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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG061+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BBdGLaAo3n true

% Computer : n005.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 Oct  2 04:50:22 PM UTC 2025

% Result   : Theorem 0.53s 0.75s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   33 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :   67 (  20 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  332 (  23   ~;  21   |;  10   &; 275   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   17 (   0   ^;  17   !;   0   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
thf(xN_type,type,
    xN: $i ).

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

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

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

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

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

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

thf(xG_type,type,
    xG: $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(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_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtpldt0 @ X1 @ X0 )
        = ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mArith]) ).

thf(zip_derived_cl530,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtpldt0 @ X1 @ X0 )
        = ( sdtpldt0 @ X0 @ X1 ) )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl23]) ).

thf(m__2180,axiom,
    ( ( sdtasdt0 @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) )
    = ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) ) ) ).

thf(zip_derived_cl94,plain,
    ( ( sdtasdt0 @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) )
    = ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
    inference(cnf,[status(esa)],[m__2180]) ).

thf(zip_derived_cl538,plain,
    ( ~ ( aScalar0 @ ( smndt0 @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ( ( sdtasdt0 @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) )
      = ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ ( smndt0 @ xN ) ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl94]) ).

thf(mNegSc,axiom,
    ! [W0: $i] :
      ( ( aScalar0 @ W0 )
     => ( aScalar0 @ ( smndt0 @ W0 ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ( aScalar0 @ ( smndt0 @ X0 ) )
      | ~ ( aScalar0 @ X0 ) ),
    inference(cnf,[status(esa)],[mNegSc]) ).

thf(m__2144,axiom,
    ( ( ( sdtasdt0 @ ( smndt0 @ xS ) @ ( smndt0 @ xS ) )
      = ( sdtasdt0 @ xS @ xS ) )
    & ( ( sdtasdt0 @ ( smndt0 @ xS ) @ xR )
      = ( smndt0 @ xN ) )
    & ( ( sdtasdt0 @ xR @ ( smndt0 @ xS ) )
      = ( smndt0 @ xN ) ) ) ).

thf(zip_derived_cl92,plain,
    ( ( sdtasdt0 @ ( smndt0 @ xS ) @ xR )
    = ( smndt0 @ xN ) ),
    inference(cnf,[status(esa)],[m__2144]) ).

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(zip_derived_cl424,plain,
    ( ~ ( aScalar0 @ ( smndt0 @ xS ) )
    | ~ ( aScalar0 @ xR )
    | ( aScalar0 @ ( smndt0 @ xN ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl92,zip_derived_cl12]) ).

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

thf(zip_derived_cl82,plain,
    aScalar0 @ xR,
    inference(cnf,[status(esa)],[m__1892]) ).

thf(zip_derived_cl429,plain,
    ( ~ ( aScalar0 @ ( smndt0 @ xS ) )
    | ( aScalar0 @ ( smndt0 @ xN ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl424,zip_derived_cl82]) ).

thf(zip_derived_cl433,plain,
    ( ~ ( aScalar0 @ xS )
    | ( aScalar0 @ ( smndt0 @ xN ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl429]) ).

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

thf(zip_derived_cl86,plain,
    aScalar0 @ xS,
    inference(cnf,[status(esa)],[m__1930]) ).

thf(zip_derived_cl434,plain,
    aScalar0 @ ( smndt0 @ xN ),
    inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl86]) ).

thf(zip_derived_cl13_001,plain,
    ! [X0: $i] :
      ( ( aScalar0 @ ( smndt0 @ X0 ) )
      | ~ ( aScalar0 @ X0 ) ),
    inference(cnf,[status(esa)],[mNegSc]) ).

thf(zip_derived_cl91,plain,
    ( ( sdtasdt0 @ ( smndt0 @ xS ) @ ( smndt0 @ xS ) )
    = ( sdtasdt0 @ xS @ xS ) ),
    inference(cnf,[status(esa)],[m__2144]) ).

thf(zip_derived_cl12_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mMulSc]) ).

thf(zip_derived_cl423,plain,
    ( ~ ( aScalar0 @ ( smndt0 @ xS ) )
    | ~ ( aScalar0 @ ( smndt0 @ xS ) )
    | ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl91,zip_derived_cl12]) ).

thf(zip_derived_cl428,plain,
    ( ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( aScalar0 @ ( smndt0 @ xS ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl423]) ).

thf(zip_derived_cl438,plain,
    ( ~ ( aScalar0 @ xS )
    | ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl428]) ).

thf(zip_derived_cl86_003,plain,
    aScalar0 @ xS,
    inference(cnf,[status(esa)],[m__1930]) ).

thf(zip_derived_cl439,plain,
    aScalar0 @ ( sdtasdt0 @ xS @ xS ),
    inference(demod,[status(thm)],[zip_derived_cl438,zip_derived_cl86]) ).

thf(zip_derived_cl556,plain,
    ( ( sdtasdt0 @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) )
    = ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ ( smndt0 @ xN ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl538,zip_derived_cl434,zip_derived_cl439]) ).

thf(m__,conjecture,
    ( ( sdtasdt0 @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) )
    = ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ ( smndt0 @ xN ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( sdtasdt0 @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) )
   != ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ ( smndt0 @ xN ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl95,plain,
    ( ( sdtasdt0 @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) )
   != ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ ( smndt0 @ xN ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl557,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl556,zip_derived_cl95]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : RNG061+1 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BBdGLaAo3n true
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Oct  1 17:22:08 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.53/0.62  % Total configuration time : 435
% 0.53/0.62  % Estimated wc time : 1092
% 0.53/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.75  % Solved by fo/fo6_bce.sh.
% 0.53/0.75  % BCE start: 96
% 0.53/0.75  % BCE eliminated: 0
% 0.53/0.75  % PE start: 96
% 0.53/0.75  logic: eq
% 0.53/0.75  % PE eliminated: 1
% 0.53/0.75  % done 80 iterations in 0.040s
% 0.53/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.75  % SZS output start Refutation
% See solution above
% 0.53/0.75  
% 0.53/0.75  
% 0.53/0.75  % Terminating...
% 0.53/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.84  % Runner terminated.
% 0.58/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------