TSTP Solution File: GEO045-2 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : GEO045-2 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.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 : Mon May 20 20:00:18 EDT 2024
% Result : Unsatisfiable 0.95s 0.58s
% Output : CNFRefutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of clauses : 53 ( 26 unt; 5 nHn; 41 RR)
% Number of literals : 120 ( 24 equ; 68 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 3 ( 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 : 157 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_equidistance,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(identity_for_betweeness,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
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/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).
cnf(segment_construction2,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(transitivity_for_equidistance,axiom,
( equidistant(X3,X4,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
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/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
cnf(outer_five_segment,axiom,
( X1 = X2
| equidistant(X5,X7,X6,X8)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X2,X7,X4,X8)
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',outer_five_segment) ).
cnf(w_between_v_and_x,hypothesis,
between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_v_and_x) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(v_not_w,hypothesis,
v != w,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_not_w) ).
cnf(prove_v_between_u_and_x,negated_conjecture,
~ between(u,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_between_u_and_x) ).
cnf(c_0_12,plain,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
inference(fof_simplification,[status(thm)],[identity_for_equidistance]) ).
cnf(c_0_13,plain,
( X1 = X2
| ~ between(X1,X2,X1) ),
inference(fof_simplification,[status(thm)],[identity_for_betweeness]) ).
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_12 ).
cnf(c_0_16,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_17,plain,
( X1 = X2
| ~ between(X1,X2,X1) ),
c_0_13 ).
cnf(c_0_18,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_19,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1 ).
cnf(c_0_20,plain,
extension(X1,X2,X3,X3) = X2,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( equidistant(X3,X4,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(fof_simplification,[status(thm)],[transitivity_for_equidistance]) ).
cnf(c_0_22,plain,
( inner_pasch(X1,X2,X3,X4,X2) = X2
| ~ between(X2,X4,X3)
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
between(X1,X2,X2),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
( equidistant(X3,X4,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
c_0_21 ).
cnf(c_0_25,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_26,plain,
( inner_pasch(X1,X2,X3,X3,X2) = X2
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
( X1 = X2
| equidistant(X5,X7,X6,X8)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X2,X7,X4,X8)
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
inference(fof_simplification,[status(thm)],[outer_five_segment]) ).
cnf(c_0_28,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,extension(X6,X5,X3,X4),X1,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_16]) ).
cnf(c_0_29,hypothesis,
between(v,w,x),
w_between_v_and_x ).
cnf(c_0_30,plain,
( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
c_0_25 ).
cnf(c_0_31,plain,
inner_pasch(X1,X2,extension(X1,X2,X3,X4),extension(X1,X2,X3,X4),X2) = X2,
inference(spm,[status(thm)],[c_0_26,c_0_19]) ).
cnf(c_0_32,plain,
( X1 = X2
| equidistant(X5,X7,X6,X8)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X2,X7,X4,X8)
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
c_0_27 ).
cnf(c_0_33,plain,
equidistant(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_28,c_0_16]) ).
cnf(c_0_34,hypothesis,
( inner_pasch(X1,v,x,w,v) = v
| ~ between(X1,v,x) ),
inference(spm,[status(thm)],[c_0_22,c_0_29]) ).
cnf(c_0_35,plain,
between(extension(X1,X2,X3,X4),X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_23]),c_0_19])]) ).
cnf(c_0_36,plain,
( inner_pasch(X1,X2,X3,X1,X4) = X1
| ~ between(X4,X1,X3)
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_30]) ).
cnf(c_0_37,hypothesis,
between(u,v,w),
v_between_u_and_w ).
cnf(c_0_38,plain,
( X1 = X2
| equidistant(X3,X4,X5,X4)
| ~ between(X6,X2,X5)
| ~ between(X1,X2,X3)
| ~ equidistant(X2,X3,X2,X5)
| ~ equidistant(X1,X4,X6,X4)
| ~ equidistant(X1,X2,X6,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,hypothesis,
inner_pasch(extension(x,v,X1,X2),v,x,w,v) = v,
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,hypothesis,
v != w,
inference(fof_simplification,[status(thm)],[v_not_w]) ).
