TSTP Solution File: ITP169^2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP169^2 : 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 : 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 : Sun May 5 07:04:26 EDT 2024
% Result : Theorem 6.01s 1.22s
% Output : Refutation 6.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 195
% Syntax : Number of formulae : 228 ( 18 unt; 190 typ; 0 def)
% Number of atoms : 1136 ( 163 equ; 0 cnn)
% Maximal formula atoms : 18 ( 29 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 : 532 ( 531 >; 1 *; 0 +; 0 <<)
% Number of symbols : 183 ( 180 usr; 14 con; 0-6 aty)
% Number of variables : 60 ( 0 ^ 9 !; 4 ?; 60 :)
% ( 47 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_6,type,
cars: $tType ).
thf(type_def_7,type,
traffic: $tType ).
thf(type_def_8,type,
real: $tType ).
thf(type_def_9,type,
product_unit: $tType ).
thf(type_def_10,type,
view_ext: $tType > $tType ).
thf(type_def_11,type,
real_int: $tType ).
thf(type_def_12,type,
nat_int: $tType ).
thf(type_def_13,type,
nat: $tType ).
thf(func_def_0,type,
view_ext: $tType > $tType ).
thf(func_def_1,type,
product_unit: $tType ).
thf(func_def_2,type,
real_int: $tType ).
thf(func_def_3,type,
traffic: $tType ).
thf(func_def_4,type,
nat_int: $tType ).
thf(func_def_5,type,
real: $tType ).
thf(func_def_6,type,
cars: $tType ).
thf(func_def_7,type,
nat: $tType ).
thf(func_def_8,type,
one:
!>[X0: $tType] : $o ).
thf(func_def_9,type,
zero:
!>[X0: $tType] : $o ).
thf(func_def_10,type,
monoid_add:
!>[X0: $tType] : $o ).
thf(func_def_11,type,
wellorder:
!>[X0: $tType] : $o ).
thf(func_def_12,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
thf(func_def_13,type,
cancel1352612707id_add:
!>[X0: $tType] : $o ).
thf(func_def_14,type,
linord219039673up_add:
!>[X0: $tType] : $o ).
thf(func_def_15,type,
ordere779506340up_add:
!>[X0: $tType] : $o ).
thf(func_def_16,type,
canoni770627133id_add:
!>[X0: $tType] : $o ).
thf(func_def_17,type,
ordere236663937imp_le:
!>[X0: $tType] : $o ).
thf(func_def_18,type,
ordere223160158up_add:
!>[X0: $tType] : $o ).
thf(func_def_19,type,
strict2144017051up_add:
!>[X0: $tType] : $o ).
thf(func_def_20,type,
ordere516151231imp_le:
!>[X0: $tType] : $o ).
thf(func_def_21,type,
one_one:
!>[X0: $tType] : X0 ).
thf(func_def_22,type,
plus_plus:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_23,type,
zero_zero:
!>[X0: $tType] : X0 ).
thf(func_def_24,type,
len: ( cars > traffic > cars > real ) > view_ext(product_unit) > traffic > cars > real_int ).
thf(func_def_25,type,
move: traffic > traffic > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_26,type,
nat_card: nat_int > nat ).
thf(func_def_27,type,
bot_bot:
!>[X0: $tType] : X0 ).
thf(func_def_28,type,
ord_less:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_29,type,
ord_less_eq:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_30,type,
real_length: real_int > real ).
thf(func_def_31,type,
regular_regular: cars > traffic > cars > real ).
thf(func_def_32,type,
restrict: view_ext(product_unit) > ( cars > nat_int ) > cars > nat_int ).
thf(func_def_33,type,
abstract: traffic > traffic > $o ).
thf(func_def_34,type,
clm: traffic > cars > nat_int ).
thf(func_def_35,type,
create_claim: traffic > cars > nat > traffic > $o ).
thf(func_def_36,type,
create_reservation: traffic > cars > traffic > $o ).
thf(func_def_37,type,
res: traffic > cars > nat_int ).
thf(func_def_38,type,
withdraw_claim: traffic > cars > traffic > $o ).
