TSTP Solution File: RNG105+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG105+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.194GYDHNYX true

% Computer : n028.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 14:06:55 EDT 2023

% Result   : Theorem 1.29s 0.84s
% Output   : Refutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   49 (  14 unt;  12 typ;   0 def)
%            Number of atoms       :   84 (  18 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  285 (  41   ~;  32   |;  10   &; 197   @)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   26 (   0   ^;  25   !;   1   ?;  26   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sdtasdt0_type,type,
    sdtasdt0: $i > $i > $i ).

thf(aElement0_type,type,
    aElement0: $i > $o ).

thf(xx_type,type,
    xx: $i ).

thf(sdtpldt0_type,type,
    sdtpldt0: $i > $i > $i ).

thf(slsdtgt0_type,type,
    slsdtgt0: $i > $i ).

thf(xz_type,type,
    xz: $i ).

thf(xc_type,type,
    xc: $i ).

thf(aElementOf0_type,type,
    aElementOf0: $i > $i > $o ).

thf(xv_type,type,
    xv: $i ).

thf(aSet0_type,type,
    aSet0: $i > $o ).

thf(xy_type,type,
    xy: $i ).

thf(xu_type,type,
    xu: $i ).

thf(mSortsB_02,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ( aElement0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aElement0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB_02]) ).

thf(m__2043,axiom,
    ( ( sdtasdt0 @ xz @ xx )
    = ( sdtasdt0 @ xc @ ( sdtasdt0 @ xu @ xz ) ) ) ).

thf(zip_derived_cl32,plain,
    ( ( sdtasdt0 @ xz @ xx )
    = ( sdtasdt0 @ xc @ ( sdtasdt0 @ xu @ xz ) ) ),
    inference(cnf,[status(esa)],[m__2043]) ).

thf(mDefPrIdeal,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ! [W1: $i] :
          ( ( W1
            = ( slsdtgt0 @ W0 ) )
        <=> ( ( aSet0 @ W1 )
            & ! [W2: $i] :
                ( ( aElementOf0 @ W2 @ W1 )
              <=> ? [W3: $i] :
                    ( ( ( sdtasdt0 @ W0 @ W3 )
                      = W2 )
                    & ( aElement0 @ W3 ) ) ) ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1
       != ( slsdtgt0 @ X0 ) )
      | ( aElementOf0 @ X2 @ X1 )
      | ~ ( aElement0 @ X3 )
      | ( ( sdtasdt0 @ X0 @ X3 )
       != X2 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefPrIdeal]) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aElementOf0 @ ( sdtasdt0 @ X0 @ X1 ) @ X2 )
      | ( X2
       != ( slsdtgt0 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl297,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ ( sdtasdt0 @ xz @ xx ) @ X0 )
      | ( X0
       != ( slsdtgt0 @ xc ) )
      | ~ ( aElement0 @ ( sdtasdt0 @ xu @ xz ) )
      | ~ ( aElement0 @ xc ) ),
    inference('sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl55]) ).

thf(m__1905,axiom,
    aElement0 @ xc ).

thf(zip_derived_cl23,plain,
    aElement0 @ xc,
    inference(cnf,[status(esa)],[m__1905]) ).

thf(zip_derived_cl304,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ ( sdtasdt0 @ xz @ xx ) @ X0 )
      | ( X0
       != ( slsdtgt0 @ xc ) )
      | ~ ( aElement0 @ ( sdtasdt0 @ xu @ xz ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl297,zip_derived_cl23]) ).

thf(mSortsB,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ( aElement0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aElement0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB]) ).

thf(m__2010,axiom,
    ( ( sdtpldt0 @ xx @ xy )
    = ( sdtasdt0 @ xc @ ( sdtpldt0 @ xu @ xv ) ) ) ).

thf(zip_derived_cl31,plain,
    ( ( sdtpldt0 @ xx @ xy )
    = ( sdtasdt0 @ xc @ ( sdtpldt0 @ xu @ xv ) ) ),
    inference(cnf,[status(esa)],[m__2010]) ).

thf(zip_derived_cl55_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aElementOf0 @ ( sdtasdt0 @ X0 @ X1 ) @ X2 )
      | ( X2
       != ( slsdtgt0 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl296,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ ( sdtpldt0 @ xx @ xy ) @ X0 )
      | ( X0
       != ( slsdtgt0 @ xc ) )
      | ~ ( aElement0 @ ( sdtpldt0 @ xu @ xv ) )
      | ~ ( aElement0 @ xc ) ),
    inference('sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl55]) ).

thf(zip_derived_cl23_002,plain,
    aElement0 @ xc,
    inference(cnf,[status(esa)],[m__1905]) ).

