TSTP Solution File: GEO118+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO118+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.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 17:31:31 EDT 2023
% Result : Theorem 0.41s 0.55s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 85 ( 4 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 107 ( 40 ~; 39 |; 22 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-5 aty)
% Number of variables : 66 ( 6 sgn; 43 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(between_c_defn,axiom,
! [X1,X3,X5,X7] :
( between_c(X1,X3,X5,X7)
<=> ( X3 != X7
& ? [X8] :
( part_of(X8,X1)
& end_point(X3,X8)
& end_point(X7,X8)
& inner_point(X5,X8) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RkuZ31in8R/E---3.1_14643.p',between_c_defn) ).
fof(o3,axiom,
! [X3,X5,X7,X9] :
( between_o(X9,X3,X5,X7)
<=> ? [X1] :
( ! [X3] :
( incident_o(X3,X9)
<=> incident_c(X3,X1) )
& between_c(X1,X3,X5,X7) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RkuZ31in8R/E---3.1_14643.p',o3) ).
fof(between_o_defn,axiom,
! [X9,X3,X5,X7] :
( between_o(X9,X3,X5,X7)
<=> ( ( ordered_by(X9,X3,X5)
& ordered_by(X9,X5,X7) )
| ( ordered_by(X9,X7,X5)
& ordered_by(X9,X5,X3) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RkuZ31in8R/E---3.1_14643.p',between_o_defn) ).
fof(theorem_4_5,conjecture,
! [X9,X3,X5] :
( ordered_by(X9,X3,X5)
=> ~ ordered_by(X9,X5,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.RkuZ31in8R/E---3.1_14643.p',theorem_4_5) ).
fof(c_0_4,plain,
! [X99,X100,X101,X102,X104,X105,X106,X107,X108] :
( ( X100 != X102
| ~ between_c(X99,X100,X101,X102) )
& ( part_of(esk19_4(X99,X100,X101,X102),X99)
| ~ between_c(X99,X100,X101,X102) )
& ( end_point(X100,esk19_4(X99,X100,X101,X102))
| ~ between_c(X99,X100,X101,X102) )
& ( end_point(X102,esk19_4(X99,X100,X101,X102))
| ~ between_c(X99,X100,X101,X102) )
& ( inner_point(X101,esk19_4(X99,X100,X101,X102))
| ~ between_c(X99,X100,X101,X102) )
& ( X105 = X107
| ~ part_of(X108,X104)
| ~ end_point(X105,X108)
| ~ end_point(X107,X108)
| ~ inner_point(X106,X108)
| between_c(X104,X105,X106,X107) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[between_c_defn])])])])])]) ).
cnf(c_0_5,plain,
( X1 != X2
| ~ between_c(X3,X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_6,plain,
! [X38,X39,X40,X41,X43,X44,X45,X46,X47,X48,X49] :
( ( ~ incident_o(X43,X41)
| incident_c(X43,esk8_4(X38,X39,X40,X41))
| ~ between_o(X41,X38,X39,X40) )
& ( ~ incident_c(X44,esk8_4(X38,X39,X40,X41))
| incident_o(X44,X41)
| ~ between_o(X41,X38,X39,X40) )
& ( between_c(esk8_4(X38,X39,X40,X41),X38,X39,X40)
| ~ between_o(X41,X38,X39,X40) )
& ( ~ incident_o(esk9_5(X45,X46,X47,X48,X49),X48)
| ~ incident_c(esk9_5(X45,X46,X47,X48,X49),X49)
| ~ between_c(X49,X45,X46,X47)
| between_o(X48,X45,X46,X47) )
& ( incident_o(esk9_5(X45,X46,X47,X48,X49),X48)
| incident_c(esk9_5(X45,X46,X47,X48,X49),X49)
| ~ between_c(X49,X45,X46,X47)
| between_o(X48,X45,X46,X47) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[o3])])])])])]) ).
cnf(c_0_7,plain,
~ between_c(X1,X2,X3,X2),
inference(er,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( between_c(esk8_4(X1,X2,X3,X4),X1,X2,X3)
| ~ between_o(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X15,X16,X17,X18] :
( ( ordered_by(X15,X18,X17)
| ordered_by(X15,X16,X17)
| ~ between_o(X15,X16,X17,X18) )
& ( ordered_by(X15,X17,X16)
| ordered_by(X15,X16,X17)
| ~ between_o(X15,X16,X17,X18) )
& ( ordered_by(X15,X18,X17)
| ordered_by(X15,X17,X18)
| ~ between_o(X15,X16,X17,X18) )
& ( ordered_by(X15,X17,X16)
| ordered_by(X15,X17,X18)
| ~ between_o(X15,X16,X17,X18) )
& ( ~ ordered_by(X15,X16,X17)
| ~ ordered_by(X15,X17,X18)
| between_o(X15,X16,X17,X18) )
& ( ~ ordered_by(X15,X18,X17)
| ~ ordered_by(X15,X17,X16)
| between_o(X15,X16,X17,X18) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[between_o_defn])])]) ).
fof(c_0_10,negated_conjecture,
~ ! [X9,X3,X5] :
( ordered_by(X9,X3,X5)
=> ~ ordered_by(X9,X5,X3) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[theorem_4_5])]) ).
