TSTP Solution File: GEO088+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO088+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 17:33:44 EDT 2023
% Result : Theorem 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 36 ( 6 unt; 0 def)
% Number of atoms : 145 ( 0 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 169 ( 60 ~; 83 |; 20 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn; 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(theorem_2_10,conjecture,
! [X1,X8,X3] :
( ( part_of(X8,X1)
& end_point(X3,X1)
& incident_c(X3,X8) )
=> end_point(X3,X8) ),
file('/export/starexec/sandbox/tmp/tmp.KIN3VpDd96/E---3.1_7896.p',theorem_2_10) ).
fof(part_of_defn,axiom,
! [X1,X2] :
( part_of(X2,X1)
<=> ! [X3] :
( incident_c(X3,X2)
=> incident_c(X3,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.KIN3VpDd96/E---3.1_7896.p',part_of_defn) ).
fof(end_point_defn,axiom,
! [X3,X1] :
( end_point(X3,X1)
<=> ( incident_c(X3,X1)
& ! [X2,X4] :
( ( part_of(X2,X1)
& part_of(X4,X1)
& incident_c(X3,X2)
& incident_c(X3,X4) )
=> ( part_of(X2,X4)
| part_of(X4,X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.KIN3VpDd96/E---3.1_7896.p',end_point_defn) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X8,X3] :
( ( part_of(X8,X1)
& end_point(X3,X1)
& incident_c(X3,X8) )
=> end_point(X3,X8) ),
inference(assume_negation,[status(cth)],[theorem_2_10]) ).
fof(c_0_4,plain,
! [X19,X20,X21,X22,X23] :
( ( ~ part_of(X20,X19)
| ~ incident_c(X21,X20)
| incident_c(X21,X19) )
& ( incident_c(esk5_2(X22,X23),X23)
| part_of(X23,X22) )
& ( ~ incident_c(esk5_2(X22,X23),X22)
| part_of(X23,X22) ) ),
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)],[part_of_defn])])])])])]) ).
fof(c_0_5,negated_conjecture,
( part_of(esk2_0,esk1_0)
& end_point(esk3_0,esk1_0)
& incident_c(esk3_0,esk2_0)
& ~ end_point(esk3_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_6,plain,
! [X25,X26,X27,X28,X29,X30] :
( ( incident_c(X25,X26)
| ~ end_point(X25,X26) )
& ( ~ part_of(X27,X26)
| ~ part_of(X28,X26)
| ~ incident_c(X25,X27)
| ~ incident_c(X25,X28)
| part_of(X27,X28)
| part_of(X28,X27)
| ~ end_point(X25,X26) )
& ( part_of(esk6_2(X29,X30),X30)
| ~ incident_c(X29,X30)
| end_point(X29,X30) )
& ( part_of(esk7_2(X29,X30),X30)
| ~ incident_c(X29,X30)
| end_point(X29,X30) )
& ( incident_c(X29,esk6_2(X29,X30))
| ~ incident_c(X29,X30)
| end_point(X29,X30) )
& ( incident_c(X29,esk7_2(X29,X30))
| ~ incident_c(X29,X30)
| end_point(X29,X30) )
& ( ~ part_of(esk6_2(X29,X30),esk7_2(X29,X30))
| ~ incident_c(X29,X30)
| end_point(X29,X30) )
& ( ~ part_of(esk7_2(X29,X30),esk6_2(X29,X30))
| ~ incident_c(X29,X30)
| end_point(X29,X30) ) ),
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)],[end_point_defn])])])])])]) ).
