TSTP Solution File: SWB024+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWB024+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 19:36:54 EDT 2023
% Result : Theorem 6.95s 1.46s
% Output : CNFRefutation 6.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 12 unt; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 114 ( 40 ~; 38 |; 29 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-3 aty)
% Number of variables : 51 ( 0 sgn; 28 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_subclassof_main,axiom,
! [X5,X6] :
( iext(uri_rdfs_subClassOf,X5,X6)
=> ( ic(X5)
& ic(X6)
& ! [X4] :
( icext(X5,X4)
=> icext(X6,X4) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.iFk7MFyKeS/E---3.1_16844.p',rdfs_subclassof_main) ).
fof(testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties,axiom,
? [X43] :
( iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
& iext(uri_rdfs_subClassOf,uri_ex_Person,X43)
& iext(uri_rdf_type,X43,uri_owl_Restriction)
& iext(uri_owl_onProperty,X43,uri_ex_hasAncestor)
& iext(uri_owl_minCardinality,X43,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/tmp/tmp.iFk7MFyKeS/E---3.1_16844.p',testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).
fof(rdfs_cext_def,axiom,
! [X4,X5] :
( iext(uri_rdf_type,X4,X5)
<=> icext(X5,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.iFk7MFyKeS/E---3.1_16844.p',rdfs_cext_def) ).
fof(owl_restrict_mincard_001,axiom,
! [X11,X2] :
( ( iext(uri_owl_minCardinality,X11,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,X11,X2) )
=> ! [X4] :
( icext(X11,X4)
<=> ? [X7] : iext(X2,X4,X7) ) ),
file('/export/starexec/sandbox2/tmp/tmp.iFk7MFyKeS/E---3.1_16844.p',owl_restrict_mincard_001) ).
fof(owl_char_transitive,axiom,
! [X2] :
( icext(uri_owl_TransitiveProperty,X2)
<=> ( ip(X2)
& ! [X4,X7,X11] :
( ( iext(X2,X4,X7)
& iext(X2,X7,X11) )
=> iext(X2,X4,X11) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.iFk7MFyKeS/E---3.1_16844.p',owl_char_transitive) ).
fof(testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties,conjecture,
? [X42] :
( iext(uri_ex_hasAncestor,uri_ex_bob,X42)
& iext(uri_ex_hasAncestor,uri_ex_alice,X42) ),
file('/export/starexec/sandbox2/tmp/tmp.iFk7MFyKeS/E---3.1_16844.p',testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).
fof(c_0_6,plain,
! [X66,X67,X68] :
( ( ic(X66)
| ~ iext(uri_rdfs_subClassOf,X66,X67) )
& ( ic(X67)
| ~ iext(uri_rdfs_subClassOf,X66,X67) )
& ( ~ icext(X66,X68)
| icext(X67,X68)
| ~ iext(uri_rdfs_subClassOf,X66,X67) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_subclassof_main])])])]) ).
fof(c_0_7,plain,
( iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
& iext(uri_rdfs_subClassOf,uri_ex_Person,esk192_0)
& iext(uri_rdf_type,esk192_0,uri_owl_Restriction)
& iext(uri_owl_onProperty,esk192_0,uri_ex_hasAncestor)
& iext(uri_owl_minCardinality,esk192_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_8,plain,
! [X50,X51] :
( ( ~ iext(uri_rdf_type,X50,X51)
| icext(X51,X50) )
& ( ~ icext(X51,X50)
| iext(uri_rdf_type,X50,X51) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
fof(c_0_9,plain,
! [X660,X661,X662,X664,X665] :
( ( ~ icext(X660,X662)
| iext(X661,X662,esk86_3(X660,X661,X662))
| ~ iext(uri_owl_minCardinality,X660,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X660,X661) )
& ( ~ iext(X661,X664,X665)
| icext(X660,X664)
| ~ iext(uri_owl_minCardinality,X660,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X660,X661) ) ),
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])])])])])]) ).
cnf(c_0_10,plain,
( icext(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_rdfs_subClassOf,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
iext(uri_rdfs_subClassOf,uri_ex_Person,esk192_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( icext(X2,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_14,plain,
! [X1062,X1063,X1064,X1065,X1066] :
( ( ip(X1062)
| ~ icext(uri_owl_TransitiveProperty,X1062) )
& ( ~ iext(X1062,X1063,X1064)
| ~ iext(X1062,X1064,X1065)
| iext(X1062,X1063,X1065)
| ~ icext(uri_owl_TransitiveProperty,X1062) )
& ( iext(X1066,esk173_1(X1066),esk174_1(X1066))
| ~ ip(X1066)
| icext(uri_owl_TransitiveProperty,X1066) )
& ( iext(X1066,esk174_1(X1066),esk175_1(X1066))
| ~ ip(X1066)
| icext(uri_owl_TransitiveProperty,X1066) )
& ( ~ iext(X1066,esk173_1(X1066),esk175_1(X1066))
| ~ ip(X1066)
| icext(uri_owl_TransitiveProperty,X1066) ) ),
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])])])])])]) ).
