TSTP Solution File: CSR073+1 by Leo-III---1.7.10

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.10
% Problem  : CSR073+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  7 07:34:47 EDT 2024

% Result   : Theorem 3.81s 1.96s
% Output   : Refutation 4.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   82
% Syntax   : Number of formulae    :  136 (  23 unt;  30 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  :   26 (  26   >;   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_type,type,
    mtvisible: $i > $o ).

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

thf(tptptypes_5_387_type,type,
    tptptypes_5_387: $i > $i > $o ).

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

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

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

thf(tptptypes_8_400_type,type,
    tptptypes_8_400: $i > $i > $o ).

thf(tptptypes_7_396_type,type,
    tptptypes_7_396: $i > $i > $o ).

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

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

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

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

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

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

thf(tptptypes_9_401_type,type,
    tptptypes_9_401: $i > $i > $o ).

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

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

thf(tptptypes_6_388_type,type,
    tptptypes_6_388: $i > $i > $o ).

thf(c_tptp_member3993_mt_type,type,
    c_tptp_member3993_mt: $i ).

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

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

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

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

thf(c_tptpcol_16_10258_type,type,
    c_tptpcol_16_10258: $i ).

thf(tptpcol_16_10258_type,type,
    tptpcol_16_10258: $i > $o ).

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

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

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

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

thf(c_tptp_member237_mt_type,type,
    c_tptp_member237_mt: $i ).

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

thf(88,plain,
    ! [A: $i,B: $i] :
      ( ( genlmt @ A @ B )
     => ( microtheory @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

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

thf(120,plain,
    ! [A: $i,B: $i] :
      ( ( tptptypes_9_401 @ A @ B )
     => ( tptptypes_8_400 @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

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

thf(65,plain,
    ! [A: $i,B: $i] :
      ( ( disjointwith @ A @ B )
     => ( collection @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

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

thf(148,plain,
    ! [A: $i,B: $i] :
      ( ( tptptypes_5_387 @ A @ B )
     => ( firstordercollection @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

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

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

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

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

thf(145,plain,
    mtvisible @ c_basekb,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

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

thf(63,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( disjointwith @ A @ B )
        & ( genls @ C @ A ) )
     => ( disjointwith @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

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

thf(67,plain,
    ! [A: $i,B: $i] :
      ( ( disjointwith @ A @ B )
     => ( collection @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

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

thf(62,plain,
    transitivebinarypredicate @ c_genlmt,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

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

thf(93,plain,
    ! [A: $i,B: $i] :
      ( ( tptptypes_9_401 @ A @ B )
     => ( firstordercollection @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

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

thf(152,plain,
    ! [A: $i,B: $i] :
      ( ( ( mtvisible @ A )
        & ( genlmt @ A @ B ) )
     => ( mtvisible @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

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

thf(78,plain,
    ! [A: $i,B: $i] :
      ( ( genlmt @ A @ B )
     => ( microtheory @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

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

thf(133,plain,
    genlmt @ c_basekb @ c_universalvocabularymt,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

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

thf(116,plain,
    genlmt @ c_calendarsmt @ c_calendarsvocabularymt,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

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

thf(85,plain,
    ! [A: $i,B: $i] :
      ( ( tptptypes_6_388 @ A @ B )
     => ( firstordercollection @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

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

thf(60,plain,
    ! [A: $i,B: $i] :
      ( ( tptptypes_8_400 @ A @ B )
     => ( tptptypes_7_396 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

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

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

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

thf(70,plain,
    ! [A: $i,B: $i] :
      ( ( disjointwith @ A @ B )
     => ( disjointwith @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

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

thf(137,plain,
    ! [A: $i,B: $i] :
      ( ( tptptypes_7_396 @ A @ B )
     => ( tptptypes_6_388 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

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

thf(156,plain,
    ( ( mtvisible @ c_tptp_member237_mt )
   => ( tptptypes_9_401 @ c_pushingababycarriage @ c_tptpcol_16_10258 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

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

thf(141,plain,
    ! [A: $i] :
      ( ( pushingababycarriage @ A )
     => ( isa @ A @ c_pushingababycarriage ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

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

thf(109,plain,
    ! [A: $i] :
      ( ( isa @ A @ c_tptpcol_16_10258 )
     => ( tptpcol_16_10258 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

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

thf(124,plain,
    ! [A: $i] :
      ( ( tptpcol_16_10258 @ A )
     => ( isa @ A @ c_tptpcol_16_10258 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

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

thf(96,plain,
    ! [A: $i] :
      ( ( isa @ A @ c_transitivebinarypredicate )
     => ( transitivebinarypredicate @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

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

thf(134,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( isa @ A @ B )
        & ( genls @ B @ C ) )
     => ( isa @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

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

thf(73,plain,
    ! [A: $i,B: $i] :
      ( ( tptptypes_9_401 @ A @ B )
     => ( firstordercollection @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

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

thf(128,plain,
    ! [A: $i,B: $i] :
      ( ( isa @ A @ B )
     => ( collection @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

