TSTP Solution File: SWB026+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWB026+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 : 600s
% DateTime : Tue Jul 19 19:02:05 EDT 2022
% Result : Theorem 0.23s 1.43s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 14 unt; 0 def)
% Number of atoms : 142 ( 13 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 159 ( 58 ~; 64 |; 29 &)
% ( 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 : 20 ( 20 usr; 16 con; 0-3 aty)
% Number of variables : 59 ( 8 sgn 35 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_domain_main,axiom,
! [X1,X3,X2,X4] :
( ( iext(uri_rdfs_domain,X1,X3)
& iext(X1,X2,X4) )
=> icext(X3,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',rdfs_domain_main) ).
fof(testcase_premise_fullish_026_Inferred_Property_Characteristics_I,axiom,
? [X10,X11,X12,X13] :
( iext(uri_rdfs_domain,uri_ex_p,X10)
& iext(uri_owl_oneOf,X10,X12)
& iext(uri_rdf_first,X12,uri_ex_w)
& iext(uri_rdf_rest,X12,uri_rdf_nil)
& iext(uri_rdfs_range,uri_ex_p,X11)
& iext(uri_owl_oneOf,X11,X13)
& iext(uri_rdf_first,X13,uri_ex_u)
& iext(uri_rdf_rest,X13,uri_rdf_nil) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).
fof(owl_enum_class_001,axiom,
! [X5,X6,X7] :
( ( iext(uri_rdf_first,X6,X7)
& iext(uri_rdf_rest,X6,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X5,X6)
<=> ( ic(X5)
& ! [X2] :
( icext(X5,X2)
<=> X2 = X7 ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_enum_class_001) ).
fof(owl_char_inversefunctional,axiom,
! [X1] :
( icext(uri_owl_InverseFunctionalProperty,X1)
<=> ( ip(X1)
& ! [X8,X9,X4] :
( ( iext(X1,X8,X4)
& iext(X1,X9,X4) )
=> X8 = X9 ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_char_inversefunctional) ).
fof(rdfs_domain_domain,axiom,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',rdfs_domain_domain) ).
fof(rdfs_cext_def,axiom,
! [X2,X3] :
( iext(uri_rdf_type,X2,X3)
<=> icext(X3,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',rdfs_cext_def) ).
fof(rdf_type_ip,axiom,
! [X1] :
( iext(uri_rdf_type,X1,uri_rdf_Property)
<=> ip(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',rdf_type_ip) ).
fof(testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) ).
fof(c_0_8,plain,
! [X5,X6,X7,X8] :
( ~ iext(uri_rdfs_domain,X5,X6)
| ~ iext(X5,X7,X8)
| icext(X6,X7) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_domain_main])])])]) ).
fof(c_0_9,plain,
( iext(uri_rdfs_domain,uri_ex_p,esk5_0)
& iext(uri_owl_oneOf,esk5_0,esk7_0)
& iext(uri_rdf_first,esk7_0,uri_ex_w)
& iext(uri_rdf_rest,esk7_0,uri_rdf_nil)
& iext(uri_rdfs_range,uri_ex_p,esk6_0)
& iext(uri_owl_oneOf,esk6_0,esk8_0)
& iext(uri_rdf_first,esk8_0,uri_ex_u)
& iext(uri_rdf_rest,esk8_0,uri_rdf_nil) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_026_Inferred_Property_Characteristics_I])]) ).
fof(c_0_10,plain,
! [X8,X9,X10,X11,X11] :
( ( ic(X8)
| ~ iext(uri_owl_oneOf,X8,X9)
| ~ iext(uri_rdf_first,X9,X10)
| ~ iext(uri_rdf_rest,X9,uri_rdf_nil) )
& ( ~ icext(X8,X11)
| X11 = X10
| ~ iext(uri_owl_oneOf,X8,X9)
| ~ iext(uri_rdf_first,X9,X10)
| ~ iext(uri_rdf_rest,X9,uri_rdf_nil) )
& ( X11 != X10
| icext(X8,X11)
| ~ iext(uri_owl_oneOf,X8,X9)
| ~ iext(uri_rdf_first,X9,X10)
| ~ iext(uri_rdf_rest,X9,uri_rdf_nil) )
& ( ~ icext(X8,esk1_3(X8,X9,X10))
| esk1_3(X8,X9,X10) != X10
| ~ ic(X8)
| iext(uri_owl_oneOf,X8,X9)
| ~ iext(uri_rdf_first,X9,X10)
| ~ iext(uri_rdf_rest,X9,uri_rdf_nil) )
& ( icext(X8,esk1_3(X8,X9,X10))
| esk1_3(X8,X9,X10) = X10
| ~ ic(X8)
| iext(uri_owl_oneOf,X8,X9)
| ~ iext(uri_rdf_first,X9,X10)
| ~ iext(uri_rdf_rest,X9,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_enum_class_001])])])])])])]) ).
