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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : CSR032+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39

% Computer : n010.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 07:00:09 AM UTC 2026

% Result   : Theorem 4.63s 2.68s
% Output   : Refutation 5.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   56
% Syntax   : Number of formulae    :  114 (  29 unt;   0 typ;   0 def)
%            Number of atoms       :  217 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  484 (   4   ~;   0   |;  20   &; 377   @)
%                                         (   0 <=>;  83  =>;   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     :   32 (  31 usr;  16 con; 0-3 aty)
%            Number of variables   :  165 (   0   ^; 162   !;   3   ?; 165   :)

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

thf(c_reasoningaboutpossibleantecedentsmt_decl,type,
    c_reasoningaboutpossibleantecedentsmt: $i ).

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

thf(f_citynamedfn_decl,type,
    f_citynamedfn: $i > $i > $i ).

thf(s_agen_decl,type,
    s_agen: $i ).

thf(c_france_decl,type,
    c_france: $i ).

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

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

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

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

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

thf(c_individual_decl,type,
    c_individual: $i ).

thf(c_trajector_underspecified_decl,type,
    c_trajector_underspecified: $i ).

thf(location_underspecified_decl,type,
    location_underspecified: $i > $o ).

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

thf(c_humansociallifemt_decl,type,
    c_humansociallifemt: $i ).

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

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

thf(trajector_underspecified_decl,type,
    trajector_underspecified: $i > $o ).

thf(individual_decl,type,
    individual: $i > $o ).

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

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

thf(c_location_underspecified_decl,type,
    c_location_underspecified: $i ).

thf(c_thing_decl,type,
    c_thing: $i ).

thf(natargument_decl,type,
    natargument: $i > $i > $i > $o ).

thf(n_1_decl,type,
    n_1: $i ).

thf(natfunction_decl,type,
    natfunction: $i > $i > $o ).

thf(c_citynamedfn_decl,type,
    c_citynamedfn: $i ).

thf(city_decl,type,
    city: $i > $o ).

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

thf(n_2_decl,type,
    n_2: $i ).

thf(49,axiom,
    ! [A: $i] :
      ( ( A @ thing )
     => ( c_thing @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just42) ).

thf(153,plain,
    ! [A: $i] :
      ( ( A @ thing )
     => ( c_thing @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(10,axiom,
    ! [A: $i] :
      ( ( A @ location_underspecified )
     => ( A @ thing ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just5) ).

thf(78,plain,
    ! [A: $i] :
      ( ( A @ location_underspecified )
     => ( A @ thing ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(53,axiom,
    ! [A: $i] :
      ( ( c_transitivebinarypredicate @ ( A @ isa ) )
     => ( A @ transitivebinarypredicate ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just30) ).

thf(160,plain,
    ! [A: $i] :
      ( ( c_transitivebinarypredicate @ ( A @ isa ) )
     => ( A @ transitivebinarypredicate ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(42,axiom,
    ! [A: $i] :
      ( ( c_thing @ ( A @ isa ) )
     => ( A @ thing ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just41) ).

thf(141,plain,
    ! [A: $i] :
      ( ( c_thing @ ( A @ isa ) )
     => ( A @ thing ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(36,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just65) ).

thf(129,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(29,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genlmt ) )
        & ( B @ ( A @ genlmt ) ) )
     => ( C @ ( A @ genlmt ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just38) ).

thf(113,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genlmt ) )
        & ( B @ ( A @ genlmt ) ) )
     => ( C @ ( A @ genlmt ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(11,axiom,
    ! [A: $i] :
      ( ( A @ collection )
     => ( A @ ( A @ genls ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just53) ).

thf(80,plain,
    ! [A: $i] :
      ( ( A @ collection )
     => ( A @ ( A @ genls ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(54,axiom,
    ! [A: $i] :
      ( ( A @ transitivebinarypredicate )
     => ( c_transitivebinarypredicate @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).

thf(162,plain,
    ! [A: $i] :
      ( ( A @ transitivebinarypredicate )
     => ( c_transitivebinarypredicate @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(43,axiom,
    c_universalvocabularymt @ mtvisible,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just67) ).

thf(143,plain,
    c_universalvocabularymt @ mtvisible,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(21,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just48) ).

thf(99,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(6,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( B @ microtheory ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).

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

thf(40,axiom,
    c_basekb @ mtvisible,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just32) ).

thf(138,plain,
    c_basekb @ mtvisible,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(22,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just25) ).

thf(101,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(16,axiom,
    ! [A: $i] :
      ( ( A @ collection )
     => ( A @ ( A @ genls ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just52) ).

thf(88,plain,
    ! [A: $i] :
      ( ( A @ collection )
     => ( A @ ( A @ genls ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(30,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( B @ ( C @ genls ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just54) ).

thf(115,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( B @ ( C @ genls ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(32,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( C @ ( A @ genls ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just55) ).

thf(120,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( C @ ( A @ genls ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(28,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just26) ).

thf(110,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(51,axiom,
    c_france @ ( s_agen @ f_citynamedfn ) @ individual,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).

