TSTP Solution File: SEU382+2 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SEU382+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n022.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 09:19:32 EDT 2022

% Result   : Theorem 0.31s 1.50s
% Output   : CNFRefutation 0.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (  10 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   0   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-1 aty)
%            Number of variables   :    9 (   1 sgn   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t4_waybel_7,conjecture,
    ! [X1] : the_carrier(boole_POSet(X1)) = powerset(X1),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t4_waybel_7) ).

fof(t4_yellow_1,lemma,
    ! [X1] : boole_POSet(X1) = incl_POSet(powerset(X1)),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t4_yellow_1) ).

fof(t1_yellow_1,lemma,
    ! [X1] :
      ( the_carrier(incl_POSet(X1)) = X1
      & the_InternalRel(incl_POSet(X1)) = inclusion_order(X1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_yellow_1) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1] : the_carrier(boole_POSet(X1)) = powerset(X1),
    inference(assume_negation,[status(cth)],[t4_waybel_7]) ).

fof(c_0_4,negated_conjecture,
    the_carrier(boole_POSet(esk522_0)) != powerset(esk522_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

fof(c_0_5,lemma,
    ! [X2] : boole_POSet(X2) = incl_POSet(powerset(X2)),
    inference(variable_rename,[status(thm)],[t4_yellow_1]) ).

cnf(c_0_6,negated_conjecture,
    the_carrier(boole_POSet(esk522_0)) != powerset(esk522_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,lemma,
    boole_POSet(X1) = incl_POSet(powerset(X1)),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_8,lemma,
    ! [X2,X2] :
      ( the_carrier(incl_POSet(X2)) = X2
      & the_InternalRel(incl_POSet(X2)) = inclusion_order(X2) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[t1_yellow_1])])]) ).

cnf(c_0_9,negated_conjecture,
    the_carrier(incl_POSet(powerset(esk522_0))) != powerset(esk522_0),
    inference(rw,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,lemma,
    the_carrier(incl_POSet(X1)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SEU382+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13  % Command  : run_ET %s %d
% 0.13/0.35  % Computer : n022.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 : Mon Jun 20 08:23:01 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.31/1.50  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.31/1.50  # Preprocessing time       : 0.226 s
% 0.31/1.50  
% 0.31/1.50  # Proof found!
% 0.31/1.50  # SZS status Theorem
% 0.31/1.50  # SZS output start CNFRefutation
% See solution above
% 0.31/1.50  # Proof object total steps             : 12
% 0.31/1.50  # Proof object clause steps            : 5
% 0.31/1.50  # Proof object formula steps           : 7
% 0.31/1.50  # Proof object conjectures             : 6
% 0.31/1.50  # Proof object clause conjectures      : 3
% 0.31/1.50  # Proof object formula conjectures     : 3
% 0.31/1.50  # Proof object initial clauses used    : 3
% 0.31/1.50  # Proof object initial formulas used   : 3
% 0.31/1.50  # Proof object generating inferences   : 0
% 0.31/1.50  # Proof object simplifying inferences  : 3
% 0.31/1.50  # Training examples: 0 positive, 0 negative
% 0.31/1.50  # Parsed axioms                        : 843
% 0.31/1.50  # Removed by relevancy pruning/SinE    : 0
% 0.31/1.50  # Initial clauses                      : 3775
% 0.31/1.50  # Removed in clause preprocessing      : 145
% 0.31/1.50  # Initial clauses in saturation        : 3630
% 0.31/1.50  # Processed clauses                    : 4
% 0.31/1.50  # ...of these trivial                  : 0
% 0.31/1.50  # ...subsumed                          : 0
% 0.31/1.50  # ...remaining for further processing  : 3
% 0.31/1.50  # Other redundant clauses eliminated   : 0
% 0.31/1.50  # Clauses deleted for lack of memory   : 0
% 0.31/1.50  # Backward-subsumed                    : 0
% 0.31/1.50  # Backward-rewritten                   : 0
% 0.31/1.50  # Generated clauses                    : 0
% 0.31/1.50  # ...of the previous two non-trivial   : 0
% 0.31/1.50  # Contextual simplify-reflections      : 0
% 0.31/1.50  # Paramodulations                      : 0
% 0.31/1.50  # Factorizations                       : 0
% 0.31/1.50  # Equation resolutions                 : 0
% 0.31/1.50  # Current number of processed clauses  : 3
% 0.31/1.50  #    Positive orientable unit clauses  : 3
% 0.31/1.50  #    Positive unorientable unit clauses: 0
% 0.31/1.50  #    Negative unit clauses             : 0
% 0.31/1.50  #    Non-unit-clauses                  : 0
% 0.31/1.50  # Current number of unprocessed clauses: 3626
% 0.31/1.50  # ...number of literals in the above   : 16864
% 0.31/1.50  # Current number of archived formulas  : 0
% 0.31/1.50  # Current number of archived clauses   : 10
% 0.31/1.50  # Clause-clause subsumption calls (NU) : 0
% 0.31/1.50  # Rec. Clause-clause subsumption calls : 0
% 0.31/1.50  # Non-unit clause-clause subsumptions  : 0
% 0.31/1.50  # Unit Clause-clause subsumption calls : 0
% 0.31/1.50  # Rewrite failures with RHS unbound    : 0
% 0.31/1.50  # BW rewrite match attempts            : 0
% 0.31/1.50  # BW rewrite match successes           : 0
% 0.31/1.50  # Condensation attempts                : 0
% 0.31/1.50  # Condensation successes               : 0
% 0.31/1.50  # Termbank termtop insertions          : 226822
% 0.31/1.50  
% 0.31/1.50  # -------------------------------------------------
% 0.31/1.50  # User time                : 0.222 s
% 0.31/1.50  # System time              : 0.006 s
% 0.31/1.50  # Total time               : 0.228 s
% 0.31/1.50  # Maximum resident set size: 14312 pages
% 0.31/23.49  eprover: CPU time limit exceeded, terminating
% 0.31/23.49  eprover: CPU time limit exceeded, terminating
% 0.31/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.50  eprover: No such file or directory
% 0.31/23.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.51  eprover: No such file or directory
% 0.31/23.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.51  eprover: No such file or directory
% 0.31/23.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.52  eprover: No such file or directory
% 0.31/23.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.52  eprover: No such file or directory
% 0.31/23.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.52  eprover: No such file or directory
% 0.31/23.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.52  eprover: No such file or directory
% 0.31/23.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.53  eprover: No such file or directory
% 0.31/23.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.53  eprover: No such file or directory
% 0.31/23.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.53  eprover: No such file or directory
% 0.31/23.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.54  eprover: No such file or directory
% 0.31/23.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.54  eprover: No such file or directory
% 0.31/23.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.54  eprover: No such file or directory
% 0.31/23.55  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.55  eprover: No such file or directory
% 0.31/23.55  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.55  eprover: No such file or directory
% 0.31/23.55  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.55  eprover: No such file or directory
% 0.31/23.55  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.55  eprover: No such file or directory
% 0.31/23.56  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.56  eprover: No such file or directory
% 0.31/23.56  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.56  eprover: No such file or directory
% 0.31/23.56  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.56  eprover: No such file or directory
% 0.31/23.57  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.57  eprover: No such file or directory
% 0.31/23.57  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.57  eprover: No such file or directory
%------------------------------------------------------------------------------