TSTP Solution File: GEO222+3 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO222+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n016.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 03:44:37 EDT 2022
% Result : Theorem 8.40s 2.49s
% Output : CNFRefutation 8.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 30 ( 12 unt; 18 nHn; 9 RR)
% Number of literals : 61 ( 0 equ; 19 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 58 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_42,plain,
~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7r19rrd_/input.p',i_0_42) ).
cnf(i_0_24,plain,
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7r19rrd_/input.p',i_0_24) ).
cnf(i_0_31,plain,
( unorthogonal_lines(X1,X2)
| unorthogonal_lines(X1,X3)
| ~ convergent_lines(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7r19rrd_/input.p',i_0_31) ).
cnf(i_0_26,negated_conjecture,
~ parallel_lines(esk2_0,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7r19rrd_/input.p',i_0_26) ).
cnf(i_0_1,plain,
( parallel_lines(X1,X2)
| convergent_lines(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7r19rrd_/input.p',i_0_1) ).
cnf(i_0_37,plain,
( unorthogonal_lines(X1,X2)
| unorthogonal_lines(X3,X2)
| ~ convergent_lines(X1,X3)
| ~ unorthogonal_lines(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7r19rrd_/input.p',i_0_37) ).
cnf(i_0_16,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7r19rrd_/input.p',i_0_16) ).
cnf(i_0_9,plain,
~ convergent_lines(X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7r19rrd_/input.p',i_0_9) ).
cnf(i_0_28,plain,
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X3)
| ~ convergent_lines(X3,X2)
| ~ unorthogonal_lines(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7r19rrd_/input.p',i_0_28) ).
cnf(c_0_52,plain,
~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
i_0_42 ).
cnf(c_0_53,plain,
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
i_0_24 ).
cnf(c_0_54,plain,
( unorthogonal_lines(X1,X2)
| unorthogonal_lines(X1,X3)
| ~ convergent_lines(X3,X2) ),
i_0_31 ).
cnf(c_0_55,plain,
convergent_lines(orthogonal_through_point(X1,X2),X1),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,plain,
( unorthogonal_lines(X1,orthogonal_through_point(X2,X3))
| unorthogonal_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_57,negated_conjecture,
~ parallel_lines(esk2_0,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
i_0_26 ).
cnf(c_0_58,plain,
( parallel_lines(X1,X2)
| convergent_lines(X1,X2) ),
i_0_1 ).
cnf(c_0_59,plain,
( unorthogonal_lines(X1,X2)
| unorthogonal_lines(X3,X2)
| ~ convergent_lines(X1,X3)
| ~ unorthogonal_lines(X1,X3) ),
i_0_37 ).
cnf(c_0_60,plain,
unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(X1,X2),X3),X1),
inference(spm,[status(thm)],[c_0_52,c_0_56]) ).
cnf(c_0_61,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
i_0_16 ).
cnf(c_0_62,negated_conjecture,
convergent_lines(esk2_0,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_63,plain,
( unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(X1,X2),X3),X4)
| unorthogonal_lines(X1,X4)
| ~ convergent_lines(orthogonal_through_point(orthogonal_through_point(X1,X2),X3),X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_64,plain,
( convergent_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X1)
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_65,plain,
~ convergent_lines(X1,X1),
i_0_9 ).
cnf(c_0_66,plain,
( unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X1)
| unorthogonal_lines(esk2_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
cnf(c_0_67,plain,
( convergent_lines(orthogonal_through_point(X1,X2),X3)
| convergent_lines(X1,X3) ),
inference(spm,[status(thm)],[c_0_61,c_0_55]) ).
cnf(c_0_68,plain,
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X3)
| ~ convergent_lines(X3,X2)
| ~ unorthogonal_lines(X3,X2) ),
i_0_28 ).
cnf(c_0_69,plain,
unorthogonal_lines(esk2_0,orthogonal_through_point(esk2_0,esk1_0)),
inference(spm,[status(thm)],[c_0_52,c_0_66]) ).
cnf(c_0_70,plain,
convergent_lines(X1,orthogonal_through_point(X1,X2)),
inference(spm,[status(thm)],[c_0_65,c_0_67]) ).
cnf(c_0_71,plain,
( unorthogonal_lines(X1,esk2_0)
| convergent_lines(X1,orthogonal_through_point(esk2_0,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).
cnf(c_0_72,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_71]),c_0_52]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO222+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 11:16:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.40/2.49 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 8.40/2.49 # Version: 2.1pre011
% 8.40/2.49 # Preprocessing time : 0.012 s
% 8.40/2.49
% 8.40/2.49 # Proof found!
