TSTP Solution File: ITP004^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP004^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zf7kdoESsb true

% Computer : n019.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 05:20:44 EDT 2023

% Result   : Theorem 0.16s 0.78s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   30 (   8 unt;  15 typ;   0 def)
%            Number of atoms       :   24 (   3 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  397 (   5   ~;   5   |;   1   &; 383   @)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (  12 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   4 con; 0-3 aty)
%            Number of variables   :   38 (   0   ^;  38   !;   0   ?;  38   :)

% Comments : 
%------------------------------------------------------------------------------
thf(du_type,type,
    du: $tType ).

thf(d_type,type,
    d: $tType ).

thf(u_type,type,
    u: $tType ).

thf(c_2Epred__set_2EDELETE_2E2_type,type,
    c_2Epred__set_2EDELETE_2E2: du > du > u ).

thf(tyop_2Emin_2Efun_type,type,
    tyop_2Emin_2Efun: d > d > d ).

thf(sk__2_type,type,
    sk__2: d ).

thf(sk__3_type,type,
    sk__3: u ).

thf(j_mono_2Etyop_2Emin_2Ebool_type,type,
    j_mono_2Etyop_2Emin_2Ebool: du > $o ).

thf(c_2Epred__set_2ECHOICE_2E1_type,type,
    c_2Epred__set_2ECHOICE_2E1: du > u ).

thf(c_2Epred__set_2ESUBSET_2E2_type,type,
    c_2Epred__set_2ESUBSET_2E2: du > du > u ).

thf(sk__1_type,type,
    sk__1: u > u > d > u ).

thf(c_2Epred__set_2EREST_2E1_type,type,
    c_2Epred__set_2EREST_2E1: du > u ).

thf(s_type,type,
    s: d > u > du ).

thf(tyop_2Emin_2Ebool_type,type,
    tyop_2Emin_2Ebool: d ).

thf(c_2Ebool_2EIN_2E2_type,type,
    c_2Ebool_2EIN_2E2: du > du > u ).

thf(thm_2Epred__set_2EREST__SUBSET,conjecture,
    ! [A_27a: d,V0s_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A_27a: d,V0s_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) ) ) ),
    inference('cnf.neg',[status(esa)],[thm_2Epred__set_2EREST__SUBSET]) ).

thf(zip_derived_cl12,plain,
    ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__2 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ sk__2 @ tyop_2Emin_2Ebool ) @ sk__3 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sk__2 @ tyop_2Emin_2Ebool ) @ sk__3 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(thm_2Epred__set_2EREST__DEF,axiom,
    ! [A_27a: d,V0s_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) @ ( s @ A_27a @ ( c_2Epred__set_2ECHOICE_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) ) ) ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: d,X1: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) @ ( s @ X0 @ ( c_2Epred__set_2ECHOICE_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[thm_2Epred__set_2EREST__DEF]) ).

thf(thm_2Epred__set_2ESUBSET__DEF,axiom,
    ! [A_27a: d,V0s_2E0: u,V1t_2E0: u] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1t_2E0 ) ) ) )
    <=> ! [V2x_2E0: u] :
          ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ A_27a @ V2x_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) ) ) )
         => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ A_27a @ V2x_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1t_2E0 ) ) ) ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: d,X1: u,X2: u] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) )
      | ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X0 @ ( sk__1 @ X2 @ X1 @ X0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) ) ),
    inference(cnf,[status(esa)],[thm_2Epred__set_2ESUBSET__DEF]) ).

thf(zip_derived_cl7,plain,
    ! [X0: d,X1: u,X2: u] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) )
      | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X0 @ ( sk__1 @ X2 @ X1 @ X0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) ) ),
    inference(cnf,[status(esa)],[thm_2Epred__set_2ESUBSET__DEF]) ).

thf(thm_2Epred__set_2EIN__DELETE,axiom,
    ! [A_27a: d,V0s_2E0: u,V1x_2E0: u,V2y_2E0: u] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) ) ) )
    <=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) ) ) )
        & ( ( s @ A_27a @ V1x_2E0 )
         != ( s @ A_27a @ V2y_2E0 ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: d,X1: u,X2: u,X3: u] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X0 @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) )
      | ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X0 @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ X0 @ X3 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[thm_2Epred__set_2EIN__DELETE]) ).

thf(zip_derived_cl313,plain,
    ! [X0: u,X1: d,X2: u,X3: u] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ X1 @ X0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) )
      | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ ( sk__1 @ X3 @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ X1 @ X0 ) ) @ X1 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl8]) ).

thf(zip_derived_cl379,plain,
    ! [X0: u,X1: d,X2: u] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X1 @ X2 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) )
      | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X1 @ X2 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl313]) ).

thf(zip_derived_cl404,plain,
    ! [X0: u,X1: d,X2: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X1 @ X2 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl379]) ).

thf(zip_derived_cl424,plain,
    ! [X0: u,X1: d] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl404]) ).

thf(zip_derived_cl451,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl424]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : ITP004^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zf7kdoESsb true
% 0.11/0.32  % Computer : n019.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Sun Aug 27 13:44:28 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  % Running portfolio for 300 s
% 0.11/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32  % Number of cores: 8
% 0.11/0.32  % Python version: Python 3.6.8
% 0.11/0.33  % Running in HO mode
% 0.16/0.59  % Total configuration time : 828
% 0.16/0.59  % Estimated wc time : 1656
% 0.16/0.59  % Estimated cpu time (8 cpus) : 207.0
% 0.16/0.62  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.16/0.62  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.16/0.62  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.16/0.63  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.16/0.63  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.16/0.63  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.16/0.66  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.16/0.66  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.16/0.70  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.16/0.78  % Solved by lams/40_c.s.sh.
% 0.16/0.78  % done 24 iterations in 0.122s
% 0.16/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.16/0.78  % SZS output start Refutation
% See solution above
% 0.16/0.78  
% 0.16/0.78  
% 0.16/0.78  % Terminating...
% 0.16/0.90  % Runner terminated.
% 2.29/0.92  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------