%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP159^1 : 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 : n010.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 08:10:55 AM UTC 2026
% Result : Theorem 0.79s 0.42s
% Output : Refutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 8 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 44 ( 6 ~; 0 |; 0 &; 38 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 21 ( 20 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 410 ( 407 usr; 12 con; 0-4 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr451126599t_unit: $tType ).
thf(type_def_6,type,
refine787176636t_unit: $tType ).
thf(type_def_7,type,
set_Pr1707992533t_unit: $tType ).
thf(type_def_8,type,
set_Pr1628433942t_unit: $tType ).
thf(type_def_9,type,
set_Pr712638521unit_b: $tType ).
thf(type_def_10,type,
set_Pr1720557880unit_a: $tType ).
thf(type_def_11,type,
refine432681134nres_b: $tType ).
thf(type_def_12,type,
refine424419629nres_a: $tType ).
thf(type_def_13,type,
set_Product_prod_b_b: $tType ).
thf(type_def_14,type,
set_Product_prod_b_a: $tType ).
thf(type_def_15,type,
set_Product_prod_a_b: $tType ).
thf(type_def_16,type,
set_Product_prod_a_a: $tType ).
thf(type_def_17,type,
product_prod_b_b: $tType ).
thf(type_def_18,type,
product_prod_a_b: $tType ).
thf(type_def_19,type,
product_prod_a_a: $tType ).
thf(type_def_20,type,
product_unit: $tType ).
thf(type_def_21,type,
set_b: $tType ).
thf(type_def_22,type,
set_a: $tType ).
thf(type_def_23,type,
b: $tType ).
thf(type_def_24,type,
a: $tType ).
thf(type_def_25,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
if_o_R1705037948nres_a: $o > ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o > refine424419629nres_a ).
thf(func_def_1,type,
if_o_R697118589nres_b: $o > ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o > refine432681134nres_b ).
thf(func_def_2,type,
if_Ref1724547303nres_a: $o > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_3,type,
if_Ref1732808808nres_b: $o > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b ).
thf(func_def_4,type,
if_set1550076877od_a_a: $o > set_Product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a ).
thf(func_def_5,type,
if_set_a: $o > set_a > set_a > set_a ).
thf(func_def_6,type,
if_set_b: $o > set_b > set_b > set_b ).
thf(func_def_7,type,
sup_su2034729561nres_a: refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_8,type,
sup_su2042991066nres_b: refine432681134nres_b > refine432681134nres_b > refine432681134nres_b ).
thf(func_def_9,type,
ord_le516598614nres_a: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_10,type,
ord_le1656162903nres_b: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_11,type,
ord_le1051254044t_unit: refine787176636t_unit > refine787176636t_unit > $o ).
thf(func_def_12,type,
ord_le519537037nres_a: refine424419629nres_a > refine424419629nres_a > $o ).
thf(func_def_13,type,
ord_le527798542nres_b: refine432681134nres_b > refine432681134nres_b > $o ).
thf(func_def_14,type,
ord_le1824328871od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o ).
thf(func_def_15,type,
ord_le816409512od_a_b: set_Product_prod_a_b > set_Product_prod_a_b > $o ).
thf(func_def_16,type,
ord_le2044239718od_b_a: set_Product_prod_b_a > set_Product_prod_b_a > $o ).
thf(func_def_17,type,
ord_le1036320359od_b_b: set_Product_prod_b_b > set_Product_prod_b_b > $o ).
thf(func_def_18,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_19,type,
ord_less_eq_set_b: set_b > set_b > $o ).
thf(func_def_20,type,
order_1714329108nres_a: ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_21,type,
order_1722590613nres_b: ( refine432681134nres_b > $o ) > refine432681134nres_b ).
thf(func_def_22,type,
top_to2046902534nres_a: $o > refine424419629nres_a ).
thf(func_def_23,type,
top_to1038983175nres_b: $o > refine432681134nres_b ).
thf(func_def_24,type,
top_to177290092t_unit: refine787176636t_unit ).
