%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO189+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n004.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 03:44:08 EDT 2022
% Result : Theorem 7.85s 2.43s
% Output : CNFRefutation 7.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of clauses : 34 ( 13 unt; 17 nHn; 21 RR)
% Number of literals : 83 ( 0 equ; 21 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_4,plain,
( distinct_points(X1,X2)
| distinct_points(X3,X2)
| ~ distinct_points(X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1t5echzt/input.p',i_0_4) ).
cnf(i_0_17,negated_conjecture,
distinct_points(esk1_0,esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1t5echzt/input.p',i_0_17) ).
cnf(i_0_1,plain,
~ distinct_points(X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1t5echzt/input.p',i_0_1) ).
cnf(i_0_8,plain,
( distinct_lines(X1,X2)
| apart_point_and_line(X3,X2)
| ~ apart_point_and_line(X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1t5echzt/input.p',i_0_8) ).
cnf(i_0_14,negated_conjecture,
apart_point_and_line(esk2_0,line_connecting(esk1_0,esk3_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1t5echzt/input.p',i_0_14) ).
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-1t5echzt/input.p',i_0_19) ).
cnf(i_0_10,plain,
( distinct_points(X1,X2)
| ~ distinct_points(X3,X2)
| ~ apart_point_and_line(X1,line_connecting(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1t5echzt/input.p',i_0_10) ).
cnf(i_0_15,negated_conjecture,
~ apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1t5echzt/input.p',i_0_15) ).
cnf(i_0_11,plain,
( distinct_points(X1,X2)
| ~ distinct_points(X2,X3)
| ~ apart_point_and_line(X1,line_connecting(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1t5echzt/input.p',i_0_11) ).
cnf(i_0_18,negated_conjecture,
distinct_points(esk1_0,esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1t5echzt/input.p',i_0_18) ).
cnf(c_0_30,plain,
( distinct_points(X1,X2)
| distinct_points(X3,X2)
| ~ distinct_points(X3,X1) ),
i_0_4 ).
cnf(c_0_31,negated_conjecture,
distinct_points(esk1_0,esk3_0),
i_0_17 ).
cnf(c_0_32,negated_conjecture,
( distinct_points(esk1_0,X1)
| distinct_points(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_33,plain,
~ distinct_points(X1,X1),
i_0_1 ).
cnf(c_0_34,plain,
( distinct_points(esk1_0,X1)
| distinct_points(esk3_0,X2)
| distinct_points(X1,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_32]) ).
cnf(c_0_35,plain,
( distinct_points(X1,esk3_0)
| distinct_points(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_36,plain,
( distinct_lines(X1,X2)
| apart_point_and_line(X3,X2)
| ~ apart_point_and_line(X3,X1) ),
i_0_8 ).
cnf(c_0_37,negated_conjecture,
apart_point_and_line(esk2_0,line_connecting(esk1_0,esk3_0)),
i_0_14 ).
cnf(c_0_38,plain,
( distinct_points(X1,esk3_0)
| distinct_points(esk1_0,X2)
| distinct_points(X1,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_35]) ).
cnf(c_0_39,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_40,negated_conjecture,
( distinct_lines(line_connecting(esk1_0,esk3_0),X1)
| apart_point_and_line(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,plain,
( distinct_points(X1,esk1_0)
| distinct_points(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_38]) ).
cnf(c_0_42,plain,
( apart_point_and_line(X1,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(X2,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(esk2_0,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X3)
| ~ distinct_points(X1,X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,plain,
distinct_points(esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_33,c_0_41]) ).
cnf(c_0_44,plain,
( distinct_points(X1,X2)
| ~ distinct_points(X3,X2)
| ~ apart_point_and_line(X1,line_connecting(X3,X2)) ),
i_0_10 ).
cnf(c_0_45,plain,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(esk3_0,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(esk1_0,X1)
| apart_point_and_line(esk3_0,X1)
| apart_point_and_line(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,negated_conjecture,
~ apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)),
i_0_15 ).
cnf(c_0_47,plain,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(esk2_0,X1)
| apart_point_and_line(esk3_0,X1)
| apart_point_and_line(esk1_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_31])]),c_0_33]) ).
cnf(c_0_48,plain,
( distinct_points(X1,X2)
| ~ distinct_points(X2,X3)
| ~ apart_point_and_line(X1,line_connecting(X2,X3)) ),
i_0_11 ).
cnf(c_0_49,negated_conjecture,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk1_0,line_connecting(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_50,plain,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_31])]),c_0_33]) ).
cnf(c_0_51,negated_conjecture,
distinct_points(esk1_0,esk2_0),
i_0_18 ).
cnf(c_0_52,plain,
apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_50]),c_0_51])]),c_0_33]) ).
cnf(c_0_53,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_52]),c_0_51])]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO189+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 08:22:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.44 # 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
% 7.85/2.43 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 7.85/2.43 # Version: 2.1pre011
% 7.85/2.43 # Preprocessing time : 0.011 s
% 7.85/2.43
% 7.85/2.43 # Proof found!
