%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB013+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 : n017.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 05:16:47 PM UTC 2026
% Result : Theorem 1.33s 1.72s
% Output : CNFRefutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 62 ( 19 unt; 0 def)
% Number of atoms : 371 ( 6 equ)
% Maximal formula atoms : 91 ( 5 avg)
% Number of connectives : 520 ( 211 ~; 216 |; 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 : 182 ( 2 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/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
fof(owl_eqdis_sameas,axiom,
! [X1,X5] :
( iext(uri_owl_sameAs,X1,X5)
<=> X1 = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',owl_inv) ).
fof(rdfs_cext_def,axiom,
! [X1,X2] :
( iext(uri_rdf_type,X1,X2)
<=> icext(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(testcase_conclusion_fullish_013_Cliques,conjecture,
iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_013_Cliques) ).
fof(c_0_9,plain,
! [X84,X85,X86,X87,X88,X89,X90,X91,X92,X93,X94] :
( ( ip(X84)
| ~ iext(uri_owl_propertyChainAxiom,X84,X85)
| ~ iext(uri_rdf_first,X85,X86)
| ~ iext(uri_rdf_rest,X85,X87)
| ~ iext(uri_rdf_first,X87,X88)
| ~ iext(uri_rdf_rest,X87,X89)
| ~ iext(uri_rdf_first,X89,X90)
| ~ iext(uri_rdf_rest,X89,uri_rdf_nil) )
& ( ip(X86)
| ~ iext(uri_owl_propertyChainAxiom,X84,X85)
| ~ iext(uri_rdf_first,X85,X86)
| ~ iext(uri_rdf_rest,X85,X87)
| ~ iext(uri_rdf_first,X87,X88)
| ~ iext(uri_rdf_rest,X87,X89)
| ~ iext(uri_rdf_first,X89,X90)
| ~ iext(uri_rdf_rest,X89,uri_rdf_nil) )
& ( ip(X88)
| ~ iext(uri_owl_propertyChainAxiom,X84,X85)
| ~ iext(uri_rdf_first,X85,X86)
| ~ iext(uri_rdf_rest,X85,X87)
| ~ iext(uri_rdf_first,X87,X88)
| ~ iext(uri_rdf_rest,X87,X89)
| ~ iext(uri_rdf_first,X89,X90)
| ~ iext(uri_rdf_rest,X89,uri_rdf_nil) )
& ( ip(X90)
| ~ iext(uri_owl_propertyChainAxiom,X84,X85)
| ~ iext(uri_rdf_first,X85,X86)
| ~ iext(uri_rdf_rest,X85,X87)
| ~ iext(uri_rdf_first,X87,X88)
| ~ iext(uri_rdf_rest,X87,X89)
| ~ iext(uri_rdf_first,X89,X90)
| ~ iext(uri_rdf_rest,X89,uri_rdf_nil) )
& ( ~ iext(X86,X91,X92)
| ~ iext(X88,X92,X93)
| ~ iext(X90,X93,X94)
| iext(X84,X91,X94)
| ~ iext(uri_owl_propertyChainAxiom,X84,X85)
| ~ iext(uri_rdf_first,X85,X86)
| ~ iext(uri_rdf_rest,X85,X87)
| ~ iext(uri_rdf_first,X87,X88)
| ~ iext(uri_rdf_rest,X87,X89)
| ~ iext(uri_rdf_first,X89,X90)
| ~ iext(uri_rdf_rest,X89,uri_rdf_nil) )
& ( iext(X86,esk5_7(X84,X85,X86,X87,X88,X89,X90),esk6_7(X84,X85,X86,X87,X88,X89,X90))
| ~ ip(X84)
| ~ ip(X86)
| ~ ip(X88)
| ~ ip(X90)
| iext(uri_owl_propertyChainAxiom,X84,X85)
| ~ iext(uri_rdf_first,X85,X86)
| ~ iext(uri_rdf_rest,X85,X87)
| ~ iext(uri_rdf_first,X87,X88)
| ~ iext(uri_rdf_rest,X87,X89)
| ~ iext(uri_rdf_first,X89,X90)
| ~ iext(uri_rdf_rest,X89,uri_rdf_nil) )
