TSTP Solution File: NUN025^3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUN025^3 : TPTP v8.1.2. Released v6.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.a8DNeM3OBo 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 : Thu Aug 31 12:54:10 EDT 2023

% Result   : Theorem 0.21s 0.79s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   32 (  16 unt;   4 typ;   0 def)
%            Number of atoms       :   84 (  71 equ;   0 cnn)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  249 (  20   ~;  21   |;  12   &; 190   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   4 usr;   3 con; 0-3 aty)
%            Number of variables   :   46 (   0   ^;  44   !;   2   ?;  46   :)

% Comments : 
%------------------------------------------------------------------------------
thf(zero_type,type,
    zero: $i ).

thf(ite_type,type,
    ite: $o > $i > $i > $i ).

thf(h_type,type,
    h: $i > $i ).

thf(s_type,type,
    s: $i > $i ).

thf(n10,conjecture,
    ( ( ! [X100: $o,U: $i,V: $i] :
          ( X100
         => ( ( ite @ X100 @ U @ V )
            = U ) )
      & ! [X100: $o,U: $i,V: $i] :
          ( ~ X100
         => ( ( ite @ X100 @ U @ V )
            = V ) )
      & ! [X: $i] :
          ( ( s @ X )
         != zero )
      & ! [X: $i] :
          ( ( s @ X )
         != X )
      & ! [X: $i] :
          ( ( h @ X )
          = ( ite @ ( X = zero ) @ ( s @ zero )
            @ ( ite
              @ ( X
                = ( s @ zero ) )
              @ zero
              @ ( s @ zero ) ) ) ) )
   => ? [H: $i > $i] :
        ( ( ( H @ ( s @ ( s @ zero ) ) )
          = ( s @ zero ) )
        & ( ( H @ ( s @ zero ) )
          = zero )
        & ( ( H @ zero )
          = ( s @ zero ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [X100: $o,U: $i,V: $i] :
            ( X100
           => ( ( ite @ X100 @ U @ V )
              = U ) )
        & ! [X100: $o,U: $i,V: $i] :
            ( ~ X100
           => ( ( ite @ X100 @ U @ V )
              = V ) )
        & ! [X: $i] :
            ( ( s @ X )
           != zero )
        & ! [X: $i] :
            ( ( s @ X )
           != X )
        & ! [X: $i] :
            ( ( h @ X )
            = ( ite @ ( X = zero ) @ ( s @ zero )
              @ ( ite
                @ ( X
                  = ( s @ zero ) )
                @ zero
                @ ( s @ zero ) ) ) ) )
     => ? [H: $i > $i] :
          ( ( ( H @ ( s @ ( s @ zero ) ) )
            = ( s @ zero ) )
          & ( ( H @ ( s @ zero ) )
            = zero )
          & ( ( H @ zero )
            = ( s @ zero ) ) ) ),
    inference('cnf.neg',[status(esa)],[n10]) ).

thf(zip_derived_cl4,plain,
    ! [X8: $i] :
      ( ( h @ X8 )
      = ( ite @ ( X8 = zero ) @ ( s @ zero )
        @ ( ite
          @ ( X8
            = ( s @ zero ) )
          @ zero
          @ ( s @ zero ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl86,plain,
    ! [X8: $i] :
      ( ( X8 = zero )
      | ( ( h @ X8 )
        = ( ite @ $false @ ( s @ zero )
          @ ( ite
            @ ( X8
              = ( s @ zero ) )
            @ zero
            @ ( s @ zero ) ) ) ) ),
    inference(eq_hoist,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl131,plain,
    ! [X8: $i] :
      ( ( X8
        = ( s @ zero ) )
      | ( X8 = zero )
      | ( ( h @ X8 )
        = ( ite @ $false @ ( s @ zero ) @ ( ite @ $false @ zero @ ( s @ zero ) ) ) ) ),
    inference(eq_hoist,[status(thm)],[zip_derived_cl86]) ).

thf(zip_derived_cl1,plain,
    ! [X3: $o,X4: $i,X5: $i] :
      ( X3
      | ( ( ite @ X3 @ X5 @ X4 )
        = X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ( ite @ $false @ X1 @ X0 )
      = X0 ),
    inference('ho.refine',[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl10_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( ite @ $false @ X1 @ X0 )
      = X0 ),
    inference('ho.refine',[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl137,plain,
    ! [X8: $i] :
      ( ( X8
        = ( s @ zero ) )
      | ( X8 = zero )
      | ( ( h @ X8 )
        = ( s @ zero ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl10,zip_derived_cl10]) ).

