TSTP Solution File: SYO580+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SYO580+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n012.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 : Thu Jul 21 16:00:25 EDT 2022

% Result   : Theorem 0.28s 1.46s
% Output   : CNFRefutation 0.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :   74 (  24   ~;  22   |;  19   &)
%                                         (   2 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   20 (   0 sgn  12   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(goals_886,conjecture,
    ( ! [X1056] :
        ( b48_buttercup10305(X1056)
      <=> k04_buttercup10303(X1056) )
    | ( ! [X1057] :
          ( k04_buttercup10303(X1057)
         => b48_buttercup10305(X1057) )
      & ? [X1058] :
          ( b48_buttercup10305(X1058)
          & ~ k04_buttercup10303(X1058) ) )
    | ( ! [X1059] :
          ( b48_buttercup10305(X1059)
         => k04_buttercup10303(X1059) )
      & ? [X1060] :
          ( k04_buttercup10303(X1060)
          & ~ b48_buttercup10305(X1060) ) )
    | ! [X1061] :
        ( b48_buttercup10305(X1061)
       => ~ k04_buttercup10303(X1061) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals_886) ).

fof(sos_320,axiom,
    ( ! [X320] :
        ( b48_buttercup10305(X320)
       => k04_buttercup10303(X320) )
    & ? [X321] :
        ( k04_buttercup10303(X321)
        & ~ b48_buttercup10305(X321) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_320) ).

fof(c_0_2,negated_conjecture,
    ~ ( ! [X1056] :
          ( b48_buttercup10305(X1056)
        <=> k04_buttercup10303(X1056) )
      | ( ! [X1057] :
            ( k04_buttercup10303(X1057)
           => b48_buttercup10305(X1057) )
        & ? [X1058] :
            ( b48_buttercup10305(X1058)
            & ~ k04_buttercup10303(X1058) ) )
      | ( ! [X1059] :
            ( b48_buttercup10305(X1059)
           => k04_buttercup10303(X1059) )
        & ? [X1060] :
            ( k04_buttercup10303(X1060)
            & ~ b48_buttercup10305(X1060) ) )
      | ! [X1061] :
          ( b48_buttercup10305(X1061)
         => ~ k04_buttercup10303(X1061) ) ),
    inference(assume_negation,[status(cth)],[goals_886]) ).

fof(c_0_3,negated_conjecture,
    ! [X1064,X1066] :
      ( ( ~ b48_buttercup10305(esk1_0)
        | ~ k04_buttercup10303(esk1_0) )
      & ( b48_buttercup10305(esk1_0)
        | k04_buttercup10303(esk1_0) )
      & ( k04_buttercup10303(esk2_0)
        | ~ b48_buttercup10305(X1064)
        | k04_buttercup10303(X1064) )
      & ( ~ b48_buttercup10305(esk2_0)
        | ~ b48_buttercup10305(X1064)
        | k04_buttercup10303(X1064) )
      & ( b48_buttercup10305(esk3_0)
        | ~ k04_buttercup10303(X1066)
        | b48_buttercup10305(X1066) )
      & ( ~ k04_buttercup10303(esk3_0)
        | ~ k04_buttercup10303(X1066)
        | b48_buttercup10305(X1066) )
      & b48_buttercup10305(esk4_0)
      & k04_buttercup10303(esk4_0) ),
    inference(distribute,[status(thm)],[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)],[inference(fof_simplification,[status(thm)],[c_0_2])])])])])])])]) ).

fof(c_0_4,plain,
    ! [X322] :
      ( ( ~ b48_buttercup10305(X322)
        | k04_buttercup10303(X322) )
      & k04_buttercup10303(esk6_0)
      & ~ b48_buttercup10305(esk6_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)],[inference(fof_simplification,[status(thm)],[sos_320])])])])])])]) ).

