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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV048+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.nLk2GHLUns 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 : Thu Oct  2 04:59:58 PM UTC 2025

% Result   : Theorem 0.55s 0.78s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (  18 unt;   0 typ;   0 def)
%            Number of atoms       :   49 (  29 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  243 (  17   ~;   8   |;  12   &; 200   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  20 usr;  13 con; 0-3 aty)
%            Number of variables   :    6 (   0   ^;   6   !;   0   ?;   6   :)

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

thf(n135300_type,type,
    n135300: $i ).

thf(tptp_minus_1_type,type,
    tptp_minus_1: $i ).

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

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

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

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

thf(pv35_type,type,
    pv35: $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(q_type,type,
    q: $i ).

thf(n5_type,type,
    n5: $i ).

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

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

thf(pv78_type,type,
    pv78: $i ).

thf(succ_type,type,
    succ: $i > $i ).

thf(pv79_type,type,
    pv79: $i ).

thf(pv81_type,type,
    pv81: $i ).

thf(true_type,type,
    true: $o ).

thf(ttrue,axiom,
    true ).

thf(zip_derived_cl78,plain,
    true,
    inference(cnf,[status(esa)],[ttrue]) ).

thf(cl5_nebula_norm_0016,conjecture,
    ( ( ( pv78
        = ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) )
      & ( leq @ n0 @ pv35 )
      & ( leq @ pv35 @ ( minus @ n5 @ n1 ) ) )
   => ( ( ( n0 != pv78 )
       => ( ( n0
            = ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( a_select3 @ q @ pv81 @ pv35 ) @ ( a_select2 @ x @ pv81 ) ) ) )
          & ( pv78
            = ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) )
          & ( leq @ n0 @ pv35 )
          & ( leq @ pv35 @ ( minus @ n5 @ n1 ) ) ) )
      & ( ( n0 = pv78 )
       => true ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( pv78
          = ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) )
        & ( leq @ n0 @ pv35 )
        & ( leq @ pv35 @ ( minus @ n5 @ n1 ) ) )
     => ( ( ( n0 != pv78 )
         => ( ( n0
              = ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( a_select3 @ q @ pv81 @ pv35 ) @ ( a_select2 @ x @ pv81 ) ) ) )
            & ( pv78
              = ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) )
            & ( leq @ n0 @ pv35 )
            & ( leq @ pv35 @ ( minus @ n5 @ n1 ) ) ) )
        & ( ( n0 = pv78 )
         => true ) ) ),
    inference('cnf.neg',[status(esa)],[cl5_nebula_norm_0016]) ).

thf(zip_derived_cl121,plain,
    ( ~ ( leq @ pv35 @ ( minus @ n5 @ n1 ) )
    | ~ ( leq @ n0 @ pv35 )
    | ( pv78
     != ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) )
    | ( n0
     != ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( a_select3 @ q @ pv81 @ pv35 ) @ ( a_select2 @ x @ pv81 ) ) ) )
    | ~ true ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl652,plain,
    ( ( n0
     != ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( a_select3 @ q @ pv81 @ pv35 ) @ ( a_select2 @ x @ pv81 ) ) ) )
    | ( pv78
     != ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) )
    | ~ ( leq @ n0 @ pv35 )
    | ~ ( leq @ pv35 @ ( minus @ n5 @ n1 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl78,zip_derived_cl121]) ).

thf(zip_derived_cl118,plain,
    ( pv78
    = ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119,plain,
    leq @ n0 @ pv35,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120,plain,
    leq @ pv35 @ ( minus @ n5 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl688,plain,
    ( ( n0
     != ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( a_select3 @ q @ pv81 @ pv35 ) @ ( a_select2 @ x @ pv81 ) ) ) )
    | ( pv78 != pv78 ) ),
    inference(demod,[status(thm)],[zip_derived_cl652,zip_derived_cl118,zip_derived_cl119,zip_derived_cl120]) ).

thf(zip_derived_cl689,plain,
    ( n0
   != ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( a_select3 @ q @ pv81 @ pv35 ) @ ( a_select2 @ x @ pv81 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl688]) ).

thf(pred_minus_1,axiom,
    ! [X: $i] :
      ( ( minus @ X @ n1 )
      = ( pred @ X ) ) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl695,plain,
    ( n0
   != ( sum @ n0 @ ( pred @ n0 ) @ ( times @ ( a_select3 @ q @ pv81 @ pv35 ) @ ( a_select2 @ x @ pv81 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl689,zip_derived_cl59]) ).

thf(succ_tptp_minus_1,axiom,
    ( ( succ @ tptp_minus_1 )
    = n0 ) ).

thf(zip_derived_cl48,plain,
    ( ( succ @ tptp_minus_1 )
    = n0 ),
    inference(cnf,[status(esa)],[succ_tptp_minus_1]) ).

thf(pred_succ,axiom,
    ! [X: $i] :
      ( ( pred @ ( succ @ X ) )
      = X ) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i] :
      ( ( pred @ ( succ @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[pred_succ]) ).

thf(zip_derived_cl784,plain,
    ( ( pred @ n0 )
    = tptp_minus_1 ),
    inference('sup+',[status(thm)],[zip_derived_cl48,zip_derived_cl60]) ).

thf(sum_plus_base,axiom,
    ! [Body: $i] :
      ( ( sum @ n0 @ tptp_minus_1 @ Body )
      = n0 ) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i] :
      ( ( sum @ n0 @ tptp_minus_1 @ X0 )
      = n0 ),
    inference(cnf,[status(esa)],[sum_plus_base]) ).

thf(zip_derived_cl813,plain,
    n0 != n0,
    inference(demod,[status(thm)],[zip_derived_cl695,zip_derived_cl784,zip_derived_cl46]) ).

thf(zip_derived_cl814,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl813]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV048+1 : TPTP v9.2.0. Bugfixed v3.3.0.
% 0.04/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nLk2GHLUns 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 : Wed Oct  1 12:40:08 EDT 2025
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.54/0.65  % Total configuration time : 435
% 0.54/0.65  % Estimated wc time : 1092
% 0.54/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.78  % Solved by fo/fo3_bce.sh.
% 0.55/0.78  % BCE start: 125
% 0.55/0.78  % BCE eliminated: 0
% 0.55/0.78  % PE start: 125
% 0.55/0.78  logic: eq
% 0.55/0.78  % PE eliminated: 4
% 0.55/0.78  % done 80 iterations in 0.062s
% 0.55/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.78  % SZS output start Refutation
% See solution above
% 0.55/0.78  
% 0.55/0.78  
% 0.55/0.78  % Terminating...
% 0.60/0.85  % Runner terminated.
% 1.55/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------