%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP165^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:57 AM UTC 2026
% Result : Theorem 0.20s 0.32s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 60 ( 16 unt; 0 typ; 5 def)
% Number of atoms : 217 ( 47 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 232 ( 36 ~; 30 |; 0 &; 154 @)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 483 ( 480 usr; 19 con; 0-4 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
refine787176636t_unit: $tType ).
thf(type_def_6,type,
refine424419629nres_a: $tType ).
thf(type_def_7,type,
set_Product_unit: $tType ).
thf(type_def_8,type,
product_unit: $tType ).
thf(type_def_9,type,
set_a: $tType ).
thf(type_def_10,type,
a: $tType ).
thf(type_def_11,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
uminus_uminus_set_a: set_a > set_a ).
thf(func_def_1,type,
if_o_R1705037948nres_a: $o > ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o > refine424419629nres_a ).
thf(func_def_2,type,
if_Ref1369692790t_unit: $o > refine787176636t_unit > refine787176636t_unit > refine787176636t_unit ).
thf(func_def_3,type,
if_Ref1724547303nres_a: $o > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_4,type,
if_set_a: $o > set_a > set_a > set_a ).
thf(func_def_5,type,
bot_bot_a_o: a > $o ).
thf(func_def_6,type,
bot_bo658782032t_unit: refine787176636t_unit ).
thf(func_def_7,type,
bot_bo529555393nres_a: refine424419629nres_a ).
thf(func_def_8,type,
bot_bo1087887705t_unit: set_Product_unit ).
thf(func_def_9,type,
bot_bot_set_a: set_a ).
thf(func_def_10,type,
ord_le1960259811nres_a: ( $o > $o > refine424419629nres_a ) > ( $o > $o > refine424419629nres_a ) > $o ).
thf(func_def_11,type,
ord_le1633311077t_unit: ( $o > refine787176636t_unit ) > ( $o > refine787176636t_unit ) > $o ).
thf(func_def_12,type,
ord_le516598614nres_a: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_13,type,
ord_less_eq_o_set_a: ( $o > set_a ) > ( $o > set_a ) > $o ).
thf(func_def_14,type,
ord_le1051254044t_unit: refine787176636t_unit > refine787176636t_unit > $o ).
thf(func_def_15,type,
ord_le519537037nres_a: refine424419629nres_a > refine424419629nres_a > $o ).
thf(func_def_16,type,
ord_le1023748749t_unit: set_Product_unit > set_Product_unit > $o ).
thf(func_def_17,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_18,type,
order_245837199nres_a: ( ( $o > refine424419629nres_a ) > $o ) > $o > refine424419629nres_a ).
thf(func_def_19,type,
order_453013155t_unit: ( refine787176636t_unit > $o ) > refine787176636t_unit ).
thf(func_def_20,type,
order_1714329108nres_a: ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_21,type,
order_Greatest_set_a: ( set_a > $o ) > set_a ).
thf(func_def_22,type,
top_to177290092t_unit: refine787176636t_unit ).
thf(func_def_23,type,
top_to231829469nres_a: refine424419629nres_a ).
thf(func_def_24,type,
top_top_set_a: set_a ).
thf(func_def_25,type,
partia1658438072t_unit: refine787176636t_unit > refine787176636t_unit > refine787176636t_unit > $o ).
thf(func_def_26,type,
partia906949161nres_a: refine424419629nres_a > refine424419629nres_a > refine424419629nres_a > $o ).
thf(func_def_27,type,
refine23983189ASSUME: $o > refine787176636t_unit ).
thf(func_def_28,type,
refine1420258419t_unit: product_unit > refine787176636t_unit ).
thf(func_def_29,type,
refine2063221604TURN_a: a > refine424419629nres_a ).
thf(func_def_30,type,
refine681446406t_unit: refine787176636t_unit > ( product_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_31,type,
refine119808503unit_a: refine787176636t_unit > ( product_unit > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_32,type,
refine96995669t_unit: refine424419629nres_a > ( a > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_33,type,
refine436832838nd_a_a: refine424419629nres_a > ( a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_34,type,
refine558004794t_unit: refine787176636t_unit > product_unit > $o ).
thf(func_def_35,type,
refine1001002027nres_a: refine424419629nres_a > a > $o ).
thf(func_def_36,type,
refine983493746t_unit: refine787176636t_unit > product_unit > $o ).
thf(func_def_37,type,
refine1312857699nres_a: refine424419629nres_a > a > $o ).
thf(func_def_38,type,
refine579265252t_unit: refine787176636t_unit > $o ).
thf(func_def_39,type,
refine412683989fail_a: refine424419629nres_a > $o ).
thf(func_def_40,type,
refine464223677AILi_a: refine424419629nres_a ).
thf(func_def_41,type,
refine1777164439t_unit: set_Product_unit > refine787176636t_unit ).
thf(func_def_42,type,
refine1198353288_RES_a: set_a > refine424419629nres_a ).
thf(func_def_43,type,
refine1208325748t_unit: refine787176636t_unit > set_Product_unit ).
thf(func_def_44,type,
refine1822134885_RES_a: refine424419629nres_a > set_a ).
thf(func_def_45,type,
refine459374679t_unit: ( refine787176636t_unit > refine787176636t_unit ) > $o ).
thf(func_def_46,type,
collect_Product_unit: ( product_unit > $o ) > set_Product_unit ).
thf(func_def_47,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_48,type,
insert_a: a > set_a > set_a ).
thf(func_def_49,type,
is_singleton_a: set_a > $o ).
thf(func_def_50,type,
member_Product_unit: product_unit > set_Product_unit > $o ).
thf(func_def_51,type,
member_a: a > set_a > $o ).
thf(func_def_52,type,
s1: refine424419629nres_a ).
thf(func_def_53,type,
s2: refine424419629nres_a ).
thf(func_def_54,type,
phi: a > $o ).
thf(func_def_55,type,
b: $o ).
thf(func_def_57,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_60,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_61,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_62,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_63,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_64,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_65,type,
vAND: $o > $o > $o ).
