TSTP Solution File: GRP702+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP702+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.QGIojd798i true

% Computer : n005.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 01:53:00 EDT 2023

% Result   : Theorem 1.06s 0.75s
% Output   : Refutation 1.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   37 (  23 unt;   7 typ;   0 def)
%            Number of atoms       :   42 (  41 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  254 (  14   ~;   8   |;   4   &; 228   @)
%                                         (   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   :   27 (   0   ^;  27   !;   0   ?;  27   :)

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

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

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

thf(op_d_type,type,
    op_d: $i ).

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

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

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

thf(goals,conjecture,
    ! [X0: $i,X1: $i] :
      ( ( ( mult @ X0 @ ( mult @ op_d @ X1 ) )
        = ( mult @ ( mult @ X0 @ op_d ) @ X1 ) )
      & ( ( mult @ X0 @ ( mult @ X1 @ op_d ) )
        = ( mult @ ( mult @ X0 @ X1 ) @ op_d ) )
      & ( ( mult @ op_d @ ( mult @ X0 @ X1 ) )
        = ( mult @ ( mult @ op_d @ X0 ) @ X1 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X0: $i,X1: $i] :
        ( ( ( mult @ X0 @ ( mult @ op_d @ X1 ) )
          = ( mult @ ( mult @ X0 @ op_d ) @ X1 ) )
        & ( ( mult @ X0 @ ( mult @ X1 @ op_d ) )
          = ( mult @ ( mult @ X0 @ X1 ) @ op_d ) )
        & ( ( mult @ op_d @ ( mult @ X0 @ X1 ) )
          = ( mult @ ( mult @ op_d @ X0 ) @ X1 ) ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl13,plain,
    ( ( ( mult @ sk_ @ ( mult @ op_d @ sk__1 ) )
     != ( mult @ ( mult @ sk_ @ op_d ) @ sk__1 ) )
    | ( ( mult @ sk_ @ ( mult @ sk__1 @ op_d ) )
     != ( mult @ ( mult @ sk_ @ sk__1 ) @ op_d ) )
    | ( ( mult @ op_d @ ( mult @ sk_ @ sk__1 ) )
     != ( mult @ ( mult @ op_d @ 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(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_cl14,plain,
    ! [X0: $i] :
      ( ( ld @ unit @ X0 )
      = X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).

thf(f11,axiom,
    ! [A: $i] :
      ( op_d
      = ( ld @ A @ ( mult @ op_c @ A ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( op_d
      = ( ld @ X0 @ ( mult @ op_c @ X0 ) ) ),
    inference(cnf,[status(esa)],[f11]) ).

thf(zip_derived_cl17,plain,
    ( op_d
    = ( mult @ op_c @ unit ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl10]) ).

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_cl20,plain,
    op_d = op_c,
    inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl4]) ).

thf(zip_derived_cl20_001,plain,
    op_d = op_c,
    inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl4]) ).

thf(zip_derived_cl20_002,plain,
    op_d = op_c,
    inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl4]) ).

thf(zip_derived_cl20_003,plain,
    op_d = op_c,
    inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl4]) ).

thf(zip_derived_cl20_004,plain,
    op_d = op_c,
    inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl4]) ).

thf(zip_derived_cl20_005,plain,
    op_d = op_c,
    inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl4]) ).

thf(zip_derived_cl23,plain,
    ( ( ( mult @ sk_ @ ( mult @ op_c @ sk__1 ) )
     != ( mult @ ( mult @ sk_ @ op_c ) @ sk__1 ) )
    | ( ( mult @ sk_ @ ( mult @ sk__1 @ op_c ) )
     != ( mult @ ( mult @ sk_ @ sk__1 ) @ op_c ) )
    | ( ( mult @ op_c @ ( mult @ sk_ @ sk__1 ) )
     != ( mult @ ( mult @ op_c @ sk_ ) @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl20,zip_derived_cl20,zip_derived_cl20,zip_derived_cl20,zip_derived_cl20,zip_derived_cl20]) ).

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_cl90,plain,
    ( ( ( mult @ sk_ @ ( mult @ op_c @ sk__1 ) )
     != ( mult @ ( mult @ sk_ @ op_c ) @ sk__1 ) )
    | ( ( mult @ sk_ @ ( mult @ sk__1 @ op_c ) )
     != ( mult @ ( mult @ sk_ @ sk__1 ) @ op_c ) )
    | ( ( mult @ op_c @ ( mult @ sk_ @ sk__1 ) )
     != ( mult @ op_c @ ( mult @ sk_ @ sk__1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl7]) ).

thf(zip_derived_cl91,plain,
    ( ( ( mult @ sk_ @ ( mult @ sk__1 @ op_c ) )
     != ( mult @ ( mult @ sk_ @ sk__1 ) @ op_c ) )
    | ( ( mult @ sk_ @ ( mult @ op_c @ sk__1 ) )
     != ( mult @ ( mult @ sk_ @ op_c ) @ sk__1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl90]) ).

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(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_cl148,plain,
    ( ( ( mult @ sk_ @ ( mult @ sk__1 @ op_c ) )
     != ( mult @ sk_ @ ( mult @ sk__1 @ op_c ) ) )
    | ( ( mult @ sk_ @ ( mult @ op_c @ sk__1 ) )
     != ( mult @ sk_ @ ( mult @ op_c @ sk__1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl8,zip_derived_cl9]) ).

thf(zip_derived_cl149,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl148]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP702+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QGIojd798i true
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 21:16:23 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.06/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.06/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.06/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.06/0.75  % Solved by fo/fo6_bce.sh.
% 1.06/0.75  % BCE start: 14
% 1.06/0.75  % BCE eliminated: 0
% 1.06/0.75  % PE start: 14
% 1.06/0.75  logic: eq
% 1.06/0.75  % PE eliminated: 0
% 1.06/0.75  % done 29 iterations in 0.021s
% 1.06/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.06/0.75  % SZS output start Refutation
% See solution above
% 1.06/0.76  
% 1.06/0.76  
% 1.06/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.06/0.76  % Terminating...
% 1.36/0.84  % Runner terminated.
% 1.64/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------