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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP211^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bHn6dtnVdX true

% Computer : n005.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 : Sat Feb 28 09:48:04 AM UTC 2026

% Result   : Theorem 134.74s 17.61s
% Output   : Refutation 134.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   18 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   39 (  13 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   73 (   7   ~;   6   |;   0   &;  55   @)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;  14   !;   0   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf(assn_type,type,
    assn: $tType ).

thf(produc3658429121746597890et_nat_type,type,
    produc3658429121746597890et_nat: $tType ).

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

thf(heap_e7401611519738050253t_unit_type,type,
    heap_e7401611519738050253t_unit: $tType ).

thf(set_Pr4532377907799695533_nat_o_type,type,
    set_Pr4532377907799695533_nat_o: $tType ).

thf(proper_type,type,
    proper: ( produc3658429121746597890et_nat > $o ) > $o ).

thf(abs_assn_type,type,
    abs_assn: ( produc3658429121746597890et_nat > $o ) > assn ).

thf(produc1824681642469235216et_nat_type,type,
    produc1824681642469235216et_nat: produc3658429121746597890et_nat > heap_e7401611519738050253t_unit ).

thf(produc7507926704131184380et_nat_type,type,
    produc7507926704131184380et_nat: heap_e7401611519738050253t_unit > set_nat > produc3658429121746597890et_nat ).

thf(produc8586169260539613262et_nat_type,type,
    produc8586169260539613262et_nat: produc3658429121746597890et_nat > set_nat ).

thf(rep_assn_type,type,
    rep_assn: assn > produc3658429121746597890et_nat > $o ).

thf(collec939566748876313656_nat_o_type,type,
    collec939566748876313656_nat_o: ( ( produc3658429121746597890et_nat > $o ) > $o ) > set_Pr4532377907799695533_nat_o ).

thf(one_assn_raw_type,type,
    one_assn_raw: produc3658429121746597890et_nat > $o ).

thf(h_type,type,
    h: produc3658429121746597890et_nat ).

thf(one_one_assn_type,type,
    one_one_assn: assn ).

thf(bot_bot_set_nat_type,type,
    bot_bot_set_nat: set_nat ).

thf(member6576561426505652726_nat_o_type,type,
    member6576561426505652726_nat_o: ( produc3658429121746597890et_nat > $o ) > set_Pr4532377907799695533_nat_o > $o ).

thf(conj_0,conjecture,
    ( ( rep_assn @ ( abs_assn @ one_assn_raw ) @ h )
  <=> ( ( produc8586169260539613262et_nat @ h )
      = bot_bot_set_nat ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( rep_assn @ ( abs_assn @ one_assn_raw ) @ h )
    <=> ( ( produc8586169260539613262et_nat @ h )
        = bot_bot_set_nat ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl1142,plain,
    ( ( ( produc8586169260539613262et_nat @ h )
     != bot_bot_set_nat )
    | ~ ( rep_assn @ ( abs_assn @ one_assn_raw ) @ h ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1141,plain,
    ( ( ( produc8586169260539613262et_nat @ h )
      = bot_bot_set_nat )
    | ( rep_assn @ ( abs_assn @ one_assn_raw ) @ h ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_78_one__assn__raw_Osimps,axiom,
    ! [H2: heap_e7401611519738050253t_unit,As: set_nat] :
      ( ( one_assn_raw @ ( produc7507926704131184380et_nat @ H2 @ As ) )
    <=> ( As = bot_bot_set_nat ) ) ).

thf(zip_derived_cl35,plain,
    ! [X0: heap_e7401611519738050253t_unit,X1: set_nat] :
      ( ( one_assn_raw @ ( produc7507926704131184380et_nat @ X0 @ X1 ) )
      | ( X1 != bot_bot_set_nat ) ),
    inference(cnf,[status(esa)],[fact_78_one__assn__raw_Osimps]) ).

thf(fact_4842_surjective__pairing,axiom,
    ! [T4: produc3658429121746597890et_nat] :
      ( T4
      = ( produc7507926704131184380et_nat @ ( produc1824681642469235216et_nat @ T4 ) @ ( produc8586169260539613262et_nat @ T4 ) ) ) ).

