TSTP Solution File: ITP004+5 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ITP004+5 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.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 : Sat Jul 16 22:45:43 EDT 2022
% Result : Theorem 0.45s 3.65s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 7 unt; 0 def)
% Number of atoms : 56 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 53 ( 21 ~; 18 |; 2 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_thm_2Epred__set_2EREST__SUBSET,conjecture,
! [X9] :
( ne(X9)
=> ! [X168] :
( mem(X168,arr(X9,bool))
=> p(ap(ap(c_2Epred__set_2ESUBSET(X9),ap(c_2Epred__set_2EREST(X9),X168)),X168)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_thm_2Epred__set_2EREST__SUBSET) ).
fof(mem_c_2Epred__set_2ECHOICE,axiom,
! [X9] :
( ne(X9)
=> mem(c_2Epred__set_2ECHOICE(X9),arr(arr(X9,bool),X9)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mem_c_2Epred__set_2ECHOICE) ).
fof(ap_tp,axiom,
! [X1,X2,X3] :
( mem(X3,arr(X1,X2))
=> ! [X4] :
( mem(X4,X1)
=> mem(ap(X3,X4),X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP001+2.ax',ap_tp) ).
fof(conj_thm_2Epred__set_2EDELETE__SUBSET,axiom,
! [X9] :
( ne(X9)
=> ! [X32] :
( mem(X32,X9)
=> ! [X148] :
( mem(X148,arr(X9,bool))
=> p(ap(ap(c_2Epred__set_2ESUBSET(X9),ap(ap(c_2Epred__set_2EDELETE(X9),X148),X32)),X148)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_thm_2Epred__set_2EDELETE__SUBSET) ).
fof(ax_thm_2Epred__set_2EREST__DEF,axiom,
! [X9] :
( ne(X9)
=> ! [X168] :
( mem(X168,arr(X9,bool))
=> ap(c_2Epred__set_2EREST(X9),X168) = ap(ap(c_2Epred__set_2EDELETE(X9),X168),ap(c_2Epred__set_2ECHOICE(X9),X168)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ax_thm_2Epred__set_2EREST__DEF) ).
fof(c_0_5,negated_conjecture,
~ ! [X9] :
( ne(X9)
=> ! [X168] :
( mem(X168,arr(X9,bool))
=> p(ap(ap(c_2Epred__set_2ESUBSET(X9),ap(c_2Epred__set_2EREST(X9),X168)),X168)) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Epred__set_2EREST__SUBSET]) ).
fof(c_0_6,plain,
! [X10] :
( ~ ne(X10)
| mem(c_2Epred__set_2ECHOICE(X10),arr(arr(X10,bool),X10)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Epred__set_2ECHOICE])]) ).
fof(c_0_7,negated_conjecture,
( ne(esk1_0)
& mem(esk2_0,arr(esk1_0,bool))
& ~ p(ap(ap(c_2Epred__set_2ESUBSET(esk1_0),ap(c_2Epred__set_2EREST(esk1_0),esk2_0)),esk2_0)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
fof(c_0_8,plain,
! [X5,X6,X7,X8] :
( ~ mem(X7,arr(X5,X6))
| ~ mem(X8,X5)
| mem(ap(X7,X8),X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])])]) ).
cnf(c_0_9,plain,
( mem(c_2Epred__set_2ECHOICE(X1),arr(arr(X1,bool),X1))
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
ne(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X149,X150,X151] :
( ~ ne(X149)
| ~ mem(X150,X149)
| ~ mem(X151,arr(X149,bool))
| p(ap(ap(c_2Epred__set_2ESUBSET(X149),ap(ap(c_2Epred__set_2EDELETE(X149),X151),X150)),X151)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Epred__set_2EDELETE__SUBSET])])])])]) ).
cnf(c_0_12,plain,
( mem(ap(X1,X2),X3)
| ~ mem(X2,X4)
| ~ mem(X1,arr(X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
mem(c_2Epred__set_2ECHOICE(esk1_0),arr(arr(esk1_0,bool),esk1_0)),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
fof(c_0_14,plain,
! [X169,X170] :
( ~ ne(X169)
| ~ mem(X170,arr(X169,bool))
| ap(c_2Epred__set_2EREST(X169),X170) = ap(ap(c_2Epred__set_2EDELETE(X169),X170),ap(c_2Epred__set_2ECHOICE(X169),X170)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_thm_2Epred__set_2EREST__DEF])])])])]) ).
