TSTP Solution File: SYO309^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO309^5 : 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.MIXhHNi0LC true

% Computer : n012.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 : Fri Sep  1 05:50:40 EDT 2023

% Result   : Theorem 2.09s 1.08s
% Output   : Refutation 2.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   24 (   1 unt;   6 typ;   0 def)
%            Number of atoms       :   47 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  277 (  16   ~;  13   |;   0   &; 242   @)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   1 con; 0-2 aty)
%            Number of variables   :   68 (  40   ^;  22   !;   6   ?;  68   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cS_type,type,
    cS: $i > $i ).

thf(sk__2_type,type,
    sk__2: $i > $i ).

thf(cR_type,type,
    cR: $i > $i > $o ).

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

thf(cQ_type,type,
    cQ: $i > $i ).

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

thf(cEO1,conjecture,
    ( ! [Xx: $i] :
        ( ? [Xu: $i] : ( cR @ Xx @ ( cQ @ Xu ) )
      <=> ~ ? [Xv: $i] : ( cR @ ( cS @ Xx ) @ ( cQ @ Xv ) ) )
   => ? [A: $i > $o] :
      ! [Xx: $i] :
        ( ( A @ Xx )
      <=> ~ ( A @ ( cS @ Xx ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [Xx: $i] :
          ( ? [Xu: $i] : ( cR @ Xx @ ( cQ @ Xu ) )
        <=> ~ ? [Xv: $i] : ( cR @ ( cS @ Xx ) @ ( cQ @ Xv ) ) )
     => ? [A: $i > $o] :
        ! [Xx: $i] :
          ( ( A @ Xx )
        <=> ~ ( A @ ( cS @ Xx ) ) ) ),
    inference('cnf.neg',[status(esa)],[cEO1]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ( cR @ X0 @ ( cQ @ ( sk__1 @ X0 ) ) )
      | ( cR @ ( cS @ X0 ) @ ( cQ @ ( sk__2 @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i] :
      ( ( cR @ X0 @ ( cQ @ ( sk__1 @ X0 ) ) )
      | ( cR @ ( cS @ X0 ) @ ( cQ @ ( sk__2 @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ~ ( cR @ ( cS @ X1 ) @ ( cQ @ X2 ) )
      | ~ ( cR @ X1 @ ( cQ @ X3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i,X1: $i] :
      ( ( cR @ X0 @ ( cQ @ ( sk__1 @ X0 ) ) )
      | ~ ( cR @ X0 @ ( cQ @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl87,plain,
    ! [X0: $i] :
      ( ( cR @ X0 @ ( cQ @ ( sk__1 @ X0 ) ) )
      | ( cR @ ( cS @ X0 ) @ ( cQ @ ( sk__1 @ ( cS @ X0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl83]) ).

thf(zip_derived_cl3,plain,
    ! [X4: $i > $o] :
      ( ~ ( X4 @ ( cS @ ( sk_ @ X4 ) ) )
      | ( X4 @ ( sk_ @ X4 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl101,plain,
    ( ( cR
      @ ( sk_
        @ ^ [Y0: $i] :
            ( cR @ Y0
            @ ( ^ [Y1: $i] :
                  ( cQ
                  @ ( ^ [Y2: $i] :
                        ( sk__1
                        @ ( ^ [Y3: $i] : Y3
                          @ Y2 ) )
                    @ Y1 ) )
              @ Y0 ) ) )
      @ ( cQ
        @ ( sk__1
          @ ( sk_
            @ ^ [Y0: $i] :
                ( cR @ Y0
                @ ( ^ [Y1: $i] :
                      ( cQ
                      @ ( ^ [Y2: $i] :
                            ( sk__1
                            @ ( ^ [Y3: $i] : Y3
                              @ Y2 ) )
                        @ Y1 ) )
                  @ Y0 ) ) ) ) ) )
    | ( ^ [Y0: $i] :
          ( cR
          @ ( ^ [Y1: $i] : Y1
            @ Y0 )
          @ ( ^ [Y1: $i] :
                ( cQ
                @ ( ^ [Y2: $i] :
                      ( sk__1
                      @ ( ^ [Y3: $i] : Y3
                        @ Y2 ) )
                  @ Y1 ) )
            @ Y0 ) )
      @ ( sk_
        @ ^ [Y0: $i] :
            ( cR
            @ ( ^ [Y1: $i] : Y1
              @ Y0 )
            @ ( ^ [Y1: $i] :
                  ( cQ
                  @ ( ^ [Y2: $i] :
                        ( sk__1
                        @ ( ^ [Y3: $i] : Y3
                          @ Y2 ) )
                    @ Y1 ) )
              @ Y0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl3]) ).

