TSTP Solution File: GEO185+2 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO185+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.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 17:34:14 EDT 2023
% Result : Theorem 272.10s 136.86s
% Output : CNFRefutation 272.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 43 ( 18 ~; 11 |; 10 &)
% ( 0 <=>; 4 =>; 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 : 20 ( 0 sgn; 14 !; 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.T45AIm1v4h/E---3.1_30528.p',con) ).
fof(con2,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( ( apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X2) )
=> distinct_points(X3,intersection_point(X1,X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.T45AIm1v4h/E---3.1_30528.p',con2) ).
fof(c_0_2,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_3,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(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
fof(c_0_4,plain,
! [X24,X25,X26] :
( ( ~ apart_point_and_line(X26,X24)
| distinct_points(X26,intersection_point(X24,X25))
| ~ convergent_lines(X24,X25) )
& ( ~ apart_point_and_line(X26,X25)
| distinct_points(X26,intersection_point(X24,X25))
| ~ convergent_lines(X24,X25) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[con2])])]) ).
cnf(c_0_5,negated_conjecture,
~ distinct_points(esk1_0,intersection_point(esk3_0,esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( distinct_points(X1,intersection_point(X3,X2))
| ~ apart_point_and_line(X1,X2)
| ~ convergent_lines(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
convergent_lines(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,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_3]) ).
cnf(c_0_9,negated_conjecture,
~ apart_point_and_line(esk1_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]) ).
cnf(c_0_10,plain,
( distinct_points(X1,intersection_point(X2,X3))
| ~ apart_point_and_line(X1,X2)
| ~ convergent_lines(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,negated_conjecture,
apart_point_and_line(esk1_0,esk3_0),
inference(sr,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_10]),c_0_7])]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO185+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.12/0.35 % Computer : n016.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 2400
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Oct 3 07:35:07 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.20/0.48 Running first-order model finding
% 0.20/0.49 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.T45AIm1v4h/E---3.1_30528.p
% 272.10/136.86 # Version: 3.1pre001
% 272.10/136.86 # Preprocessing class: FSMSSMSSSSSNFFN.
% 272.10/136.86 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 272.10/136.86 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 272.10/136.86 # Starting new_bool_3 with 300s (1) cores
% 272.10/136.86 # Starting new_bool_1 with 300s (1) cores
% 272.10/136.86 # Starting sh5l with 300s (1) cores
% 272.10/136.86 # new_bool_1 with pid 30607 completed with status 0
% 272.10/136.86 # Result found by new_bool_1
% 272.10/136.86 # Preprocessing class: FSMSSMSSSSSNFFN.
% 272.10/136.86 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 272.10/136.86 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 272.10/136.86 # Starting new_bool_3 with 300s (1) cores
% 272.10/136.86 # Starting new_bool_1 with 300s (1) cores
% 272.10/136.86 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 272.10/136.86 # Search class: FGUNF-FFSS22-SFFFFFNN
% 272.10/136.86 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 272.10/136.86 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 272.10/136.86 # SAT001_MinMin_p005000_rr_RG with pid 30609 completed with status 0
% 272.10/136.86 # Result found by SAT001_MinMin_p005000_rr_RG
% 272.10/136.86 # Preprocessing class: FSMSSMSSSSSNFFN.
% 272.10/136.86 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 272.10/136.86 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 272.10/136.86 # Starting new_bool_3 with 300s (1) cores
% 272.10/136.86 # Starting new_bool_1 with 300s (1) cores
% 272.10/136.86 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 272.10/136.86 # Search class: FGUNF-FFSS22-SFFFFFNN
% 272.10/136.86 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 272.10/136.86 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 272.10/136.86 # Preprocessing time : 0.001 s
% 272.10/136.86 # Presaturation interreduction done
% 272.10/136.86
% 272.10/136.86 # Proof found!