thf(zip_derived_cl1111,plain,
    ! [X0: produc3658429121746597890et_nat] :
      ( X0
      = ( produc7507926704131184380et_nat @ ( produc1824681642469235216et_nat @ X0 ) @ ( produc8586169260539613262et_nat @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_4842_surjective__pairing]) ).

thf(fact_76_one__assn__def,axiom,
    ( one_one_assn
    = ( abs_assn @ one_assn_raw ) ) ).

thf(zip_derived_cl32,plain,
    ( one_one_assn
    = ( abs_assn @ one_assn_raw ) ),
    inference(cnf,[status(esa)],[fact_76_one__assn__def]) ).

thf(zip_derived_cl34,plain,
    ! [X0: set_nat,X1: heap_e7401611519738050253t_unit] :
      ( ( X0 = bot_bot_set_nat )
      | ~ ( one_assn_raw @ ( produc7507926704131184380et_nat @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_78_one__assn__raw_Osimps]) ).

thf(fact_88_one__assn__proper,axiom,
    proper @ one_assn_raw ).

thf(zip_derived_cl47,plain,
    proper @ one_assn_raw,
    inference(cnf,[status(esa)],[fact_88_one__assn__proper]) ).

thf(fact_77_Abs__assn__inverse,axiom,
    ! [Y: produc3658429121746597890et_nat > $o] :
      ( ( member6576561426505652726_nat_o @ Y @ ( collec939566748876313656_nat_o @ proper ) )
     => ( ( rep_assn @ ( abs_assn @ Y ) )
        = Y ) ) ).

thf(zip_derived_cl33,plain,
    ! [X0: produc3658429121746597890et_nat > $o] :
      ( ( ( rep_assn @ ( abs_assn @ X0 ) )
        = X0 )
      | ~ ( member6576561426505652726_nat_o @ X0 @ ( collec939566748876313656_nat_o @ proper ) ) ),
    inference(cnf,[status(esa)],[fact_77_Abs__assn__inverse]) ).

thf(fact_102_mem__Collect__eq,axiom,
    ! [A2: produc3658429121746597890et_nat > $o,P: ( produc3658429121746597890et_nat > $o ) > $o] :
      ( ( member6576561426505652726_nat_o @ A2 @ ( collec939566748876313656_nat_o @ P ) )
    <=> ( P @ A2 ) ) ).

thf(zip_derived_cl63,plain,
    ! [X0: produc3658429121746597890et_nat > $o,X1: ( produc3658429121746597890et_nat > $o ) > $o] :
      ( ( member6576561426505652726_nat_o @ X0 @ ( collec939566748876313656_nat_o @ X1 ) )
      | ~ ( X1 @ X0 ) ),
    inference(cnf,[status(esa)],[fact_102_mem__Collect__eq]) ).

thf(zip_derived_cl16773,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl1142,zip_derived_cl1141,zip_derived_cl35,zip_derived_cl1111,zip_derived_cl32,zip_derived_cl34,zip_derived_cl47,zip_derived_cl33,zip_derived_cl63]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP211^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bHn6dtnVdX true
% 0.16/0.34  % Computer : n005.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Thu Feb 26 02:48:59 EST 2026
% 0.16/0.34  % CPUTime  : 
% 0.16/0.34  % Running portfolio for 300 s
% 0.16/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.34  % Number of cores: 8
% 0.16/0.35  % Python version: Python 3.6.8
% 0.16/0.35  % Running in HO mode
% 0.45/0.62  % Total configuration time : 828
% 0.45/0.62  % Estimated wc time : 1656
% 0.45/0.62  % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.70  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.70  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.72  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.53/0.73  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.53/0.74  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.53/0.74  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.53/0.78  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 4.92/1.20  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 134.74/17.61  % Solved by lams/40_c.s.sh.
% 134.74/17.61  % done 1011 iterations in 16.889s
% 134.74/17.61  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 134.74/17.61  % SZS output start Refutation
% See solution above
% 134.74/17.61  
% 134.74/17.61  
% 134.74/17.61  % Terminating...
% 18.88/17.72  % Runner terminated.
% 18.88/17.73  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------