TSTP Solution File: SET118-7 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET118-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n018.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 19:22:12 EDT 2023
% Result : Unsatisfiable 0.20s 0.52s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 8 RR)
% Number of literals : 15 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.5psJmVTHY7/E---3.1_8560.p',subclass_members) ).
cnf(class_elements_are_sets,axiom,
subclass(X1,universal_class),
file('/export/starexec/sandbox/tmp/tmp.5psJmVTHY7/E---3.1_8560.p',class_elements_are_sets) ).
cnf(prove_corollary_2_to_ordered_pairs_are_sets_1,negated_conjecture,
member(x,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/tmp/tmp.5psJmVTHY7/E---3.1_8560.p',prove_corollary_2_to_ordered_pairs_are_sets_1) ).
cnf(prove_corollary_2_to_ordered_pairs_are_sets_2,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox/tmp/tmp.5psJmVTHY7/E---3.1_8560.p',prove_corollary_2_to_ordered_pairs_are_sets_2) ).
cnf(c_0_4,axiom,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
subclass_members ).
cnf(c_0_5,axiom,
subclass(X1,universal_class),
class_elements_are_sets ).
cnf(c_0_6,plain,
( member(X1,universal_class)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,negated_conjecture,
member(x,cross_product(universal_class,universal_class)),
prove_corollary_2_to_ordered_pairs_are_sets_1 ).
cnf(c_0_8,negated_conjecture,
~ member(x,universal_class),
prove_corollary_2_to_ordered_pairs_are_sets_2 ).
cnf(c_0_9,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET118-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 2400
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Oct 2 16:47:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 Running first-order model finding
% 0.20/0.49 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.5psJmVTHY7/E---3.1_8560.p
% 0.20/0.52 # Version: 3.1pre001
% 0.20/0.52 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.52 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.52 # Starting sh5l with 300s (1) cores
% 0.20/0.52 # new_bool_3 with pid 8657 completed with status 0
% 0.20/0.52 # Result found by new_bool_3
% 0.20/0.52 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.52 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.52 # Search class: FGHSM-FFMS21-MFFFFFNN
% 0.20/0.52 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.52 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.52 # SAT001_MinMin_p005000_rr_RG with pid 8660 completed with status 0
% 0.20/0.52 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.52 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.52 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.52 # Search class: FGHSM-FFMS21-MFFFFFNN
% 0.20/0.52 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.52 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.52 # Preprocessing time : 0.003 s
% 0.20/0.52 # Presaturation interreduction done
% 0.20/0.52
% 0.20/0.52 # Proof found!
% 0.20/0.52 # SZS status Unsatisfiable
% 0.20/0.52 # SZS output start CNFRefutation
% See solution above
% 0.20/0.52 # Parsed axioms : 165
% 0.20/0.52 # Removed by relevancy pruning/SinE : 107
% 0.20/0.52 # Initial clauses : 58
% 0.20/0.52 # Removed in clause preprocessing : 0
% 0.20/0.52 # Initial clauses in saturation : 58
% 0.20/0.52 # Processed clauses : 112
% 0.20/0.52 # ...of these trivial : 0
% 0.20/0.52 # ...subsumed : 13
% 0.20/0.52 # ...remaining for further processing : 99
% 0.20/0.52 # Other redundant clauses eliminated : 2
% 0.20/0.52 # Clauses deleted for lack of memory : 0
% 0.20/0.52 # Backward-subsumed : 0
% 0.20/0.52 # Backward-rewritten : 1
% 0.20/0.52 # Generated clauses : 93
% 0.20/0.52 # ...of the previous two non-redundant : 55
% 0.20/0.52 # ...aggressively subsumed : 0
% 0.20/0.52 # Contextual simplify-reflections : 0
% 0.20/0.52 # Paramodulations : 88
% 0.20/0.52 # Factorizations : 0
% 0.20/0.52 # NegExts : 0
% 0.20/0.52 # Equation resolutions : 5
% 0.20/0.52 # Total rewrite steps : 22
% 0.20/0.52 # Propositional unsat checks : 0
% 0.20/0.52 # Propositional check models : 0
% 0.20/0.52 # Propositional check unsatisfiable : 0
% 0.20/0.52 # Propositional clauses : 0
% 0.20/0.52 # Propositional clauses after purity: 0
% 0.20/0.52 # Propositional unsat core size : 0
% 0.20/0.52 # Propositional preprocessing time : 0.000
% 0.20/0.52 # Propositional encoding time : 0.000
% 0.20/0.52 # Propositional solver time : 0.000
% 0.20/0.52 # Success case prop preproc time : 0.000
% 0.20/0.52 # Success case prop encoding time : 0.000
% 0.20/0.52 # Success case prop solver time : 0.000
% 0.20/0.52 # Current number of processed clauses : 41
% 0.20/0.52 # Positive orientable unit clauses : 12
% 0.20/0.52 # Positive unorientable unit clauses: 2
% 0.20/0.52 # Negative unit clauses : 2
% 0.20/0.52 # Non-unit-clauses : 25
% 0.20/0.52 # Current number of unprocessed clauses: 56
% 0.20/0.52 # ...number of literals in the above : 123
% 0.20/0.52 # Current number of archived formulas : 0
% 0.20/0.52 # Current number of archived clauses : 56
% 0.20/0.52 # Clause-clause subsumption calls (NU) : 128
% 0.20/0.52 # Rec. Clause-clause subsumption calls : 107
% 0.20/0.52 # Non-unit clause-clause subsumptions : 11
% 0.20/0.52 # Unit Clause-clause subsumption calls : 8
% 0.20/0.52 # Rewrite failures with RHS unbound : 0
% 0.20/0.52 # BW rewrite match attempts : 29
% 0.20/0.52 # BW rewrite match successes : 23
% 0.20/0.52 # Condensation attempts : 0
% 0.20/0.52 # Condensation successes : 0
% 0.20/0.52 # Termbank termtop insertions : 2915
% 0.20/0.52
% 0.20/0.52 # -------------------------------------------------
% 0.20/0.52 # User time : 0.007 s
% 0.20/0.52 # System time : 0.003 s
% 0.20/0.52 # Total time : 0.010 s
% 0.20/0.52 # Maximum resident set size: 1820 pages
% 0.20/0.52
% 0.20/0.52 # -------------------------------------------------
% 0.20/0.52 # User time : 0.011 s
% 0.20/0.52 # System time : 0.005 s
% 0.20/0.52 # Total time : 0.017 s
% 0.20/0.52 # Maximum resident set size: 1800 pages
% 0.20/0.52 % E---3.1 exiting
%------------------------------------------------------------------------------