TSTP Solution File: CSR070+1 by Leo-III---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : CSR070+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 07:34:21 EDT 2024
% Result : Theorem 4.01s 2.01s
% Output : Refutation 4.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 108
% Syntax : Number of formulae : 174 ( 35 unt; 44 typ; 0 def)
% Number of atoms : 237 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 559 ( 4 ~; 0 |; 14 &; 448 @)
% ( 0 <=>; 93 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 39 ( 39 >; 0 *; 0 +; 0 <<)
% Number of symbols : 45 ( 44 usr; 21 con; 0-3 aty)
% Number of variables : 196 ( 0 ^ 196 !; 0 ?; 196 :)
% Comments :
%------------------------------------------------------------------------------
thf(mtvisible_type,type,
mtvisible: $i > $o ).
thf(c_tptp_spindlecollectormt_type,type,
c_tptp_spindlecollectormt: $i ).
thf(tptptypes_5_802_type,type,
tptptypes_5_802: $i > $i > $o ).
thf(f_subcollectionofwithrelationfromtypefn_type,type,
f_subcollectionofwithrelationfromtypefn: $i > $i > $i > $i ).
thf(c_orientationvector_type,type,
c_orientationvector: $i ).
thf(c_orientation_type,type,
c_orientation: $i ).
thf(c_partiallytangible_type,type,
c_partiallytangible: $i ).
thf(c_tptpcol_16_8886_type,type,
c_tptpcol_16_8886: $i ).
thf(tptptypes_8_823_type,type,
tptptypes_8_823: $i > $i > $o ).
thf(tptptypes_7_819_type,type,
tptptypes_7_819: $i > $i > $o ).
thf(orientation_type,type,
orientation: $i > $i > $o ).
thf(spatialthing_localized_type,type,
spatialthing_localized: $i > $o ).
thf(transitivebinarypredicate_type,type,
transitivebinarypredicate: $i > $o ).
thf(c_genlpreds_type,type,
c_genlpreds: $i ).
thf(disjointwith_type,type,
disjointwith: $i > $i > $o ).
thf(genls_type,type,
genls: $i > $i > $o ).
thf(c_genlmt_type,type,
c_genlmt: $i ).
thf(microtheory_type,type,
microtheory: $i > $o ).
thf(genlmt_type,type,
genlmt: $i > $i > $o ).
thf(tptptypes_6_818_type,type,
tptptypes_6_818: $i > $i > $o ).
thf(firstordercollection_type,type,
firstordercollection: $i > $o ).
thf(c_calendarsmt_type,type,
c_calendarsmt: $i ).
thf(c_calendarsvocabularymt_type,type,
c_calendarsvocabularymt: $i ).
thf(isa_type,type,
isa: $i > $i > $o ).
thf(tptptypes_9_824_type,type,
tptptypes_9_824: $i > $i > $o ).
thf(collection_type,type,
collection: $i > $o ).
thf(thing_type,type,
thing: $i > $o ).
thf(c_basekb_type,type,
c_basekb: $i ).
thf(c_universalvocabularymt_type,type,
c_universalvocabularymt: $i ).
thf(c_tptp_member3993_mt_type,type,
c_tptp_member3993_mt: $i ).
thf(c_tptp_spindleheadmt_type,type,
c_tptp_spindleheadmt: $i ).
thf(c_transitivebinarypredicate_type,type,
c_transitivebinarypredicate: $i ).
thf(orientationvector_type,type,
orientationvector: $i > $o ).
thf(c_cyclistsmt_type,type,
c_cyclistsmt: $i ).
thf(partiallytangible_type,type,
partiallytangible: $i > $o ).
thf(tptpcol_16_8886_type,type,
tptpcol_16_8886: $i > $o ).
thf(c_tptp_member2668_mt_type,type,
c_tptp_member2668_mt: $i ).
thf(natargument_type,type,
natargument: $i > $i > $i > $o ).
thf(n_1_type,type,
n_1: $i ).
thf(subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible_type,type,
subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible: $i > $o ).
thf(n_3_type,type,
n_3: $i ).
thf(n_2_type,type,
n_2: $i ).
thf(natfunction_type,type,
natfunction: $i > $i > $o ).
thf(c_subcollectionofwithrelationfromtypefn_type,type,
c_subcollectionofwithrelationfromtypefn: $i ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( tptptypes_8_823 @ A @ B )
=> ( tptptypes_7_819 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).
