TSTP Solution File: GEO173+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO173+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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:34:08 EDT 2023
% Result : Theorem 407.98s 136.73s
% Output : CNFRefutation 407.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 11 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 75 ( 28 ~; 30 |; 9 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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; 4 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn; 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& convergent_lines(X4,X5)
& distinct_lines(X4,line_connecting(X1,X2)) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X2,X4) ) ),
file('/export/starexec/sandbox/tmp/tmp.7aRJTQcx2F/E---3.1_31676.p',con) ).
fof(apart1,axiom,
! [X1] : ~ distinct_points(X1,X1),
file('/export/starexec/sandbox/tmp/tmp.7aRJTQcx2F/E---3.1_31676.p',apart1) ).
fof(apart4,axiom,
! [X1,X2,X3] :
( distinct_points(X1,X2)
=> ( distinct_points(X1,X3)
| distinct_points(X2,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.7aRJTQcx2F/E---3.1_31676.p',apart4) ).
fof(cu1,axiom,
! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& distinct_lines(X4,X5) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X5)
| apart_point_and_line(X2,X4)
| apart_point_and_line(X2,X5) ) ),
file('/export/starexec/sandbox/tmp/tmp.7aRJTQcx2F/E---3.1_31676.p',cu1) ).
fof(ci1,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.7aRJTQcx2F/E---3.1_31676.p',ci1) ).
fof(ci2,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.7aRJTQcx2F/E---3.1_31676.p',ci2) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& convergent_lines(X4,X5)
& distinct_lines(X4,line_connecting(X1,X2)) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X2,X4) ) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_7,plain,
! [X1] : ~ distinct_points(X1,X1),
inference(fof_simplification,[status(thm)],[apart1]) ).
fof(c_0_8,plain,
! [X36,X37,X38] :
( ~ distinct_points(X36,X37)
| distinct_points(X36,X38)
| distinct_points(X37,X38) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[apart4])]) ).
fof(c_0_9,negated_conjecture,
( distinct_points(esk1_0,esk2_0)
& convergent_lines(esk3_0,esk4_0)
& distinct_lines(esk3_0,line_connecting(esk1_0,esk2_0))
& ~ apart_point_and_line(esk1_0,esk3_0)
& ~ apart_point_and_line(esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_10,plain,
! [X10,X11,X12,X13] :
( ~ distinct_points(X10,X11)
| ~ distinct_lines(X12,X13)
| apart_point_and_line(X10,X12)
| apart_point_and_line(X10,X13)
| apart_point_and_line(X11,X12)
| apart_point_and_line(X11,X13) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cu1])]) ).
fof(c_0_11,plain,
! [X35] : ~ distinct_points(X35,X35),
inference(variable_rename,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( distinct_points(X1,X3)
| distinct_points(X2,X3)
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
distinct_points(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_14,plain,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
inference(fof_simplification,[status(thm)],[ci1]) ).
cnf(c_0_15,plain,
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X4)
| ~ distinct_points(X1,X2)
| ~ distinct_lines(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
distinct_lines(esk3_0,line_connecting(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
~ distinct_points(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
( distinct_points(esk1_0,X1)
| distinct_points(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_19,plain,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
inference(fof_simplification,[status(thm)],[ci2]) ).
fof(c_0_20,plain,
! [X27,X28] :
( ~ distinct_points(X27,X28)
| ~ apart_point_and_line(X27,line_connecting(X27,X28)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).
cnf(c_0_21,negated_conjecture,
( apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(X2,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(X1,esk3_0)
| apart_point_and_line(X2,esk3_0)
| ~ distinct_points(X1,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,negated_conjecture,
distinct_points(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
~ apart_point_and_line(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,negated_conjecture,
~ apart_point_and_line(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_25,plain,
! [X29,X30] :
( ~ distinct_points(X29,X30)
| ~ apart_point_and_line(X30,line_connecting(X29,X30)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])]) ).
cnf(c_0_26,plain,
( ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]) ).
cnf(c_0_28,plain,
( ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,negated_conjecture,
apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_13])]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : GEO173+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 2400
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Oct 3 06:44:21 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.48 Running first-order model finding
% 0.19/0.48 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.7aRJTQcx2F/E---3.1_31676.p
% 407.98/136.73 # Version: 3.1pre001
% 407.98/136.73 # Preprocessing class: FSMSSMSSSSSNFFN.
% 407.98/136.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 407.98/136.73 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 407.98/136.73 # Starting new_bool_3 with 300s (1) cores
% 407.98/136.73 # Starting new_bool_1 with 300s (1) cores
% 407.98/136.73 # Starting sh5l with 300s (1) cores
% 407.98/136.73 # new_bool_3 with pid 31764 completed with status 0
% 407.98/136.73 # Result found by new_bool_3
% 407.98/136.73 # Preprocessing class: FSMSSMSSSSSNFFN.
