TSTP Solution File: ITP168^2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP168^2 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : 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 : Mon May 20 22:54:19 EDT 2024
% Result : Theorem 69.97s 10.38s
% Output : Refutation 69.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 271
% Syntax : Number of formulae : 303 ( 22 unt; 263 typ; 0 def)
% Number of atoms : 383 ( 55 equ; 0 cnn)
% Maximal formula atoms : 3 ( 9 avg)
% Number of connectives : 56 ( 24 ~; 19 |; 3 &; 0 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 767 ( 766 >; 1 *; 0 +; 0 <<)
% Number of symbols : 252 ( 249 usr; 9 con; 0-6 aty)
% Number of variables : 189 ( 0 ^ 51 !; 7 ?; 189 :)
% ( 131 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_6,type,
traffic: $tType ).
thf(type_def_7,type,
product_unit: $tType ).
thf(type_def_8,type,
view_ext: $tType > $tType ).
thf(type_def_9,type,
nat_int: $tType ).
thf(type_def_10,type,
nat: $tType ).
thf(type_def_11,type,
real_int: $tType ).
thf(type_def_12,type,
real: $tType ).
thf(type_def_13,type,
cars: $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,
type:
!>[X0: $tType] : $o ).
thf(func_def_9,type,
minus:
!>[X0: $tType] : $o ).
thf(func_def_10,type,
bot:
!>[X0: $tType] : $o ).
thf(func_def_11,type,
ord:
!>[X0: $tType] : $o ).
thf(func_def_12,type,
order:
!>[X0: $tType] : $o ).
thf(func_def_13,type,
group_add:
!>[X0: $tType] : $o ).
thf(func_def_14,type,
no_bot:
!>[X0: $tType] : $o ).
thf(func_def_15,type,
no_top:
!>[X0: $tType] : $o ).
thf(func_def_16,type,
linorder:
!>[X0: $tType] : $o ).
thf(func_def_17,type,
preorder:
!>[X0: $tType] : $o ).
thf(func_def_18,type,
order_bot:
!>[X0: $tType] : $o ).
thf(func_def_19,type,
wellorder:
!>[X0: $tType] : $o ).
thf(func_def_20,type,
dense_order:
!>[X0: $tType] : $o ).
thf(func_def_21,type,
dense_linorder:
!>[X0: $tType] : $o ).
thf(func_def_22,type,
ordered_ab_group_add:
!>[X0: $tType] : $o ).
thf(func_def_23,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
thf(func_def_24,type,
fun_upd:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 > X1 > X0 > X1 ) ).
thf(func_def_25,type,
minus_minus:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_26,type,
default_default:
!>[X0: $tType] : X0 ).
thf(func_def_27,type,
if:
!>[X0: $tType] : ( $o > X0 > X0 > X0 ) ).
thf(func_def_28,type,
move: traffic > traffic > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_29,type,
nat_N_Chop: nat_int > nat_int > nat_int > $o ).
thf(func_def_30,type,
nat_card: nat_int > nat ).
thf(func_def_31,type,
nat_consec: nat_int > nat_int > $o ).
thf(func_def_32,type,
nat_not_in: nat > nat_int > $o ).
thf(func_def_33,type,
nat_union: nat_int > nat_int > nat_int ).
thf(func_def_34,type,
bot_bot:
!>[X0: $tType] : X0 ).
thf(func_def_35,type,
ord_less:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_36,type,
ord_less_eq:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_37,type,
order_Greatest:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_38,type,
product_Unity: product_unit ).
thf(func_def_39,type,
product_rec_unit:
!>[X0: $tType] : ( X0 > product_unit > X0 ) ).
thf(func_def_40,type,
real_R_Chop: real_int > real_int > real_int > $o ).
thf(func_def_41,type,
real_shift: real_int > real > real_int ).
thf(func_def_42,type,
abstract: traffic > traffic > $o ).
thf(func_def_43,type,
braking_distance: traffic > cars > real ).
