TSTP Solution File: ITP168^1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP168^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 : Mon May 20 22:54:19 EDT 2024
% Result : Theorem 19.25s 3.15s
% Output : Refutation 19.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 405
% Syntax : Number of formulae : 437 ( 22 unt; 397 typ; 0 def)
% Number of atoms : 383 ( 55 equ; 0 cnn)
% Maximal formula atoms : 3 ( 9 avg)
% Number of connectives : 56 ( 24 ~; 19 |; 3 &; 0 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 13 ( 12 usr)
% Number of type conns : 1022 (1021 >; 1 *; 0 +; 0 <<)
% Number of symbols : 377 ( 374 usr; 13 con; 0-6 aty)
% Number of variables : 72 ( 0 ^ 51 !; 7 ?; 72 :)
% ( 14 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
cars: $tType ).
thf(type_def_6,type,
real: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $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_92,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_93,type,
vAND: $o > $o > $o ).
thf(func_def_94,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_95,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_96,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_97,type,
vNOT: $o > $o ).
thf(func_def_98,type,
vOR: $o > $o > $o ).
thf(func_def_99,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_100,type,
vIMP: $o > $o > $o ).
thf(func_def_101,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_102,type,
sP0: traffic > traffic > $o ).
thf(func_def_103,type,
sP1: traffic > traffic > $o ).
thf(func_def_104,type,
sP2: traffic > traffic > $o ).
thf(func_def_105,type,
sP3: nat > nat > nat > $o ).
thf(func_def_106,type,
sP4: nat > nat > nat > $o ).
thf(func_def_107,type,
sP5: nat > nat > nat > $o ).
thf(func_def_108,type,
sP6: nat > nat > nat > $o ).
thf(func_def_109,type,
sP7: traffic > ( traffic > $o ) > $o ).
thf(func_def_110,type,
sP8: traffic > ( traffic > $o ) > $o ).
thf(func_def_111,type,
sP9: traffic > ( traffic > $o ) > $o ).
thf(func_def_112,type,
sP10: traffic > ( traffic > $o ) > $o ).
thf(func_def_113,type,
sP11: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > cars > ( traffic > view_e774982825t_unit > $o ) > traffic > $o ).
thf(func_def_114,type,
sP12: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > cars > ( traffic > view_e774982825t_unit > $o ) > traffic > $o ).
thf(func_def_115,type,
sK13: view_e774982825t_unit > real_int ).
thf(func_def_116,type,
sK14: view_e774982825t_unit > nat_int ).
thf(func_def_117,type,
sK15: view_e774982825t_unit > cars ).
thf(func_def_118,type,
sK16: view_e774982825t_unit > real_int ).
thf(func_def_119,type,
sK17: view_e774982825t_unit > nat_int ).
thf(func_def_120,type,
sK18: view_e774982825t_unit > cars ).
thf(func_def_121,type,
sK19: view_e774982825t_unit > product_unit ).
thf(func_def_122,type,
sK20: real_int > real_int ).
thf(func_def_123,type,
sK21: real_int > real_int ).
thf(func_def_124,type,
sK22: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_125,type,
sK23: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_126,type,
sK24: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_127,type,
sK25: real_int > real_int ).
thf(func_def_128,type,
sK26: real_int > real_int ).
thf(func_def_129,type,
sK27: view_e774982825t_unit > cars ).
thf(func_def_130,type,
sK28: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_131,type,
sK29: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_132,type,
sK30: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_133,type,
sK31: ( view_e774982825t_unit > $o ) > real_int ).
thf(func_def_134,type,
sK32: ( view_e774982825t_unit > $o ) > nat_int ).
thf(func_def_135,type,
sK33: ( view_e774982825t_unit > $o ) > cars ).
thf(func_def_136,type,
sK34: ( view_e774982825t_unit > $o ) > real_int ).
thf(func_def_137,type,
sK35: ( view_e774982825t_unit > $o ) > nat_int ).
thf(func_def_138,type,
sK36: ( view_e774982825t_unit > $o ) > cars ).
