%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWB028+2 : 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 : n004.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 02:38:25 PM UTC 2026
% Result : Theorem 0.24s 0.63s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 64 ( 23 unt; 0 def)
% Number of atoms : 238 ( 11 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 277 ( 103 ~; 114 |; 46 &)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 11 con; 0-4 aty)
% Number of variables : 111 ( 2 sgn 65 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III) ).
fof(owl_rdfsext_subclassof,axiom,
! [X8,X9] :
( iext(uri_rdfs_subClassOf,X8,X9)
<=> ( ! [X1] :
( icext(X8,X1)
=> icext(X9,X1) )
& ic(X9)
& ic(X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(owl_prop_equivalentclass_ext,axiom,
! [X1,X2] :
( iext(uri_owl_equivalentClass,X1,X2)
=> ( ic(X2)
& ic(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentclass_ext) ).
fof(testcase_premise_fullish_028_Inferred_Property_Characteristics_III,axiom,
? [X14] :
( iext(uri_owl_someValuesFrom,X14,uri_owl_FunctionalProperty)
& iext(uri_owl_onProperty,X14,uri_owl_inverseOf)
& iext(uri_rdf_type,X14,uri_owl_Restriction)
& iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_028_Inferred_Property_Characteristics_III) ).
fof(owl_eqdis_equivalentclass,axiom,
! [X8,X9] :
( iext(uri_owl_equivalentClass,X8,X9)
<=> ( ! [X1] :
( icext(X8,X1)
<=> icext(X9,X1) )
& ic(X9)
& ic(X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(owl_class_inversefunctionalproperty_type,axiom,
ic(uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_inversefunctionalproperty_type) ).
fof(owl_restrict_somevaluesfrom,axiom,
! [X10,X3,X11] :
( ( iext(uri_owl_onProperty,X10,X3)
& iext(uri_owl_someValuesFrom,X10,X11) )
=> ! [X1] :
( icext(X10,X1)
<=> ? [X2] :
( icext(X11,X2)
& iext(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
fof(owl_prop_inverseof_ext,axiom,
! [X1,X2] :
( iext(uri_owl_inverseOf,X1,X2)
=> ( ip(X2)
& ip(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_inverseof_ext) ).
fof(owl_char_inversefunctional,axiom,
! [X3] :
( icext(uri_owl_InverseFunctionalProperty,X3)
<=> ( ! [X6,X7,X2] :
( ( iext(X3,X7,X2)
& iext(X3,X6,X2) )
=> X6 = X7 )
& ip(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
fof(owl_inv,axiom,
! [X12,X13] :
( iext(uri_owl_inverseOf,X12,X13)
<=> ( ! [X1,X2] :
( iext(X12,X1,X2)
<=> iext(X13,X2,X1) )
& ip(X13)
& ip(X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
fof(owl_char_functional,axiom,
! [X3] :
( icext(uri_owl_FunctionalProperty,X3)
<=> ( ! [X1,X4,X5] :
( ( iext(X3,X1,X5)
& iext(X3,X1,X4) )
=> X4 = X5 )
& ip(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_functional) ).
fof(c_0_11,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III]) ).
fof(c_0_12,plain,
! [X35,X36,X37,X38,X39] :
( ( iext(uri_rdfs_subClassOf,X38,X39)
| ~ ic(X39)
| ~ ic(X38)
| ~ icext(X39,esk7_2(X38,X39)) )
& ( iext(uri_rdfs_subClassOf,X38,X39)
| ~ ic(X39)
| ~ ic(X38)
| icext(X38,esk7_2(X38,X39)) )
& ( ~ iext(uri_rdfs_subClassOf,X35,X36)
| icext(X36,X37)
| ~ icext(X35,X37) )
& ( ~ iext(uri_rdfs_subClassOf,X35,X36)
| ic(X36) )
& ( ~ iext(uri_rdfs_subClassOf,X35,X36)
| ic(X35) ) ),
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_subclassof])])])])])])]) ).
fof(c_0_13,plain,
! [X17,X18] :
( ( ~ iext(uri_owl_equivalentClass,X17,X18)
| ic(X18) )
& ( ~ iext(uri_owl_equivalentClass,X17,X18)
| ic(X17) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_equivalentclass_ext])])])]) ).
