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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP005^5 : TPTP v9.2.0. Bugfixed 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.rfqyoa6OxT true

% Computer : n026.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 04:38:11 PM UTC 2025

% Result   : Theorem 74.10s 9.90s
% Output   : Refutation 74.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   3 unt;   0 typ;   0 def)
%            Number of atoms       :   26 (   9 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  123 (   2   ~;   0   |;   0   &; 105   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   8 usr;   3 con; 0-3 aty)
%                                         (  11  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   25 (  11   ^;  14   !;   0   ?;  25   :)

% Comments : 
%------------------------------------------------------------------------------
thf(del_type,type,
    del: $tType ).

thf(c_2Eset__relation_2Ereln__to__rel_type,type,
    c_2Eset__relation_2Ereln__to__rel: del > del > $i ).

thf(mem_type,type,
    mem: $i > del > $o ).

thf(c_2Epair_2ECURRY_type,type,
    c_2Epair_2ECURRY: del > del > del > $i ).

thf(c_2Epair_2EUNCURRY_type,type,
    c_2Epair_2EUNCURRY: del > del > del > $i ).

thf(c_2Eset__relation_2Erel__to__reln_type,type,
    c_2Eset__relation_2Erel__to__reln: del > del > $i ).

thf(ap_type,type,
    ap: $i > $i > $i ).

thf(arr_type,type,
    arr: del > del > del ).

thf(bool_type,type,
    bool: del ).

thf(conj_thm_2Epair_2ECURRY__UNCURRY__THM,axiom,
    ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
      ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
     => ( ( ap @ ( c_2Epair_2ECURRY @ A_27a @ A_27b @ A_27c ) @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27c ) @ V0f ) )
        = V0f ) ) ).

thf(zip_derived_cl905,plain,
    ( !!
    @ ^ [Y0: del] :
        ( !!
        @ ^ [Y1: del] :
            ( !!
            @ ^ [Y2: del] :
                ( !!
                @ ^ [Y3: $i] :
                    ( ( mem @ Y3 @ ( arr @ Y0 @ ( arr @ Y1 @ Y2 ) ) )
                   => ( ( ap @ ( c_2Epair_2ECURRY @ Y0 @ Y1 @ Y2 ) @ ( ap @ ( c_2Epair_2EUNCURRY @ Y0 @ Y1 @ Y2 ) @ Y3 ) )
                      = Y3 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2Epair_2ECURRY__UNCURRY__THM]) ).

thf(conj_thm_2Eset__relation_2Erel__to__reln__IS__UNCURRY,axiom,
    ! [A_27a: del,A_27b: del] :
      ( ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27b )
      = ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ bool ) ) ).

thf(zip_derived_cl2890,plain,
    ( !!
    @ ^ [Y0: del] :
        ( !!
        @ ^ [Y1: del] :
            ( ( c_2Eset__relation_2Erel__to__reln @ Y0 @ Y1 )
            = ( c_2Epair_2EUNCURRY @ Y0 @ Y1 @ bool ) ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2Eset__relation_2Erel__to__reln__IS__UNCURRY]) ).

thf(conj_thm_2Eset__relation_2Ereln__to__rel__IS__CURRY,axiom,
    ! [A_27a: del,A_27b: del] :
      ( ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27b )
      = ( c_2Epair_2ECURRY @ A_27a @ A_27b @ bool ) ) ).

thf(zip_derived_cl2891,plain,
    ( !!
    @ ^ [Y0: del] :
        ( !!
        @ ^ [Y1: del] :
            ( ( c_2Eset__relation_2Ereln__to__rel @ Y0 @ Y1 )
            = ( c_2Epair_2ECURRY @ Y0 @ Y1 @ bool ) ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2Eset__relation_2Ereln__to__rel__IS__CURRY]) ).

thf(conj_thm_2Eset__relation_2Erel__to__reln__inv,conjecture,
    ! [A_27a: del,A_27b: del,V0R: $i] :
      ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
     => ( ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27b ) @ ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27b ) @ V0R ) )
        = V0R ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A_27a: del,A_27b: del,V0R: $i] :
        ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
       => ( ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27b ) @ ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27b ) @ V0R ) )
          = V0R ) ),
    inference('cnf.neg',[status(esa)],[conj_thm_2Eset__relation_2Erel__to__reln__inv]) ).

thf(zip_derived_cl2892,plain,
    ~ ( !!
      @ ^ [Y0: del] :
          ( !!
          @ ^ [Y1: del] :
              ( !!
              @ ^ [Y2: $i] :
                  ( ( mem @ Y2 @ ( arr @ Y0 @ ( arr @ Y1 @ bool ) ) )
                 => ( ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ Y0 @ Y1 ) @ ( ap @ ( c_2Eset__relation_2Erel__to__reln @ Y0 @ Y1 ) @ Y2 ) )
                    = Y2 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5421,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl905,zip_derived_cl2890,zip_derived_cl2891,zip_derived_cl2892]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ITP005^5 : TPTP v9.2.0. Bugfixed v7.5.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rfqyoa6OxT true
% 0.12/0.35  % Computer : n026.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Wed Oct  1 15:30:24 EDT 2025
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in HO mode
% 0.20/0.57  % Total configuration time : 828
% 0.20/0.57  % Estimated wc time : 1656
% 0.20/0.57  % Estimated cpu time (8 cpus) : 207.0
% 0.96/0.65  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.96/0.69  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.96/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.96/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.96/0.70  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.96/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.96/0.70  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.96/0.70  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.30/1.13  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 74.10/9.90  % Solved by lams/15_e_short1.sh.
% 74.10/9.90  % done 285 iterations in 9.160s
% 74.10/9.90  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 74.10/9.90  % SZS output start Refutation
% See solution above
% 74.10/9.90  
% 74.10/9.90  
% 74.10/9.90  % Terminating...
% 74.19/10.05  % Runner terminated.
% 74.19/10.07  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------