TSTP Solution File: SEV168^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV168^5 : 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.REJNpx3Qmc true

% Computer : n029.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 19:59:52 EDT 2023

% Result   : Theorem 0.22s 0.77s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   8 unt;   3 typ;   0 def)
%            Number of atoms       :   19 (  18 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   59 (   4   ~;   0   |;   4   &;  48   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :   30 (  30   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   60 (  60   ^;   0   !;   0   ?;  60   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(p_type,type,
    p: ( a > a > a ) > a ).

thf(q_type,type,
    q: ( a > a > a ) > a ).

thf(cTHM188_PARTIAL_pme,conjecture,
    ( ( ( p
        = ( ^ [Xg: a > a > a] :
              ( Xg
              @ ( q
                @ ^ [Xx: a,Xy: a] : Xx )
              @ ( q
                @ ^ [Xx: a,Xy: a] : Xy ) ) ) )
      & ( q
        = ( ^ [Xg: a > a > a] :
              ( Xg
              @ ( q
                @ ^ [Xx: a,Xy: a] : Xx )
              @ ( q
                @ ^ [Xx: a,Xy: a] : Xy ) ) ) ) )
   => ( p = q ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( p
          = ( ^ [Xg: a > a > a] :
                ( Xg
                @ ( q
                  @ ^ [Xx: a,Xy: a] : Xx )
                @ ( q
                  @ ^ [Xx: a,Xy: a] : Xy ) ) ) )
        & ( q
          = ( ^ [Xg: a > a > a] :
                ( Xg
                @ ( q
                  @ ^ [Xx: a,Xy: a] : Xx )
                @ ( q
                  @ ^ [Xx: a,Xy: a] : Xy ) ) ) ) )
     => ( p = q ) ),
    inference('cnf.neg',[status(esa)],[cTHM188_PARTIAL_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( ( p
          = ( ^ [Y0: a > a > a] :
                ( Y0
                @ ( q
                  @ ^ [Y1: a,Y2: a] : Y1 )
                @ ( q
                  @ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
        & ( q
          = ( ^ [Y0: a > a > a] :
                ( Y0
                @ ( q
                  @ ^ [Y1: a,Y2: a] : Y1 )
                @ ( q
                  @ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) )
     => ( p = q ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ( ( p
      = ( ^ [Y0: a > a > a] :
            ( Y0
            @ ( q
              @ ^ [Y1: a,Y2: a] : Y1 )
            @ ( q
              @ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
    & ( q
      = ( ^ [Y0: a > a > a] :
            ( Y0
            @ ( q
              @ ^ [Y1: a,Y2: a] : Y1 )
            @ ( q
              @ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ( p
    = ( ^ [Y0: a > a > a] :
          ( Y0
          @ ( q
            @ ^ [Y1: a,Y2: a] : Y1 )
          @ ( q
            @ ^ [Y1: a,Y2: a] : Y2 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ( p
    = ( ^ [Y0: a > a > a] :
          ( Y0
          @ ( q
            @ ^ [Y1: a,Y2: a] : Y1 )
          @ ( q
            @ ^ [Y1: a,Y2: a] : Y2 ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl4,plain,
    ( q
    = ( ^ [Y0: a > a > a] :
          ( Y0
          @ ( q
            @ ^ [Y1: a,Y2: a] : Y1 )
          @ ( q
            @ ^ [Y1: a,Y2: a] : Y2 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl7,plain,
    ( q
    = ( ^ [Y0: a > a > a] :
          ( Y0
          @ ( q
            @ ^ [Y1: a,Y2: a] : Y1 )
          @ ( q
            @ ^ [Y1: a,Y2: a] : Y2 ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl12,plain,
    p = q,
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl7]) ).

thf(zip_derived_cl2,plain,
    p != q,
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
    p != q,
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl13,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl12,zip_derived_cl5]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEV168^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.REJNpx3Qmc true
% 0.14/0.35  % Computer : n029.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 : Thu Aug 24 03:40:08 EDT 2023
% 0.21/0.35  % CPUTime  : 
% 0.21/0.35  % Running portfolio for 300 s
% 0.21/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.35  % Number of cores: 8
% 0.21/0.35  % Python version: Python 3.6.8
% 0.21/0.36  % Running in HO mode
% 0.22/0.70  % Total configuration time : 828
% 0.22/0.70  % Estimated wc time : 1656
% 0.22/0.70  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77  % Solved by lams/35_full_unif4.sh.
% 0.22/0.77  % done 3 iterations in 0.007s
% 0.22/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.77  % SZS output start Refutation
% See solution above
% 0.22/0.77  
% 0.22/0.77  
% 0.22/0.77  % Terminating...
% 0.22/0.80  % Runner terminated.
% 1.17/0.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------