TSTP Solution File: GEO042-2 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GEO042-2 : TPTP v8.1.2. Released v1.0.0.
% 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 : 300s
% WCLimit : 300s
% DateTime : Sat May 4 07:41:20 EDT 2024
% Result : Unsatisfiable 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 33 ( 17 unt; 0 nHn; 27 RR)
% Number of literals : 57 ( 13 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 : 6 ( 6 usr; 4 con; 0-5 aty)
% Number of variables : 78 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_betweeness,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.Zf6H6KgmWP/E---3.1_4920.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/sandbox/tmp/tmp.Zf6H6KgmWP/E---3.1_4920.p',inner_pasch2) ).
cnf(identity_for_equidistance,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
file('/export/starexec/sandbox/tmp/tmp.Zf6H6KgmWP/E---3.1_4920.p',identity_for_equidistance) ).
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/sandbox/tmp/tmp.Zf6H6KgmWP/E---3.1_4920.p',inner_pasch1) ).
cnf(segment_construction2,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox/tmp/tmp.Zf6H6KgmWP/E---3.1_4920.p',segment_construction2) ).
cnf(v_between_u_and_x,hypothesis,
between(u,v,x),
file('/export/starexec/sandbox/tmp/tmp.Zf6H6KgmWP/E---3.1_4920.p',v_between_u_and_x) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox/tmp/tmp.Zf6H6KgmWP/E---3.1_4920.p',segment_construction1) ).
cnf(w_between_v_and_x,hypothesis,
between(v,w,x),
file('/export/starexec/sandbox/tmp/tmp.Zf6H6KgmWP/E---3.1_4920.p',w_between_v_and_x) ).
cnf(prove_v_between_u_and_w,negated_conjecture,
~ between(u,v,w),
file('/export/starexec/sandbox/tmp/tmp.Zf6H6KgmWP/E---3.1_4920.p',prove_v_between_u_and_w) ).
cnf(c_0_9,plain,
( X1 = X2
| ~ between(X1,X2,X1) ),
inference(fof_simplification,[status(thm)],[identity_for_betweeness]) ).
cnf(c_0_10,plain,
( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
inference(fof_simplification,[status(thm)],[inner_pasch2]) ).
cnf(c_0_11,plain,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
inference(fof_simplification,[status(thm)],[identity_for_equidistance]) ).
cnf(c_0_12,plain,
( X1 = X2
| ~ between(X1,X2,X1) ),
c_0_9 ).
cnf(c_0_13,plain,
( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
c_0_10 ).
cnf(c_0_14,plain,
( between(X2,inner_pasch(X1,X2,X3,X5,X4),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
inference(fof_simplification,[status(thm)],[inner_pasch1]) ).
cnf(c_0_15,plain,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
c_0_11 ).
cnf(c_0_16,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_17,plain,
( inner_pasch(X1,X2,X3,X1,X4) = X1
| ~ between(X4,X1,X3)
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,hypothesis,
between(u,v,x),
v_between_u_and_x ).
cnf(c_0_19,plain,
( between(X2,inner_pasch(X1,X2,X3,X5,X4),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
c_0_14 ).
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_15,c_0_16]) ).
cnf(c_0_22,hypothesis,
( inner_pasch(v,X1,x,v,u) = v
| ~ between(v,X1,x) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,hypothesis,
between(v,w,x),
w_between_v_and_x ).
cnf(c_0_24,plain,
( inner_pasch(X1,X2,X3,X4,X2) = X2
| ~ between(X2,X4,X3)
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_12,c_0_19]) ).
cnf(c_0_25,plain,
between(X1,X2,X2),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,hypothesis,
inner_pasch(v,w,x,v,u) = v,
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
( inner_pasch(X1,X2,X3,X3,X2) = X2
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,hypothesis,
between(w,v,u),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_26]),c_0_18]),c_0_23])]) ).
cnf(c_0_29,negated_conjecture,
~ between(u,v,w),
inference(fof_simplification,[status(thm)],[prove_v_between_u_and_w]) ).
cnf(c_0_30,hypothesis,
inner_pasch(w,v,u,u,v) = v,
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
~ between(u,v,w),
c_0_29 ).
cnf(c_0_32,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_30]),c_0_25]),c_0_28])]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GEO042-2 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.10 % Command : run_E %s %d THM
% 0.10/0.29 % Computer : n002.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Fri May 3 18:26:23 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.Zf6H6KgmWP/E---3.1_4920.p
% 0.14/0.40 # Version: 3.1.0
% 0.14/0.40 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.40 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.40 # Starting new_bool_1 with 300s (1) cores
% 0.14/0.40 # Starting sh5l with 300s (1) cores
% 0.14/0.40 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4998 completed with status 0
% 0.14/0.40 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.40 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.40 # No SInE strategy applied
% 0.14/0.40 # Search class: FGUSS-FFMF33-SFFFFFNN
% 0.14/0.40 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.40 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 888s (1) cores
% 0.14/0.40 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/0.40 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.14/0.40 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.14/0.40 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.14/0.40 # 208_C09_12_F1_SE_CS_SP_PS_S070I with pid 5007 completed with status 0
% 0.14/0.40 # Result found by 208_C09_12_F1_SE_CS_SP_PS_S070I
% 0.14/0.40 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.40 # No SInE strategy applied
% 0.14/0.40 # Search class: FGUSS-FFMF33-SFFFFFNN
% 0.14/0.40 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.40 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 888s (1) cores
% 0.14/0.40 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/0.40 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.14/0.40 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.14/0.40 # Preprocessing time : 0.001 s
% 0.14/0.40 # Presaturation interreduction done
% 0.14/0.40
% 0.14/0.40 # Proof found!
