%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ITP169^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:07:02 AM UTC 2026
% Result : Theorem 15.47s 3.76s
% Output : Refutation 16.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 170
% Syntax : Number of formulae : 342 ( 150 unt; 0 typ; 0 def)
% Number of atoms : 1478 ( 822 equ; 0 cnn)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 6476 ( 48 ~; 68 |; 832 &;5316 @)
% ( 0 <=>; 212 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 9 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 136 ( 136 >; 0 *; 0 +; 0 <<)
% Number of symbols : 39 ( 37 usr; 14 con; 0-4 aty)
% Number of variables : 1282 ( 4 ^; 990 !; 288 ?;1282 :)
% Comments :
%------------------------------------------------------------------------------
thf(view_e774982825t_unit_type,type,
view_e774982825t_unit: $tType ).
thf(real_int_type,type,
real_int: $tType ).
thf(nat_int_type,type,
nat_int: $tType ).
thf(traffic_type,type,
traffic: $tType ).
thf(real_type,type,
real: $tType ).
thf(cars_type,type,
cars: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(one_one_nat_decl,type,
one_one_nat: nat ).
thf(plus_plus_real_decl,type,
plus_plus_real: real > real > real ).
thf(zero_zero_nat_decl,type,
zero_zero_nat: nat ).
thf(zero_zero_real_decl,type,
zero_zero_real: real ).
thf(len_decl,type,
len: ( cars > traffic > cars > real ) > view_e774982825t_unit > traffic > cars > real_int ).
thf(move_decl,type,
move: traffic > traffic > view_e774982825t_unit > view_e774982825t_unit ).
thf(nat_card_decl,type,
nat_card: nat_int > nat ).
thf(bot_bot_nat_int_decl,type,
bot_bot_nat_int: nat_int ).
thf(ord_less_real_decl,type,
ord_less_real: real > real > $o ).
thf(ord_less_eq_nat_int_decl,type,
ord_less_eq_nat_int: nat_int > nat_int > $o ).
thf(ord_less_eq_nat_decl,type,
ord_less_eq_nat: nat > nat > $o ).
thf(ord_less_eq_real_int_decl,type,
ord_less_eq_real_int: real_int > real_int > $o ).
thf(ord_le461438217t_unit_decl,type,
ord_le461438217t_unit: view_e774982825t_unit > view_e774982825t_unit > $o ).
thf(real_length_decl,type,
real_length: real_int > real ).
thf(regular_regular_decl,type,
regular_regular: cars > traffic > cars > real ).
thf(restrict_decl,type,
restrict: view_e774982825t_unit > ( cars > nat_int ) > cars > nat_int ).
thf(abstract_decl,type,
abstract: traffic > traffic > $o ).
thf(clm_decl,type,
clm: traffic > cars > nat_int ).
thf(create_claim_decl,type,
create_claim: traffic > cars > nat > traffic > $o ).
thf(create_reservation_decl,type,
create_reservation: traffic > cars > traffic > $o ).
thf(res_decl,type,
res: traffic > cars > nat_int ).
thf(withdraw_claim_decl,type,
withdraw_claim: traffic > cars > traffic > $o ).
thf(withdraw_reservation_decl,type,
withdraw_reservation: traffic > cars > nat > traffic > $o ).
thf(ext_Product_unit_decl,type,
ext_Product_unit: view_e774982825t_unit > real_int ).
thf(hchop_decl,type,
hchop: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > $o ).
thf(lan_Product_unit_decl,type,
lan_Product_unit: view_e774982825t_unit > nat_int ).
thf(own_Product_unit_decl,type,
own_Product_unit: view_e774982825t_unit > cars ).
thf(vchop_decl,type,
vchop: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > $o ).
thf(c_decl,type,
c: cars ).
thf(d_decl,type,
d: cars ).
thf(e_decl,type,
e: cars ).
thf(thesis_decl,type,
thesis: $o ).
thf(ts_decl,type,
ts: traffic ).
thf(ts2_decl,type,
ts2: traffic ).
thf(ts_a_decl,type,
ts_a: traffic ).
thf(ts3_decl,type,
ts3: traffic ).
thf(v_decl,type,
v: view_e774982825t_unit ).
thf(124,axiom,
! [A: view_e774982825t_unit,B: traffic,C: cars,D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( ( ( real_length @ ( len @ regular_regular @ A @ B @ C ) )
= zero_zero_real )
& ( hchop @ A @ D @ E ) )
=> ( ( real_length @ ( len @ regular_regular @ E @ B @ C ) )
= zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_hmlsl_Olen__empty__on__subview2) ).
thf(645,plain,
! [A: view_e774982825t_unit,B: traffic,C: cars,D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( ( ( real_length @ ( len @ regular_regular @ A @ B @ C ) )
= zero_zero_real )
& ( hchop @ A @ D @ E ) )
=> ( ( real_length @ ( len @ regular_regular @ E @ B @ C ) )
= zero_zero_real ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(120,axiom,
! [A: traffic,B: view_e774982825t_unit] :
? [C: cars] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( len @ regular_regular @ B @ A @ C )
= ( ext_Product_unit @ B ) )
& ( ( restrict @ B @ ( clm @ A ) @ C )
= ( lan_Product_unit @ B ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat ) )
=> ~ ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat )
& ! [D: cars] :
( ( ( real_length @ ( len @ regular_regular @ B @ A @ D ) )
= zero_zero_real )
| ( ( ( restrict @ B @ ( clm @ A ) @ D )
= bot_bot_nat_int )
& ( ( restrict @ B @ ( res @ A ) @ D )
= bot_bot_nat_int ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_69_local_Ohmlsl_Oclm__not__free) ).
thf(629,plain,
! [A: traffic,B: view_e774982825t_unit] :
? [C: cars] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( len @ regular_regular @ B @ A @ C )
= ( ext_Product_unit @ B ) )
& ( ( restrict @ B @ ( clm @ A ) @ C )
= ( lan_Product_unit @ B ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat ) )
=> ~ ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat )
& ! [D: cars] :
( ( ( real_length @ ( len @ regular_regular @ B @ A @ D ) )
= zero_zero_real )
| ( ( ( restrict @ B @ ( clm @ A ) @ D )
= bot_bot_nat_int )
& ( ( restrict @ B @ ( res @ A ) @ D )
= bot_bot_nat_int ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(96,axiom,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
= ( ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( res @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ B @ A )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ B ) @ A )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_local_Ohmlsl_Ores__dense) ).
thf(479,plain,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
= ( ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( res @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ B @ A )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ B ) @ A )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(57,axiom,
! [A: traffic > view_e774982825t_unit > $o,B: traffic,C: view_e774982825t_unit] :
( ( A @ B @ C )
=> ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ( A @ B @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_local_Ohmlsl_Ohchop__weaken2) ).
thf(347,plain,
! [A: traffic > view_e774982825t_unit > $o,B: traffic,C: view_e774982825t_unit] :
( ( A @ B @ C )
=> ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ( A @ B @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(29,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: view_e774982825t_unit,E: view_e774982825t_unit,F: nat] :
( ( ( vchop @ A @ B @ C )
& ( vchop @ C @ D @ E )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= F ) )
=> ( ord_less_eq_nat @ F @ ( nat_card @ ( lan_Product_unit @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_77_view_Overtical__chop__width__mon) ).
thf(249,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: view_e774982825t_unit,E: view_e774982825t_unit,F: nat] :
( ( ( vchop @ A @ B @ C )
& ( vchop @ C @ D @ E )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= F ) )
=> ( ord_less_eq_nat @ F @ ( nat_card @ ( lan_Product_unit @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(164,axiom,
! [A: real,B: traffic,C: view_e774982825t_unit] :
( ( ( real_length @ ( ext_Product_unit @ C ) )
= A )
= ( ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( vchop @ C @ D @ E )
& ( ( real_length @ ( ext_Product_unit @ D ) )
= A )
& ( ( real_length @ ( ext_Product_unit @ E ) )
= A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_local_Ohmlsl_Olength__vchop__stable) ).
thf(893,plain,
! [A: real,B: view_e774982825t_unit] :
( ( ( real_length @ ( ext_Product_unit @ B ) )
= A )
= ( ? [C: view_e774982825t_unit,D: view_e774982825t_unit] :
( ( vchop @ B @ C @ D )
& ( ( real_length @ ( ext_Product_unit @ C ) )
= A )
& ( ( real_length @ ( ext_Product_unit @ D ) )
= A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(130,axiom,
! [A: real,B: real] :
( ( ord_less_real @ ( plus_plus_real @ A @ B ) @ A )
= ( ord_less_real @ B @ zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_219_add__less__same__cancel1) ).
thf(666,plain,
! [A: real,B: real] :
( ( ord_less_real @ ( plus_plus_real @ A @ B ) @ A )
= ( ord_less_real @ B @ zero_zero_real ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(147,axiom,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( clm @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
= ( ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( clm @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ B @ A )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( clm @ B ) @ A )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_local_Ohmlsl_Oclm__dense) ).
thf(777,plain,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( clm @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
= ( ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( clm @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ B @ A )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( clm @ B ) @ A )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(107,axiom,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( clm @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
=> ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( clm @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ B @ A )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( clm @ B ) @ A )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_local_Ohmlsl_Oclm__decompose) ).
thf(555,plain,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( clm @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
=> ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( clm @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ B @ A )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( clm @ B ) @ A )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(69,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( ( hchop @ A @ B @ C )
& ( hchop @ B @ D @ E ) )
=> ? [F: view_e774982825t_unit] :
( ( hchop @ A @ D @ F )
& ( hchop @ F @ E @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_view_Ohorizontal__chop__assoc2) ).
thf(379,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( ( hchop @ A @ B @ C )
& ( hchop @ B @ D @ E ) )
=> ? [F: view_e774982825t_unit] :
( ( hchop @ A @ D @ F )
& ( hchop @ F @ E @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(159,axiom,
! [A: traffic,B: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat )
& ! [C: cars] :
( ( ( real_length @ ( len @ regular_regular @ B @ A @ C ) )
= zero_zero_real )
| ( ( ( restrict @ B @ ( clm @ A ) @ C )
= bot_bot_nat_int )
& ( ( restrict @ B @ ( res @ A ) @ C )
= bot_bot_nat_int ) ) ) )
=> ~ ? [C: cars] :
( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( len @ regular_regular @ B @ A @ C )
= ( ext_Product_unit @ B ) )
& ( ( restrict @ B @ ( clm @ A ) @ C )
= ( lan_Product_unit @ B ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_67_local_Ohmlsl_Ofree__no__clm) ).
thf(861,plain,
! [A: traffic,B: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat )
& ! [C: cars] :
( ( ( real_length @ ( len @ regular_regular @ B @ A @ C ) )
= zero_zero_real )
| ( ( ( restrict @ B @ ( clm @ A ) @ C )
= bot_bot_nat_int )
& ( ( restrict @ B @ ( res @ A ) @ C )
= bot_bot_nat_int ) ) ) )
=> ~ ? [C: cars] :
( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( len @ regular_regular @ B @ A @ C )
= ( ext_Product_unit @ B ) )
& ( ( restrict @ B @ ( clm @ A ) @ C )
= ( lan_Product_unit @ B ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(150,axiom,
! [A: traffic,B: cars,C: traffic,D: view_e774982825t_unit] :
( ( ( create_reservation @ A @ B @ C )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ C @ B )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( res @ C ) @ B )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat ) )
=> ( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ A @ B )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( res @ A ) @ B )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat ) )
| ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ A @ B )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( clm @ A ) @ B )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_106_hmlsl__regular_Obackwards__res__act) ).
thf(797,plain,
! [A: traffic,B: cars,C: traffic,D: view_e774982825t_unit] :
( ( ( create_reservation @ A @ B @ C )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ C @ B )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( res @ C ) @ B )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat ) )
=> ( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ A @ B )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( res @ A ) @ B )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat ) )
| ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ A @ B )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( clm @ A ) @ B )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(137,axiom,
! [A: traffic,B: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat )
& ! [C: cars] :
( ( ( real_length @ ( len @ regular_regular @ B @ A @ C ) )
= zero_zero_real )
| ( ( ( restrict @ B @ ( clm @ A ) @ C )
= bot_bot_nat_int )
& ( ( restrict @ B @ ( res @ A ) @ C )
= bot_bot_nat_int ) ) ) )
= ( ? [C: view_e774982825t_unit,D: view_e774982825t_unit] :
( ( hchop @ B @ C @ D )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat )
& ! [E: cars] :
( ( ( real_length @ ( len @ regular_regular @ C @ A @ E ) )
= zero_zero_real )
| ( ( ( restrict @ C @ ( clm @ A ) @ E )
= bot_bot_nat_int )
& ( ( restrict @ C @ ( res @ A ) @ E )
= bot_bot_nat_int ) ) )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ! [E: cars] :
( ( ( real_length @ ( len @ regular_regular @ D @ A @ E ) )
= zero_zero_real )
| ( ( ( restrict @ D @ ( clm @ A ) @ E )
= bot_bot_nat_int )
& ( ( restrict @ D @ ( res @ A ) @ E )
= bot_bot_nat_int ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_local_Ohmlsl_Ofree__dense) ).
thf(715,plain,
! [A: traffic,B: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat )
& ! [C: cars] :
( ( ( real_length @ ( len @ regular_regular @ B @ A @ C ) )
= zero_zero_real )
| ( ( ( restrict @ B @ ( clm @ A ) @ C )
= bot_bot_nat_int )
& ( ( restrict @ B @ ( res @ A ) @ C )
= bot_bot_nat_int ) ) ) )
= ( ? [C: view_e774982825t_unit,D: view_e774982825t_unit] :
( ( hchop @ B @ C @ D )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat )
& ! [E: cars] :
( ( ( real_length @ ( len @ regular_regular @ C @ A @ E ) )
= zero_zero_real )
| ( ( ( restrict @ C @ ( clm @ A ) @ E )
= bot_bot_nat_int )
& ( ( restrict @ C @ ( res @ A ) @ E )
= bot_bot_nat_int ) ) )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ! [E: cars] :
( ( ( real_length @ ( len @ regular_regular @ D @ A @ E ) )
= zero_zero_real )
| ( ( ( restrict @ D @ ( clm @ A ) @ E )
= bot_bot_nat_int )
& ( ( restrict @ D @ ( res @ A ) @ E )
= bot_bot_nat_int ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(55,axiom,
! [A: real,B: real] :
( ( A
= ( plus_plus_real @ B @ A ) )
= ( B = zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_195_add__cancel__right__left) ).
