TSTP Solution File: KLE005+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE005+1 : 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.BzjosSf2Yr true

% Computer : n008.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 05:38:13 EDT 2023

% Result   : Theorem 0.22s 0.74s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   26 (   9 unt;   7 typ;   0 def)
%            Number of atoms       :   34 (  20 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   72 (  12   ~;   9   |;   2   &;  45   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (   0   ^;  15   !;   0   ?;  15   :)

% 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_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_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( multiplication @ X0 @ X1 )
        = zero )
      | ~ ( complement @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[test_2]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( c @ X0 )
       != X1 )
      | ~ ( test @ X0 )
      | ( ( multiplication @ X1 @ X0 )
        = zero ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl15]) ).

thf(zip_derived_cl120,plain,
    ! [X0: $i] :
      ( ( ( multiplication @ ( c @ X0 ) @ X0 )
        = zero )
      | ~ ( test @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl63]) ).

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_cl172,plain,
    ( ~ ( test @ one )
    | ( zero
      = ( c @ one ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl120,zip_derived_cl5]) ).

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(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_cl99,plain,
    ( ( test @ one )
    | ( zero != zero ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl22]) ).

thf(zip_derived_cl100,plain,
    test @ one,
    inference(simplify,[status(thm)],[zip_derived_cl99]) ).

thf(zip_derived_cl180,plain,
    ( zero
    = ( c @ one ) ),
    inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl100]) ).

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

thf(zip_derived_cl181,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl180,zip_derived_cl22]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : KLE005+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BzjosSf2Yr true
% 0.15/0.35  % Computer : n008.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue Aug 29 11:11:32 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74  % Solved by fo/fo6_bce.sh.
% 0.22/0.74  % BCE start: 23
% 0.22/0.74  % BCE eliminated: 2
% 0.22/0.74  % PE start: 21
% 0.22/0.74  logic: eq
% 0.22/0.74  % PE eliminated: 0
% 0.22/0.74  % done 19 iterations in 0.018s
% 0.22/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.74  % SZS output start Refutation
% See solution above
% 0.22/0.74  
% 0.22/0.74  
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.74  % Terminating...
% 1.50/0.84  % Runner terminated.
% 1.50/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------