cnf(c_0_5,negated_conjecture,
    ( b48_buttercup10305(X1)
    | b48_buttercup10305(esk3_0)
    | ~ k04_buttercup10303(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    k04_buttercup10303(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    ~ b48_buttercup10305(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    ( b48_buttercup10305(X1)
    | ~ k04_buttercup10303(X1)
    | ~ k04_buttercup10303(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_9,plain,
    ( k04_buttercup10303(X1)
    | ~ b48_buttercup10305(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,negated_conjecture,
    b48_buttercup10305(esk3_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    ~ k04_buttercup10303(esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_6])]) ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYO580+1 : TPTP v8.1.0. Released v5.5.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.13/0.35  % Computer : n012.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 12:16:59 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.28/1.46  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.28/1.46  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.28/1.46  # Preprocessing time       : 0.028 s
% 0.28/1.46  
% 0.28/1.46  # Proof found!
% 0.28/1.46  # SZS status Theorem
% 0.28/1.46  # SZS output start CNFRefutation
% See solution above
% 0.28/1.46  # Proof object total steps             : 13
% 0.28/1.46  # Proof object clause steps            : 8
% 0.28/1.46  # Proof object formula steps           : 5
% 0.28/1.46  # Proof object conjectures             : 8
% 0.28/1.46  # Proof object clause conjectures      : 5
% 0.28/1.46  # Proof object formula conjectures     : 3
% 0.28/1.46  # Proof object initial clauses used    : 5
% 0.28/1.46  # Proof object initial formulas used   : 2
% 0.28/1.46  # Proof object generating inferences   : 3
% 0.28/1.46  # Proof object simplifying inferences  : 4
% 0.28/1.46  # Training examples: 0 positive, 0 negative
% 0.28/1.46  # Parsed axioms                        : 886
% 0.28/1.46  # Removed by relevancy pruning/SinE    : 874
% 0.28/1.46  # Initial clauses                      : 24
% 0.28/1.46  # Removed in clause preprocessing      : 0
% 0.28/1.46  # Initial clauses in saturation        : 24
% 0.28/1.46  # Processed clauses                    : 28
% 0.28/1.46  # ...of these trivial                  : 0
% 0.28/1.46  # ...subsumed                          : 2
% 0.28/1.46  # ...remaining for further processing  : 26
% 0.28/1.46  # Other redundant clauses eliminated   : 0
% 0.28/1.46  # Clauses deleted for lack of memory   : 0
% 0.28/1.46  # Backward-subsumed                    : 0
% 0.28/1.46  # Backward-rewritten                   : 3
% 0.28/1.46  # Generated clauses                    : 16
% 0.28/1.46  # ...of the previous two non-trivial   : 11
% 0.28/1.46  # Contextual simplify-reflections      : 2
% 0.28/1.46  # Paramodulations                      : 16
% 0.28/1.46  # Factorizations                       : 0
% 0.28/1.46  # Equation resolutions                 : 0
% 0.28/1.46  # Current number of processed clauses  : 23
% 0.28/1.46  #    Positive orientable unit clauses  : 11
% 0.28/1.46  #    Positive unorientable unit clauses: 0
% 0.28/1.46  #    Negative unit clauses             : 4
% 0.28/1.46  #    Non-unit-clauses                  : 8
% 0.28/1.46  # Current number of unprocessed clauses: 4
% 0.28/1.46  # ...number of literals in the above   : 5
% 0.28/1.46  # Current number of archived formulas  : 0
% 0.28/1.46  # Current number of archived clauses   : 3
% 0.28/1.46  # Clause-clause subsumption calls (NU) : 8
% 0.28/1.46  # Rec. Clause-clause subsumption calls : 8
% 0.28/1.46  # Non-unit clause-clause subsumptions  : 4
% 0.28/1.46  # Unit Clause-clause subsumption calls : 11
% 0.28/1.46  # Rewrite failures with RHS unbound    : 0
% 0.28/1.46  # BW rewrite match attempts            : 2
% 0.28/1.46  # BW rewrite match successes           : 2
% 0.28/1.46  # Condensation attempts                : 0
% 0.28/1.46  # Condensation successes               : 0
% 0.28/1.46  # Termbank termtop insertions          : 6599
% 0.28/1.46  
% 0.28/1.46  # -------------------------------------------------
% 0.28/1.46  # User time                : 0.024 s
% 0.28/1.46  # System time              : 0.005 s
% 0.28/1.46  # Total time               : 0.030 s
% 0.28/1.46  # Maximum resident set size: 4876 pages
%------------------------------------------------------------------------------