thf(func_def_44,type,
change_dyn: traffic > cars > ( real > real ) > traffic > $o ).
thf(func_def_45,type,
clm: traffic > cars > nat_int ).
thf(func_def_46,type,
create_claim: traffic > cars > nat > traffic > $o ).
thf(func_def_47,type,
create_reservation: traffic > cars > traffic > $o ).
thf(func_def_48,type,
dyn: traffic > cars > real > real ).
thf(func_def_49,type,
evolve: traffic > traffic > $o ).
thf(func_def_50,type,
physical_size: traffic > cars > real ).
thf(func_def_51,type,
pos: traffic > cars > real ).
thf(func_def_52,type,
res: traffic > cars > nat_int ).
thf(func_def_53,type,
withdraw_claim: traffic > cars > traffic > $o ).
thf(func_def_54,type,
withdraw_reservation: traffic > cars > nat > traffic > $o ).
thf(func_def_55,type,
ext:
!>[X0: $tType] : ( view_ext(X0) > real_int ) ).
thf(func_def_56,type,
hchop: view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) > $o ).
thf(func_def_57,type,
lan:
!>[X0: $tType] : ( view_ext(X0) > nat_int ) ).
thf(func_def_58,type,
more:
!>[X0: $tType] : ( view_ext(X0) > X0 ) ).
thf(func_def_59,type,
own:
!>[X0: $tType] : ( view_ext(X0) > cars ) ).
thf(func_def_60,type,
switch: view_ext(product_unit) > cars > view_ext(product_unit) > $o ).
thf(func_def_61,type,
view_ext2:
!>[X0: $tType] : ( real_int > nat_int > cars > X0 > view_ext(X0) ) ).
thf(func_def_62,type,
ts: traffic ).
thf(func_def_63,type,
ts2: traffic ).
thf(func_def_64,type,
ts_a: traffic ).
thf(func_def_65,type,
ts3: traffic ).
thf(func_def_66,type,
v: view_ext(product_unit) ).
thf(func_def_70,type,
vAND: $o > $o > $o ).
thf(func_def_71,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_72,type,
vOR: $o > $o > $o ).
thf(func_def_73,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_74,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_75,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_76,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_77,type,
vIMP: $o > $o > $o ).
thf(func_def_78,type,
vNOT: $o > $o ).
thf(func_def_79,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_80,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_81,type,
sP0:
!>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).
thf(func_def_82,type,
sP1:
!>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).
thf(func_def_83,type,
sP2:
!>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).
thf(func_def_84,type,
sP3:
!>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).
thf(func_def_85,type,
sP4:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > $o ) ).
thf(func_def_86,type,
sP5: traffic > traffic > $o ).
thf(func_def_87,type,
sP6: traffic > traffic > $o ).
thf(func_def_88,type,
sP7: traffic > traffic > $o ).
thf(func_def_89,type,
sP8: traffic > ( traffic > $o ) > $o ).
thf(func_def_90,type,
sP9: traffic > ( traffic > $o ) > $o ).
thf(func_def_91,type,
sP10: traffic > ( traffic > $o ) > $o ).
thf(func_def_92,type,
sP11: traffic > ( traffic > $o ) > $o ).
thf(func_def_93,type,
sP12: view_ext(product_unit) > ( traffic > view_ext(product_unit) > $o ) > cars > ( traffic > view_ext(product_unit) > $o ) > traffic > $o ).
thf(func_def_94,type,
sP13: view_ext(product_unit) > ( traffic > view_ext(product_unit) > $o ) > cars > ( traffic > view_ext(product_unit) > $o ) > traffic > $o ).
thf(func_def_95,type,
sK14:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_96,type,
sK15:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_97,type,
sK16:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_98,type,
sK17:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_99,type,
sK18:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_100,type,
sK19:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_101,type,
sK20:
!>[X0: $tType] : ( X0 > X0 > X0 > X0 ) ).
thf(func_def_102,type,
sK21:
!>[X0: $tType] : ( X0 > X0 > X0 > X0 ) ).
