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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COM293_1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zhYTSEMSMa true

% Computer : n015.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 : Tue May  5 06:23:25 PM UTC 2026

% Result   : Theorem 0.55s 0.89s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   89 (  34 equ;   0 cnn)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  396 (  51   ~;  43   |;  11   &; 279   @)
%                                         (   0 <=>;   4  =>;   8  <=;   0 <~>)
%            Maximal formula depth :   15 (  10 avg)
%            Number of types       :    7 (   6 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   8 con; 0-3 aty)
%            Number of variables   :   72 (   0   ^;  72   !;   0   ?;  72   :)

% Comments : 
%------------------------------------------------------------------------------
thf(vQuery_type,type,
    vQuery: $tType ).

thf(vTable_type,type,
    vTable: $tType ).

thf(vTStore_type,type,
    vTStore: $tType ).

thf(vTTContext_type,type,
    vTTContext: $tType ).

thf(vTType_type,type,
    vTType: $tType ).

thf(vOptQuery_type,type,
    vOptQuery: $tType ).

thf(vtvalue_type,type,
    vtvalue: vTable > vQuery ).

thf(vq2_type,type,
    vq2: vQuery ).

thf(vptcheck_type,type,
    vptcheck: vTTContext > vQuery > vTType > $o ).

thf(sk__548_type,type,
    sk__548: vQuery ).

thf(sk__547_type,type,
    sk__547: vTType ).

thf(sk__544_type,type,
    sk__544: vTable ).

thf(vreduce_type,type,
    vreduce: vQuery > vTStore > vOptQuery ).

thf(vq1_type,type,
    vq1: vQuery ).

thf(sk__545_type,type,
    sk__545: vTStore ).

thf(vUnion_type,type,
    vUnion: vQuery > vQuery > vQuery ).

thf(sk__546_type,type,
    sk__546: vTTContext ).

thf(vstoreContextConsistent_type,type,
    vstoreContextConsistent: vTStore > vTTContext > $o ).

thf(vsomeQuery_type,type,
    vsomeQuery: vQuery > vOptQuery ).

thf('Preservation-Union-q1',axiom,
    ! [Vts: vTStore,Vttc: vTTContext,Vtt: vTType,Vqr: vQuery] :
      ( ( ! [Vt0: vTable] :
            ( vq1
           != ( vtvalue @ Vt0 ) )
        & ( vstoreContextConsistent @ Vts @ Vttc )
        & ( vptcheck @ Vttc @ ( vUnion @ vq1 @ vq2 ) @ Vtt )
        & ( ( vreduce @ ( vUnion @ vq1 @ vq2 ) @ Vts )
          = ( vsomeQuery @ Vqr ) ) )
     => ( vptcheck @ Vttc @ Vqr @ Vtt ) ) ).

thf(zip_derived_cl957,plain,
    ! [X0: vTTContext,X1: vTType,X2: vTStore,X3: vQuery] :
      ( ~ ( vptcheck @ X0 @ ( vUnion @ vq1 @ vq2 ) @ X1 )
      | ~ ( vstoreContextConsistent @ X2 @ X0 )
      | ( vq1
        = ( vtvalue @ sk__544 ) )
      | ( ( vreduce @ ( vUnion @ vq1 @ vq2 ) @ X2 )
       != ( vsomeQuery @ X3 ) )
      | ( vptcheck @ X0 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[Preservation-Union-q1]) ).

thf('0',plain,
    ( ( vq1
      = ( vtvalue @ sk__544 ) )
    | ! [X0: vQuery,X1: vTStore,X2: vTTContext,X4: vTType] :
        ( ( ( vreduce @ ( vUnion @ vq1 @ vq2 ) @ X1 )
         != ( vsomeQuery @ X0 ) )
        | ~ ( vstoreContextConsistent @ X1 @ X2 )
        | ~ ( vptcheck @ X2 @ ( vUnion @ vq1 @ vq2 ) @ X4 )
        | ( vptcheck @ X2 @ X0 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl957]) ).

thf('Preservation-Union',conjecture,
    ! [Vts: vTStore,Vttc: vTTContext,Vtt: vTType,Vqr: vQuery] :
      ( ( ( vstoreContextConsistent @ Vts @ Vttc )
        & ( vptcheck @ Vttc @ ( vUnion @ vq1 @ vq2 ) @ Vtt )
        & ( ( vreduce @ ( vUnion @ vq1 @ vq2 ) @ Vts )
          = ( vsomeQuery @ Vqr ) ) )
     => ( vptcheck @ Vttc @ Vqr @ Vtt ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Vts: vTStore,Vttc: vTTContext,Vtt: vTType,Vqr: vQuery] :
        ( ( ( vstoreContextConsistent @ Vts @ Vttc )
          & ( vptcheck @ Vttc @ ( vUnion @ vq1 @ vq2 ) @ Vtt )
          & ( ( vreduce @ ( vUnion @ vq1 @ vq2 ) @ Vts )
            = ( vsomeQuery @ Vqr ) ) )
       => ( vptcheck @ Vttc @ Vqr @ Vtt ) ),
    inference('cnf.neg',[status(esa)],[Preservation-Union]) ).

