TSTP Solution File: GEO500+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO500+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.epE4MWxnHU true

% Computer : n004.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 : Wed Aug 30 23:58:55 EDT 2023

% Result   : Theorem 109.81s 16.32s
% Output   : Refutation 109.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   50 (  21 unt;   7 typ;   0 def)
%            Number of atoms       :   74 (  27 equ;   0 cnn)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  400 (  31   ~;  29   |;   2   &; 338   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   4 con; 0-4 aty)
%            Number of variables   :   86 (   0   ^;  86   !;   0   ?;  86   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__2_type,type,
    sk__2: $i ).

thf(sk__1_type,type,
    sk__1: $i ).

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

thf(s_e_type,type,
    s_e: $i > $i > $i > $i > $o ).

thf(s_m_type,type,
    s_m: $i > $i > $i > $o ).

thf(sk__type,type,
    sk_: $i ).

thf(s_t_type,type,
    s_t: $i > $i > $i > $o ).

thf(aSatz7_4a,axiom,
    ! [Xp: $i,Xa: $i] : ( s_m @ Xp @ Xa @ ( s @ Xa @ Xp ) ) ).

thf(zip_derived_cl109,plain,
    ! [X0: $i,X1: $i] : ( s_m @ X0 @ X1 @ ( s @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[aSatz7_4a]) ).

thf(d_Defn7_1,axiom,
    ! [Xa: $i,Xm: $i,Xb: $i] :
      ( ( ( s_m @ Xa @ Xm @ Xb )
        | ~ ( s_e @ Xm @ Xa @ Xm @ Xb )
        | ~ ( s_t @ Xa @ Xm @ Xb ) )
      & ( ( s_e @ Xm @ Xa @ Xm @ Xb )
        | ~ ( s_m @ Xa @ Xm @ Xb ) )
      & ( ( s_t @ Xa @ Xm @ Xb )
        | ~ ( s_m @ Xa @ Xm @ Xb ) ) ) ).

thf(zip_derived_cl163,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s_e @ X0 @ X1 @ X0 @ X2 )
      | ~ ( s_m @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[d_Defn7_1]) ).

thf(zip_derived_cl1573,plain,
    ! [X0: $i,X1: $i] : ( s_e @ X1 @ X0 @ X1 @ ( s @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl163]) ).

thf(aSatz7_19,conjecture,
    ! [Xa: $i,Xb: $i,Xp: $i] :
      ( ( Xa = Xb )
      | ( ( s @ Xa @ ( s @ Xb @ Xp ) )
       != ( s @ Xb @ ( s @ Xa @ Xp ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xa: $i,Xb: $i,Xp: $i] :
        ( ( Xa = Xb )
        | ( ( s @ Xa @ ( s @ Xb @ Xp ) )
         != ( s @ Xb @ ( s @ Xa @ Xp ) ) ) ),
    inference('cnf.neg',[status(esa)],[aSatz7_19]) ).

thf(zip_derived_cl124,plain,
    ( ( s @ sk_ @ ( s @ sk__1 @ sk__2 ) )
    = ( s @ sk__1 @ ( s @ sk_ @ sk__2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(aSatz7_7,axiom,
    ! [Xa: $i,Xp: $i] :
      ( ( s @ Xa @ ( s @ Xa @ Xp ) )
      = Xp ) ).

thf(zip_derived_cl112,plain,
    ! [X0: $i,X1: $i] :
      ( ( s @ X1 @ ( s @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[aSatz7_7]) ).

thf(zip_derived_cl1090,plain,
    ( ( s @ sk__1 @ ( s @ sk_ @ ( s @ sk__1 @ sk__2 ) ) )
    = ( s @ sk_ @ sk__2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl124,zip_derived_cl112]) ).

thf(aSatz7_16a,axiom,
    ! [Xp: $i,Xq: $i,Xr: $i,Xcs: $i,Xa: $i] :
      ( ( s_e @ ( s @ Xa @ Xp ) @ ( s @ Xa @ Xq ) @ ( s @ Xa @ Xr ) @ ( s @ Xa @ Xcs ) )
      | ~ ( s_e @ Xp @ Xq @ Xr @ Xcs ) ) ).

