TSTP Solution File: CSR046+1 by Leo-III---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : CSR046+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n002.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 07:31:54 EDT 2024
% Result : Theorem 3.92s 1.96s
% Output : Refutation 4.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 89
% Syntax : Number of formulae : 146 ( 39 unt; 34 typ; 0 def)
% Number of atoms : 203 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 484 ( 4 ~; 0 |; 20 &; 389 @)
% ( 0 <=>; 71 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 35 ( 34 usr; 17 con; 0-3 aty)
% Number of variables : 162 ( 0 ^ 162 !; 0 ?; 162 :)
% Comments :
%------------------------------------------------------------------------------
thf(mtvisible_type,type,
mtvisible: $i > $o ).
thf(f_contentmtofcdafromeventfn_type,type,
f_contentmtofcdafromeventfn: $i > $i > $i ).
thf(f_urlreferentfn_type,type,
f_urlreferentfn: $i > $i ).
thf(f_urlfn_type,type,
f_urlfn: $i > $i ).
thf(s_http_wwwfuntriviacomplayquizcfmqid60926origin_type,type,
s_http_wwwfuntriviacomplayquizcfmqid60926origin: $i ).
thf(c_translation_0_885_type,type,
c_translation_0_885: $i ).
thf(genls_type,type,
genls: $i > $i > $o ).
thf(c_tptpcol_16_50958_type,type,
c_tptpcol_16_50958: $i ).
thf(c_tptpcol_15_50957_type,type,
c_tptpcol_15_50957: $i ).
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(microtheory_type,type,
microtheory: $i > $o ).
thf(genlmt_type,type,
genlmt: $i > $i > $o ).
thf(isa_type,type,
isa: $i > $i > $o ).
thf(c_machinelearningspindleheadmt_type,type,
c_machinelearningspindleheadmt: $i ).
thf(c_cycnounlearnermt_type,type,
c_cycnounlearnermt: $i ).
thf(c_transitivebinarypredicate_type,type,
c_transitivebinarypredicate: $i ).
thf(thing_type,type,
thing: $i > $o ).
thf(c_cycorpproductsmt_type,type,
c_cycorpproductsmt: $i ).
thf(c_basekb_type,type,
c_basekb: $i ).
thf(tptpcol_16_50958_type,type,
tptpcol_16_50958: $i > $o ).
thf(tptpcol_15_50957_type,type,
tptpcol_15_50957: $i > $o ).
thf(c_universalvocabularymt_type,type,
c_universalvocabularymt: $i ).
thf(natfunction_type,type,
natfunction: $i > $i > $o ).
thf(c_urlreferentfn_type,type,
c_urlreferentfn: $i ).
thf(uniformresourcelocator_type,type,
uniformresourcelocator: $i > $o ).
thf(c_urlfn_type,type,
c_urlfn: $i ).
thf(natargument_type,type,
natargument: $i > $i > $i > $o ).
thf(n_1_type,type,
n_1: $i ).
thf(computerdataartifact_type,type,
computerdataartifact: $i > $o ).
thf(n_2_type,type,
n_2: $i ).
thf(c_contentmtofcdafromeventfn_type,type,
c_contentmtofcdafromeventfn: $i ).
thf(52,axiom,
! [A: $i] : ( natargument @ ( f_urlfn @ A ) @ n_1 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just48) ).
thf(157,plain,
! [A: $i] : ( natargument @ ( f_urlfn @ A ) @ n_1 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just61) ).
thf(65,plain,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(48,axiom,
! [A: $i] :
( ( tptpcol_16_50958 @ A )
=> ( isa @ A @ c_tptpcol_16_50958 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just30) ).
thf(149,plain,
! [A: $i] :
( ( tptpcol_16_50958 @ A )
=> ( isa @ A @ c_tptpcol_16_50958 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(33,axiom,
! [A: $i,B: $i] : ( microtheory @ ( f_contentmtofcdafromeventfn @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just56) ).
thf(118,plain,
! [A: $i,B: $i] : ( microtheory @ ( f_contentmtofcdafromeventfn @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(29,axiom,
genls @ c_tptpcol_16_50958 @ c_tptpcol_15_50957,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
thf(112,plain,
genls @ c_tptpcol_16_50958 @ c_tptpcol_15_50957,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(5,axiom,
! [A: $i] :
( ( microtheory @ A )
=> ( genlmt @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just64) ).
thf(63,plain,
! [A: $i] :
( ( microtheory @ A )
=> ( genlmt @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(9,axiom,
! [A: $i] :
( ( microtheory @ A )
=> ( genlmt @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just65) ).
