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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP152^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8y1NxQYMeL true

% Computer : n002.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 04:38:59 PM UTC 2025

% Result   : Theorem 0.58s 0.94s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   21 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   78 (   4 equ;  13 cnn)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  263 (  29   ~;   8   |;  16   &; 198   @)
%                                         (   5 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   7 usr;   7 con; 0-2 aty)
%                                         (   3  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   15 (   3   ^;  12   !;   0   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(set_a_type,type,
    set_a: $tType ).

thf(product_prod_a_a_type,type,
    product_prod_a_a: $tType ).

thf(set_Product_prod_a_a_type,type,
    set_Product_prod_a_a: $tType ).

thf(member449909584od_a_a_type,type,
    member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).

thf(member_a_type,type,
    member_a: a > set_a > $o ).

thf(x_type,type,
    x: a ).

thf(product_Pair_a_a_type,type,
    product_Pair_a_a: a > a > product_prod_a_a ).

thf(y_type,type,
    y: a ).

thf(carrier_type,type,
    carrier: set_a ).

thf(relation_type,type,
    relation: set_Product_prod_a_a ).

thf(conj_0,axiom,
    member_a @ x @ carrier ).

thf(zip_derived_cl355,plain,
    member_a @ x @ carrier,
    inference(cnf,[status(esa)],[conj_0]) ).

thf(conj_1,axiom,
    member_a @ y @ carrier ).

thf(zip_derived_cl356,plain,
    member_a @ y @ carrier,
    inference(cnf,[status(esa)],[conj_1]) ).

thf(fact_5_strict__not__refl__weak,axiom,
    ! [X: a,Y: a] :
      ( ( ( member_a @ Y @ carrier )
        & ( member_a @ X @ carrier ) )
     => ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X ) @ relation )
      <=> ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X ) @ relation )
          & ( member449909584od_a_a @ ( product_Pair_a_a @ X @ Y ) @ relation ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( ( ( member_a @ Y1 @ carrier )
              & ( member_a @ Y0 @ carrier ) )
           => ( ( (~) @ ( member449909584od_a_a @ ( product_Pair_a_a @ Y1 @ Y0 ) @ relation ) )
            <=> ( ( (~) @ ( member449909584od_a_a @ ( product_Pair_a_a @ Y1 @ Y0 ) @ relation ) )
                & ( member449909584od_a_a @ ( product_Pair_a_a @ Y0 @ Y1 ) @ relation ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_5_strict__not__refl__weak]) ).

thf(zip_derived_cl503,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( ( member_a @ Y0 @ carrier )
            & ( member_a @ X2 @ carrier ) )
         => ( ( (~) @ ( member449909584od_a_a @ ( product_Pair_a_a @ Y0 @ X2 ) @ relation ) )
          <=> ( ( (~) @ ( member449909584od_a_a @ ( product_Pair_a_a @ Y0 @ X2 ) @ relation ) )
              & ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y0 ) @ relation ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl504,plain,
    ! [X2: a,X4: a] :
      ( ( ( member_a @ X4 @ carrier )
        & ( member_a @ X2 @ carrier ) )
     => ( ( (~) @ ( member449909584od_a_a @ ( product_Pair_a_a @ X4 @ X2 ) @ relation ) )
      <=> ( ( (~) @ ( member449909584od_a_a @ ( product_Pair_a_a @ X4 @ X2 ) @ relation ) )
          & ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ X4 ) @ relation ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl503]) ).

thf(zip_derived_cl505,plain,
    ! [X2: a,X4: a] :
      ( ~ ( ( member_a @ X4 @ carrier )
          & ( member_a @ X2 @ carrier ) )
      | ( ( (~) @ ( member449909584od_a_a @ ( product_Pair_a_a @ X4 @ X2 ) @ relation ) )
      <=> ( ( (~) @ ( member449909584od_a_a @ ( product_Pair_a_a @ X4 @ X2 ) @ relation ) )
          & ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ X4 ) @ relation ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl504]) ).

