TSTP Solution File: GEO187+2 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO187+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.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 17:34:15 EDT 2023
% Result : Theorem 5.85s 1.18s
% Output : CNFRefutation 5.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 11 unt; 0 def)
% Number of atoms : 133 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 128 ( 35 ~; 71 |; 15 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 68 ( 0 sgn; 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& distinct_points(X4,X5)
& ~ apart_point_and_line(X1,line_connecting(X4,X5))
& ~ apart_point_and_line(X2,line_connecting(X4,X5)) )
=> ( ~ apart_point_and_line(X4,line_connecting(X1,X2))
& ~ apart_point_and_line(X5,line_connecting(X1,X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.674QMPbllI/E---3.1_3185.p',con) ).
fof(ceq2,axiom,
! [X1,X2,X3] :
( apart_point_and_line(X1,X2)
=> ( distinct_lines(X2,X3)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.674QMPbllI/E---3.1_3185.p',ceq2) ).
fof(apart1,axiom,
! [X1] : ~ distinct_points(X1,X1),
file('/export/starexec/sandbox/tmp/tmp.674QMPbllI/E---3.1_3185.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.674QMPbllI/E---3.1_3185.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.674QMPbllI/E---3.1_3185.p',cu1) ).
fof(con1,axiom,
! [X1,X2,X3] :
( distinct_points(X1,X2)
=> ( apart_point_and_line(X3,line_connecting(X1,X2))
=> ( distinct_points(X3,X1)
& distinct_points(X3,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.674QMPbllI/E---3.1_3185.p',con1) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& distinct_points(X4,X5)
& ~ apart_point_and_line(X1,line_connecting(X4,X5))
& ~ apart_point_and_line(X2,line_connecting(X4,X5)) )
=> ( ~ apart_point_and_line(X4,line_connecting(X1,X2))
& ~ apart_point_and_line(X5,line_connecting(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]) ).
fof(c_0_7,plain,
! [X17,X18,X19] :
( ~ apart_point_and_line(X17,X18)
| distinct_lines(X18,X19)
| apart_point_and_line(X17,X19) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ceq2])]) ).
fof(c_0_8,negated_conjecture,
( distinct_points(esk1_0,esk2_0)
& distinct_points(esk3_0,esk4_0)
& ~ apart_point_and_line(esk1_0,line_connecting(esk3_0,esk4_0))
& ~ apart_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0))
& ( apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk4_0,line_connecting(esk1_0,esk2_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_9,plain,
! [X1] : ~ distinct_points(X1,X1),
inference(fof_simplification,[status(thm)],[apart1]) ).
fof(c_0_10,plain,
! [X24,X25,X26] :
( ~ distinct_points(X24,X25)
| distinct_points(X24,X26)
| distinct_points(X25,X26) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[apart4])]) ).
fof(c_0_11,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])]) ).
cnf(c_0_12,plain,
( distinct_lines(X2,X3)
| apart_point_and_line(X1,X3)
| ~ apart_point_and_line(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
( apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk4_0,line_connecting(esk1_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_14,plain,
! [X23] : ~ distinct_points(X23,X23),
inference(variable_rename,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( distinct_points(X1,X3)
| distinct_points(X2,X3)
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
distinct_points(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,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_11]) ).
cnf(c_0_18,negated_conjecture,
( apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk4_0,X1)
| distinct_lines(line_connecting(esk1_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,plain,
~ distinct_points(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
( distinct_points(esk1_0,X1)
| distinct_points(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_21,plain,
! [X20,X21,X22] :
( ( distinct_points(X22,X20)
| ~ apart_point_and_line(X22,line_connecting(X20,X21))
| ~ distinct_points(X20,X21) )
& ( distinct_points(X22,X21)
| ~ apart_point_and_line(X22,line_connecting(X20,X21))
| ~ distinct_points(X20,X21) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[con1])])]) ).
