%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO195+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 03:44:13 EDT 2022
% Result : Theorem 8.32s 2.48s
% Output : CNFRefutation 8.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of clauses : 41 ( 16 unt; 17 nHn; 37 RR)
% Number of literals : 107 ( 0 equ; 37 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_19,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/sandbox2/tmp/enigma-theBenchmark.p-vs077ov3/input.p',i_0_19) ).
cnf(i_0_9,plain,
( distinct_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vs077ov3/input.p',i_0_9) ).
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-vs077ov3/input.p',i_0_6) ).
cnf(i_0_18,negated_conjecture,
convergent_lines(esk1_0,esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vs077ov3/input.p',i_0_18) ).
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/sandbox2/tmp/enigma-theBenchmark.p-vs077ov3/input.p',i_0_12) ).
cnf(i_0_3,plain,
~ convergent_lines(X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vs077ov3/input.p',i_0_3) ).
cnf(i_0_17,negated_conjecture,
convergent_lines(esk3_0,esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vs077ov3/input.p',i_0_17) ).
cnf(i_0_15,negated_conjecture,
apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vs077ov3/input.p',i_0_15) ).
cnf(i_0_1,plain,
~ distinct_points(X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vs077ov3/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/sandbox2/tmp/enigma-theBenchmark.p-vs077ov3/input.p',i_0_13) ).
cnf(i_0_14,negated_conjecture,
~ apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vs077ov3/input.p',i_0_14) ).
cnf(c_0_31,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_19 ).
cnf(c_0_32,plain,
( distinct_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
i_0_9 ).
cnf(c_0_33,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
i_0_6 ).
cnf(c_0_34,negated_conjecture,
convergent_lines(esk1_0,esk2_0),
i_0_18 ).
cnf(c_0_35,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(X1,X4)
| ~ convergent_lines(X2,X3) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
( distinct_points(X1,intersection_point(X2,X3))
| ~ convergent_lines(X2,X3)
| ~ apart_point_and_line(X1,X3) ),
i_0_12 ).
cnf(c_0_37,plain,
~ convergent_lines(X1,X1),
i_0_3 ).
cnf(c_0_38,negated_conjecture,
( convergent_lines(esk1_0,X1)
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
( apart_point_and_line(intersection_point(X1,X2),X3)
| apart_point_and_line(intersection_point(X1,X2),X4)
| apart_point_and_line(X5,X3)
| apart_point_and_line(X5,X4)
| ~ apart_point_and_line(X5,X2)
| ~ convergent_lines(X4,X3)
| ~ convergent_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,plain,
convergent_lines(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,negated_conjecture,
convergent_lines(esk3_0,esk2_0),
i_0_17 ).
cnf(c_0_42,plain,
( apart_point_and_line(intersection_point(X1,X2),esk2_0)
| apart_point_and_line(intersection_point(X1,X2),esk1_0)
| apart_point_and_line(X3,esk2_0)
| apart_point_and_line(X3,esk1_0)
| ~ apart_point_and_line(X3,X2)
| ~ convergent_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,negated_conjecture,
apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0),
i_0_15 ).
cnf(c_0_44,negated_conjecture,
( convergent_lines(esk3_0,X1)
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_41]) ).
cnf(c_0_45,plain,
~ distinct_points(X1,X1),
i_0_1 ).
cnf(c_0_46,plain,
( distinct_points(X1,intersection_point(X2,X3))
| ~ convergent_lines(X2,X3)
| ~ apart_point_and_line(X1,X2) ),
i_0_13 ).
cnf(c_0_47,negated_conjecture,
( 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(X1,esk3_0),esk1_0)
| apart_point_and_line(intersection_point(X1,esk3_0),esk2_0)
| ~ convergent_lines(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,plain,
convergent_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_37,c_0_44]) ).
cnf(c_0_49,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X1)
| ~ convergent_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,plain,
( apart_point_and_line(intersection_point(esk2_0,esk3_0),esk2_0)
| apart_point_and_line(intersection_point(esk2_0,esk3_0),esk1_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_51,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X2)
| ~ convergent_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_36]) ).
cnf(c_0_52,plain,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(intersection_point(esk2_0,esk3_0),esk1_0)
| apart_point_and_line(intersection_point(esk2_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_34])]) ).
cnf(c_0_53,negated_conjecture,
( apart_point_and_line(intersection_point(X1,X2),esk3_0)
| apart_point_and_line(intersection_point(X1,X2),esk2_0)
| apart_point_and_line(X3,esk3_0)
| apart_point_and_line(X3,esk2_0)
| ~ apart_point_and_line(X3,X2)
| ~ convergent_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_41]) ).
cnf(c_0_54,plain,
( apart_point_and_line(intersection_point(esk2_0,esk3_0),esk2_0)
| apart_point_and_line(intersection_point(esk2_0,esk3_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_34])]) ).
