TSTP Solution File: GRP703+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP703+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.ROt0UJPoNA true

% Computer : n013.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 01:53:01 EDT 2023

% Result   : Theorem 0.57s 0.76s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   36 (  25 unt;   7 typ;   0 def)
%            Number of atoms       :   37 (  36 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  239 (   7   ~;   4   |;   4   &; 224   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   38 (   0   ^;  38   !;   0   ?;  38   :)

% Comments : 
%------------------------------------------------------------------------------
thf(rd_type,type,
    rd: $i > $i > $i ).

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

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

thf(mult_type,type,
    mult: $i > $i > $i ).

thf(op_c_type,type,
    op_c: $i ).

thf(op_e_type,type,
    op_e: $i ).

thf(unit_type,type,
    unit: $i ).

thf(goals,conjecture,
    ! [X2: $i,X3: $i] :
      ( ( ( mult @ X2 @ ( mult @ op_e @ X3 ) )
        = ( mult @ ( mult @ X2 @ op_e ) @ X3 ) )
      & ( ( mult @ X2 @ ( mult @ X3 @ op_e ) )
        = ( mult @ ( mult @ X2 @ X3 ) @ op_e ) )
      & ( ( mult @ op_e @ ( mult @ X2 @ X3 ) )
        = ( mult @ ( mult @ op_e @ X2 ) @ X3 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X2: $i,X3: $i] :
        ( ( ( mult @ X2 @ ( mult @ op_e @ X3 ) )
          = ( mult @ ( mult @ X2 @ op_e ) @ X3 ) )
        & ( ( mult @ X2 @ ( mult @ X3 @ op_e ) )
          = ( mult @ ( mult @ X2 @ X3 ) @ op_e ) )
        & ( ( mult @ op_e @ ( mult @ X2 @ X3 ) )
          = ( mult @ ( mult @ op_e @ X2 ) @ X3 ) ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl13,plain,
    ( ( ( mult @ sk_ @ ( mult @ op_e @ sk__1 ) )
     != ( mult @ ( mult @ sk_ @ op_e ) @ sk__1 ) )
    | ( ( mult @ sk_ @ ( mult @ sk__1 @ op_e ) )
     != ( mult @ ( mult @ sk_ @ sk__1 ) @ op_e ) )
    | ( ( mult @ op_e @ ( mult @ sk_ @ sk__1 ) )
     != ( mult @ ( mult @ op_e @ sk_ ) @ sk__1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(f07,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( mult @ A @ ( mult @ B @ ( mult @ B @ C ) ) )
      = ( mult @ ( mult @ ( mult @ A @ B ) @ B ) @ C ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( mult @ X0 @ ( mult @ X1 @ ( mult @ X1 @ X2 ) ) )
      = ( mult @ ( mult @ ( mult @ X0 @ X1 ) @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[f07]) ).

thf(f05,axiom,
    ! [A: $i] :
      ( ( mult @ A @ unit )
      = A ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( mult @ X0 @ unit )
      = X0 ),
    inference(cnf,[status(esa)],[f05]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X1 @ ( mult @ X0 @ ( mult @ X0 @ unit ) ) )
      = ( mult @ ( mult @ X1 @ X0 ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl4]) ).

thf(zip_derived_cl4_001,plain,
    ! [X0: $i] :
      ( ( mult @ X0 @ unit )
      = X0 ),
    inference(cnf,[status(esa)],[f05]) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X1 @ ( mult @ X0 @ X0 ) )
      = ( mult @ ( mult @ X1 @ X0 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl4]) ).

thf(f12,axiom,
    ! [B: $i,A: $i] :
      ( op_e
      = ( mult @ ( mult @ ( rd @ op_c @ ( mult @ A @ B ) ) @ B ) @ A ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( op_e
      = ( mult @ ( mult @ ( rd @ op_c @ ( mult @ X0 @ X1 ) ) @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[f12]) ).

thf(zip_derived_cl170,plain,
    ! [X0: $i] :
      ( op_e
      = ( mult @ ( rd @ op_c @ ( mult @ X0 @ X0 ) ) @ ( mult @ X0 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl48,zip_derived_cl11]) ).

thf(f03,axiom,
    ! [B: $i,A: $i] :
      ( ( mult @ ( rd @ A @ B ) @ B )
      = A ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[f03]) ).

thf(zip_derived_cl182,plain,
    op_e = op_c,
    inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl2]) ).

thf(zip_derived_cl182_002,plain,
    op_e = op_c,
    inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl2]) ).

thf(f10,axiom,
    ! [B: $i,A: $i] :
      ( ( mult @ A @ ( mult @ op_c @ B ) )
      = ( mult @ ( mult @ A @ op_c ) @ B ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X0 @ ( mult @ op_c @ X1 ) )
      = ( mult @ ( mult @ X0 @ op_c ) @ X1 ) ),
    inference(cnf,[status(esa)],[f10]) ).

thf(zip_derived_cl182_003,plain,
    op_e = op_c,
    inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl2]) ).

thf(zip_derived_cl182_004,plain,
    op_e = op_c,
    inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl2]) ).

thf(f09,axiom,
    ! [B: $i,A: $i] :
      ( ( mult @ A @ ( mult @ B @ op_c ) )
      = ( mult @ ( mult @ A @ B ) @ op_c ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X0 @ ( mult @ X1 @ op_c ) )
      = ( mult @ ( mult @ X0 @ X1 ) @ op_c ) ),
    inference(cnf,[status(esa)],[f09]) ).

thf(zip_derived_cl182_005,plain,
    op_e = op_c,
    inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl2]) ).

thf(zip_derived_cl182_006,plain,
    op_e = op_c,
    inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl2]) ).

thf(f08,axiom,
    ! [B: $i,A: $i] :
      ( ( mult @ op_c @ ( mult @ A @ B ) )
      = ( mult @ ( mult @ op_c @ A ) @ B ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ op_c @ ( mult @ X0 @ X1 ) )
      = ( mult @ ( mult @ op_c @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[f08]) ).

thf(zip_derived_cl188,plain,
    ( ( ( mult @ sk_ @ ( mult @ op_c @ sk__1 ) )
     != ( mult @ sk_ @ ( mult @ op_c @ sk__1 ) ) )
    | ( ( mult @ sk_ @ ( mult @ sk__1 @ op_c ) )
     != ( mult @ sk_ @ ( mult @ sk__1 @ op_c ) ) )
    | ( ( mult @ op_c @ ( mult @ sk_ @ sk__1 ) )
     != ( mult @ op_c @ ( mult @ sk_ @ sk__1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl182,zip_derived_cl182,zip_derived_cl9,zip_derived_cl182,zip_derived_cl182,zip_derived_cl8,zip_derived_cl182,zip_derived_cl182,zip_derived_cl7]) ).

thf(zip_derived_cl189,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl188]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP703+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ROt0UJPoNA true
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Tue Aug 29 00:00:02 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.37  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.49/0.66  % Total configuration time : 435
% 0.49/0.66  % Estimated wc time : 1092
% 0.49/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76  % Solved by fo/fo6_bce.sh.
% 0.57/0.76  % BCE start: 14
% 0.57/0.76  % BCE eliminated: 0
% 0.57/0.76  % PE start: 14
% 0.57/0.76  logic: eq
% 0.57/0.76  % PE eliminated: 0
% 0.57/0.76  % done 31 iterations in 0.025s
% 0.57/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.76  % SZS output start Refutation
% See solution above
% 0.57/0.76  
% 0.57/0.76  
% 0.57/0.76  % Terminating...
% 0.62/0.87  % Runner terminated.
% 1.63/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------