TSTP Solution File: GEO201+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO201+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.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 03:44:19 EDT 2022
% Result : Theorem 8.47s 2.29s
% Output : CNFRefutation 8.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 39 ( 15 unt; 16 nHn; 29 RR)
% Number of literals : 88 ( 0 equ; 32 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_6,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2ote1hl/input.p',i_0_6) ).
cnf(i_0_15,negated_conjecture,
convergent_lines(esk1_0,esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2ote1hl/input.p',i_0_15) ).
cnf(i_0_5,plain,
( distinct_lines(X1,X2)
| distinct_lines(X3,X2)
| ~ distinct_lines(X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2ote1hl/input.p',i_0_5) ).
cnf(i_0_9,plain,
( distinct_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2ote1hl/input.p',i_0_9) ).
cnf(i_0_3,plain,
~ convergent_lines(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2ote1hl/input.p',i_0_3) ).
cnf(i_0_2,plain,
~ distinct_lines(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2ote1hl/input.p',i_0_2) ).
cnf(i_0_4,plain,
( distinct_points(X1,X2)
| distinct_points(X3,X2)
| ~ distinct_points(X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2ote1hl/input.p',i_0_4) ).
cnf(i_0_14,negated_conjecture,
distinct_points(intersection_point(esk1_0,esk2_0),intersection_point(esk2_0,esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2ote1hl/input.p',i_0_14) ).
cnf(i_0_16,plain,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X4,X2)
| apart_point_and_line(X4,X3)
| ~ distinct_points(X4,X1)
| ~ distinct_lines(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2ote1hl/input.p',i_0_16) ).
cnf(i_0_1,plain,
~ distinct_points(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2ote1hl/input.p',i_0_1) ).
cnf(i_0_13,plain,
( distinct_points(X1,intersection_point(X2,X3))
| ~ convergent_lines(X2,X3)
| ~ apart_point_and_line(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2ote1hl/input.p',i_0_13) ).
cnf(i_0_12,plain,
( distinct_points(X1,intersection_point(X2,X3))
| ~ convergent_lines(X2,X3)
| ~ apart_point_and_line(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2ote1hl/input.p',i_0_12) ).
cnf(c_0_29,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
i_0_6 ).
cnf(c_0_30,negated_conjecture,
convergent_lines(esk1_0,esk2_0),
i_0_15 ).
cnf(c_0_31,plain,
( distinct_lines(X1,X2)
| distinct_lines(X3,X2)
| ~ distinct_lines(X3,X1) ),
i_0_5 ).
cnf(c_0_32,plain,
( distinct_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
i_0_9 ).
cnf(c_0_33,plain,
~ convergent_lines(X1,X1),
i_0_3 ).
cnf(c_0_34,negated_conjecture,
( convergent_lines(esk1_0,X1)
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,plain,
( distinct_lines(X1,X2)
| distinct_lines(X3,X2)
| ~ convergent_lines(X1,X3) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
convergent_lines(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,plain,
~ distinct_lines(X1,X1),
i_0_2 ).
cnf(c_0_38,plain,
( distinct_lines(esk1_0,X1)
| distinct_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,plain,
( distinct_points(X1,X2)
| distinct_points(X3,X2)
| ~ distinct_points(X3,X1) ),
i_0_4 ).
cnf(c_0_40,negated_conjecture,
distinct_points(intersection_point(esk1_0,esk2_0),intersection_point(esk2_0,esk1_0)),
i_0_14 ).
cnf(c_0_41,plain,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X4,X2)
| apart_point_and_line(X4,X3)
| ~ distinct_points(X4,X1)
| ~ distinct_lines(X3,X2) ),
i_0_16 ).
cnf(c_0_42,plain,
distinct_lines(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,plain,
~ distinct_points(X1,X1),
i_0_1 ).
cnf(c_0_44,negated_conjecture,
( distinct_points(intersection_point(esk1_0,esk2_0),X1)
| distinct_points(intersection_point(esk2_0,esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,plain,
( distinct_points(X1,intersection_point(X2,X3))
| ~ convergent_lines(X2,X3)
| ~ apart_point_and_line(X1,X2) ),
i_0_13 ).
cnf(c_0_46,plain,
( apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X1,esk1_0)
| apart_point_and_line(X2,esk2_0)
| apart_point_and_line(X2,esk1_0)
| ~ distinct_points(X1,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,plain,
distinct_points(intersection_point(esk2_0,esk1_0),intersection_point(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,plain,
( distinct_points(X1,intersection_point(X2,X3))
| ~ convergent_lines(X2,X3)
| ~ apart_point_and_line(X1,X3) ),
i_0_12 ).
