TSTP Solution File: CSR027+1 by Leo-III---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : CSR027+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n015.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 07:30:41 EDT 2024
% Result : Theorem 4.27s 2.05s
% Output : Refutation 4.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 108
% Syntax : Number of formulae : 173 ( 51 unt; 45 typ; 0 def)
% Number of atoms : 224 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 620 ( 4 ~; 0 |; 21 &; 520 @)
% ( 0 <=>; 75 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 38 ( 38 >; 0 *; 0 +; 0 <<)
% Number of symbols : 46 ( 45 usr; 24 con; 0-4 aty)
% Number of variables : 219 ( 0 ^ 216 !; 3 ?; 219 :)
% Comments :
%------------------------------------------------------------------------------
thf(mtvisible_type,type,
mtvisible: $i > $o ).
thf(c_tptp_spindlecollectormt_type,type,
c_tptp_spindlecollectormt: $i ).
thf(tptp_8_875_type,type,
tptp_8_875: $i > $i > $o ).
thf(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786_type,type,
c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786: $i ).
thf(tptpcol_16_31868_type,type,
tptpcol_16_31868: $i > $o ).
thf(transitivebinarypredicate_type,type,
transitivebinarypredicate: $i > $o ).
thf(c_genlmt_type,type,
c_genlmt: $i ).
thf(disjointwith_type,type,
disjointwith: $i > $i > $o ).
thf(collection_type,type,
collection: $i > $o ).
thf(genls_type,type,
genls: $i > $i > $o ).
thf(resultisaarg_type,type,
resultisaarg: $i > $i > $o ).
thf(c_relationallexistsfn_type,type,
c_relationallexistsfn: $i ).
thf(n_4_type,type,
n_4: $i ).
thf(genlmt_type,type,
genlmt: $i > $i > $o ).
thf(natargument_type,type,
natargument: $i > $i > $i > $o ).
thf(f_subcollectionofwithrelationfromtypefn_type,type,
f_subcollectionofwithrelationfromtypefn: $i > $i > $i > $i ).
thf(n_1_type,type,
n_1: $i ).
thf(n_2_type,type,
n_2: $i ).
thf(f_relationallexistsfn_type,type,
f_relationallexistsfn: $i > $i > $i > $i > $i ).
thf(isa_type,type,
isa: $i > $i > $o ).
thf(c_unitvectorinterval_type,type,
c_unitvectorinterval: $i ).
thf(unitvectorinterval_type,type,
unitvectorinterval: $i > $o ).
thf(microtheory_type,type,
microtheory: $i > $o ).
thf(relationallexists_type,type,
relationallexists: $i > $i > $i > $o ).
thf(binarypredicate_type,type,
binarypredicate: $i > $o ).
thf(c_transitivebinarypredicate_type,type,
c_transitivebinarypredicate: $i ).
thf(n_3_type,type,
n_3: $i ).
thf(subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_type,type,
subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent: $i > $o ).
thf(c_directionoftranslation_throughout_type,type,
c_directionoftranslation_throughout: $i ).
thf(c_movement_translationevent_type,type,
c_movement_translationevent: $i ).
thf(c_calendarsmt_type,type,
c_calendarsmt: $i ).
thf(c_calendarsvocabularymt_type,type,
c_calendarsvocabularymt: $i ).
thf(movement_translationevent_type,type,
movement_translationevent: $i > $o ).
thf(thing_type,type,
thing: $i > $o ).
thf(c_basekb_type,type,
c_basekb: $i ).
thf(natfunction_type,type,
natfunction: $i > $i > $o ).
thf(c_subcollectionofwithrelationfromtypefn_type,type,
c_subcollectionofwithrelationfromtypefn: $i ).
thf(c_cyclistsmt_type,type,
c_cyclistsmt: $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_universalvocabularymt_type,type,
c_universalvocabularymt: $i ).
