TSTP Solution File: GEO002-1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GEO002-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 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 : 300s
% WCLimit : 300s
% DateTime : Sat May 4 07:41:03 EDT 2024
% Result : Unsatisfiable 0.16s 0.42s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 26 ( 12 unt; 0 nHn; 18 RR)
% Number of literals : 47 ( 10 equ; 24 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-5 aty)
% Number of variables : 77 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_equidistance,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.cDpW887Tkq/E---3.1_20636.p',identity_for_equidistance) ).
cnf(identity_for_betweeness,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cDpW887Tkq/E---3.1_20636.p',identity_for_betweeness) ).
cnf(outer_pasch1,axiom,
( between(X1,outer_pasch(X2,X1,X4,X5,X3),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X3,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.cDpW887Tkq/E---3.1_20636.p',outer_pasch1) ).
cnf(segment_construction2,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox2/tmp/tmp.cDpW887Tkq/E---3.1_20636.p',segment_construction2) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox2/tmp/tmp.cDpW887Tkq/E---3.1_20636.p',segment_construction1) ).
cnf(outer_pasch2,axiom,
( between(X5,X2,outer_pasch(X2,X1,X4,X5,X3))
| ~ between(X1,X2,X3)
| ~ between(X4,X3,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.cDpW887Tkq/E---3.1_20636.p',outer_pasch2) ).
cnf(prove_a_between_a_and_b,negated_conjecture,
~ between(a,a,b),
file('/export/starexec/sandbox2/tmp/tmp.cDpW887Tkq/E---3.1_20636.p',prove_a_between_a_and_b) ).
cnf(c_0_7,plain,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
inference(fof_simplification,[status(thm)],[identity_for_equidistance]) ).
cnf(c_0_8,plain,
( X1 = X2
| ~ between(X1,X2,X1) ),
inference(fof_simplification,[status(thm)],[identity_for_betweeness]) ).
cnf(c_0_9,plain,
( between(X1,outer_pasch(X2,X1,X4,X5,X3),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X3,X5) ),
inference(fof_simplification,[status(thm)],[outer_pasch1]) ).
cnf(c_0_10,plain,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
c_0_7 ).
cnf(c_0_11,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_12,plain,
( X1 = X2
| ~ between(X1,X2,X1) ),
c_0_8 ).
cnf(c_0_13,plain,
( between(X1,outer_pasch(X2,X1,X4,X5,X3),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X3,X5) ),
c_0_9 ).
cnf(c_0_14,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1 ).
cnf(c_0_15,plain,
extension(X1,X2,X3,X3) = X2,
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
( outer_pasch(X1,X2,X2,X3,X4) = X2
| ~ between(X2,X4,X3)
| ~ between(X2,X1,X4) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
between(X1,X2,X2),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
( between(X5,X2,outer_pasch(X2,X1,X4,X5,X3))
| ~ between(X1,X2,X3)
| ~ between(X4,X3,X5) ),
inference(fof_simplification,[status(thm)],[outer_pasch2]) ).
cnf(c_0_19,plain,
( outer_pasch(X1,X2,X2,X3,X3) = X2
| ~ between(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
~ between(a,a,b),
inference(fof_simplification,[status(thm)],[prove_a_between_a_and_b]) ).
cnf(c_0_21,plain,
( between(X5,X2,outer_pasch(X2,X1,X4,X5,X3))
| ~ between(X1,X2,X3)
| ~ between(X4,X3,X5) ),
c_0_18 ).
cnf(c_0_22,plain,
outer_pasch(X1,X2,X2,X1,X1) = X2,
inference(spm,[status(thm)],[c_0_19,c_0_17]) ).
cnf(c_0_23,negated_conjecture,
~ between(a,a,b),
c_0_20 ).