cnf(c_0_22,negated_conjecture,
( apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
| 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(esk4_0,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X3)
| ~ distinct_points(X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
distinct_points(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
( distinct_points(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X2,X3))
| ~ distinct_points(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,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))
| apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk1_0,X1)
| apart_point_and_line(esk2_0,X1)
| apart_point_and_line(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
~ apart_point_and_line(esk1_0,line_connecting(esk3_0,esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,negated_conjecture,
( apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk4_0,X1)
| apart_point_and_line(esk2_0,X1)
| apart_point_and_line(esk1_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_16])]),c_0_19]) ).
cnf(c_0_28,negated_conjecture,
~ apart_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,plain,
( distinct_points(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X3,X2))
| ~ distinct_points(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,negated_conjecture,
( apart_point_and_line(esk4_0,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_31,negated_conjecture,
distinct_points(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_32,negated_conjecture,
( apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]),c_0_19]) ).
cnf(c_0_33,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk3_0,X1)
| distinct_lines(line_connecting(esk1_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_32]) ).
cnf(c_0_34,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| 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(esk3_0,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X3)
| ~ distinct_points(X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_33]) ).
cnf(c_0_35,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))
| apart_point_and_line(esk1_0,X1)
| apart_point_and_line(esk2_0,X1)
| apart_point_and_line(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_23]) ).
cnf(c_0_36,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk3_0,X1)
| apart_point_and_line(esk2_0,X1)
| apart_point_and_line(esk1_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_35]),c_0_16])]),c_0_19]) ).
cnf(c_0_37,negated_conjecture,
( apart_point_and_line(esk1_0,X1)
| apart_point_and_line(esk2_0,X1)
| apart_point_and_line(esk3_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_36]),c_0_16])]),c_0_19]) ).
cnf(c_0_38,negated_conjecture,
apart_point_and_line(esk3_0,line_connecting(esk3_0,esk4_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_37]),c_0_28]) ).
cnf(c_0_39,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_38]),c_0_31])]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GEO187+2 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n005.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Oct 3 06:58:31 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.42 Running first-order model finding
% 0.16/0.42 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.674QMPbllI/E---3.1_3185.p
% 5.85/1.18 # Version: 3.1pre001
% 5.85/1.18 # Preprocessing class: FSMSSMSSSSSNFFN.
% 5.85/1.18 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.85/1.18 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.85/1.18 # Starting new_bool_3 with 300s (1) cores
% 5.85/1.18 # Starting new_bool_1 with 300s (1) cores
% 5.85/1.18 # Starting sh5l with 300s (1) cores
% 5.85/1.18 # new_bool_3 with pid 3263 completed with status 0
% 5.85/1.18 # Result found by new_bool_3
% 5.85/1.18 # Preprocessing class: FSMSSMSSSSSNFFN.
% 5.85/1.18 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.85/1.18 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.85/1.18 # Starting new_bool_3 with 300s (1) cores
% 5.85/1.18 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.85/1.18 # Search class: FGUNF-FFSS22-SFFFFFNN
% 5.85/1.18 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 5.85/1.18 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 5.85/1.18 # SAT001_MinMin_p005000_rr_RG with pid 3267 completed with status 0
% 5.85/1.18 # Result found by SAT001_MinMin_p005000_rr_RG
% 5.85/1.18 # Preprocessing class: FSMSSMSSSSSNFFN.
% 5.85/1.18 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.85/1.18 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.85/1.18 # Starting new_bool_3 with 300s (1) cores
% 5.85/1.18 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.85/1.18 # Search class: FGUNF-FFSS22-SFFFFFNN
% 5.85/1.18 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 5.85/1.18 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 5.85/1.18 # Preprocessing time : 0.001 s
% 5.85/1.18 # Presaturation interreduction done
% 5.85/1.18
% 5.85/1.18 # Proof found!
