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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : CSR062+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 : n012.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 07:00:52 AM UTC 2026

% Result   : Theorem 2.23s 10.37s
% Output   : Refutation 2.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   47
% Syntax   : Number of formulae    :   96 (  19 unt;   0 typ;   0 def)
%            Number of atoms       :  185 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  394 (   4   ~;   0   |;  14   &; 301   @)
%                                         (   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     :   28 (  27 usr;  12 con; 0-2 aty)
%            Number of variables   :  141 (   0   ^; 138   !;   3   ?; 141   :)

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

thf(c_tptp_member3205_mt_decl,type,
    c_tptp_member3205_mt: $i ).

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

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

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

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

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

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

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

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

thf(tptptypes_7_389_decl,type,
    tptptypes_7_389: $i > $i > $o ).

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

thf(tptpcol_15_4027_decl,type,
    tptpcol_15_4027: $i > $o ).

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

thf(c_tptpcol_15_4027_decl,type,
    c_tptpcol_15_4027: $i ).

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

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

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

thf(tptptypes_8_390_decl,type,
    tptptypes_8_390: $i > $i > $o ).

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

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

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

thf(pushingwithfingers_decl,type,
    pushingwithfingers: $i > $o ).

thf(26,axiom,
    ! [A: $i] :
      ( ( A @ transitivebinarypredicate )
     => ( c_transitivebinarypredicate @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just47) ).

thf(101,plain,
    ! [A: $i] :
      ( ( A @ transitivebinarypredicate )
     => ( c_transitivebinarypredicate @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(32,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just51) ).

thf(115,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(46,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_6_388 ) )
     => ( B @ ( A @ tptptypes_5_387 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).

thf(142,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_6_388 ) )
     => ( B @ ( A @ tptptypes_5_387 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(34,axiom,
    c_universalvocabularymt @ ( c_basekb @ genlmt ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just3) ).

thf(121,plain,
    c_universalvocabularymt @ ( c_basekb @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(18,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just48) ).

thf(85,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(24,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_7_389 ) )
     => ( A @ ( B @ tptptypes_6_388 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).

thf(97,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_7_389 ) )
     => ( A @ ( B @ tptptypes_6_388 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(39,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_5_387 ) )
     => ( B @ firstordercollection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).

thf(129,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_5_387 ) )
     => ( B @ firstordercollection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(8,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( B @ ( C @ disjointwith ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just21) ).

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)],[8]) ).

thf(16,axiom,
    ! [A: $i] :
      ( ( A @ tptpcol_15_4027 )
     => ( c_tptpcol_15_4027 @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just23) ).

thf(81,plain,
    ! [A: $i] :
      ( ( A @ tptpcol_15_4027 )
     => ( c_tptpcol_15_4027 @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(42,axiom,
    c_basekb @ mtvisible,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just45) ).

thf(135,plain,
    c_basekb @ mtvisible,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

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

thf(75,plain,
    ! [A: $i] :
      ( ( A @ microtheory )
     => ( A @ ( A @ genlmt ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(40,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ ( A @ genlmt ) )
        & ( A @ mtvisible ) )
     => ( B @ mtvisible ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just53) ).

thf(131,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ ( A @ genlmt ) )
        & ( A @ mtvisible ) )
     => ( B @ mtvisible ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(30,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_8_390 ) )
     => ( B @ ( A @ tptptypes_7_389 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).

thf(110,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_8_390 ) )
     => ( B @ ( A @ tptptypes_7_389 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(36,axiom,
    c_basekb @ ( c_calendarsvocabularymt @ genlmt ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).

thf(125,plain,
    c_basekb @ ( c_calendarsvocabularymt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(22,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( A @ microtheory ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just57) ).

thf(93,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( A @ microtheory ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(5,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just17) ).

thf(57,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(7,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just18) ).

thf(61,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(20,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ isa ) ) )
     => ( C @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just52) ).

thf(89,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ isa ) ) )
     => ( C @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(41,axiom,
    ! [A: $i] :
      ( ( A @ pushingwithfingers )
     => ( c_pushingwithfingers @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just25) ).