thf(157,plain,
    c_france @ ( s_agen @ f_citynamedfn ) @ individual,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(55,axiom,
    ! [A: $i,B: $i] : ( B @ ( n_2 @ ( B @ ( A @ f_citynamedfn ) @ natargument ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just60) ).

thf(164,plain,
    ! [A: $i,B: $i] : ( B @ ( n_2 @ ( B @ ( A @ f_citynamedfn ) @ natargument ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(25,axiom,
    c_location_underspecified @ ( c_trajector_underspecified @ genls ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).

thf(106,plain,
    c_location_underspecified @ ( c_trajector_underspecified @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(13,axiom,
    c_basekb @ ( c_humansociallifemt @ genlmt ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just6) ).

thf(84,plain,
    c_basekb @ ( c_humansociallifemt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(37,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just63) ).

thf(132,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(8,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( A @ microtheory ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just36) ).

thf(74,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( A @ microtheory ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(31,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( A @ microtheory ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just37) ).

thf(117,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( A @ microtheory ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(14,axiom,
    c_universalvocabularymt @ ( c_basekb @ genlmt ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).

thf(85,plain,
    c_universalvocabularymt @ ( c_basekb @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(18,axiom,
    ! [A: $i] :
      ( ( A @ individual )
     => ( A @ trajector_underspecified ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).

thf(92,plain,
    ! [A: $i] :
      ( ( A @ individual )
     => ( A @ trajector_underspecified ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(4,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( C @ ( A @ genls ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just51) ).

thf(65,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( C @ ( A @ genls ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(34,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just64) ).

thf(124,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(9,axiom,
    c_trajector_underspecified @ ( c_individual @ genls ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).

thf(77,plain,
    c_trajector_underspecified @ ( c_individual @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(20,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( A @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just50) ).

thf(96,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( A @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(38,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ ( A @ genlmt ) )
        & ( A @ mtvisible ) )
     => ( B @ mtvisible ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just33) ).

thf(134,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ ( A @ genlmt ) )
        & ( A @ mtvisible ) )
     => ( B @ mtvisible ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(24,axiom,
    c_genlmt @ transitivebinarypredicate,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).

thf(105,plain,
    c_genlmt @ transitivebinarypredicate,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(56,axiom,
    ! [A: $i] :
      ( ( A @ location_underspecified )
     => ( c_location_underspecified @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just44) ).

thf(166,plain,
    ! [A: $i] :
      ( ( A @ location_underspecified )
     => ( c_location_underspecified @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(46,axiom,
    ! [A: $i] :
      ( ( c_individual @ ( A @ isa ) )
     => ( A @ individual ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just56) ).

thf(148,plain,
    ! [A: $i] :
      ( ( c_individual @ ( A @ isa ) )
     => ( A @ individual ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(7,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( A @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just49) ).

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

thf(44,axiom,
    ! [A: $i] :
      ( ( A @ trajector_underspecified )
     => ( c_trajector_underspecified @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just46) ).

thf(144,plain,
    ! [A: $i] :
      ( ( A @ trajector_underspecified )
     => ( c_trajector_underspecified @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(15,axiom,
    ! [A: $i] :
      ( ( A @ trajector_underspecified )
     => ( A @ location_underspecified ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just3) ).

thf(86,plain,
    ! [A: $i] :
      ( ( A @ trajector_underspecified )
     => ( A @ location_underspecified ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(23,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just47) ).

thf(103,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(50,axiom,
    ! [A: $i] :
      ( ( A @ individual )
     => ( c_individual @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just57) ).

thf(155,plain,
    ! [A: $i] :
      ( ( A @ individual )
     => ( c_individual @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(27,axiom,
    ! [A: $i] :
      ( ( A @ microtheory )
     => ( A @ ( A @ genlmt ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just40) ).

thf(108,plain,
    ! [A: $i] :
      ( ( A @ microtheory )
     => ( A @ ( A @ genlmt ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(3,axiom,
    ! [A: $i] :
      ( ( A @ microtheory )
     => ( A @ ( A @ genlmt ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just39) ).

thf(63,plain,
    ! [A: $i] :
      ( ( A @ microtheory )
     => ( A @ ( A @ genlmt ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(47,axiom,
    c_humansociallifemt @ ( c_reasoningaboutpossibleantecedentsmt @ genlmt ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).

thf(150,plain,
    c_humansociallifemt @ ( c_reasoningaboutpossibleantecedentsmt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(5,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( C @ ( A @ disjointwith ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just28) ).

