TSTP Solution File: GEO081+1 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO081+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n024.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 17:33:42 EDT 2023
% Result : Theorem 0.16s 0.47s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 4 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 35 ( 11 ~; 14 |; 6 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn; 14 !; 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/sandbox2/tmp/tmp.ipSjjXMaPT/E---3.1_7494.p',part_of_defn) ).
fof(part_of_transitivity,conjecture,
! [X2,X4,X6] :
( ( part_of(X2,X4)
& part_of(X4,X6) )
=> part_of(X2,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.ipSjjXMaPT/E---3.1_7494.p',part_of_transitivity) ).
fof(c_0_2,plain,
! [X11,X12,X13,X14,X15] :
( ( ~ part_of(X12,X11)
| ~ incident_c(X13,X12)
| incident_c(X13,X11) )
& ( incident_c(esk4_2(X14,X15),X15)
| part_of(X15,X14) )
& ( ~ incident_c(esk4_2(X14,X15),X14)
| part_of(X15,X14) ) ),
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_3,negated_conjecture,
~ ! [X2,X4,X6] :
( ( part_of(X2,X4)
& part_of(X4,X6) )
=> part_of(X2,X6) ),
inference(assume_negation,[status(cth)],[part_of_transitivity]) ).
cnf(c_0_4,plain,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,plain,
( incident_c(esk4_2(X1,X2),X2)
| part_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_6,negated_conjecture,
( part_of(esk1_0,esk2_0)
& part_of(esk2_0,esk3_0)
& ~ part_of(esk1_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_7,plain,
( incident_c(esk4_2(X1,X2),X3)
| part_of(X2,X1)
| ~ part_of(X2,X3) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,negated_conjecture,
part_of(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
( incident_c(esk4_2(X1,esk1_0),esk2_0)
| part_of(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,negated_conjecture,
( incident_c(esk4_2(X1,esk1_0),X2)
| part_of(esk1_0,X1)
| ~ part_of(esk2_0,X2) ),
inference(spm,[status(thm)],[c_0_4,c_0_9]) ).
cnf(c_0_11,negated_conjecture,
part_of(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( part_of(X2,X1)
| ~ incident_c(esk4_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,negated_conjecture,
( incident_c(esk4_2(X1,esk1_0),esk3_0)
| part_of(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
~ part_of(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO081+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n024.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 2400
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Oct 3 06:28:56 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.16/0.45 Running first-order model finding
% 0.16/0.45 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.ipSjjXMaPT/E---3.1_7494.p
% 0.16/0.47 # Version: 3.1pre001
% 0.16/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.47 # Starting sh5l with 300s (1) cores
% 0.16/0.47 # new_bool_1 with pid 7575 completed with status 0
% 0.16/0.47 # Result found by new_bool_1
% 0.16/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.47 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.47 # Search class: FGHSF-FFMF32-SFFFFFNN
% 0.16/0.47 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.16/0.47 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 7577 completed with status 0
% 0.16/0.47 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.47 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.47 # Search class: FGHSF-FFMF32-SFFFFFNN
% 0.16/0.47 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.16/0.47 # Preprocessing time : 0.001 s
% 0.16/0.47 # Presaturation interreduction done
% 0.16/0.47
% 0.16/0.47 # Proof found!
% 0.16/0.47 # SZS status Theorem
% 0.16/0.47 # SZS output start CNFRefutation
% See solution above
% 0.16/0.47 # Parsed axioms : 17
% 0.16/0.47 # Removed by relevancy pruning/SinE : 6
% 0.16/0.47 # Initial clauses : 36
% 0.16/0.47 # Removed in clause preprocessing : 0
% 0.16/0.47 # Initial clauses in saturation : 36
% 0.16/0.47 # Processed clauses : 73
% 0.16/0.47 # ...of these trivial : 0
% 0.16/0.47 # ...subsumed : 2
% 0.16/0.47 # ...remaining for further processing : 71
% 0.16/0.47 # Other redundant clauses eliminated : 3
% 0.16/0.47 # Clauses deleted for lack of memory : 0
% 0.16/0.47 # Backward-subsumed : 0
% 0.16/0.47 # Backward-rewritten : 0
% 0.16/0.47 # Generated clauses : 47
% 0.16/0.47 # ...of the previous two non-redundant : 42
% 0.16/0.47 # ...aggressively subsumed : 0
% 0.16/0.47 # Contextual simplify-reflections : 0
% 0.16/0.47 # Paramodulations : 44
% 0.16/0.47 # Factorizations : 0
% 0.16/0.47 # NegExts : 0
% 0.16/0.47 # Equation resolutions : 3
% 0.16/0.47 # Total rewrite steps : 2
% 0.16/0.47 # Propositional unsat checks : 0
% 0.16/0.47 # Propositional check models : 0
% 0.16/0.47 # Propositional check unsatisfiable : 0
% 0.16/0.47 # Propositional clauses : 0
% 0.16/0.47 # Propositional clauses after purity: 0
% 0.16/0.47 # Propositional unsat core size : 0
% 0.16/0.47 # Propositional preprocessing time : 0.000
% 0.16/0.47 # Propositional encoding time : 0.000
% 0.16/0.47 # Propositional solver time : 0.000
% 0.16/0.47 # Success case prop preproc time : 0.000
% 0.16/0.47 # Success case prop encoding time : 0.000
% 0.16/0.47 # Success case prop solver time : 0.000
% 0.16/0.47 # Current number of processed clauses : 32
% 0.16/0.47 # Positive orientable unit clauses : 3
% 0.16/0.47 # Positive unorientable unit clauses: 0
% 0.16/0.47 # Negative unit clauses : 1
% 0.16/0.47 # Non-unit-clauses : 28
% 0.16/0.47 # Current number of unprocessed clauses: 37
% 0.16/0.47 # ...number of literals in the above : 124
% 0.16/0.47 # Current number of archived formulas : 0
% 0.16/0.47 # Current number of archived clauses : 36
% 0.16/0.47 # Clause-clause subsumption calls (NU) : 232
% 0.16/0.47 # Rec. Clause-clause subsumption calls : 136
% 0.16/0.47 # Non-unit clause-clause subsumptions : 2
% 0.16/0.47 # Unit Clause-clause subsumption calls : 3
% 0.16/0.47 # Rewrite failures with RHS unbound : 0
% 0.16/0.47 # BW rewrite match attempts : 5
% 0.16/0.47 # BW rewrite match successes : 0
% 0.16/0.47 # Condensation attempts : 0
% 0.16/0.47 # Condensation successes : 0
% 0.16/0.47 # Termbank termtop insertions : 3332
% 0.16/0.47
% 0.16/0.47 # -------------------------------------------------
% 0.16/0.47 # User time : 0.008 s
% 0.16/0.47 # System time : 0.002 s
% 0.16/0.47 # Total time : 0.010 s
% 0.16/0.47 # Maximum resident set size: 1848 pages
% 0.16/0.47
% 0.16/0.47 # -------------------------------------------------
% 0.16/0.47 # User time : 0.010 s
% 0.16/0.47 # System time : 0.003 s
% 0.16/0.47 # Total time : 0.013 s
% 0.16/0.47 # Maximum resident set size: 1692 pages
% 0.16/0.47 % E---3.1 exiting
%------------------------------------------------------------------------------