TSTP Solution File: GEO209+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO209+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 0.18s 0.46s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 72 ( 29 ~; 25 |; 13 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 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 : 44 ( 0 sgn; 29 !; 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.kYOjebrl1G/E---3.1_15927.p',con) ).
fof(apart2,axiom,
! [X1] : ~ distinct_lines(X1,X1),
file('/export/starexec/sandbox2/tmp/tmp.kYOjebrl1G/E---3.1_15927.p',apart2) ).
fof(apart5,axiom,
! [X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( distinct_lines(X1,X3)
| distinct_lines(X2,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.kYOjebrl1G/E---3.1_15927.p',apart5) ).
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.kYOjebrl1G/E---3.1_15927.p',cup1) ).
fof(ax6,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X3)
| convergent_lines(X2,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.kYOjebrl1G/E---3.1_15927.p',ax6) ).
fof(c_0_5,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_6,plain,
! [X1] : ~ distinct_lines(X1,X1),
inference(fof_simplification,[status(thm)],[apart2]) ).
fof(c_0_7,plain,
! [X15,X16,X17] :
( ~ distinct_lines(X15,X16)
| distinct_lines(X15,X17)
| distinct_lines(X16,X17) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[apart5])]) ).
fof(c_0_8,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_5])])]) ).
fof(c_0_9,plain,
! [X14] : ~ distinct_lines(X14,X14),
inference(variable_rename,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( distinct_lines(X1,X3)
| distinct_lines(X2,X3)
| ~ distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
distinct_lines(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_12,plain,
! [X28,X29,X30] :
( ~ distinct_lines(X29,X30)
| apart_point_and_line(X28,X29)
| apart_point_and_line(X28,X30)
| convergent_lines(X29,X30) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cup1])]) ).
cnf(c_0_13,plain,
~ distinct_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( distinct_lines(esk3_0,X1)
| distinct_lines(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
fof(c_0_15,plain,
! [X32,X33,X34] :
( ~ convergent_lines(X32,X33)
| convergent_lines(X32,X34)
| convergent_lines(X33,X34) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])]) ).
cnf(c_0_16,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_12]) ).
cnf(c_0_17,negated_conjecture,
distinct_lines(esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( convergent_lines(X1,X3)
| convergent_lines(X2,X3)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( apart_point_and_line(X1,esk4_0)
| apart_point_and_line(X1,esk3_0)
| convergent_lines(esk4_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
~ convergent_lines(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,negated_conjecture,
( apart_point_and_line(X1,esk3_0)
| apart_point_and_line(X1,esk4_0)
| convergent_lines(esk4_0,X2)
| convergent_lines(esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
~ convergent_lines(esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_23,negated_conjecture,
~ apart_point_and_line(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_24,negated_conjecture,
( apart_point_and_line(X1,esk4_0)
| apart_point_and_line(X1,esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_25,negated_conjecture,
~ apart_point_and_line(esk1_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO209+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.11 % Command : run_E %s %d THM
% 0.11/0.34 % Computer : n013.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 2400
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Tue Oct 3 06:58:59 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.18/0.45 Running first-order model finding
% 0.18/0.45 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.kYOjebrl1G/E---3.1_15927.p
% 0.18/0.46 # Version: 3.1pre001
% 0.18/0.46 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.46 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.46 # Starting sh5l with 300s (1) cores
% 0.18/0.46 # new_bool_3 with pid 16006 completed with status 0
% 0.18/0.46 # Result found by new_bool_3
% 0.18/0.46 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.46 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.46 # Search class: FGUNF-FFSF00-SFFFFFNN
% 0.18/0.46 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.46 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.18/0.46 # SAT001_MinMin_p005000_rr_RG with pid 16010 completed with status 0
% 0.18/0.46 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.18/0.46 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.46 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.46 # Search class: FGUNF-FFSF00-SFFFFFNN
% 0.18/0.46 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.46 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.18/0.46 # Preprocessing time : 0.001 s
% 0.18/0.46 # Presaturation interreduction done
% 0.18/0.46
% 0.18/0.46 # Proof found!