thf(func_def_103,type,
sK22:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_104,type,
sK23:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_105,type,
sK24:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_106,type,
sK25:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_107,type,
sK26:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_108,type,
sK27:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_109,type,
sK28:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_110,type,
sK29:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_111,type,
sK30:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_112,type,
sK31:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).
thf(func_def_113,type,
sK32:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_114,type,
sK33:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).
thf(func_def_115,type,
sK34: view_ext(product_unit) > real_int ).
thf(func_def_116,type,
sK35: view_ext(product_unit) > nat_int ).
thf(func_def_117,type,
sK36: view_ext(product_unit) > cars ).
thf(func_def_118,type,
sK37: real_int > real_int ).
thf(func_def_119,type,
sK38: real_int > real_int ).
thf(func_def_120,type,
sK39: view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_121,type,
sK40: view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_122,type,
sK41: view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_123,type,
sK42: real_int > real_int ).
thf(func_def_124,type,
sK43: real_int > real_int ).
thf(func_def_125,type,
sK44: view_ext(product_unit) > cars ).
thf(func_def_126,type,
sK45: view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_127,type,
sK46: view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_128,type,
sK47: view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_129,type,
sK48:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_130,type,
sK49:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_131,type,
sK50:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_132,type,
sK51:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_133,type,
sK52:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_134,type,
sK53:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_135,type,
sK54:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_136,type,
sK55:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_137,type,
sK56:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_138,type,
sK57:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_139,type,
sK58:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_140,type,
sK59:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_141,type,
sK60:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_142,type,
sK61:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_143,type,
sK62:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_144,type,
sK63:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_145,type,
sK64:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_146,type,
sK65:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_147,type,
sK66:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_148,type,
sK67:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_149,type,
sK68:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_150,type,
sK69:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_151,type,
sK70:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_152,type,
sK71:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_153,type,
sK72: ( view_ext(product_unit) > $o ) > real_int ).
thf(func_def_154,type,
sK73: ( view_ext(product_unit) > $o ) > nat_int ).
thf(func_def_155,type,
sK74: ( view_ext(product_unit) > $o ) > cars ).
thf(func_def_156,type,
sK75:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 ) ).
thf(func_def_157,type,
sK76: traffic > traffic > traffic ).
thf(func_def_158,type,
sK77: traffic > traffic > cars ).
thf(func_def_159,type,
sK78: traffic > traffic > traffic ).
thf(func_def_160,type,
sK79: traffic > traffic > cars ).
thf(func_def_161,type,
sK80: traffic > traffic > nat ).
thf(func_def_162,type,
sK81: traffic > traffic > traffic ).
thf(func_def_163,type,
sK82: traffic > traffic > traffic ).
thf(func_def_164,type,
sK83: traffic > traffic > cars ).
thf(func_def_165,type,
sK84: traffic > traffic > nat ).
thf(func_def_166,type,
sK85: traffic > traffic > traffic ).
thf(func_def_167,type,
sK86: traffic > traffic > cars ).
thf(func_def_168,type,
sK87:
!>[X0: $tType] : ( view_ext(X0) > real_int ) ).
thf(func_def_169,type,
sK88:
!>[X0: $tType] : ( view_ext(X0) > nat_int ) ).
thf(func_def_170,type,
sK89:
!>[X0: $tType] : ( view_ext(X0) > cars ) ).
thf(func_def_171,type,
sK90:
!>[X0: $tType] : ( view_ext(X0) > X0 ) ).
thf(func_def_172,type,
sK91: traffic > cars > traffic ).
thf(func_def_173,type,
sK92: cars > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_174,type,
sK93: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_175,type,
sK94: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_176,type,
sK95: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_177,type,
sK96: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_178,type,
sK97: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_179,type,
sK98: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_180,type,
sK99: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_181,type,
sK100: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_182,type,
sK101: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > traffic ).
thf(func_def_183,type,
sK102: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > traffic ).
thf(func_def_184,type,
sK103:
!>[X0: $tType] : ( ( view_ext(X0) > $o ) > real_int ) ).