thf(340,plain,
! [A: real,B: real] :
( ( A
= ( plus_plus_real @ B @ A ) )
= ( B = zero_zero_real ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(103,axiom,
( ( move @ ts3 @ ts_a @ v )
= ( move @ ts_a @ ts @ ( move @ ts3 @ ts_a @ v ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8__092_060open_062move_Ats_Ats_H_Av_A_061_Amove_Ats_H_Ats_H_H_A_Imove_Ats_Ats_H_Av_J_092_060close_062) ).
thf(538,plain,
( ( move @ ts3 @ ts_a @ v )
= ( move @ ts_a @ ts @ ( move @ ts3 @ ts_a @ v ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(77,axiom,
! [A: traffic > view_e774982825t_unit > $o,B: traffic > view_e774982825t_unit > $o,C: traffic > view_e774982825t_unit > $o,D: traffic,E: view_e774982825t_unit] :
( ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( vchop @ E @ F @ G )
& ( ( A @ D @ F )
| ( B @ D @ F ) )
& ( C @ D @ G ) ) )
= ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( vchop @ E @ F @ G )
& ( A @ D @ F )
& ( C @ D @ G ) )
| ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( vchop @ E @ F @ G )
& ( B @ D @ F )
& ( C @ D @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_local_Ohmlsl_Ovchop__disj__distr2) ).
thf(404,plain,
! [A: traffic > view_e774982825t_unit > $o,B: traffic > view_e774982825t_unit > $o,C: traffic > view_e774982825t_unit > $o,D: traffic,E: view_e774982825t_unit] :
( ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( vchop @ E @ F @ G )
& ( ( A @ D @ F )
| ( B @ D @ F ) )
& ( C @ D @ G ) ) )
= ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( vchop @ E @ F @ G )
& ( A @ D @ F )
& ( C @ D @ G ) )
| ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( vchop @ E @ F @ G )
& ( B @ D @ F )
& ( C @ D @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(7,axiom,
! [A: nat] : ( ord_less_eq_nat @ zero_zero_nat @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_92_zero__le) ).
thf(185,plain,
! [A: nat] : ( ord_less_eq_nat @ zero_zero_nat @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(153,axiom,
! [A: traffic > view_e774982825t_unit > $o,B: traffic,C: view_e774982825t_unit] :
( ! [D: traffic] :
( ( abstract @ B @ D )
=> ( A @ D @ ( move @ B @ D @ C ) ) )
=> ( A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_local_Ohmlsl_Oglobally__refl) ).
thf(841,plain,
! [A: traffic > view_e774982825t_unit > $o,B: traffic,C: view_e774982825t_unit] :
( ! [D: traffic] :
( ( abstract @ B @ D )
=> ( A @ D @ ( move @ B @ D @ C ) ) )
=> ( A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(47,axiom,
! [A: traffic,B: cars] : ( ord_less_eq_nat @ ( nat_card @ ( clm @ A @ B ) ) @ one_one_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_173_traffic_OatMostOneClm) ).
thf(320,plain,
! [A: traffic,B: cars] : ( ord_less_eq_nat @ ( nat_card @ ( clm @ A @ B ) ) @ one_one_nat ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(88,axiom,
! [A: view_e774982825t_unit,B: traffic,C: cars] : ( ord_less_eq_nat_int @ ( restrict @ A @ ( res @ B ) @ C ) @ ( res @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_115_restriction_Orestrict__res) ).
thf(436,plain,
! [A: view_e774982825t_unit,B: traffic,C: cars] : ( ord_less_eq_nat_int @ ( restrict @ A @ ( res @ B ) @ C ) @ ( res @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(101,axiom,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
=> ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( res @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ B @ A )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ B ) @ A )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_local_Ohmlsl_Ores__decompose) ).
thf(504,plain,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
=> ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( res @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ B @ A )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ B ) @ A )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(170,axiom,
! [A: traffic,B: view_e774982825t_unit] :
( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
=> ? [C: view_e774982825t_unit,D: view_e774982825t_unit] :
( ( hchop @ B @ C @ D )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_local_Ohmlsl_Olength__split) ).
thf(917,plain,
! [A: view_e774982825t_unit] :
( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ A ) ) )
=> ? [B: view_e774982825t_unit,C: view_e774982825t_unit] :
( ( hchop @ A @ B @ C )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(61,axiom,
! [A: nat,B: nat] :
( ( ord_less_eq_nat @ A @ B )
=> ( ( ord_less_eq_nat @ B @ A )
=> ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_159_le__antisym) ).
thf(357,plain,
! [A: nat,B: nat] :
( ( ord_less_eq_nat @ A @ B )
=> ( ( ord_less_eq_nat @ B @ A )
=> ( A = B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(117,axiom,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ( ! [D: traffic] :
( ( create_reservation @ B @ A @ D )
=> ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ D @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ D ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ) ) )
= ( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
| ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( clm @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_109_hmlsl__regular_Oreservation) ).
thf(619,plain,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ( ! [D: traffic] :
( ( create_reservation @ B @ A @ D )
=> ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ D @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ D ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ) ) )
= ( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
| ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( clm @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(152,axiom,
! [A: view_e774982825t_unit,B: traffic,C: cars,D: view_e774982825t_unit] :
( ( ( ( real_length @ ( len @ regular_regular @ A @ B @ C ) )
= zero_zero_real )
& ( ord_le461438217t_unit @ D @ A ) )
=> ( ( real_length @ ( len @ regular_regular @ D @ B @ C ) )
= zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_hmlsl_Olen__empty__subview) ).
thf(838,plain,
! [A: view_e774982825t_unit,B: traffic,C: cars,D: view_e774982825t_unit] :
( ( ( ( real_length @ ( len @ regular_regular @ A @ B @ C ) )
= zero_zero_real )
& ( ord_le461438217t_unit @ D @ A ) )
=> ( ( real_length @ ( len @ regular_regular @ D @ B @ C ) )
= zero_zero_real ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(40,axiom,
! [A: view_e774982825t_unit] :
? [B: view_e774982825t_unit,C: view_e774982825t_unit] : ( hchop @ A @ B @ C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82_view_Ohorizontal__chop1) ).
thf(284,plain,
! [A: view_e774982825t_unit] :
? [B: view_e774982825t_unit,C: view_e774982825t_unit] : ( hchop @ A @ B @ C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(121,axiom,
abstract @ ts3 @ ts2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_abs) ).
thf(638,plain,
abstract @ ts3 @ ts2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(156,axiom,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( vchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( res @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ B @ A )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ B ) @ A )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) )
=> ~ ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_local_Ohmlsl_Otwo__res__not__res) ).
thf(853,plain,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( vchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( res @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ B @ A )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ B ) @ A )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) )
=> ~ ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(83,axiom,
! [A: traffic > view_e774982825t_unit > $o,B: traffic,C: view_e774982825t_unit] :
( ( A @ B @ C )
=> ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( vchop @ C @ D @ E )
& ( A @ B @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_local_Ohmlsl_Ov__chop__weaken2) ).
thf(421,plain,
! [A: traffic > view_e774982825t_unit > $o,B: traffic,C: view_e774982825t_unit] :
( ( A @ B @ C )
=> ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( vchop @ C @ D @ E )
& ( A @ B @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(160,axiom,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
~ ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( vchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( clm @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( vchop @ E @ F @ G )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ G ) ) )
& ( ( len @ regular_regular @ G @ B @ A )
= ( ext_Product_unit @ G ) )
& ( ( restrict @ G @ ( clm @ B ) @ A )
= ( lan_Product_unit @ G ) )
& ( ( nat_card @ ( lan_Product_unit @ G ) )
= one_one_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_55_local_Ohmlsl_Oclm__sing__not__interrupted) ).
thf(870,plain,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
~ ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( vchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( clm @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( vchop @ E @ F @ G )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ G ) ) )
& ( ( len @ regular_regular @ G @ B @ A )
= ( ext_Product_unit @ G ) )
& ( ( restrict @ G @ ( clm @ B ) @ A )
= ( lan_Product_unit @ G ) )
& ( ( nat_card @ ( lan_Product_unit @ G ) )
= one_one_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(99,axiom,
! [A: view_e774982825t_unit,B: traffic,C: cars,D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( ( ( real_length @ ( len @ regular_regular @ A @ B @ C ) )
= zero_zero_real )
& ( hchop @ A @ D @ E ) )
=> ( ( real_length @ ( len @ regular_regular @ D @ B @ C ) )
= zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_hmlsl_Olen__empty__on__subview1) ).
thf(492,plain,
! [A: view_e774982825t_unit,B: traffic,C: cars,D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( ( ( real_length @ ( len @ regular_regular @ A @ B @ C ) )
= zero_zero_real )
& ( hchop @ A @ D @ E ) )
=> ( ( real_length @ ( len @ regular_regular @ D @ B @ C ) )
= zero_zero_real ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(25,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit] :
( ( hchop @ A @ B @ C )
=> ( ord_le461438217t_unit @ C @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97_view_Ohorizontal__chop__leq2) ).
thf(238,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit] :
( ( hchop @ A @ B @ C )
=> ( ord_le461438217t_unit @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(15,axiom,
! [A: real,B: real,C: real] :
( ( ord_less_real @ ( plus_plus_real @ A @ B ) @ ( plus_plus_real @ C @ B ) )
=> ( ord_less_real @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_261_add__less__imp__less__right) ).
thf(211,plain,
! [A: real,B: real,C: real] :
( ( ord_less_real @ ( plus_plus_real @ A @ B ) @ ( plus_plus_real @ C @ B ) )
=> ( ord_less_real @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(30,axiom,
! [A: traffic > view_e774982825t_unit > $o,B: traffic,C: view_e774982825t_unit] :
( ( A @ B @ C )
=> ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ? [F: view_e774982825t_unit] :
( ? [G: view_e774982825t_unit] : ( hchop @ E @ F @ G )
& ( A @ B @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_local_Ohmlsl_Ohchop__weaken) ).
thf(253,plain,
! [A: traffic > view_e774982825t_unit > $o,B: traffic,C: view_e774982825t_unit] :
( ( A @ B @ C )
=> ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ? [F: view_e774982825t_unit] :
( ? [G: view_e774982825t_unit] : ( hchop @ E @ F @ G )
& ( A @ B @ F ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(19,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: view_e774982825t_unit,E: view_e774982825t_unit,F: view_e774982825t_unit,G: view_e774982825t_unit,H: view_e774982825t_unit,I: view_e774982825t_unit,J: cars > nat_int,K: cars] :
( ( ( hchop @ A @ B @ C )
& ( hchop @ C @ D @ E )
& ( vchop @ D @ F @ G )
& ( vchop @ G @ H @ I )
& ( ( nat_card @ ( restrict @ H @ J @ K ) )
= one_one_nat ) )
=> ( ord_less_eq_nat @ one_one_nat @ ( nat_card @ ( restrict @ A @ J @ K ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_105_restriction_Orestriction__card__somewhere__mon) ).
thf(221,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: view_e774982825t_unit,E: view_e774982825t_unit,F: view_e774982825t_unit,G: view_e774982825t_unit,H: view_e774982825t_unit,I: view_e774982825t_unit,J: cars > nat_int,K: cars] :
( ( ( hchop @ A @ B @ C )
& ( hchop @ C @ D @ E )
& ( vchop @ D @ F @ G )
& ( vchop @ G @ H @ I )
& ( ( nat_card @ ( restrict @ H @ J @ K ) )
= one_one_nat ) )
=> ( ord_less_eq_nat @ one_one_nat @ ( nat_card @ ( restrict @ A @ J @ K ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(43,axiom,
! [A: nat > $o,B: nat,C: nat] :
( ( A @ B )
=> ( ! [D: nat] :
( ( A @ D )
=> ( ord_less_eq_nat @ D @ C ) )
=> ? [D: nat] :
( ( A @ D )
& ! [E: nat] :
( ( A @ E )
=> ( ord_less_eq_nat @ E @ D ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_153_Nat_Oex__has__greatest__nat) ).
thf(293,plain,
! [A: nat > $o,B: nat,C: nat] :
( ( A @ B )
=> ( ! [D: nat] :
( ( A @ D )
=> ( ord_less_eq_nat @ D @ C ) )
=> ? [D: nat] :
( ( A @ D )
& ! [E: nat] :
( ( A @ E )
=> ( ord_less_eq_nat @ E @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(146,axiom,
! [A: nat] :
( ( one_one_nat = A )
= ( A = one_one_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_81_one__reorient) ).
thf(774,plain,
! [A: nat] :
( ( one_one_nat = A )
= ( A = one_one_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(128,axiom,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
~ ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( vchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( clm @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ B @ A )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( clm @ B ) @ A )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_local_Ohmlsl_Oclm__sing) ).
thf(660,plain,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
~ ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( vchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( clm @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ B @ A )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( clm @ B ) @ A )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(80,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: cars > nat_int,E: cars] :
( ( hchop @ A @ B @ C )
=> ( ( restrict @ A @ D @ E )
= ( restrict @ C @ D @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_118_restriction_Orestriction__stable2) ).
thf(411,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: cars > nat_int,E: cars] :
( ( hchop @ A @ B @ C )
=> ( ( restrict @ A @ D @ E )
= ( restrict @ C @ D @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(27,axiom,
! [A: nat] :
( ( zero_zero_nat = A )
= ( A = zero_zero_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_79_zero__reorient) ).
thf(243,plain,
! [A: nat] :
( ( zero_zero_nat = A )
= ( A = zero_zero_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(85,axiom,
? [A: cars] : ( withdraw_claim @ ts_a @ A @ ts ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_wd__clm_Ohyps_I2_J) ).
thf(428,plain,
? [A: cars] : ( withdraw_claim @ ts_a @ A @ ts ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(162,axiom,
! [A: traffic,B: cars,C: nat,D: traffic,E: view_e774982825t_unit,F: cars] :
( ( ( withdraw_reservation @ A @ B @ C @ D )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ D @ F )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ D ) @ F )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) )
=> ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ A @ F )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ A ) @ F )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_75_hmlsl__regular_Obackwards__wdr__res__stab) ).
thf(877,plain,
! [A: traffic,B: cars,C: nat,D: traffic,E: view_e774982825t_unit,F: cars] :
( ( ( withdraw_reservation @ A @ B @ C @ D )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ D @ F )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ D ) @ F )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) )
=> ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ A @ F )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ A ) @ F )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(135,axiom,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
~ ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( clm @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ B @ A )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ B ) @ A )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_58_local_Ohmlsl_Ono__clm__before__res) ).
thf(692,plain,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
~ ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( clm @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ B @ A )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ B ) @ A )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(33,axiom,
! [A: nat_int] :
( ( A != bot_bot_nat_int )
= ( ord_less_eq_nat @ one_one_nat @ ( nat_card @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_132_card__non__empty__geq__one) ).