fof(c_0_14,plain,
( iext(uri_owl_someValuesFrom,esk12_0,uri_owl_FunctionalProperty)
& iext(uri_owl_onProperty,esk12_0,uri_owl_inverseOf)
& iext(uri_rdf_type,esk12_0,uri_owl_Restriction)
& iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,esk12_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_028_Inferred_Property_Characteristics_III])]) ).
fof(c_0_15,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X41,X42,X43,X44,X45,X46] :
( ( iext(uri_owl_equivalentClass,X45,X46)
| ~ ic(X46)
| ~ ic(X45)
| icext(X46,esk8_2(X45,X46))
| icext(X45,esk8_2(X45,X46)) )
& ( iext(uri_owl_equivalentClass,X45,X46)
| ~ ic(X46)
| ~ ic(X45)
| ~ icext(X46,esk8_2(X45,X46))
| ~ icext(X45,esk8_2(X45,X46)) )
& ( ~ iext(uri_owl_equivalentClass,X41,X42)
| icext(X41,X44)
| ~ icext(X42,X44) )
& ( ~ iext(uri_owl_equivalentClass,X41,X42)
| icext(X42,X43)
| ~ icext(X41,X43) )
& ( ~ iext(uri_owl_equivalentClass,X41,X42)
| ic(X42) )
& ( ~ iext(uri_owl_equivalentClass,X41,X42)
| ic(X41) ) ),
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_eqdis_equivalentclass])])])])])])]) ).
cnf(c_0_17,plain,
( ~ ic(X2)
| ~ ic(X1)
| iext(uri_rdfs_subClassOf,X1,X2)
| icext(X1,esk7_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
ic(uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[owl_class_inversefunctionalproperty_type]) ).
cnf(c_0_19,plain,
( ~ iext(uri_owl_equivalentClass,X1,X2)
| ic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_21,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(fof_nnf,[status(thm)],[c_0_15]) ).
fof(c_0_22,plain,
! [X48,X49,X50,X51,X53,X54] :
( ( ~ iext(uri_owl_onProperty,X48,X49)
| ~ iext(uri_owl_someValuesFrom,X48,X50)
| icext(X48,X53)
| ~ icext(X50,X54)
| ~ iext(X49,X53,X54) )
& ( ~ iext(uri_owl_onProperty,X48,X49)
| ~ iext(uri_owl_someValuesFrom,X48,X50)
| ~ icext(X48,X51)
| icext(X50,esk9_4(X48,X49,X50,X51)) )
& ( ~ iext(uri_owl_onProperty,X48,X49)
| ~ iext(uri_owl_someValuesFrom,X48,X50)
| ~ icext(X48,X51)
| iext(X49,X51,esk9_4(X48,X49,X50,X51)) ) ),
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_restrict_somevaluesfrom])])])])])])]) ).
cnf(c_0_23,plain,
( ~ iext(uri_owl_equivalentClass,X1,X3)
| ~ icext(X1,X2)
| icext(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( ~ ic(X1)
| iext(uri_rdfs_subClassOf,X1,uri_owl_InverseFunctionalProperty)
| icext(X1,esk7_2(X1,uri_owl_InverseFunctionalProperty)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,plain,
ic(uri_ex_InversesOfFunctionalProperties),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
( ~ iext(uri_owl_onProperty,X3,X1)
| ~ iext(uri_owl_someValuesFrom,X3,X4)
| ~ icext(X3,X2)
| iext(X1,X2,esk9_4(X3,X1,X4,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
iext(uri_owl_someValuesFrom,esk12_0,uri_owl_FunctionalProperty),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_29,plain,
( ~ icext(uri_ex_InversesOfFunctionalProperties,X1)
| icext(esk12_0,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_20]) ).
cnf(c_0_30,plain,
icext(uri_ex_InversesOfFunctionalProperties,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_31,plain,
( ~ iext(uri_owl_onProperty,esk12_0,X1)
| ~ icext(esk12_0,X2)
| iext(X1,X2,esk9_4(esk12_0,X1,uri_owl_FunctionalProperty,X2)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,plain,
icext(esk12_0,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_33,plain,
! [X15,X16] :
( ( ~ iext(uri_owl_inverseOf,X15,X16)
| ip(X16) )
& ( ~ iext(uri_owl_inverseOf,X15,X16)
| ip(X15) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_inverseof_ext])])])]) ).