cnf(c_0_55,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk3_0),esk2_0)
| apart_point_and_line(intersection_point(esk2_0,esk3_0),esk3_0)
| apart_point_and_line(intersection_point(X1,esk1_0),esk2_0)
| apart_point_and_line(intersection_point(X1,esk1_0),esk3_0)
| ~ convergent_lines(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_56,negated_conjecture,
~ apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0),
i_0_14 ).
cnf(c_0_57,plain,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(intersection_point(esk2_0,esk3_0),esk3_0)
| apart_point_and_line(intersection_point(esk2_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_40]),c_0_56]) ).
cnf(c_0_58,plain,
( apart_point_and_line(intersection_point(esk2_0,esk3_0),esk2_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_57]),c_0_48])]) ).
cnf(c_0_59,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_49,c_0_58]),c_0_48])]) ).
cnf(c_0_60,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_59]),c_0_40])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO195+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 18:13:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.46 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.32/2.48 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 8.32/2.48 # Version: 2.1pre011
% 8.32/2.48 # Preprocessing time : 0.017 s
% 8.32/2.48
% 8.32/2.48 # Proof found!
% 8.32/2.48 # SZS status Theorem
% 8.32/2.48 # SZS output start CNFRefutation
% See solution above
% 8.32/2.48 # Proof object total steps : 41
% 8.32/2.48 # Proof object clause steps : 30
% 8.32/2.48 # Proof object formula steps : 11
% 8.32/2.48 # Proof object conjectures : 13
% 8.32/2.48 # Proof object clause conjectures : 9
% 8.32/2.48 # Proof object formula conjectures : 4
% 8.32/2.48 # Proof object initial clauses used : 11
% 8.32/2.48 # Proof object initial formulas used : 11
% 8.32/2.48 # Proof object generating inferences : 19
% 8.32/2.48 # Proof object simplifying inferences : 11
% 8.32/2.48 # Training examples: 0 positive, 0 negative
% 8.32/2.48 # Parsed axioms : 19
% 8.32/2.48 # Removed by relevancy pruning/SinE : 0
% 8.32/2.48 # Initial clauses : 19
% 8.32/2.48 # Removed in clause preprocessing : 0
% 8.32/2.48 # Initial clauses in saturation : 19
% 8.32/2.48 # Processed clauses : 145
% 8.32/2.48 # ...of these trivial : 4
% 8.32/2.48 # ...subsumed : 44
% 8.32/2.48 # ...remaining for further processing : 97
% 8.32/2.48 # Other redundant clauses eliminated : 0
% 8.32/2.48 # Clauses deleted for lack of memory : 0
% 8.32/2.48 # Backward-subsumed : 4
% 8.32/2.48 # Backward-rewritten : 1
% 8.32/2.48 # Generated clauses : 726
% 8.32/2.48 # ...of the previous two non-trivial : 628
% 8.32/2.48 # Contextual simplify-reflections : 4
% 8.32/2.48 # Paramodulations : 616
% 8.32/2.48 # Factorizations : 110
% 8.32/2.48 # Equation resolutions : 0
% 8.32/2.48 # Propositional unsat checks : 0
% 8.32/2.48 # Propositional unsat check successes : 0
% 8.32/2.48 # Current number of processed clauses : 92
% 8.32/2.48 # Positive orientable unit clauses : 13
% 8.32/2.48 # Positive unorientable unit clauses: 0
% 8.32/2.48 # Negative unit clauses : 4
% 8.32/2.48 # Non-unit-clauses : 75
% 8.32/2.48 # Current number of unprocessed clauses: 469
% 8.32/2.48 # ...number of literals in the above : 2439
% 8.32/2.48 # Current number of archived formulas : 0
% 8.32/2.48 # Current number of archived clauses : 5
% 8.32/2.48 # Clause-clause subsumption calls (NU) : 888
% 8.32/2.48 # Rec. Clause-clause subsumption calls : 395
% 8.32/2.48 # Non-unit clause-clause subsumptions : 50
% 8.32/2.48 # Unit Clause-clause subsumption calls : 35
% 8.32/2.48 # Rewrite failures with RHS unbound : 0
% 8.32/2.48 # BW rewrite match attempts : 2
% 8.32/2.48 # BW rewrite match successes : 2
% 8.32/2.48 # Condensation attempts : 0
% 8.32/2.48 # Condensation successes : 0
% 8.32/2.48 # Termbank termtop insertions : 10262
% 8.32/2.48
% 8.32/2.48 # -------------------------------------------------
% 8.32/2.48 # User time : 0.026 s
% 8.32/2.48 # System time : 0.004 s
% 8.32/2.48 # Total time : 0.030 s
% 8.32/2.48 # ...preprocessing : 0.017 s
% 8.32/2.48 # ...main loop : 0.013 s
% 8.32/2.48 # Maximum resident set size: 7132 pages
% 8.32/2.48
%------------------------------------------------------------------------------