TSTP Solution File: SWB028+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWB028+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n026.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 : Thu Aug 31 20:02:07 EDT 2023
% Result : Theorem 0.18s 0.68s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 37
% Syntax : Number of formulae : 89 ( 12 unt; 26 typ; 0 def)
% Number of atoms : 276 ( 17 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 351 ( 138 ~; 153 |; 46 &)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 15 >; 10 *; 0 +; 0 <<)
% 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 : 144 ( 5 sgn; 65 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
uri_owl_InverseFunctionalProperty: $i ).
tff(decl_23,type,
ic: $i > $o ).
tff(decl_24,type,
uri_owl_inverseOf: $i ).
tff(decl_25,type,
iext: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
ip: $i > $o ).
tff(decl_27,type,
uri_owl_equivalentClass: $i ).
tff(decl_28,type,
uri_owl_FunctionalProperty: $i ).
tff(decl_29,type,
icext: ( $i * $i ) > $o ).
tff(decl_30,type,
uri_rdfs_subClassOf: $i ).
tff(decl_31,type,
uri_owl_someValuesFrom: $i ).
tff(decl_32,type,
uri_owl_onProperty: $i ).
tff(decl_33,type,
uri_ex_InversesOfFunctionalProperties: $i ).
tff(decl_34,type,
uri_rdf_type: $i ).
tff(decl_35,type,
uri_owl_Restriction: $i ).
tff(decl_36,type,
esk1_1: $i > $i ).
tff(decl_37,type,
esk2_1: $i > $i ).
tff(decl_38,type,
esk3_1: $i > $i ).
tff(decl_39,type,
esk4_1: $i > $i ).
tff(decl_40,type,
esk5_1: $i > $i ).
tff(decl_41,type,
esk6_1: $i > $i ).
tff(decl_42,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_43,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_44,type,
esk9_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_45,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_46,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_47,type,
esk12_0: $i ).
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/sandbox/benchmark/theBenchmark.p',owl_inv) ).
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/sandbox/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
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/sandbox/benchmark/theBenchmark.p',owl_char_functional) ).
fof(owl_prop_inverseof_ext,axiom,
! [X1,X2] :
( iext(uri_owl_inverseOf,X1,X2)
=> ( ip(X1)
& ip(X2) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_028_Inferred_Property_Characteristics_III) ).
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/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',owl_prop_equivalentclass_ext) ).
fof(owl_class_inversefunctionalproperty_type,axiom,
ic(uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_inversefunctionalproperty_type) ).
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/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III) ).
fof(c_0_11,plain,
! [X55,X56,X57,X58,X59,X60,X61,X62] :
( ( ip(X55)
| ~ iext(uri_owl_inverseOf,X55,X56) )
& ( ip(X56)
| ~ iext(uri_owl_inverseOf,X55,X56) )
& ( ~ iext(X55,X57,X58)
| iext(X56,X58,X57)
| ~ iext(uri_owl_inverseOf,X55,X56) )
