TSTP Solution File: SEV290^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV290^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YgDxtWDIkk true

% Computer : n007.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 20:00:19 EDT 2023

% Result   : Theorem 1.43s 0.81s
% Output   : Refutation 1.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   15 (   8 unt;   4 typ;   0 def)
%            Number of atoms       :   26 (  11 equ;   0 cnn)
%            Maximal formula atoms :    2 (   2 avg)
%            Number of connectives :   79 (   6   ~;   0   |;  15   &;  45   @)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   85 (  85   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   41 (  19   ^;  14   !;   8   ?;  41   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c0_type,type,
    c0: ( $i > $o ) > $o ).

thf(c_less__eq__type,type,
    c_less__eq_: ( ( $i > $o ) > $o ) > ( ( $i > $o ) > $o ) > $o ).

thf(cSUCC_type,type,
    cSUCC: ( ( $i > $o ) > $o ) > ( $i > $o ) > $o ).

thf(sk__3_type,type,
    sk__3: ( ( ( $i > $o ) > $o ) > $o ) > ( $i > $o ) > $o ).

thf(c_less__eq__def,axiom,
    ( c_less__eq_
    = ( ^ [Xx: ( $i > $o ) > $o,Xy: ( $i > $o ) > $o] :
        ! [Xp: ( ( $i > $o ) > $o ) > $o] :
          ( ( ( Xp @ Xx )
            & ! [Xz: ( $i > $o ) > $o] :
                ( ( Xp @ Xz )
               => ( Xp @ ( cSUCC @ Xz ) ) ) )
         => ( Xp @ Xy ) ) ) ) ).

thf(cSUCC_def,axiom,
    ( cSUCC
    = ( ^ [Xn: ( $i > $o ) > $o,Xp: $i > $o] :
        ? [Xx: $i] :
          ( ( Xn
            @ ^ [Xt: $i] :
                ( ( Xt != Xx )
                & ( Xp @ Xt ) ) )
          & ( Xp @ Xx ) ) ) ) ).

thf('0',plain,
    ( cSUCC
    = ( ^ [Xn: ( $i > $o ) > $o,Xp: $i > $o] :
        ? [Xx: $i] :
          ( ( Xn
            @ ^ [Xt: $i] :
                ( ( Xt != Xx )
                & ( Xp @ Xt ) ) )
          & ( Xp @ Xx ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[cSUCC_def]) ).

thf('1',plain,
    ( cSUCC
    = ( ^ [V_1: ( $i > $o ) > $o,V_2: $i > $o] :
        ? [X4: $i] :
          ( ( V_1
            @ ^ [V_3: $i] :
                ( ( V_3 != X4 )
                & ( V_2 @ V_3 ) ) )
          & ( V_2 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf('2',plain,
    ( c_less__eq_
    = ( ^ [Xx: ( $i > $o ) > $o,Xy: ( $i > $o ) > $o] :
        ! [Xp: ( ( $i > $o ) > $o ) > $o] :
          ( ( ( Xp @ Xx )
            & ! [Xz: ( $i > $o ) > $o] :
                ( ( Xp @ Xz )
               => ( Xp @ ( cSUCC @ Xz ) ) ) )
         => ( Xp @ Xy ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[c_less__eq__def,'1']) ).

thf('3',plain,
    ( c_less__eq_
    = ( ^ [V_1: ( $i > $o ) > $o,V_2: ( $i > $o ) > $o] :
        ! [X4: ( ( $i > $o ) > $o ) > $o] :
          ( ( ( X4 @ V_1 )
            & ! [X6: ( $i > $o ) > $o] :
                ( ( X4 @ X6 )
               => ( X4 @ ( cSUCC @ X6 ) ) ) )
         => ( X4 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(cBLEDSOE1,conjecture,
    ? [A: ( ( $i > $o ) > $o ) > $o] :
    ! [Xx: ( $i > $o ) > $o] :
      ( ( A @ Xx )
     => ( c_less__eq_ @ Xx @ c0 ) ) ).

thf(zf_stmt_0,conjecture,
    ? [X4: ( ( $i > $o ) > $o ) > $o] :
    ! [X6: ( $i > $o ) > $o] :
      ( ( X4 @ X6 )
     => ! [X8: ( ( $i > $o ) > $o ) > $o] :
          ( ( ( X8 @ X6 )
            & ! [X10: ( $i > $o ) > $o] :
                ( ( X8 @ X10 )
               => ( X8
                  @ ^ [V_1: $i > $o] :
                    ? [X12: $i] :
                      ( ( V_1 @ X12 )
                      & ( X10
                        @ ^ [V_2: $i] :
                            ( ( V_1 @ V_2 )
                            & ( V_2 != X12 ) ) ) ) ) ) )
         => ( X8 @ c0 ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ? [X4: ( ( $i > $o ) > $o ) > $o] :
      ! [X6: ( $i > $o ) > $o] :
        ( ( X4 @ X6 )
       => ! [X8: ( ( $i > $o ) > $o ) > $o] :
            ( ( ( X8 @ X6 )
              & ! [X10: ( $i > $o ) > $o] :
                  ( ( X8 @ X10 )
                 => ( X8
                    @ ^ [V_1: $i > $o] :
                      ? [X12: $i] :
                        ( ( V_1 @ X12 )
                        & ( X10
                          @ ^ [V_2: $i] :
                              ( ( V_1 @ V_2 )
                              & ( V_2 != X12 ) ) ) ) ) ) )
           => ( X8 @ c0 ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: ( ( $i > $o ) > $o ) > $o] : ( X0 @ ( sk__3 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    $false,
    inference(flex_resolve,[status(thm)],[zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEV290^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YgDxtWDIkk true
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug 24 01:39:10 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.22/0.65  % Total configuration time : 828
% 0.22/0.65  % Estimated wc time : 1656
% 0.22/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.98/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.98/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.98/0.78  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.98/0.78  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.41/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.41/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.41/0.79  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.43/0.81  % Solved by lams/40_c_ic.sh.
% 1.43/0.81  % done 0 iterations in 0.006s
% 1.43/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.43/0.81  % SZS output start Refutation
% See solution above
% 1.43/0.81  
% 1.43/0.81  
% 1.43/0.81  % Terminating...
% 1.51/0.86  % Runner terminated.
% 1.51/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------