thf(func_def_185,type,
sK104:
!>[X0: $tType] : ( ( view_ext(X0) > $o ) > nat_int ) ).
thf(func_def_186,type,
sK105:
!>[X0: $tType] : ( ( view_ext(X0) > $o ) > cars ) ).
thf(func_def_187,type,
sK106:
!>[X0: $tType] : ( ( view_ext(X0) > $o ) > X0 ) ).
thf(func_def_188,type,
sK107: traffic > ( traffic > $o ) > traffic ).
thf(func_def_189,type,
sK108: traffic > ( traffic > $o ) > traffic ).
thf(func_def_190,type,
sK109: traffic > ( traffic > $o ) > cars ).
thf(func_def_191,type,
sK110: traffic > ( traffic > $o ) > traffic ).
thf(func_def_192,type,
sK111: traffic > ( traffic > $o ) > traffic ).
thf(func_def_193,type,
sK112: traffic > ( traffic > $o ) > cars ).
thf(func_def_194,type,
sK113: traffic > ( traffic > $o ) > traffic ).
thf(func_def_195,type,
sK114: traffic > ( traffic > $o ) > traffic ).
thf(func_def_196,type,
sK115: traffic > ( traffic > $o ) > cars ).
thf(func_def_197,type,
sK116: traffic > ( traffic > $o ) > nat ).
thf(func_def_198,type,
sK117: traffic > ( traffic > $o ) > traffic ).
thf(func_def_199,type,
sK118: traffic > ( traffic > $o ) > traffic ).
thf(func_def_200,type,
sK119: ( traffic > $o ) > traffic > traffic ).
thf(func_def_201,type,
sK120: ( traffic > $o ) > traffic > traffic ).
thf(func_def_202,type,
sK121: ( traffic > $o ) > traffic > cars ).
thf(func_def_203,type,
sK122: ( traffic > $o ) > traffic > nat ).
thf(func_def_204,type,
sK123: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_205,type,
sK124: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_206,type,
sK125: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > cars ).
thf(func_def_207,type,
sK126: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_208,type,
sK127: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_209,type,
sK128: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_210,type,
sK129: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_211,type,
sK130: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_212,type,
sK131: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_213,type,
sK132: cars > view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_214,type,
sK133:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 ) ).
thf(func_def_215,type,
sK134: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > cars > view_ext(product_unit) ).
thf(func_def_216,type,
sK135: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > cars > view_ext(product_unit) ).
thf(func_def_217,type,
sK136: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > cars > view_ext(product_unit) ).
thf(func_def_218,type,
sK137: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > cars > view_ext(product_unit) ).
thf(func_def_219,type,
sK138: view_ext(product_unit) > cars > view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_220,type,
sK139: view_ext(product_unit) > cars > view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_221,type,
sK140: cars > view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_222,type,
sK141: cars > view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_223,type,
sK142: view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_224,type,
sK143: view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_225,type,
sK144: view_ext(product_unit) > ( traffic > view_ext(product_unit) > $o ) > cars > ( traffic > view_ext(product_unit) > $o ) > traffic > view_ext(product_unit) ).
thf(func_def_226,type,
sK145: view_ext(product_unit) > ( traffic > view_ext(product_unit) > $o ) > cars > ( traffic > view_ext(product_unit) > $o ) > traffic > view_ext(product_unit) ).
thf(func_def_227,type,
sK146: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > ( traffic > view_ext(product_unit) > $o ) > cars > view_ext(product_unit) ).
thf(func_def_228,type,
sK147: view_ext(product_unit) > cars > ( traffic > view_ext(product_unit) > $o ) > traffic > view_ext(product_unit) ).
thf(func_def_229,type,
sK148: view_ext(product_unit) > ( traffic > view_ext(product_unit) > $o ) > cars > traffic > view_ext(product_unit) ).
thf(func_def_230,type,
sK149: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_231,type,
sK150: view_ext(product_unit) > traffic > ( traffic > view_ext(product_unit) > $o ) > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_232,type,
sK151: cars ).
