25/0.65 % ...number of literals in the above : 856
% 0.25/0.65 % Current number of archived formulas : 0
% 0.25/0.65 % Current number of archived clauses : 18
% 0.25/0.65 % Clause-clause subsumption calls (NU) : 10021
% 0.25/0.65 % Rec. Clause-clause subsumption calls : 1485
% 0.25/0.65 % Non-unit clause-clause subsumptions : 218
% 0.25/0.65 % Unit Clause-clause subsumption calls : 133
% 0.25/0.65 % Rewrite failures with RHS unbound : 0
% 0.25/0.65 % BW rewrite match attempts : 4
% 0.25/0.65 % BW rewrite match successes : 2
% 0.25/0.65 % Condensation attempts : 0
% 0.25/0.65 % Condensation successes : 0
% 0.25/0.65 % Termbank termtop insertions : 13091
% 0.25/0.65 % Search garbage collected termcells : 462
% 0.25/0.65
% 0.25/0.65 % -------------------------------------------------
% 0.25/0.65 % User time : 0.052 s
% 0.25/0.65 % System time : 0.008 s
% 0.25/0.65 % Total time : 0.060 s
% 0.25/0.65 % Maximum resident set size: 3656 pages
% 0.25/0.65
% 0.25/0.65 % -------------------------------------------------
% 0.25/0.65 % User time : 0.176 s
% 0.25/0.65 % System time : 0.049 s
% 0.25/0.65 % Total time : 0.226 s
% 0.25/0.65 % Maximum resident set size: 4608 pages
% 0.25/0.65 % E exiting
%------------------------------------------------------------------------------