thf(133,plain,
    ! [A: $i] :
      ( ( A @ pushingwithfingers )
     => ( c_pushingwithfingers @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(11,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_7_389 ) )
     => ( A @ firstordercollection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).

thf(70,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_7_389 ) )
     => ( A @ firstordercollection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(44,axiom,
    ! [A: $i] :
      ( ( c_pushingwithfingers @ ( A @ isa ) )
     => ( A @ pushingwithfingers ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just24) ).

thf(137,plain,
    ! [A: $i] :
      ( ( c_pushingwithfingers @ ( A @ isa ) )
     => ( A @ pushingwithfingers ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(14,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( B @ microtheory ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just54) ).

thf(77,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( B @ microtheory ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(23,axiom,
    c_calendarsmt @ ( c_cyclistsmt @ genlmt ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just4) ).

thf(96,plain,
    c_calendarsmt @ ( c_cyclistsmt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(12,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( B @ microtheory ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just55) ).

thf(73,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( B @ microtheory ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(28,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just50) ).

thf(105,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(6,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ ( B @ disjointwith ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just19) ).

thf(59,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ ( B @ disjointwith ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(33,axiom,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( C @ ( B @ disjointwith ) )
        & ( C @ ( A @ isa ) )
        & ( B @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just15) ).

thf(118,plain,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( C @ ( B @ disjointwith ) )
        & ( C @ ( A @ isa ) )
        & ( B @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(3,axiom,
    c_genlmt @ transitivebinarypredicate,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just2) ).

thf(54,plain,
    c_genlmt @ transitivebinarypredicate,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(47,axiom,
    c_tptp_spindleheadmt @ ( c_tptp_member3205_mt @ genlmt ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).

thf(144,plain,
    c_tptp_spindleheadmt @ ( c_tptp_member3205_mt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(1,conjecture,
    ? [A: $i] :
      ( ( c_tptp_member3205_mt @ mtvisible )
     => ( c_pushingwithfingers @ ( A @ tptptypes_5_387 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query62) ).

thf(2,negated_conjecture,
    ~ ? [A: $i] :
        ( ( c_tptp_member3205_mt @ mtvisible )
       => ( c_pushingwithfingers @ ( A @ tptptypes_5_387 ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(49,plain,
    ~ ? [A: $i] :
        ( ( c_tptp_member3205_mt @ mtvisible )
       => ( c_pushingwithfingers @ ( A @ tptptypes_5_387 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(27,axiom,
    ! [A: $i] :
      ( ( A @ microtheory )
     => ( A @ ( A @ genlmt ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just59) ).

thf(103,plain,
    ! [A: $i] :
      ( ( A @ microtheory )
     => ( A @ ( A @ genlmt ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(21,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_7_389 ) )
     => ( B @ firstordercollection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just28) ).

thf(91,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_7_389 ) )
     => ( B @ firstordercollection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(9,axiom,
    c_calendarsvocabularymt @ ( c_calendarsmt @ genlmt ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).

thf(66,plain,
    c_calendarsvocabularymt @ ( c_calendarsmt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(29,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_8_390 ) )
     => ( B @ firstordercollection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just26) ).

thf(108,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_8_390 ) )
     => ( B @ firstordercollection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

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

thf(112,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genlmt ) )
     => ( A @ microtheory ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(48,axiom,
    ( ( c_cyclistsmt @ mtvisible )
   => ( c_tptpcol_15_4027 @ ( c_pushingwithfingers @ tptptypes_8_390 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).

thf(145,plain,
    ( ( c_cyclistsmt @ mtvisible )
   => ( c_tptpcol_15_4027 @ ( c_pushingwithfingers @ tptptypes_8_390 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(10,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_6_388 ) )
     => ( A @ firstordercollection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just37) ).

thf(67,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_6_388 ) )
     => ( A @ firstordercollection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(38,axiom,
    ! [A: $i] :
      ( ( c_transitivebinarypredicate @ ( A @ isa ) )
     => ( A @ transitivebinarypredicate ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just46) ).

