TSTP Solution File: SEV384^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV384^5 : 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.VI1nKVU8BM true

% Computer : n018.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 20:00:36 EDT 2023

% Result   : Theorem 3.76s 1.15s
% Output   : Refutation 3.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   25 (   5 unt;   6 typ;   0 def)
%            Number of atoms       :   56 (   0 equ;  14 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  168 (  31   ~;  13   |;   6   &; 106   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   47 (  15   ^;  30   !;   2   ?;  47   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cP_type,type,
    cP: $i > $o ).

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

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

thf(s_type,type,
    s: $i > $o ).

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

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

thf(cTHM117B,conjecture,
    ( ( ! [Xx: $i > $o,Xz: $i] :
          ( ( Xx @ Xz )
         => ? [Xy: $i] :
              ( ! [Xw: $i] :
                  ( ( cR @ Xy @ Xw )
                 => ~ ( Xx @ Xw ) )
              & ( Xx @ Xy ) ) )
      & ! [Xx1: $i] :
          ( ! [Xy1: $i] :
              ( ( ( s @ Xy1 )
                & ( cR @ Xx1 @ Xy1 ) )
             => ( cP @ Xy1 ) )
         => ( cP @ Xx1 ) ) )
   => ! [Xx2: $i] :
        ( ( s @ Xx2 )
       => ( cP @ Xx2 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Xx: $i > $o,Xz: $i] :
            ( ( Xx @ Xz )
           => ? [Xy: $i] :
                ( ! [Xw: $i] :
                    ( ( cR @ Xy @ Xw )
                   => ~ ( Xx @ Xw ) )
                & ( Xx @ Xy ) ) )
        & ! [Xx1: $i] :
            ( ! [Xy1: $i] :
                ( ( ( s @ Xy1 )
                  & ( cR @ Xx1 @ Xy1 ) )
               => ( cP @ Xy1 ) )
           => ( cP @ Xx1 ) ) )
     => ! [Xx2: $i] :
          ( ( s @ Xx2 )
         => ( cP @ Xx2 ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM117B]) ).

thf(zip_derived_cl5,plain,
    ~ ( cP @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i > $o,X2: $i] :
      ( ( X0 @ ( sk__2 @ X0 ) )
      | ~ ( X0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X3: $i] :
      ( ( cP @ X3 )
      | ~ ( cP @ ( sk__1 @ X3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i > $o,X1: $i,X2: $i] :
      ( ~ ( cR @ ( sk__2 @ X0 ) @ X1 )
      | ~ ( X0 @ X1 )
      | ~ ( X0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i > $o] :
      ( ~ ( cR @ ( sk__2 @ X1 ) @ X0 )
      | ~ ( X1 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i > $o] :
      ( ~ ( cR
          @ ( sk__2
            @ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) )
          @ X0 )
      | ~ ( ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) )
          @ X0 ) ),
    inference('ho.refine',[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i > $o] :
      ( ~ ( cR
          @ ( sk__2
            @ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) )
          @ X0 )
      | ~ ( (~) @ ( X1 @ X0 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i > $o] :
      ( ~ ( cR
          @ ( sk__2
            @ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) )
          @ X0 )
      | ( X1 @ X0 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl3,plain,
    ! [X3: $i] :
      ( ( cP @ X3 )
      | ( cR @ X3 @ ( sk__1 @ X3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl217,plain,
    ! [X0: $i > $o] :
      ( ( X0
        @ ( sk__1
          @ ( sk__2
            @ ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) ) ) ) )
      | ( cP
        @ ( sk__2
          @ ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl3]) ).

thf(zip_derived_cl567,plain,
    ( ( cP
      @ ( sk__2
        @ ^ [Y0: $i] : ( (~) @ ( cP @ Y0 ) ) ) )
    | ( cP
      @ ( sk__2
        @ ^ [Y0: $i] :
            ( (~)
            @ ( ^ [Y1: $i] :
                  ( cP
                  @ ( ^ [Y2: $i] : Y2
                    @ Y1 ) )
              @ Y0 ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl217]) ).

thf(zip_derived_cl582,plain,
    ( ( cP
      @ ( sk__2
        @ ^ [Y0: $i] : ( (~) @ ( cP @ Y0 ) ) ) )
    | ( cP
      @ ( sk__2
        @ ^ [Y0: $i] : ( (~) @ ( cP @ Y0 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl567]) ).

thf(zip_derived_cl583,plain,
    ( cP
    @ ( sk__2
      @ ^ [Y0: $i] : ( (~) @ ( cP @ Y0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl582]) ).

thf(zip_derived_cl617,plain,
    ! [X2: $i] :
      ( ( cP @ X2 )
      | ~ ( cP
          @ ( sk__2
            @ ^ [Y0: $i] : ( (~) @ ( cP @ Y0 ) ) ) ) ),
    inference('inst_choice(((^[Y0 : $i]: (((~) @ (cP @ Y0))))))',[status(thm)],[zip_derived_cl1,zip_derived_cl583]) ).

thf(zip_derived_cl583_001,plain,
    ( cP
    @ ( sk__2
      @ ^ [Y0: $i] : ( (~) @ ( cP @ Y0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl582]) ).

thf(zip_derived_cl619,plain,
    ! [X2: $i] : ( cP @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl617,zip_derived_cl583]) ).

thf(zip_derived_cl623,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl619]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEV384^5 : 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.VI1nKVU8BM true
% 0.18/0.35  % Computer : n018.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Thu Aug 24 03:56:12 EDT 2023
% 0.18/0.35  % CPUTime  : 
% 0.18/0.35  % Running portfolio for 300 s
% 0.18/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.35  % Number of cores: 8
% 0.18/0.36  % Python version: Python 3.6.8
% 0.18/0.36  % 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
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 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_ic.sh running for 80s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 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
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 3.76/1.15  % Solved by lams/40_noforms.sh.
% 3.76/1.15  % done 161 iterations in 0.375s
% 3.76/1.15  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.76/1.15  % SZS output start Refutation
% See solution above
% 3.76/1.15  
% 3.76/1.15  
% 3.76/1.15  % Terminating...
% 4.93/1.27  % Runner terminated.
% 4.93/1.27  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------