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Leo-III---1.8.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : CSR034+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 07:00:11 AM UTC 2026

% Result   : Theorem 4.48s 2.66s
% Output   : Refutation 4.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   57
% Syntax   : Number of formulae    :  116 (  39 unt;   0 typ;   0 def)
%            Number of atoms       :  213 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  456 (   4   ~;   0   |;  22   &; 355   @)
%                                         (   0 <=>;  75  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   36 (  35 usr;  24 con; 0-2 aty)
%            Number of variables   :  139 (   0   ^; 136   !;   3   ?; 139   :)

% Comments : 
%------------------------------------------------------------------------------
thf(mtvisible_decl,type,
    mtvisible: $i > $o ).

thf(c_tptp_member3515_mt_decl,type,
    c_tptp_member3515_mt: $i ).

thf(isa_decl,type,
    isa: $i > $i > $o ).

thf(c_wanica_districtsuriname_decl,type,
    c_wanica_districtsuriname: $i ).

thf(microtheory_decl,type,
    microtheory: $i > $o ).

thf(f_contextofpcwfn_decl,type,
    f_contextofpcwfn: $i > $i ).

thf(genlmt_decl,type,
    genlmt: $i > $i > $o ).

thf(c_massmediadatamt_decl,type,
    c_massmediadatamt: $i ).

thf(c_ethnicgroupsmt_decl,type,
    c_ethnicgroupsmt: $i ).

thf(genls_decl,type,
    genls: $i > $i > $o ).

thf(collection_decl,type,
    collection: $i > $o ).

thf(c_ap_martha_stewart_omnimedia_names_chairman_decl,type,
    c_ap_martha_stewart_omnimedia_names_chairman: $i ).

thf(transitivebinarypredicate_decl,type,
    transitivebinarypredicate: $i > $o ).

thf(c_genlmt_decl,type,
    c_genlmt: $i ).

thf(disjointwith_decl,type,
    disjointwith: $i > $i > $o ).

thf(c_worldgeographydualistmt_decl,type,
    c_worldgeographydualistmt: $i ).

thf(c_worldgeographymt_decl,type,
    c_worldgeographymt: $i ).

thf(c_ethnicgroupsvocabularymt_decl,type,
    c_ethnicgroupsvocabularymt: $i ).

thf(c_worldcompletedualistgeographymt_decl,type,
    c_worldcompletedualistgeographymt: $i ).

thf(c_keinteractionresourcetestmt_decl,type,
    c_keinteractionresourcetestmt: $i ).

thf(c_testvocabularymt_decl,type,
    c_testvocabularymt: $i ).

thf(c_unitedstatesgeographydualistmt_decl,type,
    c_unitedstatesgeographydualistmt: $i ).

thf(c_tptp_spindleheadmt_decl,type,
    c_tptp_spindleheadmt: $i ).

thf(c_cyclistsmt_decl,type,
    c_cyclistsmt: $i ).

thf(c_nooescapearchitecturemt_decl,type,
    c_nooescapearchitecturemt: $i ).

thf(c_organizationdatamt_decl,type,
    c_organizationdatamt: $i ).

thf(c_hpkbvocabmt_decl,type,
    c_hpkbvocabmt: $i ).

thf(thing_decl,type,
    thing: $i > $o ).

thf(c_hpkb_subnationalagent_decl,type,
    c_hpkb_subnationalagent: $i ).

thf(hpkb_subnationalagent_decl,type,
    hpkb_subnationalagent: $i > $o ).

thf(c_state_geopolitical_decl,type,
    c_state_geopolitical: $i ).

thf(state_geopolitical_decl,type,
    state_geopolitical: $i > $o ).

thf(c_basekb_decl,type,
    c_basekb: $i ).

thf(c_universalvocabularymt_decl,type,
    c_universalvocabularymt: $i ).

thf(c_transitivebinarypredicate_decl,type,
    c_transitivebinarypredicate: $i ).

thf(35,axiom,
    c_hpkbvocabmt @ ( c_cyclistsmt @ genlmt ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just3) ).

thf(120,plain,
    c_hpkbvocabmt @ ( c_cyclistsmt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(46,axiom,
    ! [A: $i] :
      ( ( A @ hpkb_subnationalagent )
     => ( c_hpkb_subnationalagent @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just50) ).