thf(func_def_39,type,
withdraw_reservation: traffic > cars > nat > traffic > $o ).
thf(func_def_40,type,
ext:
!>[X0: $tType] : ( view_ext(X0) > real_int ) ).
thf(func_def_41,type,
hchop: view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) > $o ).
thf(func_def_42,type,
lan:
!>[X0: $tType] : ( view_ext(X0) > nat_int ) ).
thf(func_def_43,type,
own:
!>[X0: $tType] : ( view_ext(X0) > cars ) ).
thf(func_def_44,type,
vchop: view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) > $o ).
thf(func_def_45,type,
c: cars ).
thf(func_def_46,type,
d: cars ).
thf(func_def_47,type,
e: cars ).
thf(func_def_48,type,
thesis: $o ).
thf(func_def_49,type,
ts: traffic ).
thf(func_def_50,type,
ts2: traffic ).
thf(func_def_51,type,
ts_a: traffic ).
thf(func_def_52,type,
ts3: traffic ).
thf(func_def_53,type,
v: view_ext(product_unit) ).
thf(func_def_57,type,
vOR: $o > $o > $o ).
thf(func_def_58,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_59,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_60,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_61,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_62,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_63,type,
vAND: $o > $o > $o ).
thf(func_def_64,type,
vNOT: $o > $o ).
thf(func_def_65,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_66,type,
vIMP: $o > $o > $o ).
thf(func_def_67,type,
sP0: view_ext(product_unit) > traffic > $o ).
thf(func_def_68,type,
sP1: view_ext(product_unit) > traffic > $o ).
thf(func_def_69,type,
sP2: view_ext(product_unit) > traffic > $o ).
thf(func_def_70,type,
sP3: view_ext(product_unit) > traffic > $o ).
thf(func_def_71,type,
sP4: view_ext(product_unit) > traffic > cars > $o ).
thf(func_def_72,type,
sP5: view_ext(product_unit) > traffic > cars > $o ).
thf(func_def_73,type,
sP6: traffic > cars > view_ext(product_unit) > $o ).
thf(func_def_74,type,
sP7: traffic > cars > view_ext(product_unit) > $o ).
thf(func_def_75,type,
sP8: traffic > cars > view_ext(product_unit) > $o ).
thf(func_def_76,type,
sP9: traffic > cars > view_ext(product_unit) > $o ).
thf(func_def_77,type,
sP10:
!>[X0: $tType] : ( ( X0 > nat ) > ( X0 > $o ) > $o ) ).
thf(func_def_78,type,
sK11: cars ).
thf(func_def_79,type,
sK12:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_80,type,
sK13: view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_81,type,
sK14: view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_82,type,
sK15: view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_83,type,
sK16: view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_84,type,
sK17: view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_85,type,
sK18: view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_86,type,
sK19: view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_87,type,
sK20: view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_88,type,
sK21: view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_89,type,
sK22: view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_90,type,
sK23: view_ext(product_unit) > traffic > cars ).
thf(func_def_91,type,
sK24: view_ext(product_unit) > traffic > cars ).
thf(func_def_92,type,
sK25: view_ext(product_unit) > traffic > cars ).
thf(func_def_93,type,
sK26: view_ext(product_unit) > traffic > view_ext(product_unit) ).
thf(func_def_94,type,
sK27: view_ext(product_unit) > traffic > view_ext(product_unit) ).
thf(func_def_95,type,
sK28: view_ext(product_unit) > traffic > cars ).
thf(func_def_96,type,
sK29: view_ext(product_unit) > traffic > cars ).
thf(func_def_97,type,
sK30: ( nat > $o ) > nat ).
thf(func_def_98,type,
sK31: ( nat > $o ) > nat ).
thf(func_def_99,type,
sK32: view_ext(product_unit) > traffic > cars ).
thf(func_def_100,type,
sK33: view_ext(product_unit) > traffic > cars ).
thf(func_def_101,type,
sK34:
!>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X1 > X0 ) > X1 ) ).
thf(func_def_102,type,
sK35:
!>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X1 > X0 ) > X1 ) ).
