TSTP Solution File: SEU933^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU933^5 : 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.gsfLytIAWm true

% Computer : n011.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 19:18:53 EDT 2023

% Result   : Theorem 2.45s 0.96s
% Output   : Refutation 2.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (  15 unt;   4 typ;   0 def)
%            Number of atoms       :   27 (  19 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  148 (  19   ~;  24   |;   4   &;  89   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   53 (  53   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-3 aty)
%            Number of variables   :  105 (  60   ^;  45   !;   0   ?; 105   :)

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

thf(sk__1_type,type,
    sk__1: ( $i > $i ) > ( $i > $i ) > ( $i > $i ) > $o ).

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

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

thf(cTHM196B_pme,conjecture,
    ( ( a != b )
   => ~ ! [Xj: $i > $i,Xk: $i > $i] :
          ( ! [Xp: ( $i > $i ) > $o] :
              ( ( ( Xp @ Xj )
                & ! [Xj_2: $i > $i] :
                    ( ( Xp @ Xj_2 )
                   => ( Xp
                      @ ^ [Xx: $i] : ( Xj @ ( Xj_2 @ Xx ) ) ) ) )
             => ( Xp
                @ ^ [Xx: $i] : ( Xk @ ( Xj @ Xx ) ) ) )
         => ! [Xp: ( $i > $i ) > $o] :
              ( ( ( Xp @ Xj )
                & ! [Xj_3: $i > $i] :
                    ( ( Xp @ Xj_3 )
                   => ( Xp
                      @ ^ [Xx: $i] : ( Xj @ ( Xj_3 @ Xx ) ) ) ) )
             => ( Xp @ Xk ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( a != b )
     => ~ ! [Xj: $i > $i,Xk: $i > $i] :
            ( ! [Xp: ( $i > $i ) > $o] :
                ( ( ( Xp @ Xj )
                  & ! [Xj_2: $i > $i] :
                      ( ( Xp @ Xj_2 )
                     => ( Xp
                        @ ^ [Xx: $i] : ( Xj @ ( Xj_2 @ Xx ) ) ) ) )
               => ( Xp
                  @ ^ [Xx: $i] : ( Xk @ ( Xj @ Xx ) ) ) )
           => ! [Xp: ( $i > $i ) > $o] :
                ( ( ( Xp @ Xj )
                  & ! [Xj_3: $i > $i] :
                      ( ( Xp @ Xj_3 )
                     => ( Xp
                        @ ^ [Xx: $i] : ( Xj @ ( Xj_3 @ Xx ) ) ) ) )
               => ( Xp @ Xk ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM196B_pme]) ).

thf(zip_derived_cl6,plain,
    ! [X0: ( $i > $i ) > $o,X1: $i > $i,X2: $i > $i] :
      ( ~ ( X0 @ X1 )
      | ~ ( X0
          @ ^ [Y0: $i] : ( X1 @ ( sk_ @ X0 @ X1 @ Y0 ) ) )
      | ( X0 @ X2 )
      | ( sk__1 @ X2 @ X1 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    ! [X0: ( $i > $i ) > $o,X1: $i,X2: $i > $i] :
      ( ( sk__1 @ X2
        @ ^ [Y0: $i] : X1
        @ ^ [Y0: $i] : X1 )
      | ( X0 @ X2 )
      | ~ ( X0
          @ ^ [Y0: $i] :
              ( ^ [Y1: $i] : X1
              @ ( sk_ @ X0
                @ ^ [Y1: $i] : X1
                @ Y0 ) ) ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl15,plain,
    ! [X0: ( $i > $i ) > $o,X1: $i,X2: $i > $i] :
      ( ( sk__1 @ X2
        @ ^ [Y0: $i] : X1
        @ ^ [Y0: $i] : X1 )
      | ( X0 @ X2 )
      | ~ ( X0
          @ ^ [Y0: $i] : X1 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i > $i] :
      ( ( sk__1 @ X1
        @ ^ [Y0: $i] : X0
        @ ^ [Y0: $i] : X0 )
      | ( ^ [Y0: $i > $i] :
            ( Y0
            = ( ^ [Y1: $i] : X0 ) )
        @ X1 ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i > $i] :
      ( ( sk__1 @ X1
        @ ^ [Y0: $i] : X0
        @ ^ [Y0: $i] : X0 )
      | ( X1
        = ( ^ [Y0: $i] : X0 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i > $i] :
      ( ( sk__1 @ X1
        @ ^ [Y0: $i] : X0
        @ ^ [Y0: $i] : X0 )
      | ( X1
        = ( ^ [Y0: $i] : X0 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl47]) ).

