TSTP Solution File: SET064+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET064+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 19:21:54 EDT 2023
% Result : Theorem 0.15s 0.43s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 21 ( 9 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 18 ( 6 ~; 6 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 10 ( 1 sgn; 5 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(null_class_is_unique,conjecture,
! [X5] :
( X5 = null_class
| ? [X2] : member(X2,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.CNaz3L8R93/E---3.1_10821.p',null_class_is_unique) ).
fof(regularity,axiom,
! [X1] :
( X1 != null_class
=> ? [X3] :
( member(X3,universal_class)
& member(X3,X1)
& disjoint(X3,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.CNaz3L8R93/E---3.1_10821.p',regularity) ).
fof(c_0_2,negated_conjecture,
~ ! [X5] :
( X5 = null_class
| ? [X2] : member(X2,X5) ),
inference(assume_negation,[status(cth)],[null_class_is_unique]) ).
fof(c_0_3,negated_conjecture,
! [X11] :
( esk1_0 != null_class
& ~ member(X11,esk1_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
fof(c_0_4,plain,
! [X26] :
( ( member(esk3_1(X26),universal_class)
| X26 = null_class )
& ( member(esk3_1(X26),X26)
| X26 = null_class )
& ( disjoint(esk3_1(X26),X26)
| X26 = null_class ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[regularity])])])]) ).
cnf(c_0_5,negated_conjecture,
~ member(X1,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( member(esk3_1(X1),X1)
| X1 = null_class ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
esk1_0 != null_class,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET064+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.09/0.10 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n013.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 17:04:14 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.41 Running first-order model finding
% 0.15/0.41 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.CNaz3L8R93/E---3.1_10821.p
% 0.15/0.43 # Version: 3.1pre001
% 0.15/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 # Starting sh5l with 300s (1) cores
% 0.15/0.43 # sh5l with pid 10905 completed with status 0
% 0.15/0.43 # Result found by sh5l
% 0.15/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 # Starting sh5l with 300s (1) cores
% 0.15/0.43 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/0.43 # Search class: FGHSM-FFMS31-MFFFFFNN
% 0.15/0.43 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43 # Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 130s (1) cores
% 0.15/0.43 # G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with pid 10912 completed with status 0
% 0.15/0.43 # Result found by G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y
% 0.15/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 # Starting sh5l with 300s (1) cores
% 0.15/0.43 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/0.43 # Search class: FGHSM-FFMS31-MFFFFFNN
% 0.15/0.43 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43 # Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 130s (1) cores
% 0.15/0.43 # Preprocessing time : 0.002 s
% 0.15/0.43
% 0.15/0.43 # Proof found!
% 0.15/0.43 # SZS status Theorem
% 0.15/0.43 # SZS output start CNFRefutation
% See solution above
% 0.15/0.43 # Parsed axioms : 44
% 0.15/0.43 # Removed by relevancy pruning/SinE : 3
% 0.15/0.43 # Initial clauses : 84
% 0.15/0.43 # Removed in clause preprocessing : 0
% 0.15/0.43 # Initial clauses in saturation : 84
% 0.15/0.43 # Processed clauses : 15
% 0.15/0.43 # ...of these trivial : 0
% 0.15/0.43 # ...subsumed : 0
% 0.15/0.43 # ...remaining for further processing : 15
% 0.15/0.43 # Other redundant clauses eliminated : 2
% 0.15/0.43 # Clauses deleted for lack of memory : 0
% 0.15/0.43 # Backward-subsumed : 0
% 0.15/0.43 # Backward-rewritten : 0
% 0.15/0.43 # Generated clauses : 8
% 0.15/0.43 # ...of the previous two non-redundant : 4
% 0.15/0.43 # ...aggressively subsumed : 0
% 0.15/0.43 # Contextual simplify-reflections : 0
% 0.15/0.43 # Paramodulations : 6
% 0.15/0.43 # Factorizations : 0
% 0.15/0.43 # NegExts : 0
% 0.15/0.43 # Equation resolutions : 2
% 0.15/0.43 # Total rewrite steps : 0
% 0.15/0.43 # Propositional unsat checks : 0
% 0.15/0.43 # Propositional check models : 0
% 0.15/0.43 # Propositional check unsatisfiable : 0
% 0.15/0.43 # Propositional clauses : 0
% 0.15/0.43 # Propositional clauses after purity: 0
% 0.15/0.43 # Propositional unsat core size : 0
% 0.15/0.43 # Propositional preprocessing time : 0.000
% 0.15/0.43 # Propositional encoding time : 0.000
% 0.15/0.43 # Propositional solver time : 0.000
% 0.15/0.43 # Success case prop preproc time : 0.000
% 0.15/0.43 # Success case prop encoding time : 0.000
% 0.15/0.43 # Success case prop solver time : 0.000
% 0.15/0.43 # Current number of processed clauses : 13
% 0.15/0.43 # Positive orientable unit clauses : 5
% 0.15/0.43 # Positive unorientable unit clauses: 0
% 0.15/0.43 # Negative unit clauses : 3
% 0.15/0.43 # Non-unit-clauses : 5
% 0.15/0.43 # Current number of unprocessed clauses: 73
% 0.15/0.43 # ...number of literals in the above : 153
% 0.15/0.43 # Current number of archived formulas : 0
% 0.15/0.43 # Current number of archived clauses : 0
% 0.15/0.43 # Clause-clause subsumption calls (NU) : 2
% 0.15/0.43 # Rec. Clause-clause subsumption calls : 2
% 0.15/0.43 # Non-unit clause-clause subsumptions : 0
% 0.15/0.43 # Unit Clause-clause subsumption calls : 1
% 0.15/0.43 # Rewrite failures with RHS unbound : 0
% 0.15/0.43 # BW rewrite match attempts : 1
% 0.15/0.43 # BW rewrite match successes : 0
% 0.15/0.43 # Condensation attempts : 0
% 0.15/0.43 # Condensation successes : 0
% 0.15/0.43 # Termbank termtop insertions : 3994
% 0.15/0.43
% 0.15/0.43 # -------------------------------------------------
% 0.15/0.43 # User time : 0.007 s
% 0.15/0.43 # System time : 0.001 s
% 0.15/0.43 # Total time : 0.008 s
% 0.15/0.43 # Maximum resident set size: 2004 pages
% 0.15/0.43
% 0.15/0.43 # -------------------------------------------------
% 0.15/0.43 # User time : 0.009 s
% 0.15/0.43 # System time : 0.002 s
% 0.15/0.43 # Total time : 0.011 s
% 0.15/0.43 # Maximum resident set size: 1728 pages
% 0.15/0.43 % E---3.1 exiting
%------------------------------------------------------------------------------