cnf(c_0_11,plain,
( icext(X1,X2)
| ~ iext(X3,X2,X4)
| ~ iext(uri_rdfs_domain,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
iext(uri_rdfs_domain,uri_ex_p,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X10,X11,X12,X13,X10] :
( ( ip(X10)
| ~ icext(uri_owl_InverseFunctionalProperty,X10) )
& ( ~ iext(X10,X11,X13)
| ~ iext(X10,X12,X13)
| X11 = X12
| ~ icext(uri_owl_InverseFunctionalProperty,X10) )
& ( iext(X10,esk2_1(X10),esk4_1(X10))
| ~ ip(X10)
| icext(uri_owl_InverseFunctionalProperty,X10) )
& ( iext(X10,esk3_1(X10),esk4_1(X10))
| ~ ip(X10)
| icext(uri_owl_InverseFunctionalProperty,X10) )
& ( esk2_1(X10) != esk3_1(X10)
| ~ ip(X10)
| icext(uri_owl_InverseFunctionalProperty,X10) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_char_inversefunctional])])])])])])]) ).
cnf(c_0_14,plain,
( X4 = X2
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_oneOf,X3,X1)
| ~ icext(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
iext(uri_rdf_first,esk7_0,uri_ex_w),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
iext(uri_rdf_rest,esk7_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( icext(esk5_0,X1)
| ~ iext(uri_ex_p,X1,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk3_1(X1),esk4_1(X1))
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( uri_ex_w = X1
| ~ icext(X2,X1)
| ~ iext(uri_owl_oneOf,X2,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_20,plain,
( icext(esk5_0,esk3_1(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
iext(uri_owl_oneOf,esk5_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(split_conjunct,[status(thm)],[rdfs_domain_domain]) ).
cnf(c_0_23,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk2_1(X1),esk4_1(X1))
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_24,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1)
| esk2_1(X1) != esk3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_25,plain,
( esk3_1(uri_ex_p) = uri_ex_w
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ ip(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_26,plain,
! [X4,X5,X4,X5] :
( ( ~ iext(uri_rdf_type,X4,X5)
| icext(X5,X4) )
& ( ~ icext(X5,X4)
| iext(uri_rdf_type,X4,X5) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])])])]) ).
cnf(c_0_27,plain,
( icext(uri_rdf_Property,X1)
| ~ iext(uri_rdfs_domain,X1,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_22]) ).
cnf(c_0_28,plain,
( icext(esk5_0,esk2_1(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[c_0_17,c_0_23]) ).
cnf(c_0_29,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| esk2_1(uri_ex_p) != uri_ex_w
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_30,plain,
! [X2,X2] :
( ( ~ iext(uri_rdf_type,X2,uri_rdf_Property)
| ip(X2) )
& ( ~ ip(X2)
| iext(uri_rdf_type,X2,uri_rdf_Property) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdf_type_ip])])])]) ).
cnf(c_0_31,plain,
( iext(uri_rdf_type,X1,X2)
| ~ icext(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
icext(uri_rdf_Property,uri_ex_p),
inference(spm,[status(thm)],[c_0_27,c_0_12]) ).
fof(c_0_33,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I]) ).
cnf(c_0_34,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_28]),c_0_21])]),c_0_29]) ).
cnf(c_0_35,plain,
( ip(X1)
| ~ iext(uri_rdf_type,X1,uri_rdf_Property) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_37,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
cnf(c_0_38,plain,
icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_39,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_40,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_38]),c_0_39]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWB026+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.14 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n021.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 : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 1 04:16:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.23/1.43 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.43 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.43 # Preprocessing time : 0.015 s
% 0.23/1.43
% 0.23/1.43 # Failure: Out of unprocessed clauses!
