TSTP Solution File: GEO209+3 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GEO209+3 : TPTP v8.1.2. Released v4.0.0.
% 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 07:42:22 EDT 2024
% Result : Theorem 0.22s 0.51s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 56 ( 19 ~; 14 |; 15 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 40 ( 0 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X9,X6,X7,X8] :
( ( apart_point_and_line(X9,X6)
& incident_point_and_line(X9,X7)
& incident_point_and_line(X9,X8)
& parallel_lines(X7,X6)
& parallel_lines(X8,X6) )
=> equal_lines(X7,X8) ),
file('/export/starexec/sandbox2/tmp/tmp.62h2X0UaOz/E---3.1_4646.p',con) ).
fof(ax2,axiom,
! [X1,X2] :
( equal_lines(X1,X2)
<=> ~ distinct_lines(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.62h2X0UaOz/E---3.1_4646.p',ax2) ).
fof(a3,axiom,
! [X1,X2] :
( parallel_lines(X1,X2)
<=> ~ convergent_lines(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.62h2X0UaOz/E---3.1_4646.p',a3) ).
fof(p1,axiom,
! [X1,X2] :
( distinct_lines(X1,X2)
=> convergent_lines(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.62h2X0UaOz/E---3.1_4646.p',p1) ).
fof(ax6,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X3)
| convergent_lines(X2,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.62h2X0UaOz/E---3.1_4646.p',ax6) ).
fof(c_0_5,negated_conjecture,
~ ! [X9,X6,X7,X8] :
( ( apart_point_and_line(X9,X6)
& incident_point_and_line(X9,X7)
& incident_point_and_line(X9,X8)
& parallel_lines(X7,X6)
& parallel_lines(X8,X6) )
=> equal_lines(X7,X8) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_6,plain,
! [X1,X2] :
( equal_lines(X1,X2)
<=> ~ distinct_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[ax2]) ).
fof(c_0_7,negated_conjecture,
( apart_point_and_line(esk1_0,esk2_0)
& incident_point_and_line(esk1_0,esk3_0)
& incident_point_and_line(esk1_0,esk4_0)
& parallel_lines(esk3_0,esk2_0)
& parallel_lines(esk4_0,esk2_0)
& ~ equal_lines(esk3_0,esk4_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
fof(c_0_8,plain,
! [X15,X16] :
( ( ~ equal_lines(X15,X16)
| ~ distinct_lines(X15,X16) )
& ( distinct_lines(X15,X16)
| equal_lines(X15,X16) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_9,plain,
! [X1,X2] :
( parallel_lines(X1,X2)
<=> ~ convergent_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[a3]) ).
fof(c_0_10,plain,
! [X38,X39] :
( ~ distinct_lines(X38,X39)
| convergent_lines(X38,X39) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])]) ).
cnf(c_0_11,negated_conjecture,
~ equal_lines(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( distinct_lines(X1,X2)
| equal_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_13,plain,
! [X17,X18] :
( ( ~ parallel_lines(X17,X18)
| ~ convergent_lines(X17,X18) )
& ( convergent_lines(X17,X18)
| parallel_lines(X17,X18) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_14,plain,
! [X45,X46,X47] :
( ~ convergent_lines(X45,X46)
| convergent_lines(X45,X47)
| convergent_lines(X46,X47) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])])]) ).
cnf(c_0_15,plain,
( convergent_lines(X1,X2)
| ~ distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
distinct_lines(esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
( ~ parallel_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
parallel_lines(esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,plain,
( convergent_lines(X1,X3)
| convergent_lines(X2,X3)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
convergent_lines(esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
parallel_lines(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,negated_conjecture,
~ convergent_lines(esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
( convergent_lines(esk4_0,X1)
| convergent_lines(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
~ convergent_lines(esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_17,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO209+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 18:47:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.62h2X0UaOz/E---3.1_4646.p
% 0.22/0.51 # Version: 3.1.0
% 0.22/0.51 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51 # Starting new_bool_1 with 300s (1) cores
% 0.22/0.51 # Starting sh5l with 300s (1) cores
% 0.22/0.51 # new_bool_3 with pid 4726 completed with status 0
% 0.22/0.51 # Result found by new_bool_3
% 0.22/0.51 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.51 # Search class: FGHNF-FFMS00-SFFFFFNN
% 0.22/0.51 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.51 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 181s (1) cores
% 0.22/0.51 # G-E--_208_C18_F1_AE_CS_SP_PI_S0a with pid 4729 completed with status 0
% 0.22/0.51 # Result found by G-E--_208_C18_F1_AE_CS_SP_PI_S0a
% 0.22/0.51 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.51 # Search class: FGHNF-FFMS00-SFFFFFNN
% 0.22/0.51 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.51 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 181s (1) cores
% 0.22/0.51 # Preprocessing time : 0.002 s
% 0.22/0.51
% 0.22/0.51 # Proof found!