thf(func_def_66,type,
vIMP: $o > $o > $o ).
thf(func_def_67,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_68,type,
vNOT: $o > $o ).
thf(func_def_69,type,
vOR: $o > $o > $o ).
thf(func_def_70,type,
sP0: refine424419629nres_a > refine424419629nres_a > $o > $o ).
thf(func_def_71,type,
sK1: ( product_unit > $o ) > set_Product_unit > product_unit ).
thf(func_def_72,type,
sK2: ( a > $o ) > set_a > a ).
thf(func_def_73,type,
sK3: ( product_unit > $o ) > ( product_unit > $o ) > product_unit ).
thf(func_def_74,type,
sK4: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_75,type,
sK5: ( product_unit > $o ) > ( product_unit > $o ) > product_unit ).
thf(func_def_76,type,
sK6: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_77,type,
sK7: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_78,type,
sK8: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_79,type,
sK9: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_80,type,
sK10: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_81,type,
sK11: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_82,type,
sK12: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_83,type,
sK13: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_84,type,
sK14: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_85,type,
sK15: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_86,type,
sK16: ( set_a > set_a ) > set_a ).
thf(func_def_87,type,
sK17: ( set_a > set_a ) > set_a ).
thf(func_def_88,type,
sK18: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_89,type,
sK19: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_90,type,
sK20: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_91,type,
sK21: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_92,type,
sK22: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_93,type,
sK23: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_94,type,
sK24: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_95,type,
sK25: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_96,type,
sK26: ( refine424419629nres_a > $o > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_97,type,
sK27: ( refine424419629nres_a > $o > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_98,type,
sK28: ( product_unit > $o ) > ( product_unit > $o ) > product_unit ).
thf(func_def_99,type,
sK29: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_100,type,
sK30: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_101,type,
sK31: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_102,type,
sK32: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_103,type,
sK33: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_104,type,
sK34: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_105,type,
sK35: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_106,type,
sK36: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_107,type,
sK37: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_108,type,
sK38: ( set_a > set_a ) > set_a ).
thf(func_def_109,type,
sK39: ( set_a > set_a ) > set_a ).
thf(func_def_110,type,
sK40: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_111,type,
sK41: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_112,type,
sK42: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_113,type,
sK43: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_114,type,
sK44: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_115,type,
sK45: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_116,type,
sK46: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_117,type,
sK47: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_118,type,
sK48: ( refine424419629nres_a > $o > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_119,type,
sK49: ( refine424419629nres_a > $o > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_120,type,
sK50: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_121,type,
sK51: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_122,type,
sK52: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_123,type,
sK53: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_124,type,
sK54: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_125,type,
sK55: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_126,type,
sK56: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_127,type,
sK57: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_128,type,
sK58: ( set_a > set_a ) > set_a ).
thf(func_def_129,type,
sK59: ( set_a > set_a ) > set_a ).
thf(func_def_130,type,
sK60: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_131,type,
sK61: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_132,type,
sK62: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_133,type,
sK63: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_134,type,
sK64: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_135,type,
sK65: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_136,type,
sK66: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_137,type,
sK67: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_138,type,
sK68: ( refine424419629nres_a > $o > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_139,type,
sK69: ( refine424419629nres_a > $o > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_140,type,
sK70: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_141,type,
sK71: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_142,type,
sK72: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_143,type,
sK73: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_144,type,
sK74: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_145,type,
sK75: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_146,type,
sK76: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_147,type,
sK77: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_148,type,
sK78: ( set_a > set_a ) > set_a ).
thf(func_def_149,type,
sK79: ( set_a > set_a ) > set_a ).
thf(func_def_150,type,
sK80: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_151,type,
sK81: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_152,type,
sK82: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_153,type,
sK83: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_154,type,
sK84: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_155,type,
sK85: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_156,type,
sK86: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_157,type,
sK87: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_158,type,
sK88: ( ( $o > refine424419629nres_a ) > refine424419629nres_a ) > $o > refine424419629nres_a ).
thf(func_def_159,type,
sK89: ( ( $o > refine424419629nres_a ) > refine424419629nres_a ) > $o > refine424419629nres_a ).
thf(func_def_160,type,
sK90: set_a > ( set_a > $o ) > set_a ).
thf(func_def_161,type,
sK91: ( $o > refine424419629nres_a ) > ( ( $o > refine424419629nres_a ) > $o ) > $o > refine424419629nres_a ).
thf(func_def_162,type,
sK92: refine787176636t_unit > ( refine787176636t_unit > $o ) > refine787176636t_unit ).
thf(func_def_163,type,
sK93: refine424419629nres_a > ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_164,type,
sK94: ( set_a > $o ) > ( set_a > $o ) > set_a ).
thf(func_def_165,type,
sK95: set_a > ( set_a > $o ) > set_a ).
thf(func_def_166,type,
sK96: ( ( $o > refine424419629nres_a ) > $o ) > ( ( $o > refine424419629nres_a ) > $o ) > $o > refine424419629nres_a ).
thf(func_def_167,type,
sK97: ( $o > refine424419629nres_a ) > ( ( $o > refine424419629nres_a ) > $o ) > $o > refine424419629nres_a ).
thf(func_def_168,type,
sK98: ( refine787176636t_unit > $o ) > ( refine787176636t_unit > $o ) > refine787176636t_unit ).
thf(func_def_169,type,
sK99: refine787176636t_unit > ( refine787176636t_unit > $o ) > refine787176636t_unit ).
thf(func_def_170,type,
sK100: ( refine424419629nres_a > $o ) > ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_171,type,
sK101: refine424419629nres_a > ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_172,type,
sK102: ( a > refine424419629nres_a ) > ( a > refine424419629nres_a ) > refine424419629nres_a > a ).
thf(func_def_173,type,
sK103: ( product_unit > refine787176636t_unit ) > ( product_unit > refine787176636t_unit ) > refine787176636t_unit > product_unit ).
thf(func_def_174,type,
sK104: ( product_unit > refine424419629nres_a ) > ( product_unit > refine424419629nres_a ) > refine787176636t_unit > product_unit ).
