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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP119^1 : 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.e046dOn0QU 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 04:38:53 PM UTC 2025

% Result   : Theorem 0.51s 0.90s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   27 (  21 unt;   0 typ;   0 def)
%            Number of atoms       :   39 (  17 equ;   3 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   93 (   7   ~;   1   |;   0   &;  77   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   6 usr;   6 con; 0-2 aty)
%                                         (   4  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   15 (   4   ^;  11   !;   0   ?;  15   :)

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

thf(b_type,type,
    b: a ).

thf(a2_type,type,
    a2: a ).

thf(inf_type,type,
    inf: a > a > a ).

thf(sup_type,type,
    sup: a > a > a ).

thf(less_type,type,
    less: a > a > $o ).

thf(c_type,type,
    c: a ).

thf(conj_3,axiom,
    less @ b @ ( sup @ b @ c ) ).

thf(zip_derived_cl355,plain,
    less @ b @ ( sup @ b @ c ),
    inference(cnf,[status(esa)],[conj_3]) ).

thf(conj_2,axiom,
    ( a2
    = ( sup @ b @ c ) ) ).

thf(zip_derived_cl354,plain,
    ( a2
    = ( sup @ b @ c ) ),
    inference(cnf,[status(esa)],[conj_2]) ).

thf(zip_derived_cl434,plain,
    less @ b @ a2,
    inference(demod,[status(thm)],[zip_derived_cl355,zip_derived_cl354]) ).

thf(zip_derived_cl354_001,plain,
    ( a2
    = ( sup @ b @ c ) ),
    inference(cnf,[status(esa)],[conj_2]) ).

thf(conj_4,axiom,
    ( ( inf @ c @ ( sup @ b @ c ) )
    = c ) ).

thf(zip_derived_cl356,plain,
    ( ( inf @ c @ ( sup @ b @ c ) )
    = c ),
    inference(cnf,[status(esa)],[conj_4]) ).

thf(zip_derived_cl354_002,plain,
    ( a2
    = ( sup @ b @ c ) ),
    inference(cnf,[status(esa)],[conj_2]) ).

thf(conj_1,axiom,
    ( ( inf @ c @ ( sup @ b @ c ) )
    = b ) ).

thf(zip_derived_cl353,plain,
    ( ( inf @ c @ ( sup @ b @ c ) )
    = b ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl354_003,plain,
    ( a2
    = ( sup @ b @ c ) ),
    inference(cnf,[status(esa)],[conj_2]) ).

thf(zip_derived_cl430,plain,
    ( ( inf @ c @ a2 )
    = b ),
    inference(demod,[status(thm)],[zip_derived_cl353,zip_derived_cl354]) ).

thf(zip_derived_cl442,plain,
    b = c,
    inference(demod,[status(thm)],[zip_derived_cl356,zip_derived_cl354,zip_derived_cl430]) ).

thf(zip_derived_cl444,plain,
    ( a2
    = ( sup @ b @ b ) ),
    inference(demod,[status(thm)],[zip_derived_cl354,zip_derived_cl442]) ).

thf(fact_51_local_Osup_Oidem,axiom,
    ! [A: a] :
      ( ( sup @ A @ A )
      = A ) ).

thf(zip_derived_cl51,plain,
    ( !!
    @ ^ [Y0: a] :
        ( ( sup @ Y0 @ Y0 )
        = Y0 ) ),
    inference(cnf,[status(esa)],[fact_51_local_Osup_Oidem]) ).

thf(zip_derived_cl470,plain,
    ! [X2: a] :
      ( ( sup @ X2 @ X2 )
      = X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl51]) ).

thf(zip_derived_cl471,plain,
    ! [X2: a] :
      ( ( sup @ X2 @ X2 )
      = X2 ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl470]) ).

thf(zip_derived_cl472,plain,
    a2 = b,
    inference(demod,[status(thm)],[zip_derived_cl444,zip_derived_cl471]) ).

thf(fact_0_local_Odual__order_Oasym,axiom,
    ! [B: a,A: a] :
      ( ( less @ B @ A )
     => ~ ( less @ A @ B ) ) ).

thf(zip_derived_cl0,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( ( less @ Y0 @ Y1 )
           => ( (~) @ ( less @ Y1 @ Y0 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_0_local_Odual__order_Oasym]) ).

thf(zip_derived_cl370,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( less @ X2 @ Y0 )
         => ( (~) @ ( less @ Y0 @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl371,plain,
    ! [X2: a,X4: a] :
      ( ( less @ X2 @ X4 )
     => ( (~) @ ( less @ X4 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl370]) ).

thf(zip_derived_cl372,plain,
    ! [X2: a,X4: a] :
      ( ~ ( less @ X2 @ X4 )
      | ~ ( less @ X4 @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl371]) ).

thf(zip_derived_cl373,plain,
    ! [X0: a] :
      ~ ( less @ X0 @ X0 ),
    inference(eq_fact,[status(thm)],[zip_derived_cl372]) ).

thf(zip_derived_cl473,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl434,zip_derived_cl472,zip_derived_cl373]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : ITP119^1 : TPTP v9.2.0. Released v7.5.0.
% 0.02/0.10  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.e046dOn0QU true
% 0.09/0.30  % Computer : n025.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Wed Oct  1 15:28:23 EDT 2025
% 0.09/0.30  % CPUTime  : 
% 0.09/0.30  % Running portfolio for 300 s
% 0.09/0.30  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.31  % Number of cores: 8
% 0.09/0.31  % Python version: Python 3.6.8
% 0.09/0.31  % Running in HO mode
% 0.47/0.61  % Total configuration time : 828
% 0.47/0.61  % Estimated wc time : 1656
% 0.47/0.61  % Estimated cpu time (8 cpus) : 207.0
% 0.47/0.67  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.47/0.68  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.47/0.68  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.47/0.68  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.47/0.68  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.47/0.69  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.47/0.69  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.47/0.69  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.47/0.72  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.48/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 0.48/0.74  % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 0.48/0.75  % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s
% 0.48/0.75  % /export/starexec/sandbox/solver/bin/lams/33_shallow_sine.sh running for 66s
% 0.48/0.75  % /export/starexec/sandbox/solver/bin/lams/40_e_lift.sh running for 80s
% 0.49/0.78  % /export/starexec/sandbox/solver/bin/lams/15_lifting1.sh running for 30s
% 0.49/0.79  % /export/starexec/sandbox/solver/bin/lams/8_new_cnf.sh running for 16s
% 0.49/0.80  % /export/starexec/sandbox/solver/bin/lams/10_e_short2.sh running for 20s
% 0.51/0.86  % /export/starexec/sandbox/solver/bin/lams/8_add_var_l_av.sh running for 16s
% 0.51/0.90  % Solved by lams/35_full_unif4.sh.
% 0.51/0.90  % done 87 iterations in 0.181s
% 0.51/0.90  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.90  % SZS output start Refutation
% See solution above
% 0.51/0.90  
% 0.51/0.90  
% 0.51/0.90  % Terminating...
% 0.56/1.01  % Runner terminated.
% 2.59/1.02  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------