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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV164+1 : TPTP v9.2.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fzey5820V2 true

% Computer : n009.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 05:00:18 PM UTC 2025

% Result   : Theorem 0.54s 0.84s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   38 (   6 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  279 (   9   ~;   4   |;   9   &; 249   @)
%                                         (   1 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   30 (  28 usr;  17 con; 0-3 aty)
%            Number of variables   :   18 (   0   ^;  18   !;   0   ?;  18   :)

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

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

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

thf(sigma_type,type,
    sigma: $i ).

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

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

thf(n2_type,type,
    n2: $i ).

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

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

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

thf(exp_type,type,
    exp: $i > $i ).

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

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

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

thf(tptp_minus_2_type,type,
    tptp_minus_2: $i ).

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

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

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

thf(tptp_pi_type,type,
    tptp_pi: $i ).

thf(rho_type,type,
    rho: $i ).

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

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

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

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

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

thf(mu_type,type,
    mu: $i ).

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

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

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

thf(zip_derived_cl87,plain,
    ( ( succ @ tptp_minus_1 )
    = n0 ),
    inference(cnf,[status(esa)],[succ_tptp_minus_1]) ).

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

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ( gt @ ( succ @ X0 ) @ X1 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[leq_succ_gt_equiv]) ).

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_cl1082,plain,
    ! [X0: $i] :
      ~ ( leq @ ( succ @ X0 ) @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl2]) ).

thf(zip_derived_cl1091,plain,
    ~ ( leq @ n0 @ tptp_minus_1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl1082]) ).

thf(cl5_nebula_norm_0014,conjecture,
    ( ( ( 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 @ tptp_minus_1 ) )
       => ( ( a_select3 @ q @ pv10 @ B )
          = ( divide @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ B ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ B ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ B ) @ ( a_select2 @ sigma @ B ) ) ) ) @ ( a_select2 @ rho @ B ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ B ) ) ) @ ( sum @ n0 @ n4 @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ tptp_sum_index ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ tptp_sum_index ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ tptp_sum_index ) @ ( a_select2 @ sigma @ tptp_sum_index ) ) ) ) @ ( a_select2 @ rho @ tptp_sum_index ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ tptp_sum_index ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( 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 @ tptp_minus_1 ) )
         => ( ( a_select3 @ q @ pv10 @ B )
            = ( divide @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ B ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ B ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ B ) @ ( a_select2 @ sigma @ B ) ) ) ) @ ( a_select2 @ rho @ B ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ B ) ) ) @ ( sum @ n0 @ n4 @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ tptp_sum_index ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ tptp_sum_index ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ tptp_sum_index ) @ ( a_select2 @ sigma @ tptp_sum_index ) ) ) ) @ ( a_select2 @ rho @ tptp_sum_index ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ tptp_sum_index ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cl5_nebula_norm_0014]) ).

thf(zip_derived_cl123,plain,
    leq @ sk__27 @ tptp_minus_1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124,plain,
    leq @ n0 @ sk__27,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X2 )
      | ( leq @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[transitivity_leq]) ).

thf(zip_derived_cl1013,plain,
    ! [X0: $i] :
      ( ~ ( leq @ sk__27 @ X0 )
      | ( leq @ n0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl124,zip_derived_cl4]) ).

thf(zip_derived_cl1041,plain,
    leq @ n0 @ tptp_minus_1,
    inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl1013]) ).

thf(zip_derived_cl1092,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1091,zip_derived_cl1041]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem  : SWV164+1 : TPTP v9.2.0. Bugfixed v3.3.0.
% 0.12/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fzey5820V2 true
% 0.13/0.36  % Computer : n009.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Wed Oct  1 12:33:08 EDT 2025
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  % Number of cores: 8
% 0.13/0.37  % Python version: Python 3.6.8
% 0.13/0.37  % Running in FO mode
% 0.52/0.65  % Total configuration time : 435
% 0.52/0.65  % Estimated wc time : 1092
% 0.52/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.84  % Solved by fo/fo6_bce.sh.
% 0.54/0.84  % BCE start: 172
% 0.54/0.84  % BCE eliminated: 1
% 0.54/0.84  % PE start: 171
% 0.54/0.84  logic: eq
% 0.54/0.84  % PE eliminated: 13
% 0.54/0.84  % done 46 iterations in 0.073s
% 0.54/0.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.84  % SZS output start Refutation
% See solution above
% 0.54/0.84  
% 0.54/0.84  
% 0.54/0.84  % Terminating...
% 2.09/0.96  % Runner terminated.
% 2.09/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------