thf(72,plain,
! [A: $i] :
( ( microtheory @ A )
=> ( genlmt @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( thing @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just45) ).
thf(82,plain,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( thing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(43,axiom,
! [A: $i,B: $i] :
( ( genls @ A @ B )
=> ( collection @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just32) ).
thf(138,plain,
! [A: $i,B: $i] :
( ( genls @ A @ B )
=> ( collection @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(23,axiom,
! [A: $i] :
( ( transitivebinarypredicate @ A )
=> ( isa @ A @ c_transitivebinarypredicate ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just41) ).
thf(101,plain,
! [A: $i] :
( ( transitivebinarypredicate @ A )
=> ( isa @ A @ c_transitivebinarypredicate ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just60) ).
thf(88,plain,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(31,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( disjointwith @ A @ B )
& ( genls @ C @ B ) )
=> ( disjointwith @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just25) ).
thf(115,plain,
! [A: $i,B: $i,C: $i] :
( ( ( disjointwith @ A @ B )
& ( genls @ C @ B ) )
=> ( disjointwith @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(34,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( genls @ A @ B )
& ( genls @ C @ A ) )
=> ( genls @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just38) ).
thf(120,plain,
! [A: $i,B: $i,C: $i] :
( ( ( genls @ A @ B )
& ( genls @ C @ A ) )
=> ( genls @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(45,axiom,
! [A: $i] : ( computerdataartifact @ ( f_urlreferentfn @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just52) ).
thf(142,plain,
! [A: $i] : ( computerdataartifact @ ( f_urlreferentfn @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(50,axiom,
! [A: $i,B: $i] : ( natfunction @ ( f_contentmtofcdafromeventfn @ A @ B ) @ c_contentmtofcdafromeventfn ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just53) ).
thf(153,plain,
! [A: $i,B: $i] : ( natfunction @ ( f_contentmtofcdafromeventfn @ A @ B ) @ c_contentmtofcdafromeventfn ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(1,conjecture,
( ( mtvisible @ ( f_contentmtofcdafromeventfn @ ( f_urlreferentfn @ ( f_urlfn @ s_http_wwwfuntriviacomplayquizcfmqid60926origin ) ) @ c_translation_0_885 ) )
=> ( genls @ c_tptpcol_16_50958 @ c_tptpcol_15_50957 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query46) ).
thf(2,negated_conjecture,
~ ( ( mtvisible @ ( f_contentmtofcdafromeventfn @ ( f_urlreferentfn @ ( f_urlfn @ s_http_wwwfuntriviacomplayquizcfmqid60926origin ) ) @ c_translation_0_885 ) )
=> ( genls @ c_tptpcol_16_50958 @ c_tptpcol_15_50957 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(57,plain,
~ ( ( mtvisible @ ( f_contentmtofcdafromeventfn @ ( f_urlreferentfn @ ( f_urlfn @ s_http_wwwfuntriviacomplayquizcfmqid60926origin ) ) @ c_translation_0_885 ) )
=> ( genls @ c_tptpcol_16_50958 @ c_tptpcol_15_50957 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just59) ).
thf(78,plain,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( collection @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just22) ).
thf(61,plain,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( collection @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(40,axiom,
! [A: $i] : ( natargument @ ( f_urlreferentfn @ A ) @ n_1 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just51) ).
thf(132,plain,
! [A: $i] : ( natargument @ ( f_urlreferentfn @ A ) @ n_1 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( collection @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just43) ).
thf(74,plain,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( collection @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( collection @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just42) ).
thf(85,plain,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( collection @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(3,axiom,
transitivebinarypredicate @ c_genlmt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just4) ).
thf(60,plain,
transitivebinarypredicate @ c_genlmt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(32,axiom,
genlmt @ ( f_contentmtofcdafromeventfn @ ( f_urlreferentfn @ ( f_urlfn @ s_http_wwwfuntriviacomplayquizcfmqid60926origin ) ) @ c_translation_0_885 ) @ c_machinelearningspindleheadmt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just3) ).
thf(117,plain,
genlmt @ ( f_contentmtofcdafromeventfn @ ( f_urlreferentfn @ ( f_urlfn @ s_http_wwwfuntriviacomplayquizcfmqid60926origin ) ) @ c_translation_0_885 ) @ c_machinelearningspindleheadmt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(54,axiom,
! [A: $i,B: $i] :
( ( genls @ A @ B )
=> ( collection @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just33) ).
thf(160,plain,
! [A: $i,B: $i] :
( ( genls @ A @ B )
=> ( collection @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(56,axiom,
! [A: $i,B: $i] :
( ( genls @ A @ B )
=> ( collection @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).
