TSTP Solution File: ITP169^1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP169^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 : Sun May 5 07:04:26 EDT 2024
% Result : Theorem 3.02s 0.89s
% Output : Refutation 3.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 181
% Syntax : Number of formulae : 214 ( 18 unt; 176 typ; 0 def)
% Number of atoms : 990 ( 163 equ; 0 cnn)
% Maximal formula atoms : 18 ( 26 avg)
% Number of connectives : 224 ( 81 ~; 67 |; 72 &; 0 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 516 ( 515 >; 1 *; 0 +; 0 <<)
% Number of symbols : 166 ( 163 usr; 18 con; 0-6 aty)
% Number of variables : 27 ( 0 ^ 9 !; 4 ?; 27 :)
% ( 14 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
nat: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_7,type,
real: $tType ).
thf(type_def_8,type,
cars: $tType ).
thf(type_def_9,type,
traffic: $tType ).
thf(type_def_10,type,
view_e774982825t_unit: $tType ).
thf(type_def_11,type,
real_int: $tType ).
thf(type_def_12,type,
nat_int: $tType ).
thf(func_def_0,type,
view_e774982825t_unit: $tType ).
thf(func_def_1,type,
real_int: $tType ).
thf(func_def_2,type,
nat_int: $tType ).
thf(func_def_3,type,
traffic: $tType ).
thf(func_def_4,type,
real: $tType ).
thf(func_def_5,type,
cars: $tType ).
thf(func_def_6,type,
nat: $tType ).
thf(func_def_7,type,
one_one_nat: nat ).
thf(func_def_8,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_9,type,
plus_plus_real: real > real > real ).
thf(func_def_10,type,
zero_zero_nat: nat ).
thf(func_def_11,type,
zero_zero_real: real ).
thf(func_def_12,type,
len: ( cars > traffic > cars > real ) > view_e774982825t_unit > traffic > cars > real_int ).
thf(func_def_13,type,
move: traffic > traffic > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_14,type,
nat_card: nat_int > nat ).
thf(func_def_15,type,
bot_bot_nat_int: nat_int ).
thf(func_def_16,type,
ord_less_nat_int: nat_int > nat_int > $o ).
thf(func_def_17,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_18,type,
ord_less_real: real > real > $o ).
thf(func_def_19,type,
ord_less_eq_nat_int: nat_int > nat_int > $o ).
thf(func_def_20,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_21,type,
ord_less_eq_real_int: real_int > real_int > $o ).
thf(func_def_22,type,
ord_less_eq_real: real > real > $o ).
thf(func_def_23,type,
ord_le461438217t_unit: view_e774982825t_unit > view_e774982825t_unit > $o ).
thf(func_def_24,type,
real_length: real_int > real ).
thf(func_def_25,type,
regular_regular: cars > traffic > cars > real ).
thf(func_def_26,type,
restrict: view_e774982825t_unit > ( cars > nat_int ) > cars > nat_int ).
thf(func_def_27,type,
abstract: traffic > traffic > $o ).
thf(func_def_28,type,
clm: traffic > cars > nat_int ).
thf(func_def_29,type,
create_claim: traffic > cars > nat > traffic > $o ).
thf(func_def_30,type,
create_reservation: traffic > cars > traffic > $o ).
thf(func_def_31,type,
res: traffic > cars > nat_int ).
thf(func_def_32,type,
withdraw_claim: traffic > cars > traffic > $o ).
thf(func_def_33,type,
withdraw_reservation: traffic > cars > nat > traffic > $o ).
thf(func_def_34,type,
ext_Product_unit: view_e774982825t_unit > real_int ).
thf(func_def_35,type,
hchop: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > $o ).
thf(func_def_36,type,
lan_Product_unit: view_e774982825t_unit > nat_int ).
thf(func_def_37,type,
own_Product_unit: view_e774982825t_unit > cars ).
thf(func_def_38,type,
vchop: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > $o ).
thf(func_def_39,type,
c: cars ).
thf(func_def_40,type,
d: cars ).
thf(func_def_41,type,
e: cars ).
thf(func_def_42,type,
thesis: $o ).
thf(func_def_43,type,
ts: traffic ).
thf(func_def_44,type,
ts2: traffic ).
thf(func_def_45,type,
ts_a: traffic ).
thf(func_def_46,type,
ts3: traffic ).
thf(func_def_47,type,
v: view_e774982825t_unit ).
thf(func_def_51,type,
vAND: $o > $o > $o ).