thf(zip_derived_cl120,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( s_e @ X0 @ X1 @ X2 @ X3 )
      | ( s_e @ ( s @ X4 @ X0 ) @ ( s @ X4 @ X1 ) @ ( s @ X4 @ X2 ) @ ( s @ X4 @ X3 ) ) ),
    inference(cnf,[status(esa)],[aSatz7_16a]) ).

thf(zip_derived_cl2039,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( s_e @ X2 @ X1 @ X0 @ ( s @ sk_ @ ( s @ sk__1 @ sk__2 ) ) )
      | ( s_e @ ( s @ sk__1 @ X2 ) @ ( s @ sk__1 @ X1 ) @ ( s @ sk__1 @ X0 ) @ ( s @ sk_ @ sk__2 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1090,zip_derived_cl120]) ).

thf(zip_derived_cl164,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s_m @ X0 @ X1 @ X2 )
      | ~ ( s_e @ X1 @ X0 @ X1 @ X2 )
      | ~ ( s_t @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[d_Defn7_1]) ).

thf(zip_derived_cl3962,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( s_e @ X0 @ X1 @ X0 @ ( s @ sk_ @ ( s @ sk__1 @ sk__2 ) ) )
      | ( s_m @ ( s @ sk__1 @ X1 ) @ ( s @ sk__1 @ X0 ) @ ( s @ sk_ @ sk__2 ) )
      | ~ ( s_t @ ( s @ sk__1 @ X1 ) @ ( s @ sk__1 @ X0 ) @ ( s @ sk_ @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2039,zip_derived_cl164]) ).

thf(zip_derived_cl49271,plain,
    ( ( s_m @ ( s @ sk__1 @ ( s @ sk__1 @ sk__2 ) ) @ ( s @ sk__1 @ sk_ ) @ ( s @ sk_ @ sk__2 ) )
    | ~ ( s_t @ ( s @ sk__1 @ ( s @ sk__1 @ sk__2 ) ) @ ( s @ sk__1 @ sk_ ) @ ( s @ sk_ @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1573,zip_derived_cl3962]) ).

thf(zip_derived_cl112_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( s @ X1 @ ( s @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[aSatz7_7]) ).

thf(zip_derived_cl112_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( s @ X1 @ ( s @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[aSatz7_7]) ).

thf(zip_derived_cl109_003,plain,
    ! [X0: $i,X1: $i] : ( s_m @ X0 @ X1 @ ( s @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[aSatz7_4a]) ).

thf(zip_derived_cl162,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s_t @ X0 @ X1 @ X2 )
      | ~ ( s_m @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[d_Defn7_1]) ).

thf(zip_derived_cl1549,plain,
    ! [X0: $i,X1: $i] : ( s_t @ X0 @ X1 @ ( s @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl162]) ).

thf(zip_derived_cl112_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( s @ X1 @ ( s @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[aSatz7_7]) ).

thf(zip_derived_cl1090_005,plain,
    ( ( s @ sk__1 @ ( s @ sk_ @ ( s @ sk__1 @ sk__2 ) ) )
    = ( s @ sk_ @ sk__2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl124,zip_derived_cl112]) ).

thf(aSatz7_15a,axiom,
    ! [Xp: $i,Xq: $i,Xr: $i,Xa: $i] :
      ( ( s_t @ ( s @ Xa @ Xp ) @ ( s @ Xa @ Xq ) @ ( s @ Xa @ Xr ) )
      | ~ ( s_t @ Xp @ Xq @ Xr ) ) ).

thf(zip_derived_cl118,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( s_t @ X0 @ X1 @ X2 )
      | ( s_t @ ( s @ X3 @ X0 ) @ ( s @ X3 @ X1 ) @ ( s @ X3 @ X2 ) ) ),
    inference(cnf,[status(esa)],[aSatz7_15a]) ).

thf(zip_derived_cl1963,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( s_t @ X1 @ X0 @ ( s @ sk_ @ ( s @ sk__1 @ sk__2 ) ) )
      | ( s_t @ ( s @ sk__1 @ X1 ) @ ( s @ sk__1 @ X0 ) @ ( s @ sk_ @ sk__2 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1090,zip_derived_cl118]) ).