thf(69,plain,
! [A: $i,B: $i] :
( ( tptptypes_8_823 @ A @ B )
=> ( tptptypes_7_819 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(27,axiom,
genlmt @ c_tptp_member3993_mt @ c_tptp_spindleheadmt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just17) ).
thf(120,plain,
genlmt @ c_tptp_member3993_mt @ c_tptp_spindleheadmt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( isa @ A @ B )
& ( isa @ A @ C )
& ( disjointwith @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just20) ).
thf(93,plain,
! [A: $i,B: $i,C: $i] :
~ ( ( isa @ A @ B )
& ( isa @ A @ C )
& ( disjointwith @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(14,axiom,
genlmt @ c_calendarsmt @ c_calendarsvocabularymt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).
thf(92,plain,
genlmt @ c_calendarsmt @ c_calendarsvocabularymt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( orientation @ A @ B )
=> ( spatialthing_localized @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just36) ).
thf(71,plain,
! [A: $i,B: $i] :
( ( orientation @ A @ B )
=> ( spatialthing_localized @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(41,axiom,
genlmt @ c_tptp_spindleheadmt @ c_cyclistsmt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just15) ).
thf(150,plain,
genlmt @ c_tptp_spindleheadmt @ c_cyclistsmt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( disjointwith @ A @ B )
& ( genls @ C @ A ) )
=> ( disjointwith @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just30) ).
thf(79,plain,
! [A: $i,B: $i,C: $i] :
( ( ( disjointwith @ A @ B )
& ( genls @ C @ A ) )
=> ( disjointwith @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( isa @ A @ B )
& ( genls @ B @ C ) )
=> ( isa @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just78) ).
thf(100,plain,
! [A: $i,B: $i,C: $i] :
( ( ( isa @ A @ B )
& ( genls @ B @ C ) )
=> ( isa @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(38,axiom,
! [A: $i,B: $i] :
( ( tptptypes_9_824 @ A @ B )
=> ( firstordercollection @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just47) ).
thf(142,plain,
! [A: $i,B: $i] :
( ( tptptypes_9_824 @ A @ B )
=> ( firstordercollection @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(43,axiom,
genlmt @ c_cyclistsmt @ c_calendarsmt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just5) ).
thf(153,plain,
genlmt @ c_cyclistsmt @ c_calendarsmt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(61,axiom,
! [A: $i,B: $i,C: $i] : ( natargument @ ( f_subcollectionofwithrelationfromtypefn @ A @ B @ C ) @ n_2 @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just41) ).
thf(184,plain,
! [A: $i,B: $i,C: $i] : ( natargument @ ( f_subcollectionofwithrelationfromtypefn @ A @ B @ C ) @ n_2 @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(23,axiom,
! [A: $i,B: $i] :
( ( tptptypes_8_823 @ A @ B )
=> ( firstordercollection @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just49) ).
thf(110,plain,
! [A: $i,B: $i] :
( ( tptptypes_8_823 @ A @ B )
=> ( firstordercollection @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(58,axiom,
mtvisible @ c_basekb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just56) ).
thf(179,plain,
mtvisible @ c_basekb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(21,axiom,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( collection @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just26) ).
thf(106,plain,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( collection @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(28,axiom,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( collection @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just74) ).
thf(121,plain,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( collection @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just61) ).
thf(84,plain,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(25,axiom,
genlmt @ c_basekb @ c_universalvocabularymt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just4) ).
thf(116,plain,
genlmt @ c_basekb @ c_universalvocabularymt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(5,axiom,
transitivebinarypredicate @ c_genlpreds,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).
thf(74,plain,
transitivebinarypredicate @ c_genlpreds,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( tptptypes_6_818 @ A @ B )
=> ( firstordercollection @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just55) ).
thf(89,plain,
! [A: $i,B: $i] :
( ( tptptypes_6_818 @ A @ B )
=> ( firstordercollection @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(34,axiom,
! [A: $i] :
( ( isa @ A @ c_transitivebinarypredicate )
=> ( transitivebinarypredicate @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just65) ).
thf(133,plain,
! [A: $i] :
( ( isa @ A @ c_transitivebinarypredicate )
=> ( transitivebinarypredicate @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(26,axiom,
! [A: $i,B: $i] :
( ( tptptypes_7_819 @ A @ B )
=> ( firstordercollection @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just51) ).
