%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB028+2 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:17:15 PM UTC 2026
% Result : Theorem 1.31s 1.72s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 64 ( 12 unt; 0 def)
% Number of atoms : 274 ( 16 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 341 ( 131 ~; 150 |; 46 &)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 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 : 142 ( 4 sgn 65 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_char_functional,axiom,
! [X3] :
( icext(uri_owl_FunctionalProperty,X3)
<=> ( ip(X3)
& ! [X1,X4,X5] :
( ( iext(X3,X1,X4)
& iext(X3,X1,X5) )
=> X4 = X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_functional) ).
fof(owl_restrict_somevaluesfrom,axiom,
! [X10,X3,X11] :
( ( iext(uri_owl_someValuesFrom,X10,X11)
& iext(uri_owl_onProperty,X10,X3) )
=> ! [X1] :
( icext(X10,X1)
<=> ? [X2] :
( iext(X3,X1,X2)
& icext(X11,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
fof(owl_inv,axiom,
! [X12,X13] :
( iext(uri_owl_inverseOf,X12,X13)
<=> ( ip(X12)
& ip(X13)
& ! [X1,X2] :
( iext(X12,X1,X2)
<=> iext(X13,X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
fof(owl_prop_inverseof_ext,axiom,
! [X1,X2] :
( iext(uri_owl_inverseOf,X1,X2)
=> ( ip(X1)
& ip(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_inverseof_ext) ).
fof(testcase_premise_fullish_028_Inferred_Property_Characteristics_III,axiom,
? [X14] :
( iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,X14)
& iext(uri_rdf_type,X14,uri_owl_Restriction)
& iext(uri_owl_onProperty,X14,uri_owl_inverseOf)
& iext(uri_owl_someValuesFrom,X14,uri_owl_FunctionalProperty) ),
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)
<=> ( ic(X8)
& ic(X9)
& ! [X1] :
( icext(X8,X1)
<=> icext(X9,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(owl_rdfsext_subclassof,axiom,
! [X8,X9] :
( iext(uri_rdfs_subClassOf,X8,X9)
<=> ( ic(X8)
& ic(X9)
& ! [X1] :
( icext(X8,X1)
=> icext(X9,X1) ) ) ),
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(X1)
& ic(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentclass_ext) ).
fof(owl_char_inversefunctional,axiom,
! [X3] :
( icext(uri_owl_InverseFunctionalProperty,X3)
<=> ( ip(X3)
& ! [X6,X7,X2] :
( ( iext(X3,X6,X2)
& iext(X3,X7,X2) )
=> X6 = X7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
fof(owl_class_inversefunctionalproperty_type,axiom,
ic(uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_inversefunctionalproperty_type) ).
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(c_0_11,plain,
! [X47,X48,X49,X50,X51] :
( ( ip(X47)
| ~ icext(uri_owl_FunctionalProperty,X47) )
& ( ~ iext(X47,X48,X49)
| ~ iext(X47,X48,X50)
| X49 = X50
| ~ icext(uri_owl_FunctionalProperty,X47) )
& ( iext(X51,esk1_1(X51),esk2_1(X51))
| ~ ip(X51)
| icext(uri_owl_FunctionalProperty,X51) )
& ( iext(X51,esk1_1(X51),esk3_1(X51))
| ~ ip(X51)
| icext(uri_owl_FunctionalProperty,X51) )
& ( esk2_1(X51) != esk3_1(X51)
| ~ ip(X51)
| icext(uri_owl_FunctionalProperty,X51) ) ),
inference(distribute,[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])])])])])]) ).
fof(c_0_12,plain,
! [X76,X77,X78,X79,X81,X82] :
( ( iext(X77,X79,esk9_4(X76,X77,X78,X79))
| ~ icext(X76,X79)
| ~ iext(uri_owl_someValuesFrom,X76,X78)
| ~ iext(uri_owl_onProperty,X76,X77) )
& ( icext(X78,esk9_4(X76,X77,X78,X79))
| ~ icext(X76,X79)
| ~ iext(uri_owl_someValuesFrom,X76,X78)
| ~ iext(uri_owl_onProperty,X76,X77) )
& ( ~ iext(X77,X81,X82)
| ~ icext(X78,X82)
| icext(X76,X81)
| ~ iext(uri_owl_someValuesFrom,X76,X78)
| ~ iext(uri_owl_onProperty,X76,X77) ) ),
inference(distribute,[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])])])])])]) ).
