TSTP Solution File: SWB013+2 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWB013+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 : 600s
% DateTime : Tue Jul 19 19:01:58 EDT 2022
% Result : Theorem 0.11s 1.29s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 61 ( 20 unt; 0 def)
% Number of atoms : 363 ( 6 equ)
% Maximal formula atoms : 91 ( 5 avg)
% Number of connectives : 507 ( 205 ~; 209 |; 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 : 178 ( 14 sgn 74 !; 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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',testcase_premise_fullish_013_Cliques) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_rdfsext_subpropertyof) ).
fof(owl_eqdis_sameas,axiom,
! [X1,X5] :
( iext(uri_owl_sameAs,X1,X5)
<=> X1 = X5 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_eqdis_sameas) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_restrict_somevaluesfrom) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_rdfsext_subclassof) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_inv) ).
fof(rdfs_cext_def,axiom,
! [X1,X2] :
( iext(uri_rdf_type,X1,X2)
<=> icext(X2,X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',rdfs_cext_def) ).
fof(testcase_conclusion_fullish_013_Cliques,conjecture,
iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',testcase_conclusion_fullish_013_Cliques) ).
fof(c_0_9,plain,
! [X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28] :
( ( ip(X18)
| ~ iext(uri_owl_propertyChainAxiom,X18,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,X21)
| ~ iext(uri_rdf_first,X21,X22)
| ~ iext(uri_rdf_rest,X21,X23)
| ~ iext(uri_rdf_first,X23,X24)
| ~ iext(uri_rdf_rest,X23,uri_rdf_nil) )
& ( ip(X20)
| ~ iext(uri_owl_propertyChainAxiom,X18,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,X21)
| ~ iext(uri_rdf_first,X21,X22)
| ~ iext(uri_rdf_rest,X21,X23)
| ~ iext(uri_rdf_first,X23,X24)
| ~ iext(uri_rdf_rest,X23,uri_rdf_nil) )
& ( ip(X22)
| ~ iext(uri_owl_propertyChainAxiom,X18,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,X21)
| ~ iext(uri_rdf_first,X21,X22)
| ~ iext(uri_rdf_rest,X21,X23)
| ~ iext(uri_rdf_first,X23,X24)
| ~ iext(uri_rdf_rest,X23,uri_rdf_nil) )
& ( ip(X24)
| ~ iext(uri_owl_propertyChainAxiom,X18,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,X21)
| ~ iext(uri_rdf_first,X21,X22)
| ~ iext(uri_rdf_rest,X21,X23)
| ~ iext(uri_rdf_first,X23,X24)
| ~ iext(uri_rdf_rest,X23,uri_rdf_nil) )
& ( ~ iext(X20,X25,X26)
| ~ iext(X22,X26,X27)
| ~ iext(X24,X27,X28)
| iext(X18,X25,X28)
| ~ iext(uri_owl_propertyChainAxiom,X18,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,X21)
| ~ iext(uri_rdf_first,X21,X22)
| ~ iext(uri_rdf_rest,X21,X23)
| ~ iext(uri_rdf_first,X23,X24)
| ~ iext(uri_rdf_rest,X23,uri_rdf_nil) )
& ( iext(X20,esk5_7(X18,X19,X20,X21,X22,X23,X24),esk6_7(X18,X19,X20,X21,X22,X23,X24))
| ~ ip(X18)
| ~ ip(X20)
| ~ ip(X22)
| ~ ip(X24)
| iext(uri_owl_propertyChainAxiom,X18,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,X21)
| ~ iext(uri_rdf_first,X21,X22)
| ~ iext(uri_rdf_rest,X21,X23)
| ~ iext(uri_rdf_first,X23,X24)
| ~ iext(uri_rdf_rest,X23,uri_rdf_nil) )
& ( iext(X22,esk6_7(X18,X19,X20,X21,X22,X23,X24),esk7_7(X18,X19,X20,X21,X22,X23,X24))
| ~ ip(X18)
| ~ ip(X20)
| ~ ip(X22)
| ~ ip(X24)
| iext(uri_owl_propertyChainAxiom,X18,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,X21)
| ~ iext(uri_rdf_first,X21,X22)
| ~ iext(uri_rdf_rest,X21,X23)
| ~ iext(uri_rdf_first,X23,X24)
| ~ iext(uri_rdf_rest,X23,uri_rdf_nil) )
& ( iext(X24,esk7_7(X18,X19,X20,X21,X22,X23,X24),esk8_7(X18,X19,X20,X21,X22,X23,X24))
| ~ ip(X18)
| ~ ip(X20)
| ~ ip(X22)
| ~ ip(X24)
| iext(uri_owl_propertyChainAxiom,X18,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,X21)
| ~ iext(uri_rdf_first,X21,X22)
| ~ iext(uri_rdf_rest,X21,X23)
| ~ iext(uri_rdf_first,X23,X24)
| ~ iext(uri_rdf_rest,X23,uri_rdf_nil) )
& ( ~ iext(X18,esk5_7(X18,X19,X20,X21,X22,X23,X24),esk8_7(X18,X19,X20,X21,X22,X23,X24))
| ~ ip(X18)
| ~ ip(X20)
| ~ ip(X22)
| ~ ip(X24)
| iext(uri_owl_propertyChainAxiom,X18,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,X21)
| ~ iext(uri_rdf_first,X21,X22)
| ~ iext(uri_rdf_rest,X21,X23)
| ~ iext(uri_rdf_first,X23,X24)
| ~ iext(uri_rdf_rest,X23,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[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(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_013_Cliques])])]) ).