thf(142,plain,
    ! [A: $i] :
      ( ( A @ hpkb_subnationalagent )
     => ( c_hpkb_subnationalagent @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(51,axiom,
    ( ( c_worldgeographymt @ mtvisible )
   => ( c_wanica_districtsuriname @ state_geopolitical ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).

thf(152,plain,
    ( ( c_worldgeographymt @ mtvisible )
   => ( c_wanica_districtsuriname @ state_geopolitical ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(56,axiom,
    ! [A: $i] :
      ( ( c_transitivebinarypredicate @ ( A @ isa ) )
     => ( A @ transitivebinarypredicate ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just42) ).

thf(160,plain,
    ! [A: $i] :
      ( ( c_transitivebinarypredicate @ ( A @ isa ) )
     => ( A @ transitivebinarypredicate ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(23,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( C @ ( A @ genls ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just61) ).

thf(97,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( C @ ( A @ genls ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(43,axiom,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( C @ ( B @ disjointwith ) )
        & ( C @ ( A @ isa ) )
        & ( B @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just20) ).

thf(135,plain,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( C @ ( B @ disjointwith ) )
        & ( C @ ( A @ isa ) )
        & ( B @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(52,axiom,
    c_basekb @ mtvisible,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just38) ).

thf(154,plain,
    c_basekb @ mtvisible,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(55,axiom,
    ( ( c_hpkbvocabmt @ mtvisible )
   => ( c_hpkb_subnationalagent @ ( c_state_geopolitical @ genls ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).

thf(158,plain,
    ( ( c_hpkbvocabmt @ mtvisible )
   => ( c_hpkb_subnationalagent @ ( c_state_geopolitical @ genls ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(9,axiom,
    c_massmediadatamt @ ( c_ap_martha_stewart_omnimedia_names_chairman @ f_contextofpcwfn @ genlmt ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just17) ).

thf(75,plain,
    c_massmediadatamt @ ( c_ap_martha_stewart_omnimedia_names_chairman @ f_contextofpcwfn @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(48,axiom,
    c_tptp_spindleheadmt @ ( c_tptp_member3515_mt @ genlmt ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just19) ).

thf(146,plain,
    c_tptp_spindleheadmt @ ( c_tptp_member3515_mt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(41,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just45) ).

thf(131,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(6,axiom,
    ! [A: $i] :
      ( ( A @ collection )
     => ( A @ ( A @ genls ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just58) ).

thf(69,plain,
    ! [A: $i] :
      ( ( A @ collection )
     => ( A @ ( A @ genls ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(44,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ ( A @ genlmt ) )
        & ( A @ mtvisible ) )
     => ( B @ mtvisible ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just62) ).

thf(138,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ ( A @ genlmt ) )
        & ( A @ mtvisible ) )
     => ( B @ mtvisible ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(38,axiom,
    ! [A: $i] :
      ( ( A @ collection )
     => ( A @ ( A @ genls ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just59) ).

thf(125,plain,
    ! [A: $i] :
      ( ( A @ collection )
     => ( A @ ( A @ genls ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(54,axiom,
    c_universalvocabularymt @ mtvisible,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just70) ).

thf(157,plain,
    c_universalvocabularymt @ mtvisible,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(58,axiom,
    ! [A: $i] :
      ( ( A @ transitivebinarypredicate )
     => ( c_transitivebinarypredicate @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just43) ).

thf(164,plain,
    ! [A: $i] :
      ( ( A @ transitivebinarypredicate )
     => ( c_transitivebinarypredicate @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(28,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just54) ).

thf(106,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(36,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( B @ ( C @ disjointwith ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just37) ).

thf(121,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( B @ ( C @ disjointwith ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(15,axiom,
    c_worldcompletedualistgeographymt @ ( c_ethnicgroupsvocabularymt @ genlmt ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just2) ).

thf(84,plain,
    c_worldcompletedualistgeographymt @ ( c_ethnicgroupsvocabularymt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(49,axiom,
    ! [A: $i] :
      ( ( ( A @ state_geopolitical )
        & ( c_hpkbvocabmt @ mtvisible ) )
     => ( A @ hpkb_subnationalagent ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).

thf(147,plain,
    ! [A: $i] :
      ( ( ( A @ state_geopolitical )
        & ( c_hpkbvocabmt @ mtvisible ) )
     => ( A @ hpkb_subnationalagent ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(42,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ isa ) ) )
     => ( C @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just48) ).

