TSTP Solution File: GEO209+2 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO209+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:34:25 EDT 2023
% Result : Theorem 0.16s 0.45s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 59 ( 23 ~; 19 |; 13 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 30 ( 0 sgn; 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X6,X7,X8,X9] :
( ( apart_point_and_line(X6,X7)
& ~ apart_point_and_line(X6,X8)
& ~ apart_point_and_line(X6,X9)
& ~ convergent_lines(X8,X7)
& ~ convergent_lines(X9,X7) )
=> ~ distinct_lines(X8,X9) ),
file('/export/starexec/sandbox2/tmp/tmp.JGVSIMF5yh/E---3.1_473.p',con) ).
fof(cup1,axiom,
! [X1,X2,X3] :
( distinct_lines(X2,X3)
=> ( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| convergent_lines(X2,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JGVSIMF5yh/E---3.1_473.p',cup1) ).
fof(apart6,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X3)
| convergent_lines(X2,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JGVSIMF5yh/E---3.1_473.p',apart6) ).
fof(c_0_3,negated_conjecture,
~ ! [X6,X7,X8,X9] :
( ( apart_point_and_line(X6,X7)
& ~ apart_point_and_line(X6,X8)
& ~ apart_point_and_line(X6,X9)
& ~ convergent_lines(X8,X7)
& ~ convergent_lines(X9,X7) )
=> ~ distinct_lines(X8,X9) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]) ).
fof(c_0_4,plain,
! [X27,X28,X29] :
( ~ distinct_lines(X28,X29)
| apart_point_and_line(X27,X28)
| apart_point_and_line(X27,X29)
| convergent_lines(X28,X29) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cup1])]) ).
fof(c_0_5,negated_conjecture,
( apart_point_and_line(esk1_0,esk2_0)
& ~ apart_point_and_line(esk1_0,esk3_0)
& ~ apart_point_and_line(esk1_0,esk4_0)
& ~ convergent_lines(esk3_0,esk2_0)
& ~ convergent_lines(esk4_0,esk2_0)
& distinct_lines(esk3_0,esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_6,plain,
! [X31,X32,X33] :
( ~ convergent_lines(X31,X32)
| convergent_lines(X31,X33)
| convergent_lines(X32,X33) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[apart6])]) ).
cnf(c_0_7,plain,
( apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X2)
| convergent_lines(X1,X2)
| ~ distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
distinct_lines(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( convergent_lines(X1,X3)
| convergent_lines(X2,X3)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( apart_point_and_line(X1,esk3_0)
| apart_point_and_line(X1,esk4_0)
| convergent_lines(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
~ convergent_lines(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
( apart_point_and_line(X1,esk4_0)
| apart_point_and_line(X1,esk3_0)
| convergent_lines(esk3_0,X2)
| convergent_lines(esk4_0,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
~ convergent_lines(esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
~ apart_point_and_line(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
( apart_point_and_line(X1,esk3_0)
| apart_point_and_line(X1,esk4_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_16,negated_conjecture,
~ apart_point_and_line(esk1_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GEO209+2 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n029.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Oct 3 06:29:37 EDT 2023
% 0.16/0.32 % CPUTime :
% 0.16/0.43 Running first-order model finding
% 0.16/0.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.JGVSIMF5yh/E---3.1_473.p
% 0.16/0.45 # Version: 3.1pre001
% 0.16/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 # Starting sh5l with 300s (1) cores
% 0.16/0.45 # new_bool_3 with pid 570 completed with status 0
% 0.16/0.45 # Result found by new_bool_3
% 0.16/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45 # Search class: FGUNF-FFSF00-SFFFFFNN
% 0.16/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.45 # SAT001_MinMin_p005000_rr_RG with pid 573 completed with status 0
% 0.16/0.45 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45 # Search class: FGUNF-FFSF00-SFFFFFNN
% 0.16/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.45 # Preprocessing time : 0.001 s
% 0.16/0.45 # Presaturation interreduction done
% 0.16/0.45
% 0.16/0.45 # Proof found!