thf(c_tptp_member2610_mt_type,type,
c_tptp_member2610_mt: $i ).
thf(c_tptp_8_875_type,type,
c_tptp_8_875: $i ).
thf(c_tptpcol_16_31868_type,type,
c_tptpcol_16_31868: $i ).
thf(tptpcol_4_24578_type,type,
tptpcol_4_24578: $i > $o ).
thf(45,axiom,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( thing @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just60) ).
thf(153,plain,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( thing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(44,axiom,
genlmt @ c_tptp_member3993_mt @ c_tptp_spindleheadmt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).
thf(152,plain,
genlmt @ c_tptp_member3993_mt @ c_tptp_spindleheadmt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(57,axiom,
! [A: $i] :
( ( tptpcol_16_31868 @ A )
=> ( isa @ A @ c_tptpcol_16_31868 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just35) ).
thf(176,plain,
! [A: $i] :
( ( tptpcol_16_31868 @ A )
=> ( isa @ A @ c_tptpcol_16_31868 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(22,axiom,
! [A: $i] :
( ( transitivebinarypredicate @ A )
=> ( isa @ A @ c_transitivebinarypredicate ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just57) ).
thf(108,plain,
! [A: $i] :
( ( transitivebinarypredicate @ A )
=> ( isa @ A @ c_transitivebinarypredicate ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i] :
( ( relationallexists @ A @ B @ C )
=> ( collection @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just52) ).
thf(95,plain,
! [A: $i,B: $i,C: $i] :
( ( relationallexists @ A @ B @ C )
=> ( collection @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(40,axiom,
! [A: $i,B: $i,C: $i] : ( collection @ ( f_subcollectionofwithrelationfromtypefn @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just47) ).
thf(143,plain,
! [A: $i,B: $i,C: $i] : ( collection @ ( f_subcollectionofwithrelationfromtypefn @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i,D: $i] : ( natargument @ ( f_relationallexistsfn @ A @ B @ C @ D ) @ n_3 @ C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just74) ).
thf(104,plain,
! [A: $i,B: $i,C: $i,D: $i] : ( natargument @ ( f_relationallexistsfn @ A @ B @ C @ D ) @ n_3 @ C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(61,axiom,
mtvisible @ c_basekb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just55) ).
thf(183,plain,
mtvisible @ c_basekb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(3,axiom,
transitivebinarypredicate @ c_genlmt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just4) ).
thf(69,plain,
transitivebinarypredicate @ c_genlmt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(37,axiom,
genlmt @ c_cyclistsmt @ c_calendarsmt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just6) ).
thf(138,plain,
genlmt @ c_cyclistsmt @ c_calendarsmt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i,D: $i] : ( natargument @ ( f_relationallexistsfn @ A @ B @ C @ D ) @ n_2 @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just73) ).
thf(88,plain,
! [A: $i,B: $i,C: $i,D: $i] : ( natargument @ ( f_relationallexistsfn @ A @ B @ C @ D ) @ n_2 @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(53,axiom,
( ( mtvisible @ c_tptp_member2610_mt )
=> ( relationallexists @ c_tptp_8_875 @ ( f_subcollectionofwithrelationfromtypefn @ c_unitvectorinterval @ c_directionoftranslation_throughout @ c_movement_translationevent ) @ c_tptpcol_16_31868 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).
thf(170,plain,
( ( mtvisible @ c_tptp_member2610_mt )
=> ( relationallexists @ c_tptp_8_875 @ ( f_subcollectionofwithrelationfromtypefn @ c_unitvectorinterval @ c_directionoftranslation_throughout @ c_movement_translationevent ) @ c_tptpcol_16_31868 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(26,axiom,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just65) ).
thf(115,plain,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(56,axiom,
! [A: $i] :
( ( isa @ A @ c_tptpcol_16_31868 )
=> ( tptpcol_16_31868 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).