thf(func_def_103,type,
sK36: nat > ( nat > $o ) > nat ).
thf(func_def_104,type,
sK37: ( nat > $o ) > nat ).
thf(func_def_105,type,
sK38: nat > nat > nat ).
thf(func_def_106,type,
sK39: view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_107,type,
sK40: view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_108,type,
sK41: view_ext(product_unit) > traffic > cars ).
thf(func_def_109,type,
sK42: view_ext(product_unit) > traffic > cars ).
thf(func_def_110,type,
sK43: view_ext(product_unit) > traffic > cars ).
thf(func_def_111,type,
sK44: view_ext(product_unit) > traffic > cars ).
thf(func_def_112,type,
sK45: view_ext(product_unit) > traffic > cars > view_ext(product_unit) ).
thf(func_def_113,type,
sK46: view_ext(product_unit) > traffic > cars > view_ext(product_unit) ).
thf(func_def_114,type,
sK47: view_ext(product_unit) > traffic > cars > view_ext(product_unit) ).
thf(func_def_115,type,
sK48: view_ext(product_unit) > traffic > cars > view_ext(product_unit) ).
thf(func_def_116,type,
sK49: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_117,type,
sK50: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_118,type,
sK51: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_119,type,
sK52: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_120,type,
sK53: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_121,type,
sK54: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_122,type,
sK55: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_123,type,
sK56: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_124,type,
sK57: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > traffic ).
thf(func_def_125,type,
sK58: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > traffic ).
thf(func_def_126,type,
sK59: view_ext(product_unit) > traffic > cars > traffic ).
thf(func_def_127,type,
sK60: ( nat > nat ) > nat ).
thf(func_def_128,type,
sK61: ( nat > nat ) > nat ).
thf(func_def_129,type,
sK62: ( nat > $o ) > nat ).
thf(func_def_130,type,
sK63: nat > ( nat > $o ) > nat ).
thf(func_def_131,type,
sK64: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_132,type,
sK65: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_133,type,
sK66: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_134,type,
sK67: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_135,type,
sK68: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_136,type,
sK69: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_137,type,
sK70: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_138,type,
sK71: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_139,type,
sK72: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_140,type,
sK73: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_141,type,
sK74: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_142,type,
sK75: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_143,type,
sK76: cars > traffic > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_144,type,
sK77: cars > traffic > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_145,type,
sK78: cars > traffic > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_146,type,
sK79: cars > traffic > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_147,type,
sK80: view_ext(product_unit) > nat > nat > view_ext(product_unit) ).
thf(func_def_148,type,
sK81: view_ext(product_unit) > nat > nat > view_ext(product_unit) ).
thf(func_def_149,type,
sK82:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 ) ).
thf(func_def_150,type,
sK83:
!>[X0: $tType] : ( ( X0 > nat ) > ( X0 > $o ) > X0 ) ).
thf(func_def_151,type,
sK84:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > nat ) > X0 ) ).
thf(func_def_152,type,
sK85:
!>[X0: $tType] : ( ( X0 > nat ) > ( X0 > $o ) > X0 ) ).
thf(func_def_153,type,
sK86: view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_154,type,
sK87: view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_155,type,
sK88: view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_156,type,
sK89: view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_157,type,
sK90: view_ext(product_unit) ).
thf(func_def_158,type,
sK91: cars ).
thf(func_def_160,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_161,type,
sK93: ( traffic > view_ext(product_unit) > $o ) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_162,type,
sK94: ( traffic > view_ext(product_unit) > $o ) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_163,type,
sK95: ( traffic > view_ext(product_unit) > $o ) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_164,type,
sK96: ( traffic > view_ext(product_unit) > $o ) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_165,type,
sK97: ( traffic > view_ext(product_unit) > $o ) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_166,type,
sK98: ( traffic > view_ext(product_unit) > $o ) > traffic > view_ext(product_unit) > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_167,type,
sK99: ( traffic > view_ext(product_unit) > $o ) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_168,type,
sK100: ( traffic > view_ext(product_unit) > $o ) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_169,type,
sK101: ( traffic > view_ext(product_unit) > $o ) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_170,type,
sK102: ( traffic > view_ext(product_unit) > $o ) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_171,type,
sK103: ( traffic > view_ext(product_unit) > $o ) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_172,type,
sK104: ( traffic > view_ext(product_unit) > $o ) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_173,type,
sK105: ( traffic > view_ext(product_unit) > $o ) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_174,type,
sK106: ( traffic > view_ext(product_unit) > $o ) > traffic > view_ext(product_unit) > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_175,type,
sK107: ( traffic > view_ext(product_unit) > $o ) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_176,type,
sK108: ( traffic > view_ext(product_unit) > $o ) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_177,type,
sK109: traffic > cars > view_ext(product_unit) > traffic ).