thf(func_def_25,type,
top_to231829469nres_a: refine424419629nres_a ).
thf(func_def_26,type,
top_to240090974nres_b: refine432681134nres_b ).
thf(func_def_27,type,
top_to398455383od_a_a: set_Product_prod_a_a ).
thf(func_def_28,type,
top_top_set_a: set_a ).
thf(func_def_29,type,
top_top_set_b: set_b ).
thf(func_def_30,type,
product_Pair_a_a: a > a > product_prod_a_a ).
thf(func_def_31,type,
product_Pair_a_b: a > b > product_prod_a_b ).
thf(func_def_32,type,
product_Pair_b_b: b > b > product_prod_b_b ).
thf(func_def_33,type,
refine2063221604TURN_a: a > refine424419629nres_a ).
thf(func_def_34,type,
refine2063221605TURN_b: b > refine432681134nres_b ).
thf(func_def_35,type,
refine1136779702un_a_a: set_Product_prod_a_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_36,type,
refine1136779703un_a_b: set_Product_prod_a_b > refine424419629nres_a > refine432681134nres_b ).
thf(func_def_37,type,
refine1964549109un_b_a: set_Product_prod_b_a > refine432681134nres_b > refine424419629nres_a ).
thf(func_def_38,type,
refine1964549110un_b_b: set_Product_prod_b_b > refine432681134nres_b > refine432681134nres_b ).
thf(func_def_39,type,
refine119808503unit_a: refine787176636t_unit > ( product_unit > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_40,type,
refine119808504unit_b: refine787176636t_unit > ( product_unit > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_41,type,
refine436832838nd_a_a: refine424419629nres_a > ( a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_42,type,
refine436832839nd_a_b: refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_43,type,
refine1264602245nd_b_a: refine432681134nres_b > ( b > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_44,type,
refine1264602246nd_b_b: refine432681134nres_b > ( b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_45,type,
refine944483349t_unit: set_Pr451126599t_unit > refine787176636t_unit > refine787176636t_unit ).
thf(func_def_46,type,
refine2043866374unit_a: set_Pr1720557880unit_a > refine424419629nres_a > refine787176636t_unit ).
thf(func_def_47,type,
refine2043866375unit_b: set_Pr712638521unit_b > refine432681134nres_b > refine787176636t_unit ).
thf(func_def_48,type,
refine2021053540t_unit: set_Pr1628433942t_unit > refine787176636t_unit > refine424419629nres_a ).
thf(func_def_49,type,
refine1441824853un_a_a: set_Product_prod_a_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_50,type,
refine1441824854un_a_b: set_Product_prod_a_b > refine432681134nres_b > refine424419629nres_a ).
thf(func_def_51,type,
refine2140306339t_unit: set_Pr1707992533t_unit > refine787176636t_unit > refine432681134nres_b ).
thf(func_def_52,type,
refine122110612un_b_a: set_Product_prod_b_a > refine424419629nres_a > refine432681134nres_b ).
thf(func_def_53,type,
refine122110613un_b_b: set_Product_prod_b_b > refine432681134nres_b > refine432681134nres_b ).
thf(func_def_54,type,
refine1001002027nres_a: refine424419629nres_a > a > $o ).
thf(func_def_55,type,
refine1001002028nres_b: refine432681134nres_b > b > $o ).
thf(func_def_56,type,
refine412683989fail_a: refine424419629nres_a > $o ).
thf(func_def_57,type,
refine412683990fail_b: refine432681134nres_b > $o ).
thf(func_def_58,type,
refine1198353288_RES_a: set_a > refine424419629nres_a ).
thf(func_def_59,type,
refine1198353289_RES_b: set_b > refine432681134nres_b ).
thf(func_def_60,type,
id_a: set_Product_prod_a_a ).
thf(func_def_61,type,
id_b: set_Product_prod_b_b ).
thf(func_def_62,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_63,type,
collect_b: ( b > $o ) > set_b ).
thf(func_def_64,type,
member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).
thf(func_def_65,type,
member458171089od_a_b: product_prod_a_b > set_Product_prod_a_b > $o ).