thf(174,plain,
! [A: $i] :
( ( isa @ A @ c_tptpcol_16_31868 )
=> ( tptpcol_16_31868 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(63,axiom,
! [A: $i] :
( ( ( mtvisible @ c_tptp_member2610_mt )
& ( isa @ A @ ( f_subcollectionofwithrelationfromtypefn @ c_unitvectorinterval @ c_directionoftranslation_throughout @ c_movement_translationevent ) ) )
=> ( tptp_8_875 @ A @ ( f_relationallexistsfn @ A @ c_tptp_8_875 @ ( f_subcollectionofwithrelationfromtypefn @ c_unitvectorinterval @ c_directionoftranslation_throughout @ c_movement_translationevent ) @ c_tptpcol_16_31868 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).
thf(185,plain,
! [A: $i] :
( ( ( mtvisible @ c_tptp_member2610_mt )
& ( isa @ A @ ( f_subcollectionofwithrelationfromtypefn @ c_unitvectorinterval @ c_directionoftranslation_throughout @ c_movement_translationevent ) ) )
=> ( tptp_8_875 @ A @ ( f_relationallexistsfn @ A @ c_tptp_8_875 @ ( f_subcollectionofwithrelationfromtypefn @ c_unitvectorinterval @ c_directionoftranslation_throughout @ c_movement_translationevent ) @ c_tptpcol_16_31868 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(62,axiom,
genlmt @ c_tptp_spindlecollectormt @ c_tptp_member3993_mt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).
thf(184,plain,
genlmt @ c_tptp_spindlecollectormt @ c_tptp_member3993_mt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(23,axiom,
! [A: $i] :
( ( subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent @ A )
=> ( isa @ A @ ( f_subcollectionofwithrelationfromtypefn @ c_unitvectorinterval @ c_directionoftranslation_throughout @ c_movement_translationevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just49) ).
thf(110,plain,
! [A: $i] :
( ( subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent @ A )
=> ( isa @ A @ ( f_subcollectionofwithrelationfromtypefn @ c_unitvectorinterval @ c_directionoftranslation_throughout @ c_movement_translationevent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(21,axiom,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( collection @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just59) ).
thf(106,plain,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( collection @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i] : ( natargument @ ( f_subcollectionofwithrelationfromtypefn @ A @ B @ C ) @ n_1 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just44) ).
thf(84,plain,
! [A: $i,B: $i,C: $i] : ( natargument @ ( f_subcollectionofwithrelationfromtypefn @ A @ B @ C ) @ n_1 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(42,axiom,
! [A: $i] :
( ( microtheory @ A )
=> ( genlmt @ A @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just70) ).
thf(147,plain,
! [A: $i] :
( ( microtheory @ A )
=> ( genlmt @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(34,axiom,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( collection @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just58) ).
thf(132,plain,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( collection @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(27,axiom,
! [A: $i] :
( ( movement_translationevent @ A )
=> ( isa @ A @ c_movement_translationevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just37) ).
thf(117,plain,
! [A: $i] :
( ( movement_translationevent @ A )
=> ( isa @ A @ c_movement_translationevent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i,D: $i] : ( natargument @ ( f_relationallexistsfn @ A @ B @ C @ D ) @ n_4 @ D ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just75) ).
thf(102,plain,
! [A: $i,B: $i,C: $i,D: $i] : ( natargument @ ( f_relationallexistsfn @ A @ B @ C @ D ) @ n_4 @ D ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(48,axiom,
! [A: $i] :
( ( microtheory @ A )
=> ( genlmt @ A @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just69) ).
thf(160,plain,
! [A: $i] :
( ( microtheory @ A )
=> ( genlmt @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( collection @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just30) ).
thf(70,plain,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( collection @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just66) ).