thf(func_def_178,type,
sK110: traffic > view_ext(product_unit) > cars > view_ext(product_unit) ).
thf(func_def_179,type,
sK111: traffic > view_ext(product_unit) > cars > view_ext(product_unit) ).
thf(func_def_180,type,
sK112: view_ext(product_unit) > nat > view_ext(product_unit) ).
thf(func_def_181,type,
sK113: view_ext(product_unit) > real > view_ext(product_unit) ).
thf(func_def_182,type,
sK114: view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_183,type,
sK115: view_ext(product_unit) > traffic > cars ).
thf(func_def_184,type,
sK116: view_ext(product_unit) > traffic > view_ext(product_unit) ).
thf(f18134,plain,
$false,
inference(subsumption_resolution,[],[f18133,f1648]) ).
thf(f1648,plain,
vAPP(view_ext(product_unit),real_int,ext(product_unit),sK90) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK90),ts),c),
inference(cnf_transformation,[],[f1257]) ).
thf(f1257,plain,
( ( one_one(nat) = vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),sK90)) )
& ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),sK90) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK90),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
& ( vAPP(view_ext(product_unit),real_int,ext(product_unit),sK90) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK90),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_ext(product_unit),real_int,ext(product_unit),sK90))) )
& ( one_one(nat) = vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),sK90)) )
& ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),sK90) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK90),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
& ( vAPP(view_ext(product_unit),real_int,ext(product_unit),sK90) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK90),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_ext(product_unit),real_int,ext(product_unit),sK90))) )
& ( $true = vAPP(view_ext(product_unit),$o,vAPP(view_ext(product_unit),sTfun(view_ext(product_unit),$o),ord_less_eq(view_ext(product_unit)),sK90),vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts),v)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK90])],[f760,f1256]) ).
thf(f1256,plain,
( ? [X0: view_ext(product_unit)] :
( ( one_one(nat) = vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0)) )
& ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
& ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X0) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_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_ext(product_unit),real_int,ext(product_unit),X0))) )
& ( one_one(nat) = vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0)) )
& ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
& ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X0) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_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_ext(product_unit),real_int,ext(product_unit),X0))) )
& ( $true = vAPP(view_ext(product_unit),$o,vAPP(view_ext(product_unit),sTfun(view_ext(product_unit),$o),ord_less_eq(view_ext(product_unit)),X0),vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts),v)) ) )
=> ( ( one_one(nat) = vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),sK90)) )
& ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),sK90) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK90),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
& ( vAPP(view_ext(product_unit),real_int,ext(product_unit),sK90) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK90),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_ext(product_unit),real_int,ext(product_unit),sK90))) )
& ( one_one(nat) = vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),sK90)) )
& ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),sK90) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK90),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
& ( vAPP(view_ext(product_unit),real_int,ext(product_unit),sK90) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK90),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_ext(product_unit),real_int,ext(product_unit),sK90))) )
& ( $true = vAPP(view_ext(product_unit),$o,vAPP(view_ext(product_unit),sTfun(view_ext(product_unit),$o),ord_less_eq(view_ext(product_unit)),sK90),vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts),v)) ) ) ),
introduced(choice_axiom,[]) ).
