TSTP Solution File: GEO088+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO088+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.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 : Sat Jul 16 03:43:16 EDT 2022
% Result : Theorem 9.52s 2.63s
% Output : CNFRefutation 9.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of clauses : 47 ( 16 unt; 23 nHn; 38 RR)
% Number of literals : 112 ( 0 equ; 44 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_37,plain,
( incident_c(X1,X2)
| ~ part_of(X3,X2)
| ~ incident_c(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0h5hdoo/input.p',i_0_37) ).
cnf(i_0_36,plain,
( part_of(X1,X2)
| incident_c(esk12_2(X2,X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0h5hdoo/input.p',i_0_36) ).
cnf(i_0_19,plain,
( end_point(X1,X2)
| part_of(esk9_2(X1,X2),X2)
| ~ incident_c(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0h5hdoo/input.p',i_0_19) ).
cnf(i_0_45,negated_conjecture,
incident_c(esk16_0,esk15_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0h5hdoo/input.p',i_0_45) ).
cnf(i_0_44,negated_conjecture,
~ end_point(esk16_0,esk15_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0h5hdoo/input.p',i_0_44) ).
cnf(i_0_20,plain,
( end_point(X1,X2)
| part_of(esk8_2(X1,X2),X2)
| ~ incident_c(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0h5hdoo/input.p',i_0_20) ).
cnf(i_0_17,plain,
( end_point(X1,X2)
| incident_c(X1,esk9_2(X1,X2))
| ~ incident_c(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0h5hdoo/input.p',i_0_17) ).
cnf(i_0_47,negated_conjecture,
part_of(esk15_0,esk14_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0h5hdoo/input.p',i_0_47) ).
cnf(i_0_21,plain,
( part_of(X1,X2)
| part_of(X2,X1)
| ~ part_of(X1,X3)
| ~ part_of(X2,X3)
| ~ end_point(X4,X3)
| ~ incident_c(X4,X1)
| ~ incident_c(X4,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0h5hdoo/input.p',i_0_21) ).
cnf(i_0_35,plain,
( part_of(X1,X2)
| ~ incident_c(esk12_2(X2,X1),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0h5hdoo/input.p',i_0_35) ).
cnf(i_0_46,negated_conjecture,
end_point(esk16_0,esk14_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0h5hdoo/input.p',i_0_46) ).
cnf(i_0_18,plain,
( end_point(X1,X2)
| incident_c(X1,esk8_2(X1,X2))
| ~ incident_c(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0h5hdoo/input.p',i_0_18) ).
cnf(i_0_15,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ part_of(esk9_2(X1,X2),esk8_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0h5hdoo/input.p',i_0_15) ).
cnf(i_0_16,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ part_of(esk8_2(X1,X2),esk9_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0h5hdoo/input.p',i_0_16) ).
cnf(c_0_62,plain,
( incident_c(X1,X2)
| ~ part_of(X3,X2)
| ~ incident_c(X1,X3) ),
i_0_37 ).
cnf(c_0_63,plain,
( part_of(X1,X2)
| incident_c(esk12_2(X2,X1),X1) ),
i_0_36 ).
cnf(c_0_64,plain,
( end_point(X1,X2)
| part_of(esk9_2(X1,X2),X2)
| ~ incident_c(X1,X2) ),
i_0_19 ).
cnf(c_0_65,negated_conjecture,
incident_c(esk16_0,esk15_0),
i_0_45 ).
cnf(c_0_66,negated_conjecture,
~ end_point(esk16_0,esk15_0),
i_0_44 ).
cnf(c_0_67,plain,
( incident_c(esk12_2(X1,X2),X3)
| part_of(X2,X1)
| ~ part_of(X2,X3) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_68,negated_conjecture,
part_of(esk9_2(esk16_0,esk15_0),esk15_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).
cnf(c_0_69,negated_conjecture,
( incident_c(esk12_2(X1,esk9_2(esk16_0,esk15_0)),esk15_0)
| part_of(esk9_2(esk16_0,esk15_0),X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_70,plain,
( end_point(X1,X2)
| part_of(esk8_2(X1,X2),X2)
| ~ incident_c(X1,X2) ),
i_0_20 ).
cnf(c_0_71,plain,
( end_point(X1,X2)
| incident_c(X1,esk9_2(X1,X2))
| ~ incident_c(X1,X2) ),
i_0_17 ).
