TSTP Solution File: GEO526+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO526+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.EpDlsadrne true

% Computer : n002.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 23:59:00 EDT 2023

% Result   : Theorem 12.50s 2.40s
% Output   : Refutation 12.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   42 (  15 unt;  10 typ;   0 def)
%            Number of atoms       :   69 (   9 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  307 (  36   ~;  36   |;   1   &; 234   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   6 con; 0-4 aty)
%            Number of variables   :   57 (   0   ^;  57   !;   0   ?;  57   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__1_type,type,
    sk__1: $i ).

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

thf(sk__3_type,type,
    sk__3: $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__2_type,type,
    sk__2: $i ).

thf(s_r_type,type,
    s_r: $i > $i > $i > $o ).

thf(midpoint_type,type,
    midpoint: $i > $i > $i ).

thf(sk__4_type,type,
    sk__4: $i ).

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

thf(aSatz10_12c,conjecture,
    ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xc1: $i] :
      ( ( Xc = Xc1 )
      | ( Xb
       != ( midpoint @ Xc @ Xc1 ) )
      | ( s_e @ Xa @ Xc @ Xa1 @ Xc1 )
      | ~ ( s_e @ Xb @ Xc @ Xb @ Xc1 )
      | ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb )
      | ~ ( s_r @ Xa1 @ Xb @ Xc1 )
      | ~ ( s_r @ Xa @ Xb @ Xc ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xc1: $i] :
        ( ( Xc = Xc1 )
        | ( Xb
         != ( midpoint @ Xc @ Xc1 ) )
        | ( s_e @ Xa @ Xc @ Xa1 @ Xc1 )
        | ~ ( s_e @ Xb @ Xc @ Xb @ Xc1 )
        | ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb )
        | ~ ( s_r @ Xa1 @ Xb @ Xc1 )
        | ~ ( s_r @ Xa @ Xb @ Xc ) ),
    inference('cnf.neg',[status(esa)],[aSatz10_12c]) ).

thf(zip_derived_cl227,plain,
    ~ ( s_e @ sk_ @ sk__2 @ sk__3 @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl226,plain,
    ( sk__1
    = ( midpoint @ sk__2 @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(aSatz8_22,axiom,
    ! [Xa: $i,Xb: $i] : ( s_m @ Xa @ ( midpoint @ Xa @ Xb ) @ Xb ) ).

thf(zip_derived_cl173,plain,
    ! [X0: $i,X1: $i] : ( s_m @ X0 @ ( midpoint @ X0 @ X1 ) @ X1 ),
    inference(cnf,[status(esa)],[aSatz8_22]) ).

thf(zip_derived_cl2773,plain,
    s_m @ sk__2 @ sk__1 @ sk__4,
    inference('s_sup+',[status(thm)],[zip_derived_cl226,zip_derived_cl173]) ).

thf(aSatz7_6,axiom,
    ! [Xp: $i,Xa: $i,Xq: $i] :
      ( ( Xq
        = ( s @ Xa @ Xp ) )
      | ~ ( s_m @ Xp @ Xa @ Xq ) ) ).

thf(zip_derived_cl111,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2
        = ( s @ X0 @ X1 ) )
      | ~ ( s_m @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[aSatz7_6]) ).

thf(zip_derived_cl2777,plain,
    ( sk__4
    = ( s @ sk__1 @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2773,zip_derived_cl111]) ).

thf(aSatz8_4,axiom,
    ! [Xa: $i,Xb: $i,Xc: $i] :
      ( ( s_r @ Xa @ Xb @ ( s @ Xb @ Xc ) )
      | ~ ( s_r @ Xa @ Xb @ Xc ) ) ).

thf(zip_derived_cl133,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s_r @ X0 @ X1 @ ( s @ X1 @ X2 ) )
      | ~ ( s_r @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[aSatz8_4]) ).

thf(zip_derived_cl3315,plain,
    ! [X0: $i] :
      ( ( s_r @ X0 @ sk__1 @ sk__4 )
      | ~ ( s_r @ X0 @ sk__1 @ sk__2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2777,zip_derived_cl133]) ).

thf(zip_derived_cl231,plain,
    s_e @ sk_ @ sk__1 @ sk__3 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(aSatz10_12b,axiom,
    ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i] :
      ( ( s_e @ Xa @ Xc @ Xa1 @ Xc )
      | ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb )
      | ~ ( s_r @ Xa1 @ Xb @ Xc )
      | ~ ( s_r @ Xa @ Xb @ Xc ) ) ).