thf(f760,plain,
? [X0: view_ext(product_unit)] :
( ( one_one(nat) = vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0)) )
& ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
& ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X0) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_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_ext(product_unit),real_int,ext(product_unit),X0))) )
& ( one_one(nat) = vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0)) )
& ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
& ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X0) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_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_ext(product_unit),real_int,ext(product_unit),X0))) )
& ( $true = vAPP(view_ext(product_unit),$o,vAPP(view_ext(product_unit),sTfun(view_ext(product_unit),$o),ord_less_eq(view_ext(product_unit)),X0),vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts),v)) ) ),
inference(fool_elimination,[],[f759]) ).
thf(f759,plain,
? [X0: view_ext(product_unit)] :
( ( one_one(nat) = vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0)) )
& ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
& ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X0) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),e) )
& vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less(real),zero_zero(real)),vAPP(real_int,real,real_length,vAPP(view_ext(product_unit),real_int,ext(product_unit),X0)))
& ( one_one(nat) = vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0)) )
& ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
& ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X0) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),c) )
& vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less(real),zero_zero(real)),vAPP(real_int,real,real_length,vAPP(view_ext(product_unit),real_int,ext(product_unit),X0)))
& vAPP(view_ext(product_unit),$o,vAPP(view_ext(product_unit),sTfun(view_ext(product_unit),$o),ord_less_eq(view_ext(product_unit)),X0),vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts),v)) ),
inference(rectify,[],[f5]) ).
thf(f5,axiom,
? [X9: view_ext(product_unit)] :
( ( vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),X9)) = one_one(nat) )
& ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X9) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X9),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
& ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X9) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X9),ts),e) )
& vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less(real),zero_zero(real)),vAPP(real_int,real,real_length,vAPP(view_ext(product_unit),real_int,ext(product_unit),X9)))
& ( vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),X9)) = one_one(nat) )
& ( vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X9),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) = vAPP(view_ext(product_unit),nat_int,lan(product_unit),X9) )
& ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X9) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X9),ts),c) )
& vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less(real),zero_zero(real)),vAPP(real_int,real,real_length,vAPP(view_ext(product_unit),real_int,ext(product_unit),X9)))
& vAPP(view_ext(product_unit),$o,vAPP(view_ext(product_unit),sTfun(view_ext(product_unit),$o),ord_less_eq(view_ext(product_unit)),X9),vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts),v)) ),
file('/export/starexec/sandbox/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(f18133,plain,
vAPP(view_ext(product_unit),real_int,ext(product_unit),sK90) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK90),ts),c),
inference(subsumption_resolution,[],[f18132,f1649]) ).
thf(f1649,plain,
vAPP(view_ext(product_unit),nat_int,lan(product_unit),sK90) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK90),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c),
inference(cnf_transformation,[],[f1257]) ).
thf(f18132,plain,
( ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),sK90) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK90),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_ext(product_unit),real_int,ext(product_unit),sK90) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK90),ts),c) ) ),
inference(subsumption_resolution,[],[f18131,f1651]) ).
thf(f1651,plain,
$true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less(real),zero_zero(real)),vAPP(real_int,real,real_length,vAPP(view_ext(product_unit),real_int,ext(product_unit),sK90))),
inference(cnf_transformation,[],[f1257]) ).
thf(f18131,plain,
( ( $true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less(real),zero_zero(real)),vAPP(real_int,real,real_length,vAPP(view_ext(product_unit),real_int,ext(product_unit),sK90))) )
| ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),sK90) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK90),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_ext(product_unit),real_int,ext(product_unit),sK90) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK90),ts),c) ) ),
inference(subsumption_resolution,[],[f18130,f1652]) ).
thf(f1652,plain,
vAPP(view_ext(product_unit),real_int,ext(product_unit),sK90) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK90),ts),e),
inference(cnf_transformation,[],[f1257]) ).
thf(f18130,plain,
( ( vAPP(view_ext(product_unit),real_int,ext(product_unit),sK90) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK90),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_ext(product_unit),real_int,ext(product_unit),sK90))) )
| ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),sK90) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK90),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_ext(product_unit),real_int,ext(product_unit),sK90) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK90),ts),c) ) ),
inference(subsumption_resolution,[],[f18129,f2091]) ).