thf(func_def_139,type,
sK37: ( view_e774982825t_unit > $o ) > product_unit ).
thf(func_def_140,type,
sK38: traffic > traffic > traffic ).
thf(func_def_141,type,
sK39: traffic > traffic > cars ).
thf(func_def_142,type,
sK40: traffic > traffic > traffic ).
thf(func_def_143,type,
sK41: traffic > traffic > cars ).
thf(func_def_144,type,
sK42: traffic > traffic > nat ).
thf(func_def_145,type,
sK43: traffic > traffic > traffic ).
thf(func_def_146,type,
sK44: traffic > traffic > traffic ).
thf(func_def_147,type,
sK45: traffic > traffic > cars ).
thf(func_def_148,type,
sK46: traffic > traffic > nat ).
thf(func_def_149,type,
sK47: traffic > traffic > traffic ).
thf(func_def_150,type,
sK48: traffic > traffic > cars ).
thf(func_def_151,type,
sK49: traffic > cars > traffic ).
thf(func_def_152,type,
sK50: cars > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_153,type,
sK51: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_154,type,
sK52: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_155,type,
sK53: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_156,type,
sK54: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_157,type,
sK55: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_158,type,
sK56: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_159,type,
sK57: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_160,type,
sK58: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_161,type,
sK59: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > traffic ).
thf(func_def_162,type,
sK60: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > traffic ).
thf(func_def_163,type,
sK61: ( nat > nat > $o ) > nat ).
thf(func_def_164,type,
sK62: ( nat > nat > $o ) > nat ).
thf(func_def_165,type,
sK63: ( nat > nat > $o ) > nat ).
thf(func_def_166,type,
sK64: ( nat > nat > $o ) > nat ).
thf(func_def_167,type,
sK65: traffic > ( traffic > $o ) > traffic ).
thf(func_def_168,type,
sK66: traffic > ( traffic > $o ) > traffic ).
thf(func_def_169,type,
sK67: traffic > ( traffic > $o ) > cars ).
thf(func_def_170,type,
sK68: traffic > ( traffic > $o ) > traffic ).
thf(func_def_171,type,
sK69: traffic > ( traffic > $o ) > traffic ).
thf(func_def_172,type,
sK70: traffic > ( traffic > $o ) > cars ).
thf(func_def_173,type,
sK71: traffic > ( traffic > $o ) > traffic ).
thf(func_def_174,type,
sK72: traffic > ( traffic > $o ) > traffic ).
thf(func_def_175,type,
sK73: traffic > ( traffic > $o ) > cars ).
thf(func_def_176,type,
sK74: traffic > ( traffic > $o ) > nat ).
thf(func_def_177,type,
sK75: traffic > ( traffic > $o ) > traffic ).
thf(func_def_178,type,
sK76: traffic > ( traffic > $o ) > traffic ).
thf(func_def_179,type,
sK77: ( traffic > $o ) > traffic > traffic ).
thf(func_def_180,type,
sK78: ( traffic > $o ) > traffic > traffic ).
thf(func_def_181,type,
sK79: ( traffic > $o ) > traffic > cars ).
thf(func_def_182,type,
sK80: ( traffic > $o ) > traffic > nat ).
thf(func_def_183,type,
sK81: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_184,type,
sK82: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_185,type,
sK83: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > cars ).
thf(func_def_186,type,
sK84: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_187,type,
sK85: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_188,type,
sK86: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_189,type,
sK87: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_190,type,
sK88: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_191,type,
sK89: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_192,type,
sK90: ( real_int > real_int ) > real_int ).
thf(func_def_193,type,
sK91: ( real_int > real_int ) > real_int ).
thf(func_def_194,type,
sK92: ( real_int > nat ) > real_int ).
thf(func_def_195,type,
sK93: ( real_int > nat ) > real_int ).
thf(func_def_196,type,
sK94: ( real_int > nat_int ) > real_int ).
thf(func_def_197,type,
sK95: ( real_int > nat_int ) > real_int ).
thf(func_def_198,type,
sK96: ( nat > real_int ) > nat ).
