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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV227+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.6FbfcQvHt1 true

% Computer : n004.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 05:00:27 PM UTC 2025

% Result   : Theorem 1.23s 0.73s
% Output   : Refutation 1.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   19 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :  143 ( 118 equ;   0 cnn)
%            Maximal formula atoms :   61 (   7 avg)
%            Number of connectives :  252 (  52   ~;   4   |; 110   &;  76   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;  12 con; 0-3 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

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

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

thf(xinit_noise_type,type,
    xinit_noise: $i ).

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

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

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

thf(q_ds1_filter_type,type,
    q_ds1_filter: $i ).

thf(sk__18_type,type,
    sk__18: $i ).

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

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

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

thf(r_ds1_filter_type,type,
    r_ds1_filter: $i ).

thf(sk__17_type,type,
    sk__17: $i ).

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

thf(quaternion_ds1_symm_0641,conjecture,
    ( ( ! [A: $i,B: $i] :
          ( ( ( leq @ n0 @ A )
            & ( leq @ n0 @ B )
            & ( leq @ A @ n5 )
            & ( leq @ B @ n5 ) )
         => ( ( a_select3 @ q_ds1_filter @ A @ B )
            = ( a_select3 @ q_ds1_filter @ B @ A ) ) )
      & ! [C: $i,D: $i] :
          ( ( ( leq @ n0 @ C )
            & ( leq @ n0 @ D )
            & ( leq @ C @ n2 )
            & ( leq @ D @ n2 ) )
         => ( ( a_select3 @ r_ds1_filter @ C @ D )
            = ( a_select3 @ r_ds1_filter @ D @ C ) ) ) )
   => ! [E: $i,F: $i] :
        ( ( ( leq @ n0 @ E )
          & ( leq @ n0 @ F )
          & ( leq @ E @ n5 )
          & ( leq @ F @ n5 ) )
       => ( ( ~ ( ( n0 = E )
                & ( n3 = F ) )
            & ~ ( ( n0 = E )
                & ( n4 = F ) )
            & ~ ( ( n0 = E )
                & ( n5 = F ) )
            & ~ ( ( n0 = F )
                & ( n5 = E ) )
            & ~ ( ( n1 = E )
                & ( n3 = F ) )
            & ~ ( ( n1 = E )
                & ( n4 = F ) )
            & ~ ( ( n1 = E )
                & ( n5 = F ) )
            & ~ ( ( n1 = F )
                & ( n5 = E ) )
            & ~ ( ( n2 = E )
                & ( n3 = F ) )
            & ~ ( ( n2 = E )
                & ( n4 = F ) )
            & ~ ( ( n2 = E )
                & ( n5 = F ) )
            & ~ ( ( n2 = F )
                & ( n5 = E ) )
            & ~ ( ( n3 = E )
                & ( n3 = F ) )
            & ~ ( ( n3 = E )
                & ( n4 = F ) )
            & ~ ( ( n3 = E )
                & ( n5 = F ) )
            & ~ ( ( n3 = F )
                & ( n4 = E ) )
            & ~ ( ( n3 = F )
                & ( n5 = E ) )
            & ~ ( ( n4 = E )
                & ( n4 = F ) )
            & ~ ( ( n4 = E )
                & ( n5 = F ) )
            & ~ ( ( n4 = F )
                & ( n5 = E ) )
            & ~ ( ( n5 = E )
                & ( n5 = F ) )
            & ( n2 = F )
            & ( n4 = E )
            & ( n4 = F )
            & ( n5 = E ) )
         => ( ( a_select2 @ xinit_noise @ n4 )
            = n0 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [A: $i,B: $i] :
            ( ( ( leq @ n0 @ A )
              & ( leq @ n0 @ B )
              & ( leq @ A @ n5 )
              & ( leq @ B @ n5 ) )
           => ( ( a_select3 @ q_ds1_filter @ A @ B )
              = ( a_select3 @ q_ds1_filter @ B @ A ) ) )
        & ! [C: $i,D: $i] :
            ( ( ( leq @ n0 @ C )
              & ( leq @ n0 @ D )
              & ( leq @ C @ n2 )
              & ( leq @ D @ n2 ) )
           => ( ( a_select3 @ r_ds1_filter @ C @ D )
              = ( a_select3 @ r_ds1_filter @ D @ C ) ) ) )
     => ! [E: $i,F: $i] :
          ( ( ( leq @ n0 @ E )
            & ( leq @ n0 @ F )
            & ( leq @ E @ n5 )
            & ( leq @ F @ n5 ) )
         => ( ( ~ ( ( n0 = E )
                  & ( n3 = F ) )
              & ~ ( ( n0 = E )
                  & ( n4 = F ) )
              & ~ ( ( n0 = E )
                  & ( n5 = F ) )
              & ~ ( ( n0 = F )
                  & ( n5 = E ) )
              & ~ ( ( n1 = E )
                  & ( n3 = F ) )
              & ~ ( ( n1 = E )
                  & ( n4 = F ) )
              & ~ ( ( n1 = E )
                  & ( n5 = F ) )
              & ~ ( ( n1 = F )
                  & ( n5 = E ) )
              & ~ ( ( n2 = E )
                  & ( n3 = F ) )
              & ~ ( ( n2 = E )
                  & ( n4 = F ) )
              & ~ ( ( n2 = E )
                  & ( n5 = F ) )
              & ~ ( ( n2 = F )
                  & ( n5 = E ) )
              & ~ ( ( n3 = E )
                  & ( n3 = F ) )
              & ~ ( ( n3 = E )
                  & ( n4 = F ) )
              & ~ ( ( n3 = E )
                  & ( n5 = F ) )
              & ~ ( ( n3 = F )
                  & ( n4 = E ) )
              & ~ ( ( n3 = F )
                  & ( n5 = E ) )
              & ~ ( ( n4 = E )
                  & ( n4 = F ) )
              & ~ ( ( n4 = E )
                  & ( n5 = F ) )
              & ~ ( ( n4 = F )
                  & ( n5 = E ) )
              & ~ ( ( n5 = E )
                  & ( n5 = F ) )
              & ( n2 = F )
              & ( n4 = E )
              & ( n4 = F )
              & ( n5 = E ) )
           => ( ( a_select2 @ xinit_noise @ n4 )
              = n0 ) ) ) ),
    inference('cnf.neg',[status(esa)],[quaternion_ds1_symm_0641]) ).

