%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : ITP168^1 : TPTP v9.2.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 08:56:06 AM UTC 2026
% Result : Theorem 8.50s 2.47s
% Output : Refutation 8.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 57 ( 24 unt; 0 typ; 5 def)
% Number of atoms : 213 ( 65 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 376 ( 45 ~; 42 |; 3 &; 271 @)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 13 ( 12 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 195 ( 192 usr; 18 con; 0-5 aty)
% Number of variables : 58 ( 0 ^; 51 !; 7 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
cars: $tType ).
thf(type_def_6,type,
real: $tType ).
thf(type_def_8,type,
nat_int: $tType ).
thf(type_def_9,type,
product_unit: $tType ).
thf(type_def_10,type,
traffic: $tType ).
thf(type_def_11,type,
view_e774982825t_unit: $tType ).
thf(type_def_12,type,
nat: $tType ).
thf(type_def_13,type,
real_int: $tType ).
thf(type_def_14,type,
view_ext_nat_int: $tType ).
thf(type_def_15,type,
view_ext_nat: $tType ).
thf(type_def_16,type,
view_ext_real_int: $tType ).
thf(type_def_17,type,
view_e665166499t_unit: $tType ).
thf(func_def_0,type,
view_e665166499t_unit: $tType ).
thf(func_def_1,type,
view_e774982825t_unit: $tType ).
thf(func_def_2,type,
view_ext_real_int: $tType ).
thf(func_def_3,type,
view_ext_nat_int: $tType ).
thf(func_def_4,type,
view_ext_nat: $tType ).
thf(func_def_5,type,
product_unit: $tType ).
thf(func_def_6,type,
real_int: $tType ).
thf(func_def_7,type,
nat_int: $tType ).
thf(func_def_8,type,
traffic: $tType ).
thf(func_def_9,type,
real: $tType ).
thf(func_def_10,type,
cars: $tType ).
thf(func_def_11,type,
nat: $tType ).
thf(func_def_12,type,
fun_up1431237090l_real: ( cars > real > real ) > cars > ( real > real ) > cars > real > real ).
thf(func_def_13,type,
fun_upd_cars_nat_int: ( cars > nat_int ) > cars > nat_int > cars > nat_int ).
thf(func_def_14,type,
minus_minus_real: real > real > real ).
thf(func_def_15,type,
defaul1399868459t_unit: product_unit ).
thf(func_def_16,type,
if_real_real: $o > ( real > real ) > ( real > real ) > real > real ).
thf(func_def_17,type,
if_nat_int: $o > nat_int > nat_int > nat_int ).
thf(func_def_18,type,
move: traffic > traffic > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_19,type,
nat_N_Chop: nat_int > nat_int > nat_int > $o ).
thf(func_def_20,type,
nat_card: nat_int > nat ).
thf(func_def_21,type,
nat_consec: nat_int > nat_int > $o ).
thf(func_def_22,type,
nat_not_in: nat > nat_int > $o ).
thf(func_def_23,type,
nat_union: nat_int > nat_int > nat_int ).
thf(func_def_24,type,
bot_bot_nat_int: nat_int ).
thf(func_def_25,type,
bot_bot_nat: nat ).
thf(func_def_26,type,
bot_bot_Product_unit: product_unit ).
thf(func_def_27,type,
ord_less_nat_int: nat_int > nat_int > $o ).
thf(func_def_28,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_29,type,
ord_less_real_int: real_int > real_int > $o ).
thf(func_def_30,type,
ord_le893810930at_int: view_ext_nat_int > view_ext_nat_int > $o ).
thf(func_def_31,type,
ord_le1522419062xt_nat: view_ext_nat > view_ext_nat > $o ).
thf(func_def_32,type,
ord_le1993783549t_unit: view_e774982825t_unit > view_e774982825t_unit > $o ).
thf(func_def_33,type,
ord_le147108278al_int: view_ext_real_int > view_ext_real_int > $o ).
thf(func_def_34,type,
ord_le750644047t_unit: view_e665166499t_unit > view_e665166499t_unit > $o ).
thf(func_def_35,type,
ord_less_eq_nat_int: nat_int > nat_int > $o ).
thf(func_def_36,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_37,type,
ord_le1997193645t_unit: product_unit > product_unit > $o ).
thf(func_def_38,type,
ord_less_eq_real_int: real_int > real_int > $o ).
thf(func_def_39,type,
ord_less_eq_real: real > real > $o ).
thf(func_def_40,type,
ord_le1902160870at_int: view_ext_nat_int > view_ext_nat_int > $o ).
thf(func_def_41,type,
ord_le1036425834xt_nat: view_ext_nat > view_ext_nat > $o ).
thf(func_def_42,type,
ord_le461438217t_unit: view_e774982825t_unit > view_e774982825t_unit > $o ).
thf(func_def_43,type,
ord_le1863101098al_int: view_ext_real_int > view_ext_real_int > $o ).
thf(func_def_44,type,
ord_le63244867t_unit: view_e665166499t_unit > view_e665166499t_unit > $o ).
thf(func_def_45,type,
product_Unity: product_unit ).
thf(func_def_46,type,
real_R_Chop: real_int > real_int > real_int > $o ).
thf(func_def_47,type,
real_shift: real_int > real > real_int ).
thf(func_def_48,type,
abstract: traffic > traffic > $o ).
thf(func_def_49,type,
braking_distance: traffic > cars > real ).
thf(func_def_50,type,
change_dyn: traffic > cars > ( real > real ) > traffic > $o ).
thf(func_def_51,type,
clm: traffic > cars > nat_int ).
thf(func_def_52,type,
create_claim: traffic > cars > nat > traffic > $o ).
thf(func_def_53,type,
create_reservation: traffic > cars > traffic > $o ).
thf(func_def_54,type,
dyn: traffic > cars > real > real ).
thf(func_def_55,type,
evolve: traffic > traffic > $o ).
thf(func_def_56,type,
physical_size: traffic > cars > real ).
thf(func_def_57,type,
pos: traffic > cars > real ).
thf(func_def_58,type,
res: traffic > cars > nat_int ).
thf(func_def_59,type,
withdraw_claim: traffic > cars > traffic > $o ).
thf(func_def_60,type,
withdraw_reservation: traffic > cars > nat > traffic > $o ).
thf(func_def_61,type,
ext_nat_int: view_ext_nat_int > real_int ).
thf(func_def_62,type,
ext_nat: view_ext_nat > real_int ).
thf(func_def_63,type,
ext_Product_unit: view_e774982825t_unit > real_int ).
thf(func_def_64,type,
ext_real_int: view_ext_real_int > real_int ).
thf(func_def_65,type,
ext_vi2102772532t_unit: view_e665166499t_unit > real_int ).
thf(func_def_66,type,
hchop: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > $o ).
thf(func_def_67,type,
lan_nat_int: view_ext_nat_int > nat_int ).
thf(func_def_68,type,
lan_nat: view_ext_nat > nat_int ).
thf(func_def_69,type,
lan_Product_unit: view_e774982825t_unit > nat_int ).
thf(func_def_70,type,
lan_real_int: view_ext_real_int > nat_int ).
thf(func_def_71,type,
lan_vi1543476748t_unit: view_e665166499t_unit > nat_int ).
thf(func_def_72,type,
more_nat_int: view_ext_nat_int > nat_int ).
thf(func_def_73,type,
more_nat: view_ext_nat > nat ).
thf(func_def_74,type,
more_Product_unit: view_e774982825t_unit > product_unit ).
thf(func_def_75,type,
more_real_int: view_ext_real_int > real_int ).
thf(func_def_76,type,
more_v92543030t_unit: view_e665166499t_unit > view_e774982825t_unit ).
thf(func_def_77,type,
own_nat_int: view_ext_nat_int > cars ).
thf(func_def_78,type,
own_nat: view_ext_nat > cars ).
thf(func_def_79,type,
own_Product_unit: view_e774982825t_unit > cars ).
thf(func_def_80,type,
own_real_int: view_ext_real_int > cars ).
thf(func_def_81,type,
own_vi676290681t_unit: view_e665166499t_unit > cars ).
thf(func_def_82,type,
switch: view_e774982825t_unit > cars > view_e774982825t_unit > $o ).
thf(func_def_83,type,
view_e912666823t_unit: real_int > nat_int > cars > product_unit > view_e774982825t_unit ).
thf(func_def_84,type,
ts: traffic ).
thf(func_def_85,type,
ts2: traffic ).
thf(func_def_86,type,
ts_a: traffic ).
thf(func_def_87,type,
ts3: traffic ).
thf(func_def_88,type,
v: view_e774982825t_unit ).
thf(func_def_102,type,
sP0: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > $o ).
thf(func_def_103,type,
sP1: ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > $o ).
thf(func_def_104,type,
sP2: ( traffic > view_e774982825t_unit > $o ) > cars > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > $o ).
thf(func_def_105,type,
sP3: ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > cars > $o ).
thf(func_def_106,type,
sP4: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > cars > $o ).
thf(func_def_107,type,
sP5: ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > $o ).
thf(func_def_108,type,
sP6: ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > $o ).
thf(func_def_109,type,
sK7: ( nat_int > nat_int ) > nat_int ).
thf(func_def_110,type,
sK8: ( nat_int > nat_int ) > nat_int ).
thf(func_def_111,type,
sK9: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_112,type,
sK10: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_113,type,
sK11: ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_114,type,
sK12: ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_115,type,
sK13: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit ).
thf(func_def_116,type,
sK14: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit ).
thf(func_def_117,type,
sK15: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_118,type,
sK16: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_119,type,
sK17: view_e774982825t_unit > cars > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_120,type,
sK18: view_e774982825t_unit > cars > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_121,type,
sK19: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_122,type,
sK20: view_e774982825t_unit > cars > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit ).
thf(func_def_123,type,
sK21: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > cars > traffic > view_e774982825t_unit ).
thf(func_def_124,type,
sK22: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_125,type,
sK23: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_126,type,
sK24: ( nat_int > nat_int ) > nat_int ).
thf(func_def_127,type,
sK25: ( nat_int > nat_int ) > nat_int ).
thf(func_def_128,type,
sK26: traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > traffic ).
thf(func_def_129,type,
sK27: ( nat_int > view_e774982825t_unit ) > nat_int ).
thf(func_def_130,type,
sK28: ( nat_int > view_e774982825t_unit ) > nat_int ).
thf(func_def_131,type,
sK29: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit ).
thf(func_def_132,type,
sK30: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit ).
thf(func_def_133,type,
sK31: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit ).
thf(func_def_134,type,
sK32: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit ).
thf(func_def_135,type,
sK33: ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > cars > view_e774982825t_unit ).
thf(func_def_136,type,
sK34: ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > cars > view_e774982825t_unit ).
thf(func_def_137,type,
sK35: cars > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_138,type,
sK36: traffic > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_139,type,
sK37: traffic > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_140,type,
sK38: traffic > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_141,type,
sK39: traffic > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_142,type,
sK40: traffic > cars > traffic ).
thf(func_def_143,type,
sK41: ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > traffic > view_e774982825t_unit ).
thf(func_def_144,type,
sK42: ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > traffic > view_e774982825t_unit ).
thf(func_def_145,type,
sK43: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > cars > traffic > view_e774982825t_unit ).
thf(func_def_146,type,
sK44: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > cars > traffic > view_e774982825t_unit ).
thf(func_def_147,type,
sK45: ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_148,type,
sK46: ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_149,type,
sK47: ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_150,type,
sK48: ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_151,type,
sK49: ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_152,type,
sK50: ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_153,type,
sK51: ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_154,type,
sK52: ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_155,type,
sK53: ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_156,type,
sK54: ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_157,type,
sK55: ( traffic > view_e774982825t_unit > $o ) > cars > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_158,type,
sK56: ( traffic > view_e774982825t_unit > $o ) > cars > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_159,type,
sK57: ( traffic > view_e774982825t_unit > $o ) > cars > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_160,type,
sK58: view_e774982825t_unit > cars > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_161,type,
sK59: cars > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_162,type,
sK60: cars > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_163,type,
sK61: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_164,type,
sK62: view_e774982825t_unit > cars > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_165,type,
sK63: view_e774982825t_unit > cars > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_166,type,
sK64: view_e774982825t_unit > cars ).
thf(func_def_167,type,
sK65: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_168,type,
sK66: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_169,type,
sK67: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_170,type,
sK68: cars ).
thf(func_def_171,type,
sK69: ( traffic > view_e774982825t_unit > $o ) > cars > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > traffic > view_e774982825t_unit ).
thf(func_def_172,type,
sK70: ( traffic > view_e774982825t_unit > $o ) > cars > view_e774982825t_unit > traffic > view_e774982825t_unit ).
thf(func_def_173,type,
sK71: cars > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > traffic > view_e774982825t_unit ).
thf(func_def_174,type,
sK72: ( nat_int > view_e774982825t_unit ) > nat_int ).
thf(func_def_175,type,
sK73: ( nat_int > view_e774982825t_unit ) > nat_int ).
thf(func_def_176,type,
sK74: ( nat_int > nat_int ) > nat_int ).
thf(func_def_177,type,
sK75: ( nat_int > nat_int ) > nat_int ).
thf(func_def_178,type,
sK76: ( view_e774982825t_unit > nat_int ) > view_e774982825t_unit ).
thf(func_def_179,type,
sK77: ( view_e774982825t_unit > nat_int ) > view_e774982825t_unit ).
thf(func_def_180,type,
sK78: ( nat_int > nat_int ) > nat_int ).
thf(func_def_181,type,
sK79: ( nat_int > nat_int ) > nat_int ).
thf(func_def_182,type,
sK80: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_183,type,
sK81: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > cars > view_e774982825t_unit ).
thf(func_def_184,type,
sK82: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > cars > view_e774982825t_unit ).
thf(func_def_185,type,
sK83: ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > traffic > view_e774982825t_unit ).
thf(func_def_186,type,
sK84: ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > traffic > view_e774982825t_unit ).
thf(func_def_187,type,
sK85: ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > traffic > view_e774982825t_unit ).
thf(func_def_188,type,
sK86: ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > traffic > view_e774982825t_unit ).
thf(func_def_189,type,
sK87: ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > traffic ).
thf(func_def_190,type,
sK88: cars > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_191,type,
sK89: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit ).
thf(func_def_192,type,
sK90: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit ).
thf(func_def_193,type,
sK91: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit ).
thf(func_def_194,type,
sK92: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit ).
thf(func_def_195,type,
sK93: traffic > ( traffic > view_e774982825t_unit > $o ) > cars > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_196,type,
sK94: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_197,type,
sK95: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_198,type,
sK96: ( nat_int > view_e774982825t_unit ) > nat_int ).
thf(func_def_199,type,
sK97: ( nat_int > view_e774982825t_unit ) > nat_int ).
thf(func_def_200,type,
sK98: traffic > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > cars ).
thf(func_def_201,type,
sK99: ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_202,type,
sK100: ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_203,type,
sK101: ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_204,type,
sK102: ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_205,type,
sK103: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_206,type,
sK104: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_207,type,
sK105: ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_208,type,
sK106: ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_209,type,
sK107: view_e774982825t_unit > cars > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_210,type,
sK108: view_e774982825t_unit > cars > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_212,type,
ph110:
!>[X0: $tType] : X0 ).
thf(f1995,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f1534,f1539,f1549,f1554,f1988,f1994]) ).
thf(f1994,plain,
( ~ spl109_4
| spl109_10 ),
inference(avatar_contradiction_clause,[status(thm)],[f1993]) ).
thf(f1993,plain,
( $false
| ~ spl109_4
| spl109_10 ),
inference(subsumption_resolution,[status(thm)],[f1992,f1392]) ).
thf(f1392,plain,
! [X0: traffic] :
( ( abstract @ X0 @ X0 )
= $true ),
inference(cnf_transformation,[status(thm)],[f924]) ).
thf(f924,plain,
! [X0: traffic] :
( ( abstract @ X0 @ X0 )
= $true ),
inference(fool_elimination,[status(thm)],[f923]) ).
thf(f923,plain,
! [X0: traffic] : ( abstract @ X0 @ X0 ),
inference(rectify,[status(thm)],[f38]) ).
thf(f38,axiom,
! [X7: traffic] : ( abstract @ X7 @ X7 ),
file('/export/starexec/sandbox2/tmp/tmp.uW4OZqnaXn/DTF2THF_27276.p',fact_37_traffic_Oabstract_Orefl) ).
thf(f1992,plain,
( ( ( abstract @ ts_a @ ts_a )
!= $true )
| ~ spl109_4
| spl109_10 ),
inference(trivial_inequality_removal,[status(thm)],[f1989]) ).
thf(f1989,plain,
( ( ( abstract @ ts_a @ ts_a )
!= $true )
| ( $true != $true )
| ~ spl109_4
| spl109_10 ),
inference(superposition,[status(thm)],[f1980,f1641]) ).
thf(f1641,plain,
( ! [X0: traffic] :
( ( ( abstract @ X0 @ ts )
= $true )
| ( ( abstract @ X0 @ ts_a )
!= $true ) )
| ~ spl109_4 ),
inference(trivial_inequality_removal,[status(thm)],[f1639]) ).
thf(f1639,plain,
( ! [X0: traffic] :
( ( ( abstract @ X0 @ ts )
= $true )
| ( $true != $true )
| ( ( abstract @ X0 @ ts_a )
!= $true ) )
| ~ spl109_4 ),
inference(superposition,[status(thm)],[f1356,f1548]) ).
thf(f1548,plain,
( ( ( create_reservation @ ts_a @ sK68 @ ts )
= $true )
| ~ spl109_4 ),
inference(avatar_component_clause,[status(thm)],[f1546]) ).
thf(f1546,definition,
( spl109_4
<=> ( ( create_reservation @ ts_a @ sK68 @ ts )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl109_4])],[avatar_definition]) ).
thf(f1356,plain,
! [X2: traffic,X3: cars,X0: traffic,X1: traffic] :
( ( ( create_reservation @ X0 @ X3 @ X2 )
!= $true )
| ( ( abstract @ X1 @ X0 )
!= $true )
| ( ( abstract @ X1 @ X2 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f1120]) ).
thf(f1120,plain,
! [X0: traffic,X1: traffic,X2: traffic] :
( ! [X3: cars] :
( ( create_reservation @ X0 @ X3 @ X2 )
!= $true )
| ( ( abstract @ X1 @ X0 )
!= $true )
| ( ( abstract @ X1 @ X2 )
= $true ) ),
inference(flattening,[status(thm)],[f1119]) ).
thf(f1119,plain,
! [X0: traffic,X1: traffic,X2: traffic] :
( ( ( abstract @ X1 @ X2 )
= $true )
| ! [X3: cars] :
( ( create_reservation @ X0 @ X3 @ X2 )
!= $true )
| ( ( abstract @ X1 @ X0 )
!= $true ) ),
inference(ennf_transformation,[status(thm)],[f598]) ).
thf(f598,plain,
! [X0: traffic,X1: traffic,X2: traffic] :
( ( ( abstract @ X1 @ X0 )
= $true )
=> ( ? [X3: cars] :
( ( create_reservation @ X0 @ X3 @ X2 )
= $true )
=> ( ( abstract @ X1 @ X2 )
= $true ) ) ),
inference(fool_elimination,[status(thm)],[f597]) ).
thf(f597,plain,
! [X0: traffic,X1: traffic,X2: traffic] :
( ( abstract @ X1 @ X0 )
=> ( ? [X3: cars] : ( create_reservation @ X0 @ X3 @ X2 )
=> ( abstract @ X1 @ X2 ) ) ),
inference(rectify,[status(thm)],[f30]) ).
thf(f30,axiom,
! [X13: traffic,X7: traffic,X14: traffic] :
( ( abstract @ X7 @ X13 )
=> ( ? [X39: cars] : ( create_reservation @ X13 @ X39 @ X14 )
=> ( abstract @ X7 @ X14 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.uW4OZqnaXn/DTF2THF_27276.p',fact_29_traffic_Ocr__res) ).
thf(f1980,plain,
( ( ( abstract @ ts_a @ ts )
!= $true )
| spl109_10 ),
inference(avatar_component_clause,[status(thm)],[f1978]) ).
thf(f1978,definition,
( spl109_10
<=> ( ( abstract @ ts_a @ ts )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl109_10])],[avatar_definition]) ).
thf(f1988,plain,
( ~ spl109_10
| ~ spl109_1
| ~ spl109_2
| spl109_5 ),
inference(avatar_split_clause,[status(thm)],[f1987,f1551,f1536,f1531,f1978]) ).
thf(f1531,definition,
( spl109_1
<=> ( ( move @ ts3 @ ts_a @ v )
= ( move @ ts_a @ ts @ ( move @ ts3 @ ts_a @ v ) ) ) ),
introduced(definition,[new_symbols(naming,[spl109_1])],[avatar_definition]) ).
thf(f1536,definition,
( spl109_2
<=> ( ( abstract @ ts3 @ ts_a )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl109_2])],[avatar_definition]) ).
thf(f1551,definition,
( spl109_5
<=> ( ( move @ ts3 @ ts_a @ v )
= ( move @ ts3 @ ts @ v ) ) ),
introduced(definition,[new_symbols(naming,[spl109_5])],[avatar_definition]) ).
thf(f1987,plain,
( ( ( abstract @ ts_a @ ts )
!= $true )
| ~ spl109_1
| ~ spl109_2
| spl109_5 ),
inference(subsumption_resolution,[status(thm)],[f1986,f1538]) ).
thf(f1538,plain,
( ( ( abstract @ ts3 @ ts_a )
= $true )
| ~ spl109_2 ),
inference(avatar_component_clause,[status(thm)],[f1536]) ).
thf(f1986,plain,
( ( ( abstract @ ts_a @ ts )
!= $true )
| ( ( abstract @ ts3 @ ts_a )
!= $true )
| ~ spl109_1
| spl109_5 ),
inference(subsumption_resolution,[status(thm)],[f1969,f1553]) ).
thf(f1553,plain,
( ( ( move @ ts3 @ ts_a @ v )
!= ( move @ ts3 @ ts @ v ) )
| spl109_5 ),
inference(avatar_component_clause,[status(thm)],[f1551]) ).
thf(f1969,plain,
( ( ( move @ ts3 @ ts_a @ v )
= ( move @ ts3 @ ts @ v ) )
| ( ( abstract @ ts3 @ ts_a )
!= $true )
| ( ( abstract @ ts_a @ ts )
!= $true )
| ~ spl109_1 ),
inference(superposition,[status(thm)],[f1386,f1533]) ).
thf(f1533,plain,
( ( ( move @ ts3 @ ts_a @ v )
= ( move @ ts_a @ ts @ ( move @ ts3 @ ts_a @ v ) ) )
| ~ spl109_1 ),
inference(avatar_component_clause,[status(thm)],[f1531]) ).
thf(f1386,plain,
! [X2: traffic,X3: traffic,X0: view_e774982825t_unit,X1: traffic] :
( ( ( move @ X2 @ X3 @ X0 )
= ( move @ X1 @ X3 @ ( move @ X2 @ X1 @ X0 ) ) )
| ( ( abstract @ X2 @ X1 )
!= $true )
| ( ( abstract @ X1 @ X3 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f1115]) ).
thf(f1115,plain,
! [X0: view_e774982825t_unit,X1: traffic,X2: traffic,X3: traffic] :
( ( ( abstract @ X2 @ X1 )
!= $true )
| ( ( move @ X2 @ X3 @ X0 )
= ( move @ X1 @ X3 @ ( move @ X2 @ X1 @ X0 ) ) )
| ( ( abstract @ X1 @ X3 )
!= $true ) ),
inference(flattening,[status(thm)],[f1114]) ).
thf(f1114,plain,
! [X0: view_e774982825t_unit,X1: traffic,X2: traffic,X3: traffic] :
( ( ( move @ X2 @ X3 @ X0 )
= ( move @ X1 @ X3 @ ( move @ X2 @ X1 @ X0 ) ) )
| ( ( abstract @ X2 @ X1 )
!= $true )
| ( ( abstract @ X1 @ X3 )
!= $true ) ),
inference(ennf_transformation,[status(thm)],[f612]) ).
thf(f612,plain,
! [X0: view_e774982825t_unit,X1: traffic,X2: traffic,X3: traffic] :
( ( ( ( abstract @ X2 @ X1 )
= $true )
& ( ( abstract @ X1 @ X3 )
= $true ) )
=> ( ( move @ X2 @ X3 @ X0 )
= ( move @ X1 @ X3 @ ( move @ X2 @ X1 @ X0 ) ) ) ),
inference(fool_elimination,[status(thm)],[f611]) ).
thf(f611,plain,
! [X0: view_e774982825t_unit,X1: traffic,X2: traffic,X3: traffic] :
( ( ( abstract @ X2 @ X1 )
& ( abstract @ X1 @ X3 ) )
=> ( ( move @ X2 @ X3 @ X0 )
= ( move @ X1 @ X3 @ ( move @ X2 @ X1 @ X0 ) ) ) ),
inference(rectify,[status(thm)],[f11]) ).
thf(f11,axiom,
! [X8: view_e774982825t_unit,X13: traffic,X7: traffic,X14: traffic] :
( ( ( abstract @ X7 @ X13 )
& ( abstract @ X13 @ X14 ) )
=> ( ( move @ X13 @ X14 @ ( move @ X7 @ X13 @ X8 ) )
= ( move @ X7 @ X14 @ X8 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.uW4OZqnaXn/DTF2THF_27276.p',fact_10_traffic_Omove__trans) ).
thf(f1554,plain,
~ spl109_5,
inference(avatar_split_clause,[status(thm)],[f1343,f1551]) ).
thf(f1343,plain,
( ( move @ ts3 @ ts_a @ v )
!= ( move @ ts3 @ ts @ v ) ),
inference(cnf_transformation,[status(thm)],[f1017]) ).
thf(f1017,plain,
( ( move @ ts3 @ ts_a @ v )
!= ( move @ ts3 @ ts @ v ) ),
inference(flattening,[status(thm)],[f359]) ).
thf(f359,negated_conjecture,
( ( move @ ts3 @ ts_a @ v )
!= ( move @ ts3 @ ts @ v ) ),
inference(negated_conjecture,[status(cth)],[f358]) ).
thf(f358,conjecture,
( ( move @ ts3 @ ts_a @ v )
= ( move @ ts3 @ ts @ v ) ),
file('/export/starexec/sandbox2/tmp/tmp.uW4OZqnaXn/DTF2THF_27276.p',conj_0) ).
thf(f1549,plain,
spl109_4,
inference(avatar_split_clause,[status(thm)],[f1438,f1546]) ).
thf(f1438,plain,
( ( create_reservation @ ts_a @ sK68 @ ts )
= $true ),
inference(cnf_transformation,[status(thm)],[f1240]) ).
thf(f1240,plain,
( ( create_reservation @ ts_a @ sK68 @ ts )
= $true ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK68])],[f806,f1239]) ).
thf(f1239,plain,
( ? [X0: cars] :
( ( create_reservation @ ts_a @ X0 @ ts )
= $true )
=> ( ( create_reservation @ ts_a @ sK68 @ ts )
= $true ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f806,plain,
? [X0: cars] :
( ( create_reservation @ ts_a @ X0 @ ts )
= $true ),
inference(fool_elimination,[status(thm)],[f805]) ).
thf(f805,plain,
? [X0: cars] : ( create_reservation @ ts_a @ X0 @ ts ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
? [X0: cars] : ( create_reservation @ ts_a @ X0 @ ts ),
file('/export/starexec/sandbox2/tmp/tmp.uW4OZqnaXn/DTF2THF_27276.p',fact_1_cr__res_Ohyps_I2_J) ).
thf(f1539,plain,
spl109_2,
inference(avatar_split_clause,[status(thm)],[f1400,f1536]) ).
thf(f1400,plain,
( ( abstract @ ts3 @ ts_a )
= $true ),
inference(cnf_transformation,[status(thm)],[f978]) ).
thf(f978,plain,
( ( abstract @ ts3 @ ts_a )
= $true ),
inference(fool_elimination,[status(thm)],[f977]) ).
thf(f977,plain,
abstract @ ts3 @ ts_a,
inference(rectify,[status(thm)],[f1]) ).
thf(f1,axiom,
abstract @ ts3 @ ts_a,
file('/export/starexec/sandbox2/tmp/tmp.uW4OZqnaXn/DTF2THF_27276.p',fact_0_cr__res_Ohyps_I1_J) ).
thf(f1534,plain,
spl109_1,
inference(avatar_split_clause,[status(thm)],[f1379,f1531]) ).
thf(f1379,plain,
( ( move @ ts3 @ ts_a @ v )
= ( move @ ts_a @ ts @ ( move @ ts3 @ ts_a @ v ) ) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
thf(f6,axiom,
( ( move @ ts3 @ ts_a @ v )
= ( move @ ts_a @ ts @ ( move @ ts3 @ ts_a @ v ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.uW4OZqnaXn/DTF2THF_27276.p',fact_5__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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP168^1 : TPTP v9.2.1. Released v7.5.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.34 % Computer : n028.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 08:36:57 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.29/0.46 ---- Original DTF file ---
% 0.29/0.46 thf(spec,logic,$$dhol).
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 % File : ITP168^1 : TPTP v9.2.1. Released v7.5.0.
% 0.29/0.46 % Domain : Interactive Theorem Proving
% 0.29/0.46 % Problem : Sledgehammer Safety_Regular problem prob_110__3347974_1
% 0.29/0.46 % Version : Especial.
% 0.29/0.46 % English :
% 0.29/0.46
% 0.29/0.46 % Refs : [BH+15] Blanchette et al. (2015), Mining the Archive of Formal
% 0.29/0.46 % : [Des21] Desharnais (2021), Email to Geoff Sutcliffe
% 0.29/0.46 % Source : [Des21]
% 0.29/0.46 % Names : Safety_Regular/prob_110__3347974_1 [Des21]
% 0.29/0.46
% 0.29/0.46 % Status : Theorem
% 0.29/0.46 % Rating : 0.11 v9.1.0, 0.12 v9.0.0, 0.30 v8.2.0, 0.23 v8.1.0, 0.18 v7.5.0
% 0.29/0.46 % Syntax : Number of formulae : 447 ( 124 unt; 89 typ; 0 def)
% 0.29/0.46 % Number of atoms : 1224 ( 307 equ; 0 cnn)
% 0.29/0.46 % Maximal formula atoms : 12 ( 3 avg)
% 0.29/0.46 % Number of connectives : 3835 ( 77 ~; 27 |; 178 &;2950 @)
% 0.29/0.46 % ( 0 <=>; 603 =>; 0 <=; 0 <~>)
% 0.29/0.46 % Maximal formula depth : 22 ( 8 avg)
% 0.29/0.46 % Number of types : 13 ( 12 usr)
% 0.29/0.46 % Number of type conns : 347 ( 347 >; 0 *; 0 +; 0 <<)
% 0.29/0.46 % Number of symbols : 80 ( 77 usr; 12 con; 0-5 aty)
% 0.29/0.46 % Number of variables : 1382 ( 134 ^;1140 !; 108 ?;1382 :)
% 0.29/0.46 % SPC : TH0_THM_EQU_NAR
% 0.29/0.46
% 0.29/0.46 % Comments : This file was generated by Sledgehammer 2021-02-23 15:36:43.643
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 % Could-be-implicit typings (12)
% 0.29/0.46 thf(ty_n_t__Views__Oview__Oview____ext_It__Views__Oview__Oview____ext_It__Product____Type__Ounit_J_J,type,
% 0.29/0.46 view_e665166499t_unit: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Views__Oview__Oview____ext_It__Product____Type__Ounit_J,type,
% 0.29/0.46 view_e774982825t_unit: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Views__Oview__Oview____ext_It__RealInt__Oreal____int_J,type,
% 0.29/0.46 view_ext_real_int: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Views__Oview__Oview____ext_It__NatInt__Onat____int_J,type,
% 0.29/0.46 view_ext_nat_int: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Views__Oview__Oview____ext_It__Nat__Onat_J,type,
% 0.29/0.46 view_ext_nat: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Product____Type__Ounit,type,
% 0.29/0.46 product_unit: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__RealInt__Oreal____int,type,
% 0.29/0.46 real_int: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__NatInt__Onat____int,type,
% 0.29/0.46 nat_int: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Traffic__Otraffic,type,
% 0.29/0.46 traffic: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Real__Oreal,type,
% 0.29/0.46 real: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Cars__Ocars,type,
% 0.29/0.46 cars: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(ty_n_t__Nat__Onat,type,
% 0.29/0.46 nat: $tType ).
% 0.29/0.46
% 0.29/0.46 % Explicit typings (77)
% 0.29/0.46 thf(sy_c_Fun_Ofun__upd_001t__Cars__Ocars_001_062_It__Real__Oreal_Mt__Real__Oreal_J,type,
% 0.29/0.46 fun_up1431237090l_real: ( cars > real > real ) > cars > ( real > real ) > cars > real > real ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Fun_Ofun__upd_001t__Cars__Ocars_001t__NatInt__Onat____int,type,
% 0.29/0.46 fun_upd_cars_nat_int: ( cars > nat_int ) > cars > nat_int > cars > nat_int ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal,type,
% 0.29/0.46 minus_minus_real: real > real > real ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_HOL_Odefault__class_Odefault_001t__Product____Type__Ounit,type,
% 0.29/0.46 defaul1399868459t_unit: product_unit ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_If_001_062_It__Real__Oreal_Mt__Real__Oreal_J,type,
% 0.29/0.46 if_real_real: $o > ( real > real ) > ( real > real ) > real > real ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_If_001t__NatInt__Onat____int,type,
% 0.29/0.46 if_nat_int: $o > nat_int > nat_int > nat_int ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Move_Otraffic_Omove,type,
% 0.29/0.46 move: traffic > traffic > view_e774982825t_unit > view_e774982825t_unit ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_NatInt_Onat__int_ON__Chop,type,
% 0.29/0.46 nat_N_Chop: nat_int > nat_int > nat_int > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_NatInt_Onat__int_Ocard_H,type,
% 0.29/0.46 nat_card: nat_int > nat ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_NatInt_Onat__int_Oconsec,type,
% 0.29/0.46 nat_consec: nat_int > nat_int > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_NatInt_Onat__int_Onot__in,type,
% 0.29/0.46 nat_not_in: nat > nat_int > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_NatInt_Onat__int_Ounion,type,
% 0.29/0.46 nat_union: nat_int > nat_int > nat_int ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Orderings_Obot__class_Obot_001t__NatInt__Onat____int,type,
% 0.29/0.46 bot_bot_nat_int: nat_int ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat,type,
% 0.29/0.46 bot_bot_nat: nat ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Orderings_Obot__class_Obot_001t__Product____Type__Ounit,type,
% 0.29/0.46 bot_bot_Product_unit: product_unit ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Orderings_Oord__class_Oless_001t__NatInt__Onat____int,type,
% 0.29/0.46 ord_less_nat_int: nat_int > nat_int > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat,type,
% 0.29/0.46 ord_less_nat: nat > nat > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Orderings_Oord__class_Oless_001t__RealInt__Oreal____int,type,
% 0.29/0.46 ord_less_real_int: real_int > real_int > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Orderings_Oord__class_Oless_001t__Views__Oview__Oview____ext_It__NatInt__Onat____int_J,type,
% 0.29/0.46 ord_le893810930at_int: view_ext_nat_int > view_ext_nat_int > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Orderings_Oord__class_Oless_001t__Views__Oview__Oview____ext_It__Nat__Onat_J,type,
% 0.29/0.46 ord_le1522419062xt_nat: view_ext_nat > view_ext_nat > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Orderings_Oord__class_Oless_001t__Views__Oview__Oview____ext_It__Product____Type__Ounit_J,type,
% 0.29/0.46 ord_le1993783549t_unit: view_e774982825t_unit > view_e774982825t_unit > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Orderings_Oord__class_Oless_001t__Views__Oview__Oview____ext_It__RealInt__Oreal____int_J,type,
% 0.29/0.46 ord_le147108278al_int: view_ext_real_int > view_ext_real_int > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Orderings_Oord__class_Oless_001t__Views__Oview__Oview____ext_It__Views__Oview__Oview____ext_It__Product____Type__Ounit_J_J,type,
% 0.29/0.46 ord_le750644047t_unit: view_e665166499t_unit > view_e665166499t_unit > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__NatInt__Onat____int,type,
% 0.29/0.46 ord_less_eq_nat_int: nat_int > nat_int > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat,type,
% 0.29/0.46 ord_less_eq_nat: nat > nat > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Product____Type__Ounit,type,
% 0.29/0.46 ord_le1997193645t_unit: product_unit > product_unit > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__RealInt__Oreal____int,type,
% 0.29/0.46 ord_less_eq_real_int: real_int > real_int > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal,type,
% 0.29/0.46 ord_less_eq_real: real > real > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Views__Oview__Oview____ext_It__NatInt__Onat____int_J,type,
% 0.29/0.46 ord_le1902160870at_int: view_ext_nat_int > view_ext_nat_int > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Views__Oview__Oview____ext_It__Nat__Onat_J,type,
% 0.29/0.46 ord_le1036425834xt_nat: view_ext_nat > view_ext_nat > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Views__Oview__Oview____ext_It__Product____Type__Ounit_J,type,
% 0.29/0.46 ord_le461438217t_unit: view_e774982825t_unit > view_e774982825t_unit > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Views__Oview__Oview____ext_It__RealInt__Oreal____int_J,type,
% 0.29/0.46 ord_le1863101098al_int: view_ext_real_int > view_ext_real_int > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Views__Oview__Oview____ext_It__Views__Oview__Oview____ext_It__Product____Type__Ounit_J_J,type,
% 0.29/0.46 ord_le63244867t_unit: view_e665166499t_unit > view_e665166499t_unit > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Product__Type_OUnity,type,
% 0.29/0.46 product_Unity: product_unit ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_RealInt_Oreal__int_OR__Chop,type,
% 0.29/0.46 real_R_Chop: real_int > real_int > real_int > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_RealInt_Oreal__int_Oshift,type,
% 0.29/0.46 real_shift: real_int > real > real_int ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Traffic_Otraffic_Oabstract,type,
% 0.29/0.46 abstract: traffic > traffic > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Traffic_Otraffic_Obraking__distance,type,
% 0.29/0.46 braking_distance: traffic > cars > real ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Traffic_Otraffic_Ochange__dyn,type,
% 0.29/0.46 change_dyn: traffic > cars > ( real > real ) > traffic > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Traffic_Otraffic_Oclm,type,
% 0.29/0.46 clm: traffic > cars > nat_int ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Traffic_Otraffic_Ocreate__claim,type,
% 0.29/0.46 create_claim: traffic > cars > nat > traffic > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Traffic_Otraffic_Ocreate__reservation,type,
% 0.29/0.46 create_reservation: traffic > cars > traffic > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Traffic_Otraffic_Odyn,type,
% 0.29/0.46 dyn: traffic > cars > real > real ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Traffic_Otraffic_Oevolve,type,
% 0.29/0.46 evolve: traffic > traffic > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Traffic_Otraffic_Ophysical__size,type,
% 0.29/0.46 physical_size: traffic > cars > real ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Traffic_Otraffic_Opos,type,
% 0.29/0.46 pos: traffic > cars > real ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Traffic_Otraffic_Ores,type,
% 0.29/0.46 res: traffic > cars > nat_int ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Traffic_Otraffic_Owithdraw__claim,type,
% 0.29/0.46 withdraw_claim: traffic > cars > traffic > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Traffic_Otraffic_Owithdraw__reservation,type,
% 0.29/0.46 withdraw_reservation: traffic > cars > nat > traffic > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Views_Oview_Oext_001t__NatInt__Onat____int,type,
% 0.29/0.46 ext_nat_int: view_ext_nat_int > real_int ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Views_Oview_Oext_001t__Nat__Onat,type,
% 0.29/0.46 ext_nat: view_ext_nat > real_int ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Views_Oview_Oext_001t__Product____Type__Ounit,type,
% 0.29/0.46 ext_Product_unit: view_e774982825t_unit > real_int ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Views_Oview_Oext_001t__RealInt__Oreal____int,type,
% 0.29/0.46 ext_real_int: view_ext_real_int > real_int ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Views_Oview_Oext_001t__Views__Oview__Oview____ext_It__Product____Type__Ounit_J,type,
% 0.29/0.46 ext_vi2102772532t_unit: view_e665166499t_unit > real_int ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Views_Oview_Ohchop,type,
% 0.29/0.46 hchop: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Views_Oview_Olan_001t__NatInt__Onat____int,type,
% 0.29/0.46 lan_nat_int: view_ext_nat_int > nat_int ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Views_Oview_Olan_001t__Nat__Onat,type,
% 0.29/0.46 lan_nat: view_ext_nat > nat_int ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Views_Oview_Olan_001t__Product____Type__Ounit,type,
% 0.29/0.46 lan_Product_unit: view_e774982825t_unit > nat_int ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Views_Oview_Olan_001t__RealInt__Oreal____int,type,
% 0.29/0.46 lan_real_int: view_ext_real_int > nat_int ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Views_Oview_Olan_001t__Views__Oview__Oview____ext_It__Product____Type__Ounit_J,type,
% 0.29/0.46 lan_vi1543476748t_unit: view_e665166499t_unit > nat_int ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Views_Oview_Omore_001t__NatInt__Onat____int,type,
% 0.29/0.46 more_nat_int: view_ext_nat_int > nat_int ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Views_Oview_Omore_001t__Nat__Onat,type,
% 0.29/0.46 more_nat: view_ext_nat > nat ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Views_Oview_Omore_001t__Product____Type__Ounit,type,
% 0.29/0.46 more_Product_unit: view_e774982825t_unit > product_unit ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Views_Oview_Omore_001t__RealInt__Oreal____int,type,
% 0.29/0.46 more_real_int: view_ext_real_int > real_int ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Views_Oview_Omore_001t__Views__Oview__Oview____ext_It__Product____Type__Ounit_J,type,
% 0.29/0.46 more_v92543030t_unit: view_e665166499t_unit > view_e774982825t_unit ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Views_Oview_Oown_001t__NatInt__Onat____int,type,
% 0.29/0.46 own_nat_int: view_ext_nat_int > cars ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Views_Oview_Oown_001t__Nat__Onat,type,
% 0.29/0.46 own_nat: view_ext_nat > cars ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Views_Oview_Oown_001t__Product____Type__Ounit,type,
% 0.29/0.46 own_Product_unit: view_e774982825t_unit > cars ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Views_Oview_Oown_001t__RealInt__Oreal____int,type,
% 0.29/0.46 own_real_int: view_ext_real_int > cars ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Views_Oview_Oown_001t__Views__Oview__Oview____ext_It__Product____Type__Ounit_J,type,
% 0.29/0.46 own_vi676290681t_unit: view_e665166499t_unit > cars ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Views_Oview_Oswitch,type,
% 0.29/0.46 switch: view_e774982825t_unit > cars > view_e774982825t_unit > $o ).
% 0.29/0.46
% 0.29/0.46 thf(sy_c_Views_Oview_Oview__ext_001t__Product____Type__Ounit,type,
% 0.29/0.46 view_e912666823t_unit: real_int > nat_int > cars > product_unit > view_e774982825t_unit ).
% 0.29/0.46
% 0.29/0.46 thf(sy_v_ts_H_H____,type,
% 0.29/0.46 ts: traffic ).
% 0.29/0.46
% 0.29/0.46 thf(sy_v_ts_H____,type,
% 0.29/0.46 ts2: traffic ).
% 0.29/0.46
% 0.29/0.46 thf(sy_v_ts_Ha____,type,
% 0.29/0.46 ts_a: traffic ).
% 0.29/0.46
% 0.29/0.46 thf(sy_v_ts____,type,
% 0.29/0.46 ts3: traffic ).
% 0.29/0.46
% 0.29/0.46 thf(sy_v_v____,type,
% 0.29/0.46 v: view_e774982825t_unit ).
% 0.29/0.46
% 0.29/0.46 % Relevant facts (352)
% 0.29/0.46 thf(fact_0_cr__res_Ohyps_I1_J,axiom,
% 0.29/0.46 abstract @ ts3 @ ts_a ).
% 0.29/0.46
% 0.29/0.46 % cr_res.hyps(1)
% 0.29/0.46 thf(fact_1_cr__res_Ohyps_I2_J,axiom,
% 0.29/0.46 ? [C: cars] : ( create_reservation @ ts_a @ C @ ts ) ).
% 0.29/0.46
% 0.29/0.46 % cr_res.hyps(2)
% 0.29/0.46 thf(fact_2_local_Ohmlsl_Oglobally__4,axiom,
% 0.29/0.46 ! [Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 0.29/0.46 ( ! [Ts2: traffic] :
% 0.29/0.46 ( ( abstract @ Ts @ Ts2 )
% 0.29/0.46 => ( Phi @ Ts2 @ ( move @ Ts @ Ts2 @ V ) ) )
% 0.29/0.46 => ! [Ts3: traffic] :
% 0.29/0.46 ( ( abstract @ Ts @ Ts3 )
% 0.29/0.46 => ! [Ts_a: traffic] :
% 0.29/0.46 ( ( abstract @ Ts3 @ Ts_a )
% 0.29/0.46 => ( Phi @ Ts_a @ ( move @ Ts3 @ Ts_a @ ( move @ Ts @ Ts3 @ V ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.globally_4
% 0.29/0.46 thf(fact_3_local_Ohmlsl_Oglobally__refl,axiom,
% 0.29/0.46 ! [Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 0.29/0.46 ( ! [Ts2: traffic] :
% 0.29/0.46 ( ( abstract @ Ts @ Ts2 )
% 0.29/0.46 => ( Phi @ Ts2 @ ( move @ Ts @ Ts2 @ V ) ) )
% 0.29/0.46 => ( Phi @ Ts @ V ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.globally_refl
% 0.29/0.46 thf(fact_4_abs,axiom,
% 0.29/0.46 abstract @ ts3 @ ts2 ).
% 0.29/0.46
% 0.29/0.46 % abs
% 0.29/0.46 thf(fact_5__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,axiom,
% 0.29/0.46 ( ( move @ ts3 @ ts_a @ v )
% 0.29/0.46 = ( move @ ts_a @ ts @ ( move @ ts3 @ ts_a @ v ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % \<open>move ts ts' v = move ts' ts'' (move ts ts' v)\<close>
% 0.29/0.46 thf(fact_6_traffic_Omove__nothing,axiom,
% 0.29/0.46 ! [Ts4: traffic,V2: view_e774982825t_unit] :
% 0.29/0.46 ( ( move @ Ts4 @ Ts4 @ V2 )
% 0.29/0.46 = V2 ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.move_nothing
% 0.29/0.46 thf(fact_7_traffic_Omove__def,axiom,
% 0.29/0.46 ( move
% 0.29/0.46 = ( ^ [Ts5: traffic,Ts6: traffic,V3: view_e774982825t_unit] : ( view_e912666823t_unit @ ( real_shift @ ( ext_Product_unit @ V3 ) @ ( minus_minus_real @ ( pos @ Ts6 @ ( own_Product_unit @ V3 ) ) @ ( pos @ Ts5 @ ( own_Product_unit @ V3 ) ) ) ) @ ( lan_Product_unit @ V3 ) @ ( own_Product_unit @ V3 ) @ product_Unity ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.move_def
% 0.29/0.46 thf(fact_8_traffic_Omove__stability__res,axiom,
% 0.29/0.46 ! [Ts4: traffic,C2: cars,Ts7: traffic,V2: view_e774982825t_unit] :
% 0.29/0.46 ( ( create_reservation @ Ts4 @ C2 @ Ts7 )
% 0.29/0.46 => ( ( move @ Ts4 @ Ts7 @ V2 )
% 0.29/0.46 = V2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.move_stability_res
% 0.29/0.46 thf(fact_9_traffic_Omove__keeps__owner,axiom,
% 0.29/0.46 ! [Ts4: traffic,Ts7: traffic] :
% 0.29/0.46 ( own_Product_unit
% 0.29/0.46 = ( ^ [V3: view_e774982825t_unit] : ( own_Product_unit @ ( move @ Ts4 @ Ts7 @ V3 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.move_keeps_owner
% 0.29/0.46 thf(fact_10_traffic_Omove__trans,axiom,
% 0.29/0.46 ! [Ts4: traffic,Ts7: traffic,Ts8: traffic,V2: view_e774982825t_unit] :
% 0.29/0.46 ( ( ( abstract @ Ts4 @ Ts7 )
% 0.29/0.46 & ( abstract @ Ts7 @ Ts8 ) )
% 0.29/0.46 => ( ( move @ Ts7 @ Ts8 @ ( move @ Ts4 @ Ts7 @ V2 ) )
% 0.29/0.46 = ( move @ Ts4 @ Ts8 @ V2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.move_trans
% 0.29/0.46 thf(fact_11_traffic_Omove__keeps__lanes,axiom,
% 0.29/0.46 ! [Ts4: traffic,Ts7: traffic] :
% 0.29/0.46 ( lan_Product_unit
% 0.29/0.46 = ( ^ [V3: view_e774982825t_unit] : ( lan_Product_unit @ ( move @ Ts4 @ Ts7 @ V3 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.move_keeps_lanes
% 0.29/0.46 thf(fact_12_traffic_Omove__stability__clm,axiom,
% 0.29/0.46 ! [Ts4: traffic,C2: cars,N: nat,Ts7: traffic,V2: view_e774982825t_unit] :
% 0.29/0.46 ( ( create_claim @ Ts4 @ C2 @ N @ Ts7 )
% 0.29/0.46 => ( ( move @ Ts4 @ Ts7 @ V2 )
% 0.29/0.46 = V2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.move_stability_clm
% 0.29/0.46 thf(fact_13_traffic_Omove__stability__wdc,axiom,
% 0.29/0.46 ! [Ts4: traffic,C2: cars,Ts7: traffic,V2: view_e774982825t_unit] :
% 0.29/0.46 ( ( withdraw_claim @ Ts4 @ C2 @ Ts7 )
% 0.29/0.46 => ( ( move @ Ts4 @ Ts7 @ V2 )
% 0.29/0.46 = V2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.move_stability_wdc
% 0.29/0.46 thf(fact_14_traffic_Omove__stability__wdr,axiom,
% 0.29/0.46 ! [Ts4: traffic,C2: cars,N: nat,Ts7: traffic,V2: view_e774982825t_unit] :
% 0.29/0.46 ( ( withdraw_reservation @ Ts4 @ C2 @ N @ Ts7 )
% 0.29/0.46 => ( ( move @ Ts4 @ Ts7 @ V2 )
% 0.29/0.46 = V2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.move_stability_wdr
% 0.29/0.46 thf(fact_15_local_Ohmlsl_Ohchop__assoc,axiom,
% 0.29/0.46 ! [Phi: traffic > view_e774982825t_unit > $o,Psi: traffic > view_e774982825t_unit > $o,Chi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 0.29/0.46 ( ( ? [W: view_e774982825t_unit,U: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ V @ W @ U )
% 0.29/0.46 & ( Phi @ Ts @ W )
% 0.29/0.46 & ? [X: view_e774982825t_unit,Y: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ U @ X @ Y )
% 0.29/0.46 & ( Psi @ Ts @ X )
% 0.29/0.46 & ( Chi @ Ts @ Y ) ) ) )
% 0.29/0.46 = ( ? [W: view_e774982825t_unit,U: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ V @ W @ U )
% 0.29/0.46 & ? [X: view_e774982825t_unit,Y: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ W @ X @ Y )
% 0.29/0.46 & ( Phi @ Ts @ X )
% 0.29/0.46 & ( Psi @ Ts @ Y ) )
% 0.29/0.46 & ( Chi @ Ts @ U ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.hchop_assoc
% 0.29/0.46 thf(fact_16_local_Ohmlsl_Ohchop__disj__distr1,axiom,
% 0.29/0.46 ! [Phi: traffic > view_e774982825t_unit > $o,Psi: traffic > view_e774982825t_unit > $o,Chi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 0.29/0.46 ( ( ? [W: view_e774982825t_unit,U: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ V @ W @ U )
% 0.29/0.46 & ( Phi @ Ts @ W )
% 0.29/0.46 & ( ( Psi @ Ts @ U )
% 0.29/0.46 | ( Chi @ Ts @ U ) ) ) )
% 0.29/0.46 = ( ? [W: view_e774982825t_unit,U: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ V @ W @ U )
% 0.29/0.46 & ( Phi @ Ts @ W )
% 0.29/0.46 & ( Psi @ Ts @ U ) )
% 0.29/0.46 | ? [W: view_e774982825t_unit,U: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ V @ W @ U )
% 0.29/0.46 & ( Phi @ Ts @ W )
% 0.29/0.46 & ( Chi @ Ts @ U ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.hchop_disj_distr1
% 0.29/0.46 thf(fact_17_local_Ohmlsl_Ohchop__disj__distr2,axiom,
% 0.29/0.46 ! [Psi: traffic > view_e774982825t_unit > $o,Chi: traffic > view_e774982825t_unit > $o,Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 0.29/0.46 ( ( ? [W: view_e774982825t_unit,U: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ V @ W @ U )
% 0.29/0.46 & ( ( Psi @ Ts @ W )
% 0.29/0.46 | ( Chi @ Ts @ W ) )
% 0.29/0.46 & ( Phi @ Ts @ U ) ) )
% 0.29/0.46 = ( ? [W: view_e774982825t_unit,U: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ V @ W @ U )
% 0.29/0.46 & ( Psi @ Ts @ W )
% 0.29/0.46 & ( Phi @ Ts @ U ) )
% 0.29/0.46 | ? [W: view_e774982825t_unit,U: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ V @ W @ U )
% 0.29/0.46 & ( Chi @ Ts @ W )
% 0.29/0.46 & ( Phi @ Ts @ U ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.hchop_disj_distr2
% 0.29/0.46 thf(fact_18_local_Ohmlsl_Ohchop__weaken2,axiom,
% 0.29/0.46 ! [Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 0.29/0.46 ( ( Phi @ Ts @ V )
% 0.29/0.46 => ? [Va: view_e774982825t_unit,U2: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ V @ Va @ U2 )
% 0.29/0.46 & ( Phi @ Ts @ U2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.hchop_weaken2
% 0.29/0.46 thf(fact_19_local_Ohmlsl_Ohchop__weaken1,axiom,
% 0.29/0.46 ! [Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 0.29/0.46 ( ( Phi @ Ts @ V )
% 0.29/0.46 => ? [Va: view_e774982825t_unit] :
% 0.29/0.46 ( ? [X_1: view_e774982825t_unit] : ( hchop @ V @ Va @ X_1 )
% 0.29/0.46 & ( Phi @ Ts @ Va ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.hchop_weaken1
% 0.29/0.46 thf(fact_20_local_Ohmlsl_Ohchop__weaken,axiom,
% 0.29/0.46 ! [Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 0.29/0.46 ( ( Phi @ Ts @ V )
% 0.29/0.46 => ? [Va: view_e774982825t_unit,U2: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ V @ Va @ U2 )
% 0.29/0.46 & ? [Vb: view_e774982825t_unit] :
% 0.29/0.46 ( ? [X_1: view_e774982825t_unit] : ( hchop @ U2 @ Vb @ X_1 )
% 0.29/0.46 & ( Phi @ Ts @ Vb ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.hchop_weaken
% 0.29/0.46 thf(fact_21_local_Ohmlsl_Ohchop__neg2,axiom,
% 0.29/0.46 ! [Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 0.29/0.46 ( ~ ? [Va: view_e774982825t_unit,U2: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ V @ Va @ U2 )
% 0.29/0.46 & ( Phi @ Ts @ U2 ) )
% 0.29/0.46 => ? [Va: view_e774982825t_unit,U2: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ V @ Va @ U2 )
% 0.29/0.46 & ~ ( Phi @ Ts @ U2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.hchop_neg2
% 0.29/0.46 thf(fact_22_local_Ohmlsl_Ohchop__neg1,axiom,
% 0.29/0.46 ! [Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 0.29/0.46 ( ~ ? [Va: view_e774982825t_unit] :
% 0.29/0.46 ( ? [X_1: view_e774982825t_unit] : ( hchop @ V @ Va @ X_1 )
% 0.29/0.46 & ( Phi @ Ts @ Va ) )
% 0.29/0.46 => ? [Va: view_e774982825t_unit] :
% 0.29/0.46 ( ? [X_1: view_e774982825t_unit] : ( hchop @ V @ Va @ X_1 )
% 0.29/0.46 & ~ ( Phi @ Ts @ Va ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.hchop_neg1
% 0.29/0.46 thf(fact_23_ext__inject,axiom,
% 0.29/0.46 ! [Ext: real_int,Lan: nat_int,Own: cars,More: product_unit,Ext2: real_int,Lan2: nat_int,Own2: cars,More2: product_unit] :
% 0.29/0.46 ( ( ( view_e912666823t_unit @ Ext @ Lan @ Own @ More )
% 0.29/0.46 = ( view_e912666823t_unit @ Ext2 @ Lan2 @ Own2 @ More2 ) )
% 0.29/0.46 = ( ( Ext = Ext2 )
% 0.29/0.46 & ( Lan = Lan2 )
% 0.29/0.46 & ( Own = Own2 )
% 0.29/0.46 & ( More = More2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ext_inject
% 0.29/0.46 thf(fact_24_cases,axiom,
% 0.29/0.46 ! [R: view_e774982825t_unit] :
% 0.29/0.46 ~ ! [Ext3: real_int,Lan3: nat_int,Own3: cars] :
% 0.29/0.46 ( R
% 0.29/0.46 != ( view_e912666823t_unit @ Ext3 @ Lan3 @ Own3 @ product_Unity ) ) ).