thf(165,plain,
! [A: $i,B: $i] :
( ( genls @ A @ B )
=> ( collection @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(27,axiom,
! [A: $i] : ( natfunction @ ( f_urlreferentfn @ A ) @ c_urlreferentfn ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just50) ).
thf(109,plain,
! [A: $i] : ( natfunction @ ( f_urlreferentfn @ A ) @ c_urlreferentfn ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(36,axiom,
! [A: $i] : ( uniformresourcelocator @ ( f_urlfn @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just49) ).
thf(124,plain,
! [A: $i] : ( uniformresourcelocator @ ( f_urlfn @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(21,axiom,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( disjointwith @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just24) ).
thf(96,plain,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( disjointwith @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(41,axiom,
! [A: $i] :
( ( collection @ A )
=> ( genls @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just36) ).
thf(134,plain,
! [A: $i] :
( ( collection @ A )
=> ( genls @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(38,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( genls @ A @ B )
& ( genls @ B @ C ) )
=> ( genls @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just35) ).
thf(128,plain,
! [A: $i,B: $i,C: $i] :
( ( ( genls @ A @ B )
& ( genls @ B @ C ) )
=> ( genls @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(8,axiom,
genlmt @ c_machinelearningspindleheadmt @ c_cycnounlearnermt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).
thf(71,plain,
genlmt @ c_machinelearningspindleheadmt @ c_cycnounlearnermt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(46,axiom,
! [A: $i,B: $i] : ( natargument @ ( f_contentmtofcdafromeventfn @ A @ B ) @ n_2 @ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just55) ).
thf(144,plain,
! [A: $i,B: $i] : ( natargument @ ( f_contentmtofcdafromeventfn @ A @ B ) @ n_2 @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(53,axiom,
mtvisible @ c_basekb,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just66) ).
thf(159,plain,
mtvisible @ c_basekb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(30,axiom,
! [A: $i] :
( ( isa @ A @ c_tptpcol_16_50958 )
=> ( tptpcol_16_50958 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).
thf(113,plain,
! [A: $i] :
( ( isa @ A @ c_tptpcol_16_50958 )
=> ( tptpcol_16_50958 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( genlmt @ A @ B )
& ( genlmt @ B @ C ) )
=> ( genlmt @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just63) ).
thf(76,plain,
! [A: $i,B: $i,C: $i] :
( ( ( genlmt @ A @ B )
& ( genlmt @ B @ C ) )
=> ( genlmt @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( collection @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just23) ).
thf(98,plain,
! [A: $i,B: $i] :
( ( disjointwith @ A @ B )
=> ( collection @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(24,axiom,
genlmt @ c_basekb @ c_universalvocabularymt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).
thf(103,plain,
genlmt @ c_basekb @ c_universalvocabularymt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(44,axiom,
! [A: $i,B: $i] :
( ( ( mtvisible @ A )
& ( genlmt @ A @ B ) )
=> ( mtvisible @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just58) ).
thf(140,plain,
! [A: $i,B: $i] :
( ( ( mtvisible @ A )
& ( genlmt @ A @ B ) )
=> ( mtvisible @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just62) ).
thf(91,plain,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(51,axiom,
! [A: $i] :
( ( collection @ A )
=> ( genls @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just37) ).
thf(155,plain,
! [A: $i] :
( ( collection @ A )
=> ( genls @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(39,axiom,
! [A: $i,B: $i] : ( natargument @ ( f_contentmtofcdafromeventfn @ A @ B ) @ n_1 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just54) ).
thf(130,plain,
! [A: $i,B: $i] : ( natargument @ ( f_contentmtofcdafromeventfn @ A @ B ) @ n_1 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(13,axiom,
! [A: $i] :
( ( isa @ A @ c_transitivebinarypredicate )
=> ( transitivebinarypredicate @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just40) ).
thf(80,plain,
! [A: $i] :
( ( isa @ A @ c_transitivebinarypredicate )
=> ( transitivebinarypredicate @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(16,axiom,
genlmt @ c_cycorpproductsmt @ c_basekb,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
thf(87,plain,
genlmt @ c_cycorpproductsmt @ c_basekb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(25,axiom,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( thing @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just44) ).
thf(104,plain,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( thing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(49,axiom,
! [A: $i] :
( ( tptpcol_15_50957 @ A )
=> ( isa @ A @ c_tptpcol_15_50957 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just28) ).
