TSTP Solution File: SWC407+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWC407+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 20:15:30 EDT 2022
% Result : Theorem 7.54s 2.46s
% Output : CNFRefutation 7.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of clauses : 37 ( 17 unt; 14 nHn; 37 RR)
% Number of literals : 69 ( 30 equ; 27 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_78,plain,
( X1 = X2
| memberP(X3,X2)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ memberP(cons(X1,X3),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp6rd3rf/input.p',i_0_78) ).
cnf(i_0_193,negated_conjecture,
( esk50_0 = nil
| cons(esk53_0,nil) = esk50_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp6rd3rf/input.p',i_0_193) ).
cnf(i_0_44,plain,
ssList(nil),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp6rd3rf/input.p',i_0_44) ).
cnf(i_0_195,negated_conjecture,
( esk50_0 = nil
| ssItem(esk53_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp6rd3rf/input.p',i_0_195) ).
cnf(i_0_79,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp6rd3rf/input.p',i_0_79) ).
cnf(i_0_198,negated_conjecture,
memberP(esk48_0,esk52_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp6rd3rf/input.p',i_0_198) ).
cnf(i_0_200,negated_conjecture,
esk50_0 = esk48_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp6rd3rf/input.p',i_0_200) ).
cnf(i_0_197,negated_conjecture,
~ memberP(esk49_0,esk52_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp6rd3rf/input.p',i_0_197) ).
cnf(i_0_201,negated_conjecture,
esk49_0 = esk51_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp6rd3rf/input.p',i_0_201) ).
cnf(i_0_53,plain,
( cons(X1,X2) != nil
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp6rd3rf/input.p',i_0_53) ).
cnf(i_0_194,negated_conjecture,
( nil = esk51_0
| cons(esk53_0,nil) = esk50_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp6rd3rf/input.p',i_0_194) ).
cnf(i_0_196,negated_conjecture,
( nil = esk51_0
| ssItem(esk53_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp6rd3rf/input.p',i_0_196) ).
cnf(i_0_199,negated_conjecture,
ssItem(esk52_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp6rd3rf/input.p',i_0_199) ).
cnf(i_0_191,negated_conjecture,
( esk50_0 = nil
| memberP(esk51_0,esk53_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp6rd3rf/input.p',i_0_191) ).
cnf(c_0_216,plain,
( X1 = X2
| memberP(X3,X2)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ memberP(cons(X1,X3),X2) ),
i_0_78 ).
cnf(c_0_217,negated_conjecture,
( esk50_0 = nil
| cons(esk53_0,nil) = esk50_0 ),
i_0_193 ).
cnf(c_0_218,plain,
ssList(nil),
i_0_44 ).
cnf(c_0_219,negated_conjecture,
( esk50_0 = nil
| ssItem(esk53_0) ),
i_0_195 ).
cnf(c_0_220,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
i_0_79 ).
cnf(c_0_221,negated_conjecture,
memberP(esk48_0,esk52_0),
i_0_198 ).
cnf(c_0_222,negated_conjecture,
esk50_0 = esk48_0,
i_0_200 ).
cnf(c_0_223,negated_conjecture,
~ memberP(esk49_0,esk52_0),
i_0_197 ).
cnf(c_0_224,negated_conjecture,
esk49_0 = esk51_0,
i_0_201 ).
cnf(c_0_225,plain,
( cons(X1,X2) != nil
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_53 ).
cnf(c_0_226,negated_conjecture,
( nil = esk51_0
| cons(esk53_0,nil) = esk50_0 ),
i_0_194 ).
cnf(c_0_227,negated_conjecture,
( nil = esk51_0
| ssItem(esk53_0) ),
i_0_196 ).
cnf(c_0_228,negated_conjecture,
( esk50_0 = nil
| esk53_0 = X1
| ~ memberP(esk50_0,X1)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218])]),c_0_219]),c_0_220]) ).
cnf(c_0_229,negated_conjecture,
memberP(esk50_0,esk52_0),
inference(rw,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_230,negated_conjecture,
ssItem(esk52_0),
i_0_199 ).
cnf(c_0_231,negated_conjecture,
~ memberP(esk51_0,esk52_0),
inference(rw,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_232,plain,
( esk51_0 = nil
| esk50_0 != nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_218])]),c_0_227]) ).
cnf(c_0_233,negated_conjecture,
( esk52_0 = esk53_0
| esk50_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_230])]) ).
cnf(c_0_234,negated_conjecture,
( esk50_0 = nil
| memberP(esk51_0,esk53_0) ),
i_0_191 ).