thf(265,plain,
! [A: nat_int] :
( ( A != bot_bot_nat_int )
= ( ord_less_eq_nat @ one_one_nat @ ( nat_card @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(155,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: traffic,E: cars] :
( ( vchop @ A @ B @ C )
=> ( ( len @ regular_regular @ B @ D @ E )
= ( len @ regular_regular @ C @ D @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_hmlsl_Olen__stable) ).
thf(849,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: traffic,E: cars] :
( ( vchop @ A @ B @ C )
=> ( ( len @ regular_regular @ B @ D @ E )
= ( len @ regular_regular @ C @ D @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(23,axiom,
! [A: real,B: real,C: real,D: real] :
( ( ord_less_real @ A @ B )
=> ( ( ord_less_real @ C @ D )
=> ( ord_less_real @ ( plus_plus_real @ A @ C ) @ ( plus_plus_real @ B @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_269_add__strict__mono) ).
thf(233,plain,
! [A: real,B: real,C: real,D: real] :
( ( ord_less_real @ A @ B )
=> ( ( ord_less_real @ C @ D )
=> ( ord_less_real @ ( plus_plus_real @ A @ C ) @ ( plus_plus_real @ B @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(11,axiom,
( ord_le461438217t_unit
= ( ^ [A: view_e774982825t_unit,B: view_e774982825t_unit] :
? [C: view_e774982825t_unit,D: view_e774982825t_unit,E: view_e774982825t_unit,F: view_e774982825t_unit,G: view_e774982825t_unit,H: view_e774982825t_unit,I: view_e774982825t_unit] :
( ( hchop @ B @ F @ C )
& ( hchop @ C @ D @ G )
& ( vchop @ D @ I @ E )
& ( vchop @ E @ A @ H ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_view_Osomewhere__leq) ).
thf(201,plain,
( ord_le461438217t_unit
= ( ^ [A: view_e774982825t_unit,B: view_e774982825t_unit] :
? [C: view_e774982825t_unit,D: view_e774982825t_unit,E: view_e774982825t_unit,F: view_e774982825t_unit,G: view_e774982825t_unit,H: view_e774982825t_unit,I: view_e774982825t_unit] :
( ( hchop @ B @ F @ C )
& ( hchop @ C @ D @ G )
& ( vchop @ D @ I @ E )
& ( vchop @ E @ A @ H ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(144,axiom,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( res @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ B @ A )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ B ) @ A )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) )
=> ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_local_Ohmlsl_Ores__compose) ).
thf(761,plain,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( res @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ B @ A )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ B ) @ A )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) )
=> ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(64,axiom,
! [A: view_e774982825t_unit] :
? [B: view_e774982825t_unit] : ( vchop @ A @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_view_Overtical__chop__empty__down) ).
thf(366,plain,
! [A: view_e774982825t_unit] :
? [B: view_e774982825t_unit] : ( vchop @ A @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(53,axiom,
! [A: traffic > view_e774982825t_unit > $o,B: traffic > view_e774982825t_unit > $o,C: traffic > view_e774982825t_unit > $o,D: traffic,E: view_e774982825t_unit] :
( ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( vchop @ E @ F @ G )
& ( A @ D @ F )
& ? [H: view_e774982825t_unit,I: view_e774982825t_unit] :
( ( vchop @ G @ H @ I )
& ( B @ D @ H )
& ( C @ D @ I ) ) ) )
= ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( vchop @ E @ F @ G )
& ? [H: view_e774982825t_unit,I: view_e774982825t_unit] :
( ( vchop @ F @ H @ I )
& ( A @ D @ H )
& ( B @ D @ I ) )
& ( C @ D @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_local_Ohmlsl_Ov__chop__assoc) ).
thf(334,plain,
! [A: traffic > view_e774982825t_unit > $o,B: traffic > view_e774982825t_unit > $o,C: traffic > view_e774982825t_unit > $o,D: traffic,E: view_e774982825t_unit] :
( ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( vchop @ E @ F @ G )
& ( A @ D @ F )
& ? [H: view_e774982825t_unit,I: view_e774982825t_unit] :
( ( vchop @ G @ H @ I )
& ( B @ D @ H )
& ( C @ D @ I ) ) ) )
= ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( vchop @ E @ F @ G )
& ? [H: view_e774982825t_unit,I: view_e774982825t_unit] :
( ( vchop @ F @ H @ I )
& ( A @ D @ H )
& ( B @ D @ I ) )
& ( C @ D @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(112,axiom,
! [A: real,B: real] :
( ( ord_less_real @ A @ ( plus_plus_real @ A @ B ) )
= ( ord_less_real @ zero_zero_real @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_223_less__add__same__cancel1) ).
thf(598,plain,
! [A: real,B: real] :
( ( ord_less_real @ A @ ( plus_plus_real @ A @ B ) )
= ( ord_less_real @ zero_zero_real @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(73,axiom,
! [A: nat] : ( ord_less_eq_nat @ zero_zero_nat @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_131_bot__nat__0_Oextremum) ).
thf(392,plain,
! [A: nat] : ( ord_less_eq_nat @ zero_zero_nat @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(78,axiom,
! [A: view_e774982825t_unit,B: traffic,C: cars] : ( ord_less_eq_nat_int @ ( restrict @ A @ ( clm @ B ) @ C ) @ ( clm @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_119_restriction_Orestrict__clm) ).
thf(407,plain,
! [A: view_e774982825t_unit,B: traffic,C: cars] : ( ord_less_eq_nat_int @ ( restrict @ A @ ( clm @ B ) @ C ) @ ( clm @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(37,axiom,
~ ! [A: cars] :
~ ( withdraw_claim @ ts_a @ A @ ts ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062d_O_Ats_H_A_092_060_094bold_062_092_060midarrow_062wdc_I_Ad_A_J_A_092_060_094bold_062_092_060rightarrow_062_Ats_H_H_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062) ).
thf(275,plain,
~ ! [A: cars] :
~ ( withdraw_claim @ ts_a @ A @ ts ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(151,axiom,
! [A: traffic,B: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat )
& ! [C: cars] :
( ( ( real_length @ ( len @ regular_regular @ B @ A @ C ) )
= zero_zero_real )
| ( ( ( restrict @ B @ ( clm @ A ) @ C )
= bot_bot_nat_int )
& ( ( restrict @ B @ ( res @ A ) @ C )
= bot_bot_nat_int ) ) ) )
=> ? [C: view_e774982825t_unit,D: view_e774982825t_unit] :
( ( hchop @ B @ C @ D )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat )
& ! [E: cars] :
( ( ( real_length @ ( len @ regular_regular @ C @ A @ E ) )
= zero_zero_real )
| ( ( ( restrict @ C @ ( clm @ A ) @ E )
= bot_bot_nat_int )
& ( ( restrict @ C @ ( res @ A ) @ E )
= bot_bot_nat_int ) ) )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ! [E: cars] :
( ( ( real_length @ ( len @ regular_regular @ D @ A @ E ) )
= zero_zero_real )
| ( ( ( restrict @ D @ ( clm @ A ) @ E )
= bot_bot_nat_int )
& ( ( restrict @ D @ ( res @ A ) @ E )
= bot_bot_nat_int ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_local_Ohmlsl_Ofree__decompose) ).
thf(815,plain,
! [A: traffic,B: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat )
& ! [C: cars] :
( ( ( real_length @ ( len @ regular_regular @ B @ A @ C ) )
= zero_zero_real )
| ( ( ( restrict @ B @ ( clm @ A ) @ C )
= bot_bot_nat_int )
& ( ( restrict @ B @ ( res @ A ) @ C )
= bot_bot_nat_int ) ) ) )
=> ? [C: view_e774982825t_unit,D: view_e774982825t_unit] :
( ( hchop @ B @ C @ D )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat )
& ! [E: cars] :
( ( ( real_length @ ( len @ regular_regular @ C @ A @ E ) )
= zero_zero_real )
| ( ( ( restrict @ C @ ( clm @ A ) @ E )
= bot_bot_nat_int )
& ( ( restrict @ C @ ( res @ A ) @ E )
= bot_bot_nat_int ) ) )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ! [E: cars] :
( ( ( real_length @ ( len @ regular_regular @ D @ A @ E ) )
= zero_zero_real )
| ( ( ( restrict @ D @ ( clm @ A ) @ E )
= bot_bot_nat_int )
& ( ( restrict @ D @ ( res @ A ) @ E )
= bot_bot_nat_int ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(93,axiom,
! [A: real,B: real] :
( ( ord_less_real @ A @ ( plus_plus_real @ B @ A ) )
= ( ord_less_real @ zero_zero_real @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_225_less__add__same__cancel2) ).
thf(467,plain,
! [A: real,B: real] :
( ( ord_less_real @ A @ ( plus_plus_real @ B @ A ) )
= ( ord_less_real @ zero_zero_real @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(10,axiom,
! [A: traffic > view_e774982825t_unit > $o,B: traffic,C: view_e774982825t_unit] :
( ( A @ B @ C )
=> ? [D: view_e774982825t_unit] :
( ? [E: view_e774982825t_unit] : ( vchop @ C @ D @ E )
& ( A @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_local_Ohmlsl_Ov__chop__weaken1) ).
thf(197,plain,
! [A: traffic > view_e774982825t_unit > $o,B: traffic,C: view_e774982825t_unit] :
( ( A @ B @ C )
=> ? [D: view_e774982825t_unit] :
( ? [E: view_e774982825t_unit] : ( vchop @ C @ D @ E )
& ( A @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(119,axiom,
! [A: view_e774982825t_unit,B: traffic,C: cars,D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( ( ( len @ regular_regular @ A @ B @ C )
= ( ext_Product_unit @ A ) )
& ( hchop @ A @ D @ E ) )
=> ( ( len @ regular_regular @ D @ B @ C )
= ( ext_Product_unit @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_hmlsl_Olen__view__hchop__left) ).
thf(625,plain,
! [A: view_e774982825t_unit,B: traffic,C: cars,D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( ( ( len @ regular_regular @ A @ B @ C )
= ( ext_Product_unit @ A ) )
& ( hchop @ A @ D @ E ) )
=> ( ( len @ regular_regular @ D @ B @ C )
= ( ext_Product_unit @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(109,axiom,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( clm @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ B @ A )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( clm @ B ) @ A )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) )
=> ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( clm @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_local_Ohmlsl_Oclm__compose) ).
thf(583,plain,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( clm @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ B @ A )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( clm @ B ) @ A )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) )
=> ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( clm @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(20,axiom,
! [A: real,B: real,C: real] :
( ( ( plus_plus_real @ A @ B )
= ( plus_plus_real @ A @ C ) )
= ( B = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_177_add__left__cancel) ).
thf(224,plain,
! [A: real,B: real,C: real] :
( ( ( plus_plus_real @ A @ B )
= ( plus_plus_real @ A @ C ) )
= ( B = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(142,axiom,
! [A: traffic,B: cars,C: traffic,D: view_e774982825t_unit,E: cars] :
( ( ( withdraw_claim @ A @ B @ C )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ C @ E )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( res @ C ) @ E )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat ) )
=> ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ A @ E )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( res @ A ) @ E )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_70_hmlsl__regular_Obackwards__wdc__res__stab) ).
thf(742,plain,
! [A: traffic,B: cars,C: traffic,D: view_e774982825t_unit,E: cars] :
( ( ( withdraw_claim @ A @ B @ C )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ C @ E )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( res @ C ) @ E )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat ) )
=> ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ A @ E )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( res @ A ) @ E )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(161,axiom,
! [A: nat,B: traffic,C: view_e774982825t_unit] :
( ( ( nat_card @ ( lan_Product_unit @ C ) )
= A )
= ( ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= A )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_local_Ohmlsl_Owidth__hchop__stable) ).
thf(874,plain,
! [A: nat,B: view_e774982825t_unit] :
( ( ( nat_card @ ( lan_Product_unit @ B ) )
= A )
= ( ? [C: view_e774982825t_unit,D: view_e774982825t_unit] :
( ( hchop @ B @ C @ D )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= A )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(140,axiom,
! [A: traffic,B: view_e774982825t_unit] :
( ? [C: cars] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( len @ regular_regular @ B @ A @ C )
= ( ext_Product_unit @ B ) )
& ( ( restrict @ B @ ( clm @ A ) @ C )
= ( lan_Product_unit @ B ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat ) )
| ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( len @ regular_regular @ B @ A @ C )
= ( ext_Product_unit @ B ) )
& ( ( restrict @ B @ ( res @ A ) @ C )
= ( lan_Product_unit @ B ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat ) ) )
=> ( ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_local_Ohmlsl_Ocar__one__lane__non__empty) ).
thf(725,plain,
! [A: traffic,B: view_e774982825t_unit] :
( ? [C: cars] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( len @ regular_regular @ B @ A @ C )
= ( ext_Product_unit @ B ) )
& ( ( restrict @ B @ ( clm @ A ) @ C )
= ( lan_Product_unit @ B ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat ) )
| ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( len @ regular_regular @ B @ A @ C )
= ( ext_Product_unit @ B ) )
& ( ( restrict @ B @ ( res @ A ) @ C )
= ( lan_Product_unit @ B ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat ) ) )
=> ( ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(110,axiom,
! [A: traffic,B: view_e774982825t_unit] :
( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
= ( ? [C: view_e774982825t_unit,D: view_e774982825t_unit] :
( ( hchop @ B @ C @ D )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_46_local_Ohmlsl_Olength__dense) ).
thf(593,plain,
! [A: view_e774982825t_unit] :
( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ A ) ) )
= ( ? [B: view_e774982825t_unit,C: view_e774982825t_unit] :
( ( hchop @ A @ B @ C )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(98,axiom,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
~ ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( vchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( res @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( vchop @ E @ F @ G )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ F ) ) )
& ( ( len @ regular_regular @ F @ B @ A )
= ( ext_Product_unit @ F ) )
& ( ( restrict @ F @ ( res @ B ) @ A )
= ( lan_Product_unit @ F ) )
& ( ( nat_card @ ( lan_Product_unit @ F ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ G ) ) )
& ( ( len @ regular_regular @ G @ B @ A )
= ( ext_Product_unit @ G ) )
& ( ( restrict @ G @ ( res @ B ) @ A )
= ( lan_Product_unit @ G ) )
& ( ( nat_card @ ( lan_Product_unit @ G ) )
= one_one_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_local_Ohmlsl_Ores__at__most__two) ).
