TSTP Solution File: SET093+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET093+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 : 600s
% DateTime : Tue Jul 19 00:49:02 EDT 2022
% Result : Theorem 0.11s 1.30s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 10 unt; 0 def)
% Number of atoms : 16 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 3 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 2 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(corollary_2_to_singletons_are_sets,conjecture,
! [X1] :
( singleton(member_of(X1)) = X1
=> member(X1,universal_class) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',corollary_2_to_singletons_are_sets) ).
fof(singleton_set_defn,axiom,
! [X1] : singleton(X1) = unordered_pair(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).
fof(unordered_pair,axiom,
! [X1,X2] : member(unordered_pair(X1,X2),universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',unordered_pair) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] :
( singleton(member_of(X1)) = X1
=> member(X1,universal_class) ),
inference(assume_negation,[status(cth)],[corollary_2_to_singletons_are_sets]) ).
fof(c_0_4,negated_conjecture,
( singleton(member_of(esk8_0)) = esk8_0
& ~ member(esk8_0,universal_class) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_5,plain,
! [X2] : singleton(X2) = unordered_pair(X2,X2),
inference(variable_rename,[status(thm)],[singleton_set_defn]) ).
fof(c_0_6,plain,
! [X3,X4] : member(unordered_pair(X3,X4),universal_class),
inference(variable_rename,[status(thm)],[unordered_pair]) ).
cnf(c_0_7,negated_conjecture,
singleton(member_of(esk8_0)) = esk8_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
singleton(X1) = unordered_pair(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
member(unordered_pair(X1,X2),universal_class),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
unordered_pair(member_of(esk8_0),member_of(esk8_0)) = esk8_0,
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
~ member(esk8_0,universal_class),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SET093+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.00/0.07 % Command : run_ET %s %d
% 0.07/0.26 % Computer : n020.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Sun Jul 10 01:24:28 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.11/1.30 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.11/1.30 # Preprocessing time : 0.011 s
% 0.11/1.30
% 0.11/1.30 # Proof found!
% 0.11/1.30 # SZS status Theorem
% 0.11/1.30 # SZS output start CNFRefutation
% See solution above
% 0.11/1.30 # Proof object total steps : 13
% 0.11/1.30 # Proof object clause steps : 6
% 0.11/1.30 # Proof object formula steps : 7
% 0.11/1.30 # Proof object conjectures : 7
% 0.11/1.30 # Proof object clause conjectures : 4
% 0.11/1.30 # Proof object formula conjectures : 3
% 0.11/1.30 # Proof object initial clauses used : 4
% 0.11/1.30 # Proof object initial formulas used : 3
% 0.11/1.30 # Proof object generating inferences : 1
% 0.11/1.30 # Proof object simplifying inferences : 2
% 0.11/1.30 # Training examples: 0 positive, 0 negative
% 0.11/1.30 # Parsed axioms : 48
% 0.11/1.30 # Removed by relevancy pruning/SinE : 0
% 0.11/1.30 # Initial clauses : 95
% 0.11/1.30 # Removed in clause preprocessing : 8
% 0.11/1.30 # Initial clauses in saturation : 87
% 0.11/1.30 # Processed clauses : 9
% 0.11/1.30 # ...of these trivial : 0
% 0.11/1.30 # ...subsumed : 0
% 0.11/1.30 # ...remaining for further processing : 9
% 0.11/1.30 # Other redundant clauses eliminated : 0
% 0.11/1.30 # Clauses deleted for lack of memory : 0
% 0.11/1.30 # Backward-subsumed : 0
% 0.11/1.30 # Backward-rewritten : 0
% 0.11/1.30 # Generated clauses : 2
% 0.11/1.30 # ...of the previous two non-trivial : 0
% 0.11/1.30 # Contextual simplify-reflections : 0
% 0.11/1.30 # Paramodulations : 2
% 0.11/1.30 # Factorizations : 0
% 0.11/1.30 # Equation resolutions : 0
% 0.11/1.30 # Current number of processed clauses : 9
% 0.11/1.30 # Positive orientable unit clauses : 6
% 0.11/1.30 # Positive unorientable unit clauses: 0
% 0.11/1.30 # Negative unit clauses : 2
% 0.11/1.30 # Non-unit-clauses : 1
% 0.11/1.30 # Current number of unprocessed clauses: 78
% 0.11/1.30 # ...number of literals in the above : 177
% 0.11/1.30 # Current number of archived formulas : 0
% 0.11/1.30 # Current number of archived clauses : 8
% 0.11/1.30 # Clause-clause subsumption calls (NU) : 0
% 0.11/1.30 # Rec. Clause-clause subsumption calls : 0
% 0.11/1.30 # Non-unit clause-clause subsumptions : 0
% 0.11/1.30 # Unit Clause-clause subsumption calls : 1
% 0.11/1.30 # Rewrite failures with RHS unbound : 0
% 0.11/1.30 # BW rewrite match attempts : 0
% 0.11/1.30 # BW rewrite match successes : 0
% 0.11/1.30 # Condensation attempts : 0
% 0.11/1.30 # Condensation successes : 0
% 0.11/1.30 # Termbank termtop insertions : 5530
% 0.11/1.30
% 0.11/1.30 # -------------------------------------------------
% 0.11/1.30 # User time : 0.009 s
% 0.11/1.30 # System time : 0.002 s
% 0.11/1.30 # Total time : 0.011 s
% 0.11/1.30 # Maximum resident set size: 3104 pages
% 0.11/23.30 eprover: CPU time limit exceeded, terminating
% 0.11/23.30 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.11/23.30 eprover: No such file or directory
% 0.11/23.31 eprover: CPU time limit exceeded, terminating
% 0.11/23.31 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.11/23.31 eprover: No such file or directory
% 0.11/23.31 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.11/23.31 eprover: No such file or directory
% 0.11/23.31 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.11/23.31 eprover: No such file or directory
% 0.11/23.32 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.11/23.32 eprover: No such file or directory
% 0.11/23.32 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.11/23.32 eprover: No such file or directory
% 0.11/23.32 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.11/23.32 eprover: No such file or directory
% 0.11/23.33 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.11/23.33 eprover: No such file or directory
% 0.11/23.33 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.11/23.33 eprover: No such file or directory
% 0.11/23.33 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.11/23.33 eprover: No such file or directory
% 0.11/23.33 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.11/23.33 eprover: No such file or directory
% 0.11/23.33 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.11/23.33 eprover: No such file or directory
% 0.11/23.34 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.11/23.34 eprover: No such file or directory
% 0.11/23.34 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.11/23.34 eprover: No such file or directory
% 0.11/23.34 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.11/23.34 eprover: No such file or directory
% 0.11/23.34 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.11/23.34 eprover: No such file or directory
% 0.11/23.34 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.11/23.34 eprover: No such file or directory
% 0.11/23.35 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.11/23.35 eprover: No such file or directory
% 0.11/23.35 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.11/23.35 eprover: No such file or directory
% 0.11/23.36 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.11/23.36 eprover: No such file or directory
% 0.11/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.11/23.37 eprover: No such file or directory
% 0.11/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.11/23.37 eprover: No such file or directory
%------------------------------------------------------------------------------