thf(func_def_234,type,
sK153:
!>[X0: $tType] : ( cars > X0 > view_ext(product_unit) > X0 > view_ext(product_unit) ) ).
thf(func_def_235,type,
sK154: ( 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_236,type,
sK155: ( 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_237,type,
sK156: ( traffic > view_ext(product_unit) > $o ) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_238,type,
sK157: ( traffic > view_ext(product_unit) > $o ) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_239,type,
sK158: ( 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_240,type,
sK159: ( traffic > view_ext(product_unit) > $o ) > traffic > cars > view_ext(product_unit) > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_241,type,
sK160: ( traffic > view_ext(product_unit) > $o ) > traffic > cars > view_ext(product_unit) > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_242,type,
sK161: ( traffic > view_ext(product_unit) > $o ) > traffic > view_ext(product_unit) > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_243,type,
sK162: ( traffic > view_ext(product_unit) > $o ) > traffic > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_244,type,
sK163: ( 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_245,type,
sK164: ( traffic > view_ext(product_unit) > $o ) > traffic > cars > view_ext(product_unit) > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_246,type,
sK165: ( traffic > view_ext(product_unit) > $o ) > traffic > cars > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_247,type,
sK166: ( traffic > view_ext(product_unit) > $o ) > traffic > cars > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_248,type,
sK167: ( traffic > view_ext(product_unit) > $o ) > traffic > cars > view_ext(product_unit) > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_249,type,
sK168: ( traffic > view_ext(product_unit) > $o ) > traffic > cars > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_250,type,
sK169: ( traffic > view_ext(product_unit) > $o ) > traffic > cars > view_ext(product_unit) > view_ext(product_unit) ).
thf(func_def_251,type,
sK170: ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) > cars > traffic > view_ext(product_unit) ).
thf(func_def_252,type,
sK171: ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) > cars > traffic > view_ext(product_unit) ).
thf(func_def_253,type,
sK172: ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) > cars > traffic > view_ext(product_unit) ).
thf(func_def_254,type,
sK173: ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) > cars > traffic > view_ext(product_unit) ).
thf(func_def_255,type,
sK174: cars > traffic > view_ext(product_unit) > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_256,type,
sK175: cars > traffic > view_ext(product_unit) > ( traffic > view_ext(product_unit) > $o ) > view_ext(product_unit) ).
thf(func_def_257,type,
sK176: view_ext(product_unit) > nat > view_ext(product_unit) ).
thf(f103821,plain,
$false,
inference(subsumption_resolution,[],[f103820,f1873]) ).
thf(f1873,plain,
vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,ts3),ts_a) = $true,
inference(cnf_transformation,[],[f895]) ).
thf(f895,plain,
vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,ts3),ts_a) = $true,
inference(fool_elimination,[],[f894]) ).
thf(f894,plain,
vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,ts3),ts_a),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,ts3),ts_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_cr__res_Ohyps_I1_J) ).
thf(f103820,plain,
vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,ts3),ts_a) != $true,
inference(subsumption_resolution,[],[f103819,f10781]) ).
thf(f10781,plain,
$true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,ts_a),ts),
inference(trivial_inequality_removal,[],[f10774]) ).
thf(f10774,plain,
( ( $true != $true )
| ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,ts_a),ts) ) ),
inference(superposition,[],[f10565,f1610]) ).
thf(f1610,plain,
! [X0: traffic] : ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X0) ),
inference(cnf_transformation,[],[f563]) ).
thf(f563,plain,
! [X0: traffic] : ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X0) ),
inference(fool_elimination,[],[f562]) ).
thf(f562,plain,
! [X0: traffic] : vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X0),
inference(rectify,[],[f42]) ).
thf(f42,axiom,
! [X13: traffic] : vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X13),X13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_traffic_Oabstract_Orefl) ).
thf(f10565,plain,
! [X0: traffic] :
( ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),ts_a) )
| ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),ts) ) ),
inference(trivial_inequality_removal,[],[f10557]) ).
