TSTP Solution File: GRP700+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP700+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.Nln49bZa0H true

% Computer : n020.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 01:52:59 EDT 2023

% Result   : Theorem 0.54s 0.84s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   35 (  26 unt;   4 typ;   0 def)
%            Number of atoms       :   36 (  35 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  182 (   7   ~;   3   |;   2   &; 170   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   46 (   0   ^;  44   !;   2   ?;  46   :)

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

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

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

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

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

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

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( mult @ ( mult @ X0 @ X1 ) @ X0 ) @ X0 )
      = ( mult @ X0 @ ( mult @ ( mult @ ( mult @ X1 @ X0 ) @ X0 ) @ unit ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl6]) ).

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

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( mult @ ( mult @ X0 @ X1 ) @ X0 ) @ X0 )
      = ( mult @ X0 @ ( mult @ ( mult @ X1 @ X0 ) @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl4]) ).

thf(f04,axiom,
    ! [B: $i,A: $i] :
      ( ( rd @ ( mult @ A @ B ) @ B )
      = A ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[f04]) ).

thf(zip_derived_cl125,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ ( mult @ X0 @ ( mult @ ( mult @ X1 @ X0 ) @ X0 ) ) @ X0 )
      = ( mult @ ( mult @ X0 @ X1 ) @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl54,zip_derived_cl3]) ).

thf(zip_derived_cl427,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ ( mult @ X1 @ ( mult @ X0 @ X1 ) ) @ X1 )
      = ( mult @ ( mult @ X1 @ ( rd @ X0 @ X1 ) ) @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl125]) ).

thf(zip_derived_cl459,plain,
    ! [X0: $i] :
      ( ( rd @ ( mult @ X0 @ X0 ) @ X0 )
      = ( mult @ ( mult @ X0 @ ( rd @ unit @ X0 ) ) @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl427]) ).

thf(zip_derived_cl3_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[f04]) ).

thf(zip_derived_cl466,plain,
    ! [X0: $i] :
      ( X0
      = ( mult @ ( mult @ X0 @ ( rd @ unit @ X0 ) ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl459,zip_derived_cl3]) ).

thf(zip_derived_cl3_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[f04]) ).

thf(zip_derived_cl473,plain,
    ! [X0: $i] :
      ( ( rd @ X0 @ X0 )
      = ( mult @ X0 @ ( rd @ unit @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl3]) ).

thf(zip_derived_cl5_004,plain,
    ! [X0: $i] :
      ( ( mult @ unit @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[f06]) ).

thf(zip_derived_cl3_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[f04]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i] :
      ( ( rd @ X0 @ X0 )
      = unit ),
    inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl3]) ).

thf(zip_derived_cl497,plain,
    ! [X0: $i] :
      ( unit
      = ( mult @ X0 @ ( rd @ unit @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl473,zip_derived_cl36]) ).

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

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

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( ( mult @ sk_ @ X0 )
       != unit )
      | ( ( mult @ X0 @ sk_ )
       != unit ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl522,plain,
    ( ( unit != unit )
    | ( ( mult @ ( rd @ unit @ sk_ ) @ sk_ )
     != unit ) ),
    inference('sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl8]) ).

thf(zip_derived_cl2_006,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[f03]) ).

thf(zip_derived_cl537,plain,
    ( ( unit != unit )
    | ( unit != unit ) ),
    inference(demod,[status(thm)],[zip_derived_cl522,zip_derived_cl2]) ).

thf(zip_derived_cl538,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl537]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GRP700+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Nln49bZa0H true
% 0.13/0.34  % Computer : n020.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 : Tue Aug 29 00:29:13 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.61  % Total configuration time : 435
% 0.20/0.61  % Estimated wc time : 1092
% 0.20/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.84  % Solved by fo/fo4.sh.
% 0.54/0.84  % done 54 iterations in 0.066s
% 0.54/0.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.84  % SZS output start Refutation
% See solution above
% 0.54/0.84  
% 0.54/0.84  
% 0.54/0.84  % Terminating...
% 0.56/0.93  % Runner terminated.
% 0.56/0.94  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------