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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV194+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.09mRPN1hUe true

% Computer : n013.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 05:00:22 PM UTC 2025

% Result   : Theorem 0.55s 0.79s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :  119 (  72 equ;   0 cnn)
%            Maximal formula atoms :   46 (   5 avg)
%            Number of connectives :  348 (   8   ~;   5   |;  83   &; 243   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   43 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   25 (  23 usr;  18 con; 0-3 aty)
%            Number of variables   :   17 (   0   ^;  17   !;   0   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
thf(n3_type,type,
    n3: $i ).

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

thf(sigma_defuse_type,type,
    sigma_defuse: $i ).

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

thf(z_defuse_type,type,
    z_defuse: $i ).

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

thf(pv5_type,type,
    pv5: $i ).

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

thf(xinit_mean_defuse_type,type,
    xinit_mean_defuse: $i ).

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

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

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

thf(u_defuse_type,type,
    u_defuse: $i ).

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

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

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

thf(rho_defuse_type,type,
    rho_defuse: $i ).

thf(xinit_noise_defuse_type,type,
    xinit_noise_defuse: $i ).

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

thf(xinit_defuse_type,type,
    xinit_defuse: $i ).

thf(use_type,type,
    use: $i ).

thf(n998_type,type,
    n998: $i ).

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

thf(quaternion_ds1_inuse_0005,conjecture,
    ( ( ( ( a_select2 @ rho_defuse @ n0 )
        = use )
      & ( ( a_select2 @ rho_defuse @ n1 )
        = use )
      & ( ( a_select2 @ rho_defuse @ n2 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n0 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n1 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n2 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n3 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n4 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n5 )
        = use )
      & ( ( a_select3 @ u_defuse @ n0 @ n0 )
        = use )
      & ( ( a_select3 @ u_defuse @ n1 @ n0 )
        = use )
      & ( ( a_select3 @ u_defuse @ n2 @ n0 )
        = use )
      & ( ( a_select2 @ xinit_defuse @ n3 )
        = use )
      & ( ( a_select2 @ xinit_defuse @ n4 )
        = use )
      & ( ( a_select2 @ xinit_defuse @ n5 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n0 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n1 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n2 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n3 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n4 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n5 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n0 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n1 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n2 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n3 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n4 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n5 )
        = use )
      & ( leq @ n0 @ pv5 )
      & ( leq @ pv5 @ n0 )
      & ( leq @ pv5 @ n998 )
      & ( gt @ pv5 @ n0 )
      & ! [A: $i,B: $i] :
          ( ( ( leq @ n0 @ A )
            & ( leq @ n0 @ B )
            & ( leq @ A @ n2 )
            & ( leq @ B @ ( pred @ pv5 ) ) )
         => ( ( a_select3 @ u_defuse @ A @ B )
            = use ) )
      & ! [C: $i,D: $i] :
          ( ( ( leq @ n0 @ C )
            & ( leq @ n0 @ D )
            & ( leq @ C @ n2 )
            & ( leq @ D @ ( pred @ pv5 ) ) )
         => ( ( a_select3 @ z_defuse @ C @ D )
            = use ) ) )
   => ! [E: $i,F: $i] :
        ( ( ( leq @ n0 @ E )
          & ( leq @ n0 @ F )
          & ( leq @ E @ n2 )
          & ( leq @ F @ pv5 ) )
       => ( ( a_select3 @ u_defuse @ E @ F )
          = use ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( ( a_select2 @ rho_defuse @ n0 )
          = use )
        & ( ( a_select2 @ rho_defuse @ n1 )
          = use )
        & ( ( a_select2 @ rho_defuse @ n2 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n0 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n1 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n2 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n3 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n4 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n5 )
          = use )
        & ( ( a_select3 @ u_defuse @ n0 @ n0 )
          = use )
        & ( ( a_select3 @ u_defuse @ n1 @ n0 )
          = use )
        & ( ( a_select3 @ u_defuse @ n2 @ n0 )
          = use )
        & ( ( a_select2 @ xinit_defuse @ n3 )
          = use )
        & ( ( a_select2 @ xinit_defuse @ n4 )
          = use )
        & ( ( a_select2 @ xinit_defuse @ n5 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n0 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n1 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n2 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n3 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n4 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n5 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n0 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n1 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n2 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n3 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n4 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n5 )
          = use )
        & ( leq @ n0 @ pv5 )
        & ( leq @ pv5 @ n0 )
        & ( leq @ pv5 @ n998 )
        & ( gt @ pv5 @ n0 )
        & ! [A: $i,B: $i] :
            ( ( ( leq @ n0 @ A )
              & ( leq @ n0 @ B )
              & ( leq @ A @ n2 )
              & ( leq @ B @ ( pred @ pv5 ) ) )
           => ( ( a_select3 @ u_defuse @ A @ B )
              = use ) )
        & ! [C: $i,D: $i] :
            ( ( ( leq @ n0 @ C )
              & ( leq @ n0 @ D )
              & ( leq @ C @ n2 )
              & ( leq @ D @ ( pred @ pv5 ) ) )
           => ( ( a_select3 @ z_defuse @ C @ D )
              = use ) ) )
     => ! [E: $i,F: $i] :
          ( ( ( leq @ n0 @ E )
            & ( leq @ n0 @ F )
            & ( leq @ E @ n2 )
            & ( leq @ F @ pv5 ) )
         => ( ( a_select3 @ u_defuse @ E @ F )
            = use ) ) ),
    inference('cnf.neg',[status(esa)],[quaternion_ds1_inuse_0005]) ).

