TSTP Solution File: SEU995^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU995^5 : 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.tv4ClpjNob true

% Computer : n019.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 19:19:03 EDT 2023

% Result   : Theorem 1.42s 0.82s
% Output   : Refutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   22 (  14 unt;   2 typ;   0 def)
%            Number of atoms       :   34 (  22 equ;   2 cnn)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  106 (  18   ~;   0   |;   0   &;  76   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   95 (  95   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   2 usr;   6 con; 0-2 aty)
%                                         (   7  !!;   2  ??;   0 @@+;   0 @@-)
%            Number of variables   :   60 (  23   ^;  35   !;   2   ?;  60   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cV_type,type,
    cV: $i ).

thf(cU_type,type,
    cU: $i ).

thf(cTHM24_pme,conjecture,
    ( ( cU != cV )
   => ? [G: ( $i > $i ) > ( $i > $i ) > $i > $i] :
        ~ ! [Xx: $i > $i,Xy: $i > $i] :
            ( ( G @ Xx @ Xy )
            = ( G @ Xy @ Xx ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( cU != cV )
     => ? [G: ( $i > $i ) > ( $i > $i ) > $i > $i] :
          ~ ! [Xx: $i > $i,Xy: $i > $i] :
              ( ( G @ Xx @ Xy )
              = ( G @ Xy @ Xx ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM24_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( cU != cV )
     => ( ??
        @ ^ [Y0: ( $i > $i ) > ( $i > $i ) > $i > $i] :
            ( (~)
            @ ( !!
              @ ^ [Y1: $i > $i] :
                  ( !!
                  @ ^ [Y2: $i > $i] :
                      ( ( Y0 @ Y1 @ Y2 )
                      = ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( ??
      @ ^ [Y0: ( $i > $i ) > ( $i > $i ) > $i > $i] :
          ( (~)
          @ ( !!
            @ ^ [Y1: $i > $i] :
                ( !!
                @ ^ [Y2: $i > $i] :
                    ( ( Y0 @ Y1 @ Y2 )
                    = ( Y0 @ Y2 @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ! [X2: ( $i > $i ) > ( $i > $i ) > $i > $i] :
      ( !!
      @ ^ [Y0: $i > $i] :
          ( !!
          @ ^ [Y1: $i > $i] :
              ( ( X2 @ Y0 @ Y1 )
              = ( X2 @ Y1 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ! [X2: ( $i > $i ) > ( $i > $i ) > $i > $i,X4: $i > $i] :
      ( !!
      @ ^ [Y0: $i > $i] :
          ( ( X2 @ X4 @ Y0 )
          = ( X2 @ Y0 @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
    ! [X2: ( $i > $i ) > ( $i > $i ) > $i > $i,X4: $i > $i,X6: $i > $i] :
      ( ( X2 @ X4 @ X6 )
      = ( X2 @ X6 @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    ! [X2: ( $i > $i ) > ( $i > $i ) > $i > $i,X4: $i > $i,X6: $i > $i] :
      ( ( X2 @ X4 @ X6 )
      = ( X2 @ X6 @ X4 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl8,plain,
    ! [X2: ( $i > $i ) > ( $i > $i ) > $i > $i,X4: $i > $i,X6: $i > $i,X7: $i] :
      ( ( X2 @ X4 @ X6 @ X7 )
      = ( X2 @ X6 @ X4 @ X7 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl9,plain,
    ! [X2: ( $i > $i ) > ( $i > $i ) > $i,X4: $i > $i,X6: $i > $i,X7: $i] :
      ( ( ^ [Y0: $i > $i,Y1: $i > $i,Y2: $i] : ( X2 @ Y0 @ Y1 )
        @ X4
        @ X6
        @ X7 )
      = ( ^ [Y0: $i > $i,Y1: $i > $i,Y2: $i] : ( X2 @ Y0 @ Y1 )
        @ X6
        @ X4
        @ X7 ) ),
    inference(prune_arg_fun,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl10,plain,
    ! [X2: ( $i > $i ) > ( $i > $i ) > $i,X4: $i > $i,X6: $i > $i] :
      ( ( X2 @ X4 @ X6 )
      = ( X2 @ X6 @ X4 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl1,plain,
    cU != cV,
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    cU != cV,
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl13,plain,
    ! [X0: ( $i > $i ) > ( $i > $i ) > $i,X1: $i > $i] :
      ( ( ^ [Y0: $i > $i,Y1: $i > $i] : ( Y0 @ ( X0 @ Y0 @ Y1 ) )
        @ X1
        @ ^ [Y0: $i] : cU )
     != cV ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl3]) ).

thf(zip_derived_cl17,plain,
    ! [X0: ( $i > $i ) > ( $i > $i ) > $i,X1: $i > $i] :
      ( ( X1
        @ ( X0 @ X1
          @ ^ [Y0: $i] : cU ) )
     != cV ),
    inference(ho_norm,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i > $i] :
      ( ( X1
        @ ( ^ [Y0: $i > $i,Y1: $i > $i] : X0
          @ X1
          @ ^ [Y0: $i] : cU ) )
     != cV ),
    inference(prune_arg_fun,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i > $i] :
      ( ( X1 @ X0 )
     != cV ),
    inference(ho_norm,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i] :
      ( ( ^ [Y0: $i] : X1
        @ X0 )
     != cV ),
    inference(prune_arg_fun,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl21,plain,
    ! [X1: $i] : ( X1 != cV ),
    inference(ho_norm,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl22,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl21]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU995^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tv4ClpjNob true
% 0.17/0.35  % Computer : n019.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Wed Aug 23 15:43:29 EDT 2023
% 0.17/0.35  % CPUTime  : 
% 0.17/0.35  % Running portfolio for 300 s
% 0.17/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.36  % Number of cores: 8
% 0.17/0.36  % Python version: Python 3.6.8
% 0.17/0.36  % Running in HO mode
% 0.22/0.69  % Total configuration time : 828
% 0.22/0.69  % Estimated wc time : 1656
% 0.22/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.42/0.82  % Solved by lams/35_full_unif4.sh.
% 1.42/0.82  % done 2 iterations in 0.023s
% 1.42/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.42/0.82  % SZS output start Refutation
% See solution above
% 1.42/0.82  
% 1.42/0.82  
% 1.42/0.82  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.42/0.82  % Terminating...
% 1.42/0.87  % Runner terminated.
% 1.42/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------