thf(488,plain,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
~ ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( vchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( res @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( vchop @ E @ F @ G )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ F ) ) )
& ( ( len @ regular_regular @ F @ B @ A )
= ( ext_Product_unit @ F ) )
& ( ( restrict @ F @ ( res @ B ) @ A )
= ( lan_Product_unit @ F ) )
& ( ( nat_card @ ( lan_Product_unit @ F ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ G ) ) )
& ( ( len @ regular_regular @ G @ B @ A )
= ( ext_Product_unit @ G ) )
& ( ( restrict @ G @ ( res @ B ) @ A )
= ( lan_Product_unit @ G ) )
& ( ( nat_card @ ( lan_Product_unit @ G ) )
= one_one_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(131,axiom,
! [A: view_e774982825t_unit,B: cars > nat_int,C: cars] :
( ( ( ( nat_card @ ( restrict @ A @ B @ C ) )
= ( nat_card @ ( lan_Product_unit @ A ) ) )
& ( ord_less_eq_nat_int @ ( restrict @ A @ B @ C ) @ ( lan_Product_unit @ A ) ) )
=> ( ( restrict @ A @ B @ C )
= ( lan_Product_unit @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_123_restriction_Orestrict__eq__lan__subs) ).
thf(669,plain,
! [A: view_e774982825t_unit,B: cars > nat_int,C: cars] :
( ( ( ( nat_card @ ( restrict @ A @ B @ C ) )
= ( nat_card @ ( lan_Product_unit @ A ) ) )
& ( ord_less_eq_nat_int @ ( restrict @ A @ B @ C ) @ ( lan_Product_unit @ A ) ) )
=> ( ( restrict @ A @ B @ C )
= ( lan_Product_unit @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(95,axiom,
! [A: real] :
( ( zero_zero_real = A )
= ( A = zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_78_zero__reorient) ).
thf(476,plain,
! [A: real] :
( ( zero_zero_real = A )
= ( A = zero_zero_real ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(123,axiom,
! [A: real] :
( ( ord_less_real @ ( plus_plus_real @ A @ A ) @ zero_zero_real )
= ( ord_less_real @ A @ zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_227_double__add__less__zero__iff__single__add__less__zero) ).
thf(642,plain,
! [A: real] :
( ( ord_less_real @ ( plus_plus_real @ A @ A ) @ zero_zero_real )
= ( ord_less_real @ A @ zero_zero_real ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(118,axiom,
! [A: view_e774982825t_unit,B: cars > nat_int,C: cars] :
( ( ( restrict @ A @ B @ C )
= ( lan_Product_unit @ A ) )
=> ( ( nat_card @ ( restrict @ A @ B @ C ) )
= ( nat_card @ ( lan_Product_unit @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_122_restriction_Orestriction__eq__view__card) ).
thf(622,plain,
! [A: view_e774982825t_unit,B: cars > nat_int,C: cars] :
( ( ( restrict @ A @ B @ C )
= ( lan_Product_unit @ A ) )
=> ( ( nat_card @ ( restrict @ A @ B @ C ) )
= ( nat_card @ ( lan_Product_unit @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(141,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: traffic,D: cars] :
( ( ( ( ext_Product_unit @ A )
= ( ext_Product_unit @ B ) )
& ( ( own_Product_unit @ A )
= ( own_Product_unit @ B ) ) )
=> ( ( len @ regular_regular @ A @ C @ D )
= ( len @ regular_regular @ B @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_110_hmlsl_Oext__eq__len__eq) ).
thf(738,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: traffic,D: cars] :
( ( ( ( ext_Product_unit @ A )
= ( ext_Product_unit @ B ) )
& ( ( own_Product_unit @ A )
= ( own_Product_unit @ B ) ) )
=> ( ( len @ regular_regular @ A @ C @ D )
= ( len @ regular_regular @ B @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(3,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit] :
( ( hchop @ A @ B @ C )
=> ( ord_le461438217t_unit @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_view_Ohorizontal__chop__leq1) ).
thf(173,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit] :
( ( hchop @ A @ B @ C )
=> ( ord_le461438217t_unit @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(168,axiom,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
=> ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_local_Ohmlsl_Ores__ge__zero) ).
thf(911,plain,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
=> ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(56,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: cars > nat_int,E: cars] :
( ( hchop @ A @ B @ C )
=> ( ( restrict @ A @ D @ E )
= ( restrict @ B @ D @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_117_restriction_Orestriction__stable1) ).
thf(343,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: cars > nat_int,E: cars] :
( ( hchop @ A @ B @ C )
=> ( ( restrict @ A @ D @ E )
= ( restrict @ B @ D @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(62,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: cars > nat_int,E: cars] :
( ( vchop @ A @ B @ C )
=> ( ord_less_eq_nat_int @ ( restrict @ B @ D @ E ) @ ( restrict @ A @ D @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_121_restriction_Orestriction__mon1) ).
thf(360,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: cars > nat_int,E: cars] :
( ( vchop @ A @ B @ C )
=> ( ord_less_eq_nat_int @ ( restrict @ B @ D @ E ) @ ( restrict @ A @ D @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(13,axiom,
! [A: nat,B: nat,C: nat] :
( ( ord_less_eq_nat @ A @ B )
=> ( ( ord_less_eq_nat @ B @ C )
=> ( ord_less_eq_nat @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_161_le__trans) ).
thf(205,plain,
! [A: nat,B: nat,C: nat] :
( ( ord_less_eq_nat @ A @ B )
=> ( ( ord_less_eq_nat @ B @ C )
=> ( ord_less_eq_nat @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(45,axiom,
! [A: real,B: real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ord_less_real @ ( plus_plus_real @ C @ A ) @ ( plus_plus_real @ C @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_267_add__strict__left__mono) ).
thf(311,plain,
! [A: real,B: real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ord_less_real @ ( plus_plus_real @ C @ A ) @ ( plus_plus_real @ C @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(75,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: cars > nat_int,E: cars] :
( ( vchop @ A @ B @ C )
=> ( ord_less_eq_nat @ ( nat_card @ ( restrict @ B @ D @ E ) ) @ ( nat_card @ ( restrict @ A @ D @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_124_restriction_Orestriction__card__mon1) ).
thf(398,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: cars > nat_int,E: cars] :
( ( vchop @ A @ B @ C )
=> ( ord_less_eq_nat @ ( nat_card @ ( restrict @ B @ D @ E ) ) @ ( nat_card @ ( restrict @ A @ D @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(138,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: traffic,E: cars] :
( ( vchop @ A @ B @ C )
=> ( ( len @ regular_regular @ A @ D @ E )
= ( len @ regular_regular @ C @ D @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_hmlsl_Olen__stable__up) ).
thf(718,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: traffic,E: cars] :
( ( vchop @ A @ B @ C )
=> ( ( len @ regular_regular @ A @ D @ E )
= ( len @ regular_regular @ C @ D @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(84,axiom,
! [A: real,B: real] :
( ( ( plus_plus_real @ A @ B )
= A )
= ( B = zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_193_add__cancel__left__right) ).
thf(425,plain,
! [A: real,B: real] :
( ( ( plus_plus_real @ A @ B )
= A )
= ( B = zero_zero_real ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(86,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: cars > nat_int,E: cars] :
( ( vchop @ A @ B @ C )
=> ( ord_less_eq_nat_int @ ( restrict @ C @ D @ E ) @ ( restrict @ A @ D @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_120_restriction_Orestriction__mon2) ).
thf(430,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: cars > nat_int,E: cars] :
( ( vchop @ A @ B @ C )
=> ( ord_less_eq_nat_int @ ( restrict @ C @ D @ E ) @ ( restrict @ A @ D @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(157,axiom,
! [A: real,B: real] :
( ( ord_less_real @ ( plus_plus_real @ A @ B ) @ B )
= ( ord_less_real @ A @ zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_221_add__less__same__cancel2) ).
thf(856,plain,
! [A: real,B: real] :
( ( ord_less_real @ ( plus_plus_real @ A @ B ) @ B )
= ( ord_less_real @ A @ zero_zero_real ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(38,axiom,
! [A: real,B: real,C: real] :
( ( ord_less_real @ ( plus_plus_real @ A @ B ) @ ( plus_plus_real @ A @ C ) )
=> ( ord_less_real @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_263_add__less__imp__less__left) ).
thf(279,plain,
! [A: real,B: real,C: real] :
( ( ord_less_real @ ( plus_plus_real @ A @ B ) @ ( plus_plus_real @ A @ C ) )
=> ( ord_less_real @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(134,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: view_e774982825t_unit,E: view_e774982825t_unit,F: cars > nat_int,G: cars] :
( ( ( vchop @ A @ B @ C )
& ( vchop @ C @ D @ E )
& ( ( nat_card @ ( restrict @ D @ F @ G ) )
= one_one_nat ) )
=> ( ord_less_eq_nat @ one_one_nat @ ( nat_card @ ( restrict @ A @ F @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_127_restriction_Orestriction__card__mon__trans) ).
thf(689,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: view_e774982825t_unit,E: view_e774982825t_unit,F: cars > nat_int,G: cars] :
( ( ( vchop @ A @ B @ C )
& ( vchop @ C @ D @ E )
& ( ( nat_card @ ( restrict @ D @ F @ G ) )
= one_one_nat ) )
=> ( ord_less_eq_nat @ one_one_nat @ ( nat_card @ ( restrict @ A @ F @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(90,axiom,
! [A: traffic,B: cars] : ( ord_less_eq_nat @ one_one_nat @ ( nat_card @ ( res @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_174_traffic_OatLeastOneRes) ).
thf(444,plain,
! [A: traffic,B: cars] : ( ord_less_eq_nat @ one_one_nat @ ( nat_card @ ( res @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(113,axiom,
! [A: traffic,B: cars,C: nat,D: traffic,E: view_e774982825t_unit,F: cars] :
( ( ( create_claim @ A @ B @ C @ D )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ D @ F )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ D ) @ F )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) )
=> ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ A @ F )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ A ) @ F )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_74_hmlsl__regular_Obackwards__c__res__stab) ).
thf(601,plain,
! [A: traffic,B: cars,C: nat,D: traffic,E: view_e774982825t_unit,F: cars] :
( ( ( create_claim @ A @ B @ C @ D )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ D @ F )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ D ) @ F )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) )
=> ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ A @ F )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ A ) @ F )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(4,axiom,
! [A: nat] : ( ord_less_eq_nat @ zero_zero_nat @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_130_le0) ).
thf(176,plain,
! [A: nat] : ( ord_less_eq_nat @ zero_zero_nat @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(9,axiom,
! [A: traffic > view_e774982825t_unit > $o,B: traffic,C: view_e774982825t_unit] :
( ~ ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ( A @ B @ E ) )
=> ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ~ ( A @ B @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_local_Ohmlsl_Ohchop__neg2) ).
thf(191,plain,
! [A: traffic > view_e774982825t_unit > $o,B: traffic,C: view_e774982825t_unit] :
( ~ ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ( A @ B @ E ) )
=> ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ~ ( A @ B @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(41,axiom,
! [A: nat,B: nat] :
( ( A = B )
=> ( ord_less_eq_nat @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_160_eq__imp__le) ).
thf(286,plain,
! [A: nat,B: nat] :
( ( A = B )
=> ( ord_less_eq_nat @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(39,axiom,
! [A: real,B: real,C: real] :
( ( ( plus_plus_real @ A @ B )
= ( plus_plus_real @ C @ B ) )
= ( A = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_179_add__right__cancel) ).
thf(281,plain,
! [A: real,B: real,C: real] :
( ( ( plus_plus_real @ A @ B )
= ( plus_plus_real @ C @ B ) )
= ( A = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(114,axiom,
! [A: traffic,B: view_e774982825t_unit] :
( ? [C: view_e774982825t_unit,D: view_e774982825t_unit] :
( ( hchop @ B @ C @ D )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) ) )
=> ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_local_Ohmlsl_Olength__meld) ).
thf(611,plain,
! [A: view_e774982825t_unit] :
( ? [B: view_e774982825t_unit,C: view_e774982825t_unit] :
( ( hchop @ A @ B @ C )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) ) )
=> ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(24,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit] :
( ( vchop @ A @ B @ C )
=> ( ord_le461438217t_unit @ C @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_99_view_Overtical__chop__leq2) ).
thf(236,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit] :
( ( vchop @ A @ B @ C )
=> ( ord_le461438217t_unit @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(104,axiom,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( clm @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
=> ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_local_Ohmlsl_Oclm__ge__zero) ).
thf(540,plain,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( clm @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
=> ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(132,axiom,
! [A: traffic,B: view_e774982825t_unit] :
( ( ( nat_card @ ( lan_Product_unit @ B ) )
!= one_one_nat )
=> ~ ? [C: cars] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( len @ regular_regular @ B @ A @ C )
= ( ext_Product_unit @ B ) )
& ( ( restrict @ B @ ( clm @ A ) @ C )
= ( lan_Product_unit @ B ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat ) )
| ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( len @ regular_regular @ B @ A @ C )
= ( ext_Product_unit @ B ) )
& ( ( restrict @ B @ ( res @ A ) @ C )
= ( lan_Product_unit @ B ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_local_Ohmlsl_Otwo__lanes__no__car) ).
thf(672,plain,
! [A: traffic,B: view_e774982825t_unit] :
( ( ( nat_card @ ( lan_Product_unit @ B ) )
!= one_one_nat )
=> ~ ? [C: cars] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( len @ regular_regular @ B @ A @ C )
= ( ext_Product_unit @ B ) )
& ( ( restrict @ B @ ( clm @ A ) @ C )
= ( lan_Product_unit @ B ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat ) )
| ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( len @ regular_regular @ B @ A @ C )
= ( ext_Product_unit @ B ) )
& ( ( restrict @ B @ ( res @ A ) @ C )
= ( lan_Product_unit @ B ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(8,axiom,
! [A: real,B: real,C: real,D: real] :
( ( ( A = B )
& ( ord_less_real @ C @ D ) )
=> ( ord_less_real @ ( plus_plus_real @ A @ C ) @ ( plus_plus_real @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_273_add__mono__thms__linordered__field_I2_J) ).
thf(187,plain,
! [A: real,B: real,C: real,D: real] :
( ( ( A = B )
& ( ord_less_real @ C @ D ) )
=> ( ord_less_real @ ( plus_plus_real @ A @ C ) @ ( plus_plus_real @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,conjecture,
thesis,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(2,negated_conjecture,
~ thesis,
inference(neg_conjecture,[status(cth)],[1]) ).
thf(172,plain,
~ thesis,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(149,axiom,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
| ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( clm @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ) )
=> ! [D: traffic] :
( ( create_reservation @ B @ A @ D )
=> ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ D @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ D ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_108_hmlsl__regular_Oreservation1) ).
