TSTP Solution File: RNG122+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG122+4 : 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.IeuQUy791z true

% Computer : n015.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 14:07:04 EDT 2023

% Result   : Theorem 1.74s 1.18s
% Output   : Refutation 1.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   68 (  18 unt;  19 typ;   0 def)
%            Number of atoms       :  110 (  28 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  357 (  47   ~;  40   |;  15   &; 249   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  19 usr;  12 con; 0-2 aty)
%            Number of variables   :   34 (   0   ^;  30   !;   4   ?;  34   :)

% Comments : 
%------------------------------------------------------------------------------
thf(smndt0_type,type,
    smndt0: $i > $i ).

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

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

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

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

thf(xq_type,type,
    xq: $i ).

thf(xI_type,type,
    xI: $i ).

thf(sbrdtbr0_type,type,
    sbrdtbr0: $i > $i ).

thf(xa_type,type,
    xa: $i ).

thf(sz00_type,type,
    sz00: $i ).

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

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

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

thf(iLess0_type,type,
    iLess0: $i > $i > $o ).

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

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

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

thf(xb_type,type,
    xb: $i ).

thf(xr_type,type,
    xr: $i ).

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

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aElement0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB_02]) ).

thf(mAddZero,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ( ( ( sdtpldt0 @ W0 @ sz00 )
          = W0 )
        & ( W0
          = ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sdtpldt0 @ sz00 @ X0 ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mAddZero]) ).

thf(m__2666,axiom,
    ( ( ( iLess0 @ ( sbrdtbr0 @ xr ) @ ( sbrdtbr0 @ xu ) )
      | ( xr = sz00 ) )
    & ( xb
      = ( sdtpldt0 @ ( sdtasdt0 @ xq @ xu ) @ xr ) )
    & ( aElement0 @ xr )
    & ( aElement0 @ xq ) ) ).

thf(zip_derived_cl27,plain,
    ( xb
    = ( sdtpldt0 @ ( sdtasdt0 @ xq @ xu ) @ xr ) ),
    inference(cnf,[status(esa)],[m__2666]) ).

thf(mAddInvr,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ( ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
          = sz00 )
        & ( sz00
          = ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( sz00
        = ( sdtpldt0 @ ( smndt0 @ X0 ) @ X0 ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mAddInvr]) ).

thf(mAddAsso,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 )
        & ( aElement0 @ W2 ) )
     => ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
        = ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
        = ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mAddAsso]) ).

thf(zip_derived_cl113,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtpldt0 @ sz00 @ X0 )
        = ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ ( smndt0 @ X1 ) )
      | ~ ( aElement0 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl4]) ).

thf(zip_derived_cl121,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ ( smndt0 @ X1 ) )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( ( sdtpldt0 @ sz00 @ X0 )
        = ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl113]) ).

thf(mSortsU,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ( aElement0 @ ( smndt0 @ W0 ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ( aElement0 @ ( smndt0 @ X0 ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mSortsU]) ).

thf(zip_derived_cl1851,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtpldt0 @ sz00 @ X0 )
        = ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl121,zip_derived_cl0]) ).

thf(zip_derived_cl1889,plain,
    ( ( ( sdtpldt0 @ sz00 @ xr )
      = ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb ) )
    | ~ ( aElement0 @ xr )
    | ~ ( aElement0 @ ( sdtasdt0 @ xq @ xu ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl1851]) ).

thf(m__2690,axiom,
    ( ( aElementOf0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xI )
    & ? [W0: $i,W1: $i] :
        ( ( ( sdtpldt0 @ W0 @ W1 )
          = ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) )
        & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xb ) )
        & ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) ) ) ) ).

thf(zip_derived_cl33,plain,
    ( ( sdtpldt0 @ sk__3 @ sk__4 )
    = ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) ),
    inference(cnf,[status(esa)],[m__2690]) ).

thf(zip_derived_cl28,plain,
    aElement0 @ xr,
    inference(cnf,[status(esa)],[m__2666]) ).

thf(zip_derived_cl1931,plain,
    ( ( ( sdtpldt0 @ sz00 @ xr )
      = ( sdtpldt0 @ ( sdtpldt0 @ sk__3 @ sk__4 ) @ xb ) )
    | ~ ( aElement0 @ ( sdtasdt0 @ xq @ xu ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1889,zip_derived_cl33,zip_derived_cl28]) ).

thf(m__,conjecture,
    ( xr
    = ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( xr
   != ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl35,plain,
    ( xr
   != ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33_001,plain,
    ( ( sdtpldt0 @ sk__3 @ sk__4 )
    = ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) ),
    inference(cnf,[status(esa)],[m__2690]) ).

thf(zip_derived_cl90,plain,
    ( xr
   != ( sdtpldt0 @ ( sdtpldt0 @ sk__3 @ sk__4 ) @ xb ) ),
    inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl33]) ).