cnf(c_0_24,plain,
between(X1,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_17])]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO002-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.09/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n016.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 18:45:52 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 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.cDpW887Tkq/E---3.1_20636.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 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 20716 completed with status 0
% 0.16/0.42 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 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 # No SInE strategy applied
% 0.16/0.42 # Search class: FGUSS-FFMF33-SFFFFFNN
% 0.16/0.42 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.42 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 888s (1) cores
% 0.16/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.42 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.16/0.42 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.16/0.42 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.16/0.42 # 208_C09_12_F1_SE_CS_SP_PS_S070I with pid 20725 completed with status 0
% 0.16/0.42 # Result found by 208_C09_12_F1_SE_CS_SP_PS_S070I
% 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 # No SInE strategy applied
% 0.16/0.42 # Search class: FGUSS-FFMF33-SFFFFFNN
% 0.16/0.42 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.42 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 888s (1) cores
% 0.16/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.42 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.16/0.42 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (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 Unsatisfiable
% 0.16/0.42 # SZS output start CNFRefutation
% See solution above
% 0.16/0.42 # Parsed axioms : 21
% 0.16/0.42 # Removed by relevancy pruning/SinE : 0
% 0.16/0.42 # Initial clauses : 21
% 0.16/0.42 # Removed in clause preprocessing : 0
% 0.16/0.42 # Initial clauses in saturation : 21
% 0.16/0.42 # Processed clauses : 54
% 0.16/0.42 # ...of these trivial : 0
% 0.16/0.42 # ...subsumed : 0
% 0.16/0.42 # ...remaining for further processing : 54
% 0.16/0.42 # Other redundant clauses eliminated : 0
% 0.16/0.42 # Clauses deleted for lack of memory : 0
% 0.16/0.42 # Backward-subsumed : 0
% 0.16/0.42 # Backward-rewritten : 1
% 0.16/0.42 # Generated clauses : 69
% 0.16/0.42 # ...of the previous two non-redundant : 52
% 0.16/0.42 # ...aggressively subsumed : 0
% 0.16/0.42 # Contextual simplify-reflections : 0
% 0.16/0.42 # Paramodulations : 69
% 0.16/0.42 # Factorizations : 0
% 0.16/0.42 # NegExts : 0
% 0.16/0.42 # Equation resolutions : 0
% 0.16/0.42 # Disequality decompositions : 0
% 0.16/0.42 # Total rewrite steps : 13
% 0.16/0.42 # ...of those cached : 6
% 0.16/0.42 # Propositional unsat checks : 0
% 0.16/0.42 # Propositional check models : 0
% 0.16/0.42 # Propositional check unsatisfiable : 0
% 0.16/0.42 # Propositional clauses : 0
% 0.16/0.42 # Propositional clauses after purity: 0
% 0.16/0.42 # Propositional unsat core size : 0
% 0.16/0.42 # Propositional preprocessing time : 0.000
% 0.16/0.42 # Propositional encoding time : 0.000
% 0.16/0.42 # Propositional solver time : 0.000
% 0.16/0.42 # Success case prop preproc time : 0.000
% 0.16/0.42 # Success case prop encoding time : 0.000
% 0.16/0.42 # Success case prop solver time : 0.000
% 0.16/0.42 # Current number of processed clauses : 32
% 0.16/0.42 # Positive orientable unit clauses : 9
% 0.16/0.42 # Positive unorientable unit clauses: 0
% 0.16/0.42 # Negative unit clauses : 3
% 0.16/0.42 # Non-unit-clauses : 20
% 0.16/0.42 # Current number of unprocessed clauses: 40
% 0.16/0.42 # ...number of literals in the above : 187
% 0.16/0.42 # Current number of archived formulas : 0
% 0.16/0.42 # Current number of archived clauses : 22
% 0.16/0.42 # Clause-clause subsumption calls (NU) : 301
% 0.16/0.42 # Rec. Clause-clause subsumption calls : 151
% 0.16/0.42 # Non-unit clause-clause subsumptions : 0
% 0.16/0.42 # Unit Clause-clause subsumption calls : 26
% 0.16/0.42 # Rewrite failures with RHS unbound : 0
% 0.16/0.42 # BW rewrite match attempts : 83
% 0.16/0.42 # BW rewrite match successes : 1
% 0.16/0.42 # Condensation attempts : 0
% 0.16/0.42 # Condensation successes : 0
% 0.16/0.42 # Termbank termtop insertions : 1559
% 0.16/0.42 # Search garbage collected termcells : 80
% 0.16/0.42
% 0.16/0.42 # -------------------------------------------------
% 0.16/0.42 # User time : 0.003 s
% 0.16/0.42 # System time : 0.004 s
% 0.16/0.42 # Total time : 0.007 s
% 0.16/0.42 # Maximum resident set size: 1660 pages
% 0.16/0.42
% 0.16/0.42 # -------------------------------------------------
% 0.16/0.42 # User time : 0.023 s
% 0.16/0.42 # System time : 0.009 s
% 0.16/0.42 # Total time : 0.032 s
% 0.16/0.42 # Maximum resident set size: 1712 pages
% 0.16/0.42 % E---3.1 exiting
% 0.16/0.43 % E exiting
%------------------------------------------------------------------------------