thf(func_def_199,type,
sK97: ( nat > real_int ) > nat ).
thf(func_def_200,type,
sK98: ( nat > nat ) > nat ).
thf(func_def_201,type,
sK99: ( nat > nat ) > nat ).
thf(func_def_202,type,
sK100: ( nat > nat_int ) > nat ).
thf(func_def_203,type,
sK101: ( nat > nat_int ) > nat ).
thf(func_def_204,type,
sK102: ( nat_int > real_int ) > nat_int ).
thf(func_def_205,type,
sK103: ( nat_int > real_int ) > nat_int ).
thf(func_def_206,type,
sK104: ( nat_int > nat ) > nat_int ).
thf(func_def_207,type,
sK105: ( nat_int > nat ) > nat_int ).
thf(func_def_208,type,
sK106: ( nat_int > view_e774982825t_unit ) > nat_int ).
thf(func_def_209,type,
sK107: ( nat_int > view_e774982825t_unit ) > nat_int ).
thf(func_def_210,type,
sK108: ( nat_int > nat_int ) > nat_int ).
thf(func_def_211,type,
sK109: ( nat_int > nat_int ) > nat_int ).
thf(func_def_212,type,
sK110: cars > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_213,type,
sK111: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > cars > view_e774982825t_unit ).
thf(func_def_214,type,
sK112: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > cars > view_e774982825t_unit ).
thf(func_def_215,type,
sK113: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > cars > view_e774982825t_unit ).
thf(func_def_216,type,
sK114: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > cars > view_e774982825t_unit ).
thf(func_def_217,type,
sK115: ( real_int > real_int ) > real_int ).
thf(func_def_218,type,
sK116: ( real_int > real_int ) > real_int ).
thf(func_def_219,type,
sK117: ( real_int > nat ) > real_int ).
thf(func_def_220,type,
sK118: ( real_int > nat ) > real_int ).
thf(func_def_221,type,
sK119: ( real_int > nat_int ) > real_int ).
thf(func_def_222,type,
sK120: ( real_int > nat_int ) > real_int ).
thf(func_def_223,type,
sK121: ( real_int > real_int ) > real_int ).
thf(func_def_224,type,
sK122: ( real_int > real_int ) > real_int ).
thf(func_def_225,type,
sK123: ( real_int > real_int ) > real_int ).
thf(func_def_226,type,
sK124: ( real_int > real_int ) > real_int ).
thf(func_def_227,type,
sK125: ( real_int > nat ) > real_int ).
thf(func_def_228,type,
sK126: ( real_int > nat ) > real_int ).
thf(func_def_229,type,
sK127: ( real_int > nat ) > real_int ).
thf(func_def_230,type,
sK128: ( real_int > nat ) > real_int ).
thf(func_def_231,type,
sK129: ( real_int > nat_int ) > real_int ).
thf(func_def_232,type,
sK130: ( real_int > nat_int ) > real_int ).
thf(func_def_233,type,
sK131: ( real_int > nat_int ) > real_int ).
thf(func_def_234,type,
sK132: ( real_int > nat_int ) > real_int ).
thf(func_def_235,type,
sK133: ( nat > real_int ) > nat ).
thf(func_def_236,type,
sK134: ( nat > real_int ) > nat ).
thf(func_def_237,type,
sK135: ( nat > nat ) > nat ).
thf(func_def_238,type,
sK136: ( nat > nat ) > nat ).
thf(func_def_239,type,
sK137: ( nat > view_e774982825t_unit ) > nat ).
thf(func_def_240,type,
sK138: ( nat > view_e774982825t_unit ) > nat ).
thf(func_def_241,type,
sK139: ( nat > nat_int ) > nat ).
thf(func_def_242,type,
sK140: ( nat > nat_int ) > nat ).
thf(func_def_243,type,
sK141: ( nat > real_int ) > nat ).
thf(func_def_244,type,
sK142: ( nat > real_int ) > nat ).
thf(func_def_245,type,
sK143: ( nat > nat ) > nat ).
thf(func_def_246,type,
sK144: ( nat > nat ) > nat ).