cnf(c_0_7,plain,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
part_of(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( part_of(esk6_2(X1,X2),X2)
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( part_of(X1,X3)
| part_of(X3,X1)
| ~ part_of(X1,X2)
| ~ part_of(X3,X2)
| ~ incident_c(X4,X1)
| ~ incident_c(X4,X3)
| ~ end_point(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
end_point(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( part_of(X2,X1)
| ~ incident_c(esk5_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,negated_conjecture,
( incident_c(X1,esk1_0)
| ~ incident_c(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_14,plain,
( end_point(X1,X2)
| incident_c(X3,X2)
| ~ incident_c(X3,esk6_2(X1,X2))
| ~ incident_c(X1,X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
cnf(c_0_15,plain,
( incident_c(esk5_2(X1,X2),X2)
| part_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,negated_conjecture,
( part_of(X1,X2)
| part_of(X2,X1)
| ~ incident_c(esk3_0,X2)
| ~ incident_c(esk3_0,X1)
| ~ part_of(X2,esk1_0)
| ~ part_of(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,plain,
( incident_c(X1,esk6_2(X1,X2))
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,negated_conjecture,
( part_of(X1,esk1_0)
| ~ incident_c(esk5_2(esk1_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,plain,
( end_point(X1,X2)
| incident_c(esk5_2(X3,esk6_2(X1,X2)),X2)
| part_of(esk6_2(X1,X2),X3)
| ~ incident_c(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( end_point(esk3_0,X1)
| part_of(esk6_2(esk3_0,X1),X2)
| part_of(X2,esk6_2(esk3_0,X1))
| ~ incident_c(esk3_0,X2)
| ~ incident_c(esk3_0,X1)
| ~ part_of(esk6_2(esk3_0,X1),esk1_0)
| ~ part_of(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( end_point(X1,esk2_0)
| part_of(esk6_2(X1,esk2_0),esk1_0)
| ~ incident_c(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
incident_c(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_23,negated_conjecture,
~ end_point(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_24,negated_conjecture,
( part_of(X1,esk6_2(esk3_0,esk2_0))
| part_of(esk6_2(esk3_0,esk2_0),X1)
| ~ incident_c(esk3_0,X1)
| ~ part_of(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_25,plain,
( incident_c(X1,esk7_2(X1,X2))
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_26,plain,
( part_of(esk7_2(X1,X2),X2)
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_27,plain,
( end_point(X1,X2)
| ~ part_of(esk7_2(X1,X2),esk6_2(X1,X2))
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_28,negated_conjecture,
( end_point(esk3_0,X1)
| part_of(esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,X1))
| part_of(esk7_2(esk3_0,X1),esk6_2(esk3_0,esk2_0))
| ~ incident_c(esk3_0,X1)
| ~ part_of(esk7_2(esk3_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
( end_point(X1,X2)
| incident_c(X3,X2)
| ~ incident_c(X3,esk7_2(X1,X2))
| ~ incident_c(X1,X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_26]) ).
cnf(c_0_30,plain,
( end_point(X1,X2)
| ~ part_of(esk6_2(X1,X2),esk7_2(X1,X2))
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_31,negated_conjecture,
( part_of(esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
| ~ part_of(esk7_2(esk3_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_22])]),c_0_23]) ).
cnf(c_0_32,plain,
( end_point(X1,X2)
| incident_c(esk5_2(X3,esk7_2(X1,X2)),X2)
| part_of(esk7_2(X1,X2),X3)
| ~ incident_c(X1,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_15]) ).
cnf(c_0_33,negated_conjecture,
~ part_of(esk7_2(esk3_0,esk2_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_22])]),c_0_23]) ).
cnf(c_0_34,negated_conjecture,
( end_point(X1,esk2_0)
| part_of(esk7_2(X1,esk2_0),esk1_0)
| ~ incident_c(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_32]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_22])]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO088+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 2400
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Oct 3 07:11:59 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order model finding
% 0.19/0.46 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.KIN3VpDd96/E---3.1_7896.p
% 0.19/0.50 # Version: 3.1pre001
% 0.19/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.50 # Starting sh5l with 300s (1) cores
% 0.19/0.50 # new_bool_1 with pid 8045 completed with status 0
% 0.19/0.50 # Result found by new_bool_1
% 0.19/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.50 # Search class: FGHSF-FFMS22-SFFFFFNN
% 0.19/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.19/0.50 # SAT001_MinMin_p005000_rr_RG with pid 8048 completed with status 0
% 0.19/0.50 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.19/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.50 # Search class: FGHSF-FFMS22-SFFFFFNN
% 0.19/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.19/0.50 # Preprocessing time : 0.001 s
% 0.19/0.50 # Presaturation interreduction done
% 0.19/0.50
% 0.19/0.50 # Proof found!