thf(117,plain,
! [A: $i,B: $i] :
( ( tptptypes_7_819 @ A @ B )
=> ( firstordercollection @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just59) ).
thf(102,plain,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(47,axiom,
! [A: $i] :
( ( isa @ A @ c_tptpcol_16_8886 )
=> ( tptpcol_16_8886 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).
thf(160,plain,
! [A: $i] :
( ( isa @ A @ c_tptpcol_16_8886 )
=> ( tptpcol_16_8886 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(65,axiom,
! [A: $i,B: $i] :
( ( tptptypes_5_802 @ A @ B )
=> ( firstordercollection @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just53) ).
thf(192,plain,
! [A: $i,B: $i] :
( ( tptptypes_5_802 @ A @ B )
=> ( firstordercollection @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(36,axiom,
! [A: $i,B: $i] :
( ( tptptypes_7_819 @ A @ B )
=> ( firstordercollection @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just50) ).
thf(137,plain,
! [A: $i,B: $i] :
( ( tptptypes_7_819 @ A @ B )
=> ( firstordercollection @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(50,axiom,
mtvisible @ c_universalvocabularymt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just79) ).
thf(165,plain,
mtvisible @ c_universalvocabularymt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(45,axiom,
! [A: $i] :
( ( isa @ A @ c_partiallytangible )
=> ( partiallytangible @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just33) ).
thf(156,plain,
! [A: $i] :
( ( isa @ A @ c_partiallytangible )
=> ( partiallytangible @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(63,axiom,
! [A: $i] :
( ( orientationvector @ A )
=> ( isa @ A @ c_orientationvector ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just38) ).
thf(188,plain,
! [A: $i] :
( ( orientationvector @ A )
=> ( isa @ A @ c_orientationvector ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(53,axiom,
! [A: $i,B: $i,C: $i] : ( natargument @ ( f_subcollectionofwithrelationfromtypefn @ A @ B @ C ) @ n_1 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just40) ).
thf(169,plain,
! [A: $i,B: $i,C: $i] : ( natargument @ ( f_subcollectionofwithrelationfromtypefn @ A @ B @ C ) @ n_1 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(30,axiom,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( collection @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just27) ).
thf(124,plain,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( collection @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( disjointwith @ A @ B )
& ( genls @ C @ B ) )
=> ( disjointwith @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just29) ).
thf(77,plain,
! [A: $i,B: $i,C: $i] :
( ( ( disjointwith @ A @ B )
& ( genls @ C @ B ) )
=> ( disjointwith @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( genlmt @ A @ B )
& ( genlmt @ B @ C ) )
=> ( genlmt @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just62) ).
thf(96,plain,
! [A: $i,B: $i,C: $i] :
( ( ( genlmt @ A @ B )
& ( genlmt @ B @ C ) )
=> ( genlmt @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(55,axiom,
! [A: $i,B: $i] :
( ( ( mtvisible @ A )
& ( genlmt @ A @ B ) )
=> ( mtvisible @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just57) ).
thf(173,plain,
! [A: $i,B: $i] :
( ( ( mtvisible @ A )
& ( genlmt @ A @ B ) )
=> ( mtvisible @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(32,axiom,
! [A: $i,B: $i] :
( ( tptptypes_6_818 @ A @ B )
=> ( firstordercollection @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just54) ).
thf(129,plain,
! [A: $i,B: $i] :
( ( tptptypes_6_818 @ A @ B )
=> ( firstordercollection @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(51,axiom,
genlmt @ c_tptp_spindlecollectormt @ c_tptp_member3993_mt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just18) ).
thf(166,plain,
genlmt @ c_tptp_spindlecollectormt @ c_tptp_member3993_mt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(40,axiom,
! [A: $i,B: $i] :
( ( tptptypes_9_824 @ A @ B )
=> ( firstordercollection @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just46) ).
thf(148,plain,
! [A: $i,B: $i] :
( ( tptptypes_9_824 @ A @ B )
=> ( firstordercollection @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(59,axiom,
! [A: $i,B: $i,C: $i] : ( collection @ ( f_subcollectionofwithrelationfromtypefn @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just43) ).
thf(180,plain,
! [A: $i,B: $i,C: $i] : ( collection @ ( f_subcollectionofwithrelationfromtypefn @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(24,axiom,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( thing @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just76) ).
