TSTP Solution File: SYO578+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SYO578+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n013.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 16:00:24 EDT 2022

% Result   : Theorem 0.22s 1.40s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   3 unt;   0 def)
%            Number of atoms       :   73 (   0 equ)
%            Maximal formula atoms :   20 (   6 avg)
%            Number of connectives :   91 (  30   ~;  26   |;  28   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   28 (   0 sgn  13   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(goals_86,conjecture,
    ( ( ! [X143] :
          ( b48_buttercup10098(X143)
         => k04_buttercup10100(X143) )
      & ? [X144] :
          ( k04_buttercup10100(X144)
          & ~ b48_buttercup10098(X144) ) )
    | ( ! [X145] :
          ( k04_buttercup10100(X145)
         => b48_buttercup10098(X145) )
      & ? [X146] :
          ( b48_buttercup10098(X146)
          & ~ k04_buttercup10100(X146) ) )
    | ? [X147,X148,X149] :
        ( k04_buttercup10100(X147)
        & b48_buttercup10098(X147)
        & k04_buttercup10100(X148)
        & ~ b48_buttercup10098(X148)
        & ~ k04_buttercup10100(X149)
        & b48_buttercup10098(X149) )
    | ! [X150] :
        ( k04_buttercup10100(X150)
       => ~ b48_buttercup10098(X150) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals_86) ).

fof(sos_21,axiom,
    ( ! [X62] :
        ( k04_buttercup10100(X62)
       => b48_buttercup10098(X62) )
    & ? [X63] :
        ( b48_buttercup10098(X63)
        & ~ k04_buttercup10100(X63) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_21) ).

fof(c_0_2,negated_conjecture,
    ~ ( ( ! [X143] :
            ( b48_buttercup10098(X143)
           => k04_buttercup10100(X143) )
        & ? [X144] :
            ( k04_buttercup10100(X144)
            & ~ b48_buttercup10098(X144) ) )
      | ( ! [X145] :
            ( k04_buttercup10100(X145)
           => b48_buttercup10098(X145) )
        & ? [X146] :
            ( b48_buttercup10098(X146)
            & ~ k04_buttercup10100(X146) ) )
      | ? [X147,X148,X149] :
          ( k04_buttercup10100(X147)
          & b48_buttercup10098(X147)
          & k04_buttercup10100(X148)
          & ~ b48_buttercup10098(X148)
          & ~ k04_buttercup10100(X149)
          & b48_buttercup10098(X149) )
      | ! [X150] :
          ( k04_buttercup10100(X150)
         => ~ b48_buttercup10098(X150) ) ),
    inference(assume_negation,[status(cth)],[goals_86]) ).

fof(c_0_3,negated_conjecture,
    ! [X152,X154,X155,X156,X157] :
      ( ( b48_buttercup10098(esk1_0)
        | ~ k04_buttercup10100(X152)
        | b48_buttercup10098(X152) )
      & ( ~ k04_buttercup10100(esk1_0)
        | ~ k04_buttercup10100(X152)
        | b48_buttercup10098(X152) )
      & ( k04_buttercup10100(esk2_0)
        | ~ b48_buttercup10098(X154)
        | k04_buttercup10100(X154) )
      & ( ~ b48_buttercup10098(esk2_0)
        | ~ b48_buttercup10098(X154)
        | k04_buttercup10100(X154) )
      & ( ~ k04_buttercup10100(X155)
        | ~ b48_buttercup10098(X155)
        | ~ k04_buttercup10100(X156)
        | b48_buttercup10098(X156)
        | k04_buttercup10100(X157)
        | ~ b48_buttercup10098(X157) )
      & k04_buttercup10100(esk3_0)
      & b48_buttercup10098(esk3_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,
    ! [X64] :
      ( ( ~ k04_buttercup10100(X64)
        | b48_buttercup10098(X64) )
      & b48_buttercup10098(esk5_0)
      & ~ k04_buttercup10100(esk5_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_21])])])])])])]) ).

cnf(c_0_5,negated_conjecture,
    ( k04_buttercup10100(X1)
    | ~ b48_buttercup10098(X1)
    | ~ b48_buttercup10098(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    ( b48_buttercup10098(X1)
    | ~ k04_buttercup10100(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ( k04_buttercup10100(X1)
    | k04_buttercup10100(esk2_0)
    | ~ b48_buttercup10098(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_8,negated_conjecture,
    ( k04_buttercup10100(X1)
    | ~ b48_buttercup10098(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).

