TSTP Solution File: GEO253+3 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GEO253+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n006.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 : 300s
% DateTime : Sat May 4 07:42:40 EDT 2024
% Result : Theorem 0.17s 0.48s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 38 ( 15 ~; 11 |; 8 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 6 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a2_defns,axiom,
! [X1,X2] :
( right_apart_point(X1,X2)
<=> left_apart_point(X1,reverse_line(X2)) ),
file('/export/starexec/sandbox/tmp/tmp.nABW8M3ehf/E---3.1_11599.p',a2_defns) ).
fof(ax10_basics,axiom,
! [X3,X4] :
~ ( left_apart_point(X3,X4)
| left_apart_point(X3,reverse_line(X4)) ),
file('/export/starexec/sandbox/tmp/tmp.nABW8M3ehf/E---3.1_11599.p',ax10_basics) ).
fof(con,conjecture,
! [X3,X6,X4] :
( ( apart_point_and_line(X3,X4)
& incident_point_and_line(X6,parallel_through_point(X4,X3)) )
=> apart_point_and_line(X6,X4) ),
file('/export/starexec/sandbox/tmp/tmp.nABW8M3ehf/E---3.1_11599.p',con) ).
fof(a6_defns,axiom,
! [X3,X4] :
( apart_point_and_line(X3,X4)
<=> ( left_apart_point(X3,X4)
| right_apart_point(X3,X4) ) ),
file('/export/starexec/sandbox/tmp/tmp.nABW8M3ehf/E---3.1_11599.p',a6_defns) ).
fof(c_0_4,plain,
! [X11,X12] :
( ( ~ right_apart_point(X11,X12)
| left_apart_point(X11,reverse_line(X12)) )
& ( ~ left_apart_point(X11,reverse_line(X12))
| right_apart_point(X11,X12) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_defns])])]) ).
fof(c_0_5,plain,
! [X52,X53] :
( ~ left_apart_point(X52,X53)
& ~ left_apart_point(X52,reverse_line(X53)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax10_basics])])]) ).
fof(c_0_6,negated_conjecture,
~ ! [X3,X6,X4] :
( ( apart_point_and_line(X3,X4)
& incident_point_and_line(X6,parallel_through_point(X4,X3)) )
=> apart_point_and_line(X6,X4) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_7,plain,
! [X19,X20] :
( ( ~ apart_point_and_line(X19,X20)
| left_apart_point(X19,X20)
| right_apart_point(X19,X20) )
& ( ~ left_apart_point(X19,X20)
| apart_point_and_line(X19,X20) )
& ( ~ right_apart_point(X19,X20)
| apart_point_and_line(X19,X20) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a6_defns])])])]) ).
cnf(c_0_8,plain,
( left_apart_point(X1,reverse_line(X2))
| ~ right_apart_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
~ left_apart_point(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_10,negated_conjecture,
( apart_point_and_line(esk1_0,esk3_0)
& incident_point_and_line(esk2_0,parallel_through_point(esk3_0,esk1_0))
& ~ apart_point_and_line(esk2_0,esk3_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
cnf(c_0_11,plain,
( left_apart_point(X1,X2)
| right_apart_point(X1,X2)
| ~ apart_point_and_line(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
~ right_apart_point(X1,X2),
inference(sr,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
apart_point_and_line(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
~ apart_point_and_line(X1,X2),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_11,c_0_12]),c_0_9]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_13,c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : GEO253+3 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 18:41:23 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.17/0.46 Running first-order theorem proving
% 0.17/0.46 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.nABW8M3ehf/E---3.1_11599.p
% 0.17/0.48 # Version: 3.1.0
% 0.17/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.48 # Starting sh5l with 300s (1) cores
% 0.17/0.48 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 11677 completed with status 0
% 0.17/0.48 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.17/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.48 # No SInE strategy applied
% 0.17/0.48 # Search class: FGHNS-FFMF21-SFFFFFNN
% 0.17/0.48 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.48 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.17/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.17/0.48 # Starting new_bool_3 with 136s (1) cores
% 0.17/0.48 # Starting new_bool_1 with 136s (1) cores
% 0.17/0.48 # Starting sh5l with 136s (1) cores
% 0.17/0.48 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 11684 completed with status 0
% 0.17/0.48 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.17/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.48 # No SInE strategy applied
% 0.17/0.48 # Search class: FGHNS-FFMF21-SFFFFFNN
% 0.17/0.48 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.48 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.17/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.17/0.48 # Preprocessing time : 0.001 s
% 0.17/0.48 # Presaturation interreduction done
% 0.17/0.48
% 0.17/0.48 # Proof found!