cnf(c_0_235,negated_conjecture,
( esk50_0 != nil
| ~ memberP(nil,esk52_0) ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_236,negated_conjecture,
esk50_0 = nil,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_233]),c_0_234]) ).
cnf(c_0_237,negated_conjecture,
~ memberP(nil,esk52_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_236])]) ).
cnf(c_0_238,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_236]),c_0_237]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC407+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n026.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 : Sun Jun 12 01:44:51 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
% 7.54/2.46 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 7.54/2.46 # Version: 2.1pre011
% 7.54/2.46 # Preprocessing time : 0.013 s
% 7.54/2.46
% 7.54/2.46 # Proof found!
% 7.54/2.46 # SZS status Theorem
% 7.54/2.46 # SZS output start CNFRefutation
% See solution above
% 7.54/2.46 # Proof object total steps : 37
% 7.54/2.46 # Proof object clause steps : 23
% 7.54/2.46 # Proof object formula steps : 14
% 7.54/2.46 # Proof object conjectures : 28
% 7.54/2.46 # Proof object clause conjectures : 18
% 7.54/2.46 # Proof object formula conjectures : 10
% 7.54/2.46 # Proof object initial clauses used : 14
% 7.54/2.46 # Proof object initial formulas used : 14
% 7.54/2.46 # Proof object generating inferences : 5
% 7.54/2.46 # Proof object simplifying inferences : 16
% 7.54/2.46 # Training examples: 0 positive, 0 negative
% 7.54/2.46 # Parsed axioms : 203
% 7.54/2.46 # Removed by relevancy pruning/SinE : 0
% 7.54/2.46 # Initial clauses : 203
% 7.54/2.46 # Removed in clause preprocessing : 0
% 7.54/2.46 # Initial clauses in saturation : 203
% 7.54/2.46 # Processed clauses : 512
% 7.54/2.46 # ...of these trivial : 7
% 7.54/2.46 # ...subsumed : 154
% 7.54/2.46 # ...remaining for further processing : 350
% 7.54/2.46 # Other redundant clauses eliminated : 104
% 7.54/2.46 # Clauses deleted for lack of memory : 0
% 7.54/2.46 # Backward-subsumed : 4
% 7.54/2.46 # Backward-rewritten : 104
% 7.54/2.46 # Generated clauses : 1868
% 7.54/2.46 # ...of the previous two non-trivial : 1668
% 7.54/2.46 # Contextual simplify-reflections : 281
% 7.54/2.46 # Paramodulations : 1718
% 7.54/2.46 # Factorizations : 0
% 7.54/2.46 # Equation resolutions : 150
% 7.54/2.46 # Propositional unsat checks : 0
% 7.54/2.46 # Propositional unsat check successes : 0
% 7.54/2.46 # Current number of processed clauses : 236
% 7.54/2.46 # Positive orientable unit clauses : 15
% 7.54/2.46 # Positive unorientable unit clauses: 0
% 7.54/2.46 # Negative unit clauses : 3
% 7.54/2.46 # Non-unit-clauses : 218
% 7.54/2.46 # Current number of unprocessed clauses: 959
% 7.54/2.46 # ...number of literals in the above : 7163
% 7.54/2.46 # Current number of archived formulas : 0
% 7.54/2.46 # Current number of archived clauses : 108
% 7.54/2.46 # Clause-clause subsumption calls (NU) : 20450
% 7.54/2.46 # Rec. Clause-clause subsumption calls : 4565
% 7.54/2.46 # Non-unit clause-clause subsumptions : 438
% 7.54/2.46 # Unit Clause-clause subsumption calls : 135
% 7.54/2.46 # Rewrite failures with RHS unbound : 0
% 7.54/2.46 # BW rewrite match attempts : 3
% 7.54/2.46 # BW rewrite match successes : 3
% 7.54/2.46 # Condensation attempts : 0
% 7.54/2.46 # Condensation successes : 0
% 7.54/2.46 # Termbank termtop insertions : 40250
% 7.54/2.46
% 7.54/2.46 # -------------------------------------------------
% 7.54/2.46 # User time : 0.050 s
% 7.54/2.46 # System time : 0.007 s
% 7.54/2.46 # Total time : 0.057 s
% 7.54/2.46 # ...preprocessing : 0.013 s
% 7.54/2.47 # ...main loop : 0.044 s
% 7.54/2.47 # Maximum resident set size: 7132 pages
% 7.54/2.47
%------------------------------------------------------------------------------