thf(func_def_175,type,
sK105: ( a > refine787176636t_unit ) > ( a > refine787176636t_unit ) > refine424419629nres_a > a ).
thf(func_def_176,type,
sK106: ( product_unit > refine787176636t_unit ) > ( product_unit > refine787176636t_unit ) > refine787176636t_unit > product_unit ).
thf(func_def_177,type,
sK107: ( product_unit > refine424419629nres_a ) > ( product_unit > refine424419629nres_a ) > refine787176636t_unit > product_unit ).
thf(func_def_178,type,
sK108: ( a > refine424419629nres_a ) > ( a > refine424419629nres_a ) > refine424419629nres_a > a ).
thf(func_def_179,type,
sK109: set_Product_unit > set_Product_unit > product_unit ).
thf(func_def_180,type,
sK110: set_a > set_a > a ).
thf(func_def_181,type,
sK111: ( a > refine787176636t_unit ) > refine424419629nres_a > refine787176636t_unit > a ).
thf(func_def_182,type,
sK112: ( a > refine424419629nres_a ) > refine424419629nres_a > refine424419629nres_a > a ).
thf(func_def_183,type,
sK113: ( product_unit > refine424419629nres_a ) > refine787176636t_unit > refine424419629nres_a > product_unit ).
thf(func_def_184,type,
sK114: ( product_unit > refine787176636t_unit ) > refine787176636t_unit > refine787176636t_unit > product_unit ).
thf(func_def_185,type,
sK115: refine424419629nres_a > refine424419629nres_a > a ).
thf(func_def_186,type,
sK116: refine787176636t_unit > refine787176636t_unit > product_unit ).
thf(func_def_187,type,
sK117: refine424419629nres_a > refine424419629nres_a > a ).
thf(func_def_188,type,
sK118: refine787176636t_unit > refine787176636t_unit > product_unit ).
thf(func_def_189,type,
sK119: refine424419629nres_a > refine424419629nres_a > a ).
thf(func_def_190,type,
sK120: refine787176636t_unit > refine787176636t_unit > product_unit ).
thf(func_def_191,type,
sK121: ( product_unit > $o ) > ( product_unit > $o ) > product_unit ).
thf(func_def_192,type,
sK122: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_193,type,
sK123: refine424419629nres_a > refine424419629nres_a > $o > set_a ).
thf(func_def_194,type,
sK124: refine424419629nres_a > refine424419629nres_a > $o > set_a ).
thf(func_def_195,type,
sK125: refine424419629nres_a > set_a ).
thf(func_def_196,type,
sK126: refine424419629nres_a > refine424419629nres_a > set_a ).
thf(func_def_197,type,
sK127: refine424419629nres_a > refine424419629nres_a > set_a ).
thf(func_def_198,type,
sK128: refine424419629nres_a > set_a ).
thf(func_def_199,type,
sK129: refine424419629nres_a > refine424419629nres_a > set_a ).
thf(func_def_200,type,
sK130: refine424419629nres_a > refine424419629nres_a > set_a ).
thf(func_def_201,type,
sK131: set_a > a ).
thf(func_def_202,type,
sK132: set_a > a > set_a ).
thf(func_def_203,type,
sK133: set_a > a > set_a ).
thf(func_def_204,type,
sK134: set_a > a ).
thf(func_def_205,type,
sK135: ( refine424419629nres_a > $o ) > set_a ).
thf(func_def_206,type,
sK136: refine424419629nres_a > set_a ).
thf(func_def_207,type,
sK137: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_208,type,
sK138: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_209,type,
sK139: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_210,type,
sK140: ( refine424419629nres_a > refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_211,type,
sK141: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_212,type,
sK142: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_213,type,
sK143: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_214,type,
sK144: ( refine424419629nres_a > refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_215,type,
sK145: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_216,type,
sK146: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_217,type,
sK147: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_218,type,
sK148: ( refine424419629nres_a > refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_219,type,
sK149: set_a > a ).
thf(func_def_220,type,
sK150: set_a > a ).
thf(func_def_221,type,
sK151: set_a > a ).
thf(func_def_222,type,
sK152: refine424419629nres_a > set_a ).
thf(func_def_223,type,
sK153: set_a > a ).
thf(func_def_224,type,
sK154: refine787176636t_unit > set_Product_unit ).
thf(func_def_225,type,
sK155: refine787176636t_unit > set_Product_unit ).
thf(func_def_226,type,
sK156: refine787176636t_unit > set_Product_unit ).
thf(func_def_227,type,
sK157: refine787176636t_unit > set_Product_unit ).
thf(func_def_228,type,
sK158: refine787176636t_unit > refine787176636t_unit > product_unit ).
thf(func_def_229,type,
sK159: $o > set_Product_unit ).
thf(func_def_230,type,
sK160: refine787176636t_unit > set_Product_unit ).
thf(func_def_231,type,
sK161: refine787176636t_unit > set_Product_unit ).
thf(func_def_232,type,
sK162: refine787176636t_unit > product_unit ).
thf(func_def_233,type,
sK163: refine787176636t_unit > refine787176636t_unit > product_unit ).
thf(func_def_234,type,
sK164: refine787176636t_unit > set_Product_unit ).
thf(func_def_235,type,
sK165: refine787176636t_unit > set_Product_unit ).
thf(func_def_236,type,
sK166: refine787176636t_unit > set_Product_unit ).
thf(func_def_237,type,
sK167: refine787176636t_unit > set_Product_unit ).
thf(func_def_238,type,
sK168: a > set_a > a ).
thf(func_def_239,type,
sK169: set_Product_unit ).
thf(func_def_240,type,
sK170: set_a > set_a > a ).
thf(func_def_241,type,
sK171: set_a > set_a > a ).
thf(func_def_242,type,
sK172: set_a > a > set_a > a ).
thf(func_def_243,type,
sK173: set_a > a > set_a > a > set_a ).
thf(func_def_244,type,
sK174: set_a > a ).
thf(func_def_245,type,
sK175: set_a > a > set_a > a ).
