%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ITP015+5 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.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 22:45:59 EDT 2022
% Result : Theorem 2.03s 31.21s
% Output : CNFRefutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 5 unt; 0 def)
% Number of atoms : 49 ( 12 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 46 ( 20 ~; 17 |; 1 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_thm_2Einteger__word_2Ei2w__w2i,axiom,
! [X9] :
( ne(X9)
=> ! [X12066] :
( mem(X12066,ty_2Efcp_2Ecart(bool,X9))
=> ap(c_2Einteger__word_2Ei2w(X9),ap(c_2Einteger__word_2Ew2i(X9),X12066)) = X12066 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_thm_2Einteger__word_2Ei2w__w2i) ).
fof(conj_thm_2Einteger__word_2Eword__0__w2i,axiom,
! [X9] :
( ne(X9)
=> ap(c_2Einteger__word_2Ew2i(X9),ap(c_2Ewords_2En2w(X9),c_2Enum_2E0)) = ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_thm_2Einteger__word_2Eword__0__w2i) ).
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(mem_c_2Ewords_2En2w,axiom,
! [X9] :
( ne(X9)
=> mem(c_2Ewords_2En2w(X9),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,X9))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP090+5.ax',mem_c_2Ewords_2En2w) ).
fof(conj_thm_2Einteger__word_2Ei2w__0,conjecture,
! [X9] :
( ne(X9)
=> ap(c_2Einteger__word_2Ei2w(X9),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Ewords_2En2w(X9),c_2Enum_2E0) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_thm_2Einteger__word_2Ei2w__0) ).
fof(mem_c_2Enum_2E0,axiom,
mem(c_2Enum_2E0,ty_2Enum_2Enum),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP009+5.ax',mem_c_2Enum_2E0) ).
fof(c_0_6,plain,
! [X12067,X12068] :
( ~ ne(X12067)
| ~ mem(X12068,ty_2Efcp_2Ecart(bool,X12067))
| ap(c_2Einteger__word_2Ei2w(X12067),ap(c_2Einteger__word_2Ew2i(X12067),X12068)) = X12068 ),
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_2Einteger__word_2Ei2w__w2i])])])])]) ).
fof(c_0_7,plain,
! [X10] :
( ~ ne(X10)
| ap(c_2Einteger__word_2Ew2i(X10),ap(c_2Ewords_2En2w(X10),c_2Enum_2E0)) = ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger__word_2Eword__0__w2i])]) ).
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])])])])]) ).
fof(c_0_9,plain,
! [X10] :
( ~ ne(X10)
| mem(c_2Ewords_2En2w(X10),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,X10))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Ewords_2En2w])]) ).
fof(c_0_10,negated_conjecture,
~ ! [X9] :
( ne(X9)
=> ap(c_2Einteger__word_2Ei2w(X9),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Ewords_2En2w(X9),c_2Enum_2E0) ),
inference(assume_negation,[status(cth)],[conj_thm_2Einteger__word_2Ei2w__0]) ).
cnf(c_0_11,plain,
( ap(c_2Einteger__word_2Ei2w(X1),ap(c_2Einteger__word_2Ew2i(X1),X2)) = X2
| ~ mem(X2,ty_2Efcp_2Ecart(bool,X1))
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( ap(c_2Einteger__word_2Ew2i(X1),ap(c_2Ewords_2En2w(X1),c_2Enum_2E0)) = ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,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_14,plain,
( mem(c_2Ewords_2En2w(X1),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,X1)))
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_15,negated_conjecture,
( ne(esk1_0)
& ap(c_2Einteger__word_2Ei2w(esk1_0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) != ap(c_2Ewords_2En2w(esk1_0),c_2Enum_2E0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
cnf(c_0_16,plain,
( ap(c_2Einteger__word_2Ei2w(X1),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Ewords_2En2w(X1),c_2Enum_2E0)
| ~ mem(ap(c_2Ewords_2En2w(X1),c_2Enum_2E0),ty_2Efcp_2Ecart(bool,X1))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
( mem(ap(c_2Ewords_2En2w(X1),X2),ty_2Efcp_2Ecart(bool,X1))
| ~ mem(X2,ty_2Enum_2Enum)
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
mem(c_2Enum_2E0,ty_2Enum_2Enum),
inference(split_conjunct,[status(thm)],[mem_c_2Enum_2E0]) ).
cnf(c_0_19,negated_conjecture,
ap(c_2Einteger__word_2Ei2w(esk1_0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) != ap(c_2Ewords_2En2w(esk1_0),c_2Enum_2E0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( ap(c_2Einteger__word_2Ei2w(X1),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Ewords_2En2w(X1),c_2Enum_2E0)
| ~ ne(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_21,negated_conjecture,
ne(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP015+5 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.13/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 3 12:48:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.99/25.03 eprover: CPU time limit exceeded, terminating
% 1.99/25.03 eprover: CPU time limit exceeded, terminating
% 1.99/25.03 eprover: CPU time limit exceeded, terminating
% 1.99/25.05 eprover: CPU time limit exceeded, terminating
% 2.03/31.21 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 2.03/31.21
% 2.03/31.21 # Failure: Resource limit exceeded (time)
% 2.03/31.21 # OLD status Res
% 2.03/31.21 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 2.03/31.21 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 2.03/31.21 # Preprocessing time : 1.044 s
% 2.03/31.21
% 2.03/31.21 # Proof found!