% 272.10/136.86 # SZS status Theorem
% 272.10/136.86 # SZS output start CNFRefutation
% See solution above
% 272.10/136.86 # Parsed axioms : 13
% 272.10/136.86 # Removed by relevancy pruning/SinE : 1
% 272.10/136.86 # Initial clauses : 16
% 272.10/136.86 # Removed in clause preprocessing : 0
% 272.10/136.86 # Initial clauses in saturation : 16
% 272.10/136.86 # Processed clauses : 30
% 272.10/136.86 # ...of these trivial : 0
% 272.10/136.86 # ...subsumed : 1
% 272.10/136.86 # ...remaining for further processing : 28
% 272.10/136.86 # Other redundant clauses eliminated : 0
% 272.10/136.86 # Clauses deleted for lack of memory : 0
% 272.10/136.86 # Backward-subsumed : 0
% 272.10/136.86 # Backward-rewritten : 0
% 272.10/136.86 # Generated clauses : 6
% 272.10/136.86 # ...of the previous two non-redundant : 6
% 272.10/136.86 # ...aggressively subsumed : 0
% 272.10/136.86 # Contextual simplify-reflections : 0
% 272.10/136.86 # Paramodulations : 5
% 272.10/136.86 # Factorizations : 0
% 272.10/136.86 # NegExts : 0
% 272.10/136.86 # Equation resolutions : 0
% 272.10/136.86 # Total rewrite steps : 3
% 272.10/136.86 # Propositional unsat checks : 0
% 272.10/136.86 # Propositional check models : 0
% 272.10/136.86 # Propositional check unsatisfiable : 0
% 272.10/136.86 # Propositional clauses : 0
% 272.10/136.86 # Propositional clauses after purity: 0
% 272.10/136.86 # Propositional unsat core size : 0
% 272.10/136.86 # Propositional preprocessing time : 0.000
% 272.10/136.86 # Propositional encoding time : 0.000
% 272.10/136.86 # Propositional solver time : 0.000
% 272.10/136.86 # Success case prop preproc time : 0.000
% 272.10/136.86 # Success case prop encoding time : 0.000
% 272.10/136.86 # Success case prop solver time : 0.000
% 272.10/136.86 # Current number of processed clauses : 11
% 272.10/136.86 # Positive orientable unit clauses : 3
% 272.10/136.86 # Positive unorientable unit clauses: 0
% 272.10/136.86 # Negative unit clauses : 5
% 272.10/136.86 # Non-unit-clauses : 3
% 272.10/136.86 # Current number of unprocessed clauses: 8
% 272.10/136.86 # ...number of literals in the above : 25
% 272.10/136.86 # Current number of archived formulas : 0
% 272.10/136.86 # Current number of archived clauses : 17
% 272.10/136.86 # Clause-clause subsumption calls (NU) : 4
% 272.10/136.86 # Rec. Clause-clause subsumption calls : 4
% 272.10/136.86 # Non-unit clause-clause subsumptions : 0
% 272.10/136.86 # Unit Clause-clause subsumption calls : 4
% 272.10/136.86 # Rewrite failures with RHS unbound : 0
% 272.10/136.86 # BW rewrite match attempts : 0
% 272.10/136.86 # BW rewrite match successes : 0
% 272.10/136.86 # Condensation attempts : 0
% 272.10/136.86 # Condensation successes : 0
% 272.10/136.86 # Termbank termtop insertions : 1025
% 272.10/136.86
% 272.10/136.86 # -------------------------------------------------
% 272.10/136.86 # User time : 0.005 s
% 272.10/136.86 # System time : 0.000 s
% 272.10/136.86 # Total time : 0.005 s
% 272.10/136.86 # Maximum resident set size: 1740 pages
% 272.10/136.86
% 272.10/136.86 # -------------------------------------------------
% 272.10/136.86 # User time : 0.006 s
% 272.10/136.86 # System time : 0.003 s
% 272.10/136.86 # Total time : 0.009 s
% 272.10/136.86 # Maximum resident set size: 1684 pages
% 272.10/136.86 % E---3.1 exiting
%------------------------------------------------------------------------------