TSTP Solution File: SEU918^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU918^5 : 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.om62qdwhuM true

% Computer : n031.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 19:18:50 EDT 2023

% Result   : Theorem 0.22s 0.73s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   7 unt;   2 typ;   0 def)
%            Number of atoms       :   11 (  10 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   28 (  10   ~;   0   |;   0   &;  16   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (   2   ^;  14   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(b_type,type,
    b: $i ).

thf(a_type,type,
    a: $i ).

thf(cTHM197_pme,conjecture,
    ( ( a != b )
   => ~ ! [Xf: $i > $i,Xg: $i > $i,Xx: $i] :
          ( ( Xf @ ( Xg @ Xx ) )
          = ( Xg @ ( Xf @ Xx ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( a != b )
     => ~ ! [Xf: $i > $i,Xg: $i > $i,Xx: $i] :
            ( ( Xf @ ( Xg @ Xx ) )
            = ( Xg @ ( Xf @ Xx ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM197_pme]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i > $i,X1: $i > $i,X2: $i] :
      ( ( X1 @ ( X0 @ X2 ) )
      = ( X0 @ ( X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    a != b,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i > $i,X1: $i] :
      ( ( X0
        @ ( ^ [Y0: $i] : a
          @ X1 ) )
     != b ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i > $i] :
      ( ( X0 @ a )
     != b ),
    inference(ho_norm,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ( ^ [Y0: $i] : X0
        @ a )
     != b ),
    inference(prune_arg_fun,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] : ( X0 != b ),
    inference(ho_norm,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl11,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl10]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SEU918^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.om62qdwhuM true
% 0.14/0.35  % Computer : n031.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 : Wed Aug 23 19:27:35 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
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.22/0.67  % Total configuration time : 828
% 0.22/0.67  % Estimated wc time : 1656
% 0.22/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.73  % Solved by lams/40_c.s.sh.
% 0.22/0.73  % done 1 iterations in 0.010s
% 0.22/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.73  % SZS output start Refutation
% See solution above
% 0.22/0.73  
% 0.22/0.73  
% 0.22/0.73  % Terminating...
% 0.22/0.76  % Runner terminated.
% 1.31/0.77  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------