fof(c_0_11,plain,
! [X10,X11,X12,X13,X10,X11] :
( ( ip(X10)
| ~ iext(uri_rdfs_subPropertyOf,X10,X11) )
& ( ip(X11)
| ~ iext(uri_rdfs_subPropertyOf,X10,X11) )
& ( ~ iext(X10,X12,X13)
| iext(X11,X12,X13)
| ~ iext(uri_rdfs_subPropertyOf,X10,X11) )
& ( iext(X10,esk3_2(X10,X11),esk4_2(X10,X11))
| ~ ip(X10)
| ~ ip(X11)
| iext(uri_rdfs_subPropertyOf,X10,X11) )
& ( ~ iext(X11,esk3_2(X10,X11),esk4_2(X10,X11))
| ~ ip(X10)
| ~ ip(X11)
| iext(uri_rdfs_subPropertyOf,X10,X11) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_rdfsext_subpropertyof])])])])])])]) ).
cnf(c_0_12,plain,
( iext(X7,X8,X9)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X5,X3)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_owl_propertyChainAxiom,X7,X5)
| ~ iext(X2,X10,X9)
| ~ iext(X4,X11,X10)
| ~ iext(X6,X8,X11) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
iext(uri_rdf_rest,esk15_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_14,plain,
! [X6,X7,X6,X7] :
( ( ~ iext(uri_owl_sameAs,X6,X7)
| X6 = X7 )
& ( X6 != X7
| iext(uri_owl_sameAs,X6,X7) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_sameas])])])]) ).
cnf(c_0_15,plain,
( iext(X2,X3,X4)
| ~ iext(uri_rdfs_subPropertyOf,X1,X2)
| ~ iext(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( iext(X1,X2,X3)
| ~ iext(uri_rdf_first,esk15_0,X4)
| ~ iext(uri_rdf_rest,X5,esk15_0)
| ~ iext(uri_rdf_first,X6,X7)
| ~ iext(uri_rdf_first,X5,X8)
| ~ iext(uri_rdf_rest,X6,X5)
| ~ iext(uri_owl_propertyChainAxiom,X1,X6)
| ~ iext(X7,X2,X9)
| ~ iext(X8,X9,X10)
| ~ iext(X4,X10,X3) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
iext(uri_rdf_first,esk15_0,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,plain,
( X1 = X2
| ~ iext(uri_owl_sameAs,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( iext(uri_owl_sameAs,X1,X2)
| ~ iext(uri_ex_sameCliqueAs,X1,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_21,plain,
! [X6,X7,X8,X9,X9,X11] :
( ( iext(X7,X9,esk1_4(X6,X7,X8,X9))
| ~ icext(X6,X9)
| ~ iext(uri_owl_someValuesFrom,X6,X8)
| ~ iext(uri_owl_onProperty,X6,X7) )
& ( icext(X8,esk1_4(X6,X7,X8,X9))
| ~ icext(X6,X9)
| ~ iext(uri_owl_someValuesFrom,X6,X8)
| ~ iext(uri_owl_onProperty,X6,X7) )
& ( ~ iext(X7,X9,X11)
| ~ icext(X8,X11)
| icext(X6,X9)
| ~ iext(uri_owl_someValuesFrom,X6,X8)
| ~ iext(uri_owl_onProperty,X6,X7) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_restrict_somevaluesfrom])])])])])])]) ).