cnf(c_0_72,plain,
( incident_c(esk12_2(X1,esk9_2(esk16_0,esk15_0)),X2)
| part_of(esk9_2(esk16_0,esk15_0),X1)
| ~ part_of(esk15_0,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_69]) ).
cnf(c_0_73,negated_conjecture,
part_of(esk15_0,esk14_0),
i_0_47 ).
cnf(c_0_74,negated_conjecture,
part_of(esk8_2(esk16_0,esk15_0),esk15_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_65]),c_0_66]) ).
cnf(c_0_75,plain,
( part_of(X1,X2)
| part_of(X2,X1)
| ~ part_of(X1,X3)
| ~ part_of(X2,X3)
| ~ end_point(X4,X3)
| ~ incident_c(X4,X1)
| ~ incident_c(X4,X2) ),
i_0_21 ).
cnf(c_0_76,negated_conjecture,
incident_c(esk16_0,esk9_2(esk16_0,esk15_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_65]),c_0_66]) ).
cnf(c_0_77,plain,
( part_of(X1,X2)
| ~ incident_c(esk12_2(X2,X1),X2) ),
i_0_35 ).
cnf(c_0_78,negated_conjecture,
( incident_c(esk12_2(X1,esk9_2(esk16_0,esk15_0)),esk14_0)
| part_of(esk9_2(esk16_0,esk15_0),X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_79,negated_conjecture,
( incident_c(esk12_2(X1,esk8_2(esk16_0,esk15_0)),esk15_0)
| part_of(esk8_2(esk16_0,esk15_0),X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_74]) ).
cnf(c_0_80,plain,
( part_of(esk9_2(esk16_0,esk15_0),X1)
| part_of(X1,esk9_2(esk16_0,esk15_0))
| ~ incident_c(esk16_0,X1)
| ~ end_point(esk16_0,X2)
| ~ part_of(esk9_2(esk16_0,esk15_0),X2)
| ~ part_of(X1,X2) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_81,plain,
part_of(esk9_2(esk16_0,esk15_0),esk14_0),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_82,negated_conjecture,
end_point(esk16_0,esk14_0),
i_0_46 ).
cnf(c_0_83,plain,
( end_point(X1,X2)
| incident_c(X1,esk8_2(X1,X2))
| ~ incident_c(X1,X2) ),
i_0_18 ).
cnf(c_0_84,plain,
( incident_c(esk12_2(X1,esk8_2(esk16_0,esk15_0)),X2)
| part_of(esk8_2(esk16_0,esk15_0),X1)
| ~ part_of(esk15_0,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_79]) ).
cnf(c_0_85,plain,
( part_of(X1,esk9_2(esk16_0,esk15_0))
| part_of(esk9_2(esk16_0,esk15_0),X1)
| ~ incident_c(esk16_0,X1)
| ~ part_of(X1,esk14_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82])]) ).
cnf(c_0_86,negated_conjecture,
incident_c(esk16_0,esk8_2(esk16_0,esk15_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_65]),c_0_66]) ).
cnf(c_0_87,negated_conjecture,
( incident_c(esk12_2(X1,esk8_2(esk16_0,esk15_0)),esk14_0)
| part_of(esk8_2(esk16_0,esk15_0),X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_73]) ).
cnf(c_0_88,negated_conjecture,
( part_of(esk9_2(esk16_0,esk15_0),esk8_2(esk16_0,esk15_0))
| part_of(esk8_2(esk16_0,esk15_0),esk9_2(esk16_0,esk15_0))
| ~ part_of(esk8_2(esk16_0,esk15_0),esk14_0) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_89,plain,
part_of(esk8_2(esk16_0,esk15_0),esk14_0),
inference(spm,[status(thm)],[c_0_77,c_0_87]) ).
cnf(c_0_90,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ part_of(esk9_2(X1,X2),esk8_2(X1,X2)) ),
i_0_15 ).
cnf(c_0_91,negated_conjecture,
( part_of(esk8_2(esk16_0,esk15_0),esk9_2(esk16_0,esk15_0))
| part_of(esk9_2(esk16_0,esk15_0),esk8_2(esk16_0,esk15_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_89])]) ).
cnf(c_0_92,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ part_of(esk8_2(X1,X2),esk9_2(X1,X2)) ),
i_0_16 ).
cnf(c_0_93,plain,
part_of(esk8_2(esk16_0,esk15_0),esk9_2(esk16_0,esk15_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_65])]),c_0_66]) ).
cnf(c_0_94,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_65])]),c_0_66]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO088+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 13:31:48 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected SinE mode:
% 0.20/0.46 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.52/2.63 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 9.52/2.63 # Version: 2.1pre011
% 9.52/2.63 # Preprocessing time : 0.018 s
% 9.52/2.63
% 9.52/2.63 # Proof found!
