TSTP Solution File: SWV487+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV487+1 : 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.UHWGduD6t4 true

% Computer : n007.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 00:10:11 EDT 2023

% Result   : Theorem 7.81s 1.75s
% Output   : Refutation 7.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   65 (  23 unt;  12 typ;   0 def)
%            Number of atoms       :  134 (  31 equ;   0 cnn)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  423 (  58   ~;  56   |;  14   &; 284   @)
%                                         (   3 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   55 (   0   ^;  54   !;   1   ?;  55   :)

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

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

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

thf(sk__1_type,type,
    sk__1: $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(sk__2_type,type,
    sk__2: $i ).

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

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

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

thf(sk__type,type,
    sk_: $i > $i > $i ).

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

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

thf(zip_derived_cl19,plain,
    int_less @ sk__2 @ 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_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( int_leq @ X0 @ X1 )
      | ~ ( int_less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[int_leq]) ).

thf(zip_derived_cl27,plain,
    int_leq @ sk__2 @ sk__1,
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl1]) ).

thf(zip_derived_cl21,plain,
    int_leq @ sk__1 @ n,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( int_less @ X1 @ X0 )
      | ~ ( int_leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[int_leq]) ).

thf(zip_derived_cl23,plain,
    ( ( sk__1 = n )
    | ( int_less @ sk__1 @ n ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl0]) ).

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

thf(int_less_transitive,axiom,
    ! [I: $i,J: $i,K: $i] :
      ( ( ( int_less @ I @ J )
        & ( int_less @ J @ K ) )
     => ( int_less @ I @ K ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( int_less @ X0 @ X1 )
      | ~ ( int_less @ X1 @ X2 )
      | ( int_less @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[int_less_transitive]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i] :
      ( ~ ( int_less @ sk__1 @ X0 )
      | ( int_less @ sk__2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl3]) ).

thf(zip_derived_cl53,plain,
    ( ( sk__1 = n )
    | ( int_less @ sk__2 @ n ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl34]) ).

thf(zip_derived_cl1_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( int_leq @ X0 @ X1 )
      | ~ ( int_less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[int_leq]) ).

thf(zip_derived_cl62,plain,
    ( ( sk__1 = n )
    | ( int_leq @ sk__2 @ n ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl1]) ).

thf(zip_derived_cl20,plain,
    int_leq @ int_one @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19_003,plain,
    int_less @ sk__2 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(plus_and_inverse,axiom,
    ! [I: $i,J: $i] :
      ( ( int_less @ I @ J )
    <=> ? [K: $i] :
          ( ( int_less @ int_zero @ K )
          & ( ( plus @ I @ K )
            = J ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( plus @ X1 @ ( sk_ @ X0 @ X1 ) )
        = X0 )
      | ~ ( int_less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[plus_and_inverse]) ).

thf(zip_derived_cl136,plain,
    ( ( plus @ sk__2 @ ( sk_ @ sk__1 @ sk__2 ) )
    = sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl11]) ).

thf(zip_derived_cl21_004,plain,
    int_leq @ sk__1 @ n,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( int_leq @ X0 @ n )
      | ~ ( int_leq @ int_one @ X0 )
      | ~ ( int_leq @ int_one @ X1 )
      | ~ ( int_leq @ X1 @ n )
      | ~ ( int_leq @ int_one @ X2 )
      | ~ ( int_leq @ X2 @ X1 )
      | ( ( a @ ( plus @ X2 @ X3 ) @ X2 )
        = real_zero )
      | ( X0
       != ( plus @ X1 @ X3 ) )
      | ~ ( int_less @ int_zero @ X3 ) ),
    inference(cnf,[status(esa)],[qiu]) ).

thf(zip_derived_cl238,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( int_leq @ int_one @ sk__1 )
      | ~ ( int_leq @ int_one @ X0 )
      | ~ ( int_leq @ X0 @ n )
      | ~ ( int_leq @ int_one @ X1 )
      | ~ ( int_leq @ X1 @ X0 )
      | ( ( a @ ( plus @ X1 @ X2 ) @ X1 )
        = real_zero )
      | ( sk__1
       != ( plus @ X0 @ X2 ) )
      | ~ ( int_less @ int_zero @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl17]) ).

thf(zip_derived_cl19_005,plain,
    int_less @ sk__2 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20_006,plain,
    int_leq @ int_one @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(one_successor_of_zero,axiom,
    ! [I: $i] :
      ( ( int_less @ int_zero @ I )
    <=> ( int_leq @ int_one @ I ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( ( int_less @ int_zero @ X0 )
      | ~ ( int_leq @ int_one @ X0 ) ),
    inference(cnf,[status(esa)],[one_successor_of_zero]) ).

thf(zip_derived_cl42,plain,
    int_less @ int_zero @ sk__2,
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl14]) ).

thf(zip_derived_cl3_007,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( int_less @ X0 @ X1 )
      | ~ ( int_less @ X1 @ X2 )
      | ( int_less @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[int_less_transitive]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i] :
      ( ~ ( int_less @ sk__2 @ X0 )
      | ( int_less @ int_zero @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl3]) ).