thf(f2091,plain,
$true = vAPP(view_ext(product_unit),$o,vAPP(view_ext(product_unit),sTfun(view_ext(product_unit),$o),ord_less_eq(view_ext(product_unit)),sK90),vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts_a),v)),
inference(forward_demodulation,[],[f1646,f1264]) ).
thf(f1264,plain,
vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts),v) = vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts_a),v),
inference(cnf_transformation,[],[f10]) ).
thf(f10,axiom,
vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts),v) = vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts_a),v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_move__stab) ).
thf(f1646,plain,
$true = vAPP(view_ext(product_unit),$o,vAPP(view_ext(product_unit),sTfun(view_ext(product_unit),$o),ord_less_eq(view_ext(product_unit)),sK90),vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts),v)),
inference(cnf_transformation,[],[f1257]) ).
thf(f18129,plain,
( ( $true != vAPP(view_ext(product_unit),$o,vAPP(view_ext(product_unit),sTfun(view_ext(product_unit),$o),ord_less_eq(view_ext(product_unit)),sK90),vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts_a),v)) )
| ( vAPP(view_ext(product_unit),real_int,ext(product_unit),sK90) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK90),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_ext(product_unit),real_int,ext(product_unit),sK90))) )
| ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),sK90) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK90),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_ext(product_unit),real_int,ext(product_unit),sK90) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK90),ts),c) ) ),
inference(subsumption_resolution,[],[f18128,f1654]) ).
thf(f1654,plain,
one_one(nat) = vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),sK90)),
inference(cnf_transformation,[],[f1257]) ).
thf(f18128,plain,
( ( one_one(nat) != vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),sK90)) )
| ( $true != vAPP(view_ext(product_unit),$o,vAPP(view_ext(product_unit),sTfun(view_ext(product_unit),$o),ord_less_eq(view_ext(product_unit)),sK90),vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts_a),v)) )
| ( vAPP(view_ext(product_unit),real_int,ext(product_unit),sK90) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK90),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_ext(product_unit),real_int,ext(product_unit),sK90))) )
| ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),sK90) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK90),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_ext(product_unit),real_int,ext(product_unit),sK90) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK90),ts),c) ) ),
inference(trivial_inequality_removal,[],[f18127]) ).
thf(f18127,plain,
( ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),sK90) != vAPP(view_ext(product_unit),nat_int,lan(product_unit),sK90) )
| ( one_one(nat) != vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),sK90)) )
| ( $true != vAPP(view_ext(product_unit),$o,vAPP(view_ext(product_unit),sTfun(view_ext(product_unit),$o),ord_less_eq(view_ext(product_unit)),sK90),vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts_a),v)) )
| ( vAPP(view_ext(product_unit),real_int,ext(product_unit),sK90) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK90),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_ext(product_unit),real_int,ext(product_unit),sK90))) )
| ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),sK90) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK90),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_ext(product_unit),real_int,ext(product_unit),sK90) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),sK90),ts),c) ) ),
inference(superposition,[],[f2088,f1653]) ).
thf(f1653,plain,
vAPP(view_ext(product_unit),nat_int,lan(product_unit),sK90) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,sK90),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e),
inference(cnf_transformation,[],[f1257]) ).
thf(f2088,plain,
! [X0: view_ext(product_unit)] :
( ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_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_ext(product_unit),nat_int,lan(product_unit),X0)) )
| ( $true != vAPP(view_ext(product_unit),$o,vAPP(view_ext(product_unit),sTfun(view_ext(product_unit),$o),ord_less_eq(view_ext(product_unit)),X0),vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts_a),v)) )
| ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_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_ext(product_unit),real_int,ext(product_unit),X0))) )
| ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),c) ) ),
inference(backward_demodulation,[],[f2087,f1264]) ).
thf(f2087,plain,
! [X0: view_ext(product_unit)] :
( ( one_one(nat) != vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0)) )
| ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
| ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_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_ext(product_unit),real_int,ext(product_unit),X0))) )
| ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),c) )
| ( $true != vAPP(view_ext(product_unit),$o,vAPP(view_ext(product_unit),sTfun(view_ext(product_unit),$o),ord_less_eq(view_ext(product_unit)),X0),vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts),v)) ) ),
inference(subsumption_resolution,[],[f2086,f1260]) ).