cnf(c_0_15,plain,
iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
( iext(X3,X2,esk86_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_9]) ).
cnf(c_0_17,plain,
iext(uri_owl_onProperty,esk192_0,uri_ex_hasAncestor),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,plain,
iext(uri_owl_minCardinality,esk192_0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,plain,
( icext(esk192_0,X1)
| ~ icext(uri_ex_Person,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_20,plain,
icext(uri_ex_Person,uri_ex_bob),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_21,negated_conjecture,
~ ? [X42] :
( iext(uri_ex_hasAncestor,uri_ex_bob,X42)
& iext(uri_ex_hasAncestor,uri_ex_alice,X42) ),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).
cnf(c_0_22,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_14]) ).
cnf(c_0_23,plain,
icext(uri_owl_TransitiveProperty,uri_ex_hasAncestor),
inference(spm,[status(thm)],[c_0_12,c_0_15]) ).
cnf(c_0_24,plain,
( iext(uri_ex_hasAncestor,X1,esk86_3(esk192_0,uri_ex_hasAncestor,X1))
| ~ icext(esk192_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_25,plain,
icext(esk192_0,uri_ex_bob),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_26,negated_conjecture,
! [X1250] :
( ~ iext(uri_ex_hasAncestor,uri_ex_bob,X1250)
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,X1250) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])]) ).
cnf(c_0_27,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_22,c_0_23]) ).
cnf(c_0_28,plain,
iext(uri_ex_hasAncestor,uri_ex_bob,esk86_3(esk192_0,uri_ex_hasAncestor,uri_ex_bob)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,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_26]) ).
cnf(c_0_30,plain,
( iext(uri_ex_hasAncestor,X1,esk86_3(esk192_0,uri_ex_hasAncestor,uri_ex_bob))
| ~ iext(uri_ex_hasAncestor,X1,uri_ex_bob) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,plain,
iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_32,negated_conjecture,
~ iext(uri_ex_hasAncestor,uri_ex_alice,esk86_3(esk192_0,uri_ex_hasAncestor,uri_ex_bob)),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_33,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.16 % Problem : SWB024+1 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.17 % Command : run_E %s %d THM
% 0.24/0.38 % Computer : n026.cluster.edu
% 0.24/0.38 % Model : x86_64 x86_64
% 0.24/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.38 % Memory : 8042.1875MB
% 0.24/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.24/0.38 % CPULimit : 2400
% 0.24/0.38 % WCLimit : 300
% 0.24/0.38 % DateTime : Mon Oct 2 20:44:59 EDT 2023
% 0.24/0.39 % CPUTime :
% 0.24/0.56 Running first-order theorem proving
% 0.24/0.56 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.iFk7MFyKeS/E---3.1_16844.p
% 6.95/1.46 # Version: 3.1pre001
% 6.95/1.46 # Preprocessing class: FSLMSMSLSSSNFFN.
% 6.95/1.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.95/1.46 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 6.95/1.46 # Starting new_bool_3 with 600s (2) cores
% 6.95/1.46 # Starting new_bool_1 with 600s (2) cores
% 6.95/1.46 # Starting sh5l with 300s (1) cores
% 6.95/1.46 # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 16930 completed with status 0
% 6.95/1.46 # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 6.95/1.46 # Preprocessing class: FSLMSMSLSSSNFFN.
% 6.95/1.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.95/1.46 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 6.95/1.46 # No SInE strategy applied
% 6.95/1.46 # Search class: FGHSM-SMLM33-SFFFFFNN
% 6.95/1.46 # partial match(1): FGHSM-SMLM33-DFFFFFNN
% 6.95/1.46 # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 6.95/1.46 # Starting SAT001_MinMin_p005000_rr with 487s (1) cores
% 6.95/1.46 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 6.95/1.46 # Starting SAT001_CA_MinMin_p005000_rr with 82s (1) cores
% 6.95/1.46 # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 16944 completed with status 0
% 6.95/1.46 # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 6.95/1.46 # Preprocessing class: FSLMSMSLSSSNFFN.