% 0.16/0.45 # SZS status Theorem
% 0.16/0.45 # SZS output start CNFRefutation
% See solution above
% 0.16/0.45 # Parsed axioms : 16
% 0.16/0.45 # Removed by relevancy pruning/SinE : 4
% 0.16/0.45 # Initial clauses : 17
% 0.16/0.45 # Removed in clause preprocessing : 0
% 0.16/0.45 # Initial clauses in saturation : 17
% 0.16/0.45 # Processed clauses : 47
% 0.16/0.45 # ...of these trivial : 0
% 0.16/0.45 # ...subsumed : 2
% 0.16/0.45 # ...remaining for further processing : 45
% 0.16/0.45 # Other redundant clauses eliminated : 0
% 0.16/0.45 # Clauses deleted for lack of memory : 0
% 0.16/0.45 # Backward-subsumed : 5
% 0.16/0.45 # Backward-rewritten : 0
% 0.16/0.45 # Generated clauses : 42
% 0.16/0.45 # ...of the previous two non-redundant : 34
% 0.16/0.45 # ...aggressively subsumed : 0
% 0.16/0.45 # Contextual simplify-reflections : 0
% 0.16/0.45 # Paramodulations : 42
% 0.16/0.45 # Factorizations : 0
% 0.16/0.45 # NegExts : 0
% 0.16/0.45 # Equation resolutions : 0
% 0.16/0.45 # Total rewrite steps : 5
% 0.16/0.45 # Propositional unsat checks : 0
% 0.16/0.45 # Propositional check models : 0
% 0.16/0.45 # Propositional check unsatisfiable : 0
% 0.16/0.45 # Propositional clauses : 0
% 0.16/0.45 # Propositional clauses after purity: 0
% 0.16/0.45 # Propositional unsat core size : 0
% 0.16/0.45 # Propositional preprocessing time : 0.000
% 0.16/0.45 # Propositional encoding time : 0.000
% 0.16/0.45 # Propositional solver time : 0.000
% 0.16/0.45 # Success case prop preproc time : 0.000
% 0.16/0.45 # Success case prop encoding time : 0.000
% 0.16/0.45 # Success case prop solver time : 0.000
% 0.16/0.45 # Current number of processed clauses : 23
% 0.16/0.45 # Positive orientable unit clauses : 3
% 0.16/0.45 # Positive unorientable unit clauses: 0
% 0.16/0.45 # Negative unit clauses : 7
% 0.16/0.45 # Non-unit-clauses : 13
% 0.16/0.45 # Current number of unprocessed clauses: 21
% 0.16/0.45 # ...number of literals in the above : 90
% 0.16/0.45 # Current number of archived formulas : 0
% 0.16/0.45 # Current number of archived clauses : 22
% 0.16/0.45 # Clause-clause subsumption calls (NU) : 30
% 0.16/0.45 # Rec. Clause-clause subsumption calls : 13
% 0.16/0.45 # Non-unit clause-clause subsumptions : 7
% 0.16/0.45 # Unit Clause-clause subsumption calls : 7
% 0.16/0.45 # Rewrite failures with RHS unbound : 0
% 0.16/0.45 # BW rewrite match attempts : 0
% 0.16/0.45 # BW rewrite match successes : 0
% 0.16/0.45 # Condensation attempts : 0
% 0.16/0.45 # Condensation successes : 0
% 0.16/0.45 # Termbank termtop insertions : 1568
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.003 s
% 0.16/0.45 # System time : 0.003 s
% 0.16/0.45 # Total time : 0.006 s
% 0.16/0.45 # Maximum resident set size: 1764 pages
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.005 s
% 0.16/0.45 # System time : 0.004 s
% 0.16/0.45 # Total time : 0.009 s
% 0.16/0.45 # Maximum resident set size: 1692 pages
% 0.16/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------