thf(func_def_247,type,
sK145: ( nat > nat_int ) > nat ).
thf(func_def_248,type,
sK146: ( nat > nat_int ) > nat ).
thf(func_def_249,type,
sK147: ( nat > real_int ) > nat ).
thf(func_def_250,type,
sK148: ( nat > real_int ) > nat ).
thf(func_def_251,type,
sK149: ( nat > real_int ) > nat ).
thf(func_def_252,type,
sK150: ( nat > real_int ) > nat ).
thf(func_def_253,type,
sK151: ( nat > nat ) > nat ).
thf(func_def_254,type,
sK152: ( nat > nat ) > nat ).
thf(func_def_255,type,
sK153: ( nat > nat ) > nat ).
thf(func_def_256,type,
sK154: ( nat > nat ) > nat ).
thf(func_def_257,type,
sK155: ( nat > nat_int ) > nat ).
thf(func_def_258,type,
sK156: ( nat > nat_int ) > nat ).
thf(func_def_259,type,
sK157: ( nat > nat_int ) > nat ).
thf(func_def_260,type,
sK158: ( nat > nat_int ) > nat ).
thf(func_def_261,type,
sK159: ( nat_int > real_int ) > nat_int ).
thf(func_def_262,type,
sK160: ( nat_int > real_int ) > nat_int ).
thf(func_def_263,type,
sK161: ( nat_int > nat ) > nat_int ).
thf(func_def_264,type,
sK162: ( nat_int > nat ) > nat_int ).
thf(func_def_265,type,
sK163: ( nat_int > view_e774982825t_unit ) > nat_int ).
thf(func_def_266,type,
sK164: ( nat_int > view_e774982825t_unit ) > nat_int ).
thf(func_def_267,type,
sK165: ( nat_int > nat_int ) > nat_int ).
thf(func_def_268,type,
sK166: ( nat_int > nat_int ) > nat_int ).
thf(func_def_269,type,
sK167: ( nat_int > real_int ) > nat_int ).
thf(func_def_270,type,
sK168: ( nat_int > real_int ) > nat_int ).
thf(func_def_271,type,
sK169: ( nat_int > nat ) > nat_int ).
thf(func_def_272,type,
sK170: ( nat_int > nat ) > nat_int ).
thf(func_def_273,type,
sK171: ( nat_int > view_e774982825t_unit ) > nat_int ).
thf(func_def_274,type,
sK172: ( nat_int > view_e774982825t_unit ) > nat_int ).
thf(func_def_275,type,
sK173: ( nat_int > nat_int ) > nat_int ).
thf(func_def_276,type,
sK174: ( nat_int > nat_int ) > nat_int ).
thf(func_def_277,type,
sK175: ( nat_int > real_int ) > nat_int ).
thf(func_def_278,type,
sK176: ( nat_int > real_int ) > nat_int ).
thf(func_def_279,type,
sK177: ( nat_int > real_int ) > nat_int ).
thf(func_def_280,type,
sK178: ( nat_int > real_int ) > nat_int ).
thf(func_def_281,type,
sK179: ( nat_int > nat ) > nat_int ).
thf(func_def_282,type,
sK180: ( nat_int > nat ) > nat_int ).
thf(func_def_283,type,
sK181: ( nat_int > nat ) > nat_int ).
thf(func_def_284,type,
sK182: ( nat_int > nat ) > nat_int ).
thf(func_def_285,type,
sK183: ( nat_int > view_e774982825t_unit ) > nat_int ).
thf(func_def_286,type,
sK184: ( nat_int > view_e774982825t_unit ) > nat_int ).
thf(func_def_287,type,
sK185: ( nat_int > view_e774982825t_unit ) > nat_int ).
thf(func_def_288,type,
sK186: ( nat_int > view_e774982825t_unit ) > nat_int ).
thf(func_def_289,type,
sK187: ( nat_int > nat_int ) > nat_int ).
thf(func_def_290,type,
sK188: ( nat_int > nat_int ) > nat_int ).
thf(func_def_291,type,
sK189: ( nat_int > nat_int ) > nat_int ).
