%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO181+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 03:44:01 EDT 2022
% Result : Theorem 6.98s 2.37s
% Output : CNFRefutation 6.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 32 ( 12 unt; 16 nHn; 21 RR)
% Number of literals : 77 ( 0 equ; 24 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 : 44 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_18,plain,
( apart_point_and_line(X1,X2)
| distinct_lines(X3,X2)
| ~ apart_point_and_line(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ef1hb8ac/input.p',i_0_18) ).
cnf(i_0_27,negated_conjecture,
apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ef1hb8ac/input.p',i_0_27) ).
cnf(i_0_17,plain,
( apart_point_and_line(X1,X2)
| distinct_points(X3,X1)
| ~ apart_point_and_line(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ef1hb8ac/input.p',i_0_17) ).
cnf(i_0_36,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-ef1hb8ac/input.p',i_0_36) ).
cnf(i_0_20,plain,
( ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ef1hb8ac/input.p',i_0_20) ).
cnf(i_0_28,negated_conjecture,
distinct_points(esk1_0,esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ef1hb8ac/input.p',i_0_28) ).
cnf(i_0_10,plain,
( distinct_points(X1,X2)
| distinct_points(X3,X2)
| ~ distinct_points(X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ef1hb8ac/input.p',i_0_10) ).
cnf(i_0_21,plain,
( ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ef1hb8ac/input.p',i_0_21) ).
cnf(i_0_7,plain,
~ distinct_points(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ef1hb8ac/input.p',i_0_7) ).
cnf(i_0_26,negated_conjecture,
~ apart_point_and_line(esk2_0,line_connecting(esk1_0,esk3_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ef1hb8ac/input.p',i_0_26) ).
cnf(c_0_47,plain,
( apart_point_and_line(X1,X2)
| distinct_lines(X3,X2)
| ~ apart_point_and_line(X1,X3) ),
i_0_18 ).
cnf(c_0_48,negated_conjecture,
apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)),
i_0_27 ).
cnf(c_0_49,plain,
( apart_point_and_line(X1,X2)
| distinct_points(X3,X1)
| ~ apart_point_and_line(X3,X2) ),
i_0_17 ).
cnf(c_0_50,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_36 ).
cnf(c_0_51,negated_conjecture,
( distinct_lines(line_connecting(esk1_0,esk2_0),X1)
| apart_point_and_line(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_52,plain,
( ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
i_0_20 ).
cnf(c_0_53,negated_conjecture,
( apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
| distinct_points(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_48]) ).
cnf(c_0_54,negated_conjecture,
distinct_points(esk1_0,esk2_0),
i_0_28 ).
cnf(c_0_55,plain,
( apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(X2,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk3_0,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X3)
| ~ distinct_points(X1,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,plain,
( distinct_points(X1,X2)
| distinct_points(X3,X2)
| ~ distinct_points(X3,X1) ),
i_0_10 ).
cnf(c_0_57,plain,
distinct_points(esk3_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]) ).
cnf(c_0_58,plain,
( ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
i_0_21 ).
cnf(c_0_59,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,X1)
| apart_point_and_line(esk1_0,X1)
| apart_point_and_line(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_54]) ).
cnf(c_0_60,plain,
~ distinct_points(X1,X1),
i_0_7 ).
cnf(c_0_61,plain,
( distinct_points(esk3_0,X1)
| distinct_points(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,plain,
( 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(X1,esk3_0))
| apart_point_and_line(esk2_0,line_connecting(X1,esk3_0))
| ~ distinct_points(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_63,plain,
distinct_points(esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_64,negated_conjecture,
~ apart_point_and_line(esk2_0,line_connecting(esk1_0,esk3_0)),
i_0_26 ).
cnf(c_0_65,plain,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk3_0))
| 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(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_66,plain,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_65]),c_0_63])]) ).
cnf(c_0_67,plain,
apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_66]),c_0_54])]) ).
cnf(c_0_68,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_67]),c_0_54])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO181+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n018.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 17:52:35 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected SinE mode:
% 0.20/0.47 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.47 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.47 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 6.98/2.37 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 6.98/2.37 # Version: 2.1pre011
% 6.98/2.37 # Preprocessing time : 0.010 s
% 6.98/2.37
% 6.98/2.37 # Proof found!