thf(zip_derived_cl55,plain,
    int_less @ int_zero @ sk__1,
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl44]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ( int_leq @ int_one @ X0 )
      | ~ ( int_less @ int_zero @ X0 ) ),
    inference(cnf,[status(esa)],[one_successor_of_zero]) ).

thf(zip_derived_cl58,plain,
    int_leq @ int_one @ sk__1,
    inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl13]) ).

thf(zip_derived_cl246,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( int_leq @ int_one @ X0 )
      | ~ ( int_leq @ X0 @ n )
      | ~ ( int_leq @ int_one @ X1 )
      | ~ ( int_leq @ X1 @ X0 )
      | ( ( a @ ( plus @ X1 @ X2 ) @ X1 )
        = real_zero )
      | ( sk__1
       != ( plus @ X0 @ X2 ) )
      | ~ ( int_less @ int_zero @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl238,zip_derived_cl58]) ).

thf(zip_derived_cl7485,plain,
    ! [X0: $i] :
      ( ~ ( int_leq @ int_one @ X0 )
      | ~ ( int_leq @ X0 @ n )
      | ~ ( int_leq @ int_one @ sk__2 )
      | ~ ( int_leq @ sk__2 @ X0 )
      | ( ( a @ sk__1 @ sk__2 )
        = real_zero )
      | ( sk__1
       != ( plus @ X0 @ ( sk_ @ sk__1 @ sk__2 ) ) )
      | ~ ( int_less @ int_zero @ ( sk_ @ sk__1 @ sk__2 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl136,zip_derived_cl246]) ).

thf(zip_derived_cl20_008,plain,
    int_leq @ int_one @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19_009,plain,
    int_less @ sk__2 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ( int_less @ int_zero @ ( sk_ @ X0 @ X1 ) )
      | ~ ( int_less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[plus_and_inverse]) ).

thf(zip_derived_cl109,plain,
    int_less @ int_zero @ ( sk_ @ sk__1 @ sk__2 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl10]) ).

thf(zip_derived_cl7513,plain,
    ! [X0: $i] :
      ( ~ ( int_leq @ int_one @ X0 )
      | ~ ( int_leq @ X0 @ n )
      | ~ ( int_leq @ sk__2 @ X0 )
      | ( ( a @ sk__1 @ sk__2 )
        = real_zero )
      | ( sk__1
       != ( plus @ X0 @ ( sk_ @ sk__1 @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7485,zip_derived_cl20,zip_derived_cl109]) ).

thf(zip_derived_cl18,plain,
    ( ( a @ sk__1 @ sk__2 )
   != real_zero ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7514,plain,
    ! [X0: $i] :
      ( ~ ( int_leq @ int_one @ X0 )
      | ~ ( int_leq @ X0 @ n )
      | ~ ( int_leq @ sk__2 @ X0 )
      | ( sk__1
       != ( plus @ X0 @ ( sk_ @ sk__1 @ sk__2 ) ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl7513,zip_derived_cl18]) ).

thf(zip_derived_cl7565,plain,
    ( ~ ( int_leq @ sk__2 @ n )
    | ~ ( int_leq @ sk__2 @ sk__2 )
    | ( sk__1
     != ( plus @ sk__2 @ ( sk_ @ sk__1 @ sk__2 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl7514]) ).

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

thf(zip_derived_cl25,plain,
    ! [X0: $i] : ( int_leq @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl136_010,plain,
    ( ( plus @ sk__2 @ ( sk_ @ sk__1 @ sk__2 ) )
    = sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl11]) ).

thf(zip_derived_cl7589,plain,
    ( ~ ( int_leq @ sk__2 @ n )
    | ( sk__1 != sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl7565,zip_derived_cl25,zip_derived_cl136]) ).

thf(zip_derived_cl7590,plain,
    ~ ( int_leq @ sk__2 @ n ),
    inference(simplify,[status(thm)],[zip_derived_cl7589]) ).

thf(zip_derived_cl7596,plain,
    sk__1 = n,
    inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl7590]) ).

thf(zip_derived_cl7590_011,plain,
    ~ ( int_leq @ sk__2 @ n ),
    inference(simplify,[status(thm)],[zip_derived_cl7589]) ).

thf(zip_derived_cl7600,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl7596,zip_derived_cl7590]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV487+1 : 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.UHWGduD6t4 true
% 0.14/0.34  % Computer : n007.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Aug 29 05:54:43 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.54/0.63  % Total configuration time : 435
% 0.54/0.63  % Estimated wc time : 1092
% 0.54/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.81/1.75  % Solved by fo/fo13.sh.
% 7.81/1.75  % done 955 iterations in 0.976s
% 7.81/1.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.81/1.75  % SZS output start Refutation
% See solution above
% 7.81/1.75  
% 7.81/1.75  
% 7.81/1.75  % Terminating...
% 8.81/1.85  % Runner terminated.
% 8.81/1.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------