TSTP Solution File: SET054+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET054+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n007.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 00:48:23 EDT 2022
% Result : Theorem 0.25s 1.42s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 18 ( 5 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 17 ( 8 ~; 5 |; 3 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 11 ( 2 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(reflexivity_of_subclass,conjecture,
! [X1] : subclass(X1,X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',reflexivity_of_subclass) ).
fof(extensionality,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subclass(X1,X2)
& subclass(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',extensionality) ).
fof(c_0_2,negated_conjecture,
~ ! [X1] : subclass(X1,X1),
inference(assume_negation,[status(cth)],[reflexivity_of_subclass]) ).
fof(c_0_3,plain,
! [X3,X4,X3,X4] :
( ( subclass(X3,X4)
| X3 != X4 )
& ( subclass(X4,X3)
| X3 != X4 )
& ( ~ subclass(X3,X4)
| ~ subclass(X4,X3)
| X3 = X4 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[extensionality])])])])]) ).
fof(c_0_4,negated_conjecture,
~ subclass(esk1_0,esk1_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
cnf(c_0_5,plain,
( subclass(X2,X1)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
~ subclass(esk1_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
subclass(X1,X1),
inference(er,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET054+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.08/0.13 % Command : run_ET %s %d
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jul 11 01:26:37 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.25/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.42 # Preprocessing time : 0.015 s
% 0.25/1.42
% 0.25/1.42 # Proof found!
% 0.25/1.42 # SZS status Theorem
% 0.25/1.42 # SZS output start CNFRefutation
% See solution above
% 0.25/1.42 # Proof object total steps : 9
% 0.25/1.42 # Proof object clause steps : 4
% 0.25/1.42 # Proof object formula steps : 5
% 0.25/1.42 # Proof object conjectures : 5
% 0.25/1.42 # Proof object clause conjectures : 2
% 0.25/1.42 # Proof object formula conjectures : 3
% 0.25/1.42 # Proof object initial clauses used : 2
% 0.25/1.42 # Proof object initial formulas used : 2
% 0.25/1.42 # Proof object generating inferences : 0
% 0.25/1.43 # Proof object simplifying inferences : 3
% 0.25/1.43 # Training examples: 0 positive, 0 negative
% 0.25/1.43 # Parsed axioms : 44
% 0.25/1.43 # Removed by relevancy pruning/SinE : 40
% 0.25/1.43 # Initial clauses : 8
% 0.25/1.43 # Removed in clause preprocessing : 0
% 0.25/1.43 # Initial clauses in saturation : 8
% 0.25/1.43 # Processed clauses : 10
% 0.25/1.43 # ...of these trivial : 0
% 0.25/1.43 # ...subsumed : 0
% 0.25/1.43 # ...remaining for further processing : 10
% 0.25/1.43 # Other redundant clauses eliminated : 2
% 0.25/1.43 # Clauses deleted for lack of memory : 0
% 0.25/1.43 # Backward-subsumed : 0
% 0.25/1.43 # Backward-rewritten : 1
% 0.25/1.43 # Generated clauses : 6
% 0.25/1.43 # ...of the previous two non-trivial : 5
% 0.25/1.43 # Contextual simplify-reflections : 0
% 0.25/1.43 # Paramodulations : 4
% 0.25/1.43 # Factorizations : 0
% 0.25/1.43 # Equation resolutions : 2
% 0.25/1.43 # Current number of processed clauses : 7
% 0.25/1.43 # Positive orientable unit clauses : 2
% 0.25/1.43 # Positive unorientable unit clauses: 0
% 0.25/1.43 # Negative unit clauses : 0
% 0.25/1.43 # Non-unit-clauses : 5
% 0.25/1.43 # Current number of unprocessed clauses: 3
% 0.25/1.43 # ...number of literals in the above : 4
% 0.25/1.43 # Current number of archived formulas : 0
% 0.25/1.43 # Current number of archived clauses : 1
% 0.25/1.43 # Clause-clause subsumption calls (NU) : 1
% 0.25/1.43 # Rec. Clause-clause subsumption calls : 1
% 0.25/1.43 # Non-unit clause-clause subsumptions : 0
% 0.25/1.43 # Unit Clause-clause subsumption calls : 2
% 0.25/1.43 # Rewrite failures with RHS unbound : 0
% 0.25/1.43 # BW rewrite match attempts : 6
% 0.25/1.43 # BW rewrite match successes : 1
% 0.25/1.43 # Condensation attempts : 0
% 0.25/1.43 # Condensation successes : 0
% 0.25/1.43 # Termbank termtop insertions : 868
% 0.25/1.43
% 0.25/1.43 # -------------------------------------------------
% 0.25/1.43 # User time : 0.014 s
% 0.25/1.43 # System time : 0.001 s
% 0.25/1.43 # Total time : 0.015 s
% 0.25/1.43 # Maximum resident set size: 2752 pages
%------------------------------------------------------------------------------