% 7.85/2.43 # SZS status Theorem
% 7.85/2.43 # SZS output start CNFRefutation
% See solution above
% 7.85/2.43 # Proof object total steps : 34
% 7.85/2.43 # Proof object clause steps : 24
% 7.85/2.43 # Proof object formula steps : 10
% 7.85/2.43 # Proof object conjectures : 11
% 7.85/2.43 # Proof object clause conjectures : 7
% 7.85/2.43 # Proof object formula conjectures : 4
% 7.85/2.43 # Proof object initial clauses used : 10
% 7.85/2.43 # Proof object initial formulas used : 10
% 7.85/2.43 # Proof object generating inferences : 14
% 7.85/2.43 # Proof object simplifying inferences : 12
% 7.85/2.43 # Training examples: 0 positive, 0 negative
% 7.85/2.43 # Parsed axioms : 19
% 7.85/2.43 # Removed by relevancy pruning/SinE : 0
% 7.85/2.43 # Initial clauses : 19
% 7.85/2.43 # Removed in clause preprocessing : 0
% 7.85/2.43 # Initial clauses in saturation : 19
% 7.85/2.43 # Processed clauses : 188
% 7.85/2.43 # ...of these trivial : 0
% 7.85/2.43 # ...subsumed : 106
% 7.85/2.43 # ...remaining for further processing : 82
% 7.85/2.43 # Other redundant clauses eliminated : 0
% 7.85/2.43 # Clauses deleted for lack of memory : 0
% 7.85/2.43 # Backward-subsumed : 2
% 7.85/2.43 # Backward-rewritten : 1
% 7.85/2.43 # Generated clauses : 697
% 7.85/2.43 # ...of the previous two non-trivial : 527
% 7.85/2.43 # Contextual simplify-reflections : 24
% 7.85/2.43 # Paramodulations : 425
% 7.85/2.43 # Factorizations : 272
% 7.85/2.43 # Equation resolutions : 0
% 7.85/2.43 # Propositional unsat checks : 0
% 7.85/2.43 # Propositional unsat check successes : 0
% 7.85/2.43 # Current number of processed clauses : 79
% 7.85/2.43 # Positive orientable unit clauses : 8
% 7.85/2.43 # Positive unorientable unit clauses: 0
% 7.85/2.43 # Negative unit clauses : 4
% 7.85/2.43 # Non-unit-clauses : 67
% 7.85/2.43 # Current number of unprocessed clauses: 346
% 7.85/2.43 # ...number of literals in the above : 1722
% 7.85/2.43 # Current number of archived formulas : 0
% 7.85/2.43 # Current number of archived clauses : 3
% 7.85/2.43 # Clause-clause subsumption calls (NU) : 1714
% 7.85/2.43 # Rec. Clause-clause subsumption calls : 903
% 7.85/2.43 # Non-unit clause-clause subsumptions : 114
% 7.85/2.43 # Unit Clause-clause subsumption calls : 30
% 7.85/2.43 # Rewrite failures with RHS unbound : 0
% 7.85/2.43 # BW rewrite match attempts : 1
% 7.85/2.43 # BW rewrite match successes : 1
% 7.85/2.43 # Condensation attempts : 0
% 7.85/2.43 # Condensation successes : 0
% 7.85/2.43 # Termbank termtop insertions : 7897
% 7.85/2.43
% 7.85/2.43 # -------------------------------------------------
% 7.85/2.43 # User time : 0.016 s
% 7.85/2.43 # System time : 0.004 s
% 7.85/2.43 # Total time : 0.020 s
% 7.85/2.43 # ...preprocessing : 0.011 s
% 7.85/2.43 # ...main loop : 0.009 s
% 7.85/2.43 # Maximum resident set size: 7136 pages
% 7.85/2.43
%------------------------------------------------------------------------------