TSTP Solution File: GEO497+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO497+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PbFuSiIaOZ true

% Computer : n032.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 23:58:54 EDT 2023

% Result   : Theorem 14.24s 2.50s
% Output   : Refutation 14.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   46 (  18 unt;  11 typ;   0 def)
%            Number of atoms       :   74 (  38 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  334 (  24   ~;  36   |;   3   &; 271   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   7 con; 0-4 aty)
%            Number of variables   :   85 (   0   ^;  85   !;   0   ?;  85   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__3_type,type,
    sk__3: $i ).

thf(ext_type,type,
    ext: $i > $i > $i > $i > $i ).

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

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

thf(gamma_type,type,
    gamma: $i ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(alpha_type,type,
    alpha: $i ).

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

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

thf(sameside_type,type,
    sameside: $i > $i > $i > $o ).

thf(insert_type,type,
    insert: $i > $i > $i > $i > $i ).

thf(aA3,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( X = Y )
      | ~ ( s_e @ X @ Y @ Z @ Z ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ~ ( s_e @ X1 @ X0 @ X2 @ X2 ) ),
    inference(cnf,[status(esa)],[aA3]) ).

thf(aSatz6_11a,conjecture,
    ! [Xr: $i,Xa: $i,Xb: $i,Xc: $i] :
      ( ( ( s_e @ Xa @ ( insert @ Xb @ Xc @ Xa @ Xr ) @ Xb @ Xc )
        | ( Xb = Xc )
        | ( Xr = Xa ) )
      & ( ( sameside @ ( insert @ Xb @ Xc @ Xa @ Xr ) @ Xa @ Xr )
        | ( Xb = Xc )
        | ( Xr = Xa ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xr: $i,Xa: $i,Xb: $i,Xc: $i] :
        ( ( ( s_e @ Xa @ ( insert @ Xb @ Xc @ Xa @ Xr ) @ Xb @ Xc )
          | ( Xb = Xc )
          | ( Xr = Xa ) )
        & ( ( sameside @ ( insert @ Xb @ Xc @ Xa @ Xr ) @ Xa @ Xr )
          | ( Xb = Xc )
          | ( Xr = Xa ) ) ),
    inference('cnf.neg',[status(esa)],[aSatz6_11a]) ).

thf(zip_derived_cl91,plain,
    ( ~ ( s_e @ sk__1 @ ( insert @ sk__2 @ sk__3 @ sk__1 @ sk_ ) @ sk__2 @ sk__3 )
    | ~ ( sameside @ ( insert @ sk__2 @ sk__3 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d_insert,axiom,
    ! [Xa: $i,Xb: $i,Xa1: $i,Xc1: $i] :
      ( ( insert @ Xa @ Xb @ Xa1 @ Xc1 )
      = ( ext @ ( ext @ Xc1 @ Xa1 @ alpha @ gamma ) @ Xa1 @ Xa @ Xb ) ) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( insert @ X2 @ X3 @ X1 @ X0 )
      = ( ext @ ( ext @ X0 @ X1 @ alpha @ gamma ) @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[d_insert]) ).

thf(aA4,axiom,
    ! [X: $i,Y: $i,W: $i,V: $i] :
      ( ( s_e @ Y @ ( ext @ X @ Y @ W @ V ) @ W @ V )
      & ( s_t @ X @ Y @ ( ext @ X @ Y @ W @ V ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( s_e @ X0 @ ( ext @ X1 @ X0 @ X2 @ X3 ) @ X2 @ X3 ),
    inference(cnf,[status(esa)],[aA4]) ).

thf(zip_derived_cl74_001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( insert @ X2 @ X3 @ X1 @ X0 )
      = ( ext @ ( ext @ X0 @ X1 @ alpha @ gamma ) @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[d_insert]) ).

thf(zip_derived_cl898,plain,
    ~ ( sameside @ ( ext @ ( ext @ sk_ @ sk__1 @ alpha @ gamma ) @ sk__1 @ sk__2 @ sk__3 ) @ sk__1 @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl74,zip_derived_cl4,zip_derived_cl74]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( s_t @ X0 @ X1 @ ( ext @ X0 @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[aA4]) ).

thf(aSatz3_2,axiom,
    ! [Xa: $i,Xb: $i,Xc: $i] :
      ( ( s_t @ Xc @ Xb @ Xa )
      | ~ ( s_t @ Xa @ Xb @ Xc ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s_t @ X0 @ X1 @ X2 )
      | ~ ( s_t @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[aSatz3_2]) ).

thf(zip_derived_cl588,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( s_t @ ( ext @ X3 @ X2 @ X1 @ X0 ) @ X2 @ X3 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl22]) ).

thf(aSatz6_2a,axiom,
    ! [Xa: $i,Xp: $i,Xb: $i,Xc: $i] :
      ( ( sameside @ Xa @ Xp @ Xb )
      | ~ ( s_t @ Xb @ Xp @ Xc )
      | ~ ( s_t @ Xa @ Xp @ Xc )
      | ( Xc = Xp )
      | ( Xb = Xp )
      | ( Xa = Xp ) ) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sameside @ X0 @ X1 @ X2 )
      | ( X2 = X1 )
      | ( X0 = X1 )
      | ( X3 = X1 )
      | ~ ( s_t @ X0 @ X1 @ X3 )
      | ~ ( s_t @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[aSatz6_2a]) ).

