TSTP Solution File: SET152-6 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET152-6 : 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 19:18:41 EDT 2023
% Result : Unsatisfiable 0.17s 0.49s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 5 unt; 3 nHn; 9 RR)
% Number of literals : 25 ( 6 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 18 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.WfnQkvwpIS/E---3.1_3312.p',subclass_members) ).
cnf(class_elements_are_sets,axiom,
subclass(X1,universal_class),
file('/export/starexec/sandbox2/tmp/tmp.WfnQkvwpIS/E---3.1_3312.p',class_elements_are_sets) ).
cnf(complement1,axiom,
( ~ member(X1,complement(X2))
| ~ member(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.WfnQkvwpIS/E---3.1_3312.p',complement1) ).
cnf(regularity1,axiom,
( X1 = null_class
| member(regular(X1),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.WfnQkvwpIS/E---3.1_3312.p',regularity1) ).
cnf(prove_complement_of_universal_class_1,negated_conjecture,
complement(universal_class) != null_class,
file('/export/starexec/sandbox2/tmp/tmp.WfnQkvwpIS/E---3.1_3312.p',prove_complement_of_universal_class_1) ).
cnf(c_0_5,axiom,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
subclass_members ).
cnf(c_0_6,axiom,
subclass(X1,universal_class),
class_elements_are_sets ).
cnf(c_0_7,axiom,
( ~ member(X1,complement(X2))
| ~ member(X1,X2) ),
complement1 ).
cnf(c_0_8,axiom,
( X1 = null_class
| member(regular(X1),X1) ),
regularity1 ).
cnf(c_0_9,plain,
( member(X1,universal_class)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,plain,
( complement(X1) = null_class
| ~ member(regular(complement(X1)),X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
( X1 = null_class
| member(regular(X1),universal_class) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
complement(universal_class) != null_class,
prove_complement_of_universal_class_1 ).
cnf(c_0_13,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET152-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 2400
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Oct 2 18:11:30 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.17/0.46 Running first-order theorem proving
% 0.17/0.46 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.WfnQkvwpIS/E---3.1_3312.p
% 0.17/0.49 # Version: 3.1pre001
% 0.17/0.49 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.49 # Starting sh5l with 300s (1) cores
% 0.17/0.49 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3390 completed with status 0
% 0.17/0.49 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.17/0.49 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.49 # No SInE strategy applied
% 0.17/0.49 # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.17/0.49 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.49 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.17/0.49 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.17/0.49 # Starting new_bool_1 with 308s (1) cores
% 0.17/0.49 # Starting sh5l with 304s (1) cores
% 0.17/0.49 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.17/0.49 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3398 completed with status 0
% 0.17/0.49 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.17/0.49 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.49 # No SInE strategy applied
% 0.17/0.49 # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.17/0.49 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.49 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.17/0.49 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.17/0.49 # Preprocessing time : 0.006 s
% 0.17/0.49 # Presaturation interreduction done
% 0.17/0.49
% 0.17/0.49 # Proof found!
% 0.17/0.49 # SZS status Unsatisfiable
% 0.17/0.49 # SZS output start CNFRefutation
% See solution above
% 0.17/0.49 # Parsed axioms : 113
% 0.17/0.49 # Removed by relevancy pruning/SinE : 0
% 0.17/0.49 # Initial clauses : 113
% 0.17/0.49 # Removed in clause preprocessing : 17
% 0.17/0.49 # Initial clauses in saturation : 96
% 0.17/0.49 # Processed clauses : 167
% 0.17/0.49 # ...of these trivial : 0
% 0.17/0.49 # ...subsumed : 1
% 0.17/0.49 # ...remaining for further processing : 166
% 0.17/0.49 # Other redundant clauses eliminated : 4
% 0.17/0.49 # Clauses deleted for lack of memory : 0
% 0.17/0.49 # Backward-subsumed : 1
% 0.17/0.49 # Backward-rewritten : 1
% 0.17/0.49 # Generated clauses : 88
% 0.17/0.49 # ...of the previous two non-redundant : 74
% 0.17/0.49 # ...aggressively subsumed : 0
% 0.17/0.49 # Contextual simplify-reflections : 0
% 0.17/0.49 # Paramodulations : 84
% 0.17/0.49 # Factorizations : 0
% 0.17/0.49 # NegExts : 0
% 0.17/0.49 # Equation resolutions : 4
% 0.17/0.49 # Total rewrite steps : 6
% 0.17/0.49 # Propositional unsat checks : 0
% 0.17/0.49 # Propositional check models : 0
% 0.17/0.49 # Propositional check unsatisfiable : 0
% 0.17/0.49 # Propositional clauses : 0
% 0.17/0.49 # Propositional clauses after purity: 0
% 0.17/0.49 # Propositional unsat core size : 0
% 0.17/0.49 # Propositional preprocessing time : 0.000
% 0.17/0.49 # Propositional encoding time : 0.000
% 0.17/0.49 # Propositional solver time : 0.000
% 0.17/0.49 # Success case prop preproc time : 0.000
% 0.17/0.49 # Success case prop encoding time : 0.000
% 0.17/0.49 # Success case prop solver time : 0.000
% 0.17/0.49 # Current number of processed clauses : 65
% 0.17/0.49 # Positive orientable unit clauses : 20
% 0.17/0.49 # Positive unorientable unit clauses: 0
% 0.17/0.49 # Negative unit clauses : 1
% 0.17/0.49 # Non-unit-clauses : 44
% 0.17/0.49 # Current number of unprocessed clauses: 97
% 0.17/0.49 # ...number of literals in the above : 235
% 0.17/0.49 # Current number of archived formulas : 0
% 0.17/0.49 # Current number of archived clauses : 114
% 0.17/0.49 # Clause-clause subsumption calls (NU) : 1481
% 0.17/0.49 # Rec. Clause-clause subsumption calls : 721
% 0.17/0.49 # Non-unit clause-clause subsumptions : 2
% 0.17/0.49 # Unit Clause-clause subsumption calls : 4
% 0.17/0.49 # Rewrite failures with RHS unbound : 0
% 0.17/0.49 # BW rewrite match attempts : 8
% 0.17/0.49 # BW rewrite match successes : 2
% 0.17/0.49 # Condensation attempts : 0
% 0.17/0.49 # Condensation successes : 0
% 0.17/0.49 # Termbank termtop insertions : 7834
% 0.17/0.49
% 0.17/0.49 # -------------------------------------------------
% 0.17/0.49 # User time : 0.011 s
% 0.17/0.49 # System time : 0.011 s
% 0.17/0.49 # Total time : 0.021 s
% 0.17/0.49 # Maximum resident set size: 2000 pages
% 0.17/0.49
% 0.17/0.49 # -------------------------------------------------
% 0.17/0.49 # User time : 0.063 s
% 0.17/0.49 # System time : 0.032 s
% 0.17/0.49 # Total time : 0.095 s
% 0.17/0.49 # Maximum resident set size: 1772 pages
% 0.17/0.49 % E---3.1 exiting
% 0.17/0.49 % E---3.1 exiting
%------------------------------------------------------------------------------