% 0.29/0.46
% 0.29/0.46 % cases
% 0.29/0.46 thf(fact_25_induct,axiom,
% 0.29/0.46 ! [P: view_e774982825t_unit > $o,R: view_e774982825t_unit] :
% 0.29/0.46 ( ! [Ext3: real_int,Lan3: nat_int,Own3: cars] : ( P @ ( view_e912666823t_unit @ Ext3 @ Lan3 @ Own3 @ product_Unity ) )
% 0.29/0.46 => ( P @ R ) ) ).
% 0.29/0.46
% 0.29/0.46 % induct
% 0.29/0.46 thf(fact_26_traffic_Ocr__clm,axiom,
% 0.29/0.46 ! [Ts4: traffic,Ts7: traffic,Ts8: traffic] :
% 0.29/0.46 ( ( abstract @ Ts4 @ Ts7 )
% 0.29/0.46 => ( ? [C3: cars,N2: nat] : ( create_claim @ Ts7 @ C3 @ N2 @ Ts8 )
% 0.29/0.46 => ( abstract @ Ts4 @ Ts8 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.cr_clm
% 0.29/0.46 thf(fact_27_traffic_Owd__clm,axiom,
% 0.29/0.46 ! [Ts4: traffic,Ts7: traffic,Ts8: traffic] :
% 0.29/0.46 ( ( abstract @ Ts4 @ Ts7 )
% 0.29/0.46 => ( ? [C3: cars] : ( withdraw_claim @ Ts7 @ C3 @ Ts8 )
% 0.29/0.46 => ( abstract @ Ts4 @ Ts8 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.wd_clm
% 0.29/0.46 thf(fact_28_traffic_Owd__res,axiom,
% 0.29/0.46 ! [Ts4: traffic,Ts7: traffic,Ts8: traffic] :
% 0.29/0.46 ( ( abstract @ Ts4 @ Ts7 )
% 0.29/0.46 => ( ? [C3: cars,N2: nat] : ( withdraw_reservation @ Ts7 @ C3 @ N2 @ Ts8 )
% 0.29/0.46 => ( abstract @ Ts4 @ Ts8 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.wd_res
% 0.29/0.46 thf(fact_29_traffic_Ocr__res,axiom,
% 0.29/0.46 ! [Ts4: traffic,Ts7: traffic,Ts8: traffic] :
% 0.29/0.46 ( ( abstract @ Ts4 @ Ts7 )
% 0.29/0.46 => ( ? [C3: cars] : ( create_reservation @ Ts7 @ C3 @ Ts8 )
% 0.29/0.46 => ( abstract @ Ts4 @ Ts8 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.cr_res
% 0.29/0.46 thf(fact_30_select__convs_I3_J,axiom,
% 0.29/0.46 ! [Ext: real_int,Lan: nat_int,Own: cars,More: product_unit] :
% 0.29/0.46 ( ( own_Product_unit @ ( view_e912666823t_unit @ Ext @ Lan @ Own @ More ) )
% 0.29/0.46 = Own ) ).
% 0.29/0.46
% 0.29/0.46 % select_convs(3)
% 0.29/0.46 thf(fact_31_select__convs_I2_J,axiom,
% 0.29/0.46 ! [Ext: real_int,Lan: nat_int,Own: cars,More: product_unit] :
% 0.29/0.46 ( ( lan_Product_unit @ ( view_e912666823t_unit @ Ext @ Lan @ Own @ More ) )
% 0.29/0.46 = Lan ) ).
% 0.29/0.46
% 0.29/0.46 % select_convs(2)
% 0.29/0.46 thf(fact_32_view_Ohorizontal__chop__empty__right,axiom,
% 0.29/0.46 ! [V: view_e774982825t_unit] :
% 0.29/0.46 ? [X_1: view_e774982825t_unit] : ( hchop @ V @ V @ X_1 ) ).
% 0.29/0.46
% 0.29/0.46 % view.horizontal_chop_empty_right
% 0.29/0.46 thf(fact_33_view_Ohorizontal__chop__empty__left,axiom,
% 0.29/0.46 ! [V: view_e774982825t_unit] :
% 0.29/0.46 ? [U2: view_e774982825t_unit] : ( hchop @ V @ U2 @ V ) ).
% 0.29/0.46
% 0.29/0.46 % view.horizontal_chop_empty_left
% 0.29/0.46 thf(fact_34_view_Ohorizontal__chop__assoc2,axiom,
% 0.29/0.46 ! [V2: view_e774982825t_unit,V1: view_e774982825t_unit,V22: view_e774982825t_unit,V32: view_e774982825t_unit,V4: view_e774982825t_unit] :
% 0.29/0.46 ( ( ( hchop @ V2 @ V1 @ V22 )
% 0.29/0.46 & ( hchop @ V1 @ V32 @ V4 ) )
% 0.29/0.46 => ? [V5: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ V2 @ V32 @ V5 )
% 0.29/0.46 & ( hchop @ V5 @ V4 @ V22 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % view.horizontal_chop_assoc2
% 0.29/0.46 thf(fact_35_view_Ohorizontal__chop__assoc1,axiom,
% 0.29/0.46 ! [V2: view_e774982825t_unit,V1: view_e774982825t_unit,V22: view_e774982825t_unit,V32: view_e774982825t_unit,V4: view_e774982825t_unit] :
% 0.29/0.46 ( ( ( hchop @ V2 @ V1 @ V22 )
% 0.29/0.46 & ( hchop @ V22 @ V32 @ V4 ) )
% 0.29/0.46 => ? [V5: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ V2 @ V5 @ V4 )
% 0.29/0.46 & ( hchop @ V5 @ V1 @ V32 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % view.horizontal_chop_assoc1
% 0.29/0.46 thf(fact_36_view_Ohorizontal__chop1,axiom,
% 0.29/0.46 ! [V2: view_e774982825t_unit] :
% 0.29/0.46 ? [U2: view_e774982825t_unit,X_1: view_e774982825t_unit] : ( hchop @ V2 @ U2 @ X_1 ) ).
% 0.29/0.46
% 0.29/0.46 % view.horizontal_chop1
% 0.29/0.46 thf(fact_37_traffic_Oabstract_Orefl,axiom,
% 0.29/0.46 ! [Ts4: traffic] : ( abstract @ Ts4 @ Ts4 ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.abstract.refl
% 0.29/0.46 thf(fact_38_traffic_Oabs__trans,axiom,
% 0.29/0.46 ! [Ts1: traffic,Ts22: traffic,Ts0: traffic] :
% 0.29/0.46 ( ( abstract @ Ts1 @ Ts22 )
% 0.29/0.46 => ( ( abstract @ Ts0 @ Ts1 )
% 0.29/0.46 => ( abstract @ Ts0 @ Ts22 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.abs_trans
% 0.29/0.46 thf(fact_39_induct__scheme,axiom,
% 0.29/0.46 ! [P: view_e774982825t_unit > $o,R: view_e774982825t_unit] :
% 0.29/0.46 ( ! [Ext3: real_int,Lan3: nat_int,Own3: cars,More3: product_unit] : ( P @ ( view_e912666823t_unit @ Ext3 @ Lan3 @ Own3 @ More3 ) )
% 0.29/0.46 => ( P @ R ) ) ).
% 0.29/0.46
% 0.29/0.46 % induct_scheme
% 0.29/0.46 thf(fact_40_cases__scheme,axiom,
% 0.29/0.46 ! [R: view_e774982825t_unit] :
% 0.29/0.46 ~ ! [Ext3: real_int,Lan3: nat_int,Own3: cars,More3: product_unit] :
% 0.29/0.46 ( R
% 0.29/0.46 != ( view_e912666823t_unit @ Ext3 @ Lan3 @ Own3 @ More3 ) ) ).
% 0.29/0.46
% 0.29/0.46 % cases_scheme
% 0.29/0.46 thf(fact_41_traffic_Oalways__create__res,axiom,
% 0.29/0.46 ! [C2: cars,Ts: traffic] :
% 0.29/0.46 ? [X_1: traffic] : ( create_reservation @ Ts @ C2 @ X_1 ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.always_create_res
% 0.29/0.46 thf(fact_42_view_Ohorizontal__chop__own__trans,axiom,
% 0.29/0.46 ! [V2: view_e774982825t_unit,U3: view_e774982825t_unit,W2: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ V2 @ U3 @ W2 )
% 0.29/0.46 => ( ( own_Product_unit @ U3 )
% 0.29/0.46 = ( own_Product_unit @ W2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % view.horizontal_chop_own_trans
% 0.29/0.46 thf(fact_43_select__convs_I1_J,axiom,
% 0.29/0.46 ! [Ext: real_int,Lan: nat_int,Own: cars,More: product_unit] :
% 0.29/0.46 ( ( ext_Product_unit @ ( view_e912666823t_unit @ Ext @ Lan @ Own @ More ) )
% 0.29/0.46 = Ext ) ).
% 0.29/0.46
% 0.29/0.46 % select_convs(1)
% 0.29/0.46 thf(fact_44_traffic_Ocreate__reservation__def,axiom,
% 0.29/0.46 ( create_reservation
% 0.29/0.46 = ( ^ [Ts5: traffic,C4: cars,Ts6: traffic] :
% 0.29/0.46 ( ( ( pos @ Ts6 )
% 0.29/0.46 = ( pos @ Ts5 ) )
% 0.29/0.46 & ( ( res @ Ts6 )
% 0.29/0.46 = ( fun_upd_cars_nat_int @ ( res @ Ts5 ) @ C4 @ ( nat_union @ ( res @ Ts5 @ C4 ) @ ( clm @ Ts5 @ C4 ) ) ) )
% 0.29/0.46 & ( ( dyn @ Ts6 )
% 0.29/0.46 = ( dyn @ Ts5 ) )
% 0.29/0.46 & ( ( clm @ Ts6 )
% 0.29/0.46 = ( fun_upd_cars_nat_int @ ( clm @ Ts5 ) @ C4 @ bot_bot_nat_int ) )
% 0.29/0.46 & ( ( physical_size @ Ts6 )
% 0.29/0.46 = ( physical_size @ Ts5 ) )
% 0.29/0.46 & ( ( braking_distance @ Ts6 )
% 0.29/0.46 = ( braking_distance @ Ts5 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.create_reservation_def
% 0.29/0.46 thf(fact_45_traffic_Oabstract_Oinducts,axiom,
% 0.29/0.46 ! [Ts4: traffic,X2: traffic,P: traffic > $o] :
% 0.29/0.46 ( ( abstract @ Ts4 @ X2 )
% 0.29/0.46 => ( ( P @ Ts4 )
% 0.29/0.46 => ( ! [Ts2: traffic,Ts9: traffic] :
% 0.29/0.46 ( ( abstract @ Ts4 @ Ts2 )
% 0.29/0.46 => ( ( P @ Ts2 )
% 0.29/0.46 => ( ( evolve @ Ts2 @ Ts9 )
% 0.29/0.46 => ( P @ Ts9 ) ) ) )
% 0.29/0.46 => ( ! [Ts2: traffic,Ts9: traffic] :
% 0.29/0.46 ( ( abstract @ Ts4 @ Ts2 )
% 0.29/0.46 => ( ( P @ Ts2 )
% 0.29/0.46 => ( ? [C: cars,N3: nat] : ( create_claim @ Ts2 @ C @ N3 @ Ts9 )
% 0.29/0.46 => ( P @ Ts9 ) ) ) )
% 0.29/0.46 => ( ! [Ts2: traffic,Ts9: traffic] :
% 0.29/0.46 ( ( abstract @ Ts4 @ Ts2 )
% 0.29/0.46 => ( ( P @ Ts2 )
% 0.29/0.46 => ( ? [C: cars] : ( withdraw_claim @ Ts2 @ C @ Ts9 )
% 0.29/0.46 => ( P @ Ts9 ) ) ) )
% 0.29/0.46 => ( ! [Ts2: traffic,Ts9: traffic] :
% 0.29/0.46 ( ( abstract @ Ts4 @ Ts2 )
% 0.29/0.46 => ( ( P @ Ts2 )
% 0.29/0.46 => ( ? [C: cars] : ( create_reservation @ Ts2 @ C @ Ts9 )
% 0.29/0.46 => ( P @ Ts9 ) ) ) )
% 0.29/0.46 => ( ! [Ts2: traffic,Ts9: traffic] :
% 0.29/0.46 ( ( abstract @ Ts4 @ Ts2 )
% 0.29/0.46 => ( ( P @ Ts2 )
% 0.29/0.46 => ( ? [C: cars,N3: nat] : ( withdraw_reservation @ Ts2 @ C @ N3 @ Ts9 )
% 0.29/0.46 => ( P @ Ts9 ) ) ) )
% 0.29/0.46 => ( P @ X2 ) ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.abstract.inducts
% 0.29/0.46 thf(fact_46_traffic_Oabstract_Osimps,axiom,
% 0.29/0.46 ( abstract
% 0.29/0.46 = ( ^ [Ts5: traffic,A: traffic] :
% 0.29/0.46 ( ( A = Ts5 )
% 0.29/0.46 | ? [Ts6: traffic,Ts10: traffic] :
% 0.29/0.46 ( ( A = Ts10 )
% 0.29/0.46 & ( abstract @ Ts5 @ Ts6 )
% 0.29/0.46 & ( evolve @ Ts6 @ Ts10 ) )
% 0.29/0.46 | ? [Ts6: traffic,Ts10: traffic] :
% 0.29/0.46 ( ( A = Ts10 )
% 0.29/0.46 & ( abstract @ Ts5 @ Ts6 )
% 0.29/0.46 & ? [C4: cars,N4: nat] : ( create_claim @ Ts6 @ C4 @ N4 @ Ts10 ) )
% 0.29/0.46 | ? [Ts6: traffic,Ts10: traffic] :
% 0.29/0.46 ( ( A = Ts10 )
% 0.29/0.46 & ( abstract @ Ts5 @ Ts6 )
% 0.29/0.46 & ? [C4: cars] : ( withdraw_claim @ Ts6 @ C4 @ Ts10 ) )
% 0.29/0.46 | ? [Ts6: traffic,Ts10: traffic] :
% 0.29/0.46 ( ( A = Ts10 )
% 0.29/0.46 & ( abstract @ Ts5 @ Ts6 )
% 0.29/0.46 & ? [C4: cars] : ( create_reservation @ Ts6 @ C4 @ Ts10 ) )
% 0.29/0.46 | ? [Ts6: traffic,Ts10: traffic] :
% 0.29/0.46 ( ( A = Ts10 )
% 0.29/0.46 & ( abstract @ Ts5 @ Ts6 )
% 0.29/0.46 & ? [C4: cars,N4: nat] : ( withdraw_reservation @ Ts6 @ C4 @ N4 @ Ts10 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.abstract.simps
% 0.29/0.46 thf(fact_47_traffic_Oabstract_Ocases,axiom,
% 0.29/0.46 ! [Ts4: traffic,A2: traffic] :
% 0.29/0.46 ( ( abstract @ Ts4 @ A2 )
% 0.29/0.46 => ( ( A2 != Ts4 )
% 0.29/0.46 => ( ! [Ts2: traffic] :
% 0.29/0.46 ( ( abstract @ Ts4 @ Ts2 )
% 0.29/0.46 => ~ ( evolve @ Ts2 @ A2 ) )
% 0.29/0.46 => ( ! [Ts2: traffic] :
% 0.29/0.46 ( ( abstract @ Ts4 @ Ts2 )
% 0.29/0.46 => ~ ? [C: cars,N3: nat] : ( create_claim @ Ts2 @ C @ N3 @ A2 ) )
% 0.29/0.46 => ( ! [Ts2: traffic] :
% 0.29/0.46 ( ( abstract @ Ts4 @ Ts2 )
% 0.29/0.46 => ~ ? [C: cars] : ( withdraw_claim @ Ts2 @ C @ A2 ) )
% 0.29/0.46 => ( ! [Ts2: traffic] :
% 0.29/0.46 ( ( abstract @ Ts4 @ Ts2 )
% 0.29/0.46 => ~ ? [C: cars] : ( create_reservation @ Ts2 @ C @ A2 ) )
% 0.29/0.46 => ~ ! [Ts2: traffic] :
% 0.29/0.46 ( ( abstract @ Ts4 @ Ts2 )
% 0.29/0.46 => ~ ? [C: cars,N3: nat] : ( withdraw_reservation @ Ts2 @ C @ N3 @ A2 ) ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.abstract.cases
% 0.29/0.46 thf(fact_48_surjective,axiom,
% 0.29/0.46 ! [R: view_e774982825t_unit] :
% 0.29/0.46 ( R
% 0.29/0.46 = ( view_e912666823t_unit @ ( ext_Product_unit @ R ) @ ( lan_Product_unit @ R ) @ ( own_Product_unit @ R ) @ ( more_Product_unit @ R ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % surjective
% 0.29/0.46 thf(fact_49_traffic_Owithdraw__clm__eq__res,axiom,
% 0.29/0.46 ! [Ts4: traffic,D: cars,Ts7: traffic,C2: cars] :
% 0.29/0.46 ( ( withdraw_claim @ Ts4 @ D @ Ts7 )
% 0.29/0.46 => ( ( res @ Ts4 @ C2 )
% 0.29/0.46 = ( res @ Ts7 @ C2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.withdraw_clm_eq_res
% 0.29/0.46 thf(fact_50_traffic_Ocreate__clm__eq__res,axiom,
% 0.29/0.46 ! [Ts4: traffic,D: cars,N: nat,Ts7: traffic,C2: cars] :
% 0.29/0.46 ( ( create_claim @ Ts4 @ D @ N @ Ts7 )
% 0.29/0.46 => ( ( res @ Ts4 @ C2 )
% 0.29/0.46 = ( res @ Ts7 @ C2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.create_clm_eq_res
% 0.29/0.46 thf(fact_51_traffic_Ocreate__res__subseteq1__neq,axiom,
% 0.29/0.46 ! [Ts4: traffic,D: cars,Ts7: traffic,C2: cars] :
% 0.29/0.46 ( ( ( create_reservation @ Ts4 @ D @ Ts7 )
% 0.29/0.46 & ( D != C2 ) )
% 0.29/0.46 => ( ( res @ Ts4 @ C2 )
% 0.29/0.46 = ( res @ Ts7 @ C2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.create_res_subseteq1_neq
% 0.29/0.46 thf(fact_52_traffic_Ocreate__res__subseteq2__neq,axiom,
% 0.29/0.46 ! [Ts4: traffic,D: cars,Ts7: traffic,C2: cars] :
% 0.29/0.46 ( ( ( create_reservation @ Ts4 @ D @ Ts7 )
% 0.29/0.46 & ( D != C2 ) )
% 0.29/0.46 => ( ( clm @ Ts4 @ C2 )
% 0.29/0.46 = ( clm @ Ts7 @ C2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.create_res_subseteq2_neq
% 0.29/0.46 thf(fact_53_traffic_Oevolve__trans,axiom,
% 0.29/0.46 ! [Ts0: traffic,Ts1: traffic,Ts22: traffic] :
% 0.29/0.46 ( ( evolve @ Ts0 @ Ts1 )
% 0.29/0.46 => ( ( evolve @ Ts1 @ Ts22 )
% 0.29/0.46 => ( evolve @ Ts0 @ Ts22 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.evolve_trans
% 0.29/0.46 thf(fact_54_traffic_Oevolve_Orefl,axiom,
% 0.29/0.46 ! [Ts4: traffic] : ( evolve @ Ts4 @ Ts4 ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.evolve.refl
% 0.29/0.46 thf(fact_55_traffic_Owithdraw__claim__def,axiom,
% 0.29/0.46 ( withdraw_claim
% 0.29/0.46 = ( ^ [Ts5: traffic,C4: cars,Ts6: traffic] :
% 0.29/0.46 ( ( ( pos @ Ts6 )
% 0.29/0.46 = ( pos @ Ts5 ) )
% 0.29/0.46 & ( ( res @ Ts6 )
% 0.29/0.46 = ( res @ Ts5 ) )
% 0.29/0.46 & ( ( dyn @ Ts6 )
% 0.29/0.46 = ( dyn @ Ts5 ) )
% 0.29/0.46 & ( ( physical_size @ Ts6 )
% 0.29/0.46 = ( physical_size @ Ts5 ) )
% 0.29/0.46 & ( ( braking_distance @ Ts6 )
% 0.29/0.46 = ( braking_distance @ Ts5 ) )
% 0.29/0.46 & ( ( clm @ Ts6 )
% 0.29/0.46 = ( fun_upd_cars_nat_int @ ( clm @ Ts5 ) @ C4 @ bot_bot_nat_int ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.withdraw_claim_def
% 0.29/0.46 thf(fact_56_traffic_Oevolve,axiom,
% 0.29/0.46 ! [Ts4: traffic,Ts7: traffic,Ts8: traffic] :
% 0.29/0.46 ( ( abstract @ Ts4 @ Ts7 )
% 0.29/0.46 => ( ( evolve @ Ts7 @ Ts8 )
% 0.29/0.46 => ( abstract @ Ts4 @ Ts8 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.evolve
% 0.29/0.46 thf(fact_57_select__convs_I4_J,axiom,
% 0.29/0.46 ! [Ext: real_int,Lan: nat_int,Own: cars,More: product_unit] :
% 0.29/0.46 ( ( more_Product_unit @ ( view_e912666823t_unit @ Ext @ Lan @ Own @ More ) )
% 0.29/0.46 = More ) ).
% 0.29/0.46
% 0.29/0.46 % select_convs(4)
% 0.29/0.46 thf(fact_58_equality,axiom,
% 0.29/0.46 ! [R: view_e774982825t_unit,R2: view_e774982825t_unit] :
% 0.29/0.46 ( ( ( ext_Product_unit @ R )
% 0.29/0.46 = ( ext_Product_unit @ R2 ) )
% 0.29/0.46 => ( ( ( lan_Product_unit @ R )
% 0.29/0.46 = ( lan_Product_unit @ R2 ) )
% 0.29/0.46 => ( ( ( own_Product_unit @ R )
% 0.29/0.46 = ( own_Product_unit @ R2 ) )
% 0.29/0.46 => ( ( ( more_Product_unit @ R )
% 0.29/0.46 = ( more_Product_unit @ R2 ) )
% 0.29/0.46 => ( R = R2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % equality
% 0.29/0.46 thf(fact_59_fun__upd__upd,axiom,
% 0.29/0.46 ! [F: cars > nat_int,X2: cars,Y2: nat_int,Z: nat_int] :
% 0.29/0.46 ( ( fun_upd_cars_nat_int @ ( fun_upd_cars_nat_int @ F @ X2 @ Y2 ) @ X2 @ Z )
% 0.29/0.46 = ( fun_upd_cars_nat_int @ F @ X2 @ Z ) ) ).
% 0.29/0.46
% 0.29/0.46 % fun_upd_upd
% 0.29/0.46 thf(fact_60_fun__upd__upd,axiom,
% 0.29/0.46 ! [F: cars > real > real,X2: cars,Y2: real > real,Z: real > real] :
% 0.29/0.46 ( ( fun_up1431237090l_real @ ( fun_up1431237090l_real @ F @ X2 @ Y2 ) @ X2 @ Z )
% 0.29/0.46 = ( fun_up1431237090l_real @ F @ X2 @ Z ) ) ).
% 0.29/0.46
% 0.29/0.46 % fun_upd_upd
% 0.29/0.46 thf(fact_61_fun__upd__triv,axiom,
% 0.29/0.46 ! [F: cars > nat_int,X2: cars] :
% 0.29/0.46 ( ( fun_upd_cars_nat_int @ F @ X2 @ ( F @ X2 ) )
% 0.29/0.46 = F ) ).
% 0.29/0.46
% 0.29/0.46 % fun_upd_triv
% 0.29/0.46 thf(fact_62_fun__upd__triv,axiom,
% 0.29/0.46 ! [F: cars > real > real,X2: cars] :
% 0.29/0.46 ( ( fun_up1431237090l_real @ F @ X2 @ ( F @ X2 ) )
% 0.29/0.46 = F ) ).
% 0.29/0.46
% 0.29/0.46 % fun_upd_triv
% 0.29/0.46 thf(fact_63_fun__upd__apply,axiom,
% 0.29/0.46 ( fun_upd_cars_nat_int
% 0.29/0.46 = ( ^ [F2: cars > nat_int,X: cars,Y: nat_int,Z2: cars] : ( if_nat_int @ ( Z2 = X ) @ Y @ ( F2 @ Z2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % fun_upd_apply
% 0.29/0.46 thf(fact_64_fun__upd__apply,axiom,
% 0.29/0.46 ( fun_up1431237090l_real
% 0.29/0.46 = ( ^ [F2: cars > real > real,X: cars,Y: real > real,Z2: cars] : ( if_real_real @ ( Z2 = X ) @ Y @ ( F2 @ Z2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % fun_upd_apply
% 0.29/0.46 thf(fact_65_un__empty__absorb1,axiom,
% 0.29/0.46 ! [I: nat_int] :
% 0.29/0.46 ( ( nat_union @ I @ bot_bot_nat_int )
% 0.29/0.46 = I ) ).
% 0.29/0.46
% 0.29/0.46 % un_empty_absorb1
% 0.29/0.46 thf(fact_66_un__empty__absorb2,axiom,
% 0.29/0.46 ! [I: nat_int] :
% 0.29/0.46 ( ( nat_union @ bot_bot_nat_int @ I )
% 0.29/0.46 = I ) ).
% 0.29/0.46
% 0.29/0.46 % un_empty_absorb2
% 0.29/0.46 thf(fact_67_view_Ohchop__def,axiom,
% 0.29/0.46 ( hchop
% 0.29/0.46 = ( ^ [V3: view_e774982825t_unit,U: view_e774982825t_unit,W: view_e774982825t_unit] :
% 0.29/0.46 ( ( real_R_Chop @ ( ext_Product_unit @ V3 ) @ ( ext_Product_unit @ U ) @ ( ext_Product_unit @ W ) )
% 0.29/0.46 & ( ( lan_Product_unit @ V3 )
% 0.29/0.46 = ( lan_Product_unit @ U ) )
% 0.29/0.46 & ( ( lan_Product_unit @ V3 )
% 0.29/0.46 = ( lan_Product_unit @ W ) )
% 0.29/0.46 & ( ( own_Product_unit @ V3 )
% 0.29/0.46 = ( own_Product_unit @ U ) )
% 0.29/0.46 & ( ( own_Product_unit @ V3 )
% 0.29/0.46 = ( own_Product_unit @ W ) )
% 0.29/0.46 & ( ( more_Product_unit @ V3 )
% 0.29/0.46 = ( more_Product_unit @ W ) )
% 0.29/0.46 & ( ( more_Product_unit @ V3 )
% 0.29/0.46 = ( more_Product_unit @ U ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % view.hchop_def
% 0.29/0.46 thf(fact_68_fun__upd__idem__iff,axiom,
% 0.29/0.46 ! [F: cars > nat_int,X2: cars,Y2: nat_int] :
% 0.29/0.46 ( ( ( fun_upd_cars_nat_int @ F @ X2 @ Y2 )
% 0.29/0.46 = F )
% 0.29/0.46 = ( ( F @ X2 )
% 0.29/0.46 = Y2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % fun_upd_idem_iff
% 0.29/0.46 thf(fact_69_fun__upd__idem__iff,axiom,
% 0.29/0.46 ! [F: cars > real > real,X2: cars,Y2: real > real] :
% 0.29/0.46 ( ( ( fun_up1431237090l_real @ F @ X2 @ Y2 )
% 0.29/0.46 = F )
% 0.29/0.46 = ( ( F @ X2 )
% 0.29/0.46 = Y2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % fun_upd_idem_iff
% 0.29/0.46 thf(fact_70_fun__upd__twist,axiom,
% 0.29/0.46 ! [A2: cars,C2: cars,M: cars > nat_int,B: nat_int,D: nat_int] :
% 0.29/0.46 ( ( A2 != C2 )
% 0.29/0.46 => ( ( fun_upd_cars_nat_int @ ( fun_upd_cars_nat_int @ M @ A2 @ B ) @ C2 @ D )
% 0.29/0.46 = ( fun_upd_cars_nat_int @ ( fun_upd_cars_nat_int @ M @ C2 @ D ) @ A2 @ B ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % fun_upd_twist
% 0.29/0.46 thf(fact_71_fun__upd__twist,axiom,
% 0.29/0.46 ! [A2: cars,C2: cars,M: cars > real > real,B: real > real,D: real > real] :
% 0.29/0.46 ( ( A2 != C2 )
% 0.29/0.46 => ( ( fun_up1431237090l_real @ ( fun_up1431237090l_real @ M @ A2 @ B ) @ C2 @ D )
% 0.29/0.46 = ( fun_up1431237090l_real @ ( fun_up1431237090l_real @ M @ C2 @ D ) @ A2 @ B ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % fun_upd_twist
% 0.29/0.46 thf(fact_72_fun__upd__other,axiom,
% 0.29/0.46 ! [Z: cars,X2: cars,F: cars > nat_int,Y2: nat_int] :
% 0.29/0.46 ( ( Z != X2 )
% 0.29/0.46 => ( ( fun_upd_cars_nat_int @ F @ X2 @ Y2 @ Z )
% 0.29/0.46 = ( F @ Z ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % fun_upd_other
% 0.29/0.46 thf(fact_73_fun__upd__other,axiom,
% 0.29/0.46 ! [Z: cars,X2: cars,F: cars > real > real,Y2: real > real] :
% 0.29/0.46 ( ( Z != X2 )
% 0.29/0.46 => ( ( fun_up1431237090l_real @ F @ X2 @ Y2 @ Z )
% 0.29/0.46 = ( F @ Z ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % fun_upd_other
% 0.29/0.46 thf(fact_74_fun__upd__same,axiom,
% 0.29/0.46 ! [F: cars > nat_int,X2: cars,Y2: nat_int] :
% 0.29/0.46 ( ( fun_upd_cars_nat_int @ F @ X2 @ Y2 @ X2 )
% 0.29/0.46 = Y2 ) ).
% 0.29/0.46
% 0.29/0.46 % fun_upd_same
% 0.29/0.46 thf(fact_75_fun__upd__same,axiom,
% 0.29/0.46 ! [F: cars > real > real,X2: cars,Y2: real > real] :
% 0.29/0.46 ( ( fun_up1431237090l_real @ F @ X2 @ Y2 @ X2 )
% 0.29/0.46 = Y2 ) ).
% 0.29/0.46
% 0.29/0.46 % fun_upd_same
% 0.29/0.46 thf(fact_76_fun__upd__idem,axiom,
% 0.29/0.46 ! [F: cars > nat_int,X2: cars,Y2: nat_int] :
% 0.29/0.46 ( ( ( F @ X2 )
% 0.29/0.46 = Y2 )
% 0.29/0.46 => ( ( fun_upd_cars_nat_int @ F @ X2 @ Y2 )
% 0.29/0.46 = F ) ) ).
% 0.29/0.46
% 0.29/0.46 % fun_upd_idem
% 0.29/0.46 thf(fact_77_fun__upd__idem,axiom,
% 0.29/0.46 ! [F: cars > real > real,X2: cars,Y2: real > real] :
% 0.29/0.46 ( ( ( F @ X2 )
% 0.29/0.46 = Y2 )
% 0.29/0.46 => ( ( fun_up1431237090l_real @ F @ X2 @ Y2 )
% 0.29/0.46 = F ) ) ).
% 0.29/0.46
% 0.29/0.46 % fun_upd_idem
% 0.29/0.46 thf(fact_78_fun__upd__eqD,axiom,
% 0.29/0.46 ! [F: cars > nat_int,X2: cars,Y2: nat_int,G: cars > nat_int,Z: nat_int] :
% 0.29/0.46 ( ( ( fun_upd_cars_nat_int @ F @ X2 @ Y2 )
% 0.29/0.46 = ( fun_upd_cars_nat_int @ G @ X2 @ Z ) )
% 0.29/0.46 => ( Y2 = Z ) ) ).
% 0.29/0.46
% 0.29/0.46 % fun_upd_eqD
% 0.29/0.46 thf(fact_79_fun__upd__eqD,axiom,
% 0.29/0.46 ! [F: cars > real > real,X2: cars,Y2: real > real,G: cars > real > real,Z: real > real] :
% 0.29/0.46 ( ( ( fun_up1431237090l_real @ F @ X2 @ Y2 )
% 0.29/0.46 = ( fun_up1431237090l_real @ G @ X2 @ Z ) )
% 0.29/0.46 => ( Y2 = Z ) ) ).
% 0.29/0.46
% 0.29/0.46 % fun_upd_eqD
% 0.29/0.46 thf(fact_80_fun__upd__def,axiom,
% 0.29/0.46 ( fun_upd_cars_nat_int
% 0.29/0.46 = ( ^ [F2: cars > nat_int,A: cars,B2: nat_int,X: cars] : ( if_nat_int @ ( X = A ) @ B2 @ ( F2 @ X ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % fun_upd_def
% 0.29/0.46 thf(fact_81_fun__upd__def,axiom,
% 0.29/0.46 ( fun_up1431237090l_real
% 0.29/0.46 = ( ^ [F2: cars > real > real,A: cars,B2: real > real,X: cars] : ( if_real_real @ ( X = A ) @ B2 @ ( F2 @ X ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % fun_upd_def
% 0.29/0.46 thf(fact_82_traffic_Ochange__dyn__def,axiom,
% 0.29/0.46 ( change_dyn
% 0.29/0.46 = ( ^ [Ts5: traffic,C4: cars,F2: real > real,Ts6: traffic] :
% 0.29/0.46 ( ( ( pos @ Ts6 )
% 0.29/0.46 = ( pos @ Ts5 ) )
% 0.29/0.46 & ( ( res @ Ts6 )
% 0.29/0.46 = ( res @ Ts5 ) )
% 0.29/0.46 & ( ( clm @ Ts6 )
% 0.29/0.46 = ( clm @ Ts5 ) )
% 0.29/0.46 & ( ( dyn @ Ts6 )
% 0.29/0.46 = ( fun_up1431237090l_real @ ( dyn @ Ts5 ) @ C4 @ F2 ) )
% 0.29/0.46 & ( ( physical_size @ Ts6 )
% 0.29/0.46 = ( physical_size @ Ts5 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.change_dyn_def
% 0.29/0.46 thf(fact_83_local_Ohmlsl_Owidth__hchop__stable,axiom,
% 0.29/0.46 ! [X2: nat,Ts: traffic,V: view_e774982825t_unit] :
% 0.29/0.46 ( ( ( nat_card @ ( lan_Product_unit @ V ) )
% 0.29/0.46 = X2 )
% 0.29/0.46 = ( ? [W: view_e774982825t_unit,U: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ V @ W @ U )
% 0.29/0.46 & ( ( nat_card @ ( lan_Product_unit @ W ) )
% 0.29/0.46 = X2 )
% 0.29/0.46 & ( ( nat_card @ ( lan_Product_unit @ U ) )
% 0.29/0.46 = X2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.width_hchop_stable
% 0.29/0.46 thf(fact_84_chop__singleton__right,axiom,
% 0.29/0.46 ! [R3: real_int] :
% 0.29/0.46 ? [X_1: real_int] : ( real_R_Chop @ R3 @ R3 @ X_1 ) ).
% 0.29/0.46
% 0.29/0.46 % chop_singleton_right
% 0.29/0.46 thf(fact_85_real__int__class_Ochop__always__possible,axiom,
% 0.29/0.46 ! [R3: real_int] :
% 0.29/0.46 ? [S: real_int,X_1: real_int] : ( real_R_Chop @ R3 @ S @ X_1 ) ).
% 0.29/0.46
% 0.29/0.46 % real_int_class.chop_always_possible
% 0.29/0.46 thf(fact_86_chop__singleton__left,axiom,
% 0.29/0.46 ! [R3: real_int] :
% 0.29/0.46 ? [S: real_int] : ( real_R_Chop @ R3 @ S @ R3 ) ).
% 0.29/0.46
% 0.29/0.46 % chop_singleton_left
% 0.29/0.46 thf(fact_87_view_Oswitch__def,axiom,
% 0.29/0.46 ( switch
% 0.29/0.46 = ( ^ [V3: view_e774982825t_unit,C4: cars,W: view_e774982825t_unit] :
% 0.29/0.46 ( ( ( ext_Product_unit @ V3 )
% 0.29/0.46 = ( ext_Product_unit @ W ) )
% 0.29/0.46 & ( ( lan_Product_unit @ V3 )
% 0.29/0.46 = ( lan_Product_unit @ W ) )
% 0.29/0.46 & ( ( own_Product_unit @ W )
% 0.29/0.46 = C4 )
% 0.29/0.46 & ( ( more_Product_unit @ V3 )
% 0.29/0.46 = ( more_Product_unit @ W ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % view.switch_def
% 0.29/0.46 thf(fact_88_local_Ohmlsl_Oat__conj__distr,axiom,
% 0.29/0.46 ! [C2: cars,Phi: traffic > view_e774982825t_unit > $o,Psi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 0.29/0.46 ( ( ! [V6: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V @ C2 @ V6 )
% 0.29/0.46 => ( ( Phi @ Ts @ V6 )
% 0.29/0.46 & ( Psi @ Ts @ V6 ) ) ) )
% 0.29/0.46 = ( ! [V6: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V @ C2 @ V6 )
% 0.29/0.46 => ( Phi @ Ts @ V6 ) )
% 0.29/0.46 & ! [V6: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V @ C2 @ V6 )
% 0.29/0.46 => ( Psi @ Ts @ V6 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.at_conj_distr
% 0.29/0.46 thf(fact_89_local_Ohmlsl_Oat__disj__dist,axiom,
% 0.29/0.46 ! [C2: cars,Phi: traffic > view_e774982825t_unit > $o,Psi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 0.29/0.46 ( ( ! [V6: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V @ C2 @ V6 )
% 0.29/0.46 => ( ( Phi @ Ts @ V6 )
% 0.29/0.46 | ( Psi @ Ts @ V6 ) ) ) )
% 0.29/0.46 = ( ! [V6: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V @ C2 @ V6 )
% 0.29/0.46 => ( Phi @ Ts @ V6 ) )
% 0.29/0.46 | ! [V6: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V @ C2 @ V6 )
% 0.29/0.46 => ( Psi @ Ts @ V6 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.at_disj_dist
% 0.29/0.46 thf(fact_90_local_Ohmlsl_Oat__exists,axiom,
% 0.29/0.46 ! [Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 0.29/0.46 ( ( Phi @ Ts @ V )
% 0.29/0.46 => ? [X3: cars] :
% 0.29/0.46 ! [V7: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V @ X3 @ V7 )
% 0.29/0.46 => ( Phi @ Ts @ V7 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.at_exists
% 0.29/0.46 thf(fact_91_local_Ohmlsl_Oat__neg,axiom,
% 0.29/0.46 ! [C2: cars,Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 0.29/0.46 ( ( ! [V6: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V @ C2 @ V6 )
% 0.29/0.46 => ~ ( Phi @ Ts @ V6 ) ) )
% 0.29/0.46 = ( ~ ! [V6: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V @ C2 @ V6 )
% 0.29/0.46 => ( Phi @ Ts @ V6 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.at_neg
% 0.29/0.46 thf(fact_92_local_Ohmlsl_Oat__neg_H,axiom,
% 0.29/0.46 ! [V2: view_e774982825t_unit,C2: cars,Phi: traffic > view_e774982825t_unit > $o,Ts4: traffic] :
% 0.29/0.46 ( ( ~ ! [V6: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V2 @ C2 @ V6 )
% 0.29/0.46 => ( Phi @ Ts4 @ V6 ) ) )
% 0.29/0.46 = ( ! [V6: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V2 @ C2 @ V6 )
% 0.29/0.46 => ~ ( Phi @ Ts4 @ V6 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.at_neg'
% 0.29/0.46 thf(fact_93_local_Ohmlsl_Oat__neg1,axiom,
% 0.29/0.46 ! [C2: cars,Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 0.29/0.46 ( ! [V5: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V @ C2 @ V5 )
% 0.29/0.46 => ~ ( Phi @ Ts @ V5 ) )
% 0.29/0.46 => ~ ! [V5: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V @ C2 @ V5 )
% 0.29/0.46 => ( Phi @ Ts @ V5 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.at_neg1
% 0.29/0.46 thf(fact_94_local_Ohmlsl_Oat__neg2,axiom,
% 0.29/0.46 ! [C2: cars,Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 0.29/0.46 ( ~ ! [V7: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V @ C2 @ V7 )
% 0.29/0.46 => ( Phi @ Ts @ V7 ) )
% 0.29/0.46 => ! [V7: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V @ C2 @ V7 )
% 0.29/0.46 => ~ ( Phi @ Ts @ V7 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.at_neg2
% 0.29/0.46 thf(fact_95_local_Ohmlsl_Oat__neg__neg,axiom,
% 0.29/0.46 ! [C2: cars,Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 0.29/0.46 ( ( ! [V6: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V @ C2 @ V6 )
% 0.29/0.46 => ( Phi @ Ts @ V6 ) ) )
% 0.29/0.46 = ( ~ ! [V6: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V @ C2 @ V6 )
% 0.29/0.46 => ~ ( Phi @ Ts @ V6 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.at_neg_neg
% 0.29/0.46 thf(fact_96_local_Ohmlsl_Oat__neg__neg1,axiom,
% 0.29/0.46 ! [C2: cars,Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 0.29/0.46 ( ! [V5: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V @ C2 @ V5 )
% 0.29/0.46 => ( Phi @ Ts @ V5 ) )
% 0.29/0.46 => ~ ! [V5: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V @ C2 @ V5 )
% 0.29/0.46 => ~ ( Phi @ Ts @ V5 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.at_neg_neg1
% 0.29/0.46 thf(fact_97_local_Ohmlsl_Oat__neg__neg2,axiom,
% 0.29/0.46 ! [C2: cars,Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 0.29/0.46 ( ~ ! [V7: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V @ C2 @ V7 )
% 0.29/0.46 => ~ ( Phi @ Ts @ V7 ) )
% 0.29/0.46 => ! [V7: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V @ C2 @ V7 )
% 0.29/0.46 => ( Phi @ Ts @ V7 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.at_neg_neg2
% 0.29/0.46 thf(fact_98_local_Ohmlsl_Oat__hchop__dist,axiom,
% 0.29/0.46 ! [C2: cars,Phi: traffic > view_e774982825t_unit > $o,Psi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 0.29/0.46 ( ( ? [W: view_e774982825t_unit,U: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ V @ W @ U )
% 0.29/0.46 & ! [V6: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ W @ C2 @ V6 )
% 0.29/0.46 => ( Phi @ Ts @ V6 ) )
% 0.29/0.46 & ! [V6: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ U @ C2 @ V6 )
% 0.29/0.46 => ( Psi @ Ts @ V6 ) ) ) )
% 0.29/0.46 = ( ! [V6: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V @ C2 @ V6 )
% 0.29/0.46 => ? [W: view_e774982825t_unit,U: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ V6 @ W @ U )
% 0.29/0.46 & ( Phi @ Ts @ W )
% 0.29/0.46 & ( Psi @ Ts @ U ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.at_hchop_dist
% 0.29/0.46 thf(fact_99_local_Ohmlsl_Oat__hchop__dist1,axiom,
% 0.29/0.46 ! [C2: cars,Phi: traffic > view_e774982825t_unit > $o,Psi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 0.29/0.46 ( ! [V5: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V @ C2 @ V5 )
% 0.29/0.46 => ? [Va2: view_e774982825t_unit,U4: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ V5 @ Va2 @ U4 )
% 0.29/0.46 & ( Phi @ Ts @ Va2 )
% 0.29/0.46 & ( Psi @ Ts @ U4 ) ) )
% 0.29/0.46 => ? [Va: view_e774982825t_unit,U2: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ V @ Va @ U2 )
% 0.29/0.46 & ! [V7: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ Va @ C2 @ V7 )
% 0.29/0.46 => ( Phi @ Ts @ V7 ) )
% 0.29/0.46 & ! [V7: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ U2 @ C2 @ V7 )
% 0.29/0.46 => ( Psi @ Ts @ V7 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.at_hchop_dist1
% 0.29/0.46 thf(fact_100_local_Ohmlsl_Oat__hchop__dist2,axiom,
% 0.29/0.46 ! [C2: cars,Phi: traffic > view_e774982825t_unit > $o,Psi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 0.29/0.46 ( ? [Va2: view_e774982825t_unit,U4: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ V @ Va2 @ U4 )
% 0.29/0.46 & ! [V5: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ Va2 @ C2 @ V5 )
% 0.29/0.46 => ( Phi @ Ts @ V5 ) )
% 0.29/0.46 & ! [V5: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ U4 @ C2 @ V5 )
% 0.29/0.46 => ( Psi @ Ts @ V5 ) ) )
% 0.29/0.46 => ! [V7: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V @ C2 @ V7 )
% 0.29/0.46 => ? [Va: view_e774982825t_unit,U2: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ V7 @ Va @ U2 )
% 0.29/0.46 & ( Phi @ Ts @ Va )
% 0.29/0.46 & ( Psi @ Ts @ U2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.hmlsl.at_hchop_dist2
% 0.29/0.46 thf(fact_101_view_Oswitch__always__exists,axiom,
% 0.29/0.46 ! [V2: view_e774982825t_unit,C3: cars] :
% 0.29/0.46 ? [X_1: view_e774982825t_unit] : ( switch @ V2 @ C3 @ X_1 ) ).
% 0.29/0.46
% 0.29/0.46 % view.switch_always_exists
% 0.29/0.46 thf(fact_102_view_Oswitch__triangle,axiom,
% 0.29/0.46 ! [V2: view_e774982825t_unit,C2: cars,U3: view_e774982825t_unit,D: cars,W2: view_e774982825t_unit] :
% 0.29/0.46 ( ( ( switch @ V2 @ C2 @ U3 )
% 0.29/0.46 & ( switch @ V2 @ D @ W2 ) )
% 0.29/0.46 => ( switch @ U3 @ D @ W2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % view.switch_triangle
% 0.29/0.46 thf(fact_103_view_Oswitch__unique,axiom,
% 0.29/0.46 ! [V2: view_e774982825t_unit,C2: cars,U3: view_e774982825t_unit,W2: view_e774982825t_unit] :
% 0.29/0.46 ( ( ( switch @ V2 @ C2 @ U3 )
% 0.29/0.46 & ( switch @ V2 @ C2 @ W2 ) )
% 0.29/0.46 => ( U3 = W2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % view.switch_unique
% 0.29/0.46 thf(fact_104_view_Oswitch__exists,axiom,
% 0.29/0.46 ! [V2: view_e774982825t_unit] :
% 0.29/0.46 ? [C: cars,X_1: view_e774982825t_unit] : ( switch @ V2 @ C @ X_1 ) ).
% 0.29/0.46
% 0.29/0.46 % view.switch_exists
% 0.29/0.46 thf(fact_105_view_Oswitch__trans,axiom,
% 0.29/0.46 ! [V2: view_e774982825t_unit,C2: cars,U3: view_e774982825t_unit,D: cars,W2: view_e774982825t_unit] :
% 0.29/0.46 ( ( ( switch @ V2 @ C2 @ U3 )
% 0.29/0.46 & ( switch @ U3 @ D @ W2 ) )
% 0.29/0.46 => ( switch @ V2 @ D @ W2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % view.switch_trans
% 0.29/0.46 thf(fact_106_view_Oswitch__hchop1,axiom,
% 0.29/0.46 ! [V2: view_e774982825t_unit,V1: view_e774982825t_unit,V22: view_e774982825t_unit,C2: cars,V8: view_e774982825t_unit] :
% 0.29/0.46 ( ( ( hchop @ V2 @ V1 @ V22 )
% 0.29/0.46 & ( switch @ V2 @ C2 @ V8 ) )
% 0.29/0.46 => ? [V12: view_e774982825t_unit,V23: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V1 @ C2 @ V12 )
% 0.29/0.46 & ( switch @ V22 @ C2 @ V23 )
% 0.29/0.46 & ( hchop @ V8 @ V12 @ V23 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % view.switch_hchop1
% 0.29/0.46 thf(fact_107_view_Oswitch__hchop2,axiom,
% 0.29/0.46 ! [V8: view_e774982825t_unit,V13: view_e774982825t_unit,V24: view_e774982825t_unit,V2: view_e774982825t_unit,C2: cars] :
% 0.29/0.46 ( ( ( hchop @ V8 @ V13 @ V24 )
% 0.29/0.46 & ( switch @ V2 @ C2 @ V8 ) )
% 0.29/0.46 => ? [V14: view_e774982825t_unit,V25: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V14 @ C2 @ V13 )
% 0.29/0.46 & ( switch @ V25 @ C2 @ V24 )
% 0.29/0.46 & ( hchop @ V2 @ V14 @ V25 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % view.switch_hchop2
% 0.29/0.46 thf(fact_108_view_Oswitch__refl,axiom,
% 0.29/0.46 ! [V2: view_e774982825t_unit] : ( switch @ V2 @ ( own_Product_unit @ V2 ) @ V2 ) ).
% 0.29/0.46
% 0.29/0.46 % view.switch_refl
% 0.29/0.46 thf(fact_109_view_Oswitch__symm,axiom,
% 0.29/0.46 ! [V2: view_e774982825t_unit,C2: cars,U3: view_e774982825t_unit] :
% 0.29/0.46 ( ( switch @ V2 @ C2 @ U3 )
% 0.29/0.46 => ( switch @ U3 @ ( own_Product_unit @ V2 ) @ V2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % view.switch_symm
% 0.29/0.46 thf(fact_110_view_Oswitch__origin,axiom,
% 0.29/0.46 ! [V2: view_e774982825t_unit] :
% 0.29/0.46 ? [U2: view_e774982825t_unit] : ( switch @ U2 @ ( own_Product_unit @ V2 ) @ V2 ) ).
% 0.29/0.46
% 0.29/0.46 % view.switch_origin
% 0.29/0.46 thf(fact_111_view_Ohorizontal__chop__width__stable,axiom,
% 0.29/0.46 ! [V2: view_e774982825t_unit,U3: view_e774982825t_unit,W2: view_e774982825t_unit] :
% 0.29/0.46 ( ( hchop @ V2 @ U3 @ W2 )
% 0.29/0.46 => ( ( ( nat_card @ ( lan_Product_unit @ V2 ) )
% 0.29/0.46 = ( nat_card @ ( lan_Product_unit @ U3 ) ) )
% 0.29/0.46 & ( ( nat_card @ ( lan_Product_unit @ V2 ) )
% 0.29/0.46 = ( nat_card @ ( lan_Product_unit @ W2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % view.horizontal_chop_width_stable
% 0.29/0.46 thf(fact_112_traffic_Ochange,axiom,
% 0.29/0.46 ! [Ts4: traffic,Ts7: traffic,Ts8: traffic] :
% 0.29/0.46 ( ? [C3: cars,F3: real > real] : ( change_dyn @ Ts4 @ C3 @ F3 @ Ts7 )
% 0.29/0.46 => ( ( evolve @ Ts7 @ Ts8 )
% 0.29/0.46 => ( evolve @ Ts4 @ Ts8 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.change
% 0.29/0.46 thf(fact_113_old_Ounit_Oexhaust,axiom,
% 0.29/0.46 ! [Y2: product_unit] : ( Y2 = product_Unity ) ).
% 0.29/0.46
% 0.29/0.46 % old.unit.exhaust
% 0.29/0.46 thf(fact_114_old_Ounit_Oinducts,axiom,
% 0.29/0.46 ! [P: product_unit > $o,Unit: product_unit] :
% 0.29/0.46 ( ( P @ product_Unity )
% 0.29/0.46 => ( P @ Unit ) ) ).
% 0.29/0.46
% 0.29/0.46 % old.unit.inducts
% 0.29/0.46 thf(fact_115_unit__all__impI,axiom,
% 0.29/0.46 ! [P: product_unit > $o,Q: product_unit > $o] :
% 0.29/0.46 ( ( ( P @ product_Unity )
% 0.29/0.46 => ( Q @ product_Unity ) )
% 0.29/0.46 => ! [X4: product_unit] :
% 0.29/0.46 ( ( P @ X4 )
% 0.29/0.46 => ( Q @ X4 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % unit_all_impI
% 0.29/0.46 thf(fact_116_eq__sym__Unity__conv,axiom,
% 0.29/0.46 ! [X2: $o] :
% 0.29/0.46 ( ( X2
% 0.29/0.46 = ( product_Unity = product_Unity ) )
% 0.29/0.46 = X2 ) ).
% 0.29/0.46
% 0.29/0.46 % eq_sym_Unity_conv
% 0.29/0.46 thf(fact_117_bot__unit__def,axiom,
% 0.29/0.46 bot_bot_Product_unit = product_Unity ).
% 0.29/0.46
% 0.29/0.46 % bot_unit_def
% 0.29/0.46 thf(fact_118_traffic_Ocreate__res__subseteq2,axiom,
% 0.29/0.46 ! [Ts4: traffic,C2: cars,Ts7: traffic] :
% 0.29/0.46 ( ( create_reservation @ Ts4 @ C2 @ Ts7 )
% 0.29/0.46 => ( ord_less_eq_nat_int @ ( clm @ Ts4 @ C2 ) @ ( res @ Ts7 @ C2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.create_res_subseteq2
% 0.29/0.46 thf(fact_119_order__refl,axiom,
% 0.29/0.46 ! [X2: nat_int] : ( ord_less_eq_nat_int @ X2 @ X2 ) ).
% 0.29/0.46
% 0.29/0.46 % order_refl
% 0.29/0.46 thf(fact_120_order__refl,axiom,
% 0.29/0.46 ! [X2: view_e774982825t_unit] : ( ord_le461438217t_unit @ X2 @ X2 ) ).
% 0.29/0.46
% 0.29/0.46 % order_refl
% 0.29/0.46 thf(fact_121_order__refl,axiom,
% 0.29/0.46 ! [X2: real_int] : ( ord_less_eq_real_int @ X2 @ X2 ) ).
% 0.29/0.46
% 0.29/0.46 % order_refl
% 0.29/0.46 thf(fact_122_order__refl,axiom,
% 0.29/0.46 ! [X2: nat] : ( ord_less_eq_nat @ X2 @ X2 ) ).