cnf(c_0_41,hypothesis,
( inner_pasch(v,X1,w,v,u) = v
| ~ between(v,X1,w) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
( X1 = X2
| equidistant(extension(X3,X2,X2,X4),X5,X4,X5)
| ~ between(X1,X2,extension(X3,X2,X2,X4))
| ~ between(X6,X2,X4)
| ~ equidistant(X1,X5,X6,X5)
| ~ equidistant(X1,X2,X6,X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_16]) ).
cnf(c_0_43,hypothesis,
between(w,v,extension(x,v,X1,X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_39]),c_0_29]),c_0_35])]) ).
cnf(c_0_44,hypothesis,
v != w,
c_0_40 ).
cnf(c_0_45,hypothesis,
inner_pasch(v,w,w,v,u) = v,
inference(spm,[status(thm)],[c_0_41,c_0_23]) ).
cnf(c_0_46,hypothesis,
( equidistant(extension(x,v,v,X1),X2,X1,X2)
| ~ between(X3,v,X1)
| ~ equidistant(w,v,X3,v)
| ~ equidistant(w,X2,X3,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_47,hypothesis,
between(w,v,u),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_45]),c_0_37]),c_0_23])]) ).
cnf(c_0_48,hypothesis,
equidistant(extension(x,v,v,u),X1,u,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_33]),c_0_33])]) ).
cnf(c_0_49,negated_conjecture,
~ between(u,v,x),
inference(fof_simplification,[status(thm)],[prove_v_between_u_and_x]) ).
cnf(c_0_50,hypothesis,
extension(x,v,v,u) = u,
inference(spm,[status(thm)],[c_0_15,c_0_48]) ).
cnf(c_0_51,negated_conjecture,
~ between(u,v,x),
c_0_49 ).
cnf(c_0_52,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_50]),c_0_51]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO045-2 : TPTP v8.2.0. Released v1.0.0.
% 0.04/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n025.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 : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 13:56:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order model finding
% 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 --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.95/0.58 # Version: 3.1.0
% 0.95/0.58 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.95/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.95/0.58 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.95/0.58 # Starting new_bool_3 with 300s (1) cores
% 0.95/0.58 # Starting new_bool_1 with 300s (1) cores
% 0.95/0.58 # Starting sh5l with 300s (1) cores
% 0.95/0.58 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 12028 completed with status 0
% 0.95/0.58 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.95/0.58 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.95/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.95/0.58 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.95/0.58 # No SInE strategy applied
% 0.95/0.58 # Search class: FGUSS-FFMF33-SFFFFFNN
% 0.95/0.58 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.95/0.58 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 888s (1) cores
% 0.95/0.58 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.95/0.58 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.95/0.58 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.95/0.58 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.95/0.58 # G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with pid 12034 completed with status 0
% 0.95/0.58 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I
% 0.95/0.58 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.95/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.95/0.58 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.95/0.58 # No SInE strategy applied
% 0.95/0.58 # Search class: FGUSS-FFMF33-SFFFFFNN
% 0.95/0.58 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.95/0.58 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 888s (1) cores
% 0.95/0.58 # Preprocessing time : 0.001 s
% 0.95/0.58
% 0.95/0.58 # Proof found!
