TSTP Solution File: NUN059+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUN059+1 : TPTP v8.1.0. Bugfixed v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% 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 : Mon Jul 18 16:24:52 EDT 2022
% Result : Theorem 7.18s 2.22s
% Output : CNFRefutation 7.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of clauses : 79 ( 31 unt; 10 nHn; 47 RR)
% Number of literals : 169 ( 0 equ; 88 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-1 aty)
% Number of variables : 144 ( 19 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_49,plain,
( ~ r1(X1)
| ~ id(X1,X2)
| ~ r2(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y6z897uc/input.p',i_0_49) ).
cnf(i_0_46,plain,
( id(X1,esk18_1(X1))
| r2(esk19_1(X1),esk20_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y6z897uc/input.p',i_0_46) ).
cnf(i_0_44,plain,
( r1(esk18_1(X1))
| r2(esk19_1(X1),esk20_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y6z897uc/input.p',i_0_44) ).
cnf(i_0_47,plain,
( id(X1,esk18_1(X1))
| id(X1,esk20_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y6z897uc/input.p',i_0_47) ).
cnf(i_0_45,plain,
( r1(esk18_1(X1))
| id(X1,esk20_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y6z897uc/input.p',i_0_45) ).
cnf(i_0_52,plain,
( r1(X1)
| ~ r1(X2)
| ~ id(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y6z897uc/input.p',i_0_52) ).
cnf(i_0_40,plain,
id(esk15_1(X1),esk17_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y6z897uc/input.p',i_0_40) ).
cnf(i_0_39,plain,
r1(esk17_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y6z897uc/input.p',i_0_39) ).
cnf(i_0_48,plain,
( id(X1,X2)
| ~ id(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y6z897uc/input.p',i_0_48) ).
cnf(i_0_17,plain,
( id(X1,esk5_0)
| ~ r1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y6z897uc/input.p',i_0_17) ).
cnf(i_0_50,plain,
( id(X1,X2)
| ~ id(X3,X2)
| ~ id(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y6z897uc/input.p',i_0_50) ).
cnf(i_0_42,plain,
r1(esk16_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y6z897uc/input.p',i_0_42) ).
cnf(i_0_6,plain,
( r4(X1,X2,X3)
| ~ id(X3,X4)
| ~ id(X2,X5)
| ~ id(X1,X6)
| ~ r4(X6,X5,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y6z897uc/input.p',i_0_6) ).
cnf(i_0_41,plain,
r4(X1,esk16_1(X1),esk15_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y6z897uc/input.p',i_0_41) ).
cnf(i_0_53,plain,
( r1(X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y6z897uc/input.p',i_0_53) ).
cnf(i_0_34,plain,
id(esk12_1(X1),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y6z897uc/input.p',i_0_34) ).
cnf(i_0_2,plain,
( r3(X1,X2,X3)
| ~ id(X3,X4)
| ~ id(X2,X5)
| ~ id(X1,X6)
| ~ r3(X6,X5,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y6z897uc/input.p',i_0_2) ).
cnf(i_0_32,plain,
r3(X1,esk13_1(X1),esk12_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y6z897uc/input.p',i_0_32) ).
cnf(i_0_33,plain,
r1(esk13_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y6z897uc/input.p',i_0_33) ).
cnf(i_0_59,negated_conjecture,
( ~ id(X1,X2)
| ~ r3(X3,X4,X1)
| ~ r4(X5,X5,X3)
| ~ r4(X6,X6,X4)
| ~ r4(X7,X7,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y6z897uc/input.p',i_0_59) ).
cnf(c_0_80,plain,
( ~ r1(X1)
| ~ id(X1,X2)
| ~ r2(X3,X2) ),
i_0_49 ).
cnf(c_0_81,plain,
( id(X1,esk18_1(X1))
| r2(esk19_1(X1),esk20_1(X1)) ),
i_0_46 ).
cnf(c_0_82,plain,
( r1(esk18_1(X1))
| r2(esk19_1(X1),esk20_1(X1)) ),
i_0_44 ).
cnf(c_0_83,plain,
( id(X1,esk18_1(X1))
| ~ id(X2,esk20_1(X1))
| ~ r1(X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_84,plain,
( id(X1,esk18_1(X1))
| id(X1,esk20_1(X1)) ),
i_0_47 ).
cnf(c_0_85,plain,
( r1(esk18_1(X1))
| ~ id(X2,esk20_1(X1))
| ~ r1(X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_82]) ).
cnf(c_0_86,plain,
( r1(esk18_1(X1))
| id(X1,esk20_1(X1)) ),
i_0_45 ).
cnf(c_0_87,plain,
( r1(X1)
| ~ r1(X2)
| ~ id(X1,X2) ),
i_0_52 ).
cnf(c_0_88,plain,
id(esk15_1(X1),esk17_1(X1)),
i_0_40 ).
cnf(c_0_89,plain,
r1(esk17_1(X1)),
i_0_39 ).
cnf(c_0_90,plain,
( id(X1,X2)
| ~ id(X2,X1) ),
i_0_48 ).
