TSTP Solution File: SET102-6 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET102-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.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 19:22:08 EDT 2023
% Result : Unsatisfiable 0.17s 0.45s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 3 RR)
% Number of literals : 12 ( 2 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(unordered_pair3,axiom,
( member(X1,unordered_pair(X2,X1))
| ~ member(X1,universal_class) ),
file('/export/starexec/sandbox2/tmp/tmp.2OM5XoVdM3/E---3.1_22187.p',unordered_pair3) ).
cnf(ordered_pair,axiom,
unordered_pair(singleton(X1),unordered_pair(X1,singleton(X2))) = ordered_pair(X1,X2),
file('/export/starexec/sandbox2/tmp/tmp.2OM5XoVdM3/E---3.1_22187.p',ordered_pair) ).
cnf(unordered_pairs_in_universal,axiom,
member(unordered_pair(X1,X2),universal_class),
file('/export/starexec/sandbox2/tmp/tmp.2OM5XoVdM3/E---3.1_22187.p',unordered_pairs_in_universal) ).
cnf(prove_unordered_pair_member_of_ordered_pair_1,negated_conjecture,
~ member(unordered_pair(x,singleton(y)),ordered_pair(x,y)),
file('/export/starexec/sandbox2/tmp/tmp.2OM5XoVdM3/E---3.1_22187.p',prove_unordered_pair_member_of_ordered_pair_1) ).
cnf(c_0_4,axiom,
( member(X1,unordered_pair(X2,X1))
| ~ member(X1,universal_class) ),
unordered_pair3 ).
cnf(c_0_5,axiom,
unordered_pair(singleton(X1),unordered_pair(X1,singleton(X2))) = ordered_pair(X1,X2),
ordered_pair ).
cnf(c_0_6,axiom,
member(unordered_pair(X1,X2),universal_class),
unordered_pairs_in_universal ).
cnf(c_0_7,negated_conjecture,
~ member(unordered_pair(x,singleton(y)),ordered_pair(x,y)),
prove_unordered_pair_member_of_ordered_pair_1 ).
cnf(c_0_8,plain,
member(unordered_pair(X1,singleton(X2)),ordered_pair(X1,X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6])]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET102-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n022.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 : Mon Oct 2 16:36:24 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order model finding
% 0.17/0.44 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.2OM5XoVdM3/E---3.1_22187.p
% 0.17/0.45 # Version: 3.1pre001
% 0.17/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45 # Starting sh5l with 300s (1) cores
% 0.17/0.45 # new_bool_3 with pid 22266 completed with status 0
% 0.17/0.45 # Result found by new_bool_3
% 0.17/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45 # Search class: FGHSM-FFMF31-MFFFFFNN
% 0.17/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 181s (1) cores
% 0.17/0.45 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with pid 22269 completed with status 0
% 0.17/0.45 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 0.17/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45 # Search class: FGHSM-FFMF31-MFFFFFNN
% 0.17/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 181s (1) cores
% 0.17/0.45 # Preprocessing time : 0.004 s
% 0.17/0.45 # Presaturation interreduction done
% 0.17/0.45
% 0.17/0.45 # Proof found!
% 0.17/0.45 # SZS status Unsatisfiable
% 0.17/0.45 # SZS output start CNFRefutation
% See solution above
% 0.17/0.45 # Parsed axioms : 92
% 0.17/0.45 # Removed by relevancy pruning/SinE : 56
% 0.17/0.45 # Initial clauses : 36
% 0.17/0.45 # Removed in clause preprocessing : 0
% 0.17/0.45 # Initial clauses in saturation : 36
% 0.17/0.45 # Processed clauses : 84
% 0.17/0.45 # ...of these trivial : 0
% 0.17/0.45 # ...subsumed : 7
% 0.17/0.45 # ...remaining for further processing : 77
% 0.17/0.45 # Other redundant clauses eliminated : 4
% 0.17/0.45 # Clauses deleted for lack of memory : 0
% 0.17/0.45 # Backward-subsumed : 0
% 0.17/0.45 # Backward-rewritten : 1
% 0.17/0.45 # Generated clauses : 80
% 0.17/0.45 # ...of the previous two non-redundant : 62
% 0.17/0.45 # ...aggressively subsumed : 0
% 0.17/0.45 # Contextual simplify-reflections : 0
% 0.17/0.45 # Paramodulations : 68
% 0.17/0.45 # Factorizations : 8
% 0.17/0.45 # NegExts : 0
% 0.17/0.45 # Equation resolutions : 4
% 0.17/0.45 # Total rewrite steps : 14
% 0.17/0.45 # Propositional unsat checks : 0
% 0.17/0.45 # Propositional check models : 0
% 0.17/0.45 # Propositional check unsatisfiable : 0
% 0.17/0.45 # Propositional clauses : 0
% 0.17/0.45 # Propositional clauses after purity: 0
% 0.17/0.45 # Propositional unsat core size : 0
% 0.17/0.45 # Propositional preprocessing time : 0.000
% 0.17/0.45 # Propositional encoding time : 0.000
% 0.17/0.45 # Propositional solver time : 0.000
% 0.17/0.45 # Success case prop preproc time : 0.000
% 0.17/0.45 # Success case prop encoding time : 0.000
% 0.17/0.45 # Success case prop solver time : 0.000
% 0.17/0.45 # Current number of processed clauses : 39
% 0.17/0.45 # Positive orientable unit clauses : 15
% 0.17/0.45 # Positive unorientable unit clauses: 1
% 0.17/0.45 # Negative unit clauses : 0
% 0.17/0.45 # Non-unit-clauses : 23
% 0.17/0.45 # Current number of unprocessed clauses: 49
% 0.17/0.45 # ...number of literals in the above : 110
% 0.17/0.45 # Current number of archived formulas : 0
% 0.17/0.45 # Current number of archived clauses : 36
% 0.17/0.45 # Clause-clause subsumption calls (NU) : 179
% 0.17/0.45 # Rec. Clause-clause subsumption calls : 171
% 0.17/0.45 # Non-unit clause-clause subsumptions : 7
% 0.17/0.45 # Unit Clause-clause subsumption calls : 4
% 0.17/0.45 # Rewrite failures with RHS unbound : 0
% 0.17/0.45 # BW rewrite match attempts : 5
% 0.17/0.45 # BW rewrite match successes : 1
% 0.17/0.45 # Condensation attempts : 0
% 0.17/0.45 # Condensation successes : 0
% 0.17/0.45 # Termbank termtop insertions : 2285
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.005 s
% 0.17/0.45 # System time : 0.005 s
% 0.17/0.45 # Total time : 0.009 s
% 0.17/0.45 # Maximum resident set size: 1816 pages
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.007 s
% 0.17/0.45 # System time : 0.006 s
% 0.17/0.45 # Total time : 0.013 s
% 0.17/0.45 # Maximum resident set size: 1756 pages
% 0.17/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------