TSTP Solution File: RNG099+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG099+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.sztWhUUL0D true

% Computer : n011.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 14:06:53 EDT 2023

% Result   : Theorem 1.46s 0.80s
% Output   : Refutation 1.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   71 (  22 unt;  16 typ;   0 def)
%            Number of atoms       :  132 (   3 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  406 (  62   ~;  53   |;  14   &; 267   @)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   9 con; 0-3 aty)
%            Number of variables   :   40 (   0   ^;  38   !;   2   ?;  40   :)

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

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

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

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

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

thf(sz10_type,type,
    sz10: $i ).

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

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

thf(aIdeal0_type,type,
    aIdeal0: $i > $o ).

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

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

thf(xw_type,type,
    xw: $i ).

thf(xJ_type,type,
    xJ: $i ).

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

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

thf(sdteqdtlpzmzozddtrp0_type,type,
    sdteqdtlpzmzozddtrp0: $i > $i > $i > $o ).

thf(m__1409,axiom,
    aElementOf0 @ ( sdtpldt0 @ xw @ ( smndt0 @ xy ) ) @ xJ ).

thf(zip_derived_cl69,plain,
    aElementOf0 @ ( sdtpldt0 @ xw @ ( smndt0 @ xy ) ) @ xJ,
    inference(cnf,[status(esa)],[m__1409]) ).

thf(mDefMod,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 )
        & ( aIdeal0 @ W2 ) )
     => ( ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W2 )
      <=> ( aElementOf0 @ ( sdtpldt0 @ W0 @ ( smndt0 @ W1 ) ) @ W2 ) ) ) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aIdeal0 @ X2 )
      | ( sdteqdtlpzmzozddtrp0 @ X1 @ X0 @ X2 )
      | ~ ( aElementOf0 @ ( sdtpldt0 @ X1 @ ( smndt0 @ X0 ) ) @ X2 ) ),
    inference(cnf,[status(esa)],[mDefMod]) ).

thf(m__,conjecture,
    ? [W0: $i] :
      ( ( sdteqdtlpzmzozddtrp0 @ W0 @ xy @ xJ )
      & ( sdteqdtlpzmzozddtrp0 @ W0 @ xx @ xI )
      & ( aElement0 @ W0 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [W0: $i] :
        ( ( sdteqdtlpzmzozddtrp0 @ W0 @ xy @ xJ )
        & ( sdteqdtlpzmzozddtrp0 @ W0 @ xx @ xI )
        & ( aElement0 @ W0 ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i] :
      ( ~ ( sdteqdtlpzmzozddtrp0 @ X0 @ xy @ xJ )
      | ~ ( sdteqdtlpzmzozddtrp0 @ X0 @ xx @ xI )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aIdeal0 @ X2 )
      | ( sdteqdtlpzmzozddtrp0 @ X1 @ X0 @ X2 )
      | ~ ( aElementOf0 @ ( sdtpldt0 @ X1 @ ( smndt0 @ X0 ) ) @ X2 ) ),
    inference(cnf,[status(esa)],[mDefMod]) ).

thf(zip_derived_cl753,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( sdteqdtlpzmzozddtrp0 @ X0 @ xx @ xI )
      | ~ ( aElementOf0 @ ( sdtpldt0 @ X0 @ ( smndt0 @ xy ) ) @ xJ )
      | ~ ( aIdeal0 @ xJ )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ xy ) ),
    inference('sup+',[status(thm)],[zip_derived_cl70,zip_derived_cl57]) ).

thf(m__1205,axiom,
    ( ( aIdeal0 @ xJ )
    & ( aIdeal0 @ xI ) ) ).

thf(zip_derived_cl59,plain,
    aIdeal0 @ xJ,
    inference(cnf,[status(esa)],[m__1205]) ).

thf(m__1217,axiom,
    ( ( aElement0 @ xy )
    & ( aElement0 @ xx ) ) ).

thf(zip_derived_cl62,plain,
    aElement0 @ xy,
    inference(cnf,[status(esa)],[m__1217]) ).