% 0.14/0.40 # SZS status Unsatisfiable
% 0.14/0.40 # SZS output start CNFRefutation
% See solution above
% 0.14/0.40 # Parsed axioms : 21
% 0.14/0.40 # Removed by relevancy pruning/SinE : 0
% 0.14/0.40 # Initial clauses : 21
% 0.14/0.40 # Removed in clause preprocessing : 0
% 0.14/0.40 # Initial clauses in saturation : 21
% 0.14/0.40 # Processed clauses : 78
% 0.14/0.40 # ...of these trivial : 0
% 0.14/0.40 # ...subsumed : 1
% 0.14/0.40 # ...remaining for further processing : 77
% 0.14/0.40 # Other redundant clauses eliminated : 0
% 0.14/0.40 # Clauses deleted for lack of memory : 0
% 0.14/0.40 # Backward-subsumed : 0
% 0.14/0.40 # Backward-rewritten : 0
% 0.14/0.40 # Generated clauses : 155
% 0.14/0.40 # ...of the previous two non-redundant : 116
% 0.14/0.40 # ...aggressively subsumed : 0
% 0.14/0.40 # Contextual simplify-reflections : 0
% 0.14/0.40 # Paramodulations : 155
% 0.14/0.40 # Factorizations : 0
% 0.14/0.40 # NegExts : 0
% 0.14/0.40 # Equation resolutions : 0
% 0.14/0.40 # Disequality decompositions : 0
% 0.14/0.40 # Total rewrite steps : 90
% 0.14/0.40 # ...of those cached : 59
% 0.14/0.40 # Propositional unsat checks : 0
% 0.14/0.40 # Propositional check models : 0
% 0.14/0.40 # Propositional check unsatisfiable : 0
% 0.14/0.40 # Propositional clauses : 0
% 0.14/0.40 # Propositional clauses after purity: 0
% 0.14/0.40 # Propositional unsat core size : 0
% 0.14/0.40 # Propositional preprocessing time : 0.000
% 0.14/0.40 # Propositional encoding time : 0.000
% 0.14/0.40 # Propositional solver time : 0.000
% 0.14/0.40 # Success case prop preproc time : 0.000
% 0.14/0.40 # Success case prop encoding time : 0.000
% 0.14/0.40 # Success case prop solver time : 0.000
% 0.14/0.40 # Current number of processed clauses : 56
% 0.14/0.40 # Positive orientable unit clauses : 27
% 0.14/0.40 # Positive unorientable unit clauses: 0
% 0.14/0.40 # Negative unit clauses : 4
% 0.14/0.40 # Non-unit-clauses : 25
% 0.14/0.40 # Current number of unprocessed clauses: 80
% 0.14/0.40 # ...number of literals in the above : 267
% 0.14/0.40 # Current number of archived formulas : 0
% 0.14/0.40 # Current number of archived clauses : 21
% 0.14/0.40 # Clause-clause subsumption calls (NU) : 307
% 0.14/0.40 # Rec. Clause-clause subsumption calls : 172
% 0.14/0.40 # Non-unit clause-clause subsumptions : 1
% 0.14/0.40 # Unit Clause-clause subsumption calls : 66
% 0.14/0.40 # Rewrite failures with RHS unbound : 0
% 0.14/0.40 # BW rewrite match attempts : 163
% 0.14/0.40 # BW rewrite match successes : 0
% 0.14/0.40 # Condensation attempts : 0
% 0.14/0.40 # Condensation successes : 0
% 0.14/0.40 # Termbank termtop insertions : 2391
% 0.14/0.40 # Search garbage collected termcells : 75
% 0.14/0.40
% 0.14/0.40 # -------------------------------------------------
% 0.14/0.40 # User time : 0.006 s
% 0.14/0.40 # System time : 0.002 s
% 0.14/0.40 # Total time : 0.008 s
% 0.14/0.40 # Maximum resident set size: 1660 pages
% 0.14/0.40
% 0.14/0.40 # -------------------------------------------------
% 0.14/0.40 # User time : 0.024 s
% 0.14/0.40 # System time : 0.012 s
% 0.14/0.40 # Total time : 0.036 s
% 0.14/0.40 # Maximum resident set size: 1708 pages
% 0.14/0.40 % E---3.1 exiting
% 0.14/0.41 % E exiting
%------------------------------------------------------------------------------