% 0.22/0.51 # SZS status Theorem
% 0.22/0.51 # SZS output start CNFRefutation
% See solution above
% 0.22/0.51 # Parsed axioms : 36
% 0.22/0.51 # Removed by relevancy pruning/SinE : 14
% 0.22/0.51 # Initial clauses : 36
% 0.22/0.51 # Removed in clause preprocessing : 0
% 0.22/0.51 # Initial clauses in saturation : 36
% 0.22/0.51 # Processed clauses : 45
% 0.22/0.51 # ...of these trivial : 0
% 0.22/0.51 # ...subsumed : 4
% 0.22/0.51 # ...remaining for further processing : 41
% 0.22/0.51 # Other redundant clauses eliminated : 0
% 0.22/0.51 # Clauses deleted for lack of memory : 0
% 0.22/0.51 # Backward-subsumed : 0
% 0.22/0.51 # Backward-rewritten : 0
% 0.22/0.51 # Generated clauses : 37
% 0.22/0.51 # ...of the previous two non-redundant : 24
% 0.22/0.51 # ...aggressively subsumed : 0
% 0.22/0.51 # Contextual simplify-reflections : 0
% 0.22/0.51 # Paramodulations : 37
% 0.22/0.51 # Factorizations : 0
% 0.22/0.51 # NegExts : 0
% 0.22/0.51 # Equation resolutions : 0
% 0.22/0.51 # Disequality decompositions : 0
% 0.22/0.51 # Total rewrite steps : 3
% 0.22/0.51 # ...of those cached : 1
% 0.22/0.51 # Propositional unsat checks : 0
% 0.22/0.51 # Propositional check models : 0
% 0.22/0.51 # Propositional check unsatisfiable : 0
% 0.22/0.51 # Propositional clauses : 0
% 0.22/0.51 # Propositional clauses after purity: 0
% 0.22/0.51 # Propositional unsat core size : 0
% 0.22/0.51 # Propositional preprocessing time : 0.000
% 0.22/0.51 # Propositional encoding time : 0.000
% 0.22/0.51 # Propositional solver time : 0.000
% 0.22/0.51 # Success case prop preproc time : 0.000
% 0.22/0.51 # Success case prop encoding time : 0.000
% 0.22/0.51 # Success case prop solver time : 0.000
% 0.22/0.51 # Current number of processed clauses : 41
% 0.22/0.51 # Positive orientable unit clauses : 7
% 0.22/0.51 # Positive unorientable unit clauses: 0
% 0.22/0.51 # Negative unit clauses : 8
% 0.22/0.51 # Non-unit-clauses : 26
% 0.22/0.51 # Current number of unprocessed clauses: 12
% 0.22/0.51 # ...number of literals in the above : 42
% 0.22/0.51 # Current number of archived formulas : 0
% 0.22/0.51 # Current number of archived clauses : 0
% 0.22/0.51 # Clause-clause subsumption calls (NU) : 92
% 0.22/0.51 # Rec. Clause-clause subsumption calls : 54
% 0.22/0.51 # Non-unit clause-clause subsumptions : 4
% 0.22/0.51 # Unit Clause-clause subsumption calls : 2
% 0.22/0.51 # Rewrite failures with RHS unbound : 0
% 0.22/0.51 # BW rewrite match attempts : 0
% 0.22/0.51 # BW rewrite match successes : 0
% 0.22/0.51 # Condensation attempts : 0
% 0.22/0.51 # Condensation successes : 0
% 0.22/0.51 # Termbank termtop insertions : 2670
% 0.22/0.51 # Search garbage collected termcells : 463
% 0.22/0.51
% 0.22/0.51 # -------------------------------------------------
% 0.22/0.51 # User time : 0.008 s
% 0.22/0.51 # System time : 0.001 s
% 0.22/0.51 # Total time : 0.009 s
% 0.22/0.51 # Maximum resident set size: 1892 pages
% 0.22/0.51
% 0.22/0.51 # -------------------------------------------------
% 0.22/0.51 # User time : 0.010 s
% 0.22/0.51 # System time : 0.002 s
% 0.22/0.51 # Total time : 0.012 s
% 0.22/0.51 # Maximum resident set size: 1752 pages
% 0.22/0.51 % E---3.1 exiting
% 0.22/0.51 % E exiting
%------------------------------------------------------------------------------