thf(784,plain,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
| ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( clm @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ) )
=> ! [D: traffic] :
( ( create_reservation @ B @ A @ D )
=> ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ D @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ D ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(68,axiom,
! [A: nat] : ( ord_less_eq_nat @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_162_le__refl) ).
thf(377,plain,
! [A: nat] : ( ord_less_eq_nat @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(22,axiom,
! [A: real] :
( ( plus_plus_real @ zero_zero_real @ A )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_185_add_Oleft__neutral) ).
thf(230,plain,
! [A: real] :
( ( plus_plus_real @ zero_zero_real @ A )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(116,axiom,
! [A: traffic,B: view_e774982825t_unit] :
( ( ( real_length @ ( ext_Product_unit @ B ) )
= zero_zero_real )
| ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_local_Ohmlsl_Olength__geq__zero) ).
thf(616,plain,
! [A: view_e774982825t_unit] :
( ( ( real_length @ ( ext_Product_unit @ A ) )
= zero_zero_real )
| ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(35,axiom,
! [A: view_e774982825t_unit] :
? [B: view_e774982825t_unit] : ( hchop @ A @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_view_Ohorizontal__chop__empty__right) ).
thf(271,plain,
! [A: view_e774982825t_unit] :
? [B: view_e774982825t_unit] : ( hchop @ A @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(14,axiom,
! [A: real] :
( ( ( plus_plus_real @ A @ A )
= zero_zero_real )
= ( A = zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_189_double__zero) ).
thf(208,plain,
! [A: real] :
( ( ( plus_plus_real @ A @ A )
= zero_zero_real )
= ( A = zero_zero_real ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(71,axiom,
! [A: traffic > view_e774982825t_unit > $o,B: traffic > view_e774982825t_unit > $o,C: traffic > view_e774982825t_unit > $o,D: traffic,E: view_e774982825t_unit] :
( ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( vchop @ E @ F @ G )
& ( A @ D @ F )
& ( ( B @ D @ G )
| ( C @ D @ G ) ) ) )
= ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( vchop @ E @ F @ G )
& ( A @ D @ F )
& ( B @ D @ G ) )
| ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( vchop @ E @ F @ G )
& ( A @ D @ F )
& ( C @ D @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_local_Ohmlsl_Ovchop__disj__distr1) ).
thf(387,plain,
! [A: traffic > view_e774982825t_unit > $o,B: traffic > view_e774982825t_unit > $o,C: traffic > view_e774982825t_unit > $o,D: traffic,E: view_e774982825t_unit] :
( ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( vchop @ E @ F @ G )
& ( A @ D @ F )
& ( ( B @ D @ G )
| ( C @ D @ G ) ) ) )
= ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( vchop @ E @ F @ G )
& ( A @ D @ F )
& ( B @ D @ G ) )
| ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( vchop @ E @ F @ G )
& ( A @ D @ F )
& ( C @ D @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(16,axiom,
! [A: nat] : ( ord_less_eq_nat @ zero_zero_nat @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_168_less__eq__nat_Osimps_I1_J) ).
thf(213,plain,
! [A: nat] : ( ord_less_eq_nat @ zero_zero_nat @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(26,axiom,
! [A: traffic > view_e774982825t_unit > $o,B: traffic > view_e774982825t_unit > $o,C: traffic > view_e774982825t_unit > $o,D: traffic,E: view_e774982825t_unit] :
( ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( hchop @ E @ F @ G )
& ( ( A @ D @ F )
| ( B @ D @ F ) )
& ( C @ D @ G ) ) )
= ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( hchop @ E @ F @ G )
& ( A @ D @ F )
& ( C @ D @ G ) )
| ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( hchop @ E @ F @ G )
& ( B @ D @ F )
& ( C @ D @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_local_Ohmlsl_Ohchop__disj__distr2) ).
thf(240,plain,
! [A: traffic > view_e774982825t_unit > $o,B: traffic > view_e774982825t_unit > $o,C: traffic > view_e774982825t_unit > $o,D: traffic,E: view_e774982825t_unit] :
( ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( hchop @ E @ F @ G )
& ( ( A @ D @ F )
| ( B @ D @ F ) )
& ( C @ D @ G ) ) )
= ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( hchop @ E @ F @ G )
& ( A @ D @ F )
& ( C @ D @ G ) )
| ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( hchop @ E @ F @ G )
& ( B @ D @ F )
& ( C @ D @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(51,axiom,
! [A: view_e774982825t_unit] :
? [B: view_e774982825t_unit] : ( vchop @ A @ B @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_view_Overtical__chop__empty__up) ).
thf(330,plain,
! [A: view_e774982825t_unit] :
? [B: view_e774982825t_unit] : ( vchop @ A @ B @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(148,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: traffic,E: cars] :
( ( vchop @ A @ B @ C )
=> ( ( len @ regular_regular @ A @ D @ E )
= ( len @ regular_regular @ B @ D @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_hmlsl_Olen__stable__down) ).
thf(780,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: traffic,E: cars] :
( ( vchop @ A @ B @ C )
=> ( ( len @ regular_regular @ A @ D @ E )
= ( len @ regular_regular @ B @ D @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(74,axiom,
! [A: real,B: real,C: real,D: real] :
( ( ( ord_less_real @ A @ B )
& ( C = D ) )
=> ( ord_less_real @ ( plus_plus_real @ A @ C ) @ ( plus_plus_real @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_271_add__mono__thms__linordered__field_I1_J) ).
thf(394,plain,
! [A: real,B: real,C: real,D: real] :
( ( ( ord_less_real @ A @ B )
& ( C = D ) )
=> ( ord_less_real @ ( plus_plus_real @ A @ C ) @ ( plus_plus_real @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(89,axiom,
! [A: traffic,B: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat )
& ! [C: cars] :
( ( ( real_length @ ( len @ regular_regular @ B @ A @ C ) )
= zero_zero_real )
| ( ( ( restrict @ B @ ( clm @ A ) @ C )
= bot_bot_nat_int )
& ( ( restrict @ B @ ( res @ A ) @ C )
= bot_bot_nat_int ) ) ) )
=> ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_local_Ohmlsl_Owidth__free) ).
thf(438,plain,
! [A: traffic,B: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat )
& ! [C: cars] :
( ( ( real_length @ ( len @ regular_regular @ B @ A @ C ) )
= zero_zero_real )
| ( ( ( restrict @ B @ ( clm @ A ) @ C )
= bot_bot_nat_int )
& ( ( restrict @ B @ ( res @ A ) @ C )
= bot_bot_nat_int ) ) ) )
=> ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(126,axiom,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( clm @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
=> ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_51_local_Ohmlsl_Owidth__clm) ).
thf(653,plain,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( clm @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
=> ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(171,axiom,
! [A: view_e774982825t_unit] :
( ( ( ord_le461438217t_unit @ A @ ( move @ ts3 @ ts @ v ) )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ A ) ) )
& ( ( len @ regular_regular @ A @ ts @ c )
= ( ext_Product_unit @ A ) )
& ( ( restrict @ A @ ( res @ ts ) @ c )
= ( lan_Product_unit @ A ) )
& ( ( nat_card @ ( lan_Product_unit @ A ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ A ) ) )
& ( ( len @ regular_regular @ A @ ts @ e )
= ( ext_Product_unit @ A ) )
& ( ( restrict @ A @ ( res @ ts ) @ e )
= ( lan_Product_unit @ A ) )
& ( ( nat_card @ ( lan_Product_unit @ A ) )
= one_one_nat ) )
=> thesis ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(922,plain,
! [A: view_e774982825t_unit] :
( ( ( ord_le461438217t_unit @ A @ ( move @ ts3 @ ts @ v ) )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ A ) ) )
& ( ( len @ regular_regular @ A @ ts @ c )
= ( ext_Product_unit @ A ) )
& ( ( restrict @ A @ ( res @ ts ) @ c )
= ( lan_Product_unit @ A ) )
& ( ( nat_card @ ( lan_Product_unit @ A ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ A ) ) )
& ( ( len @ regular_regular @ A @ ts @ e )
= ( ext_Product_unit @ A ) )
& ( ( restrict @ A @ ( res @ ts ) @ e )
= ( lan_Product_unit @ A ) )
& ( ( nat_card @ ( lan_Product_unit @ A ) )
= one_one_nat ) )
=> thesis ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(139,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: traffic,E: cars] :
( ( ( hchop @ A @ B @ C )
& ( ( len @ regular_regular @ B @ D @ E )
= ( ext_Product_unit @ B ) )
& ( ( len @ regular_regular @ C @ D @ E )
= ( ext_Product_unit @ C ) ) )
=> ( ( len @ regular_regular @ A @ D @ E )
= ( ext_Product_unit @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_42_hmlsl_Olen__compose__hchop) ).
thf(722,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: traffic,E: cars] :
( ( ( hchop @ A @ B @ C )
& ( ( len @ regular_regular @ B @ D @ E )
= ( ext_Product_unit @ B ) )
& ( ( len @ regular_regular @ C @ D @ E )
= ( ext_Product_unit @ C ) ) )
=> ( ( len @ regular_regular @ A @ D @ E )
= ( ext_Product_unit @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(133,axiom,
! [A: view_e774982825t_unit,B: traffic,C: cars] :
( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ A @ B @ C ) ) )
=> ? [D: view_e774982825t_unit,E: view_e774982825t_unit,F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( hchop @ A @ D @ E )
& ( hchop @ E @ G @ F )
& ( ( len @ regular_regular @ G @ B @ C )
= ( ext_Product_unit @ G ) )
& ( ( real_length @ ( len @ regular_regular @ G @ B @ C ) )
= ( real_length @ ( len @ regular_regular @ A @ B @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_hmlsl_Olen__fills__subview) ).
thf(680,plain,
! [A: view_e774982825t_unit,B: traffic,C: cars] :
( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ A @ B @ C ) ) )
=> ? [D: view_e774982825t_unit,E: view_e774982825t_unit,F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( hchop @ A @ D @ E )
& ( hchop @ E @ G @ F )
& ( ( len @ regular_regular @ G @ B @ C )
= ( ext_Product_unit @ G ) )
& ( ( real_length @ ( len @ regular_regular @ G @ B @ C ) )
= ( real_length @ ( len @ regular_regular @ A @ B @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(125,axiom,
! [A: view_e774982825t_unit] :
( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ A ) ) )
=> ? [B: view_e774982825t_unit,C: view_e774982825t_unit] :
( ( hchop @ A @ B @ C )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71_view_Ohorizontal__chop__non__empty) ).
thf(648,plain,
! [A: view_e774982825t_unit] :
( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ A ) ) )
=> ? [B: view_e774982825t_unit,C: view_e774982825t_unit] :
( ( hchop @ A @ B @ C )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(60,axiom,
! [A: nat,B: nat] :
( ( ord_less_eq_nat @ A @ B )
| ( ord_less_eq_nat @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_157_nat__le__linear) ).
thf(355,plain,
! [A: nat,B: nat] :
( ( ord_less_eq_nat @ A @ B )
| ( ord_less_eq_nat @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(106,axiom,
! [A: cars,B: traffic,C: cars] : ( ord_less_real @ zero_zero_real @ ( regular_regular @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_local_Ohmlsl_Osensors__ge) ).
thf(553,plain,
! [A: cars,B: traffic,C: cars] : ( ord_less_real @ zero_zero_real @ ( regular_regular @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(163,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit] :
( ( hchop @ A @ B @ C )
=> ( ( ( nat_card @ ( lan_Product_unit @ A ) )
= ( nat_card @ ( lan_Product_unit @ B ) ) )
& ( ( nat_card @ ( lan_Product_unit @ A ) )
= ( nat_card @ ( lan_Product_unit @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_101_view_Ohorizontal__chop__width__stable) ).
thf(887,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit] :
( ( hchop @ A @ B @ C )
=> ( ( ( nat_card @ ( lan_Product_unit @ A ) )
= ( nat_card @ ( lan_Product_unit @ B ) ) )
& ( ( nat_card @ ( lan_Product_unit @ A ) )
= ( nat_card @ ( lan_Product_unit @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(50,axiom,
! [A: traffic > view_e774982825t_unit > $o,B: traffic > view_e774982825t_unit > $o,C: traffic > view_e774982825t_unit > $o,D: traffic,E: view_e774982825t_unit] :
( ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( hchop @ E @ F @ G )
& ( A @ D @ F )
& ( ( B @ D @ G )
| ( C @ D @ G ) ) ) )
= ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( hchop @ E @ F @ G )
& ( A @ D @ F )
& ( B @ D @ G ) )
| ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( hchop @ E @ F @ G )
& ( A @ D @ F )
& ( C @ D @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_local_Ohmlsl_Ohchop__disj__distr1) ).
thf(327,plain,
! [A: traffic > view_e774982825t_unit > $o,B: traffic > view_e774982825t_unit > $o,C: traffic > view_e774982825t_unit > $o,D: traffic,E: view_e774982825t_unit] :
( ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( hchop @ E @ F @ G )
& ( A @ D @ F )
& ( ( B @ D @ G )
| ( C @ D @ G ) ) ) )
= ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( hchop @ E @ F @ G )
& ( A @ D @ F )
& ( B @ D @ G ) )
| ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( hchop @ E @ F @ G )
& ( A @ D @ F )
& ( C @ D @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(79,axiom,
! [A: view_e774982825t_unit,B: cars > nat_int,C: cars] : ( ord_less_eq_nat_int @ ( restrict @ A @ B @ C ) @ ( B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_113_restriction_Orestrict__subseteq) ).
thf(409,plain,
! [A: view_e774982825t_unit,B: cars > nat_int,C: cars] : ( ord_less_eq_nat_int @ ( restrict @ A @ B @ C ) @ ( B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(6,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit] :
( ( vchop @ A @ B @ C )
=> ( ( own_Product_unit @ B )
= ( own_Product_unit @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_112_view_Overtical__chop__own__trans) ).
thf(182,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit] :
( ( vchop @ A @ B @ C )
=> ( ( own_Product_unit @ B )
= ( own_Product_unit @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(66,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: cars > nat_int,E: cars] :
( ( vchop @ A @ B @ C )
=> ( ord_less_eq_nat @ ( nat_card @ ( restrict @ C @ D @ E ) ) @ ( nat_card @ ( restrict @ A @ D @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_125_restriction_Orestriction__card__mon2) ).
thf(370,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: cars > nat_int,E: cars] :
( ( vchop @ A @ B @ C )
=> ( ord_less_eq_nat @ ( nat_card @ ( restrict @ C @ D @ E ) ) @ ( nat_card @ ( restrict @ A @ D @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(94,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit] :
( ( vchop @ A @ B @ C )
=> ( ( ( real_length @ ( ext_Product_unit @ A ) )
= ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( real_length @ ( ext_Product_unit @ A ) )
= ( real_length @ ( ext_Product_unit @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_102_view_Overtical__chop__length__stable) ).
