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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO223^5 : 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.OODIBCsOkq 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 05:07:02 PM UTC 2025

% Result   : Theorem 0.57s 0.82s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   41 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :  149 (  23 equ;  23 cnn)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  349 (  33   ~;  13   |;  29   &; 224   @)
%                                         (  14 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  11 usr;  12 con; 0-6 aty)
%                                         (  10  !!;  15  ??;   0 @@+;   0 @@-)
%            Number of variables   :   43 (   4   ^;  35   !;   4   ?;  43   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cP_type,type,
    cP: $i ).

thf(cJ_type,type,
    cJ: $i ).

thf(cUNIQUE_type,type,
    cUNIQUE: $i > $o ).

thf(cS_type,type,
    cS: $i ).

thf('#sk1_type',type,
    '#sk1': $i ).

thf(cLIKE_type,type,
    cLIKE: $i > $i > $o ).

thf(s_comb_type,type,
    '#S': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > ( A > B ) > A > C ) ).

thf(c_comb_type,type,
    '#C': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > B > A > C ) ).

thf(b_comb_type,type,
    '#B': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B ) > ( C > A ) > C > B ) ).

thf(k_comb_type,type,
    '#K': 
      !>[A: $tType,B: $tType] : ( B > A > B ) ).

thf(i_comb_type,type,
    '#I': 
      !>[A: $tType] : ( A > A ) ).

thf(cLING2,conjecture,
    ( ( ( cUNIQUE @ cS )
      & ! [X: $i] :
          ( ( cUNIQUE @ X )
         => ! [Z: $i] : ( X = Z ) ) )
   => ? [Xan: $i > $o] :
        ( ( ( Xan @ cP )
        <=> ( cLIKE @ cP @ cS ) )
        & ( ( Xan @ cJ )
        <=> ? [X: $i] :
              ( ( cUNIQUE @ X )
              & ( cLIKE @ cJ @ X ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( cUNIQUE @ cS )
        & ! [X: $i] :
            ( ( cUNIQUE @ X )
           => ! [Z: $i] : ( X = Z ) ) )
     => ? [Xan: $i > $o] :
          ( ( ( Xan @ cP )
          <=> ( cLIKE @ cP @ cS ) )
          & ( ( Xan @ cJ )
          <=> ? [X: $i] :
                ( ( cUNIQUE @ X )
                & ( cLIKE @ cJ @ X ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cLING2]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( ( cUNIQUE @ cS )
        & ( !!
          @ ^ [Y0: $i] :
              ( ( cUNIQUE @ Y0 )
             => ( !!
                @ ^ [Y1: $i] : ( Y0 = Y1 ) ) ) ) )
     => ( ??
        @ ^ [Y0: $i > $o] :
            ( ( ( Y0 @ cP )
            <=> ( cLIKE @ cP @ cS ) )
            & ( ( Y0 @ cJ )
            <=> ( ??
                @ ^ [Y1: $i] :
                    ( ( cUNIQUE @ Y1 )
                    & ( cLIKE @ cJ @ Y1 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( ( ( cUNIQUE @ cS )
        & ( !! @ ( '#S' @ ( '#B' @ (=>) @ cUNIQUE ) @ ( '#B' @ !! @ (=) ) ) ) )
     => ( ?? @ ( '#S' @ ( '#B' @ (&) @ ( '#C' @ ( '#B' @ (<=>) @ ( '#C' @ '#I' @ cP ) ) @ ( cLIKE @ cP @ cS ) ) ) @ ( '#C' @ ( '#B' @ (<=>) @ ( '#C' @ '#I' @ cJ ) ) @ ( ?? @ ( '#S' @ ( '#B' @ (&) @ cUNIQUE ) @ ( cLIKE @ cJ ) ) ) ) ) ) ),
    inference(lams2combs,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ~ ( ?? @ ( '#S' @ ( '#B' @ (&) @ ( '#C' @ ( '#B' @ (<=>) @ ( '#C' @ '#I' @ cP ) ) @ ( cLIKE @ cP @ cS ) ) ) @ ( '#C' @ ( '#B' @ (<=>) @ ( '#C' @ '#I' @ cJ ) ) @ ( ?? @ ( '#S' @ ( '#B' @ (&) @ cUNIQUE ) @ ( cLIKE @ cJ ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i > $o] :
      ~ ( ( ( X2 @ cP )
        <=> ( cLIKE @ cP @ cS ) )
        & ( ( X2 @ cJ )
        <=> ( ?? @ ( '#S' @ ( '#B' @ (&) @ cUNIQUE ) @ ( cLIKE @ cJ ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i > $o] :
      ( ~ ( ( X2 @ cP )
        <=> ( cLIKE @ cP @ cS ) )
      | ~ ( ( X2 @ cJ )
        <=> ( ?? @ ( '#S' @ ( '#B' @ (&) @ cUNIQUE ) @ ( cLIKE @ cJ ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i > $o] :
      ( ( ( X2 @ cP )
       != ( cLIKE @ cP @ cS ) )
      | ( ( X2 @ cJ )
       != ( ?? @ ( '#S' @ ( '#B' @ (&) @ cUNIQUE ) @ ( cLIKE @ cJ ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $o] :
      ( ( ( '#K' @ X0 @ cP )
       != ( cLIKE @ cP @ cS ) )
      | ( ( '#K' @ X0 @ cJ )
       != ( ?? @ ( '#S' @ ( '#B' @ (&) @ cUNIQUE ) @ ( cLIKE @ cJ ) ) ) ) ),
    inference(narrow_applied_variable,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $o] :
      ( ( X0
       != ( cLIKE @ cP @ cS ) )
      | ( X0
       != ( ?? @ ( '#S' @ ( '#B' @ (&) @ cUNIQUE ) @ ( cLIKE @ cJ ) ) ) ) ),
    inference('comb-normalize',[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl92,plain,
    ( ( cLIKE @ cP @ cS )
   != ( ?? @ ( '#S' @ ( '#B' @ (&) @ cUNIQUE ) @ ( cLIKE @ cJ ) ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl2,plain,
    ( ( cUNIQUE @ cS )
    & ( !! @ ( '#S' @ ( '#B' @ (=>) @ cUNIQUE ) @ ( '#B' @ !! @ (=) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    !! @ ( '#S' @ ( '#B' @ (=>) @ cUNIQUE ) @ ( '#B' @ !! @ (=) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i] :
      ( ( cUNIQUE @ X2 )
     => ( !! @ ( $i = X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i] :
      ( ~ ( cUNIQUE @ X2 )
      | ( !! @ ( $i = X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i,X4: $i] :
      ( ( X2 = X4 )
      | ~ ( cUNIQUE @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i,X4: $i] :
      ( ( X2 = X4 )
      | ~ ( cUNIQUE @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl12_001,plain,
    ! [X2: $i,X4: $i] :
      ( ( X2 = X4 )
      | ~ ( cUNIQUE @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl4,plain,
    cUNIQUE @ cS,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] : ( cS = X0 ),
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl4]) ).