thf(func_def_66,type,
member1285940496od_b_b: product_prod_b_b > set_Product_prod_b_b > $o ).
thf(func_def_67,type,
member_a: a > set_a > $o ).
thf(func_def_68,type,
member_b: b > set_b > $o ).
thf(func_def_69,type,
r: set_Product_prod_a_b ).
thf(func_def_70,type,
x: refine424419629nres_a ).
thf(func_def_72,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_75,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_76,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_77,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_78,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_79,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_80,type,
vAND: $o > $o > $o ).
thf(func_def_81,type,
vNOT: $o > $o ).
thf(func_def_82,type,
vIMP: $o > $o > $o ).
thf(func_def_83,type,
sK0: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_84,type,
sK1: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_85,type,
sK2: ( ( $o > refine424419629nres_a ) > set_b ) > $o > refine424419629nres_a ).
thf(func_def_86,type,
sK3: ( ( $o > refine424419629nres_a ) > set_b ) > $o > refine424419629nres_a ).
thf(func_def_87,type,
sK4: ( ( $o > refine424419629nres_a ) > set_a ) > $o > refine424419629nres_a ).
thf(func_def_88,type,
sK5: ( ( $o > refine424419629nres_a ) > set_a ) > $o > refine424419629nres_a ).
thf(func_def_89,type,
sK6: ( ( $o > refine424419629nres_a ) > $o > refine432681134nres_b ) > $o > refine424419629nres_a ).
thf(func_def_90,type,
sK7: ( ( $o > refine424419629nres_a ) > $o > refine432681134nres_b ) > $o > refine424419629nres_a ).
thf(func_def_91,type,
sK8: ( ( $o > refine424419629nres_a ) > $o > refine424419629nres_a ) > $o > refine424419629nres_a ).
thf(func_def_92,type,
sK9: ( ( $o > refine424419629nres_a ) > $o > refine424419629nres_a ) > $o > refine424419629nres_a ).
thf(func_def_93,type,
sK10: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_94,type,
sK11: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_95,type,
sK12: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(func_def_96,type,
sK13: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(func_def_97,type,
sK14: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_98,type,
sK15: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_99,type,
sK16: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_100,type,
sK17: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_101,type,
sK18: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_102,type,
sK19: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_103,type,
sK20: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(func_def_104,type,
sK21: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(func_def_105,type,
sK22: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_106,type,
sK23: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_107,type,
sK24: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_108,type,
sK25: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_109,type,
sK26: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_110,type,
sK27: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_111,type,
sK28: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(func_def_112,type,
sK29: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(func_def_113,type,
sK30: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_114,type,
sK31: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_115,type,
sK32: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_116,type,
sK33: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_117,type,
sK34: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_118,type,
sK35: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_119,type,
sK36: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_120,type,
sK37: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_121,type,
sK38: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(func_def_122,type,
sK39: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(func_def_123,type,
sK40: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_124,type,
sK41: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_125,type,
sK42: refine424419629nres_a > ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_126,type,
sK43: refine432681134nres_b > ( refine432681134nres_b > $o ) > refine432681134nres_b ).
thf(func_def_127,type,
sK44: ( refine424419629nres_a > $o ) > ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_128,type,
sK45: refine424419629nres_a > ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_129,type,
sK46: ( refine432681134nres_b > $o ) > ( refine432681134nres_b > $o ) > refine432681134nres_b ).
thf(func_def_130,type,
sK47: refine432681134nres_b > ( refine432681134nres_b > $o ) > refine432681134nres_b ).
thf(func_def_131,type,
sK48: ( a > $o ) > set_a > a ).
thf(func_def_132,type,
sK49: ( b > $o ) > set_b > b ).
thf(func_def_133,type,
sK50: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_134,type,
sK51: ( b > $o ) > ( b > $o ) > b ).
thf(func_def_135,type,
sK52: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_136,type,
sK53: ( b > $o ) > ( b > $o ) > b ).
thf(func_def_137,type,
sK54: refine432681134nres_b > set_b ).
