TSTP Solution File: SWB026+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWB026+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 19:36:59 EDT 2023
% Result : Theorem 15.27s 2.63s
% Output : CNFRefutation 15.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 11 unt; 0 def)
% Number of atoms : 145 ( 16 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 169 ( 60 ~; 68 |; 33 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 15 con; 0-3 aty)
% Number of variables : 59 ( 3 sgn; 32 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_enum_class_001,axiom,
! [X11,X12,X21] :
( ( iext(uri_rdf_first,X12,X21)
& iext(uri_rdf_rest,X12,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X11,X12)
<=> ( ic(X11)
& ! [X4] :
( icext(X11,X4)
<=> X4 = X21 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ztsreqVSOt/E---3.1_6482.p',owl_enum_class_001) ).
fof(testcase_premise_fullish_026_Inferred_Property_Characteristics_I,axiom,
? [X42,X43,X44,X45] :
( iext(uri_rdfs_domain,uri_ex_p,X42)
& iext(uri_owl_oneOf,X42,X44)
& iext(uri_rdf_first,X44,uri_ex_w)
& iext(uri_rdf_rest,X44,uri_rdf_nil)
& iext(uri_rdfs_range,uri_ex_p,X43)
& iext(uri_owl_oneOf,X43,X45)
& iext(uri_rdf_first,X45,uri_ex_u)
& iext(uri_rdf_rest,X45,uri_rdf_nil) ),
file('/export/starexec/sandbox/tmp/tmp.ztsreqVSOt/E---3.1_6482.p',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).
fof(owl_rdfsext_domain,axiom,
! [X2,X5] :
( iext(uri_rdfs_domain,X2,X5)
<=> ( ip(X2)
& ic(X5)
& ! [X4,X7] :
( iext(X2,X4,X7)
=> icext(X5,X4) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ztsreqVSOt/E---3.1_6482.p',owl_rdfsext_domain) ).
fof(owl_char_inversefunctional,axiom,
! [X2] :
( icext(uri_owl_InverseFunctionalProperty,X2)
<=> ( ip(X2)
& ! [X37,X38,X7] :
( ( iext(X2,X37,X7)
& iext(X2,X38,X7) )
=> X37 = X38 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ztsreqVSOt/E---3.1_6482.p',owl_char_inversefunctional) ).
fof(rdfs_cext_def,axiom,
! [X4,X5] :
( iext(uri_rdf_type,X4,X5)
<=> icext(X5,X4) ),
file('/export/starexec/sandbox/tmp/tmp.ztsreqVSOt/E---3.1_6482.p',rdfs_cext_def) ).
fof(testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/tmp/tmp.ztsreqVSOt/E---3.1_6482.p',testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) ).
fof(c_0_6,plain,
! [X353,X354,X355,X356,X357] :
( ( ic(X353)
| ~ iext(uri_owl_oneOf,X353,X354)
| ~ iext(uri_rdf_first,X354,X355)
| ~ iext(uri_rdf_rest,X354,uri_rdf_nil) )
& ( ~ icext(X353,X356)
| X356 = X355
| ~ iext(uri_owl_oneOf,X353,X354)
| ~ iext(uri_rdf_first,X354,X355)
| ~ iext(uri_rdf_rest,X354,uri_rdf_nil) )
& ( X357 != X355
| icext(X353,X357)
| ~ iext(uri_owl_oneOf,X353,X354)
| ~ iext(uri_rdf_first,X354,X355)
| ~ iext(uri_rdf_rest,X354,uri_rdf_nil) )
& ( ~ icext(X353,esk11_3(X353,X354,X355))
| esk11_3(X353,X354,X355) != X355
| ~ ic(X353)
| iext(uri_owl_oneOf,X353,X354)
| ~ iext(uri_rdf_first,X354,X355)
| ~ iext(uri_rdf_rest,X354,uri_rdf_nil) )
& ( icext(X353,esk11_3(X353,X354,X355))
| esk11_3(X353,X354,X355) = X355
| ~ ic(X353)
| iext(uri_owl_oneOf,X353,X354)
| ~ iext(uri_rdf_first,X354,X355)
| ~ iext(uri_rdf_rest,X354,uri_rdf_nil) ) ),
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_enum_class_001])])])])])]) ).
fof(c_0_7,plain,
( iext(uri_rdfs_domain,uri_ex_p,esk192_0)
& iext(uri_owl_oneOf,esk192_0,esk194_0)
& iext(uri_rdf_first,esk194_0,uri_ex_w)
& iext(uri_rdf_rest,esk194_0,uri_rdf_nil)
& iext(uri_rdfs_range,uri_ex_p,esk193_0)
& iext(uri_owl_oneOf,esk193_0,esk195_0)
& iext(uri_rdf_first,esk195_0,uri_ex_u)
& iext(uri_rdf_rest,esk195_0,uri_rdf_nil) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_026_Inferred_Property_Characteristics_I])]) ).