thf(f10557,plain,
! [X0: traffic] :
( ( $true != $true )
| ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),ts) )
| ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),ts_a) ) ),
inference(superposition,[],[f1706,f1826]) ).
thf(f1826,plain,
$true = vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,ts_a),sK151),ts),
inference(cnf_transformation,[],[f1449]) ).
thf(f1449,plain,
$true = vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,ts_a),sK151),ts),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK151])],[f801,f1448]) ).
thf(f1448,plain,
( ? [X0: cars] : ( $true = vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,ts_a),X0),ts) )
=> ( $true = vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,ts_a),sK151),ts) ) ),
introduced(choice_axiom,[]) ).
thf(f801,plain,
? [X0: cars] : ( $true = vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,ts_a),X0),ts) ),
inference(fool_elimination,[],[f800]) ).
thf(f800,plain,
? [X0: cars] : vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,ts_a),X0),ts),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
? [X4: cars] : vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,ts_a),X4),ts),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_cr__res_Ohyps_I2_J) ).
thf(f1706,plain,
! [X2: traffic,X3: cars,X0: traffic,X1: traffic] :
( ( $true != vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,X1),X3),X2) )
| ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X2) )
| ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X1) ) ),
inference(cnf_transformation,[],[f1162]) ).
thf(f1162,plain,
! [X0: traffic,X1: traffic,X2: traffic] :
( ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X2) )
| ! [X3: cars] : ( $true != vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,X1),X3),X2) )
| ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X1) ) ),
inference(flattening,[],[f1161]) ).
thf(f1161,plain,
! [X0: traffic,X1: traffic,X2: traffic] :
( ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X2) )
| ! [X3: cars] : ( $true != vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,X1),X3),X2) )
| ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X1) ) ),
inference(ennf_transformation,[],[f685]) ).
thf(f685,plain,
! [X0: traffic,X1: traffic,X2: traffic] :
( ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X1) )
=> ( ? [X3: cars] : ( $true = vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,X1),X3),X2) )
=> ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X2) ) ) ),
inference(fool_elimination,[],[f684]) ).
thf(f684,plain,
! [X0: traffic,X1: traffic,X2: traffic] :
( vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X1)
=> ( ? [X3: cars] : vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,X1),X3),X2)
=> vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X2) ) ),
inference(rectify,[],[f33]) ).
thf(f33,axiom,
! [X13: traffic,X18: traffic,X19: traffic] :
( vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X13),X18)
=> ( ? [X43: cars] : vAPP(traffic,$o,vAPP(cars,sTfun(traffic,$o),vAPP(traffic,sTfun(cars,sTfun(traffic,$o)),create_reservation,X18),X43),X19)
=> vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X13),X19) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_traffic_Ocr__res) ).
thf(f103819,plain,
( ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,ts_a),ts) )
| ( vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,ts3),ts_a) != $true ) ),
inference(subsumption_resolution,[],[f103812,f1450]) ).
thf(f1450,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_a),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),v),
inference(cnf_transformation,[],[f896]) ).
thf(f896,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_a),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),v),
inference(flattening,[],[f315]) ).
thf(f315,negated_conjecture,
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),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(negated_conjecture,[],[f314]) ).
thf(f314,conjecture,
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),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/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f103812,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_a),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),v) )
| ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,ts_a),ts) )
| ( vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,ts3),ts_a) != $true ) ),
inference(superposition,[],[f1757,f1453]) ).
thf(f1453,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_a),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,ts_a),ts),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,[],[f8]) ).
thf(f8,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_a),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,ts_a),ts),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/sandbox2/benchmark/theBenchmark.p',fact_7__092_060open_062move_Ats_Ats_H_Av_A_061_Amove_Ats_H_Ats_H_H_A_Imove_Ats_Ats_H_Av_J_092_060close_062) ).