thf(zip_derived_cl959,plain,
    ( ( vreduce @ ( vUnion @ vq1 @ vq2 ) @ sk__545 )
    = ( vsomeQuery @ sk__548 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl961,plain,
    vptcheck @ sk__546 @ ( vUnion @ vq1 @ vq2 ) @ sk__547,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('Preservation-Union-tvalue',axiom,
    ! [Vqr: vQuery,Vt: vTable,Vttc: vTTContext,Vts: vTStore,Vtt: vTType] :
      ( ( ( vq1
          = ( vtvalue @ Vt ) )
        & ( vstoreContextConsistent @ Vts @ Vttc )
        & ( vptcheck @ Vttc @ ( vUnion @ vq1 @ vq2 ) @ Vtt )
        & ( ( vreduce @ ( vUnion @ vq1 @ vq2 ) @ Vts )
          = ( vsomeQuery @ Vqr ) ) )
     => ( vptcheck @ Vttc @ Vqr @ Vtt ) ) ).

thf(zip_derived_cl956,plain,
    ! [X0: vQuery,X1: vTStore,X2: vTTContext,X3: vTable,X4: vTType] :
      ( ( ( vreduce @ ( vUnion @ vq1 @ vq2 ) @ X1 )
       != ( vsomeQuery @ X0 ) )
      | ~ ( vstoreContextConsistent @ X1 @ X2 )
      | ( vq1
       != ( vtvalue @ X3 ) )
      | ~ ( vptcheck @ X2 @ ( vUnion @ vq1 @ vq2 ) @ X4 )
      | ( vptcheck @ X2 @ X0 @ X4 ) ),
    inference(cnf,[status(esa)],[Preservation-Union-tvalue]) ).

thf(zip_derived_cl963,plain,
    ( ! [X0: vQuery,X1: vTStore,X2: vTTContext,X4: vTType] :
        ( ( ( vreduce @ ( vUnion @ vq1 @ vq2 ) @ X1 )
         != ( vsomeQuery @ X0 ) )
        | ~ ( vstoreContextConsistent @ X1 @ X2 )
        | ~ ( vptcheck @ X2 @ ( vUnion @ vq1 @ vq2 ) @ X4 )
        | ( vptcheck @ X2 @ X0 @ X4 ) )
   <= ! [X0: vQuery,X1: vTStore,X2: vTTContext,X4: vTType] :
        ( ( ( vreduce @ ( vUnion @ vq1 @ vq2 ) @ X1 )
         != ( vsomeQuery @ X0 ) )
        | ~ ( vstoreContextConsistent @ X1 @ X2 )
        | ~ ( vptcheck @ X2 @ ( vUnion @ vq1 @ vq2 ) @ X4 )
        | ( vptcheck @ X2 @ X0 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl956]) ).

thf(zip_derived_cl1006,plain,
    ( ! [X0: vTStore,X1: vQuery] :
        ( ( ( vreduce @ ( vUnion @ vq1 @ vq2 ) @ X0 )
         != ( vsomeQuery @ X1 ) )
        | ~ ( vstoreContextConsistent @ X0 @ sk__546 )
        | ( vptcheck @ sk__546 @ X1 @ sk__547 ) )
   <= ! [X0: vQuery,X1: vTStore,X2: vTTContext,X4: vTType] :
        ( ( ( vreduce @ ( vUnion @ vq1 @ vq2 ) @ X1 )
         != ( vsomeQuery @ X0 ) )
        | ~ ( vstoreContextConsistent @ X1 @ X2 )
        | ~ ( vptcheck @ X2 @ ( vUnion @ vq1 @ vq2 ) @ X4 )
        | ( vptcheck @ X2 @ X0 @ X4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl961,zip_derived_cl963]) ).

thf(zip_derived_cl1007,plain,
    ( ! [X0: vQuery] :
        ( ( ( vsomeQuery @ sk__548 )
         != ( vsomeQuery @ X0 ) )
        | ~ ( vstoreContextConsistent @ sk__545 @ sk__546 )
        | ( vptcheck @ sk__546 @ X0 @ sk__547 ) )
   <= ! [X0: vQuery,X1: vTStore,X2: vTTContext,X4: vTType] :
        ( ( ( vreduce @ ( vUnion @ vq1 @ vq2 ) @ X1 )
         != ( vsomeQuery @ X0 ) )
        | ~ ( vstoreContextConsistent @ X1 @ X2 )
        | ~ ( vptcheck @ X2 @ ( vUnion @ vq1 @ vq2 ) @ X4 )
        | ( vptcheck @ X2 @ X0 @ X4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl959,zip_derived_cl1006]) ).

