%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV161+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FhdPZmIYvx true

% Computer : n011.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 00:08:07 EDT 2023

% Result   : Theorem 1.22s 0.97s
% Output   : Refutation 1.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   33 (  10 unt;  13 typ;   0 def)
%            Number of atoms       :   48 (  17 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  172 (  16   ~;   9   |;  11   &; 128   @)
%                                         (   1 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   9 con; 0-3 aty)
%            Number of variables   :   13 (   0   ^;  13   !;   0   ?;  13   :)

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(cl5_nebula_norm_0011,conjecture,
    ( ( ( ( sum @ n0 @ n4 @ ( a_select3 @ q @ pv10 @ tptp_sum_index ) )
        = n1 )
      & ( leq @ n0 @ pv10 )
      & ( leq @ pv10 @ n135299 )
      & ! [A: $i] :
          ( ( ( leq @ n0 @ A )
            & ( leq @ A @ ( pred @ pv10 ) ) )
         => ( ( sum @ n0 @ n4 @ ( a_select3 @ q @ A @ tptp_sum_index ) )
            = n1 ) ) )
   => ! [B: $i] :
        ( ( ( leq @ n0 @ B )
          & ( leq @ B @ pv10 ) )
       => ( ( sum @ n0 @ n4 @ ( a_select3 @ q @ B @ tptp_sum_index ) )
          = n1 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( ( sum @ n0 @ n4 @ ( a_select3 @ q @ pv10 @ tptp_sum_index ) )
          = n1 )
        & ( leq @ n0 @ pv10 )
        & ( leq @ pv10 @ n135299 )
        & ! [A: $i] :
            ( ( ( leq @ n0 @ A )
              & ( leq @ A @ ( pred @ pv10 ) ) )
           => ( ( sum @ n0 @ n4 @ ( a_select3 @ q @ A @ tptp_sum_index ) )
              = n1 ) ) )
     => ! [B: $i] :
          ( ( ( leq @ n0 @ B )
            & ( leq @ B @ pv10 ) )
         => ( ( sum @ n0 @ n4 @ ( a_select3 @ q @ B @ tptp_sum_index ) )
            = n1 ) ) ),
    inference('cnf.neg',[status(esa)],[cl5_nebula_norm_0011]) ).

thf(zip_derived_cl46,plain,
    ( ( sum @ n0 @ n4 @ ( a_select3 @ q @ sk_ @ tptp_sum_index ) )
   != n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47,plain,
    leq @ sk_ @ pv10,
    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_cl191,plain,
    ( ( sk_ = pv10 )
    | ( gt @ pv10 @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl3]) ).

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(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ( ( sum @ n0 @ n4 @ ( a_select3 @ q @ X0 @ tptp_sum_index ) )
        = n1 )
      | ~ ( leq @ X0 @ ( pred @ pv10 ) )
      | ~ ( leq @ n0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46_001,plain,
    ( ( sum @ n0 @ n4 @ ( a_select3 @ q @ sk_ @ tptp_sum_index ) )
   != n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl945,plain,
    ( ( n1 != n1 )
    | ~ ( leq @ n0 @ sk_ )
    | ~ ( leq @ sk_ @ ( pred @ pv10 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl46]) ).

thf(zip_derived_cl48,plain,
    leq @ n0 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl946,plain,
    ( ( n1 != n1 )
    | ~ ( leq @ sk_ @ ( pred @ pv10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl945,zip_derived_cl48]) ).

thf(zip_derived_cl947,plain,
    ~ ( leq @ sk_ @ ( pred @ pv10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl946]) ).

thf(zip_derived_cl948,plain,
    ~ ( gt @ pv10 @ sk_ ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl947]) ).

thf(zip_derived_cl949,plain,
    sk_ = pv10,
    inference('sup-',[status(thm)],[zip_derived_cl191,zip_derived_cl948]) ).

thf(zip_derived_cl42,plain,
    ( ( sum @ n0 @ n4 @ ( a_select3 @ q @ pv10 @ tptp_sum_index ) )
    = n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl950,plain,
    n1 != n1,
    inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl949,zip_derived_cl42]) ).

thf(zip_derived_cl951,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl950]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15  % Problem  : SWV161+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.09/0.16  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FhdPZmIYvx true
% 0.16/0.38  % Computer : n011.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit : 300
% 0.16/0.38  % WCLimit  : 300
% 0.16/0.38  % DateTime : Tue Aug 29 10:41:11 EDT 2023
% 0.16/0.38  % CPUTime  : 
% 0.16/0.38  % Running portfolio for 300 s
% 0.16/0.38  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.38  % Number of cores: 8
% 0.16/0.38  % Python version: Python 3.6.8
% 0.16/0.38  % Running in FO mode
% 0.23/0.59  % Total configuration time : 435
% 0.23/0.59  % Estimated wc time : 1092
% 0.23/0.59  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.75/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.75/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.75/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.75/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.75/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.75/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.22/0.97  % Solved by fo/fo4.sh.
% 1.22/0.97  % done 389 iterations in 0.205s
% 1.22/0.97  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.22/0.97  % SZS output start Refutation
% See solution above
% 1.22/0.97  
% 1.22/0.97  
% 1.22/0.97  % Terminating...
% 1.57/1.02  % Runner terminated.
% 1.57/1.04  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------