TSTP Solution File: KLE022+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE022+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.q9Em5HRGCw 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 Aug 31 05:38:20 EDT 2023

% Result   : Theorem 0.51s 0.81s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   30 (  11 unt;   9 typ;   0 def)
%            Number of atoms       :   36 (  22 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  124 (  13   ~;   8   |;   2   &;  96   @)
%                                         (   2 <=>;   3  =>;   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     :   11 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   28 (   0   ^;  28   !;   0   ?;  28   :)

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

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

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

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

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_cl71,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( c @ X0 )
       != X1 )
      | ~ ( test @ X0 )
      | ( ( addition @ X1 @ X0 )
        = one ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl17]) ).

thf(zip_derived_cl249,plain,
    ! [X0: $i] :
      ( ( ( addition @ ( c @ X0 ) @ X0 )
        = one )
      | ~ ( test @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl71]) ).

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_cl508,plain,
    ! [X0: $i] :
      ( ~ ( test @ X0 )
      | ( ( addition @ X0 @ ( c @ X0 ) )
        = one ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl249,zip_derived_cl0]) ).

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

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

thf(zip_derived_cl23,plain,
    ( sk__1
   != ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ sk__1 @ ( c @ sk__2 ) ) ) ),
    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_cl134,plain,
    ( sk__1
   != ( multiplication @ sk__1 @ ( addition @ sk__2 @ ( c @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl7]) ).

thf(zip_derived_cl774,plain,
    ( ~ ( test @ sk__2 )
    | ( sk__1
     != ( multiplication @ sk__1 @ one ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl508,zip_derived_cl134]) ).

thf(zip_derived_cl22,plain,
    test @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl788,plain,
    sk__1 != sk__1,
    inference(demod,[status(thm)],[zip_derived_cl774,zip_derived_cl22,zip_derived_cl5]) ).

thf(zip_derived_cl789,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl788]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : KLE022+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.q9Em5HRGCw true
% 0.10/0.31  % Computer : n017.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue Aug 29 12:02:43 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.10/0.31  % Running portfolio for 300 s
% 0.10/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31  % Number of cores: 8
% 0.10/0.32  % Python version: Python 3.6.8
% 0.10/0.32  % Running in FO mode
% 0.17/0.60  % Total configuration time : 435
% 0.17/0.60  % Estimated wc time : 1092
% 0.17/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.67  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.68  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.69  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.70  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.71  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.71  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.81  % Solved by fo/fo6_bce.sh.
% 0.51/0.81  % BCE start: 24
% 0.51/0.81  % BCE eliminated: 2
% 0.51/0.81  % PE start: 22
% 0.51/0.81  logic: eq
% 0.51/0.81  % PE eliminated: 0
% 0.51/0.81  % done 99 iterations in 0.095s
% 0.51/0.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.81  % SZS output start Refutation
% See solution above
% 0.51/0.81  
% 0.51/0.81  
% 0.51/0.81  % Terminating...
% 1.65/0.91  % Runner terminated.
% 1.65/0.93  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------