TSTP Solution File: SET090+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET090+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n009.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 00:48:59 EDT 2022
% Result : Theorem 0.24s 1.43s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 15 unt; 0 def)
% Number of atoms : 58 ( 29 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 45 ( 18 ~; 15 |; 7 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ordered_pair_defn,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(singleton(X1),unordered_pair(X1,singleton(X2))),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',ordered_pair_defn) ).
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(member_of_singleton,conjecture,
! [X1,X3] :
( ( member(X3,universal_class)
& X1 = singleton(X3) )
=> member_of(X1) = X3 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',member_of_singleton) ).
fof(first_second,axiom,
! [X1,X2] :
( ( member(X1,universal_class)
& member(X2,universal_class) )
=> ( first(ordered_pair(X1,X2)) = X1
& second(ordered_pair(X1,X2)) = X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',first_second) ).
fof(member_singleton_universal,axiom,
! [X2] :
( member(X2,universal_class)
=> member(member_of(singleton(X2)),universal_class) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',member_singleton_universal) ).
fof(member_singleton_singleton,axiom,
! [X2] :
( member(X2,universal_class)
=> singleton(member_of(singleton(X2))) = singleton(X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',member_singleton_singleton) ).
fof(c_0_6,plain,
! [X3,X4] : ordered_pair(X3,X4) = unordered_pair(singleton(X3),unordered_pair(X3,singleton(X4))),
inference(variable_rename,[status(thm)],[ordered_pair_defn]) ).
fof(c_0_7,plain,
! [X2] : singleton(X2) = unordered_pair(X2,X2),
inference(variable_rename,[status(thm)],[singleton_set_defn]) ).
fof(c_0_8,negated_conjecture,
~ ! [X1,X3] :
( ( member(X3,universal_class)
& X1 = singleton(X3) )
=> member_of(X1) = X3 ),
inference(assume_negation,[status(cth)],[member_of_singleton]) ).
fof(c_0_9,plain,
! [X3,X4] :
( ( first(ordered_pair(X3,X4)) = X3
| ~ member(X3,universal_class)
| ~ member(X4,universal_class) )
& ( second(ordered_pair(X3,X4)) = X4
| ~ member(X3,universal_class)
| ~ member(X4,universal_class) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[first_second])])]) ).
cnf(c_0_10,plain,
ordered_pair(X1,X2) = unordered_pair(singleton(X1),unordered_pair(X1,singleton(X2))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
singleton(X1) = unordered_pair(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_12,negated_conjecture,
( member(esk9_0,universal_class)
& esk8_0 = singleton(esk9_0)
& member_of(esk8_0) != esk9_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_13,plain,
! [X3] :
( ~ member(X3,universal_class)
| member(member_of(singleton(X3)),universal_class) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[member_singleton_universal])]) ).
fof(c_0_14,plain,
! [X3] :
( ~ member(X3,universal_class)
| singleton(member_of(singleton(X3))) = singleton(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[member_singleton_singleton])]) ).
cnf(c_0_15,plain,
( second(ordered_pair(X2,X1)) = X1
| ~ member(X1,universal_class)
| ~ member(X2,universal_class) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_11]) ).
cnf(c_0_17,negated_conjecture,
esk8_0 = singleton(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( member(member_of(singleton(X1)),universal_class)
| ~ member(X1,universal_class) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( singleton(member_of(singleton(X1))) = singleton(X1)
| ~ member(X1,universal_class) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( second(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1)))) = X1
| ~ member(X2,universal_class)
| ~ member(X1,universal_class) ),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
member(esk9_0,universal_class),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,negated_conjecture,
esk8_0 = unordered_pair(esk9_0,esk9_0),
inference(rw,[status(thm)],[c_0_17,c_0_11]) ).
cnf(c_0_23,plain,
( member(member_of(unordered_pair(X1,X1)),universal_class)
| ~ member(X1,universal_class) ),
inference(rw,[status(thm)],[c_0_18,c_0_11]) ).
cnf(c_0_24,plain,
( unordered_pair(member_of(unordered_pair(X1,X1)),member_of(unordered_pair(X1,X1))) = unordered_pair(X1,X1)
| ~ member(X1,universal_class) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_11]),c_0_11]),c_0_11]) ).
cnf(c_0_25,negated_conjecture,
( second(unordered_pair(esk8_0,unordered_pair(esk9_0,unordered_pair(X1,X1)))) = X1
| ~ member(X1,universal_class) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_26,negated_conjecture,
member(member_of(esk8_0),universal_class),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_22]),c_0_21])]) ).