thf(func_def_52,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_53,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_54,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_55,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_56,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_57,type,
vNOT: $o > $o ).
thf(func_def_58,type,
vOR: $o > $o > $o ).
thf(func_def_59,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_60,type,
vIMP: $o > $o > $o ).
thf(func_def_61,type,
sP0: view_e774982825t_unit > traffic > $o ).
thf(func_def_62,type,
sP1: view_e774982825t_unit > traffic > $o ).
thf(func_def_63,type,
sP2: view_e774982825t_unit > traffic > $o ).
thf(func_def_64,type,
sP3: view_e774982825t_unit > traffic > $o ).
thf(func_def_65,type,
sP4: view_e774982825t_unit > traffic > cars > $o ).
thf(func_def_66,type,
sP5: view_e774982825t_unit > traffic > cars > $o ).
thf(func_def_67,type,
sP6: traffic > cars > view_e774982825t_unit > $o ).
thf(func_def_68,type,
sP7: traffic > cars > view_e774982825t_unit > $o ).
thf(func_def_69,type,
sP8: traffic > cars > view_e774982825t_unit > $o ).
thf(func_def_70,type,
sP9: traffic > cars > view_e774982825t_unit > $o ).
thf(func_def_71,type,
sK10: cars ).
thf(func_def_72,type,
sK11: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_73,type,
sK12: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_74,type,
sK13: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_75,type,
sK14: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_76,type,
sK15: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_77,type,
sK16: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_78,type,
sK17: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_79,type,
sK18: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_80,type,
sK19: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_81,type,
sK20: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_82,type,
sK21: view_e774982825t_unit > traffic > cars ).
thf(func_def_83,type,
sK22: view_e774982825t_unit > traffic > cars ).
thf(func_def_84,type,
sK23: view_e774982825t_unit > traffic > cars ).
thf(func_def_85,type,
sK24: view_e774982825t_unit > traffic > view_e774982825t_unit ).
thf(func_def_86,type,
sK25: view_e774982825t_unit > traffic > view_e774982825t_unit ).
thf(func_def_87,type,
sK26: view_e774982825t_unit > traffic > cars ).
thf(func_def_88,type,
sK27: view_e774982825t_unit > traffic > cars ).
thf(func_def_89,type,
sK28: ( nat > $o ) > nat ).
thf(func_def_90,type,
sK29: ( nat > $o ) > nat ).
thf(func_def_91,type,
sK30: view_e774982825t_unit > traffic > cars ).
thf(func_def_92,type,
sK31: view_e774982825t_unit > traffic > cars ).
thf(func_def_93,type,
sK32: ( nat > $o ) > nat ).
thf(func_def_94,type,
sK33: nat > ( nat > $o ) > nat ).
thf(func_def_95,type,
sK34: nat > nat > nat ).
thf(func_def_96,type,
sK35: nat > nat > nat ).
thf(func_def_97,type,
sK36: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_98,type,
sK37: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_99,type,
sK38: view_e774982825t_unit > traffic > cars ).
thf(func_def_100,type,
sK39: view_e774982825t_unit > traffic > cars ).
thf(func_def_101,type,
sK40: view_e774982825t_unit > traffic > cars ).
thf(func_def_102,type,
sK41: view_e774982825t_unit > traffic > cars ).
thf(func_def_103,type,
sK42: view_e774982825t_unit > traffic > cars > view_e774982825t_unit ).
thf(func_def_104,type,
sK43: view_e774982825t_unit > traffic > cars > view_e774982825t_unit ).
thf(func_def_105,type,
sK44: view_e774982825t_unit > traffic > cars > view_e774982825t_unit ).
thf(func_def_106,type,
sK45: view_e774982825t_unit > traffic > cars > view_e774982825t_unit ).
thf(func_def_107,type,
sK46: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_108,type,
sK47: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_109,type,
sK48: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_110,type,
sK49: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_111,type,
sK50: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_112,type,
sK51: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_113,type,
sK52: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_114,type,
sK53: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_115,type,
sK54: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > traffic ).
thf(func_def_116,type,
sK55: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > traffic ).
thf(func_def_117,type,
sK56: view_e774982825t_unit > traffic > cars > traffic ).
thf(func_def_118,type,
sK57: ( nat > nat ) > nat ).
thf(func_def_119,type,
sK58: ( nat > nat ) > nat ).
thf(func_def_120,type,
sK59: ( nat > $o ) > nat ).