% 0.23/1.43 # OLD status GaveUp
% 0.23/1.43 # Parsed axioms : 8
% 0.23/1.43 # Removed by relevancy pruning/SinE : 2
% 0.23/1.43 # Initial clauses : 12
% 0.23/1.43 # Removed in clause preprocessing : 0
% 0.23/1.43 # Initial clauses in saturation : 12
% 0.23/1.43 # Processed clauses : 32
% 0.23/1.43 # ...of these trivial : 0
% 0.23/1.43 # ...subsumed : 0
% 0.23/1.43 # ...remaining for further processing : 32
% 0.23/1.43 # Other redundant clauses eliminated : 0
% 0.23/1.43 # Clauses deleted for lack of memory : 0
% 0.23/1.43 # Backward-subsumed : 0
% 0.23/1.43 # Backward-rewritten : 0
% 0.23/1.43 # Generated clauses : 22
% 0.23/1.43 # ...of the previous two non-trivial : 20
% 0.23/1.43 # Contextual simplify-reflections : 0
% 0.23/1.43 # Paramodulations : 22
% 0.23/1.43 # Factorizations : 0
% 0.23/1.43 # Equation resolutions : 0
% 0.23/1.43 # Current number of processed clauses : 32
% 0.23/1.43 # Positive orientable unit clauses : 3
% 0.23/1.43 # Positive unorientable unit clauses: 0
% 0.23/1.43 # Negative unit clauses : 1
% 0.23/1.43 # Non-unit-clauses : 28
% 0.23/1.43 # Current number of unprocessed clauses: 0
% 0.23/1.43 # ...number of literals in the above : 0
% 0.23/1.43 # Current number of archived formulas : 0
% 0.23/1.43 # Current number of archived clauses : 0
% 0.23/1.43 # Clause-clause subsumption calls (NU) : 216
% 0.23/1.43 # Rec. Clause-clause subsumption calls : 39
% 0.23/1.43 # Non-unit clause-clause subsumptions : 0
% 0.23/1.43 # Unit Clause-clause subsumption calls : 1
% 0.23/1.43 # Rewrite failures with RHS unbound : 0
% 0.23/1.43 # BW rewrite match attempts : 0
% 0.23/1.43 # BW rewrite match successes : 0
% 0.23/1.43 # Condensation attempts : 0
% 0.23/1.43 # Condensation successes : 0
% 0.23/1.43 # Termbank termtop insertions : 1109
% 0.23/1.43
% 0.23/1.43 # -------------------------------------------------
% 0.23/1.43 # User time : 0.014 s
% 0.23/1.43 # System time : 0.003 s
% 0.23/1.43 # Total time : 0.017 s
% 0.23/1.43 # Maximum resident set size: 2944 pages
% 0.23/1.43 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.23/1.43 # Preprocessing time : 0.016 s
% 0.23/1.43
% 0.23/1.43 # Proof found!
% 0.23/1.43 # SZS status Theorem
% 0.23/1.43 # SZS output start CNFRefutation
% See solution above
% 0.23/1.43 # Proof object total steps : 41
% 0.23/1.43 # Proof object clause steps : 25
% 0.23/1.43 # Proof object formula steps : 16
% 0.23/1.43 # Proof object conjectures : 4
% 0.23/1.43 # Proof object clause conjectures : 1
% 0.23/1.43 # Proof object formula conjectures : 3
% 0.23/1.43 # Proof object initial clauses used : 13
% 0.23/1.43 # Proof object initial formulas used : 8
% 0.23/1.43 # Proof object generating inferences : 12
% 0.23/1.43 # Proof object simplifying inferences : 10
% 0.23/1.43 # Training examples: 0 positive, 0 negative
% 0.23/1.43 # Parsed axioms : 8
% 0.23/1.43 # Removed by relevancy pruning/SinE : 0
% 0.23/1.43 # Initial clauses : 25
% 0.23/1.43 # Removed in clause preprocessing : 0
% 0.23/1.43 # Initial clauses in saturation : 25
% 0.23/1.43 # Processed clauses : 62
% 0.23/1.43 # ...of these trivial : 0
% 0.23/1.43 # ...subsumed : 4
% 0.23/1.43 # ...remaining for further processing : 58
% 0.23/1.43 # Other redundant clauses eliminated : 1
% 0.23/1.43 # Clauses deleted for lack of memory : 0
% 0.23/1.43 # Backward-subsumed : 5
% 0.23/1.43 # Backward-rewritten : 1
% 0.23/1.43 # Generated clauses : 79
% 0.23/1.43 # ...of the previous two non-trivial : 69
% 0.23/1.43 # Contextual simplify-reflections : 1
% 0.23/1.43 # Paramodulations : 78
% 0.23/1.43 # Factorizations : 0
% 0.23/1.43 # Equation resolutions : 1
% 0.23/1.43 # Current number of processed clauses : 51
% 0.23/1.43 # Positive orientable unit clauses : 14
% 0.23/1.43 # Positive unorientable unit clauses: 0
% 0.23/1.43 # Negative unit clauses : 1
% 0.23/1.43 # Non-unit-clauses : 36
% 0.23/1.43 # Current number of unprocessed clauses: 26
% 0.23/1.43 # ...number of literals in the above : 118
% 0.23/1.43 # Current number of archived formulas : 0
% 0.23/1.43 # Current number of archived clauses : 6
% 0.23/1.43 # Clause-clause subsumption calls (NU) : 481
% 0.23/1.43 # Rec. Clause-clause subsumption calls : 153
% 0.23/1.43 # Non-unit clause-clause subsumptions : 10
% 0.23/1.43 # Unit Clause-clause subsumption calls : 28
% 0.23/1.43 # Rewrite failures with RHS unbound : 0
% 0.23/1.43 # BW rewrite match attempts : 2
% 0.23/1.43 # BW rewrite match successes : 1
% 0.23/1.43 # Condensation attempts : 0
% 0.23/1.43 # Condensation successes : 0
% 0.23/1.43 # Termbank termtop insertions : 2557
% 0.23/1.43
% 0.23/1.43 # -------------------------------------------------
% 0.23/1.43 # User time : 0.016 s
% 0.23/1.43 # System time : 0.004 s
% 0.23/1.43 # Total time : 0.020 s
% 0.23/1.43 # Maximum resident set size: 2880 pages
%------------------------------------------------------------------------------