TSTP Solution File: SWB045+1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWB045+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n031.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 19:37:18 EDT 2023
% Result : Theorem 21.72s 3.26s
% Output : CNFRefutation 21.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 11 unt; 0 def)
% Number of atoms : 139 ( 16 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 163 ( 60 ~; 68 |; 27 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-3 aty)
% Number of variables : 57 ( 3 sgn; 32 !; 2 ?)
% 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/sandbox2/tmp/tmp.WVVJaiTLOf/E---3.1_4939.p',owl_enum_class_001) ).
fof(premise_rdfbased_sem_char_functional_ext,axiom,
? [X42,X37] :
( iext(uri_rdfs_range,uri_ex_p,X42)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_rdf_first,X37,uri_ex_y)
& iext(uri_rdf_rest,X37,uri_rdf_nil)
& iext(uri_owl_oneOf,X42,X37) ),
file('/export/starexec/sandbox2/tmp/tmp.WVVJaiTLOf/E---3.1_4939.p',premise_rdfbased_sem_char_functional_ext) ).
fof(owl_rdfsext_range,axiom,
! [X2,X5] :
( iext(uri_rdfs_range,X2,X5)
<=> ( ip(X2)
& ip(X5)
& ! [X4,X7] :
( iext(X2,X4,X7)
=> icext(X5,X7) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.WVVJaiTLOf/E---3.1_4939.p',owl_rdfsext_range) ).
fof(owl_char_functional,axiom,
! [X2] :
( icext(uri_owl_FunctionalProperty,X2)
<=> ( ip(X2)
& ! [X4,X27,X28] :
( ( iext(X2,X4,X27)
& iext(X2,X4,X28) )
=> X27 = X28 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.WVVJaiTLOf/E---3.1_4939.p',owl_char_functional) ).
fof(rdfs_cext_def,axiom,
! [X4,X5] :
( iext(uri_rdf_type,X4,X5)
<=> icext(X5,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.WVVJaiTLOf/E---3.1_4939.p',rdfs_cext_def) ).
fof(conclusion_rdfbased_sem_char_functional_ext,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_FunctionalProperty),
file('/export/starexec/sandbox2/tmp/tmp.WVVJaiTLOf/E---3.1_4939.p',conclusion_rdfbased_sem_char_functional_ext) ).
fof(c_0_6,plain,
! [X350,X351,X352,X353,X354] :
( ( ic(X350)
| ~ iext(uri_owl_oneOf,X350,X351)
| ~ iext(uri_rdf_first,X351,X352)
| ~ iext(uri_rdf_rest,X351,uri_rdf_nil) )
& ( ~ icext(X350,X353)
| X353 = X352
| ~ iext(uri_owl_oneOf,X350,X351)
| ~ iext(uri_rdf_first,X351,X352)
| ~ iext(uri_rdf_rest,X351,uri_rdf_nil) )
& ( X354 != X352
| icext(X350,X354)
| ~ iext(uri_owl_oneOf,X350,X351)
| ~ iext(uri_rdf_first,X351,X352)
| ~ iext(uri_rdf_rest,X351,uri_rdf_nil) )
& ( ~ icext(X350,esk11_3(X350,X351,X352))
| esk11_3(X350,X351,X352) != X352
| ~ ic(X350)
| iext(uri_owl_oneOf,X350,X351)
| ~ iext(uri_rdf_first,X351,X352)
| ~ iext(uri_rdf_rest,X351,uri_rdf_nil) )
& ( icext(X350,esk11_3(X350,X351,X352))
| esk11_3(X350,X351,X352) = X352
| ~ ic(X350)
| iext(uri_owl_oneOf,X350,X351)
| ~ iext(uri_rdf_first,X351,X352)
| ~ iext(uri_rdf_rest,X351,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_range,uri_ex_p,esk192_0)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_rdf_first,esk193_0,uri_ex_y)
& iext(uri_rdf_rest,esk193_0,uri_rdf_nil)
& iext(uri_owl_oneOf,esk192_0,esk193_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[premise_rdfbased_sem_char_functional_ext])]) ).
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,esk193_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X760,X761,X762,X763,X764,X765] :
( ( ip(X760)
| ~ iext(uri_rdfs_range,X760,X761) )
& ( ip(X761)
| ~ iext(uri_rdfs_range,X760,X761) )
& ( ~ iext(X760,X762,X763)
| icext(X761,X763)
| ~ iext(uri_rdfs_range,X760,X761) )
& ( iext(X764,esk107_2(X764,X765),esk108_2(X764,X765))
| ~ ip(X764)
| ~ ip(X765)
| iext(uri_rdfs_range,X764,X765) )
& ( ~ icext(X765,esk108_2(X764,X765))
| ~ ip(X764)
| ~ ip(X765)
| iext(uri_rdfs_range,X764,X765) ) ),
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_range])])])])])]) ).