cnf(c_0_11,plain,
~ between_o(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
( between_o(X1,X4,X3,X2)
| ~ ordered_by(X1,X2,X3)
| ~ ordered_by(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,negated_conjecture,
( ordered_by(esk1_0,esk2_0,esk3_0)
& ordered_by(esk1_0,esk3_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
cnf(c_0_14,plain,
( ~ ordered_by(X1,X2,X3)
| ~ ordered_by(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
ordered_by(esk1_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,negated_conjecture,
ordered_by(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO118+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.15 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 2400
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Oct 3 06:35:14 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 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.RkuZ31in8R/E---3.1_14643.p
% 0.41/0.55 # Version: 3.1pre001
% 0.41/0.55 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.41/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.55 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.41/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.41/0.55 # Starting new_bool_1 with 300s (1) cores
% 0.41/0.55 # Starting sh5l with 300s (1) cores
% 0.41/0.55 # sh5l with pid 14788 completed with status 0
% 0.41/0.55 # Result found by sh5l
% 0.41/0.55 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.41/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.55 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.41/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.41/0.55 # Starting new_bool_1 with 300s (1) cores
% 0.41/0.55 # Starting sh5l with 300s (1) cores
% 0.41/0.55 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.41/0.55 # Search class: FGHSS-FFMF32-SFFFFFNN
% 0.41/0.55 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.41/0.55 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 103s (1) cores
% 0.41/0.55 # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 14793 completed with status 0
% 0.41/0.55 # Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.41/0.55 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.41/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.55 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.41/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.41/0.55 # Starting new_bool_1 with 300s (1) cores
% 0.41/0.55 # Starting sh5l with 300s (1) cores
% 0.41/0.55 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.41/0.55 # Search class: FGHSS-FFMF32-SFFFFFNN
% 0.41/0.55 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.41/0.55 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 103s (1) cores
% 0.41/0.55 # Preprocessing time : 0.002 s
% 0.41/0.55 # Presaturation interreduction done
% 0.41/0.55
% 0.41/0.55 # Proof found!
% 0.41/0.55 # SZS status Theorem
% 0.41/0.55 # SZS output start CNFRefutation
% See solution above
% 0.41/0.55 # Parsed axioms : 28
% 0.41/0.55 # Removed by relevancy pruning/SinE : 2
% 0.41/0.55 # Initial clauses : 78
% 0.41/0.55 # Removed in clause preprocessing : 0
% 0.41/0.55 # Initial clauses in saturation : 78
% 0.41/0.55 # Processed clauses : 257
% 0.41/0.55 # ...of these trivial : 3
% 0.41/0.55 # ...subsumed : 19
% 0.41/0.55 # ...remaining for further processing : 235
% 0.41/0.55 # Other redundant clauses eliminated : 5
% 0.41/0.55 # Clauses deleted for lack of memory : 0
% 0.41/0.55 # Backward-subsumed : 0
% 0.41/0.55 # Backward-rewritten : 0
% 0.41/0.55 # Generated clauses : 429
% 0.41/0.55 # ...of the previous two non-redundant : 392
% 0.41/0.55 # ...aggressively subsumed : 0
% 0.41/0.55 # Contextual simplify-reflections : 1
% 0.41/0.55 # Paramodulations : 424
% 0.41/0.55 # Factorizations : 0
% 0.41/0.55 # NegExts : 0
% 0.41/0.55 # Equation resolutions : 5
% 0.41/0.55 # Total rewrite steps : 24
% 0.41/0.55 # Propositional unsat checks : 0
% 0.41/0.55 # Propositional check models : 0
% 0.41/0.55 # Propositional check unsatisfiable : 0
% 0.41/0.55 # Propositional clauses : 0
% 0.41/0.55 # Propositional clauses after purity: 0
% 0.41/0.55 # Propositional unsat core size : 0
% 0.41/0.55 # Propositional preprocessing time : 0.000
% 0.41/0.55 # Propositional encoding time : 0.000
% 0.41/0.55 # Propositional solver time : 0.000
% 0.41/0.55 # Success case prop preproc time : 0.000
% 0.41/0.55 # Success case prop encoding time : 0.000
% 0.41/0.55 # Success case prop solver time : 0.000
% 0.41/0.55 # Current number of processed clauses : 152
% 0.41/0.55 # Positive orientable unit clauses : 23
% 0.41/0.55 # Positive unorientable unit clauses: 0
% 0.41/0.55 # Negative unit clauses : 8
% 0.41/0.55 # Non-unit-clauses : 121
% 0.41/0.55 # Current number of unprocessed clauses: 287
% 0.41/0.55 # ...number of literals in the above : 848
% 0.41/0.55 # Current number of archived formulas : 0
% 0.41/0.55 # Current number of archived clauses : 78
% 0.41/0.55 # Clause-clause subsumption calls (NU) : 3500
% 0.41/0.55 # Rec. Clause-clause subsumption calls : 2398
% 0.41/0.55 # Non-unit clause-clause subsumptions : 20
% 0.41/0.55 # Unit Clause-clause subsumption calls : 600
% 0.41/0.55 # Rewrite failures with RHS unbound : 0
% 0.41/0.55 # BW rewrite match attempts : 5
% 0.41/0.55 # BW rewrite match successes : 0
% 0.41/0.55 # Condensation attempts : 0
% 0.41/0.55 # Condensation successes : 0
% 0.41/0.55 # Termbank termtop insertions : 11031
% 0.41/0.55
% 0.41/0.55 # -------------------------------------------------
% 0.41/0.55 # User time : 0.022 s
% 0.41/0.55 # System time : 0.007 s
% 0.41/0.55 # Total time : 0.029 s
% 0.41/0.55 # Maximum resident set size: 2032 pages
% 0.41/0.55
% 0.41/0.55 # -------------------------------------------------
% 0.41/0.55 # User time : 0.024 s
% 0.41/0.55 # System time : 0.008 s
% 0.41/0.55 # Total time : 0.033 s
% 0.41/0.55 # Maximum resident set size: 1712 pages
% 0.41/0.55 % E---3.1 exiting
% 0.41/0.55 % E---3.1 exiting
%------------------------------------------------------------------------------