TSTP Solution File: SET411-6 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SET411-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.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 09:22:53 EDT 2024
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 23 ( 12 unt; 0 nHn; 21 RR)
% Number of literals : 37 ( 2 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 29 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(intersection2,axiom,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.SNMr4qLHFO/E---3.1_2834.p',intersection2) ).
cnf(compose_can_define_singleton,axiom,
intersection(complement(compose(element_relation,complement(identity_relation))),element_relation) = singleton_relation,
file('/export/starexec/sandbox/tmp/tmp.SNMr4qLHFO/E---3.1_2834.p',compose_can_define_singleton) ).
cnf(subclass_members,axiom,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.SNMr4qLHFO/E---3.1_2834.p',subclass_members) ).
cnf(element_relation2,axiom,
( member(X1,X2)
| ~ member(ordered_pair(X1,X2),element_relation) ),
file('/export/starexec/sandbox/tmp/tmp.SNMr4qLHFO/E---3.1_2834.p',element_relation2) ).
cnf(prove_compose_condition_for_singleton_membership1_1,negated_conjecture,
member(ordered_pair(x,y),singleton_relation),
file('/export/starexec/sandbox/tmp/tmp.SNMr4qLHFO/E---3.1_2834.p',prove_compose_condition_for_singleton_membership1_1) ).
cnf(class_elements_are_sets,axiom,
subclass(X1,universal_class),
file('/export/starexec/sandbox/tmp/tmp.SNMr4qLHFO/E---3.1_2834.p',class_elements_are_sets) ).
cnf(prove_compose_condition_for_singleton_membership1_2,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox/tmp/tmp.SNMr4qLHFO/E---3.1_2834.p',prove_compose_condition_for_singleton_membership1_2) ).
cnf(c_0_7,plain,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
inference(fof_simplification,[status(thm)],[intersection2]) ).
cnf(c_0_8,plain,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
c_0_7 ).
cnf(c_0_9,axiom,
intersection(complement(compose(element_relation,complement(identity_relation))),element_relation) = singleton_relation,
compose_can_define_singleton ).
cnf(c_0_10,plain,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
inference(fof_simplification,[status(thm)],[subclass_members]) ).
cnf(c_0_11,plain,
( member(X1,X2)
| ~ member(ordered_pair(X1,X2),element_relation) ),
inference(fof_simplification,[status(thm)],[element_relation2]) ).
cnf(c_0_12,plain,
( member(X1,element_relation)
| ~ member(X1,singleton_relation) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
member(ordered_pair(x,y),singleton_relation),
prove_compose_condition_for_singleton_membership1_1 ).
cnf(c_0_14,plain,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
c_0_10 ).
cnf(c_0_15,axiom,
subclass(X1,universal_class),
class_elements_are_sets ).
cnf(c_0_16,plain,
( member(X1,X2)
| ~ member(ordered_pair(X1,X2),element_relation) ),
c_0_11 ).
cnf(c_0_17,negated_conjecture,
member(ordered_pair(x,y),element_relation),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
~ member(x,universal_class),
inference(fof_simplification,[status(thm)],[prove_compose_condition_for_singleton_membership1_2]) ).
cnf(c_0_19,plain,
( member(X1,universal_class)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
member(x,y),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
~ member(x,universal_class),
c_0_18 ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.08 % Problem : SET411-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.09 % Command : run_E %s %d THM
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Fri May 3 10:14:54 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.13/0.36 Running first-order model finding
% 0.13/0.36 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.SNMr4qLHFO/E---3.1_2834.p
% 0.13/0.38 # Version: 3.1.0
% 0.13/0.38 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.38 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.38 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.38 # Starting new_bool_3 with 300s (1) cores
% 0.13/0.38 # Starting new_bool_1 with 300s (1) cores
% 0.13/0.38 # Starting sh5l with 300s (1) cores
% 0.13/0.38 # new_bool_3 with pid 2912 completed with status 0
% 0.13/0.38 # Result found by new_bool_3
% 0.13/0.38 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.38 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.38 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.38 # Starting new_bool_3 with 300s (1) cores
% 0.13/0.38 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.38 # Search class: FGHSS-FFSS21-MFFFFFNN
% 0.13/0.38 # partial match(1): FGHSS-FFSS21-SFFFFFNN
% 0.13/0.38 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.38 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.13/0.38 # SAT001_MinMin_p005000_rr_RG with pid 2915 completed with status 0
% 0.13/0.38 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.13/0.38 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.38 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.38 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.38 # Starting new_bool_3 with 300s (1) cores
% 0.13/0.38 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.38 # Search class: FGHSS-FFSS21-MFFFFFNN
% 0.13/0.38 # partial match(1): FGHSS-FFSS21-SFFFFFNN
% 0.13/0.38 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.38 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.13/0.38 # Preprocessing time : 0.001 s
% 0.13/0.38 # Presaturation interreduction done
% 0.13/0.38
% 0.13/0.38 # Proof found!
