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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO376^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.85Z1uYgJST true

% Computer : n023.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 05:07:20 PM UTC 2025

% Result   : Theorem 0.58s 0.74s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   66 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :  248 (  12 equ;  11 cnn)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  255 (  60   ~;  54   |;   4   &; 134   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   6 usr;   6 con; 0-2 aty)
%            Number of variables   :   20 (  20   ^;   0   !;   0   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cG_type,type,
    cG: $o > $o ).

thf(cP_type,type,
    cP: ( $o > $o ) > $o ).

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

thf('#sk4_type',type,
    '#sk4': $o ).

thf('#sk2_type',type,
    '#sk2': $o ).

thf(cF_type,type,
    cF: $o > $o ).

thf(cTHM627,conjecture,
    ( ( ( cP @ cG )
      & ( cP @ cF ) )
   => ( ( cP
        @ ^ [Xx: $o] :
            ( ( cG @ Xx )
            | ~ ( cF @ Xx ) ) )
      | ( cP
        @ ^ [Xx: $o] :
            ( ( cG @ Xx )
            | ( cF @ Xx ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( cP @ cG )
        & ( cP @ cF ) )
     => ( ( cP
          @ ^ [Xx: $o] :
              ( ( cG @ Xx )
              | ~ ( cF @ Xx ) ) )
        | ( cP
          @ ^ [Xx: $o] :
              ( ( cG @ Xx )
              | ( cF @ Xx ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM627]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( ( cP @ cG )
        & ( cP @ cF ) )
     => ( ( cP
          @ ^ [Y0: $o] :
              ( ( cG @ Y0 )
              | ( (~) @ ( cF @ Y0 ) ) ) )
        | ( cP
          @ ^ [Y0: $o] :
              ( ( cG @ Y0 )
              | ( cF @ Y0 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ( ( cP @ cG )
    & ( cP @ cF ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    cP @ cG,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl2,plain,
    ~ ( ( cP
        @ ^ [Y0: $o] :
            ( ( cG @ Y0 )
            | ( (~) @ ( cF @ Y0 ) ) ) )
      | ( cP
        @ ^ [Y0: $o] :
            ( ( cG @ Y0 )
            | ( cF @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
    ~ ( cP
      @ ^ [Y0: $o] :
          ( ( cG @ Y0 )
          | ( (~) @ ( cF @ Y0 ) ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl28,plain,
    ( ( ^ [Y0: $o] : ( cG @ Y0 ) )
   != ( ^ [Y0: $o] :
          ( ( cG @ Y0 )
          | ( (~) @ ( cF @ Y0 ) ) ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).

thf(zip_derived_cl31,plain,
    ( cG
   != ( ^ [Y0: $o] :
          ( ( cG @ Y0 )
          | ( (~) @ ( cF @ Y0 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl61,plain,
    ( ( cG @ '#sk4' )
   != ( ( cG @ '#sk4' )
      | ( (~) @ ( cF @ '#sk4' ) ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl63,plain,
    ( ~ ( cG @ '#sk4' )
    | ~ ( ( cG @ '#sk4' )
        | ( (~) @ ( cF @ '#sk4' ) ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl61]) ).

thf(zip_derived_cl68,plain,
    ( ~ ( cG @ '#sk4' )
    | ~ ( $true
        | ( (~) @ ( cF @ '#sk4' ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl63]) ).

thf(zip_derived_cl69,plain,
    ~ ( cG @ '#sk4' ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl68]) ).

thf(zip_derived_cl61_001,plain,
    ( ( cG @ '#sk4' )
   != ( ( cG @ '#sk4' )
      | ( (~) @ ( cF @ '#sk4' ) ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl69_002,plain,
    ~ ( cG @ '#sk4' ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl68]) ).

thf(zip_derived_cl69_003,plain,
    ~ ( cG @ '#sk4' ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl68]) ).

thf(zip_derived_cl70,plain,
    ( $false
    | ( (~) @ ( cF @ '#sk4' ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl69,zip_derived_cl69]) ).

thf(zip_derived_cl71,plain,
    (~) @ ( cF @ '#sk4' ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl70]) ).

thf(zip_derived_cl72,plain,
    ~ ( cF @ '#sk4' ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl71]) ).

thf(zip_derived_cl74,plain,
    ( '#sk4'
    | ~ ( cF @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl72]) ).

thf(zip_derived_cl3_004,plain,
    cP @ cG,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ~ ( cP
      @ ^ [Y0: $o] :
          ( ( cG @ Y0 )
          | ( cF @ Y0 ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl11,plain,
    ( ( ^ [Y0: $o] : ( cG @ Y0 ) )
   != ( ^ [Y0: $o] :
          ( ( cG @ Y0 )
          | ( cF @ Y0 ) ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl3,zip_derived_cl6]) ).

thf(zip_derived_cl14,plain,
    ( cG
   != ( ^ [Y0: $o] :
          ( ( cG @ Y0 )
          | ( cF @ Y0 ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl32,plain,
    ( ( cG @ '#sk2' )
   != ( ( cG @ '#sk2' )
      | ( cF @ '#sk2' ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl32_005,plain,
    ( ( cG @ '#sk2' )
   != ( ( cG @ '#sk2' )
      | ( cF @ '#sk2' ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl35,plain,
    ( ~ ( cG @ '#sk2' )
    | ~ ( ( cG @ '#sk2' )
        | ( cF @ '#sk2' ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl32]) ).

