TSTP Solution File: GEO002-4 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO002-4 : TPTP v8.1.2. Released v1.1.0.
% 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 17:31:02 EDT 2023
% Result : Unsatisfiable 0.18s 0.49s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of clauses : 30 ( 12 unt; 0 nHn; 21 RR)
% Number of literals : 64 ( 0 equ; 36 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-5 aty)
% Number of variables : 105 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(transitivity_for_betweeness,axiom,
( between(X1,X2,X4)
| ~ between(X1,X2,X3)
| ~ between(X2,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.CZmTXXSKoi/E---3.1_18544.p',transitivity_for_betweeness) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox2/tmp/tmp.CZmTXXSKoi/E---3.1_18544.p',segment_construction1) ).
cnf(between_substitution3,axiom,
( between(X3,X4,X2)
| ~ equalish(X1,X2)
| ~ between(X3,X4,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.CZmTXXSKoi/E---3.1_18544.p',between_substitution3) ).
cnf(identity_for_equidistance,axiom,
( equalish(X1,X2)
| ~ equidistant(X1,X2,X3,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.CZmTXXSKoi/E---3.1_18544.p',identity_for_equidistance) ).
cnf(segment_construction2,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox2/tmp/tmp.CZmTXXSKoi/E---3.1_18544.p',segment_construction2) ).
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.CZmTXXSKoi/E---3.1_18544.p',outer_pasch1) ).
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.CZmTXXSKoi/E---3.1_18544.p',outer_pasch2) ).
cnf(prove_a_between_a_and_b,negated_conjecture,
~ between(a,a,b),
file('/export/starexec/sandbox2/tmp/tmp.CZmTXXSKoi/E---3.1_18544.p',prove_a_between_a_and_b) ).
cnf(c_0_8,axiom,
( between(X1,X2,X4)
| ~ between(X1,X2,X3)
| ~ between(X2,X4,X3) ),
transitivity_for_betweeness ).
cnf(c_0_9,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1 ).
cnf(c_0_10,plain,
( between(X1,X2,X3)
| ~ between(X1,X2,extension(X2,X3,X4,X5)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,axiom,
( between(X3,X4,X2)
| ~ equalish(X1,X2)
| ~ between(X3,X4,X1) ),
between_substitution3 ).
cnf(c_0_12,plain,
between(X1,X1,X1),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_13,axiom,
( equalish(X1,X2)
| ~ equidistant(X1,X2,X3,X3) ),
identity_for_equidistance ).
cnf(c_0_14,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_15,axiom,
( between(X1,outer_pasch(X2,X1,X4,X5,X3),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X3,X5) ),
outer_pasch1 ).
cnf(c_0_16,plain,
( between(X1,X1,X2)
| ~ equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
equalish(X1,extension(X2,X1,X3,X3)),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( between(X1,X2,outer_pasch(X3,X2,X4,X5,X6))
| ~ between(X1,X2,X4)
| ~ between(X4,X6,X5)
| ~ between(X2,X3,X6) ),
inference(spm,[status(thm)],[c_0_8,c_0_15]) ).
cnf(c_0_19,plain,
between(X1,X1,extension(X2,X1,X3,X3)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
( between(X1,X2,X3)
| ~ between(X1,X2,outer_pasch(X4,X3,X5,X6,X7))
| ~ between(X2,X3,X5)
| ~ between(X5,X7,X6)
| ~ between(X3,X4,X7) ),
inference(spm,[status(thm)],[c_0_8,c_0_18]) ).
cnf(c_0_21,axiom,
( between(X5,X2,outer_pasch(X2,X1,X4,X5,X3))
| ~ between(X1,X2,X3)
| ~ between(X4,X3,X5) ),
outer_pasch2 ).
cnf(c_0_22,plain,
( between(X1,X2,X2)
| ~ between(X1,X2,extension(X3,X2,X4,X4)) ),
inference(spm,[status(thm)],[c_0_8,c_0_19]) ).
cnf(c_0_23,plain,
( between(X1,X2,X3)
| ~ between(X2,X3,X4)
| ~ between(X4,X5,X1)
| ~ between(X3,X2,X5) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,plain,
between(X1,X2,X2),
inference(spm,[status(thm)],[c_0_22,c_0_9]) ).
cnf(c_0_25,plain,
( between(X1,X2,X3)
| ~ between(X3,X4,X1)
| ~ between(X3,X2,X4) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,plain,
( between(X1,X2,X3)
| ~ between(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
~ between(a,a,b),
prove_a_between_a_and_b ).
