TSTP Solution File: COM021+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COM021+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.iaNbf5sJ5A true

% Computer : n012.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 18:49:10 EDT 2023

% Result   : Theorem 0.88s 0.77s
% Output   : Refutation 0.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   53 (  22 unt;  14 typ;   0 def)
%            Number of atoms       :   96 (   7 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  266 (  42   ~;  38   |;  13   &; 167   @)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   8 con; 0-3 aty)
%            Number of variables   :   32 (   0   ^;  30   !;   2   ?;  32   :)

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

thf(aNormalFormOfIn0_type,type,
    aNormalFormOfIn0: $i > $i > $i > $o ).

thf(aRewritingSystem0_type,type,
    aRewritingSystem0: $i > $o ).

thf(sdtmndtasgtdt0_type,type,
    sdtmndtasgtdt0: $i > $i > $i > $o ).

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

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

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

thf(xd_type,type,
    xd: $i ).

thf(aReductOfIn0_type,type,
    aReductOfIn0: $i > $i > $i > $o ).

thf(xR_type,type,
    xR: $i ).

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

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

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

thf(sdtmndtplgtdt0_type,type,
    sdtmndtplgtdt0: $i > $i > $i > $o ).

thf(m__850,axiom,
    ( ( sdtmndtasgtdt0 @ xd @ xR @ xx )
    & ( sdtmndtasgtdt0 @ xb @ xR @ xx )
    & ( aElement0 @ xx ) ) ).

thf(zip_derived_cl65,plain,
    sdtmndtasgtdt0 @ xb @ xR @ xx,
    inference(cnf,[status(esa)],[m__850]) ).

thf(zip_derived_cl64,plain,
    sdtmndtasgtdt0 @ xd @ xR @ xx,
    inference(cnf,[status(esa)],[m__850]) ).

thf(mTCRDef,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aRewritingSystem0 @ W1 )
        & ( aElement0 @ W2 ) )
     => ( ( sdtmndtasgtdt0 @ W0 @ W1 @ W2 )
      <=> ( ( W0 = W2 )
          | ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 ) ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aRewritingSystem0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 )
      | ( X1 = X2 )
      | ~ ( sdtmndtasgtdt0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[mTCRDef]) ).

thf(mTCDef,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aRewritingSystem0 @ W1 )
        & ( aElement0 @ W2 ) )
     => ( ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 )
      <=> ( ( aReductOfIn0 @ W2 @ W0 @ W1 )
          | ? [W3: $i] :
              ( ( sdtmndtplgtdt0 @ W3 @ W1 @ W2 )
              & ( aReductOfIn0 @ W3 @ W0 @ W1 )
              & ( aElement0 @ W3 ) ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aRewritingSystem0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( aReductOfIn0 @ ( sk_ @ X2 @ X0 @ X1 ) @ X1 @ X0 )
      | ( aReductOfIn0 @ X2 @ X1 @ X0 )
      | ~ ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[mTCDef]) ).

thf(m__818,axiom,
    aNormalFormOfIn0 @ xd @ xw @ xR ).

thf(zip_derived_cl63,plain,
    aNormalFormOfIn0 @ xd @ xw @ xR,
    inference(cnf,[status(esa)],[m__818]) ).

thf(mNFRDef,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aRewritingSystem0 @ W1 ) )
     => ! [W2: $i] :
          ( ( aNormalFormOfIn0 @ W2 @ W0 @ W1 )
        <=> ( ( aElement0 @ W2 )
            & ( sdtmndtasgtdt0 @ W0 @ W1 @ W2 )
            & ~ ? [W3: $i] : ( aReductOfIn0 @ W3 @ W2 @ W1 ) ) ) ) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aRewritingSystem0 @ X1 )
      | ~ ( aReductOfIn0 @ X2 @ X3 @ X1 )
      | ~ ( aNormalFormOfIn0 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mNFRDef]) ).

thf(zip_derived_cl548,plain,
    ! [X0: $i] :
      ( ~ ( aReductOfIn0 @ X0 @ xd @ xR )
      | ~ ( aRewritingSystem0 @ xR )
      | ~ ( aElement0 @ xw ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl40]) ).

thf(m__656,axiom,
    aRewritingSystem0 @ xR ).

thf(zip_derived_cl43,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__656]) ).

thf(m__799,axiom,
    ( ( sdtmndtasgtdt0 @ xv @ xR @ xw )
    & ( sdtmndtasgtdt0 @ xu @ xR @ xw )
    & ( aElement0 @ xw ) ) ).

thf(zip_derived_cl62,plain,
    aElement0 @ xw,
    inference(cnf,[status(esa)],[m__799]) ).