% 6.95/1.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.95/1.46 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 6.95/1.46 # No SInE strategy applied
% 6.95/1.46 # Search class: FGHSM-SMLM33-SFFFFFNN
% 6.95/1.46 # partial match(1): FGHSM-SMLM33-DFFFFFNN
% 6.95/1.46 # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 6.95/1.46 # Starting SAT001_MinMin_p005000_rr with 487s (1) cores
% 6.95/1.46 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 6.95/1.46 # Preprocessing time : 0.011 s
% 6.95/1.46
% 6.95/1.46 # Proof found!
% 6.95/1.46 # SZS status Theorem
% 6.95/1.46 # SZS output start CNFRefutation
% See solution above
% 6.95/1.46 # Parsed axioms : 560
% 6.95/1.46 # Removed by relevancy pruning/SinE : 0
% 6.95/1.46 # Initial clauses : 1275
% 6.95/1.46 # Removed in clause preprocessing : 111
% 6.95/1.46 # Initial clauses in saturation : 1164
% 6.95/1.46 # Processed clauses : 9639
% 6.95/1.46 # ...of these trivial : 1497
% 6.95/1.46 # ...subsumed : 3166
% 6.95/1.46 # ...remaining for further processing : 4976
% 6.95/1.46 # Other redundant clauses eliminated : 16
% 6.95/1.46 # Clauses deleted for lack of memory : 0
% 6.95/1.46 # Backward-subsumed : 36
% 6.95/1.46 # Backward-rewritten : 0
% 6.95/1.46 # Generated clauses : 26248
% 6.95/1.46 # ...of the previous two non-redundant : 20066
% 6.95/1.46 # ...aggressively subsumed : 0
% 6.95/1.46 # Contextual simplify-reflections : 26
% 6.95/1.46 # Paramodulations : 26230
% 6.95/1.46 # Factorizations : 2
% 6.95/1.46 # NegExts : 0
% 6.95/1.46 # Equation resolutions : 16
% 6.95/1.46 # Total rewrite steps : 19911
% 6.95/1.46 # Propositional unsat checks : 0
% 6.95/1.46 # Propositional check models : 0
% 6.95/1.46 # Propositional check unsatisfiable : 0
% 6.95/1.46 # Propositional clauses : 0
% 6.95/1.46 # Propositional clauses after purity: 0
% 6.95/1.46 # Propositional unsat core size : 0
% 6.95/1.46 # Propositional preprocessing time : 0.000
% 6.95/1.46 # Propositional encoding time : 0.000
% 6.95/1.46 # Propositional solver time : 0.000
% 6.95/1.46 # Success case prop preproc time : 0.000
% 6.95/1.46 # Success case prop encoding time : 0.000
% 6.95/1.46 # Success case prop solver time : 0.000
% 6.95/1.46 # Current number of processed clauses : 4924
% 6.95/1.46 # Positive orientable unit clauses : 2276
% 6.95/1.46 # Positive unorientable unit clauses: 0
% 6.95/1.46 # Negative unit clauses : 8
% 6.95/1.46 # Non-unit-clauses : 2640
% 6.95/1.46 # Current number of unprocessed clauses: 11591
% 6.95/1.46 # ...number of literals in the above : 57187
% 6.95/1.46 # Current number of archived formulas : 0
% 6.95/1.46 # Current number of archived clauses : 37
% 6.95/1.46 # Clause-clause subsumption calls (NU) : 1421510
% 6.95/1.46 # Rec. Clause-clause subsumption calls : 697580
% 6.95/1.46 # Non-unit clause-clause subsumptions : 3207
% 6.95/1.46 # Unit Clause-clause subsumption calls : 380991
% 6.95/1.46 # Rewrite failures with RHS unbound : 0
% 6.95/1.46 # BW rewrite match attempts : 1504
% 6.95/1.46 # BW rewrite match successes : 0
% 6.95/1.46 # Condensation attempts : 0
% 6.95/1.46 # Condensation successes : 0
% 6.95/1.46 # Termbank termtop insertions : 452842
% 6.95/1.46
% 6.95/1.46 # -------------------------------------------------
% 6.95/1.46 # User time : 0.784 s
% 6.95/1.46 # System time : 0.029 s
% 6.95/1.46 # Total time : 0.813 s
% 6.95/1.46 # Maximum resident set size: 5748 pages
% 6.95/1.46
% 6.95/1.46 # -------------------------------------------------
% 6.95/1.46 # User time : 2.252 s
% 6.95/1.46 # System time : 0.073 s
% 6.95/1.46 # Total time : 2.324 s
% 6.95/1.46 # Maximum resident set size: 2236 pages
% 6.95/1.46 % E---3.1 exiting
% 6.95/1.46 % E---3.1 exiting
%------------------------------------------------------------------------------