%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO223+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n010.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 7.64s 2.38s
% Output : CNFRefutation 7.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of clauses : 44 ( 17 unt; 23 nHn; 22 RR)
% Number of literals : 97 ( 0 equ; 30 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 79 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_18,plain,
( convergent_lines(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1)
| ~ distinct_lines(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fj0wq6ay/input.p',i_0_18) ).
cnf(i_0_14,negated_conjecture,
distinct_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fj0wq6ay/input.p',i_0_14) ).
cnf(i_0_26,plain,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| unorthogonal_lines(X2,X4)
| unorthogonal_lines(X3,X4)
| ~ distinct_lines(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fj0wq6ay/input.p',i_0_26) ).
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-fj0wq6ay/input.p',i_0_6) ).
cnf(i_0_24,plain,
~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fj0wq6ay/input.p',i_0_24) ).
cnf(i_0_25,plain,
~ apart_point_and_line(X1,orthogonal_through_point(X2,X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fj0wq6ay/input.p',i_0_25) ).
cnf(i_0_16,plain,
~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fj0wq6ay/input.p',i_0_16) ).
cnf(i_0_13,plain,
( ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fj0wq6ay/input.p',i_0_13) ).
cnf(i_0_3,plain,
~ convergent_lines(X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fj0wq6ay/input.p',i_0_3) ).
cnf(i_0_23,plain,
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fj0wq6ay/input.p',i_0_23) ).
cnf(i_0_12,plain,
( ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fj0wq6ay/input.p',i_0_12) ).
cnf(i_0_21,plain,
( convergent_lines(X1,X2)
| unorthogonal_lines(X3,X2)
| ~ convergent_lines(X1,X3)
| ~ unorthogonal_lines(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fj0wq6ay/input.p',i_0_21) ).
cnf(i_0_15,plain,
~ convergent_lines(parallel_through_point(X1,X2),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fj0wq6ay/input.p',i_0_15) ).
cnf(c_0_40,plain,
( convergent_lines(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1)
| ~ distinct_lines(X1,X2) ),
i_0_18 ).
cnf(c_0_41,negated_conjecture,
distinct_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
i_0_14 ).
cnf(c_0_42,plain,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| unorthogonal_lines(X2,X4)
| unorthogonal_lines(X3,X4)
| ~ distinct_lines(X3,X2) ),
i_0_26 ).
cnf(c_0_43,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
i_0_6 ).
cnf(c_0_44,negated_conjecture,
( apart_point_and_line(X1,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0))
| apart_point_and_line(X1,parallel_through_point(esk2_0,esk1_0))
| convergent_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
i_0_24 ).
cnf(c_0_46,negated_conjecture,
( unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X1)
| unorthogonal_lines(parallel_through_point(esk2_0,esk1_0),X1)
| apart_point_and_line(X2,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0))
| apart_point_and_line(X2,parallel_through_point(esk2_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_42,c_0_41]) ).
cnf(c_0_47,plain,
~ apart_point_and_line(X1,orthogonal_through_point(X2,X1)),
i_0_25 ).
cnf(c_0_48,plain,
( apart_point_and_line(X1,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0))
| apart_point_and_line(X1,parallel_through_point(esk2_0,esk1_0))
| convergent_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X2)
| convergent_lines(parallel_through_point(esk2_0,esk1_0),X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,plain,
~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
i_0_16 ).
cnf(c_0_50,plain,
( ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
i_0_13 ).
cnf(c_0_51,plain,
( unorthogonal_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(esk2_0,esk1_0))
| apart_point_and_line(X1,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0))
| apart_point_and_line(X1,parallel_through_point(esk2_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,plain,
~ convergent_lines(X1,X1),
i_0_3 ).
cnf(c_0_53,plain,
( convergent_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X1)
| convergent_lines(parallel_through_point(esk2_0,esk1_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_54,plain,
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
i_0_23 ).
cnf(c_0_55,plain,
( unorthogonal_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(esk2_0,esk1_0))
| apart_point_and_line(intersection_point(X1,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),parallel_through_point(esk2_0,esk1_0))
| ~ convergent_lines(X1,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,plain,
convergent_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_57,plain,
convergent_lines(orthogonal_through_point(X1,X2),X1),
inference(spm,[status(thm)],[c_0_45,c_0_54]) ).
cnf(c_0_58,plain,
( ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
i_0_12 ).
cnf(c_0_59,plain,
( unorthogonal_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(esk2_0,esk1_0))
| apart_point_and_line(intersection_point(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),parallel_through_point(esk2_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_60,plain,
( convergent_lines(orthogonal_through_point(X1,X2),X3)
| convergent_lines(X1,X3) ),
inference(spm,[status(thm)],[c_0_43,c_0_57]) ).
cnf(c_0_61,plain,
( convergent_lines(X1,X2)
| unorthogonal_lines(X3,X2)
| ~ convergent_lines(X1,X3)
| ~ unorthogonal_lines(X1,X3) ),
i_0_21 ).
cnf(c_0_62,plain,
unorthogonal_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(esk2_0,esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_56])]) ).
cnf(c_0_63,plain,
( convergent_lines(orthogonal_through_point(X1,X2),X3)
| convergent_lines(X1,X4)
| convergent_lines(X4,X3) ),
inference(spm,[status(thm)],[c_0_43,c_0_60]) ).