cnf(c_0_9,plain,
    b48_buttercup10098(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,plain,
    ~ k04_buttercup10100(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SYO578+1 : TPTP v8.1.0. Released v5.5.0.
% 0.10/0.12  % Command  : run_ET %s %d
% 0.11/0.32  % Computer : n013.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Sat Jul  9 06:33:45 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.22/1.40  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40  # Preprocessing time       : 0.034 s
% 0.22/1.40  
% 0.22/1.40  # Proof found!
% 0.22/1.40  # SZS status Theorem
% 0.22/1.40  # SZS output start CNFRefutation
% See solution above
% 0.22/1.40  # Proof object total steps             : 12
% 0.22/1.40  # Proof object clause steps            : 7
% 0.22/1.40  # Proof object formula steps           : 5
% 0.22/1.40  # Proof object conjectures             : 7
% 0.22/1.40  # Proof object clause conjectures      : 4
% 0.22/1.40  # Proof object formula conjectures     : 3
% 0.22/1.40  # Proof object initial clauses used    : 5
% 0.22/1.40  # Proof object initial formulas used   : 2
% 0.22/1.40  # Proof object generating inferences   : 2
% 0.22/1.40  # Proof object simplifying inferences  : 2
% 0.22/1.40  # Training examples: 0 positive, 0 negative
% 0.22/1.40  # Parsed axioms                        : 86
% 0.22/1.40  # Removed by relevancy pruning/SinE    : 6
% 0.22/1.40  # Initial clauses                      : 480
% 0.22/1.40  # Removed in clause preprocessing      : 0
% 0.22/1.40  # Initial clauses in saturation        : 480
% 0.22/1.40  # Processed clauses                    : 483
% 0.22/1.40  # ...of these trivial                  : 0
% 0.22/1.40  # ...subsumed                          : 25
% 0.22/1.40  # ...remaining for further processing  : 458
% 0.22/1.40  # Other redundant clauses eliminated   : 0
% 0.22/1.40  # Clauses deleted for lack of memory   : 0
% 0.22/1.40  # Backward-subsumed                    : 2
% 0.22/1.40  # Backward-rewritten                   : 0
% 0.22/1.40  # Generated clauses                    : 2470
% 0.22/1.40  # ...of the previous two non-trivial   : 1363
% 0.22/1.40  # Contextual simplify-reflections      : 7
% 0.22/1.40  # Paramodulations                      : 2470
% 0.22/1.40  # Factorizations                       : 0
% 0.22/1.40  # Equation resolutions                 : 0
% 0.22/1.40  # Current number of processed clauses  : 456
% 0.22/1.40  #    Positive orientable unit clauses  : 22
% 0.22/1.40  #    Positive unorientable unit clauses: 0
% 0.22/1.40  #    Negative unit clauses             : 9
% 0.22/1.40  #    Non-unit-clauses                  : 425
% 0.22/1.40  # Current number of unprocessed clauses: 1341
% 0.22/1.40  # ...number of literals in the above   : 7266
% 0.22/1.40  # Current number of archived formulas  : 0
% 0.22/1.40  # Current number of archived clauses   : 2
% 0.22/1.40  # Clause-clause subsumption calls (NU) : 37898
% 0.22/1.40  # Rec. Clause-clause subsumption calls : 5263
% 0.22/1.40  # Non-unit clause-clause subsumptions  : 34
% 0.22/1.40  # Unit Clause-clause subsumption calls : 428
% 0.22/1.40  # Rewrite failures with RHS unbound    : 0
% 0.22/1.40  # BW rewrite match attempts            : 0
% 0.22/1.40  # BW rewrite match successes           : 0
% 0.22/1.40  # Condensation attempts                : 0
% 0.22/1.40  # Condensation successes               : 0
% 0.22/1.40  # Termbank termtop insertions          : 50143
% 0.22/1.40  
% 0.22/1.40  # -------------------------------------------------
% 0.22/1.40  # User time                : 0.103 s
% 0.22/1.40  # System time              : 0.004 s
% 0.22/1.40  # Total time               : 0.107 s
% 0.22/1.40  # Maximum resident set size: 5540 pages
%------------------------------------------------------------------------------