cnf(c_0_34,plain,
( ~ iext(uri_owl_onProperty,esk12_0,X1)
| iext(X1,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),esk9_4(esk12_0,X1,uri_owl_FunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,plain,
iext(uri_owl_onProperty,esk12_0,uri_owl_inverseOf),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_36,plain,
( ~ iext(uri_owl_onProperty,X2,X3)
| ~ iext(uri_owl_someValuesFrom,X2,X1)
| ~ icext(X2,X4)
| icext(X1,esk9_4(X2,X3,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_37,plain,
! [X27,X28,X29,X30,X31] :
( ( icext(uri_owl_InverseFunctionalProperty,X31)
| ~ ip(X31)
| esk4_1(X31) != esk5_1(X31) )
& ( icext(uri_owl_InverseFunctionalProperty,X31)
| ~ ip(X31)
| iext(X31,esk5_1(X31),esk6_1(X31)) )
& ( icext(uri_owl_InverseFunctionalProperty,X31)
| ~ ip(X31)
| iext(X31,esk4_1(X31),esk6_1(X31)) )
& ( ~ icext(uri_owl_InverseFunctionalProperty,X27)
| X28 = X29
| ~ iext(X27,X29,X30)
| ~ iext(X27,X28,X30) )
& ( ~ icext(uri_owl_InverseFunctionalProperty,X27)
| ip(X27) ) ),
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_char_inversefunctional])])])])])])]) ).
cnf(c_0_38,plain,
( ~ iext(uri_owl_inverseOf,X1,X2)
| ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_39,plain,
iext(uri_owl_inverseOf,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),esk9_4(esk12_0,uri_owl_inverseOf,uri_owl_FunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,plain,
( ~ iext(uri_owl_onProperty,esk12_0,X1)
| ~ icext(esk12_0,X2)
| icext(uri_owl_FunctionalProperty,esk9_4(esk12_0,X1,uri_owl_FunctionalProperty,X2)) ),
inference(spm,[status(thm)],[c_0_36,c_0_28]) ).
fof(c_0_41,plain,
! [X55,X56,X57,X58,X59,X60,X61,X62] :
( ( iext(uri_owl_inverseOf,X61,X62)
| ~ ip(X62)
| ~ ip(X61)
| iext(X62,esk11_2(X61,X62),esk10_2(X61,X62))
| iext(X61,esk10_2(X61,X62),esk11_2(X61,X62)) )
& ( iext(uri_owl_inverseOf,X61,X62)
| ~ ip(X62)
| ~ ip(X61)
| ~ iext(X62,esk11_2(X61,X62),esk10_2(X61,X62))
| ~ iext(X61,esk10_2(X61,X62),esk11_2(X61,X62)) )
& ( ~ iext(uri_owl_inverseOf,X55,X56)
| iext(X55,X59,X60)
| ~ iext(X56,X60,X59) )
& ( ~ iext(uri_owl_inverseOf,X55,X56)
| iext(X56,X58,X57)
| ~ iext(X55,X57,X58) )
& ( ~ iext(uri_owl_inverseOf,X55,X56)
| ip(X56) )
& ( ~ iext(uri_owl_inverseOf,X55,X56)
| ip(X55) ) ),
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_inv])])])])])])]) ).
cnf(c_0_42,plain,
( ~ ip(X1)
| icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk5_1(X1),esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,plain,
ip(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_44,plain,
! [X19,X20,X21,X22,X23] :
( ( icext(uri_owl_FunctionalProperty,X23)
| ~ ip(X23)
| esk2_1(X23) != esk3_1(X23) )
& ( icext(uri_owl_FunctionalProperty,X23)
| ~ ip(X23)
| iext(X23,esk1_1(X23),esk3_1(X23)) )
& ( icext(uri_owl_FunctionalProperty,X23)
| ~ ip(X23)
| iext(X23,esk1_1(X23),esk2_1(X23)) )
& ( ~ icext(uri_owl_FunctionalProperty,X19)
| X21 = X22
| ~ iext(X19,X20,X22)
| ~ iext(X19,X20,X21) )
& ( ~ icext(uri_owl_FunctionalProperty,X19)
| ip(X19) ) ),
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_char_functional])])])])])])]) ).
cnf(c_0_45,plain,
( ~ iext(uri_owl_onProperty,esk12_0,X1)
| icext(uri_owl_FunctionalProperty,esk9_4(esk12_0,X1,uri_owl_FunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))) ),
inference(spm,[status(thm)],[c_0_40,c_0_32]) ).