cnf(c_0_64,plain,
( unorthogonal_lines(orthogonal_through_point(esk2_0,esk1_0),X1)
| convergent_lines(parallel_through_point(esk2_0,esk1_0),X1)
| ~ convergent_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(esk2_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_65,plain,
( convergent_lines(X1,orthogonal_through_point(X2,X3))
| convergent_lines(X2,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_63]) ).
cnf(c_0_66,plain,
( unorthogonal_lines(orthogonal_through_point(esk2_0,esk1_0),X1)
| convergent_lines(esk2_0,parallel_through_point(esk2_0,esk1_0))
| convergent_lines(parallel_through_point(esk2_0,esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_67,plain,
~ convergent_lines(parallel_through_point(X1,X2),X1),
i_0_15 ).
cnf(c_0_68,plain,
convergent_lines(esk2_0,parallel_through_point(esk2_0,esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_66]),c_0_67]) ).
cnf(c_0_69,plain,
( convergent_lines(parallel_through_point(esk2_0,esk1_0),X1)
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_68]) ).
cnf(c_0_70,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_69]),c_0_52]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO223+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n010.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 : Sat Jun 18 11:49:10 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
% 7.64/2.38 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 7.64/2.38 # Version: 2.1pre011
% 7.64/2.38 # Preprocessing time : 0.016 s
% 7.64/2.38
% 7.64/2.38 # Proof found!
% 7.64/2.38 # SZS status Theorem
% 7.64/2.38 # SZS output start CNFRefutation
% See solution above
% 7.64/2.38 # Proof object total steps : 44
% 7.64/2.38 # Proof object clause steps : 31
% 7.64/2.38 # Proof object formula steps : 13
% 7.64/2.38 # Proof object conjectures : 4
% 7.64/2.38 # Proof object clause conjectures : 3
% 7.64/2.38 # Proof object formula conjectures : 1
% 7.64/2.38 # Proof object initial clauses used : 13
% 7.64/2.38 # Proof object initial formulas used : 13
% 7.64/2.38 # Proof object generating inferences : 18
% 7.64/2.38 # Proof object simplifying inferences : 5
% 7.64/2.38 # Training examples: 0 positive, 0 negative
% 7.64/2.38 # Parsed axioms : 26
% 7.64/2.38 # Removed by relevancy pruning/SinE : 0
% 7.64/2.38 # Initial clauses : 26
% 7.64/2.38 # Removed in clause preprocessing : 0
% 7.64/2.38 # Initial clauses in saturation : 26
% 7.64/2.38 # Processed clauses : 188
% 7.64/2.38 # ...of these trivial : 1
% 7.64/2.38 # ...subsumed : 76
% 7.64/2.38 # ...remaining for further processing : 111
% 7.64/2.38 # Other redundant clauses eliminated : 0
% 7.64/2.38 # Clauses deleted for lack of memory : 0
% 7.64/2.38 # Backward-subsumed : 11
% 7.64/2.38 # Backward-rewritten : 19
% 7.64/2.38 # Generated clauses : 769
% 7.64/2.38 # ...of the previous two non-trivial : 719
% 7.64/2.38 # Contextual simplify-reflections : 12
% 7.64/2.38 # Paramodulations : 663
% 7.64/2.38 # Factorizations : 106
% 7.64/2.38 # Equation resolutions : 0
% 7.64/2.38 # Propositional unsat checks : 0
% 7.64/2.38 # Propositional unsat check successes : 0
% 7.64/2.38 # Current number of processed clauses : 81
% 7.64/2.38 # Positive orientable unit clauses : 12
% 7.64/2.38 # Positive unorientable unit clauses: 0
% 7.64/2.38 # Negative unit clauses : 7
% 7.64/2.38 # Non-unit-clauses : 62
% 7.64/2.38 # Current number of unprocessed clauses: 412
% 7.64/2.38 # ...number of literals in the above : 2066
% 7.64/2.38 # Current number of archived formulas : 0
% 7.64/2.38 # Current number of archived clauses : 30
% 7.64/2.38 # Clause-clause subsumption calls (NU) : 1311
% 7.64/2.38 # Rec. Clause-clause subsumption calls : 792
% 7.64/2.38 # Non-unit clause-clause subsumptions : 66
% 7.64/2.38 # Unit Clause-clause subsumption calls : 131
% 7.64/2.38 # Rewrite failures with RHS unbound : 0
% 7.64/2.38 # BW rewrite match attempts : 14
% 7.64/2.38 # BW rewrite match successes : 5
% 7.64/2.38 # Condensation attempts : 0
% 7.64/2.38 # Condensation successes : 0
% 7.64/2.38 # Termbank termtop insertions : 11484
% 7.64/2.38
% 7.64/2.38 # -------------------------------------------------
% 7.64/2.38 # User time : 0.029 s
% 7.64/2.38 # System time : 0.002 s
% 7.64/2.38 # Total time : 0.032 s
% 7.64/2.38 # ...preprocessing : 0.016 s
% 7.64/2.38 # ...main loop : 0.016 s
% 7.64/2.38 # Maximum resident set size: 7136 pages
% 7.64/2.38
%------------------------------------------------------------------------------