↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU692^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bVmAMT7rht true

% Computer : n021.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 Oct  2 04:55:48 PM UTC 2025

% Result   : Theorem 0.60s 0.80s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   28 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :   92 (  33 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  379 (  18   ~;  18   |;   0   &; 305   @)
%                                         (   0 <=>;  38  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   7 con; 0-4 aty)
%            Number of variables   :   64 (   0   ^;  64   !;   0   ?;  64   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__10_type,type,
    sk__10: $i ).

thf(infuncsetfunc_type,type,
    infuncsetfunc: $o ).

thf(sk__11_type,type,
    sk__11: $i ).

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

thf(funcext_type,type,
    funcext: $o ).

thf(sk__12_type,type,
    sk__12: $i ).

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

thf(sk__9_type,type,
    sk__9: $i ).

thf(ap_type,type,
    ap: $i > $i > $i > $i > $i ).

thf(func_type,type,
    func: $i > $i > $i > $o ).

thf(sk__8_type,type,
    sk__8: $i > $i > $i > $i > $i ).

thf(funcext,axiom,
    ( funcext
    = ( ! [A: $i,B: $i,Xf: $i] :
          ( ( func @ A @ B @ Xf )
         => ! [Xg: $i] :
              ( ( func @ A @ B @ Xg )
             => ( ! [Xx: $i] :
                    ( ( in @ Xx @ A )
                   => ( ( ap @ A @ B @ Xf @ Xx )
                      = ( ap @ A @ B @ Xg @ Xx ) ) )
               => ( Xf = Xg ) ) ) ) ) ) ).

thf('0',plain,
    ( funcext
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( func @ X4 @ X6 @ X8 )
         => ! [X10: $i] :
              ( ( func @ X4 @ X6 @ X10 )
             => ( ! [X12: $i] :
                    ( ( in @ X12 @ X4 )
                   => ( ( ap @ X4 @ X6 @ X8 @ X12 )
                      = ( ap @ X4 @ X6 @ X10 @ X12 ) ) )
               => ( X8 = X10 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(infuncsetfunc,axiom,
    ( infuncsetfunc
    = ( ! [A: $i,B: $i,Xf: $i] :
          ( ( in @ Xf @ ( funcSet @ A @ B ) )
         => ( func @ A @ B @ Xf ) ) ) ) ).

thf('1',plain,
    ( infuncsetfunc
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ ( funcSet @ X4 @ X6 ) )
         => ( func @ X4 @ X6 @ X8 ) ) ) ),
    define([status(thm)]) ).

thf(funcext2,conjecture,
    ( infuncsetfunc
   => ( funcext
     => ! [A: $i,B: $i,Xf: $i] :
          ( ( in @ Xf @ ( funcSet @ A @ B ) )
         => ! [Xg: $i] :
              ( ( in @ Xg @ ( funcSet @ A @ B ) )
             => ( ! [Xx: $i] :
                    ( ( in @ Xx @ A )
                   => ( ( ap @ A @ B @ Xf @ Xx )
                      = ( ap @ A @ B @ Xg @ Xx ) ) )
               => ( Xf = Xg ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i,X8: $i] :
        ( ( in @ X8 @ ( funcSet @ X4 @ X6 ) )
       => ( func @ X4 @ X6 @ X8 ) )
   => ( ! [X10: $i,X12: $i,X14: $i] :
          ( ( func @ X10 @ X12 @ X14 )
         => ! [X16: $i] :
              ( ( func @ X10 @ X12 @ X16 )
             => ( ! [X18: $i] :
                    ( ( in @ X18 @ X10 )
                   => ( ( ap @ X10 @ X12 @ X14 @ X18 )
                      = ( ap @ X10 @ X12 @ X16 @ X18 ) ) )
               => ( X14 = X16 ) ) ) )
     => ! [X20: $i,X22: $i,X24: $i] :
          ( ( in @ X24 @ ( funcSet @ X20 @ X22 ) )
         => ! [X26: $i] :
              ( ( in @ X26 @ ( funcSet @ X20 @ X22 ) )
             => ( ! [X28: $i] :
                    ( ( in @ X28 @ X20 )
                   => ( ( ap @ X20 @ X22 @ X24 @ X28 )
                      = ( ap @ X20 @ X22 @ X26 @ X28 ) ) )
               => ( X24 = X26 ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ ( funcSet @ X4 @ X6 ) )
         => ( func @ X4 @ X6 @ X8 ) )
     => ( ! [X10: $i,X12: $i,X14: $i] :
            ( ( func @ X10 @ X12 @ X14 )
           => ! [X16: $i] :
                ( ( func @ X10 @ X12 @ X16 )
               => ( ! [X18: $i] :
                      ( ( in @ X18 @ X10 )
                     => ( ( ap @ X10 @ X12 @ X14 @ X18 )
                        = ( ap @ X10 @ X12 @ X16 @ X18 ) ) )
                 => ( X14 = X16 ) ) ) )
       => ! [X20: $i,X22: $i,X24: $i] :
            ( ( in @ X24 @ ( funcSet @ X20 @ X22 ) )
           => ! [X26: $i] :
                ( ( in @ X26 @ ( funcSet @ X20 @ X22 ) )
               => ( ! [X28: $i] :
                      ( ( in @ X28 @ X20 )
                     => ( ( ap @ X20 @ X22 @ X24 @ X28 )
                        = ( ap @ X20 @ X22 @ X26 @ X28 ) ) )
                 => ( X24 = X26 ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X3: $i] :
      ( ( ( ap @ sk__9 @ sk__10 @ sk__11 @ X3 )
        = ( ap @ sk__9 @ sk__10 @ sk__12 @ X3 ) )
      | ~ ( in @ X3 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( func @ X0 @ X1 @ X2 )
      | ~ ( in @ X2 @ ( funcSet @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    in @ sk__11 @ ( funcSet @ sk__9 @ sk__10 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8,plain,
    func @ sk__9 @ sk__10 @ sk__11,
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).