% 9.52/2.63 # SZS status Theorem
% 9.52/2.63 # SZS output start CNFRefutation
% See solution above
% 9.52/2.63 # Proof object total steps : 47
% 9.52/2.63 # Proof object clause steps : 33
% 9.52/2.63 # Proof object formula steps : 14
% 9.52/2.63 # Proof object conjectures : 18
% 9.52/2.63 # Proof object clause conjectures : 14
% 9.52/2.63 # Proof object formula conjectures : 4
% 9.52/2.63 # Proof object initial clauses used : 14
% 9.52/2.63 # Proof object initial formulas used : 14
% 9.52/2.63 # Proof object generating inferences : 18
% 9.52/2.63 # Proof object simplifying inferences : 14
% 9.52/2.63 # Training examples: 0 positive, 0 negative
% 9.52/2.63 # Parsed axioms : 47
% 9.52/2.63 # Removed by relevancy pruning/SinE : 0
% 9.52/2.63 # Initial clauses : 47
% 9.52/2.63 # Removed in clause preprocessing : 0
% 9.52/2.63 # Initial clauses in saturation : 47
% 9.52/2.63 # Processed clauses : 200
% 9.52/2.63 # ...of these trivial : 14
% 9.52/2.63 # ...subsumed : 23
% 9.52/2.63 # ...remaining for further processing : 163
% 9.52/2.63 # Other redundant clauses eliminated : 3
% 9.52/2.63 # Clauses deleted for lack of memory : 0
% 9.52/2.63 # Backward-subsumed : 0
% 9.52/2.63 # Backward-rewritten : 2
% 9.52/2.63 # Generated clauses : 882
% 9.52/2.63 # ...of the previous two non-trivial : 683
% 9.52/2.63 # Contextual simplify-reflections : 6
% 9.52/2.63 # Paramodulations : 692
% 9.52/2.63 # Factorizations : 184
% 9.52/2.63 # Equation resolutions : 6
% 9.52/2.63 # Propositional unsat checks : 0
% 9.52/2.63 # Propositional unsat check successes : 0
% 9.52/2.63 # Current number of processed clauses : 161
% 9.52/2.63 # Positive orientable unit clauses : 20
% 9.52/2.63 # Positive unorientable unit clauses: 0
% 9.52/2.63 # Negative unit clauses : 3
% 9.52/2.63 # Non-unit-clauses : 138
% 9.52/2.63 # Current number of unprocessed clauses: 522
% 9.52/2.63 # ...number of literals in the above : 2070
% 9.52/2.63 # Current number of archived formulas : 0
% 9.52/2.63 # Current number of archived clauses : 2
% 9.52/2.63 # Clause-clause subsumption calls (NU) : 3338
% 9.52/2.63 # Rec. Clause-clause subsumption calls : 1980
% 9.52/2.63 # Non-unit clause-clause subsumptions : 24
% 9.52/2.63 # Unit Clause-clause subsumption calls : 81
% 9.52/2.63 # Rewrite failures with RHS unbound : 0
% 9.52/2.63 # BW rewrite match attempts : 22
% 9.52/2.63 # BW rewrite match successes : 2
% 9.52/2.63 # Condensation attempts : 0
% 9.52/2.63 # Condensation successes : 0
% 9.52/2.63 # Termbank termtop insertions : 14710
% 9.52/2.63
% 9.52/2.63 # -------------------------------------------------
% 9.52/2.63 # User time : 0.039 s
% 9.52/2.63 # System time : 0.003 s
% 9.52/2.63 # Total time : 0.042 s
% 9.52/2.63 # ...preprocessing : 0.018 s
% 9.52/2.63 # ...main loop : 0.023 s
% 9.52/2.63 # Maximum resident set size: 7136 pages
% 9.52/2.63
%------------------------------------------------------------------------------