cnf(c_0_15,plain,
( p(ap(ap(c_2Epred__set_2ESUBSET(X1),ap(ap(c_2Epred__set_2EDELETE(X1),X2),X3)),X2))
| ~ mem(X2,arr(X1,bool))
| ~ mem(X3,X1)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
mem(esk2_0,arr(esk1_0,bool)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,negated_conjecture,
( mem(ap(c_2Epred__set_2ECHOICE(esk1_0),X1),esk1_0)
| ~ mem(X1,arr(esk1_0,bool)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
( ap(c_2Epred__set_2EREST(X1),X2) = ap(ap(c_2Epred__set_2EDELETE(X1),X2),ap(c_2Epred__set_2ECHOICE(X1),X2))
| ~ mem(X2,arr(X1,bool))
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( p(ap(ap(c_2Epred__set_2ESUBSET(esk1_0),ap(ap(c_2Epred__set_2EDELETE(esk1_0),esk2_0),X1)),esk2_0))
| ~ mem(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_10])]) ).
cnf(c_0_20,negated_conjecture,
mem(ap(c_2Epred__set_2ECHOICE(esk1_0),esk2_0),esk1_0),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
ap(ap(c_2Epred__set_2EDELETE(esk1_0),esk2_0),ap(c_2Epred__set_2ECHOICE(esk1_0),esk2_0)) = ap(c_2Epred__set_2EREST(esk1_0),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_16]),c_0_10])]) ).
cnf(c_0_22,negated_conjecture,
~ p(ap(ap(c_2Epred__set_2ESUBSET(esk1_0),ap(c_2Epred__set_2EREST(esk1_0),esk2_0)),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP004+5 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 2 13:01:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.45/3.65 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.45/3.65 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.45/3.65 # Preprocessing time : 0.132 s
% 0.45/3.65
% 0.45/3.65 # Proof found!
% 0.45/3.65 # SZS status Theorem
% 0.45/3.65 # SZS output start CNFRefutation
% See solution above
% 0.45/3.65 # Proof object total steps : 24
% 0.45/3.65 # Proof object clause steps : 13
% 0.45/3.65 # Proof object formula steps : 11
% 0.45/3.65 # Proof object conjectures : 12
% 0.45/3.65 # Proof object clause conjectures : 9
% 0.45/3.65 # Proof object formula conjectures : 3
% 0.45/3.65 # Proof object initial clauses used : 7
% 0.45/3.65 # Proof object initial formulas used : 5
% 0.45/3.65 # Proof object generating inferences : 6
% 0.45/3.65 # Proof object simplifying inferences : 6
% 0.45/3.65 # Training examples: 0 positive, 0 negative
% 0.45/3.65 # Parsed axioms : 2447
% 0.45/3.65 # Removed by relevancy pruning/SinE : 2156
% 0.45/3.65 # Initial clauses : 1462
% 0.45/3.65 # Removed in clause preprocessing : 783
% 0.45/3.65 # Initial clauses in saturation : 679
% 0.45/3.65 # Processed clauses : 4483
% 0.45/3.65 # ...of these trivial : 31
% 0.45/3.65 # ...subsumed : 136
% 0.45/3.65 # ...remaining for further processing : 4316
% 0.45/3.65 # Other redundant clauses eliminated : 10
% 0.45/3.65 # Clauses deleted for lack of memory : 0
% 0.45/3.65 # Backward-subsumed : 1
% 0.45/3.65 # Backward-rewritten : 59
% 0.45/3.65 # Generated clauses : 113155
% 0.45/3.65 # ...of the previous two non-trivial : 112983
% 0.45/3.65 # Contextual simplify-reflections : 83
% 0.45/3.65 # Paramodulations : 113137
% 0.45/3.65 # Factorizations : 0
% 0.45/3.65 # Equation resolutions : 18
% 0.45/3.65 # Current number of processed clauses : 4246
% 0.45/3.65 # Positive orientable unit clauses : 2355
% 0.45/3.65 # Positive unorientable unit clauses: 0
% 0.45/3.65 # Negative unit clauses : 28
% 0.45/3.65 # Non-unit-clauses : 1863
% 0.45/3.65 # Current number of unprocessed clauses: 108749
% 0.45/3.65 # ...number of literals in the above : 349993
% 0.45/3.65 # Current number of archived formulas : 0
% 0.45/3.65 # Current number of archived clauses : 60
% 0.45/3.65 # Clause-clause subsumption calls (NU) : 268997
% 0.45/3.65 # Rec. Clause-clause subsumption calls : 48457
% 0.45/3.65 # Non-unit clause-clause subsumptions : 209
% 0.45/3.65 # Unit Clause-clause subsumption calls : 125725
% 0.45/3.65 # Rewrite failures with RHS unbound : 0
% 0.45/3.65 # BW rewrite match attempts : 383736
% 0.45/3.65 # BW rewrite match successes : 11
% 0.45/3.65 # Condensation attempts : 0
% 0.45/3.65 # Condensation successes : 0
% 0.45/3.65 # Termbank termtop insertions : 13556706