thf(470,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit] :
( ( vchop @ A @ B @ C )
=> ( ( ( real_length @ ( ext_Product_unit @ A ) )
= ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( real_length @ ( ext_Product_unit @ A ) )
= ( real_length @ ( ext_Product_unit @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(127,axiom,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
~ ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( clm @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( hchop @ E @ F @ G )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ G ) ) )
& ( ( len @ regular_regular @ G @ B @ A )
= ( ext_Product_unit @ G ) )
& ( ( restrict @ G @ ( res @ B ) @ A )
= ( lan_Product_unit @ G ) )
& ( ( nat_card @ ( lan_Product_unit @ G ) )
= one_one_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_local_Ohmlsl_Ono__clm__before__res2) ).
thf(656,plain,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
~ ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( hchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( clm @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( hchop @ E @ F @ G )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ G ) ) )
& ( ( len @ regular_regular @ G @ B @ A )
= ( ext_Product_unit @ G ) )
& ( ( restrict @ G @ ( res @ B ) @ A )
= ( lan_Product_unit @ G ) )
& ( ( nat_card @ ( lan_Product_unit @ G ) )
= one_one_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(115,axiom,
c != e,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_neg) ).
thf(613,plain,
c != e,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(46,axiom,
! [A: traffic > view_e774982825t_unit > $o,B: traffic,C: view_e774982825t_unit] :
( ~ ? [D: view_e774982825t_unit] :
( ? [E: view_e774982825t_unit] : ( hchop @ C @ D @ E )
& ( A @ B @ D ) )
=> ? [D: view_e774982825t_unit] :
( ? [E: view_e774982825t_unit] : ( hchop @ C @ D @ E )
& ~ ( A @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_local_Ohmlsl_Ohchop__neg1) ).
thf(314,plain,
! [A: traffic > view_e774982825t_unit > $o,B: traffic,C: view_e774982825t_unit] :
( ~ ? [D: view_e774982825t_unit] :
( ? [E: view_e774982825t_unit] : ( hchop @ C @ D @ E )
& ( A @ B @ D ) )
=> ? [D: view_e774982825t_unit] :
( ? [E: view_e774982825t_unit] : ( hchop @ C @ D @ E )
& ~ ( A @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(91,axiom,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ! [D: traffic] :
( ( create_reservation @ B @ A @ D )
=> ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ D @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ D ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ) )
=> ( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
| ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( clm @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_107_hmlsl__regular_Oreservation2) ).
thf(446,plain,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ! [D: traffic] :
( ( create_reservation @ B @ A @ D )
=> ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ D @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ D ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ) )
=> ( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
| ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( clm @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(158,axiom,
( ( move @ ts3 @ ts_a @ v )
= ( move @ ts3 @ ts @ v ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_move__stab) ).
thf(859,plain,
( ( move @ ts3 @ ts_a @ v )
= ( move @ ts3 @ ts @ v ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(154,axiom,
! [A: traffic > view_e774982825t_unit > $o,B: traffic,C: view_e774982825t_unit] :
( ! [D: traffic] :
( ( abstract @ B @ D )
=> ( A @ D @ ( move @ B @ D @ C ) ) )
=> ! [D: traffic] :
( ( abstract @ B @ D )
=> ! [E: traffic] :
( ( abstract @ D @ E )
=> ( A @ E @ ( move @ D @ E @ ( move @ B @ D @ C ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_local_Ohmlsl_Oglobally__4) ).
thf(845,plain,
! [A: traffic > view_e774982825t_unit > $o,B: traffic,C: view_e774982825t_unit] :
( ! [D: traffic] :
( ( abstract @ B @ D )
=> ( A @ D @ ( move @ B @ D @ C ) ) )
=> ! [D: traffic] :
( ( abstract @ B @ D )
=> ! [E: traffic] :
( ( abstract @ D @ E )
=> ( A @ E @ ( move @ D @ E @ ( move @ B @ D @ C ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(92,axiom,
! [A: view_e774982825t_unit,B: traffic,C: cars] : ( ord_less_eq_real_int @ ( len @ regular_regular @ A @ B @ C ) @ ( ext_Product_unit @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76_hmlsl_Olen__sub__int) ).
thf(465,plain,
! [A: view_e774982825t_unit,B: traffic,C: cars] : ( ord_less_eq_real_int @ ( len @ regular_regular @ A @ B @ C ) @ ( ext_Product_unit @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(63,axiom,
! [A: real] :
( ( zero_zero_real
= ( plus_plus_real @ A @ A ) )
= ( A = zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_190_double__zero__sym) ).
thf(363,plain,
! [A: real] :
( ( zero_zero_real
= ( plus_plus_real @ A @ A ) )
= ( A = zero_zero_real ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(102,axiom,
? [A: view_e774982825t_unit] :
( ( ord_le461438217t_unit @ A @ ( move @ ts3 @ ts @ v ) )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ A ) ) )
& ( ( len @ regular_regular @ A @ ts @ c )
= ( ext_Product_unit @ A ) )
& ( ( restrict @ A @ ( res @ ts ) @ c )
= ( lan_Product_unit @ A ) )
& ( ( nat_card @ ( lan_Product_unit @ A ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ A ) ) )
& ( ( len @ regular_regular @ A @ ts @ e )
= ( ext_Product_unit @ A ) )
& ( ( restrict @ A @ ( res @ ts ) @ e )
= ( lan_Product_unit @ A ) )
& ( ( nat_card @ ( lan_Product_unit @ A ) )
= one_one_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4__092_060open_062_092_060exists_062v_H_092_060le_062move_Ats_Ats_H_H_Av_O_A_I0_A_060_A_092_060parallel_062ext_Av_H_092_060parallel_062_A_092_060and_062_Alen_Av_H_Ats_H_H_Ac_A_061_Aext_Av_H_A_092_060and_062_Arestrict_Av_H_A_Ires_Ats_H_H_J_Ac_A_061_Alan_Av_H_A_092_060and_062_A_124lan_Av_H_124_A_061_A1_J_A_092_060and_062_A0_A_060_A_092_060parallel_062ext_Av_H_092_060parallel_062_A_092_060and_062_Alen_Av_H_Ats_H_H_Ae_A_061_Aext_Av_H_A_092_060and_062_Arestrict_Av_H_A_Ires_Ats_H_H_J_Ae_A_061_Alan_Av_H_A_092_060and_062_A_124lan_Av_H_124_A_061_A1_092_060close_062) ).
thf(524,plain,
? [A: view_e774982825t_unit] :
( ( ord_le461438217t_unit @ A @ ( move @ ts3 @ ts @ v ) )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ A ) ) )
& ( ( len @ regular_regular @ A @ ts @ c )
= ( ext_Product_unit @ A ) )
& ( ( restrict @ A @ ( res @ ts ) @ c )
= ( lan_Product_unit @ A ) )
& ( ( nat_card @ ( lan_Product_unit @ A ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ A ) ) )
& ( ( len @ regular_regular @ A @ ts @ e )
= ( ext_Product_unit @ A ) )
& ( ( restrict @ A @ ( res @ ts ) @ e )
= ( lan_Product_unit @ A ) )
& ( ( nat_card @ ( lan_Product_unit @ A ) )
= one_one_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(18,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit] :
( ( vchop @ A @ B @ C )
=> ( ord_le461438217t_unit @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_100_view_Overtical__chop__leq1) ).
thf(218,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit] :
( ( vchop @ A @ B @ C )
=> ( ord_le461438217t_unit @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(65,axiom,
! [A: real,B: real,C: real,D: real] :
( ( ( ord_less_real @ A @ B )
& ( ord_less_real @ C @ D ) )
=> ( ord_less_real @ ( plus_plus_real @ A @ C ) @ ( plus_plus_real @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_275_add__mono__thms__linordered__field_I5_J) ).
thf(368,plain,
! [A: real,B: real,C: real,D: real] :
( ( ( ord_less_real @ A @ B )
& ( ord_less_real @ C @ D ) )
=> ( ord_less_real @ ( plus_plus_real @ A @ C ) @ ( plus_plus_real @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(145,axiom,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
=> ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_local_Ohmlsl_Owidth__res) ).
thf(771,plain,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ A )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ B ) @ A )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
=> ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(97,axiom,
! [A: traffic,B: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat )
& ! [C: cars] :
( ( ( real_length @ ( len @ regular_regular @ B @ A @ C ) )
= zero_zero_real )
| ( ( ( restrict @ B @ ( clm @ A ) @ C )
= bot_bot_nat_int )
& ( ( restrict @ B @ ( res @ A ) @ C )
= bot_bot_nat_int ) ) ) )
=> ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_68_local_Ohmlsl_Ofree__ge__zero) ).
thf(482,plain,
! [A: traffic,B: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat )
& ! [C: cars] :
( ( ( real_length @ ( len @ regular_regular @ B @ A @ C ) )
= zero_zero_real )
| ( ( ( restrict @ B @ ( clm @ A ) @ C )
= bot_bot_nat_int )
& ( ( restrict @ B @ ( res @ A ) @ C )
= bot_bot_nat_int ) ) ) )
=> ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(12,axiom,
! [A: view_e774982825t_unit] :
? [B: view_e774982825t_unit] : ( hchop @ A @ B @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_85_view_Ohorizontal__chop__empty__left) ).
thf(203,plain,
! [A: view_e774982825t_unit] :
? [B: view_e774982825t_unit] : ( hchop @ A @ B @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(165,axiom,
! [A: view_e774982825t_unit,B: traffic,C: cars,D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( ( ( len @ regular_regular @ A @ B @ C )
= ( ext_Product_unit @ A ) )
& ( hchop @ A @ D @ E ) )
=> ( ( len @ regular_regular @ E @ B @ C )
= ( ext_Product_unit @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_40_hmlsl_Olen__view__hchop__right) ).
thf(896,plain,
! [A: view_e774982825t_unit,B: traffic,C: cars,D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( ( ( len @ regular_regular @ A @ B @ C )
= ( ext_Product_unit @ A ) )
& ( hchop @ A @ D @ E ) )
=> ( ( len @ regular_regular @ E @ B @ C )
= ( ext_Product_unit @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(31,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( ( hchop @ A @ B @ C )
& ( hchop @ C @ D @ E ) )
=> ? [F: view_e774982825t_unit] :
( ( hchop @ A @ F @ E )
& ( hchop @ F @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_view_Ohorizontal__chop__assoc1) ).
thf(258,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( ( hchop @ A @ B @ C )
& ( hchop @ C @ D @ E ) )
=> ? [F: view_e774982825t_unit] :
( ( hchop @ A @ F @ E )
& ( hchop @ F @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(58,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit] :
( ( hchop @ A @ B @ C )
=> ( ( own_Product_unit @ B )
= ( own_Product_unit @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_111_view_Ohorizontal__chop__own__trans) ).
thf(351,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit] :
( ( hchop @ A @ B @ C )
=> ( ( own_Product_unit @ B )
= ( own_Product_unit @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(72,axiom,
! [A: nat_int,B: nat_int] :
( ( ord_less_eq_nat_int @ A @ B )
=> ( ord_less_eq_nat @ ( nat_card @ A ) @ ( nat_card @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_169_card__subset__le) ).
thf(390,plain,
! [A: nat_int,B: nat_int] :
( ( ord_less_eq_nat_int @ A @ B )
=> ( ord_less_eq_nat @ ( nat_card @ A ) @ ( nat_card @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(76,axiom,
! [A: real,B: real,C: real] :
( ( ord_less_real @ ( plus_plus_real @ A @ B ) @ ( plus_plus_real @ A @ C ) )
= ( ord_less_real @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_201_add__less__cancel__left) ).
thf(401,plain,
! [A: real,B: real,C: real] :
( ( ord_less_real @ ( plus_plus_real @ A @ B ) @ ( plus_plus_real @ A @ C ) )
= ( ord_less_real @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(82,axiom,
! [A: nat] :
( ( ord_less_eq_nat @ A @ zero_zero_nat )
=> ( A = zero_zero_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_164_bot__nat__0_Oextremum__uniqueI) ).
thf(418,plain,
! [A: nat] :
( ( ord_less_eq_nat @ A @ zero_zero_nat )
=> ( A = zero_zero_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(28,axiom,
! [A: real,B: real] :
( ( ( plus_plus_real @ A @ B )
= B )
= ( A = zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_191_add__cancel__left__left) ).
thf(246,plain,
! [A: real,B: real] :
( ( ( plus_plus_real @ A @ B )
= B )
= ( A = zero_zero_real ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(87,axiom,
! [A: nat] :
( ( ord_less_eq_nat @ A @ zero_zero_nat )
= ( A = zero_zero_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_165_bot__nat__0_Oextremum__unique) ).
thf(433,plain,
! [A: nat] :
( ( ord_less_eq_nat @ A @ zero_zero_nat )
= ( A = zero_zero_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(70,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: cars > nat_int,E: cars] :
( ( hchop @ A @ B @ C )
=> ( ( restrict @ B @ D @ E )
= ( restrict @ C @ D @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_116_restriction_Orestriction__stable) ).
thf(383,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: cars > nat_int,E: cars] :
( ( hchop @ A @ B @ C )
=> ( ( restrict @ B @ D @ E )
= ( restrict @ C @ D @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(166,axiom,
! [A: traffic,B: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat )
& ! [C: cars] :
( ( ( real_length @ ( len @ regular_regular @ B @ A @ C ) )
= zero_zero_real )
| ( ( ( restrict @ B @ ( clm @ A ) @ C )
= bot_bot_nat_int )
& ( ( restrict @ B @ ( res @ A ) @ C )
= bot_bot_nat_int ) ) ) )
=> ~ ? [C: cars] :
( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( len @ regular_regular @ B @ A @ C )
= ( ext_Product_unit @ B ) )
& ( ( restrict @ B @ ( res @ A ) @ C )
= ( lan_Product_unit @ B ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_local_Ohmlsl_Ofree__no__res) ).
thf(899,plain,
! [A: traffic,B: view_e774982825t_unit] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat )
& ! [C: cars] :
( ( ( real_length @ ( len @ regular_regular @ B @ A @ C ) )
= zero_zero_real )
| ( ( ( restrict @ B @ ( clm @ A ) @ C )
= bot_bot_nat_int )
& ( ( restrict @ B @ ( res @ A ) @ C )
= bot_bot_nat_int ) ) ) )
=> ~ ? [C: cars] :
( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( len @ regular_regular @ B @ A @ C )
= ( ext_Product_unit @ B ) )
& ( ( restrict @ B @ ( res @ A ) @ C )
= ( lan_Product_unit @ B ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(42,axiom,
! [A: real] :
( ( plus_plus_real @ A @ zero_zero_real )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_187_add_Oright__neutral) ).