fof(c_0_13,plain,
! [X83,X84,X85,X86,X87,X88,X89,X90] :
( ( ip(X83)
| ~ iext(uri_owl_inverseOf,X83,X84) )
& ( ip(X84)
| ~ iext(uri_owl_inverseOf,X83,X84) )
& ( ~ iext(X83,X85,X86)
| iext(X84,X86,X85)
| ~ iext(uri_owl_inverseOf,X83,X84) )
& ( ~ iext(X84,X88,X87)
| iext(X83,X87,X88)
| ~ iext(uri_owl_inverseOf,X83,X84) )
& ( ~ iext(X89,esk10_2(X89,X90),esk11_2(X89,X90))
| ~ iext(X90,esk11_2(X89,X90),esk10_2(X89,X90))
| ~ ip(X89)
| ~ ip(X90)
| iext(uri_owl_inverseOf,X89,X90) )
& ( iext(X89,esk10_2(X89,X90),esk11_2(X89,X90))
| iext(X90,esk11_2(X89,X90),esk10_2(X89,X90))
| ~ ip(X89)
| ~ ip(X90)
| iext(uri_owl_inverseOf,X89,X90) ) ),
inference(distribute,[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])])])])])]) ).
fof(c_0_14,plain,
! [X43,X44] :
( ( ip(X43)
| ~ iext(uri_owl_inverseOf,X43,X44) )
& ( ip(X44)
| ~ iext(uri_owl_inverseOf,X43,X44) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_inverseof_ext])])]) ).
cnf(c_0_15,plain,
( X3 = X4
| ~ iext(X1,X2,X3)
| ~ iext(X1,X2,X4)
| ~ icext(uri_owl_FunctionalProperty,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( icext(X1,esk9_4(X2,X3,X1,X4))
| ~ icext(X2,X4)
| ~ iext(uri_owl_someValuesFrom,X2,X1)
| ~ iext(uri_owl_onProperty,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( iext(X4,X3,X2)
| ~ iext(X1,X2,X3)
| ~ iext(uri_owl_inverseOf,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( iext(X1,X2,esk9_4(X3,X1,X4,X2))
| ~ icext(X3,X2)
| ~ iext(uri_owl_someValuesFrom,X3,X4)
| ~ iext(uri_owl_onProperty,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( ip(X1)
| ~ iext(uri_owl_inverseOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_20,plain,
( iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,esk12_0)
& iext(uri_rdf_type,esk12_0,uri_owl_Restriction)
& iext(uri_owl_onProperty,esk12_0,uri_owl_inverseOf)
& iext(uri_owl_someValuesFrom,esk12_0,uri_owl_FunctionalProperty) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_028_Inferred_Property_Characteristics_III])]) ).
