TSTP Solution File: SYO260^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO260^5 : 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.PMffTbxjN3 true

% Computer : n005.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 05:50:29 EDT 2023

% Result   : Theorem 1.34s 0.75s
% Output   : Refutation 1.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   20 (   2 unt;   4 typ;   0 def)
%            Number of atoms       :   48 (   0 equ;  11 cnn)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  238 (  39   ~;  49   |;  18   &; 111   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (  11 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   33 (  33   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   4 usr;   7 con; 0-1 aty)
%                                         (  10  !!;  11  ??;   0 @@+;   0 @@-)
%            Number of variables   :   49 (  22   ^;  23   !;   4   ?;  49   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk2_type',type,
    '#sk2': $i ).

thf('#sk3_type',type,
    '#sk3': $i ).

thf('#sk1_type',type,
    '#sk1': $i ).

thf('#sk4_type',type,
    '#sk4': $i > $o ).

thf(cTHM125A,conjecture,
    ! [Xa: $i,Xb: $i,Xc: $i,P: $i > $o] :
    ? [Xm: $i > $o,Xn: $i > $o] :
      ( ( ( Xm @ Xa )
        | ( Xn @ Xa ) )
      & ( ( P @ Xb )
        | ( Xn @ Xb ) )
      & ( ( Xm @ Xc )
        | ~ ( P @ Xc ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xa: $i,Xb: $i,Xc: $i,P: $i > $o] :
      ? [Xm: $i > $o,Xn: $i > $o] :
        ( ( ( Xm @ Xa )
          | ( Xn @ Xa ) )
        & ( ( P @ Xb )
          | ( Xn @ Xb ) )
        & ( ( Xm @ Xc )
          | ~ ( P @ Xc ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM125A]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( !!
              @ ^ [Y2: $i] :
                  ( !!
                  @ ^ [Y3: $i > $o] :
                      ( ??
                      @ ^ [Y4: $i > $o] :
                          ( ??
                          @ ^ [Y5: $i > $o] :
                              ( ( ( Y4 @ Y0 )
                                | ( Y5 @ Y0 ) )
                              & ( ( Y3 @ Y1 )
                                | ( Y5 @ Y1 ) )
                              & ( ( Y4 @ Y2 )
                                | ( (~) @ ( Y3 @ Y2 ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( !!
              @ ^ [Y2: $i > $o] :
                  ( ??
                  @ ^ [Y3: $i > $o] :
                      ( ??
                      @ ^ [Y4: $i > $o] :
                          ( ( ( Y3 @ '#sk1' )
                            | ( Y4 @ '#sk1' ) )
                          & ( ( Y2 @ Y0 )
                            | ( Y4 @ Y0 ) )
                          & ( ( Y3 @ Y1 )
                            | ( (~) @ ( Y2 @ Y1 ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i > $o] :
              ( ??
              @ ^ [Y2: $i > $o] :
                  ( ??
                  @ ^ [Y3: $i > $o] :
                      ( ( ( Y2 @ '#sk1' )
                        | ( Y3 @ '#sk1' ) )
                      & ( ( Y1 @ '#sk2' )
                        | ( Y3 @ '#sk2' ) )
                      & ( ( Y2 @ Y0 )
                        | ( (~) @ ( Y1 @ Y0 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ~ ( !!
      @ ^ [Y0: $i > $o] :
          ( ??
          @ ^ [Y1: $i > $o] :
              ( ??
              @ ^ [Y2: $i > $o] :
                  ( ( ( Y1 @ '#sk1' )
                    | ( Y2 @ '#sk1' ) )
                  & ( ( Y0 @ '#sk2' )
                    | ( Y2 @ '#sk2' ) )
                  & ( ( Y1 @ '#sk3' )
                    | ( (~) @ ( Y0 @ '#sk3' ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ~ ( ??
      @ ^ [Y0: $i > $o] :
          ( ??
          @ ^ [Y1: $i > $o] :
              ( ( ( Y0 @ '#sk1' )
                | ( Y1 @ '#sk1' ) )
              & ( ( '#sk4' @ '#sk2' )
                | ( Y1 @ '#sk2' ) )
              & ( ( Y0 @ '#sk3' )
                | ( (~) @ ( '#sk4' @ '#sk3' ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i > $o] :
      ~ ( ??
        @ ^ [Y0: $i > $o] :
            ( ( ( X2 @ '#sk1' )
              | ( Y0 @ '#sk1' ) )
            & ( ( '#sk4' @ '#sk2' )
              | ( Y0 @ '#sk2' ) )
            & ( ( X2 @ '#sk3' )
              | ( (~) @ ( '#sk4' @ '#sk3' ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i > $o,X4: $i > $o] :
      ~ ( ( ( X2 @ '#sk1' )
          | ( X4 @ '#sk1' ) )
        & ( ( '#sk4' @ '#sk2' )
          | ( X4 @ '#sk2' ) )
        & ( ( X2 @ '#sk3' )
          | ( (~) @ ( '#sk4' @ '#sk3' ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i > $o,X4: $i > $o] :
      ( ~ ( ( X2 @ '#sk1' )
          | ( X4 @ '#sk1' ) )
      | ~ ( ( '#sk4' @ '#sk2' )
          | ( X4 @ '#sk2' ) )
      | ~ ( ( X2 @ '#sk3' )
          | ( (~) @ ( '#sk4' @ '#sk3' ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i > $o,X4: $i > $o] :
      ( ~ ( X2 @ '#sk1' )
      | ~ ( ( X2 @ '#sk3' )
          | ( (~) @ ( '#sk4' @ '#sk3' ) ) )
      | ~ ( ( '#sk4' @ '#sk2' )
          | ( X4 @ '#sk2' ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i > $o,X4: $o] :
      ( ~ ( X2 @ '#sk1' )
      | ~ ( ( X2 @ '#sk3' )
          | ( (~) @ ( '#sk4' @ '#sk3' ) ) )
      | ~ ( ( '#sk4' @ '#sk2' )
          | ( ^ [Y0: $i] : X4
            @ '#sk2' ) ) ),
    inference(prune_arg_fun,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl13,plain,
    ! [X2: $i > $o,X4: $o] :
      ( ~ ( X2 @ '#sk1' )
      | ~ ( ( X2 @ '#sk3' )
          | ( (~) @ ( '#sk4' @ '#sk3' ) ) )
      | ~ ( ( '#sk4' @ '#sk2' )
          | X4 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl14,plain,
    ! [X2: $i > $o,X4: $o] :
      ( ~ ( X2 @ '#sk3' )
      | ~ ( ( '#sk4' @ '#sk2' )
          | X4 )
      | ~ ( X2 @ '#sk1' ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl21,plain,
    ! [X2: $i > $o,X4: $o] :
      ( ~ X4
      | ~ ( X2 @ '#sk1' )
      | ~ ( X2 @ '#sk3' ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl34,plain,
    $false,
    inference(flex_resolve,[status(thm)],[zip_derived_cl21]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO260^5 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PMffTbxjN3 true
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 04:45:38 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % 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
% 0.21/0.72  % /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.s.sh running for 80s
% 1.11/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.34/0.74  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.34/0.75  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.34/0.75  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.34/0.75  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.34/0.75  % Solved by lams/35_full_unif4.sh.
% 1.34/0.75  % done 0 iterations in 0.012s
% 1.34/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.34/0.75  % SZS output start Refutation
% See solution above
% 1.34/0.75  
% 1.34/0.75  
% 1.34/0.75  % Terminating...
% 1.72/0.85  % Runner terminated.
% 1.72/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------