TSTP Solution File: SWB013+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWB013+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 : n012.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 20:01:54 EDT 2023
% Result : Theorem 1.38s 1.57s
% Output : CNFRefutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 49
% Syntax : Number of formulae : 100 ( 19 unt; 40 typ; 0 def)
% Number of atoms : 362 ( 6 equ)
% Maximal formula atoms : 91 ( 6 avg)
% Number of connectives : 506 ( 204 ~; 209 |; 80 &)
% ( 8 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 49 ( 14 >; 35 *; 0 +; 0 <<)
% 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 : 174 ( 1 sgn; 70 !; 6 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
uri_rdf_type: $i ).
tff(decl_23,type,
iext: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
icext: ( $i * $i ) > $o ).
tff(decl_25,type,
uri_owl_someValuesFrom: $i ).
tff(decl_26,type,
uri_owl_onProperty: $i ).
tff(decl_27,type,
uri_rdfs_subClassOf: $i ).
tff(decl_28,type,
ic: $i > $o ).
tff(decl_29,type,
uri_rdfs_subPropertyOf: $i ).
tff(decl_30,type,
ip: $i > $o ).
tff(decl_31,type,
uri_owl_sameAs: $i ).
tff(decl_32,type,
uri_rdf_first: $i ).
tff(decl_33,type,
uri_rdf_rest: $i ).
tff(decl_34,type,
uri_rdf_nil: $i ).
tff(decl_35,type,
uri_owl_propertyChainAxiom: $i ).
tff(decl_36,type,
uri_owl_inverseOf: $i ).
tff(decl_37,type,
uri_foaf_knows: $i ).
tff(decl_38,type,
uri_ex_alice: $i ).
tff(decl_39,type,
uri_ex_bob: $i ).
tff(decl_40,type,
uri_ex_Clique: $i ).
tff(decl_41,type,
uri_owl_Class: $i ).
tff(decl_42,type,
uri_ex_sameCliqueAs: $i ).
tff(decl_43,type,
uri_rdfs_range: $i ).
tff(decl_44,type,
uri_owl_Restriction: $i ).
tff(decl_45,type,
uri_owl_ObjectProperty: $i ).
tff(decl_46,type,
uri_ex_JoesGang: $i ).
tff(decl_47,type,
esk1_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_48,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_49,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_50,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_51,type,
esk5_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_52,type,
esk6_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_53,type,
esk7_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_54,type,
esk8_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_55,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_56,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_57,type,
esk11_0: $i ).
tff(decl_58,type,
esk12_0: $i ).
tff(decl_59,type,
esk13_0: $i ).
tff(decl_60,type,
esk14_0: $i ).
tff(decl_61,type,
esk15_0: $i ).
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/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/sandbox/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/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
fof(owl_eqdis_sameas,axiom,
! [X1,X5] :
( iext(uri_owl_sameAs,X1,X5)
<=> X1 = X5 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',owl_inv) ).
fof(rdfs_cext_def,axiom,
! [X1,X2] :
( iext(uri_rdf_type,X1,X2)
<=> icext(X2,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.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])]) ).
fof(c_0_11,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_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,
! [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_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,
! [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_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]) ).
fof(c_0_29,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])])])])])]) ).
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,
! [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_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(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_rdfs_subClassOf,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(X4,X3,X2)
| ~ iext(X1,X2,X3)
| ~ iext(uri_owl_inverseOf,X4,X1) ),
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,
! [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_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(X2,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_50,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_51,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_52,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_53,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_50,c_0_51]) ).
cnf(c_0_54,plain,
iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_55,negated_conjecture,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_56,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_53,c_0_54]) ).
cnf(c_0_57,plain,
iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_58,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_59,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_58])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWB013+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
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 07:16:40 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 1.38/1.57 % Version : CSE_E---1.5
% 1.38/1.57 % Problem : theBenchmark.p
% 1.38/1.57 % Proof found
% 1.38/1.57 % SZS status Theorem for theBenchmark.p
% 1.38/1.57 % SZS output start Proof
% See solution above
% 1.38/1.58 % Total time : 0.986000 s
% 1.38/1.58 % SZS output end Proof
% 1.38/1.58 % Total time : 0.990000 s
%------------------------------------------------------------------------------