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

thf(35,axiom,
    ! [A: $i] :
      ( ( c_trajector_underspecified @ ( A @ isa ) )
     => ( A @ trajector_underspecified ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just45) ).

thf(127,plain,
    ! [A: $i] :
      ( ( c_trajector_underspecified @ ( A @ isa ) )
     => ( A @ trajector_underspecified ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(52,axiom,
    ! [A: $i] :
      ( ( c_location_underspecified @ ( A @ isa ) )
     => ( A @ location_underspecified ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just43) ).

thf(158,plain,
    ! [A: $i] :
      ( ( c_location_underspecified @ ( A @ isa ) )
     => ( A @ location_underspecified ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(41,axiom,
    ! [A: $i,B: $i] : ( c_citynamedfn @ ( B @ ( A @ f_citynamedfn ) @ natfunction ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just58) ).

thf(139,plain,
    ! [A: $i,B: $i] : ( c_citynamedfn @ ( B @ ( A @ f_citynamedfn ) @ natfunction ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(1,conjecture,
    ? [A: $i] :
      ( ( c_reasoningaboutpossibleantecedentsmt @ mtvisible )
     => ( A @ ( c_france @ ( s_agen @ f_citynamedfn ) @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query32) ).

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

thf(58,plain,
    ~ ? [A: $i] :
        ( ( c_reasoningaboutpossibleantecedentsmt @ mtvisible )
       => ( A @ ( c_france @ ( s_agen @ f_citynamedfn ) @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(12,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ ( B @ disjointwith ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just27) ).

thf(82,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ ( B @ disjointwith ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(48,axiom,
    ! [A: $i,B: $i] : ( B @ ( A @ f_citynamedfn ) @ city ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just61) ).

thf(151,plain,
    ! [A: $i,B: $i] : ( B @ ( A @ f_citynamedfn ) @ city ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(57,axiom,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( C @ ( B @ disjointwith ) )
        & ( C @ ( A @ isa ) )
        & ( B @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).

thf(168,plain,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( C @ ( B @ disjointwith ) )
        & ( C @ ( A @ isa ) )
        & ( B @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(45,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ isa ) ) )
     => ( C @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just66) ).

thf(146,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ isa ) ) )
     => ( C @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(26,axiom,
    c_thing @ ( c_location_underspecified @ genls ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just4) ).

thf(107,plain,
    c_thing @ ( c_location_underspecified @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(39,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just62) ).

thf(136,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(19,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( B @ microtheory ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just35) ).

thf(94,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( B @ microtheory ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(17,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( B @ ( C @ disjointwith ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just29) ).

thf(90,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( B @ ( C @ disjointwith ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(33,axiom,
    ! [A: $i,B: $i] : ( A @ ( n_1 @ ( B @ ( A @ f_citynamedfn ) @ natargument ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just59) ).

thf(122,plain,
    ! [A: $i,B: $i] : ( A @ ( n_1 @ ( B @ ( A @ f_citynamedfn ) @ natargument ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(171,plain,
    $false,
    inference(e,[status(thm)],[153,78,160,141,129,113,80,162,143,99,69,138,101,88,115,120,110,157,164,106,84,132,74,117,85,92,65,124,77,96,134,105,166,148,71,144,86,103,155,108,63,150,67,127,158,139,58,82,151,168,146,107,136,94,90,122]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR032+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.16/0.41  % Computer : n010.cluster.edu
% 0.16/0.41  % Model    : x86_64 x86_64
% 0.16/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41  % Memory   : 8046.5625MB
% 0.16/0.41  % OS       : Linux 6.8.0-71-generic
% 0.16/0.41  % CPULimit : 300
% 0.16/0.41  % WCLimit  : 300
% 0.16/0.41  % DateTime : Sun Sep 27 00:03:30 UTC 2026
% 0.16/0.42  % CPUTime  : 
% 0.16/0.42  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.87/1.00  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.45/1.22  % [INFO] 	 Parsing done (222ms). 
% 1.45/1.24  % [INFO] 	 Running in sequential loop mode. 
% 2.12/1.64  % [INFO] 	 eprover registered as external prover. 
% 2.12/1.65  % [INFO] 	 Scanning for conjecture ... 
% 2.36/1.75  % [INFO] 	 Found a conjecture (or negated_conjecture) and 67 axioms. Running axiom selection ... 
% 2.54/1.84  % [INFO] 	 Axiom selection finished. Selected 55 axioms (removed 12 axioms). 
% 2.78/1.90  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.78/1.91  % [INFO] 	 Type checking passed. 
% 2.78/1.92  % [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 ... 
% 4.63/2.68  % External prover 'e' found a proof!
% 4.63/2.68  % [INFO] 	 Killing All external provers ... 
% 4.63/2.68  % Time passed: 2117ms (effective reasoning time: 1434ms)
% 4.63/2.68  % 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)>
% 4.63/2.68  % Axioms used in derivation (55): just28, just64, just43, just10, just8, just63, just27, just12, just11, just59, just60, just33, just25, just9, just3, just62, just36, just51, just47, just53, just57, just26, just40, just4, just52, just46, just35, just7, just42, just56, just31, just67, just34, just45, just66, just49, just55, just1, just38, just6, just30, just41, just61, just29, just37, just50, just32, just39, just65, just48, just54, just58, just5, just2, just44
% 4.63/2.68  % No. of inferences in proof: 114
% 4.63/2.68  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2117 ms resp. 1434 ms w/o parsing
% 5.01/2.77  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.01/2.77  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------