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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO885^1.033.003 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Hwdd4UT4OT true

% Computer : n026.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 05:08:22 PM UTC 2025

% Result   : Theorem 0.54s 0.71s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    6 (   1 unt;   0 typ;   0 def)
%            Number of atoms       :   14 (  13 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  118 (   8   ~;   4   |;   4   &; 102   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   4 con; 0-3 aty)
%            Number of variables   :   27 (  24   ^;   1   !;   2   ?;  27   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a0_type,type,
    a0: $i ).

thf(a2_type,type,
    a2: $i ).

thf(f_type,type,
    f: $i > $i > $i > $i ).

thf(a1_type,type,
    a1: $i ).

thf(goal,conjecture,
    ? [F: $i > $i > $i > $i] :
      ( ( ( F @ a2 @ a1 @ a0 )
        = ( f @ a0 @ a1 @ a2 ) )
      & ( ( F @ a0 @ a2 @ a1 )
        = ( f @ a0 @ a1 @ a2 ) )
      & ( ( F @ a0 @ a1 @ a2 )
        = ( f @ a0 @ a1 @ a2 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [F: $i > $i > $i > $i] :
        ( ( ( F @ a2 @ a1 @ a0 )
          = ( f @ a0 @ a1 @ a2 ) )
        & ( ( F @ a0 @ a2 @ a1 )
          = ( f @ a0 @ a1 @ a2 ) )
        & ( ( F @ a0 @ a1 @ a2 )
          = ( f @ a0 @ a1 @ a2 ) ) ),
    inference('cnf.neg',[status(esa)],[goal]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i > $i > $i > $i] :
      ( ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a0 @ a2 @ a1 )
       != ( f @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a0 @ a1 @ a2 )
       != ( f @ a0 @ a1 @ a2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ( ( ( ^ [Y0: $i,Y1: $i,Y2: $i] :
            ( f
            @ ( ^ [Y3: $i,Y4: $i,Y5: $i] : a0
              @ Y0
              @ Y1
              @ Y2 )
            @ ( ^ [Y3: $i,Y4: $i,Y5: $i] : a1
              @ Y0
              @ Y1
              @ Y2 )
            @ ( ^ [Y3: $i,Y4: $i,Y5: $i] : a2
              @ Y0
              @ Y1
              @ Y2 ) )
        @ a0
        @ a1
        @ a2 )
     != ( f @ a0 @ a1 @ a2 ) )
    | ( ( ^ [Y0: $i,Y1: $i,Y2: $i] :
            ( f
            @ ( ^ [Y3: $i,Y4: $i,Y5: $i] : a0
              @ Y0
              @ Y1
              @ Y2 )
            @ ( ^ [Y3: $i,Y4: $i,Y5: $i] : a1
              @ Y0
              @ Y1
              @ Y2 )
            @ ( ^ [Y3: $i,Y4: $i,Y5: $i] : a2
              @ Y0
              @ Y1
              @ Y2 ) )
        @ a0
        @ a2
        @ a1 )
     != ( f @ a0 @ a1 @ a2 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl13,plain,
    ( ( ( f @ a0 @ a1 @ a2 )
     != ( f @ a0 @ a1 @ a2 ) )
    | ( ( f @ a0 @ a1 @ a2 )
     != ( f @ a0 @ a1 @ a2 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl14,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl13]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYO885^1.033.003 : TPTP v9.2.0. Released v7.5.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Hwdd4UT4OT true
% 0.13/0.34  % Computer : n026.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 18:07:08 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
% 0.19/0.35  % Running in HO mode
% 0.54/0.67  % Total configuration time : 828
% 0.54/0.67  % Estimated wc time : 1656
% 0.54/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.68  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.69  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.71  % Solved by lams/40_c.s.sh.
% 0.54/0.71  % done 1 iterations in 0.009s
% 0.54/0.71  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.71  % SZS output start Refutation
% See solution above
% 0.54/0.71  
% 0.54/0.71  
% 0.54/0.71  % Terminating...
% 0.55/0.76  % Runner terminated.
% 1.50/0.77  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------