% 2.03/31.21 # SZS status Theorem
% 2.03/31.21 # SZS output start CNFRefutation
% See solution above
% 2.03/31.21 # Proof object total steps : 23
% 2.03/31.21 # Proof object clause steps : 11
% 2.03/31.21 # Proof object formula steps : 12
% 2.03/31.21 # Proof object conjectures : 6
% 2.03/31.21 # Proof object clause conjectures : 3
% 2.03/31.21 # Proof object formula conjectures : 3
% 2.03/31.21 # Proof object initial clauses used : 7
% 2.03/31.21 # Proof object initial formulas used : 6
% 2.03/31.21 # Proof object generating inferences : 4
% 2.03/31.21 # Proof object simplifying inferences : 4
% 2.03/31.21 # Training examples: 0 positive, 0 negative
% 2.03/31.21 # Parsed axioms : 13634
% 2.03/31.21 # Removed by relevancy pruning/SinE : 12839
% 2.03/31.21 # Initial clauses : 3018
% 2.03/31.21 # Removed in clause preprocessing : 922
% 2.03/31.21 # Initial clauses in saturation : 2096
% 2.03/31.21 # Processed clauses : 2164
% 2.03/31.21 # ...of these trivial : 2
% 2.03/31.21 # ...subsumed : 215
% 2.03/31.21 # ...remaining for further processing : 1947
% 2.03/31.21 # Other redundant clauses eliminated : 172
% 2.03/31.21 # Clauses deleted for lack of memory : 52176
% 2.03/31.21 # Backward-subsumed : 1
% 2.03/31.21 # Backward-rewritten : 0
% 2.03/31.21 # Generated clauses : 146164
% 2.03/31.21 # ...of the previous two non-trivial : 145440
% 2.03/31.21 # Contextual simplify-reflections : 139
% 2.03/31.21 # Paramodulations : 145948
% 2.03/31.21 # Factorizations : 0
% 2.03/31.21 # Equation resolutions : 220
% 2.03/31.21 # Current number of processed clauses : 1919
% 2.03/31.21 # Positive orientable unit clauses : 66
% 2.03/31.21 # Positive unorientable unit clauses: 0
% 2.03/31.21 # Negative unit clauses : 3
% 2.03/31.21 # Non-unit-clauses : 1850
% 2.03/31.21 # Current number of unprocessed clauses: 93194
% 2.03/31.21 # ...number of literals in the above : 807737
% 2.03/31.21 # Current number of archived formulas : 0
% 2.03/31.21 # Current number of archived clauses : 1
% 2.03/31.21 # Clause-clause subsumption calls (NU) : 778363
% 2.03/31.21 # Rec. Clause-clause subsumption calls : 21459
% 2.03/31.21 # Non-unit clause-clause subsumptions : 355
% 2.03/31.21 # Unit Clause-clause subsumption calls : 201
% 2.03/31.21 # Rewrite failures with RHS unbound : 0
% 2.03/31.21 # BW rewrite match attempts : 269
% 2.03/31.21 # BW rewrite match successes : 0
% 2.03/31.21 # Condensation attempts : 0
% 2.03/31.21 # Condensation successes : 0
% 2.03/31.21 # Termbank termtop insertions : 8414678
% 2.03/31.21
% 2.03/31.21 # -------------------------------------------------
% 2.03/31.21 # User time : 5.894 s
% 2.03/31.21 # System time : 0.101 s
% 2.03/31.21 # Total time : 5.995 s
% 2.03/31.21 # Maximum resident set size: 169476 pages
% 2.03/48.05 eprover: CPU time limit exceeded, terminating
% 2.03/48.05 eprover: CPU time limit exceeded, terminating
% 2.03/48.07 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.03/48.07 eprover: No such file or directory
% 2.03/48.07 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.03/48.07 eprover: No such file or directory
% 2.03/48.07 eprover: CPU time limit exceeded, terminating
% 2.03/48.08 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.03/48.08 eprover: No such file or directory
% 2.03/48.08 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.03/48.08 eprover: No such file or directory
% 2.03/48.08 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.03/48.08 eprover: No such file or directory
% 2.03/48.09 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.03/48.09 eprover: No such file or directory
% 2.03/48.09 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.03/48.09 eprover: No such file or directory
% 2.03/48.09 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.03/48.09 eprover: No such file or directory
% 2.03/48.10 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.03/48.10 eprover: No such file or directory
% 2.03/48.10 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.03/48.10 eprover: No such file or directory
% 2.03/48.10 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.03/48.10 eprover: No such file or directory
% 2.03/48.10 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.03/48.10 eprover: No such file or directory
% 2.03/48.10 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.03/48.10 eprover: No such file or directory
% 2.03/48.11 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.03/48.11 eprover: No such file or directory
% 2.03/48.11 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.03/48.11 eprover: No such file or directory
% 2.03/48.11 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.03/48.11 eprover: No such file or directory
% 2.03/48.11 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.03/48.11 eprover: No such file or directory
% 2.03/48.11 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.03/48.11 eprover: No such file or directory
% 2.03/48.11 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.03/48.11 eprover: No such file or directory
% 2.03/48.11 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.03/48.11 eprover: No such file or directory
% 2.03/48.12 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.03/48.12 eprover: No such file or directory
% 2.03/48.12 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.03/48.12 eprover: No such file or directory
% 2.03/48.12 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.03/48.12 eprover: No such file or directory
% 2.03/48.12 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.03/48.12 eprover: No such file or directory
% 2.03/48.12 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.03/48.12 eprover: No such file or directory
% 2.03/48.12 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.03/48.12 eprover: No such file or directory
% 2.03/48.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.03/48.13 eprover: No such file or directory
% 2.03/48.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.03/48.13 eprover: No such file or directory
% 2.03/48.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.03/48.13 eprover: No such file or directory
% 2.03/48.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.03/48.13 eprover: No such file or directory
%------------------------------------------------------------------------------