thf(127,plain,
    ! [A: $i] :
      ( ( c_transitivebinarypredicate @ ( A @ isa ) )
     => ( A @ transitivebinarypredicate ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(25,axiom,
    ! [A: $i] :
      ( ( c_tptpcol_15_4027 @ ( A @ isa ) )
     => ( A @ tptpcol_15_4027 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just22) ).

thf(99,plain,
    ! [A: $i] :
      ( ( c_tptpcol_15_4027 @ ( A @ isa ) )
     => ( A @ tptpcol_15_4027 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(19,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genlmt ) )
        & ( B @ ( A @ genlmt ) ) )
     => ( C @ ( A @ genlmt ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just58) ).

thf(87,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(4,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( C @ ( A @ disjointwith ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just20) ).

thf(55,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( C @ ( A @ disjointwith ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(45,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_5_387 ) )
     => ( A @ firstordercollection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just35) ).

thf(139,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_5_387 ) )
     => ( A @ firstordercollection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(15,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_6_388 ) )
     => ( B @ firstordercollection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just36) ).

thf(79,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_6_388 ) )
     => ( B @ firstordercollection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(37,axiom,
    c_cyclistsmt @ ( c_tptp_spindleheadmt @ genlmt ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).

thf(126,plain,
    c_cyclistsmt @ ( c_tptp_spindleheadmt @ genlmt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(43,axiom,
    c_universalvocabularymt @ mtvisible,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just61) ).

thf(136,plain,
    c_universalvocabularymt @ mtvisible,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(35,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_8_390 ) )
     => ( A @ firstordercollection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just27) ).

thf(122,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ tptptypes_8_390 ) )
     => ( A @ firstordercollection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(17,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just49) ).

thf(83,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(147,plain,
    $false,
    inference(e,[status(thm)],[101,115,142,121,85,97,129,64,81,135,75,131,110,125,93,57,61,89,133,70,137,77,96,73,105,59,118,54,144,49,103,91,66,108,112,145,67,127,99,87,55,139,79,126,136,122,83]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : CSR062+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % 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
% 0.07/9.28  % Computer : n012.cluster.edu
% 0.07/9.28  % Model    : x86_64 x86_64
% 0.07/9.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/9.28  % Memory   : 8046.5625MB
% 0.07/9.28  % OS       : Linux 6.8.0-71-generic
% 0.07/9.28  % CPULimit : 300
% 0.07/9.28  % WCLimit  : 300
% 0.07/9.28  % DateTime : Sun Sep 27 00:28:35 UTC 2026
% 0.07/9.28  % CPUTime  : 
% 0.07/9.28  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
% 0.11/9.56  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 0.11/9.67  % [INFO] 	 Parsing done (102ms). 
% 0.11/9.68  % [INFO] 	 Running in sequential loop mode. 
% 0.11/9.86  % [INFO] 	 eprover registered as external prover. 
% 0.11/9.86  % [INFO] 	 Scanning for conjecture ... 
% 0.11/9.91  % [INFO] 	 Found a conjecture (or negated_conjecture) and 61 axioms. Running axiom selection ... 
% 0.11/9.95  % [INFO] 	 Axiom selection finished. Selected 46 axioms (removed 15 axioms). 
% 0.11/9.98  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 0.11/9.99  % [INFO] 	 Type checking passed. 
% 0.11/9.99  % [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 ... 
% 2.23/10.36  % External prover 'e' found a proof!
% 2.23/10.36  % [INFO] 	 Killing All external provers ... 
% 2.23/10.36  % Time passed: 1001ms (effective reasoning time: 684ms)
% 2.23/10.36  % 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)>
% 2.23/10.36  % Axioms used in derivation (46): just28, just27, just12, just1, just60, just13, just3, just36, just51, just47, just53, just21, just17, just57, just26, just15, just4, just52, just46, just35, just23, just22, just11, just56, just7, just34, just45, just19, just49, just55, just59, just24, just61, just29, just37, just50, just18, just48, just54, just58, just2, just5, just25, just20, just14, just9
% 2.23/10.36  % No. of inferences in proof: 96
% 2.23/10.37  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1001 ms resp. 684 ms w/o parsing
% 2.53/10.41  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.53/10.41  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------