thf(zip_derived_cl960,plain,
    vstoreContextConsistent @ sk__545 @ sk__546,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1008,plain,
    ( ! [X0: vQuery] :
        ( ( ( vsomeQuery @ sk__548 )
         != ( vsomeQuery @ X0 ) )
        | ( vptcheck @ sk__546 @ X0 @ sk__547 ) )
   <= ! [X0: vQuery,X1: vTStore,X2: vTTContext,X4: vTType] :
        ( ( ( vreduce @ ( vUnion @ vq1 @ vq2 ) @ X1 )
         != ( vsomeQuery @ X0 ) )
        | ~ ( vstoreContextConsistent @ X1 @ X2 )
        | ~ ( vptcheck @ X2 @ ( vUnion @ vq1 @ vq2 ) @ X4 )
        | ( vptcheck @ X2 @ X0 @ X4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1007,zip_derived_cl960]) ).

thf(zip_derived_cl1009,plain,
    ( ( vptcheck @ sk__546 @ sk__548 @ sk__547 )
   <= ! [X0: vQuery,X1: vTStore,X2: vTTContext,X4: vTType] :
        ( ( ( vreduce @ ( vUnion @ vq1 @ vq2 ) @ X1 )
         != ( vsomeQuery @ X0 ) )
        | ~ ( vstoreContextConsistent @ X1 @ X2 )
        | ~ ( vptcheck @ X2 @ ( vUnion @ vq1 @ vq2 ) @ X4 )
        | ( vptcheck @ X2 @ X0 @ X4 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1008]) ).

thf(zip_derived_cl958,plain,
    ~ ( vptcheck @ sk__546 @ sk__548 @ sk__547 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ~ ! [X0: vQuery,X1: vTStore,X2: vTTContext,X4: vTType] :
        ( ( ( vreduce @ ( vUnion @ vq1 @ vq2 ) @ X1 )
         != ( vsomeQuery @ X0 ) )
        | ~ ( vstoreContextConsistent @ X1 @ X2 )
        | ~ ( vptcheck @ X2 @ ( vUnion @ vq1 @ vq2 ) @ X4 )
        | ( vptcheck @ X2 @ X0 @ X4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1009,zip_derived_cl958]) ).

thf('2',plain,
    ( ! [X3: vTable] :
        ( vq1
       != ( vtvalue @ X3 ) )
    | ! [X0: vQuery,X1: vTStore,X2: vTTContext,X4: vTType] :
        ( ( ( vreduce @ ( vUnion @ vq1 @ vq2 ) @ X1 )
         != ( vsomeQuery @ X0 ) )
        | ~ ( vstoreContextConsistent @ X1 @ X2 )
        | ~ ( vptcheck @ X2 @ ( vUnion @ vq1 @ vq2 ) @ X4 )
        | ( vptcheck @ X2 @ X0 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl956]) ).

thf(zip_derived_cl965,plain,
    ( ( vq1
      = ( vtvalue @ sk__544 ) )
   <= ( vq1
      = ( vtvalue @ sk__544 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl957]) ).

thf(zip_derived_cl962,plain,
    ( ! [X3: vTable] :
        ( vq1
       != ( vtvalue @ X3 ) )
   <= ! [X3: vTable] :
        ( vq1
       != ( vtvalue @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl956]) ).

thf(zip_derived_cl966,plain,
    ( ( vq1 != vq1 )
   <= ( ! [X3: vTable] :
          ( vq1
         != ( vtvalue @ X3 ) )
      & ( vq1
        = ( vtvalue @ sk__544 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl965,zip_derived_cl962]) ).

thf('3',plain,
    ( ~ ! [X3: vTable] :
          ( vq1
         != ( vtvalue @ X3 ) )
    | ( vq1
     != ( vtvalue @ sk__544 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl966]) ).

thf(zip_derived_cl1012,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : COM293_1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zhYTSEMSMa true
% 0.17/0.34  % Computer : n015.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Mon May  4 20:26:31 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.17/0.34  % Running portfolio for 300 s
% 0.17/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35  % Number of cores: 8
% 0.17/0.35  % Python version: Python 3.6.8
% 0.17/0.35  % Running in FO mode
% 0.45/0.62  % Total configuration time : 435
% 0.45/0.62  % Estimated wc time : 1092
% 0.45/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.89  % Solved by fo/fo1_av.sh.
% 0.55/0.89  % done 105 iterations in 0.151s
% 0.55/0.89  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.89  % SZS output start Refutation
% See solution above
% 0.55/0.89  
% 0.55/0.89  
% 0.55/0.89  % Terminating...
% 0.56/0.95  % Runner terminated.
% 0.56/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------