TSTP Solution File: ITP101^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP101^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hX33qtllK0 true

% Computer : n023.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 05:22:11 EDT 2023

% Result   : Theorem 0.54s 0.76s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   23 (   7 unt;  12 typ;   0 def)
%            Number of atoms       :   24 (  11 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  112 (  11   ~;   4   |;   3   &;  88   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :    3 (   0   ^;   3   !;   0   ?;   3   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nat_type,type,
    nat: $tType ).

thf(list_a_type,type,
    list_a: $tType ).

thf(a_type,type,
    a: $tType ).

thf(size_size_list_a_type,type,
    size_size_list_a: list_a > nat ).

thf(minus_minus_nat_type,type,
    minus_minus_nat: nat > nat > nat ).

thf(f_type,type,
    f: nat > a ).

thf(ord_less_nat_type,type,
    ord_less_nat: nat > nat > $o ).

thf(ys_type,type,
    ys: list_a ).

thf(g_type,type,
    g: nat > a ).

thf(x_type,type,
    x: nat ).

thf(nth_a_type,type,
    nth_a: list_a > nat > a ).

thf(xs_type,type,
    xs: list_a ).

thf(conj_1,axiom,
    ! [X6: nat] :
      ( ( ~ ( ord_less_nat @ X6 @ ( size_size_list_a @ ys ) )
       => ( ( ( ord_less_nat @ X6 @ ( size_size_list_a @ ys ) )
           => ( ( nth_a @ xs @ X6 )
              = ( g @ ( minus_minus_nat @ X6 @ ( size_size_list_a @ ys ) ) ) ) )
          & ( ~ ( ord_less_nat @ X6 @ ( size_size_list_a @ ys ) )
           => ( ( f @ ( minus_minus_nat @ X6 @ ( size_size_list_a @ xs ) ) )
              = ( g @ ( minus_minus_nat @ X6 @ ( size_size_list_a @ ys ) ) ) ) ) ) )
      & ( ( ord_less_nat @ X6 @ ( size_size_list_a @ ys ) )
       => ( ( ( ord_less_nat @ X6 @ ( size_size_list_a @ ys ) )
           => ( ( nth_a @ xs @ X6 )
              = ( nth_a @ ys @ X6 ) ) )
          & ( ~ ( ord_less_nat @ X6 @ ( size_size_list_a @ ys ) )
           => ( ( f @ ( minus_minus_nat @ X6 @ ( size_size_list_a @ xs ) ) )
              = ( nth_a @ ys @ X6 ) ) ) ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: nat] :
      ( ~ ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
      | ( ( nth_a @ xs @ X0 )
        = ( nth_a @ ys @ X0 ) )
      | ~ ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) ) ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl22,plain,
    ! [X0: nat] :
      ( ( ( nth_a @ xs @ X0 )
        = ( nth_a @ ys @ X0 ) )
      | ~ ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl13]) ).

thf(conj_3,conjecture,
    ( ( nth_a @ xs @ x )
    = ( nth_a @ ys @ x ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( nth_a @ xs @ x )
   != ( nth_a @ ys @ x ) ),
    inference('cnf.neg',[status(esa)],[conj_3]) ).

thf(zip_derived_cl18,plain,
    ( ( nth_a @ xs @ x )
   != ( nth_a @ ys @ x ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23,plain,
    ( ( ( nth_a @ ys @ x )
     != ( nth_a @ ys @ x ) )
    | ~ ( ord_less_nat @ x @ ( size_size_list_a @ ys ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl18]) ).

thf(conj_2,axiom,
    ord_less_nat @ x @ ( size_size_list_a @ ys ) ).

thf(zip_derived_cl17,plain,
    ord_less_nat @ x @ ( size_size_list_a @ ys ),
    inference(cnf,[status(esa)],[conj_2]) ).

thf(zip_derived_cl25,plain,
    ( ( nth_a @ ys @ x )
   != ( nth_a @ ys @ x ) ),
    inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl17]) ).

thf(zip_derived_cl26,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl25]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP101^1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hX33qtllK0 true
% 0.13/0.34  % Computer : n023.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 16:19:26 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.53/0.65  % Total configuration time : 828
% 0.53/0.65  % Estimated wc time : 1656
% 0.53/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.54/0.76  % Solved by lams/40_c_ic.sh.
% 0.54/0.76  % done 6 iterations in 0.022s
% 0.54/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.76  % SZS output start Refutation
% See solution above
% 0.54/0.76  
% 0.54/0.76  
% 0.54/0.76  % Terminating...
% 1.59/0.86  % Runner terminated.
% 1.59/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------