TSTP Solution File: GEO042-2 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO042-2 : TPTP v8.1.2. Released v1.0.0.
% 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 17:33:32 EDT 2023
% Result : Unsatisfiable 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 26 ( 14 unt; 0 nHn; 20 RR)
% Number of literals : 44 ( 6 equ; 20 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 : 6 ( 6 usr; 4 con; 0-5 aty)
% Number of variables : 61 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_betweeness,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.OAIAlTqJhk/E---3.1_11776.p',identity_for_betweeness) ).
cnf(inner_pasch2,axiom,
( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.OAIAlTqJhk/E---3.1_11776.p',inner_pasch2) ).
cnf(inner_pasch1,axiom,
( between(X2,inner_pasch(X1,X2,X3,X5,X4),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.OAIAlTqJhk/E---3.1_11776.p',inner_pasch1) ).
cnf(v_between_u_and_x,hypothesis,
between(u,v,x),
file('/export/starexec/sandbox2/tmp/tmp.OAIAlTqJhk/E---3.1_11776.p',v_between_u_and_x) ).
cnf(w_between_v_and_x,hypothesis,
between(v,w,x),
file('/export/starexec/sandbox2/tmp/tmp.OAIAlTqJhk/E---3.1_11776.p',w_between_v_and_x) ).
cnf(identity_for_equidistance,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.OAIAlTqJhk/E---3.1_11776.p',identity_for_equidistance) ).
cnf(segment_construction2,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox2/tmp/tmp.OAIAlTqJhk/E---3.1_11776.p',segment_construction2) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox2/tmp/tmp.OAIAlTqJhk/E---3.1_11776.p',segment_construction1) ).
cnf(prove_v_between_u_and_w,negated_conjecture,
~ between(u,v,w),
file('/export/starexec/sandbox2/tmp/tmp.OAIAlTqJhk/E---3.1_11776.p',prove_v_between_u_and_w) ).
cnf(c_0_9,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
identity_for_betweeness ).
cnf(c_0_10,axiom,
( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
inner_pasch2 ).
cnf(c_0_11,axiom,
( between(X2,inner_pasch(X1,X2,X3,X5,X4),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
inner_pasch1 ).
cnf(c_0_12,plain,
( inner_pasch(X1,X2,X3,X1,X4) = X1
| ~ between(X4,X1,X3)
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( between(X1,X2,X3)
| ~ between(X3,X2,X4)
| ~ between(X2,X1,X4) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,hypothesis,
between(u,v,x),
v_between_u_and_x ).
cnf(c_0_15,hypothesis,
( between(X1,v,u)
| ~ between(v,X1,x) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,hypothesis,
between(v,w,x),
w_between_v_and_x ).
cnf(c_0_17,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
identity_for_equidistance ).
cnf(c_0_18,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_19,hypothesis,
between(w,v,u),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1 ).
cnf(c_0_21,plain,
extension(X1,X2,X3,X3) = X2,
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,hypothesis,
( between(X1,v,w)
| ~ between(v,X1,u) ),
inference(spm,[status(thm)],[c_0_13,c_0_19]) ).
cnf(c_0_23,plain,
between(X1,X2,X2),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
~ between(u,v,w),
prove_v_between_u_and_w ).
cnf(c_0_25,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO042-2 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Oct 3 06:15:46 EDT 2023
% 0.13/0.34 % 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.OAIAlTqJhk/E---3.1_11776.p
% 0.20/0.50 # Version: 3.1pre001
% 0.20/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50 # Starting sh5l with 300s (1) cores
% 0.20/0.50 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 11855 completed with status 0
% 0.20/0.50 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50 # No SInE strategy applied
% 0.20/0.50 # Search class: FGUSS-FFMF33-SFFFFFNN
% 0.20/0.50 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.50 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 888s (1) cores
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.50 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.20/0.50 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.20/0.50 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.20/0.50 # SAT001_MinMin_p005000_rr_RG with pid 11866 completed with status 0
% 0.20/0.50 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50 # No SInE strategy applied
% 0.20/0.50 # Search class: FGUSS-FFMF33-SFFFFFNN
% 0.20/0.50 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.50 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 888s (1) cores
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.50 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.20/0.50 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.20/0.50 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.20/0.50 # Preprocessing time : 0.001 s
% 0.20/0.50 # Presaturation interreduction done
% 0.20/0.50
% 0.20/0.50 # Proof found!
