TSTP Solution File: COM018+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COM018+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cMG8qOYKui true

% Computer : n016.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  : 300s
% DateTime : Wed Aug 30 18:49:08 EDT 2023

% Result   : Theorem 0.57s 0.80s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   32 (   7 unt;  14 typ;   0 def)
%            Number of atoms       :  100 (  18 equ;   0 cnn)
%            Maximal formula atoms :   30 (   5 avg)
%            Number of connectives :  288 (  28   ~;  38   |;  39   &; 178   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   5 con; 0-3 aty)
%            Number of variables   :   33 (   0   ^;  20   !;  13   ?;  33   :)

% Comments : 
%------------------------------------------------------------------------------
thf(aElement0_type,type,
    aElement0: $i > $o ).

thf(xw_type,type,
    xw: $i ).

thf(aNormalFormOfIn0_type,type,
    aNormalFormOfIn0: $i > $i > $i > $o ).

thf(isTerminating0_type,type,
    isTerminating0: $i > $o ).

thf(aRewritingSystem0_type,type,
    aRewritingSystem0: $i > $o ).

thf(xv_type,type,
    xv: $i ).

thf(sk__12_type,type,
    sk__12: $i > $i > $i ).

thf(sdtmndtasgtdt0_type,type,
    sdtmndtasgtdt0: $i > $i > $i > $o ).

thf(iLess0_type,type,
    iLess0: $i > $i > $o ).

thf(isLocallyConfluent0_type,type,
    isLocallyConfluent0: $i > $o ).

thf(aReductOfIn0_type,type,
    aReductOfIn0: $i > $i > $i > $o ).

thf(xR_type,type,
    xR: $i ).

thf(sdtmndtplgtdt0_type,type,
    sdtmndtplgtdt0: $i > $i > $i > $o ).

thf(xu_type,type,
    xu: $i ).

thf(m__799,axiom,
    ( ( sdtmndtasgtdt0 @ xv @ xR @ xw )
    & ( ( ( sdtmndtplgtdt0 @ xv @ xR @ xw )
        & ( ? [W0: $i] :
              ( ( sdtmndtplgtdt0 @ W0 @ xR @ xw )
              & ( aReductOfIn0 @ W0 @ xv @ xR )
              & ( aElement0 @ W0 ) )
          | ( aReductOfIn0 @ xw @ xv @ xR ) ) )
      | ( xv = xw ) )
    & ( sdtmndtasgtdt0 @ xu @ xR @ xw )
    & ( ( ( sdtmndtplgtdt0 @ xu @ xR @ xw )
        & ( ? [W0: $i] :
              ( ( sdtmndtplgtdt0 @ W0 @ xR @ xw )
              & ( aReductOfIn0 @ W0 @ xu @ xR )
              & ( aElement0 @ W0 ) )
          | ( aReductOfIn0 @ xw @ xu @ xR ) ) )
      | ( xu = xw ) )
    & ( aElement0 @ xw ) ) ).

thf(zip_derived_cl111,plain,
    aElement0 @ xw,
    inference(cnf,[status(esa)],[m__799]) ).

thf(m__656_01,axiom,
    ( ( isTerminating0 @ xR )
    & ! [W0: $i,W1: $i] :
        ( ( ( aElement0 @ W0 )
          & ( aElement0 @ W1 ) )
       => ( ( ( aReductOfIn0 @ W1 @ W0 @ xR )
            | ? [W2: $i] :
                ( ( sdtmndtplgtdt0 @ W2 @ xR @ W1 )
                & ( aReductOfIn0 @ W2 @ W0 @ xR )
                & ( aElement0 @ W2 ) )
            | ( sdtmndtplgtdt0 @ W0 @ xR @ W1 ) )
         => ( iLess0 @ W1 @ W0 ) ) )
    & ( isLocallyConfluent0 @ xR )
    & ! [W0: $i,W1: $i,W2: $i] :
        ( ( ( aElement0 @ W0 )
          & ( aElement0 @ W1 )
          & ( aElement0 @ W2 )
          & ( aReductOfIn0 @ W1 @ W0 @ xR )
          & ( aReductOfIn0 @ W2 @ W0 @ xR ) )
       => ? [W3: $i] :
            ( ( sdtmndtasgtdt0 @ W2 @ xR @ W3 )
            & ( ( ( sdtmndtplgtdt0 @ W2 @ xR @ W3 )
                & ( ? [W4: $i] :
                      ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
                      & ( aReductOfIn0 @ W4 @ W2 @ xR )
                      & ( aElement0 @ W4 ) )
                  | ( aReductOfIn0 @ W3 @ W2 @ xR ) ) )
              | ( W2 = W3 ) )
            & ( sdtmndtasgtdt0 @ W1 @ xR @ W3 )
            & ( ( ( sdtmndtplgtdt0 @ W1 @ xR @ W3 )
                & ( ? [W4: $i] :
                      ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
                      & ( aReductOfIn0 @ W4 @ W1 @ xR )
                      & ( aElement0 @ W4 ) )
                  | ( aReductOfIn0 @ W3 @ W1 @ xR ) ) )
              | ( W1 = W3 ) )
            & ( aElement0 @ W3 ) ) ) ) ).

