TSTP Solution File: ITP006^4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP006^4 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zrPnrUMo9c true

% Computer : n011.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 05:20:51 EDT 2023

% Result   : Theorem 13.09s 2.29s
% Output   : Refutation 13.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   27 (   4 unt;  15 typ;   0 def)
%            Number of atoms       :   24 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  339 (   8   ~;   5   |;   0   &; 319   @)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (  13 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  12 usr;   7 con; 0-4 aty)
%            Number of variables   :   31 (   0   ^;  31   !;   0   ?;  31   :)

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

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

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

thf(sk__9_type,type,
    sk__9: u ).

thf(sk__7_type,type,
    sk__7: d ).

thf(sk__8_type,type,
    sk__8: u ).

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

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

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

thf(sk__6_type,type,
    sk__6: d ).

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

thf(tyop_2Emin_2Ebool_type,type,
    tyop_2Emin_2Ebool: d ).

thf(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2_type,type,
    c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2: du > du > u ).

thf(sk__10_type,type,
    sk__10: u ).

thf(app_2E2_type,type,
    app_2E2: du > du > u ).

thf(thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT,conjecture,
    ! [A_27a: d,A_27b: d,V0i_2E0: u,V1P_2E0: u,V2Q_2E0: u] :
      ( ! [V3x_2E0: u] :
          ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V2Q_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) )
         => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) ) )
     => ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ V0i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) ) ) )
       => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ V0i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V2Q_2E0 ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A_27a: d,A_27b: d,V0i_2E0: u,V1P_2E0: u,V2Q_2E0: u] :
        ( ! [V3x_2E0: u] :
            ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V2Q_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) )
           => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) ) )
       => ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ V0i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) ) ) )
         => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ V0i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V2Q_2E0 ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT]) ).

thf(zip_derived_cl13,plain,
    ! [X0: u] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__6 @ tyop_2Emin_2Ebool ) @ sk__9 ) @ ( s @ sk__6 @ X0 ) ) ) )
      | ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__6 @ tyop_2Emin_2Ebool ) @ sk__10 ) @ ( s @ sk__6 @ X0 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(thm_2EquantHeuristics_2EGUESS__FORALL__POINT__def,axiom,
    ! [A_27a: d,A_27b: d,V0i_2E0: u,V1P_2E0: u] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) ) ) )
    <=> ! [V2fv_2E0: u] :
          ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0i_2E0 ) @ ( s @ A_27a @ V2fv_2E0 ) ) ) ) ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: d,X1: d,X2: u,X3: u] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) )
      | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X2 ) @ ( s @ X0 @ ( sk__1 @ X3 @ X2 @ X1 @ X0 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[thm_2EquantHeuristics_2EGUESS__FORALL__POINT__def]) ).

thf(zip_derived_cl179,plain,
    ! [X0: d,X1: u] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__6 @ tyop_2Emin_2Ebool ) @ sk__9 ) @ ( s @ sk__6 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ sk__6 ) @ X1 ) @ ( s @ X0 @ ( sk__1 @ sk__10 @ X1 @ sk__6 @ X0 ) ) ) ) ) ) )
      | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ sk__6 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__6 @ tyop_2Emin_2Ebool ) @ sk__10 ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl9]) ).

thf(zip_derived_cl8,plain,
    ! [X0: d,X1: u,X2: d,X3: u,X4: u] :
      ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) @ ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X3 ) @ ( s @ X2 @ X4 ) ) ) ) ) )
      | ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) ) ),
    inference(cnf,[status(esa)],[thm_2EquantHeuristics_2EGUESS__FORALL__POINT__def]) ).

thf(zip_derived_cl191,plain,
    ! [X0: d,X1: u] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ sk__6 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__6 @ tyop_2Emin_2Ebool ) @ sk__10 ) ) ) )
      | ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ sk__6 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__6 @ tyop_2Emin_2Ebool ) @ sk__9 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl179,zip_derived_cl8]) ).

thf(zip_derived_cl12,plain,
    ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__7 @ sk__6 ) @ sk__8 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__6 @ tyop_2Emin_2Ebool ) @ sk__10 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl466,plain,
    ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__7 @ sk__6 ) @ sk__8 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__6 @ tyop_2Emin_2Ebool ) @ sk__9 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl191,zip_derived_cl12]) ).

thf(zip_derived_cl14,plain,
    j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__7 @ sk__6 ) @ sk__8 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__6 @ tyop_2Emin_2Ebool ) @ sk__9 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl479,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl466,zip_derived_cl14]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : ITP006^4 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.10/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zrPnrUMo9c true
% 0.12/0.34  % Computer : n011.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sun Aug 27 16:22:55 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.34  % Number of cores: 8
% 0.19/0.34  % Python version: Python 3.6.8
% 0.19/0.35  % Running in HO mode
% 0.19/0.64  % Total configuration time : 828
% 0.19/0.64  % Estimated wc time : 1656
% 0.19/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.19/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.19/0.72  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.19/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.19/0.75  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.19/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.19/0.75  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.19/0.75  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.38/0.76  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 10.47/1.92  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 13.09/2.29  % Solved by lams/40_c_ic.sh.
% 13.09/2.29  % done 41 iterations in 1.506s
% 13.09/2.29  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 13.09/2.29  % SZS output start Refutation
% See solution above
% 13.09/2.29  
% 13.09/2.29  
% 13.09/2.29  % Terminating...
% 14.09/2.47  % Runner terminated.
% 14.09/2.49  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------