TSTP Solution File: COM021+4 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : COM021+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n025.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 : Fri Jul 15 01:14:08 EDT 2022

% Result   : Theorem 0.25s 1.42s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :   94 (  20 equ)
%            Maximal formula atoms :   25 (   7 avg)
%            Number of connectives :   93 (  12   ~;  39   |;  42   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :    9 (   1 sgn   2   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( xb = xd
    | aReductOfIn0(xd,xb,xR)
    | ? [X1] :
        ( aElement0(X1)
        & aReductOfIn0(X1,xb,xR)
        & sdtmndtplgtdt0(X1,xR,xd) )
    | sdtmndtplgtdt0(xb,xR,xd)
    | sdtmndtasgtdt0(xb,xR,xd) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).

fof(m__850,hypothesis,
    ( aElement0(xx)
    & ( xb = xx
      | ( ( aReductOfIn0(xx,xb,xR)
          | ? [X1] :
              ( aElement0(X1)
              & aReductOfIn0(X1,xb,xR)
              & sdtmndtplgtdt0(X1,xR,xx) ) )
        & sdtmndtplgtdt0(xb,xR,xx) ) )
    & sdtmndtasgtdt0(xb,xR,xx)
    & ( xd = xx
      | ( ( aReductOfIn0(xx,xd,xR)
          | ? [X1] :
              ( aElement0(X1)
              & aReductOfIn0(X1,xd,xR)
              & sdtmndtplgtdt0(X1,xR,xx) ) )
        & sdtmndtplgtdt0(xd,xR,xx) ) )
    & sdtmndtasgtdt0(xd,xR,xx) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__850) ).

fof(m__818,hypothesis,
    ( aElement0(xd)
    & ( xw = xd
      | ( ( aReductOfIn0(xd,xw,xR)
          | ? [X1] :
              ( aElement0(X1)
              & aReductOfIn0(X1,xw,xR)
              & sdtmndtplgtdt0(X1,xR,xd) ) )
        & sdtmndtplgtdt0(xw,xR,xd) ) )
    & sdtmndtasgtdt0(xw,xR,xd)
    & ~ ? [X1] : aReductOfIn0(X1,xd,xR)
    & aNormalFormOfIn0(xd,xw,xR) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__818) ).

fof(c_0_3,negated_conjecture,
    ~ ( xb = xd
      | aReductOfIn0(xd,xb,xR)
      | ? [X1] :
          ( aElement0(X1)
          & aReductOfIn0(X1,xb,xR)
          & sdtmndtplgtdt0(X1,xR,xd) )
      | sdtmndtplgtdt0(xb,xR,xd)
      | sdtmndtasgtdt0(xb,xR,xd) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_4,hypothesis,
    ( aElement0(xx)
    & ( aElement0(esk14_0)
      | aReductOfIn0(xx,xb,xR)
      | xb = xx )
    & ( aReductOfIn0(esk14_0,xb,xR)
      | aReductOfIn0(xx,xb,xR)
      | xb = xx )
    & ( sdtmndtplgtdt0(esk14_0,xR,xx)
      | aReductOfIn0(xx,xb,xR)
      | xb = xx )
    & ( sdtmndtplgtdt0(xb,xR,xx)
      | xb = xx )
    & sdtmndtasgtdt0(xb,xR,xx)
    & ( aElement0(esk15_0)
      | aReductOfIn0(xx,xd,xR)
      | xd = xx )
    & ( aReductOfIn0(esk15_0,xd,xR)
      | aReductOfIn0(xx,xd,xR)
      | xd = xx )
    & ( sdtmndtplgtdt0(esk15_0,xR,xx)
      | aReductOfIn0(xx,xd,xR)
      | xd = xx )
    & ( sdtmndtplgtdt0(xd,xR,xx)
      | xd = xx )
    & sdtmndtasgtdt0(xd,xR,xx) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[m__850])])])])]) ).

fof(c_0_5,hypothesis,
    ! [X3] :
      ( aElement0(xd)
      & ( aElement0(esk13_0)
        | aReductOfIn0(xd,xw,xR)
        | xw = xd )
      & ( aReductOfIn0(esk13_0,xw,xR)
        | aReductOfIn0(xd,xw,xR)
        | xw = xd )
      & ( sdtmndtplgtdt0(esk13_0,xR,xd)
        | aReductOfIn0(xd,xw,xR)
        | xw = xd )
      & ( sdtmndtplgtdt0(xw,xR,xd)
        | xw = xd )
      & sdtmndtasgtdt0(xw,xR,xd)
      & ~ aReductOfIn0(X3,xd,xR)
      & aNormalFormOfIn0(xd,xw,xR) ),
    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)],[m__818])])])])])])]) ).

