TSTP Solution File: GEO008-1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO008-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.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 17:31:03 EDT 2023
% Result : Unsatisfiable 0.21s 0.65s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 32 ( 16 unt; 0 nHn; 26 RR)
% Number of literals : 59 ( 6 equ; 29 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-5 aty)
% Number of variables : 76 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_betweeness,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.GCmWv0K8vp/E---3.1_15363.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.GCmWv0K8vp/E---3.1_15363.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.GCmWv0K8vp/E---3.1_15363.p',outer_pasch2) ).
cnf(identity_for_equidistance,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.GCmWv0K8vp/E---3.1_15363.p',identity_for_equidistance) ).
cnf(segment_construction2,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox2/tmp/tmp.GCmWv0K8vp/E---3.1_15363.p',segment_construction2) ).
cnf(d_between_a_and_e,hypothesis,
between(a,d,e),
file('/export/starexec/sandbox2/tmp/tmp.GCmWv0K8vp/E---3.1_15363.p',d_between_a_and_e) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox2/tmp/tmp.GCmWv0K8vp/E---3.1_15363.p',segment_construction1) ).
cnf(b_between_c_and_d,hypothesis,
between(c,b,d),
file('/export/starexec/sandbox2/tmp/tmp.GCmWv0K8vp/E---3.1_15363.p',b_between_c_and_d) ).
cnf(c_between_a_and_e,hypothesis,
between(a,c,e),
file('/export/starexec/sandbox2/tmp/tmp.GCmWv0K8vp/E---3.1_15363.p',c_between_a_and_e) ).
cnf(prove_betweenness,negated_conjecture,
~ between(a,b,e),
file('/export/starexec/sandbox2/tmp/tmp.GCmWv0K8vp/E---3.1_15363.p',prove_betweenness) ).
cnf(c_0_10,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
identity_for_betweeness ).
cnf(c_0_11,axiom,
( between(X1,outer_pasch(X2,X1,X4,X5,X3),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X3,X5) ),
outer_pasch1 ).
cnf(c_0_12,axiom,
( between(X5,X2,outer_pasch(X2,X1,X4,X5,X3))
| ~ between(X1,X2,X3)
| ~ between(X4,X3,X5) ),
outer_pasch2 ).
cnf(c_0_13,plain,
( outer_pasch(X1,X2,X2,X3,X4) = X2
| ~ between(X2,X4,X3)
| ~ between(X2,X1,X4) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
identity_for_equidistance ).
cnf(c_0_15,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_16,plain,
( between(X1,X2,X3)
| ~ between(X3,X4,X1)
| ~ between(X3,X2,X4) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,hypothesis,
between(a,d,e),
d_between_a_and_e ).
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_14,c_0_15]) ).
cnf(c_0_20,hypothesis,
( between(e,X1,a)
| ~ between(a,X1,d) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
between(X1,X2,X2),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,hypothesis,
( between(a,X1,e)
| ~ between(a,X2,d)
| ~ between(e,X1,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_20]) ).
cnf(c_0_23,plain,
( between(X1,X2,X3)
| ~ between(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_21]) ).
cnf(c_0_24,hypothesis,
( between(a,X1,e)
| ~ between(a,outer_pasch(X1,X2,X3,e,X4),d)
| ~ between(X3,X4,e)
| ~ between(X2,X1,X4) ),
inference(spm,[status(thm)],[c_0_22,c_0_12]) ).
cnf(c_0_25,plain,
( between(X1,outer_pasch(X2,X3,X1,X4,X5),X3)
| ~ between(X1,X5,X4)
| ~ between(X3,X2,X5) ),
inference(spm,[status(thm)],[c_0_23,c_0_11]) ).
cnf(c_0_26,hypothesis,
between(c,b,d),
b_between_c_and_d ).
cnf(c_0_27,hypothesis,
( between(a,X1,e)
| ~ between(a,X2,e)
| ~ between(d,X1,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,hypothesis,
between(d,b,c),
inference(spm,[status(thm)],[c_0_23,c_0_26]) ).
cnf(c_0_29,hypothesis,
between(a,c,e),
c_between_a_and_e ).
cnf(c_0_30,negated_conjecture,
~ between(a,b,e),
prove_betweenness ).
