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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP083^1 : 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.PiW8usn1w0 true

% Computer : n025.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 04:38:46 PM UTC 2025

% Result   : Theorem 0.61s 0.97s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   28 (   0 equ;   1 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  162 (   7   ~;   1   |;   0   &; 142   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (  10 avg)
%            Number of types       :    9 (   8 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;   6 con; 0-6 aty)
%                                         (   7  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   20 (   7   ^;  13   !;   0   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(val_type,type,
    val: $tType ).

thf(set_val_type,type,
    set_val: $tType ).

thf(g_type,type,
    g: $tType ).

thf(list_P561207620_edgeD_type,type,
    list_P561207620_edgeD: $tType ).

thf(node_type,type,
    node: $tType ).

thf(uses_type,type,
    uses: g > node > set_val ).

thf('#sk1_type',type,
    '#sk1': val ).

thf(g2_type,type,
    g2: g ).

thf(phis_type,type,
    phis: g > produc1432036078de_val > option_list_val ).

thf(inEdges_type,type,
    inEdges: g > node > list_P561207620_edgeD ).

thf(defs_type,type,
    defs: g > node > set_val ).

thf(member_val_type,type,
    member_val: val > set_val > $o ).

thf(sSA_CF1252180629de_val_type,type,
    sSA_CF1252180629de_val: ( g > list_node ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > val > val > $o ).

thf(phi_s_type,type,
    phi_s: val ).

thf(sSA_CF1517915011eD_val_type,type,
    sSA_CF1517915011eD_val: ( g > list_node ) > ( g > node > list_P561207620_edgeD ) > ( g > node > set_val ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > set_val ).

thf(option_list_val_type,type,
    option_list_val: $tType ).

thf(list_node_type,type,
    list_node: $tType ).

thf(produc1432036078de_val_type,type,
    produc1432036078de_val: $tType ).

thf(alpha_n_type,type,
    alpha_n: g > list_node ).

thf(conj_0,conjecture,
    member_val @ phi_s @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ g2 ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( member_val @ phi_s @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ g2 ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl353,plain,
    ~ ( member_val @ phi_s @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ g2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_5__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062_092_060phi_062_H_O_AphiArg_Ag_A_092_060phi_062_H_A_092_060phi_062_092_060_094sub_062s_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,axiom,
    ~ ! [Phi: val] :
        ~ ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ g2 @ Phi @ phi_s ) ).

thf(zip_derived_cl5,plain,
    ~ ( !!
      @ ^ [Y0: val] : ( (~) @ ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ g2 @ Y0 @ phi_s ) ) ),
    inference(cnf,[status(esa)],[fact_5__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062_092_060phi_062_H_O_AphiArg_Ag_A_092_060phi_062_H_A_092_060phi_062_092_060_094sub_062s_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062]) ).

thf(zip_derived_cl362,plain,
    sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ g2 @ '#sk1' @ phi_s,
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).

thf(fact_6_phiArg__in__allVars,axiom,
    ! [G: g,V: val,V2: val] :
      ( ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ G @ V @ V2 )
     => ( member_val @ V2 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ G ) ) ) ).

thf(zip_derived_cl6,plain,
    ( !!
    @ ^ [Y0: g] :
        ( !!
        @ ^ [Y1: val] :
            ( !!
            @ ^ [Y2: val] :
                ( ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ Y0 @ Y1 @ Y2 )
               => ( member_val @ Y2 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ Y0 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_6_phiArg__in__allVars]) ).

thf(zip_derived_cl374,plain,
    ! [X2: g] :
      ( !!
      @ ^ [Y0: val] :
          ( !!
          @ ^ [Y1: val] :
              ( ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ X2 @ Y0 @ Y1 )
             => ( member_val @ Y1 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ X2 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl375,plain,
    ! [X2: g,X4: val] :
      ( !!
      @ ^ [Y0: val] :
          ( ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ X2 @ X4 @ Y0 )
         => ( member_val @ Y0 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl374]) ).

thf(zip_derived_cl376,plain,
    ! [X2: g,X4: val,X6: val] :
      ( ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ X2 @ X4 @ X6 )
     => ( member_val @ X6 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl375]) ).

thf(zip_derived_cl377,plain,
    ! [X2: g,X4: val,X6: val] :
      ( ~ ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ X2 @ X4 @ X6 )
      | ( member_val @ X6 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl376]) ).

thf(zip_derived_cl378,plain,
    member_val @ phi_s @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ g2 ),
    inference('sup-',[status(thm)],[zip_derived_cl362,zip_derived_cl377]) ).

thf(zip_derived_cl382,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl353,zip_derived_cl378]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : ITP083^1 : TPTP v9.2.0. Released v7.5.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PiW8usn1w0 true
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 15:35:23 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.59/0.68  % Total configuration time : 828
% 0.59/0.68  % Estimated wc time : 1656
% 0.59/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.59/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.77  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.79  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.80  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.82  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.61/0.96  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.61/0.97  % Solved by lams/35_full_unif4.sh.
% 0.61/0.97  % done 52 iterations in 0.169s
% 0.61/0.97  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.61/0.97  % SZS output start Refutation
% See solution above
% 0.61/0.97  
% 0.61/0.97  
% 0.61/0.97  % Terminating...
% 3.39/1.15  % Runner terminated.
% 3.39/1.17  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------