thf(zip_derived_cl754,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( sdteqdtlpzmzozddtrp0 @ X0 @ xx @ xI )
      | ~ ( aElementOf0 @ ( sdtpldt0 @ X0 @ ( smndt0 @ xy ) ) @ xJ )
      | ~ ( aElement0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl753,zip_derived_cl59,zip_derived_cl62]) ).

thf(zip_derived_cl755,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ ( sdtpldt0 @ X0 @ ( smndt0 @ xy ) ) @ xJ )
      | ~ ( sdteqdtlpzmzozddtrp0 @ X0 @ xx @ xI )
      | ~ ( aElement0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl754]) ).

thf(zip_derived_cl759,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ ( sdtpldt0 @ X0 @ ( smndt0 @ xx ) ) @ xI )
      | ~ ( aIdeal0 @ xI )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ xx )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElementOf0 @ ( sdtpldt0 @ X0 @ ( smndt0 @ xy ) ) @ xJ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl755]) ).

thf(zip_derived_cl60,plain,
    aIdeal0 @ xI,
    inference(cnf,[status(esa)],[m__1205]) ).

thf(zip_derived_cl63,plain,
    aElement0 @ xx,
    inference(cnf,[status(esa)],[m__1217]) ).

thf(zip_derived_cl760,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ ( sdtpldt0 @ X0 @ ( smndt0 @ xx ) ) @ xI )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElementOf0 @ ( sdtpldt0 @ X0 @ ( smndt0 @ xy ) ) @ xJ ) ),
    inference(demod,[status(thm)],[zip_derived_cl759,zip_derived_cl60,zip_derived_cl63]) ).

thf(zip_derived_cl761,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ ( sdtpldt0 @ X0 @ ( smndt0 @ xy ) ) @ xJ )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElementOf0 @ ( sdtpldt0 @ X0 @ ( smndt0 @ xx ) ) @ xI ) ),
    inference(simplify,[status(thm)],[zip_derived_cl760]) ).

thf(zip_derived_cl815,plain,
    ( ~ ( aElementOf0 @ ( sdtpldt0 @ xw @ ( smndt0 @ xx ) ) @ xI )
    | ~ ( aElement0 @ xw ) ),
    inference('sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl761]) ).

thf(m__1332,axiom,
    aElementOf0 @ ( sdtpldt0 @ xw @ ( smndt0 @ xx ) ) @ xI ).

thf(zip_derived_cl68,plain,
    aElementOf0 @ ( sdtpldt0 @ xw @ ( smndt0 @ xx ) ) @ xI,
    inference(cnf,[status(esa)],[m__1332]) ).

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

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aElement0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB_02]) ).

thf(zip_derived_cl5_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aElement0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB_02]) ).

thf(m__1319,axiom,
    ( xw
    = ( sdtpldt0 @ ( sdtasdt0 @ xy @ xa ) @ ( sdtasdt0 @ xx @ xb ) ) ) ).

thf(zip_derived_cl67,plain,
    ( xw
    = ( sdtpldt0 @ ( sdtasdt0 @ xy @ xa ) @ ( sdtasdt0 @ xx @ xb ) ) ),
    inference(cnf,[status(esa)],[m__1319]) ).

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

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

thf(zip_derived_cl498,plain,
    ( ( aElement0 @ xw )
    | ~ ( aElement0 @ ( sdtasdt0 @ xx @ xb ) )
    | ~ ( aElement0 @ ( sdtasdt0 @ xy @ xa ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl67,zip_derived_cl4]) ).

thf(zip_derived_cl691,plain,
    ( ~ ( aElement0 @ xa )
    | ~ ( aElement0 @ xy )
    | ~ ( aElement0 @ ( sdtasdt0 @ xx @ xb ) )
    | ( aElement0 @ xw ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl498]) ).

thf(mEOfElem,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ! [W1: $i] :
          ( ( aElementOf0 @ W1 @ W0 )
         => ( aElement0 @ W1 ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(m__1294,axiom,
    ( ( ( sdtpldt0 @ xa @ xb )
      = sz10 )
    & ( aElementOf0 @ xb @ xJ )
    & ( aElementOf0 @ xa @ xI ) ) ).

thf(zip_derived_cl66,plain,
    aElementOf0 @ xa @ xI,
    inference(cnf,[status(esa)],[m__1294]) ).