cnf(c_0_91,plain,
( id(X1,esk18_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_92,plain,
( id(X1,esk5_0)
| ~ r1(X1) ),
i_0_17 ).
cnf(c_0_93,plain,
( r1(esk18_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_94,plain,
( id(X1,X2)
| ~ id(X3,X2)
| ~ id(X1,X3) ),
i_0_50 ).
cnf(c_0_95,plain,
r1(esk15_1(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89])]) ).
cnf(c_0_96,plain,
( id(esk18_1(X1),X1)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_97,plain,
( id(esk18_1(X1),esk5_0)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_98,plain,
( id(X1,esk20_1(X2))
| r1(esk18_1(X2))
| ~ id(X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_86]) ).
cnf(c_0_99,plain,
id(esk15_1(X1),esk5_0),
inference(spm,[status(thm)],[c_0_92,c_0_95]) ).
cnf(c_0_100,plain,
( id(X1,X2)
| ~ id(X1,esk18_1(X2))
| ~ r1(X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_96]) ).
cnf(c_0_101,plain,
( id(esk5_0,esk18_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_97]) ).
cnf(c_0_102,plain,
( id(esk15_1(X1),esk20_1(esk5_0))
| r1(esk18_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_103,plain,
r1(esk16_1(X1)),
i_0_42 ).
cnf(c_0_104,plain,
( r4(X1,X2,X3)
| ~ id(X3,X4)
| ~ id(X2,X5)
| ~ id(X1,X6)
| ~ r4(X6,X5,X4) ),
i_0_6 ).
cnf(c_0_105,plain,
r4(X1,esk16_1(X1),esk15_1(X1)),
i_0_41 ).
cnf(c_0_106,plain,
( r1(X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
i_0_53 ).
cnf(c_0_107,plain,
( id(X1,esk18_1(X2))
| ~ id(X1,X2)
| ~ r1(X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_91]) ).
cnf(c_0_108,plain,
( id(esk5_0,X1)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_109,plain,
r1(esk18_1(esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_102]),c_0_95])]) ).
cnf(c_0_110,plain,
id(esk16_1(X1),esk5_0),
inference(spm,[status(thm)],[c_0_92,c_0_103]) ).
cnf(c_0_111,plain,
( r4(X1,X2,X3)
| ~ id(X3,esk15_1(X4))
| ~ id(X2,esk16_1(X4))
| ~ id(X1,X4) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_112,plain,
id(esk5_0,esk15_1(X1)),
inference(spm,[status(thm)],[c_0_90,c_0_99]) ).
cnf(c_0_113,plain,
( r1(esk18_1(X1))
| ~ id(X2,X1)
| ~ r1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_106]) ).
cnf(c_0_114,plain,
id(esk5_0,esk18_1(esk5_0)),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_115,plain,
r1(esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_110]),c_0_103])]) ).
cnf(c_0_116,plain,
( r4(X1,X2,esk5_0)
| ~ id(X2,esk16_1(X3))
| ~ id(X1,X3) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_117,plain,
id(esk5_0,esk16_1(X1)),
inference(spm,[status(thm)],[c_0_90,c_0_110]) ).
cnf(c_0_118,plain,
r1(esk18_1(esk18_1(esk5_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115])]) ).
cnf(c_0_119,plain,
( r4(X1,esk5_0,esk5_0)
| ~ id(X1,X2) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_120,plain,
id(esk5_0,esk18_1(esk18_1(esk5_0))),
inference(spm,[status(thm)],[c_0_108,c_0_118]) ).
cnf(c_0_121,plain,
id(esk12_1(X1),X1),
i_0_34 ).
cnf(c_0_122,plain,
( r3(X1,X2,X3)
| ~ id(X3,X4)
| ~ id(X2,X5)
| ~ id(X1,X6)
| ~ r3(X6,X5,X4) ),
i_0_2 ).
cnf(c_0_123,plain,
r3(X1,esk13_1(X1),esk12_1(X1)),
i_0_32 ).
cnf(c_0_124,plain,
r1(esk13_1(X1)),
i_0_33 ).
cnf(c_0_125,negated_conjecture,
( ~ id(X1,X2)
| ~ r3(X3,X4,X1)
| ~ r4(X5,X5,X3)
| ~ r4(X6,X6,X4)
| ~ r4(X7,X7,X2) ),
i_0_59 ).
cnf(c_0_126,plain,
r4(esk5_0,esk5_0,esk5_0),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_127,plain,
id(X1,esk12_1(X1)),
inference(spm,[status(thm)],[c_0_90,c_0_121]) ).
cnf(c_0_128,plain,
( r3(X1,X2,X3)
| ~ id(X3,esk12_1(X4))
| ~ id(X2,esk13_1(X4))
| ~ id(X1,X4) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_129,plain,
id(esk13_1(X1),esk5_0),
inference(spm,[status(thm)],[c_0_92,c_0_124]) ).
cnf(c_0_130,negated_conjecture,
( ~ r4(X1,X1,X2)
| ~ r4(X3,X3,X4)
| ~ r3(X4,X2,X5)
| ~ id(X5,esk5_0) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_131,plain,
r4(X1,esk5_0,esk5_0),
inference(spm,[status(thm)],[c_0_119,c_0_127]) ).
