TSTP Solution File: GEO006-1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO006-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 17:33:20 EDT 2023
% Result : Unsatisfiable 0.20s 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 36 ( 18 unt; 3 nHn; 30 RR)
% Number of literals : 61 ( 14 equ; 27 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 : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 67 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_betweeness,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.4FABkL9GnH/E---3.1_22849.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.4FABkL9GnH/E---3.1_22849.p',outer_pasch1) ).
cnf(identity_for_equidistance,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.4FABkL9GnH/E---3.1_22849.p',identity_for_equidistance) ).
cnf(segment_construction2,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox2/tmp/tmp.4FABkL9GnH/E---3.1_22849.p',segment_construction2) ).
cnf(transitivity_for_betweeness,axiom,
( between(X1,X2,X4)
| ~ between(X1,X2,X3)
| ~ between(X2,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.4FABkL9GnH/E---3.1_22849.p',transitivity_for_betweeness) ).
cnf(c_between_a_and_d,hypothesis,
between(a,c,d),
file('/export/starexec/sandbox2/tmp/tmp.4FABkL9GnH/E---3.1_22849.p',c_between_a_and_d) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox2/tmp/tmp.4FABkL9GnH/E---3.1_22849.p',segment_construction1) ).
cnf(prove_not_between_others,negated_conjecture,
( between(c,a,d)
| between(a,d,c) ),
file('/export/starexec/sandbox2/tmp/tmp.4FABkL9GnH/E---3.1_22849.p',prove_not_between_others) ).
cnf(a_not_c,hypothesis,
a != c,
file('/export/starexec/sandbox2/tmp/tmp.4FABkL9GnH/E---3.1_22849.p',a_not_c) ).
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.4FABkL9GnH/E---3.1_22849.p',outer_pasch2) ).
cnf(c_not_d,hypothesis,
c != d,
file('/export/starexec/sandbox2/tmp/tmp.4FABkL9GnH/E---3.1_22849.p',c_not_d) ).
cnf(c_0_11,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
identity_for_betweeness ).
cnf(c_0_12,axiom,
( between(X1,outer_pasch(X2,X1,X4,X5,X3),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X3,X5) ),
outer_pasch1 ).
cnf(c_0_13,axiom,
( 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,X2,X4)
| ~ between(X1,X2,X3)
| ~ between(X2,X4,X3) ),
transitivity_for_betweeness ).
cnf(c_0_16,hypothesis,
between(a,c,d),
c_between_a_and_d ).
cnf(c_0_17,plain,
( outer_pasch(X1,X2,X2,X3,X4) = X2
| ~ between(X2,X4,X3)
| ~ between(X2,X1,X4) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1 ).
cnf(c_0_19,plain,
extension(X1,X2,X3,X3) = X2,
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,hypothesis,
( between(X1,a,c)
| ~ between(X1,a,d) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
( between(c,a,d)
| between(a,d,c) ),
prove_not_between_others ).
cnf(c_0_22,hypothesis,
( outer_pasch(X1,a,a,d,c) = a
| ~ between(a,X1,c) ),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_23,plain,
between(X1,X2,X2),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( between(a,d,c)
| between(c,a,c) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,hypothesis,
a != c,
a_not_c ).
cnf(c_0_26,axiom,
( between(X5,X2,outer_pasch(X2,X1,X4,X5,X3))
| ~ between(X1,X2,X3)
| ~ between(X4,X3,X5) ),
outer_pasch2 ).
cnf(c_0_27,hypothesis,
outer_pasch(c,a,a,d,c) = a,
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
between(a,d,c),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_24]),c_0_25]) ).
cnf(c_0_29,hypothesis,
between(d,c,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_16]),c_0_23])]) ).
cnf(c_0_30,negated_conjecture,
( outer_pasch(X1,a,a,c,d) = a
| ~ between(a,X1,d) ),
inference(spm,[status(thm)],[c_0_17,c_0_28]) ).
cnf(c_0_31,hypothesis,
( between(X1,d,c)
| ~ between(X1,d,a) ),
inference(spm,[status(thm)],[c_0_15,c_0_29]) ).
cnf(c_0_32,hypothesis,
c != d,
c_not_d ).
cnf(c_0_33,negated_conjecture,
outer_pasch(d,a,a,c,d) = a,
inference(spm,[status(thm)],[c_0_30,c_0_23]) ).
cnf(c_0_34,hypothesis,
~ between(c,d,a),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_31]),c_0_32]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_33]),c_0_28]),c_0_23])]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO006-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Oct 3 06:26:30 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.47 Running first-order model finding
% 0.20/0.47 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.4FABkL9GnH/E---3.1_22849.p
% 0.20/0.49 # Version: 3.1pre001
% 0.20/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.49 # Starting sh5l with 300s (1) cores
% 0.20/0.49 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 22938 completed with status 0
% 0.20/0.49 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.49 # No SInE strategy applied
% 0.20/0.49 # Search class: FGUSS-FFMF33-SFFFFFNN
% 0.20/0.49 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.49 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 888s (1) cores
% 0.20/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.49 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.20/0.49 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.20/0.49 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.20/0.49 # G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with pid 22946 completed with status 0
% 0.20/0.49 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I
% 0.20/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.49 # No SInE strategy applied
% 0.20/0.49 # Search class: FGUSS-FFMF33-SFFFFFNN
% 0.20/0.49 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.49 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 888s (1) cores
% 0.20/0.49 # Preprocessing time : 0.002 s
% 0.20/0.49
% 0.20/0.49 # Proof found!