cnf(c_0_27,negated_conjecture,
unordered_pair(member_of(esk8_0),member_of(esk8_0)) = esk8_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_21]),c_0_22]),c_0_22]),c_0_22]) ).
cnf(c_0_28,negated_conjecture,
second(unordered_pair(esk8_0,unordered_pair(esk9_0,esk8_0))) = esk9_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_21]),c_0_22]) ).
cnf(c_0_29,negated_conjecture,
member_of(esk8_0) != esk9_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET090+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jul 9 21:37:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.24/1.43 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.24/1.43 # Preprocessing time : 0.020 s
% 0.24/1.43
% 0.24/1.43 # Proof found!
% 0.24/1.43 # SZS status Theorem
% 0.24/1.43 # SZS output start CNFRefutation
% See solution above
% 0.24/1.43 # Proof object total steps : 31
% 0.24/1.43 # Proof object clause steps : 18
% 0.24/1.43 # Proof object formula steps : 13
% 0.24/1.43 # Proof object conjectures : 12
% 0.24/1.43 # Proof object clause conjectures : 9
% 0.24/1.43 # Proof object formula conjectures : 3
% 0.24/1.43 # Proof object initial clauses used : 8
% 0.24/1.43 # Proof object initial formulas used : 6
% 0.24/1.43 # Proof object generating inferences : 5
% 0.24/1.43 # Proof object simplifying inferences : 18
% 0.24/1.43 # Training examples: 0 positive, 0 negative
% 0.24/1.43 # Parsed axioms : 48
% 0.24/1.43 # Removed by relevancy pruning/SinE : 0
% 0.24/1.43 # Initial clauses : 96
% 0.24/1.43 # Removed in clause preprocessing : 8
% 0.24/1.43 # Initial clauses in saturation : 88
% 0.24/1.43 # Processed clauses : 596
% 0.24/1.43 # ...of these trivial : 17
% 0.24/1.43 # ...subsumed : 157
% 0.24/1.43 # ...remaining for further processing : 421
% 0.24/1.43 # Other redundant clauses eliminated : 10
% 0.24/1.43 # Clauses deleted for lack of memory : 0
% 0.24/1.43 # Backward-subsumed : 17
% 0.24/1.43 # Backward-rewritten : 31
% 0.24/1.43 # Generated clauses : 5735
% 0.24/1.43 # ...of the previous two non-trivial : 5385
% 0.24/1.43 # Contextual simplify-reflections : 42
% 0.24/1.43 # Paramodulations : 5703
% 0.24/1.43 # Factorizations : 17
% 0.24/1.43 # Equation resolutions : 15
% 0.24/1.43 # Current number of processed clauses : 369
% 0.24/1.43 # Positive orientable unit clauses : 35
% 0.24/1.43 # Positive unorientable unit clauses: 0
% 0.24/1.43 # Negative unit clauses : 12
% 0.24/1.43 # Non-unit-clauses : 322
% 0.24/1.43 # Current number of unprocessed clauses: 4401
% 0.24/1.43 # ...number of literals in the above : 13562
% 0.24/1.43 # Current number of archived formulas : 0
% 0.24/1.43 # Current number of archived clauses : 56
% 0.24/1.43 # Clause-clause subsumption calls (NU) : 9163
% 0.24/1.43 # Rec. Clause-clause subsumption calls : 7121
% 0.24/1.43 # Non-unit clause-clause subsumptions : 155
% 0.24/1.43 # Unit Clause-clause subsumption calls : 1153
% 0.24/1.43 # Rewrite failures with RHS unbound : 0
% 0.24/1.43 # BW rewrite match attempts : 113
% 0.24/1.43 # BW rewrite match successes : 4
% 0.24/1.43 # Condensation attempts : 0
% 0.24/1.43 # Condensation successes : 0
% 0.24/1.43 # Termbank termtop insertions : 126869
% 0.24/1.43
% 0.24/1.43 # -------------------------------------------------
% 0.24/1.43 # User time : 0.114 s
% 0.24/1.43 # System time : 0.006 s
% 0.24/1.43 # Total time : 0.120 s
% 0.24/1.43 # Maximum resident set size: 8392 pages
% 0.24/23.42 eprover: CPU time limit exceeded, terminating
% 0.24/23.42 eprover: CPU time limit exceeded, terminating
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------