cnf(c_0_21,plain,
( X1 = X2
| ~ icext(X3,X4)
| ~ iext(esk9_4(X3,X5,uri_owl_FunctionalProperty,X4),X6,X2)
| ~ iext(esk9_4(X3,X5,uri_owl_FunctionalProperty,X4),X6,X1)
| ~ iext(uri_owl_someValuesFrom,X3,uri_owl_FunctionalProperty)
| ~ iext(uri_owl_onProperty,X3,X5) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,plain,
( iext(esk9_4(X1,uri_owl_inverseOf,X2,X3),X4,X5)
| ~ icext(X1,X3)
| ~ iext(uri_owl_onProperty,X1,uri_owl_inverseOf)
| ~ iext(uri_owl_someValuesFrom,X1,X2)
| ~ iext(X3,X5,X4) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
( ip(X1)
| ~ icext(X2,X1)
| ~ iext(uri_owl_onProperty,X2,uri_owl_inverseOf)
| ~ iext(uri_owl_someValuesFrom,X2,X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_24,plain,
iext(uri_owl_onProperty,esk12_0,uri_owl_inverseOf),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
( X1 = X2
| ~ icext(X3,X4)
| ~ iext(esk9_4(X3,uri_owl_inverseOf,uri_owl_FunctionalProperty,X4),X5,X1)
| ~ iext(uri_owl_someValuesFrom,X3,uri_owl_FunctionalProperty)
| ~ iext(uri_owl_onProperty,X3,uri_owl_inverseOf)
| ~ iext(X4,X2,X5) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_26,plain,
! [X69,X70,X71,X72,X73,X74] :
( ( ic(X69)
| ~ iext(uri_owl_equivalentClass,X69,X70) )
& ( ic(X70)
| ~ iext(uri_owl_equivalentClass,X69,X70) )
& ( ~ icext(X69,X71)
| icext(X70,X71)
| ~ iext(uri_owl_equivalentClass,X69,X70) )
& ( ~ icext(X70,X72)
| icext(X69,X72)
| ~ iext(uri_owl_equivalentClass,X69,X70) )
& ( ~ icext(X73,esk8_2(X73,X74))
| ~ icext(X74,esk8_2(X73,X74))
| ~ ic(X73)
| ~ ic(X74)
| iext(uri_owl_equivalentClass,X73,X74) )
& ( icext(X73,esk8_2(X73,X74))
| icext(X74,esk8_2(X73,X74))
| ~ ic(X73)
| ~ ic(X74)
| iext(uri_owl_equivalentClass,X73,X74) ) ),
inference(distribute,[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])])])])])]) ).
fof(c_0_27,plain,
! [X63,X64,X65,X66,X67] :
( ( ic(X63)
| ~ iext(uri_rdfs_subClassOf,X63,X64) )
& ( ic(X64)
| ~ iext(uri_rdfs_subClassOf,X63,X64) )
& ( ~ icext(X63,X65)
| icext(X64,X65)
| ~ iext(uri_rdfs_subClassOf,X63,X64) )
& ( icext(X66,esk7_2(X66,X67))
| ~ ic(X66)
| ~ ic(X67)
| iext(uri_rdfs_subClassOf,X66,X67) )
& ( ~ icext(X67,esk7_2(X66,X67))
| ~ ic(X66)
| ~ ic(X67)
| iext(uri_rdfs_subClassOf,X66,X67) ) ),
inference(distribute,[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_28,plain,
! [X45,X46] :
( ( ic(X45)
| ~ iext(uri_owl_equivalentClass,X45,X46) )
& ( ic(X46)
| ~ iext(uri_owl_equivalentClass,X45,X46) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_equivalentclass_ext])])]) ).
fof(c_0_29,plain,
! [X55,X56,X57,X58,X59] :
( ( ip(X55)
| ~ icext(uri_owl_InverseFunctionalProperty,X55) )
& ( ~ iext(X55,X56,X58)
| ~ iext(X55,X57,X58)
| X56 = X57
| ~ icext(uri_owl_InverseFunctionalProperty,X55) )
& ( iext(X59,esk4_1(X59),esk6_1(X59))
| ~ ip(X59)
| icext(uri_owl_InverseFunctionalProperty,X59) )
& ( iext(X59,esk5_1(X59),esk6_1(X59))
| ~ ip(X59)
| icext(uri_owl_InverseFunctionalProperty,X59) )
& ( esk4_1(X59) != esk5_1(X59)
| ~ ip(X59)
| icext(uri_owl_InverseFunctionalProperty,X59) ) ),
inference(distribute,[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_30,plain,
( ip(X1)
| ~ icext(esk12_0,X1)
| ~ iext(uri_owl_someValuesFrom,esk12_0,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,plain,
iext(uri_owl_someValuesFrom,esk12_0,uri_owl_FunctionalProperty),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,plain,
( X1 = X2
| ~ icext(X3,X4)
| ~ iext(uri_owl_someValuesFrom,X3,uri_owl_FunctionalProperty)
| ~ iext(uri_owl_onProperty,X3,uri_owl_inverseOf)
| ~ iext(X4,X2,X5)
| ~ iext(X4,X1,X5) ),
inference(spm,[status(thm)],[c_0_25,c_0_22]) ).
