TSTP Solution File: SET080-6 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET080-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 19:18:23 EDT 2023
% Result : Unsatisfiable 0.17s 0.46s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 19 ( 12 unt; 0 nHn; 13 RR)
% Number of literals : 28 ( 2 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(inductive1,axiom,
( member(null_class,X1)
| ~ inductive(X1) ),
file('/export/starexec/sandbox/tmp/tmp.im84s1JZDh/E---3.1_13423.p',inductive1) ).
cnf(omega_is_inductive1,axiom,
inductive(omega),
file('/export/starexec/sandbox/tmp/tmp.im84s1JZDh/E---3.1_13423.p',omega_is_inductive1) ).
cnf(prove_null_class_in_its_singleton_1,negated_conjecture,
~ member(null_class,singleton(null_class)),
file('/export/starexec/sandbox/tmp/tmp.im84s1JZDh/E---3.1_13423.p',prove_null_class_in_its_singleton_1) ).
cnf(singleton_set,axiom,
unordered_pair(X1,X1) = singleton(X1),
file('/export/starexec/sandbox/tmp/tmp.im84s1JZDh/E---3.1_13423.p',singleton_set) ).
cnf(subclass_members,axiom,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.im84s1JZDh/E---3.1_13423.p',subclass_members) ).
cnf(unordered_pair3,axiom,
( member(X1,unordered_pair(X2,X1))
| ~ member(X1,universal_class) ),
file('/export/starexec/sandbox/tmp/tmp.im84s1JZDh/E---3.1_13423.p',unordered_pair3) ).
cnf(class_elements_are_sets,axiom,
subclass(X1,universal_class),
file('/export/starexec/sandbox/tmp/tmp.im84s1JZDh/E---3.1_13423.p',class_elements_are_sets) ).
cnf(c_0_7,axiom,
( member(null_class,X1)
| ~ inductive(X1) ),
inductive1 ).
cnf(c_0_8,axiom,
inductive(omega),
omega_is_inductive1 ).
cnf(c_0_9,negated_conjecture,
~ member(null_class,singleton(null_class)),
prove_null_class_in_its_singleton_1 ).
cnf(c_0_10,axiom,
unordered_pair(X1,X1) = singleton(X1),
singleton_set ).
cnf(c_0_11,axiom,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
subclass_members ).
cnf(c_0_12,plain,
member(null_class,omega),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,negated_conjecture,
~ member(null_class,unordered_pair(null_class,null_class)),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,axiom,
( member(X1,unordered_pair(X2,X1))
| ~ member(X1,universal_class) ),
unordered_pair3 ).
cnf(c_0_15,plain,
( member(null_class,X1)
| ~ subclass(omega,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,axiom,
subclass(X1,universal_class),
class_elements_are_sets ).
cnf(c_0_17,negated_conjecture,
~ member(null_class,universal_class),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET080-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n007.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 16:53:24 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.im84s1JZDh/E---3.1_13423.p
% 0.17/0.46 # Version: 3.1pre001
% 0.17/0.46 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46 # Starting sh5l with 300s (1) cores
% 0.17/0.46 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 13501 completed with status 0
% 0.17/0.46 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.17/0.46 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.46 # No SInE strategy applied
% 0.17/0.46 # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.17/0.46 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.46 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.17/0.46 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.17/0.46 # Starting new_bool_1 with 308s (1) cores
% 0.17/0.46 # Starting sh5l with 304s (1) cores
% 0.17/0.46 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.17/0.46 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 13508 completed with status 0
% 0.17/0.46 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.17/0.46 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.46 # No SInE strategy applied
% 0.17/0.46 # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.17/0.46 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.46 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.17/0.46 # Preprocessing time : 0.003 s
% 0.17/0.46 # Presaturation interreduction done
% 0.17/0.46
% 0.17/0.46 # Proof found!