thf(zip_derived_cl1040,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( s_t @ X4 @ X1 @ X0 )
      | ( X0 = X1 )
      | ( ( ext @ X0 @ X1 @ X3 @ X2 )
        = X1 )
      | ( X4 = X1 )
      | ( sameside @ ( ext @ X0 @ X1 @ X3 @ X2 ) @ X1 @ X4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl588,zip_derived_cl65]) ).

thf(zip_derived_cl9407,plain,
    ( ( sk_ = sk__1 )
    | ( ( ext @ ( ext @ sk_ @ sk__1 @ alpha @ gamma ) @ sk__1 @ sk__2 @ sk__3 )
      = sk__1 )
    | ( ( ext @ sk_ @ sk__1 @ alpha @ gamma )
      = sk__1 )
    | ~ ( s_t @ sk_ @ sk__1 @ ( ext @ sk_ @ sk__1 @ alpha @ gamma ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl898,zip_derived_cl1040]) ).

thf(zip_derived_cl3_002,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( s_t @ X0 @ X1 @ ( ext @ X0 @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[aA4]) ).

thf(zip_derived_cl9415,plain,
    ( ( sk_ = sk__1 )
    | ( ( ext @ ( ext @ sk_ @ sk__1 @ alpha @ gamma ) @ sk__1 @ sk__2 @ sk__3 )
      = sk__1 )
    | ( ( ext @ sk_ @ sk__1 @ alpha @ gamma )
      = sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9407,zip_derived_cl3]) ).

thf(aSatz3_14b,axiom,
    ! [Xb: $i,Xa: $i] :
      ( Xb
     != ( ext @ Xa @ Xb @ alpha @ gamma ) ) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i] :
      ( X1
     != ( ext @ X0 @ X1 @ alpha @ gamma ) ),
    inference(cnf,[status(esa)],[aSatz3_14b]) ).

thf(zip_derived_cl99,plain,
    ( ( sk_ != sk__1 )
    | ( sk_ != sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl573,plain,
    sk_ != sk__1,
    inference(simplify,[status(thm)],[zip_derived_cl99]) ).

thf(zip_derived_cl9416,plain,
    ( ( ext @ ( ext @ sk_ @ sk__1 @ alpha @ gamma ) @ sk__1 @ sk__2 @ sk__3 )
    = sk__1 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl9415,zip_derived_cl35,zip_derived_cl573]) ).

thf(zip_derived_cl4_003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( s_e @ X0 @ ( ext @ X1 @ X0 @ X2 @ X3 ) @ X2 @ X3 ),
    inference(cnf,[status(esa)],[aA4]) ).

thf(aSatz2_2,axiom,
    ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
      ( ( s_e @ Xc @ Xd @ Xa @ Xb )
      | ~ ( s_e @ Xa @ Xb @ Xc @ Xd ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( s_e @ X0 @ X1 @ X2 @ X3 )
      | ~ ( s_e @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[aSatz2_2]) ).

thf(zip_derived_cl671,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( s_e @ X1 @ X0 @ X2 @ ( ext @ X3 @ X2 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl11]) ).

thf(zip_derived_cl9679,plain,
    s_e @ sk__2 @ sk__3 @ sk__1 @ sk__1,
    inference('sup+',[status(thm)],[zip_derived_cl9416,zip_derived_cl671]) ).

thf(zip_derived_cl9890,plain,
    sk__2 = sk__3,
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl9679]) ).

thf(zip_derived_cl95,plain,
    ( ( sk__2 != sk__3 )
    | ( sk__2 != sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl570,plain,
    sk__2 != sk__3,
    inference(simplify,[status(thm)],[zip_derived_cl95]) ).

thf(zip_derived_cl9891,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl9890,zip_derived_cl570]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem  : GEO497+1 : TPTP v8.1.2. Released v7.0.0.
% 0.05/0.09  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PbFuSiIaOZ true
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Tue Aug 29 22:23:47 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 0.09/0.29  % Running portfolio for 300 s
% 0.09/0.29  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29  % Number of cores: 8
% 0.09/0.29  % Python version: Python 3.6.8
% 0.09/0.29  % Running in FO mode
% 0.15/0.47  % Total configuration time : 435
% 0.15/0.47  % Estimated wc time : 1092
% 0.15/0.47  % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.53  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/0.53  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.53  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.15/0.53  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.15/0.53  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.15/0.54  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.15/0.54  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 14.24/2.50  % Solved by fo/fo3_bce.sh.
% 14.24/2.50  % BCE start: 100
% 14.24/2.50  % BCE eliminated: 0
% 14.24/2.50  % PE start: 100
% 14.24/2.50  logic: eq
% 14.24/2.50  % PE eliminated: 8
% 14.24/2.50  % done 1436 iterations in 1.950s
% 14.24/2.50  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 14.24/2.50  % SZS output start Refutation
% See solution above
% 14.24/2.50  
% 14.24/2.50  
% 14.24/2.50  % Terminating...
% 14.48/2.57  % Runner terminated.
% 14.48/2.58  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------