% 407.98/136.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 407.98/136.73 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 407.98/136.73 # Starting new_bool_3 with 300s (1) cores
% 407.98/136.73 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 407.98/136.73 # Search class: FGHNF-FFSS22-SFFFFFNN
% 407.98/136.73 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 407.98/136.73 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 407.98/136.73 # SAT001_MinMin_p005000_rr_RG with pid 31767 completed with status 0
% 407.98/136.73 # Result found by SAT001_MinMin_p005000_rr_RG
% 407.98/136.73 # Preprocessing class: FSMSSMSSSSSNFFN.
% 407.98/136.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 407.98/136.73 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 407.98/136.73 # Starting new_bool_3 with 300s (1) cores
% 407.98/136.73 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 407.98/136.73 # Search class: FGHNF-FFSS22-SFFFFFNN
% 407.98/136.73 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 407.98/136.73 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 407.98/136.73 # Preprocessing time : 0.001 s
% 407.98/136.73 # Presaturation interreduction done
% 407.98/136.73
% 407.98/136.73 # Proof found!
% 407.98/136.73 # SZS status Theorem
% 407.98/136.73 # SZS output start CNFRefutation
% See solution above
% 407.98/136.73 # Parsed axioms : 15
% 407.98/136.73 # Removed by relevancy pruning/SinE : 2
% 407.98/136.73 # Initial clauses : 17
% 407.98/136.73 # Removed in clause preprocessing : 0
% 407.98/136.73 # Initial clauses in saturation : 17
% 407.98/136.73 # Processed clauses : 195
% 407.98/136.73 # ...of these trivial : 0
% 407.98/136.73 # ...subsumed : 95
% 407.98/136.73 # ...remaining for further processing : 100
% 407.98/136.73 # Other redundant clauses eliminated : 0
% 407.98/136.73 # Clauses deleted for lack of memory : 0
% 407.98/136.73 # Backward-subsumed : 0
% 407.98/136.73 # Backward-rewritten : 1
% 407.98/136.73 # Generated clauses : 487
% 407.98/136.73 # ...of the previous two non-redundant : 402
% 407.98/136.73 # ...aggressively subsumed : 0
% 407.98/136.73 # Contextual simplify-reflections : 0
% 407.98/136.73 # Paramodulations : 387
% 407.98/136.73 # Factorizations : 100
% 407.98/136.73 # NegExts : 0
% 407.98/136.73 # Equation resolutions : 0
% 407.98/136.73 # Total rewrite steps : 89
% 407.98/136.73 # Propositional unsat checks : 0
% 407.98/136.73 # Propositional check models : 0
% 407.98/136.73 # Propositional check unsatisfiable : 0
% 407.98/136.73 # Propositional clauses : 0
% 407.98/136.73 # Propositional clauses after purity: 0
% 407.98/136.73 # Propositional unsat core size : 0
% 407.98/136.73 # Propositional preprocessing time : 0.000
% 407.98/136.73 # Propositional encoding time : 0.000
% 407.98/136.73 # Propositional solver time : 0.000
% 407.98/136.73 # Success case prop preproc time : 0.000
% 407.98/136.73 # Success case prop encoding time : 0.000
% 407.98/136.73 # Success case prop solver time : 0.000
% 407.98/136.73 # Current number of processed clauses : 82
% 407.98/136.73 # Positive orientable unit clauses : 8
% 407.98/136.73 # Positive unorientable unit clauses: 0
% 407.98/136.73 # Negative unit clauses : 5
% 407.98/136.73 # Non-unit-clauses : 69
% 407.98/136.73 # Current number of unprocessed clauses: 239
% 407.98/136.73 # ...number of literals in the above : 1259
% 407.98/136.73 # Current number of archived formulas : 0
% 407.98/136.73 # Current number of archived clauses : 18
% 407.98/136.73 # Clause-clause subsumption calls (NU) : 1220
% 407.98/136.73 # Rec. Clause-clause subsumption calls : 624
% 407.98/136.73 # Non-unit clause-clause subsumptions : 95
% 407.98/136.73 # Unit Clause-clause subsumption calls : 29
% 407.98/136.73 # Rewrite failures with RHS unbound : 0
% 407.98/136.73 # BW rewrite match attempts : 1
% 407.98/136.73 # BW rewrite match successes : 1
% 407.98/136.73 # Condensation attempts : 0
% 407.98/136.73 # Condensation successes : 0
% 407.98/136.73 # Termbank termtop insertions : 6252
% 407.98/136.73
% 407.98/136.73 # -------------------------------------------------
% 407.98/136.73 # User time : 0.007 s
% 407.98/136.73 # System time : 0.003 s
% 407.98/136.73 # Total time : 0.010 s
% 407.98/136.73 # Maximum resident set size: 1768 pages
% 407.98/136.73
% 407.98/136.73 # -------------------------------------------------
% 407.98/136.73 # User time : 0.007 s
% 407.98/136.73 # System time : 0.006 s
% 407.98/136.73 # Total time : 0.013 s
% 407.98/136.73 # Maximum resident set size: 1688 pages
% 407.98/136.73 % E---3.1 exiting
%------------------------------------------------------------------------------