thf(zip_derived_cl447,plain,
    ( ~ ( aSet0 @ xI )
    | ( aElement0 @ xa ) ),
    inference('sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl66]) ).

thf(zip_derived_cl60_003,plain,
    aIdeal0 @ xI,
    inference(cnf,[status(esa)],[m__1205]) ).

thf(mDefIdeal,axiom,
    ! [W0: $i] :
      ( ( aIdeal0 @ W0 )
    <=> ( ( aSet0 @ W0 )
        & ! [W1: $i] :
            ( ( aElementOf0 @ W1 @ W0 )
           => ( ! [W2: $i] :
                  ( ( aElementOf0 @ W2 @ W0 )
                 => ( aElementOf0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 ) )
              & ! [W2: $i] :
                  ( ( aElement0 @ W2 )
                 => ( aElementOf0 @ ( sdtasdt0 @ W2 @ W1 ) @ W0 ) ) ) ) ) ) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i] :
      ( ( aSet0 @ X0 )
      | ~ ( aIdeal0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefIdeal]) ).

thf(zip_derived_cl442,plain,
    aSet0 @ xI,
    inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl47]) ).

thf(zip_derived_cl448,plain,
    aElement0 @ xa,
    inference(demod,[status(thm)],[zip_derived_cl447,zip_derived_cl442]) ).

thf(zip_derived_cl62_004,plain,
    aElement0 @ xy,
    inference(cnf,[status(esa)],[m__1217]) ).

thf(zip_derived_cl692,plain,
    ( ~ ( aElement0 @ ( sdtasdt0 @ xx @ xb ) )
    | ( aElement0 @ xw ) ),
    inference(demod,[status(thm)],[zip_derived_cl691,zip_derived_cl448,zip_derived_cl62]) ).

thf(zip_derived_cl695,plain,
    ( ~ ( aElement0 @ xb )
    | ~ ( aElement0 @ xx )
    | ( aElement0 @ xw ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl692]) ).

thf(zip_derived_cl65,plain,
    aElementOf0 @ xb @ xJ,
    inference(cnf,[status(esa)],[m__1294]) ).

thf(zip_derived_cl25_005,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl444,plain,
    ( ~ ( aSet0 @ xJ )
    | ( aElement0 @ xb ) ),
    inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl25]) ).

thf(zip_derived_cl59_006,plain,
    aIdeal0 @ xJ,
    inference(cnf,[status(esa)],[m__1205]) ).

thf(zip_derived_cl47_007,plain,
    ! [X0: $i] :
      ( ( aSet0 @ X0 )
      | ~ ( aIdeal0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefIdeal]) ).

thf(zip_derived_cl440,plain,
    aSet0 @ xJ,
    inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl47]) ).

thf(zip_derived_cl450,plain,
    aElement0 @ xb,
    inference(demod,[status(thm)],[zip_derived_cl444,zip_derived_cl440]) ).

thf(zip_derived_cl63_008,plain,
    aElement0 @ xx,
    inference(cnf,[status(esa)],[m__1217]) ).

thf(zip_derived_cl696,plain,
    aElement0 @ xw,
    inference(demod,[status(thm)],[zip_derived_cl695,zip_derived_cl450,zip_derived_cl63]) ).

thf(zip_derived_cl823,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl815,zip_derived_cl68,zip_derived_cl696]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12  % Problem  : RNG099+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sztWhUUL0D true
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 01:49:40 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
% 0.13/0.36  % 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
% 0.22/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.46/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.46/0.79  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.46/0.80  % Solved by fo/fo3_bce.sh.
% 1.46/0.80  % BCE start: 71
% 1.46/0.80  % BCE eliminated: 0
% 1.46/0.80  % PE start: 71
% 1.46/0.80  logic: eq
% 1.46/0.80  % PE eliminated: 1
% 1.46/0.80  % done 84 iterations in 0.061s
% 1.46/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.46/0.80  % SZS output start Refutation
% See solution above
% 1.46/0.80  
% 1.46/0.80  
% 1.46/0.81  % Terminating...
% 1.70/0.86  % Runner terminated.
% 1.70/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------