thf(zip_derived_cl104,plain,
    n4 = sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl111,plain,
    n4 = sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl112,plain,
    n2 = sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl651,plain,
    n4 = n2,
    inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl112]) ).

thf(zip_derived_cl654,plain,
    n2 = sk__17,
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl651]) ).

thf(zip_derived_cl113,plain,
    ( ( n5 != sk__17 )
    | ( n5 != sk__18 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl112_001,plain,
    n2 = sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl661,plain,
    ( ( n5 != sk__17 )
    | ( n5 != n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl112]) ).

thf(zip_derived_cl662,plain,
    ( ( n2 != sk__17 )
    | ( n5 != n2 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl661]) ).

thf(zip_derived_cl105,plain,
    n5 = sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl104_002,plain,
    n4 = sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl650,plain,
    n5 = n4,
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl104]) ).

thf(zip_derived_cl651_003,plain,
    n4 = n2,
    inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl112]) ).

thf(zip_derived_cl656,plain,
    n5 = n2,
    inference(demod,[status(thm)],[zip_derived_cl650,zip_derived_cl651]) ).

thf(zip_derived_cl666,plain,
    ( ( n2 != sk__17 )
    | ( n2 != n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl662,zip_derived_cl656]) ).

thf(zip_derived_cl667,plain,
    n2 != sk__17,
    inference(simplify,[status(thm)],[zip_derived_cl666]) ).

thf(zip_derived_cl669,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl654,zip_derived_cl667]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWV227+1 : TPTP v9.2.0. Bugfixed v3.3.0.
% 0.10/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6FbfcQvHt1 true
% 0.13/0.33  % Computer : n004.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Oct  1 12:35:38 EDT 2025
% 0.13/0.33  % CPUTime  : 
% 0.13/0.33  % Running portfolio for 300 s
% 0.13/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.20/0.61  % Total configuration time : 435
% 0.20/0.61  % Estimated wc time : 1092
% 0.20/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.84/0.67  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.84/0.67  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.84/0.68  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.23/0.71  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.23/0.71  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.23/0.73  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.23/0.73  % Solved by fo/fo3_bce.sh.
% 1.23/0.73  % BCE start: 134
% 1.23/0.73  % BCE eliminated: 0
% 1.23/0.73  % PE start: 134
% 1.23/0.73  logic: eq
% 1.23/0.73  % PE eliminated: 3
% 1.23/0.73  % done 15 iterations in 0.040s
% 1.23/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.23/0.73  % SZS output start Refutation
% See solution above
% 1.23/0.73  
% 1.23/0.73  
% 1.23/0.73  % Terminating...
% 1.47/0.80  % Runner terminated.
% 1.47/0.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------