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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP656+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.oGRQpXKbQe true

% Computer : n017.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 0.52s 0.78s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            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 :  187 (   7   ~;   2   |;   2   &; 176   @)
%                                         (   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   :   56 (   0   ^;  54   !;   2   ?;  56   :)

% 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(f03,axiom,
    ! [B: $i,A: $i] :
      ( ( mult @ ( rd @ A @ B ) @ B )
      = A ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[f03]) ).

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

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

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_cl19,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( rd @ ( mult @ ( mult @ X0 @ X2 ) @ ( mult @ X1 @ X0 ) ) @ X0 )
      = ( mult @ X0 @ ( mult @ X2 @ X1 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( rd @ ( mult @ ( mult @ X1 @ X2 ) @ X0 ) @ X1 )
      = ( mult @ X1 @ ( mult @ X2 @ ( rd @ X0 @ X1 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl19]) ).

thf(zip_derived_cl3_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[f04]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X0 @ ( mult @ X1 @ ( rd @ X0 @ X0 ) ) )
      = ( mult @ X0 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl3]) ).

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_cl68,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
      = ( mult @ X0 @ ( rd @ X1 @ X1 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1]) ).

thf(zip_derived_cl1_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f02]) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i,X1: $i] :
      ( X0
      = ( mult @ X0 @ ( rd @ X1 @ X1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl1]) ).

thf(zip_derived_cl1_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f02]) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X0 @ X0 )
      = ( rd @ X1 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl80,zip_derived_cl1]) ).

thf(zip_derived_cl2_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[f03]) ).

thf(zip_derived_cl101,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( ld @ X0 @ X0 ) @ X1 )
      = X1 ),
    inference('sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl2]) ).

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_cl142,plain,
    ! [X0: $i] :
      ( ( ( sk_ @ ( ld @ X0 @ X0 ) )
       != ( sk_ @ ( ld @ X0 @ X0 ) ) )
      | ( ( mult @ ( sk_ @ ( ld @ X0 @ X0 ) ) @ ( ld @ X0 @ X0 ) )
       != ( sk_ @ ( ld @ X0 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl5]) ).

thf(zip_derived_cl153,plain,
    ! [X0: $i] :
      ( ( mult @ ( sk_ @ ( ld @ X0 @ X0 ) ) @ ( ld @ X0 @ X0 ) )
     != ( sk_ @ ( ld @ X0 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl142]) ).

thf(zip_derived_cl88_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X0 @ X0 )
      = ( rd @ X1 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl80,zip_derived_cl1]) ).

thf(zip_derived_cl80_006,plain,
    ! [X0: $i,X1: $i] :
      ( X0
      = ( mult @ X0 @ ( rd @ X1 @ X1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl1]) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i,X2: $i] :
      ( X2
      = ( mult @ X2 @ ( ld @ X0 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl80]) ).

thf(zip_derived_cl191,plain,
    ! [X0: $i] :
      ( ( sk_ @ ( ld @ X0 @ X0 ) )
     != ( sk_ @ ( ld @ X0 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl153,zip_derived_cl103]) ).

thf(zip_derived_cl192,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl191]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP656+1 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oGRQpXKbQe true
% 0.12/0.35  % Computer : n017.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Wed Oct  1 14:20:38 EDT 2025
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.36  % Python version: Python 3.6.8
% 0.12/0.36  % Running in FO mode
% 0.47/0.58  % Total configuration time : 435
% 0.47/0.58  % Estimated wc time : 1092
% 0.47/0.58  % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.78  % Solved by fo/fo7.sh.
% 0.52/0.78  % done 24 iterations in 0.043s
% 0.52/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.52/0.78  % SZS output start Refutation
% See solution above
% 0.52/0.78  
% 0.52/0.78  
% 0.52/0.78  % Terminating...
% 1.44/0.83  % Runner terminated.
% 1.44/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------