cnf(c_0_49,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X1)
| ~ convergent_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_45]) ).
cnf(c_0_50,plain,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk1_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X2)
| ~ convergent_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_48]) ).
cnf(c_0_52,plain,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk1_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_30])]) ).
cnf(c_0_53,plain,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk1_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_30])]) ).
cnf(c_0_54,plain,
apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_53]),c_0_36])]) ).
cnf(c_0_55,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_54]),c_0_36])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO201+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n023.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 : Fri Jun 17 17:25:36 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
% 8.47/2.29 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 8.47/2.29 # Version: 2.1pre011
% 8.47/2.29 # Preprocessing time : 0.017 s
% 8.47/2.29
% 8.47/2.29 # Proof found!
% 8.47/2.29 # SZS status Theorem
% 8.47/2.29 # SZS output start CNFRefutation
% See solution above
% 8.47/2.29 # Proof object total steps : 39
% 8.47/2.29 # Proof object clause steps : 27
% 8.47/2.29 # Proof object formula steps : 12
% 8.47/2.29 # Proof object conjectures : 6
% 8.47/2.29 # Proof object clause conjectures : 4
% 8.47/2.29 # Proof object formula conjectures : 2
% 8.47/2.29 # Proof object initial clauses used : 12
% 8.47/2.29 # Proof object initial formulas used : 12
% 8.47/2.29 # Proof object generating inferences : 15
% 8.47/2.29 # Proof object simplifying inferences : 8
% 8.47/2.29 # Training examples: 0 positive, 0 negative
% 8.47/2.29 # Parsed axioms : 16
% 8.47/2.29 # Removed by relevancy pruning/SinE : 0
% 8.47/2.29 # Initial clauses : 16
% 8.47/2.29 # Removed in clause preprocessing : 0
% 8.47/2.29 # Initial clauses in saturation : 16
% 8.47/2.29 # Processed clauses : 55
% 8.47/2.29 # ...of these trivial : 0
% 8.47/2.29 # ...subsumed : 12
% 8.47/2.29 # ...remaining for further processing : 43
% 8.47/2.29 # Other redundant clauses eliminated : 0
% 8.47/2.29 # Clauses deleted for lack of memory : 0
% 8.47/2.29 # Backward-subsumed : 2
% 8.47/2.29 # Backward-rewritten : 2
% 8.47/2.29 # Generated clauses : 192
% 8.47/2.29 # ...of the previous two non-trivial : 165
% 8.47/2.29 # Contextual simplify-reflections : 1
% 8.47/2.29 # Paramodulations : 154
% 8.47/2.29 # Factorizations : 38
% 8.47/2.29 # Equation resolutions : 0
% 8.47/2.29 # Propositional unsat checks : 0
% 8.47/2.29 # Propositional unsat check successes : 0
% 8.47/2.29 # Current number of processed clauses : 39
% 8.47/2.29 # Positive orientable unit clauses : 6
% 8.47/2.29 # Positive unorientable unit clauses: 0
% 8.47/2.29 # Negative unit clauses : 3
% 8.47/2.29 # Non-unit-clauses : 30
% 8.47/2.29 # Current number of unprocessed clauses: 96
% 8.47/2.29 # ...number of literals in the above : 406
% 8.47/2.29 # Current number of archived formulas : 0
% 8.47/2.29 # Current number of archived clauses : 4
% 8.47/2.29 # Clause-clause subsumption calls (NU) : 161
% 8.47/2.29 # Rec. Clause-clause subsumption calls : 114
% 8.47/2.29 # Non-unit clause-clause subsumptions : 14
% 8.47/2.29 # Unit Clause-clause subsumption calls : 4
% 8.47/2.29 # Rewrite failures with RHS unbound : 0
% 8.47/2.29 # BW rewrite match attempts : 1
% 8.47/2.29 # BW rewrite match successes : 1
% 8.47/2.29 # Condensation attempts : 0
% 8.47/2.29 # Condensation successes : 0
% 8.47/2.29 # Termbank termtop insertions : 2475
% 8.47/2.29
% 8.47/2.29 # -------------------------------------------------
% 8.47/2.29 # User time : 0.020 s
% 8.47/2.29 # System time : 0.002 s
% 8.47/2.29 # Total time : 0.022 s
% 8.47/2.29 # ...preprocessing : 0.017 s
% 8.47/2.29 # ...main loop : 0.005 s
% 8.47/2.29 # Maximum resident set size: 7128 pages
% 8.47/2.29
%------------------------------------------------------------------------------