thf(zip_derived_cl146,plain,
    gt @ pv5 @ n0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144,plain,
    leq @ pv5 @ n0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl46,plain,
    ( ( succ @ tptp_minus_1 )
    = n0 ),
    inference(cnf,[status(esa)],[succ_tptp_minus_1]) ).

thf(zip_derived_cl329,plain,
    leq @ pv5 @ ( succ @ tptp_minus_1 ),
    inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl46]) ).

thf(finite_domain_0,axiom,
    ! [X: $i] :
      ( ( ( leq @ n0 @ X )
        & ( leq @ X @ n0 ) )
     => ( X = n0 ) ) ).

thf(zip_derived_cl107,plain,
    ! [X0: $i] :
      ( ( X0 = n0 )
      | ~ ( leq @ X0 @ n0 )
      | ~ ( leq @ n0 @ X0 ) ),
    inference(cnf,[status(esa)],[finite_domain_0]) ).

thf(zip_derived_cl46_001,plain,
    ( ( succ @ tptp_minus_1 )
    = n0 ),
    inference(cnf,[status(esa)],[succ_tptp_minus_1]) ).

thf(zip_derived_cl46_002,plain,
    ( ( succ @ tptp_minus_1 )
    = n0 ),
    inference(cnf,[status(esa)],[succ_tptp_minus_1]) ).

thf(zip_derived_cl46_003,plain,
    ( ( succ @ tptp_minus_1 )
    = n0 ),
    inference(cnf,[status(esa)],[succ_tptp_minus_1]) ).

thf(zip_derived_cl157,plain,
    ! [X0: $i] :
      ( ( X0
        = ( succ @ tptp_minus_1 ) )
      | ~ ( leq @ X0 @ ( succ @ tptp_minus_1 ) )
      | ~ ( leq @ ( succ @ tptp_minus_1 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl46,zip_derived_cl46,zip_derived_cl46]) ).

thf(zip_derived_cl333,plain,
    ( ~ ( leq @ ( succ @ tptp_minus_1 ) @ pv5 )
    | ( pv5
      = ( succ @ tptp_minus_1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl329,zip_derived_cl157]) ).

thf(zip_derived_cl143,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46_004,plain,
    ( ( succ @ tptp_minus_1 )
    = n0 ),
    inference(cnf,[status(esa)],[succ_tptp_minus_1]) ).

thf(zip_derived_cl305,plain,
    leq @ ( succ @ tptp_minus_1 ) @ pv5,
    inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl46]) ).

thf(zip_derived_cl334,plain,
    ( pv5
    = ( succ @ tptp_minus_1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl333,zip_derived_cl305]) ).

thf(zip_derived_cl46_005,plain,
    ( ( succ @ tptp_minus_1 )
    = n0 ),
    inference(cnf,[status(esa)],[succ_tptp_minus_1]) ).

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_cl374,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl146,zip_derived_cl334,zip_derived_cl46,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWV194+1 : TPTP v9.2.0. Bugfixed v3.3.0.
% 0.10/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.09mRPN1hUe true
% 0.14/0.34  % Computer : n013.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 12:36:53 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % 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
% 0.55/0.62  % Total configuration time : 435
% 0.55/0.62  % Estimated wc time : 1092
% 0.55/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.79  % Solved by fo/fo7.sh.
% 0.55/0.79  % done 115 iterations in 0.055s
% 0.55/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.79  % SZS output start Refutation
% See solution above
% 0.55/0.79  
% 0.55/0.79  
% 0.55/0.79  % Terminating...
% 0.57/0.85  % Runner terminated.
% 0.57/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------