thf(func_def_292,type,
sK190: ( nat_int > nat_int ) > nat_int ).
thf(func_def_293,type,
sK191: ( real_int > real_int ) > real_int ).
thf(func_def_294,type,
sK192: ( real_int > real_int ) > real_int ).
thf(func_def_295,type,
sK193: ( nat > real_int ) > nat ).
thf(func_def_296,type,
sK194: ( nat > real_int ) > nat ).
thf(func_def_297,type,
sK195: ( nat_int > real_int ) > nat_int ).
thf(func_def_298,type,
sK196: ( nat_int > real_int ) > nat_int ).
thf(func_def_299,type,
sK197: ( real_int > real_int ) > real_int ).
thf(func_def_300,type,
sK198: ( real_int > real_int ) > real_int ).
thf(func_def_301,type,
sK199: ( nat > real_int ) > nat ).
thf(func_def_302,type,
sK200: ( nat > real_int ) > nat ).
thf(func_def_303,type,
sK201: ( nat > real_int ) > nat ).
thf(func_def_304,type,
sK202: ( nat > real_int ) > nat ).
thf(func_def_305,type,
sK203: ( nat_int > real_int ) > nat_int ).
thf(func_def_306,type,
sK204: ( nat_int > real_int ) > nat_int ).
thf(func_def_307,type,
sK205: ( nat_int > real_int ) > nat_int ).
thf(func_def_308,type,
sK206: ( nat_int > real_int ) > nat_int ).
thf(func_def_309,type,
sK207: ( real_int > nat ) > real_int ).
thf(func_def_310,type,
sK208: ( real_int > nat ) > real_int ).
thf(func_def_311,type,
sK209: ( nat > nat ) > nat ).
thf(func_def_312,type,
sK210: ( nat > nat ) > nat ).
thf(func_def_313,type,
sK211: ( nat_int > nat ) > nat_int ).
thf(func_def_314,type,
sK212: ( nat_int > nat ) > nat_int ).
thf(func_def_315,type,
sK213: ( real_int > nat ) > real_int ).
thf(func_def_316,type,
sK214: ( real_int > nat ) > real_int ).
thf(func_def_317,type,
sK215: ( nat > nat ) > nat ).
thf(func_def_318,type,
sK216: ( nat > nat ) > nat ).
thf(func_def_319,type,
sK217: ( nat > nat ) > nat ).
thf(func_def_320,type,
sK218: ( nat > nat ) > nat ).
thf(func_def_321,type,
sK219: ( nat_int > nat ) > nat_int ).
thf(func_def_322,type,
sK220: ( nat_int > nat ) > nat_int ).
thf(func_def_323,type,
sK221: ( nat_int > nat ) > nat_int ).
thf(func_def_324,type,
sK222: ( nat_int > nat ) > nat_int ).
thf(func_def_325,type,
sK223: ( nat_int > view_e774982825t_unit ) > nat_int ).
thf(func_def_326,type,
sK224: ( nat_int > view_e774982825t_unit ) > nat_int ).
thf(func_def_327,type,
sK225: ( nat > view_e774982825t_unit ) > nat ).
thf(func_def_328,type,
sK226: ( nat > view_e774982825t_unit ) > nat ).
thf(func_def_329,type,
sK227: ( nat_int > view_e774982825t_unit ) > nat_int ).
thf(func_def_330,type,
sK228: ( nat_int > view_e774982825t_unit ) > nat_int ).
thf(func_def_331,type,
sK229: ( real_int > nat_int ) > real_int ).
thf(func_def_332,type,
sK230: ( real_int > nat_int ) > real_int ).
thf(func_def_333,type,
sK231: ( nat > nat_int ) > nat ).
thf(func_def_334,type,
sK232: ( nat > nat_int ) > nat ).
thf(func_def_335,type,
sK233: ( nat_int > nat_int ) > nat_int ).
thf(func_def_336,type,
sK234: ( nat_int > nat_int ) > nat_int ).
thf(func_def_337,type,
sK235: ( real_int > nat_int ) > real_int ).
