TSTP Solution File: GRP704+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP704+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.OPqAEpIKj0 true

% Computer : n001.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 01:53:02 EDT 2023

% Result   : Theorem 0.21s 0.76s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   33 (  22 unt;   7 typ;   0 def)
%            Number of atoms       :   34 (  33 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  197 (   7   ~;   4   |;   4   &; 182   @)
%                                         (   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   :   29 (   0   ^;  29   !;   0   ?;  29   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ld_type,type,
    ld: $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_f_type,type,
    op_f: $i ).

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

thf(goals,conjecture,
    ! [X4: $i,X5: $i] :
      ( ( ( mult @ X4 @ ( mult @ op_f @ X5 ) )
        = ( mult @ ( mult @ X4 @ op_f ) @ X5 ) )
      & ( ( mult @ X4 @ ( mult @ X5 @ op_f ) )
        = ( mult @ ( mult @ X4 @ X5 ) @ op_f ) )
      & ( ( mult @ op_f @ ( mult @ X4 @ X5 ) )
        = ( mult @ ( mult @ op_f @ X4 ) @ X5 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X4: $i,X5: $i] :
        ( ( ( mult @ X4 @ ( mult @ op_f @ X5 ) )
          = ( mult @ ( mult @ X4 @ op_f ) @ X5 ) )
        & ( ( mult @ X4 @ ( mult @ X5 @ op_f ) )
          = ( mult @ ( mult @ X4 @ X5 ) @ op_f ) )
        & ( ( mult @ op_f @ ( mult @ X4 @ X5 ) )
          = ( mult @ ( mult @ op_f @ X4 ) @ X5 ) ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

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

thf(f06,axiom,
    ! [A: $i] :
      ( ( mult @ unit @ A )
      = A ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( mult @ unit @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[f06]) ).

thf(f13,axiom,
    ! [B: $i,A: $i] :
      ( op_f
      = ( mult @ A @ ( mult @ B @ ( ld @ ( mult @ A @ B ) @ op_c ) ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( op_f
      = ( mult @ X0 @ ( mult @ X1 @ ( ld @ ( mult @ X0 @ X1 ) @ op_c ) ) ) ),
    inference(cnf,[status(esa)],[f13]) ).

thf(zip_derived_cl201,plain,
    ! [X0: $i] :
      ( op_f
      = ( mult @ X0 @ ( ld @ ( mult @ X0 @ unit ) @ op_c ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl12]) ).

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(f01,axiom,
    ! [B: $i,A: $i] :
      ( ( mult @ A @ ( ld @ A @ B ) )
      = B ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f01]) ).

thf(zip_derived_cl213,plain,
    op_f = op_c,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl4,zip_derived_cl0]) ).

thf(zip_derived_cl213_001,plain,
    op_f = op_c,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl4,zip_derived_cl0]) ).

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_cl213_002,plain,
    op_f = op_c,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl4,zip_derived_cl0]) ).

thf(zip_derived_cl213_003,plain,
    op_f = op_c,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl4,zip_derived_cl0]) ).

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_cl213_004,plain,
    op_f = op_c,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl4,zip_derived_cl0]) ).

thf(zip_derived_cl213_005,plain,
    op_f = op_c,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl4,zip_derived_cl0]) ).

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_cl244,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_cl213,zip_derived_cl213,zip_derived_cl9,zip_derived_cl213,zip_derived_cl213,zip_derived_cl8,zip_derived_cl213,zip_derived_cl213,zip_derived_cl7]) ).

thf(zip_derived_cl245,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl244]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP704+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OPqAEpIKj0 true
% 0.17/0.34  % Computer : n001.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Aug 29 02:54:51 EDT 2023
% 0.17/0.34  % CPUTime  : 
% 0.17/0.34  % Running portfolio for 300 s
% 0.17/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.34  % Number of cores: 8
% 0.17/0.35  % Python version: Python 3.6.8
% 0.17/0.35  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76  % Solved by fo/fo6_bce.sh.
% 0.21/0.76  % BCE start: 14
% 0.21/0.76  % BCE eliminated: 0
% 0.21/0.76  % PE start: 14
% 0.21/0.76  logic: eq
% 0.21/0.76  % PE eliminated: 0
% 0.21/0.76  % done 40 iterations in 0.031s
% 0.21/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.76  % SZS output start Refutation
% See solution above
% 0.21/0.76  
% 0.21/0.76  
% 0.21/0.76  % Terminating...
% 1.47/0.85  % Runner terminated.
% 1.47/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------