cnf(c_0_22,plain,
( iext(X1,X2,X3)
| ~ iext(uri_rdf_rest,X4,esk15_0)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_first,X4,X7)
| ~ iext(uri_rdf_rest,X5,X4)
| ~ iext(uri_owl_propertyChainAxiom,X1,X5)
| ~ iext(esk12_0,X8,X3)
| ~ iext(X6,X2,X9)
| ~ iext(X7,X9,X8) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
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,
( X1 = X2
| ~ iext(uri_ex_sameCliqueAs,X1,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
( iext(X2,X4,esk1_4(X1,X2,X3,X4))
| ~ iext(uri_owl_onProperty,X1,X2)
| ~ iext(uri_owl_someValuesFrom,X1,X3)
| ~ icext(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,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(X6,X2,X8)
| ~ iext(X4,X8,X7) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
iext(uri_rdf_first,esk14_0,uri_ex_sameCliqueAs),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_28,plain,
( esk1_4(X1,uri_ex_sameCliqueAs,X2,X3) = X3
| ~ icext(X1,X3)
| ~ iext(uri_owl_onProperty,X1,uri_ex_sameCliqueAs)
| ~ iext(uri_owl_someValuesFrom,X1,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_29,plain,
! [X8,X9,X10,X8,X9] :
( ( ic(X8)
| ~ iext(uri_rdfs_subClassOf,X8,X9) )
& ( ic(X9)
| ~ iext(uri_rdfs_subClassOf,X8,X9) )
& ( ~ icext(X8,X10)
| icext(X9,X10)
| ~ iext(uri_rdfs_subClassOf,X8,X9) )
& ( icext(X8,esk2_2(X8,X9))
| ~ ic(X8)
| ~ ic(X9)
| iext(uri_rdfs_subClassOf,X8,X9) )
& ( ~ icext(X9,esk2_2(X8,X9))
| ~ ic(X8)
| ~ ic(X9)
| iext(uri_rdfs_subClassOf,X8,X9) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_rdfsext_subclassof])])])])])])]) ).
cnf(c_0_30,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_26,c_0_27]) ).
cnf(c_0_31,plain,
iext(uri_rdf_first,esk13_0,uri_rdf_type),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_32,plain,
iext(uri_rdf_rest,esk13_0,esk14_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_33,plain,
! [X10,X11,X12,X13,X12,X13,X10,X11] :
( ( ip(X10)
| ~ iext(uri_owl_inverseOf,X10,X11) )
& ( ip(X11)
| ~ iext(uri_owl_inverseOf,X10,X11) )
& ( ~ iext(X10,X12,X13)
| iext(X11,X13,X12)
| ~ iext(uri_owl_inverseOf,X10,X11) )
& ( ~ iext(X11,X13,X12)
| iext(X10,X12,X13)
| ~ iext(uri_owl_inverseOf,X10,X11) )
& ( ~ iext(X10,esk9_2(X10,X11),esk10_2(X10,X11))
| ~ iext(X11,esk10_2(X10,X11),esk9_2(X10,X11))
| ~ ip(X10)
| ~ ip(X11)
| iext(uri_owl_inverseOf,X10,X11) )
& ( iext(X10,esk9_2(X10,X11),esk10_2(X10,X11))
| iext(X11,esk10_2(X10,X11),esk9_2(X10,X11))
| ~ ip(X10)
| ~ ip(X11)
| iext(uri_owl_inverseOf,X10,X11) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_inv])])])])])])]) ).
cnf(c_0_34,plain,
( iext(uri_ex_sameCliqueAs,X1,X1)
| ~ icext(X2,X1)
| ~ iext(uri_owl_onProperty,X2,uri_ex_sameCliqueAs)
| ~ iext(uri_owl_someValuesFrom,X2,X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_28]) ).
cnf(c_0_35,plain,
iext(uri_owl_someValuesFrom,esk11_0,uri_ex_Clique),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_36,plain,
iext(uri_owl_onProperty,esk11_0,uri_ex_sameCliqueAs),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_37,plain,
( icext(X2,X3)
| ~ iext(uri_rdfs_subClassOf,X1,X2)
| ~ icext(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,plain,
iext(uri_rdfs_subClassOf,uri_ex_Clique,esk11_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_39,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_40,plain,
iext(uri_owl_propertyChainAxiom,uri_foaf_knows,esk13_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_41,plain,
( iext(X1,X3,X4)
| ~ iext(uri_owl_inverseOf,X1,X2)
| ~ iext(X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_42,plain,
iext(uri_owl_inverseOf,esk12_0,uri_rdf_type),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_43,plain,
( iext(uri_ex_sameCliqueAs,X1,X1)
| ~ icext(esk11_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_44,plain,
( icext(esk11_0,X1)
| ~ icext(uri_ex_Clique,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_45,plain,
! [X3,X4,X3,X4] :
( ( ~ iext(uri_rdf_type,X3,X4)
| icext(X4,X3) )
& ( ~ icext(X4,X3)
| iext(uri_rdf_type,X3,X4) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])])])]) ).
