TSTP Solution File: SEU974^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU974^5 : 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.vDM5Zdg7SD true

% Computer : n020.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 19:19:01 EDT 2023

% Result   : Theorem 24.96s 3.79s
% Output   : Refutation 24.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of formulae    :    9 (   1 unt;   5 typ;   0 def)
%            Number of atoms       :   58 (  39 equ;   0 cnn)
%            Maximal formula atoms :   31 (  14 avg)
%            Number of connectives :  299 (   5   ~;   0   |;  39   &; 204   @)
%                                         (   6 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (  14 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   4 usr;   4 con; 0-2 aty)
%                                         (  16  !!;   2  ??;   0 @@+;   0 @@-)
%            Number of variables   :   54 (  18   ^;  32   !;   4   ?;  54   :)

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

thf(cZ_type,type,
    cZ: a ).

thf(cP_type,type,
    cP: a > a > a ).

thf(cL_type,type,
    cL: a > a ).

thf(cR_type,type,
    cR: a > a ).

thf(cPU_LEM2C_pme,conjecture,
    ( ( ! [X: a > $o] :
          ( ! [Xt: a,Xu: a] :
              ( ( X @ ( cP @ Xt @ Xu ) )
             => ( ( X @ ( cP @ ( cR @ Xt ) @ ( cR @ Xu ) ) )
                & ( X @ ( cP @ ( cL @ Xt ) @ ( cL @ Xu ) ) )
                & ( ( Xt = cZ )
                <=> ( Xu = cZ ) ) ) )
         => ! [Xt: a,Xu: a] :
              ( ( X @ ( cP @ Xt @ Xu ) )
             => ( Xt = Xu ) ) )
      & ! [Xt: a] :
          ( ( Xt != cZ )
        <=> ( Xt
            = ( cP @ ( cL @ Xt ) @ ( cR @ Xt ) ) ) )
      & ! [Xx: a,Xy: a] :
          ( ( cR @ ( cP @ Xx @ Xy ) )
          = Xy )
      & ! [Xx: a,Xy: a] :
          ( ( cL @ ( cP @ Xx @ Xy ) )
          = Xx )
      & ( ( cR @ cZ )
        = cZ )
      & ( ( cL @ cZ )
        = cZ ) )
   => ! [Xx: a,Xy: a] :
        ( ? [X: a > $o] :
            ( ( X @ ( cP @ Xx @ Xy ) )
            & ! [Xt: a,Xu: a] :
                ( ( X @ ( cP @ Xt @ Xu ) )
               => ( ( X @ ( cP @ ( cR @ Xt ) @ ( cR @ Xu ) ) )
                  & ( X @ ( cP @ ( cL @ Xt ) @ ( cL @ Xu ) ) )
                  & ( ( Xu = cZ )
                   => ( Xt = cZ ) ) ) ) )
       => ? [X: a > $o] :
            ( ( X @ ( cP @ ( cR @ Xx ) @ ( cR @ Xy ) ) )
            & ! [Xt: a,Xu: a] :
                ( ( X @ ( cP @ Xt @ Xu ) )
               => ( ( X @ ( cP @ ( cR @ Xt ) @ ( cR @ Xu ) ) )
                  & ( X @ ( cP @ ( cL @ Xt ) @ ( cL @ Xu ) ) )
                  & ( ( Xu = cZ )
                   => ( Xt = cZ ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [X: a > $o] :
            ( ! [Xt: a,Xu: a] :
                ( ( X @ ( cP @ Xt @ Xu ) )
               => ( ( X @ ( cP @ ( cR @ Xt ) @ ( cR @ Xu ) ) )
                  & ( X @ ( cP @ ( cL @ Xt ) @ ( cL @ Xu ) ) )
                  & ( ( Xt = cZ )
                  <=> ( Xu = cZ ) ) ) )
           => ! [Xt: a,Xu: a] :
                ( ( X @ ( cP @ Xt @ Xu ) )
               => ( Xt = Xu ) ) )
        & ! [Xt: a] :
            ( ( Xt != cZ )
          <=> ( Xt
              = ( cP @ ( cL @ Xt ) @ ( cR @ Xt ) ) ) )
        & ! [Xx: a,Xy: a] :
            ( ( cR @ ( cP @ Xx @ Xy ) )
            = Xy )
        & ! [Xx: a,Xy: a] :
            ( ( cL @ ( cP @ Xx @ Xy ) )
            = Xx )
        & ( ( cR @ cZ )
          = cZ )
        & ( ( cL @ cZ )
          = cZ ) )
     => ! [Xx: a,Xy: a] :
          ( ? [X: a > $o] :
              ( ( X @ ( cP @ Xx @ Xy ) )
              & ! [Xt: a,Xu: a] :
                  ( ( X @ ( cP @ Xt @ Xu ) )
                 => ( ( X @ ( cP @ ( cR @ Xt ) @ ( cR @ Xu ) ) )
                    & ( X @ ( cP @ ( cL @ Xt ) @ ( cL @ Xu ) ) )
                    & ( ( Xu = cZ )
                     => ( Xt = cZ ) ) ) ) )
         => ? [X: a > $o] :
              ( ( X @ ( cP @ ( cR @ Xx ) @ ( cR @ Xy ) ) )