thf(func_def_138,type,
sK55: refine424419629nres_a > set_a ).
thf(func_def_139,type,
sK56: set_Product_prod_a_b > set_b > set_a > a ).
thf(func_def_140,type,
sK57: set_Product_prod_b_b > set_b > set_b > b ).
thf(func_def_141,type,
sK58: set_Product_prod_a_a > set_a > set_a > a ).
thf(func_def_142,type,
sK59: refine424419629nres_a > refine424419629nres_a > a ).
thf(func_def_143,type,
sK60: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_144,type,
sK61: refine424419629nres_a > refine424419629nres_a > a ).
thf(func_def_145,type,
sK62: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_146,type,
sK63: ( a > refine424419629nres_a ) > ( a > refine424419629nres_a ) > refine424419629nres_a > a ).
thf(func_def_147,type,
sK64: ( a > refine432681134nres_b ) > ( a > refine432681134nres_b ) > refine424419629nres_a > a ).
thf(func_def_148,type,
sK65: ( b > refine424419629nres_a ) > ( b > refine424419629nres_a ) > refine432681134nres_b > b ).
thf(func_def_149,type,
sK66: ( b > refine432681134nres_b ) > ( b > refine432681134nres_b ) > refine432681134nres_b > b ).
thf(func_def_150,type,
sK67: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_151,type,
sK68: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_152,type,
sK69: ( b > refine432681134nres_b ) > refine432681134nres_b > ( b > refine432681134nres_b ) > b ).
thf(func_def_153,type,
sK70: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_154,type,
sK71: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_155,type,
sK72: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_156,type,
sK73: ( a > refine432681134nres_b ) > refine424419629nres_a > ( a > refine432681134nres_b ) > b ).
thf(func_def_157,type,
sK74: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_158,type,
sK75: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_159,type,
sK76: b > refine432681134nres_b > b ).
thf(func_def_160,type,
sK77: b > b > b ).
thf(func_def_161,type,
sK78: set_b > b > b ).
thf(func_def_162,type,
sK79: set_b > set_b > b ).
thf(func_def_163,type,
sK80: set_b > set_b > b ).
thf(func_def_164,type,
sK81: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_165,type,
sK82: refine432681134nres_b > refine432681134nres_b > set_Product_prod_b_b > b ).
thf(func_def_166,type,
sK83: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_167,type,
sK84: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_168,type,
sK85: refine432681134nres_b > refine424419629nres_a > set_Product_prod_a_b > b ).
thf(func_def_169,type,
sK86: ( b > $o ) > refine432681134nres_b > b ).
thf(func_def_170,type,
sK87: ( b > $o ) > refine432681134nres_b > b ).
thf(func_def_171,type,
sK88: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_172,type,
sK89: refine432681134nres_b > ( b > $o ) > b ).
thf(func_def_173,type,
sK90: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_174,type,
sK91: refine432681134nres_b > ( b > $o ) > b ).
thf(func_def_175,type,
sK92: refine432681134nres_b > ( b > $o ) > b ).
thf(func_def_176,type,
sK93: refine432681134nres_b > ( b > $o ) > b ).
thf(func_def_177,type,
sK94: refine432681134nres_b > ( b > $o ) > b ).
thf(func_def_178,type,
sK95: refine432681134nres_b > ( b > $o ) > b ).
thf(func_def_179,type,
sK96: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_180,type,
sK97: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_181,type,
sK98: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_182,type,
sK99: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_183,type,
sK100: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_184,type,
sK101: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_185,type,
sK102: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_186,type,
sK103: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_187,type,
sK104: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_188,type,
sK105: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_189,type,
sK106: refine432681134nres_b > refine432681134nres_b > set_Product_prod_b_b > b ).
thf(func_def_190,type,
sK107: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_191,type,
sK108: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_192,type,
sK109: refine432681134nres_b > refine424419629nres_a > set_Product_prod_a_b > b ).
thf(func_def_193,type,
sK110: ( b > $o ) > refine432681134nres_b > b ).
