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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP052^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cV9lJQX76d true

% Computer : n021.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 04:38:40 PM UTC 2025

% Result   : Theorem 18.23s 6.14s
% Output   : Refutation 18.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   21 (   7 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   79 (   2   ~;   0   |;   0   &;  70   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  12 usr;   6 con; 0-5 aty)
%                                         (   5  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   10 (   5   ^;   5   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nat_type,type,
    nat: $tType ).

thf(list_P559422087at_nat_type,type,
    list_P559422087at_nat: $tType ).

thf(set_Pr1986765409at_nat_type,type,
    set_Pr1986765409at_nat: $tType ).

thf(f_type,type,
    f: product_prod_nat_nat > capacity ).

thf(capacity_type,type,
    capacity: $tType ).

thf(p_type,type,
    p: list_P559422087at_nat ).

thf(residu203630698pacity_type,type,
    residu203630698pacity: ( product_prod_nat_nat > capacity ) > ( product_prod_nat_nat > capacity ) > product_prod_nat_nat > capacity ).

thf(augmen1090971539pacity_type,type,
    augmen1090971539pacity: ( product_prod_nat_nat > capacity ) > nat > nat > ( product_prod_nat_nat > capacity ) > list_P559422087at_nat > $o ).

thf(inf_in586391887at_nat_type,type,
    inf_in586391887at_nat: set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat ).

thf(s_type,type,
    s: nat ).

thf(product_prod_nat_nat_type,type,
    product_prod_nat_nat: $tType ).

thf(t_type,type,
    t: nat ).

thf(c_type,type,
    c: product_prod_nat_nat > capacity ).

thf(converse_nat_nat_type,type,
    converse_nat_nat: set_Pr1986765409at_nat > set_Pr1986765409at_nat ).

thf(set_Pr2131844118at_nat_type,type,
    set_Pr2131844118at_nat: list_P559422087at_nat > set_Pr1986765409at_nat ).

thf(isSimp1359852763pacity_type,type,
    isSimp1359852763pacity: ( product_prod_nat_nat > capacity ) > nat > list_P559422087at_nat > nat > $o ).

thf(bot_bo2130386637at_nat_type,type,
    bot_bo2130386637at_nat: set_Pr1986765409at_nat ).

thf(conj_0,axiom,
    augmen1090971539pacity @ c @ s @ t @ f @ p ).

thf(zip_derived_cl278,plain,
    augmen1090971539pacity @ c @ s @ t @ f @ p,
    inference(cnf,[status(esa)],[conj_0]) ).

thf(conj_1,conjecture,
    ( ( inf_in586391887at_nat @ ( set_Pr2131844118at_nat @ p ) @ ( converse_nat_nat @ ( set_Pr2131844118at_nat @ p ) ) )
    = bot_bo2130386637at_nat ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( inf_in586391887at_nat @ ( set_Pr2131844118at_nat @ p ) @ ( converse_nat_nat @ ( set_Pr2131844118at_nat @ p ) ) )
   != bot_bo2130386637at_nat ),
    inference('cnf.neg',[status(esa)],[conj_1]) ).

thf(zip_derived_cl279,plain,
    ( ( inf_in586391887at_nat @ ( set_Pr2131844118at_nat @ p ) @ ( converse_nat_nat @ ( set_Pr2131844118at_nat @ p ) ) )
   != bot_bo2130386637at_nat ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_5_isAugmentingPath__def,axiom,
    ! [P: list_P559422087at_nat] :
      ( ( augmen1090971539pacity @ c @ s @ t @ f @ P )
      = ( isSimp1359852763pacity @ ( residu203630698pacity @ c @ f ) @ s @ P @ t ) ) ).

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: list_P559422087at_nat] :
        ( ( augmen1090971539pacity @ c @ s @ t @ f @ Y0 )
        = ( isSimp1359852763pacity @ ( residu203630698pacity @ c @ f ) @ s @ Y0 @ t ) ) ),
    inference(cnf,[status(esa)],[fact_5_isAugmentingPath__def]) ).

thf(fact_57_Graph_OisSPath__nt__parallel__pf,axiom,
    ! [C: product_prod_nat_nat > capacity,S: nat,P: list_P559422087at_nat,T: nat] :
      ( ( isSimp1359852763pacity @ C @ S @ P @ T )
     => ( ( inf_in586391887at_nat @ ( set_Pr2131844118at_nat @ P ) @ ( converse_nat_nat @ ( set_Pr2131844118at_nat @ P ) ) )
        = bot_bo2130386637at_nat ) ) ).

thf(zip_derived_cl57,plain,
    ( !!
    @ ^ [Y0: product_prod_nat_nat > capacity] :
        ( !!
        @ ^ [Y1: nat] :
            ( !!
            @ ^ [Y2: list_P559422087at_nat] :
                ( !!
                @ ^ [Y3: nat] :
                    ( ( isSimp1359852763pacity @ Y0 @ Y1 @ Y2 @ Y3 )
                   => ( ( inf_in586391887at_nat @ ( set_Pr2131844118at_nat @ Y2 ) @ ( converse_nat_nat @ ( set_Pr2131844118at_nat @ Y2 ) ) )
                      = bot_bo2130386637at_nat ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_57_Graph_OisSPath__nt__parallel__pf]) ).

thf(zip_derived_cl1058,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl278,zip_derived_cl279,zip_derived_cl5,zip_derived_cl57]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.59  % Problem  : ITP052^1 : TPTP v9.2.0. Released v7.5.0.
% 0.08/0.60  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cV9lJQX76d true
% 0.11/0.81  % Computer : n021.cluster.edu
% 0.11/0.81  % Model    : x86_64 x86_64
% 0.11/0.81  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.81  % Memory   : 8042.1875MB
% 0.11/0.81  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.81  % CPULimit : 300
% 0.11/0.81  % WCLimit  : 300
% 0.11/0.81  % DateTime : Wed Oct  1 15:31:38 EDT 2025
% 0.17/0.82  % CPUTime  : 
% 0.17/0.82  % Running portfolio for 300 s
% 0.17/0.82  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.84  % Number of cores: 8
% 0.17/0.85  % Python version: Python 3.6.8
% 0.17/0.86  % Running in HO mode
% 0.34/1.40  % Total configuration time : 828
% 0.34/1.40  % Estimated wc time : 1656
% 0.34/1.40  % Estimated cpu time (8 cpus) : 207.0
% 0.36/1.52  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.56/1.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.60/1.79  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.60/1.83  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.60/1.83  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.67/1.86  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.67/1.87  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.67/1.88  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.86/2.12  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 18.23/6.14  % Solved by lams/15_e_short1.sh.
% 18.23/6.14  % done 101 iterations in 4.211s
% 18.23/6.14  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 18.23/6.14  % SZS output start Refutation
% See solution above
% 18.23/6.14  
% 18.23/6.14  
% 18.23/6.14  % Terminating...
% 18.50/6.34  % Runner terminated.
% 18.55/6.36  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------