TSTP Solution File: ITP023+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ITP023+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.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 22:34:24 EDT 2022
% Result : Theorem 10.51s 3.08s
% Output : CNFRefutation 10.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of clauses : 30 ( 13 unt; 0 nHn; 30 RR)
% Number of literals : 72 ( 0 equ; 44 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_57,plain,
( p(ap(c_2Ereal__topology_2Ebounded__def,X1))
| ~ p(ap(c_2Ereal__topology_2Ebounded__def,X2))
| ~ mem(X2,arr(ty_2Erealax_2Ereal,bool))
| ~ mem(X1,arr(ty_2Erealax_2Ereal,bool))
| ~ p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),X1),X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rbv286hp/input.p',i_0_57) ).
cnf(i_0_52,plain,
( p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X1),X2))),ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X1),X2))))
| ~ mem(X2,ty_2Erealax_2Ereal)
| ~ mem(X1,ty_2Erealax_2Ereal) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rbv286hp/input.p',i_0_52) ).
cnf(i_0_56,plain,
( p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X1),X2))))
| ~ mem(X2,ty_2Erealax_2Ereal)
| ~ mem(X1,ty_2Erealax_2Ereal) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rbv286hp/input.p',i_0_56) ).
cnf(i_0_1,plain,
( mem(ap(X1,X2),X3)
| ~ mem(X2,X4)
| ~ mem(X1,arr(X4,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rbv286hp/input.p',i_0_1) ).
cnf(i_0_122,plain,
mem(c_2Ereal__topology_2Ecball,arr(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),arr(ty_2Erealax_2Ereal,bool))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rbv286hp/input.p',i_0_122) ).
cnf(i_0_120,plain,
mem(c_2Ereal__topology_2Eball,arr(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),arr(ty_2Erealax_2Ereal,bool))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rbv286hp/input.p',i_0_120) ).
cnf(i_0_118,plain,
( mem(c_2Epair_2E_2C(X1,X2),arr(X1,arr(X2,ty_2Epair_2Eprod(X1,X2))))
| ~ ne(X2)
| ~ ne(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rbv286hp/input.p',i_0_118) ).
cnf(i_0_124,plain,
ne(ty_2Erealax_2Ereal),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rbv286hp/input.p',i_0_124) ).
cnf(i_0_53,negated_conjecture,
~ p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),esk5_0),esk6_0)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rbv286hp/input.p',i_0_53) ).
cnf(i_0_54,negated_conjecture,
mem(esk6_0,ty_2Erealax_2Ereal),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rbv286hp/input.p',i_0_54) ).
cnf(i_0_55,negated_conjecture,
mem(esk5_0,ty_2Erealax_2Ereal),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rbv286hp/input.p',i_0_55) ).
cnf(c_0_136,plain,
( p(ap(c_2Ereal__topology_2Ebounded__def,X1))
| ~ p(ap(c_2Ereal__topology_2Ebounded__def,X2))
| ~ mem(X2,arr(ty_2Erealax_2Ereal,bool))
| ~ mem(X1,arr(ty_2Erealax_2Ereal,bool))
| ~ p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),X1),X2)) ),
i_0_57 ).
cnf(c_0_137,plain,
( p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X1),X2))),ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X1),X2))))
| ~ mem(X2,ty_2Erealax_2Ereal)
| ~ mem(X1,ty_2Erealax_2Ereal) ),
i_0_52 ).
cnf(c_0_138,plain,
( p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X1),X2))))
| ~ mem(X2,ty_2Erealax_2Ereal)
| ~ mem(X1,ty_2Erealax_2Ereal) ),
i_0_56 ).
cnf(c_0_139,plain,
( mem(ap(X1,X2),X3)
| ~ mem(X2,X4)
| ~ mem(X1,arr(X4,X3)) ),
i_0_1 ).
cnf(c_0_140,plain,
mem(c_2Ereal__topology_2Ecball,arr(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),arr(ty_2Erealax_2Ereal,bool))),
i_0_122 ).
cnf(c_0_141,plain,
mem(c_2Ereal__topology_2Eball,arr(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),arr(ty_2Erealax_2Ereal,bool))),
i_0_120 ).
cnf(c_0_142,plain,
( mem(c_2Epair_2E_2C(X1,X2),arr(X1,arr(X2,ty_2Epair_2Eprod(X1,X2))))
| ~ ne(X2)
| ~ ne(X1) ),
i_0_118 ).
cnf(c_0_143,plain,
( p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X1),X2))))
| ~ mem(ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X1),X2)),arr(ty_2Erealax_2Ereal,bool))
| ~ mem(ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X1),X2)),arr(ty_2Erealax_2Ereal,bool))
| ~ mem(X2,ty_2Erealax_2Ereal)
| ~ mem(X1,ty_2Erealax_2Ereal) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).
cnf(c_0_144,plain,
( mem(ap(c_2Ereal__topology_2Ecball,X1),arr(ty_2Erealax_2Ereal,bool))
| ~ mem(X1,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_145,plain,
( mem(ap(c_2Ereal__topology_2Eball,X1),arr(ty_2Erealax_2Ereal,bool))
| ~ mem(X1,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(spm,[status(thm)],[c_0_139,c_0_141]) ).
cnf(c_0_146,plain,
( mem(ap(c_2Epair_2E_2C(X1,X2),X3),arr(X2,ty_2Epair_2Eprod(X1,X2)))
| ~ mem(X3,X1)
| ~ ne(X2)
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_139,c_0_142]) ).
