TSTP Solution File: SET776+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET776+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.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 00:14:05 EDT 2022
% Result : Theorem 7.20s 2.42s
% Output : CNFRefutation 7.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of clauses : 32 ( 22 unt; 0 nHn; 32 RR)
% Number of literals : 71 ( 0 equ; 43 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_80,negated_conjecture,
( apply(esk16_0,X1,X2)
| ~ member(X2,esk15_0)
| ~ member(X1,esk15_0)
| ~ apply(esk17_0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t4hsdywc/input.p',i_0_80) ).
cnf(i_0_72,negated_conjecture,
apply(esk17_0,esk19_0,esk21_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t4hsdywc/input.p',i_0_72) ).
cnf(i_0_74,negated_conjecture,
member(esk21_0,esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t4hsdywc/input.p',i_0_74) ).
cnf(i_0_76,negated_conjecture,
member(esk19_0,esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t4hsdywc/input.p',i_0_76) ).
cnf(i_0_57,plain,
( apply(X1,X2,X3)
| ~ member(X3,X4)
| ~ member(X5,X4)
| ~ member(X2,X4)
| ~ pre_order(X1,X4)
| ~ apply(X1,X5,X3)
| ~ apply(X1,X2,X5) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t4hsdywc/input.p',i_0_57) ).
cnf(i_0_81,negated_conjecture,
pre_order(esk16_0,esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t4hsdywc/input.p',i_0_81) ).
cnf(i_0_71,negated_conjecture,
apply(esk16_0,esk18_0,esk19_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t4hsdywc/input.p',i_0_71) ).
cnf(i_0_79,negated_conjecture,
( apply(esk16_0,X1,X2)
| ~ member(X2,esk15_0)
| ~ member(X1,esk15_0)
| ~ apply(esk17_0,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t4hsdywc/input.p',i_0_79) ).
cnf(i_0_73,negated_conjecture,
apply(esk17_0,esk18_0,esk20_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t4hsdywc/input.p',i_0_73) ).
cnf(i_0_77,negated_conjecture,
member(esk18_0,esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t4hsdywc/input.p',i_0_77) ).
cnf(i_0_75,negated_conjecture,
member(esk20_0,esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t4hsdywc/input.p',i_0_75) ).
cnf(i_0_70,negated_conjecture,
~ apply(esk16_0,esk20_0,esk21_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t4hsdywc/input.p',i_0_70) ).
cnf(c_0_94,negated_conjecture,
( apply(esk16_0,X1,X2)
| ~ member(X2,esk15_0)
| ~ member(X1,esk15_0)
| ~ apply(esk17_0,X1,X2) ),
i_0_80 ).
cnf(c_0_95,negated_conjecture,
apply(esk17_0,esk19_0,esk21_0),
i_0_72 ).
cnf(c_0_96,negated_conjecture,
member(esk21_0,esk15_0),
i_0_74 ).
cnf(c_0_97,negated_conjecture,
member(esk19_0,esk15_0),
i_0_76 ).
cnf(c_0_98,plain,
( apply(X1,X2,X3)
| ~ member(X3,X4)
| ~ member(X5,X4)
| ~ member(X2,X4)
| ~ pre_order(X1,X4)
| ~ apply(X1,X5,X3)
| ~ apply(X1,X2,X5) ),
i_0_57 ).
cnf(c_0_99,negated_conjecture,
apply(esk16_0,esk19_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]),c_0_97])]) ).
cnf(c_0_100,plain,
( apply(esk16_0,X1,esk21_0)
| ~ apply(esk16_0,X1,esk19_0)
| ~ pre_order(esk16_0,X2)
| ~ member(esk19_0,X2)
| ~ member(esk21_0,X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_101,negated_conjecture,
pre_order(esk16_0,esk15_0),
i_0_81 ).
cnf(c_0_102,negated_conjecture,
apply(esk16_0,esk18_0,esk19_0),
i_0_71 ).
cnf(c_0_103,negated_conjecture,
( apply(esk16_0,X1,X2)
| ~ member(X2,esk15_0)
| ~ member(X1,esk15_0)
| ~ apply(esk17_0,X2,X1) ),
i_0_79 ).
cnf(c_0_104,negated_conjecture,
apply(esk17_0,esk18_0,esk20_0),
i_0_73 ).
cnf(c_0_105,negated_conjecture,
member(esk18_0,esk15_0),
i_0_77 ).
cnf(c_0_106,negated_conjecture,
member(esk20_0,esk15_0),
i_0_75 ).
cnf(c_0_107,negated_conjecture,
~ apply(esk16_0,esk20_0,esk21_0),
i_0_70 ).
cnf(c_0_108,negated_conjecture,
( apply(esk16_0,X1,esk21_0)
| ~ apply(esk16_0,X1,esk19_0)
| ~ member(X1,esk15_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_97]),c_0_96])]) ).
