TSTP Solution File: NUN059+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUN059+2 : TPTP v8.1.0. Bugfixed v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 : Mon Jul 18 16:24:52 EDT 2022
% Result : Theorem 6.89s 2.26s
% Output : CNFRefutation 6.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 26 ( 19 unt; 0 nHn; 9 RR)
% Number of literals : 42 ( 7 equ; 22 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 50 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_40,negated_conjecture,
( X1 != X2
| ~ r3(X3,X4,X2)
| ~ r4(X5,X5,X3)
| ~ r4(X6,X6,X4)
| ~ r4(X7,X7,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hbkw9qup/input.p',i_0_40) ).
cnf(i_0_8,plain,
( X1 = esk5_0
| ~ r1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hbkw9qup/input.p',i_0_8) ).
cnf(i_0_26,plain,
r1(esk13_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hbkw9qup/input.p',i_0_26) ).
cnf(i_0_10,plain,
r4(X1,X2,esk9_2(X1,X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hbkw9qup/input.p',i_0_10) ).
cnf(i_0_25,plain,
r3(X1,esk13_1(X1),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hbkw9qup/input.p',i_0_25) ).
cnf(i_0_32,plain,
r1(esk15_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hbkw9qup/input.p',i_0_32) ).
cnf(i_0_34,plain,
r1(esk16_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hbkw9qup/input.p',i_0_34) ).
cnf(i_0_33,plain,
r4(X1,esk16_1(X1),esk15_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hbkw9qup/input.p',i_0_33) ).
cnf(c_0_49,negated_conjecture,
( X1 != X2
| ~ r3(X3,X4,X2)
| ~ r4(X5,X5,X3)
| ~ r4(X6,X6,X4)
| ~ r4(X7,X7,X1) ),
i_0_40 ).
cnf(c_0_50,plain,
( X1 = esk5_0
| ~ r1(X1) ),
i_0_8 ).
cnf(c_0_51,plain,
r1(esk13_1(X1)),
i_0_26 ).
cnf(c_0_52,negated_conjecture,
( ~ r4(X1,X1,X2)
| ~ r4(X3,X3,X4)
| ~ r4(X5,X5,X6)
| ~ r3(X6,X4,X2) ),
inference(er,[status(thm)],[c_0_49]) ).
cnf(c_0_53,plain,
r4(X1,X2,esk9_2(X1,X2)),
i_0_10 ).
cnf(c_0_54,plain,
r3(X1,esk13_1(X1),X1),
i_0_25 ).
cnf(c_0_55,plain,
esk13_1(X1) = esk5_0,
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,plain,
( ~ r4(X1,X1,X2)
| ~ r4(X3,X3,X4)
| ~ r3(X4,X2,esk9_2(X5,X5)) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_57,plain,
r3(X1,esk5_0,X1),
inference(rw,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_58,plain,
r1(esk15_1(X1)),
i_0_32 ).
cnf(c_0_59,plain,
r1(esk16_1(X1)),
i_0_34 ).
cnf(c_0_60,plain,
( ~ r4(X1,X1,esk9_2(X2,X2))
| ~ r4(X3,X3,esk5_0) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_61,plain,
r4(X1,esk16_1(X1),esk15_1(X1)),
i_0_33 ).
cnf(c_0_62,plain,
esk15_1(X1) = esk5_0,
inference(spm,[status(thm)],[c_0_50,c_0_58]) ).
cnf(c_0_63,plain,
esk16_1(X1) = esk5_0,
inference(spm,[status(thm)],[c_0_50,c_0_59]) ).
cnf(c_0_64,plain,
~ r4(X1,X1,esk5_0),
inference(spm,[status(thm)],[c_0_60,c_0_53]) ).
cnf(c_0_65,plain,
r4(X1,esk5_0,esk5_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).
cnf(c_0_66,plain,
$false,
inference(spm,[status(thm)],[c_0_64,c_0_65]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN059+2 : TPTP v8.1.0. Bugfixed v7.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 2 07:59:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.44 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.44 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.44 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 6.89/2.26 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 6.89/2.26 # Version: 2.1pre011
% 6.89/2.26 # Preprocessing time : 0.010 s
% 6.89/2.26
% 6.89/2.26 # Proof found!