thf(zip_derived_cl5,plain,
    ! [X9: $i > $i] :
      ( ( ( X9 @ ( s @ ( s @ zero ) ) )
       != ( s @ zero ) )
      | ( ( X9 @ ( s @ zero ) )
       != zero )
      | ( ( X9 @ zero )
       != ( s @ zero ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl195,plain,
    ( ( ( s @ zero )
     != ( s @ zero ) )
    | ( ( s @ ( s @ zero ) )
      = zero )
    | ( ( s @ ( s @ zero ) )
      = ( s @ zero ) )
    | ( ( h @ zero )
     != ( s @ zero ) )
    | ( ( h @ ( s @ zero ) )
     != zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl5]) ).

thf(zip_derived_cl4_002,plain,
    ! [X8: $i] :
      ( ( h @ X8 )
      = ( ite @ ( X8 = zero ) @ ( s @ zero )
        @ ( ite
          @ ( X8
            = ( s @ zero ) )
          @ zero
          @ ( s @ zero ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl87,plain,
    ( ( h @ zero )
    = ( ite @ $true @ ( s @ zero )
      @ ( ite
        @ ( zero
          = ( s @ zero ) )
        @ zero
        @ ( s @ zero ) ) ) ),
    inference(eq_rw,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $o,X1: $i,X2: $i] :
      ( ~ X0
      | ( ( ite @ X0 @ X1 @ X2 )
        = X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i] :
      ( ( ite @ $true @ X1 @ X0 )
      = X1 ),
    inference('ho.refine',[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl103,plain,
    ( ( h @ zero )
    = ( s @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl24]) ).

thf(zip_derived_cl86_003,plain,
    ! [X8: $i] :
      ( ( X8 = zero )
      | ( ( h @ X8 )
        = ( ite @ $false @ ( s @ zero )
          @ ( ite
            @ ( X8
              = ( s @ zero ) )
            @ zero
            @ ( s @ zero ) ) ) ) ),
    inference(eq_hoist,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl132,plain,
    ( ( ( s @ zero )
      = zero )
    | ( ( h @ ( s @ zero ) )
      = ( ite @ $false @ ( s @ zero ) @ ( ite @ $true @ zero @ ( s @ zero ) ) ) ) ),
    inference(eq_rw,[status(thm)],[zip_derived_cl86]) ).

thf(zip_derived_cl24_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( ite @ $true @ X1 @ X0 )
      = X1 ),
    inference('ho.refine',[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl10_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( ite @ $false @ X1 @ X0 )
      = X0 ),
    inference('ho.refine',[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl159,plain,
    ( ( ( s @ zero )
      = zero )
    | ( ( h @ ( s @ zero ) )
      = zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl24,zip_derived_cl10]) ).

thf(zip_derived_cl2,plain,
    ! [X6: $i] :
      ( ( s @ X6 )
     != zero ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl160,plain,
    ( ( h @ ( s @ zero ) )
    = zero ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl159,zip_derived_cl2]) ).

thf(zip_derived_cl203,plain,
    ( ( ( s @ zero )
     != ( s @ zero ) )
    | ( ( s @ ( s @ zero ) )
      = zero )
    | ( ( s @ ( s @ zero ) )
      = ( s @ zero ) )
    | ( ( s @ zero )
     != ( s @ zero ) )
    | ( zero != zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl103,zip_derived_cl160]) ).

thf(zip_derived_cl204,plain,
    ( ( ( s @ ( s @ zero ) )
      = ( s @ zero ) )
    | ( ( s @ ( s @ zero ) )
      = zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl203]) ).

thf(zip_derived_cl2_006,plain,
    ! [X6: $i] :
      ( ( s @ X6 )
     != zero ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X7: $i] :
      ( ( s @ X7 )
     != X7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl205,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl204,zip_derived_cl2,zip_derived_cl3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : NUN025^3 : TPTP v8.1.2. Released v6.4.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.a8DNeM3OBo true
% 0.13/0.34  % Computer : n016.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  : 300
% 0.13/0.34  % DateTime : Sun Aug 27 10:10:43 EDT 2023
% 0.19/0.35  % CPUTime  : 
% 0.19/0.35  % Running portfolio for 300 s
% 0.19/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35  % Number of cores: 8
% 0.19/0.35  % Python version: Python 3.6.8
% 0.19/0.35  % Running in HO mode
% 0.21/0.66  % Total configuration time : 828
% 0.21/0.66  % Estimated wc time : 1656
% 0.21/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.79  % Solved by lams/40_c.s.sh.
% 0.21/0.79  % done 29 iterations in 0.039s
% 0.21/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.79  % SZS output start Refutation
% See solution above
% 1.32/0.79  
% 1.32/0.79  
% 1.32/0.79  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.32/0.80  % Terminating...
% 1.62/0.86  % Runner terminated.
% 1.92/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------