thf(func_def_121,type,
sK60: nat > ( nat > $o ) > nat ).
thf(func_def_122,type,
sK61: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_123,type,
sK62: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_124,type,
sK63: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_125,type,
sK64: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_126,type,
sK65: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_127,type,
sK66: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_128,type,
sK67: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_129,type,
sK68: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_130,type,
sK69: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_131,type,
sK70: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_132,type,
sK71: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_133,type,
sK72: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_134,type,
sK73: cars > traffic > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_135,type,
sK74: cars > traffic > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_136,type,
sK75: cars > traffic > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_137,type,
sK76: cars > traffic > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_138,type,
sK77: view_e774982825t_unit > nat > nat > view_e774982825t_unit ).
thf(func_def_139,type,
sK78: view_e774982825t_unit > nat > nat > view_e774982825t_unit ).
thf(func_def_140,type,
sK79: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_141,type,
sK80: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_142,type,
sK81: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_143,type,
sK82: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_144,type,
sK83: view_e774982825t_unit ).
thf(func_def_145,type,
sK84: cars ).
thf(func_def_147,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_148,type,
sK86: ( 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_149,type,
sK87: ( 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_150,type,
sK88: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_151,type,
sK89: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_152,type,
sK90: ( 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_153,type,
sK91: ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_154,type,
sK92: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_155,type,
sK93: ( 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_156,type,
sK94: ( 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_157,type,
sK95: ( 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_158,type,
sK96: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_159,type,
sK97: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_160,type,
sK98: ( 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_161,type,
sK99: ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).
thf(func_def_162,type,
sK100: ( traffic > view_e774982825t_unit > $o ) > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_163,type,
sK101: ( 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_164,type,
sK102: traffic > cars > view_e774982825t_unit > traffic ).
thf(func_def_165,type,
sK103: traffic > view_e774982825t_unit > cars > view_e774982825t_unit ).
thf(func_def_166,type,
sK104: traffic > view_e774982825t_unit > cars > view_e774982825t_unit ).
thf(func_def_167,type,
sK105: view_e774982825t_unit > nat > view_e774982825t_unit ).
thf(func_def_168,type,
sK106: view_e774982825t_unit > real > view_e774982825t_unit ).
thf(func_def_169,type,
sK107: view_e774982825t_unit > view_e774982825t_unit ).
thf(func_def_170,type,
sK108: view_e774982825t_unit > traffic > cars ).
thf(func_def_171,type,
sK109: view_e774982825t_unit > traffic > view_e774982825t_unit ).
thf(f8715,plain,
$false,
inference(subsumption_resolution,[],[f8714,f1620]) ).
thf(f1620,plain,
vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK83),ts),c),
inference(cnf_transformation,[],[f1206]) ).
thf(f1206,plain,
( ( one_one_nat = vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,sK83)) )
& ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,sK83) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK83),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
& ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK83),ts),e) )
& ( $true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83))) )
& ( one_one_nat = vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,sK83)) )
& ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,sK83) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK83),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
& ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK83),ts),c) )
& ( $true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83))) )
& ( $true = vAPP(view_e774982825t_unit,$o,vAPP(view_e774982825t_unit,sTfun(view_e774982825t_unit,$o),ord_le461438217t_unit,sK83),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(skolemisation,[status(esa),new_symbols(skolem,[sK83])],[f764,f1205]) ).
thf(f1205,plain,
( ? [X0: view_e774982825t_unit] :
( ( one_one_nat = vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0)) )
& ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
& ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),e) )
& ( $true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0))) )
& ( one_one_nat = vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0)) )
& ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
& ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),c) )
& ( $true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0))) )
& ( $true = vAPP(view_e774982825t_unit,$o,vAPP(view_e774982825t_unit,sTfun(view_e774982825t_unit,$o),ord_le461438217t_unit,X0),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)) ) )
=> ( ( one_one_nat = vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,sK83)) )
& ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,sK83) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK83),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
& ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK83),ts),e) )
& ( $true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83))) )
& ( one_one_nat = vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,sK83)) )
& ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,sK83) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK83),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
& ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK83),ts),c) )
& ( $true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83))) )
& ( $true = vAPP(view_e774982825t_unit,$o,vAPP(view_e774982825t_unit,sTfun(view_e774982825t_unit,$o),ord_le461438217t_unit,sK83),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)) ) ) ),
introduced(choice_axiom,[]) ).