% 0.17/0.48 # SZS status Theorem
% 0.17/0.48 # SZS output start CNFRefutation
% See solution above
% 0.17/0.48 # Parsed axioms : 37
% 0.17/0.48 # Removed by relevancy pruning/SinE : 0
% 0.17/0.48 # Initial clauses : 69
% 0.17/0.48 # Removed in clause preprocessing : 0
% 0.17/0.48 # Initial clauses in saturation : 69
% 0.17/0.48 # Processed clauses : 40
% 0.17/0.48 # ...of these trivial : 0
% 0.17/0.48 # ...subsumed : 5
% 0.17/0.48 # ...remaining for further processing : 35
% 0.17/0.48 # Other redundant clauses eliminated : 0
% 0.17/0.48 # Clauses deleted for lack of memory : 0
% 0.17/0.48 # Backward-subsumed : 7
% 0.17/0.48 # Backward-rewritten : 0
% 0.17/0.48 # Generated clauses : 1
% 0.17/0.48 # ...of the previous two non-redundant : 0
% 0.17/0.48 # ...aggressively subsumed : 0
% 0.17/0.48 # Contextual simplify-reflections : 0
% 0.17/0.48 # Paramodulations : 0
% 0.17/0.48 # Factorizations : 0
% 0.17/0.48 # NegExts : 0
% 0.17/0.48 # Equation resolutions : 0
% 0.17/0.48 # Disequality decompositions : 0
% 0.17/0.48 # Total rewrite steps : 0
% 0.17/0.48 # ...of those cached : 0
% 0.17/0.48 # Propositional unsat checks : 0
% 0.17/0.48 # Propositional check models : 0
% 0.17/0.48 # Propositional check unsatisfiable : 0
% 0.17/0.48 # Propositional clauses : 0
% 0.17/0.48 # Propositional clauses after purity: 0
% 0.17/0.48 # Propositional unsat core size : 0
% 0.17/0.48 # Propositional preprocessing time : 0.000
% 0.17/0.48 # Propositional encoding time : 0.000
% 0.17/0.48 # Propositional solver time : 0.000
% 0.17/0.48 # Success case prop preproc time : 0.000
% 0.17/0.48 # Success case prop encoding time : 0.000
% 0.17/0.48 # Success case prop solver time : 0.000
% 0.17/0.48 # Current number of processed clauses : 27
% 0.17/0.48 # Positive orientable unit clauses : 3
% 0.17/0.48 # Positive unorientable unit clauses: 0
% 0.17/0.48 # Negative unit clauses : 8
% 0.17/0.48 # Non-unit-clauses : 16
% 0.17/0.48 # Current number of unprocessed clauses: 29
% 0.17/0.48 # ...number of literals in the above : 104
% 0.17/0.48 # Current number of archived formulas : 0
% 0.17/0.48 # Current number of archived clauses : 8
% 0.17/0.48 # Clause-clause subsumption calls (NU) : 118
% 0.17/0.48 # Rec. Clause-clause subsumption calls : 96
% 0.17/0.48 # Non-unit clause-clause subsumptions : 0
% 0.17/0.48 # Unit Clause-clause subsumption calls : 65
% 0.17/0.48 # Rewrite failures with RHS unbound : 0
% 0.17/0.48 # BW rewrite match attempts : 0
% 0.17/0.48 # BW rewrite match successes : 0
% 0.17/0.48 # Condensation attempts : 0
% 0.17/0.48 # Condensation successes : 0
% 0.17/0.48 # Termbank termtop insertions : 3989
% 0.17/0.48 # Search garbage collected termcells : 738
% 0.17/0.48
% 0.17/0.48 # -------------------------------------------------
% 0.17/0.48 # User time : 0.005 s
% 0.17/0.48 # System time : 0.003 s
% 0.17/0.48 # Total time : 0.008 s
% 0.17/0.48 # Maximum resident set size: 1904 pages
% 0.17/0.48
% 0.17/0.48 # -------------------------------------------------
% 0.17/0.48 # User time : 0.014 s
% 0.17/0.48 # System time : 0.009 s
% 0.17/0.48 # Total time : 0.023 s
% 0.17/0.48 # Maximum resident set size: 1740 pages
% 0.17/0.48 % E---3.1 exiting
% 0.17/0.48 % E exiting
%------------------------------------------------------------------------------