TSTP Solution File: SEU799^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU799^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gn0F7xRW3b 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 : Thu Aug 31 19:17:51 EDT 2023

% Result   : Theorem 0.22s 0.77s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   24 (   8 unt;   9 typ;   0 def)
%            Number of atoms       :   38 (   5 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  137 (   4   ~;   2   |;   0   &; 121   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   44 (  17   ^;  27   !;   0   ?;  44   :)

% Comments : 
%------------------------------------------------------------------------------
thf(in_type,type,
    in: $i > $i > $o ).

thf(injective_type,type,
    injective: $i > $i > $i > $o ).

thf(dsetconstrEL_type,type,
    dsetconstrEL: $o ).

thf(injFuncSet_type,type,
    injFuncSet: $i > $i > $i ).

thf(funcSet_type,type,
    funcSet: $i > $i > $i ).

thf(sk__4_type,type,
    sk__4: $i ).

thf(dsetconstr_type,type,
    dsetconstr: $i > ( $i > $o ) > $i ).

thf(sk__5_type,type,
    sk__5: $i ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(injFuncSet,axiom,
    ( injFuncSet
    = ( ^ [A: $i,B: $i] :
          ( dsetconstr @ ( funcSet @ A @ B )
          @ ^ [Xf: $i] : ( injective @ A @ B @ Xf ) ) ) ) ).

thf('0',plain,
    ( injFuncSet
    = ( ^ [A: $i,B: $i] :
          ( dsetconstr @ ( funcSet @ A @ B )
          @ ^ [Xf: $i] : ( injective @ A @ B @ Xf ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[injFuncSet]) ).

thf('1',plain,
    ( injFuncSet
    = ( ^ [V_1: $i,V_2: $i] :
          ( dsetconstr @ ( funcSet @ V_1 @ V_2 )
          @ ^ [V_3: $i] : ( injective @ V_1 @ V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf(dsetconstrEL,axiom,
    ( dsetconstrEL
    = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
          ( ( in @ Xx
            @ ( dsetconstr @ A
              @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
         => ( in @ Xx @ A ) ) ) ) ).

thf('2',plain,
    ( dsetconstrEL
    = ( ! [X4: $i,X6: $i > $o,X8: $i] :
          ( ( in @ X8
            @ ( dsetconstr @ X4
              @ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
         => ( in @ X8 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(injFuncSetFuncIn,conjecture,
    ( dsetconstrEL
   => ! [A: $i,B: $i,Xf: $i] :
        ( ( in @ Xf @ ( injFuncSet @ A @ B ) )
       => ( in @ Xf @ ( funcSet @ A @ B ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i > $o,X8: $i] :
        ( ( in @ X8
          @ ( dsetconstr @ X4
            @ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
       => ( in @ X8 @ X4 ) )
   => ! [X10: $i,X12: $i,X14: $i] :
        ( ( in @ X14
          @ ( dsetconstr @ ( funcSet @ X10 @ X12 )
            @ ^ [V_2: $i] : ( injective @ X10 @ X12 @ V_2 ) ) )
       => ( in @ X14 @ ( funcSet @ X10 @ X12 ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
          ( ( in @ X8
            @ ( dsetconstr @ X4
              @ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
         => ( in @ X8 @ X4 ) )
     => ! [X10: $i,X12: $i,X14: $i] :
          ( ( in @ X14
            @ ( dsetconstr @ ( funcSet @ X10 @ X12 )
              @ ^ [V_2: $i] : ( injective @ X10 @ X12 @ V_2 ) ) )
         => ( in @ X14 @ ( funcSet @ X10 @ X12 ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( in @ sk__5 @ ( funcSet @ sk__3 @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ( in @ sk__5
    @ ( dsetconstr @ ( funcSet @ sk__3 @ sk__4 )
      @ ^ [Y0: $i] : ( injective @ sk__3 @ sk__4 @ Y0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    in @ sk__5 @ ( dsetconstr @ ( funcSet @ sk__3 @ sk__4 ) @ ( injective @ sk__3 @ sk__4 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i > $o] :
      ( ( in @ X0 @ X1 )
      | ~ ( in @ X0
          @ ( dsetconstr @ X1
            @ ^ [Y0: $i] : ( X2 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i > $o] :
      ( ( in @ X0 @ X1 )
      | ~ ( in @ X0 @ ( dsetconstr @ X1 @ X2 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
    in @ sk__5 @ ( funcSet @ sk__3 @ sk__4 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl4]) ).

thf(zip_derived_cl7,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU799^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gn0F7xRW3b true
% 0.15/0.36  % Computer : n001.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed Aug 23 20:11:09 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.37  % Running in HO mode
% 0.22/0.66  % Total configuration time : 828
% 0.22/0.66  % Estimated wc time : 1656
% 0.22/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.77  % Solved by lams/40_c.s.sh.
% 0.22/0.77  % done 3 iterations in 0.008s
% 0.22/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.77  % SZS output start Refutation
% See solution above
% 0.22/0.77  
% 0.22/0.77  
% 0.22/0.77  % Terminating...
% 0.55/0.87  % Runner terminated.
% 1.55/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------