TSTP Solution File: SET583+3 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET583+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:23:00 EDT 2023
% Result : Theorem 0.16s 0.41s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 26 ( 9 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 25 ( 9 ~; 6 |; 7 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn; 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_extensionality,conjecture,
! [X1,X2] :
( ( subset(X1,X2)
& subset(X2,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox/tmp/tmp.UvyNzy9sRo/E---3.1_8305.p',prove_extensionality) ).
fof(equal_defn,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.UvyNzy9sRo/E---3.1_8305.p',equal_defn) ).
fof(c_0_2,negated_conjecture,
~ ! [X1,X2] :
( ( subset(X1,X2)
& subset(X2,X1) )
=> X1 = X2 ),
inference(assume_negation,[status(cth)],[prove_extensionality]) ).
fof(c_0_3,plain,
! [X6,X7] :
( ( subset(X6,X7)
| X6 != X7 )
& ( subset(X7,X6)
| X6 != X7 )
& ( ~ subset(X6,X7)
| ~ subset(X7,X6)
| X6 = X7 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_defn])])]) ).
fof(c_0_4,negated_conjecture,
( subset(esk1_0,esk2_0)
& subset(esk2_0,esk1_0)
& esk1_0 != esk2_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
cnf(c_0_5,plain,
( X1 = X2
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
subset(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
subset(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]),c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SET583+3 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Oct 2 16:26:19 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.40 Running first-order model finding
% 0.16/0.40 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.UvyNzy9sRo/E---3.1_8305.p
% 0.16/0.41 # Version: 3.1pre001
% 0.16/0.41 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.41 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.41 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.41 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.41 # Starting sh5l with 300s (1) cores
% 0.16/0.41 # new_bool_3 with pid 8384 completed with status 0
% 0.16/0.41 # Result found by new_bool_3
% 0.16/0.41 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.41 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.41 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.41 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.41 # Search class: FHUSF-FFSF00-SFFFFFNN
% 0.16/0.41 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.41 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.41 # SAT001_MinMin_p005000_rr_RG with pid 8387 completed with status 0
% 0.16/0.41 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.41 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.41 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.41 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.41 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.41 # Search class: FHUSF-FFSF00-SFFFFFNN
% 0.16/0.41 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.41 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.41 # Preprocessing time : 0.001 s
% 0.16/0.41 # Presaturation interreduction done
% 0.16/0.41
% 0.16/0.41 # Proof found!
% 0.16/0.41 # SZS status Theorem
% 0.16/0.41 # SZS output start CNFRefutation
% See solution above
% 0.16/0.41 # Parsed axioms : 4
% 0.16/0.41 # Removed by relevancy pruning/SinE : 1
% 0.16/0.41 # Initial clauses : 7
% 0.16/0.41 # Removed in clause preprocessing : 0
% 0.16/0.41 # Initial clauses in saturation : 7
% 0.16/0.41 # Processed clauses : 12
% 0.16/0.41 # ...of these trivial : 0
% 0.16/0.41 # ...subsumed : 0
% 0.16/0.41 # ...remaining for further processing : 12
% 0.16/0.41 # Other redundant clauses eliminated : 2
% 0.16/0.41 # Clauses deleted for lack of memory : 0
% 0.16/0.41 # Backward-subsumed : 0
% 0.16/0.41 # Backward-rewritten : 0
% 0.16/0.41 # Generated clauses : 4
% 0.16/0.41 # ...of the previous two non-redundant : 0
% 0.16/0.41 # ...aggressively subsumed : 0
% 0.16/0.41 # Contextual simplify-reflections : 0
% 0.16/0.41 # Paramodulations : 2
% 0.16/0.41 # Factorizations : 0
% 0.16/0.41 # NegExts : 0
% 0.16/0.41 # Equation resolutions : 2
% 0.16/0.41 # Total rewrite steps : 3
% 0.16/0.41 # Propositional unsat checks : 0
% 0.16/0.41 # Propositional check models : 0
% 0.16/0.41 # Propositional check unsatisfiable : 0
% 0.16/0.41 # Propositional clauses : 0
% 0.16/0.41 # Propositional clauses after purity: 0
% 0.16/0.41 # Propositional unsat core size : 0
% 0.16/0.41 # Propositional preprocessing time : 0.000
% 0.16/0.41 # Propositional encoding time : 0.000
% 0.16/0.41 # Propositional solver time : 0.000
% 0.16/0.41 # Success case prop preproc time : 0.000
% 0.16/0.41 # Success case prop encoding time : 0.000
% 0.16/0.41 # Success case prop solver time : 0.000
% 0.16/0.41 # Current number of processed clauses : 5
% 0.16/0.41 # Positive orientable unit clauses : 3
% 0.16/0.41 # Positive unorientable unit clauses: 0
% 0.16/0.41 # Negative unit clauses : 1
% 0.16/0.41 # Non-unit-clauses : 1
% 0.16/0.41 # Current number of unprocessed clauses: 0
% 0.16/0.41 # ...number of literals in the above : 0
% 0.16/0.41 # Current number of archived formulas : 0
% 0.16/0.41 # Current number of archived clauses : 5
% 0.16/0.41 # Clause-clause subsumption calls (NU) : 0
% 0.16/0.41 # Rec. Clause-clause subsumption calls : 0
% 0.16/0.41 # Non-unit clause-clause subsumptions : 0
% 0.16/0.41 # Unit Clause-clause subsumption calls : 0
% 0.16/0.41 # Rewrite failures with RHS unbound : 0
% 0.16/0.41 # BW rewrite match attempts : 2
% 0.16/0.41 # BW rewrite match successes : 0
% 0.16/0.41 # Condensation attempts : 0
% 0.16/0.41 # Condensation successes : 0
% 0.16/0.41 # Termbank termtop insertions : 253
% 0.16/0.41
% 0.16/0.41 # -------------------------------------------------
% 0.16/0.41 # User time : 0.001 s
% 0.16/0.41 # System time : 0.002 s
% 0.16/0.41 # Total time : 0.003 s
% 0.16/0.41 # Maximum resident set size: 1768 pages
% 0.16/0.41
% 0.16/0.41 # -------------------------------------------------
% 0.16/0.41 # User time : 0.001 s
% 0.16/0.41 # System time : 0.004 s
% 0.16/0.41 # Total time : 0.005 s
% 0.16/0.41 # Maximum resident set size: 1672 pages
% 0.16/0.41 % E---3.1 exiting
%------------------------------------------------------------------------------