TSTP Solution File: GEO082+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO082+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.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 17:31:24 EDT 2023
% Result : Theorem 0.16s 0.54s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 52 ( 11 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 48 ( 15 ~; 20 |; 7 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn; 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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.hIbyrHrkRB/E---3.1_18316.p',part_of_defn) ).
fof(c9,axiom,
! [X1,X2] :
( ! [X3] :
( incident_c(X3,X1)
<=> incident_c(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/tmp/tmp.hIbyrHrkRB/E---3.1_18316.p',c9) ).
fof(part_of_antisymmetry,conjecture,
! [X2,X4] :
( ( part_of(X2,X4)
& part_of(X4,X2) )
=> X2 = X4 ),
file('/export/starexec/sandbox/tmp/tmp.hIbyrHrkRB/E---3.1_18316.p',part_of_antisymmetry) ).
fof(c_0_3,plain,
! [X10,X11,X12,X13,X14] :
( ( ~ part_of(X11,X10)
| ~ incident_c(X12,X11)
| incident_c(X12,X10) )
& ( incident_c(esk3_2(X13,X14),X14)
| part_of(X14,X13) )
& ( ~ incident_c(esk3_2(X13,X14),X13)
| part_of(X14,X13) ) ),
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_4,plain,
! [X46,X47] :
( ( ~ incident_c(esk8_2(X46,X47),X46)
| ~ incident_c(esk8_2(X46,X47),X47)
| X46 = X47 )
& ( incident_c(esk8_2(X46,X47),X46)
| incident_c(esk8_2(X46,X47),X47)
| X46 = X47 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c9])])])]) ).
fof(c_0_5,negated_conjecture,
~ ! [X2,X4] :
( ( part_of(X2,X4)
& part_of(X4,X2) )
=> X2 = X4 ),
inference(assume_negation,[status(cth)],[part_of_antisymmetry]) ).
cnf(c_0_6,plain,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
( incident_c(esk8_2(X1,X2),X1)
| incident_c(esk8_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_8,negated_conjecture,
( part_of(esk1_0,esk2_0)
& part_of(esk2_0,esk1_0)
& esk1_0 != esk2_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_9,plain,
( X1 = X2
| incident_c(esk8_2(X1,X2),X2)
| incident_c(esk8_2(X1,X2),X3)
| ~ part_of(X1,X3) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
part_of(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( esk2_0 = X1
| incident_c(esk8_2(esk2_0,X1),esk1_0)
| incident_c(esk8_2(esk2_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( X1 = X2
| ~ incident_c(esk8_2(X1,X2),X1)
| ~ incident_c(esk8_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,negated_conjecture,
incident_c(esk8_2(esk2_0,esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_11]),c_0_12]) ).
cnf(c_0_15,negated_conjecture,
~ incident_c(esk8_2(esk2_0,esk1_0),esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( incident_c(esk8_2(esk2_0,esk1_0),X1)
| ~ part_of(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
part_of(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO082+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Oct 3 06:21:00 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.44 Running first-order theorem proving
% 0.16/0.44 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.hIbyrHrkRB/E---3.1_18316.p
% 0.16/0.54 # Version: 3.1pre001
% 0.16/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.54 # Starting sh5l with 300s (1) cores
% 0.16/0.54 # new_bool_1 with pid 18396 completed with status 0
% 0.16/0.54 # Result found by new_bool_1
% 0.16/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.54 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.54 # Search class: FGHSF-FFMF32-SFFFFFNN
% 0.16/0.54 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.16/0.54 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 18398 completed with status 0
% 0.16/0.54 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.54 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.54 # Search class: FGHSF-FFMF32-SFFFFFNN
% 0.16/0.54 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.16/0.54 # Preprocessing time : 0.001 s
% 0.16/0.54 # Presaturation interreduction done
% 0.16/0.54
% 0.16/0.54 # Proof found!