cnf(c_0_132,plain,
( r3(X1,X2,X3)
| ~ id(X2,esk13_1(X3))
| ~ id(X1,X3) ),
inference(spm,[status(thm)],[c_0_128,c_0_127]) ).
cnf(c_0_133,plain,
id(esk5_0,esk13_1(X1)),
inference(spm,[status(thm)],[c_0_90,c_0_129]) ).
cnf(c_0_134,negated_conjecture,
( ~ r4(X1,X1,X2)
| ~ r3(X2,esk5_0,X3)
| ~ id(X3,esk5_0) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_135,plain,
( r3(X1,esk5_0,X2)
| ~ id(X1,X2) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_136,plain,
( ~ r4(X1,X1,X2)
| ~ id(X3,esk5_0)
| ~ id(X2,X3) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_137,plain,
~ id(X1,esk5_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_131]),c_0_90]) ).
cnf(c_0_138,plain,
$false,
inference(sr,[status(thm)],[c_0_110,c_0_137]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN059+1 : TPTP v8.1.0. Bugfixed v7.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n027.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 07:56:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.18/2.22 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 7.18/2.22 # Version: 2.1pre011
% 7.18/2.22 # Preprocessing time : 0.009 s
% 7.18/2.22
% 7.18/2.22 # Proof found!
% 7.18/2.22 # SZS status Theorem
% 7.18/2.22 # SZS output start CNFRefutation
% See solution above
% 7.18/2.22 # Proof object total steps : 79
% 7.18/2.22 # Proof object clause steps : 59
% 7.18/2.22 # Proof object formula steps : 20
% 7.18/2.22 # Proof object conjectures : 4
% 7.18/2.22 # Proof object clause conjectures : 3
% 7.18/2.22 # Proof object formula conjectures : 1
% 7.18/2.22 # Proof object initial clauses used : 20
% 7.18/2.22 # Proof object initial formulas used : 20
% 7.18/2.22 # Proof object generating inferences : 38
% 7.18/2.22 # Proof object simplifying inferences : 11
% 7.18/2.22 # Training examples: 0 positive, 0 negative
% 7.18/2.22 # Parsed axioms : 43
% 7.18/2.22 # Removed by relevancy pruning/SinE : 0
% 7.18/2.22 # Initial clauses : 43
% 7.18/2.22 # Removed in clause preprocessing : 0
% 7.18/2.22 # Initial clauses in saturation : 43
% 7.18/2.22 # Processed clauses : 349
% 7.18/2.22 # ...of these trivial : 20
% 7.18/2.22 # ...subsumed : 92
% 7.18/2.22 # ...remaining for further processing : 237
% 7.18/2.22 # Other redundant clauses eliminated : 0
% 7.18/2.22 # Clauses deleted for lack of memory : 0
% 7.18/2.22 # Backward-subsumed : 3
% 7.18/2.22 # Backward-rewritten : 2
% 7.18/2.22 # Generated clauses : 1693
% 7.18/2.22 # ...of the previous two non-trivial : 1381
% 7.18/2.22 # Contextual simplify-reflections : 28
% 7.18/2.22 # Paramodulations : 1678
% 7.18/2.22 # Factorizations : 0
% 7.18/2.22 # Equation resolutions : 0
% 7.18/2.22 # Propositional unsat checks : 0
% 7.18/2.22 # Propositional unsat check successes : 0
% 7.18/2.22 # Current number of processed clauses : 217
% 7.18/2.22 # Positive orientable unit clauses : 62
% 7.18/2.22 # Positive unorientable unit clauses: 0
% 7.18/2.22 # Negative unit clauses : 21
% 7.18/2.22 # Non-unit-clauses : 134
% 7.18/2.22 # Current number of unprocessed clauses: 923
% 7.18/2.22 # ...number of literals in the above : 2785
% 7.18/2.22 # Current number of archived formulas : 0
% 7.18/2.22 # Current number of archived clauses : 20
% 7.18/2.22 # Clause-clause subsumption calls (NU) : 3940
% 7.18/2.22 # Rec. Clause-clause subsumption calls : 2496
% 7.18/2.22 # Non-unit clause-clause subsumptions : 77
% 7.18/2.22 # Unit Clause-clause subsumption calls : 810
% 7.18/2.22 # Rewrite failures with RHS unbound : 0
% 7.18/2.22 # BW rewrite match attempts : 127
% 7.18/2.22 # BW rewrite match successes : 5
% 7.18/2.22 # Condensation attempts : 0
% 7.18/2.22 # Condensation successes : 0
% 7.18/2.22 # Termbank termtop insertions : 19198
% 7.18/2.22
% 7.18/2.22 # -------------------------------------------------
% 7.18/2.22 # User time : 0.027 s
% 7.18/2.22 # System time : 0.002 s
% 7.18/2.22 # Total time : 0.029 s
% 7.18/2.22 # ...preprocessing : 0.009 s
% 7.18/2.22 # ...main loop : 0.020 s
% 7.18/2.22 # Maximum resident set size: 7136 pages
% 7.18/2.22
%------------------------------------------------------------------------------