thf(92,plain,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(1,conjecture,
? [A: $i] :
( ( mtvisible @ c_tptp_spindlecollectormt )
=> ( ( tptp_8_875 @ c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @ A )
& ( tptpcol_16_31868 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query27) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ( mtvisible @ c_tptp_spindlecollectormt )
=> ( ( tptp_8_875 @ c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @ A )
& ( tptpcol_16_31868 @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(65,plain,
~ ? [A: $i] :
( ( mtvisible @ c_tptp_spindlecollectormt )
=> ( ( tptp_8_875 @ c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @ A )
& ( tptpcol_16_31868 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i] :
( ( relationallexists @ A @ B @ C )
=> ( binarypredicate @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just54) ).
thf(97,plain,
! [A: $i,B: $i,C: $i] :
( ( relationallexists @ A @ B @ C )
=> ( binarypredicate @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(46,axiom,
! [A: $i] :
( ( unitvectorinterval @ A )
=> ( isa @ A @ c_unitvectorinterval ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just42) ).
thf(156,plain,
! [A: $i] :
( ( unitvectorinterval @ A )
=> ( isa @ A @ c_unitvectorinterval ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(39,axiom,
! [A: $i,B: $i,C: $i,D: $i] : ( natargument @ ( f_relationallexistsfn @ A @ B @ C @ D ) @ n_1 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just72) ).
thf(141,plain,
! [A: $i,B: $i,C: $i,D: $i] : ( natargument @ ( f_relationallexistsfn @ A @ B @ C @ D ) @ n_1 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(30,axiom,
! [A: $i] :
( ( isa @ A @ ( f_subcollectionofwithrelationfromtypefn @ c_unitvectorinterval @ c_directionoftranslation_throughout @ c_movement_translationevent ) )
=> ( subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just48) ).
thf(124,plain,
! [A: $i] :
( ( isa @ A @ ( f_subcollectionofwithrelationfromtypefn @ c_unitvectorinterval @ c_directionoftranslation_throughout @ c_movement_translationevent ) )
=> ( subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( disjointwith @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).
thf(77,plain,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( disjointwith @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(55,axiom,
isa @ c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @ ( f_subcollectionofwithrelationfromtypefn @ c_unitvectorinterval @ c_directionoftranslation_throughout @ c_movement_translationevent ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).
thf(173,plain,
isa @ c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @ ( f_subcollectionofwithrelationfromtypefn @ c_unitvectorinterval @ c_directionoftranslation_throughout @ c_movement_translationevent ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(32,axiom,
genlmt @ c_calendarsvocabularymt @ c_basekb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).
thf(129,plain,
genlmt @ c_calendarsvocabularymt @ c_basekb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(35,axiom,
! [A: $i,B: $i,C: $i] : ( natfunction @ ( f_subcollectionofwithrelationfromtypefn @ A @ B @ C ) @ c_subcollectionofwithrelationfromtypefn ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just43) ).
thf(134,plain,
! [A: $i,B: $i,C: $i] : ( natfunction @ ( f_subcollectionofwithrelationfromtypefn @ A @ B @ C ) @ c_subcollectionofwithrelationfromtypefn ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( collection @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just29) ).
thf(73,plain,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( collection @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(51,axiom,
genlmt @ c_tptp_spindleheadmt @ c_cyclistsmt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).
thf(166,plain,
genlmt @ c_tptp_spindleheadmt @ c_cyclistsmt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(59,axiom,
genlmt @ c_tptp_spindlecollectormt @ c_tptp_member2610_mt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
thf(180,plain,
genlmt @ c_tptp_spindlecollectormt @ c_tptp_member2610_mt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(43,axiom,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just67) ).
thf(149,plain,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(60,axiom,
! [A: $i,B: $i] :
( ( tptp_8_875 @ A @ B )
=> ( tptpcol_4_24578 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just50) ).
thf(181,plain,
! [A: $i,B: $i] :
( ( tptp_8_875 @ A @ B )
=> ( tptpcol_4_24578 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] : ( natargument @ ( f_subcollectionofwithrelationfromtypefn @ A @ B @ C ) @ n_2 @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just45) ).