% 6.98/2.37 # SZS status Theorem
% 6.98/2.37 # SZS output start CNFRefutation
% See solution above
% 6.98/2.37 # Proof object total steps : 32
% 6.98/2.37 # Proof object clause steps : 22
% 6.98/2.37 # Proof object formula steps : 10
% 6.98/2.37 # Proof object conjectures : 9
% 6.98/2.37 # Proof object clause conjectures : 6
% 6.98/2.37 # Proof object formula conjectures : 3
% 6.98/2.37 # Proof object initial clauses used : 10
% 6.98/2.37 # Proof object initial formulas used : 10
% 6.98/2.37 # Proof object generating inferences : 12
% 6.98/2.37 # Proof object simplifying inferences : 9
% 6.98/2.37 # Training examples: 0 positive, 0 negative
% 6.98/2.37 # Parsed axioms : 49
% 6.98/2.37 # Removed by relevancy pruning/SinE : 0
% 6.98/2.37 # Initial clauses : 49
% 6.98/2.37 # Removed in clause preprocessing : 0
% 6.98/2.37 # Initial clauses in saturation : 49
% 6.98/2.37 # Processed clauses : 85
% 6.98/2.37 # ...of these trivial : 0
% 6.98/2.37 # ...subsumed : 9
% 6.98/2.37 # ...remaining for further processing : 76
% 6.98/2.37 # Other redundant clauses eliminated : 0
% 6.98/2.37 # Clauses deleted for lack of memory : 0
% 6.98/2.37 # Backward-subsumed : 3
% 6.98/2.37 # Backward-rewritten : 1
% 6.98/2.37 # Generated clauses : 255
% 6.98/2.37 # ...of the previous two non-trivial : 190
% 6.98/2.37 # Contextual simplify-reflections : 4
% 6.98/2.37 # Paramodulations : 233
% 6.98/2.37 # Factorizations : 22
% 6.98/2.37 # Equation resolutions : 0
% 6.98/2.37 # Propositional unsat checks : 0
% 6.98/2.37 # Propositional unsat check successes : 0
% 6.98/2.37 # Current number of processed clauses : 72
% 6.98/2.37 # Positive orientable unit clauses : 9
% 6.98/2.37 # Positive unorientable unit clauses: 0
% 6.98/2.37 # Negative unit clauses : 8
% 6.98/2.37 # Non-unit-clauses : 55
% 6.98/2.37 # Current number of unprocessed clauses: 136
% 6.98/2.37 # ...number of literals in the above : 673
% 6.98/2.37 # Current number of archived formulas : 0
% 6.98/2.37 # Current number of archived clauses : 4
% 6.98/2.37 # Clause-clause subsumption calls (NU) : 539
% 6.98/2.37 # Rec. Clause-clause subsumption calls : 247
% 6.98/2.37 # Non-unit clause-clause subsumptions : 16
% 6.98/2.37 # Unit Clause-clause subsumption calls : 44
% 6.98/2.37 # Rewrite failures with RHS unbound : 0
% 6.98/2.37 # BW rewrite match attempts : 1
% 6.98/2.37 # BW rewrite match successes : 1
% 6.98/2.37 # Condensation attempts : 0
% 6.98/2.37 # Condensation successes : 0
% 6.98/2.37 # Termbank termtop insertions : 4514
% 6.98/2.37
% 6.98/2.37 # -------------------------------------------------
% 6.98/2.37 # User time : 0.011 s
% 6.98/2.37 # System time : 0.003 s
% 6.98/2.37 # Total time : 0.014 s
% 6.98/2.37 # ...preprocessing : 0.010 s
% 6.98/2.37 # ...main loop : 0.005 s
% 6.98/2.37 # Maximum resident set size: 7132 pages
% 6.98/2.37
%------------------------------------------------------------------------------