thf(zip_derived_cl108,plain,
    ( ( cR
      @ ( sk_
        @ ^ [Y0: $i] : ( cR @ Y0 @ ( cQ @ ( sk__1 @ Y0 ) ) ) )
      @ ( cQ
        @ ( sk__1
          @ ( sk_
            @ ^ [Y0: $i] : ( cR @ Y0 @ ( cQ @ ( sk__1 @ Y0 ) ) ) ) ) ) )
    | ( cR
      @ ( sk_
        @ ^ [Y0: $i] : ( cR @ Y0 @ ( cQ @ ( sk__1 @ Y0 ) ) ) )
      @ ( cQ
        @ ( sk__1
          @ ( sk_
            @ ^ [Y0: $i] : ( cR @ Y0 @ ( cQ @ ( sk__1 @ Y0 ) ) ) ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl101]) ).

thf(zip_derived_cl109,plain,
    ( cR
    @ ( sk_
      @ ^ [Y0: $i] : ( cR @ Y0 @ ( cQ @ ( sk__1 @ Y0 ) ) ) )
    @ ( cQ
      @ ( sk__1
        @ ( sk_
          @ ^ [Y0: $i] : ( cR @ Y0 @ ( cQ @ ( sk__1 @ Y0 ) ) ) ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl108]) ).

thf(zip_derived_cl2,plain,
    ! [X4: $i > $o] :
      ( ( X4 @ ( cS @ ( sk_ @ X4 ) ) )
      | ~ ( X4 @ ( sk_ @ X4 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl83_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( cR @ X0 @ ( cQ @ ( sk__1 @ X0 ) ) )
      | ~ ( cR @ X0 @ ( cQ @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl93,plain,
    ! [X0: $i > $i] :
      ( ~ ( ^ [Y0: $i] :
              ( cR
              @ ( ^ [Y1: $i] : Y1
                @ Y0 )
              @ ( ^ [Y1: $i] :
                    ( cQ
                    @ ( ^ [Y2: $i] : ( X0 @ Y2 )
                      @ Y1 ) )
                @ Y0 ) )
          @ ( sk_
            @ ^ [Y0: $i] :
                ( cR
                @ ( ^ [Y1: $i] : Y1
                  @ Y0 )
                @ ( ^ [Y1: $i] :
                      ( cQ
                      @ ( ^ [Y2: $i] : ( X0 @ Y2 )
                        @ Y1 ) )
                  @ Y0 ) ) ) )
      | ( cR
        @ ( cS
          @ ( sk_
            @ ^ [Y0: $i] : ( cR @ Y0 @ ( cQ @ ( X0 @ Y0 ) ) ) ) )
        @ ( cQ
          @ ( sk__1
            @ ( cS
              @ ( sk_
                @ ^ [Y0: $i] : ( cR @ Y0 @ ( cQ @ ( X0 @ Y0 ) ) ) ) ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl83]) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i > $i] :
      ( ~ ( cR
          @ ( sk_
            @ ^ [Y0: $i] : ( cR @ Y0 @ ( cQ @ ( X0 @ Y0 ) ) ) )
          @ ( cQ
            @ ( X0
              @ ( sk_
                @ ^ [Y0: $i] : ( cR @ Y0 @ ( cQ @ ( X0 @ Y0 ) ) ) ) ) ) )
      | ( cR
        @ ( cS
          @ ( sk_
            @ ^ [Y0: $i] : ( cR @ Y0 @ ( cQ @ ( X0 @ Y0 ) ) ) ) )
        @ ( cQ
          @ ( sk__1
            @ ( cS
              @ ( sk_
                @ ^ [Y0: $i] : ( cR @ Y0 @ ( cQ @ ( X0 @ Y0 ) ) ) ) ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl93]) ).

thf(zip_derived_cl1_003,plain,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ~ ( cR @ ( cS @ X1 ) @ ( cQ @ X2 ) )
      | ~ ( cR @ X1 @ ( cQ @ X3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl289,plain,
    ! [X0: $i > $i] :
      ~ ( cR
        @ ( sk_
          @ ^ [Y0: $i] : ( cR @ Y0 @ ( cQ @ ( X0 @ Y0 ) ) ) )
        @ ( cQ
          @ ( X0
            @ ( sk_
              @ ^ [Y0: $i] : ( cR @ Y0 @ ( cQ @ ( X0 @ Y0 ) ) ) ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl96,zip_derived_cl1]) ).

thf(zip_derived_cl290,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl289]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYO309^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MIXhHNi0LC true
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 04:32:41 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.21/0.65  % Total configuration time : 828
% 0.21/0.65  % Estimated wc time : 1656
% 0.21/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.51/0.87  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.51/0.99  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 2.09/1.08  % Solved by lams/40_c.s.sh.
% 2.09/1.08  % done 40 iterations in 0.332s
% 2.09/1.08  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.09/1.08  % SZS output start Refutation
% See solution above
% 2.09/1.08  
% 2.09/1.08  
% 2.09/1.09  % Terminating...
% 2.35/1.15  % Runner terminated.
% 2.39/1.16  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------