cnf(c_0_11,plain,
( X1 = X2
| ~ icext(X3,X1)
| ~ iext(uri_rdf_first,esk193_0,X2)
| ~ iext(uri_owl_oneOf,X3,esk193_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
iext(uri_rdf_first,esk193_0,uri_ex_y),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( icext(X4,X3)
| ~ iext(X1,X2,X3)
| ~ iext(uri_rdfs_range,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
iext(uri_rdfs_range,uri_ex_p,esk192_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_15,plain,
! [X1031,X1032,X1033,X1034,X1035] :
( ( ip(X1031)
| ~ icext(uri_owl_FunctionalProperty,X1031) )
& ( ~ iext(X1031,X1032,X1033)
| ~ iext(X1031,X1032,X1034)
| X1033 = X1034
| ~ icext(uri_owl_FunctionalProperty,X1031) )
& ( iext(X1035,esk163_1(X1035),esk164_1(X1035))
| ~ ip(X1035)
| icext(uri_owl_FunctionalProperty,X1035) )
& ( iext(X1035,esk163_1(X1035),esk165_1(X1035))
| ~ ip(X1035)
| icext(uri_owl_FunctionalProperty,X1035) )
& ( esk164_1(X1035) != esk165_1(X1035)
| ~ ip(X1035)
| icext(uri_owl_FunctionalProperty,X1035) ) ),
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_functional])])])])])]) ).
cnf(c_0_16,plain,
( ip(X1)
| ~ iext(uri_rdfs_range,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( X1 = uri_ex_y
| ~ icext(X2,X1)
| ~ iext(uri_owl_oneOf,X2,esk193_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,plain,
iext(uri_owl_oneOf,esk192_0,esk193_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,plain,
( icext(esk192_0,X1)
| ~ iext(uri_ex_p,X2,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
( iext(X1,esk163_1(X1),esk165_1(X1))
| icext(uri_owl_FunctionalProperty,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,
! [X49,X50] :
( ( ~ iext(uri_rdf_type,X49,X50)
| icext(X50,X49) )
& ( ~ icext(X50,X49)
| iext(uri_rdf_type,X49,X50) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
cnf(c_0_23,plain,
( X1 = uri_ex_y
| ~ icext(esk192_0,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
( icext(esk192_0,esk165_1(uri_ex_p))
| icext(uri_owl_FunctionalProperty,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_FunctionalProperty),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_char_functional_ext])]) ).
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,
( esk165_1(uri_ex_p) = uri_ex_y
| icext(uri_owl_FunctionalProperty,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_FunctionalProperty),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,plain,
( iext(X1,esk163_1(X1),esk164_1(X1))
| icext(uri_owl_FunctionalProperty,X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_30,plain,
( icext(uri_owl_FunctionalProperty,X1)
| esk164_1(X1) != esk165_1(X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_31,plain,
esk165_1(uri_ex_p) = uri_ex_y,
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,esk164_1(uri_ex_p))
| icext(uri_owl_FunctionalProperty,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_FunctionalProperty,uri_ex_p)
| esk164_1(uri_ex_p) != uri_ex_y ),
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_FunctionalProperty,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
% 0.08/0.12 % Problem : SWB045+1 : TPTP v8.1.2. Released v5.2.0.
% 0.08/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n031.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 2400
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Oct 2 20:56:58 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.17/0.46 Running first-order theorem proving
% 0.17/0.46 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.WVVJaiTLOf/E---3.1_4939.p
% 21.72/3.26 # Version: 3.1pre001
% 21.72/3.26 # Preprocessing class: FSLMSMSLSSSNFFN.
% 21.72/3.26 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.72/3.26 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 21.72/3.26 # Starting new_bool_3 with 600s (2) cores
% 21.72/3.26 # Starting new_bool_1 with 600s (2) cores
% 21.72/3.26 # Starting sh5l with 300s (1) cores
% 21.72/3.26 # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 5017 completed with status 0
% 21.72/3.26 # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 21.72/3.26 # Preprocessing class: FSLMSMSLSSSNFFN.
% 21.72/3.26 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.72/3.26 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 21.72/3.26 # No SInE strategy applied
% 21.72/3.26 # Search class: FGHSM-SMLM33-SFFFFFNN
% 21.72/3.26 # partial match(1): FGHSM-SMLM33-DFFFFFNN
% 21.72/3.26 # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 21.72/3.26 # Starting SAT001_MinMin_p005000_rr with 487s (1) cores
% 21.72/3.26 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 21.72/3.26 # Starting SAT001_CA_MinMin_p005000_rr with 82s (1) cores
% 21.72/3.26 # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 5031 completed with status 0
% 21.72/3.26 # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 21.72/3.26 # Preprocessing class: FSLMSMSLSSSNFFN.