thf(133,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ isa ) ) )
     => ( C @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(32,axiom,
    c_ap_martha_stewart_omnimedia_names_chairman @ f_contextofpcwfn @ ( c_organizationdatamt @ genlmt ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just16) ).

thf(116,plain,
    c_ap_martha_stewart_omnimedia_names_chairman @ f_contextofpcwfn @ ( c_organizationdatamt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(33,axiom,
    c_organizationdatamt @ ( c_nooescapearchitecturemt @ genlmt ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just4) ).

thf(117,plain,
    c_organizationdatamt @ ( c_nooescapearchitecturemt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(16,axiom,
    c_ethnicgroupsvocabularymt @ ( c_ethnicgroupsmt @ genlmt ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just15) ).

thf(85,plain,
    c_ethnicgroupsvocabularymt @ ( c_ethnicgroupsmt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(11,axiom,
    ! [A: $i] :
      ( ( A @ microtheory )
     => ( A @ ( A @ genlmt ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just69) ).

thf(77,plain,
    ! [A: $i] :
      ( ( A @ microtheory )
     => ( A @ ( A @ genlmt ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(22,axiom,
    c_cyclistsmt @ ( c_tptp_spindleheadmt @ genlmt ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just18) ).

thf(96,plain,
    c_cyclistsmt @ ( c_tptp_spindleheadmt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(8,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( B @ microtheory ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just64) ).

thf(73,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( B @ microtheory ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(40,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just47) ).

thf(128,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(27,axiom,
    c_nooescapearchitecturemt @ ( c_testvocabularymt @ genlmt ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).

thf(105,plain,
    c_nooescapearchitecturemt @ ( c_testvocabularymt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(3,axiom,
    ! [A: $i] : ( A @ f_contextofpcwfn @ microtheory ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just41) ).

thf(64,plain,
    ! [A: $i] : ( A @ f_contextofpcwfn @ microtheory ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(50,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just46) ).

thf(149,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(1,conjecture,
    ? [A: $i] :
      ( ( c_tptp_member3515_mt @ mtvisible )
     => ( A @ ( c_wanica_districtsuriname @ isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query34) ).

thf(2,negated_conjecture,
    ~ ? [A: $i] :
        ( ( c_tptp_member3515_mt @ mtvisible )
       => ( A @ ( c_wanica_districtsuriname @ isa ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(59,plain,
    ~ ? [A: $i] :
        ( ( c_tptp_member3515_mt @ mtvisible )
       => ( A @ ( c_wanica_districtsuriname @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(34,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just33) ).

thf(118,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(7,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( B @ ( C @ genls ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just60) ).

thf(71,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( B @ ( C @ genls ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(47,axiom,
    ! [A: $i] :
      ( ( c_state_geopolitical @ ( A @ isa ) )
     => ( A @ state_geopolitical ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just51) ).

thf(144,plain,
    ! [A: $i] :
      ( ( c_state_geopolitical @ ( A @ isa ) )
     => ( A @ state_geopolitical ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(17,axiom,
    c_testvocabularymt @ ( c_keinteractionresourcetestmt @ genlmt ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).

thf(86,plain,
    c_testvocabularymt @ ( c_keinteractionresourcetestmt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(31,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( A @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just56) ).

thf(113,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( A @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(13,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( B @ microtheory ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just63) ).

thf(81,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( B @ microtheory ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(10,axiom,
    c_genlmt @ transitivebinarypredicate,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).

thf(76,plain,
    c_genlmt @ transitivebinarypredicate,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(26,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( C @ ( A @ disjointwith ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just36) ).

thf(103,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( C @ ( A @ disjointwith ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(45,axiom,
    ! [A: $i] :
      ( ( c_hpkb_subnationalagent @ ( A @ isa ) )
     => ( A @ hpkb_subnationalagent ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just49) ).

thf(140,plain,
    ! [A: $i] :
      ( ( c_hpkb_subnationalagent @ ( A @ isa ) )
     => ( A @ hpkb_subnationalagent ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(20,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).

thf(91,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(4,axiom,
    c_ethnicgroupsmt @ ( c_massmediadatamt @ genlmt ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).