thf(func_def_246,type,
sK176: set_a > a > set_a > a ).
thf(func_def_247,type,
sK177: set_a > set_a > a ).
thf(func_def_248,type,
sK178: ( a > $o ) > a ).
thf(func_def_249,type,
sK179: ( a > $o ) > a ).
thf(func_def_250,type,
sK180: set_a > a ).
thf(func_def_251,type,
sK181: a > set_a > a ).
thf(func_def_252,type,
sK182: refine424419629nres_a > refine424419629nres_a > a ).
thf(func_def_253,type,
sK183: refine424419629nres_a > refine424419629nres_a > a ).
thf(func_def_254,type,
sK184: refine424419629nres_a > refine424419629nres_a > $o > a ).
thf(func_def_255,type,
sK185: set_a > set_a > a ).
thf(func_def_256,type,
sK186: set_a > set_a > a ).
thf(func_def_257,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_258,type,
sK187: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_259,type,
sK188: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_260,type,
sK189: ( product_unit > $o ) > ( product_unit > $o ) > product_unit ).
thf(func_def_261,type,
sK190: ( product_unit > $o ) > ( product_unit > $o ) > product_unit ).
thf(func_def_262,type,
sK191: refine787176636t_unit > set_Product_unit ).
thf(func_def_263,type,
sK192: ( product_unit > refine787176636t_unit ) > product_unit > set_Product_unit ).
thf(func_def_264,type,
sK193: ( product_unit > refine787176636t_unit ) > refine787176636t_unit > product_unit ).
thf(func_def_265,type,
sK194: ( product_unit > refine787176636t_unit ) > refine787176636t_unit > set_Product_unit ).
thf(func_def_266,type,
sK195: refine424419629nres_a > set_a ).
thf(func_def_267,type,
sK196: ( a > refine424419629nres_a ) > a > set_a ).
thf(func_def_268,type,
sK197: ( a > refine424419629nres_a ) > refine424419629nres_a > a ).
thf(func_def_269,type,
sK198: ( a > refine424419629nres_a ) > refine424419629nres_a > set_a ).
thf(func_def_270,type,
sK199: refine787176636t_unit > set_Product_unit ).
thf(func_def_271,type,
sK200: ( product_unit > refine424419629nres_a ) > product_unit > set_a ).
thf(func_def_272,type,
sK201: ( product_unit > refine424419629nres_a ) > refine787176636t_unit > product_unit ).
thf(func_def_273,type,
sK202: ( product_unit > refine424419629nres_a ) > refine787176636t_unit > set_a ).
thf(func_def_274,type,
sK203: refine424419629nres_a > set_a ).
thf(func_def_275,type,
sK204: ( a > refine787176636t_unit ) > a > set_Product_unit ).
thf(func_def_276,type,
sK205: ( a > refine787176636t_unit ) > refine424419629nres_a > a ).
thf(func_def_277,type,
sK206: ( a > refine787176636t_unit ) > refine424419629nres_a > set_Product_unit ).
thf(func_def_278,type,
sK207: refine787176636t_unit > set_Product_unit ).
thf(func_def_279,type,
sK208: refine424419629nres_a > set_a ).
thf(func_def_280,type,
sK209: refine787176636t_unit > set_Product_unit ).
thf(func_def_281,type,
sK210: refine787176636t_unit > set_Product_unit ).
thf(func_def_282,type,
sK211: refine787176636t_unit > set_Product_unit ).
thf(func_def_283,type,
sK212: refine787176636t_unit > set_Product_unit ).
thf(func_def_284,type,
sK213: refine424419629nres_a > set_a ).
thf(func_def_285,type,
sK214: refine424419629nres_a > set_a ).
thf(func_def_286,type,
sK215: refine424419629nres_a > set_a ).
thf(func_def_287,type,
sK216: refine424419629nres_a > set_a ).
thf(func_def_288,type,
sK217: refine787176636t_unit > set_Product_unit ).
thf(func_def_289,type,
sK218: refine424419629nres_a > set_a ).
thf(func_def_290,type,
sK219: refine787176636t_unit > set_Product_unit ).
thf(func_def_291,type,
sK220: refine787176636t_unit > set_Product_unit ).
thf(func_def_292,type,
sK221: refine787176636t_unit > set_Product_unit ).
thf(func_def_293,type,
sK222: refine787176636t_unit > set_Product_unit ).
thf(func_def_294,type,
sK223: refine424419629nres_a > set_a ).
thf(func_def_295,type,
sK224: refine424419629nres_a > set_a ).
thf(func_def_296,type,
sK225: refine424419629nres_a > set_a ).
thf(func_def_297,type,
sK226: refine424419629nres_a > set_a ).
thf(func_def_298,type,
sK227: set_a > set_a > a ).
thf(func_def_299,type,
sK228: set_Product_unit > set_Product_unit > product_unit ).
thf(func_def_300,type,
sK229: set_a > set_a > a ).
thf(func_def_301,type,
sK230: set_Product_unit > set_Product_unit > product_unit ).
thf(func_def_302,type,
sK231: refine787176636t_unit > set_Product_unit ).
thf(func_def_303,type,
sK232: ( product_unit > refine787176636t_unit ) > refine787176636t_unit > refine787176636t_unit > product_unit ).
thf(func_def_304,type,
sK233: refine787176636t_unit > set_Product_unit ).
thf(func_def_305,type,
sK234: refine787176636t_unit > set_Product_unit ).
thf(func_def_306,type,
sK235: refine787176636t_unit > set_Product_unit ).
thf(func_def_307,type,
sK236: refine787176636t_unit > set_Product_unit ).
thf(func_def_308,type,
sK237: refine787176636t_unit > set_Product_unit ).
thf(func_def_309,type,
sK238: refine787176636t_unit > set_Product_unit ).
thf(func_def_310,type,
sK239: ( product_unit > refine424419629nres_a ) > refine787176636t_unit > refine424419629nres_a > product_unit ).
thf(func_def_311,type,
sK240: refine787176636t_unit > set_Product_unit ).
thf(func_def_312,type,
sK241: refine424419629nres_a > set_a ).