thf(zip_derived_cl4,plain,
    ! [X0: ( $i > $i ) > $o,X1: $i > $i,X2: $i > $i] :
      ( ~ ( X0 @ X1 )
      | ~ ( X0
          @ ^ [Y0: $i] : ( X1 @ ( sk_ @ X0 @ X1 @ Y0 ) ) )
      | ( X0 @ X2 )
      | ~ ( sk__1 @ X2 @ X1
          @ ^ [Y0: $i] : ( X2 @ ( X1 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl237,plain,
    ! [X0: $i,X1: ( $i > $i ) > $o] :
      ( ( ( ^ [Y0: $i] : Y0 )
        = ( ^ [Y0: $i] : X0 ) )
      | ( X1
        @ ^ [Y0: $i] : Y0 )
      | ~ ( X1
          @ ^ [Y0: $i] :
              ( ^ [Y1: $i] : X0
              @ ( sk_ @ X1
                @ ^ [Y1: $i] : X0
                @ Y0 ) ) )
      | ~ ( X1
          @ ^ [Y0: $i] : X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl4]) ).

thf(zip_derived_cl269,plain,
    ! [X0: $i,X1: ( $i > $i ) > $o] :
      ( ( ( ^ [Y0: $i] : Y0 )
        = ( ^ [Y0: $i] : X0 ) )
      | ( X1
        @ ^ [Y0: $i] : Y0 )
      | ~ ( X1
          @ ^ [Y0: $i] : X0 )
      | ~ ( X1
          @ ^ [Y0: $i] : X0 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl237]) ).

thf(zip_derived_cl270,plain,
    ! [X0: $i,X1: ( $i > $i ) > $o] :
      ( ~ ( X1
          @ ^ [Y0: $i] : X0 )
      | ( X1
        @ ^ [Y0: $i] : Y0 )
      | ( ( ^ [Y0: $i] : Y0 )
        = ( ^ [Y0: $i] : X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl269]) ).

thf(zip_derived_cl284,plain,
    ! [X0: $i] :
      ( ( ( ^ [Y0: $i] : Y0 )
        = ( ^ [Y0: $i] : X0 ) )
      | ( ^ [Y0: $i > $i] :
            ( Y0
            = ( ^ [Y1: $i] : X0 ) )
        @ ^ [Y0: $i] : Y0 ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl270]) ).

thf(zip_derived_cl287,plain,
    ! [X0: $i] :
      ( ( ( ^ [Y0: $i] : Y0 )
        = ( ^ [Y0: $i] : X0 ) )
      | ( ( ^ [Y0: $i] : Y0 )
        = ( ^ [Y0: $i] : X0 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl284]) ).

thf(zip_derived_cl288,plain,
    ! [X0: $i] :
      ( ( ( ^ [Y0: $i] : Y0 )
        = ( ^ [Y0: $i] : X0 ) )
      | ( ( ^ [Y0: $i] : Y0 )
        = ( ^ [Y0: $i] : X0 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl287]) ).

thf(zip_derived_cl289,plain,
    ! [X0: $i] :
      ( ( ^ [Y0: $i] : Y0 )
      = ( ^ [Y0: $i] : X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl288]) ).

thf(zip_derived_cl347,plain,
    ! [X0: $i,X1: $i] :
      ( ( ^ [Y0: $i] : Y0
        @ X1 )
      = ( ^ [Y0: $i] : X0
        @ X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl289]) ).

thf(zip_derived_cl348,plain,
    ! [X0: $i,X1: $i] : ( X1 = X0 ),
    inference(ho_norm,[status(thm)],[zip_derived_cl347]) ).

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

thf(zip_derived_cl437,plain,
    ! [X0: $i] : ( X0 != b ),
    inference('sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl0]) ).

thf(zip_derived_cl439,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl437]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU933^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gsfLytIAWm true
% 0.12/0.34  % Computer : n011.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Aug 23 18:28:37 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in HO mode
% 0.21/0.63  % Total configuration time : 828
% 0.21/0.63  % Estimated wc time : 1656
% 0.21/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 2.45/0.96  % Solved by lams/40_noforms.sh.
% 2.45/0.96  % done 14 iterations in 0.183s
% 2.45/0.96  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.45/0.96  % SZS output start Refutation
% See solution above
% 2.45/0.96  
% 2.45/0.96  
% 2.45/0.96  % Terminating...
% 2.68/1.05  % Runner terminated.
% 2.68/1.07  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------