% 0.13/0.38 # SZS status Unsatisfiable
% 0.13/0.38 # SZS output start CNFRefutation
% See solution above
% 0.13/0.38 # Parsed axioms : 114
% 0.13/0.38 # Removed by relevancy pruning/SinE : 91
% 0.13/0.38 # Initial clauses : 23
% 0.13/0.38 # Removed in clause preprocessing : 0
% 0.13/0.38 # Initial clauses in saturation : 23
% 0.13/0.38 # Processed clauses : 51
% 0.13/0.38 # ...of these trivial : 0
% 0.13/0.38 # ...subsumed : 0
% 0.13/0.38 # ...remaining for further processing : 51
% 0.13/0.38 # Other redundant clauses eliminated : 2
% 0.13/0.38 # Clauses deleted for lack of memory : 0
% 0.13/0.38 # Backward-subsumed : 0
% 0.13/0.38 # Backward-rewritten : 0
% 0.13/0.38 # Generated clauses : 25
% 0.13/0.38 # ...of the previous two non-redundant : 17
% 0.13/0.38 # ...aggressively subsumed : 0
% 0.13/0.38 # Contextual simplify-reflections : 0
% 0.13/0.38 # Paramodulations : 23
% 0.13/0.38 # Factorizations : 0
% 0.13/0.38 # NegExts : 0
% 0.13/0.38 # Equation resolutions : 2
% 0.13/0.38 # Disequality decompositions : 0
% 0.13/0.38 # Total rewrite steps : 3
% 0.13/0.38 # ...of those cached : 1
% 0.13/0.38 # Propositional unsat checks : 0
% 0.13/0.38 # Propositional check models : 0
% 0.13/0.38 # Propositional check unsatisfiable : 0
% 0.13/0.38 # Propositional clauses : 0
% 0.13/0.38 # Propositional clauses after purity: 0
% 0.13/0.38 # Propositional unsat core size : 0
% 0.13/0.38 # Propositional preprocessing time : 0.000
% 0.13/0.38 # Propositional encoding time : 0.000
% 0.13/0.38 # Propositional solver time : 0.000
% 0.13/0.38 # Success case prop preproc time : 0.000
% 0.13/0.38 # Success case prop encoding time : 0.000
% 0.13/0.38 # Success case prop solver time : 0.000
% 0.13/0.38 # Current number of processed clauses : 27
% 0.13/0.38 # Positive orientable unit clauses : 9
% 0.13/0.38 # Positive unorientable unit clauses: 0
% 0.13/0.38 # Negative unit clauses : 1
% 0.13/0.38 # Non-unit-clauses : 17
% 0.13/0.38 # Current number of unprocessed clauses: 11
% 0.13/0.38 # ...number of literals in the above : 29
% 0.13/0.38 # Current number of archived formulas : 0
% 0.13/0.38 # Current number of archived clauses : 22
% 0.13/0.38 # Clause-clause subsumption calls (NU) : 107
% 0.13/0.38 # Rec. Clause-clause subsumption calls : 97
% 0.13/0.38 # Non-unit clause-clause subsumptions : 0
% 0.13/0.38 # Unit Clause-clause subsumption calls : 0
% 0.13/0.38 # Rewrite failures with RHS unbound : 0
% 0.13/0.38 # BW rewrite match attempts : 4
% 0.13/0.38 # BW rewrite match successes : 0
% 0.13/0.38 # Condensation attempts : 0
% 0.13/0.38 # Condensation successes : 0
% 0.13/0.38 # Termbank termtop insertions : 1757
% 0.13/0.38 # Search garbage collected termcells : 469
% 0.13/0.38
% 0.13/0.38 # -------------------------------------------------
% 0.13/0.38 # User time : 0.004 s
% 0.13/0.38 # System time : 0.001 s
% 0.13/0.38 # Total time : 0.005 s
% 0.13/0.38 # Maximum resident set size: 1884 pages
% 0.13/0.38
% 0.13/0.38 # -------------------------------------------------
% 0.13/0.38 # User time : 0.005 s
% 0.13/0.38 # System time : 0.002 s
% 0.13/0.38 # Total time : 0.008 s
% 0.13/0.38 # Maximum resident set size: 1788 pages
% 0.13/0.38 % E---3.1 exiting
%------------------------------------------------------------------------------