TSTP Solution File: GEO089+1 by E-SAT---3.2.0
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%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : GEO089+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% Computer : n017.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 Jun 24 06:09:55 EDT 2024
% Result : Theorem 0.48s 0.53s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 48 ( 15 unt; 0 def)
% Number of atoms : 147 ( 0 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 155 ( 56 ~; 70 |; 21 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn 28 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(inner_point_defn,axiom,
! [X3,X1] :
( inner_point(X3,X1)
<=> ( incident_c(X3,X1)
& ~ end_point(X3,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.Wf4TceyjlQ/E---3.1_18380.p',inner_point_defn) ).
fof(corollary_2_11,conjecture,
! [X1,X3] :
( ? [X8] :
( part_of(X8,X1)
& inner_point(X3,X8) )
=> inner_point(X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.Wf4TceyjlQ/E---3.1_18380.p',corollary_2_11) ).
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.Wf4TceyjlQ/E---3.1_18380.p',end_point_defn) ).
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.Wf4TceyjlQ/E---3.1_18380.p',part_of_defn) ).
fof(c_0_4,plain,
! [X3,X1] :
( inner_point(X3,X1)
<=> ( incident_c(X3,X1)
& ~ end_point(X3,X1) ) ),
inference(fof_simplification,[status(thm)],[inner_point_defn]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1,X3] :
( ? [X8] :
( part_of(X8,X1)
& inner_point(X3,X8) )
=> inner_point(X3,X1) ),
inference(assume_negation,[status(cth)],[corollary_2_11]) ).
fof(c_0_6,plain,
! [X12,X13] :
( ( incident_c(X12,X13)
| ~ inner_point(X12,X13) )
& ( ~ end_point(X12,X13)
| ~ inner_point(X12,X13) )
& ( ~ incident_c(X12,X13)
| end_point(X12,X13)
| inner_point(X12,X13) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_7,negated_conjecture,
( part_of(esk3_0,esk1_0)
& inner_point(esk2_0,esk3_0)
& ~ inner_point(esk2_0,esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
fof(c_0_8,plain,
! [X26,X27,X28,X29,X30,X31] :
( ( incident_c(X26,X27)
| ~ end_point(X26,X27) )
& ( ~ part_of(X28,X27)
| ~ part_of(X29,X27)
| ~ incident_c(X26,X28)
| ~ incident_c(X26,X29)
| part_of(X28,X29)
| part_of(X29,X28)
| ~ end_point(X26,X27) )
& ( part_of(esk8_2(X30,X31),X31)
| ~ incident_c(X30,X31)
| end_point(X30,X31) )
& ( part_of(esk9_2(X30,X31),X31)
| ~ incident_c(X30,X31)
| end_point(X30,X31) )
& ( incident_c(X30,esk8_2(X30,X31))
| ~ incident_c(X30,X31)
| end_point(X30,X31) )
& ( incident_c(X30,esk9_2(X30,X31))
| ~ incident_c(X30,X31)
| end_point(X30,X31) )
& ( ~ part_of(esk8_2(X30,X31),esk9_2(X30,X31))
| ~ incident_c(X30,X31)
| end_point(X30,X31) )
& ( ~ part_of(esk9_2(X30,X31),esk8_2(X30,X31))
| ~ incident_c(X30,X31)
| end_point(X30,X31) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_9,plain,
( incident_c(X1,X2)
| ~ inner_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
inner_point(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( ~ end_point(X1,X2)
| ~ inner_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_12,plain,
! [X20,X21,X22,X23,X24] :
( ( ~ part_of(X21,X20)
| ~ incident_c(X22,X21)
| incident_c(X22,X20) )
& ( incident_c(esk7_2(X23,X24),X24)
| part_of(X24,X23) )
& ( ~ incident_c(esk7_2(X23,X24),X23)
| part_of(X24,X23) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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])])])])])])]) ).
cnf(c_0_13,plain,
( part_of(esk9_2(X1,X2),X2)
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
incident_c(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
~ end_point(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_16,plain,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
part_of(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,negated_conjecture,
part_of(esk9_2(esk2_0,esk3_0),esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_19,plain,
( part_of(esk8_2(X1,X2),X2)
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,negated_conjecture,
( incident_c(X1,esk1_0)
| ~ incident_c(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( incident_c(X1,esk3_0)
| ~ incident_c(X1,esk9_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_18]) ).
cnf(c_0_22,plain,
( incident_c(esk7_2(X1,X2),X2)
| part_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_23,negated_conjecture,
part_of(esk8_2(esk2_0,esk3_0),esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_14]),c_0_15]) ).