thf(zip_derived_cl303,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ ( sdtpldt0 @ xx @ xy ) @ X0 )
      | ( X0
       != ( slsdtgt0 @ xc ) )
      | ~ ( aElement0 @ ( sdtpldt0 @ xu @ xv ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl23]) ).

thf(m__,conjecture,
    ( ( aElementOf0 @ ( sdtpldt0 @ xx @ xy ) @ ( slsdtgt0 @ xc ) )
    & ( aElementOf0 @ ( sdtasdt0 @ xz @ xx ) @ ( slsdtgt0 @ xc ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( aElementOf0 @ ( sdtpldt0 @ xx @ xy ) @ ( slsdtgt0 @ xc ) )
      & ( aElementOf0 @ ( sdtasdt0 @ xz @ xx ) @ ( slsdtgt0 @ xc ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl33,plain,
    ( ~ ( aElementOf0 @ ( sdtpldt0 @ xx @ xy ) @ ( slsdtgt0 @ xc ) )
    | ~ ( aElementOf0 @ ( sdtasdt0 @ xz @ xx ) @ ( slsdtgt0 @ xc ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl336,plain,
    ( ~ ( aElement0 @ ( sdtpldt0 @ xu @ xv ) )
    | ( ( slsdtgt0 @ xc )
     != ( slsdtgt0 @ xc ) )
    | ~ ( aElementOf0 @ ( sdtasdt0 @ xz @ xx ) @ ( slsdtgt0 @ xc ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl303,zip_derived_cl33]) ).

thf(zip_derived_cl338,plain,
    ( ~ ( aElementOf0 @ ( sdtasdt0 @ xz @ xx ) @ ( slsdtgt0 @ xc ) )
    | ~ ( aElement0 @ ( sdtpldt0 @ xu @ xv ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl336]) ).

thf(zip_derived_cl345,plain,
    ( ~ ( aElement0 @ xv )
    | ~ ( aElement0 @ xu )
    | ~ ( aElementOf0 @ ( sdtasdt0 @ xz @ xx ) @ ( slsdtgt0 @ xc ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl338]) ).

thf(m__1979,axiom,
    ( ( ( sdtasdt0 @ xc @ xv )
      = xy )
    & ( aElement0 @ xv ) ) ).

thf(zip_derived_cl30,plain,
    aElement0 @ xv,
    inference(cnf,[status(esa)],[m__1979]) ).

thf(m__1956,axiom,
    ( ( ( sdtasdt0 @ xc @ xu )
      = xx )
    & ( aElement0 @ xu ) ) ).

thf(zip_derived_cl28,plain,
    aElement0 @ xu,
    inference(cnf,[status(esa)],[m__1956]) ).

thf(zip_derived_cl346,plain,
    ~ ( aElementOf0 @ ( sdtasdt0 @ xz @ xx ) @ ( slsdtgt0 @ xc ) ),
    inference(demod,[status(thm)],[zip_derived_cl345,zip_derived_cl30,zip_derived_cl28]) ).

thf(zip_derived_cl354,plain,
    ( ~ ( aElement0 @ ( sdtasdt0 @ xu @ xz ) )
    | ( ( slsdtgt0 @ xc )
     != ( slsdtgt0 @ xc ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl346]) ).

thf(zip_derived_cl360,plain,
    ~ ( aElement0 @ ( sdtasdt0 @ xu @ xz ) ),
    inference(simplify,[status(thm)],[zip_derived_cl354]) ).

thf(zip_derived_cl389,plain,
    ( ~ ( aElement0 @ xz )
    | ~ ( aElement0 @ xu ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl360]) ).

thf(m__1933,axiom,
    ( ( aElement0 @ xz )
    & ( aElementOf0 @ xy @ ( slsdtgt0 @ xc ) )
    & ( aElementOf0 @ xx @ ( slsdtgt0 @ xc ) ) ) ).

thf(zip_derived_cl24,plain,
    aElement0 @ xz,
    inference(cnf,[status(esa)],[m__1933]) ).

thf(zip_derived_cl28_003,plain,
    aElement0 @ xu,
    inference(cnf,[status(esa)],[m__1956]) ).

thf(zip_derived_cl390,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl389,zip_derived_cl24,zip_derived_cl28]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : RNG105+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.194GYDHNYX true
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Aug 27 02:42:23 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.63  % Total configuration time : 435
% 0.20/0.63  % Estimated wc time : 1092
% 0.20/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.88/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.88/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.88/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.29/0.84  % Solved by fo/fo4.sh.
% 1.29/0.84  % done 112 iterations in 0.060s
% 1.29/0.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.29/0.84  % SZS output start Refutation
% See solution above
% 1.29/0.84  
% 1.29/0.84  
% 1.29/0.84  % Terminating...
% 1.38/0.94  % Runner terminated.
% 1.38/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------