thf(func_def_313,type,
sK242: refine424419629nres_a > set_a ).
thf(func_def_314,type,
sK243: refine424419629nres_a > set_a ).
thf(func_def_315,type,
sK244: refine787176636t_unit > set_Product_unit ).
thf(func_def_316,type,
sK245: refine424419629nres_a > set_a ).
thf(func_def_317,type,
sK246: ( a > refine424419629nres_a ) > refine424419629nres_a > refine424419629nres_a > a ).
thf(func_def_318,type,
sK247: refine424419629nres_a > set_a ).
thf(func_def_319,type,
sK248: refine424419629nres_a > set_a ).
thf(func_def_320,type,
sK249: refine424419629nres_a > set_a ).
thf(func_def_321,type,
sK250: refine424419629nres_a > set_a ).
thf(func_def_322,type,
sK251: refine424419629nres_a > set_a ).
thf(func_def_323,type,
sK252: refine424419629nres_a > set_a ).
thf(func_def_324,type,
sK253: ( a > refine787176636t_unit ) > refine424419629nres_a > refine787176636t_unit > a ).
thf(func_def_325,type,
sK254: refine424419629nres_a > set_a ).
thf(func_def_326,type,
sK255: refine787176636t_unit > set_Product_unit ).
thf(func_def_327,type,
sK256: refine787176636t_unit > set_Product_unit ).
thf(func_def_328,type,
sK257: refine787176636t_unit > set_Product_unit ).
thf(func_def_329,type,
sK258: refine424419629nres_a > set_a ).
thf(func_def_330,type,
sK259: refine787176636t_unit > set_Product_unit ).
thf(func_def_331,type,
sK260: refine787176636t_unit > set_Product_unit ).
thf(func_def_332,type,
sK261: refine787176636t_unit > set_Product_unit ).
thf(func_def_333,type,
sK262: refine787176636t_unit > set_Product_unit ).
thf(func_def_334,type,
sK263: refine787176636t_unit > set_Product_unit ).
thf(func_def_335,type,
sK264: refine424419629nres_a > set_a ).
thf(func_def_336,type,
sK265: refine424419629nres_a > set_a ).
thf(func_def_337,type,
sK266: refine424419629nres_a > set_a ).
thf(func_def_338,type,
sK267: refine424419629nres_a > set_a ).
thf(func_def_339,type,
sK268: refine424419629nres_a > set_a ).
thf(func_def_340,type,
sK269: refine424419629nres_a > set_a ).
thf(func_def_341,type,
sK270: refine424419629nres_a > set_a ).
thf(func_def_342,type,
sK271: refine424419629nres_a > set_a ).
thf(func_def_343,type,
sK272: refine787176636t_unit > set_Product_unit ).
thf(func_def_344,type,
sK273: refine787176636t_unit > set_Product_unit ).
thf(func_def_345,type,
sK274: refine787176636t_unit > set_Product_unit ).
thf(func_def_346,type,
sK275: set_a > set_a > a ).
thf(func_def_347,type,
sK276: set_a > set_a > a ).
thf(func_def_348,type,
sK277: refine787176636t_unit > set_Product_unit ).
thf(func_def_349,type,
sK278: refine424419629nres_a > set_a ).
thf(func_def_350,type,
sK279: refine787176636t_unit > set_Product_unit ).
thf(func_def_351,type,
sK280: refine424419629nres_a > set_a ).
thf(func_def_352,type,
sK281: $o > ( $o > refine424419629nres_a ) > set_a ).
thf(func_def_353,type,
sK282: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_354,type,
sK283: ( a > $o ) > set_a > a ).
thf(func_def_355,type,
sK284: ( a > $o ) > set_a > a ).
thf(func_def_356,type,
sK285: ( product_unit > $o ) > set_Product_unit > product_unit ).
thf(func_def_357,type,
sK286: ( product_unit > $o ) > set_Product_unit > product_unit ).
thf(func_def_358,type,
sK287: product_unit > set_Product_unit ).
thf(func_def_359,type,
sK288: a > set_a ).
thf(func_def_360,type,
sK289: set_a > set_a ).
thf(func_def_361,type,
sK290: set_Product_unit > set_Product_unit ).
thf(func_def_362,type,
sK291: ( $o > refine424419629nres_a ) > ( ( $o > refine424419629nres_a ) > $o ) > $o ).
thf(func_def_363,type,
sK292: ( $o > refine424419629nres_a ) > ( ( $o > refine424419629nres_a ) > $o ) > $o ).
thf(func_def_364,type,
sK293: ( $o > refine424419629nres_a ) > ( ( $o > refine424419629nres_a ) > $o ) > $o ).
thf(func_def_365,type,
sK294: set_a > ( set_a > $o ) > a ).
thf(func_def_366,type,
sK295: set_a > ( set_a > $o ) > a ).
thf(func_def_367,type,
sK296: set_a > ( set_a > $o ) > a ).
thf(func_def_368,type,
sK297: ( $o > refine424419629nres_a ) > ( ( $o > refine424419629nres_a ) > $o ) > $o ).
thf(func_def_369,type,
sK298: set_a > ( set_a > $o ) > a ).
thf(func_def_370,type,
sK299: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_371,type,
sK300: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_372,type,
sK301: set_a > set_a > a ).
thf(func_def_373,type,
sK302: set_a > set_a > a ).
thf(func_def_374,type,
sK303: ( refine787176636t_unit > set_a ) > set_a > refine787176636t_unit > a ).
thf(func_def_375,type,
sK304: ( refine787176636t_unit > set_a ) > a ).
thf(func_def_376,type,
sK305: ( refine787176636t_unit > set_a ) > set_a > refine787176636t_unit > a ).
thf(func_def_377,type,
sK306: set_a > set_a > a ).
thf(func_def_378,type,
sK307: ( set_a > set_a ) > set_a > set_a > a ).
thf(func_def_379,type,
sK308: ( set_a > set_a ) > a ).
thf(func_def_380,type,
sK309: set_a > set_a > a ).
