TSTP Solution File: SET080-7 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SET080-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : 300s
% WCLimit : 300s
% DateTime : Sat May 4 09:17:56 EDT 2024
% Result : Unsatisfiable 0.23s 0.53s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 10 unt; 0 nHn; 7 RR)
% Number of literals : 16 ( 2 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_null_class_in_its_singleton_1,negated_conjecture,
~ member(null_class,singleton(null_class)),
file('/export/starexec/sandbox/tmp/tmp.uV9Z4CSYX2/E---3.1_2818.p',prove_null_class_in_its_singleton_1) ).
cnf(unordered_pair3,axiom,
( member(X1,unordered_pair(X2,X1))
| ~ member(X1,universal_class) ),
file('/export/starexec/sandbox/tmp/tmp.uV9Z4CSYX2/E---3.1_2818.p',unordered_pair3) ).
cnf(singleton_set,axiom,
unordered_pair(X1,X1) = singleton(X1),
file('/export/starexec/sandbox/tmp/tmp.uV9Z4CSYX2/E---3.1_2818.p',singleton_set) ).
cnf(null_class_is_a_set,axiom,
member(null_class,universal_class),
file('/export/starexec/sandbox/tmp/tmp.uV9Z4CSYX2/E---3.1_2818.p',null_class_is_a_set) ).
cnf(c_0_4,negated_conjecture,
~ member(null_class,singleton(null_class)),
inference(fof_simplification,[status(thm)],[prove_null_class_in_its_singleton_1]) ).
cnf(c_0_5,plain,
( member(X1,unordered_pair(X2,X1))
| ~ member(X1,universal_class) ),
inference(fof_simplification,[status(thm)],[unordered_pair3]) ).
cnf(c_0_6,negated_conjecture,
~ member(null_class,singleton(null_class)),
c_0_4 ).
cnf(c_0_7,axiom,
unordered_pair(X1,X1) = singleton(X1),
singleton_set ).
cnf(c_0_8,plain,
( member(X1,unordered_pair(X2,X1))
| ~ member(X1,universal_class) ),
c_0_5 ).
cnf(c_0_9,axiom,
member(null_class,universal_class),
null_class_is_a_set ).
cnf(c_0_10,negated_conjecture,
~ member(null_class,unordered_pair(null_class,null_class)),
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,plain,
member(null_class,unordered_pair(X1,null_class)),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SET080-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.15 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 10:28:06 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.23/0.51 Running first-order theorem proving
% 0.23/0.51 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.uV9Z4CSYX2/E---3.1_2818.p
% 0.23/0.53 # Version: 3.1.0
% 0.23/0.53 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.23/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.23/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.23/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.23/0.53 # Starting sh5l with 300s (1) cores
% 0.23/0.53 # new_bool_3 with pid 2929 completed with status 0
% 0.23/0.53 # Result found by new_bool_3
% 0.23/0.53 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.23/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.23/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.23/0.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.53 # Search class: FGHSM-FFMF21-MFFFFFNN
% 0.23/0.53 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.53 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 181s (1) cores
% 0.23/0.53 # G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with pid 2933 completed with status 0
% 0.23/0.53 # Result found by G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN
% 0.23/0.53 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.23/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.23/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.23/0.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.53 # Search class: FGHSM-FFMF21-MFFFFFNN
% 0.23/0.53 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.53 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 181s (1) cores
% 0.23/0.53 # Preprocessing time : 0.003 s
% 0.23/0.53 # Presaturation interreduction done
% 0.23/0.53
% 0.23/0.53 # Proof found!