% 0.17/0.46 # SZS status Unsatisfiable
% 0.17/0.46 # SZS output start CNFRefutation
% See solution above
% 0.17/0.46 # Parsed axioms : 92
% 0.17/0.46 # Removed by relevancy pruning/SinE : 0
% 0.17/0.46 # Initial clauses : 92
% 0.17/0.46 # Removed in clause preprocessing : 15
% 0.17/0.46 # Initial clauses in saturation : 77
% 0.17/0.46 # Processed clauses : 123
% 0.17/0.46 # ...of these trivial : 0
% 0.17/0.46 # ...subsumed : 1
% 0.17/0.46 # ...remaining for further processing : 122
% 0.17/0.46 # Other redundant clauses eliminated : 3
% 0.17/0.46 # Clauses deleted for lack of memory : 0
% 0.17/0.46 # Backward-subsumed : 0
% 0.17/0.46 # Backward-rewritten : 0
% 0.17/0.46 # Generated clauses : 33
% 0.17/0.46 # ...of the previous two non-redundant : 29
% 0.17/0.46 # ...aggressively subsumed : 0
% 0.17/0.46 # Contextual simplify-reflections : 0
% 0.17/0.46 # Paramodulations : 30
% 0.17/0.46 # Factorizations : 0
% 0.17/0.46 # NegExts : 0
% 0.17/0.46 # Equation resolutions : 3
% 0.17/0.46 # Total rewrite steps : 2
% 0.17/0.46 # Propositional unsat checks : 0
% 0.17/0.46 # Propositional check models : 0
% 0.17/0.46 # Propositional check unsatisfiable : 0
% 0.17/0.46 # Propositional clauses : 0
% 0.17/0.46 # Propositional clauses after purity: 0
% 0.17/0.46 # Propositional unsat core size : 0
% 0.17/0.46 # Propositional preprocessing time : 0.000
% 0.17/0.46 # Propositional encoding time : 0.000
% 0.17/0.46 # Propositional solver time : 0.000
% 0.17/0.46 # Success case prop preproc time : 0.000
% 0.17/0.46 # Success case prop encoding time : 0.000
% 0.17/0.46 # Success case prop solver time : 0.000
% 0.17/0.46 # Current number of processed clauses : 43
% 0.17/0.46 # Positive orientable unit clauses : 11
% 0.17/0.46 # Positive unorientable unit clauses: 0
% 0.17/0.46 # Negative unit clauses : 2
% 0.17/0.46 # Non-unit-clauses : 30
% 0.17/0.46 # Current number of unprocessed clauses: 58
% 0.17/0.46 # ...number of literals in the above : 140
% 0.17/0.46 # Current number of archived formulas : 0
% 0.17/0.46 # Current number of archived clauses : 91
% 0.17/0.46 # Clause-clause subsumption calls (NU) : 1322
% 0.17/0.46 # Rec. Clause-clause subsumption calls : 587
% 0.17/0.46 # Non-unit clause-clause subsumptions : 0
% 0.17/0.46 # Unit Clause-clause subsumption calls : 9
% 0.17/0.46 # Rewrite failures with RHS unbound : 0
% 0.17/0.46 # BW rewrite match attempts : 4
% 0.17/0.46 # BW rewrite match successes : 1
% 0.17/0.46 # Condensation attempts : 0
% 0.17/0.46 # Condensation successes : 0
% 0.17/0.46 # Termbank termtop insertions : 5830
% 0.17/0.46
% 0.17/0.46 # -------------------------------------------------
% 0.17/0.46 # User time : 0.012 s
% 0.17/0.46 # System time : 0.004 s
% 0.17/0.46 # Total time : 0.016 s
% 0.17/0.46 # Maximum resident set size: 1944 pages
% 0.17/0.46
% 0.17/0.46 # -------------------------------------------------
% 0.17/0.46 # User time : 0.057 s
% 0.17/0.46 # System time : 0.010 s
% 0.17/0.46 # Total time : 0.067 s
% 0.17/0.46 # Maximum resident set size: 1756 pages
% 0.17/0.46 % E---3.1 exiting
% 0.17/0.46 % E---3.1 exiting
%------------------------------------------------------------------------------