thf(f1757,plain,
! [X2: traffic,X3: view_ext(product_unit),X0: traffic,X1: traffic] :
( ( 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,X1),X2),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,X0),X1),X3)) = 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,X0),X2),X3) )
| ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X1),X2) )
| ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X1) ) ),
inference(cnf_transformation,[],[f1189]) ).
thf(f1189,plain,
! [X0: traffic,X1: traffic,X2: traffic,X3: view_ext(product_unit)] :
( ( 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,X1),X2),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,X0),X1),X3)) = 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,X0),X2),X3) )
| ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X1),X2) )
| ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X1) ) ),
inference(flattening,[],[f1188]) ).
thf(f1188,plain,
! [X0: traffic,X1: traffic,X2: traffic,X3: view_ext(product_unit)] :
( ( 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,X1),X2),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,X0),X1),X3)) = 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,X0),X2),X3) )
| ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X1),X2) )
| ( $true != vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X1) ) ),
inference(ennf_transformation,[],[f731]) ).
thf(f731,plain,
! [X0: traffic,X1: traffic,X2: traffic,X3: view_ext(product_unit)] :
( ( ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X1),X2) )
& ( $true = vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X1) ) )
=> ( vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,X1),X2),vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,X0),X1),X3)) = vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,X0),X2),X3) ) ),
inference(fool_elimination,[],[f730]) ).
thf(f730,plain,
! [X0: traffic,X1: traffic,X2: traffic,X3: view_ext(product_unit)] :
( ( vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X1),X2)
& vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X0),X1) )
=> ( vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,X1),X2),vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,X0),X1),X3)) = vAPP(view_ext(product_unit),view_ext(product_unit),vAPP(traffic,sTfun(view_ext(product_unit),view_ext(product_unit)),vAPP(traffic,sTfun(traffic,sTfun(view_ext(product_unit),view_ext(product_unit))),move,X0),X2),X3) ) ),
inference(rectify,[],[f13]) ).
thf(f13,axiom,
! [X13: traffic,X18: traffic,X19: traffic,X14: view_ext(product_unit)] :
( ( vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X18),X19)
& vAPP(traffic,$o,vAPP(traffic,sTfun(traffic,$o),abstract,X13),X18) )
=> ( 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,X18),X19),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,X13),X18),X14)) = 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,X13),X19),X14) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_traffic_Omove__trans) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP168^2 : TPTP v8.2.0. Released v7.5.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat May 18 15:16:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (31459)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.39 % (31462)WARNING: value z3 for option sas not known
% 0.13/0.39 % (31464)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)
% 0.13/0.39 % (31463)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.39 % (31461)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.39 % (31465)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)
% 0.13/0.39 % (31460)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.39 % (31462)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)
% 0.13/0.39 % (31466)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)
% 0.20/0.45 % (31466)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.57 % Exception at run slice level
% 0.20/0.57 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.59 % (31467)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.20/0.59 % Exception at run slice level
% 0.20/0.59 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.60 % Exception at run slice level
% 0.20/0.60 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.61 % (31468)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)
% 0.20/0.62 % (31469)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 2.05/0.66 % (31467)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.05/0.68 % (31468)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.27/0.73 % Exception at run slice level
% 2.27/0.73 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 2.45/0.74 % (31470)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)
% 69.97/10.37 % (31469)First to succeed.
% 69.97/10.38 % (31469)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31459"
% 69.97/10.38 % (31469)Refutation found. Thanks to Tanya!
% 69.97/10.38 % SZS status Theorem for theBenchmark
% 69.97/10.38 % SZS output start Proof for theBenchmark
% See solution above
% 69.97/10.39 % (31469)------------------------------
% 69.97/10.39 % (31469)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 69.97/10.39 % (31469)Termination reason: Refutation
% 69.97/10.39
% 69.97/10.39 % (31469)Memory used [KB]: 22798
% 69.97/10.39 % (31469)Time elapsed: 9.753 s
% 69.97/10.39 % (31469)Instructions burned: 19266 (million)
% 69.97/10.39 % (31459)Success in time 10.032 s
%------------------------------------------------------------------------------