TSTP Solution File: GEO087+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GEO087+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 07:41:34 EDT 2024
% Result : Theorem 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 9 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 25 ( 3 avg)
% Number of connectives : 102 ( 41 ~; 36 |; 17 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 51 ( 1 sgn 31 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(inner_point_defn,axiom,
! [X3,X1] :
( inner_point(X3,X1)
<=> ( incident_c(X3,X1)
& ~ end_point(X3,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.axio2yNfrd/E---3.1_25707.p',inner_point_defn) ).
fof(corollary_2_9,conjecture,
! [X2,X4] :
( part_of(X2,X4)
=> ~ ? [X3] : meet(X3,X2,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.axio2yNfrd/E---3.1_25707.p',corollary_2_9) ).
fof(c3,axiom,
! [X1] :
? [X3] : inner_point(X3,X1),
file('/export/starexec/sandbox2/tmp/tmp.axio2yNfrd/E---3.1_25707.p',c3) ).
fof(meet_defn,axiom,
! [X3,X1,X2] :
( meet(X3,X1,X2)
<=> ( incident_c(X3,X1)
& incident_c(X3,X2)
& ! [X5] :
( ( incident_c(X5,X1)
& incident_c(X5,X2) )
=> ( end_point(X5,X1)
& end_point(X5,X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.axio2yNfrd/E---3.1_25707.p',meet_defn) ).
fof(part_of_defn,axiom,
! [X1,X2] :
( part_of(X2,X1)
<=> ! [X3] :
( incident_c(X3,X2)
=> incident_c(X3,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.axio2yNfrd/E---3.1_25707.p',part_of_defn) ).
fof(c_0_5,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_6,negated_conjecture,
~ ! [X2,X4] :
( part_of(X2,X4)
=> ~ ? [X3] : meet(X3,X2,X4) ),
inference(assume_negation,[status(cth)],[corollary_2_9]) ).
fof(c_0_7,plain,
! [X65,X66] :
( ( incident_c(X65,X66)
| ~ inner_point(X65,X66) )
& ( ~ end_point(X65,X66)
| ~ inner_point(X65,X66) )
& ( ~ incident_c(X65,X66)
| end_point(X65,X66)
| inner_point(X65,X66) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
fof(c_0_8,plain,
! [X67] : inner_point(esk14_1(X67),X67),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c3])]) ).
fof(c_0_9,plain,
! [X11,X12,X13,X14,X15,X16,X17] :
( ( incident_c(X11,X12)
| ~ meet(X11,X12,X13) )
& ( incident_c(X11,X13)
| ~ meet(X11,X12,X13) )
& ( end_point(X14,X12)
| ~ incident_c(X14,X12)
| ~ incident_c(X14,X13)
| ~ meet(X11,X12,X13) )
& ( end_point(X14,X13)
| ~ incident_c(X14,X12)
| ~ incident_c(X14,X13)
| ~ meet(X11,X12,X13) )
& ( incident_c(esk4_3(X15,X16,X17),X16)
| ~ incident_c(X15,X16)
| ~ incident_c(X15,X17)
| meet(X15,X16,X17) )
& ( incident_c(esk4_3(X15,X16,X17),X17)
| ~ incident_c(X15,X16)
| ~ incident_c(X15,X17)
| meet(X15,X16,X17) )
& ( ~ end_point(esk4_3(X15,X16,X17),X16)
| ~ end_point(esk4_3(X15,X16,X17),X17)
| ~ incident_c(X15,X16)
| ~ incident_c(X15,X17)
| meet(X15,X16,X17) ) ),
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)],[meet_defn])])])])])])]) ).
fof(c_0_10,negated_conjecture,
( part_of(esk1_0,esk2_0)
& meet(esk3_0,esk1_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
cnf(c_0_11,plain,
( ~ end_point(X1,X2)
| ~ inner_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
inner_point(esk14_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ incident_c(X1,X3)
| ~ meet(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
meet(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( incident_c(X1,X2)
| ~ inner_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_16,plain,
! [X23,X24,X25,X26,X27] :
( ( ~ part_of(X24,X23)
| ~ incident_c(X25,X24)
| incident_c(X25,X23) )
& ( incident_c(esk6_2(X26,X27),X27)
| part_of(X27,X26) )
& ( ~ incident_c(esk6_2(X26,X27),X26)
| part_of(X27,X26) ) ),
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_17,plain,
~ end_point(esk14_1(X1),X1),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,negated_conjecture,
( end_point(X1,esk1_0)
| ~ incident_c(X1,esk2_0)
| ~ incident_c(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,plain,
incident_c(esk14_1(X1),X1),
inference(spm,[status(thm)],[c_0_15,c_0_12]) ).
cnf(c_0_20,plain,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,negated_conjecture,
~ incident_c(esk14_1(esk1_0),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_22,plain,
( incident_c(esk14_1(X1),X2)
| ~ part_of(X1,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
part_of(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO087+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri May 3 18:22:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 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.axio2yNfrd/E---3.1_25707.p
% 0.19/0.48 # Version: 3.1.0
% 0.19/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48 # Starting sh5l with 300s (1) cores
% 0.19/0.48 # new_bool_1 with pid 25788 completed with status 0
% 0.19/0.48 # Result found by new_bool_1
% 0.19/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.48 # Search class: FGHSF-FFMF32-SFFFFFNN
% 0.19/0.48 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.19/0.48 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 25790 completed with status 0
% 0.19/0.48 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.48 # Search class: FGHSF-FFMF32-SFFFFFNN
% 0.19/0.48 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.19/0.48 # Preprocessing time : 0.001 s
% 0.19/0.48 # Presaturation interreduction done
% 0.19/0.48
% 0.19/0.48 # Proof found!