thf(func_def_194,type,
sK111: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_195,type,
sK112: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_196,type,
sK113: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_197,type,
sK114: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_198,type,
sK115: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_199,type,
sK116: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_200,type,
sK117: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_201,type,
sK118: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_202,type,
sK119: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_203,type,
sK120: set_Product_prod_b_b > refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_204,type,
sK121: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_205,type,
sK122: set_Product_prod_b_b > refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_206,type,
sK123: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_207,type,
sK124: set_Product_prod_b_a > refine432681134nres_b > refine424419629nres_a > b ).
thf(func_def_208,type,
sK125: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_209,type,
sK126: refine432681134nres_b > refine432681134nres_b > set_Product_prod_b_b > b ).
thf(func_def_210,type,
sK127: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_211,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_212,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_213,type,
sK128: refine432681134nres_b > ( refine432681134nres_b > $o ) > b ).
thf(func_def_214,type,
sK129: refine432681134nres_b > ( refine432681134nres_b > $o ) > b ).
thf(func_def_215,type,
sK130: refine432681134nres_b > ( refine432681134nres_b > $o ) > b ).
thf(func_def_216,type,
sK131: refine432681134nres_b > ( refine432681134nres_b > $o ) > b ).
thf(func_def_217,type,
sK132: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_218,type,
sK133: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_219,type,
sK134: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_220,type,
sK135: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_221,type,
sK136: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_222,type,
sK137: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_223,type,
sK138: ( refine432681134nres_b > refine432681134nres_b ) > b ).
thf(func_def_224,type,
sK139: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_225,type,
sK140: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_226,type,
sK141: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_227,type,
sK142: ( refine424419629nres_a > refine432681134nres_b ) > refine432681134nres_b > refine424419629nres_a > b ).
thf(func_def_228,type,
sK143: ( refine424419629nres_a > refine432681134nres_b ) > refine432681134nres_b > refine424419629nres_a > b ).
thf(func_def_229,type,
sK144: ( refine424419629nres_a > refine432681134nres_b ) > b ).
thf(func_def_230,type,
sK145: ( refine424419629nres_a > refine432681134nres_b ) > refine432681134nres_b > refine424419629nres_a > b ).
thf(func_def_231,type,
sK146: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_232,type,
sK147: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_233,type,
sK148: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_234,type,
sK149: refine432681134nres_b > refine432681134nres_b > ( refine432681134nres_b > refine432681134nres_b ) > b ).
thf(func_def_235,type,
sK150: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_236,type,
sK151: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_237,type,
sK152: refine432681134nres_b > refine432681134nres_b > ( refine432681134nres_b > refine432681134nres_b ) > b ).
thf(func_def_238,type,
sK153: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_239,type,
sK154: ( refine432681134nres_b > refine432681134nres_b ) > b ).
thf(func_def_240,type,
sK155: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_241,type,
sK156: refine432681134nres_b > refine432681134nres_b > ( refine432681134nres_b > refine432681134nres_b ) > b ).
thf(func_def_242,type,
sK157: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_243,type,
sK158: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_244,type,
sK159: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_245,type,
sK160: refine432681134nres_b > refine424419629nres_a > ( refine424419629nres_a > refine432681134nres_b ) > b ).
thf(func_def_246,type,
sK161: refine432681134nres_b > refine424419629nres_a > ( refine424419629nres_a > refine432681134nres_b ) > b ).
thf(func_def_247,type,
sK162: ( refine424419629nres_a > refine432681134nres_b ) > b ).
thf(func_def_248,type,
sK163: refine432681134nres_b > refine424419629nres_a > ( refine424419629nres_a > refine432681134nres_b ) > b ).
thf(func_def_249,type,
sK164: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_250,type,
sK165: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_251,type,
sK166: ( refine432681134nres_b > refine432681134nres_b ) > b ).
thf(func_def_252,type,
sK167: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_253,type,
sK168: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_254,type,
sK169: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_255,type,
sK170: ( refine424419629nres_a > refine432681134nres_b ) > b ).
