TSTP Solution File: SYO227^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO227^5 : 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.mB73kEJn3P true

% Computer : n001.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 05:50:22 EDT 2023

% Result   : Theorem 0.20s 0.80s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   27 (   6 unt;   4 typ;   0 def)
%            Number of atoms       :   56 (  16 equ;   8 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  161 (  30   ~;   8   |;  17   &;  85   @)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   4 usr;   7 con; 0-2 aty)
%                                         (   5  !!;   3  ??;   0 @@+;   0 @@-)
%            Number of variables   :   27 (  10   ^;  15   !;   2   ?;  27   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_type,type,
    c: $i ).

thf(a_type,type,
    a: $i ).

thf(c_less__type,type,
    c_less_: $i > $i > $o ).

thf(b_type,type,
    b: $i ).

thf(cBLEDSOE4_W_AX,conjecture,
    ( ! [Xx: $i,Xy: $i] :
        ( ( c_less_ @ Xx @ Xy )
       => ( Xx != Xy ) )
   => ( ( ( c_less_ @ b @ c )
        & ( c_less_ @ a @ b ) )
     => ? [A: $i > $o] :
          ( ~ ( A @ a )
          & ( A @ b )
          & ~ ( A @ c ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [Xx: $i,Xy: $i] :
          ( ( c_less_ @ Xx @ Xy )
         => ( Xx != Xy ) )
     => ( ( ( c_less_ @ b @ c )
          & ( c_less_ @ a @ b ) )
       => ? [A: $i > $o] :
            ( ~ ( A @ a )
            & ( A @ b )
            & ~ ( A @ c ) ) ) ),
    inference('cnf.neg',[status(esa)],[cBLEDSOE4_W_AX]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( c_less_ @ Y0 @ Y1 )
               => ( Y0 != Y1 ) ) ) )
     => ( ( ( c_less_ @ b @ c )
          & ( c_less_ @ a @ b ) )
       => ( ??
          @ ^ [Y0: $i > $o] :
              ( ( (~) @ ( Y0 @ a ) )
              & ( Y0 @ b )
              & ( (~) @ ( Y0 @ c ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( ( ( c_less_ @ b @ c )
        & ( c_less_ @ a @ b ) )
     => ( ??
        @ ^ [Y0: $i > $o] :
            ( ( (~) @ ( Y0 @ a ) )
            & ( Y0 @ b )
            & ( (~) @ ( Y0 @ c ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ( ( c_less_ @ b @ c )
    & ( c_less_ @ a @ b ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl7,plain,
    c_less_ @ b @ c,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl5,plain,
    ~ ( ??
      @ ^ [Y0: $i > $o] :
          ( ( (~) @ ( Y0 @ a ) )
          & ( Y0 @ b )
          & ( (~) @ ( Y0 @ c ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i > $o] :
      ~ ( ( (~) @ ( X2 @ a ) )
        & ( X2 @ b )
        & ( (~) @ ( X2 @ c ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i > $o] :
      ( ( X2 @ a )
      | ~ ( X2 @ b )
      | ( X2 @ c ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl16,plain,
    ( ( ^ [Y0: $i] : ( Y0 = b )
      @ c )
    | ( ^ [Y0: $i] : ( Y0 = b )
      @ a ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl17,plain,
    ( ( c = b )
    | ( a = b ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl18,plain,
    ( ( c = b )
    | ( a = b ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl8,plain,
    c_less_ @ a @ b,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl31,plain,
    ( ( c_less_ @ b @ b )
    | ( c = b ) ),
    inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl8]) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( c_less_ @ Y0 @ Y1 )
           => ( Y0 != Y1 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( c_less_ @ X2 @ Y0 )
         => ( X2 != Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i,X4: $i] :
      ( ( c_less_ @ X2 @ X4 )
     => ( X2 != X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( c_less_ @ X2 @ X4 )
      | ( X2 != X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( c_less_ @ X2 @ X4 )
      | ( X2 != X4 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl13,plain,
    ! [X4: $i] :
      ~ ( c_less_ @ X4 @ X4 ),
    inference(simplify,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl36,plain,
    c = b,
    inference(clc,[status(thm)],[zip_derived_cl31,zip_derived_cl13]) ).

thf(zip_derived_cl13_001,plain,
    ! [X4: $i] :
      ~ ( c_less_ @ X4 @ X4 ),
    inference(simplify,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl37,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl36,zip_derived_cl13]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO227^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mB73kEJn3P true
% 0.13/0.35  % Computer : n001.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 01:18:29 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
% 0.20/0.66  % Total configuration time : 828
% 0.20/0.66  % Estimated wc time : 1656
% 0.20/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.80  % Solved by lams/20_acsne_simpl.sh.
% 0.20/0.80  % done 9 iterations in 0.011s
% 0.20/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.80  % SZS output start Refutation
% See solution above
% 0.20/0.80  
% 0.20/0.80  
% 0.20/0.80  % Terminating...
% 1.22/0.85  % Runner terminated.
% 1.22/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------