%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP197^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nGdeBcFR28 true

% Computer : n007.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 Aug 31 05:22:48 EDT 2023

% Result   : Theorem 6.88s 1.57s
% Output   : Refutation 6.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   38 (  15 unt;  15 typ;   0 def)
%            Number of atoms       :   33 (  26 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  118 (  13   ~;   8   |;   0   &;  95   @)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^;  18   !;   0   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_M1694694083scheme_type,type,
    type_M1694694083scheme: $tType ).

thf(type_Mirabelle_typ_type,type,
    type_Mirabelle_typ: $tType ).

thf(nat_type,type,
    nat: $tType ).

thf(set_nat_type,type,
    set_nat: $tType ).

thf(x_type,type,
    x: nat ).

thf(type_M1006385707scheme_type,type,
    type_M1006385707scheme: type_Mirabelle_typ > type_M1694694083scheme ).

thf(s2_type,type,
    s2: nat > type_Mirabelle_typ ).

thf(type_M876316792e_FVar_type,type,
    type_M876316792e_FVar: nat > type_M1694694083scheme ).

thf(insert_nat_type,type,
    insert_nat: nat > set_nat > set_nat ).

thf(s1_type,type,
    s1: nat > type_Mirabelle_typ ).

thf(member_nat_type,type,
    member_nat: nat > set_nat > $o ).

thf(n_type,type,
    n: nat ).

thf(type_M1050318637scheme_type,type,
    type_M1050318637scheme: type_M1694694083scheme > set_nat ).

thf(type_M1690910139scheme_type,type,
    type_M1690910139scheme: ( nat > type_Mirabelle_typ ) > type_M1694694083scheme > type_M1694694083scheme ).

thf(bot_bot_set_nat_type,type,
    bot_bot_set_nat: set_nat ).

thf(fact_35_mk__scheme__injective,axiom,
    ! [T: type_Mirabelle_typ,T3: type_Mirabelle_typ] :
      ( ( ( type_M1006385707scheme @ T )
        = ( type_M1006385707scheme @ T3 ) )
     => ( T = T3 ) ) ).

thf(zip_derived_cl61,plain,
    ! [X0: type_Mirabelle_typ,X1: type_Mirabelle_typ] :
      ( ( X1 = X0 )
      | ( ( type_M1006385707scheme @ X1 )
       != ( type_M1006385707scheme @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_35_mk__scheme__injective]) ).

thf(conj_0,conjecture,
    ( ( ( type_M1690910139scheme @ s1 @ ( type_M876316792e_FVar @ x ) )
     != ( type_M1690910139scheme @ s2 @ ( type_M876316792e_FVar @ x ) ) )
    | ~ ( member_nat @ n @ ( type_M1050318637scheme @ ( type_M876316792e_FVar @ x ) ) )
    | ( ( s1 @ n )
      = ( s2 @ n ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( type_M1690910139scheme @ s1 @ ( type_M876316792e_FVar @ x ) )
       != ( type_M1690910139scheme @ s2 @ ( type_M876316792e_FVar @ x ) ) )
      | ~ ( member_nat @ n @ ( type_M1050318637scheme @ ( type_M876316792e_FVar @ x ) ) )
      | ( ( s1 @ n )
        = ( s2 @ n ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl585,plain,
    ( ( s1 @ n )
   != ( s2 @ n ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2167,plain,
    ! [X0: type_Mirabelle_typ] :
      ( ( ( s1 @ n )
       != X0 )
      | ( ( type_M1006385707scheme @ ( s2 @ n ) )
       != ( type_M1006385707scheme @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl585]) ).

thf(zip_derived_cl587,plain,
    ( ( type_M1690910139scheme @ s1 @ ( type_M876316792e_FVar @ x ) )
    = ( type_M1690910139scheme @ s2 @ ( type_M876316792e_FVar @ x ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_3_app__subst__type__scheme_Osimps_I1_J,axiom,
    ! [S: nat > type_Mirabelle_typ,N2: nat] :
      ( ( type_M1690910139scheme @ S @ ( type_M876316792e_FVar @ N2 ) )
      = ( type_M1006385707scheme @ ( S @ N2 ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: nat > type_Mirabelle_typ,X1: nat] :
      ( ( type_M1690910139scheme @ X0 @ ( type_M876316792e_FVar @ X1 ) )
      = ( type_M1006385707scheme @ ( X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_3_app__subst__type__scheme_Osimps_I1_J]) ).