thf(func_def_256,type,
sK171: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_257,type,
sK172: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_258,type,
sK173: ( refine432681134nres_b > refine432681134nres_b ) > b ).
thf(func_def_259,type,
sK174: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_260,type,
sK175: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_261,type,
sK176: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_262,type,
sK177: ( refine424419629nres_a > refine432681134nres_b ) > b ).
thf(func_def_263,type,
sK178: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_264,type,
sK179: ( ( $o > refine424419629nres_a ) > $o > refine424419629nres_a ) > $o ).
thf(func_def_265,type,
sK180: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_266,type,
sK181: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_267,type,
sK182: ( ( $o > refine424419629nres_a ) > $o > refine432681134nres_b ) > $o ).
thf(func_def_268,type,
sK183: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_269,type,
sK184: ( ( $o > refine424419629nres_a ) > $o > refine432681134nres_b ) > b ).
thf(func_def_270,type,
sK185: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_271,type,
sK186: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_272,type,
sK187: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_273,type,
sK188: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_274,type,
sK189: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_275,type,
sK190: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_276,type,
sK191: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_277,type,
sK192: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_278,type,
sK193: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_279,type,
sK194: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_280,type,
sK195: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_281,type,
sK196: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_282,type,
sK197: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_283,type,
sK198: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_284,type,
sK199: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_285,type,
sK200: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_286,type,
sK201: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_287,type,
sK202: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_288,type,
sK203: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_289,type,
sK204: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_290,type,
sK205: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_291,type,
sK206: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_292,type,
sK207: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_293,type,
sK208: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_294,type,
sK209: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_295,type,
sK210: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_296,type,
sK211: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_297,type,
sK212: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_298,type,
sK213: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_299,type,
sK214: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_300,type,
sK215: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_301,type,
sK216: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_302,type,
sK217: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_303,type,
sK218: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_304,type,
sK219: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_305,type,
sK220: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_306,type,
sK221: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_307,type,
sK222: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_308,type,
sK223: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_309,type,
sK224: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_310,type,
sK225: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_311,type,
sK226: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_312,type,
sK227: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_313,type,
sK228: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_314,type,
sK229: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_315,type,
sK230: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_316,type,
sK231: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_317,type,
sK232: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_318,type,
sK233: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_319,type,
sK234: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_320,type,
sK235: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_321,type,
sK236: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_322,type,
sK237: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_323,type,
sK238: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_324,type,
sK239: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_325,type,
sK240: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_326,type,
sK241: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_327,type,
sK242: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_328,type,
sK243: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_329,type,
sK244: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_330,type,
sK245: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_331,type,
sK246: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_332,type,
sK247: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_333,type,
sK248: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_334,type,
sK249: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_335,type,
sK250: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_336,type,
sK251: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_337,type,
sK252: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_338,type,
sK253: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_339,type,
sK254: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_340,type,
sK255: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_341,type,
sK256: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_342,type,
sK257: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_343,type,
sK258: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_344,type,
sK259: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_345,type,
sK260: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_346,type,
sK261: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_347,type,
sK262: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_348,type,
sK263: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_349,type,
sK264: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_350,type,
sK265: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_351,type,
sK266: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_352,type,
sK267: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_353,type,
sK268: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_354,type,
sK269: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_355,type,
sK270: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_356,type,
sK271: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_357,type,
sK272: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_358,type,
sK273: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_359,type,
sK274: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_360,type,
sK275: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_361,type,
sK276: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_362,type,
sK277: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_363,type,
sK278: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_364,type,
sK279: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_365,type,
sK280: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_366,type,
sK281: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_367,type,
sK282: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_368,type,
sK283: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_369,type,
sK284: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_370,type,
sK285: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_371,type,
sK286: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_372,type,
sK287: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_373,type,
sK288: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_374,type,
sK289: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_375,type,
sK290: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_376,type,
sK291: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_377,type,
sK292: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_378,type,
sK293: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_379,type,
sK294: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_380,type,
sK295: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_381,type,
sK296: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_382,type,
sK297: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_383,type,
sK298: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_384,type,
sK299: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > b ).
