TSTP Solution File: KLE021+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE021+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.uq9bv6wgLI 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 05:38:19 EDT 2023

% Result   : Theorem 1.33s 0.80s
% Output   : Refutation 1.33s
% 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       :   35 (  20 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  122 (  12   ~;   7   |;   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   :   27 (   0   ^;  27   !;   0   ?;  27   :)

% 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(zip_derived_cl83,plain,
    ! [X0: $i] :
      ( ( complement @ X0 @ ( c @ X0 ) )
      | ~ ( test @ X0 ) ),
    inference(eq_res,[status(thm)],[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_cl252,plain,
    ! [X0: $i] :
      ( ~ ( test @ X0 )
      | ( ( addition @ ( c @ X0 ) @ X0 )
        = one ) ),
    inference('sup-',[status(thm)],[zip_derived_cl83,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_cl412,plain,
    ! [X0: $i] :
      ( ( ( addition @ X0 @ ( c @ X0 ) )
        = one )
      | ~ ( test @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl252,zip_derived_cl0]) ).

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

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

thf(zip_derived_cl23,plain,
    ( sk__1
   != ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( multiplication @ ( addition @ X0 @ X2 ) @ X1 )
      = ( addition @ ( multiplication @ X0 @ X1 ) @ ( multiplication @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[left_distributivity]) ).

thf(zip_derived_cl156,plain,
    ( sk__1
   != ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl8]) ).

thf(zip_derived_cl490,plain,
    ( ( sk__1
     != ( multiplication @ one @ sk__1 ) )
    | ~ ( test @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl156]) ).

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

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( multiplication @ one @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_left_identity]) ).

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

thf(zip_derived_cl503,plain,
    sk__1 != sk__1,
    inference(demod,[status(thm)],[zip_derived_cl490,zip_derived_cl6,zip_derived_cl22]) ).

thf(zip_derived_cl504,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl503]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KLE021+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uq9bv6wgLI true
% 0.13/0.34  % Computer : n017.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 : Tue Aug 29 11:52:13 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.19/0.64  % Total configuration time : 435
% 0.19/0.64  % Estimated wc time : 1092
% 0.19/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.33/0.80  % Solved by fo/fo5.sh.
% 1.33/0.80  % done 120 iterations in 0.048s
% 1.33/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.33/0.80  % SZS output start Refutation
% See solution above
% 1.33/0.80  
% 1.33/0.80  
% 1.33/0.80  % Terminating...
% 1.57/0.84  % Runner terminated.
% 1.57/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------