thf(86,plain,
! [A: $i,B: $i,C: $i] : ( natargument @ ( f_subcollectionofwithrelationfromtypefn @ A @ B @ C ) @ n_2 @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(64,axiom,
subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent @ c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just15) ).
thf(187,plain,
subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent @ c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(54,axiom,
mtvisible @ c_universalvocabularymt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just79) ).
thf(172,plain,
mtvisible @ c_universalvocabularymt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(25,axiom,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just64) ).
thf(113,plain,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(9,axiom,
resultisaarg @ c_relationallexistsfn @ n_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).
thf(81,plain,
resultisaarg @ c_relationallexistsfn @ n_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(33,axiom,
! [A: $i] :
( ( isa @ A @ c_movement_translationevent )
=> ( movement_translationevent @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just36) ).
thf(130,plain,
! [A: $i] :
( ( isa @ A @ c_movement_translationevent )
=> ( movement_translationevent @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(52,axiom,
! [A: $i,B: $i] :
( ( tptp_8_875 @ A @ B )
=> ( subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just51) ).
thf(167,plain,
! [A: $i,B: $i] :
( ( tptp_8_875 @ A @ B )
=> ( subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(49,axiom,
genlmt @ c_basekb @ c_universalvocabularymt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just5) ).
thf(162,plain,
genlmt @ c_basekb @ c_universalvocabularymt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(24,axiom,
genlmt @ c_calendarsmt @ c_calendarsvocabularymt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just3) ).
thf(112,plain,
genlmt @ c_calendarsmt @ c_calendarsvocabularymt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(41,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( isa @ A @ B )
& ( relationallexists @ C @ B @ D ) )
=> ( isa @ ( f_relationallexistsfn @ A @ C @ B @ D ) @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).
thf(145,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( isa @ A @ B )
& ( relationallexists @ C @ B @ D ) )
=> ( isa @ ( f_relationallexistsfn @ A @ C @ B @ D ) @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(47,axiom,
! [A: $i,B: $i,C: $i,D: $i] : ( natfunction @ ( f_relationallexistsfn @ A @ B @ C @ D ) @ c_relationallexistsfn ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just71) ).
thf(158,plain,
! [A: $i,B: $i,C: $i,D: $i] : ( natfunction @ ( f_relationallexistsfn @ A @ B @ C @ D ) @ c_relationallexistsfn ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(38,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( isa @ A @ B )
& ( genls @ B @ C ) )
=> ( isa @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just62) ).
thf(139,plain,
! [A: $i,B: $i,C: $i] :
( ( ( isa @ A @ B )
& ( genls @ B @ C ) )
=> ( isa @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( disjointwith @ A @ B )
& ( genls @ C @ B ) )
=> ( disjointwith @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just32) ).
thf(75,plain,
! [A: $i,B: $i,C: $i] :
( ( ( disjointwith @ A @ B )
& ( genls @ C @ B ) )
=> ( disjointwith @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(28,axiom,
! [A: $i,B: $i,C: $i] :
( ( relationallexists @ A @ B @ C )
=> ( collection @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just53) ).
thf(119,plain,
! [A: $i,B: $i,C: $i] :
( ( relationallexists @ A @ B @ C )
=> ( collection @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( genlmt @ A @ B )
& ( genlmt @ B @ C ) )
=> ( genlmt @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just68) ).
thf(82,plain,
! [A: $i,B: $i,C: $i] :
( ( ( genlmt @ A @ B )
& ( genlmt @ B @ C ) )
=> ( genlmt @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
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',just33) ).