% 0.29/0.46
% 0.29/0.46 % order_refl
% 0.29/0.46 thf(fact_123_order__subst1,axiom,
% 0.29/0.46 ! [A2: nat_int,F: nat_int > nat_int,B: nat_int,C2: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ A2 @ ( F @ B ) )
% 0.29/0.46 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 0.29/0.46 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_subst1
% 0.29/0.46 thf(fact_124_order__subst1,axiom,
% 0.29/0.46 ! [A2: nat_int,F: real_int > nat_int,B: real_int,C2: real_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ A2 @ ( F @ B ) )
% 0.29/0.46 => ( ( ord_less_eq_real_int @ B @ C2 )
% 0.29/0.46 => ( ! [X3: real_int,Y3: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_subst1
% 0.29/0.46 thf(fact_125_order__subst1,axiom,
% 0.29/0.46 ! [A2: nat_int,F: nat > nat_int,B: nat,C2: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ A2 @ ( F @ B ) )
% 0.29/0.46 => ( ( ord_less_eq_nat @ B @ C2 )
% 0.29/0.46 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_subst1
% 0.29/0.46 thf(fact_126_order__subst1,axiom,
% 0.29/0.46 ! [A2: real_int,F: nat_int > real_int,B: nat_int,C2: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ A2 @ ( F @ B ) )
% 0.29/0.46 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 0.29/0.46 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_real_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_subst1
% 0.29/0.46 thf(fact_127_order__subst1,axiom,
% 0.29/0.46 ! [A2: real_int,F: real_int > real_int,B: real_int,C2: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ A2 @ ( F @ B ) )
% 0.29/0.46 => ( ( ord_less_eq_real_int @ B @ C2 )
% 0.29/0.46 => ( ! [X3: real_int,Y3: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_real_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_subst1
% 0.29/0.46 thf(fact_128_order__subst1,axiom,
% 0.29/0.46 ! [A2: real_int,F: nat > real_int,B: nat,C2: nat] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ A2 @ ( F @ B ) )
% 0.29/0.46 => ( ( ord_less_eq_nat @ B @ C2 )
% 0.29/0.46 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_real_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_subst1
% 0.29/0.46 thf(fact_129_order__subst1,axiom,
% 0.29/0.46 ! [A2: nat,F: nat_int > nat,B: nat_int,C2: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat @ A2 @ ( F @ B ) )
% 0.29/0.46 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 0.29/0.46 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_subst1
% 0.29/0.46 thf(fact_130_order__subst1,axiom,
% 0.29/0.46 ! [A2: nat,F: real_int > nat,B: real_int,C2: real_int] :
% 0.29/0.46 ( ( ord_less_eq_nat @ A2 @ ( F @ B ) )
% 0.29/0.46 => ( ( ord_less_eq_real_int @ B @ C2 )
% 0.29/0.46 => ( ! [X3: real_int,Y3: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_subst1
% 0.29/0.46 thf(fact_131_order__subst1,axiom,
% 0.29/0.46 ! [A2: nat,F: nat > nat,B: nat,C2: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ A2 @ ( F @ B ) )
% 0.29/0.46 => ( ( ord_less_eq_nat @ B @ C2 )
% 0.29/0.46 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_subst1
% 0.29/0.46 thf(fact_132_order__subst1,axiom,
% 0.29/0.46 ! [A2: nat_int,F: view_e774982825t_unit > nat_int,B: view_e774982825t_unit,C2: view_e774982825t_unit] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ A2 @ ( F @ B ) )
% 0.29/0.46 => ( ( ord_le461438217t_unit @ B @ C2 )
% 0.29/0.46 => ( ! [X3: view_e774982825t_unit,Y3: view_e774982825t_unit] :
% 0.29/0.46 ( ( ord_le461438217t_unit @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_subst1
% 0.29/0.46 thf(fact_133_order__subst2,axiom,
% 0.29/0.46 ! [A2: nat_int,B: nat_int,F: nat_int > nat_int,C2: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ A2 @ B )
% 0.29/0.46 => ( ( ord_less_eq_nat_int @ ( F @ B ) @ C2 )
% 0.29/0.46 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_subst2
% 0.29/0.46 thf(fact_134_order__subst2,axiom,
% 0.29/0.46 ! [A2: nat_int,B: nat_int,F: nat_int > real_int,C2: real_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ A2 @ B )
% 0.29/0.46 => ( ( ord_less_eq_real_int @ ( F @ B ) @ C2 )
% 0.29/0.46 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_real_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_subst2
% 0.29/0.46 thf(fact_135_order__subst2,axiom,
% 0.29/0.46 ! [A2: nat_int,B: nat_int,F: nat_int > nat,C2: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ A2 @ B )
% 0.29/0.46 => ( ( ord_less_eq_nat @ ( F @ B ) @ C2 )
% 0.29/0.46 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_subst2
% 0.29/0.46 thf(fact_136_order__subst2,axiom,
% 0.29/0.46 ! [A2: real_int,B: real_int,F: real_int > nat_int,C2: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ A2 @ B )
% 0.29/0.46 => ( ( ord_less_eq_nat_int @ ( F @ B ) @ C2 )
% 0.29/0.46 => ( ! [X3: real_int,Y3: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_subst2
% 0.29/0.46 thf(fact_137_order__subst2,axiom,
% 0.29/0.46 ! [A2: real_int,B: real_int,F: real_int > real_int,C2: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ A2 @ B )
% 0.29/0.46 => ( ( ord_less_eq_real_int @ ( F @ B ) @ C2 )
% 0.29/0.46 => ( ! [X3: real_int,Y3: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_real_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_subst2
% 0.29/0.46 thf(fact_138_order__subst2,axiom,
% 0.29/0.46 ! [A2: real_int,B: real_int,F: real_int > nat,C2: nat] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ A2 @ B )
% 0.29/0.46 => ( ( ord_less_eq_nat @ ( F @ B ) @ C2 )
% 0.29/0.46 => ( ! [X3: real_int,Y3: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_subst2
% 0.29/0.46 thf(fact_139_order__subst2,axiom,
% 0.29/0.46 ! [A2: nat,B: nat,F: nat > nat_int,C2: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat @ A2 @ B )
% 0.29/0.46 => ( ( ord_less_eq_nat_int @ ( F @ B ) @ C2 )
% 0.29/0.46 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_subst2
% 0.29/0.46 thf(fact_140_order__subst2,axiom,
% 0.29/0.46 ! [A2: nat,B: nat,F: nat > real_int,C2: real_int] :
% 0.29/0.46 ( ( ord_less_eq_nat @ A2 @ B )
% 0.29/0.46 => ( ( ord_less_eq_real_int @ ( F @ B ) @ C2 )
% 0.29/0.46 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_real_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_subst2
% 0.29/0.46 thf(fact_141_order__subst2,axiom,
% 0.29/0.46 ! [A2: nat,B: nat,F: nat > nat,C2: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ A2 @ B )
% 0.29/0.46 => ( ( ord_less_eq_nat @ ( F @ B ) @ C2 )
% 0.29/0.46 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_subst2
% 0.29/0.46 thf(fact_142_order__subst2,axiom,
% 0.29/0.46 ! [A2: nat_int,B: nat_int,F: nat_int > view_e774982825t_unit,C2: view_e774982825t_unit] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ A2 @ B )
% 0.29/0.46 => ( ( ord_le461438217t_unit @ ( F @ B ) @ C2 )
% 0.29/0.46 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_le461438217t_unit @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_le461438217t_unit @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_subst2
% 0.29/0.46 thf(fact_143_ord__eq__le__subst,axiom,
% 0.29/0.46 ! [A2: nat_int,F: nat_int > nat_int,B: nat_int,C2: nat_int] :
% 0.29/0.46 ( ( A2
% 0.29/0.46 = ( F @ B ) )
% 0.29/0.46 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 0.29/0.46 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_eq_le_subst
% 0.29/0.46 thf(fact_144_ord__eq__le__subst,axiom,
% 0.29/0.46 ! [A2: real_int,F: nat_int > real_int,B: nat_int,C2: nat_int] :
% 0.29/0.46 ( ( A2
% 0.29/0.46 = ( F @ B ) )
% 0.29/0.46 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 0.29/0.46 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_real_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_eq_le_subst
% 0.29/0.46 thf(fact_145_ord__eq__le__subst,axiom,
% 0.29/0.46 ! [A2: nat,F: nat_int > nat,B: nat_int,C2: nat_int] :
% 0.29/0.46 ( ( A2
% 0.29/0.46 = ( F @ B ) )
% 0.29/0.46 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 0.29/0.46 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_eq_le_subst
% 0.29/0.46 thf(fact_146_ord__eq__le__subst,axiom,
% 0.29/0.46 ! [A2: nat_int,F: real_int > nat_int,B: real_int,C2: real_int] :
% 0.29/0.46 ( ( A2
% 0.29/0.46 = ( F @ B ) )
% 0.29/0.46 => ( ( ord_less_eq_real_int @ B @ C2 )
% 0.29/0.46 => ( ! [X3: real_int,Y3: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_eq_le_subst
% 0.29/0.46 thf(fact_147_ord__eq__le__subst,axiom,
% 0.29/0.46 ! [A2: real_int,F: real_int > real_int,B: real_int,C2: real_int] :
% 0.29/0.46 ( ( A2
% 0.29/0.46 = ( F @ B ) )
% 0.29/0.46 => ( ( ord_less_eq_real_int @ B @ C2 )
% 0.29/0.46 => ( ! [X3: real_int,Y3: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_real_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_eq_le_subst
% 0.29/0.46 thf(fact_148_ord__eq__le__subst,axiom,
% 0.29/0.46 ! [A2: nat,F: real_int > nat,B: real_int,C2: real_int] :
% 0.29/0.46 ( ( A2
% 0.29/0.46 = ( F @ B ) )
% 0.29/0.46 => ( ( ord_less_eq_real_int @ B @ C2 )
% 0.29/0.46 => ( ! [X3: real_int,Y3: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_eq_le_subst
% 0.29/0.46 thf(fact_149_ord__eq__le__subst,axiom,
% 0.29/0.46 ! [A2: nat_int,F: nat > nat_int,B: nat,C2: nat] :
% 0.29/0.46 ( ( A2
% 0.29/0.46 = ( F @ B ) )
% 0.29/0.46 => ( ( ord_less_eq_nat @ B @ C2 )
% 0.29/0.46 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_eq_le_subst
% 0.29/0.46 thf(fact_150_ord__eq__le__subst,axiom,
% 0.29/0.46 ! [A2: real_int,F: nat > real_int,B: nat,C2: nat] :
% 0.29/0.46 ( ( A2
% 0.29/0.46 = ( F @ B ) )
% 0.29/0.46 => ( ( ord_less_eq_nat @ B @ C2 )
% 0.29/0.46 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_real_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_eq_le_subst
% 0.29/0.46 thf(fact_151_ord__eq__le__subst,axiom,
% 0.29/0.46 ! [A2: nat,F: nat > nat,B: nat,C2: nat] :
% 0.29/0.46 ( ( A2
% 0.29/0.46 = ( F @ B ) )
% 0.29/0.46 => ( ( ord_less_eq_nat @ B @ C2 )
% 0.29/0.46 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_eq_le_subst
% 0.29/0.46 thf(fact_152_ord__eq__le__subst,axiom,
% 0.29/0.46 ! [A2: view_e774982825t_unit,F: nat_int > view_e774982825t_unit,B: nat_int,C2: nat_int] :
% 0.29/0.46 ( ( A2
% 0.29/0.46 = ( F @ B ) )
% 0.29/0.46 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 0.29/0.46 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_le461438217t_unit @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_le461438217t_unit @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_eq_le_subst
% 0.29/0.46 thf(fact_153_ord__le__eq__subst,axiom,
% 0.29/0.46 ! [A2: nat_int,B: nat_int,F: nat_int > nat_int,C2: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ A2 @ B )
% 0.29/0.46 => ( ( ( F @ B )
% 0.29/0.46 = C2 )
% 0.29/0.46 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_le_eq_subst
% 0.29/0.46 thf(fact_154_ord__le__eq__subst,axiom,
% 0.29/0.46 ! [A2: nat_int,B: nat_int,F: nat_int > real_int,C2: real_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ A2 @ B )
% 0.29/0.46 => ( ( ( F @ B )
% 0.29/0.46 = C2 )
% 0.29/0.46 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_real_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_le_eq_subst
% 0.29/0.46 thf(fact_155_ord__le__eq__subst,axiom,
% 0.29/0.46 ! [A2: nat_int,B: nat_int,F: nat_int > nat,C2: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ A2 @ B )
% 0.29/0.46 => ( ( ( F @ B )
% 0.29/0.46 = C2 )
% 0.29/0.46 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_le_eq_subst
% 0.29/0.46 thf(fact_156_ord__le__eq__subst,axiom,
% 0.29/0.46 ! [A2: real_int,B: real_int,F: real_int > nat_int,C2: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ A2 @ B )
% 0.29/0.46 => ( ( ( F @ B )
% 0.29/0.46 = C2 )
% 0.29/0.46 => ( ! [X3: real_int,Y3: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_le_eq_subst
% 0.29/0.46 thf(fact_157_ord__le__eq__subst,axiom,
% 0.29/0.46 ! [A2: real_int,B: real_int,F: real_int > real_int,C2: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ A2 @ B )
% 0.29/0.46 => ( ( ( F @ B )
% 0.29/0.46 = C2 )
% 0.29/0.46 => ( ! [X3: real_int,Y3: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_real_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_le_eq_subst
% 0.29/0.46 thf(fact_158_ord__le__eq__subst,axiom,
% 0.29/0.46 ! [A2: real_int,B: real_int,F: real_int > nat,C2: nat] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ A2 @ B )
% 0.29/0.46 => ( ( ( F @ B )
% 0.29/0.46 = C2 )
% 0.29/0.46 => ( ! [X3: real_int,Y3: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_le_eq_subst
% 0.29/0.46 thf(fact_159_ord__le__eq__subst,axiom,
% 0.29/0.46 ! [A2: nat,B: nat,F: nat > nat_int,C2: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat @ A2 @ B )
% 0.29/0.46 => ( ( ( F @ B )
% 0.29/0.46 = C2 )
% 0.29/0.46 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_le_eq_subst
% 0.29/0.46 thf(fact_160_ord__le__eq__subst,axiom,
% 0.29/0.46 ! [A2: nat,B: nat,F: nat > real_int,C2: real_int] :
% 0.29/0.46 ( ( ord_less_eq_nat @ A2 @ B )
% 0.29/0.46 => ( ( ( F @ B )
% 0.29/0.46 = C2 )
% 0.29/0.46 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_real_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_le_eq_subst
% 0.29/0.46 thf(fact_161_ord__le__eq__subst,axiom,
% 0.29/0.46 ! [A2: nat,B: nat,F: nat > nat,C2: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ A2 @ B )
% 0.29/0.46 => ( ( ( F @ B )
% 0.29/0.46 = C2 )
% 0.29/0.46 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 0.29/0.46 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_less_eq_nat @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_le_eq_subst
% 0.29/0.46 thf(fact_162_ord__le__eq__subst,axiom,
% 0.29/0.46 ! [A2: nat_int,B: nat_int,F: nat_int > view_e774982825t_unit,C2: view_e774982825t_unit] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ A2 @ B )
% 0.29/0.46 => ( ( ( F @ B )
% 0.29/0.46 = C2 )
% 0.29/0.46 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 0.29/0.46 => ( ord_le461438217t_unit @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.46 => ( ord_le461438217t_unit @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_le_eq_subst
% 0.29/0.46 thf(fact_163_eq__iff,axiom,
% 0.29/0.46 ( ( ^ [Y4: nat_int,Z3: nat_int] : ( Y4 = Z3 ) )
% 0.29/0.46 = ( ^ [X: nat_int,Y: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ X @ Y )
% 0.29/0.46 & ( ord_less_eq_nat_int @ Y @ X ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % eq_iff
% 0.29/0.46 thf(fact_164_eq__iff,axiom,
% 0.29/0.46 ( ( ^ [Y4: view_e774982825t_unit,Z3: view_e774982825t_unit] : ( Y4 = Z3 ) )
% 0.29/0.46 = ( ^ [X: view_e774982825t_unit,Y: view_e774982825t_unit] :
% 0.29/0.46 ( ( ord_le461438217t_unit @ X @ Y )
% 0.29/0.46 & ( ord_le461438217t_unit @ Y @ X ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % eq_iff
% 0.29/0.46 thf(fact_165_eq__iff,axiom,
% 0.29/0.46 ( ( ^ [Y4: real_int,Z3: real_int] : ( Y4 = Z3 ) )
% 0.29/0.46 = ( ^ [X: real_int,Y: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ X @ Y )
% 0.29/0.46 & ( ord_less_eq_real_int @ Y @ X ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % eq_iff
% 0.29/0.46 thf(fact_166_eq__iff,axiom,
% 0.29/0.46 ( ( ^ [Y4: nat,Z3: nat] : ( Y4 = Z3 ) )
% 0.29/0.46 = ( ^ [X: nat,Y: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ X @ Y )
% 0.29/0.46 & ( ord_less_eq_nat @ Y @ X ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % eq_iff
% 0.29/0.46 thf(fact_167_antisym,axiom,
% 0.29/0.46 ! [X2: nat_int,Y2: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ X2 @ Y2 )
% 0.29/0.46 => ( ( ord_less_eq_nat_int @ Y2 @ X2 )
% 0.29/0.46 => ( X2 = Y2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % antisym
% 0.29/0.46 thf(fact_168_antisym,axiom,
% 0.29/0.46 ! [X2: view_e774982825t_unit,Y2: view_e774982825t_unit] :
% 0.29/0.46 ( ( ord_le461438217t_unit @ X2 @ Y2 )
% 0.29/0.46 => ( ( ord_le461438217t_unit @ Y2 @ X2 )
% 0.29/0.46 => ( X2 = Y2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % antisym
% 0.29/0.46 thf(fact_169_antisym,axiom,
% 0.29/0.46 ! [X2: real_int,Y2: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ X2 @ Y2 )
% 0.29/0.46 => ( ( ord_less_eq_real_int @ Y2 @ X2 )
% 0.29/0.46 => ( X2 = Y2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % antisym
% 0.29/0.46 thf(fact_170_antisym,axiom,
% 0.29/0.46 ! [X2: nat,Y2: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ X2 @ Y2 )
% 0.29/0.46 => ( ( ord_less_eq_nat @ Y2 @ X2 )
% 0.29/0.46 => ( X2 = Y2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % antisym
% 0.29/0.46 thf(fact_171_linear,axiom,
% 0.29/0.46 ! [X2: nat,Y2: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ X2 @ Y2 )
% 0.29/0.46 | ( ord_less_eq_nat @ Y2 @ X2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % linear
% 0.29/0.46 thf(fact_172_eq__refl,axiom,
% 0.29/0.46 ! [X2: nat_int,Y2: nat_int] :
% 0.29/0.46 ( ( X2 = Y2 )
% 0.29/0.46 => ( ord_less_eq_nat_int @ X2 @ Y2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % eq_refl
% 0.29/0.46 thf(fact_173_eq__refl,axiom,
% 0.29/0.46 ! [X2: view_e774982825t_unit,Y2: view_e774982825t_unit] :
% 0.29/0.46 ( ( X2 = Y2 )
% 0.29/0.46 => ( ord_le461438217t_unit @ X2 @ Y2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % eq_refl
% 0.29/0.46 thf(fact_174_eq__refl,axiom,
% 0.29/0.46 ! [X2: real_int,Y2: real_int] :
% 0.29/0.46 ( ( X2 = Y2 )
% 0.29/0.46 => ( ord_less_eq_real_int @ X2 @ Y2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % eq_refl
% 0.29/0.46 thf(fact_175_eq__refl,axiom,
% 0.29/0.46 ! [X2: nat,Y2: nat] :
% 0.29/0.46 ( ( X2 = Y2 )
% 0.29/0.46 => ( ord_less_eq_nat @ X2 @ Y2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % eq_refl
% 0.29/0.46 thf(fact_176_le__cases,axiom,
% 0.29/0.46 ! [X2: nat,Y2: nat] :
% 0.29/0.46 ( ~ ( ord_less_eq_nat @ X2 @ Y2 )
% 0.29/0.46 => ( ord_less_eq_nat @ Y2 @ X2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % le_cases
% 0.29/0.46 thf(fact_177_order_Otrans,axiom,
% 0.29/0.46 ! [A2: nat_int,B: nat_int,C2: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ A2 @ B )
% 0.29/0.46 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 0.29/0.46 => ( ord_less_eq_nat_int @ A2 @ C2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order.trans
% 0.29/0.46 thf(fact_178_order_Otrans,axiom,
% 0.29/0.46 ! [A2: view_e774982825t_unit,B: view_e774982825t_unit,C2: view_e774982825t_unit] :
% 0.29/0.46 ( ( ord_le461438217t_unit @ A2 @ B )
% 0.29/0.46 => ( ( ord_le461438217t_unit @ B @ C2 )
% 0.29/0.46 => ( ord_le461438217t_unit @ A2 @ C2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order.trans
% 0.29/0.46 thf(fact_179_order_Otrans,axiom,
% 0.29/0.46 ! [A2: real_int,B: real_int,C2: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ A2 @ B )
% 0.29/0.46 => ( ( ord_less_eq_real_int @ B @ C2 )
% 0.29/0.46 => ( ord_less_eq_real_int @ A2 @ C2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order.trans
% 0.29/0.46 thf(fact_180_order_Otrans,axiom,
% 0.29/0.46 ! [A2: nat,B: nat,C2: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ A2 @ B )
% 0.29/0.46 => ( ( ord_less_eq_nat @ B @ C2 )
% 0.29/0.46 => ( ord_less_eq_nat @ A2 @ C2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order.trans
% 0.29/0.46 thf(fact_181_le__cases3,axiom,
% 0.29/0.46 ! [X2: nat,Y2: nat,Z: nat] :
% 0.29/0.46 ( ( ( ord_less_eq_nat @ X2 @ Y2 )
% 0.29/0.46 => ~ ( ord_less_eq_nat @ Y2 @ Z ) )
% 0.29/0.46 => ( ( ( ord_less_eq_nat @ Y2 @ X2 )
% 0.29/0.46 => ~ ( ord_less_eq_nat @ X2 @ Z ) )
% 0.29/0.46 => ( ( ( ord_less_eq_nat @ X2 @ Z )
% 0.29/0.46 => ~ ( ord_less_eq_nat @ Z @ Y2 ) )
% 0.29/0.46 => ( ( ( ord_less_eq_nat @ Z @ Y2 )
% 0.29/0.46 => ~ ( ord_less_eq_nat @ Y2 @ X2 ) )
% 0.29/0.46 => ( ( ( ord_less_eq_nat @ Y2 @ Z )
% 0.29/0.46 => ~ ( ord_less_eq_nat @ Z @ X2 ) )
% 0.29/0.46 => ~ ( ( ord_less_eq_nat @ Z @ X2 )
% 0.29/0.46 => ~ ( ord_less_eq_nat @ X2 @ Y2 ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % le_cases3
% 0.29/0.46 thf(fact_182_antisym__conv,axiom,
% 0.29/0.46 ! [Y2: nat_int,X2: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ Y2 @ X2 )
% 0.29/0.46 => ( ( ord_less_eq_nat_int @ X2 @ Y2 )
% 0.29/0.46 = ( X2 = Y2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % antisym_conv
% 0.29/0.46 thf(fact_183_antisym__conv,axiom,
% 0.29/0.46 ! [Y2: view_e774982825t_unit,X2: view_e774982825t_unit] :
% 0.29/0.46 ( ( ord_le461438217t_unit @ Y2 @ X2 )
% 0.29/0.46 => ( ( ord_le461438217t_unit @ X2 @ Y2 )
% 0.29/0.46 = ( X2 = Y2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % antisym_conv
% 0.29/0.46 thf(fact_184_antisym__conv,axiom,
% 0.29/0.46 ! [Y2: real_int,X2: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ Y2 @ X2 )
% 0.29/0.46 => ( ( ord_less_eq_real_int @ X2 @ Y2 )
% 0.29/0.46 = ( X2 = Y2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % antisym_conv
% 0.29/0.46 thf(fact_185_antisym__conv,axiom,
% 0.29/0.46 ! [Y2: nat,X2: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ Y2 @ X2 )
% 0.29/0.46 => ( ( ord_less_eq_nat @ X2 @ Y2 )
% 0.29/0.46 = ( X2 = Y2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % antisym_conv
% 0.29/0.46 thf(fact_186_order__class_Oorder_Oeq__iff,axiom,
% 0.29/0.46 ( ( ^ [Y4: nat_int,Z3: nat_int] : ( Y4 = Z3 ) )
% 0.29/0.46 = ( ^ [A: nat_int,B2: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ A @ B2 )
% 0.29/0.46 & ( ord_less_eq_nat_int @ B2 @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_class.order.eq_iff
% 0.29/0.46 thf(fact_187_order__class_Oorder_Oeq__iff,axiom,
% 0.29/0.46 ( ( ^ [Y4: view_e774982825t_unit,Z3: view_e774982825t_unit] : ( Y4 = Z3 ) )
% 0.29/0.46 = ( ^ [A: view_e774982825t_unit,B2: view_e774982825t_unit] :
% 0.29/0.46 ( ( ord_le461438217t_unit @ A @ B2 )
% 0.29/0.46 & ( ord_le461438217t_unit @ B2 @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_class.order.eq_iff
% 0.29/0.46 thf(fact_188_order__class_Oorder_Oeq__iff,axiom,
% 0.29/0.46 ( ( ^ [Y4: real_int,Z3: real_int] : ( Y4 = Z3 ) )
% 0.29/0.46 = ( ^ [A: real_int,B2: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ A @ B2 )
% 0.29/0.46 & ( ord_less_eq_real_int @ B2 @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_class.order.eq_iff
% 0.29/0.46 thf(fact_189_order__class_Oorder_Oeq__iff,axiom,
% 0.29/0.46 ( ( ^ [Y4: nat,Z3: nat] : ( Y4 = Z3 ) )
% 0.29/0.46 = ( ^ [A: nat,B2: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ A @ B2 )
% 0.29/0.46 & ( ord_less_eq_nat @ B2 @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_class.order.eq_iff
% 0.29/0.46 thf(fact_190_ord__eq__le__trans,axiom,
% 0.29/0.46 ! [A2: nat_int,B: nat_int,C2: nat_int] :
% 0.29/0.46 ( ( A2 = B )
% 0.29/0.46 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 0.29/0.46 => ( ord_less_eq_nat_int @ A2 @ C2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_eq_le_trans
% 0.29/0.46 thf(fact_191_ord__eq__le__trans,axiom,
% 0.29/0.46 ! [A2: view_e774982825t_unit,B: view_e774982825t_unit,C2: view_e774982825t_unit] :
% 0.29/0.46 ( ( A2 = B )
% 0.29/0.46 => ( ( ord_le461438217t_unit @ B @ C2 )
% 0.29/0.46 => ( ord_le461438217t_unit @ A2 @ C2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_eq_le_trans
% 0.29/0.46 thf(fact_192_ord__eq__le__trans,axiom,
% 0.29/0.46 ! [A2: real_int,B: real_int,C2: real_int] :
% 0.29/0.46 ( ( A2 = B )
% 0.29/0.46 => ( ( ord_less_eq_real_int @ B @ C2 )
% 0.29/0.46 => ( ord_less_eq_real_int @ A2 @ C2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_eq_le_trans
% 0.29/0.46 thf(fact_193_ord__eq__le__trans,axiom,
% 0.29/0.46 ! [A2: nat,B: nat,C2: nat] :
% 0.29/0.46 ( ( A2 = B )
% 0.29/0.46 => ( ( ord_less_eq_nat @ B @ C2 )
% 0.29/0.46 => ( ord_less_eq_nat @ A2 @ C2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_eq_le_trans
% 0.29/0.46 thf(fact_194_ord__le__eq__trans,axiom,
% 0.29/0.46 ! [A2: nat_int,B: nat_int,C2: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ A2 @ B )
% 0.29/0.46 => ( ( B = C2 )
% 0.29/0.46 => ( ord_less_eq_nat_int @ A2 @ C2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_le_eq_trans
% 0.29/0.46 thf(fact_195_ord__le__eq__trans,axiom,
% 0.29/0.46 ! [A2: view_e774982825t_unit,B: view_e774982825t_unit,C2: view_e774982825t_unit] :
% 0.29/0.46 ( ( ord_le461438217t_unit @ A2 @ B )
% 0.29/0.46 => ( ( B = C2 )
% 0.29/0.46 => ( ord_le461438217t_unit @ A2 @ C2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_le_eq_trans
% 0.29/0.46 thf(fact_196_ord__le__eq__trans,axiom,
% 0.29/0.46 ! [A2: real_int,B: real_int,C2: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ A2 @ B )
% 0.29/0.46 => ( ( B = C2 )
% 0.29/0.46 => ( ord_less_eq_real_int @ A2 @ C2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_le_eq_trans
% 0.29/0.46 thf(fact_197_ord__le__eq__trans,axiom,
% 0.29/0.46 ! [A2: nat,B: nat,C2: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ A2 @ B )
% 0.29/0.46 => ( ( B = C2 )
% 0.29/0.46 => ( ord_less_eq_nat @ A2 @ C2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ord_le_eq_trans
% 0.29/0.46 thf(fact_198_order__class_Oorder_Oantisym,axiom,
% 0.29/0.46 ! [A2: nat_int,B: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ A2 @ B )
% 0.29/0.46 => ( ( ord_less_eq_nat_int @ B @ A2 )
% 0.29/0.46 => ( A2 = B ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_class.order.antisym
% 0.29/0.46 thf(fact_199_order__class_Oorder_Oantisym,axiom,
% 0.29/0.46 ! [A2: view_e774982825t_unit,B: view_e774982825t_unit] :
% 0.29/0.46 ( ( ord_le461438217t_unit @ A2 @ B )
% 0.29/0.46 => ( ( ord_le461438217t_unit @ B @ A2 )
% 0.29/0.46 => ( A2 = B ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_class.order.antisym
% 0.29/0.46 thf(fact_200_order__class_Oorder_Oantisym,axiom,
% 0.29/0.46 ! [A2: real_int,B: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ A2 @ B )
% 0.29/0.46 => ( ( ord_less_eq_real_int @ B @ A2 )
% 0.29/0.46 => ( A2 = B ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_class.order.antisym
% 0.29/0.46 thf(fact_201_order__class_Oorder_Oantisym,axiom,
% 0.29/0.46 ! [A2: nat,B: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ A2 @ B )
% 0.29/0.46 => ( ( ord_less_eq_nat @ B @ A2 )
% 0.29/0.46 => ( A2 = B ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_class.order.antisym
% 0.29/0.46 thf(fact_202_order__trans,axiom,
% 0.29/0.46 ! [X2: nat_int,Y2: nat_int,Z: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ X2 @ Y2 )
% 0.29/0.46 => ( ( ord_less_eq_nat_int @ Y2 @ Z )
% 0.29/0.46 => ( ord_less_eq_nat_int @ X2 @ Z ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_trans
% 0.29/0.46 thf(fact_203_order__trans,axiom,
% 0.29/0.46 ! [X2: view_e774982825t_unit,Y2: view_e774982825t_unit,Z: view_e774982825t_unit] :
% 0.29/0.46 ( ( ord_le461438217t_unit @ X2 @ Y2 )
% 0.29/0.46 => ( ( ord_le461438217t_unit @ Y2 @ Z )
% 0.29/0.46 => ( ord_le461438217t_unit @ X2 @ Z ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_trans
% 0.29/0.46 thf(fact_204_order__trans,axiom,
% 0.29/0.46 ! [X2: real_int,Y2: real_int,Z: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ X2 @ Y2 )
% 0.29/0.46 => ( ( ord_less_eq_real_int @ Y2 @ Z )
% 0.29/0.46 => ( ord_less_eq_real_int @ X2 @ Z ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_trans
% 0.29/0.46 thf(fact_205_order__trans,axiom,
% 0.29/0.46 ! [X2: nat,Y2: nat,Z: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ X2 @ Y2 )
% 0.29/0.46 => ( ( ord_less_eq_nat @ Y2 @ Z )
% 0.29/0.46 => ( ord_less_eq_nat @ X2 @ Z ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % order_trans
% 0.29/0.46 thf(fact_206_dual__order_Orefl,axiom,
% 0.29/0.46 ! [A2: nat_int] : ( ord_less_eq_nat_int @ A2 @ A2 ) ).
% 0.29/0.46
% 0.29/0.46 % dual_order.refl
% 0.29/0.46 thf(fact_207_dual__order_Orefl,axiom,
% 0.29/0.46 ! [A2: view_e774982825t_unit] : ( ord_le461438217t_unit @ A2 @ A2 ) ).
% 0.29/0.46
% 0.29/0.46 % dual_order.refl
% 0.29/0.46 thf(fact_208_dual__order_Orefl,axiom,
% 0.29/0.46 ! [A2: real_int] : ( ord_less_eq_real_int @ A2 @ A2 ) ).
% 0.29/0.46
% 0.29/0.46 % dual_order.refl
% 0.29/0.46 thf(fact_209_dual__order_Orefl,axiom,
% 0.29/0.46 ! [A2: nat] : ( ord_less_eq_nat @ A2 @ A2 ) ).
% 0.29/0.46
% 0.29/0.46 % dual_order.refl
% 0.29/0.46 thf(fact_210_linorder__wlog,axiom,
% 0.29/0.46 ! [P: nat > nat > $o,A2: nat,B: nat] :
% 0.29/0.46 ( ! [A3: nat,B3: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ A3 @ B3 )
% 0.29/0.46 => ( P @ A3 @ B3 ) )
% 0.29/0.46 => ( ! [A3: nat,B3: nat] :
% 0.29/0.46 ( ( P @ B3 @ A3 )
% 0.29/0.46 => ( P @ A3 @ B3 ) )
% 0.29/0.46 => ( P @ A2 @ B ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % linorder_wlog
% 0.29/0.46 thf(fact_211_dual__order_Otrans,axiom,
% 0.29/0.46 ! [B: nat_int,A2: nat_int,C2: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ B @ A2 )
% 0.29/0.46 => ( ( ord_less_eq_nat_int @ C2 @ B )
% 0.29/0.46 => ( ord_less_eq_nat_int @ C2 @ A2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % dual_order.trans
% 0.29/0.46 thf(fact_212_dual__order_Otrans,axiom,
% 0.29/0.46 ! [B: view_e774982825t_unit,A2: view_e774982825t_unit,C2: view_e774982825t_unit] :
% 0.29/0.46 ( ( ord_le461438217t_unit @ B @ A2 )
% 0.29/0.46 => ( ( ord_le461438217t_unit @ C2 @ B )
% 0.29/0.46 => ( ord_le461438217t_unit @ C2 @ A2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % dual_order.trans
% 0.29/0.46 thf(fact_213_dual__order_Otrans,axiom,
% 0.29/0.46 ! [B: real_int,A2: real_int,C2: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ B @ A2 )
% 0.29/0.46 => ( ( ord_less_eq_real_int @ C2 @ B )
% 0.29/0.46 => ( ord_less_eq_real_int @ C2 @ A2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % dual_order.trans
% 0.29/0.46 thf(fact_214_dual__order_Otrans,axiom,
% 0.29/0.46 ! [B: nat,A2: nat,C2: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ B @ A2 )
% 0.29/0.46 => ( ( ord_less_eq_nat @ C2 @ B )
% 0.29/0.46 => ( ord_less_eq_nat @ C2 @ A2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % dual_order.trans
% 0.29/0.46 thf(fact_215_dual__order_Oeq__iff,axiom,
% 0.29/0.46 ( ( ^ [Y4: nat_int,Z3: nat_int] : ( Y4 = Z3 ) )
% 0.29/0.46 = ( ^ [A: nat_int,B2: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ B2 @ A )
% 0.29/0.46 & ( ord_less_eq_nat_int @ A @ B2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % dual_order.eq_iff
% 0.29/0.46 thf(fact_216_dual__order_Oeq__iff,axiom,
% 0.29/0.46 ( ( ^ [Y4: view_e774982825t_unit,Z3: view_e774982825t_unit] : ( Y4 = Z3 ) )
% 0.29/0.46 = ( ^ [A: view_e774982825t_unit,B2: view_e774982825t_unit] :
% 0.29/0.46 ( ( ord_le461438217t_unit @ B2 @ A )
% 0.29/0.46 & ( ord_le461438217t_unit @ A @ B2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % dual_order.eq_iff
% 0.29/0.46 thf(fact_217_dual__order_Oeq__iff,axiom,
% 0.29/0.46 ( ( ^ [Y4: real_int,Z3: real_int] : ( Y4 = Z3 ) )
% 0.29/0.46 = ( ^ [A: real_int,B2: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ B2 @ A )
% 0.29/0.46 & ( ord_less_eq_real_int @ A @ B2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % dual_order.eq_iff
% 0.29/0.46 thf(fact_218_dual__order_Oeq__iff,axiom,
% 0.29/0.46 ( ( ^ [Y4: nat,Z3: nat] : ( Y4 = Z3 ) )
% 0.29/0.46 = ( ^ [A: nat,B2: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ B2 @ A )
% 0.29/0.46 & ( ord_less_eq_nat @ A @ B2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % dual_order.eq_iff
% 0.29/0.46 thf(fact_219_dual__order_Oantisym,axiom,
% 0.29/0.46 ! [B: nat_int,A2: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ B @ A2 )
% 0.29/0.46 => ( ( ord_less_eq_nat_int @ A2 @ B )
% 0.29/0.46 => ( A2 = B ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % dual_order.antisym
% 0.29/0.46 thf(fact_220_dual__order_Oantisym,axiom,
% 0.29/0.46 ! [B: view_e774982825t_unit,A2: view_e774982825t_unit] :
% 0.29/0.46 ( ( ord_le461438217t_unit @ B @ A2 )
% 0.29/0.46 => ( ( ord_le461438217t_unit @ A2 @ B )
% 0.29/0.46 => ( A2 = B ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % dual_order.antisym
% 0.29/0.46 thf(fact_221_dual__order_Oantisym,axiom,
% 0.29/0.46 ! [B: real_int,A2: real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ B @ A2 )
% 0.29/0.46 => ( ( ord_less_eq_real_int @ A2 @ B )
% 0.29/0.46 => ( A2 = B ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % dual_order.antisym
% 0.29/0.46 thf(fact_222_dual__order_Oantisym,axiom,
% 0.29/0.46 ! [B: nat,A2: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ B @ A2 )
% 0.29/0.46 => ( ( ord_less_eq_nat @ A2 @ B )
% 0.29/0.46 => ( A2 = B ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % dual_order.antisym
% 0.29/0.46 thf(fact_223_less__eq__view__ext__def,axiom,
% 0.29/0.46 ( ord_le1902160870at_int
% 0.29/0.46 = ( ^ [V9: view_ext_nat_int,V10: view_ext_nat_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ ( ext_nat_int @ V9 ) @ ( ext_nat_int @ V10 ) )
% 0.29/0.46 & ( ord_less_eq_nat_int @ ( lan_nat_int @ V9 ) @ ( lan_nat_int @ V10 ) )
% 0.29/0.46 & ( ( own_nat_int @ V9 )
% 0.29/0.46 = ( own_nat_int @ V10 ) )
% 0.29/0.46 & ( ord_less_eq_nat_int @ ( more_nat_int @ V9 ) @ ( more_nat_int @ V10 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % less_eq_view_ext_def
% 0.29/0.46 thf(fact_224_less__eq__view__ext__def,axiom,
% 0.29/0.46 ( ord_le63244867t_unit
% 0.29/0.46 = ( ^ [V9: view_e665166499t_unit,V10: view_e665166499t_unit] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ ( ext_vi2102772532t_unit @ V9 ) @ ( ext_vi2102772532t_unit @ V10 ) )
% 0.29/0.46 & ( ord_less_eq_nat_int @ ( lan_vi1543476748t_unit @ V9 ) @ ( lan_vi1543476748t_unit @ V10 ) )
% 0.29/0.46 & ( ( own_vi676290681t_unit @ V9 )
% 0.29/0.46 = ( own_vi676290681t_unit @ V10 ) )
% 0.29/0.46 & ( ord_le461438217t_unit @ ( more_v92543030t_unit @ V9 ) @ ( more_v92543030t_unit @ V10 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % less_eq_view_ext_def
% 0.29/0.46 thf(fact_225_less__eq__view__ext__def,axiom,
% 0.29/0.46 ( ord_le1863101098al_int
% 0.29/0.46 = ( ^ [V9: view_ext_real_int,V10: view_ext_real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ ( ext_real_int @ V9 ) @ ( ext_real_int @ V10 ) )
% 0.29/0.46 & ( ord_less_eq_nat_int @ ( lan_real_int @ V9 ) @ ( lan_real_int @ V10 ) )
% 0.29/0.46 & ( ( own_real_int @ V9 )
% 0.29/0.46 = ( own_real_int @ V10 ) )
% 0.29/0.46 & ( ord_less_eq_real_int @ ( more_real_int @ V9 ) @ ( more_real_int @ V10 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % less_eq_view_ext_def
% 0.29/0.46 thf(fact_226_less__eq__view__ext__def,axiom,
% 0.29/0.46 ( ord_le1036425834xt_nat
% 0.29/0.46 = ( ^ [V9: view_ext_nat,V10: view_ext_nat] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ ( ext_nat @ V9 ) @ ( ext_nat @ V10 ) )
% 0.29/0.46 & ( ord_less_eq_nat_int @ ( lan_nat @ V9 ) @ ( lan_nat @ V10 ) )
% 0.29/0.46 & ( ( own_nat @ V9 )
% 0.29/0.46 = ( own_nat @ V10 ) )
% 0.29/0.46 & ( ord_less_eq_nat @ ( more_nat @ V9 ) @ ( more_nat @ V10 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % less_eq_view_ext_def
% 0.29/0.46 thf(fact_227_less__eq__view__ext__def,axiom,
% 0.29/0.46 ( ord_le461438217t_unit
% 0.29/0.46 = ( ^ [V9: view_e774982825t_unit,V10: view_e774982825t_unit] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ ( ext_Product_unit @ V9 ) @ ( ext_Product_unit @ V10 ) )
% 0.29/0.46 & ( ord_less_eq_nat_int @ ( lan_Product_unit @ V9 ) @ ( lan_Product_unit @ V10 ) )
% 0.29/0.46 & ( ( own_Product_unit @ V9 )
% 0.29/0.46 = ( own_Product_unit @ V10 ) )
% 0.29/0.46 & ( ord_le1997193645t_unit @ ( more_Product_unit @ V9 ) @ ( more_Product_unit @ V10 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % less_eq_view_ext_def
% 0.29/0.46 thf(fact_228_bot_Oextremum,axiom,
% 0.29/0.46 ! [A2: product_unit] : ( ord_le1997193645t_unit @ bot_bot_Product_unit @ A2 ) ).
% 0.29/0.46
% 0.29/0.46 % bot.extremum
% 0.29/0.46 thf(fact_229_bot_Oextremum,axiom,
% 0.29/0.46 ! [A2: nat_int] : ( ord_less_eq_nat_int @ bot_bot_nat_int @ A2 ) ).
% 0.29/0.46
% 0.29/0.46 % bot.extremum
% 0.29/0.46 thf(fact_230_bot_Oextremum,axiom,
% 0.29/0.46 ! [A2: nat] : ( ord_less_eq_nat @ bot_bot_nat @ A2 ) ).
% 0.29/0.46
% 0.29/0.46 % bot.extremum
% 0.29/0.46 thf(fact_231_bot_Oextremum__unique,axiom,
% 0.29/0.46 ! [A2: product_unit] :
% 0.29/0.46 ( ( ord_le1997193645t_unit @ A2 @ bot_bot_Product_unit )
% 0.29/0.46 = ( A2 = bot_bot_Product_unit ) ) ).
% 0.29/0.46
% 0.29/0.46 % bot.extremum_unique
% 0.29/0.46 thf(fact_232_bot_Oextremum__unique,axiom,
% 0.29/0.46 ! [A2: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ A2 @ bot_bot_nat_int )
% 0.29/0.46 = ( A2 = bot_bot_nat_int ) ) ).
% 0.29/0.46
% 0.29/0.46 % bot.extremum_unique
% 0.29/0.46 thf(fact_233_bot_Oextremum__unique,axiom,
% 0.29/0.46 ! [A2: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ A2 @ bot_bot_nat )
% 0.29/0.46 = ( A2 = bot_bot_nat ) ) ).
% 0.29/0.46
% 0.29/0.46 % bot.extremum_unique
% 0.29/0.46 thf(fact_234_bot_Oextremum__uniqueI,axiom,
% 0.29/0.46 ! [A2: product_unit] :
% 0.29/0.46 ( ( ord_le1997193645t_unit @ A2 @ bot_bot_Product_unit )
% 0.29/0.46 => ( A2 = bot_bot_Product_unit ) ) ).
% 0.29/0.46
% 0.29/0.46 % bot.extremum_uniqueI
% 0.29/0.46 thf(fact_235_bot_Oextremum__uniqueI,axiom,
% 0.29/0.46 ! [A2: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ A2 @ bot_bot_nat_int )
% 0.29/0.46 => ( A2 = bot_bot_nat_int ) ) ).
% 0.29/0.46
% 0.29/0.46 % bot.extremum_uniqueI
% 0.29/0.46 thf(fact_236_bot_Oextremum__uniqueI,axiom,
% 0.29/0.46 ! [A2: nat] :
% 0.29/0.46 ( ( ord_less_eq_nat @ A2 @ bot_bot_nat )
% 0.29/0.46 => ( A2 = bot_bot_nat ) ) ).
% 0.29/0.46
% 0.29/0.46 % bot.extremum_uniqueI
% 0.29/0.46 thf(fact_237_traffic_Ocreate__res__subseteq1,axiom,
% 0.29/0.46 ! [Ts4: traffic,C2: cars,Ts7: traffic] :
% 0.29/0.46 ( ( create_reservation @ Ts4 @ C2 @ Ts7 )
% 0.29/0.46 => ( ord_less_eq_nat_int @ ( res @ Ts4 @ C2 ) @ ( res @ Ts7 @ C2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.create_res_subseteq1
% 0.29/0.46 thf(fact_238_traffic_Owithdraw__res__subseteq,axiom,
% 0.29/0.46 ! [Ts4: traffic,D: cars,N: nat,Ts7: traffic,C2: cars] :
% 0.29/0.46 ( ( withdraw_reservation @ Ts4 @ D @ N @ Ts7 )
% 0.29/0.46 => ( ord_less_eq_nat_int @ ( res @ Ts7 @ C2 ) @ ( res @ Ts4 @ C2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % traffic.withdraw_res_subseteq
% 0.29/0.46 thf(fact_239_default__unit__def,axiom,
% 0.29/0.46 defaul1399868459t_unit = product_Unity ).
% 0.29/0.46
% 0.29/0.46 % default_unit_def
% 0.29/0.46 thf(fact_240_less__view__ext__def,axiom,
% 0.29/0.46 ( ord_le1993783549t_unit
% 0.29/0.46 = ( ^ [V9: view_e774982825t_unit,V10: view_e774982825t_unit] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ ( ext_Product_unit @ V9 ) @ ( ext_Product_unit @ V10 ) )
% 0.29/0.46 & ( ord_less_eq_nat_int @ ( lan_Product_unit @ V9 ) @ ( lan_Product_unit @ V10 ) )
% 0.29/0.46 & ( ( own_Product_unit @ V10 )
% 0.29/0.46 = ( own_Product_unit @ V9 ) )
% 0.29/0.46 & ( ord_le1997193645t_unit @ ( more_Product_unit @ V9 ) @ ( more_Product_unit @ V10 ) )
% 0.29/0.46 & ~ ( ( ord_less_eq_real_int @ ( ext_Product_unit @ V10 ) @ ( ext_Product_unit @ V9 ) )
% 0.29/0.46 & ( ord_less_eq_nat_int @ ( lan_Product_unit @ V10 ) @ ( lan_Product_unit @ V9 ) )
% 0.29/0.46 & ( ( own_Product_unit @ V10 )
% 0.29/0.46 = ( own_Product_unit @ V9 ) )
% 0.29/0.46 & ( ord_le1997193645t_unit @ ( more_Product_unit @ V10 ) @ ( more_Product_unit @ V9 ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % less_view_ext_def
% 0.29/0.46 thf(fact_241_less__view__ext__def,axiom,
% 0.29/0.46 ( ord_le893810930at_int
% 0.29/0.46 = ( ^ [V9: view_ext_nat_int,V10: view_ext_nat_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ ( ext_nat_int @ V9 ) @ ( ext_nat_int @ V10 ) )
% 0.29/0.46 & ( ord_less_eq_nat_int @ ( lan_nat_int @ V9 ) @ ( lan_nat_int @ V10 ) )
% 0.29/0.46 & ( ( own_nat_int @ V10 )
% 0.29/0.46 = ( own_nat_int @ V9 ) )
% 0.29/0.46 & ( ord_less_eq_nat_int @ ( more_nat_int @ V9 ) @ ( more_nat_int @ V10 ) )
% 0.29/0.46 & ~ ( ( ord_less_eq_real_int @ ( ext_nat_int @ V10 ) @ ( ext_nat_int @ V9 ) )
% 0.29/0.46 & ( ord_less_eq_nat_int @ ( lan_nat_int @ V10 ) @ ( lan_nat_int @ V9 ) )
% 0.29/0.46 & ( ( own_nat_int @ V10 )
% 0.29/0.46 = ( own_nat_int @ V9 ) )
% 0.29/0.46 & ( ord_less_eq_nat_int @ ( more_nat_int @ V10 ) @ ( more_nat_int @ V9 ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % less_view_ext_def
% 0.29/0.46 thf(fact_242_less__view__ext__def,axiom,
% 0.29/0.46 ( ord_le750644047t_unit
% 0.29/0.46 = ( ^ [V9: view_e665166499t_unit,V10: view_e665166499t_unit] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ ( ext_vi2102772532t_unit @ V9 ) @ ( ext_vi2102772532t_unit @ V10 ) )
% 0.29/0.46 & ( ord_less_eq_nat_int @ ( lan_vi1543476748t_unit @ V9 ) @ ( lan_vi1543476748t_unit @ V10 ) )
% 0.29/0.46 & ( ( own_vi676290681t_unit @ V10 )
% 0.29/0.46 = ( own_vi676290681t_unit @ V9 ) )
% 0.29/0.46 & ( ord_le461438217t_unit @ ( more_v92543030t_unit @ V9 ) @ ( more_v92543030t_unit @ V10 ) )
% 0.29/0.46 & ~ ( ( ord_less_eq_real_int @ ( ext_vi2102772532t_unit @ V10 ) @ ( ext_vi2102772532t_unit @ V9 ) )
% 0.29/0.46 & ( ord_less_eq_nat_int @ ( lan_vi1543476748t_unit @ V10 ) @ ( lan_vi1543476748t_unit @ V9 ) )
% 0.29/0.46 & ( ( own_vi676290681t_unit @ V10 )
% 0.29/0.46 = ( own_vi676290681t_unit @ V9 ) )
% 0.29/0.46 & ( ord_le461438217t_unit @ ( more_v92543030t_unit @ V10 ) @ ( more_v92543030t_unit @ V9 ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % less_view_ext_def
% 0.29/0.46 thf(fact_243_less__view__ext__def,axiom,
% 0.29/0.46 ( ord_le147108278al_int
% 0.29/0.46 = ( ^ [V9: view_ext_real_int,V10: view_ext_real_int] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ ( ext_real_int @ V9 ) @ ( ext_real_int @ V10 ) )
% 0.29/0.46 & ( ord_less_eq_nat_int @ ( lan_real_int @ V9 ) @ ( lan_real_int @ V10 ) )
% 0.29/0.46 & ( ( own_real_int @ V10 )
% 0.29/0.46 = ( own_real_int @ V9 ) )
% 0.29/0.46 & ( ord_less_eq_real_int @ ( more_real_int @ V9 ) @ ( more_real_int @ V10 ) )
% 0.29/0.46 & ~ ( ( ord_less_eq_real_int @ ( ext_real_int @ V10 ) @ ( ext_real_int @ V9 ) )
% 0.29/0.46 & ( ord_less_eq_nat_int @ ( lan_real_int @ V10 ) @ ( lan_real_int @ V9 ) )
% 0.29/0.46 & ( ( own_real_int @ V10 )
% 0.29/0.46 = ( own_real_int @ V9 ) )
% 0.29/0.46 & ( ord_less_eq_real_int @ ( more_real_int @ V10 ) @ ( more_real_int @ V9 ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % less_view_ext_def
% 0.29/0.46 thf(fact_244_less__view__ext__def,axiom,
% 0.29/0.46 ( ord_le1522419062xt_nat
% 0.29/0.46 = ( ^ [V9: view_ext_nat,V10: view_ext_nat] :
% 0.29/0.46 ( ( ord_less_eq_real_int @ ( ext_nat @ V9 ) @ ( ext_nat @ V10 ) )
% 0.29/0.46 & ( ord_less_eq_nat_int @ ( lan_nat @ V9 ) @ ( lan_nat @ V10 ) )
% 0.29/0.46 & ( ( own_nat @ V10 )
% 0.29/0.46 = ( own_nat @ V9 ) )
% 0.29/0.46 & ( ord_less_eq_nat @ ( more_nat @ V9 ) @ ( more_nat @ V10 ) )
% 0.29/0.46 & ~ ( ( ord_less_eq_real_int @ ( ext_nat @ V10 ) @ ( ext_nat @ V9 ) )
% 0.29/0.46 & ( ord_less_eq_nat_int @ ( lan_nat @ V10 ) @ ( lan_nat @ V9 ) )
% 0.29/0.46 & ( ( own_nat @ V10 )
% 0.29/0.46 = ( own_nat @ V9 ) )
% 0.29/0.46 & ( ord_less_eq_nat @ ( more_nat @ V10 ) @ ( more_nat @ V9 ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % less_view_ext_def
% 0.29/0.46 thf(fact_245_diff__mono,axiom,
% 0.29/0.46 ! [A2: real,B: real,D: real,C2: real] :
% 0.29/0.46 ( ( ord_less_eq_real @ A2 @ B )
% 0.29/0.46 => ( ( ord_less_eq_real @ D @ C2 )
% 0.29/0.46 => ( ord_less_eq_real @ ( minus_minus_real @ A2 @ C2 ) @ ( minus_minus_real @ B @ D ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % diff_mono
% 0.29/0.46 thf(fact_246_leD,axiom,
% 0.29/0.46 ! [Y2: nat_int,X2: nat_int] :
% 0.29/0.46 ( ( ord_less_eq_nat_int @ Y2 @ X2 )
% 0.29/0.46 => ~ ( ord_less_nat_int @ X2 @ Y2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % leD
% 0.29/0.46 thf(fact_247_leD,axiom,
% 0.29/0.46 ! [Y2: view_e774982825t_unit,X2: view_e774982825t_unit] :
% 0.29/0.46 ( ( ord_le461438217t_unit @ Y2 @ X2 )
% 0.29/0.46 => ~ ( ord_le1993783549t_unit @ X2 @ Y2 ) ) ).
% 0.29/0.47
% 0.29/0.47 % leD
% 0.29/0.47 thf(fact_248_leD,axiom,
% 0.29/0.47 ! [Y2: real_int,X2: real_int] :
% 0.29/0.47 ( ( ord_less_eq_real_int @ Y2 @ X2 )
% 0.29/0.47 => ~ ( ord_less_real_int @ X2 @ Y2 ) ) ).
% 0.29/0.47
% 0.29/0.47 % leD
% 0.29/0.47 thf(fact_249_leD,axiom,
% 0.29/0.47 ! [Y2: nat,X2: nat] :
% 0.29/0.47 ( ( ord_less_eq_nat @ Y2 @ X2 )
% 0.29/0.47 => ~ ( ord_less_nat @ X2 @ Y2 ) ) ).
% 0.29/0.47
% 0.29/0.47 % leD
% 0.29/0.47 thf(fact_250_leI,axiom,
% 0.29/0.47 ! [X2: nat,Y2: nat] :
% 0.29/0.47 ( ~ ( ord_less_nat @ X2 @ Y2 )
% 0.29/0.47 => ( ord_less_eq_nat @ Y2 @ X2 ) ) ).