% 0.16/0.54 # SZS status Theorem
% 0.16/0.54 # SZS output start CNFRefutation
% See solution above
% 0.16/0.54 # Parsed axioms : 17
% 0.16/0.54 # Removed by relevancy pruning/SinE : 6
% 0.16/0.54 # Initial clauses : 36
% 0.16/0.54 # Removed in clause preprocessing : 0
% 0.16/0.54 # Initial clauses in saturation : 36
% 0.16/0.54 # Processed clauses : 656
% 0.16/0.54 # ...of these trivial : 1
% 0.16/0.54 # ...subsumed : 178
% 0.16/0.54 # ...remaining for further processing : 477
% 0.16/0.54 # Other redundant clauses eliminated : 3
% 0.16/0.54 # Clauses deleted for lack of memory : 0
% 0.16/0.54 # Backward-subsumed : 8
% 0.16/0.54 # Backward-rewritten : 22
% 0.16/0.54 # Generated clauses : 4856
% 0.16/0.54 # ...of the previous two non-redundant : 4781
% 0.16/0.54 # ...aggressively subsumed : 0
% 0.16/0.54 # Contextual simplify-reflections : 0
% 0.16/0.54 # Paramodulations : 4835
% 0.16/0.54 # Factorizations : 18
% 0.16/0.54 # NegExts : 0
% 0.16/0.54 # Equation resolutions : 3
% 0.16/0.54 # Total rewrite steps : 83
% 0.16/0.54 # Propositional unsat checks : 0
% 0.16/0.54 # Propositional check models : 0
% 0.16/0.54 # Propositional check unsatisfiable : 0
% 0.16/0.54 # Propositional clauses : 0
% 0.16/0.54 # Propositional clauses after purity: 0
% 0.16/0.54 # Propositional unsat core size : 0
% 0.16/0.54 # Propositional preprocessing time : 0.000
% 0.16/0.54 # Propositional encoding time : 0.000
% 0.16/0.54 # Propositional solver time : 0.000
% 0.16/0.54 # Success case prop preproc time : 0.000
% 0.16/0.54 # Success case prop encoding time : 0.000
% 0.16/0.54 # Success case prop solver time : 0.000
% 0.16/0.54 # Current number of processed clauses : 408
% 0.16/0.54 # Positive orientable unit clauses : 87
% 0.16/0.54 # Positive unorientable unit clauses: 0
% 0.16/0.54 # Negative unit clauses : 2
% 0.16/0.54 # Non-unit-clauses : 319
% 0.16/0.54 # Current number of unprocessed clauses: 4139
% 0.16/0.54 # ...number of literals in the above : 14034
% 0.16/0.54 # Current number of archived formulas : 0
% 0.16/0.54 # Current number of archived clauses : 66
% 0.16/0.54 # Clause-clause subsumption calls (NU) : 11796
% 0.16/0.54 # Rec. Clause-clause subsumption calls : 8407
% 0.16/0.54 # Non-unit clause-clause subsumptions : 186
% 0.16/0.54 # Unit Clause-clause subsumption calls : 258
% 0.16/0.54 # Rewrite failures with RHS unbound : 0
% 0.16/0.54 # BW rewrite match attempts : 878
% 0.16/0.54 # BW rewrite match successes : 22
% 0.16/0.54 # Condensation attempts : 0
% 0.16/0.54 # Condensation successes : 0
% 0.16/0.54 # Termbank termtop insertions : 93067
% 0.16/0.54
% 0.16/0.54 # -------------------------------------------------
% 0.16/0.54 # User time : 0.084 s
% 0.16/0.54 # System time : 0.003 s
% 0.16/0.54 # Total time : 0.087 s
% 0.16/0.54 # Maximum resident set size: 1852 pages
% 0.16/0.54
% 0.16/0.54 # -------------------------------------------------
% 0.16/0.54 # User time : 0.085 s
% 0.16/0.54 # System time : 0.005 s
% 0.16/0.54 # Total time : 0.091 s
% 0.16/0.54 # Maximum resident set size: 1696 pages
% 0.16/0.54 % E---3.1 exiting
% 0.16/0.54 % E---3.1 exiting
%------------------------------------------------------------------------------