cnf(c_0_8,plain,
( X2 = X3
| ~ icext(X1,X2)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X4,X3)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
iext(uri_rdf_rest,esk194_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X755,X756,X757,X758,X759,X760] :
( ( ip(X755)
| ~ iext(uri_rdfs_domain,X755,X756) )
& ( ic(X756)
| ~ iext(uri_rdfs_domain,X755,X756) )
& ( ~ iext(X755,X757,X758)
| icext(X756,X757)
| ~ iext(uri_rdfs_domain,X755,X756) )
& ( iext(X759,esk105_2(X759,X760),esk106_2(X759,X760))
| ~ ip(X759)
| ~ ic(X760)
| iext(uri_rdfs_domain,X759,X760) )
& ( ~ icext(X760,esk105_2(X759,X760))
| ~ ip(X759)
| ~ ic(X760)
| iext(uri_rdfs_domain,X759,X760) ) ),
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_domain])])])])])]) ).
cnf(c_0_11,plain,
( X1 = X2
| ~ icext(X3,X1)
| ~ iext(uri_rdf_first,esk194_0,X2)
| ~ iext(uri_owl_oneOf,X3,esk194_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
iext(uri_rdf_first,esk194_0,uri_ex_w),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( icext(X4,X2)
| ~ iext(X1,X2,X3)
| ~ iext(uri_rdfs_domain,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
iext(uri_rdfs_domain,uri_ex_p,esk192_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_15,plain,
! [X1042,X1043,X1044,X1045,X1046] :
( ( ip(X1042)
| ~ icext(uri_owl_InverseFunctionalProperty,X1042) )
& ( ~ iext(X1042,X1043,X1045)
| ~ iext(X1042,X1044,X1045)
| X1043 = X1044
| ~ icext(uri_owl_InverseFunctionalProperty,X1042) )
& ( iext(X1046,esk166_1(X1046),esk168_1(X1046))
| ~ ip(X1046)
| icext(uri_owl_InverseFunctionalProperty,X1046) )
& ( iext(X1046,esk167_1(X1046),esk168_1(X1046))
| ~ ip(X1046)
| icext(uri_owl_InverseFunctionalProperty,X1046) )
& ( esk166_1(X1046) != esk167_1(X1046)
| ~ ip(X1046)
| icext(uri_owl_InverseFunctionalProperty,X1046) ) ),
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_inversefunctional])])])])])]) ).
cnf(c_0_16,plain,
( ip(X1)
| ~ iext(uri_rdfs_domain,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( X1 = uri_ex_w
| ~ icext(X2,X1)
| ~ iext(uri_owl_oneOf,X2,esk194_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,plain,
iext(uri_owl_oneOf,esk192_0,esk194_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,plain,
( icext(esk192_0,X1)
| ~ iext(uri_ex_p,X1,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
( iext(X1,esk167_1(X1),esk168_1(X1))
| icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
ip(uri_ex_p),
inference(spm,[status(thm)],[c_0_16,c_0_14]) ).
fof(c_0_22,plain,
! [X52,X53] :
( ( ~ iext(uri_rdf_type,X52,X53)
| icext(X53,X52) )
& ( ~ icext(X53,X52)
| iext(uri_rdf_type,X52,X53) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
cnf(c_0_23,plain,
( X1 = uri_ex_w
| ~ icext(esk192_0,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
( icext(esk192_0,esk167_1(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
fof(c_0_25,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I])]) ).
cnf(c_0_26,plain,
( iext(uri_rdf_type,X2,X1)
| ~ icext(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
( esk167_1(uri_ex_p) = uri_ex_w
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,plain,
( iext(X1,esk166_1(X1),esk168_1(X1))
| icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_30,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| esk166_1(X1) != esk167_1(X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_31,plain,
esk167_1(uri_ex_p) = uri_ex_w,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_32,plain,
( icext(esk192_0,esk166_1(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_29]),c_0_21])]) ).
cnf(c_0_33,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| esk166_1(uri_ex_p) != uri_ex_w ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_21])]) ).
cnf(c_0_34,plain,
icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_32]),c_0_33]) ).
cnf(c_0_35,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_34]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.15 % Problem : SWB026+1 : TPTP v8.1.2. Released v5.2.0.
% 0.14/0.15 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 2400
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Oct 2 20:37:46 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.20/0.52 Running first-order theorem proving
% 0.20/0.52 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.ztsreqVSOt/E---3.1_6482.p
% 15.27/2.63 # Version: 3.1pre001
% 15.27/2.63 # Preprocessing class: FSLMSMSLSSSNFFN.
% 15.27/2.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.27/2.63 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 15.27/2.63 # Starting new_bool_3 with 600s (2) cores
% 15.27/2.63 # Starting new_bool_1 with 600s (2) cores
% 15.27/2.63 # Starting sh5l with 300s (1) cores
% 15.27/2.63 # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 6560 completed with status 0
% 15.27/2.63 # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 15.27/2.63 # Preprocessing class: FSLMSMSLSSSNFFN.