              & ! [Xt: a,Xu: a] :
                  ( ( X @ ( cP @ Xt @ Xu ) )
                 => ( ( X @ ( cP @ ( cR @ Xt ) @ ( cR @ Xu ) ) )
                    & ( X @ ( cP @ ( cL @ Xt ) @ ( cL @ Xu ) ) )
                    & ( ( Xu = cZ )
                     => ( Xt = cZ ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cPU_LEM2C_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( ( !!
          @ ^ [Y0: a > $o] :
              ( ( !!
                @ ^ [Y1: a] :
                    ( !!
                    @ ^ [Y2: a] :
                        ( ( Y0 @ ( cP @ Y1 @ Y2 ) )
                       => ( ( Y0 @ ( cP @ ( cR @ Y1 ) @ ( cR @ Y2 ) ) )
                          & ( Y0 @ ( cP @ ( cL @ Y1 ) @ ( cL @ Y2 ) ) )
                          & ( ( Y1 = cZ )
                          <=> ( Y2 = cZ ) ) ) ) ) )
             => ( !!
                @ ^ [Y1: a] :
                    ( !!
                    @ ^ [Y2: a] :
                        ( ( Y0 @ ( cP @ Y1 @ Y2 ) )
                       => ( Y1 = Y2 ) ) ) ) ) )
        & ( !!
          @ ^ [Y0: a] :
              ( ( Y0 != cZ )
            <=> ( Y0
                = ( cP @ ( cL @ Y0 ) @ ( cR @ Y0 ) ) ) ) )
        & ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( ( cR @ ( cP @ Y0 @ Y1 ) )
                  = Y1 ) ) )
        & ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( ( cL @ ( cP @ Y0 @ Y1 ) )
                  = Y0 ) ) )
        & ( ( cR @ cZ )
          = cZ )
        & ( ( cL @ cZ )
          = cZ ) )
     => ( !!
        @ ^ [Y0: a] :
            ( !!
            @ ^ [Y1: a] :
                ( ( ??
                  @ ^ [Y2: a > $o] :
                      ( ( Y2 @ ( cP @ Y0 @ Y1 ) )
                      & ( !!
                        @ ^ [Y3: a] :
                            ( !!
                            @ ^ [Y4: a] :
                                ( ( Y2 @ ( cP @ Y3 @ Y4 ) )
                               => ( ( Y2 @ ( cP @ ( cR @ Y3 ) @ ( cR @ Y4 ) ) )
                                  & ( Y2 @ ( cP @ ( cL @ Y3 ) @ ( cL @ Y4 ) ) )
                                  & ( ( Y4 = cZ )
                                   => ( Y3 = cZ ) ) ) ) ) ) ) )
               => ( ??
                  @ ^ [Y2: a > $o] :
                      ( ( Y2 @ ( cP @ ( cR @ Y0 ) @ ( cR @ Y1 ) ) )
                      & ( !!
                        @ ^ [Y3: a] :
                            ( !!
                            @ ^ [Y4: a] :
                                ( ( Y2 @ ( cP @ Y3 @ Y4 ) )
                               => ( ( Y2 @ ( cP @ ( cR @ Y3 ) @ ( cR @ Y4 ) ) )
                                  & ( Y2 @ ( cP @ ( cL @ Y3 ) @ ( cL @ Y4 ) ) )
                                  & ( ( Y4 = cZ )
                                   => ( Y3 = cZ ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4004,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU974^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vDM5Zdg7SD true
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Aug 23 14:02:30 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.21/0.64  % Total configuration time : 828
% 0.21/0.64  % Estimated wc time : 1656
% 0.21/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.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_c_ic.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.89/0.75  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.89/0.75  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.89/0.77  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 24.96/3.79  % Solved by lams/15_e_short1.sh.
% 24.96/3.79  % done 99 iterations in 3.036s
% 24.96/3.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 24.96/3.79  % SZS output start Refutation
% See solution above
% 24.96/3.79  
% 24.96/3.79  
% 24.96/3.79  % Terminating...
% 25.14/3.87  % Runner terminated.
% 25.14/3.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------