TSTP Solution File: SWB013+2 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWB013+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:37:48 EDT 2023
% Result : Theorem 0.18s 0.49s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 63 ( 26 unt; 0 def)
% Number of atoms : 358 ( 5 equ)
% Maximal formula atoms : 91 ( 5 avg)
% Number of connectives : 492 ( 197 ~; 202 |; 80 &)
% ( 8 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 36 ( 36 usr; 26 con; 0-7 aty)
% Number of variables : 166 ( 0 sgn; 70 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_chain_003,axiom,
! [X4,X10,X8,X11,X9,X12,X13] :
( ( iext(uri_rdf_first,X10,X8)
& iext(uri_rdf_rest,X10,X11)
& iext(uri_rdf_first,X11,X9)
& iext(uri_rdf_rest,X11,X12)
& iext(uri_rdf_first,X12,X13)
& iext(uri_rdf_rest,X12,uri_rdf_nil) )
=> ( iext(uri_owl_propertyChainAxiom,X4,X10)
<=> ( ip(X4)
& ip(X8)
& ip(X9)
& ip(X13)
& ! [X14,X15,X16,X17] :
( ( iext(X8,X14,X15)
& iext(X9,X15,X16)
& iext(X13,X16,X17) )
=> iext(X4,X14,X17) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.vasi7jCv0U/E---3.1_1875.p',owl_chain_003) ).
fof(testcase_premise_fullish_013_Cliques,axiom,
? [X18,X19,X20,X21,X22] :
( iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class)
& iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)
& iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique)
& iext(uri_rdfs_subClassOf,uri_ex_Clique,X18)
& iext(uri_rdf_type,X18,uri_owl_Restriction)
& iext(uri_owl_onProperty,X18,uri_ex_sameCliqueAs)
& iext(uri_owl_someValuesFrom,X18,uri_ex_Clique)
& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,X20)
& iext(uri_rdf_first,X20,uri_rdf_type)
& iext(uri_rdf_rest,X20,X21)
& iext(uri_rdf_first,X21,uri_ex_sameCliqueAs)
& iext(uri_rdf_rest,X21,X22)
& iext(uri_rdf_first,X22,X19)
& iext(uri_rdf_rest,X22,uri_rdf_nil)
& iext(uri_owl_inverseOf,X19,uri_rdf_type)
& iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang) ),
file('/export/starexec/sandbox/tmp/tmp.vasi7jCv0U/E---3.1_1875.p',testcase_premise_fullish_013_Cliques) ).
fof(owl_rdfsext_subclassof,axiom,
! [X6,X7] :
( iext(uri_rdfs_subClassOf,X6,X7)
<=> ( ic(X6)
& ic(X7)
& ! [X1] :
( icext(X6,X1)
=> icext(X7,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.vasi7jCv0U/E---3.1_1875.p',owl_rdfsext_subclassof) ).
fof(rdfs_cext_def,axiom,
! [X1,X2] :
( iext(uri_rdf_type,X1,X2)
<=> icext(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.vasi7jCv0U/E---3.1_1875.p',rdfs_cext_def) ).
fof(owl_restrict_somevaluesfrom,axiom,
! [X3,X4,X2] :
( ( iext(uri_owl_someValuesFrom,X3,X2)
& iext(uri_owl_onProperty,X3,X4) )
=> ! [X1] :
( icext(X3,X1)
<=> ? [X5] :
( iext(X4,X1,X5)
& icext(X2,X5) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.vasi7jCv0U/E---3.1_1875.p',owl_restrict_somevaluesfrom) ).
fof(owl_rdfsext_subpropertyof,axiom,
! [X8,X9] :
( iext(uri_rdfs_subPropertyOf,X8,X9)
<=> ( ip(X8)
& ip(X9)
& ! [X1,X5] :
( iext(X8,X1,X5)
=> iext(X9,X1,X5) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.vasi7jCv0U/E---3.1_1875.p',owl_rdfsext_subpropertyof) ).