% 15.27/2.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.27/2.63 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 15.27/2.63 # No SInE strategy applied
% 15.27/2.63 # Search class: FGHSM-SMLM33-SFFFFFNN
% 15.27/2.63 # partial match(1): FGHSM-SMLM33-DFFFFFNN
% 15.27/2.63 # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 15.27/2.63 # Starting SAT001_MinMin_p005000_rr with 487s (1) cores
% 15.27/2.63 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 15.27/2.63 # Starting SAT001_CA_MinMin_p005000_rr with 82s (1) cores
% 15.27/2.63 # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 6573 completed with status 0
% 15.27/2.63 # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 15.27/2.63 # Preprocessing class: FSLMSMSLSSSNFFN.
% 15.27/2.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.27/2.63 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 15.27/2.63 # No SInE strategy applied
% 15.27/2.63 # Search class: FGHSM-SMLM33-SFFFFFNN
% 15.27/2.63 # partial match(1): FGHSM-SMLM33-DFFFFFNN
% 15.27/2.63 # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 15.27/2.63 # Starting SAT001_MinMin_p005000_rr with 487s (1) cores
% 15.27/2.63 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 15.27/2.63 # Preprocessing time : 0.015 s
% 15.27/2.63
% 15.27/2.63 # Proof found!
% 15.27/2.63 # SZS status Theorem
% 15.27/2.63 # SZS output start CNFRefutation
% See solution above
% 15.27/2.63 # Parsed axioms : 560
% 15.27/2.63 # Removed by relevancy pruning/SinE : 0
% 15.27/2.63 # Initial clauses : 1275
% 15.27/2.63 # Removed in clause preprocessing : 111
% 15.27/2.63 # Initial clauses in saturation : 1164
% 15.27/2.63 # Processed clauses : 17551
% 15.27/2.63 # ...of these trivial : 1631
% 15.27/2.63 # ...subsumed : 7416
% 15.27/2.63 # ...remaining for further processing : 8504
% 15.27/2.63 # Other redundant clauses eliminated : 16
% 15.27/2.63 # Clauses deleted for lack of memory : 0
% 15.27/2.63 # Backward-subsumed : 50
% 15.27/2.63 # Backward-rewritten : 67
% 15.27/2.63 # Generated clauses : 52450
% 15.27/2.63 # ...of the previous two non-redundant : 42182
% 15.27/2.63 # ...aggressively subsumed : 0
% 15.27/2.63 # Contextual simplify-reflections : 70
% 15.27/2.63 # Paramodulations : 52432
% 15.27/2.63 # Factorizations : 2
% 15.27/2.63 # NegExts : 0
% 15.27/2.63 # Equation resolutions : 16
% 15.27/2.63 # Total rewrite steps : 36262
% 15.27/2.63 # Propositional unsat checks : 0
% 15.27/2.63 # Propositional check models : 0
% 15.27/2.63 # Propositional check unsatisfiable : 0
% 15.27/2.63 # Propositional clauses : 0
% 15.27/2.63 # Propositional clauses after purity: 0
% 15.27/2.63 # Propositional unsat core size : 0
% 15.27/2.63 # Propositional preprocessing time : 0.000
% 15.27/2.63 # Propositional encoding time : 0.000
% 15.27/2.63 # Propositional solver time : 0.000
% 15.27/2.63 # Success case prop preproc time : 0.000
% 15.27/2.63 # Success case prop encoding time : 0.000
% 15.27/2.63 # Success case prop solver time : 0.000
% 15.27/2.63 # Current number of processed clauses : 8371
% 15.27/2.63 # Positive orientable unit clauses : 2324
% 15.27/2.63 # Positive unorientable unit clauses: 0
% 15.27/2.63 # Negative unit clauses : 9
% 15.27/2.63 # Non-unit-clauses : 6038
% 15.27/2.63 # Current number of unprocessed clauses: 25763
% 15.27/2.63 # ...number of literals in the above : 113684
% 15.27/2.63 # Current number of archived formulas : 0
% 15.27/2.63 # Current number of archived clauses : 118
% 15.27/2.63 # Clause-clause subsumption calls (NU) : 5872223
% 15.27/2.63 # Rec. Clause-clause subsumption calls : 4038990
% 15.27/2.63 # Non-unit clause-clause subsumptions : 7508
% 15.27/2.63 # Unit Clause-clause subsumption calls : 642870
% 15.27/2.63 # Rewrite failures with RHS unbound : 0
% 15.27/2.63 # BW rewrite match attempts : 1625
% 15.27/2.63 # BW rewrite match successes : 26
% 15.27/2.63 # Condensation attempts : 0
% 15.27/2.63 # Condensation successes : 0
% 15.27/2.63 # Termbank termtop insertions : 784340
% 15.27/2.63
% 15.27/2.63 # -------------------------------------------------
% 15.27/2.63 # User time : 1.911 s
% 15.27/2.63 # System time : 0.049 s
% 15.27/2.63 # Total time : 1.959 s
% 15.27/2.63 # Maximum resident set size: 5752 pages
% 15.27/2.63
% 15.27/2.63 # -------------------------------------------------
% 15.27/2.63 # User time : 5.812 s
% 15.27/2.63 # System time : 0.167 s
% 15.27/2.63 # Total time : 5.979 s
% 15.27/2.63 # Maximum resident set size: 2236 pages
% 15.27/2.63 % E---3.1 exiting
% 15.27/2.63 % E---3.1 exiting
%------------------------------------------------------------------------------