thf(zip_derived_cl39,plain,
    ( ~ ( cG @ '#sk2' )
    | ~ ( $true
        | ( cF @ '#sk2' ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl40,plain,
    ~ ( cG @ '#sk2' ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl40_006,plain,
    ~ ( cG @ '#sk2' ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl41,plain,
    ( $false
    | ( cF @ '#sk2' ) ),
    inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl40,zip_derived_cl40]) ).

thf(zip_derived_cl42,plain,
    cF @ '#sk2',
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl44,plain,
    ( '#sk2'
    | ( cF @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl93,plain,
    ( '#sk4'
    | '#sk2' ),
    inference('sup+',[status(thm)],[zip_derived_cl74,zip_derived_cl44]) ).

thf(zip_derived_cl40_007,plain,
    ~ ( cG @ '#sk2' ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl118,plain,
    ( ~ ( cG @ $true )
    | '#sk4' ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl40]) ).

thf(zip_derived_cl4,plain,
    cP @ cF,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6_008,plain,
    ~ ( cP
      @ ^ [Y0: $o] :
          ( ( cG @ Y0 )
          | ( cF @ Y0 ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl12,plain,
    ( ( ^ [Y0: $o] : ( cF @ Y0 ) )
   != ( ^ [Y0: $o] :
          ( ( cG @ Y0 )
          | ( cF @ Y0 ) ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl4,zip_derived_cl6]) ).

thf(zip_derived_cl13,plain,
    ( cF
   != ( ^ [Y0: $o] :
          ( ( cG @ Y0 )
          | ( cF @ Y0 ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl15,plain,
    ( ( cF @ '#sk1' )
   != ( ( cG @ '#sk1' )
      | ( cF @ '#sk1' ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl15_009,plain,
    ( ( cF @ '#sk1' )
   != ( ( cG @ '#sk1' )
      | ( cF @ '#sk1' ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl17,plain,
    ( ~ ( cF @ '#sk1' )
    | ~ ( ( cG @ '#sk1' )
        | ( cF @ '#sk1' ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl21,plain,
    ( ~ ( cF @ '#sk1' )
    | ~ ( ( cG @ '#sk1' )
        | $true ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl22,plain,
    ~ ( cF @ '#sk1' ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl22_010,plain,
    ~ ( cF @ '#sk1' ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl24,plain,
    ( ( cG @ '#sk1' )
    | $false ),
    inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl22,zip_derived_cl22]) ).

thf(zip_derived_cl25,plain,
    cG @ '#sk1',
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl69_011,plain,
    ~ ( cG @ '#sk4' ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl68]) ).

thf(zip_derived_cl73,plain,
    ( '#sk4'
    | ~ ( cG @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl69]) ).

thf(zip_derived_cl25_012,plain,
    cG @ '#sk1',
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl27,plain,
    ( '#sk1'
    | ( cG @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl85,plain,
    ( '#sk4'
    | '#sk1' ),
    inference('sup+',[status(thm)],[zip_derived_cl73,zip_derived_cl27]) ).

thf(zip_derived_cl72_013,plain,
    ~ ( cF @ '#sk4' ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl71]) ).

thf(zip_derived_cl99,plain,
    ( ~ ( cF @ $true )
    | '#sk1' ),
    inference('sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl72]) ).

thf(zip_derived_cl44_014,plain,
    ( '#sk2'
    | ( cF @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl22_015,plain,
    ~ ( cF @ '#sk1' ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl26,plain,
    ( '#sk1'
    | ~ ( cF @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl45,plain,
    ( '#sk2'
    | '#sk1' ),
    inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl26]) ).

thf(zip_derived_cl42_016,plain,
    cF @ '#sk2',
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl51,plain,
    ( ( cF @ $true )
    | '#sk1' ),
    inference('sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl42]) ).

thf(zip_derived_cl105,plain,
    '#sk1',
    inference(clc,[status(thm)],[zip_derived_cl99,zip_derived_cl51]) ).

thf(zip_derived_cl107,plain,
    cG @ $true,
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl105]) ).

thf(zip_derived_cl121,plain,
    '#sk4',
    inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl107]) ).

thf(zip_derived_cl107_017,plain,
    cG @ $true,
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl105]) ).

thf(zip_derived_cl123,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl121,zip_derived_cl107]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO376^5 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.85Z1uYgJST true
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Oct  1 18:01:23 EDT 2025
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.56/0.66  % Total configuration time : 828
% 0.56/0.66  % Estimated wc time : 1656
% 0.56/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.71  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.74  % Solved by lams/35_full_unif4.sh.
% 0.58/0.74  % done 55 iterations in 0.023s
% 0.58/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.74  % SZS output start Refutation
% See solution above
% 0.58/0.74  
% 0.58/0.74  
% 0.58/0.74  % Terminating...
% 1.73/0.86  % Runner terminated.
% 1.73/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------