thf(zip_derived_cl224,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( s_r @ X0 @ X1 @ X2 )
      | ~ ( s_r @ X3 @ X1 @ X2 )
      | ~ ( s_e @ X0 @ X1 @ X3 @ X1 )
      | ( s_e @ X0 @ X2 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[aSatz10_12b]) ).

thf(zip_derived_cl4696,plain,
    ! [X0: $i] :
      ( ~ ( s_r @ sk_ @ sk__1 @ X0 )
      | ~ ( s_r @ sk__3 @ sk__1 @ X0 )
      | ( s_e @ sk_ @ X0 @ sk__3 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl231,zip_derived_cl224]) ).

thf(zip_derived_cl4773,plain,
    ( ~ ( s_r @ sk_ @ sk__1 @ sk__2 )
    | ~ ( s_r @ sk__3 @ sk__1 @ sk__4 )
    | ( s_e @ sk_ @ sk__4 @ sk__3 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3315,zip_derived_cl4696]) ).

thf(zip_derived_cl230,plain,
    s_r @ sk_ @ sk__1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl229,plain,
    s_r @ sk__3 @ sk__1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4777,plain,
    s_e @ sk_ @ sk__4 @ sk__3 @ sk__4,
    inference(demod,[status(thm)],[zip_derived_cl4773,zip_derived_cl230,zip_derived_cl229]) ).

thf(zip_derived_cl230_001,plain,
    s_r @ sk_ @ sk__1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2777_002,plain,
    ( sk__4
    = ( s @ sk__1 @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2773,zip_derived_cl111]) ).

thf(d_Defn8_1,axiom,
    ! [Xa: $i,Xb: $i,Xc: $i] :
      ( ( ~ ( s_e @ Xa @ Xc @ Xa @ ( s @ Xb @ Xc ) )
        | ( s_r @ Xa @ Xb @ Xc ) )
      & ( ( s_e @ Xa @ Xc @ Xa @ ( s @ Xb @ Xc ) )
        | ~ ( s_r @ Xa @ Xb @ Xc ) ) ) ).

thf(zip_derived_cl278,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s_e @ X0 @ X1 @ X0 @ ( s @ X2 @ X1 ) )
      | ~ ( s_r @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[d_Defn8_1]) ).

thf(zip_derived_cl3906,plain,
    ! [X0: $i] :
      ( ( s_e @ X0 @ sk__2 @ X0 @ sk__4 )
      | ~ ( s_r @ X0 @ sk__1 @ sk__2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2777,zip_derived_cl278]) ).

thf(zip_derived_cl3934,plain,
    s_e @ sk_ @ sk__2 @ sk_ @ sk__4,
    inference('s_sup-',[status(thm)],[zip_derived_cl230,zip_derived_cl3906]) ).

thf(aSatz2_3,axiom,
    ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xe: $i,Xf: $i] :
      ( ( s_e @ Xa @ Xb @ Xe @ Xf )
      | ~ ( s_e @ Xc @ Xd @ Xe @ Xf )
      | ~ ( s_e @ Xa @ Xb @ Xc @ Xd ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( s_e @ X0 @ X1 @ X2 @ X3 )
      | ~ ( s_e @ X2 @ X3 @ X4 @ X5 )
      | ( s_e @ X0 @ X1 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[aSatz2_3]) ).

thf(zip_derived_cl4018,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( s_e @ sk_ @ sk__4 @ X1 @ X0 )
      | ( s_e @ sk_ @ sk__2 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3934,zip_derived_cl14]) ).

thf(zip_derived_cl7600,plain,
    s_e @ sk_ @ sk__2 @ sk__3 @ sk__4,
    inference('s_sup-',[status(thm)],[zip_derived_cl4777,zip_derived_cl4018]) ).

thf(zip_derived_cl7778,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl7600]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GEO526+1 : TPTP v8.1.2. Released v7.0.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EpDlsadrne true
% 0.15/0.35  % Computer : n002.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue Aug 29 22:43:05 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 12.50/2.40  % Solved by fo/fo6_bce.sh.
% 12.50/2.40  % BCE start: 307
% 12.50/2.40  % BCE eliminated: 0
% 12.50/2.40  % PE start: 307
% 12.50/2.40  logic: eq
% 12.50/2.40  % PE eliminated: 28
% 12.50/2.40  % done 1188 iterations in 1.643s
% 12.50/2.40  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.50/2.40  % SZS output start Refutation
% See solution above
% 12.50/2.40  
% 12.50/2.40  
% 12.50/2.40  % Terminating...
% 12.93/2.52  % Runner terminated.
% 12.93/2.53  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------