fof(owl_inv,axiom,
! [X8,X9] :
( iext(uri_owl_inverseOf,X8,X9)
<=> ( ip(X8)
& ip(X9)
& ! [X1,X5] :
( iext(X8,X1,X5)
<=> iext(X9,X5,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.vasi7jCv0U/E---3.1_1875.p',owl_inv) ).
fof(owl_eqdis_sameas,axiom,
! [X1,X5] :
( iext(uri_owl_sameAs,X1,X5)
<=> X1 = X5 ),
file('/export/starexec/sandbox/tmp/tmp.vasi7jCv0U/E---3.1_1875.p',owl_eqdis_sameas) ).
fof(testcase_conclusion_fullish_013_Cliques,conjecture,
iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
file('/export/starexec/sandbox/tmp/tmp.vasi7jCv0U/E---3.1_1875.p',testcase_conclusion_fullish_013_Cliques) ).
fof(c_0_9,plain,
! [X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58] :
( ( ip(X48)
| ~ iext(uri_owl_propertyChainAxiom,X48,X49)
| ~ iext(uri_rdf_first,X49,X50)
| ~ iext(uri_rdf_rest,X49,X51)
| ~ iext(uri_rdf_first,X51,X52)
| ~ iext(uri_rdf_rest,X51,X53)
| ~ iext(uri_rdf_first,X53,X54)
| ~ iext(uri_rdf_rest,X53,uri_rdf_nil) )
& ( ip(X50)
| ~ iext(uri_owl_propertyChainAxiom,X48,X49)
| ~ iext(uri_rdf_first,X49,X50)
| ~ iext(uri_rdf_rest,X49,X51)
| ~ iext(uri_rdf_first,X51,X52)
| ~ iext(uri_rdf_rest,X51,X53)
| ~ iext(uri_rdf_first,X53,X54)
| ~ iext(uri_rdf_rest,X53,uri_rdf_nil) )
& ( ip(X52)
| ~ iext(uri_owl_propertyChainAxiom,X48,X49)
| ~ iext(uri_rdf_first,X49,X50)
| ~ iext(uri_rdf_rest,X49,X51)
| ~ iext(uri_rdf_first,X51,X52)
| ~ iext(uri_rdf_rest,X51,X53)
| ~ iext(uri_rdf_first,X53,X54)
| ~ iext(uri_rdf_rest,X53,uri_rdf_nil) )
& ( ip(X54)
| ~ iext(uri_owl_propertyChainAxiom,X48,X49)
| ~ iext(uri_rdf_first,X49,X50)
| ~ iext(uri_rdf_rest,X49,X51)
| ~ iext(uri_rdf_first,X51,X52)
| ~ iext(uri_rdf_rest,X51,X53)
| ~ iext(uri_rdf_first,X53,X54)
| ~ iext(uri_rdf_rest,X53,uri_rdf_nil) )
& ( ~ iext(X50,X55,X56)
| ~ iext(X52,X56,X57)
| ~ iext(X54,X57,X58)
| iext(X48,X55,X58)
| ~ iext(uri_owl_propertyChainAxiom,X48,X49)
| ~ iext(uri_rdf_first,X49,X50)
| ~ iext(uri_rdf_rest,X49,X51)
| ~ iext(uri_rdf_first,X51,X52)
| ~ iext(uri_rdf_rest,X51,X53)
| ~ iext(uri_rdf_first,X53,X54)
| ~ iext(uri_rdf_rest,X53,uri_rdf_nil) )
& ( iext(X50,esk5_7(X48,X49,X50,X51,X52,X53,X54),esk6_7(X48,X49,X50,X51,X52,X53,X54))
| ~ ip(X48)
| ~ ip(X50)
| ~ ip(X52)
| ~ ip(X54)
| iext(uri_owl_propertyChainAxiom,X48,X49)