% 0.29/0.47
% 0.29/0.47 % leI
% 0.29/0.47 thf(fact_251_le__less,axiom,
% 0.29/0.47 ( ord_less_eq_nat_int
% 0.29/0.47 = ( ^ [X: nat_int,Y: nat_int] :
% 0.29/0.47 ( ( ord_less_nat_int @ X @ Y )
% 0.29/0.47 | ( X = Y ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % le_less
% 0.29/0.47 thf(fact_252_le__less,axiom,
% 0.29/0.47 ( ord_le461438217t_unit
% 0.29/0.47 = ( ^ [X: view_e774982825t_unit,Y: view_e774982825t_unit] :
% 0.29/0.47 ( ( ord_le1993783549t_unit @ X @ Y )
% 0.29/0.47 | ( X = Y ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % le_less
% 0.29/0.47 thf(fact_253_le__less,axiom,
% 0.29/0.47 ( ord_less_eq_real_int
% 0.29/0.47 = ( ^ [X: real_int,Y: real_int] :
% 0.29/0.47 ( ( ord_less_real_int @ X @ Y )
% 0.29/0.47 | ( X = Y ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % le_less
% 0.29/0.47 thf(fact_254_le__less,axiom,
% 0.29/0.47 ( ord_less_eq_nat
% 0.29/0.47 = ( ^ [X: nat,Y: nat] :
% 0.29/0.47 ( ( ord_less_nat @ X @ Y )
% 0.29/0.47 | ( X = Y ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % le_less
% 0.29/0.47 thf(fact_255_less__le,axiom,
% 0.29/0.47 ( ord_less_nat_int
% 0.29/0.47 = ( ^ [X: nat_int,Y: nat_int] :
% 0.29/0.47 ( ( ord_less_eq_nat_int @ X @ Y )
% 0.29/0.47 & ( X != Y ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % less_le
% 0.29/0.47 thf(fact_256_less__le,axiom,
% 0.29/0.47 ( ord_le1993783549t_unit
% 0.29/0.47 = ( ^ [X: view_e774982825t_unit,Y: view_e774982825t_unit] :
% 0.29/0.47 ( ( ord_le461438217t_unit @ X @ Y )
% 0.29/0.47 & ( X != Y ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % less_le
% 0.29/0.47 thf(fact_257_less__le,axiom,
% 0.29/0.47 ( ord_less_real_int
% 0.29/0.47 = ( ^ [X: real_int,Y: real_int] :
% 0.29/0.47 ( ( ord_less_eq_real_int @ X @ Y )
% 0.29/0.47 & ( X != Y ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % less_le
% 0.29/0.47 thf(fact_258_less__le,axiom,
% 0.29/0.47 ( ord_less_nat
% 0.29/0.47 = ( ^ [X: nat,Y: nat] :
% 0.29/0.47 ( ( ord_less_eq_nat @ X @ Y )
% 0.29/0.47 & ( X != Y ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % less_le
% 0.29/0.47 thf(fact_259_order__le__less__subst1,axiom,
% 0.29/0.47 ! [A2: nat_int,F: nat_int > nat_int,B: nat_int,C2: nat_int] :
% 0.29/0.47 ( ( ord_less_eq_nat_int @ A2 @ ( F @ B ) )
% 0.29/0.47 => ( ( ord_less_nat_int @ B @ C2 )
% 0.29/0.47 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.47 ( ( ord_less_nat_int @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_le_less_subst1
% 0.29/0.47 thf(fact_260_order__le__less__subst1,axiom,
% 0.29/0.47 ! [A2: nat_int,F: nat > nat_int,B: nat,C2: nat] :
% 0.29/0.47 ( ( ord_less_eq_nat_int @ A2 @ ( F @ B ) )
% 0.29/0.47 => ( ( ord_less_nat @ B @ C2 )
% 0.29/0.47 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.47 ( ( ord_less_nat @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_le_less_subst1
% 0.29/0.47 thf(fact_261_order__le__less__subst1,axiom,
% 0.29/0.47 ! [A2: view_e774982825t_unit,F: nat_int > view_e774982825t_unit,B: nat_int,C2: nat_int] :
% 0.29/0.47 ( ( ord_le461438217t_unit @ A2 @ ( F @ B ) )
% 0.29/0.47 => ( ( ord_less_nat_int @ B @ C2 )
% 0.29/0.47 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.47 ( ( ord_less_nat_int @ X3 @ Y3 )
% 0.29/0.47 => ( ord_le1993783549t_unit @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_le1993783549t_unit @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_le_less_subst1
% 0.29/0.47 thf(fact_262_order__le__less__subst1,axiom,
% 0.29/0.47 ! [A2: view_e774982825t_unit,F: nat > view_e774982825t_unit,B: nat,C2: nat] :
% 0.29/0.47 ( ( ord_le461438217t_unit @ A2 @ ( F @ B ) )
% 0.29/0.47 => ( ( ord_less_nat @ B @ C2 )
% 0.29/0.47 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.47 ( ( ord_less_nat @ X3 @ Y3 )
% 0.29/0.47 => ( ord_le1993783549t_unit @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_le1993783549t_unit @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_le_less_subst1
% 0.29/0.47 thf(fact_263_order__le__less__subst1,axiom,
% 0.29/0.47 ! [A2: real_int,F: nat_int > real_int,B: nat_int,C2: nat_int] :
% 0.29/0.47 ( ( ord_less_eq_real_int @ A2 @ ( F @ B ) )
% 0.29/0.47 => ( ( ord_less_nat_int @ B @ C2 )
% 0.29/0.47 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.47 ( ( ord_less_nat_int @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_real_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_le_less_subst1
% 0.29/0.47 thf(fact_264_order__le__less__subst1,axiom,
% 0.29/0.47 ! [A2: real_int,F: nat > real_int,B: nat,C2: nat] :
% 0.29/0.47 ( ( ord_less_eq_real_int @ A2 @ ( F @ B ) )
% 0.29/0.47 => ( ( ord_less_nat @ B @ C2 )
% 0.29/0.47 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.47 ( ( ord_less_nat @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_real_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_le_less_subst1
% 0.29/0.47 thf(fact_265_order__le__less__subst1,axiom,
% 0.29/0.47 ! [A2: nat,F: nat_int > nat,B: nat_int,C2: nat_int] :
% 0.29/0.47 ( ( ord_less_eq_nat @ A2 @ ( F @ B ) )
% 0.29/0.47 => ( ( ord_less_nat_int @ B @ C2 )
% 0.29/0.47 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.47 ( ( ord_less_nat_int @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_nat @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_le_less_subst1
% 0.29/0.47 thf(fact_266_order__le__less__subst1,axiom,
% 0.29/0.47 ! [A2: nat,F: nat > nat,B: nat,C2: nat] :
% 0.29/0.47 ( ( ord_less_eq_nat @ A2 @ ( F @ B ) )
% 0.29/0.47 => ( ( ord_less_nat @ B @ C2 )
% 0.29/0.47 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.47 ( ( ord_less_nat @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_nat @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_le_less_subst1
% 0.29/0.47 thf(fact_267_order__le__less__subst2,axiom,
% 0.29/0.47 ! [A2: nat_int,B: nat_int,F: nat_int > nat_int,C2: nat_int] :
% 0.29/0.47 ( ( ord_less_eq_nat_int @ A2 @ B )
% 0.29/0.47 => ( ( ord_less_nat_int @ ( F @ B ) @ C2 )
% 0.29/0.47 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.47 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_nat_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_le_less_subst2
% 0.29/0.47 thf(fact_268_order__le__less__subst2,axiom,
% 0.29/0.47 ! [A2: nat_int,B: nat_int,F: nat_int > real_int,C2: real_int] :
% 0.29/0.47 ( ( ord_less_eq_nat_int @ A2 @ B )
% 0.29/0.47 => ( ( ord_less_real_int @ ( F @ B ) @ C2 )
% 0.29/0.47 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.47 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_real_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_le_less_subst2
% 0.29/0.47 thf(fact_269_order__le__less__subst2,axiom,
% 0.29/0.47 ! [A2: nat_int,B: nat_int,F: nat_int > nat,C2: nat] :
% 0.29/0.47 ( ( ord_less_eq_nat_int @ A2 @ B )
% 0.29/0.47 => ( ( ord_less_nat @ ( F @ B ) @ C2 )
% 0.29/0.47 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.47 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_nat @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_le_less_subst2
% 0.29/0.47 thf(fact_270_order__le__less__subst2,axiom,
% 0.29/0.47 ! [A2: real_int,B: real_int,F: real_int > nat_int,C2: nat_int] :
% 0.29/0.47 ( ( ord_less_eq_real_int @ A2 @ B )
% 0.29/0.47 => ( ( ord_less_nat_int @ ( F @ B ) @ C2 )
% 0.29/0.47 => ( ! [X3: real_int,Y3: real_int] :
% 0.29/0.47 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_nat_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_le_less_subst2
% 0.29/0.47 thf(fact_271_order__le__less__subst2,axiom,
% 0.29/0.47 ! [A2: real_int,B: real_int,F: real_int > real_int,C2: real_int] :
% 0.29/0.47 ( ( ord_less_eq_real_int @ A2 @ B )
% 0.29/0.47 => ( ( ord_less_real_int @ ( F @ B ) @ C2 )
% 0.29/0.47 => ( ! [X3: real_int,Y3: real_int] :
% 0.29/0.47 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_real_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_le_less_subst2
% 0.29/0.47 thf(fact_272_order__le__less__subst2,axiom,
% 0.29/0.47 ! [A2: real_int,B: real_int,F: real_int > nat,C2: nat] :
% 0.29/0.47 ( ( ord_less_eq_real_int @ A2 @ B )
% 0.29/0.47 => ( ( ord_less_nat @ ( F @ B ) @ C2 )
% 0.29/0.47 => ( ! [X3: real_int,Y3: real_int] :
% 0.29/0.47 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_nat @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_le_less_subst2
% 0.29/0.47 thf(fact_273_order__le__less__subst2,axiom,
% 0.29/0.47 ! [A2: nat,B: nat,F: nat > nat_int,C2: nat_int] :
% 0.29/0.47 ( ( ord_less_eq_nat @ A2 @ B )
% 0.29/0.47 => ( ( ord_less_nat_int @ ( F @ B ) @ C2 )
% 0.29/0.47 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.47 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_nat_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_le_less_subst2
% 0.29/0.47 thf(fact_274_order__le__less__subst2,axiom,
% 0.29/0.47 ! [A2: nat,B: nat,F: nat > real_int,C2: real_int] :
% 0.29/0.47 ( ( ord_less_eq_nat @ A2 @ B )
% 0.29/0.47 => ( ( ord_less_real_int @ ( F @ B ) @ C2 )
% 0.29/0.47 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.47 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_real_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_le_less_subst2
% 0.29/0.47 thf(fact_275_order__le__less__subst2,axiom,
% 0.29/0.47 ! [A2: nat,B: nat,F: nat > nat,C2: nat] :
% 0.29/0.47 ( ( ord_less_eq_nat @ A2 @ B )
% 0.29/0.47 => ( ( ord_less_nat @ ( F @ B ) @ C2 )
% 0.29/0.47 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.47 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_nat @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_le_less_subst2
% 0.29/0.47 thf(fact_276_order__le__less__subst2,axiom,
% 0.29/0.47 ! [A2: nat_int,B: nat_int,F: nat_int > view_e774982825t_unit,C2: view_e774982825t_unit] :
% 0.29/0.47 ( ( ord_less_eq_nat_int @ A2 @ B )
% 0.29/0.47 => ( ( ord_le1993783549t_unit @ ( F @ B ) @ C2 )
% 0.29/0.47 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.47 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 0.29/0.47 => ( ord_le461438217t_unit @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_le1993783549t_unit @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_le_less_subst2
% 0.29/0.47 thf(fact_277_order__less__le__subst1,axiom,
% 0.29/0.47 ! [A2: nat_int,F: nat_int > nat_int,B: nat_int,C2: nat_int] :
% 0.29/0.47 ( ( ord_less_nat_int @ A2 @ ( F @ B ) )
% 0.29/0.47 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 0.29/0.47 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.47 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_less_le_subst1
% 0.29/0.47 thf(fact_278_order__less__le__subst1,axiom,
% 0.29/0.47 ! [A2: real_int,F: nat_int > real_int,B: nat_int,C2: nat_int] :
% 0.29/0.47 ( ( ord_less_real_int @ A2 @ ( F @ B ) )
% 0.29/0.47 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 0.29/0.47 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.47 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_real_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_less_le_subst1
% 0.29/0.47 thf(fact_279_order__less__le__subst1,axiom,
% 0.29/0.47 ! [A2: nat,F: nat_int > nat,B: nat_int,C2: nat_int] :
% 0.29/0.47 ( ( ord_less_nat @ A2 @ ( F @ B ) )
% 0.29/0.47 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 0.29/0.47 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.47 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_nat @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_less_le_subst1
% 0.29/0.47 thf(fact_280_order__less__le__subst1,axiom,
% 0.29/0.47 ! [A2: nat_int,F: real_int > nat_int,B: real_int,C2: real_int] :
% 0.29/0.47 ( ( ord_less_nat_int @ A2 @ ( F @ B ) )
% 0.29/0.47 => ( ( ord_less_eq_real_int @ B @ C2 )
% 0.29/0.47 => ( ! [X3: real_int,Y3: real_int] :
% 0.29/0.47 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_less_le_subst1
% 0.29/0.47 thf(fact_281_order__less__le__subst1,axiom,
% 0.29/0.47 ! [A2: real_int,F: real_int > real_int,B: real_int,C2: real_int] :
% 0.29/0.47 ( ( ord_less_real_int @ A2 @ ( F @ B ) )
% 0.29/0.47 => ( ( ord_less_eq_real_int @ B @ C2 )
% 0.29/0.47 => ( ! [X3: real_int,Y3: real_int] :
% 0.29/0.47 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_real_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_less_le_subst1
% 0.29/0.47 thf(fact_282_order__less__le__subst1,axiom,
% 0.29/0.47 ! [A2: nat,F: real_int > nat,B: real_int,C2: real_int] :
% 0.29/0.47 ( ( ord_less_nat @ A2 @ ( F @ B ) )
% 0.29/0.47 => ( ( ord_less_eq_real_int @ B @ C2 )
% 0.29/0.47 => ( ! [X3: real_int,Y3: real_int] :
% 0.29/0.47 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_nat @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_less_le_subst1
% 0.29/0.47 thf(fact_283_order__less__le__subst1,axiom,
% 0.29/0.47 ! [A2: nat_int,F: nat > nat_int,B: nat,C2: nat] :
% 0.29/0.47 ( ( ord_less_nat_int @ A2 @ ( F @ B ) )
% 0.29/0.47 => ( ( ord_less_eq_nat @ B @ C2 )
% 0.29/0.47 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.47 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_less_le_subst1
% 0.29/0.47 thf(fact_284_order__less__le__subst1,axiom,
% 0.29/0.47 ! [A2: real_int,F: nat > real_int,B: nat,C2: nat] :
% 0.29/0.47 ( ( ord_less_real_int @ A2 @ ( F @ B ) )
% 0.29/0.47 => ( ( ord_less_eq_nat @ B @ C2 )
% 0.29/0.47 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.47 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_real_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_less_le_subst1
% 0.29/0.47 thf(fact_285_order__less__le__subst1,axiom,
% 0.29/0.47 ! [A2: nat,F: nat > nat,B: nat,C2: nat] :
% 0.29/0.47 ( ( ord_less_nat @ A2 @ ( F @ B ) )
% 0.29/0.47 => ( ( ord_less_eq_nat @ B @ C2 )
% 0.29/0.47 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.47 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_nat @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_less_le_subst1
% 0.29/0.47 thf(fact_286_order__less__le__subst1,axiom,
% 0.29/0.47 ! [A2: view_e774982825t_unit,F: nat_int > view_e774982825t_unit,B: nat_int,C2: nat_int] :
% 0.29/0.47 ( ( ord_le1993783549t_unit @ A2 @ ( F @ B ) )
% 0.29/0.47 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 0.29/0.47 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.47 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 0.29/0.47 => ( ord_le461438217t_unit @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_le1993783549t_unit @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_less_le_subst1
% 0.29/0.47 thf(fact_287_order__less__le__subst2,axiom,
% 0.29/0.47 ! [A2: nat_int,B: nat_int,F: nat_int > nat_int,C2: nat_int] :
% 0.29/0.47 ( ( ord_less_nat_int @ A2 @ B )
% 0.29/0.47 => ( ( ord_less_eq_nat_int @ ( F @ B ) @ C2 )
% 0.29/0.47 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.47 ( ( ord_less_nat_int @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_nat_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_less_le_subst2
% 0.29/0.47 thf(fact_288_order__less__le__subst2,axiom,
% 0.29/0.47 ! [A2: nat,B: nat,F: nat > nat_int,C2: nat_int] :
% 0.29/0.47 ( ( ord_less_nat @ A2 @ B )
% 0.29/0.47 => ( ( ord_less_eq_nat_int @ ( F @ B ) @ C2 )
% 0.29/0.47 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.47 ( ( ord_less_nat @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_nat_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_less_le_subst2
% 0.29/0.47 thf(fact_289_order__less__le__subst2,axiom,
% 0.29/0.47 ! [A2: nat_int,B: nat_int,F: nat_int > view_e774982825t_unit,C2: view_e774982825t_unit] :
% 0.29/0.47 ( ( ord_less_nat_int @ A2 @ B )
% 0.29/0.47 => ( ( ord_le461438217t_unit @ ( F @ B ) @ C2 )
% 0.29/0.47 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.47 ( ( ord_less_nat_int @ X3 @ Y3 )
% 0.29/0.47 => ( ord_le1993783549t_unit @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_le1993783549t_unit @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_less_le_subst2
% 0.29/0.47 thf(fact_290_order__less__le__subst2,axiom,
% 0.29/0.47 ! [A2: nat,B: nat,F: nat > view_e774982825t_unit,C2: view_e774982825t_unit] :
% 0.29/0.47 ( ( ord_less_nat @ A2 @ B )
% 0.29/0.47 => ( ( ord_le461438217t_unit @ ( F @ B ) @ C2 )
% 0.29/0.47 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.47 ( ( ord_less_nat @ X3 @ Y3 )
% 0.29/0.47 => ( ord_le1993783549t_unit @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_le1993783549t_unit @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_less_le_subst2
% 0.29/0.47 thf(fact_291_order__less__le__subst2,axiom,
% 0.29/0.47 ! [A2: nat_int,B: nat_int,F: nat_int > real_int,C2: real_int] :
% 0.29/0.47 ( ( ord_less_nat_int @ A2 @ B )
% 0.29/0.47 => ( ( ord_less_eq_real_int @ ( F @ B ) @ C2 )
% 0.29/0.47 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.47 ( ( ord_less_nat_int @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_real_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_less_le_subst2
% 0.29/0.47 thf(fact_292_order__less__le__subst2,axiom,
% 0.29/0.47 ! [A2: nat,B: nat,F: nat > real_int,C2: real_int] :
% 0.29/0.47 ( ( ord_less_nat @ A2 @ B )
% 0.29/0.47 => ( ( ord_less_eq_real_int @ ( F @ B ) @ C2 )
% 0.29/0.47 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.47 ( ( ord_less_nat @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_real_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_less_le_subst2
% 0.29/0.47 thf(fact_293_order__less__le__subst2,axiom,
% 0.29/0.47 ! [A2: nat_int,B: nat_int,F: nat_int > nat,C2: nat] :
% 0.29/0.47 ( ( ord_less_nat_int @ A2 @ B )
% 0.29/0.47 => ( ( ord_less_eq_nat @ ( F @ B ) @ C2 )
% 0.29/0.47 => ( ! [X3: nat_int,Y3: nat_int] :
% 0.29/0.47 ( ( ord_less_nat_int @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_nat @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_less_le_subst2
% 0.29/0.47 thf(fact_294_order__less__le__subst2,axiom,
% 0.29/0.47 ! [A2: nat,B: nat,F: nat > nat,C2: nat] :
% 0.29/0.47 ( ( ord_less_nat @ A2 @ B )
% 0.29/0.47 => ( ( ord_less_eq_nat @ ( F @ B ) @ C2 )
% 0.29/0.47 => ( ! [X3: nat,Y3: nat] :
% 0.29/0.47 ( ( ord_less_nat @ X3 @ Y3 )
% 0.29/0.47 => ( ord_less_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 0.29/0.47 => ( ord_less_nat @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order_less_le_subst2
% 0.29/0.47 thf(fact_295_not__le,axiom,
% 0.29/0.47 ! [X2: nat,Y2: nat] :
% 0.29/0.47 ( ( ~ ( ord_less_eq_nat @ X2 @ Y2 ) )
% 0.29/0.47 = ( ord_less_nat @ Y2 @ X2 ) ) ).
% 0.29/0.47
% 0.29/0.47 % not_le
% 0.29/0.47 thf(fact_296_not__less,axiom,
% 0.29/0.47 ! [X2: nat,Y2: nat] :
% 0.29/0.47 ( ( ~ ( ord_less_nat @ X2 @ Y2 ) )
% 0.29/0.47 = ( ord_less_eq_nat @ Y2 @ X2 ) ) ).
% 0.29/0.47
% 0.29/0.47 % not_less
% 0.29/0.47 thf(fact_297_le__neq__trans,axiom,
% 0.29/0.47 ! [A2: nat_int,B: nat_int] :
% 0.29/0.47 ( ( ord_less_eq_nat_int @ A2 @ B )
% 0.29/0.47 => ( ( A2 != B )
% 0.29/0.47 => ( ord_less_nat_int @ A2 @ B ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % le_neq_trans
% 0.29/0.47 thf(fact_298_le__neq__trans,axiom,
% 0.29/0.47 ! [A2: view_e774982825t_unit,B: view_e774982825t_unit] :
% 0.29/0.47 ( ( ord_le461438217t_unit @ A2 @ B )
% 0.29/0.47 => ( ( A2 != B )
% 0.29/0.47 => ( ord_le1993783549t_unit @ A2 @ B ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % le_neq_trans
% 0.29/0.47 thf(fact_299_le__neq__trans,axiom,
% 0.29/0.47 ! [A2: real_int,B: real_int] :
% 0.29/0.47 ( ( ord_less_eq_real_int @ A2 @ B )
% 0.29/0.47 => ( ( A2 != B )
% 0.29/0.47 => ( ord_less_real_int @ A2 @ B ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % le_neq_trans
% 0.29/0.47 thf(fact_300_le__neq__trans,axiom,
% 0.29/0.47 ! [A2: nat,B: nat] :
% 0.29/0.47 ( ( ord_less_eq_nat @ A2 @ B )
% 0.29/0.47 => ( ( A2 != B )
% 0.29/0.47 => ( ord_less_nat @ A2 @ B ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % le_neq_trans
% 0.29/0.47 thf(fact_301_antisym__conv1,axiom,
% 0.29/0.47 ! [X2: nat_int,Y2: nat_int] :
% 0.29/0.47 ( ~ ( ord_less_nat_int @ X2 @ Y2 )
% 0.29/0.47 => ( ( ord_less_eq_nat_int @ X2 @ Y2 )
% 0.29/0.47 = ( X2 = Y2 ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % antisym_conv1
% 0.29/0.47 thf(fact_302_antisym__conv1,axiom,
% 0.29/0.47 ! [X2: view_e774982825t_unit,Y2: view_e774982825t_unit] :
% 0.29/0.47 ( ~ ( ord_le1993783549t_unit @ X2 @ Y2 )
% 0.29/0.47 => ( ( ord_le461438217t_unit @ X2 @ Y2 )
% 0.29/0.47 = ( X2 = Y2 ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % antisym_conv1
% 0.29/0.47 thf(fact_303_antisym__conv1,axiom,
% 0.29/0.47 ! [X2: real_int,Y2: real_int] :
% 0.29/0.47 ( ~ ( ord_less_real_int @ X2 @ Y2 )
% 0.29/0.47 => ( ( ord_less_eq_real_int @ X2 @ Y2 )
% 0.29/0.47 = ( X2 = Y2 ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % antisym_conv1
% 0.29/0.47 thf(fact_304_antisym__conv1,axiom,
% 0.29/0.47 ! [X2: nat,Y2: nat] :
% 0.29/0.47 ( ~ ( ord_less_nat @ X2 @ Y2 )
% 0.29/0.47 => ( ( ord_less_eq_nat @ X2 @ Y2 )
% 0.29/0.47 = ( X2 = Y2 ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % antisym_conv1
% 0.29/0.47 thf(fact_305_antisym__conv2,axiom,
% 0.29/0.47 ! [X2: nat_int,Y2: nat_int] :
% 0.29/0.47 ( ( ord_less_eq_nat_int @ X2 @ Y2 )
% 0.29/0.47 => ( ( ~ ( ord_less_nat_int @ X2 @ Y2 ) )
% 0.29/0.47 = ( X2 = Y2 ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % antisym_conv2
% 0.29/0.47 thf(fact_306_antisym__conv2,axiom,
% 0.29/0.47 ! [X2: view_e774982825t_unit,Y2: view_e774982825t_unit] :
% 0.29/0.47 ( ( ord_le461438217t_unit @ X2 @ Y2 )
% 0.29/0.47 => ( ( ~ ( ord_le1993783549t_unit @ X2 @ Y2 ) )
% 0.29/0.47 = ( X2 = Y2 ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % antisym_conv2
% 0.29/0.47 thf(fact_307_antisym__conv2,axiom,
% 0.29/0.47 ! [X2: real_int,Y2: real_int] :
% 0.29/0.47 ( ( ord_less_eq_real_int @ X2 @ Y2 )
% 0.29/0.47 => ( ( ~ ( ord_less_real_int @ X2 @ Y2 ) )
% 0.29/0.47 = ( X2 = Y2 ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % antisym_conv2
% 0.29/0.47 thf(fact_308_antisym__conv2,axiom,
% 0.29/0.47 ! [X2: nat,Y2: nat] :
% 0.29/0.47 ( ( ord_less_eq_nat @ X2 @ Y2 )
% 0.29/0.47 => ( ( ~ ( ord_less_nat @ X2 @ Y2 ) )
% 0.29/0.47 = ( X2 = Y2 ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % antisym_conv2
% 0.29/0.47 thf(fact_309_less__imp__le,axiom,
% 0.29/0.47 ! [X2: nat_int,Y2: nat_int] :
% 0.29/0.47 ( ( ord_less_nat_int @ X2 @ Y2 )
% 0.29/0.47 => ( ord_less_eq_nat_int @ X2 @ Y2 ) ) ).
% 0.29/0.47
% 0.29/0.47 % less_imp_le
% 0.29/0.47 thf(fact_310_less__imp__le,axiom,
% 0.29/0.47 ! [X2: view_e774982825t_unit,Y2: view_e774982825t_unit] :
% 0.29/0.47 ( ( ord_le1993783549t_unit @ X2 @ Y2 )
% 0.29/0.47 => ( ord_le461438217t_unit @ X2 @ Y2 ) ) ).
% 0.29/0.47
% 0.29/0.47 % less_imp_le
% 0.29/0.47 thf(fact_311_less__imp__le,axiom,
% 0.29/0.47 ! [X2: real_int,Y2: real_int] :
% 0.29/0.47 ( ( ord_less_real_int @ X2 @ Y2 )
% 0.29/0.47 => ( ord_less_eq_real_int @ X2 @ Y2 ) ) ).
% 0.29/0.47
% 0.29/0.47 % less_imp_le
% 0.29/0.47 thf(fact_312_less__imp__le,axiom,
% 0.29/0.47 ! [X2: nat,Y2: nat] :
% 0.29/0.47 ( ( ord_less_nat @ X2 @ Y2 )
% 0.29/0.47 => ( ord_less_eq_nat @ X2 @ Y2 ) ) ).
% 0.29/0.47
% 0.29/0.47 % less_imp_le
% 0.29/0.47 thf(fact_313_le__less__trans,axiom,
% 0.29/0.47 ! [X2: nat_int,Y2: nat_int,Z: nat_int] :
% 0.29/0.47 ( ( ord_less_eq_nat_int @ X2 @ Y2 )
% 0.29/0.47 => ( ( ord_less_nat_int @ Y2 @ Z )
% 0.29/0.47 => ( ord_less_nat_int @ X2 @ Z ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % le_less_trans
% 0.29/0.47 thf(fact_314_le__less__trans,axiom,
% 0.29/0.47 ! [X2: view_e774982825t_unit,Y2: view_e774982825t_unit,Z: view_e774982825t_unit] :
% 0.29/0.47 ( ( ord_le461438217t_unit @ X2 @ Y2 )
% 0.29/0.47 => ( ( ord_le1993783549t_unit @ Y2 @ Z )
% 0.29/0.47 => ( ord_le1993783549t_unit @ X2 @ Z ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % le_less_trans
% 0.29/0.47 thf(fact_315_le__less__trans,axiom,
% 0.29/0.47 ! [X2: real_int,Y2: real_int,Z: real_int] :
% 0.29/0.47 ( ( ord_less_eq_real_int @ X2 @ Y2 )
% 0.29/0.47 => ( ( ord_less_real_int @ Y2 @ Z )
% 0.29/0.47 => ( ord_less_real_int @ X2 @ Z ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % le_less_trans
% 0.29/0.47 thf(fact_316_le__less__trans,axiom,
% 0.29/0.47 ! [X2: nat,Y2: nat,Z: nat] :
% 0.29/0.47 ( ( ord_less_eq_nat @ X2 @ Y2 )
% 0.29/0.47 => ( ( ord_less_nat @ Y2 @ Z )
% 0.29/0.47 => ( ord_less_nat @ X2 @ Z ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % le_less_trans
% 0.29/0.47 thf(fact_317_less__le__trans,axiom,
% 0.29/0.47 ! [X2: nat_int,Y2: nat_int,Z: nat_int] :
% 0.29/0.47 ( ( ord_less_nat_int @ X2 @ Y2 )
% 0.29/0.47 => ( ( ord_less_eq_nat_int @ Y2 @ Z )
% 0.29/0.47 => ( ord_less_nat_int @ X2 @ Z ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % less_le_trans
% 0.29/0.47 thf(fact_318_less__le__trans,axiom,
% 0.29/0.47 ! [X2: view_e774982825t_unit,Y2: view_e774982825t_unit,Z: view_e774982825t_unit] :
% 0.29/0.47 ( ( ord_le1993783549t_unit @ X2 @ Y2 )
% 0.29/0.47 => ( ( ord_le461438217t_unit @ Y2 @ Z )
% 0.29/0.47 => ( ord_le1993783549t_unit @ X2 @ Z ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % less_le_trans
% 0.29/0.47 thf(fact_319_less__le__trans,axiom,
% 0.29/0.47 ! [X2: real_int,Y2: real_int,Z: real_int] :
% 0.29/0.47 ( ( ord_less_real_int @ X2 @ Y2 )
% 0.29/0.47 => ( ( ord_less_eq_real_int @ Y2 @ Z )
% 0.29/0.47 => ( ord_less_real_int @ X2 @ Z ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % less_le_trans
% 0.29/0.47 thf(fact_320_less__le__trans,axiom,
% 0.29/0.47 ! [X2: nat,Y2: nat,Z: nat] :
% 0.29/0.47 ( ( ord_less_nat @ X2 @ Y2 )
% 0.29/0.47 => ( ( ord_less_eq_nat @ Y2 @ Z )
% 0.29/0.47 => ( ord_less_nat @ X2 @ Z ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % less_le_trans
% 0.29/0.47 thf(fact_321_le__less__linear,axiom,
% 0.29/0.47 ! [X2: nat,Y2: nat] :
% 0.29/0.47 ( ( ord_less_eq_nat @ X2 @ Y2 )
% 0.29/0.47 | ( ord_less_nat @ Y2 @ X2 ) ) ).
% 0.29/0.47
% 0.29/0.47 % le_less_linear
% 0.29/0.47 thf(fact_322_le__imp__less__or__eq,axiom,
% 0.29/0.47 ! [X2: nat_int,Y2: nat_int] :
% 0.29/0.47 ( ( ord_less_eq_nat_int @ X2 @ Y2 )
% 0.29/0.47 => ( ( ord_less_nat_int @ X2 @ Y2 )
% 0.29/0.47 | ( X2 = Y2 ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % le_imp_less_or_eq
% 0.29/0.47 thf(fact_323_le__imp__less__or__eq,axiom,
% 0.29/0.47 ! [X2: view_e774982825t_unit,Y2: view_e774982825t_unit] :
% 0.29/0.47 ( ( ord_le461438217t_unit @ X2 @ Y2 )
% 0.29/0.47 => ( ( ord_le1993783549t_unit @ X2 @ Y2 )
% 0.29/0.47 | ( X2 = Y2 ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % le_imp_less_or_eq
% 0.29/0.47 thf(fact_324_le__imp__less__or__eq,axiom,
% 0.29/0.47 ! [X2: real_int,Y2: real_int] :
% 0.29/0.47 ( ( ord_less_eq_real_int @ X2 @ Y2 )
% 0.29/0.47 => ( ( ord_less_real_int @ X2 @ Y2 )
% 0.29/0.47 | ( X2 = Y2 ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % le_imp_less_or_eq
% 0.29/0.47 thf(fact_325_le__imp__less__or__eq,axiom,
% 0.29/0.47 ! [X2: nat,Y2: nat] :
% 0.29/0.47 ( ( ord_less_eq_nat @ X2 @ Y2 )
% 0.29/0.47 => ( ( ord_less_nat @ X2 @ Y2 )
% 0.29/0.47 | ( X2 = Y2 ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % le_imp_less_or_eq
% 0.29/0.47 thf(fact_326_less__le__not__le,axiom,
% 0.29/0.47 ( ord_less_nat_int
% 0.29/0.47 = ( ^ [X: nat_int,Y: nat_int] :
% 0.29/0.47 ( ( ord_less_eq_nat_int @ X @ Y )
% 0.29/0.47 & ~ ( ord_less_eq_nat_int @ Y @ X ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % less_le_not_le
% 0.29/0.47 thf(fact_327_less__le__not__le,axiom,
% 0.29/0.47 ( ord_le1993783549t_unit
% 0.29/0.47 = ( ^ [X: view_e774982825t_unit,Y: view_e774982825t_unit] :
% 0.29/0.47 ( ( ord_le461438217t_unit @ X @ Y )
% 0.29/0.47 & ~ ( ord_le461438217t_unit @ Y @ X ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % less_le_not_le
% 0.29/0.47 thf(fact_328_less__le__not__le,axiom,
% 0.29/0.47 ( ord_less_real_int
% 0.29/0.47 = ( ^ [X: real_int,Y: real_int] :
% 0.29/0.47 ( ( ord_less_eq_real_int @ X @ Y )
% 0.29/0.47 & ~ ( ord_less_eq_real_int @ Y @ X ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % less_le_not_le
% 0.29/0.47 thf(fact_329_less__le__not__le,axiom,
% 0.29/0.47 ( ord_less_nat
% 0.29/0.47 = ( ^ [X: nat,Y: nat] :
% 0.29/0.47 ( ( ord_less_eq_nat @ X @ Y )
% 0.29/0.47 & ~ ( ord_less_eq_nat @ Y @ X ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % less_le_not_le
% 0.29/0.47 thf(fact_330_not__le__imp__less,axiom,
% 0.29/0.47 ! [Y2: nat,X2: nat] :
% 0.29/0.47 ( ~ ( ord_less_eq_nat @ Y2 @ X2 )
% 0.29/0.47 => ( ord_less_nat @ X2 @ Y2 ) ) ).
% 0.29/0.47
% 0.29/0.47 % not_le_imp_less
% 0.29/0.47 thf(fact_331_order_Ostrict__trans1,axiom,
% 0.29/0.47 ! [A2: view_e774982825t_unit,B: view_e774982825t_unit,C2: view_e774982825t_unit] :
% 0.29/0.47 ( ( ord_le461438217t_unit @ A2 @ B )
% 0.29/0.47 => ( ( ord_le1993783549t_unit @ B @ C2 )
% 0.29/0.47 => ( ord_le1993783549t_unit @ A2 @ C2 ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order.strict_trans1
% 0.29/0.47 thf(fact_332_order_Ostrict__trans1,axiom,
% 0.29/0.47 ! [A2: real_int,B: real_int,C2: real_int] :
% 0.29/0.47 ( ( ord_less_eq_real_int @ A2 @ B )
% 0.29/0.47 => ( ( ord_less_real_int @ B @ C2 )
% 0.29/0.47 => ( ord_less_real_int @ A2 @ C2 ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order.strict_trans1
% 0.29/0.47 thf(fact_333_order_Ostrict__trans1,axiom,
% 0.29/0.47 ! [A2: nat,B: nat,C2: nat] :
% 0.29/0.47 ( ( ord_less_eq_nat @ A2 @ B )
% 0.29/0.47 => ( ( ord_less_nat @ B @ C2 )
% 0.29/0.47 => ( ord_less_nat @ A2 @ C2 ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % order.strict_trans1
% 0.29/0.47 thf(fact_334_view_Ohorizontal__chop__leq2,axiom,
% 0.29/0.47 ! [V2: view_e774982825t_unit,U3: view_e774982825t_unit,W2: view_e774982825t_unit] :
% 0.29/0.47 ( ( hchop @ V2 @ U3 @ W2 )
% 0.29/0.47 => ( ord_le461438217t_unit @ W2 @ V2 ) ) ).
% 0.29/0.47
% 0.29/0.47 % view.horizontal_chop_leq2
% 0.29/0.47 thf(fact_335_view_Ohorizontal__chop__leq1,axiom,
% 0.29/0.47 ! [V2: view_e774982825t_unit,U3: view_e774982825t_unit,W2: view_e774982825t_unit] :
% 0.29/0.47 ( ( hchop @ V2 @ U3 @ W2 )
% 0.29/0.47 => ( ord_le461438217t_unit @ U3 @ V2 ) ) ).
% 0.29/0.47
% 0.29/0.47 % view.horizontal_chop_leq1
% 0.29/0.47 thf(fact_336_view_Oswitch__leq,axiom,
% 0.29/0.47 ! [U5: view_e774982825t_unit,U3: view_e774982825t_unit,V2: view_e774982825t_unit,C2: cars] :
% 0.29/0.47 ( ( ( ord_le461438217t_unit @ U5 @ U3 )
% 0.29/0.47 & ( switch @ V2 @ C2 @ U3 ) )
% 0.29/0.47 => ? [V5: view_e774982825t_unit] :
% 0.29/0.47 ( ( switch @ V5 @ C2 @ U5 )
% 0.29/0.47 & ( ord_le461438217t_unit @ V5 @ V2 ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % view.switch_leq
% 0.29/0.47 thf(fact_337_chop__leq2,axiom,
% 0.29/0.47 ! [R: real_int,S2: real_int,T: real_int] :
% 0.29/0.47 ( ( real_R_Chop @ R @ S2 @ T )
% 0.29/0.47 => ( ord_less_eq_real_int @ T @ R ) ) ).
% 0.29/0.47
% 0.29/0.47 % chop_leq2
% 0.29/0.47 thf(fact_338_chop__leq1,axiom,
% 0.29/0.47 ! [R: real_int,S2: real_int,T: real_int] :
% 0.29/0.47 ( ( real_R_Chop @ R @ S2 @ T )
% 0.29/0.47 => ( ord_less_eq_real_int @ S2 @ R ) ) ).
% 0.29/0.47
% 0.29/0.47 % chop_leq1
% 0.29/0.47 thf(fact_339_card__subset__le,axiom,
% 0.29/0.47 ! [I: nat_int,I2: nat_int] :
% 0.29/0.47 ( ( ord_less_eq_nat_int @ I @ I2 )
% 0.29/0.47 => ( ord_less_eq_nat @ ( nat_card @ I ) @ ( nat_card @ I2 ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % card_subset_le
% 0.29/0.47 thf(fact_340_traffic_Oclm__consec__res,axiom,
% 0.29/0.47 ! [Ts4: traffic,C2: cars] :
% 0.29/0.47 ( ( ( clm @ Ts4 @ C2 )
% 0.29/0.47 != bot_bot_nat_int )
% 0.29/0.47 => ( ( nat_consec @ ( clm @ Ts4 @ C2 ) @ ( res @ Ts4 @ C2 ) )
% 0.29/0.47 | ( nat_consec @ ( res @ Ts4 @ C2 ) @ ( clm @ Ts4 @ C2 ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % traffic.clm_consec_res
% 0.29/0.47 thf(fact_341_card__subset__less,axiom,
% 0.29/0.47 ! [I: nat_int,I2: nat_int] :
% 0.29/0.47 ( ( ord_less_nat_int @ I @ I2 )
% 0.29/0.47 => ( ord_less_nat @ ( nat_card @ I ) @ ( nat_card @ I2 ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % card_subset_less
% 0.29/0.47 thf(fact_342_consec__intermediate2,axiom,
% 0.29/0.47 ! [I: nat_int,J: nat_int,K: nat_int] :
% 0.29/0.47 ( ( ( nat_consec @ I @ J )
% 0.29/0.47 & ( nat_consec @ ( nat_union @ I @ J ) @ K ) )
% 0.29/0.47 => ( nat_consec @ J @ K ) ) ).
% 0.29/0.47
% 0.29/0.47 % consec_intermediate2
% 0.29/0.47 thf(fact_343_consec__intermediate1,axiom,
% 0.29/0.47 ! [J: nat_int,K: nat_int,I: nat_int] :
% 0.29/0.47 ( ( ( nat_consec @ J @ K )
% 0.29/0.47 & ( nat_consec @ I @ ( nat_union @ J @ K ) ) )
% 0.29/0.47 => ( nat_consec @ I @ J ) ) ).
% 0.29/0.47
% 0.29/0.47 % consec_intermediate1
% 0.29/0.47 thf(fact_344_consec__assoc2,axiom,
% 0.29/0.47 ! [I: nat_int,J: nat_int,K: nat_int] :
% 0.29/0.47 ( ( ( nat_consec @ I @ J )
% 0.29/0.47 & ( nat_consec @ ( nat_union @ I @ J ) @ K ) )
% 0.29/0.47 => ( nat_consec @ I @ ( nat_union @ J @ K ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % consec_assoc2
% 0.29/0.47 thf(fact_345_consec__assoc1,axiom,
% 0.29/0.47 ! [J: nat_int,K: nat_int,I: nat_int] :
% 0.29/0.47 ( ( ( nat_consec @ J @ K )
% 0.29/0.47 & ( nat_consec @ I @ ( nat_union @ J @ K ) ) )
% 0.29/0.47 => ( nat_consec @ ( nat_union @ I @ J ) @ K ) ) ).
% 0.29/0.47
% 0.29/0.47 % consec_assoc1
% 0.29/0.47 thf(fact_346_un__assoc,axiom,
% 0.29/0.47 ! [I: nat_int,J: nat_int,K: nat_int] :
% 0.29/0.47 ( ( ( nat_consec @ I @ J )
% 0.29/0.47 & ( nat_consec @ J @ K ) )
% 0.29/0.47 => ( ( nat_union @ ( nat_union @ I @ J ) @ K )
% 0.29/0.47 = ( nat_union @ I @ ( nat_union @ J @ K ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % un_assoc
% 0.29/0.47 thf(fact_347_consec__assoc__mult,axiom,
% 0.29/0.47 ! [I22: nat_int,I1: nat_int,I3: nat_int,I4: nat_int] :
% 0.29/0.47 ( ( ( ( I22 = bot_bot_nat_int )
% 0.29/0.47 | ( nat_consec @ I1 @ I22 ) )
% 0.29/0.47 & ( ( I3 = bot_bot_nat_int )
% 0.29/0.47 | ( nat_consec @ I3 @ I4 ) )
% 0.29/0.47 & ( nat_consec @ ( nat_union @ I1 @ I22 ) @ ( nat_union @ I3 @ I4 ) ) )
% 0.29/0.47 => ( ( nat_union @ ( nat_union @ I1 @ I22 ) @ ( nat_union @ I3 @ I4 ) )
% 0.29/0.47 = ( nat_union @ ( nat_union @ I1 @ ( nat_union @ I22 @ I3 ) ) @ I4 ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % consec_assoc_mult
% 0.29/0.47 thf(fact_348_un__subset2,axiom,
% 0.29/0.47 ! [I: nat_int,J: nat_int] :
% 0.29/0.47 ( ( nat_consec @ I @ J )
% 0.29/0.47 => ( ord_less_eq_nat_int @ J @ ( nat_union @ I @ J ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % un_subset2
% 0.29/0.47 thf(fact_349_un__subset1,axiom,
% 0.29/0.47 ! [I: nat_int,J: nat_int] :
% 0.29/0.47 ( ( nat_consec @ I @ J )
% 0.29/0.47 => ( ord_less_eq_nat_int @ I @ ( nat_union @ I @ J ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % un_subset1
% 0.29/0.47 thf(fact_350_nchop__def,axiom,
% 0.29/0.47 ( nat_N_Chop
% 0.29/0.47 = ( ^ [I5: nat_int,J2: nat_int,K2: nat_int] :
% 0.29/0.47 ( ( I5
% 0.29/0.47 = ( nat_union @ J2 @ K2 ) )
% 0.29/0.47 & ( ( J2 = bot_bot_nat_int )
% 0.29/0.47 | ( K2 = bot_bot_nat_int )
% 0.29/0.47 | ( nat_consec @ J2 @ K2 ) ) ) ) ) ).
% 0.29/0.47
% 0.29/0.47 % nchop_def
% 0.29/0.47 thf(fact_351_consec__un__not__elem2,axiom,
% 0.29/0.47 ! [I: nat_int,J: nat_int,N: nat] :
% 0.29/0.47 ( ( ( nat_consec @ I @ J )
% 0.29/0.47 & ( nat_not_in @ N @ ( nat_union @ I @ J ) ) )
% 0.29/0.47 => ( nat_not_in @ N @ J ) ) ).
% 0.29/0.47
% 0.29/0.47 % consec_un_not_elem2
% 0.29/0.47
% 0.29/0.47 % Helper facts (5)
% 0.29/0.47 thf(help_If_2_1_If_001t__NatInt__Onat____int_T,axiom,
% 0.29/0.47 ! [X2: nat_int,Y2: nat_int] :
% 0.29/0.47 ( ( if_nat_int @ $false @ X2 @ Y2 )
% 0.29/0.47 = Y2 ) ).
% 0.29/0.47
% 0.29/0.47 thf(help_If_1_1_If_001t__NatInt__Onat____int_T,axiom,
% 0.29/0.47 ! [X2: nat_int,Y2: nat_int] :
% 0.29/0.47 ( ( if_nat_int @ $true @ X2 @ Y2 )
% 0.29/0.47 = X2 ) ).
% 0.29/0.47
% 0.29/0.47 thf(help_If_3_1_If_001_062_It__Real__Oreal_Mt__Real__Oreal_J_T,axiom,
% 0.29/0.47 ! [P: $o] :
% 0.29/0.47 ( ( P = $true )
% 0.29/0.47 | ( P = $false ) ) ).
% 0.29/0.47
% 0.29/0.47 thf(help_If_2_1_If_001_062_It__Real__Oreal_Mt__Real__Oreal_J_T,axiom,
% 0.29/0.47 ! [X2: real > real,Y2: real > real] :
% 0.29/0.47 ( ( if_real_real @ $false @ X2 @ Y2 )
% 0.29/0.47 = Y2 ) ).
% 0.29/0.47
% 0.29/0.47 thf(help_If_1_1_If_001_062_It__Real__Oreal_Mt__Real__Oreal_J_T,axiom,
% 0.29/0.47 ! [X2: real > real,Y2: real > real] :
% 0.29/0.47 ( ( if_real_real @ $true @ X2 @ Y2 )
% 0.29/0.47 = X2 ) ).
% 0.29/0.47
% 0.29/0.47 % Conjectures (1)
% 0.29/0.47 thf(conj_0,conjecture,
% 0.29/0.47 ( ( move @ ts3 @ ts_a @ v )
% 0.29/0.47 = ( move @ ts3 @ ts @ v ) ) ).
% 0.29/0.47
% 0.29/0.47 %------------------------------------------------------------------------------
% 0.29/0.47 ------------------------
% 2.60/1.49 ---- Embedded in THF ---
% 2.60/1.49 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 2.60/1.49 %%% Generated on Tue Feb 24 08:36:58 EST 2026
% 2.60/1.49 %%% using '$$dhol' embedding, version 1.3.0.
% 2.60/1.49 %%% Logic specification used:
% 2.60/1.49 %%% thf(spec, logic, $$dhol).
% 2.60/1.49
% 2.60/1.49 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.uW4OZqnaXn/DTF2DTF27276.p
% See solution above
% 2.60/1.49 ------------------------
% 2.84/1.53 ---- Cleaned THF ---
% 2.84/1.53 thf(ty_n_t__Views__Oview__Oview____ext_It__Views__Oview__Oview____ext_It__Product____Type__Ounit_J_J,type,
% 2.84/1.53 view_e665166499t_unit: $tType ).
% 2.84/1.53
% 2.84/1.53 thf(ty_n_t__Views__Oview__Oview____ext_It__Product____Type__Ounit_J,type,
% 2.84/1.53 view_e774982825t_unit: $tType ).
% 2.84/1.53
% 2.84/1.53 thf(ty_n_t__Views__Oview__Oview____ext_It__RealInt__Oreal____int_J,type,
% 2.84/1.53 view_ext_real_int: $tType ).
% 2.84/1.53
% 2.84/1.53 thf(ty_n_t__Views__Oview__Oview____ext_It__NatInt__Onat____int_J,type,
% 2.84/1.53 view_ext_nat_int: $tType ).
% 2.84/1.53
% 2.84/1.53 thf(ty_n_t__Views__Oview__Oview____ext_It__Nat__Onat_J,type,
% 2.84/1.53 view_ext_nat: $tType ).
% 2.84/1.53
% 2.84/1.53 thf(ty_n_t__Product____Type__Ounit,type,
% 2.84/1.53 product_unit: $tType ).
% 2.84/1.53
% 2.84/1.53 thf(ty_n_t__RealInt__Oreal____int,type,
% 2.84/1.53 real_int: $tType ).
% 2.84/1.53
% 2.84/1.53 thf(ty_n_t__NatInt__Onat____int,type,
% 2.84/1.53 nat_int: $tType ).
% 2.84/1.53
% 2.84/1.53 thf(ty_n_t__Traffic__Otraffic,type,
% 2.84/1.53 traffic: $tType ).
% 2.84/1.53
% 2.84/1.53 thf(ty_n_t__Real__Oreal,type,
% 2.84/1.53 real: $tType ).
% 2.84/1.53
% 2.84/1.53 thf(ty_n_t__Cars__Ocars,type,
% 2.84/1.53 cars: $tType ).
% 2.84/1.53
% 2.84/1.53 thf(ty_n_t__Nat__Onat,type,
% 2.84/1.53 nat: $tType ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Fun_Ofun__upd_001t__Cars__Ocars_001_062_It__Real__Oreal_Mt__Real__Oreal_J,type,
% 2.84/1.53 fun_up1431237090l_real: ( cars > real > real ) > cars > ( real > real ) > cars > real > real ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Fun_Ofun__upd_001t__Cars__Ocars_001t__NatInt__Onat____int,type,
% 2.84/1.53 fun_upd_cars_nat_int: ( cars > nat_int ) > cars > nat_int > cars > nat_int ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal,type,
% 2.84/1.53 minus_minus_real: real > real > real ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_HOL_Odefault__class_Odefault_001t__Product____Type__Ounit,type,
% 2.84/1.53 defaul1399868459t_unit: product_unit ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_If_001_062_It__Real__Oreal_Mt__Real__Oreal_J,type,
% 2.84/1.53 if_real_real: $o > ( real > real ) > ( real > real ) > real > real ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_If_001t__NatInt__Onat____int,type,
% 2.84/1.53 if_nat_int: $o > nat_int > nat_int > nat_int ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Move_Otraffic_Omove,type,
% 2.84/1.53 move: traffic > traffic > view_e774982825t_unit > view_e774982825t_unit ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_NatInt_Onat__int_ON__Chop,type,
% 2.84/1.53 nat_N_Chop: nat_int > nat_int > nat_int > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_NatInt_Onat__int_Ocard_H,type,
% 2.84/1.53 nat_card: nat_int > nat ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_NatInt_Onat__int_Oconsec,type,
% 2.84/1.53 nat_consec: nat_int > nat_int > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_NatInt_Onat__int_Onot__in,type,
% 2.84/1.53 nat_not_in: nat > nat_int > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_NatInt_Onat__int_Ounion,type,
% 2.84/1.53 nat_union: nat_int > nat_int > nat_int ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Orderings_Obot__class_Obot_001t__NatInt__Onat____int,type,
% 2.84/1.53 bot_bot_nat_int: nat_int ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat,type,
% 2.84/1.53 bot_bot_nat: nat ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Orderings_Obot__class_Obot_001t__Product____Type__Ounit,type,
% 2.84/1.53 bot_bot_Product_unit: product_unit ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Orderings_Oord__class_Oless_001t__NatInt__Onat____int,type,
% 2.84/1.53 ord_less_nat_int: nat_int > nat_int > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat,type,
% 2.84/1.53 ord_less_nat: nat > nat > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Orderings_Oord__class_Oless_001t__RealInt__Oreal____int,type,
% 2.84/1.53 ord_less_real_int: real_int > real_int > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Orderings_Oord__class_Oless_001t__Views__Oview__Oview____ext_It__NatInt__Onat____int_J,type,
% 2.84/1.53 ord_le893810930at_int: view_ext_nat_int > view_ext_nat_int > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Orderings_Oord__class_Oless_001t__Views__Oview__Oview____ext_It__Nat__Onat_J,type,
% 2.84/1.53 ord_le1522419062xt_nat: view_ext_nat > view_ext_nat > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Orderings_Oord__class_Oless_001t__Views__Oview__Oview____ext_It__Product____Type__Ounit_J,type,
% 2.84/1.53 ord_le1993783549t_unit: view_e774982825t_unit > view_e774982825t_unit > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Orderings_Oord__class_Oless_001t__Views__Oview__Oview____ext_It__RealInt__Oreal____int_J,type,
% 2.84/1.53 ord_le147108278al_int: view_ext_real_int > view_ext_real_int > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Orderings_Oord__class_Oless_001t__Views__Oview__Oview____ext_It__Views__Oview__Oview____ext_It__Product____Type__Ounit_J_J,type,
% 2.84/1.53 ord_le750644047t_unit: view_e665166499t_unit > view_e665166499t_unit > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__NatInt__Onat____int,type,
% 2.84/1.53 ord_less_eq_nat_int: nat_int > nat_int > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat,type,
% 2.84/1.53 ord_less_eq_nat: nat > nat > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Product____Type__Ounit,type,
% 2.84/1.53 ord_le1997193645t_unit: product_unit > product_unit > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__RealInt__Oreal____int,type,
% 2.84/1.53 ord_less_eq_real_int: real_int > real_int > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal,type,
% 2.84/1.53 ord_less_eq_real: real > real > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Views__Oview__Oview____ext_It__NatInt__Onat____int_J,type,
% 2.84/1.53 ord_le1902160870at_int: view_ext_nat_int > view_ext_nat_int > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Views__Oview__Oview____ext_It__Nat__Onat_J,type,
% 2.84/1.53 ord_le1036425834xt_nat: view_ext_nat > view_ext_nat > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Views__Oview__Oview____ext_It__Product____Type__Ounit_J,type,
% 2.84/1.53 ord_le461438217t_unit: view_e774982825t_unit > view_e774982825t_unit > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Views__Oview__Oview____ext_It__RealInt__Oreal____int_J,type,
% 2.84/1.53 ord_le1863101098al_int: view_ext_real_int > view_ext_real_int > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Views__Oview__Oview____ext_It__Views__Oview__Oview____ext_It__Product____Type__Ounit_J_J,type,
% 2.84/1.53 ord_le63244867t_unit: view_e665166499t_unit > view_e665166499t_unit > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Product__Type_OUnity,type,
% 2.84/1.53 product_Unity: product_unit ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_RealInt_Oreal__int_OR__Chop,type,
% 2.84/1.53 real_R_Chop: real_int > real_int > real_int > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_RealInt_Oreal__int_Oshift,type,
% 2.84/1.53 real_shift: real_int > real > real_int ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Traffic_Otraffic_Oabstract,type,
% 2.84/1.53 abstract: traffic > traffic > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Traffic_Otraffic_Obraking__distance,type,
% 2.84/1.53 braking_distance: traffic > cars > real ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Traffic_Otraffic_Ochange__dyn,type,
% 2.84/1.53 change_dyn: traffic > cars > ( real > real ) > traffic > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Traffic_Otraffic_Oclm,type,
% 2.84/1.53 clm: traffic > cars > nat_int ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Traffic_Otraffic_Ocreate__claim,type,
% 2.84/1.53 create_claim: traffic > cars > nat > traffic > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Traffic_Otraffic_Ocreate__reservation,type,
% 2.84/1.53 create_reservation: traffic > cars > traffic > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Traffic_Otraffic_Odyn,type,
% 2.84/1.53 dyn: traffic > cars > real > real ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Traffic_Otraffic_Oevolve,type,
% 2.84/1.53 evolve: traffic > traffic > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Traffic_Otraffic_Ophysical__size,type,
% 2.84/1.53 physical_size: traffic > cars > real ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Traffic_Otraffic_Opos,type,
% 2.84/1.53 pos: traffic > cars > real ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Traffic_Otraffic_Ores,type,
% 2.84/1.53 res: traffic > cars > nat_int ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Traffic_Otraffic_Owithdraw__claim,type,
% 2.84/1.53 withdraw_claim: traffic > cars > traffic > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Traffic_Otraffic_Owithdraw__reservation,type,
% 2.84/1.53 withdraw_reservation: traffic > cars > nat > traffic > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Views_Oview_Oext_001t__NatInt__Onat____int,type,
% 2.84/1.53 ext_nat_int: view_ext_nat_int > real_int ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Views_Oview_Oext_001t__Nat__Onat,type,
% 2.84/1.53 ext_nat: view_ext_nat > real_int ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Views_Oview_Oext_001t__Product____Type__Ounit,type,
% 2.84/1.53 ext_Product_unit: view_e774982825t_unit > real_int ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Views_Oview_Oext_001t__RealInt__Oreal____int,type,
% 2.84/1.53 ext_real_int: view_ext_real_int > real_int ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Views_Oview_Oext_001t__Views__Oview__Oview____ext_It__Product____Type__Ounit_J,type,
% 2.84/1.53 ext_vi2102772532t_unit: view_e665166499t_unit > real_int ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Views_Oview_Ohchop,type,
% 2.84/1.53 hchop: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Views_Oview_Olan_001t__NatInt__Onat____int,type,
% 2.84/1.53 lan_nat_int: view_ext_nat_int > nat_int ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Views_Oview_Olan_001t__Nat__Onat,type,
% 2.84/1.53 lan_nat: view_ext_nat > nat_int ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Views_Oview_Olan_001t__Product____Type__Ounit,type,
% 2.84/1.53 lan_Product_unit: view_e774982825t_unit > nat_int ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Views_Oview_Olan_001t__RealInt__Oreal____int,type,
% 2.84/1.53 lan_real_int: view_ext_real_int > nat_int ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Views_Oview_Olan_001t__Views__Oview__Oview____ext_It__Product____Type__Ounit_J,type,
% 2.84/1.53 lan_vi1543476748t_unit: view_e665166499t_unit > nat_int ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Views_Oview_Omore_001t__NatInt__Onat____int,type,
% 2.84/1.53 more_nat_int: view_ext_nat_int > nat_int ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Views_Oview_Omore_001t__Nat__Onat,type,
% 2.84/1.53 more_nat: view_ext_nat > nat ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Views_Oview_Omore_001t__Product____Type__Ounit,type,
% 2.84/1.53 more_Product_unit: view_e774982825t_unit > product_unit ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Views_Oview_Omore_001t__RealInt__Oreal____int,type,
% 2.84/1.53 more_real_int: view_ext_real_int > real_int ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Views_Oview_Omore_001t__Views__Oview__Oview____ext_It__Product____Type__Ounit_J,type,
% 2.84/1.53 more_v92543030t_unit: view_e665166499t_unit > view_e774982825t_unit ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Views_Oview_Oown_001t__NatInt__Onat____int,type,
% 2.84/1.53 own_nat_int: view_ext_nat_int > cars ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Views_Oview_Oown_001t__Nat__Onat,type,
% 2.84/1.53 own_nat: view_ext_nat > cars ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Views_Oview_Oown_001t__Product____Type__Ounit,type,
% 2.84/1.53 own_Product_unit: view_e774982825t_unit > cars ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Views_Oview_Oown_001t__RealInt__Oreal____int,type,
% 2.84/1.53 own_real_int: view_ext_real_int > cars ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Views_Oview_Oown_001t__Views__Oview__Oview____ext_It__Product____Type__Ounit_J,type,
% 2.84/1.53 own_vi676290681t_unit: view_e665166499t_unit > cars ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Views_Oview_Oswitch,type,
% 2.84/1.53 switch: view_e774982825t_unit > cars > view_e774982825t_unit > $o ).