& ( iext(X88,esk6_7(X84,X85,X86,X87,X88,X89,X90),esk7_7(X84,X85,X86,X87,X88,X89,X90))
| ~ ip(X84)
| ~ ip(X86)
| ~ ip(X88)
| ~ ip(X90)
| iext(uri_owl_propertyChainAxiom,X84,X85)
| ~ iext(uri_rdf_first,X85,X86)
| ~ iext(uri_rdf_rest,X85,X87)
| ~ iext(uri_rdf_first,X87,X88)
| ~ iext(uri_rdf_rest,X87,X89)
| ~ iext(uri_rdf_first,X89,X90)
| ~ iext(uri_rdf_rest,X89,uri_rdf_nil) )
& ( iext(X90,esk7_7(X84,X85,X86,X87,X88,X89,X90),esk8_7(X84,X85,X86,X87,X88,X89,X90))
| ~ ip(X84)
| ~ ip(X86)
| ~ ip(X88)
| ~ ip(X90)
| iext(uri_owl_propertyChainAxiom,X84,X85)
| ~ iext(uri_rdf_first,X85,X86)
| ~ iext(uri_rdf_rest,X85,X87)
| ~ iext(uri_rdf_first,X87,X88)
| ~ iext(uri_rdf_rest,X87,X89)
| ~ iext(uri_rdf_first,X89,X90)
| ~ iext(uri_rdf_rest,X89,uri_rdf_nil) )
& ( ~ iext(X84,esk5_7(X84,X85,X86,X87,X88,X89,X90),esk8_7(X84,X85,X86,X87,X88,X89,X90))
| ~ ip(X84)
| ~ ip(X86)
| ~ ip(X88)
| ~ ip(X90)
| iext(uri_owl_propertyChainAxiom,X84,X85)
| ~ iext(uri_rdf_first,X85,X86)
| ~ iext(uri_rdf_rest,X85,X87)
| ~ iext(uri_rdf_first,X87,X88)
| ~ iext(uri_rdf_rest,X87,X89)
| ~ iext(uri_rdf_first,X89,X90)
| ~ iext(uri_rdf_rest,X89,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])]) ).
fof(c_0_11,plain,
! [X74,X75,X76,X77,X78,X79] :
( ( ip(X74)
| ~ iext(uri_rdfs_subPropertyOf,X74,X75) )
& ( ip(X75)
| ~ iext(uri_rdfs_subPropertyOf,X74,X75) )
& ( ~ iext(X74,X76,X77)
| iext(X75,X76,X77)
| ~ iext(uri_rdfs_subPropertyOf,X74,X75) )
& ( iext(X78,esk3_2(X78,X79),esk4_2(X78,X79))
| ~ ip(X78)
| ~ ip(X79)
| iext(uri_rdfs_subPropertyOf,X78,X79) )
& ( ~ iext(X79,esk3_2(X78,X79),esk4_2(X78,X79))
| ~ ip(X78)
| ~ ip(X79)
| iext(uri_rdfs_subPropertyOf,X78,X79) ) ),
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_12,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_13,plain,
iext(uri_rdf_rest,esk15_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_14,plain,
! [X82,X83] :
( ( ~ iext(uri_owl_sameAs,X82,X83)
| X82 = X83 )
& ( X82 != X83
| iext(uri_owl_sameAs,X82,X83) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_sameas])]) ).
cnf(c_0_15,plain,
( iext(X4,X2,X3)
| ~ iext(X1,X2,X3)
| ~ iext(uri_rdfs_subPropertyOf,X1,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,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_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,
! [X61,X62,X63,X64,X66,X67] :
( ( iext(X62,X64,esk1_4(X61,X62,X63,X64))
| ~ icext(X61,X64)
| ~ iext(uri_owl_someValuesFrom,X61,X63)
| ~ iext(uri_owl_onProperty,X61,X62) )
& ( icext(X63,esk1_4(X61,X62,X63,X64))
| ~ icext(X61,X64)
| ~ iext(uri_owl_someValuesFrom,X61,X63)
| ~ iext(uri_owl_onProperty,X61,X62) )
& ( ~ iext(X62,X66,X67)
| ~ icext(X63,X67)
| icext(X61,X66)
| ~ iext(uri_owl_someValuesFrom,X61,X63)
| ~ iext(uri_owl_onProperty,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_restrict_somevaluesfrom])])])])])]) ).
