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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV156+1 : TPTP v9.2.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UxNImAlVyb 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 : Thu Oct  2 05:00:17 PM UTC 2025

% Result   : Theorem 0.61s 0.87s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   41 (  11 equ;   0 cnn)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  298 (   4   ~;   1   |;  18   &; 264   @)
%                                         (   1 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   26 (  24 usr;  13 con; 0-3 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

% 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(tptp_term_equals_type,type,
    tptp_term_equals: $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(cond_type,type,
    cond: $i > $i > $i > $i ).

thf(tptp_sum_index_type,type,
    tptp_sum_index: $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(sk__27_type,type,
    sk__27: $i ).

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

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

thf(cl5_nebula_norm_0006,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 @ ( pred @ pv10 ) ) )
       => ( ( pv10 = C )
         => ( ( sum @ n0 @ n4 @ ( cond @ ( tptp_term_equals @ pv12 @ tptp_sum_index ) @ ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ pv12 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ pv12 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ pv70 ) @ ( a_select3 @ q @ C @ tptp_sum_index ) ) )
            = n1 ) ) ) ) ).

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 @ ( pred @ pv10 ) ) )
         => ( ( pv10 = C )
           => ( ( sum @ n0 @ n4 @ ( cond @ ( tptp_term_equals @ pv12 @ tptp_sum_index ) @ ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ pv12 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ pv12 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ pv70 ) @ ( a_select3 @ q @ C @ tptp_sum_index ) ) )
              = n1 ) ) ) ),
    inference('cnf.neg',[status(esa)],[cl5_nebula_norm_0006]) ).

thf(zip_derived_cl128,plain,
    leq @ sk__27 @ ( pred @ pv10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126,plain,
    pv10 = sk__27,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl235,plain,
    leq @ pv10 @ ( pred @ pv10 ),
    inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl126]) ).

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

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ( gt @ X0 @ X1 )
      | ~ ( leq @ X1 @ ( pred @ X0 ) ) ),
    inference(cnf,[status(esa)],[leq_gt_pred]) ).

thf(zip_derived_cl272,plain,
    gt @ pv10 @ pv10,
    inference('s_sup-',[status(thm)],[zip_derived_cl235,zip_derived_cl11]) ).

thf(irreflexivity_gt,axiom,
    ! [X: $i] :
      ~ ( gt @ X @ X ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ~ ( gt @ X0 @ X0 ),
    inference(cnf,[status(esa)],[irreflexivity_gt]) ).

thf(zip_derived_cl287,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV156+1 : TPTP v9.2.0. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UxNImAlVyb 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 : Wed Oct  1 12:29:53 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.57/0.67  % Total configuration time : 435
% 0.57/0.67  % Estimated wc time : 1092
% 0.57/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.61/0.87  % Solved by fo/fo1_av.sh.
% 0.61/0.87  % done 77 iterations in 0.051s
% 0.61/0.87  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.61/0.87  % SZS output start Refutation
% See solution above
% 0.61/0.87  
% 0.61/0.87  
% 0.61/0.87  % Terminating...
% 1.77/1.00  % Runner terminated.
% 1.77/1.02  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------