& ( ~ iext(X56,X60,X59)
| iext(X55,X59,X60)
| ~ iext(uri_owl_inverseOf,X55,X56) )
& ( ~ iext(X61,esk10_2(X61,X62),esk11_2(X61,X62))
| ~ iext(X62,esk11_2(X61,X62),esk10_2(X61,X62))
| ~ ip(X61)
| ~ ip(X62)
| iext(uri_owl_inverseOf,X61,X62) )
& ( iext(X61,esk10_2(X61,X62),esk11_2(X61,X62))
| iext(X62,esk11_2(X61,X62),esk10_2(X61,X62))
| ~ ip(X61)
| ~ ip(X62)
| iext(uri_owl_inverseOf,X61,X62) ) ),
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_12,plain,
! [X48,X49,X50,X51,X53,X54] :
( ( iext(X49,X51,esk9_4(X48,X49,X50,X51))
| ~ icext(X48,X51)
| ~ iext(uri_owl_someValuesFrom,X48,X50)
| ~ iext(uri_owl_onProperty,X48,X49) )
& ( icext(X50,esk9_4(X48,X49,X50,X51))
| ~ icext(X48,X51)
| ~ iext(uri_owl_someValuesFrom,X48,X50)
| ~ iext(uri_owl_onProperty,X48,X49) )
& ( ~ iext(X49,X53,X54)
| ~ icext(X50,X54)
| icext(X48,X53)
| ~ iext(uri_owl_someValuesFrom,X48,X50)
| ~ iext(uri_owl_onProperty,X48,X49) ) ),
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,
! [X19,X20,X21,X22,X23] :
( ( ip(X19)
| ~ icext(uri_owl_FunctionalProperty,X19) )
& ( ~ iext(X19,X20,X21)
| ~ iext(X19,X20,X22)
| X21 = X22
| ~ icext(uri_owl_FunctionalProperty,X19) )
& ( iext(X23,esk1_1(X23),esk2_1(X23))
| ~ ip(X23)
| icext(uri_owl_FunctionalProperty,X23) )
& ( iext(X23,esk1_1(X23),esk3_1(X23))
| ~ ip(X23)
| icext(uri_owl_FunctionalProperty,X23) )
& ( esk2_1(X23) != esk3_1(X23)
| ~ ip(X23)
| icext(uri_owl_FunctionalProperty,X23) ) ),
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])])])])])]) ).
cnf(c_0_14,plain,
( iext(X4,X3,X2)
| ~ iext(X1,X2,X3)
| ~ iext(uri_owl_inverseOf,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,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_16,plain,
( X3 = X4
| ~ iext(X1,X2,X3)
| ~ iext(X1,X2,X4)
| ~ icext(uri_owl_FunctionalProperty,X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,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_14,c_0_15]) ).
fof(c_0_18,plain,
! [X15,X16] :
( ( ip(X15)
| ~ iext(uri_owl_inverseOf,X15,X16) )
& ( ip(X16)
| ~ iext(uri_owl_inverseOf,X15,X16) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_inverseof_ext])])]) ).
cnf(c_0_19,plain,
( X1 = X2
| ~ icext(uri_owl_FunctionalProperty,esk9_4(X3,uri_owl_inverseOf,X4,X5))
| ~ icext(X3,X5)
| ~ iext(esk9_4(X3,uri_owl_inverseOf,X4,X5),X6,X1)
| ~ iext(uri_owl_onProperty,X3,uri_owl_inverseOf)
| ~ iext(uri_owl_someValuesFrom,X3,X4)
| ~ iext(X5,X2,X6) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
( ip(X1)
| ~ iext(uri_owl_inverseOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_21,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_22,plain,
( X1 = X2
| ~ icext(uri_owl_FunctionalProperty,esk9_4(X3,uri_owl_inverseOf,X4,X5))
| ~ icext(X3,X5)
| ~ iext(uri_owl_onProperty,X3,uri_owl_inverseOf)
| ~ iext(uri_owl_someValuesFrom,X3,X4)
| ~ iext(X5,X2,X6)
| ~ iext(X5,X1,X6) ),
inference(spm,[status(thm)],[c_0_19,c_0_17]) ).
cnf(c_0_23,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_24,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_20,c_0_15]) ).
