TSTP Solution File: KLE093+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE093+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.60BqkGRG6B true

% Computer : n009.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 05:38:37 EDT 2023

% Result   : Theorem 0.56s 0.83s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   44 (  30 unt;   7 typ;   0 def)
%            Number of atoms       :   44 (  33 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  187 (   9   ~;   6   |;   0   &; 171   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 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   :   42 (   0   ^;  42   !;   0   ?;  42   :)

% 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(star_type,type,
    star: $i > $i ).

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

thf(leq_type,type,
    leq: $i > $i > $o ).

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

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

thf(zip_derived_cl22,plain,
    ( ( domain @ ( star @ sk_ ) )
   != one ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(star_unfold_right,axiom,
    ! [A: $i] : ( leq @ ( addition @ one @ ( multiplication @ A @ ( star @ A ) ) ) @ ( star @ A ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] : ( leq @ ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) ) @ ( star @ X0 ) ),
    inference(cnf,[status(esa)],[star_unfold_right]) ).

thf(order,axiom,
    ! [A: $i,B: $i] :
      ( ( leq @ A @ B )
    <=> ( ( addition @ A @ B )
        = B ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( addition @ X1 @ X0 )
        = X0 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[order]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i] :
      ( ( addition @ ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) ) @ ( star @ X0 ) )
      = ( star @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl11]) ).

thf(domain5,axiom,
    ! [X0: $i,X1: $i] :
      ( ( domain @ ( addition @ X0 @ X1 ) )
      = ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i] :
      ( ( domain @ ( addition @ X0 @ X1 ) )
      = ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) ) ),
    inference(cnf,[status(esa)],[domain5]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ( ( addition @ X0 @ X1 )
       != X1 ) ),
    inference(cnf,[status(esa)],[order]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( domain @ ( addition @ X1 @ X0 ) )
       != ( domain @ X0 ) )
      | ( leq @ ( domain @ X1 ) @ ( domain @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl12]) ).

thf(zip_derived_cl338,plain,
    ! [X0: $i] :
      ( ( ( domain @ ( star @ X0 ) )
       != ( domain @ ( star @ X0 ) ) )
      | ( leq @ ( domain @ ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) ) ) @ ( domain @ ( star @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl64]) ).

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(domain1,axiom,
    ! [X0: $i] :
      ( ( addition @ X0 @ ( multiplication @ ( domain @ X0 ) @ X0 ) )
      = ( multiplication @ ( domain @ X0 ) @ X0 ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i] :
      ( ( addition @ X0 @ ( multiplication @ ( domain @ X0 ) @ X0 ) )
      = ( multiplication @ ( domain @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[domain1]) ).

thf(zip_derived_cl155,plain,
    ( ( addition @ one @ ( domain @ one ) )
    = ( multiplication @ ( domain @ one ) @ one ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl17]) ).

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

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ( addition @ ( domain @ X0 ) @ one )
      = one ),
    inference(cnf,[status(esa)],[domain3]) ).

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_cl26,plain,
    ! [X0: $i] :
      ( one
      = ( addition @ one @ ( domain @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl0]) ).

thf(zip_derived_cl5_001,plain,
    ! [X0: $i] :
      ( ( multiplication @ X0 @ one )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_right_identity]) ).

thf(zip_derived_cl160,plain,
    ( one
    = ( domain @ one ) ),
    inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl26,zip_derived_cl5]) ).

thf(zip_derived_cl21_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( domain @ ( addition @ X0 @ X1 ) )
      = ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) ) ),
    inference(cnf,[status(esa)],[domain5]) ).

thf(zip_derived_cl241,plain,
    ! [X0: $i] :
      ( ( domain @ ( addition @ one @ X0 ) )
      = ( addition @ one @ ( domain @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl160,zip_derived_cl21]) ).

thf(zip_derived_cl26_003,plain,
    ! [X0: $i] :
      ( one
      = ( addition @ one @ ( domain @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl0]) ).

thf(zip_derived_cl249,plain,
    ! [X0: $i] :
      ( ( domain @ ( addition @ one @ X0 ) )
      = one ),
    inference(demod,[status(thm)],[zip_derived_cl241,zip_derived_cl26]) ).

thf(zip_derived_cl351,plain,
    ! [X0: $i] :
      ( ( ( domain @ ( star @ X0 ) )
       != ( domain @ ( star @ X0 ) ) )
      | ( leq @ one @ ( domain @ ( star @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl338,zip_derived_cl249]) ).

thf(zip_derived_cl352,plain,
    ! [X0: $i] : ( leq @ one @ ( domain @ ( star @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl351]) ).

thf(zip_derived_cl11_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( addition @ X1 @ X0 )
        = X0 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[order]) ).

thf(zip_derived_cl359,plain,
    ! [X0: $i] :
      ( ( addition @ one @ ( domain @ ( star @ X0 ) ) )
      = ( domain @ ( star @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl11]) ).

thf(zip_derived_cl26_005,plain,
    ! [X0: $i] :
      ( one
      = ( addition @ one @ ( domain @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl0]) ).

thf(zip_derived_cl360,plain,
    ! [X0: $i] :
      ( one
      = ( domain @ ( star @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl359,zip_derived_cl26]) ).

thf(zip_derived_cl361,plain,
    one != one,
    inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl360]) ).

thf(zip_derived_cl362,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl361]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : KLE093+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.60BqkGRG6B true
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 11:52:50 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.21/0.36  % Running in FO mode
% 0.55/0.66  % Total configuration time : 435
% 0.55/0.66  % Estimated wc time : 1092
% 0.55/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.83  % Solved by fo/fo5.sh.
% 0.56/0.83  % done 92 iterations in 0.040s
% 0.56/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.83  % SZS output start Refutation
% See solution above
% 0.56/0.83  
% 0.56/0.83  
% 0.56/0.83  % Terminating...
% 1.48/0.89  % Runner terminated.
% 1.48/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------