TSTP Solution File: SET091+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET091+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.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 00:49:00 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 36 ( 27 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 33 ( 14 ~; 11 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 17 ( 0 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(member_when_not_a_singleton,conjecture,
! [X1,X3] :
( ( ~ ? [X2] :
( member(X2,universal_class)
& X1 = singleton(X2) )
& X1 = X3 )
=> member_of(X1) = X3 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',member_when_not_a_singleton) ).
fof(member_universal_self,axiom,
! [X1] :
( member(member_of(X1),universal_class)
| member_of(X1) = X1 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',member_universal_self) ).
fof(singleton_self,axiom,
! [X1] :
( singleton(member_of(X1)) = X1
| member_of(X1) = X1 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',singleton_self) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X3] :
( ( ~ ? [X2] :
( member(X2,universal_class)
& X1 = singleton(X2) )
& X1 = X3 )
=> member_of(X1) = X3 ),
inference(assume_negation,[status(cth)],[member_when_not_a_singleton]) ).
fof(c_0_4,negated_conjecture,
! [X6] :
( ( ~ member(X6,universal_class)
| esk1_0 != singleton(X6) )
& esk1_0 = esk2_0
& member_of(esk1_0) != esk2_0 ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])]) ).
cnf(c_0_5,negated_conjecture,
( esk1_0 != singleton(X1)
| ~ member(X1,universal_class) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_6,negated_conjecture,
esk1_0 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_7,plain,
! [X2] :
( member(member_of(X2),universal_class)
| member_of(X2) = X2 ),
inference(variable_rename,[status(thm)],[member_universal_self]) ).
cnf(c_0_8,negated_conjecture,
( singleton(X1) != esk2_0
| ~ member(X1,universal_class) ),
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,plain,
( member_of(X1) = X1
| member(member_of(X1),universal_class) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X2] :
( singleton(member_of(X2)) = X2
| member_of(X2) = X2 ),
inference(variable_rename,[status(thm)],[singleton_self]) ).
cnf(c_0_11,negated_conjecture,
member_of(esk1_0) != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
( member_of(X1) = X1
| singleton(member_of(X1)) != esk2_0 ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( member_of(X1) = X1
| singleton(member_of(X1)) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
member_of(esk2_0) != esk2_0,
inference(rw,[status(thm)],[c_0_11,c_0_6]) ).
cnf(c_0_15,negated_conjecture,
( member_of(X1) = X1
| X1 != esk2_0 ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_14,c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET091+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 10 09:52:17 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42 # Preprocessing time : 0.015 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 17
% 0.24/1.42 # Proof object clause steps : 10
% 0.24/1.42 # Proof object formula steps : 7
% 0.24/1.42 # Proof object conjectures : 11
% 0.24/1.42 # Proof object clause conjectures : 8
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 5
% 0.24/1.42 # Proof object initial formulas used : 3
% 0.24/1.42 # Proof object generating inferences : 3
% 0.24/1.42 # Proof object simplifying inferences : 2
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 48
% 0.24/1.42 # Removed by relevancy pruning/SinE : 43
% 0.24/1.42 # Initial clauses : 7
% 0.24/1.42 # Removed in clause preprocessing : 0
% 0.24/1.42 # Initial clauses in saturation : 7
% 0.24/1.42 # Processed clauses : 11
% 0.24/1.42 # ...of these trivial : 0
% 0.24/1.42 # ...subsumed : 0
% 0.24/1.42 # ...remaining for further processing : 11
% 0.24/1.42 # Other redundant clauses eliminated : 0
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 0
% 0.24/1.42 # Backward-rewritten : 1
% 0.24/1.42 # Generated clauses : 10
% 0.24/1.42 # ...of the previous two non-trivial : 9
% 0.24/1.42 # Contextual simplify-reflections : 0
% 0.24/1.42 # Paramodulations : 10
% 0.24/1.42 # Factorizations : 0
% 0.24/1.42 # Equation resolutions : 0
% 0.24/1.42 # Current number of processed clauses : 10
% 0.24/1.42 # Positive orientable unit clauses : 1
% 0.24/1.42 # Positive unorientable unit clauses: 0
% 0.24/1.42 # Negative unit clauses : 1
% 0.24/1.42 # Non-unit-clauses : 8
% 0.24/1.42 # Current number of unprocessed clauses: 5
% 0.24/1.42 # ...number of literals in the above : 11
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 1
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 5
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 5
% 0.24/1.42 # Non-unit clause-clause subsumptions : 0
% 0.24/1.42 # Unit Clause-clause subsumption calls : 0
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 1
% 0.24/1.42 # BW rewrite match successes : 1
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 958
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.014 s
% 0.24/1.42 # System time : 0.002 s
% 0.24/1.42 # Total time : 0.016 s
% 0.24/1.42 # Maximum resident set size: 2752 pages
%------------------------------------------------------------------------------