| ~ iext(uri_rdf_first,X49,X50)
| ~ iext(uri_rdf_rest,X49,X51)
| ~ iext(uri_rdf_first,X51,X52)
| ~ iext(uri_rdf_rest,X51,X53)
| ~ iext(uri_rdf_first,X53,X54)
| ~ iext(uri_rdf_rest,X53,uri_rdf_nil) )
& ( iext(X52,esk6_7(X48,X49,X50,X51,X52,X53,X54),esk7_7(X48,X49,X50,X51,X52,X53,X54))
| ~ ip(X48)
| ~ ip(X50)
| ~ ip(X52)
| ~ ip(X54)
| iext(uri_owl_propertyChainAxiom,X48,X49)
| ~ iext(uri_rdf_first,X49,X50)
| ~ iext(uri_rdf_rest,X49,X51)
| ~ iext(uri_rdf_first,X51,X52)
| ~ iext(uri_rdf_rest,X51,X53)
| ~ iext(uri_rdf_first,X53,X54)
| ~ iext(uri_rdf_rest,X53,uri_rdf_nil) )
& ( iext(X54,esk7_7(X48,X49,X50,X51,X52,X53,X54),esk8_7(X48,X49,X50,X51,X52,X53,X54))
| ~ ip(X48)
| ~ ip(X50)
| ~ ip(X52)
| ~ ip(X54)
| iext(uri_owl_propertyChainAxiom,X48,X49)
| ~ iext(uri_rdf_first,X49,X50)
| ~ iext(uri_rdf_rest,X49,X51)
| ~ iext(uri_rdf_first,X51,X52)
| ~ iext(uri_rdf_rest,X51,X53)
| ~ iext(uri_rdf_first,X53,X54)
| ~ iext(uri_rdf_rest,X53,uri_rdf_nil) )
& ( ~ iext(X48,esk5_7(X48,X49,X50,X51,X52,X53,X54),esk8_7(X48,X49,X50,X51,X52,X53,X54))
| ~ ip(X48)
| ~ ip(X50)
| ~ ip(X52)
| ~ ip(X54)
| iext(uri_owl_propertyChainAxiom,X48,X49)
| ~ iext(uri_rdf_first,X49,X50)
| ~ iext(uri_rdf_rest,X49,X51)
| ~ iext(uri_rdf_first,X51,X52)
| ~ iext(uri_rdf_rest,X51,X53)
| ~ iext(uri_rdf_first,X53,X54)
| ~ iext(uri_rdf_rest,X53,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_chain_003])])])])]) ).
fof(c_0_10,plain,
( iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class)
& iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)
& iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique)
& iext(uri_rdfs_subClassOf,uri_ex_Clique,esk11_0)
& iext(uri_rdf_type,esk11_0,uri_owl_Restriction)
& iext(uri_owl_onProperty,esk11_0,uri_ex_sameCliqueAs)
& iext(uri_owl_someValuesFrom,esk11_0,uri_ex_Clique)
& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,esk13_0)
& iext(uri_rdf_first,esk13_0,uri_rdf_type)
& iext(uri_rdf_rest,esk13_0,esk14_0)
& iext(uri_rdf_first,esk14_0,uri_ex_sameCliqueAs)
& iext(uri_rdf_rest,esk14_0,esk15_0)
& iext(uri_rdf_first,esk15_0,esk12_0)
& iext(uri_rdf_rest,esk15_0,uri_rdf_nil)
& iext(uri_owl_inverseOf,esk12_0,uri_rdf_type)
& iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_013_Cliques])]) ).
