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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE005+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.U7AjQtyowa true

% Computer : n020.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 04:40:03 PM UTC 2025

% Result   : Theorem 0.54s 0.79s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   35 (  25 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   72 (  11   ~;  11   |;   2   &;  44   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^;  18   !;   0   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
thf(multiplication_type,type,
    multiplication: $i > $i > $i ).

thf(c_type,type,
    c: $i > $i ).

thf(complement_type,type,
    complement: $i > $i > $o ).

thf(one_type,type,
    one: $i ).

thf(addition_type,type,
    addition: $i > $i > $i ).

thf(test_type,type,
    test: $i > $o ).

thf(zero_type,type,
    zero: $i ).

thf(test_4,axiom,
    ! [X0: $i] :
      ( ~ ( test @ X0 )
     => ( ( c @ X0 )
        = zero ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i] :
      ( ( ( c @ X0 )
        = zero )
      | ( test @ X0 ) ),
    inference(cnf,[status(esa)],[test_4]) ).

thf(test_3,axiom,
    ! [X0: $i,X1: $i] :
      ( ( test @ X0 )
     => ( ( ( c @ X0 )
          = X1 )
      <=> ( complement @ X0 @ X1 ) ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( test @ X0 )
      | ( complement @ X0 @ X1 )
      | ( ( c @ X0 )
       != X1 ) ),
    inference(cnf,[status(esa)],[test_3]) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( c @ X0 )
        = zero )
      | ( ( c @ X0 )
       != X1 )
      | ( complement @ X0 @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl21,zip_derived_cl20]) ).

thf(test_2,axiom,
    ! [X0: $i,X1: $i] :
      ( ( complement @ X1 @ X0 )
    <=> ( ( ( multiplication @ X0 @ X1 )
          = zero )
        & ( ( multiplication @ X1 @ X0 )
          = zero )
        & ( ( addition @ X0 @ X1 )
          = one ) ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( multiplication @ X0 @ X1 )
        = zero )
      | ~ ( complement @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[test_2]) ).

thf(zip_derived_cl95,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( c @ X1 )
       != X0 )
      | ( ( c @ X1 )
        = zero )
      | ( ( multiplication @ X0 @ X1 )
        = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl15]) ).

thf(multiplicative_right_identity,axiom,
    ! [A: $i] :
      ( ( multiplication @ A @ one )
      = A ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( multiplication @ X0 @ one )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_right_identity]) ).

thf(zip_derived_cl112,plain,
    ! [X0: $i] :
      ( ( zero = X0 )
      | ( ( c @ one )
        = zero )
      | ( ( c @ one )
       != X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl95,zip_derived_cl5]) ).

thf(goals,conjecture,
    ( ( c @ one )
    = zero ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( c @ one )
   != zero ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl22,plain,
    ( ( c @ one )
   != zero ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl114,plain,
    ! [X0: $i] :
      ( ( zero = X0 )
      | ( ( c @ one )
       != X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl112,zip_derived_cl22]) ).

thf(zip_derived_cl134,plain,
    ( zero
    = ( c @ one ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl114]) ).

thf(zip_derived_cl22_001,plain,
    ( ( c @ one )
   != zero ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl134,zip_derived_cl22]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : KLE005+1 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.U7AjQtyowa true
% 0.13/0.34  % Computer : n020.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 13:58:38 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.53/0.66  % Total configuration time : 435
% 0.53/0.66  % Estimated wc time : 1092
% 0.53/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.79  % Solved by fo/fo3_bce.sh.
% 0.54/0.79  % BCE start: 23
% 0.54/0.79  % BCE eliminated: 2
% 0.54/0.79  % PE start: 21
% 0.54/0.79  logic: eq
% 0.54/0.79  % PE eliminated: -1
% 0.54/0.79  % done 28 iterations in 0.017s
% 0.54/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.79  % SZS output start Refutation
% See solution above
% 0.54/0.79  
% 0.54/0.79  
% 0.54/0.79  % Terminating...
% 1.81/0.87  % Runner terminated.
% 1.81/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------