thf(zip_derived_cl59,plain,
    isTerminating0 @ xR,
    inference(cnf,[status(esa)],[m__656_01]) ).

thf(mTermNF,axiom,
    ! [W0: $i] :
      ( ( ( aRewritingSystem0 @ W0 )
        & ( isTerminating0 @ W0 ) )
     => ! [W1: $i] :
          ( ( aElement0 @ W1 )
         => ? [W2: $i] : ( aNormalFormOfIn0 @ W2 @ W1 @ W0 ) ) ) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aNormalFormOfIn0 @ ( sk__12 @ X0 @ X1 ) @ X0 @ X1 )
      | ~ ( isTerminating0 @ X1 )
      | ~ ( aRewritingSystem0 @ X1 ) ),
    inference(cnf,[status(esa)],[mTermNF]) ).

thf(m__,conjecture,
    ? [W0: $i] :
      ( ( aNormalFormOfIn0 @ W0 @ xw @ xR )
      | ( ~ ? [W1: $i] : ( aReductOfIn0 @ W1 @ W0 @ xR )
        & ( ( sdtmndtasgtdt0 @ xw @ xR @ W0 )
          | ( sdtmndtplgtdt0 @ xw @ xR @ W0 )
          | ? [W1: $i] :
              ( ( sdtmndtplgtdt0 @ W1 @ xR @ W0 )
              & ( aReductOfIn0 @ W1 @ xw @ xR )
              & ( aElement0 @ W1 ) )
          | ( aReductOfIn0 @ W0 @ xw @ xR )
          | ( xw = W0 ) )
        & ( aElement0 @ W0 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [W0: $i] :
        ( ( aNormalFormOfIn0 @ W0 @ xw @ xR )
        | ( ~ ? [W1: $i] : ( aReductOfIn0 @ W1 @ W0 @ xR )
          & ( ( sdtmndtasgtdt0 @ xw @ xR @ W0 )
            | ( sdtmndtplgtdt0 @ xw @ xR @ W0 )
            | ? [W1: $i] :
                ( ( sdtmndtplgtdt0 @ W1 @ xR @ W0 )
                & ( aReductOfIn0 @ W1 @ xw @ xR )
                & ( aElement0 @ W1 ) )
            | ( aReductOfIn0 @ W0 @ xw @ xR )
            | ( xw = W0 ) )
          & ( aElement0 @ W0 ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl127,plain,
    ! [X2: $i] :
      ~ ( aNormalFormOfIn0 @ X2 @ xw @ xR ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl976,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sk__12 @ X0 @ X1 )
       != X2 )
      | ( X0 != xw )
      | ( X1 != xR )
      | ~ ( aRewritingSystem0 @ X1 )
      | ~ ( isTerminating0 @ X1 )
      | ~ ( aElement0 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl127]) ).

thf(zip_derived_cl1019,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aRewritingSystem0 @ xR )
      | ( xR != xR )
      | ( X0 != xw )
      | ( ( sk__12 @ X0 @ xR )
       != X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl59,zip_derived_cl976]) ).

thf(zip_derived_cl1354,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk__12 @ X0 @ xR )
       != X1 )
      | ( X0 != xw )
      | ~ ( aRewritingSystem0 @ xR )
      | ~ ( aElement0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1019]) ).

thf(m__656,axiom,
    aRewritingSystem0 @ xR ).

thf(zip_derived_cl43,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__656]) ).

thf(zip_derived_cl1355,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk__12 @ X0 @ xR )
       != X1 )
      | ( X0 != xw )
      | ~ ( aElement0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1354,zip_derived_cl43]) ).

thf(zip_derived_cl1356,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( X0 != xw ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1355]) ).

thf(zip_derived_cl1369,plain,
    xw != xw,
    inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl1356]) ).

thf(zip_derived_cl1370,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl1369]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COM018+4 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cMG8qOYKui true
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Aug 29 13:28:16 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.55/0.63  % Total configuration time : 435
% 0.55/0.63  % Estimated wc time : 1092
% 0.55/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.80  % Solved by fo/fo3_bce.sh.
% 0.57/0.80  % BCE start: 128
% 0.57/0.80  % BCE eliminated: 0
% 0.57/0.80  % PE start: 128
% 0.57/0.80  logic: eq
% 0.57/0.80  % PE eliminated: -45
% 0.57/0.80  % done 29 iterations in 0.072s
% 0.57/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.80  % SZS output start Refutation
% See solution above
% 0.57/0.80  
% 0.57/0.80  
% 0.57/0.80  % Terminating...
% 1.57/0.84  % Runner terminated.
% 1.57/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------