cnf(c_0_11,plain,
( iext(X8,X2,X7)
| ~ iext(X1,X2,X3)
| ~ iext(X4,X3,X5)
| ~ iext(X6,X5,X7)
| ~ iext(uri_owl_propertyChainAxiom,X8,X9)
| ~ iext(uri_rdf_first,X9,X1)
| ~ iext(uri_rdf_rest,X9,X10)
| ~ iext(uri_rdf_first,X10,X4)
| ~ iext(uri_rdf_rest,X10,X11)
| ~ iext(uri_rdf_first,X11,X6)
| ~ iext(uri_rdf_rest,X11,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
iext(uri_rdf_rest,esk15_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X32,X33,X34,X35,X36] :
( ( ic(X32)
| ~ iext(uri_rdfs_subClassOf,X32,X33) )
& ( ic(X33)
| ~ iext(uri_rdfs_subClassOf,X32,X33) )
& ( ~ icext(X32,X34)
| icext(X33,X34)
| ~ iext(uri_rdfs_subClassOf,X32,X33) )
& ( icext(X35,esk2_2(X35,X36))
| ~ ic(X35)
| ~ ic(X36)
| iext(uri_rdfs_subClassOf,X35,X36) )
& ( ~ icext(X36,esk2_2(X35,X36))
| ~ ic(X35)
| ~ ic(X36)
| iext(uri_rdfs_subClassOf,X35,X36) ) ),
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_14,plain,
! [X23,X24] :
( ( ~ iext(uri_rdf_type,X23,X24)
| icext(X24,X23) )
& ( ~ icext(X24,X23)
| iext(uri_rdf_type,X23,X24) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
cnf(c_0_15,plain,
( iext(X1,X2,X3)
| ~ iext(uri_rdf_first,esk15_0,X4)
| ~ iext(uri_rdf_rest,X5,esk15_0)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_first,X7,X8)
| ~ iext(uri_rdf_rest,X7,X5)
| ~ iext(uri_owl_propertyChainAxiom,X1,X7)
| ~ iext(X4,X9,X3)
| ~ iext(X6,X10,X9)
| ~ iext(X8,X2,X10) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
iext(uri_rdf_first,esk15_0,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_17,plain,
! [X25,X26,X27,X28,X30,X31] :
( ( iext(X26,X28,esk1_4(X25,X26,X27,X28))
| ~ icext(X25,X28)
| ~ iext(uri_owl_someValuesFrom,X25,X27)
| ~ iext(uri_owl_onProperty,X25,X26) )
& ( icext(X27,esk1_4(X25,X26,X27,X28))
| ~ icext(X25,X28)
| ~ iext(uri_owl_someValuesFrom,X25,X27)
| ~ iext(uri_owl_onProperty,X25,X26) )
& ( ~ iext(X26,X30,X31)
| ~ icext(X27,X31)
| icext(X25,X30)
| ~ iext(uri_owl_someValuesFrom,X25,X27)
| ~ iext(uri_owl_onProperty,X25,X26) ) ),
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])])])])])]) ).
cnf(c_0_18,plain,
( icext(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_rdfs_subClassOf,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
iext(uri_rdfs_subClassOf,uri_ex_Clique,esk11_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,plain,
( icext(X2,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,plain,
( iext(X1,X2,X3)
| ~ iext(uri_rdf_rest,X4,esk15_0)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_first,X6,X7)
| ~ iext(uri_rdf_rest,X6,X4)
| ~ iext(uri_owl_propertyChainAxiom,X1,X6)
| ~ iext(esk12_0,X8,X3)
| ~ iext(X5,X9,X8)
| ~ iext(X7,X2,X9) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,plain,
iext(uri_rdf_rest,esk14_0,esk15_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_24,plain,
( iext(X1,X2,esk1_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_17]) ).