% 2.84/1.53
% 2.84/1.53 thf(sy_c_Views_Oview_Oview__ext_001t__Product____Type__Ounit,type,
% 2.84/1.53 view_e912666823t_unit: real_int > nat_int > cars > product_unit > view_e774982825t_unit ).
% 2.84/1.53
% 2.84/1.53 thf(sy_v_ts_H_H____,type,
% 2.84/1.53 ts: traffic ).
% 2.84/1.53
% 2.84/1.53 thf(sy_v_ts_H____,type,
% 2.84/1.53 ts2: traffic ).
% 2.84/1.53
% 2.84/1.53 thf(sy_v_ts_Ha____,type,
% 2.84/1.53 ts_a: traffic ).
% 2.84/1.53
% 2.84/1.53 thf(sy_v_ts____,type,
% 2.84/1.53 ts3: traffic ).
% 2.84/1.53
% 2.84/1.53 thf(sy_v_v____,type,
% 2.84/1.53 v: view_e774982825t_unit ).
% 2.84/1.53
% 2.84/1.53 thf(fact_0_cr__res_Ohyps_I1_J,axiom,
% 2.84/1.53 abstract @ ts3 @ ts_a ).
% 2.84/1.53
% 2.84/1.53 thf(fact_1_cr__res_Ohyps_I2_J,axiom,
% 2.84/1.53 ? [C: cars] : ( create_reservation @ ts_a @ C @ ts ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_2_local_Ohmlsl_Oglobally__4,axiom,
% 2.84/1.53 ! [Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 2.84/1.53 ( ! [Ts2: traffic] :
% 2.84/1.53 ( ( abstract @ Ts @ Ts2 )
% 2.84/1.53 => ( Phi @ Ts2 @ ( move @ Ts @ Ts2 @ V ) ) )
% 2.84/1.53 => ! [Ts3: traffic] :
% 2.84/1.53 ( ( abstract @ Ts @ Ts3 )
% 2.84/1.53 => ! [Ts_a: traffic] :
% 2.84/1.53 ( ( abstract @ Ts3 @ Ts_a )
% 2.84/1.53 => ( Phi @ Ts_a @ ( move @ Ts3 @ Ts_a @ ( move @ Ts @ Ts3 @ V ) ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_3_local_Ohmlsl_Oglobally__refl,axiom,
% 2.84/1.53 ! [Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 2.84/1.53 ( ! [Ts2: traffic] :
% 2.84/1.53 ( ( abstract @ Ts @ Ts2 )
% 2.84/1.53 => ( Phi @ Ts2 @ ( move @ Ts @ Ts2 @ V ) ) )
% 2.84/1.53 => ( Phi @ Ts @ V ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_4_abs,axiom,
% 2.84/1.53 abstract @ ts3 @ ts2 ).
% 2.84/1.53
% 2.84/1.53 thf(fact_5__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,axiom,
% 2.84/1.53 ( ( move @ ts3 @ ts_a @ v )
% 2.84/1.53 = ( move @ ts_a @ ts @ ( move @ ts3 @ ts_a @ v ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_6_traffic_Omove__nothing,axiom,
% 2.84/1.53 ! [Ts4: traffic,V2: view_e774982825t_unit] :
% 2.84/1.53 ( ( move @ Ts4 @ Ts4 @ V2 )
% 2.84/1.53 = V2 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_7_traffic_Omove__def,axiom,
% 2.84/1.53 ( move
% 2.84/1.53 = ( ^ [Ts5: traffic,Ts6: traffic,V3: view_e774982825t_unit] : ( view_e912666823t_unit @ ( real_shift @ ( ext_Product_unit @ V3 ) @ ( minus_minus_real @ ( pos @ Ts6 @ ( own_Product_unit @ V3 ) ) @ ( pos @ Ts5 @ ( own_Product_unit @ V3 ) ) ) ) @ ( lan_Product_unit @ V3 ) @ ( own_Product_unit @ V3 ) @ product_Unity ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_8_traffic_Omove__stability__res,axiom,
% 2.84/1.53 ! [Ts4: traffic,C2: cars,Ts7: traffic,V2: view_e774982825t_unit] :
% 2.84/1.53 ( ( create_reservation @ Ts4 @ C2 @ Ts7 )
% 2.84/1.53 => ( ( move @ Ts4 @ Ts7 @ V2 )
% 2.84/1.53 = V2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_9_traffic_Omove__keeps__owner,axiom,
% 2.84/1.53 ! [Ts4: traffic,Ts7: traffic] :
% 2.84/1.53 ( own_Product_unit
% 2.84/1.53 = ( ^ [V3: view_e774982825t_unit] : ( own_Product_unit @ ( move @ Ts4 @ Ts7 @ V3 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_10_traffic_Omove__trans,axiom,
% 2.84/1.53 ! [Ts4: traffic,Ts7: traffic,Ts8: traffic,V2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ( abstract @ Ts4 @ Ts7 )
% 2.84/1.53 & ( abstract @ Ts7 @ Ts8 ) )
% 2.84/1.53 => ( ( move @ Ts7 @ Ts8 @ ( move @ Ts4 @ Ts7 @ V2 ) )
% 2.84/1.53 = ( move @ Ts4 @ Ts8 @ V2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_11_traffic_Omove__keeps__lanes,axiom,
% 2.84/1.53 ! [Ts4: traffic,Ts7: traffic] :
% 2.84/1.53 ( lan_Product_unit
% 2.84/1.53 = ( ^ [V3: view_e774982825t_unit] : ( lan_Product_unit @ ( move @ Ts4 @ Ts7 @ V3 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_12_traffic_Omove__stability__clm,axiom,
% 2.84/1.53 ! [Ts4: traffic,C2: cars,N: nat,Ts7: traffic,V2: view_e774982825t_unit] :
% 2.84/1.53 ( ( create_claim @ Ts4 @ C2 @ N @ Ts7 )
% 2.84/1.53 => ( ( move @ Ts4 @ Ts7 @ V2 )
% 2.84/1.53 = V2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_13_traffic_Omove__stability__wdc,axiom,
% 2.84/1.53 ! [Ts4: traffic,C2: cars,Ts7: traffic,V2: view_e774982825t_unit] :
% 2.84/1.53 ( ( withdraw_claim @ Ts4 @ C2 @ Ts7 )
% 2.84/1.53 => ( ( move @ Ts4 @ Ts7 @ V2 )
% 2.84/1.53 = V2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_14_traffic_Omove__stability__wdr,axiom,
% 2.84/1.53 ! [Ts4: traffic,C2: cars,N: nat,Ts7: traffic,V2: view_e774982825t_unit] :
% 2.84/1.53 ( ( withdraw_reservation @ Ts4 @ C2 @ N @ Ts7 )
% 2.84/1.53 => ( ( move @ Ts4 @ Ts7 @ V2 )
% 2.84/1.53 = V2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_15_local_Ohmlsl_Ohchop__assoc,axiom,
% 2.84/1.53 ! [Phi: traffic > view_e774982825t_unit > $o,Psi: traffic > view_e774982825t_unit > $o,Chi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 2.84/1.53 ( ( ? [W: view_e774982825t_unit,U: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V @ W @ U )
% 2.84/1.53 & ( Phi @ Ts @ W )
% 2.84/1.53 & ? [X: view_e774982825t_unit,Y: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ U @ X @ Y )
% 2.84/1.53 & ( Psi @ Ts @ X )
% 2.84/1.53 & ( Chi @ Ts @ Y ) ) ) )
% 2.84/1.53 = ( ? [W: view_e774982825t_unit,U: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V @ W @ U )
% 2.84/1.53 & ? [X: view_e774982825t_unit,Y: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ W @ X @ Y )
% 2.84/1.53 & ( Phi @ Ts @ X )
% 2.84/1.53 & ( Psi @ Ts @ Y ) )
% 2.84/1.53 & ( Chi @ Ts @ U ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_16_local_Ohmlsl_Ohchop__disj__distr1,axiom,
% 2.84/1.53 ! [Phi: traffic > view_e774982825t_unit > $o,Psi: traffic > view_e774982825t_unit > $o,Chi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 2.84/1.53 ( ( ? [W: view_e774982825t_unit,U: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V @ W @ U )
% 2.84/1.53 & ( Phi @ Ts @ W )
% 2.84/1.53 & ( ( Psi @ Ts @ U )
% 2.84/1.53 | ( Chi @ Ts @ U ) ) ) )
% 2.84/1.53 = ( ? [W: view_e774982825t_unit,U: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V @ W @ U )
% 2.84/1.53 & ( Phi @ Ts @ W )
% 2.84/1.53 & ( Psi @ Ts @ U ) )
% 2.84/1.53 | ? [W: view_e774982825t_unit,U: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V @ W @ U )
% 2.84/1.53 & ( Phi @ Ts @ W )
% 2.84/1.53 & ( Chi @ Ts @ U ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_17_local_Ohmlsl_Ohchop__disj__distr2,axiom,
% 2.84/1.53 ! [Psi: traffic > view_e774982825t_unit > $o,Chi: traffic > view_e774982825t_unit > $o,Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 2.84/1.53 ( ( ? [W: view_e774982825t_unit,U: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V @ W @ U )
% 2.84/1.53 & ( ( Psi @ Ts @ W )
% 2.84/1.53 | ( Chi @ Ts @ W ) )
% 2.84/1.53 & ( Phi @ Ts @ U ) ) )
% 2.84/1.53 = ( ? [W: view_e774982825t_unit,U: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V @ W @ U )
% 2.84/1.53 & ( Psi @ Ts @ W )
% 2.84/1.53 & ( Phi @ Ts @ U ) )
% 2.84/1.53 | ? [W: view_e774982825t_unit,U: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V @ W @ U )
% 2.84/1.53 & ( Chi @ Ts @ W )
% 2.84/1.53 & ( Phi @ Ts @ U ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_18_local_Ohmlsl_Ohchop__weaken2,axiom,
% 2.84/1.53 ! [Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 2.84/1.53 ( ( Phi @ Ts @ V )
% 2.84/1.53 => ? [Va: view_e774982825t_unit,U2: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V @ Va @ U2 )
% 2.84/1.53 & ( Phi @ Ts @ U2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_19_local_Ohmlsl_Ohchop__weaken1,axiom,
% 2.84/1.53 ! [Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 2.84/1.53 ( ( Phi @ Ts @ V )
% 2.84/1.53 => ? [Va: view_e774982825t_unit] :
% 2.84/1.53 ( ? [X_1: view_e774982825t_unit] : ( hchop @ V @ Va @ X_1 )
% 2.84/1.53 & ( Phi @ Ts @ Va ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_20_local_Ohmlsl_Ohchop__weaken,axiom,
% 2.84/1.53 ! [Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 2.84/1.53 ( ( Phi @ Ts @ V )
% 2.84/1.53 => ? [Va: view_e774982825t_unit,U2: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V @ Va @ U2 )
% 2.84/1.53 & ? [Vb: view_e774982825t_unit] :
% 2.84/1.53 ( ? [X_1: view_e774982825t_unit] : ( hchop @ U2 @ Vb @ X_1 )
% 2.84/1.53 & ( Phi @ Ts @ Vb ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_21_local_Ohmlsl_Ohchop__neg2,axiom,
% 2.84/1.53 ! [Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 2.84/1.53 ( ~ ? [Va: view_e774982825t_unit,U2: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V @ Va @ U2 )
% 2.84/1.53 & ( Phi @ Ts @ U2 ) )
% 2.84/1.53 => ? [Va: view_e774982825t_unit,U2: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V @ Va @ U2 )
% 2.84/1.53 & ~ ( Phi @ Ts @ U2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_22_local_Ohmlsl_Ohchop__neg1,axiom,
% 2.84/1.53 ! [Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 2.84/1.53 ( ~ ? [Va: view_e774982825t_unit] :
% 2.84/1.53 ( ? [X_1: view_e774982825t_unit] : ( hchop @ V @ Va @ X_1 )
% 2.84/1.53 & ( Phi @ Ts @ Va ) )
% 2.84/1.53 => ? [Va: view_e774982825t_unit] :
% 2.84/1.53 ( ? [X_1: view_e774982825t_unit] : ( hchop @ V @ Va @ X_1 )
% 2.84/1.53 & ~ ( Phi @ Ts @ Va ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_23_ext__inject,axiom,
% 2.84/1.53 ! [Ext: real_int,Lan: nat_int,Own: cars,More: product_unit,Ext2: real_int,Lan2: nat_int,Own2: cars,More2: product_unit] :
% 2.84/1.53 ( ( ( view_e912666823t_unit @ Ext @ Lan @ Own @ More )
% 2.84/1.53 = ( view_e912666823t_unit @ Ext2 @ Lan2 @ Own2 @ More2 ) )
% 2.84/1.53 = ( ( Ext = Ext2 )
% 2.84/1.53 & ( Lan = Lan2 )
% 2.84/1.53 & ( Own = Own2 )
% 2.84/1.53 & ( More = More2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_24_cases,axiom,
% 2.84/1.53 ! [R: view_e774982825t_unit] :
% 2.84/1.53 ~ ! [Ext3: real_int,Lan3: nat_int,Own3: cars] :
% 2.84/1.53 ( R
% 2.84/1.53 != ( view_e912666823t_unit @ Ext3 @ Lan3 @ Own3 @ product_Unity ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_25_induct,axiom,
% 2.84/1.53 ! [P: view_e774982825t_unit > $o,R: view_e774982825t_unit] :
% 2.84/1.53 ( ! [Ext3: real_int,Lan3: nat_int,Own3: cars] : ( P @ ( view_e912666823t_unit @ Ext3 @ Lan3 @ Own3 @ product_Unity ) )
% 2.84/1.53 => ( P @ R ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_26_traffic_Ocr__clm,axiom,
% 2.84/1.53 ! [Ts4: traffic,Ts7: traffic,Ts8: traffic] :
% 2.84/1.53 ( ( abstract @ Ts4 @ Ts7 )
% 2.84/1.53 => ( ? [C3: cars,N2: nat] : ( create_claim @ Ts7 @ C3 @ N2 @ Ts8 )
% 2.84/1.53 => ( abstract @ Ts4 @ Ts8 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_27_traffic_Owd__clm,axiom,
% 2.84/1.53 ! [Ts4: traffic,Ts7: traffic,Ts8: traffic] :
% 2.84/1.53 ( ( abstract @ Ts4 @ Ts7 )
% 2.84/1.53 => ( ? [C3: cars] : ( withdraw_claim @ Ts7 @ C3 @ Ts8 )
% 2.84/1.53 => ( abstract @ Ts4 @ Ts8 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_28_traffic_Owd__res,axiom,
% 2.84/1.53 ! [Ts4: traffic,Ts7: traffic,Ts8: traffic] :
% 2.84/1.53 ( ( abstract @ Ts4 @ Ts7 )
% 2.84/1.53 => ( ? [C3: cars,N2: nat] : ( withdraw_reservation @ Ts7 @ C3 @ N2 @ Ts8 )
% 2.84/1.53 => ( abstract @ Ts4 @ Ts8 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_29_traffic_Ocr__res,axiom,
% 2.84/1.53 ! [Ts4: traffic,Ts7: traffic,Ts8: traffic] :
% 2.84/1.53 ( ( abstract @ Ts4 @ Ts7 )
% 2.84/1.53 => ( ? [C3: cars] : ( create_reservation @ Ts7 @ C3 @ Ts8 )
% 2.84/1.53 => ( abstract @ Ts4 @ Ts8 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_30_select__convs_I3_J,axiom,
% 2.84/1.53 ! [Ext: real_int,Lan: nat_int,Own: cars,More: product_unit] :
% 2.84/1.53 ( ( own_Product_unit @ ( view_e912666823t_unit @ Ext @ Lan @ Own @ More ) )
% 2.84/1.53 = Own ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_31_select__convs_I2_J,axiom,
% 2.84/1.53 ! [Ext: real_int,Lan: nat_int,Own: cars,More: product_unit] :
% 2.84/1.53 ( ( lan_Product_unit @ ( view_e912666823t_unit @ Ext @ Lan @ Own @ More ) )
% 2.84/1.53 = Lan ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_32_view_Ohorizontal__chop__empty__right,axiom,
% 2.84/1.53 ! [V: view_e774982825t_unit] :
% 2.84/1.53 ? [X_1: view_e774982825t_unit] : ( hchop @ V @ V @ X_1 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_33_view_Ohorizontal__chop__empty__left,axiom,
% 2.84/1.53 ! [V: view_e774982825t_unit] :
% 2.84/1.53 ? [U2: view_e774982825t_unit] : ( hchop @ V @ U2 @ V ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_34_view_Ohorizontal__chop__assoc2,axiom,
% 2.84/1.53 ! [V2: view_e774982825t_unit,V1: view_e774982825t_unit,V22: view_e774982825t_unit,V32: view_e774982825t_unit,V4: view_e774982825t_unit] :
% 2.84/1.53 ( ( ( hchop @ V2 @ V1 @ V22 )
% 2.84/1.53 & ( hchop @ V1 @ V32 @ V4 ) )
% 2.84/1.53 => ? [V5: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V2 @ V32 @ V5 )
% 2.84/1.53 & ( hchop @ V5 @ V4 @ V22 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_35_view_Ohorizontal__chop__assoc1,axiom,
% 2.84/1.53 ! [V2: view_e774982825t_unit,V1: view_e774982825t_unit,V22: view_e774982825t_unit,V32: view_e774982825t_unit,V4: view_e774982825t_unit] :
% 2.84/1.53 ( ( ( hchop @ V2 @ V1 @ V22 )
% 2.84/1.53 & ( hchop @ V22 @ V32 @ V4 ) )
% 2.84/1.53 => ? [V5: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V2 @ V5 @ V4 )
% 2.84/1.53 & ( hchop @ V5 @ V1 @ V32 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_36_view_Ohorizontal__chop1,axiom,
% 2.84/1.53 ! [V2: view_e774982825t_unit] :
% 2.84/1.53 ? [U2: view_e774982825t_unit,X_1: view_e774982825t_unit] : ( hchop @ V2 @ U2 @ X_1 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_37_traffic_Oabstract_Orefl,axiom,
% 2.84/1.53 ! [Ts4: traffic] : ( abstract @ Ts4 @ Ts4 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_38_traffic_Oabs__trans,axiom,
% 2.84/1.53 ! [Ts1: traffic,Ts22: traffic,Ts0: traffic] :
% 2.84/1.53 ( ( abstract @ Ts1 @ Ts22 )
% 2.84/1.53 => ( ( abstract @ Ts0 @ Ts1 )
% 2.84/1.53 => ( abstract @ Ts0 @ Ts22 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_39_induct__scheme,axiom,
% 2.84/1.53 ! [P: view_e774982825t_unit > $o,R: view_e774982825t_unit] :
% 2.84/1.53 ( ! [Ext3: real_int,Lan3: nat_int,Own3: cars,More3: product_unit] : ( P @ ( view_e912666823t_unit @ Ext3 @ Lan3 @ Own3 @ More3 ) )
% 2.84/1.53 => ( P @ R ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_40_cases__scheme,axiom,
% 2.84/1.53 ! [R: view_e774982825t_unit] :
% 2.84/1.53 ~ ! [Ext3: real_int,Lan3: nat_int,Own3: cars,More3: product_unit] :
% 2.84/1.53 ( R
% 2.84/1.53 != ( view_e912666823t_unit @ Ext3 @ Lan3 @ Own3 @ More3 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_41_traffic_Oalways__create__res,axiom,
% 2.84/1.53 ! [C2: cars,Ts: traffic] :
% 2.84/1.53 ? [X_1: traffic] : ( create_reservation @ Ts @ C2 @ X_1 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_42_view_Ohorizontal__chop__own__trans,axiom,
% 2.84/1.53 ! [V2: view_e774982825t_unit,U3: view_e774982825t_unit,W2: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V2 @ U3 @ W2 )
% 2.84/1.53 => ( ( own_Product_unit @ U3 )
% 2.84/1.53 = ( own_Product_unit @ W2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_43_select__convs_I1_J,axiom,
% 2.84/1.53 ! [Ext: real_int,Lan: nat_int,Own: cars,More: product_unit] :
% 2.84/1.53 ( ( ext_Product_unit @ ( view_e912666823t_unit @ Ext @ Lan @ Own @ More ) )
% 2.84/1.53 = Ext ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_44_traffic_Ocreate__reservation__def,axiom,
% 2.84/1.53 ( create_reservation
% 2.84/1.53 = ( ^ [Ts5: traffic,C4: cars,Ts6: traffic] :
% 2.84/1.53 ( ( ( pos @ Ts6 )
% 2.84/1.53 = ( pos @ Ts5 ) )
% 2.84/1.53 & ( ( res @ Ts6 )
% 2.84/1.53 = ( fun_upd_cars_nat_int @ ( res @ Ts5 ) @ C4 @ ( nat_union @ ( res @ Ts5 @ C4 ) @ ( clm @ Ts5 @ C4 ) ) ) )
% 2.84/1.53 & ( ( dyn @ Ts6 )
% 2.84/1.53 = ( dyn @ Ts5 ) )
% 2.84/1.53 & ( ( clm @ Ts6 )
% 2.84/1.53 = ( fun_upd_cars_nat_int @ ( clm @ Ts5 ) @ C4 @ bot_bot_nat_int ) )
% 2.84/1.53 & ( ( physical_size @ Ts6 )
% 2.84/1.53 = ( physical_size @ Ts5 ) )
% 2.84/1.53 & ( ( braking_distance @ Ts6 )
% 2.84/1.53 = ( braking_distance @ Ts5 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_45_traffic_Oabstract_Oinducts,axiom,
% 2.84/1.53 ! [Ts4: traffic,X2: traffic,P: traffic > $o] :
% 2.84/1.53 ( ( abstract @ Ts4 @ X2 )
% 2.84/1.53 => ( ( P @ Ts4 )
% 2.84/1.53 => ( ! [Ts2: traffic,Ts9: traffic] :
% 2.84/1.53 ( ( abstract @ Ts4 @ Ts2 )
% 2.84/1.53 => ( ( P @ Ts2 )
% 2.84/1.53 => ( ( evolve @ Ts2 @ Ts9 )
% 2.84/1.53 => ( P @ Ts9 ) ) ) )
% 2.84/1.53 => ( ! [Ts2: traffic,Ts9: traffic] :
% 2.84/1.53 ( ( abstract @ Ts4 @ Ts2 )
% 2.84/1.53 => ( ( P @ Ts2 )
% 2.84/1.53 => ( ? [C: cars,N3: nat] : ( create_claim @ Ts2 @ C @ N3 @ Ts9 )
% 2.84/1.53 => ( P @ Ts9 ) ) ) )
% 2.84/1.53 => ( ! [Ts2: traffic,Ts9: traffic] :
% 2.84/1.53 ( ( abstract @ Ts4 @ Ts2 )
% 2.84/1.53 => ( ( P @ Ts2 )
% 2.84/1.53 => ( ? [C: cars] : ( withdraw_claim @ Ts2 @ C @ Ts9 )
% 2.84/1.53 => ( P @ Ts9 ) ) ) )
% 2.84/1.53 => ( ! [Ts2: traffic,Ts9: traffic] :
% 2.84/1.53 ( ( abstract @ Ts4 @ Ts2 )
% 2.84/1.53 => ( ( P @ Ts2 )
% 2.84/1.53 => ( ? [C: cars] : ( create_reservation @ Ts2 @ C @ Ts9 )
% 2.84/1.53 => ( P @ Ts9 ) ) ) )
% 2.84/1.53 => ( ! [Ts2: traffic,Ts9: traffic] :
% 2.84/1.53 ( ( abstract @ Ts4 @ Ts2 )
% 2.84/1.53 => ( ( P @ Ts2 )
% 2.84/1.53 => ( ? [C: cars,N3: nat] : ( withdraw_reservation @ Ts2 @ C @ N3 @ Ts9 )
% 2.84/1.53 => ( P @ Ts9 ) ) ) )
% 2.84/1.53 => ( P @ X2 ) ) ) ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_46_traffic_Oabstract_Osimps,axiom,
% 2.84/1.53 ( abstract
% 2.84/1.53 = ( ^ [Ts5: traffic,A: traffic] :
% 2.84/1.53 ( ( A = Ts5 )
% 2.84/1.53 | ? [Ts6: traffic,Ts10: traffic] :
% 2.84/1.53 ( ( A = Ts10 )
% 2.84/1.53 & ( abstract @ Ts5 @ Ts6 )
% 2.84/1.53 & ( evolve @ Ts6 @ Ts10 ) )
% 2.84/1.53 | ? [Ts6: traffic,Ts10: traffic] :
% 2.84/1.53 ( ( A = Ts10 )
% 2.84/1.53 & ( abstract @ Ts5 @ Ts6 )
% 2.84/1.53 & ? [C4: cars,N4: nat] : ( create_claim @ Ts6 @ C4 @ N4 @ Ts10 ) )
% 2.84/1.53 | ? [Ts6: traffic,Ts10: traffic] :
% 2.84/1.53 ( ( A = Ts10 )
% 2.84/1.53 & ( abstract @ Ts5 @ Ts6 )
% 2.84/1.53 & ? [C4: cars] : ( withdraw_claim @ Ts6 @ C4 @ Ts10 ) )
% 2.84/1.53 | ? [Ts6: traffic,Ts10: traffic] :
% 2.84/1.53 ( ( A = Ts10 )
% 2.84/1.53 & ( abstract @ Ts5 @ Ts6 )
% 2.84/1.53 & ? [C4: cars] : ( create_reservation @ Ts6 @ C4 @ Ts10 ) )
% 2.84/1.53 | ? [Ts6: traffic,Ts10: traffic] :
% 2.84/1.53 ( ( A = Ts10 )
% 2.84/1.53 & ( abstract @ Ts5 @ Ts6 )
% 2.84/1.53 & ? [C4: cars,N4: nat] : ( withdraw_reservation @ Ts6 @ C4 @ N4 @ Ts10 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_47_traffic_Oabstract_Ocases,axiom,
% 2.84/1.53 ! [Ts4: traffic,A2: traffic] :
% 2.84/1.53 ( ( abstract @ Ts4 @ A2 )
% 2.84/1.53 => ( ( A2 != Ts4 )
% 2.84/1.53 => ( ! [Ts2: traffic] :
% 2.84/1.53 ( ( abstract @ Ts4 @ Ts2 )
% 2.84/1.53 => ~ ( evolve @ Ts2 @ A2 ) )
% 2.84/1.53 => ( ! [Ts2: traffic] :
% 2.84/1.53 ( ( abstract @ Ts4 @ Ts2 )
% 2.84/1.53 => ~ ? [C: cars,N3: nat] : ( create_claim @ Ts2 @ C @ N3 @ A2 ) )
% 2.84/1.53 => ( ! [Ts2: traffic] :
% 2.84/1.53 ( ( abstract @ Ts4 @ Ts2 )
% 2.84/1.53 => ~ ? [C: cars] : ( withdraw_claim @ Ts2 @ C @ A2 ) )
% 2.84/1.53 => ( ! [Ts2: traffic] :
% 2.84/1.53 ( ( abstract @ Ts4 @ Ts2 )
% 2.84/1.53 => ~ ? [C: cars] : ( create_reservation @ Ts2 @ C @ A2 ) )
% 2.84/1.53 => ~ ! [Ts2: traffic] :
% 2.84/1.53 ( ( abstract @ Ts4 @ Ts2 )
% 2.84/1.53 => ~ ? [C: cars,N3: nat] : ( withdraw_reservation @ Ts2 @ C @ N3 @ A2 ) ) ) ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_48_surjective,axiom,
% 2.84/1.53 ! [R: view_e774982825t_unit] :
% 2.84/1.53 ( R
% 2.84/1.53 = ( view_e912666823t_unit @ ( ext_Product_unit @ R ) @ ( lan_Product_unit @ R ) @ ( own_Product_unit @ R ) @ ( more_Product_unit @ R ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_49_traffic_Owithdraw__clm__eq__res,axiom,
% 2.84/1.53 ! [Ts4: traffic,D: cars,Ts7: traffic,C2: cars] :
% 2.84/1.53 ( ( withdraw_claim @ Ts4 @ D @ Ts7 )
% 2.84/1.53 => ( ( res @ Ts4 @ C2 )
% 2.84/1.53 = ( res @ Ts7 @ C2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_50_traffic_Ocreate__clm__eq__res,axiom,
% 2.84/1.53 ! [Ts4: traffic,D: cars,N: nat,Ts7: traffic,C2: cars] :
% 2.84/1.53 ( ( create_claim @ Ts4 @ D @ N @ Ts7 )
% 2.84/1.53 => ( ( res @ Ts4 @ C2 )
% 2.84/1.53 = ( res @ Ts7 @ C2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_51_traffic_Ocreate__res__subseteq1__neq,axiom,
% 2.84/1.53 ! [Ts4: traffic,D: cars,Ts7: traffic,C2: cars] :
% 2.84/1.53 ( ( ( create_reservation @ Ts4 @ D @ Ts7 )
% 2.84/1.53 & ( D != C2 ) )
% 2.84/1.53 => ( ( res @ Ts4 @ C2 )
% 2.84/1.53 = ( res @ Ts7 @ C2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_52_traffic_Ocreate__res__subseteq2__neq,axiom,
% 2.84/1.53 ! [Ts4: traffic,D: cars,Ts7: traffic,C2: cars] :
% 2.84/1.53 ( ( ( create_reservation @ Ts4 @ D @ Ts7 )
% 2.84/1.53 & ( D != C2 ) )
% 2.84/1.53 => ( ( clm @ Ts4 @ C2 )
% 2.84/1.53 = ( clm @ Ts7 @ C2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_53_traffic_Oevolve__trans,axiom,
% 2.84/1.53 ! [Ts0: traffic,Ts1: traffic,Ts22: traffic] :
% 2.84/1.53 ( ( evolve @ Ts0 @ Ts1 )
% 2.84/1.53 => ( ( evolve @ Ts1 @ Ts22 )
% 2.84/1.53 => ( evolve @ Ts0 @ Ts22 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_54_traffic_Oevolve_Orefl,axiom,
% 2.84/1.53 ! [Ts4: traffic] : ( evolve @ Ts4 @ Ts4 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_55_traffic_Owithdraw__claim__def,axiom,
% 2.84/1.53 ( withdraw_claim
% 2.84/1.53 = ( ^ [Ts5: traffic,C4: cars,Ts6: traffic] :
% 2.84/1.53 ( ( ( pos @ Ts6 )
% 2.84/1.53 = ( pos @ Ts5 ) )
% 2.84/1.53 & ( ( res @ Ts6 )
% 2.84/1.53 = ( res @ Ts5 ) )
% 2.84/1.53 & ( ( dyn @ Ts6 )
% 2.84/1.53 = ( dyn @ Ts5 ) )
% 2.84/1.53 & ( ( physical_size @ Ts6 )
% 2.84/1.53 = ( physical_size @ Ts5 ) )
% 2.84/1.53 & ( ( braking_distance @ Ts6 )
% 2.84/1.53 = ( braking_distance @ Ts5 ) )
% 2.84/1.53 & ( ( clm @ Ts6 )
% 2.84/1.53 = ( fun_upd_cars_nat_int @ ( clm @ Ts5 ) @ C4 @ bot_bot_nat_int ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_56_traffic_Oevolve,axiom,
% 2.84/1.53 ! [Ts4: traffic,Ts7: traffic,Ts8: traffic] :
% 2.84/1.53 ( ( abstract @ Ts4 @ Ts7 )
% 2.84/1.53 => ( ( evolve @ Ts7 @ Ts8 )
% 2.84/1.53 => ( abstract @ Ts4 @ Ts8 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_57_select__convs_I4_J,axiom,
% 2.84/1.53 ! [Ext: real_int,Lan: nat_int,Own: cars,More: product_unit] :
% 2.84/1.53 ( ( more_Product_unit @ ( view_e912666823t_unit @ Ext @ Lan @ Own @ More ) )
% 2.84/1.53 = More ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_58_equality,axiom,
% 2.84/1.53 ! [R: view_e774982825t_unit,R2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ( ext_Product_unit @ R )
% 2.84/1.53 = ( ext_Product_unit @ R2 ) )
% 2.84/1.53 => ( ( ( lan_Product_unit @ R )
% 2.84/1.53 = ( lan_Product_unit @ R2 ) )
% 2.84/1.53 => ( ( ( own_Product_unit @ R )
% 2.84/1.53 = ( own_Product_unit @ R2 ) )
% 2.84/1.53 => ( ( ( more_Product_unit @ R )
% 2.84/1.53 = ( more_Product_unit @ R2 ) )
% 2.84/1.53 => ( R = R2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_59_fun__upd__upd,axiom,
% 2.84/1.53 ! [F: cars > nat_int,X2: cars,Y2: nat_int,Z: nat_int] :
% 2.84/1.53 ( ( fun_upd_cars_nat_int @ ( fun_upd_cars_nat_int @ F @ X2 @ Y2 ) @ X2 @ Z )
% 2.84/1.53 = ( fun_upd_cars_nat_int @ F @ X2 @ Z ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_60_fun__upd__upd,axiom,
% 2.84/1.53 ! [F: cars > real > real,X2: cars,Y2: real > real,Z: real > real] :
% 2.84/1.53 ( ( fun_up1431237090l_real @ ( fun_up1431237090l_real @ F @ X2 @ Y2 ) @ X2 @ Z )
% 2.84/1.53 = ( fun_up1431237090l_real @ F @ X2 @ Z ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_61_fun__upd__triv,axiom,
% 2.84/1.53 ! [F: cars > nat_int,X2: cars] :
% 2.84/1.53 ( ( fun_upd_cars_nat_int @ F @ X2 @ ( F @ X2 ) )
% 2.84/1.53 = F ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_62_fun__upd__triv,axiom,
% 2.84/1.53 ! [F: cars > real > real,X2: cars] :
% 2.84/1.53 ( ( fun_up1431237090l_real @ F @ X2 @ ( F @ X2 ) )
% 2.84/1.53 = F ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_63_fun__upd__apply,axiom,
% 2.84/1.53 ( fun_upd_cars_nat_int
% 2.84/1.53 = ( ^ [F2: cars > nat_int,X: cars,Y: nat_int,Z2: cars] : ( if_nat_int @ ( Z2 = X ) @ Y @ ( F2 @ Z2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_64_fun__upd__apply,axiom,
% 2.84/1.53 ( fun_up1431237090l_real
% 2.84/1.53 = ( ^ [F2: cars > real > real,X: cars,Y: real > real,Z2: cars] : ( if_real_real @ ( Z2 = X ) @ Y @ ( F2 @ Z2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_65_un__empty__absorb1,axiom,
% 2.84/1.53 ! [I: nat_int] :
% 2.84/1.53 ( ( nat_union @ I @ bot_bot_nat_int )
% 2.84/1.53 = I ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_66_un__empty__absorb2,axiom,
% 2.84/1.53 ! [I: nat_int] :
% 2.84/1.53 ( ( nat_union @ bot_bot_nat_int @ I )
% 2.84/1.53 = I ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_67_view_Ohchop__def,axiom,
% 2.84/1.53 ( hchop
% 2.84/1.53 = ( ^ [V3: view_e774982825t_unit,U: view_e774982825t_unit,W: view_e774982825t_unit] :
% 2.84/1.53 ( ( real_R_Chop @ ( ext_Product_unit @ V3 ) @ ( ext_Product_unit @ U ) @ ( ext_Product_unit @ W ) )
% 2.84/1.53 & ( ( lan_Product_unit @ V3 )
% 2.84/1.53 = ( lan_Product_unit @ U ) )
% 2.84/1.53 & ( ( lan_Product_unit @ V3 )
% 2.84/1.53 = ( lan_Product_unit @ W ) )
% 2.84/1.53 & ( ( own_Product_unit @ V3 )
% 2.84/1.53 = ( own_Product_unit @ U ) )
% 2.84/1.53 & ( ( own_Product_unit @ V3 )
% 2.84/1.53 = ( own_Product_unit @ W ) )
% 2.84/1.53 & ( ( more_Product_unit @ V3 )
% 2.84/1.53 = ( more_Product_unit @ W ) )
% 2.84/1.53 & ( ( more_Product_unit @ V3 )
% 2.84/1.53 = ( more_Product_unit @ U ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_68_fun__upd__idem__iff,axiom,
% 2.84/1.53 ! [F: cars > nat_int,X2: cars,Y2: nat_int] :
% 2.84/1.53 ( ( ( fun_upd_cars_nat_int @ F @ X2 @ Y2 )
% 2.84/1.53 = F )
% 2.84/1.53 = ( ( F @ X2 )
% 2.84/1.53 = Y2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_69_fun__upd__idem__iff,axiom,
% 2.84/1.53 ! [F: cars > real > real,X2: cars,Y2: real > real] :
% 2.84/1.53 ( ( ( fun_up1431237090l_real @ F @ X2 @ Y2 )
% 2.84/1.53 = F )
% 2.84/1.53 = ( ( F @ X2 )
% 2.84/1.53 = Y2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_70_fun__upd__twist,axiom,
% 2.84/1.53 ! [A2: cars,C2: cars,M: cars > nat_int,B: nat_int,D: nat_int] :
% 2.84/1.53 ( ( A2 != C2 )
% 2.84/1.53 => ( ( fun_upd_cars_nat_int @ ( fun_upd_cars_nat_int @ M @ A2 @ B ) @ C2 @ D )
% 2.84/1.53 = ( fun_upd_cars_nat_int @ ( fun_upd_cars_nat_int @ M @ C2 @ D ) @ A2 @ B ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_71_fun__upd__twist,axiom,
% 2.84/1.53 ! [A2: cars,C2: cars,M: cars > real > real,B: real > real,D: real > real] :
% 2.84/1.53 ( ( A2 != C2 )
% 2.84/1.53 => ( ( fun_up1431237090l_real @ ( fun_up1431237090l_real @ M @ A2 @ B ) @ C2 @ D )
% 2.84/1.53 = ( fun_up1431237090l_real @ ( fun_up1431237090l_real @ M @ C2 @ D ) @ A2 @ B ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_72_fun__upd__other,axiom,
% 2.84/1.53 ! [Z: cars,X2: cars,F: cars > nat_int,Y2: nat_int] :
% 2.84/1.53 ( ( Z != X2 )
% 2.84/1.53 => ( ( fun_upd_cars_nat_int @ F @ X2 @ Y2 @ Z )
% 2.84/1.53 = ( F @ Z ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_73_fun__upd__other,axiom,
% 2.84/1.53 ! [Z: cars,X2: cars,F: cars > real > real,Y2: real > real] :
% 2.84/1.53 ( ( Z != X2 )
% 2.84/1.53 => ( ( fun_up1431237090l_real @ F @ X2 @ Y2 @ Z )
% 2.84/1.53 = ( F @ Z ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_74_fun__upd__same,axiom,
% 2.84/1.53 ! [F: cars > nat_int,X2: cars,Y2: nat_int] :
% 2.84/1.53 ( ( fun_upd_cars_nat_int @ F @ X2 @ Y2 @ X2 )
% 2.84/1.53 = Y2 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_75_fun__upd__same,axiom,
% 2.84/1.53 ! [F: cars > real > real,X2: cars,Y2: real > real] :
% 2.84/1.53 ( ( fun_up1431237090l_real @ F @ X2 @ Y2 @ X2 )
% 2.84/1.53 = Y2 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_76_fun__upd__idem,axiom,
% 2.84/1.53 ! [F: cars > nat_int,X2: cars,Y2: nat_int] :
% 2.84/1.53 ( ( ( F @ X2 )
% 2.84/1.53 = Y2 )
% 2.84/1.53 => ( ( fun_upd_cars_nat_int @ F @ X2 @ Y2 )
% 2.84/1.53 = F ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_77_fun__upd__idem,axiom,
% 2.84/1.53 ! [F: cars > real > real,X2: cars,Y2: real > real] :
% 2.84/1.53 ( ( ( F @ X2 )
% 2.84/1.53 = Y2 )
% 2.84/1.53 => ( ( fun_up1431237090l_real @ F @ X2 @ Y2 )
% 2.84/1.53 = F ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_78_fun__upd__eqD,axiom,
% 2.84/1.53 ! [F: cars > nat_int,X2: cars,Y2: nat_int,G: cars > nat_int,Z: nat_int] :
% 2.84/1.53 ( ( ( fun_upd_cars_nat_int @ F @ X2 @ Y2 )
% 2.84/1.53 = ( fun_upd_cars_nat_int @ G @ X2 @ Z ) )
% 2.84/1.53 => ( Y2 = Z ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_79_fun__upd__eqD,axiom,
% 2.84/1.53 ! [F: cars > real > real,X2: cars,Y2: real > real,G: cars > real > real,Z: real > real] :
% 2.84/1.53 ( ( ( fun_up1431237090l_real @ F @ X2 @ Y2 )
% 2.84/1.53 = ( fun_up1431237090l_real @ G @ X2 @ Z ) )
% 2.84/1.53 => ( Y2 = Z ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_80_fun__upd__def,axiom,
% 2.84/1.53 ( fun_upd_cars_nat_int
% 2.84/1.53 = ( ^ [F2: cars > nat_int,A: cars,B2: nat_int,X: cars] : ( if_nat_int @ ( X = A ) @ B2 @ ( F2 @ X ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_81_fun__upd__def,axiom,
% 2.84/1.53 ( fun_up1431237090l_real
% 2.84/1.53 = ( ^ [F2: cars > real > real,A: cars,B2: real > real,X: cars] : ( if_real_real @ ( X = A ) @ B2 @ ( F2 @ X ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_82_traffic_Ochange__dyn__def,axiom,
% 2.84/1.53 ( change_dyn
% 2.84/1.53 = ( ^ [Ts5: traffic,C4: cars,F2: real > real,Ts6: traffic] :
% 2.84/1.53 ( ( ( pos @ Ts6 )
% 2.84/1.53 = ( pos @ Ts5 ) )
% 2.84/1.53 & ( ( res @ Ts6 )
% 2.84/1.53 = ( res @ Ts5 ) )
% 2.84/1.53 & ( ( clm @ Ts6 )
% 2.84/1.53 = ( clm @ Ts5 ) )
% 2.84/1.53 & ( ( dyn @ Ts6 )
% 2.84/1.53 = ( fun_up1431237090l_real @ ( dyn @ Ts5 ) @ C4 @ F2 ) )
% 2.84/1.53 & ( ( physical_size @ Ts6 )
% 2.84/1.53 = ( physical_size @ Ts5 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_83_local_Ohmlsl_Owidth__hchop__stable,axiom,
% 2.84/1.53 ! [X2: nat,Ts: traffic,V: view_e774982825t_unit] :
% 2.84/1.53 ( ( ( nat_card @ ( lan_Product_unit @ V ) )
% 2.84/1.53 = X2 )
% 2.84/1.53 = ( ? [W: view_e774982825t_unit,U: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V @ W @ U )
% 2.84/1.53 & ( ( nat_card @ ( lan_Product_unit @ W ) )
% 2.84/1.53 = X2 )
% 2.84/1.53 & ( ( nat_card @ ( lan_Product_unit @ U ) )
% 2.84/1.53 = X2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_84_chop__singleton__right,axiom,
% 2.84/1.53 ! [R3: real_int] :
% 2.84/1.53 ? [X_1: real_int] : ( real_R_Chop @ R3 @ R3 @ X_1 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_85_real__int__class_Ochop__always__possible,axiom,
% 2.84/1.53 ! [R3: real_int] :
% 2.84/1.53 ? [S: real_int,X_1: real_int] : ( real_R_Chop @ R3 @ S @ X_1 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_86_chop__singleton__left,axiom,
% 2.84/1.53 ! [R3: real_int] :
% 2.84/1.53 ? [S: real_int] : ( real_R_Chop @ R3 @ S @ R3 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_87_view_Oswitch__def,axiom,
% 2.84/1.53 ( switch
% 2.84/1.53 = ( ^ [V3: view_e774982825t_unit,C4: cars,W: view_e774982825t_unit] :
% 2.84/1.53 ( ( ( ext_Product_unit @ V3 )
% 2.84/1.53 = ( ext_Product_unit @ W ) )
% 2.84/1.53 & ( ( lan_Product_unit @ V3 )
% 2.84/1.53 = ( lan_Product_unit @ W ) )
% 2.84/1.53 & ( ( own_Product_unit @ W )
% 2.84/1.53 = C4 )
% 2.84/1.53 & ( ( more_Product_unit @ V3 )
% 2.84/1.53 = ( more_Product_unit @ W ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_88_local_Ohmlsl_Oat__conj__distr,axiom,
% 2.84/1.53 ! [C2: cars,Phi: traffic > view_e774982825t_unit > $o,Psi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 2.84/1.53 ( ( ! [V6: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V @ C2 @ V6 )
% 2.84/1.53 => ( ( Phi @ Ts @ V6 )
% 2.84/1.53 & ( Psi @ Ts @ V6 ) ) ) )
% 2.84/1.53 = ( ! [V6: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V @ C2 @ V6 )
% 2.84/1.53 => ( Phi @ Ts @ V6 ) )
% 2.84/1.53 & ! [V6: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V @ C2 @ V6 )
% 2.84/1.53 => ( Psi @ Ts @ V6 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_89_local_Ohmlsl_Oat__disj__dist,axiom,
% 2.84/1.53 ! [C2: cars,Phi: traffic > view_e774982825t_unit > $o,Psi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 2.84/1.53 ( ( ! [V6: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V @ C2 @ V6 )
% 2.84/1.53 => ( ( Phi @ Ts @ V6 )
% 2.84/1.53 | ( Psi @ Ts @ V6 ) ) ) )
% 2.84/1.53 = ( ! [V6: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V @ C2 @ V6 )
% 2.84/1.53 => ( Phi @ Ts @ V6 ) )
% 2.84/1.53 | ! [V6: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V @ C2 @ V6 )
% 2.84/1.53 => ( Psi @ Ts @ V6 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_90_local_Ohmlsl_Oat__exists,axiom,
% 2.84/1.53 ! [Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 2.84/1.53 ( ( Phi @ Ts @ V )
% 2.84/1.53 => ? [X3: cars] :
% 2.84/1.53 ! [V7: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V @ X3 @ V7 )
% 2.84/1.53 => ( Phi @ Ts @ V7 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_91_local_Ohmlsl_Oat__neg,axiom,
% 2.84/1.53 ! [C2: cars,Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 2.84/1.53 ( ( ! [V6: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V @ C2 @ V6 )
% 2.84/1.53 => ~ ( Phi @ Ts @ V6 ) ) )
% 2.84/1.53 = ( ~ ! [V6: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V @ C2 @ V6 )
% 2.84/1.53 => ( Phi @ Ts @ V6 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_92_local_Ohmlsl_Oat__neg_H,axiom,
% 2.84/1.53 ! [V2: view_e774982825t_unit,C2: cars,Phi: traffic > view_e774982825t_unit > $o,Ts4: traffic] :
% 2.84/1.53 ( ( ~ ! [V6: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V2 @ C2 @ V6 )
% 2.84/1.53 => ( Phi @ Ts4 @ V6 ) ) )
% 2.84/1.53 = ( ! [V6: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V2 @ C2 @ V6 )
% 2.84/1.53 => ~ ( Phi @ Ts4 @ V6 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_93_local_Ohmlsl_Oat__neg1,axiom,
% 2.84/1.53 ! [C2: cars,Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 2.84/1.53 ( ! [V5: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V @ C2 @ V5 )
% 2.84/1.53 => ~ ( Phi @ Ts @ V5 ) )
% 2.84/1.53 => ~ ! [V5: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V @ C2 @ V5 )
% 2.84/1.53 => ( Phi @ Ts @ V5 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_94_local_Ohmlsl_Oat__neg2,axiom,
% 2.84/1.53 ! [C2: cars,Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 2.84/1.53 ( ~ ! [V7: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V @ C2 @ V7 )
% 2.84/1.53 => ( Phi @ Ts @ V7 ) )
% 2.84/1.53 => ! [V7: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V @ C2 @ V7 )
% 2.84/1.53 => ~ ( Phi @ Ts @ V7 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_95_local_Ohmlsl_Oat__neg__neg,axiom,
% 2.84/1.53 ! [C2: cars,Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 2.84/1.53 ( ( ! [V6: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V @ C2 @ V6 )
% 2.84/1.53 => ( Phi @ Ts @ V6 ) ) )
% 2.84/1.53 = ( ~ ! [V6: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V @ C2 @ V6 )
% 2.84/1.53 => ~ ( Phi @ Ts @ V6 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_96_local_Ohmlsl_Oat__neg__neg1,axiom,
% 2.84/1.53 ! [C2: cars,Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 2.84/1.53 ( ! [V5: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V @ C2 @ V5 )
% 2.84/1.53 => ( Phi @ Ts @ V5 ) )
% 2.84/1.53 => ~ ! [V5: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V @ C2 @ V5 )
% 2.84/1.53 => ~ ( Phi @ Ts @ V5 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_97_local_Ohmlsl_Oat__neg__neg2,axiom,
% 2.84/1.53 ! [C2: cars,Phi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 2.84/1.53 ( ~ ! [V7: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V @ C2 @ V7 )
% 2.84/1.53 => ~ ( Phi @ Ts @ V7 ) )
% 2.84/1.53 => ! [V7: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V @ C2 @ V7 )
% 2.84/1.53 => ( Phi @ Ts @ V7 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_98_local_Ohmlsl_Oat__hchop__dist,axiom,
% 2.84/1.53 ! [C2: cars,Phi: traffic > view_e774982825t_unit > $o,Psi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 2.84/1.53 ( ( ? [W: view_e774982825t_unit,U: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V @ W @ U )
% 2.84/1.53 & ! [V6: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ W @ C2 @ V6 )
% 2.84/1.53 => ( Phi @ Ts @ V6 ) )
% 2.84/1.53 & ! [V6: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ U @ C2 @ V6 )
% 2.84/1.53 => ( Psi @ Ts @ V6 ) ) ) )
% 2.84/1.53 = ( ! [V6: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V @ C2 @ V6 )
% 2.84/1.53 => ? [W: view_e774982825t_unit,U: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V6 @ W @ U )
% 2.84/1.53 & ( Phi @ Ts @ W )
% 2.84/1.53 & ( Psi @ Ts @ U ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_99_local_Ohmlsl_Oat__hchop__dist1,axiom,
% 2.84/1.53 ! [C2: cars,Phi: traffic > view_e774982825t_unit > $o,Psi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 2.84/1.53 ( ! [V5: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V @ C2 @ V5 )
% 2.84/1.53 => ? [Va2: view_e774982825t_unit,U4: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V5 @ Va2 @ U4 )
% 2.84/1.53 & ( Phi @ Ts @ Va2 )
% 2.84/1.53 & ( Psi @ Ts @ U4 ) ) )
% 2.84/1.53 => ? [Va: view_e774982825t_unit,U2: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V @ Va @ U2 )
% 2.84/1.53 & ! [V7: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ Va @ C2 @ V7 )
% 2.84/1.53 => ( Phi @ Ts @ V7 ) )
% 2.84/1.53 & ! [V7: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ U2 @ C2 @ V7 )
% 2.84/1.53 => ( Psi @ Ts @ V7 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_100_local_Ohmlsl_Oat__hchop__dist2,axiom,
% 2.84/1.53 ! [C2: cars,Phi: traffic > view_e774982825t_unit > $o,Psi: traffic > view_e774982825t_unit > $o,Ts: traffic,V: view_e774982825t_unit] :
% 2.84/1.53 ( ? [Va2: view_e774982825t_unit,U4: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V @ Va2 @ U4 )
% 2.84/1.53 & ! [V5: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ Va2 @ C2 @ V5 )
% 2.84/1.53 => ( Phi @ Ts @ V5 ) )
% 2.84/1.53 & ! [V5: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ U4 @ C2 @ V5 )
% 2.84/1.53 => ( Psi @ Ts @ V5 ) ) )
% 2.84/1.53 => ! [V7: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V @ C2 @ V7 )
% 2.84/1.53 => ? [Va: view_e774982825t_unit,U2: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V7 @ Va @ U2 )
% 2.84/1.53 & ( Phi @ Ts @ Va )
% 2.84/1.53 & ( Psi @ Ts @ U2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_101_view_Oswitch__always__exists,axiom,
% 2.84/1.53 ! [V2: view_e774982825t_unit,C3: cars] :
% 2.84/1.53 ? [X_1: view_e774982825t_unit] : ( switch @ V2 @ C3 @ X_1 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_102_view_Oswitch__triangle,axiom,
% 2.84/1.53 ! [V2: view_e774982825t_unit,C2: cars,U3: view_e774982825t_unit,D: cars,W2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ( switch @ V2 @ C2 @ U3 )
% 2.84/1.53 & ( switch @ V2 @ D @ W2 ) )
% 2.84/1.53 => ( switch @ U3 @ D @ W2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_103_view_Oswitch__unique,axiom,
% 2.84/1.53 ! [V2: view_e774982825t_unit,C2: cars,U3: view_e774982825t_unit,W2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ( switch @ V2 @ C2 @ U3 )
% 2.84/1.53 & ( switch @ V2 @ C2 @ W2 ) )
% 2.84/1.53 => ( U3 = W2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_104_view_Oswitch__exists,axiom,
% 2.84/1.53 ! [V2: view_e774982825t_unit] :
% 2.84/1.53 ? [C: cars,X_1: view_e774982825t_unit] : ( switch @ V2 @ C @ X_1 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_105_view_Oswitch__trans,axiom,
% 2.84/1.53 ! [V2: view_e774982825t_unit,C2: cars,U3: view_e774982825t_unit,D: cars,W2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ( switch @ V2 @ C2 @ U3 )
% 2.84/1.53 & ( switch @ U3 @ D @ W2 ) )
% 2.84/1.53 => ( switch @ V2 @ D @ W2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_106_view_Oswitch__hchop1,axiom,
% 2.84/1.53 ! [V2: view_e774982825t_unit,V1: view_e774982825t_unit,V22: view_e774982825t_unit,C2: cars,V8: view_e774982825t_unit] :
% 2.84/1.53 ( ( ( hchop @ V2 @ V1 @ V22 )
% 2.84/1.53 & ( switch @ V2 @ C2 @ V8 ) )
% 2.84/1.53 => ? [V12: view_e774982825t_unit,V23: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V1 @ C2 @ V12 )
% 2.84/1.53 & ( switch @ V22 @ C2 @ V23 )
% 2.84/1.53 & ( hchop @ V8 @ V12 @ V23 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_107_view_Oswitch__hchop2,axiom,
% 2.84/1.53 ! [V8: view_e774982825t_unit,V13: view_e774982825t_unit,V24: view_e774982825t_unit,V2: view_e774982825t_unit,C2: cars] :
% 2.84/1.53 ( ( ( hchop @ V8 @ V13 @ V24 )
% 2.84/1.53 & ( switch @ V2 @ C2 @ V8 ) )
% 2.84/1.53 => ? [V14: view_e774982825t_unit,V25: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V14 @ C2 @ V13 )
% 2.84/1.53 & ( switch @ V25 @ C2 @ V24 )
% 2.84/1.53 & ( hchop @ V2 @ V14 @ V25 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_108_view_Oswitch__refl,axiom,
% 2.84/1.53 ! [V2: view_e774982825t_unit] : ( switch @ V2 @ ( own_Product_unit @ V2 ) @ V2 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_109_view_Oswitch__symm,axiom,
% 2.84/1.53 ! [V2: view_e774982825t_unit,C2: cars,U3: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V2 @ C2 @ U3 )
% 2.84/1.53 => ( switch @ U3 @ ( own_Product_unit @ V2 ) @ V2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_110_view_Oswitch__origin,axiom,
% 2.84/1.53 ! [V2: view_e774982825t_unit] :
% 2.84/1.53 ? [U2: view_e774982825t_unit] : ( switch @ U2 @ ( own_Product_unit @ V2 ) @ V2 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_111_view_Ohorizontal__chop__width__stable,axiom,
% 2.84/1.53 ! [V2: view_e774982825t_unit,U3: view_e774982825t_unit,W2: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V2 @ U3 @ W2 )
% 2.84/1.53 => ( ( ( nat_card @ ( lan_Product_unit @ V2 ) )
% 2.84/1.53 = ( nat_card @ ( lan_Product_unit @ U3 ) ) )
% 2.84/1.53 & ( ( nat_card @ ( lan_Product_unit @ V2 ) )
% 2.84/1.53 = ( nat_card @ ( lan_Product_unit @ W2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_112_traffic_Ochange,axiom,
% 2.84/1.53 ! [Ts4: traffic,Ts7: traffic,Ts8: traffic] :
% 2.84/1.53 ( ? [C3: cars,F3: real > real] : ( change_dyn @ Ts4 @ C3 @ F3 @ Ts7 )
% 2.84/1.53 => ( ( evolve @ Ts7 @ Ts8 )
% 2.84/1.53 => ( evolve @ Ts4 @ Ts8 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_113_old_Ounit_Oexhaust,axiom,
% 2.84/1.53 ! [Y2: product_unit] : ( Y2 = product_Unity ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_114_old_Ounit_Oinducts,axiom,
% 2.84/1.53 ! [P: product_unit > $o,Unit: product_unit] :
% 2.84/1.53 ( ( P @ product_Unity )
% 2.84/1.53 => ( P @ Unit ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_115_unit__all__impI,axiom,
% 2.84/1.53 ! [P: product_unit > $o,Q: product_unit > $o] :
% 2.84/1.53 ( ( ( P @ product_Unity )
% 2.84/1.53 => ( Q @ product_Unity ) )
% 2.84/1.53 => ! [X4: product_unit] :
% 2.84/1.53 ( ( P @ X4 )
% 2.84/1.53 => ( Q @ X4 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_116_eq__sym__Unity__conv,axiom,
% 2.84/1.53 ! [X2: $o] :
% 2.84/1.53 ( ( X2
% 2.84/1.53 = ( product_Unity = product_Unity ) )
% 2.84/1.53 = X2 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_117_bot__unit__def,axiom,
% 2.84/1.53 bot_bot_Product_unit = product_Unity ).