cnf(c_0_25,plain,
iext(uri_owl_onProperty,esk12_0,uri_owl_inverseOf),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
( X1 = X2
| ~ icext(X3,X4)
| ~ iext(uri_owl_onProperty,X3,uri_owl_inverseOf)
| ~ iext(uri_owl_someValuesFrom,X3,uri_owl_FunctionalProperty)
| ~ iext(X4,X2,X5)
| ~ iext(X4,X1,X5) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
iext(uri_owl_someValuesFrom,esk12_0,uri_owl_FunctionalProperty),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_28,plain,
! [X27,X28,X29,X30,X31] :
( ( ip(X27)
| ~ icext(uri_owl_InverseFunctionalProperty,X27) )
& ( ~ iext(X27,X28,X30)
| ~ iext(X27,X29,X30)
| X28 = X29
| ~ icext(uri_owl_InverseFunctionalProperty,X27) )
& ( iext(X31,esk4_1(X31),esk6_1(X31))
| ~ ip(X31)
| icext(uri_owl_InverseFunctionalProperty,X31) )
& ( iext(X31,esk5_1(X31),esk6_1(X31))
| ~ ip(X31)
| icext(uri_owl_InverseFunctionalProperty,X31) )
& ( esk4_1(X31) != esk5_1(X31)
| ~ ip(X31)
| icext(uri_owl_InverseFunctionalProperty,X31) ) ),
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_29,plain,
( ip(X1)
| ~ icext(esk12_0,X1)
| ~ iext(uri_owl_someValuesFrom,esk12_0,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,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_26,c_0_25]),c_0_27])]) ).
cnf(c_0_31,plain,
( iext(X1,esk5_1(X1),esk6_1(X1))
| icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
( ip(X1)
| ~ icext(esk12_0,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_27]) ).
fof(c_0_33,plain,
! [X35,X36,X37,X38,X39] :
( ( ic(X35)
| ~ iext(uri_rdfs_subClassOf,X35,X36) )
& ( ic(X36)
| ~ iext(uri_rdfs_subClassOf,X35,X36) )
& ( ~ icext(X35,X37)
| icext(X36,X37)
| ~ iext(uri_rdfs_subClassOf,X35,X36) )
& ( icext(X38,esk7_2(X38,X39))
| ~ ic(X38)
| ~ ic(X39)
| iext(uri_rdfs_subClassOf,X38,X39) )
& ( ~ icext(X39,esk7_2(X38,X39))
| ~ ic(X38)
| ~ ic(X39)
| iext(uri_rdfs_subClassOf,X38,X39) ) ),
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])])])])])]) ).
cnf(c_0_34,plain,
( X1 = esk5_1(X2)
| icext(uri_owl_InverseFunctionalProperty,X2)
| ~ icext(esk12_0,X2)
| ~ iext(X2,X1,esk6_1(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_35,plain,
( iext(X1,esk4_1(X1),esk6_1(X1))
| icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_36,plain,
! [X17,X18] :
( ( ic(X17)
| ~ iext(uri_owl_equivalentClass,X17,X18) )
& ( ic(X18)
| ~ iext(uri_owl_equivalentClass,X17,X18) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_equivalentclass_ext])])]) ).
cnf(c_0_37,plain,
( iext(uri_rdfs_subClassOf,X2,X1)
| ~ icext(X1,esk7_2(X2,X1))
| ~ ic(X2)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,plain,
( esk5_1(X1) = esk4_1(X1)
| icext(uri_owl_InverseFunctionalProperty,X1)
| ~ icext(esk12_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_32]) ).
cnf(c_0_39,plain,
ic(uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[owl_class_inversefunctionalproperty_type]) ).
cnf(c_0_40,plain,
( ic(X1)
| ~ iext(uri_owl_equivalentClass,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,plain,
iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_42,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| esk4_1(X1) != esk5_1(X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_43,plain,
( esk5_1(esk7_2(X1,uri_owl_InverseFunctionalProperty)) = esk4_1(esk7_2(X1,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,X1,uri_owl_InverseFunctionalProperty)
| ~ icext(esk12_0,esk7_2(X1,uri_owl_InverseFunctionalProperty))
| ~ ic(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).
cnf(c_0_44,plain,
( icext(X1,esk7_2(X1,X2))
| iext(uri_rdfs_subClassOf,X1,X2)
| ~ ic(X1)
| ~ ic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_45,plain,
ic(esk12_0),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,plain,
( iext(uri_rdfs_subClassOf,X1,uri_owl_InverseFunctionalProperty)
| esk5_1(esk7_2(X1,uri_owl_InverseFunctionalProperty)) != esk4_1(esk7_2(X1,uri_owl_InverseFunctionalProperty))
| ~ ip(esk7_2(X1,uri_owl_InverseFunctionalProperty))
| ~ ic(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_42]),c_0_39])]) ).