fof(c_0_6,negated_conjecture,
    ! [X2] :
      ( xb != xd
      & ~ aReductOfIn0(xd,xb,xR)
      & ( ~ aElement0(X2)
        | ~ aReductOfIn0(X2,xb,xR)
        | ~ sdtmndtplgtdt0(X2,xR,xd) )
      & ~ sdtmndtplgtdt0(xb,xR,xd)
      & ~ sdtmndtasgtdt0(xb,xR,xd) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).

cnf(c_0_7,hypothesis,
    ( xd = xx
    | aReductOfIn0(xx,xd,xR)
    | aReductOfIn0(esk15_0,xd,xR) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,hypothesis,
    ~ aReductOfIn0(X1,xd,xR),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    ~ sdtmndtasgtdt0(xb,xR,xd),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,hypothesis,
    xd = xx,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_7,c_0_8]),c_0_8]) ).

cnf(c_0_11,hypothesis,
    sdtmndtasgtdt0(xb,xR,xx),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : COM021+4 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 17:04:26 EDT 2022
% 0.13/0.34  % 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       : 0.036 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             : 13
% 0.25/1.42  # Proof object clause steps            : 6
% 0.25/1.42  # Proof object formula steps           : 7
% 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    : 4
% 0.25/1.42  # Proof object initial formulas used   : 3
% 0.25/1.42  # Proof object generating inferences   : 0
% 0.25/1.42  # Proof object simplifying inferences  : 5
% 0.25/1.42  # Training examples: 0 positive, 0 negative
% 0.25/1.42  # Parsed axioms                        : 25
% 0.25/1.42  # Removed by relevancy pruning/SinE    : 1
% 0.25/1.42  # Initial clauses                      : 386
% 0.25/1.42  # Removed in clause preprocessing      : 4
% 0.25/1.42  # Initial clauses in saturation        : 382
% 0.25/1.42  # Processed clauses                    : 59
% 0.25/1.42  # ...of these trivial                  : 0
% 0.25/1.42  # ...subsumed                          : 0
% 0.25/1.42  # ...remaining for further processing  : 59
% 0.25/1.42  # Other redundant clauses eliminated   : 0
% 0.25/1.42  # Clauses deleted for lack of memory   : 0
% 0.25/1.42  # Backward-subsumed                    : 0
% 0.25/1.42  # Backward-rewritten                   : 15
% 0.25/1.42  # Generated clauses                    : 16
% 0.25/1.42  # ...of the previous two non-trivial   : 8
% 0.25/1.42  # Contextual simplify-reflections      : 0
% 0.25/1.42  # Paramodulations                      : 16
% 0.25/1.42  # Factorizations                       : 0
% 0.25/1.42  # Equation resolutions                 : 0
% 0.25/1.42  # Current number of processed clauses  : 44
% 0.25/1.42  #    Positive orientable unit clauses  : 20
% 0.25/1.42  #    Positive unorientable unit clauses: 0
% 0.25/1.42  #    Negative unit clauses             : 0
% 0.25/1.42  #    Non-unit-clauses                  : 24
% 0.25/1.42  # Current number of unprocessed clauses: 328
% 0.25/1.42  # ...number of literals in the above   : 2757
% 0.25/1.42  # Current number of archived formulas  : 0
% 0.25/1.42  # Current number of archived clauses   : 15
% 0.25/1.42  # Clause-clause subsumption calls (NU) : 56
% 0.25/1.42  # Rec. Clause-clause subsumption calls : 30
% 0.25/1.42  # Non-unit clause-clause subsumptions  : 0
% 0.25/1.42  # Unit Clause-clause subsumption calls : 18
% 0.25/1.42  # Rewrite failures with RHS unbound    : 0
% 0.25/1.42  # BW rewrite match attempts            : 5
% 0.25/1.42  # BW rewrite match successes           : 1
% 0.25/1.42  # Condensation attempts                : 0
% 0.25/1.42  # Condensation successes               : 0
% 0.25/1.42  # Termbank termtop insertions          : 20828
% 0.25/1.42  
% 0.25/1.42  # -------------------------------------------------
% 0.25/1.42  # User time                : 0.032 s
% 0.25/1.42  # System time              : 0.006 s
% 0.25/1.42  # Total time               : 0.038 s
% 0.25/1.42  # Maximum resident set size: 3948 pages
%------------------------------------------------------------------------------