cnf(c_0_25,plain,
iext(uri_owl_someValuesFrom,esk11_0,uri_ex_Clique),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,plain,
( icext(esk11_0,X1)
| ~ icext(uri_ex_Clique,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_27,plain,
icext(uri_ex_Clique,uri_ex_JoesGang),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,plain,
( iext(X1,X2,X3)
| ~ iext(uri_rdf_first,esk14_0,X4)
| ~ iext(uri_rdf_rest,X5,esk14_0)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_owl_propertyChainAxiom,X1,X5)
| ~ iext(esk12_0,X7,X3)
| ~ iext(X4,X8,X7)
| ~ iext(X6,X2,X8) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,plain,
iext(uri_rdf_first,esk14_0,uri_ex_sameCliqueAs),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_30,plain,
! [X38,X39,X40,X41,X42,X43] :
( ( ip(X38)
| ~ iext(uri_rdfs_subPropertyOf,X38,X39) )
& ( ip(X39)
| ~ iext(uri_rdfs_subPropertyOf,X38,X39) )
& ( ~ iext(X38,X40,X41)
| iext(X39,X40,X41)
| ~ iext(uri_rdfs_subPropertyOf,X38,X39) )
& ( iext(X42,esk3_2(X42,X43),esk4_2(X42,X43))
| ~ ip(X42)
| ~ ip(X43)
| iext(uri_rdfs_subPropertyOf,X42,X43) )
& ( ~ iext(X43,esk3_2(X42,X43),esk4_2(X42,X43))
| ~ ip(X42)
| ~ ip(X43)
| iext(uri_rdfs_subPropertyOf,X42,X43) ) ),
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_subpropertyof])])])])])]) ).
cnf(c_0_31,plain,
( iext(X1,X2,esk1_4(esk11_0,X1,uri_ex_Clique,X2))
| ~ icext(esk11_0,X2)
| ~ iext(uri_owl_onProperty,esk11_0,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,plain,
icext(esk11_0,uri_ex_JoesGang),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,plain,
( iext(X1,X2,X3)
| ~ iext(uri_rdf_rest,X4,esk14_0)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_owl_propertyChainAxiom,X1,X4)
| ~ iext(esk12_0,X6,X3)
| ~ iext(uri_ex_sameCliqueAs,X7,X6)
| ~ iext(X5,X2,X7) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,plain,
iext(uri_rdf_rest,esk13_0,esk14_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_35,plain,
! [X63,X64,X65,X66,X67,X68,X69,X70] :
( ( ip(X63)
| ~ iext(uri_owl_inverseOf,X63,X64) )
& ( ip(X64)
| ~ iext(uri_owl_inverseOf,X63,X64) )
& ( ~ iext(X63,X65,X66)
| iext(X64,X66,X65)
| ~ iext(uri_owl_inverseOf,X63,X64) )
& ( ~ iext(X64,X68,X67)
| iext(X63,X67,X68)
| ~ iext(uri_owl_inverseOf,X63,X64) )
& ( ~ iext(X69,esk9_2(X69,X70),esk10_2(X69,X70))
| ~ iext(X70,esk10_2(X69,X70),esk9_2(X69,X70))
| ~ ip(X69)
| ~ ip(X70)
| iext(uri_owl_inverseOf,X69,X70) )
& ( iext(X69,esk9_2(X69,X70),esk10_2(X69,X70))
| iext(X70,esk10_2(X69,X70),esk9_2(X69,X70))
| ~ ip(X69)
| ~ ip(X70)
| iext(uri_owl_inverseOf,X69,X70) ) ),
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])])])])])]) ).
cnf(c_0_36,plain,
( iext(X4,X2,X3)
| ~ iext(X1,X2,X3)
| ~ iext(uri_rdfs_subPropertyOf,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,plain,
iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_38,plain,
( iext(X1,uri_ex_JoesGang,esk1_4(esk11_0,X1,uri_ex_Clique,uri_ex_JoesGang))
| ~ iext(uri_owl_onProperty,esk11_0,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_39,plain,
iext(uri_owl_onProperty,esk11_0,uri_ex_sameCliqueAs),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_40,plain,
( iext(X1,X2,X3)
| ~ iext(uri_rdf_first,esk13_0,X4)
| ~ iext(uri_owl_propertyChainAxiom,X1,esk13_0)
| ~ iext(esk12_0,X5,X3)
| ~ iext(uri_ex_sameCliqueAs,X6,X5)
| ~ iext(X4,X2,X6) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,plain,
iext(uri_rdf_first,esk13_0,uri_rdf_type),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_42,plain,
( iext(X4,X3,X2)
| ~ iext(X1,X2,X3)
| ~ iext(uri_owl_inverseOf,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,plain,
iext(uri_owl_inverseOf,esk12_0,uri_rdf_type),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_44,plain,
! [X46,X47] :
( ( ~ iext(uri_owl_sameAs,X46,X47)
| X46 = X47 )
& ( X46 != X47
| iext(uri_owl_sameAs,X46,X47) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_sameas])]) ).
