%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB024+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 : n006.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 05:17:08 PM UTC 2026
% Result : Theorem 1.27s 1.73s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 9 unt; 0 def)
% Number of atoms : 126 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 152 ( 59 ~; 55 |; 31 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-3 aty)
% Number of variables : 61 ( 0 sgn 30 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_char_transitive,axiom,
! [X4] :
( icext(uri_owl_TransitiveProperty,X4)
<=> ( ip(X4)
& ! [X1,X5,X3] :
( ( iext(X4,X1,X5)
& iext(X4,X5,X3) )
=> iext(X4,X1,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_transitive) ).
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_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties,axiom,
? [X9] :
( iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
& iext(uri_rdfs_subClassOf,uri_ex_Person,X9)
& iext(uri_rdf_type,X9,uri_owl_Restriction)
& iext(uri_owl_onProperty,X9,uri_ex_hasAncestor)
& iext(uri_owl_minCardinality,X9,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
& iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).
fof(testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties,conjecture,
? [X8] :
( iext(uri_ex_hasAncestor,uri_ex_bob,X8)
& iext(uri_ex_hasAncestor,uri_ex_alice,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).
fof(owl_restrict_mincard_001,axiom,
! [X3,X4] :
( ( iext(uri_owl_minCardinality,X3,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,X3,X4) )
=> ! [X1] :
( icext(X3,X1)
<=> ? [X5] : iext(X4,X1,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_mincard_001) ).
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(c_0_6,plain,
! [X39,X40,X41,X42,X43] :
( ( ip(X39)
| ~ icext(uri_owl_TransitiveProperty,X39) )
& ( ~ iext(X39,X40,X41)
| ~ iext(X39,X41,X42)
| iext(X39,X40,X42)
| ~ icext(uri_owl_TransitiveProperty,X39) )
& ( iext(X43,esk3_1(X43),esk4_1(X43))
| ~ ip(X43)
| icext(uri_owl_TransitiveProperty,X43) )
& ( iext(X43,esk4_1(X43),esk5_1(X43))
| ~ ip(X43)
| icext(uri_owl_TransitiveProperty,X43) )
& ( ~ iext(X43,esk3_1(X43),esk5_1(X43))
| ~ ip(X43)
| icext(uri_owl_TransitiveProperty,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_char_transitive])])])])])]) ).
fof(c_0_7,plain,
! [X25,X26] :
( ( ~ iext(uri_rdf_type,X25,X26)
| icext(X26,X25) )
& ( ~ icext(X26,X25)
| iext(uri_rdf_type,X25,X26) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
cnf(c_0_8,plain,
( iext(X1,X2,X4)
| ~ iext(X1,X2,X3)
| ~ iext(X1,X3,X4)
| ~ icext(uri_owl_TransitiveProperty,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( icext(X2,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
( iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
& iext(uri_rdfs_subClassOf,uri_ex_Person,esk6_0)
& iext(uri_rdf_type,esk6_0,uri_owl_Restriction)
& iext(uri_owl_onProperty,esk6_0,uri_ex_hasAncestor)
& iext(uri_owl_minCardinality,esk6_0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
& iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties])]) ).
fof(c_0_11,negated_conjecture,
~ ? [X8] :
( iext(uri_ex_hasAncestor,uri_ex_bob,X8)
& iext(uri_ex_hasAncestor,uri_ex_alice,X8) ),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).
cnf(c_0_12,plain,
( iext(X1,X2,X3)
| ~ iext(uri_rdf_type,X1,uri_owl_TransitiveProperty)
| ~ iext(X1,X4,X3)
| ~ iext(X1,X2,X4) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_14,plain,
! [X27,X28,X29,X31,X32] :
( ( ~ icext(X27,X29)
| iext(X28,X29,esk1_3(X27,X28,X29))
| ~ iext(uri_owl_minCardinality,X27,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X27,X28) )
& ( ~ iext(X28,X31,X32)
| icext(X27,X31)
| ~ iext(uri_owl_minCardinality,X27,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X27,X28) ) ),
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_mincard_001])])])])])]) ).
fof(c_0_15,negated_conjecture,
! [X47] :
( ~ iext(uri_ex_hasAncestor,uri_ex_bob,X47)
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,X47) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).
cnf(c_0_16,plain,
( iext(uri_ex_hasAncestor,X1,X2)
| ~ iext(uri_ex_hasAncestor,X3,X2)
| ~ iext(uri_ex_hasAncestor,X1,X3) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
( iext(X3,X2,esk1_3(X1,X3,X2))
| ~ icext(X1,X2)
| ~ iext(uri_owl_minCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( ~ iext(uri_ex_hasAncestor,uri_ex_bob,X1)
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,plain,
( iext(uri_ex_hasAncestor,X1,esk1_3(X2,uri_ex_hasAncestor,X3))
| ~ icext(X2,X3)
| ~ iext(uri_owl_minCardinality,X2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X2,uri_ex_hasAncestor)
| ~ iext(uri_ex_hasAncestor,X1,X3) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( ~ icext(X1,X2)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,esk1_3(X1,uri_ex_hasAncestor,X2))
| ~ iext(uri_owl_minCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X1,uri_ex_hasAncestor)
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,plain,
iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_22,plain,
! [X33,X34,X35,X36,X37] :
( ( ic(X33)
| ~ iext(uri_rdfs_subClassOf,X33,X34) )
& ( ic(X34)
| ~ iext(uri_rdfs_subClassOf,X33,X34) )
& ( ~ icext(X33,X35)
| icext(X34,X35)
| ~ iext(uri_rdfs_subClassOf,X33,X34) )
& ( icext(X36,esk2_2(X36,X37))
| ~ ic(X36)
| ~ ic(X37)
| iext(uri_rdfs_subClassOf,X36,X37) )
& ( ~ icext(X37,esk2_2(X36,X37))
| ~ ic(X36)
| ~ ic(X37)
| iext(uri_rdfs_subClassOf,X36,X37) ) ),
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_23,negated_conjecture,
( ~ icext(X1,uri_ex_bob)
| ~ iext(uri_owl_minCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X1,uri_ex_hasAncestor) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_17]),c_0_21])]) ).
cnf(c_0_24,plain,
iext(uri_owl_minCardinality,esk6_0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_25,plain,
iext(uri_owl_onProperty,esk6_0,uri_ex_hasAncestor),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,plain,
( icext(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_rdfs_subClassOf,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
iext(uri_rdfs_subClassOf,uri_ex_Person,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_28,negated_conjecture,
~ icext(esk6_0,uri_ex_bob),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_29,plain,
( icext(esk6_0,X1)
| ~ icext(uri_ex_Person,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
~ icext(uri_ex_Person,uri_ex_bob),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_31,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_9]),c_0_31])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB024+2 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n006.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue May 5 04:09:01 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.27/1.73 % Version : CSE_E---1.7
% 1.27/1.73 % Problem : theBenchmark.p
% 1.27/1.73 % SZS status Theorem for theBenchmark.p
% 1.27/1.73 % SZS output start CNFRefutation
% See solution above
% 1.27/1.73 % Total time : 1.373s
%------------------------------------------------------------------------------