% 2.84/1.53
% 2.84/1.53 thf(fact_118_traffic_Ocreate__res__subseteq2,axiom,
% 2.84/1.53 ! [Ts4: traffic,C2: cars,Ts7: traffic] :
% 2.84/1.53 ( ( create_reservation @ Ts4 @ C2 @ Ts7 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( clm @ Ts4 @ C2 ) @ ( res @ Ts7 @ C2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_119_order__refl,axiom,
% 2.84/1.53 ! [X2: nat_int] : ( ord_less_eq_nat_int @ X2 @ X2 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_120_order__refl,axiom,
% 2.84/1.53 ! [X2: view_e774982825t_unit] : ( ord_le461438217t_unit @ X2 @ X2 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_121_order__refl,axiom,
% 2.84/1.53 ! [X2: real_int] : ( ord_less_eq_real_int @ X2 @ X2 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_122_order__refl,axiom,
% 2.84/1.53 ! [X2: nat] : ( ord_less_eq_nat @ X2 @ X2 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_123_order__subst1,axiom,
% 2.84/1.53 ! [A2: nat_int,F: nat_int > nat_int,B: nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_124_order__subst1,axiom,
% 2.84/1.53 ! [A2: nat_int,F: real_int > nat_int,B: real_int,C2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: real_int,Y3: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_125_order__subst1,axiom,
% 2.84/1.53 ! [A2: nat_int,F: nat > nat_int,B: nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_nat @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_126_order__subst1,axiom,
% 2.84/1.53 ! [A2: real_int,F: nat_int > real_int,B: nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_real_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_127_order__subst1,axiom,
% 2.84/1.53 ! [A2: real_int,F: real_int > real_int,B: real_int,C2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: real_int,Y3: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_real_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_128_order__subst1,axiom,
% 2.84/1.53 ! [A2: real_int,F: nat > real_int,B: nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_nat @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_real_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_129_order__subst1,axiom,
% 2.84/1.53 ! [A2: nat,F: nat_int > nat,B: nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_130_order__subst1,axiom,
% 2.84/1.53 ! [A2: nat,F: real_int > nat,B: real_int,C2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_nat @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: real_int,Y3: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_131_order__subst1,axiom,
% 2.84/1.53 ! [A2: nat,F: nat > nat,B: nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_nat @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_132_order__subst1,axiom,
% 2.84/1.53 ! [A2: nat_int,F: view_e774982825t_unit > nat_int,B: view_e774982825t_unit,C2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_le461438217t_unit @ B @ C2 )
% 2.84/1.53 => ( ! [X3: view_e774982825t_unit,Y3: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_le461438217t_unit @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_133_order__subst2,axiom,
% 2.84/1.53 ! [A2: nat_int,B: nat_int,F: nat_int > nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_134_order__subst2,axiom,
% 2.84/1.53 ! [A2: nat_int,B: nat_int,F: nat_int > real_int,C2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_135_order__subst2,axiom,
% 2.84/1.53 ! [A2: nat_int,B: nat_int,F: nat_int > nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_eq_nat @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_136_order__subst2,axiom,
% 2.84/1.53 ! [A2: real_int,B: real_int,F: real_int > nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: real_int,Y3: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_137_order__subst2,axiom,
% 2.84/1.53 ! [A2: real_int,B: real_int,F: real_int > real_int,C2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: real_int,Y3: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_138_order__subst2,axiom,
% 2.84/1.53 ! [A2: real_int,B: real_int,F: real_int > nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_eq_nat @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: real_int,Y3: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_139_order__subst2,axiom,
% 2.84/1.53 ! [A2: nat,B: nat,F: nat > nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_140_order__subst2,axiom,
% 2.84/1.53 ! [A2: nat,B: nat,F: nat > real_int,C2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_nat @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_141_order__subst2,axiom,
% 2.84/1.53 ! [A2: nat,B: nat,F: nat > nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_eq_nat @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_142_order__subst2,axiom,
% 2.84/1.53 ! [A2: nat_int,B: nat_int,F: nat_int > view_e774982825t_unit,C2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ B )
% 2.84/1.53 => ( ( ord_le461438217t_unit @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_le461438217t_unit @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_le461438217t_unit @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_143_ord__eq__le__subst,axiom,
% 2.84/1.53 ! [A2: nat_int,F: nat_int > nat_int,B: nat_int,C2: nat_int] :
% 2.84/1.53 ( ( A2
% 2.84/1.53 = ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_144_ord__eq__le__subst,axiom,
% 2.84/1.53 ! [A2: real_int,F: nat_int > real_int,B: nat_int,C2: nat_int] :
% 2.84/1.53 ( ( A2
% 2.84/1.53 = ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_real_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_145_ord__eq__le__subst,axiom,
% 2.84/1.53 ! [A2: nat,F: nat_int > nat,B: nat_int,C2: nat_int] :
% 2.84/1.53 ( ( A2
% 2.84/1.53 = ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_146_ord__eq__le__subst,axiom,
% 2.84/1.53 ! [A2: nat_int,F: real_int > nat_int,B: real_int,C2: real_int] :
% 2.84/1.53 ( ( A2
% 2.84/1.53 = ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: real_int,Y3: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_147_ord__eq__le__subst,axiom,
% 2.84/1.53 ! [A2: real_int,F: real_int > real_int,B: real_int,C2: real_int] :
% 2.84/1.53 ( ( A2
% 2.84/1.53 = ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: real_int,Y3: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_real_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_148_ord__eq__le__subst,axiom,
% 2.84/1.53 ! [A2: nat,F: real_int > nat,B: real_int,C2: real_int] :
% 2.84/1.53 ( ( A2
% 2.84/1.53 = ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: real_int,Y3: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_149_ord__eq__le__subst,axiom,
% 2.84/1.53 ! [A2: nat_int,F: nat > nat_int,B: nat,C2: nat] :
% 2.84/1.53 ( ( A2
% 2.84/1.53 = ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_nat @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_150_ord__eq__le__subst,axiom,
% 2.84/1.53 ! [A2: real_int,F: nat > real_int,B: nat,C2: nat] :
% 2.84/1.53 ( ( A2
% 2.84/1.53 = ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_nat @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_real_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_151_ord__eq__le__subst,axiom,
% 2.84/1.53 ! [A2: nat,F: nat > nat,B: nat,C2: nat] :
% 2.84/1.53 ( ( A2
% 2.84/1.53 = ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_nat @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_152_ord__eq__le__subst,axiom,
% 2.84/1.53 ! [A2: view_e774982825t_unit,F: nat_int > view_e774982825t_unit,B: nat_int,C2: nat_int] :
% 2.84/1.53 ( ( A2
% 2.84/1.53 = ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_le461438217t_unit @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_le461438217t_unit @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_153_ord__le__eq__subst,axiom,
% 2.84/1.53 ! [A2: nat_int,B: nat_int,F: nat_int > nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ B )
% 2.84/1.53 => ( ( ( F @ B )
% 2.84/1.53 = C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_154_ord__le__eq__subst,axiom,
% 2.84/1.53 ! [A2: nat_int,B: nat_int,F: nat_int > real_int,C2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ B )
% 2.84/1.53 => ( ( ( F @ B )
% 2.84/1.53 = C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_155_ord__le__eq__subst,axiom,
% 2.84/1.53 ! [A2: nat_int,B: nat_int,F: nat_int > nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ B )
% 2.84/1.53 => ( ( ( F @ B )
% 2.84/1.53 = C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_156_ord__le__eq__subst,axiom,
% 2.84/1.53 ! [A2: real_int,B: real_int,F: real_int > nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ A2 @ B )
% 2.84/1.53 => ( ( ( F @ B )
% 2.84/1.53 = C2 )
% 2.84/1.53 => ( ! [X3: real_int,Y3: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_157_ord__le__eq__subst,axiom,
% 2.84/1.53 ! [A2: real_int,B: real_int,F: real_int > real_int,C2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ A2 @ B )
% 2.84/1.53 => ( ( ( F @ B )
% 2.84/1.53 = C2 )
% 2.84/1.53 => ( ! [X3: real_int,Y3: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_158_ord__le__eq__subst,axiom,
% 2.84/1.53 ! [A2: real_int,B: real_int,F: real_int > nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ A2 @ B )
% 2.84/1.53 => ( ( ( F @ B )
% 2.84/1.53 = C2 )
% 2.84/1.53 => ( ! [X3: real_int,Y3: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_159_ord__le__eq__subst,axiom,
% 2.84/1.53 ! [A2: nat,B: nat,F: nat > nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat @ A2 @ B )
% 2.84/1.53 => ( ( ( F @ B )
% 2.84/1.53 = C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_160_ord__le__eq__subst,axiom,
% 2.84/1.53 ! [A2: nat,B: nat,F: nat > real_int,C2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_nat @ A2 @ B )
% 2.84/1.53 => ( ( ( F @ B )
% 2.84/1.53 = C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_161_ord__le__eq__subst,axiom,
% 2.84/1.53 ! [A2: nat,B: nat,F: nat > nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ A2 @ B )
% 2.84/1.53 => ( ( ( F @ B )
% 2.84/1.53 = C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_162_ord__le__eq__subst,axiom,
% 2.84/1.53 ! [A2: nat_int,B: nat_int,F: nat_int > view_e774982825t_unit,C2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ B )
% 2.84/1.53 => ( ( ( F @ B )
% 2.84/1.53 = C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_le461438217t_unit @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_le461438217t_unit @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_163_eq__iff,axiom,
% 2.84/1.53 ( ( ^ [Y4: nat_int,Z3: nat_int] : ( Y4 = Z3 ) )
% 2.84/1.53 = ( ^ [X: nat_int,Y: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X @ Y )
% 2.84/1.53 & ( ord_less_eq_nat_int @ Y @ X ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_164_eq__iff,axiom,
% 2.84/1.53 ( ( ^ [Y4: view_e774982825t_unit,Z3: view_e774982825t_unit] : ( Y4 = Z3 ) )
% 2.84/1.53 = ( ^ [X: view_e774982825t_unit,Y: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_le461438217t_unit @ X @ Y )
% 2.84/1.53 & ( ord_le461438217t_unit @ Y @ X ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_165_eq__iff,axiom,
% 2.84/1.53 ( ( ^ [Y4: real_int,Z3: real_int] : ( Y4 = Z3 ) )
% 2.84/1.53 = ( ^ [X: real_int,Y: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X @ Y )
% 2.84/1.53 & ( ord_less_eq_real_int @ Y @ X ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_166_eq__iff,axiom,
% 2.84/1.53 ( ( ^ [Y4: nat,Z3: nat] : ( Y4 = Z3 ) )
% 2.84/1.53 = ( ^ [X: nat,Y: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X @ Y )
% 2.84/1.53 & ( ord_less_eq_nat @ Y @ X ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_167_antisym,axiom,
% 2.84/1.53 ! [X2: nat_int,Y2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ Y2 @ X2 )
% 2.84/1.53 => ( X2 = Y2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_168_antisym,axiom,
% 2.84/1.53 ! [X2: view_e774982825t_unit,Y2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_le461438217t_unit @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_le461438217t_unit @ Y2 @ X2 )
% 2.84/1.53 => ( X2 = Y2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_169_antisym,axiom,
% 2.84/1.53 ! [X2: real_int,Y2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ Y2 @ X2 )
% 2.84/1.53 => ( X2 = Y2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_170_antisym,axiom,
% 2.84/1.53 ! [X2: nat,Y2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_less_eq_nat @ Y2 @ X2 )
% 2.84/1.53 => ( X2 = Y2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_171_linear,axiom,
% 2.84/1.53 ! [X2: nat,Y2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X2 @ Y2 )
% 2.84/1.53 | ( ord_less_eq_nat @ Y2 @ X2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_172_eq__refl,axiom,
% 2.84/1.53 ! [X2: nat_int,Y2: nat_int] :
% 2.84/1.53 ( ( X2 = Y2 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ X2 @ Y2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_173_eq__refl,axiom,
% 2.84/1.53 ! [X2: view_e774982825t_unit,Y2: view_e774982825t_unit] :
% 2.84/1.53 ( ( X2 = Y2 )
% 2.84/1.53 => ( ord_le461438217t_unit @ X2 @ Y2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_174_eq__refl,axiom,
% 2.84/1.53 ! [X2: real_int,Y2: real_int] :
% 2.84/1.53 ( ( X2 = Y2 )
% 2.84/1.53 => ( ord_less_eq_real_int @ X2 @ Y2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_175_eq__refl,axiom,
% 2.84/1.53 ! [X2: nat,Y2: nat] :
% 2.84/1.53 ( ( X2 = Y2 )
% 2.84/1.53 => ( ord_less_eq_nat @ X2 @ Y2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_176_le__cases,axiom,
% 2.84/1.53 ! [X2: nat,Y2: nat] :
% 2.84/1.53 ( ~ ( ord_less_eq_nat @ X2 @ Y2 )
% 2.84/1.53 => ( ord_less_eq_nat @ Y2 @ X2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_177_order_Otrans,axiom,
% 2.84/1.53 ! [A2: nat_int,B: nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ A2 @ C2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_178_order_Otrans,axiom,
% 2.84/1.53 ! [A2: view_e774982825t_unit,B: view_e774982825t_unit,C2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_le461438217t_unit @ A2 @ B )
% 2.84/1.53 => ( ( ord_le461438217t_unit @ B @ C2 )
% 2.84/1.53 => ( ord_le461438217t_unit @ A2 @ C2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_179_order_Otrans,axiom,
% 2.84/1.53 ! [A2: real_int,B: real_int,C2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ B @ C2 )
% 2.84/1.53 => ( ord_less_eq_real_int @ A2 @ C2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_180_order_Otrans,axiom,
% 2.84/1.53 ! [A2: nat,B: nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_eq_nat @ B @ C2 )
% 2.84/1.53 => ( ord_less_eq_nat @ A2 @ C2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_181_le__cases3,axiom,
% 2.84/1.53 ! [X2: nat,Y2: nat,Z: nat] :
% 2.84/1.53 ( ( ( ord_less_eq_nat @ X2 @ Y2 )
% 2.84/1.53 => ~ ( ord_less_eq_nat @ Y2 @ Z ) )
% 2.84/1.53 => ( ( ( ord_less_eq_nat @ Y2 @ X2 )
% 2.84/1.53 => ~ ( ord_less_eq_nat @ X2 @ Z ) )
% 2.84/1.53 => ( ( ( ord_less_eq_nat @ X2 @ Z )
% 2.84/1.53 => ~ ( ord_less_eq_nat @ Z @ Y2 ) )
% 2.84/1.53 => ( ( ( ord_less_eq_nat @ Z @ Y2 )
% 2.84/1.53 => ~ ( ord_less_eq_nat @ Y2 @ X2 ) )
% 2.84/1.53 => ( ( ( ord_less_eq_nat @ Y2 @ Z )
% 2.84/1.53 => ~ ( ord_less_eq_nat @ Z @ X2 ) )
% 2.84/1.53 => ~ ( ( ord_less_eq_nat @ Z @ X2 )
% 2.84/1.53 => ~ ( ord_less_eq_nat @ X2 @ Y2 ) ) ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_182_antisym__conv,axiom,
% 2.84/1.53 ! [Y2: nat_int,X2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ Y2 @ X2 )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ X2 @ Y2 )
% 2.84/1.53 = ( X2 = Y2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_183_antisym__conv,axiom,
% 2.84/1.53 ! [Y2: view_e774982825t_unit,X2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_le461438217t_unit @ Y2 @ X2 )
% 2.84/1.53 => ( ( ord_le461438217t_unit @ X2 @ Y2 )
% 2.84/1.53 = ( X2 = Y2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_184_antisym__conv,axiom,
% 2.84/1.53 ! [Y2: real_int,X2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ Y2 @ X2 )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ X2 @ Y2 )
% 2.84/1.53 = ( X2 = Y2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_185_antisym__conv,axiom,
% 2.84/1.53 ! [Y2: nat,X2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ Y2 @ X2 )
% 2.84/1.53 => ( ( ord_less_eq_nat @ X2 @ Y2 )
% 2.84/1.53 = ( X2 = Y2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_186_order__class_Oorder_Oeq__iff,axiom,
% 2.84/1.53 ( ( ^ [Y4: nat_int,Z3: nat_int] : ( Y4 = Z3 ) )
% 2.84/1.53 = ( ^ [A: nat_int,B2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A @ B2 )
% 2.84/1.53 & ( ord_less_eq_nat_int @ B2 @ A ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_187_order__class_Oorder_Oeq__iff,axiom,
% 2.84/1.53 ( ( ^ [Y4: view_e774982825t_unit,Z3: view_e774982825t_unit] : ( Y4 = Z3 ) )
% 2.84/1.53 = ( ^ [A: view_e774982825t_unit,B2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_le461438217t_unit @ A @ B2 )
% 2.84/1.53 & ( ord_le461438217t_unit @ B2 @ A ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_188_order__class_Oorder_Oeq__iff,axiom,
% 2.84/1.53 ( ( ^ [Y4: real_int,Z3: real_int] : ( Y4 = Z3 ) )
% 2.84/1.53 = ( ^ [A: real_int,B2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ A @ B2 )
% 2.84/1.53 & ( ord_less_eq_real_int @ B2 @ A ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_189_order__class_Oorder_Oeq__iff,axiom,
% 2.84/1.53 ( ( ^ [Y4: nat,Z3: nat] : ( Y4 = Z3 ) )
% 2.84/1.53 = ( ^ [A: nat,B2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ A @ B2 )
% 2.84/1.53 & ( ord_less_eq_nat @ B2 @ A ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_190_ord__eq__le__trans,axiom,
% 2.84/1.53 ! [A2: nat_int,B: nat_int,C2: nat_int] :
% 2.84/1.53 ( ( A2 = B )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ A2 @ C2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_191_ord__eq__le__trans,axiom,
% 2.84/1.53 ! [A2: view_e774982825t_unit,B: view_e774982825t_unit,C2: view_e774982825t_unit] :
% 2.84/1.53 ( ( A2 = B )
% 2.84/1.53 => ( ( ord_le461438217t_unit @ B @ C2 )
% 2.84/1.53 => ( ord_le461438217t_unit @ A2 @ C2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_192_ord__eq__le__trans,axiom,
% 2.84/1.53 ! [A2: real_int,B: real_int,C2: real_int] :
% 2.84/1.53 ( ( A2 = B )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ B @ C2 )
% 2.84/1.53 => ( ord_less_eq_real_int @ A2 @ C2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_193_ord__eq__le__trans,axiom,
% 2.84/1.53 ! [A2: nat,B: nat,C2: nat] :
% 2.84/1.53 ( ( A2 = B )
% 2.84/1.53 => ( ( ord_less_eq_nat @ B @ C2 )
% 2.84/1.53 => ( ord_less_eq_nat @ A2 @ C2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_194_ord__le__eq__trans,axiom,
% 2.84/1.53 ! [A2: nat_int,B: nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ B )
% 2.84/1.53 => ( ( B = C2 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ A2 @ C2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_195_ord__le__eq__trans,axiom,
% 2.84/1.53 ! [A2: view_e774982825t_unit,B: view_e774982825t_unit,C2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_le461438217t_unit @ A2 @ B )
% 2.84/1.53 => ( ( B = C2 )
% 2.84/1.53 => ( ord_le461438217t_unit @ A2 @ C2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_196_ord__le__eq__trans,axiom,
% 2.84/1.53 ! [A2: real_int,B: real_int,C2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ A2 @ B )
% 2.84/1.53 => ( ( B = C2 )
% 2.84/1.53 => ( ord_less_eq_real_int @ A2 @ C2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_197_ord__le__eq__trans,axiom,
% 2.84/1.53 ! [A2: nat,B: nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ A2 @ B )
% 2.84/1.53 => ( ( B = C2 )
% 2.84/1.53 => ( ord_less_eq_nat @ A2 @ C2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_198_order__class_Oorder_Oantisym,axiom,
% 2.84/1.53 ! [A2: nat_int,B: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ B @ A2 )
% 2.84/1.53 => ( A2 = B ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_199_order__class_Oorder_Oantisym,axiom,
% 2.84/1.53 ! [A2: view_e774982825t_unit,B: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_le461438217t_unit @ A2 @ B )
% 2.84/1.53 => ( ( ord_le461438217t_unit @ B @ A2 )
% 2.84/1.53 => ( A2 = B ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_200_order__class_Oorder_Oantisym,axiom,
% 2.84/1.53 ! [A2: real_int,B: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ B @ A2 )
% 2.84/1.53 => ( A2 = B ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_201_order__class_Oorder_Oantisym,axiom,
% 2.84/1.53 ! [A2: nat,B: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_eq_nat @ B @ A2 )
% 2.84/1.53 => ( A2 = B ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_202_order__trans,axiom,
% 2.84/1.53 ! [X2: nat_int,Y2: nat_int,Z: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ Y2 @ Z )
% 2.84/1.53 => ( ord_less_eq_nat_int @ X2 @ Z ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_203_order__trans,axiom,
% 2.84/1.53 ! [X2: view_e774982825t_unit,Y2: view_e774982825t_unit,Z: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_le461438217t_unit @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_le461438217t_unit @ Y2 @ Z )
% 2.84/1.53 => ( ord_le461438217t_unit @ X2 @ Z ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_204_order__trans,axiom,
% 2.84/1.53 ! [X2: real_int,Y2: real_int,Z: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ Y2 @ Z )
% 2.84/1.53 => ( ord_less_eq_real_int @ X2 @ Z ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_205_order__trans,axiom,
% 2.84/1.53 ! [X2: nat,Y2: nat,Z: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_less_eq_nat @ Y2 @ Z )
% 2.84/1.53 => ( ord_less_eq_nat @ X2 @ Z ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_206_dual__order_Orefl,axiom,
% 2.84/1.53 ! [A2: nat_int] : ( ord_less_eq_nat_int @ A2 @ A2 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_207_dual__order_Orefl,axiom,
% 2.84/1.53 ! [A2: view_e774982825t_unit] : ( ord_le461438217t_unit @ A2 @ A2 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_208_dual__order_Orefl,axiom,
% 2.84/1.53 ! [A2: real_int] : ( ord_less_eq_real_int @ A2 @ A2 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_209_dual__order_Orefl,axiom,
% 2.84/1.53 ! [A2: nat] : ( ord_less_eq_nat @ A2 @ A2 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_210_linorder__wlog,axiom,
% 2.84/1.53 ! [P: nat > nat > $o,A2: nat,B: nat] :
% 2.84/1.53 ( ! [A3: nat,B3: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ A3 @ B3 )
% 2.84/1.53 => ( P @ A3 @ B3 ) )
% 2.84/1.53 => ( ! [A3: nat,B3: nat] :
% 2.84/1.53 ( ( P @ B3 @ A3 )
% 2.84/1.53 => ( P @ A3 @ B3 ) )
% 2.84/1.53 => ( P @ A2 @ B ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_211_dual__order_Otrans,axiom,
% 2.84/1.53 ! [B: nat_int,A2: nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ B @ A2 )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ C2 @ B )
% 2.84/1.53 => ( ord_less_eq_nat_int @ C2 @ A2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_212_dual__order_Otrans,axiom,
% 2.84/1.53 ! [B: view_e774982825t_unit,A2: view_e774982825t_unit,C2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_le461438217t_unit @ B @ A2 )
% 2.84/1.53 => ( ( ord_le461438217t_unit @ C2 @ B )
% 2.84/1.53 => ( ord_le461438217t_unit @ C2 @ A2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_213_dual__order_Otrans,axiom,
% 2.84/1.53 ! [B: real_int,A2: real_int,C2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ B @ A2 )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ C2 @ B )
% 2.84/1.53 => ( ord_less_eq_real_int @ C2 @ A2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_214_dual__order_Otrans,axiom,
% 2.84/1.53 ! [B: nat,A2: nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ B @ A2 )
% 2.84/1.53 => ( ( ord_less_eq_nat @ C2 @ B )
% 2.84/1.53 => ( ord_less_eq_nat @ C2 @ A2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_215_dual__order_Oeq__iff,axiom,
% 2.84/1.53 ( ( ^ [Y4: nat_int,Z3: nat_int] : ( Y4 = Z3 ) )
% 2.84/1.53 = ( ^ [A: nat_int,B2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ B2 @ A )
% 2.84/1.53 & ( ord_less_eq_nat_int @ A @ B2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_216_dual__order_Oeq__iff,axiom,
% 2.84/1.53 ( ( ^ [Y4: view_e774982825t_unit,Z3: view_e774982825t_unit] : ( Y4 = Z3 ) )
% 2.84/1.53 = ( ^ [A: view_e774982825t_unit,B2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_le461438217t_unit @ B2 @ A )
% 2.84/1.53 & ( ord_le461438217t_unit @ A @ B2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_217_dual__order_Oeq__iff,axiom,
% 2.84/1.53 ( ( ^ [Y4: real_int,Z3: real_int] : ( Y4 = Z3 ) )
% 2.84/1.53 = ( ^ [A: real_int,B2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ B2 @ A )
% 2.84/1.53 & ( ord_less_eq_real_int @ A @ B2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_218_dual__order_Oeq__iff,axiom,
% 2.84/1.53 ( ( ^ [Y4: nat,Z3: nat] : ( Y4 = Z3 ) )
% 2.84/1.53 = ( ^ [A: nat,B2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ B2 @ A )
% 2.84/1.53 & ( ord_less_eq_nat @ A @ B2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_219_dual__order_Oantisym,axiom,
% 2.84/1.53 ! [B: nat_int,A2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ B @ A2 )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ A2 @ B )
% 2.84/1.53 => ( A2 = B ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_220_dual__order_Oantisym,axiom,
% 2.84/1.53 ! [B: view_e774982825t_unit,A2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_le461438217t_unit @ B @ A2 )
% 2.84/1.53 => ( ( ord_le461438217t_unit @ A2 @ B )
% 2.84/1.53 => ( A2 = B ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_221_dual__order_Oantisym,axiom,
% 2.84/1.53 ! [B: real_int,A2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ B @ A2 )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ A2 @ B )
% 2.84/1.53 => ( A2 = B ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_222_dual__order_Oantisym,axiom,
% 2.84/1.53 ! [B: nat,A2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ B @ A2 )
% 2.84/1.53 => ( ( ord_less_eq_nat @ A2 @ B )
% 2.84/1.53 => ( A2 = B ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_223_less__eq__view__ext__def,axiom,
% 2.84/1.53 ( ord_le1902160870at_int
% 2.84/1.53 = ( ^ [V9: view_ext_nat_int,V10: view_ext_nat_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ ( ext_nat_int @ V9 ) @ ( ext_nat_int @ V10 ) )
% 2.84/1.53 & ( ord_less_eq_nat_int @ ( lan_nat_int @ V9 ) @ ( lan_nat_int @ V10 ) )
% 2.84/1.53 & ( ( own_nat_int @ V9 )
% 2.84/1.53 = ( own_nat_int @ V10 ) )
% 2.84/1.53 & ( ord_less_eq_nat_int @ ( more_nat_int @ V9 ) @ ( more_nat_int @ V10 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_224_less__eq__view__ext__def,axiom,
% 2.84/1.53 ( ord_le63244867t_unit
% 2.84/1.53 = ( ^ [V9: view_e665166499t_unit,V10: view_e665166499t_unit] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ ( ext_vi2102772532t_unit @ V9 ) @ ( ext_vi2102772532t_unit @ V10 ) )
% 2.84/1.53 & ( ord_less_eq_nat_int @ ( lan_vi1543476748t_unit @ V9 ) @ ( lan_vi1543476748t_unit @ V10 ) )
% 2.84/1.53 & ( ( own_vi676290681t_unit @ V9 )
% 2.84/1.53 = ( own_vi676290681t_unit @ V10 ) )
% 2.84/1.53 & ( ord_le461438217t_unit @ ( more_v92543030t_unit @ V9 ) @ ( more_v92543030t_unit @ V10 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_225_less__eq__view__ext__def,axiom,
% 2.84/1.53 ( ord_le1863101098al_int
% 2.84/1.53 = ( ^ [V9: view_ext_real_int,V10: view_ext_real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ ( ext_real_int @ V9 ) @ ( ext_real_int @ V10 ) )
% 2.84/1.53 & ( ord_less_eq_nat_int @ ( lan_real_int @ V9 ) @ ( lan_real_int @ V10 ) )
% 2.84/1.53 & ( ( own_real_int @ V9 )
% 2.84/1.53 = ( own_real_int @ V10 ) )
% 2.84/1.53 & ( ord_less_eq_real_int @ ( more_real_int @ V9 ) @ ( more_real_int @ V10 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_226_less__eq__view__ext__def,axiom,
% 2.84/1.53 ( ord_le1036425834xt_nat
% 2.84/1.53 = ( ^ [V9: view_ext_nat,V10: view_ext_nat] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ ( ext_nat @ V9 ) @ ( ext_nat @ V10 ) )
% 2.84/1.53 & ( ord_less_eq_nat_int @ ( lan_nat @ V9 ) @ ( lan_nat @ V10 ) )
% 2.84/1.53 & ( ( own_nat @ V9 )
% 2.84/1.53 = ( own_nat @ V10 ) )
% 2.84/1.53 & ( ord_less_eq_nat @ ( more_nat @ V9 ) @ ( more_nat @ V10 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_227_less__eq__view__ext__def,axiom,
% 2.84/1.53 ( ord_le461438217t_unit
% 2.84/1.53 = ( ^ [V9: view_e774982825t_unit,V10: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ ( ext_Product_unit @ V9 ) @ ( ext_Product_unit @ V10 ) )
% 2.84/1.53 & ( ord_less_eq_nat_int @ ( lan_Product_unit @ V9 ) @ ( lan_Product_unit @ V10 ) )
% 2.84/1.53 & ( ( own_Product_unit @ V9 )
% 2.84/1.53 = ( own_Product_unit @ V10 ) )
% 2.84/1.53 & ( ord_le1997193645t_unit @ ( more_Product_unit @ V9 ) @ ( more_Product_unit @ V10 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_228_bot_Oextremum,axiom,
% 2.84/1.53 ! [A2: product_unit] : ( ord_le1997193645t_unit @ bot_bot_Product_unit @ A2 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_229_bot_Oextremum,axiom,
% 2.84/1.53 ! [A2: nat_int] : ( ord_less_eq_nat_int @ bot_bot_nat_int @ A2 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_230_bot_Oextremum,axiom,
% 2.84/1.53 ! [A2: nat] : ( ord_less_eq_nat @ bot_bot_nat @ A2 ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_231_bot_Oextremum__unique,axiom,
% 2.84/1.53 ! [A2: product_unit] :
% 2.84/1.53 ( ( ord_le1997193645t_unit @ A2 @ bot_bot_Product_unit )
% 2.84/1.53 = ( A2 = bot_bot_Product_unit ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_232_bot_Oextremum__unique,axiom,
% 2.84/1.53 ! [A2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ bot_bot_nat_int )
% 2.84/1.53 = ( A2 = bot_bot_nat_int ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_233_bot_Oextremum__unique,axiom,
% 2.84/1.53 ! [A2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ A2 @ bot_bot_nat )
% 2.84/1.53 = ( A2 = bot_bot_nat ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_234_bot_Oextremum__uniqueI,axiom,
% 2.84/1.53 ! [A2: product_unit] :
% 2.84/1.53 ( ( ord_le1997193645t_unit @ A2 @ bot_bot_Product_unit )
% 2.84/1.53 => ( A2 = bot_bot_Product_unit ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_235_bot_Oextremum__uniqueI,axiom,
% 2.84/1.53 ! [A2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ bot_bot_nat_int )
% 2.84/1.53 => ( A2 = bot_bot_nat_int ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_236_bot_Oextremum__uniqueI,axiom,
% 2.84/1.53 ! [A2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ A2 @ bot_bot_nat )
% 2.84/1.53 => ( A2 = bot_bot_nat ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_237_traffic_Ocreate__res__subseteq1,axiom,
% 2.84/1.53 ! [Ts4: traffic,C2: cars,Ts7: traffic] :
% 2.84/1.53 ( ( create_reservation @ Ts4 @ C2 @ Ts7 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( res @ Ts4 @ C2 ) @ ( res @ Ts7 @ C2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_238_traffic_Owithdraw__res__subseteq,axiom,
% 2.84/1.53 ! [Ts4: traffic,D: cars,N: nat,Ts7: traffic,C2: cars] :
% 2.84/1.53 ( ( withdraw_reservation @ Ts4 @ D @ N @ Ts7 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( res @ Ts7 @ C2 ) @ ( res @ Ts4 @ C2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_239_default__unit__def,axiom,
% 2.84/1.53 defaul1399868459t_unit = product_Unity ).
% 2.84/1.53
% 2.84/1.53 thf(fact_240_less__view__ext__def,axiom,
% 2.84/1.53 ( ord_le1993783549t_unit
% 2.84/1.53 = ( ^ [V9: view_e774982825t_unit,V10: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ ( ext_Product_unit @ V9 ) @ ( ext_Product_unit @ V10 ) )
% 2.84/1.53 & ( ord_less_eq_nat_int @ ( lan_Product_unit @ V9 ) @ ( lan_Product_unit @ V10 ) )
% 2.84/1.53 & ( ( own_Product_unit @ V10 )
% 2.84/1.53 = ( own_Product_unit @ V9 ) )
% 2.84/1.53 & ( ord_le1997193645t_unit @ ( more_Product_unit @ V9 ) @ ( more_Product_unit @ V10 ) )
% 2.84/1.53 & ~ ( ( ord_less_eq_real_int @ ( ext_Product_unit @ V10 ) @ ( ext_Product_unit @ V9 ) )
% 2.84/1.53 & ( ord_less_eq_nat_int @ ( lan_Product_unit @ V10 ) @ ( lan_Product_unit @ V9 ) )
% 2.84/1.53 & ( ( own_Product_unit @ V10 )
% 2.84/1.53 = ( own_Product_unit @ V9 ) )
% 2.84/1.53 & ( ord_le1997193645t_unit @ ( more_Product_unit @ V10 ) @ ( more_Product_unit @ V9 ) ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_241_less__view__ext__def,axiom,
% 2.84/1.53 ( ord_le893810930at_int
% 2.84/1.53 = ( ^ [V9: view_ext_nat_int,V10: view_ext_nat_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ ( ext_nat_int @ V9 ) @ ( ext_nat_int @ V10 ) )
% 2.84/1.53 & ( ord_less_eq_nat_int @ ( lan_nat_int @ V9 ) @ ( lan_nat_int @ V10 ) )
% 2.84/1.53 & ( ( own_nat_int @ V10 )
% 2.84/1.53 = ( own_nat_int @ V9 ) )
% 2.84/1.53 & ( ord_less_eq_nat_int @ ( more_nat_int @ V9 ) @ ( more_nat_int @ V10 ) )
% 2.84/1.53 & ~ ( ( ord_less_eq_real_int @ ( ext_nat_int @ V10 ) @ ( ext_nat_int @ V9 ) )
% 2.84/1.53 & ( ord_less_eq_nat_int @ ( lan_nat_int @ V10 ) @ ( lan_nat_int @ V9 ) )
% 2.84/1.53 & ( ( own_nat_int @ V10 )
% 2.84/1.53 = ( own_nat_int @ V9 ) )
% 2.84/1.53 & ( ord_less_eq_nat_int @ ( more_nat_int @ V10 ) @ ( more_nat_int @ V9 ) ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_242_less__view__ext__def,axiom,
% 2.84/1.53 ( ord_le750644047t_unit
% 2.84/1.53 = ( ^ [V9: view_e665166499t_unit,V10: view_e665166499t_unit] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ ( ext_vi2102772532t_unit @ V9 ) @ ( ext_vi2102772532t_unit @ V10 ) )
% 2.84/1.53 & ( ord_less_eq_nat_int @ ( lan_vi1543476748t_unit @ V9 ) @ ( lan_vi1543476748t_unit @ V10 ) )
% 2.84/1.53 & ( ( own_vi676290681t_unit @ V10 )
% 2.84/1.53 = ( own_vi676290681t_unit @ V9 ) )
% 2.84/1.53 & ( ord_le461438217t_unit @ ( more_v92543030t_unit @ V9 ) @ ( more_v92543030t_unit @ V10 ) )
% 2.84/1.53 & ~ ( ( ord_less_eq_real_int @ ( ext_vi2102772532t_unit @ V10 ) @ ( ext_vi2102772532t_unit @ V9 ) )
% 2.84/1.53 & ( ord_less_eq_nat_int @ ( lan_vi1543476748t_unit @ V10 ) @ ( lan_vi1543476748t_unit @ V9 ) )
% 2.84/1.53 & ( ( own_vi676290681t_unit @ V10 )
% 2.84/1.53 = ( own_vi676290681t_unit @ V9 ) )
% 2.84/1.53 & ( ord_le461438217t_unit @ ( more_v92543030t_unit @ V10 ) @ ( more_v92543030t_unit @ V9 ) ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_243_less__view__ext__def,axiom,
% 2.84/1.53 ( ord_le147108278al_int
% 2.84/1.53 = ( ^ [V9: view_ext_real_int,V10: view_ext_real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ ( ext_real_int @ V9 ) @ ( ext_real_int @ V10 ) )
% 2.84/1.53 & ( ord_less_eq_nat_int @ ( lan_real_int @ V9 ) @ ( lan_real_int @ V10 ) )
% 2.84/1.53 & ( ( own_real_int @ V10 )
% 2.84/1.53 = ( own_real_int @ V9 ) )
% 2.84/1.53 & ( ord_less_eq_real_int @ ( more_real_int @ V9 ) @ ( more_real_int @ V10 ) )
% 2.84/1.53 & ~ ( ( ord_less_eq_real_int @ ( ext_real_int @ V10 ) @ ( ext_real_int @ V9 ) )
% 2.84/1.53 & ( ord_less_eq_nat_int @ ( lan_real_int @ V10 ) @ ( lan_real_int @ V9 ) )
% 2.84/1.53 & ( ( own_real_int @ V10 )
% 2.84/1.53 = ( own_real_int @ V9 ) )
% 2.84/1.53 & ( ord_less_eq_real_int @ ( more_real_int @ V10 ) @ ( more_real_int @ V9 ) ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_244_less__view__ext__def,axiom,
% 2.84/1.53 ( ord_le1522419062xt_nat
% 2.84/1.53 = ( ^ [V9: view_ext_nat,V10: view_ext_nat] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ ( ext_nat @ V9 ) @ ( ext_nat @ V10 ) )
% 2.84/1.53 & ( ord_less_eq_nat_int @ ( lan_nat @ V9 ) @ ( lan_nat @ V10 ) )
% 2.84/1.53 & ( ( own_nat @ V10 )
% 2.84/1.53 = ( own_nat @ V9 ) )
% 2.84/1.53 & ( ord_less_eq_nat @ ( more_nat @ V9 ) @ ( more_nat @ V10 ) )
% 2.84/1.53 & ~ ( ( ord_less_eq_real_int @ ( ext_nat @ V10 ) @ ( ext_nat @ V9 ) )
% 2.84/1.53 & ( ord_less_eq_nat_int @ ( lan_nat @ V10 ) @ ( lan_nat @ V9 ) )
% 2.84/1.53 & ( ( own_nat @ V10 )
% 2.84/1.53 = ( own_nat @ V9 ) )
% 2.84/1.53 & ( ord_less_eq_nat @ ( more_nat @ V10 ) @ ( more_nat @ V9 ) ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_245_diff__mono,axiom,
% 2.84/1.53 ! [A2: real,B: real,D: real,C2: real] :
% 2.84/1.53 ( ( ord_less_eq_real @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_eq_real @ D @ C2 )
% 2.84/1.53 => ( ord_less_eq_real @ ( minus_minus_real @ A2 @ C2 ) @ ( minus_minus_real @ B @ D ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_246_leD,axiom,
% 2.84/1.53 ! [Y2: nat_int,X2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ Y2 @ X2 )
% 2.84/1.53 => ~ ( ord_less_nat_int @ X2 @ Y2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_247_leD,axiom,
% 2.84/1.53 ! [Y2: view_e774982825t_unit,X2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_le461438217t_unit @ Y2 @ X2 )
% 2.84/1.53 => ~ ( ord_le1993783549t_unit @ X2 @ Y2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_248_leD,axiom,
% 2.84/1.53 ! [Y2: real_int,X2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ Y2 @ X2 )
% 2.84/1.53 => ~ ( ord_less_real_int @ X2 @ Y2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_249_leD,axiom,
% 2.84/1.53 ! [Y2: nat,X2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ Y2 @ X2 )
% 2.84/1.53 => ~ ( ord_less_nat @ X2 @ Y2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_250_leI,axiom,
% 2.84/1.53 ! [X2: nat,Y2: nat] :
% 2.84/1.53 ( ~ ( ord_less_nat @ X2 @ Y2 )
% 2.84/1.53 => ( ord_less_eq_nat @ Y2 @ X2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_251_le__less,axiom,
% 2.84/1.53 ( ord_less_eq_nat_int
% 2.84/1.53 = ( ^ [X: nat_int,Y: nat_int] :
% 2.84/1.53 ( ( ord_less_nat_int @ X @ Y )
% 2.84/1.53 | ( X = Y ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_252_le__less,axiom,
% 2.84/1.53 ( ord_le461438217t_unit
% 2.84/1.53 = ( ^ [X: view_e774982825t_unit,Y: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_le1993783549t_unit @ X @ Y )
% 2.84/1.53 | ( X = Y ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_253_le__less,axiom,
% 2.84/1.53 ( ord_less_eq_real_int
% 2.84/1.53 = ( ^ [X: real_int,Y: real_int] :
% 2.84/1.53 ( ( ord_less_real_int @ X @ Y )
% 2.84/1.53 | ( X = Y ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_254_le__less,axiom,
% 2.84/1.53 ( ord_less_eq_nat
% 2.84/1.53 = ( ^ [X: nat,Y: nat] :
% 2.84/1.53 ( ( ord_less_nat @ X @ Y )
% 2.84/1.53 | ( X = Y ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_255_less__le,axiom,
% 2.84/1.53 ( ord_less_nat_int
% 2.84/1.53 = ( ^ [X: nat_int,Y: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X @ Y )
% 2.84/1.53 & ( X != Y ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_256_less__le,axiom,
% 2.84/1.53 ( ord_le1993783549t_unit
% 2.84/1.53 = ( ^ [X: view_e774982825t_unit,Y: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_le461438217t_unit @ X @ Y )
% 2.84/1.53 & ( X != Y ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_257_less__le,axiom,
% 2.84/1.53 ( ord_less_real_int
% 2.84/1.53 = ( ^ [X: real_int,Y: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X @ Y )
% 2.84/1.53 & ( X != Y ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_258_less__le,axiom,
% 2.84/1.53 ( ord_less_nat
% 2.84/1.53 = ( ^ [X: nat,Y: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X @ Y )
% 2.84/1.53 & ( X != Y ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_259_order__le__less__subst1,axiom,
% 2.84/1.53 ! [A2: nat_int,F: nat_int > nat_int,B: nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_nat_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_260_order__le__less__subst1,axiom,
% 2.84/1.53 ! [A2: nat_int,F: nat > nat_int,B: nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_nat @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_261_order__le__less__subst1,axiom,
% 2.84/1.53 ! [A2: view_e774982825t_unit,F: nat_int > view_e774982825t_unit,B: nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_le461438217t_unit @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_nat_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_le1993783549t_unit @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_le1993783549t_unit @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_262_order__le__less__subst1,axiom,
% 2.84/1.53 ! [A2: view_e774982825t_unit,F: nat > view_e774982825t_unit,B: nat,C2: nat] :
% 2.84/1.53 ( ( ord_le461438217t_unit @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_nat @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_le1993783549t_unit @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_le1993783549t_unit @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_263_order__le__less__subst1,axiom,
% 2.84/1.53 ! [A2: real_int,F: nat_int > real_int,B: nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_nat_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_real_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_264_order__le__less__subst1,axiom,
% 2.84/1.53 ! [A2: real_int,F: nat > real_int,B: nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_nat @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_real_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_265_order__le__less__subst1,axiom,
% 2.84/1.53 ! [A2: nat,F: nat_int > nat,B: nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_nat_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_nat @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_266_order__le__less__subst1,axiom,
% 2.84/1.53 ! [A2: nat,F: nat > nat,B: nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_nat @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_nat @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_267_order__le__less__subst2,axiom,
% 2.84/1.53 ! [A2: nat_int,B: nat_int,F: nat_int > nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_nat_int @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_nat_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_268_order__le__less__subst2,axiom,
% 2.84/1.53 ! [A2: nat_int,B: nat_int,F: nat_int > real_int,C2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_real_int @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_real_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_269_order__le__less__subst2,axiom,
% 2.84/1.53 ! [A2: nat_int,B: nat_int,F: nat_int > nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_nat @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_nat @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_270_order__le__less__subst2,axiom,
% 2.84/1.53 ! [A2: real_int,B: real_int,F: real_int > nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_nat_int @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: real_int,Y3: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_nat_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_271_order__le__less__subst2,axiom,
% 2.84/1.53 ! [A2: real_int,B: real_int,F: real_int > real_int,C2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_real_int @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: real_int,Y3: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_real_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_272_order__le__less__subst2,axiom,
% 2.84/1.53 ! [A2: real_int,B: real_int,F: real_int > nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_nat @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: real_int,Y3: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_nat @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_273_order__le__less__subst2,axiom,
% 2.84/1.53 ! [A2: nat,B: nat,F: nat > nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_nat_int @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_nat_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_274_order__le__less__subst2,axiom,
% 2.84/1.53 ! [A2: nat,B: nat,F: nat > real_int,C2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_nat @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_real_int @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_real_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_275_order__le__less__subst2,axiom,
% 2.84/1.53 ! [A2: nat,B: nat,F: nat > nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_nat @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_nat @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_276_order__le__less__subst2,axiom,
% 2.84/1.53 ! [A2: nat_int,B: nat_int,F: nat_int > view_e774982825t_unit,C2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ B )
% 2.84/1.53 => ( ( ord_le1993783549t_unit @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_le461438217t_unit @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_le1993783549t_unit @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_277_order__less__le__subst1,axiom,
% 2.84/1.53 ! [A2: nat_int,F: nat_int > nat_int,B: nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_less_nat_int @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_278_order__less__le__subst1,axiom,
% 2.84/1.53 ! [A2: real_int,F: nat_int > real_int,B: nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_less_real_int @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_real_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_279_order__less__le__subst1,axiom,
% 2.84/1.53 ! [A2: nat,F: nat_int > nat,B: nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_less_nat @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_nat @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_280_order__less__le__subst1,axiom,
% 2.84/1.53 ! [A2: nat_int,F: real_int > nat_int,B: real_int,C2: real_int] :
% 2.84/1.53 ( ( ord_less_nat_int @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: real_int,Y3: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_281_order__less__le__subst1,axiom,
% 2.84/1.53 ! [A2: real_int,F: real_int > real_int,B: real_int,C2: real_int] :
% 2.84/1.53 ( ( ord_less_real_int @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: real_int,Y3: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_real_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_282_order__less__le__subst1,axiom,
% 2.84/1.53 ! [A2: nat,F: real_int > nat,B: real_int,C2: real_int] :
% 2.84/1.53 ( ( ord_less_nat @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: real_int,Y3: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_nat @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_283_order__less__le__subst1,axiom,
% 2.84/1.53 ! [A2: nat_int,F: nat > nat_int,B: nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_nat_int @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_nat @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_nat_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_284_order__less__le__subst1,axiom,
% 2.84/1.53 ! [A2: real_int,F: nat > real_int,B: nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_real_int @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_nat @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_real_int @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_285_order__less__le__subst1,axiom,
% 2.84/1.53 ! [A2: nat,F: nat > nat,B: nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_nat @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_nat @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_nat @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_286_order__less__le__subst1,axiom,
% 2.84/1.53 ! [A2: view_e774982825t_unit,F: nat_int > view_e774982825t_unit,B: nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_le1993783549t_unit @ A2 @ ( F @ B ) )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ B @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_le461438217t_unit @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_le1993783549t_unit @ A2 @ ( F @ C2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_287_order__less__le__subst2,axiom,
% 2.84/1.53 ! [A2: nat_int,B: nat_int,F: nat_int > nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_less_nat_int @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_nat_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_288_order__less__le__subst2,axiom,
% 2.84/1.53 ! [A2: nat,B: nat,F: nat > nat_int,C2: nat_int] :
% 2.84/1.53 ( ( ord_less_nat @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_nat_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_nat_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_289_order__less__le__subst2,axiom,
% 2.84/1.53 ! [A2: nat_int,B: nat_int,F: nat_int > view_e774982825t_unit,C2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_less_nat_int @ A2 @ B )
% 2.84/1.53 => ( ( ord_le461438217t_unit @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_le1993783549t_unit @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_le1993783549t_unit @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_290_order__less__le__subst2,axiom,
% 2.84/1.53 ! [A2: nat,B: nat,F: nat > view_e774982825t_unit,C2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_less_nat @ A2 @ B )
% 2.84/1.53 => ( ( ord_le461438217t_unit @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_le1993783549t_unit @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_le1993783549t_unit @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_291_order__less__le__subst2,axiom,
% 2.84/1.53 ! [A2: nat_int,B: nat_int,F: nat_int > real_int,C2: real_int] :
% 2.84/1.53 ( ( ord_less_nat_int @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_real_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_292_order__less__le__subst2,axiom,
% 2.84/1.53 ! [A2: nat,B: nat,F: nat > real_int,C2: real_int] :
% 2.84/1.53 ( ( ord_less_nat @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_real_int @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_real_int @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_293_order__less__le__subst2,axiom,
% 2.84/1.53 ! [A2: nat_int,B: nat_int,F: nat_int > nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_nat_int @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_eq_nat @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: nat_int,Y3: nat_int] :
% 2.84/1.53 ( ( ord_less_nat_int @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_nat @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_294_order__less__le__subst2,axiom,
% 2.84/1.53 ! [A2: nat,B: nat,F: nat > nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_nat @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_eq_nat @ ( F @ B ) @ C2 )
% 2.84/1.53 => ( ! [X3: nat,Y3: nat] :
% 2.84/1.53 ( ( ord_less_nat @ X3 @ Y3 )
% 2.84/1.53 => ( ord_less_nat @ ( F @ X3 ) @ ( F @ Y3 ) ) )
% 2.84/1.53 => ( ord_less_nat @ ( F @ A2 ) @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_295_not__le,axiom,
% 2.84/1.53 ! [X2: nat,Y2: nat] :
% 2.84/1.53 ( ( ~ ( ord_less_eq_nat @ X2 @ Y2 ) )
% 2.84/1.53 = ( ord_less_nat @ Y2 @ X2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_296_not__less,axiom,
% 2.84/1.53 ! [X2: nat,Y2: nat] :
% 2.84/1.53 ( ( ~ ( ord_less_nat @ X2 @ Y2 ) )
% 2.84/1.53 = ( ord_less_eq_nat @ Y2 @ X2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_297_le__neq__trans,axiom,
% 2.84/1.53 ! [A2: nat_int,B: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ A2 @ B )
% 2.84/1.53 => ( ( A2 != B )
% 2.84/1.53 => ( ord_less_nat_int @ A2 @ B ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_298_le__neq__trans,axiom,
% 2.84/1.53 ! [A2: view_e774982825t_unit,B: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_le461438217t_unit @ A2 @ B )
% 2.84/1.53 => ( ( A2 != B )
% 2.84/1.53 => ( ord_le1993783549t_unit @ A2 @ B ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_299_le__neq__trans,axiom,
% 2.84/1.53 ! [A2: real_int,B: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ A2 @ B )
% 2.84/1.53 => ( ( A2 != B )
% 2.84/1.53 => ( ord_less_real_int @ A2 @ B ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_300_le__neq__trans,axiom,
% 2.84/1.53 ! [A2: nat,B: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ A2 @ B )
% 2.84/1.53 => ( ( A2 != B )
% 2.84/1.53 => ( ord_less_nat @ A2 @ B ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_301_antisym__conv1,axiom,
% 2.84/1.53 ! [X2: nat_int,Y2: nat_int] :
% 2.84/1.53 ( ~ ( ord_less_nat_int @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ X2 @ Y2 )
% 2.84/1.53 = ( X2 = Y2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_302_antisym__conv1,axiom,
% 2.84/1.53 ! [X2: view_e774982825t_unit,Y2: view_e774982825t_unit] :
% 2.84/1.53 ( ~ ( ord_le1993783549t_unit @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_le461438217t_unit @ X2 @ Y2 )
% 2.84/1.53 = ( X2 = Y2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_303_antisym__conv1,axiom,
% 2.84/1.53 ! [X2: real_int,Y2: real_int] :
% 2.84/1.53 ( ~ ( ord_less_real_int @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ X2 @ Y2 )
% 2.84/1.53 = ( X2 = Y2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_304_antisym__conv1,axiom,
% 2.84/1.53 ! [X2: nat,Y2: nat] :
% 2.84/1.53 ( ~ ( ord_less_nat @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_less_eq_nat @ X2 @ Y2 )
% 2.84/1.53 = ( X2 = Y2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_305_antisym__conv2,axiom,
% 2.84/1.53 ! [X2: nat_int,Y2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X2 @ Y2 )
% 2.84/1.53 => ( ( ~ ( ord_less_nat_int @ X2 @ Y2 ) )
% 2.84/1.53 = ( X2 = Y2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_306_antisym__conv2,axiom,
% 2.84/1.53 ! [X2: view_e774982825t_unit,Y2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_le461438217t_unit @ X2 @ Y2 )
% 2.84/1.53 => ( ( ~ ( ord_le1993783549t_unit @ X2 @ Y2 ) )
% 2.84/1.53 = ( X2 = Y2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_307_antisym__conv2,axiom,
% 2.84/1.53 ! [X2: real_int,Y2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X2 @ Y2 )
% 2.84/1.53 => ( ( ~ ( ord_less_real_int @ X2 @ Y2 ) )
% 2.84/1.53 = ( X2 = Y2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_308_antisym__conv2,axiom,
% 2.84/1.53 ! [X2: nat,Y2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X2 @ Y2 )
% 2.84/1.53 => ( ( ~ ( ord_less_nat @ X2 @ Y2 ) )
% 2.84/1.53 = ( X2 = Y2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_309_less__imp__le,axiom,
% 2.84/1.53 ! [X2: nat_int,Y2: nat_int] :
% 2.84/1.53 ( ( ord_less_nat_int @ X2 @ Y2 )
% 2.84/1.53 => ( ord_less_eq_nat_int @ X2 @ Y2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_310_less__imp__le,axiom,
% 2.84/1.53 ! [X2: view_e774982825t_unit,Y2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_le1993783549t_unit @ X2 @ Y2 )
% 2.84/1.53 => ( ord_le461438217t_unit @ X2 @ Y2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_311_less__imp__le,axiom,
% 2.84/1.53 ! [X2: real_int,Y2: real_int] :
% 2.84/1.53 ( ( ord_less_real_int @ X2 @ Y2 )
% 2.84/1.53 => ( ord_less_eq_real_int @ X2 @ Y2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_312_less__imp__le,axiom,
% 2.84/1.53 ! [X2: nat,Y2: nat] :
% 2.84/1.53 ( ( ord_less_nat @ X2 @ Y2 )
% 2.84/1.53 => ( ord_less_eq_nat @ X2 @ Y2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_313_le__less__trans,axiom,
% 2.84/1.53 ! [X2: nat_int,Y2: nat_int,Z: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_less_nat_int @ Y2 @ Z )
% 2.84/1.53 => ( ord_less_nat_int @ X2 @ Z ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_314_le__less__trans,axiom,
% 2.84/1.53 ! [X2: view_e774982825t_unit,Y2: view_e774982825t_unit,Z: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_le461438217t_unit @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_le1993783549t_unit @ Y2 @ Z )
% 2.84/1.53 => ( ord_le1993783549t_unit @ X2 @ Z ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_315_le__less__trans,axiom,
% 2.84/1.53 ! [X2: real_int,Y2: real_int,Z: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_less_real_int @ Y2 @ Z )
% 2.84/1.53 => ( ord_less_real_int @ X2 @ Z ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_316_le__less__trans,axiom,
% 2.84/1.53 ! [X2: nat,Y2: nat,Z: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_less_nat @ Y2 @ Z )
% 2.84/1.53 => ( ord_less_nat @ X2 @ Z ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_317_less__le__trans,axiom,
% 2.84/1.53 ! [X2: nat_int,Y2: nat_int,Z: nat_int] :
% 2.84/1.53 ( ( ord_less_nat_int @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_less_eq_nat_int @ Y2 @ Z )
% 2.84/1.53 => ( ord_less_nat_int @ X2 @ Z ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_318_less__le__trans,axiom,
% 2.84/1.53 ! [X2: view_e774982825t_unit,Y2: view_e774982825t_unit,Z: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_le1993783549t_unit @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_le461438217t_unit @ Y2 @ Z )
% 2.84/1.53 => ( ord_le1993783549t_unit @ X2 @ Z ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_319_less__le__trans,axiom,
% 2.84/1.53 ! [X2: real_int,Y2: real_int,Z: real_int] :
% 2.84/1.53 ( ( ord_less_real_int @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_less_eq_real_int @ Y2 @ Z )
% 2.84/1.53 => ( ord_less_real_int @ X2 @ Z ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_320_less__le__trans,axiom,
% 2.84/1.53 ! [X2: nat,Y2: nat,Z: nat] :
% 2.84/1.53 ( ( ord_less_nat @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_less_eq_nat @ Y2 @ Z )
% 2.84/1.53 => ( ord_less_nat @ X2 @ Z ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_321_le__less__linear,axiom,
% 2.84/1.53 ! [X2: nat,Y2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X2 @ Y2 )
% 2.84/1.53 | ( ord_less_nat @ Y2 @ X2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_322_le__imp__less__or__eq,axiom,
% 2.84/1.53 ! [X2: nat_int,Y2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_less_nat_int @ X2 @ Y2 )
% 2.84/1.53 | ( X2 = Y2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_323_le__imp__less__or__eq,axiom,
% 2.84/1.53 ! [X2: view_e774982825t_unit,Y2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_le461438217t_unit @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_le1993783549t_unit @ X2 @ Y2 )
% 2.84/1.53 | ( X2 = Y2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_324_le__imp__less__or__eq,axiom,
% 2.84/1.53 ! [X2: real_int,Y2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_less_real_int @ X2 @ Y2 )
% 2.84/1.53 | ( X2 = Y2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_325_le__imp__less__or__eq,axiom,
% 2.84/1.53 ! [X2: nat,Y2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X2 @ Y2 )
% 2.84/1.53 => ( ( ord_less_nat @ X2 @ Y2 )
% 2.84/1.53 | ( X2 = Y2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_326_less__le__not__le,axiom,
% 2.84/1.53 ( ord_less_nat_int
% 2.84/1.53 = ( ^ [X: nat_int,Y: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ X @ Y )
% 2.84/1.53 & ~ ( ord_less_eq_nat_int @ Y @ X ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_327_less__le__not__le,axiom,
% 2.84/1.53 ( ord_le1993783549t_unit
% 2.84/1.53 = ( ^ [X: view_e774982825t_unit,Y: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_le461438217t_unit @ X @ Y )
% 2.84/1.53 & ~ ( ord_le461438217t_unit @ Y @ X ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_328_less__le__not__le,axiom,
% 2.84/1.53 ( ord_less_real_int
% 2.84/1.53 = ( ^ [X: real_int,Y: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ X @ Y )
% 2.84/1.53 & ~ ( ord_less_eq_real_int @ Y @ X ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_329_less__le__not__le,axiom,
% 2.84/1.53 ( ord_less_nat
% 2.84/1.53 = ( ^ [X: nat,Y: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ X @ Y )
% 2.84/1.53 & ~ ( ord_less_eq_nat @ Y @ X ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_330_not__le__imp__less,axiom,
% 2.84/1.53 ! [Y2: nat,X2: nat] :
% 2.84/1.53 ( ~ ( ord_less_eq_nat @ Y2 @ X2 )
% 2.84/1.53 => ( ord_less_nat @ X2 @ Y2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_331_order_Ostrict__trans1,axiom,
% 2.84/1.53 ! [A2: view_e774982825t_unit,B: view_e774982825t_unit,C2: view_e774982825t_unit] :
% 2.84/1.53 ( ( ord_le461438217t_unit @ A2 @ B )
% 2.84/1.53 => ( ( ord_le1993783549t_unit @ B @ C2 )
% 2.84/1.53 => ( ord_le1993783549t_unit @ A2 @ C2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_332_order_Ostrict__trans1,axiom,
% 2.84/1.53 ! [A2: real_int,B: real_int,C2: real_int] :
% 2.84/1.53 ( ( ord_less_eq_real_int @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_real_int @ B @ C2 )
% 2.84/1.53 => ( ord_less_real_int @ A2 @ C2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_333_order_Ostrict__trans1,axiom,
% 2.84/1.53 ! [A2: nat,B: nat,C2: nat] :
% 2.84/1.53 ( ( ord_less_eq_nat @ A2 @ B )
% 2.84/1.53 => ( ( ord_less_nat @ B @ C2 )
% 2.84/1.53 => ( ord_less_nat @ A2 @ C2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_334_view_Ohorizontal__chop__leq2,axiom,
% 2.84/1.53 ! [V2: view_e774982825t_unit,U3: view_e774982825t_unit,W2: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V2 @ U3 @ W2 )
% 2.84/1.53 => ( ord_le461438217t_unit @ W2 @ V2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_335_view_Ohorizontal__chop__leq1,axiom,
% 2.84/1.53 ! [V2: view_e774982825t_unit,U3: view_e774982825t_unit,W2: view_e774982825t_unit] :
% 2.84/1.53 ( ( hchop @ V2 @ U3 @ W2 )
% 2.84/1.53 => ( ord_le461438217t_unit @ U3 @ V2 ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_336_view_Oswitch__leq,axiom,
% 2.84/1.53 ! [U5: view_e774982825t_unit,U3: view_e774982825t_unit,V2: view_e774982825t_unit,C2: cars] :
% 2.84/1.53 ( ( ( ord_le461438217t_unit @ U5 @ U3 )
% 2.84/1.53 & ( switch @ V2 @ C2 @ U3 ) )
% 2.84/1.53 => ? [V5: view_e774982825t_unit] :
% 2.84/1.53 ( ( switch @ V5 @ C2 @ U5 )
% 2.84/1.53 & ( ord_le461438217t_unit @ V5 @ V2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_337_chop__leq2,axiom,
% 2.84/1.53 ! [R: real_int,S2: real_int,T: real_int] :
% 2.84/1.53 ( ( real_R_Chop @ R @ S2 @ T )
% 2.84/1.53 => ( ord_less_eq_real_int @ T @ R ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_338_chop__leq1,axiom,
% 2.84/1.53 ! [R: real_int,S2: real_int,T: real_int] :
% 2.84/1.53 ( ( real_R_Chop @ R @ S2 @ T )
% 2.84/1.53 => ( ord_less_eq_real_int @ S2 @ R ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_339_card__subset__le,axiom,
% 2.84/1.53 ! [I: nat_int,I2: nat_int] :
% 2.84/1.53 ( ( ord_less_eq_nat_int @ I @ I2 )
% 2.84/1.53 => ( ord_less_eq_nat @ ( nat_card @ I ) @ ( nat_card @ I2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_340_traffic_Oclm__consec__res,axiom,
% 2.84/1.53 ! [Ts4: traffic,C2: cars] :
% 2.84/1.53 ( ( ( clm @ Ts4 @ C2 )
% 2.84/1.53 != bot_bot_nat_int )
% 2.84/1.53 => ( ( nat_consec @ ( clm @ Ts4 @ C2 ) @ ( res @ Ts4 @ C2 ) )
% 2.84/1.53 | ( nat_consec @ ( res @ Ts4 @ C2 ) @ ( clm @ Ts4 @ C2 ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_341_card__subset__less,axiom,
% 2.84/1.53 ! [I: nat_int,I2: nat_int] :
% 2.84/1.53 ( ( ord_less_nat_int @ I @ I2 )
% 2.84/1.53 => ( ord_less_nat @ ( nat_card @ I ) @ ( nat_card @ I2 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_342_consec__intermediate2,axiom,
% 2.84/1.53 ! [I: nat_int,J: nat_int,K: nat_int] :
% 2.84/1.53 ( ( ( nat_consec @ I @ J )
% 2.84/1.53 & ( nat_consec @ ( nat_union @ I @ J ) @ K ) )
% 2.84/1.53 => ( nat_consec @ J @ K ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_343_consec__intermediate1,axiom,
% 2.84/1.53 ! [J: nat_int,K: nat_int,I: nat_int] :
% 2.84/1.53 ( ( ( nat_consec @ J @ K )
% 2.84/1.53 & ( nat_consec @ I @ ( nat_union @ J @ K ) ) )
% 2.84/1.53 => ( nat_consec @ I @ J ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_344_consec__assoc2,axiom,
% 2.84/1.53 ! [I: nat_int,J: nat_int,K: nat_int] :
% 2.84/1.53 ( ( ( nat_consec @ I @ J )
% 2.84/1.53 & ( nat_consec @ ( nat_union @ I @ J ) @ K ) )
% 2.84/1.53 => ( nat_consec @ I @ ( nat_union @ J @ K ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_345_consec__assoc1,axiom,
% 2.84/1.53 ! [J: nat_int,K: nat_int,I: nat_int] :
% 2.84/1.53 ( ( ( nat_consec @ J @ K )
% 2.84/1.53 & ( nat_consec @ I @ ( nat_union @ J @ K ) ) )
% 2.84/1.53 => ( nat_consec @ ( nat_union @ I @ J ) @ K ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_346_un__assoc,axiom,
% 2.84/1.53 ! [I: nat_int,J: nat_int,K: nat_int] :
% 2.84/1.53 ( ( ( nat_consec @ I @ J )
% 2.84/1.53 & ( nat_consec @ J @ K ) )
% 2.84/1.53 => ( ( nat_union @ ( nat_union @ I @ J ) @ K )
% 2.84/1.53 = ( nat_union @ I @ ( nat_union @ J @ K ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_347_consec__assoc__mult,axiom,
% 2.84/1.53 ! [I22: nat_int,I1: nat_int,I3: nat_int,I4: nat_int] :
% 2.84/1.53 ( ( ( ( I22 = bot_bot_nat_int )
% 2.84/1.53 | ( nat_consec @ I1 @ I22 ) )
% 2.84/1.53 & ( ( I3 = bot_bot_nat_int )
% 2.84/1.53 | ( nat_consec @ I3 @ I4 ) )
% 2.84/1.53 & ( nat_consec @ ( nat_union @ I1 @ I22 ) @ ( nat_union @ I3 @ I4 ) ) )
% 2.84/1.53 => ( ( nat_union @ ( nat_union @ I1 @ I22 ) @ ( nat_union @ I3 @ I4 ) )
% 2.84/1.53 = ( nat_union @ ( nat_union @ I1 @ ( nat_union @ I22 @ I3 ) ) @ I4 ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_348_un__subset2,axiom,
% 2.84/1.53 ! [I: nat_int,J: nat_int] :
% 2.84/1.53 ( ( nat_consec @ I @ J )
% 2.84/1.53 => ( ord_less_eq_nat_int @ J @ ( nat_union @ I @ J ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_349_un__subset1,axiom,
% 2.84/1.53 ! [I: nat_int,J: nat_int] :
% 2.84/1.53 ( ( nat_consec @ I @ J )
% 2.84/1.53 => ( ord_less_eq_nat_int @ I @ ( nat_union @ I @ J ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_350_nchop__def,axiom,
% 2.84/1.53 ( nat_N_Chop
% 2.84/1.53 = ( ^ [I5: nat_int,J2: nat_int,K2: nat_int] :
% 2.84/1.53 ( ( I5
% 2.84/1.53 = ( nat_union @ J2 @ K2 ) )
% 2.84/1.53 & ( ( J2 = bot_bot_nat_int )
% 2.84/1.53 | ( K2 = bot_bot_nat_int )
% 2.84/1.53 | ( nat_consec @ J2 @ K2 ) ) ) ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(fact_351_consec__un__not__elem2,axiom,
% 2.84/1.53 ! [I: nat_int,J: nat_int,N: nat] :
% 2.84/1.53 ( ( ( nat_consec @ I @ J )
% 2.84/1.53 & ( nat_not_in @ N @ ( nat_union @ I @ J ) ) )
% 2.84/1.53 => ( nat_not_in @ N @ J ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(help_If_2_1_If_001t__NatInt__Onat____int_T,axiom,
% 2.84/1.53 ! [X2: nat_int,Y2: nat_int] :
% 2.84/1.53 ( ( if_nat_int @ $false @ X2 @ Y2 )
% 2.84/1.53 = Y2 ) ).