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_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(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_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(X4,X8,X7)
| ~ iext(X6,X2,X8) ),
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]) ).
cnf(c_0_29,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_30,plain,
iext(uri_rdf_rest,esk13_0,esk14_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_31,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_32,plain,
iext(uri_owl_onProperty,esk11_0,uri_ex_sameCliqueAs),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_33,plain,
! [X68,X69,X70,X71,X72] :
( ( ic(X68)
| ~ iext(uri_rdfs_subClassOf,X68,X69) )
& ( ic(X69)
| ~ iext(uri_rdfs_subClassOf,X68,X69) )
& ( ~ icext(X68,X70)
| icext(X69,X70)
| ~ iext(uri_rdfs_subClassOf,X68,X69) )
& ( icext(X71,esk2_2(X71,X72))
| ~ ic(X71)
| ~ ic(X72)
| iext(uri_rdfs_subClassOf,X71,X72) )
& ( ~ icext(X72,esk2_2(X71,X72))
| ~ ic(X71)
| ~ ic(X72)
| iext(uri_rdfs_subClassOf,X71,X72) ) ),
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,
( 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_29,c_0_30]) ).
cnf(c_0_35,plain,
iext(uri_rdf_first,esk13_0,uri_rdf_type),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_36,plain,
! [X99,X100,X101,X102,X103,X104,X105,X106] :
( ( ip(X99)
| ~ iext(uri_owl_inverseOf,X99,X100) )
& ( ip(X100)
| ~ iext(uri_owl_inverseOf,X99,X100) )
& ( ~ iext(X99,X101,X102)
| iext(X100,X102,X101)
| ~ iext(uri_owl_inverseOf,X99,X100) )
& ( ~ iext(X100,X104,X103)
| iext(X99,X103,X104)
| ~ iext(uri_owl_inverseOf,X99,X100) )
& ( ~ iext(X105,esk9_2(X105,X106),esk10_2(X105,X106))
| ~ iext(X106,esk10_2(X105,X106),esk9_2(X105,X106))
| ~ ip(X105)
| ~ ip(X106)
| iext(uri_owl_inverseOf,X105,X106) )
& ( iext(X105,esk9_2(X105,X106),esk10_2(X105,X106))
| iext(X106,esk10_2(X105,X106),esk9_2(X105,X106))
| ~ ip(X105)
| ~ ip(X106)
| iext(uri_owl_inverseOf,X105,X106) ) ),
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_37,plain,
( iext(uri_ex_sameCliqueAs,X1,X1)
| ~ icext(esk11_0,X1)
| ~ iext(uri_owl_someValuesFrom,esk11_0,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,plain,
iext(uri_owl_someValuesFrom,esk11_0,uri_ex_Clique),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_39,plain,
( icext(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_rdfs_subClassOf,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,plain,
iext(uri_rdfs_subClassOf,uri_ex_Clique,esk11_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_41,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_34,c_0_35]) ).
cnf(c_0_42,plain,
iext(uri_owl_propertyChainAxiom,uri_foaf_knows,esk13_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_43,plain,
( iext(X4,X3,X2)
| ~ iext(X1,X2,X3)
| ~ iext(uri_owl_inverseOf,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,plain,
iext(uri_owl_inverseOf,esk12_0,uri_rdf_type),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_45,plain,
( iext(uri_ex_sameCliqueAs,X1,X1)
| ~ icext(esk11_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_46,plain,
( icext(esk11_0,X1)
| ~ icext(uri_ex_Clique,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_47,plain,
! [X59,X60] :
( ( ~ iext(uri_rdf_type,X59,X60)
| icext(X60,X59) )
& ( ~ icext(X60,X59)
| iext(uri_rdf_type,X59,X60) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
cnf(c_0_48,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_41,c_0_42]) ).
cnf(c_0_49,plain,
( iext(esk12_0,X1,X2)
| ~ iext(uri_rdf_type,X2,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_50,plain,
( iext(uri_ex_sameCliqueAs,X1,X1)
| ~ icext(uri_ex_Clique,X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,plain,
( icext(X2,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_52,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_48,c_0_49]) ).
cnf(c_0_53,plain,
( iext(uri_ex_sameCliqueAs,X1,X1)
| ~ iext(uri_rdf_type,X1,uri_ex_Clique) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_54,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_55,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_52,c_0_53]) ).
cnf(c_0_56,plain,
iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_57,negated_conjecture,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_58,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_55,c_0_56]) ).
cnf(c_0_59,plain,
iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_60,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_61,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_60])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWB013+2 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n017.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 04:06:13 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.33/1.72 % Version : CSE_E---1.7
% 1.33/1.72 % Problem : theBenchmark.p
% 1.33/1.72 % SZS status Theorem for theBenchmark.p
% 1.33/1.72 % SZS output start CNFRefutation
% See solution above
% 1.33/1.72 % Total time : 1.369s
%------------------------------------------------------------------------------