thf(zip_derived_cl506,plain,
    ! [X2: a,X4: a] :
      ( ~ ( ( member_a @ X4 @ carrier )
          & ( member_a @ X2 @ carrier ) )
      | ( ( member449909584od_a_a @ ( product_Pair_a_a @ X4 @ X2 ) @ relation )
       != ( ( (~) @ ( member449909584od_a_a @ ( product_Pair_a_a @ X4 @ X2 ) @ relation ) )
          & ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ X4 ) @ relation ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl505]) ).

thf(zip_derived_cl507,plain,
    ! [X2: a,X4: a] :
      ( ~ ( member_a @ X4 @ carrier )
      | ~ ( member_a @ X2 @ carrier )
      | ( ( member449909584od_a_a @ ( product_Pair_a_a @ X4 @ X2 ) @ relation )
       != ( ( (~) @ ( member449909584od_a_a @ ( product_Pair_a_a @ X4 @ X2 ) @ relation ) )
          & ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ X4 ) @ relation ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl506]) ).

thf(zip_derived_cl508,plain,
    ! [X0: a] :
      ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ y @ X0 ) @ relation )
       != ( ( (~) @ ( member449909584od_a_a @ ( product_Pair_a_a @ y @ X0 ) @ relation ) )
          & ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ y ) @ relation ) ) )
      | ~ ( member_a @ X0 @ carrier ) ),
    inference('sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl507]) ).

thf(zip_derived_cl525,plain,
    ( ( member449909584od_a_a @ ( product_Pair_a_a @ y @ x ) @ relation )
   != ( ( (~) @ ( member449909584od_a_a @ ( product_Pair_a_a @ y @ x ) @ relation ) )
      & ( member449909584od_a_a @ ( product_Pair_a_a @ x @ y ) @ relation ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl355,zip_derived_cl508]) ).

thf(conj_3,conjecture,
    ( ( member449909584od_a_a @ ( product_Pair_a_a @ x @ y ) @ relation )
    | ( member449909584od_a_a @ ( product_Pair_a_a @ y @ x ) @ relation ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( member449909584od_a_a @ ( product_Pair_a_a @ x @ y ) @ relation )
      | ( member449909584od_a_a @ ( product_Pair_a_a @ y @ x ) @ relation ) ),
    inference('cnf.neg',[status(esa)],[conj_3]) ).

thf(zip_derived_cl358,plain,
    ~ ( ( member449909584od_a_a @ ( product_Pair_a_a @ x @ y ) @ relation )
      | ( member449909584od_a_a @ ( product_Pair_a_a @ y @ x ) @ relation ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl362,plain,
    ~ ( member449909584od_a_a @ ( product_Pair_a_a @ y @ x ) @ relation ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl358]) ).

thf(zip_derived_cl362_001,plain,
    ~ ( member449909584od_a_a @ ( product_Pair_a_a @ y @ x ) @ relation ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl358]) ).

thf(zip_derived_cl361,plain,
    ~ ( member449909584od_a_a @ ( product_Pair_a_a @ x @ y ) @ relation ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl358]) ).

thf(zip_derived_cl539,plain,
    ( ( (~) @ $false )
    & $false ),
    inference(demod,[status(thm)],[zip_derived_cl525,zip_derived_cl362,zip_derived_cl362,zip_derived_cl361]) ).

thf(zip_derived_cl540,plain,
    $false,
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl539]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem  : ITP152^1 : TPTP v9.2.0. Released v7.5.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8y1NxQYMeL true
% 0.13/0.35  % Computer : n002.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 15:33:23 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.56/0.68  % Total configuration time : 828
% 0.56/0.68  % Estimated wc time : 1656
% 0.56/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.82  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.58/0.94  % Solved by lams/15_e_short1.sh.
% 0.58/0.94  % done 55 iterations in 0.154s
% 0.58/0.94  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.94  % SZS output start Refutation
% See solution above
% 0.58/0.94  
% 0.58/0.94  
% 0.58/0.94  % Terminating...
% 0.58/1.01  % Runner terminated.
% 1.77/1.01  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------