% 2.84/1.53
% 2.84/1.53 thf(help_If_1_1_If_001t__NatInt__Onat____int_T,axiom,
% 2.84/1.53 ! [X2: nat_int,Y2: nat_int] :
% 2.84/1.53 ( ( if_nat_int @ $true @ X2 @ Y2 )
% 2.84/1.53 = X2 ) ).
% 2.84/1.53
% 2.84/1.53 thf(help_If_3_1_If_001_062_It__Real__Oreal_Mt__Real__Oreal_J_T,axiom,
% 2.84/1.53 ! [P: $o] :
% 2.84/1.53 ( ( P = $true )
% 2.84/1.53 | ( P = $false ) ) ).
% 2.84/1.53
% 2.84/1.53 thf(help_If_2_1_If_001_062_It__Real__Oreal_Mt__Real__Oreal_J_T,axiom,
% 2.84/1.53 ! [X2: real > real,Y2: real > real] :
% 2.84/1.53 ( ( if_real_real @ $false @ X2 @ Y2 )
% 2.84/1.53 = Y2 ) ).
% 2.84/1.53
% 2.84/1.53 thf(help_If_1_1_If_001_062_It__Real__Oreal_Mt__Real__Oreal_J_T,axiom,
% 2.84/1.53 ! [X2: real > real,Y2: real > real] :
% 2.84/1.53 ( ( if_real_real @ $true @ X2 @ Y2 )
% 2.84/1.53 = X2 ) ).
% 2.84/1.53
% 2.84/1.53 thf(conj_0,conjecture,
% 2.84/1.53 ( ( move @ ts3 @ ts_a @ v )
% 2.84/1.53 = ( move @ ts3 @ ts @ v ) ) ).
% 2.84/1.53 ------------------------
% 2.84/1.56 % (27398)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/2Mi)
% 2.84/1.56 % (27396)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/4Mi)
% 2.84/1.56 % (27395)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/183Mi)
% 2.84/1.56 % (27398)Instruction limit reached!
% 2.84/1.56 % (27398)------------------------------
% 2.84/1.56 % (27398)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.56 % (27398)Termination reason: Unknown
% 2.84/1.56 % (27398)Termination phase: shuffling
% 2.84/1.56
% 2.84/1.56 % (27398)Memory used [KB]: 1535
% 2.84/1.56 % (27398)Time elapsed: 0.003 s
% 2.84/1.56 % (27398)Instructions burned: 3 (million)
% 2.84/1.56 % (27398)------------------------------
% 2.84/1.56 % (27398)------------------------------
% 2.84/1.56 % (27396)Instruction limit reached!
% 2.84/1.56 % (27396)------------------------------
% 2.84/1.56 % (27396)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.56 % (27396)Termination reason: Unknown
% 2.84/1.56 % (27396)Termination phase: shuffling
% 2.84/1.56
% 2.84/1.56 % (27396)Memory used [KB]: 1535
% 2.84/1.56 % (27396)Time elapsed: 0.003 s
% 2.84/1.56 % (27396)Instructions burned: 5 (million)
% 2.84/1.56 % (27396)------------------------------
% 2.84/1.56 % (27396)------------------------------
% 2.84/1.56 % (27401)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/18Mi)
% 2.84/1.56 % (27400)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/275Mi)
% 2.84/1.57 % (27399)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/2Mi)
% 2.84/1.57 % (27397)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/27Mi)
% 2.84/1.57 % (27399)Instruction limit reached!
% 2.84/1.57 % (27399)------------------------------
% 2.84/1.57 % (27399)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.57 % (27399)Termination reason: Unknown
% 2.84/1.57 % (27399)Termination phase: shuffling
% 2.84/1.57
% 2.84/1.57 % (27399)Memory used [KB]: 1535
% 2.84/1.57 % (27399)Time elapsed: 0.004 s
% 2.84/1.57 % (27399)Instructions burned: 3 (million)
% 2.84/1.57 % (27399)------------------------------
% 2.84/1.57 % (27399)------------------------------
% 2.84/1.57 % (27403)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/37Mi)
% 2.84/1.57 % (27402)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/3Mi)
% 2.84/1.57 % (27402)Instruction limit reached!
% 2.84/1.57 % (27402)------------------------------
% 2.84/1.57 % (27402)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.57 % (27402)Termination reason: Unknown
% 2.84/1.57 % (27402)Termination phase: shuffling
% 2.84/1.57
% 2.84/1.57 % (27402)Memory used [KB]: 1535
% 2.84/1.57 % (27402)Time elapsed: 0.003 s
% 2.84/1.57 % (27402)Instructions burned: 3 (million)
% 2.84/1.57 % (27402)------------------------------
% 2.84/1.57 % (27402)------------------------------
% 2.84/1.57 % (27401)Instruction limit reached!
% 2.84/1.57 % (27401)------------------------------
% 2.84/1.57 % (27401)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.57 % (27401)Termination reason: Unknown
% 2.84/1.57 % (27401)Termination phase: shuffling
% 2.84/1.57
% 2.84/1.57 % (27401)Memory used [KB]: 1918
% 2.84/1.57 % (27401)Time elapsed: 0.010 s
% 2.84/1.57 % (27401)Instructions burned: 18 (million)
% 2.84/1.57 % (27401)------------------------------
% 2.84/1.57 % (27401)------------------------------
% 2.84/1.58 % (27403)Instruction limit reached!
% 2.84/1.58 % (27403)------------------------------
% 2.84/1.58 % (27403)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.58 % (27403)Termination reason: Unknown
% 2.84/1.58 % (27403)Termination phase: shuffling
% 2.84/1.58
% 2.84/1.58 % (27403)Memory used [KB]: 2302
% 2.84/1.58 % (27403)Time elapsed: 0.012 s
% 2.84/1.58 % (27403)Instructions burned: 39 (million)
% 2.84/1.58 % (27403)------------------------------
% 2.84/1.58 % (27403)------------------------------
% 2.84/1.58 % (27397)Instruction limit reached!
% 2.84/1.58 % (27397)------------------------------
% 2.84/1.58 % (27397)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.58 % (27397)Termination reason: Unknown
% 2.84/1.58 % (27397)Termination phase: shuffling
% 2.84/1.58
% 2.84/1.58 % (27397)Memory used [KB]: 2046
% 2.84/1.58 % (27397)Time elapsed: 0.018 s
% 2.84/1.58 % (27397)Instructions burned: 27 (million)
% 2.84/1.58 % (27397)------------------------------
% 2.84/1.58 % (27397)------------------------------
% 2.84/1.58 % (27405)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/3Mi)
% 2.84/1.58 % (27405)Instruction limit reached!
% 2.84/1.58 % (27405)------------------------------
% 2.84/1.58 % (27405)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.58 % (27405)Termination reason: Unknown
% 2.84/1.58 % (27405)Termination phase: shuffling
% 2.84/1.58
% 2.84/1.58 % (27405)Memory used [KB]: 1663
% 2.84/1.58 % (27405)Time elapsed: 0.003 s
% 2.84/1.58 % (27405)Instructions burned: 5 (million)
% 2.84/1.58 % (27405)------------------------------
% 2.84/1.58 % (27405)------------------------------
% 2.84/1.59 % (27404)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/15Mi)
% 2.84/1.59 % (27406)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/1041Mi)
% 2.84/1.59 % (27407)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/7Mi)
% 2.84/1.59 % (27407)Instruction limit reached!
% 2.84/1.59 % (27407)------------------------------
% 2.84/1.59 % (27407)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.59 % (27407)Termination reason: Unknown
% 2.84/1.59 % (27407)Termination phase: shuffling
% 2.84/1.59
% 2.84/1.59 % (27407)Memory used [KB]: 1791
% 2.84/1.59 % (27407)Time elapsed: 0.004 s
% 2.84/1.59 % (27407)Instructions burned: 8 (million)
% 2.84/1.59 % (27407)------------------------------
% 2.84/1.59 % (27407)------------------------------
% 2.84/1.59 % (27404)Instruction limit reached!
% 2.84/1.59 % (27404)------------------------------
% 2.84/1.59 % (27404)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.59 % (27404)Termination reason: Unknown
% 2.84/1.59 % (27404)Termination phase: shuffling
% 2.84/1.59
% 2.84/1.59 % (27404)Memory used [KB]: 1918
% 2.84/1.59 % (27404)Time elapsed: 0.011 s
% 2.84/1.59 % (27404)Instructions burned: 16 (million)
% 2.84/1.59 % (27404)------------------------------
% 2.84/1.59 % (27404)------------------------------
% 2.84/1.59 % (27409)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/3Mi)
% 2.88/1.60 % (27409)Instruction limit reached!
% 2.88/1.60 % (27409)------------------------------
% 2.88/1.60 % (27409)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.60 % (27409)Termination reason: Unknown
% 2.88/1.60 % (27409)Termination phase: shuffling
% 2.88/1.60
% 2.88/1.60 % (27409)Memory used [KB]: 1663
% 2.88/1.60 % (27409)Time elapsed: 0.004 s
% 2.88/1.60 % (27409)Instructions burned: 5 (million)
% 2.88/1.60 % (27409)------------------------------
% 2.88/1.60 % (27409)------------------------------
% 2.88/1.60 % (27400)Refutation not found, incomplete strategy
% 2.88/1.60 % (27400)------------------------------
% 2.88/1.60 % (27400)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.60 % (27400)Termination reason: Refutation not found, incomplete strategy
% 2.88/1.60
% 2.88/1.60
% 2.88/1.60 % (27400)Memory used [KB]: 6908
% 2.88/1.60 % (27400)Time elapsed: 0.034 s
% 2.88/1.60 % (27400)Instructions burned: 68 (million)
% 2.88/1.60 % (27400)------------------------------
% 2.88/1.60 % (27400)------------------------------
% 2.88/1.60 % (27408)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/16Mi)
% 2.88/1.60 % (27410)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/3Mi)
% 2.88/1.60 % (27410)Instruction limit reached!
% 2.88/1.60 % (27410)------------------------------
% 2.88/1.60 % (27410)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.60 % (27410)Termination reason: Unknown
% 2.88/1.60 % (27410)Termination phase: shuffling
% 2.88/1.60
% 2.88/1.60 % (27410)Memory used [KB]: 1663
% 2.88/1.60 % (27410)Time elapsed: 0.003 s
% 2.88/1.60 % (27410)Instructions burned: 5 (million)
% 2.88/1.60 % (27410)------------------------------
% 2.88/1.60 % (27410)------------------------------
% 2.88/1.61 % (27412)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/3Mi)
% 2.88/1.61 % (27412)Instruction limit reached!
% 2.88/1.61 % (27412)------------------------------
% 2.88/1.61 % (27412)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.61 % (27412)Termination reason: Unknown
% 2.88/1.61 % (27412)Termination phase: shuffling
% 2.88/1.61
% 2.88/1.61 % (27412)Memory used [KB]: 1535
% 2.88/1.61 % (27412)Time elapsed: 0.003 s
% 2.88/1.61 % (27412)Instructions burned: 3 (million)
% 2.88/1.61 % (27412)------------------------------
% 2.88/1.61 % (27412)------------------------------
% 2.88/1.61 % (27411)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/7Mi)
% 2.88/1.61 % (27408)Instruction limit reached!
% 2.88/1.61 % (27408)------------------------------
% 2.88/1.61 % (27408)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.61 % (27408)Termination reason: Unknown
% 2.88/1.61 % (27408)Termination phase: shuffling
% 2.88/1.61
% 2.88/1.61 % (27408)Memory used [KB]: 1918
% 2.88/1.61 % (27408)Time elapsed: 0.013 s
% 2.88/1.61 % (27408)Instructions burned: 16 (million)
% 2.88/1.61 % (27408)------------------------------
% 2.88/1.61 % (27408)------------------------------
% 2.88/1.61 % (27413)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/4Mi)
% 2.88/1.61 % (27411)Instruction limit reached!
% 2.88/1.61 % (27411)------------------------------
% 2.88/1.61 % (27411)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.61 % (27411)Termination reason: Unknown
% 2.88/1.61 % (27411)Termination phase: shuffling
% 2.88/1.61
% 2.88/1.61 % (27411)Memory used [KB]: 1791
% 2.88/1.61 % (27411)Time elapsed: 0.005 s
% 2.88/1.61 % (27411)Instructions burned: 9 (million)
% 2.88/1.61 % (27411)------------------------------
% 2.88/1.61 % (27411)------------------------------
% 2.88/1.61 % (27414)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/18Mi)
% 2.88/1.62 % (27413)Instruction limit reached!
% 2.88/1.62 % (27413)------------------------------
% 2.88/1.62 % (27413)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.62 % (27413)Termination reason: Unknown
% 2.88/1.62 % (27413)Termination phase: shuffling
% 2.88/1.62
% 2.88/1.62 % (27413)Memory used [KB]: 1663
% 2.88/1.62 % (27413)Time elapsed: 0.005 s
% 2.88/1.62 % (27413)Instructions burned: 6 (million)
% 2.88/1.62 % (27413)------------------------------
% 2.88/1.62 % (27413)------------------------------
% 2.88/1.62 % (27415)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/710Mi)
% 2.88/1.62 % (27414)Instruction limit reached!
% 2.88/1.62 % (27414)------------------------------
% 2.88/1.62 % (27414)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.62 % (27414)Termination reason: Unknown
% 2.88/1.62 % (27414)Termination phase: shuffling
% 2.88/1.62
% 2.88/1.62 % (27414)Memory used [KB]: 1918
% 2.88/1.62 % (27414)Time elapsed: 0.009 s
% 2.88/1.62 % (27414)Instructions burned: 19 (million)
% 2.88/1.62 % (27414)------------------------------
% 2.88/1.62 % (27414)------------------------------
% 2.88/1.62 % (27417)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/902Mi)
% 2.88/1.63 % (27418)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/21Mi)
% 2.88/1.64 % (27418)Instruction limit reached!
% 2.88/1.64 % (27418)------------------------------
% 2.88/1.64 % (27418)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.64 % (27418)Termination reason: Unknown
% 2.88/1.64 % (27418)Termination phase: shuffling
% 2.88/1.64
% 2.88/1.64 % (27418)Memory used [KB]: 2046
% 2.88/1.64 % (27418)Time elapsed: 0.009 s
% 2.88/1.64 % (27418)Instructions burned: 23 (million)
% 2.88/1.64 % (27418)------------------------------
% 2.88/1.64 % (27418)------------------------------
% 2.88/1.64 % (27395)Instruction limit reached!
% 2.88/1.64 % (27395)------------------------------
% 2.88/1.64 % (27395)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.64 % (27395)Termination reason: Unknown
% 2.88/1.64 % (27395)Termination phase: Property scanning
% 2.88/1.64
% 2.88/1.64 % (27395)Memory used [KB]: 3070
% 2.88/1.64 % (27395)Time elapsed: 0.079 s
% 2.88/1.64 % (27395)Instructions burned: 184 (million)
% 2.88/1.64 % (27395)------------------------------
% 2.88/1.64 % (27395)------------------------------
% 2.88/1.64 % (27416)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/6Mi)
% 2.88/1.64 % (27419)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/5Mi)
% 2.88/1.64 % (27416)Instruction limit reached!
% 2.88/1.64 % (27416)------------------------------
% 2.88/1.64 % (27416)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.64 % (27416)Termination reason: Unknown
% 2.88/1.64 % (27416)Termination phase: shuffling
% 2.88/1.64
% 2.88/1.64 % (27416)Memory used [KB]: 1663
% 2.88/1.64 % (27416)Time elapsed: 0.006 s
% 2.88/1.64 % (27416)Instructions burned: 6 (million)
% 2.88/1.64 % (27416)------------------------------
% 2.88/1.64 % (27416)------------------------------
% 2.88/1.64 % (27419)Instruction limit reached!
% 2.88/1.64 % (27419)------------------------------
% 2.88/1.64 % (27419)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.64 % (27419)Termination reason: Unknown
% 2.88/1.64 % (27419)Termination phase: shuffling
% 2.88/1.64
% 2.88/1.64 % (27419)Memory used [KB]: 1663
% 2.88/1.64 % (27419)Time elapsed: 0.004 s
% 2.88/1.64 % (27419)Instructions burned: 6 (million)
% 2.88/1.64 % (27419)------------------------------
% 2.88/1.64 % (27419)------------------------------
% 2.88/1.65 % (27420)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/6Mi)
% 2.88/1.65 % (27421)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/377Mi)
% 2.88/1.65 % (27420)Instruction limit reached!
% 2.88/1.65 % (27420)------------------------------
% 2.88/1.65 % (27420)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.65 % (27420)Termination reason: Unknown
% 2.88/1.65 % (27420)Termination phase: shuffling
% 2.88/1.65
% 2.88/1.65 % (27420)Memory used [KB]: 1663
% 2.88/1.65 % (27420)Time elapsed: 0.003 s
% 2.88/1.65 % (27420)Instructions burned: 6 (million)
% 2.88/1.65 % (27420)------------------------------
% 2.88/1.65 % (27420)------------------------------
% 2.88/1.65 % (27423)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/19Mi)
% 2.88/1.66 % (27423)Instruction limit reached!
% 2.88/1.66 % (27423)------------------------------
% 2.88/1.66 % (27423)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.66 % (27423)Termination reason: Unknown
% 2.88/1.66 % (27423)Termination phase: shuffling
% 2.88/1.66
% 2.88/1.66 % (27423)Memory used [KB]: 2046
% 2.88/1.66 % (27423)Time elapsed: 0.007 s
% 2.88/1.66 % (27423)Instructions burned: 21 (million)
% 2.88/1.66 % (27423)------------------------------
% 2.88/1.66 % (27423)------------------------------
% 2.88/1.66 % (27422)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_27276 for (2999ds/779Mi)
% 2.88/1.66 % (27424)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_27276 for (2998ds/879Mi)
% 2.88/1.67 % (27425)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_27276 for (2998ds/17Mi)
% 2.88/1.67 % (27425)Instruction limit reached!
% 2.88/1.67 % (27425)------------------------------
% 2.88/1.67 % (27425)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.67 % (27425)Termination reason: Unknown
% 2.88/1.67 % (27425)Termination phase: shuffling
% 2.88/1.67
% 2.88/1.67 % (27425)Memory used [KB]: 1918
% 2.88/1.67 % (27425)Time elapsed: 0.007 s
% 2.88/1.67 % (27425)Instructions burned: 19 (million)
% 2.88/1.67 % (27425)------------------------------
% 2.88/1.67 % (27425)------------------------------
% 2.88/1.68 % (27426)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_27276 for (2998ds/3Mi)
% 2.88/1.68 % (27426)Instruction limit reached!
% 2.88/1.68 % (27426)------------------------------
% 2.88/1.68 % (27426)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.68 % (27426)Termination reason: Unknown
% 2.88/1.68 % (27426)Termination phase: shuffling
% 2.88/1.68
% 2.88/1.68 % (27426)Memory used [KB]: 1535
% 2.88/1.68 % (27426)Time elapsed: 0.003 s
% 2.88/1.68 % (27426)Instructions burned: 4 (million)
% 2.88/1.68 % (27426)------------------------------
% 2.88/1.68 % (27426)------------------------------
% 2.88/1.69 % (27427)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_27276 for (2998ds/30Mi)
% 2.88/1.70 % (27427)Instruction limit reached!
% 2.88/1.70 % (27427)------------------------------
% 2.88/1.70 % (27427)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.70 % (27427)Termination reason: Unknown
% 2.88/1.70 % (27427)Termination phase: shuffling
% 2.88/1.70
% 2.88/1.70 % (27427)Memory used [KB]: 2174
% 2.88/1.70 % (27427)Time elapsed: 0.011 s
% 2.88/1.70 % (27427)Instructions burned: 31 (million)
% 2.88/1.70 % (27427)------------------------------
% 2.88/1.70 % (27427)------------------------------
% 2.88/1.71 % (27428)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_27276 for (2998ds/127Mi)
% 2.88/1.72 % (27417)Refutation not found, incomplete strategy
% 2.88/1.72 % (27417)------------------------------
% 2.88/1.72 % (27417)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.72 % (27417)Termination reason: Refutation not found, incomplete strategy
% 2.88/1.72
% 2.88/1.72
% 2.88/1.72 % (27417)Memory used [KB]: 8571
% 2.88/1.72 % (27417)Time elapsed: 0.096 s
% 2.88/1.72 % (27417)Instructions burned: 205 (million)
% 2.88/1.72 % (27417)------------------------------
% 2.88/1.72 % (27417)------------------------------
% 2.88/1.74 % (27429)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_27276 for (2998ds/100Mi)
% 2.88/1.75 % (27421)Instruction limit reached!
% 2.88/1.75 % (27421)------------------------------
% 2.88/1.75 % (27421)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.75 % (27421)Termination reason: Unknown
% 2.88/1.75 % (27421)Termination phase: Saturation
% 2.88/1.75
% 2.88/1.75 % (27421)Memory used [KB]: 8315
% 2.88/1.75 % (27421)Time elapsed: 0.105 s
% 2.88/1.75 % (27421)Instructions burned: 379 (million)
% 2.88/1.75 % (27421)------------------------------
% 2.88/1.75 % (27421)------------------------------
% 2.88/1.76 % (27430)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_27276 for (2998ds/3Mi)
% 2.88/1.76 % (27430)Instruction limit reached!
% 2.88/1.76 % (27430)------------------------------
% 2.88/1.76 % (27430)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.76 % (27430)Termination reason: Unknown
% 2.88/1.76 % (27430)Termination phase: shuffling
% 2.88/1.76
% 2.88/1.76 % (27430)Memory used [KB]: 1535
% 2.88/1.76 % (27430)Time elapsed: 0.003 s
% 2.88/1.76 % (27430)Instructions burned: 3 (million)
% 2.88/1.76 % (27430)------------------------------
% 2.88/1.76 % (27430)------------------------------
% 2.88/1.76 % (27428)Instruction limit reached!
% 2.88/1.76 % (27428)------------------------------
% 2.88/1.76 % (27428)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.76 % (27428)Termination reason: Unknown
% 2.88/1.76 % (27428)Termination phase: Function definition elimination
% 2.88/1.76
% 2.88/1.76 % (27428)Memory used [KB]: 3070
% 2.88/1.76 % (27428)Time elapsed: 0.052 s
% 2.88/1.76 % (27428)Instructions burned: 129 (million)
% 2.88/1.76 % (27428)------------------------------
% 2.88/1.76 % (27428)------------------------------
% 2.88/1.77 % (27431)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_27276 for (2997ds/20Mi)
% 2.88/1.78 % (27431)Instruction limit reached!
% 2.88/1.78 % (27431)------------------------------
% 2.88/1.78 % (27431)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.78 % (27431)Termination reason: Unknown
% 2.88/1.78 % (27431)Termination phase: shuffling
% 2.88/1.78
% 2.88/1.78 % (27431)Memory used [KB]: 1918
% 2.88/1.78 % (27431)Time elapsed: 0.009 s
% 2.88/1.78 % (27431)Instructions burned: 22 (million)
% 2.88/1.78 % (27431)------------------------------
% 2.88/1.78 % (27431)------------------------------
% 2.88/1.78 % (27432)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_27276 for (2997ds/86Mi)
% 2.88/1.78 % (27429)Instruction limit reached!
% 2.88/1.78 % (27429)------------------------------
% 2.88/1.78 % (27429)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.78 % (27429)Termination reason: Unknown
% 2.88/1.78 % (27429)Termination phase: Property scanning
% 2.88/1.78
% 2.88/1.78 % (27429)Memory used [KB]: 2942
% 2.88/1.78 % (27429)Time elapsed: 0.047 s
% 2.88/1.78 % (27429)Instructions burned: 102 (million)
% 2.88/1.78 % (27429)------------------------------
% 2.88/1.78 % (27429)------------------------------
% 2.88/1.79 % (27433)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_27276 for (2997ds/107Mi)
% 2.88/1.79 % (27434)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_27276 for (2997ds/39Mi)
% 2.88/1.80 % (27434)Instruction limit reached!
% 2.88/1.80 % (27434)------------------------------
% 2.88/1.80 % (27434)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.80 % (27434)Termination reason: Unknown
% 2.88/1.80 % (27434)Termination phase: shuffling
% 2.88/1.80
% 2.88/1.80 % (27434)Memory used [KB]: 2302
% 2.88/1.80 % (27434)Time elapsed: 0.013 s
% 2.88/1.80 % (27434)Instructions burned: 41 (million)
% 2.88/1.80 % (27434)------------------------------
% 2.88/1.80 % (27434)------------------------------
% 2.88/1.81 % (27432)Instruction limit reached!
% 2.88/1.81 % (27432)------------------------------
% 2.88/1.81 % (27432)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.81 % (27432)Termination reason: Unknown
% 2.88/1.81 % (27432)Termination phase: Property scanning
% 2.88/1.81
% 2.88/1.81 % (27432)Memory used [KB]: 2942
% 2.88/1.81 % (27432)Time elapsed: 0.029 s
% 2.88/1.81 % (27432)Instructions burned: 88 (million)
% 2.88/1.81 % (27432)------------------------------
% 2.88/1.81 % (27432)------------------------------
% 2.88/1.81 % (27435)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_27276 for (2997ds/448Mi)
% 2.88/1.82 % (27436)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_27276 for (2997ds/46Mi)
% 2.88/1.82 % (27433)Instruction limit reached!
% 2.88/1.82 % (27433)------------------------------
% 2.88/1.82 % (27433)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.82 % (27433)Termination reason: Unknown
% 2.88/1.82 % (27433)Termination phase: Property scanning
% 2.88/1.82
% 2.88/1.82 % (27433)Memory used [KB]: 2942
% 2.88/1.82 % (27433)Time elapsed: 0.032 s
% 2.88/1.82 % (27433)Instructions burned: 107 (million)
% 2.88/1.82 % (27433)------------------------------
% 2.88/1.82 % (27433)------------------------------
% 2.88/1.83 % (27437)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_27276 for (2997ds/98Mi)
% 2.88/1.83 % (27436)Instruction limit reached!
% 2.88/1.83 % (27436)------------------------------
% 2.88/1.83 % (27436)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.83 % (27436)Termination reason: Unknown
% 2.88/1.83 % (27436)Termination phase: Property scanning
% 2.88/1.83
% 2.88/1.83 % (27436)Memory used [KB]: 2430
% 2.88/1.83 % (27436)Time elapsed: 0.015 s
% 2.88/1.83 % (27436)Instructions burned: 46 (million)
% 2.88/1.83 % (27436)------------------------------
% 2.88/1.83 % (27436)------------------------------
% 2.88/1.84 % (27438)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_27276 for (2997ds/507Mi)
% 2.88/1.86 % (27437)Instruction limit reached!
% 2.88/1.86 % (27437)------------------------------
% 2.88/1.86 % (27437)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.86 % (27437)Termination reason: Unknown
% 2.88/1.86 % (27437)Termination phase: Property scanning
% 2.88/1.86
% 2.88/1.86 % (27437)Memory used [KB]: 2942
% 2.88/1.86 % (27437)Time elapsed: 0.028 s
% 2.88/1.86 % (27437)Instructions burned: 100 (million)
% 2.88/1.86 % (27437)------------------------------
% 2.88/1.86 % (27437)------------------------------
% 2.88/1.87 % (27439)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_27276 for (2996ds/149Mi)
% 2.88/1.89 % (27415)Instruction limit reached!
% 2.88/1.89 % (27415)------------------------------
% 2.88/1.89 % (27415)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.89 % (27415)Termination reason: Unknown
% 2.88/1.89 % (27415)Termination phase: Saturation
% 2.88/1.89
% 2.88/1.89 % (27415)Memory used [KB]: 8827
% 2.88/1.89 % (27415)Time elapsed: 0.271 s
% 2.88/1.89 % (27415)Instructions burned: 712 (million)
% 2.88/1.89 % (27415)------------------------------
% 2.88/1.89 % (27415)------------------------------
% 2.88/1.90 % (27440)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_27276 for (2996ds/39Mi)
% 2.88/1.91 % (27440)Instruction limit reached!
% 2.88/1.91 % (27440)------------------------------
% 2.88/1.91 % (27440)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.91 % (27440)Termination reason: Unknown
% 2.88/1.91 % (27440)Termination phase: Property scanning
% 2.88/1.91
% 2.88/1.91 % (27440)Memory used [KB]: 2430
% 2.88/1.91 % (27440)Time elapsed: 0.015 s
% 2.88/1.91 % (27440)Instructions burned: 42 (million)
% 2.88/1.91 % (27440)------------------------------
% 2.88/1.91 % (27440)------------------------------
% 2.88/1.92 % (27441)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_27276 for (2996ds/6Mi)
% 2.88/1.92 % (27422)Instruction limit reached!
% 2.88/1.92 % (27422)------------------------------
% 2.88/1.92 % (27422)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.92 % (27422)Termination reason: Unknown
% 2.88/1.92 % (27422)Termination phase: Saturation
% 2.88/1.92
% 2.88/1.92 % (27422)Memory used [KB]: 9722
% 2.88/1.92 % (27422)Time elapsed: 0.267 s
% 2.88/1.92 % (27422)Instructions burned: 781 (million)
% 2.88/1.92 % (27422)------------------------------
% 2.88/1.92 % (27422)------------------------------
% 2.88/1.92 % (27439)Instruction limit reached!
% 2.88/1.92 % (27439)------------------------------
% 2.88/1.92 % (27439)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.92 % (27439)Termination reason: Unknown
% 2.88/1.92 % (27439)Termination phase: Property scanning
% 2.88/1.92
% 2.88/1.92 % (27439)Memory used [KB]: 3198
% 2.88/1.92 % (27439)Time elapsed: 0.051 s
% 2.88/1.92 % (27439)Instructions burned: 149 (million)
% 2.88/1.92 % (27439)------------------------------
% 2.88/1.92 % (27439)------------------------------
% 2.88/1.92 % (27441)Instruction limit reached!
% 2.88/1.92 % (27441)------------------------------
% 2.88/1.92 % (27441)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.92 % (27441)Termination reason: Unknown
% 2.88/1.93 % (27441)Termination phase: shuffling
% 2.88/1.93
% 2.88/1.93 % (27441)Memory used [KB]: 1663
% 2.88/1.93 % (27441)Time elapsed: 0.004 s
% 2.88/1.93 % (27441)Instructions burned: 6 (million)
% 2.88/1.93 % (27441)------------------------------
% 2.88/1.93 % (27441)------------------------------
% 2.88/1.93 % (27442)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_27276 for (2996ds/1087Mi)
% 2.88/1.93 % (27443)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_27276 for (2996ds/47Mi)
% 2.88/1.93 % (27444)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_27276 for (2996ds/44Mi)
% 2.88/1.95 % (27406)Instruction limit reached!
% 2.88/1.95 % (27406)------------------------------
% 2.88/1.95 % (27406)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.95 % (27406)Termination reason: Unknown
% 2.88/1.95 % (27406)Termination phase: Saturation
% 2.88/1.95
% 2.88/1.95 % (27406)Memory used [KB]: 10490
% 2.88/1.95 % (27406)Time elapsed: 0.363 s
% 2.88/1.95 % (27406)Instructions burned: 1042 (million)
% 2.88/1.95 % (27406)------------------------------
% 2.88/1.95 % (27406)------------------------------
% 2.88/1.95 % (27443)Instruction limit reached!
% 2.88/1.95 % (27443)------------------------------
% 2.88/1.95 % (27443)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.95 % (27443)Termination reason: Unknown
% 2.88/1.95 % (27443)Termination phase: Property scanning
% 2.88/1.95
% 2.88/1.95 % (27443)Memory used [KB]: 2430
% 2.88/1.95 % (27443)Time elapsed: 0.017 s
% 2.88/1.95 % (27443)Instructions burned: 48 (million)
% 2.88/1.95 % (27443)------------------------------
% 2.88/1.95 % (27443)------------------------------
% 2.88/1.95 % (27444)Instruction limit reached!
% 2.88/1.95 % (27444)------------------------------
% 2.88/1.95 % (27444)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.95 % (27444)Termination reason: Unknown
% 2.88/1.95 % (27444)Termination phase: shuffling
% 2.88/1.95
% 2.88/1.95 % (27444)Memory used [KB]: 2430
% 2.88/1.95 % (27444)Time elapsed: 0.020 s
% 2.88/1.95 % (27444)Instructions burned: 45 (million)
% 2.88/1.95 % (27444)------------------------------
% 2.88/1.95 % (27444)------------------------------
% 2.88/1.96 % (27438)Refutation not found, incomplete strategy
% 2.88/1.96 % (27438)------------------------------
% 2.88/1.96 % (27438)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.96 % (27438)Termination reason: Refutation not found, incomplete strategy
% 2.88/1.96
% 2.88/1.96
% 2.88/1.96 % (27438)Memory used [KB]: 10106
% 2.88/1.96 % (27438)Time elapsed: 0.141 s
% 2.88/1.96 % (27438)Instructions burned: 342 (million)
% 2.88/1.96 % (27438)------------------------------
% 2.88/1.96 % (27438)------------------------------
% 2.88/1.96 % (27446)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_27276 for (2995ds/62Mi)
% 2.88/1.96 % (27424)Instruction limit reached!
% 2.88/1.96 % (27424)------------------------------
% 2.88/1.96 % (27424)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.96 % (27424)Termination reason: Unknown
% 2.88/1.96 % (27424)Termination phase: Saturation
% 2.88/1.96
% 2.88/1.96 % (27424)Memory used [KB]: 9210
% 2.88/1.96 % (27424)Time elapsed: 0.299 s
% 2.88/1.96 % (27424)Instructions burned: 880 (million)
% 2.88/1.96 % (27424)------------------------------
% 2.88/1.96 % (27424)------------------------------
% 2.88/1.96 % (27445)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_27276 for (2995ds/432Mi)
% 2.88/1.97 % (27435)Instruction limit reached!
% 2.88/1.97 % (27435)------------------------------
% 2.88/1.97 % (27435)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.97 % (27435)Termination reason: Unknown
% 2.88/1.97 % (27435)Termination phase: Saturation
% 2.88/1.97
% 2.88/1.97 % (27435)Memory used [KB]: 8827
% 2.88/1.97 % (27435)Time elapsed: 0.153 s
% 2.88/1.97 % (27435)Instructions burned: 448 (million)
% 2.88/1.97 % (27435)------------------------------
% 2.88/1.97 % (27435)------------------------------
% 2.88/1.97 % (27447)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_27276 for (2995ds/31Mi)
% 2.88/1.97 % (27448)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_27276 for (2995ds/96Mi)
% 2.88/1.97 % (27449)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_27276 for (2995ds/453Mi)
% 2.88/1.98 % (27450)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_27276 for (2995ds/71Mi)
% 2.88/1.98 % (27446)Instruction limit reached!
% 2.88/1.98 % (27446)------------------------------
% 2.88/1.98 % (27446)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.98 % (27446)Termination reason: Unknown
% 2.88/1.98 % (27446)Termination phase: shuffling
% 2.88/1.98
% 2.88/1.98 % (27446)Memory used [KB]: 2814
% 2.88/1.98 % (27446)Time elapsed: 0.020 s
% 2.88/1.98 % (27446)Instructions burned: 64 (million)
% 2.88/1.98 % (27446)------------------------------
% 2.88/1.98 % (27446)------------------------------
% 2.88/1.99 % (27447)Instruction limit reached!
% 2.88/1.99 % (27447)------------------------------
% 2.88/1.99 % (27447)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/1.99 % (27447)Termination reason: Unknown
% 2.88/1.99 % (27447)Termination phase: shuffling
% 2.88/1.99
% 2.88/1.99 % (27447)Memory used [KB]: 2174
% 2.88/1.99 % (27447)Time elapsed: 0.018 s
% 2.88/1.99 % (27447)Instructions burned: 32 (million)
% 2.88/1.99 % (27447)------------------------------
% 2.88/1.99 % (27447)------------------------------
% 2.88/1.99 % (27451)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_27276 for (2995ds/83Mi)
% 2.88/2.00 % (27452)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_27276 for (2995ds/11Mi)
% 2.88/2.00 % (27452)Instruction limit reached!
% 2.88/2.00 % (27452)------------------------------
% 2.88/2.00 % (27452)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/2.00 % (27452)Termination reason: Unknown
% 2.88/2.00 % (27452)Termination phase: shuffling
% 2.88/2.00
% 2.88/2.00 % (27452)Memory used [KB]: 1791
% 2.88/2.00 % (27452)Time elapsed: 0.005 s
% 2.88/2.00 % (27452)Instructions burned: 13 (million)
% 2.88/2.00 % (27452)------------------------------
% 2.88/2.00 % (27452)------------------------------
% 2.88/2.00 % (27448)Instruction limit reached!
% 2.88/2.00 % (27448)------------------------------
% 2.88/2.00 % (27448)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/2.00 % (27448)Termination reason: Unknown
% 2.88/2.00 % (27448)Termination phase: Property scanning
% 2.88/2.00
% 2.88/2.00 % (27448)Memory used [KB]: 2942
% 2.88/2.00 % (27448)Time elapsed: 0.030 s
% 2.88/2.00 % (27448)Instructions burned: 96 (million)
% 2.88/2.00 % (27448)------------------------------
% 2.88/2.00 % (27448)------------------------------
% 2.88/2.00 % (27450)Instruction limit reached!
% 2.88/2.00 % (27450)------------------------------
% 2.88/2.00 % (27450)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/2.00 % (27450)Termination reason: Unknown
% 2.88/2.00 % (27450)Termination phase: Preprocessing 3
% 2.88/2.00
% 2.88/2.00 % (27450)Memory used [KB]: 2686
% 2.88/2.00 % (27450)Time elapsed: 0.030 s
% 2.88/2.00 % (27450)Instructions burned: 71 (million)
% 2.88/2.00 % (27450)------------------------------
% 2.88/2.00 % (27450)------------------------------
% 2.88/2.01 % (27453)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_27276 for (2995ds/41Mi)
% 2.88/2.01 % (27454)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_27276 for (2995ds/6Mi)
% 2.88/2.01 % (27454)Instruction limit reached!
% 2.88/2.01 % (27454)------------------------------
% 2.88/2.01 % (27454)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/2.01 % (27454)Termination reason: Unknown
% 2.88/2.01 % (27454)Termination phase: shuffling
% 2.88/2.01
% 2.88/2.01 % (27454)Memory used [KB]: 1663
% 2.88/2.01 % (27454)Time elapsed: 0.003 s
% 2.88/2.01 % (27454)Instructions burned: 6 (million)
% 2.88/2.01 % (27454)------------------------------
% 2.88/2.01 % (27454)------------------------------
% 2.88/2.01 % (27451)Instruction limit reached!
% 2.88/2.01 % (27451)------------------------------
% 2.88/2.01 % (27451)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/2.01 % (27451)Termination reason: Unknown
% 2.88/2.01 % (27451)Termination phase: Preprocessing 3
% 2.88/2.01
% 2.88/2.01 % (27451)Memory used [KB]: 2558
% 2.88/2.01 % (27451)Time elapsed: 0.026 s
% 2.88/2.01 % (27451)Instructions burned: 85 (million)
% 2.88/2.01 % (27451)------------------------------
% 2.88/2.01 % (27451)------------------------------
% 2.88/2.02 % (27453)Instruction limit reached!
% 2.88/2.02 % (27453)------------------------------
% 2.88/2.02 % (27453)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.88/2.02 % (27453)Termination reason: Unknown
% 2.88/2.02 % (27453)Termination phase: shuffling
% 2.88/2.02
% 2.88/2.02 % (27453)Memory used [KB]: 2430
% 2.88/2.02 % (27453)Time elapsed: 0.013 s
% 2.88/2.02 % (27453)Instructions burned: 44 (million)
% 2.88/2.02 % (27453)------------------------------
% 2.88/2.02 % (27453)------------------------------
% 2.88/2.02 % (27455)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_27276 for (2995ds/150Mi)
% 2.88/2.02 % (27456)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_27276 for (2995ds/343Mi)
% 6.12/2.03 % (27457)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_27276 for (2995ds/109Mi)
% 6.12/2.04 % (27458)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_27276 for (2995ds/253Mi)
% 6.12/2.07 % (27455)Instruction limit reached!
% 6.12/2.07 % (27455)------------------------------
% 6.12/2.07 % (27455)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.12/2.07 % (27455)Termination reason: Unknown
% 6.12/2.07 % (27455)Termination phase: Function definition elimination
% 6.12/2.07
% 6.12/2.07 % (27455)Memory used [KB]: 3326
% 6.12/2.07 % (27455)Time elapsed: 0.053 s
% 6.12/2.07 % (27455)Instructions burned: 153 (million)
% 6.12/2.07 % (27455)------------------------------
% 6.12/2.07 % (27455)------------------------------
% 6.12/2.08 % (27457)Instruction limit reached!
% 6.12/2.08 % (27457)------------------------------
% 6.12/2.08 % (27457)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.12/2.08 % (27457)Termination reason: Unknown
% 6.12/2.08 % (27457)Termination phase: Property scanning
% 6.12/2.08
% 6.12/2.08 % (27457)Memory used [KB]: 2942
% 6.12/2.08 % (27457)Time elapsed: 0.054 s
% 6.12/2.08 % (27457)Instructions burned: 110 (million)
% 6.12/2.08 % (27457)------------------------------
% 6.12/2.08 % (27457)------------------------------
% 6.12/2.08 % (27467)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_27276 for (2994ds/140Mi)
% 6.12/2.09 % (27449)Instruction limit reached!
