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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG077+2 : 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.9sdxAc7Uj2 true

% Computer : n016.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 04:50:27 PM UTC 2025

% Result   : Theorem 0.48s 0.82s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   29 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :   57 (  21 equ;   0 cnn)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  250 (  25   ~;  17   |;   9   &; 197   @)
%                                         (   0 <=>;   2  =>;   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   :   15 (   0   ^;  15   !;   0   ?;  15   :)

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

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

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

thf(xp_type,type,
    xp: $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(xq_type,type,
    xq: $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_cl1,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_cl2,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(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_cl21,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_cl16,plain,
    ( xP
    = ( sdtasdt0 @ xE @ xH ) ),
    inference(cnf,[status(esa)],[m__1911]) ).

thf(zip_derived_cl50,plain,
    ( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
   != ( sdtpldt0 @ xP @ ( sdtpldt0 @ ( sdtasdt0 @ xH @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl16]) ).

thf(zip_derived_cl5,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_cl23,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtasdt0 @ X1 @ X0 )
        = ( sdtasdt0 @ X0 @ X1 ) )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl16_001,plain,
    ( xP
    = ( sdtasdt0 @ xE @ xH ) ),
    inference(cnf,[status(esa)],[m__1911]) ).

thf(zip_derived_cl52,plain,
    ( ( xP
      = ( sdtasdt0 @ xH @ xE ) )
    | ~ ( aScalar0 @ xE )
    | ~ ( aScalar0 @ xH ) ),
    inference('sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl16]) ).

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

thf(zip_derived_cl13,plain,
    aScalar0 @ xE,
    inference(cnf,[status(esa)],[m__1820]) ).

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

thf(zip_derived_cl15,plain,
    aScalar0 @ xH,
    inference(cnf,[status(esa)],[m__1873]) ).

thf(zip_derived_cl54,plain,
    ( xP
    = ( sdtasdt0 @ xH @ xE ) ),
    inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl13,zip_derived_cl15]) ).

thf(zip_derived_cl84,plain,
    ( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
   != ( sdtpldt0 @ xP @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl54]) ).

thf(zip_derived_cl204,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_cl2,zip_derived_cl84]) ).

thf(zip_derived_cl17,plain,
    aScalar0 @ xP,
    inference(cnf,[status(esa)],[m__1911]) ).

thf(zip_derived_cl17_002,plain,
    aScalar0 @ xP,
    inference(cnf,[status(esa)],[m__1911]) ).

thf(zip_derived_cl217,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_cl204,zip_derived_cl17,zip_derived_cl17]) ).

thf(zip_derived_cl218,plain,
    ~ ( aScalar0 @ ( sdtasdt0 @ xH @ xH ) ),
    inference(simplify,[status(thm)],[zip_derived_cl217]) ).

thf(zip_derived_cl219,plain,
    ( ~ ( aScalar0 @ xH )
    | ~ ( aScalar0 @ xH ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl218]) ).

thf(zip_derived_cl15_003,plain,
    aScalar0 @ xH,
    inference(cnf,[status(esa)],[m__1873]) ).

thf(zip_derived_cl15_004,plain,
    aScalar0 @ xH,
    inference(cnf,[status(esa)],[m__1873]) ).

thf(zip_derived_cl224,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl219,zip_derived_cl15,zip_derived_cl15]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem  : RNG077+2 : TPTP v9.2.0. Released v4.0.0.
% 0.10/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9sdxAc7Uj2 true
% 0.12/0.35  % Computer : n016.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Wed Oct  1 17:24:23 EDT 2025
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.36  % Running in FO mode
% 0.45/0.61  % Total configuration time : 435
% 0.45/0.61  % Estimated wc time : 1092
% 0.45/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.82  % Solved by fo/fo4.sh.
% 0.48/0.82  % done 62 iterations in 0.046s
% 0.48/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.48/0.82  % SZS output start Refutation
% See solution above
% 0.48/0.82  
% 0.48/0.82  
% 0.48/0.82  % Terminating...
% 1.90/0.95  % Runner terminated.
% 1.90/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------