thf(func_def_381,type,
sK310: ( set_a > set_a ) > set_a > set_a > a ).
thf(func_def_382,type,
sK311: ( refine424419629nres_a > set_a ) > set_a > refine424419629nres_a > a ).
thf(func_def_383,type,
sK312: ( refine424419629nres_a > set_a ) > a ).
thf(func_def_384,type,
sK313: ( refine424419629nres_a > set_a ) > set_a > refine424419629nres_a > a ).
thf(func_def_385,type,
sK314: set_a > set_a > a ).
thf(func_def_386,type,
sK315: set_a > set_a > a ).
thf(func_def_387,type,
sK316: refine424419629nres_a > ( refine424419629nres_a > $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_388,type,
sK317: ( refine424419629nres_a > $o > refine424419629nres_a ) > $o ).
thf(func_def_389,type,
sK318: refine424419629nres_a > ( refine424419629nres_a > $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_390,type,
sK319: refine787176636t_unit > ( refine787176636t_unit > set_a ) > set_a > a ).
thf(func_def_391,type,
sK320: ( refine787176636t_unit > set_a ) > a ).
thf(func_def_392,type,
sK321: refine787176636t_unit > ( refine787176636t_unit > set_a ) > set_a > a ).
thf(func_def_393,type,
sK322: set_a > set_a > a ).
thf(func_def_394,type,
sK323: set_a > set_a > a ).
thf(func_def_395,type,
sK324: set_a > ( set_a > set_a ) > set_a > a ).
thf(func_def_396,type,
sK325: set_a > set_a > a ).
thf(func_def_397,type,
sK326: ( set_a > set_a ) > a ).
thf(func_def_398,type,
sK327: set_a > ( set_a > set_a ) > set_a > a ).
thf(func_def_399,type,
sK328: set_a > set_a > a ).
thf(func_def_400,type,
sK329: set_a > set_a > a ).
thf(func_def_401,type,
sK330: set_a > set_a > a ).
thf(func_def_402,type,
sK331: refine424419629nres_a > ( refine424419629nres_a > set_a ) > set_a > a ).
thf(func_def_403,type,
sK332: ( refine424419629nres_a > set_a ) > a ).
thf(func_def_404,type,
sK333: refine424419629nres_a > ( refine424419629nres_a > set_a ) > set_a > a ).
thf(func_def_405,type,
sK334: ( refine424419629nres_a > $o > refine424419629nres_a ) > $o ).
thf(func_def_406,type,
sK335: ( refine787176636t_unit > set_a ) > a ).
thf(func_def_407,type,
sK336: set_a > set_a > a ).
thf(func_def_408,type,
sK337: set_a > set_a > a ).
thf(func_def_409,type,
sK338: set_a > set_a > a ).
thf(func_def_410,type,
sK339: ( set_a > set_a ) > a ).
thf(func_def_411,type,
sK340: set_a > set_a > a ).
thf(func_def_412,type,
sK341: set_a > set_a > a ).
thf(func_def_413,type,
sK342: set_a > set_a > a ).
thf(func_def_414,type,
sK343: ( refine424419629nres_a > set_a ) > a ).
thf(func_def_415,type,
sK344: ( refine424419629nres_a > $o > refine424419629nres_a ) > $o ).
thf(func_def_416,type,
sK345: ( refine787176636t_unit > set_a ) > a ).
thf(func_def_417,type,
sK346: set_a > set_a > a ).
thf(func_def_418,type,
sK347: set_a > set_a > a ).
thf(func_def_419,type,
sK348: set_a > set_a > a ).
thf(func_def_420,type,
sK349: ( set_a > set_a ) > a ).
thf(func_def_421,type,
sK350: set_a > set_a > a ).
thf(func_def_422,type,
sK351: set_a > set_a > a ).
thf(func_def_423,type,
sK352: set_a > set_a > a ).
thf(func_def_424,type,
sK353: ( refine424419629nres_a > set_a ) > a ).
thf(func_def_425,type,
sK354: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_426,type,
sK355: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_427,type,
sK356: set_a > set_a > a ).
thf(func_def_428,type,
sK357: set_a > set_a > a ).
thf(func_def_429,type,
sK358: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_430,type,
sK359: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_431,type,
sK360: set_a > set_a > a ).
thf(func_def_432,type,
sK361: set_a > set_a > a ).
thf(func_def_433,type,
sK362: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_434,type,
sK363: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_435,type,
sK364: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_436,type,
sK365: set_a > set_a > a ).
thf(func_def_437,type,
sK366: set_a > set_a > a ).
thf(func_def_438,type,
sK367: set_a > set_a > a ).
thf(func_def_439,type,
sK368: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_440,type,
sK369: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_441,type,
sK370: set_a > set_a > a ).
thf(func_def_442,type,
sK371: set_a > set_a > a ).
thf(func_def_443,type,
sK372: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_444,type,
sK373: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_445,type,
sK374: set_a > set_a > a ).
thf(func_def_446,type,
sK375: set_a > set_a > a ).
thf(func_def_447,type,
sK376: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_448,type,
sK377: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_449,type,
sK378: set_a > set_a > a ).
thf(func_def_450,type,
sK379: set_a > set_a > a ).
thf(func_def_451,type,
sK380: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_452,type,
sK381: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_453,type,
sK382: set_a > set_a > a ).
thf(func_def_454,type,
sK383: set_a > set_a > a ).
thf(func_def_455,type,
sK384: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_456,type,
sK385: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_457,type,
sK386: set_a > set_a > a ).
thf(func_def_458,type,
sK387: set_a > set_a > a ).
thf(func_def_459,type,
sK388: set_a > set_a > a ).
thf(func_def_460,type,
sK389: set_Product_unit > set_Product_unit > product_unit ).
thf(func_def_461,type,
sK390: set_a > set_a > a ).
thf(func_def_462,type,
sK391: set_Product_unit > set_Product_unit > product_unit ).
thf(func_def_463,type,
sK392: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_464,type,
sK393: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_465,type,
sK394: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_466,type,
sK395: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_467,type,
sK396: set_a > set_a > a ).
