TSTP Solution File: GEO185+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GEO185+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.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 07:42:09 EDT 2024
% Result : Theorem 0.16s 0.42s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 5 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 54 ( 23 ~; 15 |; 9 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& convergent_lines(X4,X5)
& ~ distinct_points(X1,intersection_point(X4,X5)) )
=> ( ~ apart_point_and_line(X1,X4)
& ~ apart_point_and_line(X1,X5) ) ),
file('/export/starexec/sandbox/tmp/tmp.DjKlafGbIX/E---3.1_6768.p',con) ).
fof(ceq1,axiom,
! [X1,X2,X3] :
( apart_point_and_line(X1,X2)
=> ( distinct_points(X1,X3)
| apart_point_and_line(X3,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.DjKlafGbIX/E---3.1_6768.p',ceq1) ).
fof(ci4,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/tmp.DjKlafGbIX/E---3.1_6768.p',ci4) ).
fof(ci3,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/tmp.DjKlafGbIX/E---3.1_6768.p',ci3) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& convergent_lines(X4,X5)
& ~ distinct_points(X1,intersection_point(X4,X5)) )
=> ( ~ apart_point_and_line(X1,X4)
& ~ apart_point_and_line(X1,X5) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]) ).
fof(c_0_5,plain,
! [X10,X11,X12] :
( ~ apart_point_and_line(X10,X11)
| distinct_points(X10,X12)
| apart_point_and_line(X12,X11) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ceq1])])]) ).
fof(c_0_6,negated_conjecture,
( distinct_points(esk1_0,esk2_0)
& convergent_lines(esk3_0,esk4_0)
& ~ distinct_points(esk1_0,intersection_point(esk3_0,esk4_0))
& ( apart_point_and_line(esk1_0,esk3_0)
| apart_point_and_line(esk1_0,esk4_0) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_7,plain,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
inference(fof_simplification,[status(thm)],[ci4]) ).
cnf(c_0_8,plain,
( distinct_points(X1,X3)
| apart_point_and_line(X3,X2)
| ~ apart_point_and_line(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
( apart_point_and_line(esk1_0,esk3_0)
| apart_point_and_line(esk1_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,plain,
! [X23,X24] :
( ~ convergent_lines(X23,X24)
| ~ apart_point_and_line(intersection_point(X23,X24),X24) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
cnf(c_0_11,negated_conjecture,
~ distinct_points(esk1_0,intersection_point(esk3_0,esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( apart_point_and_line(esk1_0,esk3_0)
| apart_point_and_line(X1,esk4_0)
| distinct_points(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
( apart_point_and_line(intersection_point(esk3_0,esk4_0),esk4_0)
| apart_point_and_line(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
convergent_lines(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_16,plain,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[ci3]) ).
cnf(c_0_17,negated_conjecture,
apart_point_and_line(esk1_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
fof(c_0_18,plain,
! [X21,X22] :
( ~ convergent_lines(X21,X22)
| ~ apart_point_and_line(intersection_point(X21,X22),X21) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
cnf(c_0_19,negated_conjecture,
( apart_point_and_line(X1,esk3_0)
| distinct_points(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_17]) ).
cnf(c_0_20,plain,
( ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_21,negated_conjecture,
apart_point_and_line(intersection_point(esk3_0,esk4_0),esk3_0),
inference(spm,[status(thm)],[c_0_11,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GEO185+1 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 18:49:07 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 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.DjKlafGbIX/E---3.1_6768.p
% 0.16/0.42 # Version: 3.1.0
% 0.16/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.42 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.42 # Starting sh5l with 300s (1) cores
% 0.16/0.42 # new_bool_3 with pid 6851 completed with status 0
% 0.16/0.42 # Result found by new_bool_3
% 0.16/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.42 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.42 # Search class: FGHNF-FFSS22-SFFFFFNN
% 0.16/0.42 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.42 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.42 # SAT001_MinMin_p005000_rr_RG with pid 6855 completed with status 0
% 0.16/0.42 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.42 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.42 # Search class: FGHNF-FFSS22-SFFFFFNN
% 0.16/0.42 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.42 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.42 # Preprocessing time : 0.001 s
% 0.16/0.42 # Presaturation interreduction done
% 0.16/0.42
% 0.16/0.42 # Proof found!