% 8.40/2.49 # SZS status Theorem
% 8.40/2.49 # SZS output start CNFRefutation
% See solution above
% 8.40/2.49 # Proof object total steps : 30
% 8.40/2.49 # Proof object clause steps : 21
% 8.40/2.49 # Proof object formula steps : 9
% 8.40/2.49 # Proof object conjectures : 3
% 8.40/2.49 # Proof object clause conjectures : 2
% 8.40/2.49 # Proof object formula conjectures : 1
% 8.40/2.49 # Proof object initial clauses used : 9
% 8.40/2.49 # Proof object initial formulas used : 9
% 8.40/2.49 # Proof object generating inferences : 12
% 8.40/2.49 # Proof object simplifying inferences : 4
% 8.40/2.49 # Training examples: 0 positive, 0 negative
% 8.40/2.49 # Parsed axioms : 47
% 8.40/2.49 # Removed by relevancy pruning/SinE : 0
% 8.40/2.49 # Initial clauses : 47
% 8.40/2.49 # Removed in clause preprocessing : 0
% 8.40/2.49 # Initial clauses in saturation : 47
% 8.40/2.49 # Processed clauses : 150
% 8.40/2.49 # ...of these trivial : 1
% 8.40/2.49 # ...subsumed : 30
% 8.40/2.49 # ...remaining for further processing : 119
% 8.40/2.49 # Other redundant clauses eliminated : 0
% 8.40/2.49 # Clauses deleted for lack of memory : 0
% 8.40/2.49 # Backward-subsumed : 2
% 8.40/2.49 # Backward-rewritten : 1
% 8.40/2.49 # Generated clauses : 815
% 8.40/2.49 # ...of the previous two non-trivial : 710
% 8.40/2.49 # Contextual simplify-reflections : 12
% 8.40/2.49 # Paramodulations : 799
% 8.40/2.49 # Factorizations : 16
% 8.40/2.49 # Equation resolutions : 0
% 8.40/2.49 # Propositional unsat checks : 0
% 8.40/2.49 # Propositional unsat check successes : 0
% 8.40/2.49 # Current number of processed clauses : 116
% 8.40/2.49 # Positive orientable unit clauses : 18
% 8.40/2.49 # Positive unorientable unit clauses: 0
% 8.40/2.49 # Negative unit clauses : 8
% 8.40/2.49 # Non-unit-clauses : 90
% 8.40/2.49 # Current number of unprocessed clauses: 573
% 8.40/2.49 # ...number of literals in the above : 2287
% 8.40/2.49 # Current number of archived formulas : 0
% 8.40/2.49 # Current number of archived clauses : 3
% 8.40/2.49 # Clause-clause subsumption calls (NU) : 2136
% 8.40/2.49 # Rec. Clause-clause subsumption calls : 1070
% 8.40/2.49 # Non-unit clause-clause subsumptions : 40
% 8.40/2.49 # Unit Clause-clause subsumption calls : 482
% 8.40/2.49 # Rewrite failures with RHS unbound : 0
% 8.40/2.49 # BW rewrite match attempts : 11
% 8.40/2.49 # BW rewrite match successes : 1
% 8.40/2.49 # Condensation attempts : 0
% 8.40/2.49 # Condensation successes : 0
% 8.40/2.49 # Termbank termtop insertions : 13673
% 8.40/2.49
% 8.40/2.49 # -------------------------------------------------
% 8.40/2.49 # User time : 0.017 s
% 8.40/2.49 # System time : 0.006 s
% 8.40/2.49 # Total time : 0.023 s
% 8.40/2.49 # ...preprocessing : 0.012 s
% 8.40/2.49 # ...main loop : 0.011 s
% 8.40/2.49 # Maximum resident set size: 7124 pages
% 8.40/2.49
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