% 0.95/0.58 # SZS status Unsatisfiable
% 0.95/0.58 # SZS output start CNFRefutation
% See solution above
% 0.95/0.58 # Parsed axioms : 22
% 0.95/0.58 # Removed by relevancy pruning/SinE : 0
% 0.95/0.58 # Initial clauses : 22
% 0.95/0.58 # Removed in clause preprocessing : 0
% 0.95/0.58 # Initial clauses in saturation : 22
% 0.95/0.58 # Processed clauses : 579
% 0.95/0.58 # ...of these trivial : 26
% 0.95/0.58 # ...subsumed : 139
% 0.95/0.58 # ...remaining for further processing : 414
% 0.95/0.58 # Other redundant clauses eliminated : 0
% 0.95/0.58 # Clauses deleted for lack of memory : 0
% 0.95/0.58 # Backward-subsumed : 16
% 0.95/0.58 # Backward-rewritten : 57
% 0.95/0.58 # Generated clauses : 3758
% 0.95/0.58 # ...of the previous two non-redundant : 3229
% 0.95/0.58 # ...aggressively subsumed : 0
% 0.95/0.58 # Contextual simplify-reflections : 0
% 0.95/0.58 # Paramodulations : 3758
% 0.95/0.58 # Factorizations : 0
% 0.95/0.58 # NegExts : 0
% 0.95/0.58 # Equation resolutions : 0
% 0.95/0.58 # Disequality decompositions : 0
% 0.95/0.58 # Total rewrite steps : 2185
% 0.95/0.58 # ...of those cached : 1883
% 0.95/0.58 # Propositional unsat checks : 0
% 0.95/0.58 # Propositional check models : 0
% 0.95/0.58 # Propositional check unsatisfiable : 0
% 0.95/0.58 # Propositional clauses : 0
% 0.95/0.58 # Propositional clauses after purity: 0
% 0.95/0.58 # Propositional unsat core size : 0
% 0.95/0.58 # Propositional preprocessing time : 0.000
% 0.95/0.58 # Propositional encoding time : 0.000
% 0.95/0.58 # Propositional solver time : 0.000
% 0.95/0.58 # Success case prop preproc time : 0.000
% 0.95/0.58 # Success case prop encoding time : 0.000
% 0.95/0.58 # Success case prop solver time : 0.000
% 0.95/0.58 # Current number of processed clauses : 341
% 0.95/0.58 # Positive orientable unit clauses : 132
% 0.95/0.58 # Positive unorientable unit clauses: 0
% 0.95/0.58 # Negative unit clauses : 5
% 0.95/0.58 # Non-unit-clauses : 204
% 0.95/0.58 # Current number of unprocessed clauses: 2638
% 0.95/0.58 # ...number of literals in the above : 13205
% 0.95/0.58 # Current number of archived formulas : 0
% 0.95/0.58 # Current number of archived clauses : 73
% 0.95/0.58 # Clause-clause subsumption calls (NU) : 18434
% 0.95/0.58 # Rec. Clause-clause subsumption calls : 5925
% 0.95/0.58 # Non-unit clause-clause subsumptions : 152
% 0.95/0.58 # Unit Clause-clause subsumption calls : 934
% 0.95/0.58 # Rewrite failures with RHS unbound : 0
% 0.95/0.58 # BW rewrite match attempts : 1852
% 0.95/0.58 # BW rewrite match successes : 35
% 0.95/0.58 # Condensation attempts : 0
% 0.95/0.58 # Condensation successes : 0
% 0.95/0.58 # Termbank termtop insertions : 87011
% 0.95/0.58 # Search garbage collected termcells : 77
% 0.95/0.58
% 0.95/0.58 # -------------------------------------------------
% 0.95/0.58 # User time : 0.094 s
% 0.95/0.58 # System time : 0.004 s
% 0.95/0.58 # Total time : 0.098 s
% 0.95/0.58 # Maximum resident set size: 1656 pages
% 0.95/0.58
% 0.95/0.58 # -------------------------------------------------
% 0.95/0.58 # User time : 0.445 s
% 0.95/0.58 # System time : 0.020 s
% 0.95/0.58 # Total time : 0.465 s
% 0.95/0.58 # Maximum resident set size: 1716 pages
% 0.95/0.58 % E---3.1 exiting
%------------------------------------------------------------------------------