% 0.16/0.42 # SZS status Theorem
% 0.16/0.42 # SZS output start CNFRefutation
% See solution above
% 0.16/0.43 # Parsed axioms : 15
% 0.16/0.43 # Removed by relevancy pruning/SinE : 2
% 0.16/0.43 # Initial clauses : 16
% 0.16/0.43 # Removed in clause preprocessing : 0
% 0.16/0.43 # Initial clauses in saturation : 16
% 0.16/0.43 # Processed clauses : 38
% 0.16/0.43 # ...of these trivial : 0
% 0.16/0.43 # ...subsumed : 1
% 0.16/0.43 # ...remaining for further processing : 37
% 0.16/0.43 # Other redundant clauses eliminated : 0
% 0.16/0.43 # Clauses deleted for lack of memory : 0
% 0.16/0.43 # Backward-subsumed : 0
% 0.16/0.43 # Backward-rewritten : 3
% 0.16/0.43 # Generated clauses : 24
% 0.16/0.43 # ...of the previous two non-redundant : 20
% 0.16/0.43 # ...aggressively subsumed : 0
% 0.16/0.43 # Contextual simplify-reflections : 0
% 0.16/0.43 # Paramodulations : 24
% 0.16/0.43 # Factorizations : 0
% 0.16/0.43 # NegExts : 0
% 0.16/0.43 # Equation resolutions : 0
% 0.16/0.43 # Disequality decompositions : 0
% 0.16/0.43 # Total rewrite steps : 8
% 0.16/0.43 # ...of those cached : 5
% 0.16/0.43 # Propositional unsat checks : 0
% 0.16/0.43 # Propositional check models : 0
% 0.16/0.43 # Propositional check unsatisfiable : 0
% 0.16/0.43 # Propositional clauses : 0
% 0.16/0.43 # Propositional clauses after purity: 0
% 0.16/0.43 # Propositional unsat core size : 0
% 0.16/0.43 # Propositional preprocessing time : 0.000
% 0.16/0.43 # Propositional encoding time : 0.000
% 0.16/0.43 # Propositional solver time : 0.000
% 0.16/0.43 # Success case prop preproc time : 0.000
% 0.16/0.43 # Success case prop encoding time : 0.000
% 0.16/0.43 # Success case prop solver time : 0.000
% 0.16/0.43 # Current number of processed clauses : 18
% 0.16/0.43 # Positive orientable unit clauses : 4
% 0.16/0.43 # Positive unorientable unit clauses: 0
% 0.16/0.43 # Negative unit clauses : 4
% 0.16/0.43 # Non-unit-clauses : 10
% 0.16/0.43 # Current number of unprocessed clauses: 12
% 0.16/0.43 # ...number of literals in the above : 38
% 0.16/0.43 # Current number of archived formulas : 0
% 0.16/0.43 # Current number of archived clauses : 19
% 0.16/0.43 # Clause-clause subsumption calls (NU) : 8
% 0.16/0.43 # Rec. Clause-clause subsumption calls : 7
% 0.16/0.43 # Non-unit clause-clause subsumptions : 1
% 0.16/0.43 # Unit Clause-clause subsumption calls : 1
% 0.16/0.43 # Rewrite failures with RHS unbound : 0
% 0.16/0.43 # BW rewrite match attempts : 1
% 0.16/0.43 # BW rewrite match successes : 1
% 0.16/0.43 # Condensation attempts : 0
% 0.16/0.43 # Condensation successes : 0
% 0.16/0.43 # Termbank termtop insertions : 1383
% 0.16/0.43 # Search garbage collected termcells : 203
% 0.16/0.43
% 0.16/0.43 # -------------------------------------------------
% 0.16/0.43 # User time : 0.005 s
% 0.16/0.43 # System time : 0.001 s
% 0.16/0.43 # Total time : 0.006 s
% 0.16/0.43 # Maximum resident set size: 1724 pages
% 0.16/0.43
% 0.16/0.43 # -------------------------------------------------
% 0.16/0.43 # User time : 0.005 s
% 0.16/0.43 # System time : 0.003 s
% 0.16/0.43 # Total time : 0.009 s
% 0.16/0.43 # Maximum resident set size: 1704 pages
% 0.16/0.43 % E---3.1 exiting
% 0.16/0.43 % E exiting
%------------------------------------------------------------------------------