cnf(c_0_45,plain,
( iext(uri_owl_sameAs,X1,X2)
| ~ iext(uri_ex_sameCliqueAs,X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_46,plain,
iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,esk1_4(esk11_0,uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang)),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_47,plain,
( iext(X1,X2,X3)
| ~ iext(uri_owl_propertyChainAxiom,X1,esk13_0)
| ~ iext(esk12_0,X4,X3)
| ~ iext(uri_ex_sameCliqueAs,X5,X4)
| ~ iext(uri_rdf_type,X2,X5) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_48,plain,
iext(uri_owl_propertyChainAxiom,uri_foaf_knows,esk13_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_49,plain,
( iext(esk12_0,X1,X2)
| ~ iext(uri_rdf_type,X2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_50,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_51,plain,
( X1 = X2
| ~ iext(uri_owl_sameAs,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,plain,
iext(uri_owl_sameAs,uri_ex_JoesGang,esk1_4(esk11_0,uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang)),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_53,plain,
( iext(uri_foaf_knows,X1,X2)
| ~ iext(esk12_0,X3,X2)
| ~ iext(uri_ex_sameCliqueAs,X4,X3)
| ~ iext(uri_rdf_type,X1,X4) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_54,plain,
iext(esk12_0,uri_ex_JoesGang,uri_ex_bob),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,plain,
esk1_4(esk11_0,uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang) = uri_ex_JoesGang,
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_56,plain,
( iext(uri_foaf_knows,X1,uri_ex_bob)
| ~ iext(uri_ex_sameCliqueAs,X2,uri_ex_JoesGang)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_57,plain,
iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang),
inference(rw,[status(thm)],[c_0_46,c_0_55]) ).
fof(c_0_58,negated_conjecture,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_013_Cliques])]) ).
cnf(c_0_59,plain,
( iext(uri_foaf_knows,X1,uri_ex_bob)
| ~ iext(uri_rdf_type,X1,uri_ex_JoesGang) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_60,plain,
iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_61,negated_conjecture,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_62,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWB013+2 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Oct 2 20:24:24 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.18/0.44 Running first-order model finding
% 0.18/0.44 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.vasi7jCv0U/E---3.1_1875.p
% 0.18/0.49 # Version: 3.1pre001
% 0.18/0.49 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.18/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.18/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.49 # Starting sh5l with 300s (1) cores
% 0.18/0.49 # new_bool_3 with pid 1955 completed with status 8
% 0.18/0.49 # new_bool_1 with pid 1956 completed with status 8
% 0.18/0.49 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1954 completed with status 0
% 0.18/0.49 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.18/0.49 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.18/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.18/0.49 # No SInE strategy applied
% 0.18/0.49 # Search class: FGUSF-FFMM33-SFFFFFNN
% 0.18/0.49 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.49 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.18/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.18/0.49 # Starting new_bool_3 with 136s (1) cores
% 0.18/0.49 # Starting new_bool_1 with 136s (1) cores
% 0.18/0.49 # Starting sh5l with 136s (1) cores
% 0.18/0.49 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1965 completed with status 0
% 0.18/0.49 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.18/0.49 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.18/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.18/0.49 # No SInE strategy applied
% 0.18/0.49 # Search class: FGUSF-FFMM33-SFFFFFNN
% 0.18/0.49 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.49 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.18/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.18/0.49 # Preprocessing time : 0.001 s
% 0.18/0.49 # Presaturation interreduction done
% 0.18/0.49
% 0.18/0.49 # Proof found!