cnf(c_0_33,plain,
( icext(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_equivalentClass,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,plain,
iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_35,plain,
( icext(X1,esk7_2(X1,X2))
| iext(uri_rdfs_subClassOf,X1,X2)
| ~ ic(X1)
| ~ ic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_36,plain,
ic(uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[owl_class_inversefunctionalproperty_type]) ).
cnf(c_0_37,plain,
( ic(X1)
| ~ iext(uri_owl_equivalentClass,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_38,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III])]) ).
cnf(c_0_39,plain,
( iext(X1,esk5_1(X1),esk6_1(X1))
| icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,plain,
( ip(X1)
| ~ icext(esk12_0,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_41,plain,
( X1 = X2
| ~ icext(esk12_0,X3)
| ~ iext(X3,X2,X4)
| ~ iext(X3,X1,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_31]),c_0_24])]) ).
cnf(c_0_42,plain,
( icext(esk12_0,X1)
| ~ icext(uri_ex_InversesOfFunctionalProperties,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_43,plain,
( icext(X1,esk7_2(X1,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,X1,uri_owl_InverseFunctionalProperty)
| ~ ic(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_44,plain,
ic(uri_ex_InversesOfFunctionalProperties),
inference(spm,[status(thm)],[c_0_37,c_0_34]) ).
cnf(c_0_45,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk5_1(X1),esk6_1(X1))
| ~ icext(esk12_0,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,plain,
( iext(X1,esk4_1(X1),esk6_1(X1))
| icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_48,plain,
( X1 = X2
| ~ icext(uri_ex_InversesOfFunctionalProperties,X3)
| ~ iext(X3,X2,X4)
| ~ iext(X3,X1,X4) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,plain,
icext(uri_ex_InversesOfFunctionalProperties,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_50,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk5_1(X1),esk6_1(X1))
| ~ icext(uri_ex_InversesOfFunctionalProperties,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_42]) ).
cnf(c_0_51,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk4_1(X1),esk6_1(X1))
| ~ icext(esk12_0,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_40]) ).
cnf(c_0_52,plain,
( X1 = X2
| ~ iext(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),X2,X3)
| ~ iext(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),X1,X3) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_53,plain,
( icext(uri_owl_InverseFunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| 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(spm,[status(thm)],[c_0_50,c_0_49]) ).
cnf(c_0_54,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk4_1(X1),esk6_1(X1))
| ~ icext(uri_ex_InversesOfFunctionalProperties,X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_42]) ).
cnf(c_0_55,plain,
( X1 = esk5_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| icext(uri_owl_InverseFunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| ~ iext(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),X1,esk6_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,plain,
( icext(uri_owl_InverseFunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| 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(spm,[status(thm)],[c_0_54,c_0_49]) ).
cnf(c_0_57,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| esk4_1(X1) != esk5_1(X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_58,plain,
( esk5_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) = esk4_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_55,c_0_56]) ).
cnf(c_0_59,plain,
( icext(uri_owl_InverseFunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| ~ ip(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_60,plain,
( icext(uri_owl_InverseFunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| ~ icext(esk12_0,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) ),
inference(spm,[status(thm)],[c_0_59,c_0_40]) ).
cnf(c_0_61,plain,
( iext(uri_rdfs_subClassOf,X2,X1)
| ~ icext(X1,esk7_2(X2,X1))
| ~ ic(X2)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
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_42]),c_0_49])]) ).
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_61,c_0_62]),c_0_44]),c_0_36])]),c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB028+2 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n016.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 04:10:06 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.31/1.72 % Version : CSE_E---1.7
% 1.31/1.72 % Problem : theBenchmark.p
% 1.31/1.72 % SZS status Theorem for theBenchmark.p
% 1.31/1.72 % SZS output start CNFRefutation
% See solution above
% 1.31/1.72 % Total time : 1.370s
%------------------------------------------------------------------------------