thf(113,plain,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( thing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(9,axiom,
transitivebinarypredicate @ c_genlmt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just3) ).
thf(81,plain,
transitivebinarypredicate @ c_genlmt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( tptptypes_7_819 @ A @ B )
=> ( tptptypes_6_818 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).
thf(98,plain,
! [A: $i,B: $i] :
( ( tptptypes_7_819 @ A @ B )
=> ( tptptypes_6_818 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(1,conjecture,
( ( mtvisible @ c_tptp_spindlecollectormt )
=> ( tptptypes_5_802 @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) @ c_tptpcol_16_8886 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query70) ).
thf(2,negated_conjecture,
~ ( ( mtvisible @ c_tptp_spindlecollectormt )
=> ( tptptypes_5_802 @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) @ c_tptpcol_16_8886 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(66,plain,
~ ( ( mtvisible @ c_tptp_spindlecollectormt )
=> ( tptptypes_5_802 @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) @ c_tptpcol_16_8886 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( collection @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just75) ).
thf(108,plain,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( collection @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(35,axiom,
! [A: $i,B: $i] :
( ( orientation @ A @ B )
=> ( orientationvector @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just35) ).
thf(135,plain,
! [A: $i,B: $i] :
( ( orientation @ A @ B )
=> ( orientationvector @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(52,axiom,
! [A: $i] :
( ( partiallytangible @ A )
=> ( isa @ A @ c_partiallytangible ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).
thf(167,plain,
! [A: $i] :
( ( partiallytangible @ A )
=> ( isa @ A @ c_partiallytangible ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(48,axiom,
genlmt @ c_tptp_spindlecollectormt @ c_tptp_member2668_mt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just16) ).
thf(162,plain,
genlmt @ c_tptp_spindlecollectormt @ c_tptp_member2668_mt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(29,axiom,
genlmt @ c_calendarsvocabularymt @ c_basekb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just6) ).
thf(123,plain,
genlmt @ c_calendarsvocabularymt @ c_basekb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(39,axiom,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( thing @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just77) ).
thf(145,plain,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( thing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(31,axiom,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just58) ).
thf(127,plain,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(57,axiom,
! [A: $i] :
( ( isa @ A @ c_orientationvector )
=> ( orientationvector @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just37) ).
thf(177,plain,
! [A: $i] :
( ( isa @ A @ c_orientationvector )
=> ( orientationvector @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(60,axiom,
! [A: $i,B: $i,C: $i] : ( natargument @ ( f_subcollectionofwithrelationfromtypefn @ A @ B @ C ) @ n_3 @ C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just42) ).
thf(182,plain,
! [A: $i,B: $i,C: $i] : ( natargument @ ( f_subcollectionofwithrelationfromtypefn @ A @ B @ C ) @ n_3 @ C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(44,axiom,
! [A: $i,B: $i] :
( ( tptptypes_5_802 @ A @ B )
=> ( firstordercollection @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just52) ).
thf(154,plain,
! [A: $i,B: $i] :
( ( tptptypes_5_802 @ A @ B )
=> ( firstordercollection @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(56,axiom,
! [A: $i] :
( ( subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible @ A )
=> ( isa @ A @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just45) ).
thf(175,plain,
! [A: $i] :
( ( subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible @ A )
=> ( isa @ A @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(12,axiom,
! [A: $i] :
( ( microtheory @ A )
=> ( genlmt @ A @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just63) ).
thf(87,plain,
! [A: $i] :
( ( microtheory @ A )
=> ( genlmt @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(20,axiom,
! [A: $i,B: $i] :
( ( tptptypes_9_824 @ A @ B )
=> ( tptptypes_8_823 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).
thf(104,plain,
! [A: $i,B: $i] :
( ( tptptypes_9_824 @ A @ B )
=> ( tptptypes_8_823 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(46,axiom,
! [A: $i,B: $i] :
( ( tptptypes_6_818 @ A @ B )
=> ( tptptypes_5_802 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).
thf(158,plain,
! [A: $i,B: $i] :
( ( tptptypes_6_818 @ A @ B )
=> ( tptptypes_5_802 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(62,axiom,
! [A: $i,B: $i,C: $i] : ( natfunction @ ( f_subcollectionofwithrelationfromtypefn @ A @ B @ C ) @ c_subcollectionofwithrelationfromtypefn ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just39) ).
