TSTP Solution File: ITP005_5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP005_5 : 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.iFXvqbAwvk 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 Aug 31 05:20:48 EDT 2023

% Result   : Theorem 10.24s 2.21s
% Output   : Refutation 10.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   27 (   8 unt;  12 typ;   0 def)
%            Number of atoms       :   22 (  13 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  144 (   8   ~;   4   |;   0   &; 129   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :   28 (   0   ^;  28   !;   0   ?;  28   :)

% Comments : 
%------------------------------------------------------------------------------
thf(del_type,type,
    del: $tType ).

thf(c_2Epair_2ECURRY_type,type,
    c_2Epair_2ECURRY: del > del > del > $i ).

thf(mem_type,type,
    mem: $i > del > $o ).

thf(c_2Epair_2EUNCURRY_type,type,
    c_2Epair_2EUNCURRY: del > del > del > $i ).

thf(c_2Eset__relation_2Erel__to__reln_type,type,
    c_2Eset__relation_2Erel__to__reln: del > del > $i ).

thf(sk__106_type,type,
    sk__106: del ).

thf(c_2Eset__relation_2Ereln__to__rel_type,type,
    c_2Eset__relation_2Ereln__to__rel: del > del > $i ).

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

thf(arr_type,type,
    arr: del > del > del ).

thf(sk__108_type,type,
    sk__108: $i ).

thf(bool_type,type,
    bool: del ).

thf(sk__107_type,type,
    sk__107: del ).

thf(conj_thm_2Eset__relation_2Erel__to__reln__IS__UNCURRY,axiom,
    ! [A_27a: del,A_27b: del] :
      ( ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27b )
      = ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ bool ) ) ).

thf(zip_derived_cl385,plain,
    ! [X0: del,X1: del] :
      ( ( c_2Eset__relation_2Erel__to__reln @ X0 @ X1 )
      = ( c_2Epair_2EUNCURRY @ X0 @ X1 @ bool ) ),
    inference(cnf,[status(esa)],[conj_thm_2Eset__relation_2Erel__to__reln__IS__UNCURRY]) ).

thf(conj_thm_2Epair_2ECURRY__UNCURRY__THM,axiom,
    ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
      ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
     => ( ( ap @ ( c_2Epair_2ECURRY @ A_27a @ A_27b @ A_27c ) @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27c ) @ V0f ) )
        = V0f ) ) ).

thf(zip_derived_cl171,plain,
    ! [X0: $i,X1: del,X2: del,X3: del] :
      ( ( ( ap @ ( c_2Epair_2ECURRY @ X1 @ X2 @ X3 ) @ ( ap @ ( c_2Epair_2EUNCURRY @ X1 @ X2 @ X3 ) @ X0 ) )
        = X0 )
      | ~ ( mem @ X0 @ ( arr @ X1 @ ( arr @ X2 @ X3 ) ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2Epair_2ECURRY__UNCURRY__THM]) ).

thf(zip_derived_cl8540,plain,
    ! [X0: del,X1: del,X2: $i] :
      ( ( ( ap @ ( c_2Epair_2ECURRY @ X1 @ X0 @ bool ) @ ( ap @ ( c_2Eset__relation_2Erel__to__reln @ X1 @ X0 ) @ X2 ) )
        = X2 )
      | ~ ( mem @ X2 @ ( arr @ X1 @ ( arr @ X0 @ bool ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl385,zip_derived_cl171]) ).

thf(conj_thm_2Eset__relation_2Ereln__to__rel__IS__CURRY,axiom,
    ! [A_27a: del,A_27b: del] :
      ( ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27b )
      = ( c_2Epair_2ECURRY @ A_27a @ A_27b @ bool ) ) ).

thf(zip_derived_cl386,plain,
    ! [X0: del,X1: del] :
      ( ( c_2Eset__relation_2Ereln__to__rel @ X0 @ X1 )
      = ( c_2Epair_2ECURRY @ X0 @ X1 @ bool ) ),
    inference(cnf,[status(esa)],[conj_thm_2Eset__relation_2Ereln__to__rel__IS__CURRY]) ).

thf(zip_derived_cl8542,plain,
    ! [X0: del,X1: del,X2: $i] :
      ( ( ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ X1 @ X0 ) @ ( ap @ ( c_2Eset__relation_2Erel__to__reln @ X1 @ X0 ) @ X2 ) )
        = X2 )
      | ~ ( mem @ X2 @ ( arr @ X1 @ ( arr @ X0 @ bool ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl8540,zip_derived_cl386]) ).

thf(conj_thm_2Eset__relation_2Erel__to__reln__inv,conjecture,
    ! [A_27a: del,A_27b: del,V0R: $i] :
      ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
     => ( ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27b ) @ ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27b ) @ V0R ) )
        = V0R ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A_27a: del,A_27b: del,V0R: $i] :
        ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
       => ( ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27b ) @ ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27b ) @ V0R ) )
          = V0R ) ),
    inference('cnf.neg',[status(esa)],[conj_thm_2Eset__relation_2Erel__to__reln__inv]) ).

thf(zip_derived_cl388,plain,
    ( ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ sk__106 @ sk__107 ) @ ( ap @ ( c_2Eset__relation_2Erel__to__reln @ sk__106 @ sk__107 ) @ sk__108 ) )
   != sk__108 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8564,plain,
    ( ( sk__108 != sk__108 )
    | ~ ( mem @ sk__108 @ ( arr @ sk__106 @ ( arr @ sk__107 @ bool ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8542,zip_derived_cl388]) ).

thf(zip_derived_cl387,plain,
    mem @ sk__108 @ ( arr @ sk__106 @ ( arr @ sk__107 @ bool ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8565,plain,
    sk__108 != sk__108,
    inference(demod,[status(thm)],[zip_derived_cl8564,zip_derived_cl387]) ).

thf(zip_derived_cl8566,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl8565]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP005_5 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.iFXvqbAwvk true
% 0.12/0.35  % Computer : n021.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Sun Aug 27 12:07:43 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.36  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.12/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.12/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.12/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 10.24/2.21  % Solved by fo/fo3_bce.sh.
% 10.24/2.21  % BCE start: 389
% 10.24/2.21  % BCE eliminated: 14
% 10.24/2.21  % PE start: 375
% 10.24/2.21  logic: eq
% 10.24/2.21  % PE eliminated: -8
% 10.24/2.21  % done 243 iterations in 1.422s
% 10.24/2.21  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 10.24/2.21  % SZS output start Refutation
% See solution above
% 10.24/2.21  
% 10.24/2.21  
% 10.24/2.21  % Terminating...
% 11.37/2.27  % Runner terminated.
% 11.37/2.28  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------