TSTP Solution File: KLE006+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE006+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.wdzT5DUMuc 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 05:38:13 EDT 2023

% Result   : Theorem 1.37s 0.79s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   23 (   5 unt;   8 typ;   0 def)
%            Number of atoms       :   29 (  18 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   75 (  10   ~;   7   |;   2   &;  51   @)
%                                         (   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     :   10 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   17 (   0   ^;  17   !;   0   ?;  17   :)

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

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

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

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

thf(zip_derived_cl22,plain,
    test @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl65,plain,
    ! [X0: $i] :
      ( ( ( c @ sk__1 )
       != X0 )
      | ( complement @ sk__1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl22,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_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( addition @ X0 @ X1 )
        = one )
      | ~ ( complement @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[test_2]) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i] :
      ( ( ( c @ sk__1 )
       != X0 )
      | ( ( addition @ X0 @ sk__1 )
        = one ) ),
    inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl17]) ).

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_cl99,plain,
    ! [X0: $i] :
      ( ( ( addition @ sk__1 @ X0 )
        = one )
      | ( ( c @ sk__1 )
       != X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl90,zip_derived_cl0]) ).

thf(zip_derived_cl23,plain,
    ( one
   != ( addition @ sk__1 @ ( c @ sk__1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl110,plain,
    ( ( one != one )
    | ( ( c @ sk__1 )
     != ( c @ sk__1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl23]) ).

thf(zip_derived_cl111,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl110]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : KLE006+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wdzT5DUMuc true
% 0.15/0.36  % Computer : n005.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Tue Aug 29 11:29:07 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/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
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.87/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.87/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.87/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.87/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.87/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.87/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.37/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.37/0.79  % Solved by fo/fo3_bce.sh.
% 1.37/0.79  % BCE start: 24
% 1.37/0.79  % BCE eliminated: 2
% 1.37/0.79  % PE start: 22
% 1.37/0.79  logic: eq
% 1.37/0.79  % PE eliminated: -3
% 1.37/0.79  % done 26 iterations in 0.015s
% 1.37/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.37/0.79  % SZS output start Refutation
% See solution above
% 1.37/0.79  
% 1.37/0.79  
% 1.37/0.79  % Terminating...
% 1.44/0.86  % Runner terminated.
% 1.44/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------