TSTP Solution File: SWV153+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV153+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.slw9Cs5BN0 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 00:08:05 EDT 2023

% Result   : Theorem 1.73s 1.02s
% Output   : Refutation 1.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   44 (  11 unt;  22 typ;   0 def)
%            Number of atoms       :   64 (  22 equ;   0 cnn)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :  555 (  20   ~;  11   |;  19   &; 493   @)
%                                         (   1 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   24 (  22 usr;  13 con; 0-3 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(pv12_type,type,
    pv12: $i ).

thf(pred_type,type,
    pred: $i > $i ).

thf(a_select3_type,type,
    a_select3: $i > $i > $i > $i ).

thf(minus_type,type,
    minus: $i > $i > $i ).

thf(sqrt_type,type,
    sqrt: $i > $i ).

thf(sum_type,type,
    sum: $i > $i > $i > $i ).

thf(x_type,type,
    x: $i ).

thf(n1_type,type,
    n1: $i ).

thf(leq_type,type,
    leq: $i > $i > $o ).

thf(gt_type,type,
    gt: $i > $i > $o ).

thf(divide_type,type,
    divide: $i > $i > $i ).

thf(n0_type,type,
    n0: $i ).

thf(a_select2_type,type,
    a_select2: $i > $i > $i ).

thf(pv70_type,type,
    pv70: $i ).

thf(tptp_sum_index_type,type,
    tptp_sum_index: $i ).

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

thf(pv10_type,type,
    pv10: $i ).

thf(center_type,type,
    center: $i ).

thf(q_type,type,
    q: $i ).

thf(n135299_type,type,
    n135299: $i ).

thf(times_type,type,
    times: $i > $i > $i ).

thf(n4_type,type,
    n4: $i ).

thf(leq_gt_pred,axiom,
    ! [X: $i,Y: $i] :
      ( ( leq @ X @ ( pred @ Y ) )
    <=> ( gt @ Y @ X ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ ( pred @ X1 ) )
      | ~ ( gt @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[leq_gt_pred]) ).

thf(cl5_nebula_norm_0003,conjecture,
    ( ( ( pv70
        = ( sum @ n0 @ n4 @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) )
      & ( leq @ n0 @ pv10 )
      & ( leq @ n0 @ pv12 )
      & ( leq @ pv10 @ n135299 )
      & ( leq @ pv12 @ n4 )
      & ! [A: $i] :
          ( ( ( leq @ n0 @ A )
            & ( leq @ A @ ( pred @ pv12 ) ) )
         => ( ( a_select3 @ q @ pv10 @ A )
            = ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ A @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ A @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ n4 @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) ) )
      & ! [B: $i] :
          ( ( ( leq @ n0 @ B )
            & ( leq @ B @ ( pred @ pv10 ) ) )
         => ( ( sum @ n0 @ n4 @ ( a_select3 @ q @ B @ tptp_sum_index ) )
            = n1 ) ) )
   => ! [C: $i] :
        ( ( ( leq @ n0 @ C )
          & ( leq @ C @ pv12 ) )
       => ( ( pv12 != C )
         => ( ( a_select3 @ q @ pv10 @ C )
            = ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ C @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ C @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ n4 @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( pv70
          = ( sum @ n0 @ n4 @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) )
        & ( leq @ n0 @ pv10 )
        & ( leq @ n0 @ pv12 )
        & ( leq @ pv10 @ n135299 )
        & ( leq @ pv12 @ n4 )
        & ! [A: $i] :
            ( ( ( leq @ n0 @ A )
              & ( leq @ A @ ( pred @ pv12 ) ) )
           => ( ( a_select3 @ q @ pv10 @ A )
              = ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ A @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ A @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ n4 @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) ) )
        & ! [B: $i] :
            ( ( ( leq @ n0 @ B )
              & ( leq @ B @ ( pred @ pv10 ) ) )
           => ( ( sum @ n0 @ n4 @ ( a_select3 @ q @ B @ tptp_sum_index ) )
              = n1 ) ) )
     => ! [C: $i] :
          ( ( ( leq @ n0 @ C )
            & ( leq @ C @ pv12 ) )
         => ( ( pv12 != C )
           => ( ( a_select3 @ q @ pv10 @ C )
              = ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ C @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ C @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ n4 @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cl5_nebula_norm_0003]) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i] :
      ( ( ( a_select3 @ q @ pv10 @ X0 )
        = ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ X0 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ X0 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ n4 @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) )
      | ~ ( leq @ X0 @ ( pred @ pv12 ) )
      | ~ ( leq @ n0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49,plain,
    ( pv70
    = ( sum @ n0 @ n4 @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1717,plain,
    ! [X0: $i] :
      ( ( ( a_select3 @ q @ pv10 @ X0 )
        = ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ X0 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ X0 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ pv70 ) )
      | ~ ( leq @ X0 @ ( pred @ pv12 ) )
      | ~ ( leq @ n0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl49]) ).

thf(zip_derived_cl57,plain,
    ( ( a_select3 @ q @ pv10 @ sk__1 )
   != ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__1 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__1 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ n4 @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49_001,plain,
    ( pv70
    = ( sum @ n0 @ n4 @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1837,plain,
    ( ( a_select3 @ q @ pv10 @ sk__1 )
   != ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__1 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__1 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ pv70 ) ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl49]) ).

thf(zip_derived_cl1838,plain,
    ( ( ( a_select3 @ q @ pv10 @ sk__1 )
     != ( a_select3 @ q @ pv10 @ sk__1 ) )
    | ~ ( leq @ n0 @ sk__1 )
    | ~ ( leq @ sk__1 @ ( pred @ pv12 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1717,zip_derived_cl1837]) ).

thf(zip_derived_cl59,plain,
    leq @ n0 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1839,plain,
    ( ( ( a_select3 @ q @ pv10 @ sk__1 )
     != ( a_select3 @ q @ pv10 @ sk__1 ) )
    | ~ ( leq @ sk__1 @ ( pred @ pv12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1838,zip_derived_cl59]) ).

thf(zip_derived_cl1840,plain,
    ~ ( leq @ sk__1 @ ( pred @ pv12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1839]) ).

thf(zip_derived_cl1841,plain,
    ~ ( gt @ pv12 @ sk__1 ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1840]) ).

thf(zip_derived_cl58,plain,
    leq @ sk__1 @ pv12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(leq_gt2,axiom,
    ! [X: $i,Y: $i] :
      ( ( ( leq @ X @ Y )
        & ( X != Y ) )
     => ( gt @ Y @ X ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( gt @ X0 @ X1 )
      | ( X1 = X0 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[leq_gt2]) ).

thf(zip_derived_cl251,plain,
    ( ( sk__1 = pv12 )
    | ( gt @ pv12 @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl3]) ).

thf(zip_derived_cl56,plain,
    pv12 != sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl252,plain,
    gt @ pv12 @ sk__1,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl251,zip_derived_cl56]) ).

thf(zip_derived_cl1842,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1841,zip_derived_cl252]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV153+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.slw9Cs5BN0 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 06:11:51 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
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.73/1.02  % Solved by fo/fo4.sh.
% 1.73/1.02  % done 637 iterations in 0.222s
% 1.73/1.02  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.73/1.02  % SZS output start Refutation
% See solution above
% 1.73/1.02  
% 1.73/1.02  
% 1.73/1.02  % Terminating...
% 2.14/1.09  % Runner terminated.
% 2.14/1.11  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------