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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : CSR073+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 : n018.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 07:01:11 AM UTC 2026

% Result   : Theorem 4.16s 2.57s
% Output   : Refutation 4.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   52
% Syntax   : Number of formulae    :  106 (  23 unt;   0 typ;   0 def)
%            Number of atoms       :  201 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  428 (   4   ~;   0   |;  14   &; 329   @)
%                                         (   0 <=>;  81  =>;   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     :   31 (  30 usr;  14 con; 0-2 aty)
%            Number of variables   :  153 (   0   ^; 150   !;   3   ?; 153   :)

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

thf(c_tptp_spindlecollectormt_decl,type,
    c_tptp_spindlecollectormt: $i ).

thf(tptptypes_5_387_decl,type,
    tptptypes_5_387: $i > $i > $o ).

thf(c_pushingababycarriage_decl,type,
    c_pushingababycarriage: $i ).

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

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

thf(tptptypes_8_400_decl,type,
    tptptypes_8_400: $i > $i > $o ).

thf(tptptypes_7_396_decl,type,
    tptptypes_7_396: $i > $i > $o ).

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

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

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

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

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

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

thf(tptptypes_9_401_decl,type,
    tptptypes_9_401: $i > $i > $o ).

thf(firstordercollection_decl,type,
    firstordercollection: $i > $o ).

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

thf(tptptypes_6_388_decl,type,
    tptptypes_6_388: $i > $i > $o ).

thf(c_tptp_member3993_mt_decl,type,
    c_tptp_member3993_mt: $i ).

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

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

thf(c_calendarsvocabularymt_decl,type,
    c_calendarsvocabularymt: $i ).

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

thf(c_tptpcol_16_10258_decl,type,
    c_tptpcol_16_10258: $i ).

thf(tptpcol_16_10258_decl,type,
    tptpcol_16_10258: $i > $o ).

thf(c_calendarsmt_decl,type,
    c_calendarsmt: $i ).

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

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

thf(pushingababycarriage_decl,type,
    pushingababycarriage: $i > $o ).

thf(c_tptp_member237_mt_decl,type,
    c_tptp_member237_mt: $i ).

thf(48,axiom,
    c_tptp_member3993_mt @ ( c_tptp_spindlecollectormt @ genlmt ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just17) ).

thf(152,plain,
    c_tptp_member3993_mt @ ( c_tptp_spindlecollectormt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(30,axiom,
    c_calendarsvocabularymt @ ( c_calendarsmt @ genlmt ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).

thf(117,plain,
    c_calendarsvocabularymt @ ( c_calendarsmt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(40,axiom,
    c_calendarsmt @ ( c_cyclistsmt @ genlmt ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just4) ).

thf(137,plain,
    c_calendarsmt @ ( c_cyclistsmt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(51,axiom,
    c_universalvocabularymt @ mtvisible,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just67) ).

thf(156,plain,
    c_universalvocabularymt @ mtvisible,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(36,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just54) ).

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

thf(39,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ isa ) ) )
     => ( C @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just58) ).

thf(135,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ isa ) ) )
     => ( C @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(5,axiom,
    c_genlmt @ transitivebinarypredicate,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).

thf(63,plain,
    c_genlmt @ transitivebinarypredicate,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(35,axiom,
    ! [A: $i] :
      ( ( A @ microtheory )
     => ( A @ ( A @ genlmt ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just66) ).

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

thf(29,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( A @ microtheory ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just63) ).

thf(114,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( A @ microtheory ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(45,axiom,
    c_basekb @ mtvisible,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just51) ).

thf(146,plain,
    c_basekb @ mtvisible,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(41,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_7_396 ) )
     => ( B @ ( A @ tptptypes_6_388 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).

thf(138,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_7_396 ) )
     => ( B @ ( A @ tptptypes_6_388 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(23,axiom,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( C @ ( B @ disjointwith ) )
        & ( C @ ( A @ isa ) )
        & ( B @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just19) ).

thf(101,plain,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( C @ ( B @ disjointwith ) )
        & ( C @ ( A @ isa ) )
        & ( B @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(17,axiom,
    c_tptp_spindleheadmt @ ( c_tptp_member3993_mt @ genlmt ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just16) ).

thf(88,plain,
    c_tptp_spindleheadmt @ ( c_tptp_member3993_mt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(43,axiom,
    ! [A: $i] :
      ( ( A @ pushingababycarriage )
     => ( c_pushingababycarriage @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just29) ).

thf(142,plain,
    ! [A: $i] :
      ( ( A @ pushingababycarriage )
     => ( c_pushingababycarriage @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(49,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ ( A @ genlmt ) )
        & ( A @ mtvisible ) )
     => ( B @ mtvisible ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just59) ).