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

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

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

thf(98,plain,
    ! [A: $i] :
      ( ( transitivebinarypredicate @ A )
     => ( isa @ A @ c_transitivebinarypredicate ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

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

thf(103,plain,
    genlmt @ c_calendarsvocabularymt @ c_basekb,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

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

thf(91,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( genlmt @ A @ B )
        & ( genlmt @ B @ C ) )
     => ( genlmt @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

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

thf(155,plain,
    mtvisible @ c_universalvocabularymt,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

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

thf(130,plain,
    ! [A: $i,B: $i] :
      ( ( isa @ A @ B )
     => ( thing @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

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

thf(80,plain,
    ! [A: $i,B: $i] :
      ( ( tptptypes_8_400 @ A @ B )
     => ( firstordercollection @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

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

thf(154,plain,
    genlmt @ c_tptp_spindlecollectormt @ c_tptp_member237_mt,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

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

thf(72,plain,
    genlmt @ c_tptp_spindleheadmt @ c_cyclistsmt,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

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

thf(143,plain,
    ! [A: $i,B: $i] :
      ( ( tptptypes_5_387 @ A @ B )
     => ( firstordercollection @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

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

thf(87,plain,
    genlmt @ c_tptp_member3993_mt @ c_tptp_spindleheadmt,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

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

thf(104,plain,
    ! [A: $i,B: $i] :
      ( ( tptptypes_6_388 @ A @ B )
     => ( firstordercollection @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

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

thf(158,plain,
    ! [A: $i,B: $i] :
      ( ( tptptypes_6_388 @ A @ B )
     => ( tptptypes_5_387 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

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

thf(139,plain,
    ! [A: $i,B: $i] :
      ( ( genlmt @ A @ B )
     => ( microtheory @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

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

thf(75,plain,
    ! [A: $i,B: $i] :
      ( ( tptptypes_7_396 @ A @ B )
     => ( firstordercollection @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

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

thf(58,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( disjointwith @ A @ B )
        & ( genls @ C @ B ) )
     => ( disjointwith @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

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

thf(151,plain,
    genlmt @ c_tptp_spindlecollectormt @ c_tptp_member3993_mt,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

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

thf(146,plain,
    ! [A: $i] :
      ( ( isa @ A @ c_pushingababycarriage )
     => ( pushingababycarriage @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

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

thf(107,plain,
    ! [A: $i,B: $i] :
      ( ( tptptypes_7_396 @ A @ B )
     => ( firstordercollection @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

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

thf(126,plain,
    ! [A: $i] :
      ( ( microtheory @ A )
     => ( genlmt @ A @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

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

thf(136,plain,
    genlmt @ c_cyclistsmt @ c_calendarsmt,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

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

thf(111,plain,
    ! [A: $i] :
      ( ( microtheory @ A )
     => ( genlmt @ A @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

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

thf(122,plain,
    ! [A: $i,B: $i] :
      ( ( isa @ A @ B )
     => ( collection @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

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

thf(83,plain,
    ! [A: $i,B: $i] :
      ( ( tptptypes_8_400 @ A @ B )
     => ( firstordercollection @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

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

thf(100,plain,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( isa @ A @ B )
        & ( isa @ A @ C )
        & ( disjointwith @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(160,plain,
    $false,
    inference(e,[status(thm)],[88,120,65,148,54,145,63,67,62,93,152,78,133,116,85,60,117,70,137,156,141,109,124,96,134,73,128,113,98,103,91,155,130,80,154,72,143,87,104,158,139,75,58,151,146,107,126,136,111,122,83,100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR073+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n011.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Mon May  6 15:37:24 EDT 2024
% 0.16/0.37  % CPUTime  : 
% 0.97/0.87  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.39/1.02  % [INFO] 	 Parsing done (149ms). 
% 1.39/1.03  % [INFO] 	 Running in sequential loop mode. 
% 1.90/1.25  % [INFO] 	 eprover registered as external prover. 
% 1.90/1.25  % [INFO] 	 cvc4 registered as external prover. 
% 1.90/1.25  % [INFO] 	 Scanning for conjecture ... 
% 1.90/1.31  % [INFO] 	 Found a conjecture and 67 axioms. Running axiom selection ... 
% 2.10/1.37  % [INFO] 	 Axiom selection finished. Selected 51 axioms (removed 16 axioms). 
% 2.28/1.41  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.28/1.42  % [INFO] 	 Type checking passed. 
% 2.28/1.42  % [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 ... 
% 3.81/1.95  % External prover 'e' found a proof!
% 3.81/1.95  % [INFO] 	 Killing All external provers ... 
% 3.81/1.95  % Time passed: 1418ms (effective reasoning time: 923ms)
% 3.81/1.95  % 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)>
% 3.81/1.96  % 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
% 3.81/1.96  % No. of inferences in proof: 106
% 3.81/1.96  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1418 ms resp. 923 ms w/o parsing
% 4.14/2.00  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.14/2.01  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------