TSTP Solution File: RNG079+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG079+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JokI4EkOCe true

% Computer : n020.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 14:06:45 EDT 2023

% Result   : Theorem 1.32s 0.87s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   54 (  22 unt;  18 typ;   0 def)
%            Number of atoms       :   65 (  18 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  369 (  21   ~;  16   |;  12   &; 319   @)
%                                         (   0 <=>;   1  =>;   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     :   20 (  18 usr;  14 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(xP_type,type,
    xP: $i ).

thf(xH_type,type,
    xH: $i ).

thf(xG_type,type,
    xG: $i ).

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

thf(xD_type,type,
    xD: $i ).

thf(xA_type,type,
    xA: $i ).

thf(xp_type,type,
    xp: $i ).

thf(xB_type,type,
    xB: $i ).

thf(xS_type,type,
    xS: $i ).

thf(xF_type,type,
    xF: $i ).

thf(xC_type,type,
    xC: $i ).

thf(xE_type,type,
    xE: $i ).

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

thf(aScalar0_type,type,
    aScalar0: $i > $o ).

thf(sdtlseqdt0_type,type,
    sdtlseqdt0: $i > $i > $o ).

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

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

thf(sdtasasdt0_type,type,
    sdtasasdt0: $i > $i > $i ).

thf(mDistr2,axiom,
    ! [W0: $i,W1: $i,W2: $i,W3: $i] :
      ( ( ( aScalar0 @ W0 )
        & ( aScalar0 @ W1 )
        & ( aScalar0 @ W2 )
        & ( aScalar0 @ W3 ) )
     => ( ( sdtasdt0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt0 @ W2 @ W3 ) )
        = ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W2 ) @ ( sdtasdt0 @ W0 @ W3 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W2 ) @ ( sdtasdt0 @ W1 @ W3 ) ) ) ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X3 )
      | ( ( sdtasdt0 @ ( sdtpldt0 @ X2 @ X1 ) @ ( sdtpldt0 @ X0 @ X3 ) )
        = ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ X2 @ X0 ) @ ( sdtasdt0 @ X2 @ X3 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X3 ) ) ) ) ),
    inference(cnf,[status(esa)],[mDistr2]) ).

thf(zip_derived_cl28_001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X3 )
      | ( ( sdtasdt0 @ ( sdtpldt0 @ X2 @ X1 ) @ ( sdtpldt0 @ X0 @ X3 ) )
        = ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ X2 @ X0 ) @ ( sdtasdt0 @ X2 @ X3 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X3 ) ) ) ) ),
    inference(cnf,[status(esa)],[mDistr2]) ).

thf(m__,conjecture,
    sdtlseqdt0 @ ( sdtasdt0 @ ( sdtpldt0 @ xE @ xH ) @ ( sdtpldt0 @ xE @ xH ) ) @ ( sdtasdt0 @ ( sdtpldt0 @ xC @ xF ) @ ( sdtpldt0 @ xD @ xG ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtpldt0 @ xE @ xH ) @ ( sdtpldt0 @ xE @ xH ) ) @ ( sdtasdt0 @ ( sdtpldt0 @ xC @ xF ) @ ( sdtpldt0 @ xD @ xG ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl98,plain,
    ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtpldt0 @ xE @ xH ) @ ( sdtpldt0 @ xE @ xH ) ) @ ( sdtasdt0 @ ( sdtpldt0 @ xC @ xF ) @ ( sdtpldt0 @ xD @ xG ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1093,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtpldt0 @ xE @ xH ) @ ( sdtpldt0 @ xE @ xH ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtasdt0 @ xC @ xG ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xF @ xD ) @ ( sdtasdt0 @ xF @ xG ) ) ) )
    | ~ ( aScalar0 @ xG )
    | ~ ( aScalar0 @ xC )
    | ~ ( aScalar0 @ xF )
    | ~ ( aScalar0 @ xD ) ),
    inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl98]) ).

thf(m__1892,axiom,
    ( ( xR
      = ( sdtasdt0 @ xC @ xG ) )
    & ( aScalar0 @ xR ) ) ).

thf(zip_derived_cl85,plain,
    ( xR
    = ( sdtasdt0 @ xC @ xG ) ),
    inference(cnf,[status(esa)],[m__1892]) ).

thf(m__1930,axiom,
    ( ( xS
      = ( sdtasdt0 @ xF @ xD ) )
    & ( aScalar0 @ xS ) ) ).

thf(zip_derived_cl89,plain,
    ( xS
    = ( sdtasdt0 @ xF @ xD ) ),
    inference(cnf,[status(esa)],[m__1930]) ).

thf(m__1854,axiom,
    ( ( xG
      = ( sdtasdt0 @ xB @ xB ) )
    & ( aScalar0 @ xG ) ) ).

thf(zip_derived_cl82,plain,
    aScalar0 @ xG,
    inference(cnf,[status(esa)],[m__1854]) ).

thf(m__1783,axiom,
    ( ( xC
      = ( sdtasasdt0 @ xp @ xp ) )
    & ( aScalar0 @ xC ) ) ).