thf(func_def_468,type,
sK397: set_a > set_a > a ).
thf(func_def_469,type,
sK398: set_a > set_a > a ).
thf(func_def_470,type,
sK399: set_a > set_a > a ).
thf(func_def_471,type,
sK400: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_472,type,
sK401: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_473,type,
sK402: ( a > $o ) > set_a ).
thf(func_def_474,type,
sK403: ( product_unit > $o ) > set_Product_unit ).
thf(func_def_475,type,
sK404: set_a > set_a ).
thf(func_def_476,type,
sK405: set_Product_unit > set_Product_unit ).
thf(f353,axiom,
! [X0: refine424419629nres_a,X1: refine424419629nres_a] :
( ( if_Ref1724547303nres_a @ $false @ X0 @ X1 )
= X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_2_1_If_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_T) ).
thf(f354,axiom,
! [X0: refine424419629nres_a,X1: refine424419629nres_a] :
( ( if_Ref1724547303nres_a @ $true @ X0 @ X1 )
= X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_1_1_If_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_T) ).
thf(f357,axiom,
! [X0: $o] :
( ( X0 = $false )
| ( X0 = $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_It__Product____Type__Ounit_J_T) ).
thf(f360,axiom,
( b
=> ( ord_le519537037nres_a @ s1 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f361,axiom,
( ~ b
=> ( ord_le519537037nres_a @ s2 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(f362,conjecture,
ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ b @ s1 @ s2 ) @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
thf(f363,negated_conjecture,
~ ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ b @ s1 @ s2 ) @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) ),
inference(negated_conjecture,[status(cth)],[f362]) ).
thf(f957,plain,
! [X0: refine424419629nres_a,X1: refine424419629nres_a] :
( ( if_Ref1724547303nres_a @ $false @ X0 @ X1 )
= X1 ),
inference(rectify,[],[f353]) ).
thf(f958,plain,
! [X0: refine424419629nres_a,X1: refine424419629nres_a] :
( ( if_Ref1724547303nres_a @ $false @ X0 @ X1 )
= X1 ),
inference(fool_elimination,[],[f957]) ).
thf(f959,plain,
! [X0: refine424419629nres_a,X1: refine424419629nres_a] :
( ( if_Ref1724547303nres_a @ $true @ X0 @ X1 )
= X0 ),
inference(rectify,[],[f354]) ).
thf(f960,plain,
! [X0: refine424419629nres_a,X1: refine424419629nres_a] :
( ( if_Ref1724547303nres_a @ $true @ X0 @ X1 )
= X0 ),
inference(fool_elimination,[],[f959]) ).
thf(f965,plain,
! [X0: $o] :
( ( $false = X0 )
| ( $true = X0 ) ),
inference(fool_elimination,[],[f357]) ).
thf(f970,plain,
( b
=> ( ord_le519537037nres_a @ s1 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) ) ),
inference(rectify,[],[f360]) ).
thf(f971,plain,
( ( b = $true )
=> ( ( ord_le519537037nres_a @ s1 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
= $true ) ),
inference(fool_elimination,[],[f970]) ).
thf(f972,plain,
( ~ b
=> ( ord_le519537037nres_a @ s2 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) ) ),
inference(rectify,[],[f361]) ).
thf(f973,plain,
( ( b != $true )
=> ( ( ord_le519537037nres_a @ s2 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
= $true ) ),
inference(fool_elimination,[],[f972]) ).
thf(f974,plain,
~ ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ b @ s1 @ s2 ) @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) ),
inference(rectify,[],[f363]) ).
thf(f975,plain,
( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ b @ s1 @ s2 ) @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
!= $true ),
inference(fool_elimination,[],[f974]) ).
thf(f1000,plain,
( ( b != $true )
=> ( ( ord_le519537037nres_a @ s2 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
= $true ) ),
inference(flattening,[],[f973]) ).
thf(f1001,plain,
( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ b @ s1 @ s2 ) @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
!= $true ),
inference(flattening,[],[f975]) ).
thf(f1332,plain,
( ( ( ord_le519537037nres_a @ s1 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
= $true )
| ( b != $true ) ),
inference(ennf_transformation,[],[f971]) ).
thf(f1333,plain,
( ( ( ord_le519537037nres_a @ s2 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
= $true )
| ( b = $true ) ),
inference(ennf_transformation,[],[f1000]) ).
thf(f1942,plain,
! [X0: refine424419629nres_a,X1: refine424419629nres_a] :
( ( if_Ref1724547303nres_a @ $false @ X0 @ X1 )
= X1 ),
inference(cnf_transformation,[],[f958]) ).
thf(f1943,plain,
! [X0: refine424419629nres_a,X1: refine424419629nres_a] :
( ( if_Ref1724547303nres_a @ $true @ X0 @ X1 )
= X0 ),
inference(cnf_transformation,[],[f960]) ).
thf(f1946,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
inference(cnf_transformation,[],[f965]) ).
thf(f1949,plain,
( ( ( ord_le519537037nres_a @ s1 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
= $true )
| ( b != $true ) ),
inference(cnf_transformation,[],[f1332]) ).
thf(f1950,plain,
( ( ( ord_le519537037nres_a @ s2 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
= $true )
| ( b = $true ) ),
inference(cnf_transformation,[],[f1333]) ).
thf(f1951,plain,
( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ b @ s1 @ s2 ) @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
!= $true ),
inference(cnf_transformation,[],[f1001]) ).
thf(f4355,definition,
( spl406_1
<=> ( b = $true ) ),
introduced(definition,[new_symbols(definition,[spl406_1])],[avatar_definition]) ).
thf(f4356,plain,
( ( b != $true )
| spl406_1 ),
inference(avatar_component_clause,[],[f4355]) ).
thf(f4357,plain,
( ( b = $true )
| ~ spl406_1 ),
inference(avatar_component_clause,[],[f4355]) ).
thf(f4359,definition,
( spl406_2
<=> ( ( ord_le519537037nres_a @ s2 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl406_2])],[avatar_definition]) ).