cnf(c_0_31,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO008-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n020.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 06:17:01 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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.GCmWv0K8vp/E---3.1_15363.p
% 0.21/0.65 # Version: 3.1pre001
% 0.21/0.65 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.21/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.65 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.21/0.65 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.65 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.65 # Starting sh5l with 300s (1) cores
% 0.21/0.65 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 15441 completed with status 0
% 0.21/0.65 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.21/0.65 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.21/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.65 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.21/0.65 # No SInE strategy applied
% 0.21/0.65 # Search class: FGUSS-FFMS33-SFFFFFNN
% 0.21/0.65 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.65 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 675s (1) cores
% 0.21/0.65 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.21/0.65 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S0Y with 161s (1) cores
% 0.21/0.65 # Starting new_bool_3 with 161s (1) cores
% 0.21/0.65 # Starting new_bool_1 with 161s (1) cores
% 0.21/0.65 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S0Y with pid 15448 completed with status 0
% 0.21/0.65 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S0Y
% 0.21/0.65 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.21/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.65 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.21/0.65 # No SInE strategy applied
% 0.21/0.65 # Search class: FGUSS-FFMS33-SFFFFFNN
% 0.21/0.65 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.65 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 675s (1) cores
% 0.21/0.65 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.21/0.65 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S0Y with 161s (1) cores
% 0.21/0.65 # Preprocessing time : 0.001 s
% 0.21/0.65 # Presaturation interreduction done
% 0.21/0.65
% 0.21/0.65 # Proof found!
% 0.21/0.65 # SZS status Unsatisfiable
% 0.21/0.65 # SZS output start CNFRefutation
% See solution above
% 0.21/0.65 # Parsed axioms : 24
% 0.21/0.65 # Removed by relevancy pruning/SinE : 0
% 0.21/0.65 # Initial clauses : 24
% 0.21/0.65 # Removed in clause preprocessing : 0
% 0.21/0.65 # Initial clauses in saturation : 24
% 0.21/0.65 # Processed clauses : 1160
% 0.21/0.65 # ...of these trivial : 1
% 0.21/0.65 # ...subsumed : 503
% 0.21/0.65 # ...remaining for further processing : 656
% 0.21/0.65 # Other redundant clauses eliminated : 0
% 0.21/0.65 # Clauses deleted for lack of memory : 0
% 0.21/0.65 # Backward-subsumed : 254
% 0.21/0.65 # Backward-rewritten : 2
% 0.21/0.65 # Generated clauses : 6208
% 0.21/0.65 # ...of the previous two non-redundant : 5540
% 0.21/0.65 # ...aggressively subsumed : 0
% 0.21/0.65 # Contextual simplify-reflections : 4
% 0.21/0.65 # Paramodulations : 6208
% 0.21/0.65 # Factorizations : 0
% 0.21/0.65 # NegExts : 0
% 0.21/0.65 # Equation resolutions : 0
% 0.21/0.65 # Total rewrite steps : 986
% 0.21/0.65 # Propositional unsat checks : 0
% 0.21/0.65 # Propositional check models : 0
% 0.21/0.65 # Propositional check unsatisfiable : 0
% 0.21/0.65 # Propositional clauses : 0
% 0.21/0.65 # Propositional clauses after purity: 0
% 0.21/0.65 # Propositional unsat core size : 0
% 0.21/0.65 # Propositional preprocessing time : 0.000
% 0.21/0.65 # Propositional encoding time : 0.000
% 0.21/0.65 # Propositional solver time : 0.000
% 0.21/0.65 # Success case prop preproc time : 0.000
% 0.21/0.65 # Success case prop encoding time : 0.000
% 0.21/0.65 # Success case prop solver time : 0.000
% 0.21/0.65 # Current number of processed clauses : 376
% 0.21/0.65 # Positive orientable unit clauses : 36
% 0.21/0.65 # Positive unorientable unit clauses: 0
% 0.21/0.65 # Negative unit clauses : 11
% 0.21/0.65 # Non-unit-clauses : 329
% 0.21/0.65 # Current number of unprocessed clauses: 3428
% 0.21/0.65 # ...number of literals in the above : 18439
% 0.21/0.65 # Current number of archived formulas : 0
% 0.21/0.65 # Current number of archived clauses : 280
% 0.21/0.65 # Clause-clause subsumption calls (NU) : 132539
% 0.21/0.65 # Rec. Clause-clause subsumption calls : 89571
% 0.21/0.65 # Non-unit clause-clause subsumptions : 534
% 0.21/0.65 # Unit Clause-clause subsumption calls : 1851
% 0.21/0.65 # Rewrite failures with RHS unbound : 0
% 0.21/0.65 # BW rewrite match attempts : 493
% 0.21/0.65 # BW rewrite match successes : 2
% 0.21/0.65 # Condensation attempts : 0
% 0.21/0.65 # Condensation successes : 0
% 0.21/0.65 # Termbank termtop insertions : 97103
% 0.21/0.65
% 0.21/0.65 # -------------------------------------------------
% 0.21/0.65 # User time : 0.153 s
% 0.21/0.65 # System time : 0.009 s
% 0.21/0.65 # Total time : 0.162 s
% 0.21/0.65 # Maximum resident set size: 1648 pages
% 0.21/0.65
% 0.21/0.65 # -------------------------------------------------
% 0.21/0.65 # User time : 0.719 s
% 0.21/0.65 # System time : 0.027 s
% 0.21/0.65 # Total time : 0.746 s
% 0.21/0.65 # Maximum resident set size: 1696 pages
% 0.21/0.65 % E---3.1 exiting
% 0.21/0.65 % E---3.1 exiting
%------------------------------------------------------------------------------