% 0.18/0.46 # SZS status Theorem
% 0.18/0.46 # SZS output start CNFRefutation
% See solution above
% 0.18/0.46 # Parsed axioms : 18
% 0.18/0.46 # Removed by relevancy pruning/SinE : 6
% 0.18/0.46 # Initial clauses : 17
% 0.18/0.46 # Removed in clause preprocessing : 0
% 0.18/0.46 # Initial clauses in saturation : 17
% 0.18/0.46 # Processed clauses : 51
% 0.18/0.46 # ...of these trivial : 0
% 0.18/0.46 # ...subsumed : 4
% 0.18/0.46 # ...remaining for further processing : 47
% 0.18/0.46 # Other redundant clauses eliminated : 0
% 0.18/0.46 # Clauses deleted for lack of memory : 0
% 0.18/0.46 # Backward-subsumed : 5
% 0.18/0.46 # Backward-rewritten : 0
% 0.18/0.46 # Generated clauses : 62
% 0.18/0.46 # ...of the previous two non-redundant : 53
% 0.18/0.46 # ...aggressively subsumed : 0
% 0.18/0.46 # Contextual simplify-reflections : 0
% 0.18/0.46 # Paramodulations : 60
% 0.18/0.46 # Factorizations : 2
% 0.18/0.46 # NegExts : 0
% 0.18/0.46 # Equation resolutions : 0
% 0.18/0.46 # Total rewrite steps : 6
% 0.18/0.46 # Propositional unsat checks : 0
% 0.18/0.46 # Propositional check models : 0
% 0.18/0.46 # Propositional check unsatisfiable : 0
% 0.18/0.46 # Propositional clauses : 0
% 0.18/0.46 # Propositional clauses after purity: 0
% 0.18/0.46 # Propositional unsat core size : 0
% 0.18/0.46 # Propositional preprocessing time : 0.000
% 0.18/0.46 # Propositional encoding time : 0.000
% 0.18/0.46 # Propositional solver time : 0.000
% 0.18/0.46 # Success case prop preproc time : 0.000
% 0.18/0.46 # Success case prop encoding time : 0.000
% 0.18/0.46 # Success case prop solver time : 0.000
% 0.18/0.46 # Current number of processed clauses : 25
% 0.18/0.46 # Positive orientable unit clauses : 3
% 0.18/0.46 # Positive unorientable unit clauses: 0
% 0.18/0.46 # Negative unit clauses : 7
% 0.18/0.46 # Non-unit-clauses : 15
% 0.18/0.46 # Current number of unprocessed clauses: 36
% 0.18/0.46 # ...number of literals in the above : 169
% 0.18/0.46 # Current number of archived formulas : 0
% 0.18/0.46 # Current number of archived clauses : 22
% 0.18/0.46 # Clause-clause subsumption calls (NU) : 50
% 0.18/0.46 # Rec. Clause-clause subsumption calls : 27
% 0.18/0.46 # Non-unit clause-clause subsumptions : 9
% 0.18/0.46 # Unit Clause-clause subsumption calls : 5
% 0.18/0.46 # Rewrite failures with RHS unbound : 0
% 0.18/0.46 # BW rewrite match attempts : 0
% 0.18/0.46 # BW rewrite match successes : 0
% 0.18/0.46 # Condensation attempts : 0
% 0.18/0.46 # Condensation successes : 0
% 0.18/0.46 # Termbank termtop insertions : 1798
% 0.18/0.46
% 0.18/0.46 # -------------------------------------------------
% 0.18/0.46 # User time : 0.005 s
% 0.18/0.46 # System time : 0.002 s
% 0.18/0.46 # Total time : 0.007 s
% 0.18/0.46 # Maximum resident set size: 1780 pages
% 0.18/0.46
% 0.18/0.46 # -------------------------------------------------
% 0.18/0.46 # User time : 0.006 s
% 0.18/0.46 # System time : 0.003 s
% 0.18/0.46 # Total time : 0.009 s
% 0.18/0.46 # Maximum resident set size: 1688 pages
% 0.18/0.46 % E---3.1 exiting
%------------------------------------------------------------------------------