% 0.18/0.49 # SZS status Theorem
% 0.18/0.49 # SZS output start CNFRefutation
% See solution above
% 0.18/0.49 # Parsed axioms : 9
% 0.18/0.49 # Removed by relevancy pruning/SinE : 0
% 0.18/0.49 # Initial clauses : 52
% 0.18/0.49 # Removed in clause preprocessing : 0
% 0.18/0.49 # Initial clauses in saturation : 52
% 0.18/0.49 # Processed clauses : 695
% 0.18/0.49 # ...of these trivial : 6
% 0.18/0.49 # ...subsumed : 230
% 0.18/0.49 # ...remaining for further processing : 459
% 0.18/0.49 # Other redundant clauses eliminated : 1
% 0.18/0.49 # Clauses deleted for lack of memory : 0
% 0.18/0.49 # Backward-subsumed : 7
% 0.18/0.49 # Backward-rewritten : 13
% 0.18/0.49 # Generated clauses : 901
% 0.18/0.49 # ...of the previous two non-redundant : 810
% 0.18/0.49 # ...aggressively subsumed : 0
% 0.18/0.49 # Contextual simplify-reflections : 0
% 0.18/0.49 # Paramodulations : 900
% 0.18/0.49 # Factorizations : 0
% 0.18/0.49 # NegExts : 0
% 0.18/0.49 # Equation resolutions : 1
% 0.18/0.49 # Total rewrite steps : 129
% 0.18/0.49 # Propositional unsat checks : 0
% 0.18/0.49 # Propositional check models : 0
% 0.18/0.49 # Propositional check unsatisfiable : 0
% 0.18/0.49 # Propositional clauses : 0
% 0.18/0.49 # Propositional clauses after purity: 0
% 0.18/0.49 # Propositional unsat core size : 0
% 0.18/0.49 # Propositional preprocessing time : 0.000
% 0.18/0.49 # Propositional encoding time : 0.000
% 0.18/0.49 # Propositional solver time : 0.000
% 0.18/0.49 # Success case prop preproc time : 0.000
% 0.18/0.49 # Success case prop encoding time : 0.000
% 0.18/0.49 # Success case prop solver time : 0.000
% 0.18/0.49 # Current number of processed clauses : 386
% 0.18/0.49 # Positive orientable unit clauses : 51
% 0.18/0.49 # Positive unorientable unit clauses: 0
% 0.18/0.49 # Negative unit clauses : 1
% 0.18/0.49 # Non-unit-clauses : 334
% 0.18/0.49 # Current number of unprocessed clauses: 199
% 0.18/0.49 # ...number of literals in the above : 721
% 0.18/0.49 # Current number of archived formulas : 0
% 0.18/0.49 # Current number of archived clauses : 72
% 0.18/0.49 # Clause-clause subsumption calls (NU) : 26918
% 0.18/0.49 # Rec. Clause-clause subsumption calls : 12987
% 0.18/0.49 # Non-unit clause-clause subsumptions : 237
% 0.18/0.49 # Unit Clause-clause subsumption calls : 449
% 0.18/0.49 # Rewrite failures with RHS unbound : 0
% 0.18/0.49 # BW rewrite match attempts : 30
% 0.18/0.49 # BW rewrite match successes : 8
% 0.18/0.49 # Condensation attempts : 0
% 0.18/0.49 # Condensation successes : 0
% 0.18/0.49 # Termbank termtop insertions : 19119
% 0.18/0.49
% 0.18/0.49 # -------------------------------------------------
% 0.18/0.49 # User time : 0.045 s
% 0.18/0.49 # System time : 0.003 s
% 0.18/0.49 # Total time : 0.048 s
% 0.18/0.49 # Maximum resident set size: 1900 pages
% 0.18/0.49
% 0.18/0.49 # -------------------------------------------------
% 0.18/0.49 # User time : 0.248 s
% 0.18/0.49 # System time : 0.013 s
% 0.18/0.49 # Total time : 0.261 s
% 0.18/0.49 # Maximum resident set size: 1720 pages
% 0.18/0.49 % E---3.1 exiting
%------------------------------------------------------------------------------