thf(zip_derived_cl5,plain,
    ! [X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( func @ X4 @ X5 @ X6 )
      | ( X7 = X6 )
      | ( ( ap @ X4 @ X5 @ X7 @ ( sk__8 @ X6 @ X7 @ X5 @ X4 ) )
       != ( ap @ X4 @ X5 @ X6 @ ( sk__8 @ X6 @ X7 @ X5 @ X4 ) ) )
      | ~ ( func @ X4 @ X5 @ X7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] :
      ( ~ ( func @ sk__9 @ sk__10 @ X0 )
      | ( ( ap @ sk__9 @ sk__10 @ X0 @ ( sk__8 @ sk__11 @ X0 @ sk__10 @ sk__9 ) )
       != ( ap @ sk__9 @ sk__10 @ sk__11 @ ( sk__8 @ sk__11 @ X0 @ sk__10 @ sk__9 ) ) )
      | ( X0 = sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl5]) ).

thf(zip_derived_cl44,plain,
    ( ( ( ap @ sk__9 @ sk__10 @ sk__11 @ ( sk__8 @ sk__11 @ sk__12 @ sk__10 @ sk__9 ) )
     != ( ap @ sk__9 @ sk__10 @ sk__11 @ ( sk__8 @ sk__11 @ sk__12 @ sk__10 @ sk__9 ) ) )
    | ~ ( in @ ( sk__8 @ sk__11 @ sk__12 @ sk__10 @ sk__9 ) @ sk__9 )
    | ( sk__12 = sk__11 )
    | ~ ( func @ sk__9 @ sk__10 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl16]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( func @ X0 @ X1 @ X2 )
      | ~ ( in @ X2 @ ( funcSet @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    in @ sk__12 @ ( funcSet @ sk__9 @ sk__10 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7,plain,
    func @ sk__9 @ sk__10 @ sk__12,
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl8_002,plain,
    func @ sk__9 @ sk__10 @ sk__11,
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
    ! [X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( func @ X4 @ X5 @ X6 )
      | ( X7 = X6 )
      | ( in @ ( sk__8 @ X6 @ X7 @ X5 @ X4 ) @ X4 )
      | ~ ( func @ X4 @ X5 @ X7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ~ ( func @ sk__9 @ sk__10 @ X0 )
      | ( in @ ( sk__8 @ sk__11 @ X0 @ sk__10 @ sk__9 ) @ sk__9 )
      | ( X0 = sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl6]) ).

thf(zip_derived_cl29,plain,
    ( ( sk__12 = sk__11 )
    | ( in @ ( sk__8 @ sk__11 @ sk__12 @ sk__10 @ sk__9 ) @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl20]) ).

thf(zip_derived_cl2,plain,
    sk__11 != sk__12,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl33,plain,
    in @ ( sk__8 @ sk__11 @ sk__12 @ sk__10 @ sk__9 ) @ sk__9,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl29,zip_derived_cl2]) ).

thf(zip_derived_cl7_003,plain,
    func @ sk__9 @ sk__10 @ sk__12,
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl48,plain,
    ( ( ( ap @ sk__9 @ sk__10 @ sk__11 @ ( sk__8 @ sk__11 @ sk__12 @ sk__10 @ sk__9 ) )
     != ( ap @ sk__9 @ sk__10 @ sk__11 @ ( sk__8 @ sk__11 @ sk__12 @ sk__10 @ sk__9 ) ) )
    | ( sk__12 = sk__11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl33,zip_derived_cl7]) ).

thf(zip_derived_cl49,plain,
    sk__12 = sk__11,
    inference(simplify,[status(thm)],[zip_derived_cl48]) ).

thf(zip_derived_cl2_004,plain,
    sk__11 != sk__12,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl50,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl49,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SEU692^2 : TPTP v9.2.0. Released v3.7.0.
% 0.04/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bVmAMT7rht true
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 16:07:53 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.21/0.36  % Python version: Python 3.6.8
% 0.21/0.36  % Running in HO mode
% 0.60/0.68  % Total configuration time : 828
% 0.60/0.68  % Estimated wc time : 1656
% 0.60/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.60/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.60/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.60/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.60/0.78  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.60/0.78  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.60/0.78  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.60/0.79  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.60/0.80  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.60/0.80  % Solved by lams/40_c.s.sh.
% 0.60/0.80  % done 24 iterations in 0.033s
% 0.60/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.60/0.80  % SZS output start Refutation
% See solution above
% 0.60/0.81  
% 0.60/0.81  
% 0.60/0.81  % Terminating...
% 1.86/0.89  % Runner terminated.
% 1.86/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------