thf(290,plain,
! [A: real] :
( ( plus_plus_real @ A @ zero_zero_real )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(169,axiom,
! [A: real] :
( ( ord_less_real @ zero_zero_real @ ( plus_plus_real @ A @ A ) )
= ( ord_less_real @ zero_zero_real @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_228_zero__less__double__add__iff__zero__less__single__add) ).
thf(914,plain,
! [A: real] :
( ( ord_less_real @ zero_zero_real @ ( plus_plus_real @ A @ A ) )
= ( ord_less_real @ zero_zero_real @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(143,axiom,
! [A: traffic,B: view_e774982825t_unit] :
? [C: cars] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( len @ regular_regular @ B @ A @ C )
= ( ext_Product_unit @ B ) )
& ( ( restrict @ B @ ( res @ A ) @ C )
= ( lan_Product_unit @ B ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat ) )
=> ~ ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat )
& ! [D: cars] :
( ( ( real_length @ ( len @ regular_regular @ B @ A @ D ) )
= zero_zero_real )
| ( ( ( restrict @ B @ ( clm @ A ) @ D )
= bot_bot_nat_int )
& ( ( restrict @ B @ ( res @ A ) @ D )
= bot_bot_nat_int ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_local_Ohmlsl_Ores__not__free) ).
thf(752,plain,
! [A: traffic,B: view_e774982825t_unit] :
? [C: cars] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( len @ regular_regular @ B @ A @ C )
= ( ext_Product_unit @ B ) )
& ( ( restrict @ B @ ( res @ A ) @ C )
= ( lan_Product_unit @ B ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat ) )
=> ~ ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat )
& ! [D: cars] :
( ( ( real_length @ ( len @ regular_regular @ B @ A @ D ) )
= zero_zero_real )
| ( ( ( restrict @ B @ ( clm @ A ) @ D )
= bot_bot_nat_int )
& ( ( restrict @ B @ ( res @ A ) @ D )
= bot_bot_nat_int ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(32,axiom,
! [A: traffic > view_e774982825t_unit > $o,B: traffic > view_e774982825t_unit > $o,C: traffic > view_e774982825t_unit > $o,D: traffic,E: view_e774982825t_unit] :
( ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( hchop @ E @ F @ G )
& ( A @ D @ F )
& ? [H: view_e774982825t_unit,I: view_e774982825t_unit] :
( ( hchop @ G @ H @ I )
& ( B @ D @ H )
& ( C @ D @ I ) ) ) )
= ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( hchop @ E @ F @ G )
& ? [H: view_e774982825t_unit,I: view_e774982825t_unit] :
( ( hchop @ F @ H @ I )
& ( A @ D @ H )
& ( B @ D @ I ) )
& ( C @ D @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_local_Ohmlsl_Ohchop__assoc) ).
thf(262,plain,
! [A: traffic > view_e774982825t_unit > $o,B: traffic > view_e774982825t_unit > $o,C: traffic > view_e774982825t_unit > $o,D: traffic,E: view_e774982825t_unit] :
( ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( hchop @ E @ F @ G )
& ( A @ D @ F )
& ? [H: view_e774982825t_unit,I: view_e774982825t_unit] :
( ( hchop @ G @ H @ I )
& ( B @ D @ H )
& ( C @ D @ I ) ) ) )
= ( ? [F: view_e774982825t_unit,G: view_e774982825t_unit] :
( ( hchop @ E @ F @ G )
& ? [H: view_e774982825t_unit,I: view_e774982825t_unit] :
( ( hchop @ F @ H @ I )
& ( A @ D @ H )
& ( B @ D @ I ) )
& ( C @ D @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(36,axiom,
! [A: traffic,B: cars,C: traffic] :
( ( create_reservation @ A @ B @ C )
=> ( ord_less_eq_nat_int @ ( clm @ A @ B ) @ ( res @ C @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_172_traffic_Ocreate__res__subseteq2) ).
thf(273,plain,
! [A: traffic,B: cars,C: traffic] :
( ( create_reservation @ A @ B @ C )
=> ( ord_less_eq_nat_int @ ( clm @ A @ B ) @ ( res @ C @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(67,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( ( vchop @ A @ B @ C )
& ( vchop @ B @ D @ E ) )
=> ? [F: view_e774982825t_unit] :
( ( vchop @ A @ D @ F )
& ( vchop @ F @ E @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_view_Overtical__chop__assoc2) ).
thf(373,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( ( vchop @ A @ B @ C )
& ( vchop @ B @ D @ E ) )
=> ? [F: view_e774982825t_unit] :
( ( vchop @ A @ D @ F )
& ( vchop @ F @ E @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(49,axiom,
withdraw_claim @ ts_a @ d @ ts,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_50_d__def) ).
thf(326,plain,
withdraw_claim @ ts_a @ d @ ts,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(34,axiom,
! [A: real,B: real,C: real] :
( ( ord_less_real @ ( plus_plus_real @ A @ B ) @ ( plus_plus_real @ C @ B ) )
= ( ord_less_real @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_203_add__less__cancel__right) ).
thf(268,plain,
! [A: real,B: real,C: real] :
( ( ord_less_real @ ( plus_plus_real @ A @ B ) @ ( plus_plus_real @ C @ B ) )
= ( ord_less_real @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(129,axiom,
! [A: view_e774982825t_unit,B: traffic,C: cars] : ( ord_less_eq_nat @ ( nat_card @ ( restrict @ A @ ( clm @ B ) @ C ) ) @ one_one_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_126_restriction_Orestriction__clm__leq__one) ).
thf(664,plain,
! [A: view_e774982825t_unit,B: traffic,C: cars] : ( ord_less_eq_nat @ ( nat_card @ ( restrict @ A @ ( clm @ B ) @ C ) ) @ one_one_nat ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(136,axiom,
! [A: traffic,B: view_e774982825t_unit] :
( ? [C: view_e774982825t_unit,D: view_e774982825t_unit] :
( ( hchop @ B @ C @ D )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat )
& ! [E: cars] :
( ( ( real_length @ ( len @ regular_regular @ C @ A @ E ) )
= zero_zero_real )
| ( ( ( restrict @ C @ ( clm @ A ) @ E )
= bot_bot_nat_int )
& ( ( restrict @ C @ ( res @ A ) @ E )
= bot_bot_nat_int ) ) )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ! [E: cars] :
( ( ( real_length @ ( len @ regular_regular @ D @ A @ E ) )
= zero_zero_real )
| ( ( ( restrict @ D @ ( clm @ A ) @ E )
= bot_bot_nat_int )
& ( ( restrict @ D @ ( res @ A ) @ E )
= bot_bot_nat_int ) ) ) )
=> ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat )
& ! [C: cars] :
( ( ( real_length @ ( len @ regular_regular @ B @ A @ C ) )
= zero_zero_real )
| ( ( ( restrict @ B @ ( clm @ A ) @ C )
= bot_bot_nat_int )
& ( ( restrict @ B @ ( res @ A ) @ C )
= bot_bot_nat_int ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_63_local_Ohmlsl_Ofree__compose) ).
thf(696,plain,
! [A: traffic,B: view_e774982825t_unit] :
( ? [C: view_e774982825t_unit,D: view_e774982825t_unit] :
( ( hchop @ B @ C @ D )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat )
& ! [E: cars] :
( ( ( real_length @ ( len @ regular_regular @ C @ A @ E ) )
= zero_zero_real )
| ( ( ( restrict @ C @ ( clm @ A ) @ E )
= bot_bot_nat_int )
& ( ( restrict @ C @ ( res @ A ) @ E )
= bot_bot_nat_int ) ) )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ! [E: cars] :
( ( ( real_length @ ( len @ regular_regular @ D @ A @ E ) )
= zero_zero_real )
| ( ( ( restrict @ D @ ( clm @ A ) @ E )
= bot_bot_nat_int )
& ( ( restrict @ D @ ( res @ A ) @ E )
= bot_bot_nat_int ) ) ) )
=> ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat )
& ! [C: cars] :
( ( ( real_length @ ( len @ regular_regular @ B @ A @ C ) )
= zero_zero_real )
| ( ( ( restrict @ B @ ( clm @ A ) @ C )
= bot_bot_nat_int )
& ( ( restrict @ B @ ( res @ A ) @ C )
= bot_bot_nat_int ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(81,axiom,
! [A: nat] :
( ( ord_less_eq_nat @ A @ zero_zero_nat )
= ( A = zero_zero_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_73_le__zero__eq) ).
thf(415,plain,
! [A: nat] :
( ( ord_less_eq_nat @ A @ zero_zero_nat )
= ( A = zero_zero_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(52,axiom,
( ( nat_card @ bot_bot_nat_int )
= zero_zero_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_170_card__empty__zero) ).
thf(332,plain,
( ( nat_card @ bot_bot_nat_int )
= zero_zero_nat ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(108,axiom,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( vchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( res @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ B @ A )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ B ) @ A )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) )
=> ~ ? [D: cars] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ D )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( clm @ B ) @ D )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
| ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ D )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ B ) @ D )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_59_local_Ohmlsl_Otwo__res__no__car) ).
thf(575,plain,
! [A: cars,B: traffic,C: view_e774982825t_unit] :
( ? [D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( vchop @ C @ D @ E )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ D ) ) )
& ( ( len @ regular_regular @ D @ B @ A )
= ( ext_Product_unit @ D ) )
& ( ( restrict @ D @ ( res @ B ) @ A )
= ( lan_Product_unit @ D ) )
& ( ( nat_card @ ( lan_Product_unit @ D ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ B @ A )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ B ) @ A )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) )
=> ~ ? [D: cars] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ D )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( clm @ B ) @ D )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) )
| ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ C ) ) )
& ( ( len @ regular_regular @ C @ B @ D )
= ( ext_Product_unit @ C ) )
& ( ( restrict @ C @ ( res @ B ) @ D )
= ( lan_Product_unit @ C ) )
& ( ( nat_card @ ( lan_Product_unit @ C ) )
= one_one_nat ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(111,axiom,
! [A: view_e774982825t_unit,B: cars > nat_int,C: cars] : ( ord_less_eq_nat_int @ ( restrict @ A @ B @ C ) @ ( lan_Product_unit @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_114_restriction_Orestrict__view) ).
thf(596,plain,
! [A: view_e774982825t_unit,B: cars > nat_int,C: cars] : ( ord_less_eq_nat_int @ ( restrict @ A @ B @ C ) @ ( lan_Product_unit @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(167,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit] :
( ( ( vchop @ A @ B @ C )
& ( ( nat_card @ ( lan_Product_unit @ A ) )
= one_one_nat ) )
=> ( ( ( nat_card @ ( lan_Product_unit @ B ) )
= zero_zero_nat )
| ( ( nat_card @ ( lan_Product_unit @ C ) )
= zero_zero_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_80_view_Overtical__chop__singleton) ).
thf(908,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit] :
( ( ( vchop @ A @ B @ C )
& ( ( nat_card @ ( lan_Product_unit @ A ) )
= one_one_nat ) )
=> ( ( ( nat_card @ ( lan_Product_unit @ B ) )
= zero_zero_nat )
| ( ( nat_card @ ( lan_Product_unit @ C ) )
= zero_zero_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(5,axiom,
! [A: traffic > view_e774982825t_unit > $o,B: traffic,C: view_e774982825t_unit] :
( ( A @ B @ C )
=> ? [D: view_e774982825t_unit] :
( ? [E: view_e774982825t_unit] : ( hchop @ C @ D @ E )
& ( A @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_local_Ohmlsl_Ohchop__weaken1) ).
thf(178,plain,
! [A: traffic > view_e774982825t_unit > $o,B: traffic,C: view_e774982825t_unit] :
( ( A @ B @ C )
=> ? [D: view_e774982825t_unit] :
( ? [E: view_e774982825t_unit] : ( hchop @ C @ D @ E )
& ( A @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(21,axiom,
! [A: real,B: real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ord_less_real @ ( plus_plus_real @ A @ C ) @ ( plus_plus_real @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_265_add__strict__right__mono) ).
thf(227,plain,
! [A: real,B: real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ord_less_real @ ( plus_plus_real @ A @ C ) @ ( plus_plus_real @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(48,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( ( vchop @ A @ B @ C )
& ( vchop @ C @ D @ E ) )
=> ? [F: view_e774982825t_unit] :
( ( vchop @ A @ F @ E )
& ( vchop @ F @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_88_view_Overtical__chop__assoc1) ).
thf(322,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: view_e774982825t_unit,D: view_e774982825t_unit,E: view_e774982825t_unit] :
( ( ( vchop @ A @ B @ C )
& ( vchop @ C @ D @ E ) )
=> ? [F: view_e774982825t_unit] :
( ( vchop @ A @ F @ E )
& ( vchop @ F @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(54,axiom,
! [A: nat] :
( ( ord_less_eq_nat @ A @ zero_zero_nat )
= ( A = zero_zero_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_167_le__0__eq) ).
thf(337,plain,
! [A: nat] :
( ( ord_less_eq_nat @ A @ zero_zero_nat )
= ( A = zero_zero_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(59,axiom,
abstract @ ts3 @ ts_a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_wd__clm_Ohyps_I1_J) ).
thf(354,plain,
abstract @ ts3 @ ts_a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(44,axiom,
! [A: view_e774982825t_unit] :
? [B: view_e774982825t_unit,C: view_e774982825t_unit] : ( vchop @ A @ B @ C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_view_Overtical__chop1) ).
thf(309,plain,
! [A: view_e774982825t_unit] :
? [B: view_e774982825t_unit,C: view_e774982825t_unit] : ( vchop @ A @ B @ C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(105,axiom,
! [A: traffic,B: cars,C: traffic,D: cars,E: view_e774982825t_unit] :
( ( ( create_reservation @ A @ B @ C )
& ( B != D )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ C @ D )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ C ) @ D )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) )
=> ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ A @ D )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ A ) @ D )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_128_hmlsl__regular_Obackwards__res__stab) ).
thf(543,plain,
! [A: traffic,B: cars,C: traffic,D: cars,E: view_e774982825t_unit] :
( ( ( create_reservation @ A @ B @ C )
& ( B != D )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ C @ D )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ C ) @ D )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) )
=> ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ E ) ) )
& ( ( len @ regular_regular @ E @ A @ D )
= ( ext_Product_unit @ E ) )
& ( ( restrict @ E @ ( res @ A ) @ D )
= ( lan_Product_unit @ E ) )
& ( ( nat_card @ ( lan_Product_unit @ E ) )
= one_one_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(17,axiom,
! [A: real,B: real] :
( ( A
= ( plus_plus_real @ A @ B ) )
= ( B = zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_197_add__cancel__right__right) ).