thf(func_def_338,type,
sK236: ( real_int > nat_int ) > real_int ).
thf(func_def_339,type,
sK237: ( nat > nat_int ) > nat ).
thf(func_def_340,type,
sK238: ( nat > nat_int ) > nat ).
thf(func_def_341,type,
sK239: ( nat > nat_int ) > nat ).
thf(func_def_342,type,
sK240: ( nat > nat_int ) > nat ).
thf(func_def_343,type,
sK241: ( view_e774982825t_unit > nat_int ) > view_e774982825t_unit ).
thf(func_def_344,type,
sK242: ( view_e774982825t_unit > nat_int ) > view_e774982825t_unit ).
thf(func_def_345,type,
sK243: ( nat_int > nat_int ) > nat_int ).
thf(func_def_346,type,
sK244: ( nat_int > nat_int ) > nat_int ).
thf(func_def_347,type,
sK245: ( nat_int > nat_int ) > nat_int ).
thf(func_def_348,type,
sK246: ( nat_int > nat_int ) > nat_int ).
thf(func_def_349,type,
sK247: cars > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_350,type,
sK248: cars > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_351,type,
sK249: view_e774982825t_unit > cars > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_352,type,
sK250: view_e774982825t_unit > cars > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_353,type,
sK251: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_354,type,
sK252: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_355,type,
sK253: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > cars > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit ).
thf(func_def_356,type,
sK254: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > cars > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit ).
thf(func_def_357,type,
sK255: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > cars > view_e774982825t_unit ).
thf(func_def_358,type,
sK256: view_e774982825t_unit > cars > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit ).
thf(func_def_359,type,
sK257: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > cars > traffic > view_e774982825t_unit ).
thf(func_def_360,type,
sK258: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_361,type,
sK259: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_362,type,
sK260: cars ).
thf(func_def_364,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_365,type,
sK262: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_366,type,
sK263: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_367,type,
sK264: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_368,type,
sK265: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_369,type,
sK266: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_370,type,
sK267: ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_371,type,
sK268: ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_372,type,
sK269: ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_373,type,
sK270: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_374,type,
sK271: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_375,type,
sK272: ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_376,type,
sK273: ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_377,type,
sK274: ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_378,type,
sK275: ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_379,type,
sK276: ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_380,type,
sK277: ( traffic > view_e774982825t_unit > $o ) > traffic > cars > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_381,type,
sK278: ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > cars > traffic > view_e774982825t_unit ).
thf(func_def_382,type,
sK279: ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > cars > traffic > view_e774982825t_unit ).
thf(func_def_383,type,
sK280: ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > cars > traffic > view_e774982825t_unit ).
thf(func_def_384,type,
sK281: ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > cars > traffic > view_e774982825t_unit ).
thf(func_def_385,type,
sK282: cars > traffic > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_386,type,
sK283: cars > traffic > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_387,type,
sK284: view_e774982825t_unit > nat > view_e774982825t_unit ).
thf(f30613,plain,
$false,
inference(subsumption_resolution,[],[f30612,f2292]) ).
thf(f2292,plain,
vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,ts3),ts_a) = $true,
inference(cnf_transformation,[],[f1017]) ).
thf(f1017,plain,
vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,ts3),ts_a) = $true,
inference(fool_elimination,[],[f1016]) ).
thf(f1016,plain,
vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,ts3),ts_a),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,ts3),ts_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_cr__res_Ohyps_I1_J) ).
thf(f30612,plain,
vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,ts3),ts_a) != $true,
inference(subsumption_resolution,[],[f30611,f8108]) ).
thf(f8108,plain,
$true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,ts_a),ts),
inference(trivial_inequality_removal,[],[f8105]) ).
thf(f8105,plain,
( ( $true != $true )
| ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,ts_a),ts) ) ),
inference(superposition,[],[f8103,f1853]) ).
thf(f1853,plain,
! [X0: traffic] : ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X0) ),
inference(cnf_transformation,[],[f495]) ).
thf(f495,plain,
! [X0: traffic] : ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X0) ),
inference(fool_elimination,[],[f494]) ).
