TSTP Solution File: RNG077+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG077+1 : 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.DNNYglWWIM true

% Computer : n006.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 14:06:43 EDT 2023

% Result   : Theorem 0.82s 0.80s
% Output   : Refutation 0.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   39 (  15 unt;  11 typ;   0 def)
%            Number of atoms       :   56 (  20 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  261 (  26   ~;  17   |;   9   &; 207   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   15 (   0   ^;  15   !;   0   ?;  15   :)

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

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

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

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

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

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

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

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

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

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

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

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

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mMulSc]) ).

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

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
        = ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mArith]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtasdt0 @ X1 @ X0 )
        = ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mArith]) ).

thf(zip_derived_cl631,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtasdt0 @ X1 @ X0 )
        = ( sdtasdt0 @ X0 @ X1 ) )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl25]) ).

thf(m__,conjecture,
    ( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
    = ( sdtpldt0 @ ( sdtasdt0 @ xE @ xH ) @ ( sdtpldt0 @ ( sdtasdt0 @ xH @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
   != ( sdtpldt0 @ ( sdtasdt0 @ xE @ xH ) @ ( sdtpldt0 @ ( sdtasdt0 @ xH @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl92,plain,
    ( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
   != ( sdtpldt0 @ ( sdtasdt0 @ xE @ xH ) @ ( sdtpldt0 @ ( sdtasdt0 @ xH @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl83,plain,
    ( xP
    = ( sdtasdt0 @ xE @ xH ) ),
    inference(cnf,[status(esa)],[m__1911]) ).

thf(zip_derived_cl414,plain,
    ( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
   != ( sdtpldt0 @ xP @ ( sdtpldt0 @ ( sdtasdt0 @ xH @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl83]) ).

thf(zip_derived_cl642,plain,
    ( ( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
     != ( sdtpldt0 @ xP @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xH ) @ ( sdtasdt0 @ xH @ xH ) ) ) )
    | ~ ( aScalar0 @ xH )
    | ~ ( aScalar0 @ xE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl631,zip_derived_cl414]) ).

thf(zip_derived_cl83_001,plain,
    ( xP
    = ( sdtasdt0 @ xE @ xH ) ),
    inference(cnf,[status(esa)],[m__1911]) ).

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

thf(zip_derived_cl80,plain,
    aScalar0 @ xH,
    inference(cnf,[status(esa)],[m__1873]) ).

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

thf(zip_derived_cl74,plain,
    aScalar0 @ xE,
    inference(cnf,[status(esa)],[m__1820]) ).

thf(zip_derived_cl668,plain,
    ( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
   != ( sdtpldt0 @ xP @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl642,zip_derived_cl83,zip_derived_cl80,zip_derived_cl74]) ).

thf(zip_derived_cl684,plain,
    ( ( ( sdtpldt0 @ xP @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) )
     != ( sdtpldt0 @ xP @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xH @ xH ) )
    | ~ ( aScalar0 @ xP )
    | ~ ( aScalar0 @ xP ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl668]) ).

thf(zip_derived_cl84,plain,
    aScalar0 @ xP,
    inference(cnf,[status(esa)],[m__1911]) ).

thf(zip_derived_cl84_002,plain,
    aScalar0 @ xP,
    inference(cnf,[status(esa)],[m__1911]) ).

thf(zip_derived_cl689,plain,
    ( ( ( sdtpldt0 @ xP @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) )
     != ( sdtpldt0 @ xP @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xH @ xH ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl684,zip_derived_cl84,zip_derived_cl84]) ).

thf(zip_derived_cl690,plain,
    ~ ( aScalar0 @ ( sdtasdt0 @ xH @ xH ) ),
    inference(simplify,[status(thm)],[zip_derived_cl689]) ).

thf(zip_derived_cl696,plain,
    ( ~ ( aScalar0 @ xH )
    | ~ ( aScalar0 @ xH ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl690]) ).

thf(zip_derived_cl80_003,plain,
    aScalar0 @ xH,
    inference(cnf,[status(esa)],[m__1873]) ).

thf(zip_derived_cl80_004,plain,
    aScalar0 @ xH,
    inference(cnf,[status(esa)],[m__1873]) ).

thf(zip_derived_cl699,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl696,zip_derived_cl80,zip_derived_cl80]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : RNG077+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DNNYglWWIM true
% 0.15/0.35  % Computer : n006.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 03:05:52 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.35  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.82/0.80  % Solved by fo/fo3_bce.sh.
% 0.82/0.80  % BCE start: 93
% 0.82/0.80  % BCE eliminated: 0
% 0.82/0.80  % PE start: 93
% 0.82/0.80  logic: eq
% 0.82/0.80  % PE eliminated: 1
% 0.82/0.80  % done 86 iterations in 0.046s
% 0.82/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.82/0.80  % SZS output start Refutation
% See solution above
% 0.82/0.80  
% 0.82/0.80  
% 0.82/0.80  % Terminating...
% 1.41/0.84  % Runner terminated.
% 1.41/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------