% 0.20/0.50 # SZS status Unsatisfiable
% 0.20/0.50 # SZS output start CNFRefutation
% See solution above
% 0.20/0.50 # Parsed axioms : 21
% 0.20/0.50 # Removed by relevancy pruning/SinE : 0
% 0.20/0.50 # Initial clauses : 21
% 0.20/0.50 # Removed in clause preprocessing : 0
% 0.20/0.50 # Initial clauses in saturation : 21
% 0.20/0.50 # Processed clauses : 71
% 0.20/0.50 # ...of these trivial : 0
% 0.20/0.50 # ...subsumed : 2
% 0.20/0.50 # ...remaining for further processing : 69
% 0.20/0.50 # Other redundant clauses eliminated : 0
% 0.20/0.50 # Clauses deleted for lack of memory : 0
% 0.20/0.50 # Backward-subsumed : 0
% 0.20/0.50 # Backward-rewritten : 0
% 0.20/0.50 # Generated clauses : 140
% 0.20/0.50 # ...of the previous two non-redundant : 96
% 0.20/0.50 # ...aggressively subsumed : 0
% 0.20/0.50 # Contextual simplify-reflections : 0
% 0.20/0.50 # Paramodulations : 140
% 0.20/0.50 # Factorizations : 0
% 0.20/0.50 # NegExts : 0
% 0.20/0.50 # Equation resolutions : 0
% 0.20/0.50 # Total rewrite steps : 46
% 0.20/0.50 # Propositional unsat checks : 0
% 0.20/0.50 # Propositional check models : 0
% 0.20/0.50 # Propositional check unsatisfiable : 0
% 0.20/0.50 # Propositional clauses : 0
% 0.20/0.50 # Propositional clauses after purity: 0
% 0.20/0.50 # Propositional unsat core size : 0
% 0.20/0.50 # Propositional preprocessing time : 0.000
% 0.20/0.50 # Propositional encoding time : 0.000
% 0.20/0.50 # Propositional solver time : 0.000
% 0.20/0.50 # Success case prop preproc time : 0.000
% 0.20/0.50 # Success case prop encoding time : 0.000
% 0.20/0.50 # Success case prop solver time : 0.000
% 0.20/0.50 # Current number of processed clauses : 48
% 0.20/0.50 # Positive orientable unit clauses : 20
% 0.20/0.50 # Positive unorientable unit clauses: 0
% 0.20/0.50 # Negative unit clauses : 4
% 0.20/0.50 # Non-unit-clauses : 24
% 0.20/0.50 # Current number of unprocessed clauses: 65
% 0.20/0.50 # ...number of literals in the above : 266
% 0.20/0.50 # Current number of archived formulas : 0
% 0.20/0.50 # Current number of archived clauses : 21
% 0.20/0.50 # Clause-clause subsumption calls (NU) : 312
% 0.20/0.50 # Rec. Clause-clause subsumption calls : 162
% 0.20/0.50 # Non-unit clause-clause subsumptions : 2
% 0.20/0.50 # Unit Clause-clause subsumption calls : 23
% 0.20/0.50 # Rewrite failures with RHS unbound : 0
% 0.20/0.50 # BW rewrite match attempts : 177
% 0.20/0.50 # BW rewrite match successes : 0
% 0.20/0.50 # Condensation attempts : 0
% 0.20/0.50 # Condensation successes : 0
% 0.20/0.50 # Termbank termtop insertions : 1957
% 0.20/0.50
% 0.20/0.50 # -------------------------------------------------
% 0.20/0.50 # User time : 0.007 s
% 0.20/0.50 # System time : 0.001 s
% 0.20/0.50 # Total time : 0.008 s
% 0.20/0.50 # Maximum resident set size: 1636 pages
% 0.20/0.50
% 0.20/0.50 # -------------------------------------------------
% 0.20/0.50 # User time : 0.030 s
% 0.20/0.50 # System time : 0.007 s
% 0.20/0.50 # Total time : 0.037 s
% 0.20/0.50 # Maximum resident set size: 1692 pages
% 0.20/0.50 % E---3.1 exiting
%------------------------------------------------------------------------------