cnf(c_0_46,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_39,c_0_40]) ).
cnf(c_0_47,plain,
( iext(esk12_0,X1,X2)
| ~ iext(uri_rdf_type,X2,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,plain,
( iext(uri_ex_sameCliqueAs,X1,X1)
| ~ icext(uri_ex_Clique,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_type,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_50,negated_conjecture,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_013_Cliques]) ).
cnf(c_0_51,plain,
( iext(uri_foaf_knows,X1,X2)
| ~ iext(uri_ex_sameCliqueAs,X3,X4)
| ~ iext(uri_rdf_type,X1,X3)
| ~ iext(uri_rdf_type,X2,X4) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,plain,
( iext(uri_ex_sameCliqueAs,X1,X1)
| ~ iext(uri_rdf_type,X1,uri_ex_Clique) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
fof(c_0_53,negated_conjecture,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(fof_simplification,[status(thm)],[c_0_50]) ).
cnf(c_0_54,plain,
( iext(uri_foaf_knows,X1,X2)
| ~ iext(uri_rdf_type,X3,uri_ex_Clique)
| ~ iext(uri_rdf_type,X1,X3)
| ~ iext(uri_rdf_type,X2,X3) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,plain,
iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_56,negated_conjecture,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_57,plain,
( iext(uri_foaf_knows,X1,X2)
| ~ iext(uri_rdf_type,X1,uri_ex_JoesGang)
| ~ iext(uri_rdf_type,X2,uri_ex_JoesGang) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_58,plain,
iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_59,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_60,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_59])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SWB013+2 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.07 % Command : run_ET %s %d
% 0.06/0.25 % Computer : n021.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 600
% 0.06/0.25 % DateTime : Wed Jun 1 11:20:45 EDT 2022
% 0.06/0.25 % CPUTime :
% 0.11/1.29 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.11/1.29 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.11/1.29 # Preprocessing time : 0.008 s
% 0.11/1.29
% 0.11/1.29 # Failure: Out of unprocessed clauses!
% 0.11/1.29 # OLD status GaveUp
% 0.11/1.29 # Parsed axioms : 9
% 0.11/1.29 # Removed by relevancy pruning/SinE : 8
% 0.11/1.29 # Initial clauses : 1
% 0.11/1.29 # Removed in clause preprocessing : 0
% 0.11/1.29 # Initial clauses in saturation : 1
% 0.11/1.29 # Processed clauses : 1
% 0.11/1.29 # ...of these trivial : 0
% 0.11/1.29 # ...subsumed : 0
% 0.11/1.29 # ...remaining for further processing : 1
% 0.11/1.29 # Other redundant clauses eliminated : 0
% 0.11/1.29 # Clauses deleted for lack of memory : 0
% 0.11/1.29 # Backward-subsumed : 0
% 0.11/1.29 # Backward-rewritten : 0
% 0.11/1.29 # Generated clauses : 0
% 0.11/1.29 # ...of the previous two non-trivial : 0
% 0.11/1.29 # Contextual simplify-reflections : 0
% 0.11/1.29 # Paramodulations : 0
% 0.11/1.29 # Factorizations : 0
% 0.11/1.29 # Equation resolutions : 0
% 0.11/1.29 # Current number of processed clauses : 1
% 0.11/1.29 # Positive orientable unit clauses : 0
% 0.11/1.29 # Positive unorientable unit clauses: 0
% 0.11/1.29 # Negative unit clauses : 1
% 0.11/1.29 # Non-unit-clauses : 0
% 0.11/1.29 # Current number of unprocessed clauses: 0
% 0.11/1.29 # ...number of literals in the above : 0
% 0.11/1.29 # Current number of archived formulas : 0
% 0.11/1.29 # Current number of archived clauses : 0
% 0.11/1.29 # Clause-clause subsumption calls (NU) : 0
% 0.11/1.29 # Rec. Clause-clause subsumption calls : 0
% 0.11/1.29 # Non-unit clause-clause subsumptions : 0
% 0.11/1.29 # Unit Clause-clause subsumption calls : 0
% 0.11/1.29 # Rewrite failures with RHS unbound : 0
% 0.11/1.29 # BW rewrite match attempts : 0
% 0.11/1.29 # BW rewrite match successes : 0
% 0.11/1.29 # Condensation attempts : 0
% 0.11/1.29 # Condensation successes : 0
% 0.11/1.29 # Termbank termtop insertions : 284
% 0.11/1.29
% 0.11/1.29 # -------------------------------------------------
% 0.11/1.29 # User time : 0.005 s
% 0.11/1.29 # System time : 0.003 s
% 0.11/1.29 # Total time : 0.008 s
% 0.11/1.29 # Maximum resident set size: 2680 pages
% 0.11/1.29 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.11/1.29 # Preprocessing time : 0.009 s
% 0.11/1.29
% 0.11/1.29 # Proof found!
