TSTP Solution File: SET799+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET799+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.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 00:14:15 EDT 2022
% Result : Theorem 7.79s 2.38s
% Output : CNFRefutation 7.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 22 ( 12 unt; 0 nHn; 22 RR)
% Number of literals : 36 ( 0 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 32 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_29,plain,
( upper_bound(X1,X2,X3)
| ~ least_upper_bound(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-166qyny6/input.p',i_0_29) ).
cnf(i_0_60,negated_conjecture,
least_upper_bound(esk16_0,esk14_0,esk11_0,esk12_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-166qyny6/input.p',i_0_60) ).
cnf(i_0_80,plain,
( apply(X1,X2,X3)
| ~ member(X2,X4)
| ~ upper_bound(X3,X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-166qyny6/input.p',i_0_80) ).
cnf(i_0_59,negated_conjecture,
~ apply(esk11_0,esk15_0,esk16_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-166qyny6/input.p',i_0_59) ).
cnf(i_0_55,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-166qyny6/input.p',i_0_55) ).
cnf(i_0_62,negated_conjecture,
subset(esk13_0,esk14_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-166qyny6/input.p',i_0_62) ).
cnf(i_0_30,plain,
( member(X1,X2)
| ~ least_upper_bound(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-166qyny6/input.p',i_0_30) ).
cnf(i_0_61,negated_conjecture,
least_upper_bound(esk15_0,esk13_0,esk11_0,esk12_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-166qyny6/input.p',i_0_61) ).
cnf(c_0_89,plain,
( upper_bound(X1,X2,X3)
| ~ least_upper_bound(X1,X3,X2,X4) ),
i_0_29 ).
cnf(c_0_90,negated_conjecture,
least_upper_bound(esk16_0,esk14_0,esk11_0,esk12_0),
i_0_60 ).
cnf(c_0_91,plain,
( apply(X1,X2,X3)
| ~ member(X2,X4)
| ~ upper_bound(X3,X1,X4) ),
i_0_80 ).
cnf(c_0_92,negated_conjecture,
upper_bound(esk16_0,esk11_0,esk14_0),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_93,negated_conjecture,
~ apply(esk11_0,esk15_0,esk16_0),
i_0_59 ).
cnf(c_0_94,plain,
( apply(esk11_0,X1,esk16_0)
| ~ member(X1,esk14_0) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_95,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
i_0_55 ).
cnf(c_0_96,negated_conjecture,
subset(esk13_0,esk14_0),
i_0_62 ).
cnf(c_0_97,plain,
( member(X1,X2)
| ~ least_upper_bound(X1,X2,X3,X4) ),
i_0_30 ).
cnf(c_0_98,negated_conjecture,
least_upper_bound(esk15_0,esk13_0,esk11_0,esk12_0),
i_0_61 ).
cnf(c_0_99,negated_conjecture,
~ member(esk15_0,esk14_0),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_100,negated_conjecture,
( member(X1,esk14_0)
| ~ member(X1,esk13_0) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_101,negated_conjecture,
member(esk15_0,esk13_0),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_102,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET799+4 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 07:28:40 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.44 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.44 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.44 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.79/2.38 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 7.79/2.38 # Version: 2.1pre011
% 7.79/2.38 # Preprocessing time : 0.013 s
% 7.79/2.38
% 7.79/2.38 # Proof found!
% 7.79/2.38 # SZS status Theorem
% 7.79/2.38 # SZS output start CNFRefutation
% See solution above
% 7.79/2.38 # Proof object total steps : 22
% 7.79/2.38 # Proof object clause steps : 14
% 7.79/2.38 # Proof object formula steps : 8
% 7.79/2.38 # Proof object conjectures : 13
% 7.79/2.38 # Proof object clause conjectures : 9
% 7.79/2.38 # Proof object formula conjectures : 4
% 7.79/2.38 # Proof object initial clauses used : 8
% 7.79/2.38 # Proof object initial formulas used : 8
% 7.79/2.38 # Proof object generating inferences : 6
% 7.79/2.38 # Proof object simplifying inferences : 2
% 7.79/2.38 # Training examples: 0 positive, 0 negative
% 7.79/2.38 # Parsed axioms : 143
% 7.79/2.38 # Removed by relevancy pruning/SinE : 0
% 7.79/2.38 # Initial clauses : 143
% 7.79/2.38 # Removed in clause preprocessing : 0
% 7.79/2.38 # Initial clauses in saturation : 143
% 7.79/2.38 # Processed clauses : 179
% 7.79/2.38 # ...of these trivial : 5
% 7.79/2.38 # ...subsumed : 2
% 7.79/2.38 # ...remaining for further processing : 172
% 7.79/2.38 # Other redundant clauses eliminated : 3
% 7.79/2.38 # Clauses deleted for lack of memory : 0
% 7.79/2.38 # Backward-subsumed : 0
% 7.79/2.38 # Backward-rewritten : 0
% 7.79/2.38 # Generated clauses : 543
% 7.79/2.38 # ...of the previous two non-trivial : 527
% 7.79/2.38 # Contextual simplify-reflections : 0
% 7.79/2.38 # Paramodulations : 540
% 7.79/2.38 # Factorizations : 0
% 7.79/2.38 # Equation resolutions : 3
% 7.79/2.38 # Propositional unsat checks : 0
% 7.79/2.38 # Propositional unsat check successes : 0
% 7.79/2.38 # Current number of processed clauses : 169
% 7.79/2.38 # Positive orientable unit clauses : 19
% 7.79/2.38 # Positive unorientable unit clauses: 0
% 7.79/2.38 # Negative unit clauses : 9
% 7.79/2.38 # Non-unit-clauses : 141
% 7.79/2.38 # Current number of unprocessed clauses: 488
% 7.79/2.38 # ...number of literals in the above : 1797
% 7.79/2.38 # Current number of archived formulas : 0
% 7.79/2.38 # Current number of archived clauses : 0
% 7.79/2.38 # Clause-clause subsumption calls (NU) : 6874
% 7.79/2.38 # Rec. Clause-clause subsumption calls : 3358
% 7.79/2.38 # Non-unit clause-clause subsumptions : 0
% 7.79/2.38 # Unit Clause-clause subsumption calls : 923
% 7.79/2.38 # Rewrite failures with RHS unbound : 0
% 7.79/2.38 # BW rewrite match attempts : 16
% 7.79/2.38 # BW rewrite match successes : 0
% 7.79/2.38 # Condensation attempts : 0
% 7.79/2.38 # Condensation successes : 0
% 7.79/2.38 # Termbank termtop insertions : 11186
% 7.79/2.38
% 7.79/2.38 # -------------------------------------------------
% 7.79/2.38 # User time : 0.019 s
% 7.79/2.38 # System time : 0.004 s
% 7.79/2.38 # Total time : 0.023 s
% 7.79/2.38 # ...preprocessing : 0.013 s
% 7.79/2.38 # ...main loop : 0.010 s
% 7.79/2.38 # Maximum resident set size: 7128 pages
% 7.79/2.38
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