thf(186,plain,
! [A: $i,B: $i,C: $i] : ( natfunction @ ( f_subcollectionofwithrelationfromtypefn @ A @ B @ C ) @ c_subcollectionofwithrelationfromtypefn ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(54,axiom,
! [A: $i] :
( ( isa @ A @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) )
=> ( subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just44) ).
thf(171,plain,
! [A: $i] :
( ( isa @ A @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) )
=> ( subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(37,axiom,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just60) ).
thf(139,plain,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( disjointwith @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just28) ).
thf(75,plain,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( disjointwith @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(10,axiom,
! [A: $i] :
( ( microtheory @ A )
=> ( genlmt @ A @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just64) ).
thf(82,plain,
! [A: $i] :
( ( microtheory @ A )
=> ( genlmt @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(42,axiom,
! [A: $i,B: $i] :
( ( tptptypes_8_823 @ A @ B )
=> ( firstordercollection @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just48) ).
thf(151,plain,
! [A: $i,B: $i] :
( ( tptptypes_8_823 @ A @ B )
=> ( firstordercollection @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(64,axiom,
( ( mtvisible @ c_tptp_member2668_mt )
=> ( tptptypes_9_824 @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) @ c_tptpcol_16_8886 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just19) ).
thf(190,plain,
( ( mtvisible @ c_tptp_member2668_mt )
=> ( tptptypes_9_824 @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) @ c_tptpcol_16_8886 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(33,axiom,
! [A: $i] :
( ( transitivebinarypredicate @ A )
=> ( isa @ A @ c_transitivebinarypredicate ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just66) ).
thf(131,plain,
! [A: $i] :
( ( transitivebinarypredicate @ A )
=> ( isa @ A @ c_transitivebinarypredicate ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(49,axiom,
! [A: $i] :
( ( tptpcol_16_8886 @ A )
=> ( isa @ A @ c_tptpcol_16_8886 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just32) ).
thf(163,plain,
! [A: $i] :
( ( tptpcol_16_8886 @ A )
=> ( isa @ A @ c_tptpcol_16_8886 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(195,plain,
$false,
inference(e,[status(thm)],[69,120,93,92,71,150,79,100,142,153,184,110,179,106,121,84,116,74,89,133,117,102,160,192,137,165,156,188,169,124,77,96,173,129,166,148,180,113,81,98,66,108,135,167,162,123,145,127,177,182,154,175,87,104,158,186,171,139,75,82,151,190,131,163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR070+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n011.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % 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 15:47:09 EDT 2024
% 0.16/0.37 % CPUTime :
% 1.00/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.45/1.02 % [INFO] Parsing done (152ms).
% 1.45/1.03 % [INFO] Running in sequential loop mode.
% 2.00/1.26 % [INFO] eprover registered as external prover.
% 2.00/1.26 % [INFO] cvc4 registered as external prover.
% 2.00/1.26 % [INFO] Scanning for conjecture ...
% 2.00/1.32 % [INFO] Found a conjecture and 79 axioms. Running axiom selection ...
% 2.20/1.38 % [INFO] Axiom selection finished. Selected 63 axioms (removed 16 axioms).
% 2.36/1.43 % [INFO] Problem is first-order (TPTP FOF).
% 2.36/1.44 % [INFO] Type checking passed.
% 2.36/1.44 % [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 ...
% 4.01/2.01 % External prover 'e' found a proof!
% 4.01/2.01 % [INFO] Killing All external provers ...
% 4.01/2.01 % Time passed: 1471ms (effective reasoning time: 975ms)
% 4.01/2.01 % 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)>
% 4.01/2.01 % Axioms used in derivation (63): just28, just64, just10, just8, just63, just16, just27, just12, just74, just31, just59, just20, just14, just3, just62, just36, just51, just47, just53, just75, just43, just17, just57, just26, just15, just40, just4, just52, just46, just35, just79, just42, just56, just34, just45, just19, just66, just49, just55, just1, just38, just77, just60, just6, just30, just41, just78, just61, just29, just37, just50, just18, just32, just39, just65, just48, just54, just33, just76, just58, just5, just2, just44
% 4.01/2.01 % No. of inferences in proof: 130
% 4.01/2.01 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1471 ms resp. 975 ms w/o parsing
% 4.41/2.08 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.41/2.08 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------