thf(153,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ ( A @ genlmt ) )
        & ( A @ mtvisible ) )
     => ( B @ mtvisible ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(27,axiom,
    ! [A: $i] :
      ( ( c_tptpcol_16_10258 @ ( A @ isa ) )
     => ( A @ tptpcol_16_10258 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just26) ).

thf(110,plain,
    ! [A: $i] :
      ( ( c_tptpcol_16_10258 @ ( A @ isa ) )
     => ( A @ tptpcol_16_10258 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(34,axiom,
    ! [A: $i] :
      ( ( A @ tptpcol_16_10258 )
     => ( c_tptpcol_16_10258 @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just27) ).

thf(125,plain,
    ! [A: $i] :
      ( ( A @ tptpcol_16_10258 )
     => ( c_tptpcol_16_10258 @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(52,axiom,
    ( ( c_tptp_member237_mt @ mtvisible )
   => ( c_tptpcol_16_10258 @ ( c_pushingababycarriage @ tptptypes_9_401 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just18) ).

thf(157,plain,
    ( ( c_tptp_member237_mt @ mtvisible )
   => ( c_tptpcol_16_10258 @ ( c_pushingababycarriage @ tptptypes_9_401 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(32,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_9_401 ) )
     => ( A @ ( B @ tptptypes_8_400 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).

thf(121,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_9_401 ) )
     => ( A @ ( B @ tptptypes_8_400 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(15,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_8_400 ) )
     => ( B @ firstordercollection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just36) ).

thf(84,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_8_400 ) )
     => ( B @ firstordercollection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(46,axiom,
    ! [A: $i] :
      ( ( c_pushingababycarriage @ ( A @ isa ) )
     => ( A @ pushingababycarriage ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just28) ).

thf(147,plain,
    ! [A: $i] :
      ( ( c_pushingababycarriage @ ( A @ isa ) )
     => ( A @ pushingababycarriage ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(4,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_8_400 ) )
     => ( B @ ( A @ tptptypes_7_396 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).

thf(61,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_8_400 ) )
     => ( B @ ( A @ tptptypes_7_396 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(18,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( A @ microtheory ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just62) ).

thf(89,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( A @ microtheory ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(11,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_9_401 ) )
     => ( B @ firstordercollection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just30) ).

thf(74,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_9_401 ) )
     => ( B @ firstordercollection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(19,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genlmt ) )
        & ( B @ ( A @ genlmt ) ) )
     => ( C @ ( A @ genlmt ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just64) ).

thf(92,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genlmt ) )
        & ( B @ ( A @ genlmt ) ) )
     => ( C @ ( A @ genlmt ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(21,axiom,
    ! [A: $i] :
      ( ( c_transitivebinarypredicate @ ( A @ isa ) )
     => ( A @ transitivebinarypredicate ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just52) ).

thf(97,plain,
    ! [A: $i] :
      ( ( c_transitivebinarypredicate @ ( A @ isa ) )
     => ( A @ transitivebinarypredicate ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(38,axiom,
    c_universalvocabularymt @ ( c_basekb @ genlmt ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just3) ).

thf(134,plain,
    c_universalvocabularymt @ ( c_basekb @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(10,axiom,
    c_cyclistsmt @ ( c_tptp_spindleheadmt @ genlmt ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).

thf(73,plain,
    c_cyclistsmt @ ( c_tptp_spindleheadmt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(25,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_6_388 ) )
     => ( A @ firstordercollection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just43) ).

thf(105,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_6_388 ) )
     => ( A @ firstordercollection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(6,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( B @ ( C @ disjointwith ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just25) ).

thf(64,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( B @ ( C @ disjointwith ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(47,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_5_387 ) )
     => ( A @ firstordercollection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just41) ).

thf(149,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_5_387 ) )
     => ( A @ firstordercollection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(3,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( C @ ( A @ disjointwith ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just24) ).

thf(59,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( C @ ( A @ disjointwith ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(31,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just56) ).

thf(118,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(9,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ ( B @ disjointwith ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just23) ).

thf(71,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ ( B @ disjointwith ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(1,conjecture,
    ? [A: $i] :
      ( ( c_tptp_spindlecollectormt @ mtvisible )
     => ( c_pushingababycarriage @ ( A @ tptptypes_5_387 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query73) ).

thf(2,negated_conjecture,
    ~ ? [A: $i] :
        ( ( c_tptp_spindlecollectormt @ mtvisible )
       => ( c_pushingababycarriage @ ( A @ tptptypes_5_387 ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(54,plain,
    ~ ? [A: $i] :
        ( ( c_tptp_spindlecollectormt @ mtvisible )
       => ( c_pushingababycarriage @ ( A @ tptptypes_5_387 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(44,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_5_387 ) )
     => ( B @ firstordercollection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just40) ).

thf(144,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_5_387 ) )
     => ( B @ firstordercollection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(16,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_6_388 ) )
     => ( B @ firstordercollection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just42) ).