% 5.85/1.18 # SZS status Theorem
% 5.85/1.18 # SZS output start CNFRefutation
% See solution above
% 5.85/1.18 # Parsed axioms : 13
% 5.85/1.18 # Removed by relevancy pruning/SinE : 1
% 5.85/1.18 # Initial clauses : 17
% 5.85/1.18 # Removed in clause preprocessing : 0
% 5.85/1.18 # Initial clauses in saturation : 17
% 5.85/1.18 # Processed clauses : 2837
% 5.85/1.18 # ...of these trivial : 2
% 5.85/1.18 # ...subsumed : 2320
% 5.85/1.18 # ...remaining for further processing : 515
% 5.85/1.18 # Other redundant clauses eliminated : 0
% 5.85/1.18 # Clauses deleted for lack of memory : 0
% 5.85/1.18 # Backward-subsumed : 71
% 5.85/1.18 # Backward-rewritten : 67
% 5.85/1.18 # Generated clauses : 28872
% 5.85/1.18 # ...of the previous two non-redundant : 27957
% 5.85/1.18 # ...aggressively subsumed : 0
% 5.85/1.18 # Contextual simplify-reflections : 9
% 5.85/1.18 # Paramodulations : 26728
% 5.85/1.18 # Factorizations : 2144
% 5.85/1.18 # NegExts : 0
% 5.85/1.18 # Equation resolutions : 0
% 5.85/1.18 # Total rewrite steps : 1378
% 5.85/1.18 # Propositional unsat checks : 0
% 5.85/1.18 # Propositional check models : 0
% 5.85/1.18 # Propositional check unsatisfiable : 0
% 5.85/1.18 # Propositional clauses : 0
% 5.85/1.18 # Propositional clauses after purity: 0
% 5.85/1.18 # Propositional unsat core size : 0
% 5.85/1.18 # Propositional preprocessing time : 0.000
% 5.85/1.18 # Propositional encoding time : 0.000
% 5.85/1.18 # Propositional solver time : 0.000
% 5.85/1.18 # Success case prop preproc time : 0.000
% 5.85/1.18 # Success case prop encoding time : 0.000
% 5.85/1.18 # Success case prop solver time : 0.000
% 5.85/1.18 # Current number of processed clauses : 360
% 5.85/1.18 # Positive orientable unit clauses : 13
% 5.85/1.18 # Positive unorientable unit clauses: 0
% 5.85/1.18 # Negative unit clauses : 5
% 5.85/1.18 # Non-unit-clauses : 342
% 5.85/1.18 # Current number of unprocessed clauses: 24089
% 5.85/1.18 # ...number of literals in the above : 178316
% 5.85/1.18 # Current number of archived formulas : 0
% 5.85/1.18 # Current number of archived clauses : 155
% 5.85/1.18 # Clause-clause subsumption calls (NU) : 95430
% 5.85/1.18 # Rec. Clause-clause subsumption calls : 14553
% 5.85/1.18 # Non-unit clause-clause subsumptions : 2389
% 5.85/1.18 # Unit Clause-clause subsumption calls : 385
% 5.85/1.18 # Rewrite failures with RHS unbound : 0
% 5.85/1.18 # BW rewrite match attempts : 8
% 5.85/1.18 # BW rewrite match successes : 8
% 5.85/1.18 # Condensation attempts : 0
% 5.85/1.18 # Condensation successes : 0
% 5.85/1.18 # Termbank termtop insertions : 568478
% 5.85/1.18
% 5.85/1.18 # -------------------------------------------------
% 5.85/1.18 # User time : 0.727 s
% 5.85/1.18 # System time : 0.015 s
% 5.85/1.18 # Total time : 0.742 s
% 5.85/1.18 # Maximum resident set size: 1708 pages
% 5.85/1.18
% 5.85/1.18 # -------------------------------------------------
% 5.85/1.18 # User time : 0.727 s
% 5.85/1.18 # System time : 0.018 s
% 5.85/1.18 # Total time : 0.744 s
% 5.85/1.18 # Maximum resident set size: 1688 pages
% 5.85/1.18 % E---3.1 exiting
%------------------------------------------------------------------------------