TSTP Solution File: GEO218+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO218+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 03:44:33 EDT 2022
% Result : Theorem 7.54s 2.34s
% Output : CNFRefutation 7.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 12 unt; 9 nHn; 12 RR)
% Number of literals : 37 ( 0 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_16,negated_conjecture,
~ unorthogonal_lines(esk1_0,esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5oqhsl12/input.p',i_0_16) ).
cnf(i_0_14,plain,
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5oqhsl12/input.p',i_0_14) ).
cnf(i_0_6,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5oqhsl12/input.p',i_0_6) ).
cnf(i_0_20,plain,
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X3)
| ~ convergent_lines(X2,X3)
| ~ unorthogonal_lines(X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5oqhsl12/input.p',i_0_20) ).
cnf(i_0_15,negated_conjecture,
unorthogonal_lines(esk2_0,esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5oqhsl12/input.p',i_0_15) ).
cnf(i_0_17,negated_conjecture,
~ convergent_lines(esk1_0,esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5oqhsl12/input.p',i_0_17) ).
cnf(i_0_3,plain,
~ convergent_lines(X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5oqhsl12/input.p',i_0_3) ).
cnf(c_0_28,negated_conjecture,
~ unorthogonal_lines(esk1_0,esk3_0),
i_0_16 ).
cnf(c_0_29,plain,
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
i_0_14 ).
cnf(c_0_30,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
i_0_6 ).
cnf(c_0_31,negated_conjecture,
convergent_lines(esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,plain,
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X3)
| ~ convergent_lines(X2,X3)
| ~ unorthogonal_lines(X2,X3) ),
i_0_20 ).
cnf(c_0_33,negated_conjecture,
unorthogonal_lines(esk2_0,esk3_0),
i_0_15 ).
cnf(c_0_34,negated_conjecture,
~ convergent_lines(esk1_0,esk2_0),
i_0_17 ).
cnf(c_0_35,plain,
( convergent_lines(esk1_0,X1)
| convergent_lines(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,negated_conjecture,
( convergent_lines(X1,esk2_0)
| unorthogonal_lines(X1,esk3_0)
| ~ convergent_lines(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
convergent_lines(esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
~ convergent_lines(esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_36]),c_0_34]) ).
cnf(c_0_39,plain,
( convergent_lines(esk3_0,X1)
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_37]) ).
cnf(c_0_40,plain,
~ convergent_lines(X1,X1),
i_0_3 ).
cnf(c_0_41,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO218+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n021.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 : Sat Jun 18 18:20:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.44 # Parsing /export/starexec/sandbox2/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
% 7.54/2.34 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 7.54/2.34 # Version: 2.1pre011
% 7.54/2.34 # Preprocessing time : 0.017 s
% 7.54/2.34
% 7.54/2.34 # Proof found!
% 7.54/2.34 # SZS status Theorem
% 7.54/2.34 # SZS output start CNFRefutation
% See solution above
% 7.54/2.34 # Proof object total steps : 21
% 7.54/2.34 # Proof object clause steps : 14
% 7.54/2.34 # Proof object formula steps : 7
% 7.54/2.34 # Proof object conjectures : 11
% 7.54/2.34 # Proof object clause conjectures : 8
% 7.54/2.34 # Proof object formula conjectures : 3
% 7.54/2.34 # Proof object initial clauses used : 7
% 7.54/2.34 # Proof object initial formulas used : 7
% 7.54/2.34 # Proof object generating inferences : 7
% 7.54/2.34 # Proof object simplifying inferences : 2
% 7.54/2.34 # Training examples: 0 positive, 0 negative
% 7.54/2.34 # Parsed axioms : 23
% 7.54/2.34 # Removed by relevancy pruning/SinE : 0
% 7.54/2.34 # Initial clauses : 23
% 7.54/2.34 # Removed in clause preprocessing : 0
% 7.54/2.34 # Initial clauses in saturation : 23
% 7.54/2.34 # Processed clauses : 43
% 7.54/2.34 # ...of these trivial : 0
% 7.54/2.34 # ...subsumed : 5
% 7.54/2.34 # ...remaining for further processing : 38
% 7.54/2.34 # Other redundant clauses eliminated : 0
% 7.54/2.34 # Clauses deleted for lack of memory : 0
% 7.54/2.34 # Backward-subsumed : 0
% 7.54/2.34 # Backward-rewritten : 0
% 7.54/2.34 # Generated clauses : 55
% 7.54/2.34 # ...of the previous two non-trivial : 42
% 7.54/2.34 # Contextual simplify-reflections : 5
% 7.54/2.34 # Paramodulations : 55
% 7.54/2.34 # Factorizations : 0
% 7.54/2.34 # Equation resolutions : 0
% 7.54/2.34 # Propositional unsat checks : 0
% 7.54/2.34 # Propositional unsat check successes : 0
% 7.54/2.34 # Current number of processed clauses : 38
% 7.54/2.34 # Positive orientable unit clauses : 4
% 7.54/2.34 # Positive unorientable unit clauses: 0
% 7.54/2.34 # Negative unit clauses : 6
% 7.54/2.34 # Non-unit-clauses : 28
% 7.54/2.34 # Current number of unprocessed clauses: 18
% 7.54/2.34 # ...number of literals in the above : 66
% 7.54/2.34 # Current number of archived formulas : 0
% 7.54/2.34 # Current number of archived clauses : 0
% 7.54/2.34 # Clause-clause subsumption calls (NU) : 123
% 7.54/2.34 # Rec. Clause-clause subsumption calls : 100
% 7.54/2.34 # Non-unit clause-clause subsumptions : 8
% 7.54/2.34 # Unit Clause-clause subsumption calls : 38
% 7.54/2.34 # Rewrite failures with RHS unbound : 0
% 7.54/2.34 # BW rewrite match attempts : 0
% 7.54/2.34 # BW rewrite match successes : 0
% 7.54/2.34 # Condensation attempts : 0
% 7.54/2.34 # Condensation successes : 0
% 7.54/2.34 # Termbank termtop insertions : 1131
% 7.54/2.34
% 7.54/2.34 # -------------------------------------------------
% 7.54/2.34 # User time : 0.015 s
% 7.54/2.34 # System time : 0.004 s
% 7.54/2.34 # Total time : 0.019 s
% 7.54/2.34 # ...preprocessing : 0.017 s
% 7.54/2.34 # ...main loop : 0.002 s
% 7.54/2.34 # Maximum resident set size: 7128 pages
% 7.54/2.34
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