thf(zip_derived_cl611,plain,
    ! [X0: $i] :
      ~ ( aReductOfIn0 @ X0 @ xd @ xR ),
    inference(demod,[status(thm)],[zip_derived_cl548,zip_derived_cl43,zip_derived_cl62]) ).

thf(zip_derived_cl612,plain,
    ! [X0: $i] :
      ( ~ ( sdtmndtplgtdt0 @ xd @ xR @ X0 )
      | ( aReductOfIn0 @ X0 @ xd @ xR )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ xd )
      | ~ ( aRewritingSystem0 @ xR ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl611]) ).

thf(zip_derived_cl611_001,plain,
    ! [X0: $i] :
      ~ ( aReductOfIn0 @ X0 @ xd @ xR ),
    inference(demod,[status(thm)],[zip_derived_cl548,zip_derived_cl43,zip_derived_cl62]) ).

thf(zip_derived_cl63_002,plain,
    aNormalFormOfIn0 @ xd @ xw @ xR,
    inference(cnf,[status(esa)],[m__818]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aRewritingSystem0 @ X1 )
      | ( aElement0 @ X2 )
      | ~ ( aNormalFormOfIn0 @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mNFRDef]) ).

thf(zip_derived_cl546,plain,
    ( ( aElement0 @ xd )
    | ~ ( aRewritingSystem0 @ xR )
    | ~ ( aElement0 @ xw ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl38]) ).

thf(zip_derived_cl43_003,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__656]) ).

thf(zip_derived_cl62_004,plain,
    aElement0 @ xw,
    inference(cnf,[status(esa)],[m__799]) ).

thf(zip_derived_cl610,plain,
    aElement0 @ xd,
    inference(demod,[status(thm)],[zip_derived_cl546,zip_derived_cl43,zip_derived_cl62]) ).

thf(zip_derived_cl43_005,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__656]) ).

thf(zip_derived_cl613,plain,
    ! [X0: $i] :
      ( ~ ( sdtmndtplgtdt0 @ xd @ xR @ X0 )
      | ~ ( aElement0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl612,zip_derived_cl611,zip_derived_cl610,zip_derived_cl43]) ).

thf(zip_derived_cl637,plain,
    ! [X0: $i] :
      ( ~ ( sdtmndtasgtdt0 @ xd @ xR @ X0 )
      | ( xd = X0 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ xd )
      | ~ ( aRewritingSystem0 @ xR )
      | ~ ( aElement0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl613]) ).

thf(zip_derived_cl610_006,plain,
    aElement0 @ xd,
    inference(demod,[status(thm)],[zip_derived_cl546,zip_derived_cl43,zip_derived_cl62]) ).

thf(zip_derived_cl43_007,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__656]) ).

thf(zip_derived_cl642,plain,
    ! [X0: $i] :
      ( ~ ( sdtmndtasgtdt0 @ xd @ xR @ X0 )
      | ( xd = X0 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl637,zip_derived_cl610,zip_derived_cl43]) ).

thf(zip_derived_cl643,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( xd = X0 )
      | ~ ( sdtmndtasgtdt0 @ xd @ xR @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl642]) ).

thf(zip_derived_cl680,plain,
    ( ~ ( aElement0 @ xx )
    | ( xd = xx ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl643]) ).

thf(zip_derived_cl66,plain,
    aElement0 @ xx,
    inference(cnf,[status(esa)],[m__850]) ).

thf(zip_derived_cl682,plain,
    xd = xx,
    inference(demod,[status(thm)],[zip_derived_cl680,zip_derived_cl66]) ).

thf(m__,conjecture,
    sdtmndtasgtdt0 @ xb @ xR @ xd ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( sdtmndtasgtdt0 @ xb @ xR @ xd ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl67,plain,
    ~ ( sdtmndtasgtdt0 @ xb @ xR @ xd ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl684,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl682,zip_derived_cl67]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : COM021+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.iaNbf5sJ5A true
% 0.13/0.35  % Computer : n012.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 : Tue Aug 29 13:04:09 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
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.88/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 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/fo1_av.sh running for 75s
% 0.88/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.88/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.88/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.88/0.77  % Solved by fo/fo6_bce.sh.
% 0.88/0.77  % BCE start: 68
% 0.88/0.77  % BCE eliminated: 0
% 0.88/0.77  % PE start: 68
% 0.88/0.77  logic: eq
% 0.88/0.77  % PE eliminated: 0
% 0.88/0.77  % done 51 iterations in 0.046s
% 0.88/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.88/0.77  % SZS output start Refutation
% See solution above
% 0.88/0.77  
% 0.88/0.77  
% 0.88/0.77  % Terminating...
% 1.41/0.86  % Runner terminated.
% 1.41/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------