TSTP Solution File: KLE114+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE114+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.eGIoKXIyRD true

% Computer : n004.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 05:38:41 EDT 2023

% Result   : Theorem 1.25s 0.75s
% Output   : Refutation 1.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   53 (  43 unt;  10 typ;   0 def)
%            Number of atoms       :   43 (  42 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  137 (   4   ~;   0   |;   0   &; 133   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   32 (   0   ^;  32   !;   0   ?;  32   :)

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

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

thf(sk__type,type,
    sk_: $i ).

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

thf(antidomain_type,type,
    antidomain: $i > $i ).

thf(forward_box_type,type,
    forward_box: $i > $i > $i ).

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

thf(forward_diamond_type,type,
    forward_diamond: $i > $i > $i ).

thf(domain_type,type,
    domain: $i > $i ).

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

thf(goals,conjecture,
    ! [X0: $i] :
      ( ( forward_box @ X0 @ one )
      = one ) ).

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

thf(zip_derived_cl27,plain,
    ( ( forward_box @ sk_ @ one )
   != one ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(forward_box,axiom,
    ! [X0: $i,X1: $i] :
      ( ( forward_box @ X0 @ X1 )
      = ( c @ ( forward_diamond @ X0 @ ( c @ X1 ) ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i] :
      ( ( forward_box @ X0 @ X1 )
      = ( c @ ( forward_diamond @ X0 @ ( c @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[forward_box]) ).

thf(complement,axiom,
    ! [X0: $i] :
      ( ( c @ X0 )
      = ( antidomain @ ( domain @ X0 ) ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i] :
      ( ( c @ X0 )
      = ( antidomain @ ( domain @ X0 ) ) ),
    inference(cnf,[status(esa)],[complement]) ).

thf(domain4,axiom,
    ! [X0: $i] :
      ( ( domain @ X0 )
      = ( antidomain @ ( antidomain @ X0 ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] :
      ( ( domain @ X0 )
      = ( antidomain @ ( antidomain @ X0 ) ) ),
    inference(cnf,[status(esa)],[domain4]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i] :
      ( ( c @ X0 )
      = ( antidomain @ ( antidomain @ ( antidomain @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl16]) ).

thf(forward_diamond,axiom,
    ! [X0: $i,X1: $i] :
      ( ( forward_diamond @ X0 @ X1 )
      = ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i] :
      ( ( forward_diamond @ X0 @ X1 )
      = ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[forward_diamond]) ).

thf(zip_derived_cl16_001,plain,
    ! [X0: $i] :
      ( ( domain @ X0 )
      = ( antidomain @ ( antidomain @ X0 ) ) ),
    inference(cnf,[status(esa)],[domain4]) ).

thf(zip_derived_cl16_002,plain,
    ! [X0: $i] :
      ( ( domain @ X0 )
      = ( antidomain @ ( antidomain @ X0 ) ) ),
    inference(cnf,[status(esa)],[domain4]) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i] :
      ( ( forward_diamond @ X0 @ X1 )
      = ( antidomain @ ( antidomain @ ( multiplication @ X0 @ ( antidomain @ ( antidomain @ X1 ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl16,zip_derived_cl16]) ).

thf(zip_derived_cl34_003,plain,
    ! [X0: $i] :
      ( ( c @ X0 )
      = ( antidomain @ ( antidomain @ ( antidomain @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl16]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i] :
      ( ( forward_box @ X0 @ X1 )
      = ( antidomain @ ( antidomain @ ( antidomain @ ( antidomain @ ( antidomain @ ( multiplication @ X0 @ ( antidomain @ ( antidomain @ ( antidomain @ ( antidomain @ ( antidomain @ X1 ) ) ) ) ) ) ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl34,zip_derived_cl56,zip_derived_cl34]) ).

thf(domain1,axiom,
    ! [X0: $i] :
      ( ( multiplication @ ( antidomain @ X0 ) @ X0 )
      = zero ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ( multiplication @ ( antidomain @ X0 ) @ X0 )
      = zero ),
    inference(cnf,[status(esa)],[domain1]) ).