thf(86,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_6_388 ) )
     => ( B @ firstordercollection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(53,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_6_388 ) )
     => ( B @ ( A @ tptptypes_5_387 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).

thf(159,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_6_388 ) )
     => ( B @ ( A @ tptptypes_5_387 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(14,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_8_400 ) )
     => ( A @ firstordercollection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just37) ).

thf(81,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_8_400 ) )
     => ( A @ firstordercollection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(12,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_7_396 ) )
     => ( A @ firstordercollection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just39) ).

thf(76,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_7_396 ) )
     => ( A @ firstordercollection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(42,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( B @ microtheory ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just61) ).

thf(140,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( B @ microtheory ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(7,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just21) ).

thf(66,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(50,axiom,
    c_tptp_member237_mt @ ( c_tptp_spindlecollectormt @ genlmt ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just15) ).

thf(155,plain,
    c_tptp_member237_mt @ ( c_tptp_spindlecollectormt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(26,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_7_396 ) )
     => ( B @ firstordercollection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just38) ).

thf(108,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_7_396 ) )
     => ( B @ firstordercollection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(28,axiom,
    ! [A: $i] :
      ( ( A @ microtheory )
     => ( A @ ( A @ genlmt ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just65) ).

thf(112,plain,
    ! [A: $i] :
      ( ( A @ microtheory )
     => ( A @ ( A @ genlmt ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(33,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just55) ).

thf(123,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(22,axiom,
    ! [A: $i] :
      ( ( A @ transitivebinarypredicate )
     => ( c_transitivebinarypredicate @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just53) ).

thf(99,plain,
    ! [A: $i] :
      ( ( A @ transitivebinarypredicate )
     => ( c_transitivebinarypredicate @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(24,axiom,
    c_basekb @ ( c_calendarsvocabularymt @ genlmt ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just5) ).

thf(104,plain,
    c_basekb @ ( c_calendarsvocabularymt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(13,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( B @ microtheory ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just60) ).

thf(79,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( B @ microtheory ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(20,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_9_401 ) )
     => ( A @ firstordercollection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).

thf(94,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_9_401 ) )
     => ( A @ firstordercollection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(37,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just57) ).

thf(131,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(8,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just22) ).

thf(68,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(161,plain,
    $false,
    inference(e,[status(thm)],[152,117,137,156,129,135,63,127,114,146,138,101,88,142,153,110,125,157,121,84,147,61,89,74,92,97,134,73,105,64,149,59,118,71,54,144,86,159,81,76,140,66,155,108,112,123,99,104,79,94,131,68]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR073+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07  % 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
% 0.13/0.40  % Computer : n018.cluster.edu
% 0.13/0.40  % Model    : x86_64 x86_64
% 0.13/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40  % Memory   : 8046.5625MB
% 0.13/0.40  % OS       : Linux 6.8.0-71-generic
% 0.13/0.40  % CPULimit : 300
% 0.13/0.40  % WCLimit  : 300
% 0.13/0.40  % DateTime : Sun Sep 27 00:40:23 UTC 2026
% 0.13/0.40  % CPUTime  : 
% 0.13/0.40  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
% 0.83/0.99  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.41/1.21  % [INFO] 	 Parsing done (222ms). 
% 1.41/1.23  % [INFO] 	 Running in sequential loop mode. 
% 2.11/1.61  % [INFO] 	 eprover registered as external prover. 
% 2.11/1.61  % [INFO] 	 Scanning for conjecture ... 
% 2.27/1.71  % [INFO] 	 Found a conjecture (or negated_conjecture) and 67 axioms. Running axiom selection ... 
% 2.27/1.79  % [INFO] 	 Axiom selection finished. Selected 51 axioms (removed 16 axioms). 
% 2.47/1.85  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.47/1.86  % [INFO] 	 Type checking passed. 
% 2.47/1.86  % [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 ... 
% 4.16/2.56  % External prover 'e' found a proof!
% 4.16/2.56  % [INFO] 	 Killing All external provers ... 
% 4.16/2.56  % Time passed: 2018ms (effective reasoning time: 1329ms)
% 4.16/2.56  % 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)>
% 4.16/2.57  % Axioms used in derivation (51): just53, just28, just64, just63, just16, just27, just19, just60, just13, just54, just25, just3, just62, just36, just51, just21, just43, just17, just57, just26, just15, just40, just4, just52, just23, just22, just11, just7, just42, just56, just31, just67, just66, just55, just1, just38, just59, just24, just30, just41, just61, just29, just37, just18, just39, just65, just58, just2, just5, just14, just9
% 4.16/2.57  % No. of inferences in proof: 106
% 4.16/2.57  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2018 ms resp. 1329 ms w/o parsing
% 4.47/2.65  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.47/2.65  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------