thf(f494,plain,
! [X0: traffic] : vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X0),
inference(rectify,[],[f38]) ).
thf(f38,axiom,
! [X7: traffic] : vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X7),X7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_traffic_Oabstract_Orefl) ).
thf(f8103,plain,
! [X0: traffic] :
( ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),ts_a) )
| ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),ts) ) ),
inference(trivial_inequality_removal,[],[f8098]) ).
thf(f8098,plain,
! [X0: traffic] :
( ( $true != $true )
| ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),ts) )
| ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),ts_a) ) ),
inference(superposition,[],[f1994,f2290]) ).
thf(f2290,plain,
$true = vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,ts_a),sK260),ts),
inference(cnf_transformation,[],[f1776]) ).
thf(f1776,plain,
$true = vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,ts_a),sK260),ts),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK260])],[f1013,f1775]) ).
thf(f1775,plain,
( ? [X0: cars] : ( vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,ts_a),X0),ts) = $true )
=> ( $true = vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,ts_a),sK260),ts) ) ),
introduced(choice_axiom,[]) ).
thf(f1013,plain,
? [X0: cars] : ( vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,ts_a),X0),ts) = $true ),
inference(fool_elimination,[],[f1012]) ).
thf(f1012,plain,
? [X0: cars] : vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,ts_a),X0),ts),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
? [X0: cars] : vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,ts_a),X0),ts),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_cr__res_Ohyps_I2_J) ).
thf(f1994,plain,
! [X2: traffic,X3: cars,X0: traffic,X1: traffic] :
( ( $true != vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,X1),X3),X2) )
| ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X2) )
| ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X1) ) ),
inference(cnf_transformation,[],[f1188]) ).
thf(f1188,plain,
! [X0: traffic,X1: traffic,X2: traffic] :
( ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X2) )
| ! [X3: cars] : ( $true != vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,X1),X3),X2) )
| ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X1) ) ),
inference(flattening,[],[f1187]) ).
thf(f1187,plain,
! [X0: traffic,X1: traffic,X2: traffic] :
( ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X2) )
| ! [X3: cars] : ( $true != vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,X1),X3),X2) )
| ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X1) ) ),
inference(ennf_transformation,[],[f697]) ).
thf(f697,plain,
! [X0: traffic,X1: traffic,X2: traffic] :
( ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X1) )
=> ( ? [X3: cars] : ( $true = vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,X1),X3),X2) )
=> ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X2) ) ) ),
inference(fool_elimination,[],[f696]) ).
thf(f696,plain,
! [X0: traffic,X1: traffic,X2: traffic] :
( vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X1)
=> ( ? [X3: cars] : vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,X1),X3),X2)
=> vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X2) ) ),
inference(rectify,[],[f30]) ).
thf(f30,axiom,
! [X7: traffic,X13: traffic,X14: traffic] :
( vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X7),X13)
=> ( ? [X39: cars] : vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,X13),X39),X14)
=> vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X7),X14) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_traffic_Ocr__res) ).
thf(f30611,plain,
( ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,ts_a),ts) )
| ( vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,ts3),ts_a) != $true ) ),
inference(subsumption_resolution,[],[f30605,f1777]) ).
thf(f1777,plain,
vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,ts3),ts_a),v) != vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,ts3),ts),v),
inference(cnf_transformation,[],[f1018]) ).
thf(f1018,plain,
vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,ts3),ts_a),v) != vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,ts3),ts),v),
inference(flattening,[],[f359]) ).
thf(f359,negated_conjecture,
vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,ts3),ts_a),v) != vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,ts3),ts),v),
inference(negated_conjecture,[],[f358]) ).
thf(f358,conjecture,
vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,ts3),ts_a),v) = vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,ts3),ts),v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f30605,plain,
( ( vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,ts3),ts_a),v) = vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,ts3),ts),v) )
| ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,ts_a),ts) )
| ( vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,ts3),ts_a) != $true ) ),
inference(superposition,[],[f2099,f1780]) ).