cnf(c_0_28,plain,
between(X1,X1,X2),
inference(spm,[status(thm)],[c_0_26,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO002-4 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 2400
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Oct 3 07:16:37 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.18/0.47 Running first-order theorem proving
% 0.18/0.47 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.CZmTXXSKoi/E---3.1_18544.p
% 0.18/0.49 # Version: 3.1pre001
% 0.18/0.49 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.18/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.18/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.49 # Starting sh5l with 300s (1) cores
% 0.18/0.49 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 18711 completed with status 0
% 0.18/0.49 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.18/0.49 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.18/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.18/0.49 # No SInE strategy applied
% 0.18/0.49 # Search class: FHUNS-FFSF33-SFFFFFNN
% 0.18/0.49 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.49 # Starting SAT001_MinMin_p005000_rr_RG with 675s (1) cores
% 0.18/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.18/0.49 # Starting new_bool_3 with 169s (1) cores
% 0.18/0.49 # Starting new_bool_1 with 169s (1) cores
% 0.18/0.49 # Starting sh5l with 169s (1) cores
% 0.18/0.49 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 18719 completed with status 0
% 0.18/0.49 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.18/0.49 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.18/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.18/0.49 # No SInE strategy applied
% 0.18/0.49 # Search class: FHUNS-FFSF33-SFFFFFNN
% 0.18/0.49 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.49 # Starting SAT001_MinMin_p005000_rr_RG with 675s (1) cores
% 0.18/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.18/0.49 # Preprocessing time : 0.002 s
% 0.18/0.49
% 0.18/0.49 # Proof found!
% 0.18/0.49 # SZS status Unsatisfiable
% 0.18/0.49 # SZS output start CNFRefutation
% See solution above
% 0.18/0.49 # Parsed axioms : 8
% 0.18/0.49 # Removed by relevancy pruning/SinE : 0
% 0.18/0.49 # Initial clauses : 8
% 0.18/0.49 # Removed in clause preprocessing : 0
% 0.18/0.49 # Initial clauses in saturation : 8
% 0.18/0.49 # Processed clauses : 38
% 0.18/0.49 # ...of these trivial : 0
% 0.18/0.49 # ...subsumed : 0
% 0.18/0.49 # ...remaining for further processing : 38
% 0.18/0.49 # Other redundant clauses eliminated : 0
% 0.18/0.49 # Clauses deleted for lack of memory : 0
% 0.18/0.49 # Backward-subsumed : 2
% 0.18/0.49 # Backward-rewritten : 4
% 0.18/0.49 # Generated clauses : 128
% 0.18/0.49 # ...of the previous two non-redundant : 101
% 0.18/0.49 # ...aggressively subsumed : 0
% 0.18/0.49 # Contextual simplify-reflections : 0
% 0.18/0.49 # Paramodulations : 128
% 0.18/0.49 # Factorizations : 0
% 0.18/0.49 # NegExts : 0
% 0.18/0.49 # Equation resolutions : 0
% 0.18/0.49 # Total rewrite steps : 16
% 0.18/0.49 # Propositional unsat checks : 0
% 0.18/0.49 # Propositional check models : 0
% 0.18/0.49 # Propositional check unsatisfiable : 0
% 0.18/0.49 # Propositional clauses : 0
% 0.18/0.49 # Propositional clauses after purity: 0
% 0.18/0.49 # Propositional unsat core size : 0
% 0.18/0.49 # Propositional preprocessing time : 0.000
% 0.18/0.49 # Propositional encoding time : 0.000
% 0.18/0.49 # Propositional solver time : 0.000
% 0.18/0.49 # Success case prop preproc time : 0.000
% 0.18/0.49 # Success case prop encoding time : 0.000
% 0.18/0.49 # Success case prop solver time : 0.000
% 0.18/0.49 # Current number of processed clauses : 32
% 0.18/0.49 # Positive orientable unit clauses : 8
% 0.18/0.49 # Positive unorientable unit clauses: 0
% 0.18/0.49 # Negative unit clauses : 0
% 0.18/0.49 # Non-unit-clauses : 24
% 0.18/0.49 # Current number of unprocessed clauses: 70
% 0.18/0.49 # ...number of literals in the above : 275
% 0.18/0.49 # Current number of archived formulas : 0
% 0.18/0.49 # Current number of archived clauses : 6
% 0.18/0.49 # Clause-clause subsumption calls (NU) : 381
% 0.18/0.49 # Rec. Clause-clause subsumption calls : 217
% 0.18/0.49 # Non-unit clause-clause subsumptions : 2
% 0.18/0.49 # Unit Clause-clause subsumption calls : 38
% 0.18/0.49 # Rewrite failures with RHS unbound : 0
% 0.18/0.49 # BW rewrite match attempts : 145
% 0.18/0.49 # BW rewrite match successes : 4
% 0.18/0.49 # Condensation attempts : 0
% 0.18/0.49 # Condensation successes : 0
% 0.18/0.49 # Termbank termtop insertions : 1583
% 0.18/0.49
% 0.18/0.49 # -------------------------------------------------
% 0.18/0.49 # User time : 0.009 s
% 0.18/0.49 # System time : 0.003 s
% 0.18/0.49 # Total time : 0.012 s
% 0.18/0.49 # Maximum resident set size: 1596 pages
% 0.18/0.49
% 0.18/0.49 # -------------------------------------------------
% 0.18/0.49 # User time : 0.049 s
% 0.18/0.49 # System time : 0.008 s
% 0.18/0.49 # Total time : 0.056 s
% 0.18/0.49 # Maximum resident set size: 1676 pages
% 0.18/0.49 % E---3.1 exiting
% 0.18/0.49 % E---3.1 exiting
%------------------------------------------------------------------------------