cnf(c_0_147,plain,
( p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X1),X2))))
| ~ mem(ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X1),X2),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| ~ mem(X2,ty_2Erealax_2Ereal)
| ~ mem(X1,ty_2Erealax_2Ereal) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145]) ).
cnf(c_0_148,plain,
( mem(ap(ap(c_2Epair_2E_2C(X1,X2),X3),X4),ty_2Epair_2Eprod(X1,X2))
| ~ mem(X4,X2)
| ~ mem(X3,X1)
| ~ ne(X2)
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_139,c_0_146]) ).
cnf(c_0_149,plain,
ne(ty_2Erealax_2Ereal),
i_0_124 ).
cnf(c_0_150,negated_conjecture,
~ p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),esk5_0),esk6_0)))),
i_0_53 ).
cnf(c_0_151,plain,
( p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X1),X2))))
| ~ mem(X2,ty_2Erealax_2Ereal)
| ~ mem(X1,ty_2Erealax_2Ereal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149])]) ).
cnf(c_0_152,negated_conjecture,
mem(esk6_0,ty_2Erealax_2Ereal),
i_0_54 ).
cnf(c_0_153,negated_conjecture,
mem(esk5_0,ty_2Erealax_2Ereal),
i_0_55 ).
cnf(c_0_154,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]),c_0_153])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ITP023+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.00/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.09/0.30 % Computer : n022.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 600
% 0.09/0.30 % DateTime : Thu Jun 2 16:03:23 EDT 2022
% 0.09/0.31 % CPUTime :
% 0.15/0.40 # ENIGMATIC: Selected SinE mode:
% 0.15/0.41 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.15/0.41 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.15/0.41 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.51/3.08 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 10.51/3.08 # Version: 2.1pre011
% 10.51/3.08 # Preprocessing time : 0.020 s
% 10.51/3.08
% 10.51/3.08 # Proof found!
% 10.51/3.08 # SZS status Theorem
% 10.51/3.08 # SZS output start CNFRefutation
% See solution above
% 10.51/3.08 # Proof object total steps : 30
% 10.51/3.08 # Proof object clause steps : 19
% 10.51/3.08 # Proof object formula steps : 11
% 10.51/3.08 # Proof object conjectures : 7
% 10.51/3.08 # Proof object clause conjectures : 4
% 10.51/3.08 # Proof object formula conjectures : 3
% 10.51/3.08 # Proof object initial clauses used : 11
% 10.51/3.08 # Proof object initial formulas used : 11
% 10.51/3.08 # Proof object generating inferences : 8
% 10.51/3.08 # Proof object simplifying inferences : 7
% 10.51/3.08 # Training examples: 0 positive, 0 negative
% 10.51/3.08 # Parsed axioms : 88
% 10.51/3.08 # Removed by relevancy pruning/SinE : 0
% 10.51/3.08 # Initial clauses : 88
% 10.51/3.08 # Removed in clause preprocessing : 0
% 10.51/3.08 # Initial clauses in saturation : 88
% 10.51/3.08 # Processed clauses : 541
% 10.51/3.08 # ...of these trivial : 0
% 10.51/3.08 # ...subsumed : 216
% 10.51/3.08 # ...remaining for further processing : 325
% 10.51/3.08 # Other redundant clauses eliminated : 3
% 10.51/3.08 # Clauses deleted for lack of memory : 0
% 10.51/3.08 # Backward-subsumed : 12
% 10.51/3.08 # Backward-rewritten : 13
% 10.51/3.08 # Generated clauses : 2136
% 10.51/3.08 # ...of the previous two non-trivial : 1974
% 10.51/3.08 # Contextual simplify-reflections : 130
% 10.51/3.08 # Paramodulations : 2123
% 10.51/3.08 # Factorizations : 9
% 10.51/3.08 # Equation resolutions : 4
% 10.51/3.08 # Propositional unsat checks : 0
% 10.51/3.08 # Propositional unsat check successes : 0
% 10.51/3.08 # Current number of processed clauses : 299
% 10.51/3.08 # Positive orientable unit clauses : 18
% 10.51/3.08 # Positive unorientable unit clauses: 0
% 10.51/3.08 # Negative unit clauses : 3
% 10.51/3.08 # Non-unit-clauses : 278
% 10.51/3.08 # Current number of unprocessed clauses: 1439
% 10.51/3.08 # ...number of literals in the above : 9668
% 10.51/3.08 # Current number of archived formulas : 0
% 10.51/3.08 # Current number of archived clauses : 25
% 10.51/3.08 # Clause-clause subsumption calls (NU) : 26087
% 10.51/3.08 # Rec. Clause-clause subsumption calls : 4033
% 10.51/3.08 # Non-unit clause-clause subsumptions : 219
% 10.51/3.08 # Unit Clause-clause subsumption calls : 101
% 10.51/3.08 # Rewrite failures with RHS unbound : 0
% 10.51/3.08 # BW rewrite match attempts : 5
% 10.51/3.08 # BW rewrite match successes : 3
% 10.51/3.08 # Condensation attempts : 0
% 10.51/3.08 # Condensation successes : 0
% 10.51/3.08 # Termbank termtop insertions : 67137
% 10.51/3.08
% 10.51/3.08 # -------------------------------------------------
% 10.51/3.08 # User time : 0.113 s
% 10.51/3.08 # System time : 0.005 s
% 10.51/3.08 # Total time : 0.118 s
% 10.51/3.08 # ...preprocessing : 0.020 s
% 10.51/3.08 # ...main loop : 0.098 s
% 10.51/3.08 # Maximum resident set size: 7128 pages
% 10.51/3.08
%------------------------------------------------------------------------------