thf(f1780,plain,
vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,ts3),ts_a),v) = vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,ts_a),ts),vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,ts3),ts_a),v)),
inference(cnf_transformation,[],[f6]) ).
thf(f6,axiom,
vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,ts3),ts_a),v) = vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,ts_a),ts),vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,ts3),ts_a),v)),
file('/export/starexec/sandbox/benchmark/theBenchmark.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) ).
thf(f2099,plain,
! [X2: traffic,X3: view_e774982825t_unit,X0: traffic,X1: traffic] :
( ( vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,X1),X2),vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,X0),X1),X3)) = vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,X0),X2),X3) )
| ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X1),X2) )
| ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X1) ) ),
inference(cnf_transformation,[],[f1291]) ).
thf(f1291,plain,
! [X0: traffic,X1: traffic,X2: traffic,X3: view_e774982825t_unit] :
( ( vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,X1),X2),vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,X0),X1),X3)) = vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,X0),X2),X3) )
| ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X1),X2) )
| ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X1) ) ),
inference(flattening,[],[f1290]) ).
thf(f1290,plain,
! [X0: traffic,X1: traffic,X2: traffic,X3: view_e774982825t_unit] :
( ( vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,X1),X2),vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,X0),X1),X3)) = vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,X0),X2),X3) )
| ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X1),X2) )
| ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X1) ) ),
inference(ennf_transformation,[],[f817]) ).
thf(f817,plain,
! [X0: traffic,X1: traffic,X2: traffic,X3: view_e774982825t_unit] :
( ( ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X1),X2) )
& ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X1) ) )
=> ( vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,X1),X2),vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,X0),X1),X3)) = vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,X0),X2),X3) ) ),
inference(fool_elimination,[],[f816]) ).
thf(f816,plain,
! [X0: traffic,X1: traffic,X2: traffic,X3: view_e774982825t_unit] :
( ( vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X1),X2)
& vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X1) )
=> ( vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,X1),X2),vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,X0),X1),X3)) = vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,X0),X2),X3) ) ),
inference(rectify,[],[f11]) ).
thf(f11,axiom,
! [X7: traffic,X13: traffic,X14: traffic,X8: view_e774982825t_unit] :
( ( vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X13),X14)
& vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X7),X13) )
=> ( vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,X13),X14),vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,X7),X13),X8)) = vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,X7),X14),X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_traffic_Omove__trans) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ITP168^1 : TPTP v8.2.0. Released v7.5.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat May 18 18:06:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (28737)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (28741)WARNING: value z3 for option sas not known
% 0.21/0.43 % (28741)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.43 % (28742)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.43 % (28739)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.43 % (28743)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.44 % (28740)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.44 % (28745)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.44 % (28744)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.53 % (28745)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.94/0.68 % Exception at run slice level
% 1.94/0.68 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.94/0.69 % Exception at run slice level
% 1.94/0.69 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.94/0.69 % Exception at run slice level
% 1.94/0.69 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.94/0.70 % (28746)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 1.94/0.70 % (28747)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 1.94/0.71 % (28748)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 2.39/0.82 % (28746)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.39/0.82 % (28747)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.84/0.91 % Exception at run slice level
% 2.84/0.91 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 2.84/0.93 % (28749)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 18.85/3.14 % (28748)First to succeed.
% 19.25/3.15 % (28748)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28737"
% 19.25/3.15 % (28748)Refutation found. Thanks to Tanya!
% 19.25/3.15 % SZS status Theorem for theBenchmark
% 19.25/3.15 % SZS output start Proof for theBenchmark
% See solution above
% 19.25/3.16 % (28748)------------------------------
% 19.25/3.16 % (28748)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 19.25/3.16 % (28748)Termination reason: Refutation
% 19.25/3.16
% 19.25/3.16 % (28748)Memory used [KB]: 11399
% 19.25/3.16 % (28748)Time elapsed: 2.455 s
% 19.25/3.16 % (28748)Instructions burned: 4387 (million)
% 19.25/3.16 % (28737)Success in time 2.778 s
%------------------------------------------------------------------------------