% 6.12/2.09 % (27449)------------------------------
% 6.12/2.09 % (27449)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.12/2.09 % (27449)Termination reason: Unknown
% 6.12/2.09 % (27449)Termination phase: Saturation
% 6.12/2.09
% 6.12/2.09 % (27449)Memory used [KB]: 8955
% 6.12/2.09 % (27449)Time elapsed: 0.122 s
% 6.12/2.09 % (27449)Instructions burned: 454 (million)
% 6.12/2.09 % (27449)------------------------------
% 6.12/2.09 % (27449)------------------------------
% 6.12/2.10 % (27468)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_27276 for (2994ds/614Mi)
% 6.12/2.10 % (27458)Refutation not found, incomplete strategy
% 6.12/2.10 % (27458)------------------------------
% 6.12/2.10 % (27458)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.12/2.10 % (27458)Termination reason: Refutation not found, incomplete strategy
% 6.12/2.10
% 6.12/2.10
% 6.12/2.10 % (27458)Memory used [KB]: 8059
% 6.12/2.10 % (27458)Time elapsed: 0.067 s
% 6.12/2.10 % (27458)Instructions burned: 155 (million)
% 6.12/2.10 % (27458)------------------------------
% 6.12/2.10 % (27458)------------------------------
% 6.12/2.10 % (27469)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_27276 for (2994ds/202Mi)
% 6.12/2.11 % (27470)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_27276 for (2994ds/339Mi)
% 6.12/2.12 % (27445)Instruction limit reached!
% 6.12/2.12 % (27445)------------------------------
% 6.12/2.12 % (27445)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.12/2.12 % (27445)Termination reason: Unknown
% 6.12/2.12 % (27445)Termination phase: Saturation
% 6.12/2.12
% 6.12/2.12 % (27445)Memory used [KB]: 4733
% 6.12/2.12 % (27445)Time elapsed: 0.159 s
% 6.12/2.12 % (27445)Instructions burned: 434 (million)
% 6.12/2.12 % (27445)------------------------------
% 6.12/2.12 % (27445)------------------------------
% 6.12/2.12 % (27467)Instruction limit reached!
% 6.12/2.12 % (27467)------------------------------
% 6.12/2.12 % (27467)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.12/2.12 % (27467)Termination reason: Unknown
% 6.12/2.12 % (27467)Termination phase: Saturation
% 6.12/2.12
% 6.12/2.12 % (27467)Memory used [KB]: 7164
% 6.12/2.12 % (27467)Time elapsed: 0.043 s
% 6.12/2.12 % (27467)Instructions burned: 141 (million)
% 6.12/2.12 % (27467)------------------------------
% 6.12/2.12 % (27467)------------------------------
% 6.68/2.13 % (27469)Refutation not found, incomplete strategy
% 6.68/2.13 % (27469)------------------------------
% 6.68/2.13 % (27469)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.68/2.13 % (27469)Termination reason: Refutation not found, incomplete strategy
% 6.68/2.13
% 6.68/2.13
% 6.68/2.13 % (27469)Memory used [KB]: 6908
% 6.68/2.13 % (27469)Time elapsed: 0.023 s
% 6.68/2.13 % (27469)Instructions burned: 72 (million)
% 6.68/2.13 % (27469)------------------------------
% 6.68/2.13 % (27469)------------------------------
% 6.68/2.13 % (27471)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_27276 for (2994ds/283Mi)
% 6.68/2.13 % (27472)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_27276 for (2994ds/134Mi)
% 6.68/2.14 % (27473)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_27276 for (2994ds/298Mi)
% 6.68/2.16 % (27456)Instruction limit reached!
% 6.68/2.16 % (27456)------------------------------
% 6.68/2.16 % (27456)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.68/2.16 % (27456)Termination reason: Unknown
% 6.68/2.16 % (27456)Termination phase: Saturation
% 6.68/2.16
% 6.68/2.16 % (27456)Memory used [KB]: 8059
% 6.68/2.16 % (27456)Time elapsed: 0.135 s
% 6.68/2.16 % (27456)Instructions burned: 344 (million)
% 6.68/2.16 % (27456)------------------------------
% 6.68/2.16 % (27456)------------------------------
% 6.68/2.17 % (27472)Instruction limit reached!
% 6.68/2.17 % (27472)------------------------------
% 6.68/2.17 % (27472)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.68/2.17 % (27472)Termination reason: Unknown
% 6.68/2.17 % (27472)Termination phase: Property scanning
% 6.68/2.17
% 6.68/2.17 % (27472)Memory used [KB]: 3070
% 6.68/2.17 % (27472)Time elapsed: 0.038 s
% 6.68/2.17 % (27472)Instructions burned: 135 (million)
% 6.68/2.17 % (27472)------------------------------
% 6.68/2.17 % (27472)------------------------------
% 6.68/2.18 % (27474)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_27276 for (2993ds/192Mi)
% 6.68/2.18 % (27475)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_27276 for (2993ds/258Mi)
% 6.98/2.20 % (27471)Instruction limit reached!
% 6.98/2.20 % (27471)------------------------------
% 6.98/2.20 % (27471)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.20 % (27471)Termination reason: Unknown
% 6.98/2.20 % (27471)Termination phase: Saturation
% 6.98/2.20
% 6.98/2.20 % (27471)Memory used [KB]: 7803
% 6.98/2.20 % (27471)Time elapsed: 0.074 s
% 6.98/2.20 % (27471)Instructions burned: 286 (million)
% 6.98/2.20 % (27471)------------------------------
% 6.98/2.20 % (27471)------------------------------
% 6.98/2.21 % (27473)Instruction limit reached!
% 6.98/2.21 % (27473)------------------------------
% 6.98/2.21 % (27473)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.21 % (27473)Termination reason: Unknown
% 6.98/2.21 % (27473)Termination phase: Saturation
% 6.98/2.21
% 6.98/2.21 % (27473)Memory used [KB]: 8443
% 6.98/2.21 % (27473)Time elapsed: 0.078 s
% 6.98/2.21 % (27473)Instructions burned: 301 (million)
% 6.98/2.21 % (27473)------------------------------
% 6.98/2.21 % (27473)------------------------------
% 6.98/2.21 % (27476)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_27276 for (2993ds/90Mi)
% 6.98/2.22 % (27470)Instruction limit reached!
% 6.98/2.22 % (27470)------------------------------
% 6.98/2.22 % (27470)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.22 % (27470)Termination reason: Unknown
% 6.98/2.22 % (27470)Termination phase: Saturation
% 6.98/2.22
% 6.98/2.22 % (27470)Memory used [KB]: 7931
% 6.98/2.22 % (27470)Time elapsed: 0.103 s
% 6.98/2.22 % (27470)Instructions burned: 339 (million)
% 6.98/2.22 % (27470)------------------------------
% 6.98/2.22 % (27470)------------------------------
% 6.98/2.22 % (27477)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_27276 for (2993ds/231Mi)
% 6.98/2.23 % (27478)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_27276 for (2993ds/458Mi)
% 6.98/2.24 % (27476)Instruction limit reached!
% 6.98/2.24 % (27476)------------------------------
% 6.98/2.24 % (27476)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.24 % (27476)Termination reason: Unknown
% 6.98/2.24 % (27476)Termination phase: Property scanning
% 6.98/2.24
% 6.98/2.24 % (27476)Memory used [KB]: 2942
% 6.98/2.24 % (27476)Time elapsed: 0.029 s
% 6.98/2.24 % (27476)Instructions burned: 91 (million)
% 6.98/2.24 % (27476)------------------------------
% 6.98/2.24 % (27476)------------------------------
% 6.98/2.25 % (27475)Instruction limit reached!
% 6.98/2.25 % (27475)------------------------------
% 6.98/2.25 % (27475)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.25 % (27475)Termination reason: Unknown
% 6.98/2.25 % (27475)Termination phase: Function definition elimination
% 6.98/2.25
% 6.98/2.25 % (27475)Memory used [KB]: 2814
% 6.98/2.25 % (27475)Time elapsed: 0.066 s
% 6.98/2.25 % (27475)Instructions burned: 260 (million)
% 6.98/2.25 % (27475)------------------------------
% 6.98/2.25 % (27475)------------------------------
% 6.98/2.25 % (27479)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_27276 for (2993ds/31Mi)
% 6.98/2.26 % (27480)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_27276 for (2993ds/297Mi)
% 6.98/2.26 % (27474)Instruction limit reached!
% 6.98/2.26 % (27474)------------------------------
% 6.98/2.26 % (27474)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.26 % (27474)Termination reason: Unknown
% 6.98/2.26 % (27474)Termination phase: Property scanning
% 6.98/2.26
% 6.98/2.26 % (27474)Memory used [KB]: 3070
% 6.98/2.26 % (27479)Instruction limit reached!
% 6.98/2.26 % (27479)------------------------------
% 6.98/2.26 % (27479)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.26 % (27474)Time elapsed: 0.086 s
% 6.98/2.26 % (27474)Instructions burned: 192 (million)
% 6.98/2.26 % (27474)------------------------------
% 6.98/2.26 % (27474)------------------------------
% 6.98/2.26 % (27479)Termination reason: Unknown
% 6.98/2.26 % (27479)Termination phase: shuffling
% 6.98/2.26
% 6.98/2.26 % (27479)Memory used [KB]: 2174
% 6.98/2.26 % (27479)Time elapsed: 0.011 s
% 6.98/2.26 % (27479)Instructions burned: 31 (million)
% 6.98/2.26 % (27479)------------------------------
% 6.98/2.26 % (27479)------------------------------
% 6.98/2.27 % (27481)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_27276 for (2992ds/987Mi)
% 6.98/2.27 % (27468)Instruction limit reached!
% 6.98/2.27 % (27468)------------------------------
% 6.98/2.27 % (27468)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.27 % (27468)Termination reason: Unknown
% 6.98/2.27 % (27468)Termination phase: Saturation
% 6.98/2.27
% 6.98/2.27 % (27468)Memory used [KB]: 8571
% 6.98/2.27 % (27468)Time elapsed: 0.175 s
% 6.98/2.27 % (27468)Instructions burned: 614 (million)
% 6.98/2.27 % (27468)------------------------------
% 6.98/2.27 % (27468)------------------------------
% 6.98/2.28 % (27482)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_27276 for (2992ds/182Mi)
% 6.98/2.28 % (27477)Instruction limit reached!
% 6.98/2.28 % (27477)------------------------------
% 6.98/2.28 % (27477)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.28 % (27477)Termination reason: Unknown
% 6.98/2.28 % (27477)Termination phase: Property scanning
% 6.98/2.28
% 6.98/2.28 % (27477)Memory used [KB]: 3198
% 6.98/2.28 % (27477)Time elapsed: 0.060 s
% 6.98/2.28 % (27477)Instructions burned: 232 (million)
% 6.98/2.28 % (27477)------------------------------
% 6.98/2.28 % (27477)------------------------------
% 6.98/2.28 % (27483)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_27276 for (2992ds/182Mi)
% 6.98/2.29 % (27484)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_27276 for (2992ds/154Mi)
% 7.85/2.33 % (27482)Instruction limit reached!
% 7.85/2.33 % (27482)------------------------------
% 7.85/2.33 % (27482)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.85/2.33 % (27482)Termination reason: Unknown
% 7.85/2.33 % (27482)Termination phase: Property scanning
% 7.85/2.33
% 7.85/2.33 % (27482)Memory used [KB]: 3198
% 7.85/2.33 % (27482)Time elapsed: 0.049 s
% 7.85/2.33 % (27482)Instructions burned: 185 (million)
% 7.85/2.33 % (27482)------------------------------
% 7.85/2.33 % (27482)------------------------------
% 7.85/2.33 % (27483)Instruction limit reached!
% 7.85/2.33 % (27483)------------------------------
% 7.85/2.33 % (27483)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.85/2.33 % (27483)Termination reason: Unknown
% 7.85/2.33 % (27483)Termination phase: Saturation
% 7.85/2.33
% 7.85/2.33 % (27483)Memory used [KB]: 7675
% 7.85/2.33 % (27483)Time elapsed: 0.050 s
% 7.85/2.33 % (27483)Instructions burned: 182 (million)
% 7.85/2.33 % (27483)------------------------------
% 7.85/2.33 % (27483)------------------------------
% 7.85/2.34 % (27480)Instruction limit reached!
% 7.85/2.34 % (27480)------------------------------
% 7.85/2.34 % (27480)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.85/2.34 % (27480)Termination reason: Unknown
% 7.85/2.34 % (27480)Termination phase: Saturation
% 7.85/2.34
% 7.85/2.34 % (27480)Memory used [KB]: 8699
% 7.85/2.34 % (27480)Time elapsed: 0.083 s
% 7.85/2.34 % (27480)Instructions burned: 297 (million)
% 7.85/2.34 % (27480)------------------------------
% 7.85/2.34 % (27480)------------------------------
% 7.85/2.34 % (27442)Instruction limit reached!
% 7.85/2.34 % (27442)------------------------------
% 7.85/2.34 % (27442)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.85/2.34 % (27442)Termination reason: Unknown
% 7.85/2.34 % (27442)Termination phase: Saturation
% 7.85/2.34
% 7.85/2.34 % (27442)Memory used [KB]: 8699
% 7.85/2.34 % (27442)Time elapsed: 0.408 s
% 7.85/2.34 % (27442)Instructions burned: 1089 (million)
% 7.85/2.34 % (27442)------------------------------
% 7.85/2.34 % (27442)------------------------------
% 7.85/2.34 % (27486)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_27276 for (2992ds/216Mi)
% 7.85/2.34 % (27485)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_27276 for (2992ds/79Mi)
% 7.85/2.34 % (27484)Instruction limit reached!
% 7.85/2.34 % (27484)------------------------------
% 7.85/2.34 % (27484)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.85/2.34 % (27484)Termination reason: Unknown
% 7.85/2.34 % (27484)Termination phase: Function definition elimination
% 7.85/2.34
% 7.85/2.34 % (27484)Memory used [KB]: 2942
% 7.85/2.34 % (27484)Time elapsed: 0.053 s
% 7.85/2.34 % (27484)Instructions burned: 154 (million)
% 7.85/2.34 % (27484)------------------------------
% 7.85/2.34 % (27484)------------------------------
% 7.85/2.35 % (27488)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_27276 for (2992ds/922Mi)
% 7.85/2.35 % (27487)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_27276 for (2992ds/114Mi)
% 7.85/2.36 % (27489)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_27276 for (2992ds/182Mi)
% 7.85/2.37 % (27485)Instruction limit reached!
% 7.85/2.37 % (27485)------------------------------
% 7.85/2.37 % (27485)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.85/2.37 % (27485)Termination reason: Unknown
% 7.85/2.37 % (27485)Termination phase: Preprocessing 3
% 7.85/2.37
% 7.85/2.37 % (27485)Memory used [KB]: 2814
% 7.85/2.37 % (27485)Time elapsed: 0.024 s
% 7.85/2.37 % (27485)Instructions burned: 79 (million)
% 7.85/2.37 % (27485)------------------------------
% 7.85/2.37 % (27485)------------------------------
% 7.85/2.38 % (27490)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_27276 for (2991ds/164Mi)
% 7.85/2.38 % (27478)Instruction limit reached!
% 7.85/2.38 % (27478)------------------------------
% 7.85/2.38 % (27478)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.85/2.38 % (27478)Termination reason: Unknown
% 7.85/2.38 % (27478)Termination phase: Saturation
% 7.85/2.38
% 7.85/2.38 % (27478)Memory used [KB]: 8699
% 7.85/2.38 % (27478)Time elapsed: 0.154 s
% 7.85/2.38 % (27478)Instructions burned: 459 (million)
% 7.85/2.38 % (27478)------------------------------
% 7.85/2.38 % (27478)------------------------------
% 7.85/2.39 % (27491)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_27276 for (2991ds/50Mi)
% 7.85/2.39 % (27487)Instruction limit reached!
% 7.85/2.39 % (27487)------------------------------
% 7.85/2.39 % (27487)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.85/2.39 % (27487)Termination reason: Unknown
% 7.85/2.39 % (27487)Termination phase: Function definition elimination
% 7.85/2.39
% 7.85/2.39 % (27487)Memory used [KB]: 2942
% 7.85/2.39 % (27487)Time elapsed: 0.042 s
% 7.85/2.39 % (27487)Instructions burned: 115 (million)
% 7.85/2.39 % (27487)------------------------------
% 7.85/2.39 % (27487)------------------------------
% 7.85/2.39 % (27486)Instruction limit reached!
% 7.85/2.39 % (27486)------------------------------
% 7.85/2.39 % (27486)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.85/2.39 % (27486)Termination reason: Unknown
% 7.85/2.39 % (27486)Termination phase: Property scanning
% 7.85/2.39
% 7.85/2.39 % (27486)Memory used [KB]: 3198
% 7.85/2.39 % (27486)Time elapsed: 0.056 s
% 7.85/2.39 % (27486)Instructions burned: 217 (million)
% 7.85/2.39 % (27486)------------------------------
% 7.85/2.39 % (27486)------------------------------
% 8.50/2.40 % (27492)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_27276 for (2991ds/368Mi)
% 8.50/2.40 % (27493)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_27276 for (2991ds/1021Mi)
% 8.50/2.41 % (27491)Instruction limit reached!
% 8.50/2.41 % (27491)------------------------------
% 8.50/2.41 % (27491)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.50/2.41 % (27491)Termination reason: Unknown
% 8.50/2.41 % (27491)Termination phase: shuffling
% 8.50/2.41
% 8.50/2.41 % (27491)Memory used [KB]: 2558
% 8.50/2.41 % (27491)Time elapsed: 0.017 s
% 8.50/2.41 % (27491)Instructions burned: 50 (million)
% 8.50/2.41 % (27491)------------------------------
% 8.50/2.41 % (27491)------------------------------
% 8.50/2.41 % (27489)Instruction limit reached!
% 8.50/2.41 % (27489)------------------------------
% 8.50/2.41 % (27489)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.50/2.41 % (27489)Termination reason: Unknown
% 8.50/2.41 % (27489)Termination phase: Property scanning
% 8.50/2.41
% 8.50/2.41 % (27489)Memory used [KB]: 3198
% 8.50/2.41 % (27489)Time elapsed: 0.054 s
% 8.50/2.41 % (27489)Instructions burned: 183 (million)
% 8.50/2.41 % (27489)------------------------------
% 8.50/2.41 % (27489)------------------------------
% 8.50/2.42 % (27495)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_27276 for (2991ds/204Mi)
% 8.50/2.42 % (27494)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_27276 for (2991ds/267Mi)
% 8.50/2.42 % (27490)Instruction limit reached!
% 8.50/2.42 % (27490)------------------------------
% 8.50/2.42 % (27490)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.50/2.42 % (27490)Termination reason: Unknown
% 8.50/2.42 % (27490)Termination phase: Property scanning
% 8.50/2.42
% 8.50/2.42 % (27490)Memory used [KB]: 2942
% 8.50/2.42 % (27490)Time elapsed: 0.049 s
% 8.50/2.42 % (27490)Instructions burned: 167 (million)
% 8.50/2.42 % (27490)------------------------------
% 8.50/2.42 % (27490)------------------------------
% 8.50/2.43 % (27496)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_27276 for (2991ds/26Mi)
% 8.50/2.44 % (27496)Instruction limit reached!
% 8.50/2.44 % (27496)------------------------------
% 8.50/2.44 % (27496)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.50/2.44 % (27496)Termination reason: Unknown
% 8.50/2.44 % (27496)Termination phase: shuffling
% 8.50/2.44
% 8.50/2.44 % (27496)Memory used [KB]: 2174
% 8.50/2.44 % (27496)Time elapsed: 0.009 s
% 8.50/2.44 % (27496)Instructions burned: 28 (million)
% 8.50/2.44 % (27496)------------------------------
% 8.50/2.44 % (27496)------------------------------
% 8.50/2.45 % (27497)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_27276 for (2990ds/53Mi)
% 8.50/2.46 % (27488)First to succeed.
% 8.50/2.47 % (27497)Instruction limit reached!
% 8.50/2.47 % (27497)------------------------------
% 8.50/2.47 % (27497)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.50/2.47 % (27497)Termination reason: Unknown
% 8.50/2.47 % (27497)Termination phase: shuffling
% 8.50/2.47
% 8.50/2.47 % (27497)Memory used [KB]: 2814
% 8.50/2.47 % (27497)Time elapsed: 0.016 s
% 8.50/2.47 % (27497)Instructions burned: 55 (million)
% 8.50/2.47 % (27497)------------------------------
% 8.50/2.47 % (27497)------------------------------
% 8.50/2.47 % (27488)Refutation found. Thanks to Tanya!
% 8.50/2.47 % SZS status Theorem for DTF2THF_27276
% 8.50/2.47 % SZS output start Proof for DTF2THF_27276
% 8.50/2.47 thf(type_def_5, type, cars: $tType).
% 8.50/2.47 thf(type_def_6, type, real: $tType).
% 8.50/2.47 thf(type_def_8, type, nat_int: $tType).
% 8.50/2.47 thf(type_def_9, type, product_unit: $tType).
% 8.50/2.47 thf(type_def_10, type, traffic: $tType).
% 8.50/2.47 thf(type_def_11, type, view_e774982825t_unit: $tType).
% 8.50/2.47 thf(type_def_12, type, nat: $tType).
% 8.50/2.47 thf(type_def_13, type, real_int: $tType).
% 8.50/2.47 thf(type_def_14, type, view_ext_nat_int: $tType).
% 8.50/2.47 thf(type_def_15, type, view_ext_nat: $tType).
% 8.50/2.47 thf(type_def_16, type, view_ext_real_int: $tType).
% 8.50/2.47 thf(type_def_17, type, view_e665166499t_unit: $tType).
% 8.50/2.47 thf(func_def_0, type, view_e665166499t_unit: $tType).
% 8.50/2.47 thf(func_def_1, type, view_e774982825t_unit: $tType).
% 8.50/2.47 thf(func_def_2, type, view_ext_real_int: $tType).
% 8.50/2.47 thf(func_def_3, type, view_ext_nat_int: $tType).
% 8.50/2.47 thf(func_def_4, type, view_ext_nat: $tType).
% 8.50/2.47 thf(func_def_5, type, product_unit: $tType).
% 8.50/2.47 thf(func_def_6, type, real_int: $tType).
% 8.50/2.47 thf(func_def_7, type, nat_int: $tType).
% 8.50/2.47 thf(func_def_8, type, traffic: $tType).
% 8.50/2.47 thf(func_def_9, type, real: $tType).
% 8.50/2.47 thf(func_def_10, type, cars: $tType).
% 8.50/2.47 thf(func_def_11, type, nat: $tType).
% 8.50/2.47 thf(func_def_12, type, fun_up1431237090l_real: (cars > real > real) > cars > (real > real) > cars > real > real).
% 8.50/2.47 thf(func_def_13, type, fun_upd_cars_nat_int: (cars > nat_int) > cars > nat_int > cars > nat_int).
% 8.50/2.47 thf(func_def_14, type, minus_minus_real: real > real > real).
% 8.50/2.47 thf(func_def_15, type, defaul1399868459t_unit: product_unit).
% 8.50/2.47 thf(func_def_16, type, if_real_real: $o > (real > real) > (real > real) > real > real).
% 8.50/2.47 thf(func_def_17, type, if_nat_int: $o > nat_int > nat_int > nat_int).
% 8.50/2.47 thf(func_def_18, type, move: traffic > traffic > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_19, type, nat_N_Chop: nat_int > nat_int > nat_int > $o).
% 8.50/2.47 thf(func_def_20, type, nat_card: nat_int > nat).
% 8.50/2.47 thf(func_def_21, type, nat_consec: nat_int > nat_int > $o).
% 8.50/2.47 thf(func_def_22, type, nat_not_in: nat > nat_int > $o).
% 8.50/2.47 thf(func_def_23, type, nat_union: nat_int > nat_int > nat_int).
% 8.50/2.47 thf(func_def_24, type, bot_bot_nat_int: nat_int).
% 8.50/2.47 thf(func_def_25, type, bot_bot_nat: nat).
% 8.50/2.47 thf(func_def_26, type, bot_bot_Product_unit: product_unit).
% 8.50/2.47 thf(func_def_27, type, ord_less_nat_int: nat_int > nat_int > $o).
% 8.50/2.47 thf(func_def_28, type, ord_less_nat: nat > nat > $o).
% 8.50/2.47 thf(func_def_29, type, ord_less_real_int: real_int > real_int > $o).
% 8.50/2.47 thf(func_def_30, type, ord_le893810930at_int: view_ext_nat_int > view_ext_nat_int > $o).
% 8.50/2.47 thf(func_def_31, type, ord_le1522419062xt_nat: view_ext_nat > view_ext_nat > $o).
% 8.50/2.47 thf(func_def_32, type, ord_le1993783549t_unit: view_e774982825t_unit > view_e774982825t_unit > $o).
% 8.50/2.47 thf(func_def_33, type, ord_le147108278al_int: view_ext_real_int > view_ext_real_int > $o).
% 8.50/2.47 thf(func_def_34, type, ord_le750644047t_unit: view_e665166499t_unit > view_e665166499t_unit > $o).
% 8.50/2.47 thf(func_def_35, type, ord_less_eq_nat_int: nat_int > nat_int > $o).
% 8.50/2.47 thf(func_def_36, type, ord_less_eq_nat: nat > nat > $o).
% 8.50/2.47 thf(func_def_37, type, ord_le1997193645t_unit: product_unit > product_unit > $o).
% 8.50/2.47 thf(func_def_38, type, ord_less_eq_real_int: real_int > real_int > $o).
% 8.50/2.47 thf(func_def_39, type, ord_less_eq_real: real > real > $o).
% 8.50/2.47 thf(func_def_40, type, ord_le1902160870at_int: view_ext_nat_int > view_ext_nat_int > $o).
% 8.50/2.47 thf(func_def_41, type, ord_le1036425834xt_nat: view_ext_nat > view_ext_nat > $o).
% 8.50/2.47 thf(func_def_42, type, ord_le461438217t_unit: view_e774982825t_unit > view_e774982825t_unit > $o).
% 8.50/2.47 thf(func_def_43, type, ord_le1863101098al_int: view_ext_real_int > view_ext_real_int > $o).
% 8.50/2.47 thf(func_def_44, type, ord_le63244867t_unit: view_e665166499t_unit > view_e665166499t_unit > $o).
% 8.50/2.47 thf(func_def_45, type, product_Unity: product_unit).
% 8.50/2.47 thf(func_def_46, type, real_R_Chop: real_int > real_int > real_int > $o).
% 8.50/2.47 thf(func_def_47, type, real_shift: real_int > real > real_int).
% 8.50/2.47 thf(func_def_48, type, abstract: traffic > traffic > $o).
% 8.50/2.47 thf(func_def_49, type, braking_distance: traffic > cars > real).
% 8.50/2.47 thf(func_def_50, type, change_dyn: traffic > cars > (real > real) > traffic > $o).
% 8.50/2.47 thf(func_def_51, type, clm: traffic > cars > nat_int).
% 8.50/2.47 thf(func_def_52, type, create_claim: traffic > cars > nat > traffic > $o).
% 8.50/2.47 thf(func_def_53, type, create_reservation: traffic > cars > traffic > $o).
% 8.50/2.47 thf(func_def_54, type, dyn: traffic > cars > real > real).
% 8.50/2.47 thf(func_def_55, type, evolve: traffic > traffic > $o).
% 8.50/2.47 thf(func_def_56, type, physical_size: traffic > cars > real).
% 8.50/2.47 thf(func_def_57, type, pos: traffic > cars > real).
% 8.50/2.47 thf(func_def_58, type, res: traffic > cars > nat_int).
% 8.50/2.47 thf(func_def_59, type, withdraw_claim: traffic > cars > traffic > $o).
% 8.50/2.47 thf(func_def_60, type, withdraw_reservation: traffic > cars > nat > traffic > $o).
% 8.50/2.47 thf(func_def_61, type, ext_nat_int: view_ext_nat_int > real_int).
% 8.50/2.47 thf(func_def_62, type, ext_nat: view_ext_nat > real_int).
% 8.50/2.47 thf(func_def_63, type, ext_Product_unit: view_e774982825t_unit > real_int).
% 8.50/2.47 thf(func_def_64, type, ext_real_int: view_ext_real_int > real_int).
% 8.50/2.47 thf(func_def_65, type, ext_vi2102772532t_unit: view_e665166499t_unit > real_int).
% 8.50/2.47 thf(func_def_66, type, hchop: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > $o).
% 8.50/2.47 thf(func_def_67, type, lan_nat_int: view_ext_nat_int > nat_int).
% 8.50/2.47 thf(func_def_68, type, lan_nat: view_ext_nat > nat_int).
% 8.50/2.47 thf(func_def_69, type, lan_Product_unit: view_e774982825t_unit > nat_int).
% 8.50/2.47 thf(func_def_70, type, lan_real_int: view_ext_real_int > nat_int).
% 8.50/2.47 thf(func_def_71, type, lan_vi1543476748t_unit: view_e665166499t_unit > nat_int).
% 8.50/2.47 thf(func_def_72, type, more_nat_int: view_ext_nat_int > nat_int).
% 8.50/2.47 thf(func_def_73, type, more_nat: view_ext_nat > nat).
% 8.50/2.47 thf(func_def_74, type, more_Product_unit: view_e774982825t_unit > product_unit).
% 8.50/2.47 thf(func_def_75, type, more_real_int: view_ext_real_int > real_int).
% 8.50/2.47 thf(func_def_76, type, more_v92543030t_unit: view_e665166499t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_77, type, own_nat_int: view_ext_nat_int > cars).
% 8.50/2.47 thf(func_def_78, type, own_nat: view_ext_nat > cars).
% 8.50/2.47 thf(func_def_79, type, own_Product_unit: view_e774982825t_unit > cars).
% 8.50/2.47 thf(func_def_80, type, own_real_int: view_ext_real_int > cars).
% 8.50/2.47 thf(func_def_81, type, own_vi676290681t_unit: view_e665166499t_unit > cars).
% 8.50/2.47 thf(func_def_82, type, switch: view_e774982825t_unit > cars > view_e774982825t_unit > $o).
% 8.50/2.47 thf(func_def_83, type, view_e912666823t_unit: real_int > nat_int > cars > product_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_84, type, ts: traffic).
% 8.50/2.47 thf(func_def_85, type, ts2: traffic).
% 8.50/2.47 thf(func_def_86, type, ts_a: traffic).
% 8.50/2.47 thf(func_def_87, type, ts3: traffic).
% 8.50/2.47 thf(func_def_88, type, v: view_e774982825t_unit).
% 8.50/2.47 thf(func_def_102, type, sP0: view_e774982825t_unit > (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > $o).
% 8.50/2.47 thf(func_def_103, type, sP1: (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > view_e774982825t_unit > $o).
% 8.50/2.47 thf(func_def_104, type, sP2: (traffic > view_e774982825t_unit > $o) > cars > (traffic > view_e774982825t_unit > $o) > traffic > view_e774982825t_unit > $o).
% 8.50/2.47 thf(func_def_105, type, sP3: (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > view_e774982825t_unit > cars > $o).
% 8.50/2.47 thf(func_def_106, type, sP4: view_e774982825t_unit > (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > cars > $o).
% 8.50/2.47 thf(func_def_107, type, sP5: (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > view_e774982825t_unit > $o).
% 8.50/2.47 thf(func_def_108, type, sP6: (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > view_e774982825t_unit > $o).
% 8.50/2.47 thf(func_def_109, type, sK7: (nat_int > nat_int) > nat_int).
% 8.50/2.47 thf(func_def_110, type, sK8: (nat_int > nat_int) > nat_int).
% 8.50/2.47 thf(func_def_111, type, sK9: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_112, type, sK10: view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_113, type, sK11: (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_114, type, sK12: (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_115, type, sK13: view_e774982825t_unit > (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_116, type, sK14: view_e774982825t_unit > (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_117, type, sK15: (traffic > view_e774982825t_unit > $o) > traffic > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_118, type, sK16: (traffic > view_e774982825t_unit > $o) > traffic > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_119, type, sK17: view_e774982825t_unit > cars > traffic > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_120, type, sK18: view_e774982825t_unit > cars > traffic > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_121, type, sK19: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_122, type, sK20: view_e774982825t_unit > cars > (traffic > view_e774982825t_unit > $o) > traffic > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_123, type, sK21: view_e774982825t_unit > (traffic > view_e774982825t_unit > $o) > cars > traffic > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_124, type, sK22: view_e774982825t_unit > (traffic > view_e774982825t_unit > $o) > traffic > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_125, type, sK23: view_e774982825t_unit > (traffic > view_e774982825t_unit > $o) > traffic > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_126, type, sK24: (nat_int > nat_int) > nat_int).
% 8.50/2.47 thf(func_def_127, type, sK25: (nat_int > nat_int) > nat_int).
% 8.50/2.47 thf(func_def_128, type, sK26: traffic > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > traffic).
% 8.50/2.47 thf(func_def_129, type, sK27: (nat_int > view_e774982825t_unit) > nat_int).
% 8.50/2.47 thf(func_def_130, type, sK28: (nat_int > view_e774982825t_unit) > nat_int).
% 8.50/2.47 thf(func_def_131, type, sK29: view_e774982825t_unit > (traffic > view_e774982825t_unit > $o) > traffic > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_132, type, sK30: view_e774982825t_unit > (traffic > view_e774982825t_unit > $o) > traffic > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_133, type, sK31: view_e774982825t_unit > (traffic > view_e774982825t_unit > $o) > traffic > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_134, type, sK32: view_e774982825t_unit > (traffic > view_e774982825t_unit > $o) > traffic > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_135, type, sK33: (traffic > view_e774982825t_unit > $o) > traffic > view_e774982825t_unit > cars > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_136, type, sK34: (traffic > view_e774982825t_unit > $o) > traffic > view_e774982825t_unit > cars > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_137, type, sK35: cars > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > traffic > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_138, type, sK36: traffic > view_e774982825t_unit > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_139, type, sK37: traffic > view_e774982825t_unit > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_140, type, sK38: traffic > view_e774982825t_unit > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_141, type, sK39: traffic > view_e774982825t_unit > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_142, type, sK40: traffic > cars > traffic).
% 8.50/2.47 thf(func_def_143, type, sK41: (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > traffic > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_144, type, sK42: (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > traffic > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_145, type, sK43: view_e774982825t_unit > (traffic > view_e774982825t_unit > $o) > cars > traffic > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_146, type, sK44: view_e774982825t_unit > (traffic > view_e774982825t_unit > $o) > cars > traffic > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_147, type, sK45: (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_148, type, sK46: (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_149, type, sK47: (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_150, type, sK48: (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_151, type, sK49: (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_152, type, sK50: (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_153, type, sK51: (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_154, type, sK52: (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_155, type, sK53: (traffic > view_e774982825t_unit > $o) > traffic > cars > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_156, type, sK54: (traffic > view_e774982825t_unit > $o) > traffic > cars > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_157, type, sK55: (traffic > view_e774982825t_unit > $o) > cars > traffic > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_158, type, sK56: (traffic > view_e774982825t_unit > $o) > cars > traffic > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_159, type, sK57: (traffic > view_e774982825t_unit > $o) > cars > traffic > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_160, type, sK58: view_e774982825t_unit > cars > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_161, type, sK59: cars > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_162, type, sK60: cars > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_163, type, sK61: view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_164, type, sK62: view_e774982825t_unit > cars > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_165, type, sK63: view_e774982825t_unit > cars > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_166, type, sK64: view_e774982825t_unit > cars).
% 8.50/2.47 thf(func_def_167, type, sK65: view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_168, type, sK66: view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_169, type, sK67: view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_170, type, sK68: cars).
% 8.50/2.47 thf(func_def_171, type, sK69: (traffic > view_e774982825t_unit > $o) > cars > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > traffic > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_172, type, sK70: (traffic > view_e774982825t_unit > $o) > cars > view_e774982825t_unit > traffic > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_173, type, sK71: cars > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > traffic > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_174, type, sK72: (nat_int > view_e774982825t_unit) > nat_int).
% 8.50/2.47 thf(func_def_175, type, sK73: (nat_int > view_e774982825t_unit) > nat_int).
% 8.50/2.47 thf(func_def_176, type, sK74: (nat_int > nat_int) > nat_int).
% 8.50/2.47 thf(func_def_177, type, sK75: (nat_int > nat_int) > nat_int).
% 8.50/2.47 thf(func_def_178, type, sK76: (view_e774982825t_unit > nat_int) > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_179, type, sK77: (view_e774982825t_unit > nat_int) > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_180, type, sK78: (nat_int > nat_int) > nat_int).
% 8.50/2.47 thf(func_def_181, type, sK79: (nat_int > nat_int) > nat_int).
% 8.50/2.47 thf(func_def_182, type, sK80: view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_183, type, sK81: view_e774982825t_unit > traffic > (traffic > view_e774982825t_unit > $o) > cars > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_184, type, sK82: view_e774982825t_unit > traffic > (traffic > view_e774982825t_unit > $o) > cars > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_185, type, sK83: (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > traffic > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_186, type, sK84: (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > traffic > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_187, type, sK85: (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > traffic > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_188, type, sK86: (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > traffic > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_189, type, sK87: (traffic > view_e774982825t_unit > $o) > traffic > view_e774982825t_unit > traffic).
% 8.50/2.47 thf(func_def_190, type, sK88: cars > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_191, type, sK89: view_e774982825t_unit > (traffic > view_e774982825t_unit > $o) > traffic > cars > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_192, type, sK90: view_e774982825t_unit > (traffic > view_e774982825t_unit > $o) > traffic > cars > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_193, type, sK91: view_e774982825t_unit > (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > cars > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_194, type, sK92: view_e774982825t_unit > (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > cars > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_195, type, sK93: traffic > (traffic > view_e774982825t_unit > $o) > cars > view_e774982825t_unit > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_196, type, sK94: view_e774982825t_unit > traffic > (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_197, type, sK95: view_e774982825t_unit > traffic > (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_198, type, sK96: (nat_int > view_e774982825t_unit) > nat_int).
% 8.50/2.47 thf(func_def_199, type, sK97: (nat_int > view_e774982825t_unit) > nat_int).
% 8.50/2.47 thf(func_def_200, type, sK98: traffic > view_e774982825t_unit > (traffic > view_e774982825t_unit > $o) > cars).
% 8.50/2.47 thf(func_def_201, type, sK99: (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_202, type, sK100: (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_203, type, sK101: (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_204, type, sK102: (traffic > view_e774982825t_unit > $o) > (traffic > view_e774982825t_unit > $o) > traffic > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_205, type, sK103: (traffic > view_e774982825t_unit > $o) > traffic > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_206, type, sK104: (traffic > view_e774982825t_unit > $o) > traffic > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_207, type, sK105: (traffic > view_e774982825t_unit > $o) > traffic > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_208, type, sK106: (traffic > view_e774982825t_unit > $o) > traffic > view_e774982825t_unit > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_209, type, sK107: view_e774982825t_unit > cars > traffic > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_210, type, sK108: view_e774982825t_unit > cars > traffic > (traffic > view_e774982825t_unit > $o) > view_e774982825t_unit).
% 8.50/2.47 thf(func_def_212, type, ph110: !>[X0: $tType]:(X0)).
% 8.50/2.47 thf(f1995,plain,(
% 8.50/2.47 $false),
% 8.50/2.47 inference(avatar_sat_refutation,[status(thm)],[f1534,f1539,f1549,f1554,f1988,f1994])).
% 8.50/2.47 thf(f1994,plain,(
% 8.50/2.47 ~spl109_4 | spl109_10),
% 8.50/2.47 inference(avatar_contradiction_clause,[status(thm)],[f1993])).
% 8.50/2.47 thf(f1993,plain,(
% 8.50/2.47 $false | (~spl109_4 | spl109_10)),
% 8.50/2.47 inference(subsumption_resolution,[status(thm)],[f1992,f1392])).
% 8.50/2.47 thf(f1392,plain,(
% 8.50/2.47 ( ! [X0 : traffic] : (((abstract @ X0 @ X0) = $true)) )),
% 8.50/2.47 inference(cnf_transformation,[status(thm)],[f924])).
% 8.50/2.47 thf(f924,plain,(
% 8.50/2.47 ! [X0 : traffic] : ((abstract @ X0 @ X0) = $true)),
% 8.50/2.47 inference(fool_elimination,[status(thm)],[f923])).
% 8.50/2.47 thf(f923,plain,(
% 8.50/2.47 ! [X0 : traffic] : (abstract @ X0 @ X0)),
% 8.50/2.47 inference(rectify,[status(thm)],[f38])).
% 8.50/2.47 thf(f38,axiom,(
% 8.50/2.47 ! [X7 : traffic] : (abstract @ X7 @ X7)),
% 8.50/2.47 file('/export/starexec/sandbox2/tmp/tmp.uW4OZqnaXn/DTF2THF_27276.p',fact_37_traffic_Oabstract_Orefl)).
% 8.50/2.47 thf(f1992,plain,(
% 8.50/2.47 ((abstract @ ts_a @ ts_a) != $true) | (~spl109_4 | spl109_10)),
% 8.50/2.47 inference(trivial_inequality_removal,[status(thm)],[f1989])).
% 8.50/2.47 thf(f1989,plain,(
% 8.50/2.47 ((abstract @ ts_a @ ts_a) != $true) | ($true != $true) | (~spl109_4 | spl109_10)),
% 8.50/2.47 inference(superposition,[status(thm)],[f1980,f1641])).
% 8.50/2.47 thf(f1641,plain,(
% 8.50/2.47 ( ! [X0 : traffic] : (((abstract @ X0 @ ts) = $true) | ((abstract @ X0 @ ts_a) != $true)) ) | ~spl109_4),
% 8.50/2.47 inference(trivial_inequality_removal,[status(thm)],[f1639])).
% 8.50/2.47 thf(f1639,plain,(
% 8.50/2.47 ( ! [X0 : traffic] : (((abstract @ X0 @ ts) = $true) | ($true != $true) | ((abstract @ X0 @ ts_a) != $true)) ) | ~spl109_4),
% 8.50/2.47 inference(superposition,[status(thm)],[f1356,f1548])).
% 8.50/2.47 thf(f1548,plain,(
% 8.50/2.47 ((create_reservation @ ts_a @ sK68 @ ts) = $true) | ~spl109_4),
% 8.50/2.47 inference(avatar_component_clause,[status(thm)],[f1546])).
% 8.50/2.47 thf(f1546,definition,(
% 8.50/2.47 spl109_4 <=> ((create_reservation @ ts_a @ sK68 @ ts) = $true)),
% 8.50/2.47 introduced(definition,[new_symbols(naming,[spl109_4])],[avatar_definition])).
% 8.50/2.47 thf(f1356,plain,(
% 8.50/2.47 ( ! [X2 : traffic,X3 : cars,X0 : traffic,X1 : traffic] : (((create_reservation @ X0 @ X3 @ X2) != $true) | ((abstract @ X1 @ X0) != $true) | ((abstract @ X1 @ X2) = $true)) )),
% 8.50/2.47 inference(cnf_transformation,[status(thm)],[f1120])).
% 8.50/2.47 thf(f1120,plain,(
% 8.50/2.47 ! [X0 : traffic,X1 : traffic,X2 : traffic] : (! [X3 : cars] : ((create_reservation @ X0 @ X3 @ X2) != $true) | ((abstract @ X1 @ X0) != $true) | ((abstract @ X1 @ X2) = $true))),
% 8.50/2.47 inference(flattening,[status(thm)],[f1119])).
% 8.50/2.47 thf(f1119,plain,(
% 8.50/2.47 ! [X0 : traffic,X1 : traffic,X2 : traffic] : ((((abstract @ X1 @ X2) = $true) | ! [X3 : cars] : ((create_reservation @ X0 @ X3 @ X2) != $true)) | ((abstract @ X1 @ X0) != $true))),
% 8.50/2.47 inference(ennf_transformation,[status(thm)],[f598])).
% 8.50/2.47 thf(f598,plain,(
% 8.50/2.47 ! [X0 : traffic,X1 : traffic,X2 : traffic] : (((abstract @ X1 @ X0) = $true) => (? [X3 : cars] : ((create_reservation @ X0 @ X3 @ X2) = $true) => ((abstract @ X1 @ X2) = $true)))),
% 8.50/2.47 inference(fool_elimination,[status(thm)],[f597])).
% 8.50/2.47 thf(f597,plain,(
% 8.50/2.47 ! [X0 : traffic,X1 : traffic,X2 : traffic] : ((abstract @ X1 @ X0) => (? [X3 : cars] : (create_reservation @ X0 @ X3 @ X2) => (abstract @ X1 @ X2)))),
% 8.50/2.47 inference(rectify,[status(thm)],[f30])).
% 8.50/2.47 thf(f30,axiom,(
% 8.50/2.47 ! [X13 : traffic,X7 : traffic,X14 : traffic] : ((abstract @ X7 @ X13) => (? [X39 : cars] : (create_reservation @ X13 @ X39 @ X14) => (abstract @ X7 @ X14)))),
% 8.50/2.47 file('/export/starexec/sandbox2/tmp/tmp.uW4OZqnaXn/DTF2THF_27276.p',fact_29_traffic_Ocr__res)).
% 8.50/2.47 thf(f1980,plain,(
% 8.50/2.47 ((abstract @ ts_a @ ts) != $true) | spl109_10),
% 8.50/2.47 inference(avatar_component_clause,[status(thm)],[f1978])).
% 8.50/2.47 thf(f1978,definition,(
% 8.50/2.47 spl109_10 <=> ((abstract @ ts_a @ ts) = $true)),
% 8.50/2.47 introduced(definition,[new_symbols(naming,[spl109_10])],[avatar_definition])).
% 8.50/2.47 thf(f1988,plain,(
% 8.50/2.47 ~spl109_10 | ~spl109_1 | ~spl109_2 | spl109_5),
% 8.50/2.47 inference(avatar_split_clause,[status(thm)],[f1987,f1551,f1536,f1531,f1978])).
% 8.50/2.47 thf(f1531,definition,(
% 8.50/2.47 spl109_1 <=> ((move @ ts3 @ ts_a @ v) = (move @ ts_a @ ts @ (move @ ts3 @ ts_a @ v)))),
% 8.50/2.47 introduced(definition,[new_symbols(naming,[spl109_1])],[avatar_definition])).
% 8.50/2.47 thf(f1536,definition,(
% 8.50/2.47 spl109_2 <=> ((abstract @ ts3 @ ts_a) = $true)),
% 8.50/2.47 introduced(definition,[new_symbols(naming,[spl109_2])],[avatar_definition])).
% 8.50/2.47 thf(f1551,definition,(
% 8.50/2.47 spl109_5 <=> ((move @ ts3 @ ts_a @ v) = (move @ ts3 @ ts @ v))),
% 8.50/2.47 introduced(definition,[new_symbols(naming,[spl109_5])],[avatar_definition])).
% 8.50/2.47 thf(f1987,plain,(
% 8.50/2.47 ((abstract @ ts_a @ ts) != $true) | (~spl109_1 | ~spl109_2 | spl109_5)),
% 8.50/2.47 inference(subsumption_resolution,[status(thm)],[f1986,f1538])).
% 8.50/2.47 thf(f1538,plain,(
% 8.50/2.47 ((abstract @ ts3 @ ts_a) = $true) | ~spl109_2),
% 8.50/2.47 inference(avatar_component_clause,[status(thm)],[f1536])).
% 8.50/2.47 thf(f1986,plain,(
% 8.50/2.47 ((abstract @ ts_a @ ts) != $true) | ((abstract @ ts3 @ ts_a) != $true) | (~spl109_1 | spl109_5)),
% 8.50/2.47 inference(subsumption_resolution,[status(thm)],[f1969,f1553])).
% 8.50/2.47 thf(f1553,plain,(
% 8.50/2.47 ((move @ ts3 @ ts_a @ v) != (move @ ts3 @ ts @ v)) | spl109_5),
% 8.50/2.47 inference(avatar_component_clause,[status(thm)],[f1551])).
% 8.50/2.47 thf(f1969,plain,(
% 8.50/2.47 ((move @ ts3 @ ts_a @ v) = (move @ ts3 @ ts @ v)) | ((abstract @ ts3 @ ts_a) != $true) | ((abstract @ ts_a @ ts) != $true) | ~spl109_1),
% 8.50/2.47 inference(superposition,[status(thm)],[f1386,f1533])).
% 8.50/2.47 thf(f1533,plain,(
% 8.50/2.47 ((move @ ts3 @ ts_a @ v) = (move @ ts_a @ ts @ (move @ ts3 @ ts_a @ v))) | ~spl109_1),
% 8.50/2.47 inference(avatar_component_clause,[status(thm)],[f1531])).
% 8.50/2.47 thf(f1386,plain,(
% 8.50/2.47 ( ! [X2 : traffic,X3 : traffic,X0 : view_e774982825t_unit,X1 : traffic] : (((move @ X2 @ X3 @ X0) = (move @ X1 @ X3 @ (move @ X2 @ X1 @ X0))) | ((abstract @ X2 @ X1) != $true) | ((abstract @ X1 @ X3) != $true)) )),
% 8.50/2.47 inference(cnf_transformation,[status(thm)],[f1115])).
% 8.50/2.47 thf(f1115,plain,(
% 8.50/2.47 ! [X0 : view_e774982825t_unit,X1 : traffic,X2 : traffic,X3 : traffic] : (((abstract @ X2 @ X1) != $true) | ((move @ X2 @ X3 @ X0) = (move @ X1 @ X3 @ (move @ X2 @ X1 @ X0))) | ((abstract @ X1 @ X3) != $true))),
% 8.50/2.47 inference(flattening,[status(thm)],[f1114])).
% 8.50/2.47 thf(f1114,plain,(
% 8.50/2.47 ! [X0 : view_e774982825t_unit,X1 : traffic,X2 : traffic,X3 : traffic] : (((move @ X2 @ X3 @ X0) = (move @ X1 @ X3 @ (move @ X2 @ X1 @ X0))) | (((abstract @ X2 @ X1) != $true) | ((abstract @ X1 @ X3) != $true)))),
% 8.50/2.47 inference(ennf_transformation,[status(thm)],[f612])).
% 8.50/2.47 thf(f612,plain,(
% 8.50/2.47 ! [X0 : view_e774982825t_unit,X1 : traffic,X2 : traffic,X3 : traffic] : ((((abstract @ X2 @ X1) = $true) & ((abstract @ X1 @ X3) = $true)) => ((move @ X2 @ X3 @ X0) = (move @ X1 @ X3 @ (move @ X2 @ X1 @ X0))))),
% 8.50/2.47 inference(fool_elimination,[status(thm)],[f611])).
% 8.50/2.47 thf(f611,plain,(
% 8.50/2.47 ! [X0 : view_e774982825t_unit,X1 : traffic,X2 : traffic,X3 : traffic] : (((abstract @ X2 @ X1) & (abstract @ X1 @ X3)) => ((move @ X2 @ X3 @ X0) = (move @ X1 @ X3 @ (move @ X2 @ X1 @ X0))))),
% 8.50/2.47 inference(rectify,[status(thm)],[f11])).
% 8.50/2.47 thf(f11,axiom,(
% 8.50/2.47 ! [X8 : view_e774982825t_unit,X13 : traffic,X7 : traffic,X14 : traffic] : (((abstract @ X7 @ X13) & (abstract @ X13 @ X14)) => ((move @ X13 @ X14 @ (move @ X7 @ X13 @ X8)) = (move @ X7 @ X14 @ X8)))),
% 8.50/2.47 file('/export/starexec/sandbox2/tmp/tmp.uW4OZqnaXn/DTF2THF_27276.p',fact_10_traffic_Omove__trans)).
% 8.50/2.47 thf(f1554,plain,(
% 8.50/2.47 ~spl109_5),
% 8.50/2.47 inference(avatar_split_clause,[status(thm)],[f1343,f1551])).
% 8.50/2.47 thf(f1343,plain,(
% 8.50/2.47 ((move @ ts3 @ ts_a @ v) != (move @ ts3 @ ts @ v))),
% 8.50/2.47 inference(cnf_transformation,[status(thm)],[f1017])).
% 8.50/2.47 thf(f1017,plain,(
% 8.50/2.47 ((move @ ts3 @ ts_a @ v) != (move @ ts3 @ ts @ v))),
% 8.50/2.47 inference(flattening,[status(thm)],[f359])).
% 8.50/2.47 thf(f359,negated_conjecture,(
% 8.50/2.47 ~((move @ ts3 @ ts_a @ v) = (move @ ts3 @ ts @ v))),
% 8.50/2.47 inference(negated_conjecture,[status(cth)],[f358])).
% 8.50/2.47 thf(f358,conjecture,(
% 8.50/2.47 ((move @ ts3 @ ts_a @ v) = (move @ ts3 @ ts @ v))),
% 8.50/2.47 file('/export/starexec/sandbox2/tmp/tmp.uW4OZqnaXn/DTF2THF_27276.p',conj_0)).
% 8.50/2.47 thf(f1549,plain,(
% 8.50/2.47 spl109_4),
% 8.50/2.47 inference(avatar_split_clause,[status(thm)],[f1438,f1546])).
% 8.50/2.47 thf(f1438,plain,(
% 8.50/2.47 ((create_reservation @ ts_a @ sK68 @ ts) = $true)),
% 8.50/2.47 inference(cnf_transformation,[status(thm)],[f1240])).
% 8.50/2.47 thf(f1240,plain,(
% 8.50/2.47 ((create_reservation @ ts_a @ sK68 @ ts) = $true)),
% 8.50/2.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK68])],[f806,f1239])).
% 8.50/2.47 thf(f1239,plain,(
% 8.50/2.47 ? [X0 : cars] : ((create_reservation @ ts_a @ X0 @ ts) = $true) => ((create_reservation @ ts_a @ sK68 @ ts) = $true)),
% 8.50/2.47 introduced(definition,[],[choice_axiom])).
% 8.50/2.47 thf(f806,plain,(
% 8.50/2.47 ? [X0 : cars] : ((create_reservation @ ts_a @ X0 @ ts) = $true)),
% 8.50/2.47 inference(fool_elimination,[status(thm)],[f805])).
% 8.50/2.47 thf(f805,plain,(
% 8.50/2.47 ? [X0 : cars] : (create_reservation @ ts_a @ X0 @ ts)),
% 8.50/2.47 inference(rectify,[status(thm)],[f2])).
% 8.50/2.47 thf(f2,axiom,(
% 8.50/2.47 ? [X0 : cars] : (create_reservation @ ts_a @ X0 @ ts)),
% 8.50/2.47 file('/export/starexec/sandbox2/tmp/tmp.uW4OZqnaXn/DTF2THF_27276.p',fact_1_cr__res_Ohyps_I2_J)).
% 8.50/2.47 thf(f1539,plain,(
% 8.50/2.47 spl109_2),
% 8.50/2.47 inference(avatar_split_clause,[status(thm)],[f1400,f1536])).
% 8.50/2.47 thf(f1400,plain,(
% 8.50/2.47 ((abstract @ ts3 @ ts_a) = $true)),
% 8.50/2.47 inference(cnf_transformation,[status(thm)],[f978])).
% 8.50/2.47 thf(f978,plain,(
% 8.50/2.47 ((abstract @ ts3 @ ts_a) = $true)),
% 8.50/2.47 inference(fool_elimination,[status(thm)],[f977])).
% 8.50/2.47 thf(f977,plain,(
% 8.50/2.47 (abstract @ ts3 @ ts_a)),
% 8.50/2.47 inference(rectify,[status(thm)],[f1])).
% 8.50/2.47 thf(f1,axiom,(
% 8.50/2.47 (abstract @ ts3 @ ts_a)),
% 8.50/2.47 file('/export/starexec/sandbox2/tmp/tmp.uW4OZqnaXn/DTF2THF_27276.p',fact_0_cr__res_Ohyps_I1_J)).
% 8.50/2.47 thf(f1534,plain,(
% 8.50/2.47 spl109_1),
% 8.50/2.47 inference(avatar_split_clause,[status(thm)],[f1379,f1531])).
% 8.50/2.47 thf(f1379,plain,(
% 8.50/2.47 ((move @ ts3 @ ts_a @ v) = (move @ ts_a @ ts @ (move @ ts3 @ ts_a @ v)))),
% 8.50/2.47 inference(cnf_transformation,[status(thm)],[f6])).
% 8.50/2.47 thf(f6,axiom,(
% 8.50/2.47 ((move @ ts3 @ ts_a @ v) = (move @ ts_a @ ts @ (move @ ts3 @ ts_a @ v)))),
% 8.50/2.47 file('/export/starexec/sandbox2/tmp/tmp.uW4OZqnaXn/DTF2THF_27276.p',fact_5__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)).
% 8.50/2.47 % SZS output end Proof for DTF2THF_27276
% 8.50/2.47 % (27488)------------------------------
% 8.50/2.47 % (27488)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.50/2.47 % (27488)Termination reason: Refutation
% 8.50/2.47
% 8.50/2.47 % (27488)Memory used [KB]: 7803
% 8.50/2.47 % (27488)Time elapsed: 0.117 s
% 8.50/2.47 % (27488)Instructions burned: 302 (million)
% 8.50/2.47 % (27488)------------------------------
% 8.50/2.47 % (27488)------------------------------
% 8.50/2.47 % (27394)Success in time 0.928 s
%------------------------------------------------------------------------------