% 0.23/0.53 # SZS status Unsatisfiable
% 0.23/0.53 # SZS output start CNFRefutation
% See solution above
% 0.23/0.53 # Parsed axioms : 124
% 0.23/0.53 # Removed by relevancy pruning/SinE : 83
% 0.23/0.53 # Initial clauses : 41
% 0.23/0.53 # Removed in clause preprocessing : 0
% 0.23/0.53 # Initial clauses in saturation : 41
% 0.23/0.53 # Processed clauses : 71
% 0.23/0.53 # ...of these trivial : 0
% 0.23/0.53 # ...subsumed : 7
% 0.23/0.53 # ...remaining for further processing : 64
% 0.23/0.53 # Other redundant clauses eliminated : 2
% 0.23/0.53 # Clauses deleted for lack of memory : 0
% 0.23/0.53 # Backward-subsumed : 1
% 0.23/0.53 # Backward-rewritten : 12
% 0.23/0.53 # Generated clauses : 16
% 0.23/0.53 # ...of the previous two non-redundant : 20
% 0.23/0.53 # ...aggressively subsumed : 0
% 0.23/0.53 # Contextual simplify-reflections : 0
% 0.23/0.53 # Paramodulations : 14
% 0.23/0.53 # Factorizations : 0
% 0.23/0.53 # NegExts : 0
% 0.23/0.53 # Equation resolutions : 2
% 0.23/0.53 # Disequality decompositions : 0
% 0.23/0.53 # Total rewrite steps : 28
% 0.23/0.53 # ...of those cached : 16
% 0.23/0.53 # Propositional unsat checks : 0
% 0.23/0.53 # Propositional check models : 0
% 0.23/0.53 # Propositional check unsatisfiable : 0
% 0.23/0.53 # Propositional clauses : 0
% 0.23/0.53 # Propositional clauses after purity: 0
% 0.23/0.53 # Propositional unsat core size : 0
% 0.23/0.53 # Propositional preprocessing time : 0.000
% 0.23/0.53 # Propositional encoding time : 0.000
% 0.23/0.53 # Propositional solver time : 0.000
% 0.23/0.53 # Success case prop preproc time : 0.000
% 0.23/0.53 # Success case prop encoding time : 0.000
% 0.23/0.53 # Success case prop solver time : 0.000
% 0.23/0.53 # Current number of processed clauses : 13
% 0.23/0.53 # Positive orientable unit clauses : 7
% 0.23/0.53 # Positive unorientable unit clauses: 1
% 0.23/0.53 # Negative unit clauses : 1
% 0.23/0.53 # Non-unit-clauses : 4
% 0.23/0.53 # Current number of unprocessed clauses: 26
% 0.23/0.53 # ...number of literals in the above : 56
% 0.23/0.53 # Current number of archived formulas : 0
% 0.23/0.53 # Current number of archived clauses : 49
% 0.23/0.53 # Clause-clause subsumption calls (NU) : 63
% 0.23/0.53 # Rec. Clause-clause subsumption calls : 63
% 0.23/0.53 # Non-unit clause-clause subsumptions : 6
% 0.23/0.53 # Unit Clause-clause subsumption calls : 4
% 0.23/0.53 # Rewrite failures with RHS unbound : 0
% 0.23/0.53 # BW rewrite match attempts : 27
% 0.23/0.53 # BW rewrite match successes : 24
% 0.23/0.53 # Condensation attempts : 0
% 0.23/0.53 # Condensation successes : 0
% 0.23/0.53 # Termbank termtop insertions : 2028
% 0.23/0.53 # Search garbage collected termcells : 450
% 0.23/0.53
% 0.23/0.53 # -------------------------------------------------
% 0.23/0.53 # User time : 0.006 s
% 0.23/0.53 # System time : 0.004 s
% 0.23/0.53 # Total time : 0.010 s
% 0.23/0.53 # Maximum resident set size: 1868 pages
% 0.23/0.53
% 0.23/0.53 # -------------------------------------------------
% 0.23/0.53 # User time : 0.010 s
% 0.23/0.53 # System time : 0.005 s
% 0.23/0.53 # Total time : 0.015 s
% 0.23/0.53 # Maximum resident set size: 1788 pages
% 0.23/0.53 % E---3.1 exiting
% 0.23/0.53 % E exiting
%------------------------------------------------------------------------------