thf(zip_derived_cl74,plain,
    aScalar0 @ xC,
    inference(cnf,[status(esa)],[m__1783]) ).

thf(m__1837,axiom,
    ( ( xF
      = ( sdtasdt0 @ xA @ xA ) )
    & ( aScalar0 @ xF ) ) ).

thf(zip_derived_cl80,plain,
    aScalar0 @ xF,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(m__1800,axiom,
    ( ( xD
      = ( sdtasasdt0 @ xq @ xq ) )
    & ( aScalar0 @ xD ) ) ).

thf(zip_derived_cl76,plain,
    aScalar0 @ xD,
    inference(cnf,[status(esa)],[m__1800]) ).

thf(zip_derived_cl1143,plain,
    ~ ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtpldt0 @ xE @ xH ) @ ( sdtpldt0 @ xE @ xH ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ xR ) @ ( sdtpldt0 @ xS @ ( sdtasdt0 @ xF @ xG ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1093,zip_derived_cl85,zip_derived_cl89,zip_derived_cl82,zip_derived_cl74,zip_derived_cl80,zip_derived_cl76]) ).

thf(zip_derived_cl1155,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtasdt0 @ xE @ xH ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xH @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ xR ) @ ( sdtpldt0 @ xS @ ( sdtasdt0 @ xF @ xG ) ) ) )
    | ~ ( aScalar0 @ xH )
    | ~ ( aScalar0 @ xE )
    | ~ ( aScalar0 @ xH )
    | ~ ( aScalar0 @ xE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl1143]) ).

thf(m__1911,axiom,
    ( ( xP
      = ( sdtasdt0 @ xE @ xH ) )
    & ( aScalar0 @ xP ) ) ).

thf(zip_derived_cl87,plain,
    ( xP
    = ( sdtasdt0 @ xE @ xH ) ),
    inference(cnf,[status(esa)],[m__1911]) ).

thf(m__2905,axiom,
    sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtasdt0 @ xE @ xH ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xH @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtasdt0 @ xC @ xG ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xF @ xD ) @ ( sdtasdt0 @ xF @ xG ) ) ) ).

thf(zip_derived_cl97,plain,
    sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtasdt0 @ xE @ xH ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xH @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtasdt0 @ xC @ xG ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xF @ xD ) @ ( sdtasdt0 @ xF @ xG ) ) ),
    inference(cnf,[status(esa)],[m__2905]) ).

thf(zip_derived_cl87_002,plain,
    ( xP
    = ( sdtasdt0 @ xE @ xH ) ),
    inference(cnf,[status(esa)],[m__1911]) ).

thf(zip_derived_cl85_003,plain,
    ( xR
    = ( sdtasdt0 @ xC @ xG ) ),
    inference(cnf,[status(esa)],[m__1892]) ).

thf(zip_derived_cl89_004,plain,
    ( xS
    = ( sdtasdt0 @ xF @ xD ) ),
    inference(cnf,[status(esa)],[m__1930]) ).

thf(zip_derived_cl464,plain,
    sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ ( sdtasdt0 @ xH @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ xR ) @ ( sdtpldt0 @ xS @ ( sdtasdt0 @ xF @ xG ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl87,zip_derived_cl85,zip_derived_cl89]) ).

thf(m__1873,axiom,
    ( ( xH
      = ( sdtasdt0 @ xA @ xB ) )
    & ( aScalar0 @ xH ) ) ).

thf(zip_derived_cl84,plain,
    aScalar0 @ xH,
    inference(cnf,[status(esa)],[m__1873]) ).

thf(m__1820,axiom,
    ( ( xE
      = ( sdtasasdt0 @ xp @ xq ) )
    & ( aScalar0 @ xE ) ) ).

thf(zip_derived_cl78,plain,
    aScalar0 @ xE,
    inference(cnf,[status(esa)],[m__1820]) ).

thf(zip_derived_cl84_005,plain,
    aScalar0 @ xH,
    inference(cnf,[status(esa)],[m__1873]) ).

thf(zip_derived_cl78_006,plain,
    aScalar0 @ xE,
    inference(cnf,[status(esa)],[m__1820]) ).

thf(zip_derived_cl1163,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1155,zip_derived_cl87,zip_derived_cl464,zip_derived_cl84,zip_derived_cl78,zip_derived_cl84,zip_derived_cl78]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : RNG079+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JokI4EkOCe true
% 0.13/0.36  % Computer : n020.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Sun Aug 27 02:59:59 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.32/0.87  % Solved by fo/fo3_bce.sh.
% 1.32/0.87  % BCE start: 99
% 1.32/0.87  % BCE eliminated: 0
% 1.32/0.87  % PE start: 99
% 1.32/0.87  logic: eq
% 1.32/0.87  % PE eliminated: 1
% 1.32/0.87  % done 128 iterations in 0.096s
% 1.32/0.87  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.32/0.87  % SZS output start Refutation
% See solution above
% 1.32/0.87  
% 1.32/0.87  
% 1.32/0.88  % Terminating...
% 1.46/0.96  % Runner terminated.
% 1.46/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------