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(31,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( isa @ A @ B )
& ( isa @ A @ C )
& ( disjointwith @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just16) ).
thf(126,plain,
! [A: $i,B: $i,C: $i] :
~ ( ( isa @ A @ B )
& ( isa @ A @ C )
& ( disjointwith @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(36,axiom,
! [A: $i,B: $i,C: $i] : ( natargument @ ( f_subcollectionofwithrelationfromtypefn @ A @ B @ C ) @ n_3 @ C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just46) ).
thf(136,plain,
! [A: $i,B: $i,C: $i] : ( natargument @ ( f_subcollectionofwithrelationfromtypefn @ A @ B @ C ) @ n_3 @ C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(50,axiom,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( thing @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just61) ).
thf(163,plain,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( thing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(58,axiom,
! [A: $i,B: $i] :
( ( ( mtvisible @ A )
& ( genlmt @ A @ B ) )
=> ( mtvisible @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just63) ).
thf(178,plain,
! [A: $i,B: $i] :
( ( ( mtvisible @ A )
& ( genlmt @ A @ B ) )
=> ( mtvisible @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(14,axiom,
! [A: $i] :
( ( isa @ A @ c_unitvectorinterval )
=> ( unitvectorinterval @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just41) ).
thf(90,plain,
! [A: $i] :
( ( isa @ A @ c_unitvectorinterval )
=> ( unitvectorinterval @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(29,axiom,
! [A: $i,B: $i,C: $i,D: $i] : ( thing @ ( f_relationallexistsfn @ A @ B @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just76) ).
thf(122,plain,
! [A: $i,B: $i,C: $i,D: $i] : ( thing @ ( f_relationallexistsfn @ A @ B @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(18,axiom,
! [A: $i] :
( ( isa @ A @ c_transitivebinarypredicate )
=> ( transitivebinarypredicate @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just56) ).
thf(100,plain,
! [A: $i] :
( ( isa @ A @ c_transitivebinarypredicate )
=> ( transitivebinarypredicate @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(188,plain,
$false,
inference(e,[status(thm)],[153,152,176,108,95,143,104,183,69,138,88,170,115,174,185,184,110,106,84,147,132,117,102,160,70,92,65,97,156,141,124,77,173,129,134,73,166,180,149,181,86,187,172,113,81,130,167,162,112,145,158,139,75,119,82,79,126,136,163,178,90,122,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR027+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n015.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 15:38:09 EDT 2024
% 0.16/0.37 % CPUTime :
% 1.00/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.12/1.01 % [INFO] Parsing done (142ms).
% 1.50/1.02 % [INFO] Running in sequential loop mode.
% 1.90/1.24 % [INFO] eprover registered as external prover.
% 1.90/1.25 % [INFO] cvc4 registered as external prover.
% 1.90/1.25 % [INFO] Scanning for conjecture ...
% 2.07/1.31 % [INFO] Found a conjecture and 79 axioms. Running axiom selection ...
% 2.30/1.38 % [INFO] Axiom selection finished. Selected 62 axioms (removed 17 axioms).
% 2.30/1.44 % [INFO] Problem is first-order (TPTP FOF).
% 2.30/1.44 % [INFO] Type checking passed.
% 2.30/1.45 % [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 ...
% 4.27/2.05 % External prover 'e' found a proof!
% 4.27/2.05 % [INFO] Killing All external provers ...
% 4.27/2.05 % Time passed: 1509ms (effective reasoning time: 1021ms)
% 4.27/2.05 % 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)>
% 4.27/2.05 % Axioms used in derivation (62): just64, just10, just8, just16, just70, just12, just59, just60, just13, just72, just3, just73, just62, just36, just51, just47, just53, just75, just43, just57, just15, just4, just52, just46, just35, just68, just63, just74, just11, just79, just7, just42, just56, just31, just67, just34, just45, just66, just49, just55, just71, just1, just6, just30, just41, just61, just29, just37, just50, just32, just65, just48, just54, just69, just33, just76, just58, just5, just2, just44, just14, just9
% 4.27/2.05 % No. of inferences in proof: 128
% 4.27/2.05 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1509 ms resp. 1021 ms w/o parsing
% 4.72/2.12 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.72/2.12 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------