% 0.20/0.49 # SZS status Unsatisfiable
% 0.20/0.49 # SZS output start CNFRefutation
% See solution above
% 0.20/0.49 # Parsed axioms : 25
% 0.20/0.49 # Removed by relevancy pruning/SinE : 0
% 0.20/0.49 # Initial clauses : 25
% 0.20/0.49 # Removed in clause preprocessing : 0
% 0.20/0.49 # Initial clauses in saturation : 25
% 0.20/0.49 # Processed clauses : 55
% 0.20/0.49 # ...of these trivial : 2
% 0.20/0.49 # ...subsumed : 0
% 0.20/0.49 # ...remaining for further processing : 53
% 0.20/0.49 # Other redundant clauses eliminated : 0
% 0.20/0.49 # Clauses deleted for lack of memory : 0
% 0.20/0.49 # Backward-subsumed : 0
% 0.20/0.49 # Backward-rewritten : 3
% 0.20/0.49 # Generated clauses : 125
% 0.20/0.49 # ...of the previous two non-redundant : 110
% 0.20/0.49 # ...aggressively subsumed : 0
% 0.20/0.49 # Contextual simplify-reflections : 0
% 0.20/0.49 # Paramodulations : 125
% 0.20/0.49 # Factorizations : 0
% 0.20/0.49 # NegExts : 0
% 0.20/0.49 # Equation resolutions : 0
% 0.20/0.49 # Total rewrite steps : 29
% 0.20/0.49 # Propositional unsat checks : 0
% 0.20/0.49 # Propositional check models : 0
% 0.20/0.49 # Propositional check unsatisfiable : 0
% 0.20/0.49 # Propositional clauses : 0
% 0.20/0.49 # Propositional clauses after purity: 0
% 0.20/0.49 # Propositional unsat core size : 0
% 0.20/0.49 # Propositional preprocessing time : 0.000
% 0.20/0.49 # Propositional encoding time : 0.000
% 0.20/0.49 # Propositional solver time : 0.000
% 0.20/0.49 # Success case prop preproc time : 0.000
% 0.20/0.49 # Success case prop encoding time : 0.000
% 0.20/0.49 # Success case prop solver time : 0.000
% 0.20/0.49 # Current number of processed clauses : 50
% 0.20/0.49 # Positive orientable unit clauses : 13
% 0.20/0.49 # Positive unorientable unit clauses: 0
% 0.20/0.49 # Negative unit clauses : 8
% 0.20/0.49 # Non-unit-clauses : 29
% 0.20/0.49 # Current number of unprocessed clauses: 72
% 0.20/0.49 # ...number of literals in the above : 313
% 0.20/0.49 # Current number of archived formulas : 0
% 0.20/0.49 # Current number of archived clauses : 3
% 0.20/0.49 # Clause-clause subsumption calls (NU) : 227
% 0.20/0.49 # Rec. Clause-clause subsumption calls : 138
% 0.20/0.49 # Non-unit clause-clause subsumptions : 0
% 0.20/0.49 # Unit Clause-clause subsumption calls : 86
% 0.20/0.49 # Rewrite failures with RHS unbound : 0
% 0.20/0.49 # BW rewrite match attempts : 78
% 0.20/0.49 # BW rewrite match successes : 1
% 0.20/0.49 # Condensation attempts : 0
% 0.20/0.49 # Condensation successes : 0
% 0.20/0.49 # Termbank termtop insertions : 2345
% 0.20/0.49
% 0.20/0.49 # -------------------------------------------------
% 0.20/0.49 # User time : 0.006 s
% 0.20/0.49 # System time : 0.003 s
% 0.20/0.49 # Total time : 0.009 s
% 0.20/0.49 # Maximum resident set size: 1644 pages
% 0.20/0.49
% 0.20/0.49 # -------------------------------------------------
% 0.20/0.49 # User time : 0.035 s
% 0.20/0.49 # System time : 0.010 s
% 0.20/0.49 # Total time : 0.044 s
% 0.20/0.49 # Maximum resident set size: 1696 pages
% 0.20/0.49 % E---3.1 exiting
%------------------------------------------------------------------------------