cnf(c_0_46,plain,
( ~ iext(uri_owl_inverseOf,X1,X4)
| ~ iext(X1,X2,X3)
| iext(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,plain,
( ~ ic(X1)
| ~ ic(X2)
| ~ icext(X1,esk7_2(X2,X1))
| iext(uri_rdfs_subClassOf,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_48,plain,
( iext(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),esk5_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk6_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)))
| icext(uri_owl_InverseFunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,plain,
( ~ ip(X1)
| icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk4_1(X1),esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_50,plain,
( ~ icext(uri_owl_FunctionalProperty,X1)
| ~ iext(X1,X2,X4)
| ~ iext(X1,X2,X3)
| X3 = X4 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,plain,
icext(uri_owl_FunctionalProperty,esk9_4(esk12_0,uri_owl_inverseOf,uri_owl_FunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(spm,[status(thm)],[c_0_45,c_0_35]) ).
cnf(c_0_52,plain,
( ~ iext(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),X2,X1)
| iext(esk9_4(esk12_0,uri_owl_inverseOf,uri_owl_FunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),X1,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_39]) ).
cnf(c_0_53,plain,
iext(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),esk5_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk6_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_25]),c_0_18])]),c_0_26]) ).
cnf(c_0_54,plain,
( iext(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),esk4_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk6_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)))
| icext(uri_owl_InverseFunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) ),
inference(spm,[status(thm)],[c_0_49,c_0_43]) ).
cnf(c_0_55,plain,
( ~ iext(esk9_4(esk12_0,uri_owl_inverseOf,uri_owl_FunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),X3,X1)
| ~ iext(esk9_4(esk12_0,uri_owl_inverseOf,uri_owl_FunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),X3,X2)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,plain,
iext(esk9_4(esk12_0,uri_owl_inverseOf,uri_owl_FunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk6_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk5_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_57,plain,
iext(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),esk4_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk6_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_54]),c_0_25]),c_0_18])]),c_0_26]) ).
cnf(c_0_58,plain,
( ~ iext(esk9_4(esk12_0,uri_owl_inverseOf,uri_owl_FunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk6_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),X1)
| X1 = esk5_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,plain,
iext(esk9_4(esk12_0,uri_owl_inverseOf,uri_owl_FunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk6_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk4_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(spm,[status(thm)],[c_0_52,c_0_57]) ).
cnf(c_0_60,plain,
( ~ ip(X1)
| esk4_1(X1) != esk5_1(X1)
| icext(uri_owl_InverseFunctionalProperty,X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_61,plain,
esk5_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) = esk4_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_62,plain,
icext(uri_owl_InverseFunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_43])]) ).
cnf(c_0_63,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_62]),c_0_25]),c_0_18])]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWB028+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.46 % Computer : n004.cluster.edu
% 0.21/0.46 % Model : x86_64 x86_64
% 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46 % Memory : 8046.5625MB
% 0.21/0.46 % OS : Linux 6.8.0-71-generic
% 0.21/0.46 % CPULimit : 300
% 0.21/0.46 % WCLimit : 300
% 0.21/0.46 % DateTime : Mon Sep 21 07:42:04 UTC 2026
% 0.21/0.46 % CPUTime :
% 0.21/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.52 Running first-order theorem proving
% 0.24/0.53 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
% 0.24/0.63 % Version: 3.5.1
% 0.24/0.63 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.24/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.24/0.63 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.63 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.63 % Starting sh5l with 300s (1) cores
% 0.24/0.63 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2625026 completed with status 0
% 0.24/0.63 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.24/0.63 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.24/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.24/0.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.63 % No SInE strategy applied
% 0.24/0.63 % Search class: FGUSF-FFMS31-SFFFFFNN
% 0.24/0.63 % partial match(1): FGHSF-FFMS31-SFFFFFNN
% 0.24/0.63 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.63 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.24/0.63 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S0Y with 209s (1) cores
% 0.24/0.63 % Starting new_bool_3 with 189s (1) cores
% 0.24/0.63 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.24/0.63 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2625031 completed with status 0
% 0.24/0.63 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.24/0.63 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.24/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.24/0.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.63 % No SInE strategy applied
% 0.24/0.63 % Search class: FGUSF-FFMS31-SFFFFFNN
% 0.24/0.63 % partial match(1): FGHSF-FFMS31-SFFFFFNN
% 0.24/0.63 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.63 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.24/0.63 % Preprocessing time : 0.002 s
% 0.24/0.63 % Presaturation interreduction done
% 0.24/0.63
% 0.24/0.63 % Proof found!