thf(66,plain,
    c_ethnicgroupsmt @ ( c_massmediadatamt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(53,axiom,
    ! [A: $i] :
      ( ( A @ state_geopolitical )
     => ( c_state_geopolitical @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just52) ).

thf(155,plain,
    ! [A: $i] :
      ( ( A @ state_geopolitical )
     => ( c_state_geopolitical @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(29,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( A @ microtheory ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just65) ).

thf(108,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( A @ microtheory ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(57,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just44) ).

thf(162,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(37,axiom,
    ! [A: $i] :
      ( ( A @ microtheory )
     => ( A @ ( A @ genlmt ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just68) ).

thf(123,plain,
    ! [A: $i] :
      ( ( A @ microtheory )
     => ( A @ ( A @ genlmt ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(5,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just53) ).

thf(67,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(39,axiom,
    c_worldgeographydualistmt @ ( c_unitedstatesgeographydualistmt @ genlmt ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).

thf(127,plain,
    c_worldgeographydualistmt @ ( c_unitedstatesgeographydualistmt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(24,axiom,
    c_keinteractionresourcetestmt @ ( c_cyclistsmt @ genlmt ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).

thf(99,plain,
    c_keinteractionresourcetestmt @ ( c_cyclistsmt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(18,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( A @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just55) ).

thf(87,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( A @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(12,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ ( B @ disjointwith ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just35) ).

thf(79,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ ( B @ disjointwith ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(21,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genlmt ) )
        & ( B @ ( A @ genlmt ) ) )
     => ( C @ ( A @ genlmt ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just67) ).

thf(94,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genlmt ) )
        & ( B @ ( A @ genlmt ) ) )
     => ( C @ ( A @ genlmt ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(14,axiom,
    c_worldgeographymt @ ( c_worldgeographydualistmt @ genlmt ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).

thf(83,plain,
    c_worldgeographymt @ ( c_worldgeographydualistmt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(25,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( A @ microtheory ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just66) ).

thf(100,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( A @ microtheory ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(19,axiom,
    c_unitedstatesgeographydualistmt @ ( c_worldcompletedualistgeographymt @ genlmt ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).

thf(90,plain,
    c_unitedstatesgeographydualistmt @ ( c_worldcompletedualistgeographymt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(30,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( C @ ( A @ genls ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just57) ).

thf(111,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( C @ ( A @ genls ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(166,plain,
    $false,
    inference(e,[status(thm)],[120,142,152,160,97,135,154,158,75,146,131,69,138,125,157,164,106,121,84,147,133,116,117,85,77,96,73,128,105,64,149,59,118,71,144,86,113,81,76,103,140,91,66,155,108,162,123,67,127,99,87,79,94,83,100,90,111]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR034+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.12/0.38  % Computer : n017.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sat Sep 26 23:59:33 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.86/0.97  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.22/1.20  % [INFO] 	 Parsing done (219ms). 
% 1.48/1.21  % [INFO] 	 Running in sequential loop mode. 
% 2.30/1.61  % [INFO] 	 eprover registered as external prover. 
% 2.30/1.62  % [INFO] 	 Scanning for conjecture ... 
% 2.49/1.72  % [INFO] 	 Found a conjecture (or negated_conjecture) and 70 axioms. Running axiom selection ... 
% 2.66/1.81  % [INFO] 	 Axiom selection finished. Selected 56 axioms (removed 14 axioms). 
% 2.66/1.87  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.66/1.88  % [INFO] 	 Type checking passed. 
% 2.66/1.89  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 4.48/2.66  % External prover 'e' found a proof!
% 4.48/2.66  % [INFO] 	 Killing All external provers ... 
% 4.48/2.66  % Time passed: 2127ms (effective reasoning time: 1442ms)
% 4.48/2.66  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 4.48/2.66  % Axioms used in derivation (56): just64, just10, just8, just16, just70, just12, just11, just67, just59, just60, just13, just61, just65, just20, just3, just62, just36, just51, just47, just53, just43, just17, just57, just15, just4, just52, just46, just35, just68, just63, just7, just42, just56, just34, just45, just19, just66, just49, just55, just1, just38, just6, just41, just37, just50, just18, just48, just54, just69, just33, just58, just5, just2, just44, just14, just9
% 4.48/2.66  % No. of inferences in proof: 116
% 4.48/2.66  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2127 ms resp. 1442 ms w/o parsing
% 4.82/2.75  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.82/2.75  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------