% 0.19/0.48 # SZS status Theorem
% 0.19/0.48 # SZS output start CNFRefutation
% See solution above
% 0.19/0.48 # Parsed axioms : 17
% 0.19/0.48 # Removed by relevancy pruning/SinE : 4
% 0.19/0.48 # Initial clauses : 39
% 0.19/0.48 # Removed in clause preprocessing : 0
% 0.19/0.48 # Initial clauses in saturation : 39
% 0.19/0.48 # Processed clauses : 124
% 0.19/0.48 # ...of these trivial : 0
% 0.19/0.48 # ...subsumed : 5
% 0.19/0.48 # ...remaining for further processing : 119
% 0.19/0.48 # Other redundant clauses eliminated : 3
% 0.19/0.48 # Clauses deleted for lack of memory : 0
% 0.19/0.48 # Backward-subsumed : 0
% 0.19/0.48 # Backward-rewritten : 0
% 0.19/0.48 # Generated clauses : 259
% 0.19/0.48 # ...of the previous two non-redundant : 235
% 0.19/0.48 # ...aggressively subsumed : 0
% 0.19/0.48 # Contextual simplify-reflections : 0
% 0.19/0.48 # Paramodulations : 248
% 0.19/0.48 # Factorizations : 8
% 0.19/0.48 # NegExts : 0
% 0.19/0.48 # Equation resolutions : 3
% 0.19/0.48 # Disequality decompositions : 0
% 0.19/0.48 # Total rewrite steps : 13
% 0.19/0.48 # ...of those cached : 7
% 0.19/0.48 # Propositional unsat checks : 0
% 0.19/0.48 # Propositional check models : 0
% 0.19/0.48 # Propositional check unsatisfiable : 0
% 0.19/0.48 # Propositional clauses : 0
% 0.19/0.48 # Propositional clauses after purity: 0
% 0.19/0.48 # Propositional unsat core size : 0
% 0.19/0.48 # Propositional preprocessing time : 0.000
% 0.19/0.48 # Propositional encoding time : 0.000
% 0.19/0.48 # Propositional solver time : 0.000
% 0.19/0.48 # Success case prop preproc time : 0.000
% 0.19/0.48 # Success case prop encoding time : 0.000
% 0.19/0.48 # Success case prop solver time : 0.000
% 0.19/0.48 # Current number of processed clauses : 77
% 0.19/0.48 # Positive orientable unit clauses : 10
% 0.19/0.48 # Positive unorientable unit clauses: 0
% 0.19/0.48 # Negative unit clauses : 4
% 0.19/0.48 # Non-unit-clauses : 63
% 0.19/0.48 # Current number of unprocessed clauses: 189
% 0.19/0.48 # ...number of literals in the above : 734
% 0.19/0.48 # Current number of archived formulas : 0
% 0.19/0.48 # Current number of archived clauses : 39
% 0.19/0.48 # Clause-clause subsumption calls (NU) : 598
% 0.19/0.48 # Rec. Clause-clause subsumption calls : 343
% 0.19/0.48 # Non-unit clause-clause subsumptions : 5
% 0.19/0.48 # Unit Clause-clause subsumption calls : 29
% 0.19/0.48 # Rewrite failures with RHS unbound : 0
% 0.19/0.48 # BW rewrite match attempts : 3
% 0.19/0.48 # BW rewrite match successes : 0
% 0.19/0.48 # Condensation attempts : 0
% 0.19/0.48 # Condensation successes : 0
% 0.19/0.48 # Termbank termtop insertions : 6704
% 0.19/0.48 # Search garbage collected termcells : 872
% 0.19/0.48
% 0.19/0.48 # -------------------------------------------------
% 0.19/0.48 # User time : 0.011 s
% 0.19/0.48 # System time : 0.002 s
% 0.19/0.48 # Total time : 0.013 s
% 0.19/0.48 # Maximum resident set size: 1848 pages
% 0.19/0.48
% 0.19/0.48 # -------------------------------------------------
% 0.19/0.48 # User time : 0.013 s
% 0.19/0.48 # System time : 0.003 s
% 0.19/0.48 # Total time : 0.016 s
% 0.19/0.48 # Maximum resident set size: 1708 pages
% 0.19/0.48 % E---3.1 exiting
% 0.19/0.49 % E exiting
%------------------------------------------------------------------------------