TSTP Solution File: NUM647^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM647^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BqD6wCwrb9 true

% Computer : n016.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 12:43:03 EDT 2023

% Result   : Theorem 0.21s 0.70s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (  10 unt;   6 typ;   0 def)
%            Number of atoms       :   14 (  13 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   35 (   5   ~;   1   |;   0   &;  28   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   10 (   0   ^;  10   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nat_type,type,
    nat: $tType ).

thf(pl_type,type,
    pl: nat > nat > nat ).

thf(y_type,type,
    y: nat ).

thf(z_type,type,
    z: nat ).

thf(x_type,type,
    x: nat ).

thf('#_fresh_sk1_type',type,
    '#_fresh_sk1': nat > nat > nat ).

thf(i,axiom,
    ( ( pl @ x @ y )
    = ( pl @ x @ z ) ) ).

thf(zip_derived_cl0,plain,
    ( ( pl @ x @ y )
    = ( pl @ x @ z ) ),
    inference(cnf,[status(esa)],[i]) ).

thf(satz8,axiom,
    ! [Xx: nat,Xy: nat,Xz: nat] :
      ( ( Xy != Xz )
     => ( ( pl @ Xx @ Xy )
       != ( pl @ Xx @ Xz ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( ( pl @ X0 @ X2 )
       != ( pl @ X0 @ X1 ) )
      | ( X2 = X1 ) ),
    inference(cnf,[status(esa)],[satz8]) ).

thf(zip_derived_cl17,plain,
    ! [X0: nat,X2: nat] :
      ( ( '#_fresh_sk1' @ X0 @ ( pl @ X0 @ X2 ) )
      = X2 ),
    inference(inj_rec,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl31,plain,
    ( ( '#_fresh_sk1' @ x @ ( pl @ x @ y ) )
    = z ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl17]) ).

thf(zip_derived_cl17_001,plain,
    ! [X0: nat,X2: nat] :
      ( ( '#_fresh_sk1' @ X0 @ ( pl @ X0 @ X2 ) )
      = X2 ),
    inference(inj_rec,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl35,plain,
    y = z,
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl17]) ).

thf(satz8a,conjecture,
    y = z ).

thf(zf_stmt_0,negated_conjecture,
    y != z,
    inference('cnf.neg',[status(esa)],[satz8a]) ).

thf(zip_derived_cl3,plain,
    y != z,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl35,zip_derived_cl3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM647^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BqD6wCwrb9 true
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Aug 25 10:51:55 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.21/0.61  % Total configuration time : 828
% 0.21/0.61  % Estimated wc time : 1656
% 0.21/0.61  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.66  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.68  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.69  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.70  % Solved by lams/40_c.s.sh.
% 0.21/0.70  % done 4 iterations in 0.010s
% 0.21/0.70  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.70  % SZS output start Refutation
% See solution above
% 0.21/0.70  
% 0.21/0.70  
% 0.21/0.70  % Terminating...
% 1.00/0.81  % Runner terminated.
% 1.00/0.82  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------