TSTP Solution File: SEU424+3 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SEU424+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n005.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 09:20:01 EDT 2022

% Result   : Theorem 1.31s 2.49s
% Output   : CNFRefutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   30 (  12   ~;   6   |;   5   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-4 aty)
%            Number of variables   :   20 (   0 sgn  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t18_relset_2,conjecture,
    ! [X1] :
      ( ~ v1_xboole_0(X1)
     => ! [X2,X3] :
          ( m1_subset_1(X3,k1_zfmisc_1(X1))
         => ! [X4] :
              ( m2_relset_1(X4,X1,X2)
             => m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t18_relset_2) ).

fof(s8_domain_1__e1_22__relset_2,axiom,
    ! [X1,X2,X3,X4] :
      ( ( ~ v1_xboole_0(X1)
        & m1_subset_1(X3,k1_zfmisc_1(X1))
        & m2_relset_1(X4,X1,X2) )
     => m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',s8_domain_1__e1_22__relset_2) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X1] :
        ( ~ v1_xboole_0(X1)
       => ! [X2,X3] :
            ( m1_subset_1(X3,k1_zfmisc_1(X1))
           => ! [X4] :
                ( m2_relset_1(X4,X1,X2)
               => m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ) ),
    inference(assume_negation,[status(cth)],[t18_relset_2]) ).

fof(c_0_3,negated_conjecture,
    ( ~ v1_xboole_0(esk1_0)
    & m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0))
    & m2_relset_1(esk4_0,esk1_0,esk2_0)
    & ~ m1_subset_1(a_4_0_relset_2(esk1_0,esk2_0,esk3_0,esk4_0),k1_zfmisc_1(k1_zfmisc_1(esk2_0))) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2])])])])])]) ).

fof(c_0_4,plain,
    ! [X5,X6,X7,X8] :
      ( v1_xboole_0(X5)
      | ~ m1_subset_1(X7,k1_zfmisc_1(X5))
      | ~ m2_relset_1(X8,X5,X6)
      | m1_subset_1(a_4_0_relset_2(X5,X6,X7,X8),k1_zfmisc_1(k1_zfmisc_1(X6))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[s8_domain_1__e1_22__relset_2])])]) ).

cnf(c_0_5,negated_conjecture,
    ~ m1_subset_1(a_4_0_relset_2(esk1_0,esk2_0,esk3_0,esk4_0),k1_zfmisc_1(k1_zfmisc_1(esk2_0))),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    ( m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2)))
    | v1_xboole_0(X1)
    | ~ m2_relset_1(X4,X1,X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    m2_relset_1(esk4_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_8,negated_conjecture,
    m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_9,negated_conjecture,
    ~ v1_xboole_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),c_0_8])]),c_0_9]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU424+3 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 20 07:29:11 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.31/2.49  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 1.31/2.49  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 1.31/2.49  # Preprocessing time       : 0.699 s
% 1.31/2.49  
% 1.31/2.49  # Proof found!
% 1.31/2.49  # SZS status Theorem
% 1.31/2.49  # SZS output start CNFRefutation
% See solution above
% 1.31/2.49  # Proof object total steps             : 11
% 1.31/2.49  # Proof object clause steps            : 6
% 1.31/2.49  # Proof object formula steps           : 5
% 1.31/2.49  # Proof object conjectures             : 8
% 1.31/2.49  # Proof object clause conjectures      : 5
% 1.31/2.49  # Proof object formula conjectures     : 3
% 1.31/2.49  # Proof object initial clauses used    : 5
% 1.31/2.49  # Proof object initial formulas used   : 2
% 1.31/2.49  # Proof object generating inferences   : 1
% 1.31/2.49  # Proof object simplifying inferences  : 4
% 1.31/2.49  # Training examples: 0 positive, 0 negative
% 1.31/2.49  # Parsed axioms                        : 19089
% 1.31/2.49  # Removed by relevancy pruning/SinE    : 18988
% 1.31/2.49  # Initial clauses                      : 204
% 1.31/2.49  # Removed in clause preprocessing      : 5
% 1.31/2.49  # Initial clauses in saturation        : 199
% 1.31/2.49  # Processed clauses                    : 123
% 1.31/2.49  # ...of these trivial                  : 0
% 1.31/2.49  # ...subsumed                          : 3
% 1.31/2.49  # ...remaining for further processing  : 120
% 1.31/2.49  # Other redundant clauses eliminated   : 3
% 1.31/2.49  # Clauses deleted for lack of memory   : 0
% 1.31/2.49  # Backward-subsumed                    : 0
% 1.31/2.49  # Backward-rewritten                   : 0
% 1.31/2.49  # Generated clauses                    : 322
% 1.31/2.49  # ...of the previous two non-trivial   : 301
% 1.31/2.49  # Contextual simplify-reflections      : 1
% 1.31/2.49  # Paramodulations                      : 319
% 1.31/2.49  # Factorizations                       : 0
% 1.31/2.49  # Equation resolutions                 : 3
% 1.31/2.49  # Current number of processed clauses  : 117
% 1.31/2.49  #    Positive orientable unit clauses  : 32
% 1.31/2.49  #    Positive unorientable unit clauses: 0
% 1.31/2.49  #    Negative unit clauses             : 5
% 1.31/2.49  #    Non-unit-clauses                  : 80
% 1.31/2.49  # Current number of unprocessed clauses: 377
% 1.31/2.49  # ...number of literals in the above   : 1206
% 1.31/2.49  # Current number of archived formulas  : 0
% 1.31/2.49  # Current number of archived clauses   : 1
% 1.31/2.49  # Clause-clause subsumption calls (NU) : 1171
% 1.31/2.49  # Rec. Clause-clause subsumption calls : 819
% 1.31/2.49  # Non-unit clause-clause subsumptions  : 4
% 1.31/2.49  # Unit Clause-clause subsumption calls : 111
% 1.31/2.49  # Rewrite failures with RHS unbound    : 0
% 1.31/2.49  # BW rewrite match attempts            : 0
% 1.31/2.49  # BW rewrite match successes           : 0
% 1.31/2.49  # Condensation attempts                : 0
% 1.31/2.49  # Condensation successes               : 0
% 1.31/2.49  # Termbank termtop insertions          : 560236
% 1.31/2.49  
% 1.31/2.49  # -------------------------------------------------
% 1.31/2.49  # User time                : 0.678 s
% 1.31/2.49  # System time              : 0.028 s
% 1.31/2.49  # Total time               : 0.706 s
% 1.31/2.49  # Maximum resident set size: 46096 pages
% 1.31/24.49  eprover: CPU time limit exceeded, terminating
% 1.31/24.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.31/24.51  eprover: No such file or directory
% 1.31/24.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.31/24.52  eprover: No such file or directory
% 1.31/24.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.31/24.52  eprover: No such file or directory
% 1.31/24.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.31/24.53  eprover: No such file or directory
% 1.31/24.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.31/24.53  eprover: No such file or directory
% 1.31/24.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.31/24.54  eprover: No such file or directory
% 1.31/24.55  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.31/24.55  eprover: No such file or directory
% 1.31/24.55  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.31/24.55  eprover: No such file or directory
% 1.31/24.56  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.31/24.56  eprover: No such file or directory
% 1.31/24.56  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.31/24.56  eprover: No such file or directory
% 1.31/24.57  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.31/24.57  eprover: No such file or directory
%------------------------------------------------------------------------------