% 6.89/2.26 # SZS status Theorem
% 6.89/2.26 # SZS output start CNFRefutation
% See solution above
% 6.89/2.26 # Proof object total steps : 26
% 6.89/2.26 # Proof object clause steps : 18
% 6.89/2.26 # Proof object formula steps : 8
% 6.89/2.26 # Proof object conjectures : 3
% 6.89/2.26 # Proof object clause conjectures : 2
% 6.89/2.26 # Proof object formula conjectures : 1
% 6.89/2.26 # Proof object initial clauses used : 8
% 6.89/2.26 # Proof object initial formulas used : 8
% 6.89/2.26 # Proof object generating inferences : 7
% 6.89/2.26 # Proof object simplifying inferences : 4
% 6.89/2.26 # Training examples: 0 positive, 0 negative
% 6.89/2.26 # Parsed axioms : 28
% 6.89/2.26 # Removed by relevancy pruning/SinE : 0
% 6.89/2.26 # Initial clauses : 28
% 6.89/2.26 # Removed in clause preprocessing : 0
% 6.89/2.26 # Initial clauses in saturation : 28
% 6.89/2.26 # Processed clauses : 54
% 6.89/2.26 # ...of these trivial : 0
% 6.89/2.26 # ...subsumed : 0
% 6.89/2.26 # ...remaining for further processing : 54
% 6.89/2.26 # Other redundant clauses eliminated : 3
% 6.89/2.26 # Clauses deleted for lack of memory : 0
% 6.89/2.26 # Backward-subsumed : 0
% 6.89/2.26 # Backward-rewritten : 5
% 6.89/2.26 # Generated clauses : 60
% 6.89/2.26 # ...of the previous two non-trivial : 59
% 6.89/2.26 # Contextual simplify-reflections : 0
% 6.89/2.26 # Paramodulations : 54
% 6.89/2.26 # Factorizations : 0
% 6.89/2.26 # Equation resolutions : 6
% 6.89/2.26 # Propositional unsat checks : 0
% 6.89/2.26 # Propositional unsat check successes : 0
% 6.89/2.26 # Current number of processed clauses : 46
% 6.89/2.26 # Positive orientable unit clauses : 18
% 6.89/2.26 # Positive unorientable unit clauses: 0
% 6.89/2.26 # Negative unit clauses : 7
% 6.89/2.26 # Non-unit-clauses : 21
% 6.89/2.26 # Current number of unprocessed clauses: 30
% 6.89/2.26 # ...number of literals in the above : 55
% 6.89/2.26 # Current number of archived formulas : 0
% 6.89/2.26 # Current number of archived clauses : 5
% 6.89/2.26 # Clause-clause subsumption calls (NU) : 95
% 6.89/2.26 # Rec. Clause-clause subsumption calls : 63
% 6.89/2.26 # Non-unit clause-clause subsumptions : 0
% 6.89/2.26 # Unit Clause-clause subsumption calls : 75
% 6.89/2.26 # Rewrite failures with RHS unbound : 0
% 6.89/2.26 # BW rewrite match attempts : 22
% 6.89/2.26 # BW rewrite match successes : 3
% 6.89/2.26 # Condensation attempts : 0
% 6.89/2.26 # Condensation successes : 0
% 6.89/2.26 # Termbank termtop insertions : 882
% 6.89/2.26
% 6.89/2.26 # -------------------------------------------------
% 6.89/2.26 # User time : 0.006 s
% 6.89/2.26 # System time : 0.005 s
% 6.89/2.26 # Total time : 0.011 s
% 6.89/2.26 # ...preprocessing : 0.010 s
% 6.89/2.26 # ...main loop : 0.001 s
% 6.89/2.26 # Maximum resident set size: 7136 pages
% 6.89/2.26
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