thf(f4362,plain,
( spl406_1
| spl406_2 ),
inference(avatar_split_clause,[],[f1950,f4359,f4355]) ).
thf(f4364,definition,
( spl406_3
<=> ( ( ord_le519537037nres_a @ s1 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl406_3])],[avatar_definition]) ).
thf(f4367,plain,
( ~ spl406_1
| spl406_3 ),
inference(avatar_split_clause,[],[f1949,f4364,f4355]) ).
thf(f4371,plain,
( ( $true != $true )
| ( b = $false )
| spl406_1 ),
inference(constrained_superposition,[],[f4356,f1946]) ).
thf(f4375,plain,
( ( b = $false )
| spl406_1 ),
inference(trivial_inequality_removal,[],[f4371]) ).
thf(f4381,definition,
( spl406_4
<=> ( b = $false ) ),
introduced(definition,[new_symbols(definition,[spl406_4])],[avatar_definition]) ).
thf(f4383,plain,
( ( b = $false )
| ~ spl406_4 ),
inference(avatar_component_clause,[],[f4381]) ).
thf(f4385,definition,
( spl406_5
<=> ( $true
= ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ s1 @ s2 ) @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl406_5])],[avatar_definition]) ).
thf(f4387,plain,
( ( $true
!= ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ s1 @ s2 ) @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) ) )
| spl406_5 ),
inference(avatar_component_clause,[],[f4385]) ).
thf(f4389,plain,
( spl406_4
| spl406_1 ),
inference(avatar_split_clause,[],[f4375,f4355,f4381]) ).
thf(f4390,plain,
( ( $true
!= ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ s1 @ s2 ) @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) ) )
| ~ spl406_1 ),
inference(constrained_superposition,[],[f1951,f4357]) ).
thf(f4391,plain,
( ~ spl406_5
| ~ spl406_1 ),
inference(avatar_split_clause,[],[f4390,f4355,f4385]) ).
thf(f4481,plain,
( ( ( ord_le519537037nres_a @ s1 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
!= $true )
| spl406_5 ),
inference(constrained_superposition,[],[f4387,f1943]) ).
thf(f4484,plain,
( ~ spl406_3
| spl406_5 ),
inference(avatar_split_clause,[],[f4481,f4385,f4364]) ).
thf(f4493,plain,
( ( $true
!= ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ s1 @ s2 ) @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) ) )
| ~ spl406_4 ),
inference(constrained_superposition,[],[f1951,f4383]) ).
thf(f4495,plain,
( ( ( ord_le519537037nres_a @ s2 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
!= $true )
| ~ spl406_4 ),
inference(forward_demodulation,[],[f4493,f1942]) ).
thf(f4496,plain,
( ~ spl406_2
| ~ spl406_4 ),
inference(avatar_split_clause,[],[f4495,f4381,f4359]) ).
cnf(s1,plain,
( spl406_1
| spl406_2 ),
inference(sat_conversion,[],[f4362]) ).
cnf(s2,plain,
( ~ spl406_1
| spl406_3 ),
inference(sat_conversion,[],[f4367]) ).
cnf(s4,plain,
( spl406_1
| spl406_4 ),
inference(sat_conversion,[],[f4389]) ).
cnf(s5,plain,
( ~ spl406_1
| ~ spl406_5 ),
inference(sat_conversion,[],[f4391]) ).
cnf(s6,plain,
( ~ spl406_3
| spl406_5 ),
inference(sat_conversion,[],[f4484]) ).
cnf(s11,plain,
( ~ spl406_2
| ~ spl406_4 ),
inference(sat_conversion,[],[f4496]) ).
cnf(s12,plain,
spl406_1,
inference(rat,[],[s11,s1,s4]) ).
cnf(s13,plain,
~ spl406_5,
inference(rat,[],[s5,s12]) ).
cnf(s14,plain,
spl406_3,
inference(rat,[],[s2,s12]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s6,s13,s14]) ).
thf(f4497,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP165^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.18 % Computer : n013.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Sep 29 20:03:51 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21 Running first-order model finding
% 0.10/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.32 % (2593372)Will run a generic schedule for satisfiability detection.
% 0.20/0.32 % (2593379)% WARNING: option uhcvi not known.
% 0.20/0.32 % (2593379)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2025584996:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.32 % (2593380)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1992110570:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.32 % (2593378)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2634375723_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.32 % (2593381)dis+10_1_sil=32000:sp=arity:random_seed=1403417070:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.32 % (2593379)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.32 % (2593383)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2892793856:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.32 % (2593379)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.20/0.32 % (2593382)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1467497011:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.32 % (2593384)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1264571366:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.32 % (2593382)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.32 % (2593379) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2593372-2593379"...
% 0.20/0.32 % (2593381)Instruction limit reached!
% 0.20/0.32 % (2593381)------------------------------
% 0.20/0.32 % (2593381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (2593381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (2593381)CaDiCaL version: 2.1.3
% 0.20/0.32 % (2593381)Termination reason: Instruction limit
% 0.20/0.32 % (2593381)Termination phase: Property scanning
% 0.20/0.32 % (2593381)Time elapsed: 0.043 s
% 0.20/0.32 % (2593381)Peak memory usage: 12 MB
% 0.20/0.32 % (2593381)Instructions burned: 104 (million)
% 0.20/0.32 % (2593379)...printing done.
% 0.20/0.32 % (2593379)Refutation found. Thanks to Tanya!
% 0.20/0.32 % SZS status Theorem for theBenchmark
% 0.20/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.32 % (2593379)------------------------------
% 0.20/0.32 % (2593379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (2593379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (2593379)CaDiCaL version: 2.1.3
% 0.20/0.32 % (2593379)Termination reason: Refutation
% 0.20/0.32 % (2593379)Time elapsed: 0.051 s
% 0.20/0.32 % (2593379)Peak memory usage: 15 MB
% 0.20/0.32 % (2593379)Instructions burned: 209 (million)
% 0.20/0.32 % (2593372)Success in time 0.095 s
% 0.20/0.32 % Vampire exiting
%------------------------------------------------------------------------------