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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP657+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LrFIyJM6RE true

% Computer : n025.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 04:36:58 PM UTC 2025

% Result   : Theorem 0.60s 0.84s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   29 (  25 unt;   0 typ;   0 def)
%            Number of atoms       :   33 (  32 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  194 (   8   ~;   2   |;   2   &; 182   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   55 (   0   ^;  53   !;   2   ?;  55   :)

% Comments : 
%------------------------------------------------------------------------------
thf(rd_type,type,
    rd: $i > $i > $i ).

thf(ld_type,type,
    ld: $i > $i > $i ).

thf(mult_type,type,
    mult: $i > $i > $i ).

thf(sk__type,type,
    sk_: $i > $i ).

thf(f01,axiom,
    ! [B: $i,A: $i] :
      ( ( mult @ A @ ( ld @ A @ B ) )
      = B ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f01]) ).

thf(f05,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( mult @ ( mult @ A @ B ) @ ( mult @ C @ A ) )
      = ( mult @ A @ ( mult @ ( mult @ B @ C ) @ A ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( mult @ ( mult @ X0 @ X1 ) @ ( mult @ X2 @ X0 ) )
      = ( mult @ X0 @ ( mult @ ( mult @ X1 @ X2 ) @ X0 ) ) ),
    inference(cnf,[status(esa)],[f05]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( mult @ X0 @ ( mult @ X2 @ X1 ) )
      = ( mult @ X1 @ ( mult @ ( mult @ ( ld @ X1 @ X0 ) @ X2 ) @ X1 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).

thf(f02,axiom,
    ! [B: $i,A: $i] :
      ( ( ld @ A @ ( mult @ A @ B ) )
      = B ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f02]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ld @ X0 @ ( mult @ X2 @ ( mult @ X1 @ X0 ) ) )
      = ( mult @ ( mult @ ( ld @ X0 @ X2 ) @ X1 ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl1]) ).

thf(zip_derived_cl1_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f02]) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( mult @ ( ld @ X0 @ X0 ) @ X1 ) @ X0 )
      = ( mult @ X1 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1]) ).

thf(f04,axiom,
    ! [B: $i,A: $i] :
      ( ( rd @ ( mult @ A @ B ) @ B )
      = A ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[f04]) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ ( mult @ X1 @ X0 ) @ X0 )
      = ( mult @ ( ld @ X0 @ X0 ) @ X1 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl86,zip_derived_cl3]) ).

thf(zip_derived_cl3_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[f04]) ).

thf(zip_derived_cl119,plain,
    ! [X0: $i,X1: $i] :
      ( X1
      = ( mult @ ( ld @ X0 @ X0 ) @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl3]) ).

thf(zip_derived_cl3_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[f04]) ).

thf(zip_derived_cl128,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ X0 @ X0 )
      = ( ld @ X1 @ X1 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl119,zip_derived_cl3]) ).

thf(zip_derived_cl128_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ X0 @ X0 )
      = ( ld @ X1 @ X1 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl119,zip_derived_cl3]) ).

thf(zip_derived_cl0_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f01]) ).

thf(zip_derived_cl145,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X1 @ ( rd @ X0 @ X0 ) )
      = X1 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl128,zip_derived_cl0]) ).

thf(goals,conjecture,
    ? [X0: $i] :
    ! [X1: $i] :
      ( ( ( mult @ X0 @ X1 )
        = X1 )
      & ( ( mult @ X1 @ X0 )
        = X1 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [X0: $i] :
      ! [X1: $i] :
        ( ( ( mult @ X0 @ X1 )
          = X1 )
        & ( ( mult @ X1 @ X0 )
          = X1 ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( ( mult @ X0 @ ( sk_ @ X0 ) )
       != ( sk_ @ X0 ) )
      | ( ( mult @ ( sk_ @ X0 ) @ X0 )
       != ( sk_ @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl255,plain,
    ! [X0: $i] :
      ( ( ( mult @ ( rd @ X0 @ X0 ) @ ( sk_ @ ( rd @ X0 @ X0 ) ) )
       != ( sk_ @ ( rd @ X0 @ X0 ) ) )
      | ( ( sk_ @ ( rd @ X0 @ X0 ) )
       != ( sk_ @ ( rd @ X0 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl5]) ).

thf(zip_derived_cl268,plain,
    ! [X0: $i] :
      ( ( mult @ ( rd @ X0 @ X0 ) @ ( sk_ @ ( rd @ X0 @ X0 ) ) )
     != ( sk_ @ ( rd @ X0 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl255]) ).

thf(zip_derived_cl269,plain,
    ! [X0: $i] :
      ( ( mult @ ( ld @ X0 @ X0 ) @ ( sk_ @ ( ld @ X0 @ X0 ) ) )
     != ( sk_ @ ( ld @ X0 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl268]) ).

thf(zip_derived_cl119_006,plain,
    ! [X0: $i,X1: $i] :
      ( X1
      = ( mult @ ( ld @ X0 @ X0 ) @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl3]) ).

thf(zip_derived_cl275,plain,
    ! [X0: $i] :
      ( ( sk_ @ ( ld @ X0 @ X0 ) )
     != ( sk_ @ ( ld @ X0 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl269,zip_derived_cl119]) ).

thf(zip_derived_cl276,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl275]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem  : GRP657+1 : TPTP v9.2.0. Released v4.0.0.
% 0.10/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LrFIyJM6RE true
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 14:07:23 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
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.57/0.69  % Total configuration time : 435
% 0.57/0.69  % Estimated wc time : 1092
% 0.57/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.84  % Solved by fo/fo1_av.sh.
% 0.60/0.84  % done 32 iterations in 0.038s
% 0.60/0.84  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.84  % SZS output start Refutation
% See solution above
% 0.60/0.84  
% 0.60/0.84  
% 0.60/0.84  % Terminating...
% 1.67/0.89  % Runner terminated.
% 1.67/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------