TSTP Solution File: SET024-6 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET024-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 19:21:41 EDT 2023
% Result : Unsatisfiable 0.42s 0.54s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 6 RR)
% Number of literals : 12 ( 2 equ; 5 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 : 6 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_set_in_its_singleton_2,negated_conjecture,
~ member(x,singleton(x)),
file('/export/starexec/sandbox/tmp/tmp.ODgxrVsTCW/E---3.1_10536.p',prove_set_in_its_singleton_2) ).
cnf(singleton_set,axiom,
unordered_pair(X1,X1) = singleton(X1),
file('/export/starexec/sandbox/tmp/tmp.ODgxrVsTCW/E---3.1_10536.p',singleton_set) ).
cnf(unordered_pair3,axiom,
( member(X1,unordered_pair(X2,X1))
| ~ member(X1,universal_class) ),
file('/export/starexec/sandbox/tmp/tmp.ODgxrVsTCW/E---3.1_10536.p',unordered_pair3) ).
cnf(prove_set_in_its_singleton_1,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox/tmp/tmp.ODgxrVsTCW/E---3.1_10536.p',prove_set_in_its_singleton_1) ).
cnf(c_0_4,negated_conjecture,
~ member(x,singleton(x)),
prove_set_in_its_singleton_2 ).
cnf(c_0_5,axiom,
unordered_pair(X1,X1) = singleton(X1),
singleton_set ).
cnf(c_0_6,negated_conjecture,
~ member(x,unordered_pair(x,x)),
inference(rw,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,axiom,
( member(X1,unordered_pair(X2,X1))
| ~ member(X1,universal_class) ),
unordered_pair3 ).
cnf(c_0_8,negated_conjecture,
member(x,universal_class),
prove_set_in_its_singleton_1 ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15 % Problem : SET024-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.16 % Command : run_E %s %d THM
% 0.15/0.37 % Computer : n027.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 2400
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon Oct 2 17:35:15 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.52 Running first-order model finding
% 0.22/0.52 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.ODgxrVsTCW/E---3.1_10536.p
% 0.42/0.54 # Version: 3.1pre001
% 0.42/0.54 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.42/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.42/0.54 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.42/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.42/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.42/0.54 # Starting sh5l with 300s (1) cores
% 0.42/0.54 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 10613 completed with status 0
% 0.42/0.54 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.42/0.54 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.42/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.42/0.54 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.42/0.54 # No SInE strategy applied
% 0.42/0.54 # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.42/0.54 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.42/0.54 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.42/0.54 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.42/0.54 # Starting new_bool_1 with 308s (1) cores
% 0.42/0.54 # Starting sh5l with 304s (1) cores
% 0.42/0.54 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.42/0.54 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 10620 completed with status 0
% 0.42/0.54 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.42/0.54 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.42/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.42/0.54 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.42/0.54 # No SInE strategy applied
% 0.42/0.54 # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.42/0.54 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.42/0.54 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.42/0.54 # Preprocessing time : 0.003 s
% 0.42/0.54 # Presaturation interreduction done
% 0.42/0.54
% 0.42/0.54 # Proof found!
% 0.42/0.54 # SZS status Unsatisfiable
% 0.42/0.54 # SZS output start CNFRefutation
% See solution above
% 0.42/0.54 # Parsed axioms : 93
% 0.42/0.54 # Removed by relevancy pruning/SinE : 0
% 0.42/0.54 # Initial clauses : 93
% 0.42/0.54 # Removed in clause preprocessing : 15
% 0.42/0.54 # Initial clauses in saturation : 78
% 0.42/0.54 # Processed clauses : 101
% 0.42/0.54 # ...of these trivial : 0
% 0.42/0.54 # ...subsumed : 0
% 0.42/0.54 # ...remaining for further processing : 101
% 0.42/0.54 # Other redundant clauses eliminated : 3
% 0.42/0.54 # Clauses deleted for lack of memory : 0
% 0.42/0.54 # Backward-subsumed : 0
% 0.42/0.54 # Backward-rewritten : 0
% 0.42/0.54 # Generated clauses : 7
% 0.42/0.54 # ...of the previous two non-redundant : 4
% 0.42/0.54 # ...aggressively subsumed : 0
% 0.42/0.54 # Contextual simplify-reflections : 0
% 0.42/0.54 # Paramodulations : 4
% 0.42/0.54 # Factorizations : 0
% 0.42/0.54 # NegExts : 0
% 0.42/0.54 # Equation resolutions : 3
% 0.42/0.54 # Total rewrite steps : 3
% 0.42/0.54 # Propositional unsat checks : 0
% 0.42/0.54 # Propositional check models : 0
% 0.42/0.54 # Propositional check unsatisfiable : 0
% 0.42/0.54 # Propositional clauses : 0
% 0.42/0.54 # Propositional clauses after purity: 0
% 0.42/0.54 # Propositional unsat core size : 0
% 0.42/0.54 # Propositional preprocessing time : 0.000
% 0.42/0.54 # Propositional encoding time : 0.000
% 0.42/0.54 # Propositional solver time : 0.000
% 0.42/0.54 # Success case prop preproc time : 0.000
% 0.42/0.54 # Success case prop encoding time : 0.000
% 0.42/0.54 # Success case prop solver time : 0.000
% 0.42/0.54 # Current number of processed clauses : 21
% 0.42/0.54 # Positive orientable unit clauses : 10
% 0.42/0.54 # Positive unorientable unit clauses: 0
% 0.42/0.54 # Negative unit clauses : 1
% 0.42/0.54 # Non-unit-clauses : 10
% 0.42/0.54 # Current number of unprocessed clauses: 58
% 0.42/0.54 # ...number of literals in the above : 136
% 0.42/0.54 # Current number of archived formulas : 0
% 0.42/0.54 # Current number of archived clauses : 92
% 0.42/0.54 # Clause-clause subsumption calls (NU) : 1034
% 0.42/0.54 # Rec. Clause-clause subsumption calls : 496
% 0.42/0.54 # Non-unit clause-clause subsumptions : 0
% 0.42/0.54 # Unit Clause-clause subsumption calls : 6
% 0.42/0.54 # Rewrite failures with RHS unbound : 0
% 0.42/0.54 # BW rewrite match attempts : 5
% 0.42/0.54 # BW rewrite match successes : 1
% 0.42/0.54 # Condensation attempts : 0
% 0.42/0.54 # Condensation successes : 0
% 0.42/0.54 # Termbank termtop insertions : 5431
% 0.42/0.54
% 0.42/0.54 # -------------------------------------------------
% 0.42/0.54 # User time : 0.007 s
% 0.42/0.54 # System time : 0.008 s
% 0.42/0.54 # Total time : 0.015 s
% 0.42/0.54 # Maximum resident set size: 1940 pages
% 0.42/0.54
% 0.42/0.54 # -------------------------------------------------
% 0.42/0.54 # User time : 0.036 s
% 0.42/0.54 # System time : 0.016 s
% 0.42/0.54 # Total time : 0.051 s
% 0.42/0.54 # Maximum resident set size: 1756 pages
% 0.42/0.54 % E---3.1 exiting
%------------------------------------------------------------------------------