thf(f1260,plain,
thesis != $true,
inference(cnf_transformation,[],[f817]) ).
thf(f817,plain,
thesis != $true,
inference(flattening,[],[f284]) ).
thf(f284,plain,
thesis != $true,
inference(fool_elimination,[],[f283]) ).
thf(f283,plain,
~ thesis,
inference(rectify,[],[f280]) ).
thf(f280,negated_conjecture,
~ thesis,
inference(negated_conjecture,[],[f279]) ).
thf(f279,conjecture,
thesis,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(f2086,plain,
! [X0: view_ext(product_unit)] :
( ( thesis = $true )
| ( one_one(nat) != vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0)) )
| ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
| ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_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_ext(product_unit),real_int,ext(product_unit),X0))) )
| ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),c) )
| ( $true != vAPP(view_ext(product_unit),$o,vAPP(view_ext(product_unit),sTfun(view_ext(product_unit),$o),ord_less_eq(view_ext(product_unit)),X0),vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts),v)) ) ),
inference(duplicate_literal_removal,[],[f1261]) ).
thf(f1261,plain,
! [X0: view_ext(product_unit)] :
( ( thesis = $true )
| ( one_one(nat) != vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0)) )
| ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
| ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_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_ext(product_unit),real_int,ext(product_unit),X0))) )
| ( one_one(nat) != vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0)) )
| ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_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_ext(product_unit),real_int,ext(product_unit),X0))) )
| ( $true != vAPP(view_ext(product_unit),$o,vAPP(view_ext(product_unit),sTfun(view_ext(product_unit),$o),ord_less_eq(view_ext(product_unit)),X0),vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts),v)) ) ),
inference(cnf_transformation,[],[f856]) ).
thf(f856,plain,
! [X0: view_ext(product_unit)] :
( ( thesis = $true )
| ( one_one(nat) != vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0)) )
| ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
| ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_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_ext(product_unit),real_int,ext(product_unit),X0))) )
| ( one_one(nat) != vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0)) )
| ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_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_ext(product_unit),real_int,ext(product_unit),X0))) )
| ( $true != vAPP(view_ext(product_unit),$o,vAPP(view_ext(product_unit),sTfun(view_ext(product_unit),$o),ord_less_eq(view_ext(product_unit)),X0),vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts),v)) ) ),
inference(flattening,[],[f855]) ).
thf(f855,plain,
! [X0: view_ext(product_unit)] :
( ( thesis = $true )
| ( one_one(nat) != vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0)) )
| ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
| ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_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_ext(product_unit),real_int,ext(product_unit),X0))) )
| ( one_one(nat) != vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0)) )
| ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0) != vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
| ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X0) != vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_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_ext(product_unit),real_int,ext(product_unit),X0))) )
| ( $true != vAPP(view_ext(product_unit),$o,vAPP(view_ext(product_unit),sTfun(view_ext(product_unit),$o),ord_less_eq(view_ext(product_unit)),X0),vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts),v)) ) ),
inference(ennf_transformation,[],[f286]) ).
thf(f286,plain,
! [X0: view_ext(product_unit)] :
( ( ( one_one(nat) = vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0)) )
& ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
& ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X0) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_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_ext(product_unit),real_int,ext(product_unit),X0))) )
& ( one_one(nat) = vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0)) )
& ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
& ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X0) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_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_ext(product_unit),real_int,ext(product_unit),X0))) )
& ( $true = vAPP(view_ext(product_unit),$o,vAPP(view_ext(product_unit),sTfun(view_ext(product_unit),$o),ord_less_eq(view_ext(product_unit)),X0),vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts),v)) ) )
=> ( thesis = $true ) ),
inference(fool_elimination,[],[f285]) ).
