TSTP Solution File: SWV488+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV488+2 : 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.28Gx7U1ai9 true

% Computer : n001.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 : Fri Sep  1 00:10:12 EDT 2023

% Result   : Theorem 0.19s 0.82s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   36 (  13 unt;  12 typ;   0 def)
%            Number of atoms       :   73 (  24 equ;   0 cnn)
%            Maximal formula atoms :   17 (   3 avg)
%            Number of connectives :  209 (  28   ~;  24   |;  14   &; 132   @)
%                                         (   1 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :   25 (   0   ^;  25   !;   0   ?;  25   :)

% Comments : 
%------------------------------------------------------------------------------
thf(int_one_type,type,
    int_one: $i ).

thf(int_less_type,type,
    int_less: $i > $i > $o ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(real_zero_type,type,
    real_zero: $i ).

thf(int_leq_type,type,
    int_leq: $i > $i > $o ).

thf(n_type,type,
    n: $i ).

thf(lu_type,type,
    lu: $i > $i > $i ).

thf(a_type,type,
    a: $i > $i > $i ).

thf(real_one_type,type,
    real_one: $i ).

thf(plus_type,type,
    plus: $i > $i > $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(int_zero_type,type,
    int_zero: $i ).

thf(lti,conjecture,
    ! [I: $i,J: $i] :
      ( ( ( int_leq @ int_one @ I )
        & ( int_leq @ I @ J )
        & ( int_leq @ J @ n ) )
     => ( ( I = J )
       => ( ( a @ I @ J )
         != real_zero ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [I: $i,J: $i] :
        ( ( ( int_leq @ int_one @ I )
          & ( int_leq @ I @ J )
          & ( int_leq @ J @ n ) )
       => ( ( I = J )
         => ( ( a @ I @ J )
           != real_zero ) ) ),
    inference('cnf.neg',[status(esa)],[lti]) ).

thf(zip_derived_cl23,plain,
    int_leq @ int_one @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(qil,axiom,
    ! [I: $i,J: $i] :
      ( ( ( int_leq @ int_one @ I )
        & ( int_leq @ I @ n )
        & ( int_leq @ int_one @ J )
        & ( int_leq @ J @ n ) )
     => ( ! [C: $i] :
            ( ( ( int_less @ int_zero @ C )
              & ( I
                = ( plus @ J @ C ) ) )
           => ! [K: $i] :
                ( ( ( int_leq @ int_one @ K )
                  & ( int_leq @ K @ J ) )
               => ( ( a @ ( plus @ K @ C ) @ K )
                  = ( lu @ ( plus @ K @ C ) @ K ) ) ) )
        & ! [K: $i] :
            ( ( ( int_leq @ int_one @ K )
              & ( int_leq @ K @ J ) )
           => ( ( a @ K @ K )
              = real_one ) )
        & ! [C: $i] :
            ( ( ( int_less @ int_zero @ C )
              & ( J
                = ( plus @ I @ C ) ) )
           => ! [K: $i] :
                ( ( ( int_leq @ int_one @ K )
                  & ( int_leq @ K @ I ) )
               => ( ( a @ K @ ( plus @ K @ C ) )
                  = real_zero ) ) ) ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( int_leq @ X0 @ n )
      | ~ ( int_leq @ int_one @ X0 )
      | ~ ( int_leq @ int_one @ X1 )
      | ~ ( int_leq @ X1 @ n )
      | ( ( a @ X2 @ X2 )
        = real_one )
      | ~ ( int_leq @ X2 @ X1 )
      | ~ ( int_leq @ int_one @ X2 ) ),
    inference(cnf,[status(esa)],[qil]) ).

thf(zip_derived_cl181,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( int_leq @ int_one @ X1 )
      | ~ ( int_leq @ X1 @ X0 )
      | ( ( a @ X1 @ X1 )
        = real_one )
      | ~ ( int_leq @ X0 @ n )
      | ~ ( int_leq @ int_one @ X0 )
      | ~ ( int_leq @ int_one @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl182,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( int_leq @ int_one @ X0 )
      | ~ ( int_leq @ X0 @ n )
      | ( ( a @ X1 @ X1 )
        = real_one )
      | ~ ( int_leq @ X1 @ X0 )
      | ~ ( int_leq @ int_one @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl181]) ).

thf(zip_derived_cl187,plain,
    ! [X0: $i] :
      ( ~ ( int_leq @ sk__1 @ n )
      | ( ( a @ X0 @ X0 )
        = real_one )
      | ~ ( int_leq @ X0 @ sk__1 )
      | ~ ( int_leq @ int_one @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl182]) ).

thf(zip_derived_cl21,plain,
    int_leq @ sk__2 @ n,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19,plain,
    sk__1 = sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125,plain,
    int_leq @ sk__1 @ n,
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl19]) ).

thf(zip_derived_cl190,plain,
    ! [X0: $i] :
      ( ( ( a @ X0 @ X0 )
        = real_one )
      | ~ ( int_leq @ X0 @ sk__1 )
      | ~ ( int_leq @ int_one @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl187,zip_derived_cl125]) ).

thf(zip_derived_cl20,plain,
    ( ( a @ sk__1 @ sk__2 )
    = real_zero ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19_001,plain,
    sk__1 = sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126,plain,
    ( ( a @ sk__1 @ sk__1 )
    = real_zero ),
    inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl19]) ).

thf(zip_derived_cl210,plain,
    ( ~ ( int_leq @ int_one @ sk__1 )
    | ~ ( int_leq @ sk__1 @ sk__1 )
    | ( real_one = real_zero ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl190,zip_derived_cl126]) ).

thf(zip_derived_cl23_002,plain,
    int_leq @ int_one @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(int_leq,axiom,
    ! [I: $i,J: $i] :
      ( ( int_leq @ I @ J )
    <=> ( ( int_less @ I @ J )
        | ( I = J ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( int_leq @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[int_leq]) ).

thf(zip_derived_cl129,plain,
    ! [X0: $i] : ( int_leq @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl211,plain,
    real_one = real_zero,
    inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl23,zip_derived_cl129]) ).

thf(real_constants,axiom,
    real_zero != real_one ).

thf(zip_derived_cl15,plain,
    real_zero != real_one,
    inference(cnf,[status(esa)],[real_constants]) ).

thf(zip_derived_cl212,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl211,zip_derived_cl15]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV488+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.28Gx7U1ai9 true
% 0.13/0.34  % Computer : n001.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 : Tue Aug 29 08:17:21 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.19/0.65  % Total configuration time : 435
% 0.19/0.65  % Estimated wc time : 1092
% 0.19/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.77  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.19/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.82  % Solved by fo/fo6_bce.sh.
% 0.19/0.82  % BCE start: 24
% 0.19/0.82  % BCE eliminated: 0
% 0.19/0.82  % PE start: 24
% 0.19/0.82  logic: eq
% 0.19/0.82  % PE eliminated: 0
% 0.19/0.82  % done 48 iterations in 0.034s
% 0.19/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.19/0.82  % SZS output start Refutation
% See solution above
% 0.19/0.82  
% 0.19/0.82  
% 0.19/0.82  % Terminating...
% 1.45/0.86  % Runner terminated.
% 1.45/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------