TSTP Solution File: SWB024+2 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWB024+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.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 19:38:16 EDT 2023
% Result : Theorem 408.17s 136.57s
% Output : CNFRefutation 408.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 9 unt; 0 def)
% Number of atoms : 132 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 157 ( 61 ~; 58 |; 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 : 65 ( 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/sandbox/tmp/tmp.KMd6zIJOPU/E---3.1_29895.p',owl_char_transitive) ).
fof(rdfs_cext_def,axiom,
! [X1,X2] :
( iext(uri_rdf_type,X1,X2)
<=> icext(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.KMd6zIJOPU/E---3.1_29895.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/sandbox/tmp/tmp.KMd6zIJOPU/E---3.1_29895.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/sandbox/tmp/tmp.KMd6zIJOPU/E---3.1_29895.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/sandbox/tmp/tmp.KMd6zIJOPU/E---3.1_29895.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/sandbox/tmp/tmp.KMd6zIJOPU/E---3.1_29895.p',owl_rdfsext_subclassof) ).
fof(c_0_6,plain,
! [X26,X27,X28,X29,X30] :
( ( ip(X26)
| ~ icext(uri_owl_TransitiveProperty,X26) )
& ( ~ iext(X26,X27,X28)
| ~ iext(X26,X28,X29)
| iext(X26,X27,X29)
| ~ icext(uri_owl_TransitiveProperty,X26) )
& ( iext(X30,esk4_1(X30),esk5_1(X30))
| ~ ip(X30)
| icext(uri_owl_TransitiveProperty,X30) )
& ( iext(X30,esk5_1(X30),esk6_1(X30))
| ~ ip(X30)
| icext(uri_owl_TransitiveProperty,X30) )
& ( ~ iext(X30,esk4_1(X30),esk6_1(X30))
| ~ ip(X30)
| icext(uri_owl_TransitiveProperty,X30) ) ),
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,
! [X11,X12] :
( ( ~ iext(uri_rdf_type,X11,X12)
| icext(X12,X11) )
& ( ~ icext(X12,X11)
| iext(uri_rdf_type,X11,X12) ) ),
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,esk2_0)
& iext(uri_rdf_type,esk2_0,uri_owl_Restriction)
& iext(uri_owl_onProperty,esk2_0,uri_ex_hasAncestor)
& iext(uri_owl_minCardinality,esk2_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,
! [X13,X14,X15,X17,X18] :
( ( ~ icext(X13,X15)
| iext(X14,X15,esk1_3(X13,X14,X15))
| ~ iext(uri_owl_minCardinality,X13,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X13,X14) )
& ( ~ iext(X14,X17,X18)
| icext(X13,X17)
| ~ iext(uri_owl_minCardinality,X13,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X13,X14) ) ),
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,plain,
! [X20,X21,X22,X23,X24] :
( ( ic(X20)
| ~ iext(uri_rdfs_subClassOf,X20,X21) )
& ( ic(X21)
| ~ iext(uri_rdfs_subClassOf,X20,X21) )
& ( ~ icext(X20,X22)
| icext(X21,X22)
| ~ iext(uri_rdfs_subClassOf,X20,X21) )
& ( icext(X23,esk3_2(X23,X24))
| ~ ic(X23)
| ~ ic(X24)
| iext(uri_rdfs_subClassOf,X23,X24) )
& ( ~ icext(X24,esk3_2(X23,X24))
| ~ ic(X23)
| ~ ic(X24)
| iext(uri_rdfs_subClassOf,X23,X24) ) ),
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_16,negated_conjecture,
! [X10] :
( ~ iext(uri_ex_hasAncestor,uri_ex_bob,X10)
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,X10) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).
cnf(c_0_17,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_18,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_19,plain,
( icext(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_rdfs_subClassOf,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
iext(uri_rdfs_subClassOf,uri_ex_Person,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,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_16]) ).
cnf(c_0_22,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_17,c_0_18]) ).
cnf(c_0_23,plain,
( icext(esk2_0,X1)
| ~ icext(uri_ex_Person,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,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_21,c_0_22]) ).
cnf(c_0_25,plain,
iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,plain,
( iext(uri_rdf_type,X2,X1)
| ~ icext(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27,plain,
( icext(esk2_0,X1)
| ~ iext(uri_rdf_type,X1,uri_ex_Person) ),
inference(spm,[status(thm)],[c_0_23,c_0_9]) ).
cnf(c_0_28,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_24,c_0_18]),c_0_25])]) ).
cnf(c_0_29,plain,
iext(uri_owl_minCardinality,esk2_0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_30,plain,
iext(uri_owl_onProperty,esk2_0,uri_ex_hasAncestor),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_31,plain,
( iext(uri_rdf_type,X1,esk2_0)
| ~ iext(uri_rdf_type,X1,uri_ex_Person) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_33,negated_conjecture,
~ icext(esk2_0,uri_ex_bob),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_34,plain,
iext(uri_rdf_type,uri_ex_bob,esk2_0),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_9]),c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB024+2 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n008.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 : 2400
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Oct 2 20:21:58 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order model finding
% 0.20/0.48 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.KMd6zIJOPU/E---3.1_29895.p
% 408.17/136.57 # Version: 3.1pre001
% 408.17/136.57 # Preprocessing class: FSMSSMSMSSSNFFN.
% 408.17/136.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.17/136.57 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 408.17/136.57 # Starting new_bool_3 with 300s (1) cores
% 408.17/136.57 # Starting new_bool_1 with 300s (1) cores
% 408.17/136.57 # Starting sh5l with 300s (1) cores
% 408.17/136.57 # sh5l with pid 29975 completed with status 0
% 408.17/136.57 # Result found by sh5l
% 408.17/136.57 # Preprocessing class: FSMSSMSMSSSNFFN.
