TSTP Solution File: ITP004+4 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ITP004+4 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.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 0.96s 48.14s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 6 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 1 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm_2Epred__set_2EREST__SUBSET,conjecture,
! [X1,X120] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X120))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X120)))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thm_2Epred__set_2EREST__SUBSET) ).
fof(thm_2Epred__set_2EREST__DEF,axiom,
! [X1,X120] : s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X120))) = s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X120),s(X1,c_2Epred__set_2ECHOICE_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X120))))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thm_2Epred__set_2EREST__DEF) ).
fof(thm_2Epred__set_2ESUBSET__INSERT__DELETE,axiom,
! [X1,X9,X167,X19] : s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X167),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),c_2Epred__set_2EINSERT_2E2(s(X1,X9),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X19))))) = s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X167),s(X1,X9))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X19))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thm_2Epred__set_2ESUBSET__INSERT__DELETE) ).
fof(thm_2Epred__set_2ESUBSET__OF__INSERT,axiom,
! [X1,X9,X167] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X167),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),c_2Epred__set_2EINSERT_2E2(s(X1,X9),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X167)))))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thm_2Epred__set_2ESUBSET__OF__INSERT) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X120] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X120))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X120)))),
inference(assume_negation,[status(cth)],[thm_2Epred__set_2EREST__SUBSET]) ).
fof(c_0_5,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(esk1290_0,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(esk1290_0,tyop_2Emin_2Ebool),esk1291_0))),s(tyop_2Emin_2Efun(esk1290_0,tyop_2Emin_2Ebool),esk1291_0)))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_6,plain,
! [X121,X122] : s(tyop_2Emin_2Efun(X121,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(X121,tyop_2Emin_2Ebool),X122))) = s(tyop_2Emin_2Efun(X121,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(X121,tyop_2Emin_2Ebool),X122),s(X121,c_2Epred__set_2ECHOICE_2E1(s(tyop_2Emin_2Efun(X121,tyop_2Emin_2Ebool),X122))))),
inference(variable_rename,[status(thm)],[thm_2Epred__set_2EREST__DEF]) ).
fof(c_0_7,plain,
! [X168,X169,X170,X171] : s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X168,tyop_2Emin_2Ebool),X170),s(tyop_2Emin_2Efun(X168,tyop_2Emin_2Ebool),c_2Epred__set_2EINSERT_2E2(s(X168,X169),s(tyop_2Emin_2Efun(X168,tyop_2Emin_2Ebool),X171))))) = s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X168,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(X168,tyop_2Emin_2Ebool),X170),s(X168,X169))),s(tyop_2Emin_2Efun(X168,tyop_2Emin_2Ebool),X171))),
inference(variable_rename,[status(thm)],[thm_2Epred__set_2ESUBSET__INSERT__DELETE]) ).
fof(c_0_8,plain,
! [X168,X169,X170] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X168,tyop_2Emin_2Ebool),X170),s(tyop_2Emin_2Efun(X168,tyop_2Emin_2Ebool),c_2Epred__set_2EINSERT_2E2(s(X168,X169),s(tyop_2Emin_2Efun(X168,tyop_2Emin_2Ebool),X170)))))),
inference(variable_rename,[status(thm)],[thm_2Epred__set_2ESUBSET__OF__INSERT]) ).
cnf(c_0_9,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(esk1290_0,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(esk1290_0,tyop_2Emin_2Ebool),esk1291_0))),s(tyop_2Emin_2Efun(esk1290_0,tyop_2Emin_2Ebool),esk1291_0)))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))) = s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,c_2Epred__set_2ECHOICE_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),c_2Epred__set_2EINSERT_2E2(s(X1,X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4))))) = s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),c_2Epred__set_2EINSERT_2E2(s(X1,X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : ITP004+4 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.08/0.14 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jun 3 21:34:55 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.78/23.79 eprover: CPU time limit exceeded, terminating
% 0.78/23.79 eprover: CPU time limit exceeded, terminating
% 0.78/23.80 eprover: CPU time limit exceeded, terminating
% 0.78/23.82 eprover: CPU time limit exceeded, terminating
% 0.95/46.80 eprover: CPU time limit exceeded, terminating
% 0.95/46.82 eprover: CPU time limit exceeded, terminating
% 0.95/46.83 eprover: CPU time limit exceeded, terminating
% 0.95/46.83 eprover: CPU time limit exceeded, terminating
% 0.96/48.14 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.96/48.14
% 0.96/48.14 # Failure: Resource limit exceeded (time)
% 0.96/48.14 # OLD status Res
% 0.96/48.14 # Preprocessing time : 0.516 s
% 0.96/48.14 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.96/48.14
% 0.96/48.14 # Failure: Resource limit exceeded (time)
% 0.96/48.14 # OLD status Res
% 0.96/48.14 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.96/48.14 # Preprocessing time : 0.219 s
% 0.96/48.14 # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 0.96/48.14 # Preprocessing time : 0.441 s
% 0.96/48.14
% 0.96/48.14 # Proof found!