thf(f764,plain,
? [X0: view_e774982825t_unit] :
( ( one_one_nat = vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0)) )
& ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
& ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),e) )
& ( $true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0))) )
& ( one_one_nat = vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0)) )
& ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
& ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),c) )
& ( $true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0))) )
& ( $true = vAPP(view_e774982825t_unit,$o,vAPP(view_e774982825t_unit,sTfun(view_e774982825t_unit,$o),ord_le461438217t_unit,X0),vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,ts3),ts),v)) ) ),
inference(fool_elimination,[],[f763]) ).
thf(f763,plain,
? [X0: view_e774982825t_unit] :
( ( one_one_nat = vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0)) )
& ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
& ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),e) )
& vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0)))
& ( one_one_nat = vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0)) )
& ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
& ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),c) )
& vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0)))
& vAPP(view_e774982825t_unit,$o,vAPP(view_e774982825t_unit,sTfun(view_e774982825t_unit,$o),ord_le461438217t_unit,X0),vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,ts3),ts),v)) ),
inference(rectify,[],[f5]) ).
thf(f5,axiom,
? [X7: view_e774982825t_unit] :
( ( vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X7)) = one_one_nat )
& ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X7) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X7),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
& ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X7) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X7),ts),e) )
& vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X7)))
& ( vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X7)) = one_one_nat )
& ( vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X7),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) = vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X7) )
& ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X7) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X7),ts),c) )
& vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X7)))
& vAPP(view_e774982825t_unit,$o,vAPP(view_e774982825t_unit,sTfun(view_e774982825t_unit,$o),ord_le461438217t_unit,X7),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/sandbox2/benchmark/theBenchmark.p',fact_4__092_060open_062_092_060exists_062v_H_092_060le_062move_Ats_Ats_H_H_Av_O_A_I0_A_060_A_092_060parallel_062ext_Av_H_092_060parallel_062_A_092_060and_062_Alen_Av_H_Ats_H_H_Ac_A_061_Aext_Av_H_A_092_060and_062_Arestrict_Av_H_A_Ires_Ats_H_H_J_Ac_A_061_Alan_Av_H_A_092_060and_062_A_124lan_Av_H_124_A_061_A1_J_A_092_060and_062_A0_A_060_A_092_060parallel_062ext_Av_H_092_060parallel_062_A_092_060and_062_Alen_Av_H_Ats_H_H_Ae_A_061_Aext_Av_H_A_092_060and_062_Arestrict_Av_H_A_Ires_Ats_H_H_J_Ae_A_061_Alan_Av_H_A_092_060and_062_A_124lan_Av_H_124_A_061_A1_092_060close_062) ).
thf(f8714,plain,
vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK83),ts),c),
inference(subsumption_resolution,[],[f8713,f1621]) ).
thf(f1621,plain,
vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,sK83) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK83),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c),
inference(cnf_transformation,[],[f1206]) ).
thf(f8713,plain,
( ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,sK83) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK83),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK83),ts),c) ) ),
inference(subsumption_resolution,[],[f8712,f1623]) ).
thf(f1623,plain,
$true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83))),
inference(cnf_transformation,[],[f1206]) ).
thf(f8712,plain,
( ( $true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83))) )
| ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,sK83) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK83),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK83),ts),c) ) ),
inference(subsumption_resolution,[],[f8711,f1624]) ).
thf(f1624,plain,
vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK83),ts),e),
inference(cnf_transformation,[],[f1206]) ).
thf(f8711,plain,
( ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK83),ts),e) )
| ( $true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83))) )
| ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,sK83) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK83),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK83),ts),c) ) ),
inference(subsumption_resolution,[],[f8710,f2117]) ).
thf(f2117,plain,
$true = vAPP(view_e774982825t_unit,$o,vAPP(view_e774982825t_unit,sTfun(view_e774982825t_unit,$o),ord_le461438217t_unit,sK83),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(forward_demodulation,[],[f1618,f1213]) ).
thf(f1213,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),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_a),v),
inference(cnf_transformation,[],[f10]) ).
thf(f10,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),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_a),v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_move__stab) ).
thf(f1618,plain,
$true = vAPP(view_e774982825t_unit,$o,vAPP(view_e774982825t_unit,sTfun(view_e774982825t_unit,$o),ord_le461438217t_unit,sK83),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,[],[f1206]) ).