% 0.24/0.63 % SZS status Theorem
% 0.24/0.63 % SZS output start CNFRefutation
% See solution above
% 0.24/0.63 % Parsed axioms : 11
% 0.24/0.63 % Removed by relevancy pruning/SinE : 0
% 0.24/0.63 % Initial clauses : 40
% 0.24/0.63 % Removed in clause preprocessing : 0
% 0.24/0.63 % Initial clauses in saturation : 40
% 0.24/0.63 % Processed clauses : 143
% 0.24/0.63 % ...of these trivial : 1
% 0.24/0.63 % ...subsumed : 9
% 0.24/0.63 % ...remaining for further processing : 133
% 0.24/0.63 % Other redundant clauses eliminated : 0
% 0.24/0.63 % Clauses deleted for lack of memory : 0
% 0.24/0.63 % Backward-subsumed : 0
% 0.24/0.63 % Backward-rewritten : 12
% 0.24/0.63 % Generated clauses : 150
% 0.24/0.63 % ...of the previous two non-redundant : 120
% 0.24/0.63 % ...aggressively subsumed : 0
% 0.24/0.63 % Contextual simplify-reflections : 1
% 0.24/0.63 % Paramodulations : 150
% 0.24/0.63 % Factorizations : 0
% 0.24/0.63 % NegExts : 0
% 0.24/0.63 % Equation resolutions : 0
% 0.24/0.63 % Disequality decompositions : 0
% 0.24/0.63 % Total rewrite steps : 54
% 0.24/0.63 % ...of those cached : 37
% 0.24/0.63 % Propositional unsat checks : 0
% 0.24/0.63 % Propositional check models : 0
% 0.24/0.63 % Propositional check unsatisfiable : 0
% 0.24/0.63 % Propositional clauses : 0
% 0.24/0.63 % Propositional clauses after purity: 0
% 0.24/0.63 % Propositional unsat core size : 0
% 0.24/0.63 % Propositional preprocessing time : 0.000
% 0.24/0.63 % Propositional encoding time : 0.000
% 0.24/0.63 % Propositional solver time : 0.000
% 0.24/0.63 % Success case prop preproc time : 0.000
% 0.24/0.63 % Success case prop encoding time : 0.000
% 0.24/0.63 % Success case prop solver time : 0.000
% 0.24/0.63 % Current number of processed clauses : 85
% 0.24/0.63 % Positive orientable unit clauses : 22
% 0.24/0.63 % Positive unorientable unit clauses: 0
% 0.24/0.63 % Negative unit clauses : 1
% 0.24/0.63 % Non-unit-clauses : 62
% 0.24/0.63 % Current number of unprocessed clauses: 50
% 0.24/0.63 % ...number of literals in the above : 163
% 0.24/0.63 % Current number of archived formulas : 0
% 0.24/0.63 % Current number of archived clauses : 48
% 0.24/0.63 % Clause-clause subsumption calls (NU) : 385
% 0.24/0.63 % Rec. Clause-clause subsumption calls : 209
% 0.24/0.63 % Non-unit clause-clause subsumptions : 10
% 0.24/0.63 % Unit Clause-clause subsumption calls : 72
% 0.24/0.63 % Rewrite failures with RHS unbound : 0
% 0.24/0.63 % BW rewrite match attempts : 19
% 0.24/0.63 % BW rewrite match successes : 8
% 0.24/0.63 % Condensation attempts : 0
% 0.24/0.63 % Condensation successes : 0
% 0.24/0.63 % Termbank termtop insertions : 5975
% 0.24/0.63 % Search garbage collected termcells : 790
% 0.24/0.63
% 0.24/0.63 % -------------------------------------------------
% 0.24/0.63 % User time : 0.027 s
% 0.24/0.63 % System time : 0.004 s
% 0.24/0.63 % Total time : 0.031 s
% 0.24/0.63 % Maximum resident set size: 3648 pages
% 0.24/0.63
% 0.24/0.63 % -------------------------------------------------
% 0.24/0.63 % User time : 0.183 s
% 0.24/0.63 % System time : 0.018 s
% 0.24/0.63 % Total time : 0.201 s
% 0.24/0.63 % Maximum resident set size: 4608 pages
% 0.24/0.63 % E exiting
%------------------------------------------------------------------------------