thf(zip_derived_cl3147,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( s_t @ ( s @ sk__1 @ X0 ) @ X1 @ ( s @ sk_ @ ( s @ sk__1 @ sk__2 ) ) )
      | ( s_t @ X0 @ ( s @ sk__1 @ X1 ) @ ( s @ sk_ @ sk__2 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl112,zip_derived_cl1963]) ).

thf(zip_derived_cl22061,plain,
    s_t @ sk__2 @ ( s @ sk__1 @ sk_ ) @ ( s @ sk_ @ sk__2 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl3147]) ).

thf(zip_derived_cl49321,plain,
    s_m @ sk__2 @ ( s @ sk__1 @ sk_ ) @ ( s @ sk_ @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl49271,zip_derived_cl112,zip_derived_cl112,zip_derived_cl22061]) ).

thf(zip_derived_cl109_006,plain,
    ! [X0: $i,X1: $i] : ( s_m @ X0 @ X1 @ ( s @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[aSatz7_4a]) ).

thf(aSatz7_17,axiom,
    ! [Xp: $i,Xa: $i,Xq: $i,Xb: $i] :
      ( ( Xa = Xb )
      | ~ ( s_m @ Xp @ Xb @ Xq )
      | ~ ( s_m @ Xp @ Xa @ Xq ) ) ).

thf(zip_derived_cl122,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( s_m @ X0 @ X1 @ X2 )
      | ~ ( s_m @ X0 @ X3 @ X2 )
      | ( X1 = X3 ) ),
    inference(cnf,[status(esa)],[aSatz7_17]) ).

thf(zip_derived_cl1664,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( s_m @ X0 @ X2 @ ( s @ X1 @ X0 ) )
      | ( X1 = X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl122]) ).

thf(zip_derived_cl50715,plain,
    ( sk_
    = ( s @ sk__1 @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl49321,zip_derived_cl1664]) ).

thf(zip_derived_cl112_007,plain,
    ! [X0: $i,X1: $i] :
      ( ( s @ X1 @ ( s @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[aSatz7_7]) ).

thf(aSatz7_10a,axiom,
    ! [Xa: $i,Xp: $i] :
      ( ( Xp = Xa )
      | ( ( s @ Xa @ Xp )
       != Xp ) ) ).

thf(zip_derived_cl115,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( ( s @ X0 @ X1 )
       != X1 ) ),
    inference(cnf,[status(esa)],[aSatz7_10a]) ).

thf(zip_derived_cl1080,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( s @ X1 @ X0 )
        = X1 )
      | ( X0
       != ( s @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl115]) ).

thf(zip_derived_cl50855,plain,
    ( ( sk_ = sk__1 )
    | ( sk_ != sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl50715,zip_derived_cl1080]) ).

thf(zip_derived_cl51713,plain,
    sk_ = sk__1,
    inference(simplify,[status(thm)],[zip_derived_cl50855]) ).

thf(zip_derived_cl125,plain,
    sk_ != sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51714,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl51713,zip_derived_cl125]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem  : GEO500+1 : TPTP v8.1.2. Released v7.0.0.
% 0.09/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.epE4MWxnHU true
% 0.15/0.37  % Computer : n004.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Tue Aug 29 21:49:07 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.38  % Number of cores: 8
% 0.15/0.38  % Python version: Python 3.6.8
% 0.15/0.38  % Running in FO mode
% 0.23/0.70  % Total configuration time : 435
% 0.23/0.70  % Estimated wc time : 1092
% 0.23/0.70  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 109.81/16.32  % Solved by fo/fo6_bce.sh.
% 109.81/16.32  % BCE start: 172
% 109.81/16.32  % BCE eliminated: 0
% 109.81/16.32  % PE start: 172
% 109.81/16.32  logic: eq
% 109.81/16.32  % PE eliminated: 28
% 109.81/16.32  % done 5224 iterations in 15.567s
% 109.81/16.32  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 109.81/16.32  % SZS output start Refutation
% See solution above
% 109.81/16.32  
% 109.81/16.32  
% 109.81/16.32  % Terminating...
% 110.60/16.43  % Runner terminated.
% 110.60/16.45  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------