thf(f8710,plain,
( ( $true != vAPP(view_e774982825t_unit,$o,vAPP(view_e774982825t_unit,sTfun(view_e774982825t_unit,$o),ord_le461438217t_unit,sK83),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,real_int,ext_Product_unit,sK83) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK83),ts),e) )
| ( $true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83))) )
| ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,sK83) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK83),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK83),ts),c) ) ),
inference(subsumption_resolution,[],[f8709,f1626]) ).
thf(f1626,plain,
one_one_nat = vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,sK83)),
inference(cnf_transformation,[],[f1206]) ).
thf(f8709,plain,
( ( one_one_nat != vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,sK83)) )
| ( $true != vAPP(view_e774982825t_unit,$o,vAPP(view_e774982825t_unit,sTfun(view_e774982825t_unit,$o),ord_le461438217t_unit,sK83),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,real_int,ext_Product_unit,sK83) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK83),ts),e) )
| ( $true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83))) )
| ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,sK83) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK83),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK83),ts),c) ) ),
inference(trivial_inequality_removal,[],[f8708]) ).
thf(f8708,plain,
( ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,sK83) != vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,sK83) )
| ( one_one_nat != vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,sK83)) )
| ( $true != vAPP(view_e774982825t_unit,$o,vAPP(view_e774982825t_unit,sTfun(view_e774982825t_unit,$o),ord_le461438217t_unit,sK83),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,real_int,ext_Product_unit,sK83) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK83),ts),e) )
| ( $true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83))) )
| ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,sK83) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK83),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,sK83) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK83),ts),c) ) ),
inference(superposition,[],[f2100,f1625]) ).
thf(f1625,plain,
vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,sK83) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK83),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e),
inference(cnf_transformation,[],[f1206]) ).
thf(f2100,plain,
! [X0: view_e774982825t_unit] :
( ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
| ( one_one_nat != vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0)) )
| ( $true != vAPP(view_e774982825t_unit,$o,vAPP(view_e774982825t_unit,sTfun(view_e774982825t_unit,$o),ord_le461438217t_unit,X0),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,real_int,ext_Product_unit,X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),e) )
| ( $true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0))) )
| ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),c) ) ),
inference(backward_demodulation,[],[f2099,f1213]) ).
thf(f2099,plain,
! [X0: view_e774982825t_unit] :
( ( one_one_nat != vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0)) )
| ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
| ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),e) )
| ( $true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0))) )
| ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),c) )
| ( $true != vAPP(view_e774982825t_unit,$o,vAPP(view_e774982825t_unit,sTfun(view_e774982825t_unit,$o),ord_le461438217t_unit,X0),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(subsumption_resolution,[],[f2098,f1209]) ).
thf(f1209,plain,
thesis != $true,
inference(cnf_transformation,[],[f773]) ).
thf(f773,plain,
thesis != $true,
inference(flattening,[],[f290]) ).
thf(f290,plain,
thesis != $true,
inference(fool_elimination,[],[f289]) ).
thf(f289,plain,
~ thesis,
inference(rectify,[],[f286]) ).
thf(f286,negated_conjecture,
~ thesis,
inference(negated_conjecture,[],[f285]) ).
thf(f285,conjecture,
thesis,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(f2098,plain,
! [X0: view_e774982825t_unit] :
( ( thesis = $true )
| ( one_one_nat != vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0)) )
| ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
| ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),e) )
| ( $true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0))) )
| ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),c) )
| ( $true != vAPP(view_e774982825t_unit,$o,vAPP(view_e774982825t_unit,sTfun(view_e774982825t_unit,$o),ord_le461438217t_unit,X0),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(duplicate_literal_removal,[],[f1210]) ).
thf(f1210,plain,
! [X0: view_e774982825t_unit] :
( ( thesis = $true )
| ( one_one_nat != vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0)) )
| ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
| ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),e) )
| ( $true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0))) )
| ( one_one_nat != vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0)) )
| ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),c) )
| ( $true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0))) )
| ( $true != vAPP(view_e774982825t_unit,$o,vAPP(view_e774982825t_unit,sTfun(view_e774982825t_unit,$o),ord_le461438217t_unit,X0),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,[],[f839]) ).
thf(f839,plain,
! [X0: view_e774982825t_unit] :
( ( thesis = $true )
| ( one_one_nat != vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0)) )
| ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
| ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),e) )
| ( $true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0))) )
| ( one_one_nat != vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0)) )
| ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),c) )
| ( $true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0))) )
| ( $true != vAPP(view_e774982825t_unit,$o,vAPP(view_e774982825t_unit,sTfun(view_e774982825t_unit,$o),ord_le461438217t_unit,X0),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,[],[f838]) ).