thf(215,plain,
! [A: real,B: real] :
( ( A
= ( plus_plus_real @ A @ B ) )
= ( B = zero_zero_real ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(122,axiom,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: traffic,D: cars] :
( ( ( ord_less_eq_real_int @ ( ext_Product_unit @ A ) @ ( ext_Product_unit @ B ) )
& ( ( own_Product_unit @ A )
= ( own_Product_unit @ B ) )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ A @ C @ D ) ) ) )
=> ( ord_less_eq_real_int @ ( len @ regular_regular @ A @ C @ D ) @ ( len @ regular_regular @ B @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_104_hmlsl_Oview__leq__len__leq) ).
thf(639,plain,
! [A: view_e774982825t_unit,B: view_e774982825t_unit,C: traffic,D: cars] :
( ( ( ord_less_eq_real_int @ ( ext_Product_unit @ A ) @ ( ext_Product_unit @ B ) )
& ( ( own_Product_unit @ A )
= ( own_Product_unit @ B ) )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ A @ C @ D ) ) ) )
=> ( ord_less_eq_real_int @ ( len @ regular_regular @ A @ C @ D ) @ ( len @ regular_regular @ B @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(100,axiom,
! [A: traffic,B: view_e774982825t_unit] :
( ( ( real_length @ ( ext_Product_unit @ B ) )
= zero_zero_real )
=> ~ ? [C: cars] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( len @ regular_regular @ B @ A @ C )
= ( ext_Product_unit @ B ) )
& ( ( restrict @ B @ ( clm @ A ) @ C )
= ( lan_Product_unit @ B ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat ) )
| ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( len @ regular_regular @ B @ A @ C )
= ( ext_Product_unit @ B ) )
& ( ( restrict @ B @ ( res @ A ) @ C )
= ( lan_Product_unit @ B ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_local_Ohmlsl_Oempty__no__car) ).
thf(496,plain,
! [A: traffic,B: view_e774982825t_unit] :
( ( ( real_length @ ( ext_Product_unit @ B ) )
= zero_zero_real )
=> ~ ? [C: cars] :
( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( len @ regular_regular @ B @ A @ C )
= ( ext_Product_unit @ B ) )
& ( ( restrict @ B @ ( clm @ A ) @ C )
= ( lan_Product_unit @ B ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat ) )
| ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ B ) ) )
& ( ( len @ regular_regular @ B @ A @ C )
= ( ext_Product_unit @ B ) )
& ( ( restrict @ B @ ( res @ A ) @ C )
= ( lan_Product_unit @ B ) )
& ( ( nat_card @ ( lan_Product_unit @ B ) )
= one_one_nat ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(1101,plain,
$false,
inference(e,[status(thm)],[645,629,479,347,249,893,666,777,555,379,861,797,715,340,538,404,185,841,320,436,504,917,357,619,838,284,638,853,421,870,492,238,211,253,221,293,774,660,411,243,428,877,692,265,849,233,201,761,366,334,598,392,407,275,815,467,197,625,583,224,742,874,725,593,488,669,476,642,622,738,173,911,343,360,205,311,398,718,425,430,856,279,689,444,601,176,191,286,281,611,236,540,672,187,172,784,377,230,616,271,208,387,213,240,330,780,394,438,653,922,722,680,648,355,553,887,327,409,182,370,470,656,613,314,446,859,845,465,363,524,218,368,771,482,203,896,258,351,390,401,418,246,433,383,899,290,914,752,262,273,373,326,268,664,696,415,332,575,596,908,178,227,322,337,354,309,543,215,639,496]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP169^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.08/0.19 % Computer : n004.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 20:05:07 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.71/0.56 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.70/0.88 % [INFO] Parsing done (323ms).
% 1.70/0.89 % [INFO] Running in sequential loop mode.
% 2.75/1.09 % [INFO] eprover registered as external prover.
% 2.75/1.10 % [INFO] Scanning for conjecture ...
% 3.23/1.19 % [INFO] Found a conjecture (or negated_conjecture) and 284 axioms. Running axiom selection ...
% 3.55/1.29 % [INFO] Axiom selection finished. Selected 169 axioms (removed 115 axioms).
% 4.52/1.47 % [INFO] Problem is higher-order (TPTP THF).
% 4.96/1.50 % [INFO] Type checking passed.
% 4.96/1.50 % [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 ...
% 15.47/3.75 % External prover 'e' found a proof!
% 15.47/3.75 % [INFO] Killing All external provers ...
% 15.47/3.75 % Time passed: 3467ms (effective reasoning time: 2861ms)
% 15.47/3.76 % 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)>
% 15.47/3.76 % Axioms used in derivation (169): fact_275_add__mono__thms__linordered__field_I5_J, fact_5_local_Ohmlsl_Ores__ge__zero, fact_79_zero__reorient, fact_203_add__less__cancel__right, fact_19_local_Ohmlsl_Ohchop__weaken2, fact_16_local_Ohmlsl_Ores__at__most__two, fact_32_local_Ohmlsl_Oglobally__refl, fact_179_add__right__cancel, fact_83_view_Ohorizontal__chop__assoc1, fact_64_local_Ohmlsl_Owidth__free, fact_131_bot__nat__0_Oextremum, fact_45_local_Ohmlsl_Olength__meld, fact_123_restriction_Orestrict__eq__lan__subs, fact_51_local_Ohmlsl_Owidth__clm, fact_74_hmlsl__regular_Obackwards__c__res__stab, fact_67_local_Ohmlsl_Ofree__no__clm, fact_130_le0, fact_35_local_Ohmlsl_Owidth__hchop__stable, fact_7_abs, fact_168_less__eq__nat_Osimps_I1_J, fact_191_add__cancel__left__left, fact_84_view_Ohorizontal__chop__assoc2, fact_111_view_Ohorizontal__chop__own__trans, fact_189_double__zero, fact_37_hmlsl_Olen__stable__up, fact_223_less__add__same__cancel1, fact_273_add__mono__thms__linordered__field_I2_J, fact_27_local_Ohmlsl_Ovchop__disj__distr2, fact_114_restriction_Orestrict__view, fact_69_local_Ohmlsl_Oclm__not__free, fact_115_restriction_Orestrict__res, fact_161_le__trans, fact_36_local_Ohmlsl_Olength__vchop__stable, fact_41_hmlsl_Olen__view__hchop__left, fact_53_local_Ohmlsl_Oclm__decompose, fact_60__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062d_O_Ats_H_A_092_060_094bold_062_092_060midarrow_062wdc_I_Ad_A_J_A_092_060_094bold_062_092_060rightarrow_062_Ats_H_H_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062, fact_26_local_Ohmlsl_Ohchop__assoc, fact_197_add__cancel__right__right, fact_11_local_Ohmlsl_Ores__decompose, fact_25_local_Ohmlsl_Ohchop__disj__distr1, fact_18_local_Ohmlsl_Oclm__ge__zero, fact_116_restriction_Orestriction__stable, fact_109_hmlsl__regular_Oreservation, fact_169_card__subset__le, fact_132_card__non__empty__geq__one, fact_126_restriction_Orestriction__clm__leq__one, fact_81_one__reorient, fact_159_le__antisym, fact_2_local_Ohmlsl_Olength__geq__zero, fact_103_view_Osomewhere__leq, fact_15_local_Ohmlsl_Otwo__lanes__no__car, fact_62_local_Ohmlsl_Ofree__decompose, fact_65_local_Ohmlsl_Ores__not__free, fact_85_view_Ohorizontal__chop__empty__left, fact_63_local_Ohmlsl_Ofree__compose, fact_56_local_Ohmlsl_Oclm__sing, fact_201_add__less__cancel__left, fact_128_hmlsl__regular_Obackwards__res__stab, fact_122_restriction_Orestriction__eq__view__card, fact_30_local_Ohmlsl_Ov__chop__weaken1, fact_263_add__less__imp__less__left, fact_124_restriction_Orestriction__card__mon1, fact_43_wd__clm_Ohyps_I2_J, fact_173_traffic_OatMostOneClm, fact_73_le__zero__eq, fact_110_hmlsl_Oext__eq__len__eq, fact_70_hmlsl__regular_Obackwards__wdc__res__stab, fact_172_traffic_Ocreate__res__subseteq2, fact_87_view_Overtical__chop1, fact_269_add__strict__mono, fact_54_local_Ohmlsl_Oclm__compose, fact_58_local_Ohmlsl_Ono__clm__before__res, fact_14_local_Ohmlsl_Oempty__no__car, fact_177_add__left__cancel, fact_195_add__cancel__right__left, fact_4__092_060open_062_092_060exists_062v_H_092_060le_062move_Ats_Ats_H_H_Av_O_A_I0_A_060_A_092_060parallel_062ext_Av_H_092_060parallel_062_A_092_060and_062_Alen_Av_H_Ats_H_H_Ac_A_061_Aext_Av_H_A_092_060and_062_Arestrict_Av_H_A_Ires_Ats_H_H_J_Ac_A_061_Alan_Av_H_A_092_060and_062_A_124lan_Av_H_124_A_061_A1_J_A_092_060and_062_A0_A_060_A_092_060parallel_062ext_Av_H_092_060parallel_062_A_092_060and_062_Alen_Av_H_Ats_H_H_Ae_A_061_Aext_Av_H_A_092_060and_062_Arestrict_Av_H_A_Ires_Ats_H_H_J_Ae_A_061_Alan_Av_H_A_092_060and_062_A_124lan_Av_H_124_A_061_A1_092_060close_062, fact_91_view_Overtical__chop__empty__down, fact_127_restriction_Orestriction__card__mon__trans, fact_174_traffic_OatLeastOneRes, fact_185_add_Oleft__neutral, fact_9_move__stab, fact_10_local_Ohmlsl_Ores__compose, fact_86_view_Ohorizontal__chop__empty__right, fact_102_view_Overtical__chop__length__stable, fact_162_le__refl, fact_3_hmlsl_Olen__empty__subview, fact_57_local_Ohmlsl_Ono__clm__before__res2, fact_153_Nat_Oex__has__greatest__nat, fact_99_view_Overtical__chop__leq2, fact_170_card__empty__zero, fact_8__092_060open_062move_Ats_Ats_H_Av_A_061_Amove_Ats_H_Ats_H_H_A_Imove_Ats_Ats_H_Av_J_092_060close_062, fact_24_local_Ohmlsl_Ohchop__disj__distr2, fact_118_restriction_Orestriction__stable2, fact_97_view_Ohorizontal__chop__leq2, fact_265_add__strict__right__mono, fact_225_less__add__same__cancel2, fact_47_hmlsl_Olen__empty__on__subview2, fact_89_view_Overtical__chop__assoc2, fact_120_restriction_Orestriction__mon2, fact_33_local_Ohmlsl_Oglobally__4, fact_20_local_Ohmlsl_Ohchop__weaken1, fact_121_restriction_Orestriction__mon1, fact_0_neg, fact_98_view_Ohorizontal__chop__leq1, fact_21_local_Ohmlsl_Ohchop__weaken, fact_61_local_Ohmlsl_Ofree__dense, fact_34_wd__clm_Ohyps_I1_J, fact_39_hmlsl_Olen__stable, fact_104_hmlsl_Oview__leq__len__leq, fact_271_add__mono__thms__linordered__field_I1_J, fact_80_view_Overtical__chop__singleton, fact_12_local_Ohmlsl_Ores__dense, fact_117_restriction_Orestriction__stable1, fact_13_local_Ohmlsl_Ocar__one__lane__non__empty, fact_92_zero__le, fact_44_local_Ohmlsl_Olength__split, fact_88_view_Overtical__chop__assoc1, fact_22_local_Ohmlsl_Ohchop__neg2, fact_219_add__less__same__cancel1, fact_6_local_Ohmlsl_Owidth__res, fact_31_local_Ohmlsl_Ov__chop__assoc, fact_187_add_Oright__neutral, fact_157_nat__le__linear, fact_101_view_Ohorizontal__chop__width__stable, fact_105_restriction_Orestriction__card__somewhere__mon, fact_40_hmlsl_Olen__view__hchop__right, fact_190_double__zero__sym, fact_55_local_Ohmlsl_Oclm__sing__not__interrupted, fact_125_restriction_Orestriction__card__mon2, fact_76_hmlsl_Olen__sub__int, fact_38_hmlsl_Olen__stable__down, fact_106_hmlsl__regular_Obackwards__res__act, fact_160_eq__imp__le, fact_165_bot__nat__0_Oextremum__unique, fact_42_hmlsl_Olen__compose__hchop, fact_66_local_Ohmlsl_Ofree__no__res, fact_113_restriction_Orestrict__subseteq, fact_77_view_Overtical__chop__width__mon, fact_90_view_Overtical__chop__empty__up, fact_75_hmlsl__regular_Obackwards__wdr__res__stab, fact_164_bot__nat__0_Oextremum__uniqueI, fact_78_zero__reorient, fact_100_view_Overtical__chop__leq1, fact_221_add__less__same__cancel2, fact_228_zero__less__double__add__iff__zero__less__single__add, fact_52_local_Ohmlsl_Oclm__dense, fact_193_add__cancel__left__right, fact_59_local_Ohmlsl_Otwo__res__no__car, fact_107_hmlsl__regular_Oreservation2, fact_119_restriction_Orestrict__clm, fact_48_hmlsl_Olen__empty__on__subview1, conj_0, fact_267_add__strict__left__mono, fact_71_view_Ohorizontal__chop__non__empty, fact_17_local_Ohmlsl_Otwo__res__not__res, fact_167_le__0__eq, fact_82_view_Ohorizontal__chop1, fact_261_add__less__imp__less__right, fact_23_local_Ohmlsl_Ohchop__neg1, fact_1_local_Ohmlsl_Osensors__ge, fact_112_view_Overtical__chop__own__trans, fact_227_double__add__less__zero__iff__single__add__less__zero, fact_28_local_Ohmlsl_Ovchop__disj__distr1, fact_46_local_Ohmlsl_Olength__dense, fact_108_hmlsl__regular_Oreservation1, fact_49_hmlsl_Olen__fills__subview, fact_68_local_Ohmlsl_Ofree__ge__zero, fact_29_local_Ohmlsl_Ov__chop__weaken2, fact_50_d__def
% 15.47/3.76 % No. of inferences in proof: 342
% 15.47/3.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3467 ms resp. 2861 ms w/o parsing
% 16.69/3.90 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 16.69/3.90 % [INFO] Killing All external provers ...
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