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_cl35,plain,
    ( zero
    = ( antidomain @ one ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).

thf(zip_derived_cl59,plain,
    ( ( antidomain @ ( antidomain @ ( antidomain @ ( antidomain @ ( antidomain @ ( multiplication @ sk_ @ ( antidomain @ ( antidomain @ ( antidomain @ ( antidomain @ zero ) ) ) ) ) ) ) ) ) )
   != one ),
    inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl58,zip_derived_cl35]) ).

thf(zip_derived_cl35_004,plain,
    ( zero
    = ( antidomain @ one ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).

thf(domain3,axiom,
    ! [X0: $i] :
      ( ( addition @ ( antidomain @ ( antidomain @ X0 ) ) @ ( antidomain @ X0 ) )
      = one ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ( addition @ ( antidomain @ ( antidomain @ X0 ) ) @ ( antidomain @ X0 ) )
      = one ),
    inference(cnf,[status(esa)],[domain3]) ).

thf(zip_derived_cl85,plain,
    ( ( addition @ ( antidomain @ ( antidomain @ one ) ) @ zero )
    = one ),
    inference('sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl15]) ).

thf(zip_derived_cl35_005,plain,
    ( zero
    = ( antidomain @ one ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).

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(zip_derived_cl87,plain,
    ( ( antidomain @ zero )
    = one ),
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl35,zip_derived_cl2]) ).

thf(zip_derived_cl35_006,plain,
    ( zero
    = ( antidomain @ one ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).

thf(zip_derived_cl87_007,plain,
    ( ( antidomain @ zero )
    = one ),
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl35,zip_derived_cl2]) ).

thf(zip_derived_cl35_008,plain,
    ( zero
    = ( antidomain @ one ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).

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

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ( multiplication @ X0 @ zero )
      = zero ),
    inference(cnf,[status(esa)],[right_annihilation]) ).

thf(zip_derived_cl87_009,plain,
    ( ( antidomain @ zero )
    = one ),
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl35,zip_derived_cl2]) ).

thf(zip_derived_cl35_010,plain,
    ( zero
    = ( antidomain @ one ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).

thf(zip_derived_cl87_011,plain,
    ( ( antidomain @ zero )
    = one ),
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl35,zip_derived_cl2]) ).

thf(zip_derived_cl35_012,plain,
    ( zero
    = ( antidomain @ one ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).

thf(zip_derived_cl87_013,plain,
    ( ( antidomain @ zero )
    = one ),
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl35,zip_derived_cl2]) ).

thf(zip_derived_cl117,plain,
    one != one,
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl87,zip_derived_cl35,zip_derived_cl87,zip_derived_cl35,zip_derived_cl9,zip_derived_cl87,zip_derived_cl35,zip_derived_cl87,zip_derived_cl35,zip_derived_cl87]) ).

thf(zip_derived_cl118,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl117]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem  : KLE114+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eGIoKXIyRD true
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 11:43:52 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.20/0.63  % Total configuration time : 435
% 0.20/0.63  % Estimated wc time : 1092
% 0.20/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.25/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.25/0.75  % Solved by fo/fo3_bce.sh.
% 1.25/0.75  % BCE start: 28
% 1.25/0.75  % BCE eliminated: 2
% 1.25/0.75  % PE start: 26
% 1.25/0.75  logic: eq
% 1.25/0.75  % PE eliminated: 0
% 1.25/0.75  % done 34 iterations in 0.017s
% 1.25/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.25/0.75  % SZS output start Refutation
% See solution above
% 1.25/0.75  
% 1.25/0.75  
% 1.25/0.75  % Terminating...
% 1.44/0.83  % Runner terminated.
% 1.44/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------