cnf(c_0_24,plain,
( end_point(X1,X2)
| inner_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_25,negated_conjecture,
incident_c(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_20,c_0_14]) ).
cnf(c_0_26,negated_conjecture,
~ inner_point(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27,negated_conjecture,
( incident_c(esk7_2(X1,esk9_2(esk2_0,esk3_0)),esk3_0)
| part_of(esk9_2(esk2_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,negated_conjecture,
( incident_c(X1,esk3_0)
| ~ incident_c(X1,esk8_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_23]) ).
cnf(c_0_29,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_8]) ).
cnf(c_0_30,negated_conjecture,
end_point(esk2_0,esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_31,plain,
( incident_c(X1,esk9_2(X1,X2))
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_32,plain,
( part_of(X2,X1)
| ~ incident_c(esk7_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_33,negated_conjecture,
( incident_c(esk7_2(X1,esk9_2(esk2_0,esk3_0)),esk1_0)
| part_of(esk9_2(esk2_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_27]) ).
cnf(c_0_34,negated_conjecture,
( incident_c(esk7_2(X1,esk8_2(esk2_0,esk3_0)),esk3_0)
| part_of(esk8_2(esk2_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_22]) ).
cnf(c_0_35,negated_conjecture,
( part_of(X1,X2)
| part_of(X2,X1)
| ~ incident_c(esk2_0,X2)
| ~ incident_c(esk2_0,X1)
| ~ part_of(X2,esk1_0)
| ~ part_of(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,negated_conjecture,
incident_c(esk2_0,esk9_2(esk2_0,esk3_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_14]),c_0_15]) ).
cnf(c_0_37,negated_conjecture,
part_of(esk9_2(esk2_0,esk3_0),esk1_0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,plain,
( incident_c(X1,esk8_2(X1,X2))
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_39,negated_conjecture,
( incident_c(esk7_2(X1,esk8_2(esk2_0,esk3_0)),esk1_0)
| part_of(esk8_2(esk2_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_34]) ).
cnf(c_0_40,negated_conjecture,
( part_of(esk9_2(esk2_0,esk3_0),X1)
| part_of(X1,esk9_2(esk2_0,esk3_0))
| ~ incident_c(esk2_0,X1)
| ~ part_of(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_41,negated_conjecture,
incident_c(esk2_0,esk8_2(esk2_0,esk3_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_14]),c_0_15]) ).
cnf(c_0_42,negated_conjecture,
part_of(esk8_2(esk2_0,esk3_0),esk1_0),
inference(spm,[status(thm)],[c_0_32,c_0_39]) ).
cnf(c_0_43,plain,
( end_point(X1,X2)
| ~ part_of(esk9_2(X1,X2),esk8_2(X1,X2))
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_44,negated_conjecture,
( part_of(esk8_2(esk2_0,esk3_0),esk9_2(esk2_0,esk3_0))
| part_of(esk9_2(esk2_0,esk3_0),esk8_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).
cnf(c_0_45,plain,
( end_point(X1,X2)
| ~ part_of(esk8_2(X1,X2),esk9_2(X1,X2))
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_46,negated_conjecture,
part_of(esk8_2(esk2_0,esk3_0),esk9_2(esk2_0,esk3_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_14])]),c_0_15]) ).
cnf(c_0_47,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_14])]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO089+1 : TPTP v8.2.0. Released v2.4.0.
% 0.08/0.12 % Command : run_E %s %d SAT
% 0.12/0.34 % Computer : n017.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 : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 21 06:49:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.49 Running first-order model finding
% 0.20/0.49 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.Wf4TceyjlQ/E---3.1_18380.p
% 0.48/0.53 # Version: 3.2.0
% 0.48/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.48/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.48/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.48/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.48/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.48/0.53 # Starting sh5l with 300s (1) cores
% 0.48/0.53 # sh5l with pid 18462 completed with status 0
% 0.48/0.53 # Result found by sh5l
% 0.48/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.48/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.48/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.48/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.48/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.48/0.53 # Starting sh5l with 300s (1) cores
% 0.48/0.53 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.48/0.53 # Search class: FGHSF-FFMF31-SFFFFFNN
% 0.48/0.53 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.48/0.53 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 152s (1) cores
% 0.48/0.53 # G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with pid 18465 completed with status 0
% 0.48/0.53 # Result found by G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U
% 0.48/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.48/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.48/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.48/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.48/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.48/0.53 # Starting sh5l with 300s (1) cores
% 0.48/0.53 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.48/0.53 # Search class: FGHSF-FFMF31-SFFFFFNN
% 0.48/0.53 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.48/0.53 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 152s (1) cores
% 0.48/0.53 # Preprocessing time : 0.002 s
% 0.48/0.53 # Presaturation interreduction done
% 0.48/0.53
% 0.48/0.53 # Proof found!