% 0.11/1.29 # SZS status Theorem
% 0.11/1.29 # SZS output start CNFRefutation
% See solution above
% 0.11/1.29 # Proof object total steps : 61
% 0.11/1.29 # Proof object clause steps : 42
% 0.11/1.29 # Proof object formula steps : 19
% 0.11/1.29 # Proof object conjectures : 5
% 0.11/1.29 # Proof object clause conjectures : 2
% 0.11/1.29 # Proof object formula conjectures : 3
% 0.11/1.29 # Proof object initial clauses used : 23
% 0.11/1.29 # Proof object initial formulas used : 9
% 0.11/1.29 # Proof object generating inferences : 19
% 0.11/1.29 # Proof object simplifying inferences : 7
% 0.11/1.29 # Training examples: 0 positive, 0 negative
% 0.11/1.29 # Parsed axioms : 9
% 0.11/1.29 # Removed by relevancy pruning/SinE : 0
% 0.11/1.29 # Initial clauses : 52
% 0.11/1.29 # Removed in clause preprocessing : 0
% 0.11/1.29 # Initial clauses in saturation : 52
% 0.11/1.29 # Processed clauses : 386
% 0.11/1.29 # ...of these trivial : 1
% 0.11/1.29 # ...subsumed : 82
% 0.11/1.29 # ...remaining for further processing : 303
% 0.11/1.29 # Other redundant clauses eliminated : 1
% 0.11/1.29 # Clauses deleted for lack of memory : 0
% 0.11/1.29 # Backward-subsumed : 31
% 0.11/1.29 # Backward-rewritten : 11
% 0.11/1.29 # Generated clauses : 825
% 0.11/1.29 # ...of the previous two non-trivial : 749
% 0.11/1.29 # Contextual simplify-reflections : 43
% 0.11/1.29 # Paramodulations : 824
% 0.11/1.29 # Factorizations : 0
% 0.11/1.29 # Equation resolutions : 1
% 0.11/1.29 # Current number of processed clauses : 260
% 0.11/1.29 # Positive orientable unit clauses : 33
% 0.11/1.29 # Positive unorientable unit clauses: 0
% 0.11/1.29 # Negative unit clauses : 1
% 0.11/1.29 # Non-unit-clauses : 226
% 0.11/1.29 # Current number of unprocessed clauses: 388
% 0.11/1.29 # ...number of literals in the above : 3411
% 0.11/1.29 # Current number of archived formulas : 0
% 0.11/1.29 # Current number of archived clauses : 42
% 0.11/1.29 # Clause-clause subsumption calls (NU) : 33197
% 0.11/1.29 # Rec. Clause-clause subsumption calls : 7492
% 0.11/1.29 # Non-unit clause-clause subsumptions : 156
% 0.11/1.29 # Unit Clause-clause subsumption calls : 255
% 0.11/1.29 # Rewrite failures with RHS unbound : 0
% 0.11/1.29 # BW rewrite match attempts : 15
% 0.11/1.29 # BW rewrite match successes : 4
% 0.11/1.29 # Condensation attempts : 0
% 0.11/1.29 # Condensation successes : 0
% 0.11/1.29 # Termbank termtop insertions : 22615
% 0.11/1.29
% 0.11/1.29 # -------------------------------------------------
% 0.11/1.29 # User time : 0.036 s
% 0.11/1.29 # System time : 0.001 s
% 0.11/1.29 # Total time : 0.037 s
% 0.11/1.29 # Maximum resident set size: 4304 pages
%------------------------------------------------------------------------------