↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG047+2 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YcNaF8Skub true

% Computer : n021.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 : Thu Oct  2 04:50:19 PM UTC 2025

% Result   : Theorem 0.58s 0.82s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   60 (  30 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  197 (  21   ~;  16   |;  10   &; 139   @)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;  14   !;   0   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf(xs_type,type,
    xs: $i ).

thf(aNaturalNumber0_type,type,
    aNaturalNumber0: $i > $o ).

thf(sdtlbdtrb0_type,type,
    sdtlbdtrb0: $i > $i > $i ).

thf(sziznziztdt0_type,type,
    sziznziztdt0: $i > $i ).

thf(szszuzczcdt0_type,type,
    szszuzczcdt0: $i > $i ).

thf(aVector0_type,type,
    aVector0: $i > $o ).

thf(sz00_type,type,
    sz00: $i ).

thf(aDimensionOf0_type,type,
    aDimensionOf0: $i > $i ).

thf(xt_type,type,
    xt: $i ).

thf(mDimNat,axiom,
    ! [W0: $i] :
      ( ( aVector0 @ W0 )
     => ( aNaturalNumber0 @ ( aDimensionOf0 @ W0 ) ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i] :
      ( ( aNaturalNumber0 @ ( aDimensionOf0 @ X0 ) )
      | ~ ( aVector0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDimNat]) ).

thf(m__,conjecture,
    ( ( ( aVector0 @ ( sziznziztdt0 @ xs ) )
      & ( ( szszuzczcdt0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) )
        = ( aDimensionOf0 @ xs ) )
      & ! [W0: $i] :
          ( ( aNaturalNumber0 @ W0 )
         => ( ( sdtlbdtrb0 @ ( sziznziztdt0 @ xs ) @ W0 )
            = ( sdtlbdtrb0 @ xs @ W0 ) ) ) )
   => ( ( ( aVector0 @ ( sziznziztdt0 @ xt ) )
        & ( ( szszuzczcdt0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xt ) ) )
          = ( aDimensionOf0 @ xt ) )
        & ! [W0: $i] :
            ( ( aNaturalNumber0 @ W0 )
           => ( ( sdtlbdtrb0 @ ( sziznziztdt0 @ xt ) @ W0 )
              = ( sdtlbdtrb0 @ xt @ W0 ) ) ) )
     => ( ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) )
        = ( aDimensionOf0 @ ( sziznziztdt0 @ xt ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( aVector0 @ ( sziznziztdt0 @ xs ) )
        & ( ( szszuzczcdt0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) )
          = ( aDimensionOf0 @ xs ) )
        & ! [W0: $i] :
            ( ( aNaturalNumber0 @ W0 )
           => ( ( sdtlbdtrb0 @ ( sziznziztdt0 @ xs ) @ W0 )
              = ( sdtlbdtrb0 @ xs @ W0 ) ) ) )
     => ( ( ( aVector0 @ ( sziznziztdt0 @ xt ) )
          & ( ( szszuzczcdt0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xt ) ) )
            = ( aDimensionOf0 @ xt ) )
          & ! [W0: $i] :
              ( ( aNaturalNumber0 @ W0 )
             => ( ( sdtlbdtrb0 @ ( sziznziztdt0 @ xt ) @ W0 )
                = ( sdtlbdtrb0 @ xt @ W0 ) ) ) )
       => ( ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) )
          = ( aDimensionOf0 @ ( sziznziztdt0 @ xt ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl60,plain,
    ( ( szszuzczcdt0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xt ) ) )
    = ( aDimensionOf0 @ xt ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__1329_01,axiom,
    ( ( ( aDimensionOf0 @ xt )
     != sz00 )
    & ( ( aDimensionOf0 @ xs )
      = ( aDimensionOf0 @ xt ) ) ) ).

thf(zip_derived_cl54,plain,
    ( ( aDimensionOf0 @ xs )
    = ( aDimensionOf0 @ xt ) ),
    inference(cnf,[status(esa)],[m__1329_01]) ).

thf(zip_derived_cl325,plain,
    ( ( szszuzczcdt0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xt ) ) )
    = ( aDimensionOf0 @ xs ) ),
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl54]) ).

thf(zip_derived_cl44_001,plain,
    ! [X0: $i] :
      ( ( aNaturalNumber0 @ ( aDimensionOf0 @ X0 ) )
      | ~ ( aVector0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDimNat]) ).

thf(zip_derived_cl56,plain,
    ( ( szszuzczcdt0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) )
    = ( aDimensionOf0 @ xs ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mSuccEqu,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( ( ( szszuzczcdt0 @ W0 )
          = ( szszuzczcdt0 @ W1 ) )
       => ( W0 = W1 ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( X0 = X1 )
      | ( ( szszuzczcdt0 @ X0 )
       != ( szszuzczcdt0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSuccEqu]) ).

thf(zip_derived_cl328,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) )
        = X0 )
      | ( ( aDimensionOf0 @ xs )
       != ( szszuzczcdt0 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl6]) ).

thf(zip_derived_cl343,plain,
    ! [X0: $i] :
      ( ~ ( aVector0 @ ( sziznziztdt0 @ xs ) )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) )
        = X0 )
      | ( ( aDimensionOf0 @ xs )
       != ( szszuzczcdt0 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl328]) ).

thf(zip_derived_cl55,plain,
    aVector0 @ ( sziznziztdt0 @ xs ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl344,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ( ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) )
        = X0 )
      | ( ( aDimensionOf0 @ xs )
       != ( szszuzczcdt0 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl343,zip_derived_cl55]) ).

thf(zip_derived_cl346,plain,
    ( ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xt ) ) )
    | ( ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) )
      = ( aDimensionOf0 @ ( sziznziztdt0 @ xt ) ) )
    | ( ( aDimensionOf0 @ xs )
     != ( aDimensionOf0 @ xs ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl325,zip_derived_cl344]) ).

thf(zip_derived_cl349,plain,
    ( ( ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) )
      = ( aDimensionOf0 @ ( sziznziztdt0 @ xt ) ) )
    | ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xt ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl346]) ).

thf(zip_derived_cl58,plain,
    ( ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) )
   != ( aDimensionOf0 @ ( sziznziztdt0 @ xt ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl350,plain,
    ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ xt ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl349,zip_derived_cl58]) ).

thf(zip_derived_cl351,plain,
    ~ ( aVector0 @ ( sziznziztdt0 @ xt ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl350]) ).

thf(zip_derived_cl61,plain,
    aVector0 @ ( sziznziztdt0 @ xt ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl352,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl351,zip_derived_cl61]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : RNG047+2 : TPTP v9.2.0. Released v4.0.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YcNaF8Skub true
% 0.13/0.35  % Computer : n021.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  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 17:22:08 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.56/0.64  % Total configuration time : 435
% 0.56/0.64  % Estimated wc time : 1092
% 0.56/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.82  % Solved by fo/fo6_bce.sh.
% 0.58/0.82  % BCE start: 62
% 0.58/0.82  % BCE eliminated: 1
% 0.58/0.82  % PE start: 61
% 0.58/0.82  logic: eq
% 0.58/0.82  % PE eliminated: 0
% 0.58/0.82  % done 34 iterations in 0.038s
% 0.58/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.82  % SZS output start Refutation
% See solution above
% 0.58/0.82  
% 0.58/0.82  
% 0.58/0.82  % Terminating...
% 0.58/0.86  % Runner terminated.
% 1.79/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------