thf(zip_derived_cl4_002,plain,
    cUNIQUE @ cS,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] : ( cUNIQUE @ X0 ),
    inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl4]) ).

thf(zip_derived_cl23,plain,
    ! [X2: $i,X4: $i] : ( X2 = X4 ),
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl19]) ).

thf(zip_derived_cl92_003,plain,
    ( ( cLIKE @ cP @ cS )
   != ( ?? @ ( '#S' @ ( '#B' @ (&) @ cUNIQUE ) @ ( cLIKE @ cJ ) ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl95,plain,
    ( ~ ( cLIKE @ cP @ cS )
    | ~ ( ?? @ ( '#S' @ ( '#B' @ (&) @ cUNIQUE ) @ ( cLIKE @ cJ ) ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl92]) ).

thf(zip_derived_cl96,plain,
    ! [X2: $i] :
      ( ~ ( ( cUNIQUE @ X2 )
          & ( cLIKE @ cJ @ X2 ) )
      | ~ ( cLIKE @ cP @ cS ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl95]) ).

thf(zip_derived_cl19_004,plain,
    ! [X0: $i] : ( cUNIQUE @ X0 ),
    inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl4]) ).

thf(zip_derived_cl97,plain,
    ! [X2: $i] :
      ( ~ ( $true
          & ( cLIKE @ cJ @ X2 ) )
      | ~ ( cLIKE @ cP @ cS ) ),
    inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl19]) ).

thf(zip_derived_cl98,plain,
    ! [X2: $i] :
      ( ~ ( cLIKE @ cJ @ X2 )
      | ~ ( cLIKE @ cP @ cS ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl97]) ).

thf(zip_derived_cl99,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cLIKE @ X0 @ X1 )
      | ~ ( cLIKE @ cP @ cS ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl98]) ).

thf(zip_derived_cl105,plain,
    ~ ( cLIKE @ cP @ cS ),
    inference(condensation,[status(thm)],[zip_derived_cl99]) ).

thf(zip_derived_cl109,plain,
    ?? @ ( '#S' @ ( '#B' @ (&) @ cUNIQUE ) @ ( cLIKE @ cJ ) ),
    inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl105]) ).

thf(zip_derived_cl116,plain,
    ( ( cUNIQUE @ '#sk1' )
    & ( cLIKE @ cJ @ '#sk1' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl109]) ).

thf(zip_derived_cl19_005,plain,
    ! [X0: $i] : ( cUNIQUE @ X0 ),
    inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl4]) ).

thf(zip_derived_cl23_006,plain,
    ! [X2: $i,X4: $i] : ( X2 = X4 ),
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl19]) ).

thf(zip_derived_cl23_007,plain,
    ! [X2: $i,X4: $i] : ( X2 = X4 ),
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl19]) ).

thf(zip_derived_cl105_008,plain,
    ~ ( cLIKE @ cP @ cS ),
    inference(condensation,[status(thm)],[zip_derived_cl99]) ).

thf(zip_derived_cl110,plain,
    ! [X0: $i] :
      ~ ( cLIKE @ cP @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl105]) ).

thf(zip_derived_cl114,plain,
    ! [X0: $i,X1: $i] :
      ~ ( cLIKE @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl110]) ).

thf(zip_derived_cl117,plain,
    ( $true
    & $false ),
    inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl19,zip_derived_cl114]) ).

thf(zip_derived_cl118,plain,
    $false,
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl117]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYO223^5 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OODIBCsOkq true
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Oct  1 18:16:38 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in HO mode
% 0.55/0.64  % Total configuration time : 828
% 0.55/0.64  % Estimated wc time : 1656
% 0.55/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.72  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.82  % Solved by lams/40_b.comb.sh.
% 0.57/0.82  % done 17 iterations in 0.043s
% 0.57/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.82  % SZS output start Refutation
% See solution above
% 0.57/0.82  
% 0.57/0.82  
% 0.57/0.82  % Terminating...
% 2.35/0.93  % Runner terminated.
% 2.35/0.94  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------