cnf(c_0_47,plain,
( esk5_1(esk7_2(esk12_0,uri_owl_InverseFunctionalProperty)) = esk4_1(esk7_2(esk12_0,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,esk12_0,uri_owl_InverseFunctionalProperty) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_39])]) ).
cnf(c_0_48,plain,
( iext(uri_rdfs_subClassOf,esk12_0,uri_owl_InverseFunctionalProperty)
| ~ ip(esk7_2(esk12_0,uri_owl_InverseFunctionalProperty)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_45])]) ).
cnf(c_0_49,plain,
( ip(esk7_2(esk12_0,X1))
| iext(uri_rdfs_subClassOf,esk12_0,X1)
| ~ ic(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_44]),c_0_45])]) ).
cnf(c_0_50,plain,
( icext(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_rdfs_subClassOf,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_51,plain,
iext(uri_rdfs_subClassOf,esk12_0,uri_owl_InverseFunctionalProperty),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_39])]) ).
fof(c_0_52,plain,
! [X41,X42,X43,X44,X45,X46] :
( ( ic(X41)
| ~ iext(uri_owl_equivalentClass,X41,X42) )
& ( ic(X42)
| ~ iext(uri_owl_equivalentClass,X41,X42) )
& ( ~ icext(X41,X43)
| icext(X42,X43)
| ~ iext(uri_owl_equivalentClass,X41,X42) )
& ( ~ icext(X42,X44)
| icext(X41,X44)
| ~ iext(uri_owl_equivalentClass,X41,X42) )
& ( ~ icext(X45,esk8_2(X45,X46))
| ~ icext(X46,esk8_2(X45,X46))
| ~ ic(X45)
| ~ ic(X46)
| iext(uri_owl_equivalentClass,X45,X46) )
& ( icext(X45,esk8_2(X45,X46))
| icext(X46,esk8_2(X45,X46))
| ~ ic(X45)
| ~ ic(X46)
| iext(uri_owl_equivalentClass,X45,X46) ) ),
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])])])])])]) ).
cnf(c_0_53,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| ~ icext(esk12_0,X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_54,plain,
( icext(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_equivalentClass,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_55,plain,
( iext(uri_rdfs_subClassOf,X1,uri_owl_InverseFunctionalProperty)
| ~ icext(esk12_0,esk7_2(X1,uri_owl_InverseFunctionalProperty))
| ~ ic(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_53]),c_0_39])]) ).
cnf(c_0_56,plain,
( icext(esk12_0,X1)
| ~ icext(uri_ex_InversesOfFunctionalProperties,X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_41]) ).
cnf(c_0_57,plain,
( ic(X1)
| ~ iext(uri_owl_equivalentClass,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_58,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_59,plain,
( iext(uri_rdfs_subClassOf,X1,uri_owl_InverseFunctionalProperty)
| ~ icext(uri_ex_InversesOfFunctionalProperties,esk7_2(X1,uri_owl_InverseFunctionalProperty))
| ~ ic(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_60,plain,
ic(uri_ex_InversesOfFunctionalProperties),
inference(spm,[status(thm)],[c_0_57,c_0_41]) ).
cnf(c_0_61,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_62,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_44]),c_0_60]),c_0_39])]),c_0_61]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB028+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Aug 27 06:49:03 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.18/0.57 start to proof: theBenchmark
% 0.18/0.68 % Version : CSE_E---1.5
% 0.18/0.68 % Problem : theBenchmark.p
% 0.18/0.68 % Proof found
% 0.18/0.68 % SZS status Theorem for theBenchmark.p
% 0.18/0.68 % SZS output start Proof
% See solution above
% 0.18/0.69 % Total time : 0.107000 s
% 0.18/0.69 % SZS output end Proof
% 0.18/0.69 % Total time : 0.110000 s
%------------------------------------------------------------------------------