thf(f838,plain,
! [X0: view_e774982825t_unit] :
( ( thesis = $true )
| ( one_one_nat != vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0)) )
| ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
| ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),e) )
| ( $true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0))) )
| ( one_one_nat != vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0)) )
| ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),c) )
| ( $true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0))) )
| ( $true != vAPP(view_e774982825t_unit,$o,vAPP(view_e774982825t_unit,sTfun(view_e774982825t_unit,$o),ord_le461438217t_unit,X0),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(ennf_transformation,[],[f292]) ).
thf(f292,plain,
! [X0: view_e774982825t_unit] :
( ( ( one_one_nat = vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0)) )
& ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
& ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),e) )
& ( $true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0))) )
& ( one_one_nat = vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0)) )
& ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
& ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),c) )
& ( $true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0))) )
& ( $true = vAPP(view_e774982825t_unit,$o,vAPP(view_e774982825t_unit,sTfun(view_e774982825t_unit,$o),ord_le461438217t_unit,X0),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)) ) )
=> ( thesis = $true ) ),
inference(fool_elimination,[],[f291]) ).
thf(f291,plain,
! [X0: view_e774982825t_unit] :
( ( ( one_one_nat = vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0)) )
& ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
& ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),e) )
& vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0)))
& ( one_one_nat = vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0)) )
& ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X0) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
& ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),c) )
& vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X0)))
& vAPP(view_e774982825t_unit,$o,vAPP(view_e774982825t_unit,sTfun(view_e774982825t_unit,$o),ord_le461438217t_unit,X0),vAPP(view_e774982825t_unit,view_e774982825t_unit,vAPP(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit),vAPP(traffic,sTfun(traffic,sTfun(view_e774982825t_unit,view_e774982825t_unit)),move,ts3),ts),v)) )
=> thesis ),
inference(rectify,[],[f284]) ).
thf(f284,axiom,
! [X87: view_e774982825t_unit] :
( ( ( one_one_nat = vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X87)) )
& ( vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X87) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X87),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
& ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X87) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X87),ts),e) )
& vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X87)))
& ( one_one_nat = vAPP(nat_int,nat,nat_card,vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X87)) )
& ( vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_e774982825t_unit,sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X87),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) = vAPP(view_e774982825t_unit,nat_int,lan_Product_unit,X87) )
& ( vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X87) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_e774982825t_unit,sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X87),ts),c) )
& vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_real,zero_zero_real),vAPP(real_int,real,real_length,vAPP(view_e774982825t_unit,real_int,ext_Product_unit,X87)))
& vAPP(view_e774982825t_unit,$o,vAPP(view_e774982825t_unit,sTfun(view_e774982825t_unit,$o),ord_le461438217t_unit,X87),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)) )
=> thesis ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP169^1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 19:11:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (8556)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.40 % (8560)WARNING: value z3 for option sas not known
% 0.20/0.40 % (8560)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)
% 0.20/0.41 % (8558)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.41 % (8559)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.41 % (8561)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.41 % (8562)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)
% 0.20/0.41 % (8563)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)
% 0.20/0.41 % (8564)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)
% 0.20/0.47 % (8564)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.49 % Exception at run slice level
% 0.20/0.49 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.49 % Exception at run slice level
% 0.20/0.49 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.49 % Exception at run slice level
% 0.20/0.49 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.50 % (8593)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.20/0.50 % (8594)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)
% 0.20/0.50 % (8595)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)
% 1.20/0.55 % (8593)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.20/0.55 % (8594)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.20/0.55 % Exception at run slice level
% 1.20/0.55 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.20/0.56 % (8624)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)
% 3.02/0.88 % (8595)First to succeed.
% 3.02/0.89 % (8595)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8556"
% 3.02/0.89 % (8595)Refutation found. Thanks to Tanya!
% 3.02/0.89 % SZS status Theorem for theBenchmark
% 3.02/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 3.02/0.89 % (8595)------------------------------
% 3.02/0.89 % (8595)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.02/0.89 % (8595)Termination reason: Refutation
% 3.02/0.89
% 3.02/0.89 % (8595)Memory used [KB]: 4803
% 3.02/0.89 % (8595)Time elapsed: 0.382 s
% 3.02/0.89 % (8595)Instructions burned: 1497 (million)
% 3.02/0.89 % (8556)Success in time 0.525 s
%------------------------------------------------------------------------------