% 0.45/3.65
% 0.45/3.65 # -------------------------------------------------
% 0.45/3.65 # User time : 2.772 s
% 0.45/3.65 # System time : 0.084 s
% 0.45/3.65 # Total time : 2.856 s
% 0.45/3.65 # Maximum resident set size: 134656 pages
% 0.45/23.62 eprover: CPU time limit exceeded, terminating
% 0.45/23.63 eprover: CPU time limit exceeded, terminating
% 0.45/23.63 eprover: CPU time limit exceeded, terminating
% 0.45/23.64 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/23.64 eprover: No such file or directory
% 0.45/23.65 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/23.65 eprover: No such file or directory
% 0.45/23.65 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/23.65 eprover: No such file or directory
% 0.45/23.65 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.45/23.65 eprover: No such file or directory
% 0.45/23.65 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/23.65 eprover: No such file or directory
% 0.45/23.65 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/23.65 eprover: No such file or directory
% 0.45/23.66 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/23.66 eprover: No such file or directory
% 0.45/23.66 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.45/23.66 eprover: No such file or directory
% 0.45/23.66 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/23.66 eprover: No such file or directory
% 0.45/23.66 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/23.66 eprover: No such file or directory
% 0.45/23.66 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.45/23.66 eprover: No such file or directory
% 0.45/23.66 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/23.66 eprover: No such file or directory
% 0.45/23.66 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/23.66 eprover: No such file or directory
% 0.45/23.67 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.45/23.67 eprover: No such file or directory
% 0.45/23.67 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/23.67 eprover: No such file or directory
% 0.45/23.67 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/23.67 eprover: No such file or directory
% 0.45/23.67 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/23.67 eprover: No such file or directory
% 0.45/23.67 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.45/23.67 eprover: No such file or directory
% 0.45/23.67 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/23.67 eprover: No such file or directory
% 0.45/23.68 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.45/23.68 eprover: No such file or directory
% 0.45/23.68 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/23.68 eprover: No such file or directory
% 0.45/23.68 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/23.68 eprover: No such file or directory
% 0.45/23.68 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/23.68 eprover: No such file or directory
% 0.45/23.68 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/23.68 eprover: No such file or directory
% 0.45/23.68 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.45/23.68 eprover: No such file or directory
% 0.45/23.69 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/23.69 eprover: No such file or directory
% 0.45/23.69 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/23.69 eprover: No such file or directory
% 0.45/23.69 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.45/23.69 eprover: No such file or directory
% 0.45/23.69 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/23.69 eprover: No such file or directory
% 0.45/23.69 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.45/23.69 eprover: No such file or directory
% 0.45/23.69 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/23.69 eprover: No such file or directory
% 0.45/23.70 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.45/23.70 eprover: No such file or directory
% 0.45/23.70 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.45/23.70 eprover: No such file or directory
%------------------------------------------------------------------------------