thf(151,plain,
! [A: $i] :
( ( tptpcol_15_50957 @ A )
=> ( isa @ A @ c_tptpcol_15_50957 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(47,axiom,
! [A: $i,B: $i] :
( ( genls @ A @ B )
=> ( collection @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
thf(146,plain,
! [A: $i,B: $i] :
( ( genls @ A @ B )
=> ( collection @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(26,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( disjointwith @ A @ B )
& ( genls @ C @ A ) )
=> ( disjointwith @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just26) ).
thf(107,plain,
! [A: $i,B: $i,C: $i] :
( ( ( disjointwith @ A @ B )
& ( genls @ C @ A ) )
=> ( disjointwith @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(20,axiom,
! [A: $i] :
( ( tptpcol_16_50958 @ A )
=> ( tptpcol_15_50957 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
thf(94,plain,
! [A: $i] :
( ( tptpcol_16_50958 @ A )
=> ( tptpcol_15_50957 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(37,axiom,
! [A: $i] : ( natfunction @ ( f_urlfn @ A ) @ c_urlfn ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just47) ).
thf(126,plain,
! [A: $i] : ( natfunction @ ( f_urlfn @ A ) @ c_urlfn ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(42,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( isa @ A @ B )
& ( genls @ B @ C ) )
=> ( isa @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just46) ).
thf(136,plain,
! [A: $i,B: $i,C: $i] :
( ( ( isa @ A @ B )
& ( genls @ B @ C ) )
=> ( isa @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(55,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( genls @ A @ B )
& ( genls @ B @ C ) )
=> ( genls @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just39) ).
thf(163,plain,
! [A: $i,B: $i,C: $i] :
( ( ( genls @ A @ B )
& ( genls @ B @ C ) )
=> ( genls @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( isa @ A @ B )
& ( isa @ A @ C )
& ( disjointwith @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
thf(68,plain,
! [A: $i,B: $i,C: $i] :
~ ( ( isa @ A @ B )
& ( isa @ A @ C )
& ( disjointwith @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(35,axiom,
! [A: $i] :
( ( isa @ A @ c_tptpcol_15_50957 )
=> ( tptpcol_15_50957 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just27) ).
thf(122,plain,
! [A: $i] :
( ( isa @ A @ c_tptpcol_15_50957 )
=> ( tptpcol_15_50957 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(18,axiom,
genlmt @ c_cycnounlearnermt @ c_cycorpproductsmt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just2) ).
thf(90,plain,
genlmt @ c_cycnounlearnermt @ c_cycorpproductsmt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(28,axiom,
mtvisible @ c_universalvocabularymt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just57) ).
thf(111,plain,
mtvisible @ c_universalvocabularymt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(167,plain,
$false,
inference(e,[status(thm)],[157,65,149,118,112,63,72,82,138,101,88,115,120,142,153,57,78,61,132,74,85,60,117,160,165,109,124,96,134,128,71,144,159,113,76,98,103,140,91,155,130,80,87,104,151,146,107,94,126,136,163,68,122,90,111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR046+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n002.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 15:35:24 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.97/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/1.00 % [INFO] Parsing done (140ms).
% 1.21/1.00 % [INFO] Running in sequential loop mode.
% 1.81/1.21 % [INFO] eprover registered as external prover.
% 1.81/1.21 % [INFO] cvc4 registered as external prover.
% 1.81/1.22 % [INFO] Scanning for conjecture ...
% 1.94/1.30 % [INFO] Found a conjecture and 66 axioms. Running axiom selection ...
% 2.20/1.38 % [INFO] Axiom selection finished. Selected 54 axioms (removed 12 axioms).
% 2.20/1.44 % [INFO] Problem is first-order (TPTP FOF).
% 2.49/1.45 % [INFO] Type checking passed.
% 2.49/1.46 % [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 ...
% 3.92/1.96 % External prover 'e' found a proof!
% 3.92/1.96 % [INFO] Killing All external provers ...
% 3.92/1.96 % Time passed: 1445ms (effective reasoning time: 954ms)
% 3.92/1.96 % 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)>
% 3.92/1.96 % Axioms used in derivation (54): just28, just64, just43, just8, just63, just27, just31, just60, just33, just25, just9, just3, just62, just36, just51, just47, just53, just57, just26, just40, just4, just52, just46, just35, just23, just22, just7, just42, just56, just34, just45, just66, just49, just55, just1, just38, just59, just24, just6, just30, just41, just61, just29, just37, just50, just32, just39, just65, just48, just54, just58, just5, just2, just44
% 3.92/1.96 % No. of inferences in proof: 112
% 3.92/1.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1445 ms resp. 954 ms w/o parsing
% 4.18/2.02 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.18/2.02 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------