% 21.72/3.26 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.72/3.26 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 21.72/3.26 # No SInE strategy applied
% 21.72/3.26 # Search class: FGHSM-SMLM33-SFFFFFNN
% 21.72/3.26 # partial match(1): FGHSM-SMLM33-DFFFFFNN
% 21.72/3.26 # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 21.72/3.26 # Starting SAT001_MinMin_p005000_rr with 487s (1) cores
% 21.72/3.26 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 21.72/3.26 # Preprocessing time : 0.016 s
% 21.72/3.26
% 21.72/3.26 # Proof found!
% 21.72/3.26 # SZS status Theorem
% 21.72/3.26 # SZS output start CNFRefutation
% See solution above
% 21.72/3.26 # Parsed axioms : 560
% 21.72/3.26 # Removed by relevancy pruning/SinE : 0
% 21.72/3.26 # Initial clauses : 1272
% 21.72/3.26 # Removed in clause preprocessing : 111
% 21.72/3.26 # Initial clauses in saturation : 1161
% 21.72/3.26 # Processed clauses : 17192
% 21.72/3.26 # ...of these trivial : 1626
% 21.72/3.26 # ...subsumed : 7272
% 21.72/3.26 # ...remaining for further processing : 8294
% 21.72/3.26 # Other redundant clauses eliminated : 16
% 21.72/3.26 # Clauses deleted for lack of memory : 0
% 21.72/3.26 # Backward-subsumed : 39
% 21.72/3.26 # Backward-rewritten : 20
% 21.72/3.26 # Generated clauses : 51056
% 21.72/3.26 # ...of the previous two non-redundant : 41037
% 21.72/3.26 # ...aggressively subsumed : 0
% 21.72/3.26 # Contextual simplify-reflections : 71
% 21.72/3.26 # Paramodulations : 51038
% 21.72/3.26 # Factorizations : 2
% 21.72/3.26 # NegExts : 0
% 21.72/3.26 # Equation resolutions : 16
% 21.72/3.26 # Total rewrite steps : 35485
% 21.72/3.26 # Propositional unsat checks : 0
% 21.72/3.26 # Propositional check models : 0
% 21.72/3.26 # Propositional check unsatisfiable : 0
% 21.72/3.26 # Propositional clauses : 0
% 21.72/3.26 # Propositional clauses after purity: 0
% 21.72/3.26 # Propositional unsat core size : 0
% 21.72/3.26 # Propositional preprocessing time : 0.000
% 21.72/3.26 # Propositional encoding time : 0.000
% 21.72/3.26 # Propositional solver time : 0.000
% 21.72/3.26 # Success case prop preproc time : 0.000
% 21.72/3.26 # Success case prop encoding time : 0.000
% 21.72/3.26 # Success case prop solver time : 0.000
% 21.72/3.26 # Current number of processed clauses : 8219
% 21.72/3.26 # Positive orientable unit clauses : 2304
% 21.72/3.26 # Positive unorientable unit clauses: 0
% 21.72/3.26 # Negative unit clauses : 9
% 21.72/3.26 # Non-unit-clauses : 5906
% 21.72/3.26 # Current number of unprocessed clauses: 25005
% 21.72/3.26 # ...number of literals in the above : 110010
% 21.72/3.26 # Current number of archived formulas : 0
% 21.72/3.26 # Current number of archived clauses : 60
% 21.72/3.26 # Clause-clause subsumption calls (NU) : 5927483
% 21.72/3.26 # Rec. Clause-clause subsumption calls : 3978950
% 21.72/3.26 # Non-unit clause-clause subsumptions : 7355
% 21.72/3.26 # Unit Clause-clause subsumption calls : 609834
% 21.72/3.26 # Rewrite failures with RHS unbound : 0
% 21.72/3.26 # BW rewrite match attempts : 1612
% 21.72/3.26 # BW rewrite match successes : 12
% 21.72/3.26 # Condensation attempts : 0
% 21.72/3.26 # Condensation successes : 0
% 21.72/3.26 # Termbank termtop insertions : 765846
% 21.72/3.26
% 21.72/3.26 # -------------------------------------------------
% 21.72/3.26 # User time : 2.711 s
% 21.72/3.26 # System time : 0.043 s
% 21.72/3.26 # Total time : 2.754 s
% 21.72/3.26 # Maximum resident set size: 5748 pages
% 21.72/3.26
% 21.72/3.26 # -------------------------------------------------
% 21.72/3.26 # User time : 7.914 s
% 21.72/3.26 # System time : 0.179 s
% 21.72/3.26 # Total time : 8.093 s
% 21.72/3.26 # Maximum resident set size: 2236 pages
% 21.72/3.26 % E---3.1 exiting
% 21.72/3.26 % E---3.1 exiting
%------------------------------------------------------------------------------