TSTP Solution File: ITP020+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP020+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.VXN7RBOJXo 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 05:21:28 EDT 2023

% Result   : Theorem 12.14s 2.33s
% Output   : Refutation 12.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   20 (   7 unt;  11 typ;   0 def)
%            Number of atoms       :   11 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  289 (   3   ~;   1   |;   0   &; 284   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (  13 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;   5 con; 0-4 aty)
%            Number of variables   :   15 (   0   ^;  10   !;   5   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(s_type,type,
    s: $i > $i > $i ).

thf(tyop_2Epair_2Eprod_type,type,
    tyop_2Epair_2Eprod: $i > $i > $i ).

thf(sk__24_type,type,
    sk__24: $i > $i > $i > $i > $i ).

thf(tyop_2Emin_2Efun_type,type,
    tyop_2Emin_2Efun: $i > $i > $i ).

thf(c_2Epred__set_2EBIJ_2E3_type,type,
    c_2Epred__set_2EBIJ_2E3: $i > $i > $i > $i ).

thf(tyop_2Emin_2Ebool_type,type,
    tyop_2Emin_2Ebool: $i ).

thf(p_type,type,
    p: $i > $o ).

thf(c_2Epred__set_2ECROSS_2E2_type,type,
    c_2Epred__set_2ECROSS_2E2: $i > $i > $i ).

thf(c_2Epred__set_2EUNIV_2E0_type,type,
    c_2Epred__set_2EUNIV_2E0: $i ).

thf(sk__25_type,type,
    sk__25: $i ).

thf(tyop_2Enum_2Enum_type,type,
    tyop_2Enum_2Enum: $i ).

thf(thm_2Eutil__prob_2ENUM__2D__BIJ,axiom,
    ? [V0f_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ V0f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2ECROSS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EUNIV_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EUNIV_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EUNIV_2E0 ) ) ) ) ).

thf(zip_derived_cl166,plain,
    p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ sk__25 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2ECROSS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EUNIV_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EUNIV_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EUNIV_2E0 ) ) ),
    inference(cnf,[status(esa)],[thm_2Eutil__prob_2ENUM__2D__BIJ]) ).

thf(thm_2Epred__set_2EBIJ__SYM,axiom,
    ! [A_27a: $i,A_27b: $i,V0s_2E0: $i,V1t_2E0: $i] :
      ( ? [V2f_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V2f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1t_2E0 ) ) ) )
    <=> ? [V3g_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ V3g_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1t_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) ) ) ) ) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( sk__24 @ X2 @ X3 @ X0 @ X1 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) )
      | ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) ) ),
    inference(cnf,[status(esa)],[thm_2Epred__set_2EBIJ__SYM]) ).

thf(zip_derived_cl10562,plain,
    p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( sk__24 @ c_2Epred__set_2EUNIV_2E0 @ ( c_2Epred__set_2ECROSS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EUNIV_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EUNIV_2E0 ) ) @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EUNIV_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2ECROSS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EUNIV_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EUNIV_2E0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl54]) ).

thf(thm_2Eutil__prob_2ENUM__2D__BIJ__INV,conjecture,
    ? [V0f_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EUNIV_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2ECROSS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EUNIV_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EUNIV_2E0 ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [V0f_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EUNIV_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2ECROSS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EUNIV_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EUNIV_2E0 ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[thm_2Eutil__prob_2ENUM__2D__BIJ__INV]) ).

thf(zip_derived_cl167,plain,
    ! [X0: $i] :
      ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EUNIV_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2ECROSS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EUNIV_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EUNIV_2E0 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11533,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl10562,zip_derived_cl167]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ITP020+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VXN7RBOJXo true
% 0.14/0.34  % Computer : n011.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sun Aug 27 16:00:10 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 1.13/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.13/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.13/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.13/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.13/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.13/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.13/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 12.14/2.33  % Solved by fo/fo4.sh.
% 12.14/2.33  % done 462 iterations in 1.558s
% 12.14/2.33  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.14/2.33  % SZS output start Refutation
% See solution above
% 12.14/2.33  
% 12.14/2.33  
% 12.14/2.33  % Terminating...
% 12.71/2.44  % Runner terminated.
% 12.71/2.45  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------