thf(zip_derived_cl6_001,plain,
    ! [X0: nat > type_Mirabelle_typ,X1: nat] :
      ( ( type_M1690910139scheme @ X0 @ ( type_M876316792e_FVar @ X1 ) )
      = ( type_M1006385707scheme @ ( X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_3_app__subst__type__scheme_Osimps_I1_J]) ).

thf(zip_derived_cl972,plain,
    ( ( type_M1006385707scheme @ ( s1 @ x ) )
    = ( type_M1006385707scheme @ ( s2 @ x ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl587,zip_derived_cl6,zip_derived_cl6]) ).

thf(zip_derived_cl586,plain,
    member_nat @ n @ ( type_M1050318637scheme @ ( type_M876316792e_FVar @ x ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_15_free__tv__type__scheme_Osimps_I1_J,axiom,
    ! [M: nat] :
      ( ( type_M1050318637scheme @ ( type_M876316792e_FVar @ M ) )
      = ( insert_nat @ M @ bot_bot_set_nat ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: nat] :
      ( ( type_M1050318637scheme @ ( type_M876316792e_FVar @ X0 ) )
      = ( insert_nat @ X0 @ bot_bot_set_nat ) ),
    inference(cnf,[status(esa)],[fact_15_free__tv__type__scheme_Osimps_I1_J]) ).

thf(zip_derived_cl1013,plain,
    member_nat @ n @ ( insert_nat @ x @ bot_bot_set_nat ),
    inference(demod,[status(thm)],[zip_derived_cl586,zip_derived_cl18]) ).

thf(fact_89_singleton__iff,axiom,
    ! [B2: nat,A: nat] :
      ( ( member_nat @ B2 @ ( insert_nat @ A @ bot_bot_set_nat ) )
    <=> ( B2 = A ) ) ).

thf(zip_derived_cl166,plain,
    ! [X0: nat,X1: nat] :
      ( ( X1 = X0 )
      | ~ ( member_nat @ X1 @ ( insert_nat @ X0 @ bot_bot_set_nat ) ) ),
    inference(cnf,[status(esa)],[fact_89_singleton__iff]) ).

thf(zip_derived_cl1024,plain,
    n = x,
    inference('sup-',[status(thm)],[zip_derived_cl1013,zip_derived_cl166]) ).

thf(zip_derived_cl1024_002,plain,
    n = x,
    inference('sup-',[status(thm)],[zip_derived_cl1013,zip_derived_cl166]) ).

thf(zip_derived_cl1032,plain,
    ( ( type_M1006385707scheme @ ( s1 @ n ) )
    = ( type_M1006385707scheme @ ( s2 @ n ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl972,zip_derived_cl1024,zip_derived_cl1024]) ).

thf(zip_derived_cl2226,plain,
    ! [X0: type_Mirabelle_typ] :
      ( ( ( s1 @ n )
       != X0 )
      | ( ( type_M1006385707scheme @ ( s1 @ n ) )
       != ( type_M1006385707scheme @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2167,zip_derived_cl1032]) ).

thf(zip_derived_cl2227,plain,
    ( ( type_M1006385707scheme @ ( s1 @ n ) )
   != ( type_M1006385707scheme @ ( s1 @ n ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2226]) ).

thf(zip_derived_cl2228,plain,
    $false,
    inference('simplify_reflect+',[status(thm)],[zip_derived_cl2227]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : ITP197^1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nGdeBcFR28 true
% 0.16/0.36  % Computer : n007.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Sun Aug 27 13:51:12 EDT 2023
% 0.16/0.37  % CPUTime  : 
% 0.16/0.37  % Running portfolio for 300 s
% 0.16/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37  % Number of cores: 8
% 0.16/0.37  % Python version: Python 3.6.8
% 0.16/0.37  % Running in HO mode
% 0.23/0.67  % Total configuration time : 828
% 0.23/0.67  % Estimated wc time : 1656
% 0.23/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.79  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.80  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.80  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.87  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 6.88/1.57  % Solved by lams/40_noforms.sh.
% 6.88/1.57  % done 337 iterations in 0.750s
% 6.88/1.57  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.88/1.57  % SZS output start Refutation
% See solution above
% 6.88/1.57  
% 6.88/1.57  
% 6.88/1.57  % Terminating...
% 8.02/1.68  % Runner terminated.
% 8.02/1.70  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------