TSTP Solution File: SET024-7 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET024-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.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 19:18:01 EDT 2023
% Result : Unsatisfiable 0.15s 0.43s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 6 RR)
% Number of literals : 13 ( 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 : 7 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_set_in_its_singleton_2,negated_conjecture,
~ member(x,singleton(x)),
file('/export/starexec/sandbox2/tmp/tmp.b1do6mIqps/E---3.1_548.p',prove_set_in_its_singleton_2) ).
cnf(singleton_set,axiom,
unordered_pair(X1,X1) = singleton(X1),
file('/export/starexec/sandbox2/tmp/tmp.b1do6mIqps/E---3.1_548.p',singleton_set) ).
cnf(unordered_pair3,axiom,
( member(X1,unordered_pair(X2,X1))
| ~ member(X1,universal_class) ),
file('/export/starexec/sandbox2/tmp/tmp.b1do6mIqps/E---3.1_548.p',unordered_pair3) ).
cnf(prove_set_in_its_singleton_1,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/tmp/tmp.b1do6mIqps/E---3.1_548.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,axiom,
( member(X1,unordered_pair(X2,X1))
| ~ member(X1,universal_class) ),
unordered_pair3 ).
cnf(c_0_7,negated_conjecture,
member(x,universal_class),
prove_set_in_its_singleton_1 ).
cnf(c_0_8,negated_conjecture,
~ member(x,unordered_pair(x,x)),
inference(rw,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_9,negated_conjecture,
member(x,unordered_pair(X1,x)),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SET024-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n010.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Oct 2 16:45:35 EDT 2023
% 0.15/0.31 % CPUTime :
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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.b1do6mIqps/E---3.1_548.p
% 0.15/0.43 # Version: 3.1pre001
% 0.15/0.43 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 # Starting sh5l with 300s (1) cores
% 0.15/0.43 # new_bool_1 with pid 636 completed with status 0
% 0.15/0.43 # Result found by new_bool_1
% 0.15/0.43 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43 # Search class: FGHSM-FFMF21-MFFFFFNN
% 0.15/0.43 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 181s (1) cores
% 0.15/0.43 # G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with pid 639 completed with status 0
% 0.15/0.43 # Result found by G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN
% 0.15/0.43 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43 # Search class: FGHSM-FFMF21-MFFFFFNN
% 0.15/0.43 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 181s (1) cores
% 0.15/0.43 # Preprocessing time : 0.001 s
% 0.15/0.43 # Presaturation interreduction done
% 0.15/0.43
% 0.15/0.43 # Proof found!
% 0.15/0.43 # SZS status Unsatisfiable
% 0.15/0.43 # SZS output start CNFRefutation
% See solution above
% 0.15/0.43 # Parsed axioms : 123
% 0.15/0.43 # Removed by relevancy pruning/SinE : 83
% 0.15/0.43 # Initial clauses : 40
% 0.15/0.43 # Removed in clause preprocessing : 0
% 0.15/0.43 # Initial clauses in saturation : 40
% 0.15/0.43 # Processed clauses : 79
% 0.15/0.43 # ...of these trivial : 1
% 0.15/0.43 # ...subsumed : 7
% 0.15/0.43 # ...remaining for further processing : 71
% 0.15/0.43 # Other redundant clauses eliminated : 4
% 0.15/0.43 # Clauses deleted for lack of memory : 0
% 0.15/0.43 # Backward-subsumed : 0
% 0.15/0.43 # Backward-rewritten : 10
% 0.15/0.43 # Generated clauses : 52
% 0.15/0.43 # ...of the previous two non-redundant : 38
% 0.15/0.43 # ...aggressively subsumed : 0
% 0.15/0.43 # Contextual simplify-reflections : 0
% 0.15/0.43 # Paramodulations : 40
% 0.15/0.43 # Factorizations : 8
% 0.15/0.43 # NegExts : 0
% 0.15/0.43 # Equation resolutions : 4
% 0.15/0.43 # Total rewrite steps : 35
% 0.15/0.43 # Propositional unsat checks : 0
% 0.15/0.43 # Propositional check models : 0
% 0.15/0.43 # Propositional check unsatisfiable : 0
% 0.15/0.43 # Propositional clauses : 0
% 0.15/0.43 # Propositional clauses after purity: 0
% 0.15/0.43 # Propositional unsat core size : 0
% 0.15/0.43 # Propositional preprocessing time : 0.000
% 0.15/0.43 # Propositional encoding time : 0.000
% 0.15/0.43 # Propositional solver time : 0.000
% 0.15/0.43 # Success case prop preproc time : 0.000
% 0.15/0.43 # Success case prop encoding time : 0.000
% 0.15/0.43 # Success case prop solver time : 0.000
% 0.15/0.43 # Current number of processed clauses : 22
% 0.15/0.43 # Positive orientable unit clauses : 10
% 0.15/0.43 # Positive unorientable unit clauses: 1
% 0.15/0.43 # Negative unit clauses : 1
% 0.15/0.43 # Non-unit-clauses : 10
% 0.15/0.43 # Current number of unprocessed clauses: 36
% 0.15/0.43 # ...number of literals in the above : 73
% 0.15/0.43 # Current number of archived formulas : 0
% 0.15/0.43 # Current number of archived clauses : 47
% 0.15/0.43 # Clause-clause subsumption calls (NU) : 61
% 0.15/0.43 # Rec. Clause-clause subsumption calls : 61
% 0.15/0.43 # Non-unit clause-clause subsumptions : 5
% 0.15/0.43 # Unit Clause-clause subsumption calls : 1
% 0.15/0.43 # Rewrite failures with RHS unbound : 0
% 0.15/0.43 # BW rewrite match attempts : 27
% 0.15/0.43 # BW rewrite match successes : 23
% 0.15/0.43 # Condensation attempts : 0
% 0.15/0.43 # Condensation successes : 0
% 0.15/0.43 # Termbank termtop insertions : 2060
% 0.15/0.43
% 0.15/0.43 # -------------------------------------------------
% 0.15/0.43 # User time : 0.005 s
% 0.15/0.43 # System time : 0.000 s
% 0.15/0.43 # Total time : 0.005 s
% 0.15/0.43 # Maximum resident set size: 1848 pages
% 0.15/0.43
% 0.15/0.43 # -------------------------------------------------
% 0.15/0.43 # User time : 0.009 s
% 0.15/0.43 # System time : 0.000 s
% 0.15/0.43 # Total time : 0.009 s
% 0.15/0.43 # Maximum resident set size: 1768 pages
% 0.15/0.43 % E---3.1 exiting
% 0.15/0.44 % E---3.1 exiting
%------------------------------------------------------------------------------