%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE025+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6Velp7MqnZ true

% Computer : n005.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 Aug 31 05:38:22 EDT 2023

% Result   : Theorem 1.22s 1.34s
% Output   : Refutation 1.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   40 (  21 unt;  10 typ;   0 def)
%            Number of atoms       :   48 (  33 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  209 (  10   ~;   7   |;   4   &; 181   @)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   46 (   0   ^;  46   !;   0   ?;  46   :)

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

thf(sk__3_type,type,
    sk__3: $i ).

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

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

thf(sk__2_type,type,
    sk__2: $i ).

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

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

thf(sk__1_type,type,
    sk__1: $i ).

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

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

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(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_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( addition @ X0 @ X1 )
        = one )
      | ~ ( complement @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[test_2]) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( c @ X1 )
       != X0 )
      | ~ ( test @ X1 )
      | ( ( addition @ X0 @ X1 )
        = one ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl17]) ).

thf(zip_derived_cl93,plain,
    ! [X0: $i] :
      ( ( ( addition @ ( c @ X0 ) @ X0 )
        = one )
      | ~ ( test @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl54]) ).

thf(goals,conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( test @ X1 )
        & ( test @ X2 ) )
     => ( ( ( multiplication @ ( multiplication @ X1 @ X0 ) @ ( c @ X2 ) )
          = zero )
       => ( ( multiplication @ X1 @ X0 )
          = ( multiplication @ ( multiplication @ X1 @ X0 ) @ X2 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X0: $i,X1: $i,X2: $i] :
        ( ( ( test @ X1 )
          & ( test @ X2 ) )
       => ( ( ( multiplication @ ( multiplication @ X1 @ X0 ) @ ( c @ X2 ) )
            = zero )
         => ( ( multiplication @ X1 @ X0 )
            = ( multiplication @ ( multiplication @ X1 @ X0 ) @ X2 ) ) ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl24,plain,
    ( ( multiplication @ ( multiplication @ sk__2 @ sk__1 ) @ ( c @ sk__3 ) )
    = zero ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(right_distributivity,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( multiplication @ A @ ( addition @ B @ C ) )
      = ( addition @ ( multiplication @ A @ B ) @ ( multiplication @ A @ C ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( multiplication @ X0 @ ( addition @ X1 @ X2 ) )
      = ( addition @ ( multiplication @ X0 @ X1 ) @ ( multiplication @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[right_distributivity]) ).

thf(zip_derived_cl131,plain,
    ! [X0: $i] :
      ( ( multiplication @ ( multiplication @ sk__2 @ sk__1 ) @ ( addition @ ( c @ sk__3 ) @ X0 ) )
      = ( addition @ zero @ ( multiplication @ ( multiplication @ sk__2 @ sk__1 ) @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl7]) ).

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

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

thf(additive_identity,axiom,
    ! [A: $i] :
      ( ( addition @ A @ zero )
      = A ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ( addition @ X0 @ zero )
      = X0 ),
    inference(cnf,[status(esa)],[additive_identity]) ).

thf(additive_commutativity,axiom,
    ! [A: $i,B: $i] :
      ( ( addition @ A @ B )
      = ( addition @ B @ A ) ) ).

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

thf(zip_derived_cl30,plain,
    ! [X0: $i] :
      ( ( addition @ zero @ X0 )
      = X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl145,plain,
    ! [X0: $i] :
      ( ( multiplication @ ( multiplication @ sk__2 @ sk__1 ) @ ( addition @ ( c @ sk__3 ) @ X0 ) )
      = ( multiplication @ sk__2 @ ( multiplication @ sk__1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl4,zip_derived_cl30]) ).

thf(zip_derived_cl3687,plain,
    ( ~ ( test @ sk__3 )
    | ( ( multiplication @ ( multiplication @ sk__2 @ sk__1 ) @ one )
      = ( multiplication @ sk__2 @ ( multiplication @ sk__1 @ sk__3 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl93,zip_derived_cl145]) ).

thf(zip_derived_cl26,plain,
    test @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( multiplication @ X0 @ ( multiplication @ X1 @ X2 ) )
      = ( multiplication @ ( multiplication @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[multiplicative_associativity]) ).

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_cl3710,plain,
    ( ( multiplication @ sk__2 @ sk__1 )
    = ( multiplication @ sk__2 @ ( multiplication @ sk__1 @ sk__3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3687,zip_derived_cl26,zip_derived_cl4,zip_derived_cl5]) ).

thf(zip_derived_cl25,plain,
    ( ( multiplication @ sk__2 @ sk__1 )
   != ( multiplication @ ( multiplication @ sk__2 @ sk__1 ) @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( multiplication @ X0 @ ( multiplication @ X1 @ X2 ) )
      = ( multiplication @ ( multiplication @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[multiplicative_associativity]) ).

thf(zip_derived_cl61,plain,
    ( ( multiplication @ sk__2 @ sk__1 )
   != ( multiplication @ sk__2 @ ( multiplication @ sk__1 @ sk__3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl4]) ).

thf(zip_derived_cl3711,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3710,zip_derived_cl61]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.17  % Problem  : KLE025+2 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.18  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6Velp7MqnZ true
% 0.15/0.37  % Computer : n005.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.38  % WCLimit  : 300
% 0.15/0.38  % DateTime : Tue Aug 29 11:21:38 EDT 2023
% 0.15/0.38  % CPUTime  : 
% 0.15/0.38  % Running portfolio for 300 s
% 0.15/0.38  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.38  % Number of cores: 8
% 0.20/0.38  % Python version: Python 3.6.8
% 0.20/0.38  % Running in FO mode
% 0.21/0.59  % Total configuration time : 435
% 0.21/0.59  % Estimated wc time : 1092
% 0.21/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.10/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.22/1.34  % Solved by fo/fo1_av.sh.
% 1.22/1.34  % done 401 iterations in 0.600s
% 1.22/1.34  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.22/1.34  % SZS output start Refutation
% See solution above
% 1.22/1.34  
% 1.22/1.34  
% 1.22/1.34  % Terminating...
% 5.54/1.43  % Runner terminated.
% 5.54/1.43  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------