% 0.48/0.53 # SZS status Theorem
% 0.48/0.53 # SZS output start CNFRefutation
% See solution above
% 0.48/0.53 # Parsed axioms : 17
% 0.48/0.53 # Removed by relevancy pruning/SinE : 0
% 0.48/0.53 # Initial clauses : 46
% 0.48/0.53 # Removed in clause preprocessing : 0
% 0.48/0.53 # Initial clauses in saturation : 46
% 0.48/0.53 # Processed clauses : 238
% 0.48/0.53 # ...of these trivial : 4
% 0.48/0.53 # ...subsumed : 18
% 0.48/0.53 # ...remaining for further processing : 216
% 0.48/0.53 # Other redundant clauses eliminated : 4
% 0.48/0.53 # Clauses deleted for lack of memory : 0
% 0.48/0.53 # Backward-subsumed : 0
% 0.48/0.53 # Backward-rewritten : 1
% 0.48/0.53 # Generated clauses : 792
% 0.48/0.53 # ...of the previous two non-redundant : 731
% 0.48/0.53 # ...aggressively subsumed : 0
% 0.48/0.53 # Contextual simplify-reflections : 1
% 0.48/0.53 # Paramodulations : 775
% 0.48/0.53 # Factorizations : 9
% 0.48/0.53 # NegExts : 0
% 0.48/0.53 # Equation resolutions : 8
% 0.48/0.53 # Disequality decompositions : 0
% 0.48/0.53 # Total rewrite steps : 52
% 0.48/0.53 # ...of those cached : 29
% 0.48/0.53 # Propositional unsat checks : 0
% 0.48/0.53 # Propositional check models : 0
% 0.48/0.53 # Propositional check unsatisfiable : 0
% 0.48/0.53 # Propositional clauses : 0
% 0.48/0.53 # Propositional clauses after purity: 0
% 0.48/0.53 # Propositional unsat core size : 0
% 0.48/0.53 # Propositional preprocessing time : 0.000
% 0.48/0.53 # Propositional encoding time : 0.000
% 0.48/0.53 # Propositional solver time : 0.000
% 0.48/0.53 # Success case prop preproc time : 0.000
% 0.48/0.53 # Success case prop encoding time : 0.000
% 0.48/0.53 # Success case prop solver time : 0.000
% 0.48/0.53 # Current number of processed clauses : 169
% 0.48/0.53 # Positive orientable unit clauses : 29
% 0.48/0.53 # Positive unorientable unit clauses: 0
% 0.48/0.53 # Negative unit clauses : 4
% 0.48/0.53 # Non-unit-clauses : 136
% 0.48/0.53 # Current number of unprocessed clauses: 583
% 0.48/0.53 # ...number of literals in the above : 2077
% 0.48/0.53 # Current number of archived formulas : 0
% 0.48/0.53 # Current number of archived clauses : 47
% 0.48/0.53 # Clause-clause subsumption calls (NU) : 4095
% 0.48/0.53 # Rec. Clause-clause subsumption calls : 2083
% 0.48/0.53 # Non-unit clause-clause subsumptions : 17
% 0.48/0.53 # Unit Clause-clause subsumption calls : 583
% 0.48/0.53 # Rewrite failures with RHS unbound : 0
% 0.48/0.53 # BW rewrite match attempts : 23
% 0.48/0.53 # BW rewrite match successes : 1
% 0.48/0.53 # Condensation attempts : 0
% 0.48/0.53 # Condensation successes : 0
% 0.48/0.53 # Termbank termtop insertions : 16068
% 0.48/0.53 # Search garbage collected termcells : 998
% 0.48/0.53
% 0.48/0.53 # -------------------------------------------------
% 0.48/0.53 # User time : 0.028 s
% 0.48/0.53 # System time : 0.004 s
% 0.48/0.53 # Total time : 0.032 s
% 0.48/0.53 # Maximum resident set size: 1872 pages
% 0.48/0.53
% 0.48/0.53 # -------------------------------------------------
% 0.48/0.53 # User time : 0.029 s
% 0.48/0.53 # System time : 0.007 s
% 0.48/0.53 # Total time : 0.036 s
% 0.48/0.53 # Maximum resident set size: 1700 pages
% 0.48/0.53 % E---3.1 exiting
% 0.48/0.53 % E exiting
%------------------------------------------------------------------------------