% 408.17/136.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.17/136.57 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 408.17/136.57 # Starting new_bool_3 with 300s (1) cores
% 408.17/136.57 # Starting new_bool_1 with 300s (1) cores
% 408.17/136.57 # Starting sh5l with 300s (1) cores
% 408.17/136.57 # SinE strategy is gf500_gu_R04_F100_L20000
% 408.17/136.57 # Search class: FGHNF-FFSM31-SFFFFFNN
% 408.17/136.57 # partial match(1): FGHNF-FFSM21-SFFFFFNN
% 408.17/136.57 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 408.17/136.57 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 408.17/136.57 # SAT001_MinMin_p005000_rr_RG with pid 29981 completed with status 0
% 408.17/136.57 # Result found by SAT001_MinMin_p005000_rr_RG
% 408.17/136.57 # Preprocessing class: FSMSSMSMSSSNFFN.
% 408.17/136.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.17/136.57 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 408.17/136.57 # Starting new_bool_3 with 300s (1) cores
% 408.17/136.57 # Starting new_bool_1 with 300s (1) cores
% 408.17/136.57 # Starting sh5l with 300s (1) cores
% 408.17/136.57 # SinE strategy is gf500_gu_R04_F100_L20000
% 408.17/136.57 # Search class: FGHNF-FFSM31-SFFFFFNN
% 408.17/136.57 # partial match(1): FGHNF-FFSM21-SFFFFFNN
% 408.17/136.57 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 408.17/136.57 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 408.17/136.57 # Preprocessing time : 0.001 s
% 408.17/136.57 # Presaturation interreduction done
% 408.17/136.57
% 408.17/136.57 # Proof found!
% 408.17/136.57 # SZS status Theorem
% 408.17/136.57 # SZS output start CNFRefutation
% See solution above
% 408.17/136.57 # Parsed axioms : 6
% 408.17/136.57 # Removed by relevancy pruning/SinE : 0
% 408.17/136.57 # Initial clauses : 23
% 408.17/136.57 # Removed in clause preprocessing : 0
% 408.17/136.57 # Initial clauses in saturation : 23
% 408.17/136.57 # Processed clauses : 121
% 408.17/136.57 # ...of these trivial : 0
% 408.17/136.57 # ...subsumed : 11
% 408.17/136.57 # ...remaining for further processing : 110
% 408.17/136.57 # Other redundant clauses eliminated : 0
% 408.17/136.57 # Clauses deleted for lack of memory : 0
% 408.17/136.57 # Backward-subsumed : 7
% 408.17/136.57 # Backward-rewritten : 0
% 408.17/136.57 # Generated clauses : 121
% 408.17/136.57 # ...of the previous two non-redundant : 101
% 408.17/136.57 # ...aggressively subsumed : 0
% 408.17/136.57 # Contextual simplify-reflections : 1
% 408.17/136.57 # Paramodulations : 121
% 408.17/136.57 # Factorizations : 0
% 408.17/136.57 # NegExts : 0
% 408.17/136.57 # Equation resolutions : 0
% 408.17/136.57 # Total rewrite steps : 24
% 408.17/136.57 # Propositional unsat checks : 0
% 408.17/136.57 # Propositional check models : 0
% 408.17/136.57 # Propositional check unsatisfiable : 0
% 408.17/136.57 # Propositional clauses : 0
% 408.17/136.57 # Propositional clauses after purity: 0
% 408.17/136.57 # Propositional unsat core size : 0
% 408.17/136.57 # Propositional preprocessing time : 0.000
% 408.17/136.57 # Propositional encoding time : 0.000
% 408.17/136.57 # Propositional solver time : 0.000
% 408.17/136.57 # Success case prop preproc time : 0.000
% 408.17/136.57 # Success case prop encoding time : 0.000
% 408.17/136.57 # Success case prop solver time : 0.000
% 408.17/136.57 # Current number of processed clauses : 80
% 408.17/136.57 # Positive orientable unit clauses : 15
% 408.17/136.57 # Positive unorientable unit clauses: 0
% 408.17/136.57 # Negative unit clauses : 3
% 408.17/136.57 # Non-unit-clauses : 62
% 408.17/136.57 # Current number of unprocessed clauses: 24
% 408.17/136.57 # ...number of literals in the above : 139
% 408.17/136.57 # Current number of archived formulas : 0
% 408.17/136.57 # Current number of archived clauses : 30
% 408.17/136.57 # Clause-clause subsumption calls (NU) : 1127
% 408.17/136.57 # Rec. Clause-clause subsumption calls : 553
% 408.17/136.57 # Non-unit clause-clause subsumptions : 18
% 408.17/136.57 # Unit Clause-clause subsumption calls : 34
% 408.17/136.57 # Rewrite failures with RHS unbound : 0
% 408.17/136.57 # BW rewrite match attempts : 3
% 408.17/136.57 # BW rewrite match successes : 0
% 408.17/136.57 # Condensation attempts : 0
% 408.17/136.57 # Condensation successes : 0
% 408.17/136.57 # Termbank termtop insertions : 3570
% 408.17/136.57
% 408.17/136.57 # -------------------------------------------------
% 408.17/136.57 # User time : 0.013 s
% 408.17/136.57 # System time : 0.001 s
% 408.17/136.57 # Total time : 0.014 s
% 408.17/136.57 # Maximum resident set size: 1888 pages
% 408.17/136.57
% 408.17/136.57 # -------------------------------------------------
% 408.17/136.57 # User time : 0.015 s
% 408.17/136.57 # System time : 0.003 s
% 408.17/136.57 # Total time : 0.018 s
% 408.17/136.57 # Maximum resident set size: 1684 pages
% 408.17/136.57 % E---3.1 exiting
%------------------------------------------------------------------------------