% 0.96/48.14 # SZS status Theorem
% 0.96/48.14 # SZS output start CNFRefutation
% See solution above
% 0.96/48.14 # Proof object total steps : 14
% 0.96/48.14 # Proof object clause steps : 5
% 0.96/48.14 # Proof object formula steps : 9
% 0.96/48.14 # Proof object conjectures : 5
% 0.96/48.14 # Proof object clause conjectures : 2
% 0.96/48.14 # Proof object formula conjectures : 3
% 0.96/48.14 # Proof object initial clauses used : 4
% 0.96/48.14 # Proof object initial formulas used : 4
% 0.96/48.14 # Proof object generating inferences : 0
% 0.96/48.14 # Proof object simplifying inferences : 4
% 0.96/48.14 # Training examples: 0 positive, 0 negative
% 0.96/48.14 # Parsed axioms : 3174
% 0.96/48.14 # Removed by relevancy pruning/SinE : 0
% 0.96/48.14 # Initial clauses : 6305
% 0.96/48.14 # Removed in clause preprocessing : 800
% 0.96/48.14 # Initial clauses in saturation : 5505
% 0.96/48.14 # Processed clauses : 985
% 0.96/48.14 # ...of these trivial : 124
% 0.96/48.14 # ...subsumed : 578
% 0.96/48.14 # ...remaining for further processing : 283
% 0.96/48.14 # Other redundant clauses eliminated : 0
% 0.96/48.14 # Clauses deleted for lack of memory : 0
% 0.96/48.14 # Backward-subsumed : 0
% 0.96/48.14 # Backward-rewritten : 26
% 0.96/48.14 # Generated clauses : 26662
% 0.96/48.14 # ...of the previous two non-trivial : 16598
% 0.96/48.14 # Contextual simplify-reflections : 0
% 0.96/48.14 # Paramodulations : 26655
% 0.96/48.14 # Factorizations : 4
% 0.96/48.14 # Equation resolutions : 3
% 0.96/48.14 # Current number of processed clauses : 257
% 0.96/48.14 # Positive orientable unit clauses : 117
% 0.96/48.14 # Positive unorientable unit clauses: 17
% 0.96/48.14 # Negative unit clauses : 24
% 0.96/48.14 # Non-unit-clauses : 99
% 0.96/48.14 # Current number of unprocessed clauses: 19578
% 0.96/48.14 # ...number of literals in the above : 38810
% 0.96/48.14 # Current number of archived formulas : 0
% 0.96/48.14 # Current number of archived clauses : 26
% 0.96/48.14 # Clause-clause subsumption calls (NU) : 3535
% 0.96/48.14 # Rec. Clause-clause subsumption calls : 2157
% 0.96/48.14 # Non-unit clause-clause subsumptions : 517
% 0.96/48.14 # Unit Clause-clause subsumption calls : 158
% 0.96/48.14 # Rewrite failures with RHS unbound : 2
% 0.96/48.14 # BW rewrite match attempts : 221
% 0.96/48.14 # BW rewrite match successes : 18
% 0.96/48.14 # Condensation attempts : 0
% 0.96/48.14 # Condensation successes : 0
% 0.96/48.14 # Termbank termtop insertions : 1456199
% 0.96/48.14
% 0.96/48.14 # -------------------------------------------------
% 0.96/48.14 # User time : 0.602 s
% 0.96/48.14 # System time : 0.025 s
% 0.96/48.14 # Total time : 0.627 s
% 0.96/48.14 # Maximum resident set size: 42132 pages
% 0.96/69.82 eprover: CPU time limit exceeded, terminating
% 0.96/69.84 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/69.84 eprover: No such file or directory
% 0.96/69.85 eprover: CPU time limit exceeded, terminating
% 0.96/69.85 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/69.85 eprover: No such file or directory
% 0.96/69.85 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/69.85 eprover: No such file or directory
% 0.96/69.86 eprover: CPU time limit exceeded, terminating
% 0.96/69.86 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/69.86 eprover: No such file or directory
% 0.96/69.86 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/69.86 eprover: No such file or directory
% 0.96/69.87 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/69.87 eprover: No such file or directory
% 0.96/69.87 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/69.87 eprover: No such file or directory
% 0.96/69.87 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/69.87 eprover: No such file or directory
% 0.96/69.87 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/69.87 eprover: No such file or directory
% 0.96/69.88 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/69.88 eprover: No such file or directory
% 0.96/69.88 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/69.88 eprover: No such file or directory
% 0.96/69.88 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/69.88 eprover: No such file or directory
% 0.96/69.88 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/69.88 eprover: No such file or directory
% 0.96/69.88 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/69.88 eprover: No such file or directory
% 0.96/69.88 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/69.88 eprover: No such file or directory
% 0.96/69.89 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/69.89 eprover: No such file or directory
% 0.96/69.89 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/69.89 eprover: No such file or directory
% 0.96/69.89 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/69.89 eprover: No such file or directory
% 0.96/69.89 eprover: eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.pCannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/69.89
% 0.96/69.89 eprover: No such file or directory
% 0.96/69.89 eprover: No such file or directory
% 0.96/69.89 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/69.89 eprover: No such file or directory
% 0.96/69.89 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/69.89 eprover: No such file or directory
% 0.96/69.90 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/69.90 eprover: No such file or directory
% 0.96/69.90 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/69.90 eprover: No such file or directory
% 0.96/69.90 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/69.90 eprover: No such file or directory
% 0.96/69.90 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/69.90 eprover: No such file or directory
% 0.96/69.91 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/69.91 eprover: No such file or directory
%------------------------------------------------------------------------------