thf(zip_derived_cl3433,plain,
    ( ( xr
     != ( sdtpldt0 @ sz00 @ xr ) )
    | ~ ( aElement0 @ ( sdtasdt0 @ xq @ xu ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1931,zip_derived_cl90]) ).

thf(zip_derived_cl3451,plain,
    ( ( xr != xr )
    | ~ ( aElement0 @ xr )
    | ~ ( aElement0 @ ( sdtasdt0 @ xq @ xu ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl3433]) ).

thf(zip_derived_cl28_002,plain,
    aElement0 @ xr,
    inference(cnf,[status(esa)],[m__2666]) ).

thf(zip_derived_cl3452,plain,
    ( ( xr != xr )
    | ~ ( aElement0 @ ( sdtasdt0 @ xq @ xu ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3451,zip_derived_cl28]) ).

thf(zip_derived_cl3453,plain,
    ~ ( aElement0 @ ( sdtasdt0 @ xq @ xu ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3452]) ).

thf(zip_derived_cl3454,plain,
    ( ~ ( aElement0 @ xu )
    | ~ ( aElement0 @ xq ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl3453]) ).

thf(zip_derived_cl2_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aElement0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB_02]) ).

thf(zip_derived_cl2_004,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aElement0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB_02]) ).

thf(m__2416,axiom,
    ? [W0: $i,W1: $i] :
      ( ( xu
        = ( sdtpldt0 @ ( sdtasdt0 @ xa @ W0 ) @ ( sdtasdt0 @ xb @ W1 ) ) )
      & ( aElement0 @ W1 )
      & ( aElement0 @ W0 ) ) ).

thf(zip_derived_cl18,plain,
    ( xu
    = ( sdtpldt0 @ ( sdtasdt0 @ xa @ sk_ ) @ ( sdtasdt0 @ xb @ sk__1 ) ) ),
    inference(cnf,[status(esa)],[m__2416]) ).

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

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aElement0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB]) ).

thf(zip_derived_cl216,plain,
    ( ( aElement0 @ xu )
    | ~ ( aElement0 @ ( sdtasdt0 @ xb @ sk__1 ) )
    | ~ ( aElement0 @ ( sdtasdt0 @ xa @ sk_ ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl1]) ).

thf(zip_derived_cl223,plain,
    ( ~ ( aElement0 @ sk__1 )
    | ~ ( aElement0 @ xb )
    | ~ ( aElement0 @ ( sdtasdt0 @ xa @ sk_ ) )
    | ( aElement0 @ xu ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl216]) ).

thf(zip_derived_cl19,plain,
    aElement0 @ sk__1,
    inference(cnf,[status(esa)],[m__2416]) ).

thf(m__2091,axiom,
    ( ( aElement0 @ xb )
    & ( aElement0 @ xa ) ) ).

thf(zip_derived_cl15,plain,
    aElement0 @ xb,
    inference(cnf,[status(esa)],[m__2091]) ).

thf(zip_derived_cl226,plain,
    ( ~ ( aElement0 @ ( sdtasdt0 @ xa @ sk_ ) )
    | ( aElement0 @ xu ) ),
    inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl19,zip_derived_cl15]) ).

thf(zip_derived_cl231,plain,
    ( ~ ( aElement0 @ sk_ )
    | ~ ( aElement0 @ xa )
    | ( aElement0 @ xu ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl226]) ).

thf(zip_derived_cl20,plain,
    aElement0 @ sk_,
    inference(cnf,[status(esa)],[m__2416]) ).

thf(zip_derived_cl16,plain,
    aElement0 @ xa,
    inference(cnf,[status(esa)],[m__2091]) ).

thf(zip_derived_cl232,plain,
    aElement0 @ xu,
    inference(demod,[status(thm)],[zip_derived_cl231,zip_derived_cl20,zip_derived_cl16]) ).

thf(zip_derived_cl29,plain,
    aElement0 @ xq,
    inference(cnf,[status(esa)],[m__2666]) ).

thf(zip_derived_cl3455,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3454,zip_derived_cl232,zip_derived_cl29]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : RNG122+4 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IeuQUy791z true
% 0.15/0.35  % Computer : n015.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 : Sun Aug 27 02:42:53 EDT 2023
% 0.21/0.35  % CPUTime  : 
% 0.21/0.35  % Running portfolio for 300 s
% 0.21/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.35  % Number of cores: 8
% 0.21/0.35  % Python version: Python 3.6.8
% 0.21/0.36  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.27/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.27/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.74/1.18  % Solved by fo/fo4.sh.
% 1.74/1.18  % done 585 iterations in 0.397s
% 1.74/1.18  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.74/1.18  % SZS output start Refutation
% See solution above
% 1.74/1.18  
% 1.74/1.18  
% 1.74/1.18  % Terminating...
% 2.22/1.27  % Runner terminated.
% 2.22/1.28  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------