TSTP Solution File: KLE150+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE150+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.H2OSVYKYZ3 true

% Computer : n002.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 05:38:50 EDT 2023

% Result   : Theorem 1.37s 0.89s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   22 (  16 unt;   6 typ;   0 def)
%            Number of atoms       :   16 (  15 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   98 (   3   ~;   0   |;   0   &;  95   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^;  20   !;   0   ?;  20   :)

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

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

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

thf(strong_iteration_type,type,
    strong_iteration: $i > $i ).

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

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

thf(goals,conjecture,
    ! [X0: $i] :
      ( ( strong_iteration @ ( multiplication @ X0 @ zero ) )
      = ( addition @ one @ ( multiplication @ X0 @ zero ) ) ) ).

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

thf(zip_derived_cl19,plain,
    ( ( strong_iteration @ ( multiplication @ sk_ @ zero ) )
   != ( addition @ one @ ( multiplication @ sk_ @ zero ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

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

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

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( multiplication @ X0 @ ( multiplication @ X1 @ X2 ) )
      = ( multiplication @ ( multiplication @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[multiplicative_associativity]) ).

thf(infty_unfold1,axiom,
    ! [A: $i] :
      ( ( strong_iteration @ A )
      = ( addition @ ( multiplication @ A @ ( strong_iteration @ A ) ) @ one ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( ( strong_iteration @ X0 )
      = ( addition @ ( multiplication @ X0 @ ( strong_iteration @ X0 ) ) @ one ) ),
    inference(cnf,[status(esa)],[infty_unfold1]) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i,X1: $i] :
      ( ( strong_iteration @ ( multiplication @ X1 @ X0 ) )
      = ( addition @ ( multiplication @ X1 @ ( multiplication @ X0 @ ( strong_iteration @ ( multiplication @ X1 @ X0 ) ) ) ) @ one ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl14]) ).

thf(zip_derived_cl645,plain,
    ! [X0: $i] :
      ( ( strong_iteration @ ( multiplication @ X0 @ zero ) )
      = ( addition @ ( multiplication @ X0 @ zero ) @ one ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl73]) ).

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_cl655,plain,
    ! [X0: $i] :
      ( ( strong_iteration @ ( multiplication @ X0 @ zero ) )
      = ( addition @ one @ ( multiplication @ X0 @ zero ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl645,zip_derived_cl0]) ).

thf(zip_derived_cl665,plain,
    ( ( addition @ one @ ( multiplication @ sk_ @ zero ) )
   != ( addition @ one @ ( multiplication @ sk_ @ zero ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl655]) ).

thf(zip_derived_cl666,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl665]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KLE150+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.H2OSVYKYZ3 true
% 0.14/0.34  % Computer : n002.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Aug 29 11:12:50 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in FO mode
% 0.20/0.67  % Total configuration time : 435
% 0.20/0.67  % Estimated wc time : 1092
% 0.20/0.67  % Estimated cpu time (7 cpus) : 156.0
% 1.25/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.25/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.25/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.25/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.25/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.25/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.25/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.37/0.89  % Solved by fo/fo6_bce.sh.
% 1.37/0.89  % BCE start: 20
% 1.37/0.89  % BCE eliminated: 0
% 1.37/0.89  % PE start: 20
% 1.37/0.89  logic: eq
% 1.37/0.89  % PE eliminated: 0
% 1.37/0.89  % done 81 iterations in 0.124s
% 1.37/0.89  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.37/0.89  % SZS output start Refutation
% See solution above
% 1.37/0.89  
% 1.37/0.89  
% 1.37/0.89  % Terminating...
% 1.62/0.96  % Runner terminated.
% 1.62/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------