cnf(c_0_109,negated_conjecture,
( apply(esk16_0,X1,esk19_0)
| ~ apply(esk16_0,X1,esk18_0)
| ~ pre_order(esk16_0,X2)
| ~ member(esk18_0,X2)
| ~ member(esk19_0,X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_98,c_0_102]) ).
cnf(c_0_110,negated_conjecture,
apply(esk16_0,esk20_0,esk18_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]),c_0_106])]) ).
cnf(c_0_111,negated_conjecture,
~ apply(esk16_0,esk20_0,esk19_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_106])]) ).
cnf(c_0_112,negated_conjecture,
( ~ pre_order(esk16_0,X1)
| ~ member(esk18_0,X1)
| ~ member(esk19_0,X1)
| ~ member(esk20_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]) ).
cnf(c_0_113,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_101]),c_0_105]),c_0_97]),c_0_106])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET776+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n007.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 : Mon Jul 11 08:24:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected SinE mode:
% 0.19/0.46 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.20/2.42 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 7.20/2.42 # Version: 2.1pre011
% 7.20/2.42 # Preprocessing time : 0.012 s
% 7.20/2.42
% 7.20/2.42 # Proof found!
% 7.20/2.42 # SZS status Theorem
% 7.20/2.42 # SZS output start CNFRefutation
% See solution above
% 7.20/2.42 # Proof object total steps : 32
% 7.20/2.42 # Proof object clause steps : 20
% 7.20/2.42 # Proof object formula steps : 12
% 7.20/2.42 # Proof object conjectures : 29
% 7.20/2.42 # Proof object clause conjectures : 18
% 7.20/2.42 # Proof object formula conjectures : 11
% 7.20/2.42 # Proof object initial clauses used : 12
% 7.20/2.42 # Proof object initial formulas used : 12
% 7.20/2.42 # Proof object generating inferences : 8
% 7.20/2.42 # Proof object simplifying inferences : 16
% 7.20/2.42 # Training examples: 0 positive, 0 negative
% 7.20/2.42 # Parsed axioms : 138
% 7.20/2.42 # Removed by relevancy pruning/SinE : 0
% 7.20/2.42 # Initial clauses : 138
% 7.20/2.42 # Removed in clause preprocessing : 0
% 7.20/2.42 # Initial clauses in saturation : 138
% 7.20/2.42 # Processed clauses : 256
% 7.20/2.42 # ...of these trivial : 10
% 7.20/2.42 # ...subsumed : 14
% 7.20/2.42 # ...remaining for further processing : 232
% 7.20/2.42 # Other redundant clauses eliminated : 7
% 7.20/2.42 # Clauses deleted for lack of memory : 0
% 7.20/2.42 # Backward-subsumed : 0
% 7.20/2.42 # Backward-rewritten : 0
% 7.20/2.42 # Generated clauses : 1783
% 7.20/2.42 # ...of the previous two non-trivial : 1741
% 7.20/2.42 # Contextual simplify-reflections : 3
% 7.20/2.42 # Paramodulations : 1772
% 7.20/2.42 # Factorizations : 4
% 7.20/2.42 # Equation resolutions : 7
% 7.20/2.42 # Propositional unsat checks : 0
% 7.20/2.42 # Propositional unsat check successes : 0
% 7.20/2.42 # Current number of processed clauses : 229
% 7.20/2.42 # Positive orientable unit clauses : 32
% 7.20/2.42 # Positive unorientable unit clauses: 0
% 7.20/2.42 # Negative unit clauses : 28
% 7.20/2.42 # Non-unit-clauses : 169
% 7.20/2.42 # Current number of unprocessed clauses: 1622
% 7.20/2.42 # ...number of literals in the above : 4586
% 7.20/2.42 # Current number of archived formulas : 0
% 7.20/2.42 # Current number of archived clauses : 0
% 7.20/2.42 # Clause-clause subsumption calls (NU) : 7521
% 7.20/2.42 # Rec. Clause-clause subsumption calls : 2651
% 7.20/2.42 # Non-unit clause-clause subsumptions : 9
% 7.20/2.42 # Unit Clause-clause subsumption calls : 1361
% 7.20/2.42 # Rewrite failures with RHS unbound : 0
% 7.20/2.42 # BW rewrite match attempts : 19
% 7.20/2.42 # BW rewrite match successes : 0
% 7.20/2.42 # Condensation attempts : 0
% 7.20/2.42 # Condensation successes : 0
% 7.20/2.42 # Termbank termtop insertions : 24731
% 7.20/2.42
% 7.20/2.42 # -------------------------------------------------
% 7.20/2.42 # User time : 0.033 s
% 7.20/2.42 # System time : 0.004 s
% 7.20/2.42 # Total time : 0.037 s
% 7.20/2.42 # ...preprocessing : 0.012 s
% 7.20/2.42 # ...main loop : 0.025 s
% 7.20/2.42 # Maximum resident set size: 7132 pages
% 7.20/2.42
%------------------------------------------------------------------------------