thf(f285,plain,
! [X0: view_ext(product_unit)] :
( ( ( one_one(nat) = vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0)) )
& ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
& ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X0) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),e) )
& vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less(real),zero_zero(real)),vAPP(real_int,real,real_length,vAPP(view_ext(product_unit),real_int,ext(product_unit),X0)))
& ( one_one(nat) = vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0)) )
& ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X0) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X0),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) )
& ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X0) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X0),ts),c) )
& vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less(real),zero_zero(real)),vAPP(real_int,real,real_length,vAPP(view_ext(product_unit),real_int,ext(product_unit),X0)))
& vAPP(view_ext(product_unit),$o,vAPP(view_ext(product_unit),sTfun(view_ext(product_unit),$o),ord_less_eq(view_ext(product_unit)),X0),vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts),v)) )
=> thesis ),
inference(rectify,[],[f278]) ).
thf(f278,axiom,
! [X92: view_ext(product_unit)] :
( ( ( one_one(nat) = vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),X92)) )
& ( vAPP(view_ext(product_unit),nat_int,lan(product_unit),X92) = vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X92),vAPP(traffic,sTfun(cars,nat_int),res,ts)),e) )
& ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X92) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X92),ts),e) )
& vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less(real),zero_zero(real)),vAPP(real_int,real,real_length,vAPP(view_ext(product_unit),real_int,ext(product_unit),X92)))
& ( one_one(nat) = vAPP(nat_int,nat,nat_card,vAPP(view_ext(product_unit),nat_int,lan(product_unit),X92)) )
& ( vAPP(cars,nat_int,vAPP(sTfun(cars,nat_int),sTfun(cars,nat_int),vAPP(view_ext(product_unit),sTfun(sTfun(cars,nat_int),sTfun(cars,nat_int)),restrict,X92),vAPP(traffic,sTfun(cars,nat_int),res,ts)),c) = vAPP(view_ext(product_unit),nat_int,lan(product_unit),X92) )
& ( vAPP(view_ext(product_unit),real_int,ext(product_unit),X92) = vAPP(cars,real_int,vAPP(traffic,sTfun(cars,real_int),vAPP(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int)),vAPP(sTfun(cars,sTfun(traffic,sTfun(cars,real))),sTfun(view_ext(product_unit),sTfun(traffic,sTfun(cars,real_int))),len,regular_regular),X92),ts),c) )
& vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less(real),zero_zero(real)),vAPP(real_int,real,real_length,vAPP(view_ext(product_unit),real_int,ext(product_unit),X92)))
& vAPP(view_ext(product_unit),$o,vAPP(view_ext(product_unit),sTfun(view_ext(product_unit),$o),ord_less_eq(view_ext(product_unit)),X92),vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,ts3),ts),v)) )
=> thesis ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ITP169^2 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 19:10:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (17525)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (17528)WARNING: value z3 for option sas not known
% 0.14/0.39 % (17529)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (17527)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (17526)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (17530)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)
% 0.14/0.39 % (17531)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)
% 0.14/0.39 % (17532)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)
% 0.14/0.39 % (17528)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)
% 0.20/0.45 % (17532)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.48 % Exception at run slice level
% 0.20/0.48 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.48 % Exception at run slice level
% 0.20/0.48 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.48 % Exception at run slice level
% 0.20/0.48 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.49 % (17544)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)
% 0.20/0.49 % (17543)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)
% 0.20/0.49 % (17542)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.20/0.53 % (17543)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.56 % (17542)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.48/0.57 % Exception at run slice level
% 1.48/0.57 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.65/0.59 % (17585)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)
% 6.01/1.21 % (17544)First to succeed.
% 6.01/1.21 % (17544)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17525"
% 6.01/1.22 % (17544)Refutation found. Thanks to Tanya!
% 6.01/1.22 % SZS status Theorem for theBenchmark
% 6.01/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 6.01/1.22 % (17544)------------------------------
% 6.01/1.22 % (17544)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 6.01/1.22 % (17544)Termination reason: Refutation
% 6.01/1.22
% 6.01/1.22 % (17544)Memory used [KB]: 6134
% 6.01/1.22 % (17544)Time elapsed: 0.726 s
% 6.01/1.22 % (17544)Instructions burned: 2942 (million)
% 6.01/1.22 % (17525)Success in time 0.835 s
%------------------------------------------------------------------------------