% 0.19/0.50 # SZS status Theorem
% 0.19/0.50 # SZS output start CNFRefutation
% See solution above
% 0.19/0.50 # Parsed axioms : 17
% 0.19/0.50 # Removed by relevancy pruning/SinE : 10
% 0.19/0.50 # Initial clauses : 21
% 0.19/0.50 # Removed in clause preprocessing : 0
% 0.19/0.50 # Initial clauses in saturation : 21
% 0.19/0.50 # Processed clauses : 139
% 0.19/0.50 # ...of these trivial : 0
% 0.19/0.50 # ...subsumed : 33
% 0.19/0.50 # ...remaining for further processing : 106
% 0.19/0.50 # Other redundant clauses eliminated : 2
% 0.19/0.50 # Clauses deleted for lack of memory : 0
% 0.19/0.50 # Backward-subsumed : 1
% 0.19/0.50 # Backward-rewritten : 0
% 0.19/0.50 # Generated clauses : 331
% 0.19/0.50 # ...of the previous two non-redundant : 278
% 0.19/0.50 # ...aggressively subsumed : 0
% 0.19/0.50 # Contextual simplify-reflections : 1
% 0.19/0.50 # Paramodulations : 317
% 0.19/0.50 # Factorizations : 12
% 0.19/0.50 # NegExts : 0
% 0.19/0.50 # Equation resolutions : 2
% 0.19/0.50 # Total rewrite steps : 76
% 0.19/0.50 # Propositional unsat checks : 0
% 0.19/0.50 # Propositional check models : 0
% 0.19/0.50 # Propositional check unsatisfiable : 0
% 0.19/0.50 # Propositional clauses : 0
% 0.19/0.50 # Propositional clauses after purity: 0
% 0.19/0.50 # Propositional unsat core size : 0
% 0.19/0.50 # Propositional preprocessing time : 0.000
% 0.19/0.50 # Propositional encoding time : 0.000
% 0.19/0.50 # Propositional solver time : 0.000
% 0.19/0.50 # Success case prop preproc time : 0.000
% 0.19/0.50 # Success case prop encoding time : 0.000
% 0.19/0.50 # Success case prop solver time : 0.000
% 0.19/0.50 # Current number of processed clauses : 84
% 0.19/0.50 # Positive orientable unit clauses : 5
% 0.19/0.50 # Positive unorientable unit clauses: 0
% 0.19/0.50 # Negative unit clauses : 2
% 0.19/0.50 # Non-unit-clauses : 77
% 0.19/0.50 # Current number of unprocessed clauses: 176
% 0.19/0.50 # ...number of literals in the above : 1056
% 0.19/0.50 # Current number of archived formulas : 0
% 0.19/0.50 # Current number of archived clauses : 22
% 0.19/0.50 # Clause-clause subsumption calls (NU) : 1021
% 0.19/0.50 # Rec. Clause-clause subsumption calls : 315
% 0.19/0.50 # Non-unit clause-clause subsumptions : 33
% 0.19/0.50 # Unit Clause-clause subsumption calls : 8
% 0.19/0.50 # Rewrite failures with RHS unbound : 0
% 0.19/0.50 # BW rewrite match attempts : 5
% 0.19/0.50 # BW rewrite match successes : 0
% 0.19/0.50 # Condensation attempts : 0
% 0.19/0.50 # Condensation successes : 0
% 0.19/0.50 # Termbank termtop insertions : 10626
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.018 s
% 0.19/0.50 # System time : 0.003 s
% 0.19/0.50 # Total time : 0.021 s
% 0.19/0.50 # Maximum resident set size: 1848 pages
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.018 s
% 0.19/0.50 # System time : 0.007 s
% 0.19/0.50 # Total time : 0.025 s
% 0.19/0.50 # Maximum resident set size: 1696 pages
% 0.19/0.50 % E---3.1 exiting
%------------------------------------------------------------------------------