thf(func_def_385,type,
sK300: refine432681134nres_b > b ).
thf(func_def_386,type,
sK301: ( $o > refine424419629nres_a ) > $o ).
thf(func_def_387,type,
sK302: ( $o > refine432681134nres_b ) > $o ).
thf(func_def_388,type,
sK303: ( $o > refine432681134nres_b ) > b ).
thf(func_def_389,type,
sK304: refine432681134nres_b > b ).
thf(func_def_390,type,
sK305: ( $o > refine424419629nres_a ) > $o ).
thf(func_def_391,type,
sK306: ( $o > refine432681134nres_b ) > $o ).
thf(func_def_392,type,
sK307: ( $o > refine432681134nres_b ) > b ).
thf(func_def_393,type,
sK308: set_Product_prod_b_b > refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_394,type,
sK309: set_Product_prod_b_b > refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_395,type,
sK310: set_Product_prod_b_b > refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_396,type,
sK311: set_Product_prod_b_b > refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_397,type,
sK312: set_Product_prod_b_a > refine432681134nres_b > refine424419629nres_a > b ).
thf(func_def_398,type,
sK313: set_Product_prod_b_a > refine432681134nres_b > refine424419629nres_a > b ).
thf(func_def_399,type,
sK314: set_Product_prod_b_b > refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_400,type,
sK315: set_Product_prod_b_a > refine424419629nres_a > refine432681134nres_b > b ).
thf(func_def_401,type,
sK316: set_Product_prod_b_b > refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_402,type,
sK317: set_Product_prod_b_a > refine424419629nres_a > refine432681134nres_b > b ).
thf(func_def_403,type,
sK318: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_404,type,
sK319: set_Product_prod_b_b > refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_405,type,
sK320: refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_406,type,
sK321: set_Product_prod_b_b > refine432681134nres_b > refine432681134nres_b > b ).
thf(func_def_407,type,
sK322: set_Product_prod_b_a > refine432681134nres_b > refine424419629nres_a > b ).
thf(func_def_408,type,
sK323: refine432681134nres_b > b ).
thf(f30,axiom,
! [X0: set_Product_prod_a_b] :
( ( refine1441824854un_a_b @ X0 @ top_to240090974nres_b )
= top_to231829469nres_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_conc__fun__FAIL) ).
thf(f33,axiom,
! [X0: refine424419629nres_a] : ( ord_le519537037nres_a @ X0 @ top_to231829469nres_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_nres__order__simps_I3_J) ).
thf(f363,conjecture,
ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f364,negated_conjecture,
~ ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) ),
inference(negated_conjecture,[status(cth)],[f363]) ).
thf(f390,plain,
! [X0: refine424419629nres_a] : ( ord_le519537037nres_a @ X0 @ top_to231829469nres_a ),
inference(rectify,[],[f33]) ).
thf(f391,plain,
! [X0: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X0 @ top_to231829469nres_a )
= $true ),
inference(fool_elimination,[],[f390]) ).
thf(f977,plain,
~ ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) ),
inference(rectify,[],[f364]) ).
thf(f978,plain,
( ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) )
!= $true ),
inference(fool_elimination,[],[f977]) ).
thf(f990,plain,
( ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) )
!= $true ),
inference(flattening,[],[f978]) ).
thf(f1434,plain,
! [X0: set_Product_prod_a_b] :
( top_to231829469nres_a
= ( refine1441824854un_a_b @ X0 @ top_to240090974nres_b ) ),
inference(cnf_transformation,[],[f30]) ).
thf(f1437,plain,
! [X0: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X0 @ top_to231829469nres_a )
= $true ),
inference(cnf_transformation,[],[f391]) ).
thf(f1855,plain,
( ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) )
!= $true ),
inference(cnf_transformation,[],[f990]) ).
thf(f8651,plain,
( $true
!= ( ord_le519537037nres_a @ x @ top_to231829469nres_a ) ),
inference(constrained_superposition,[],[f1855,f1434]) ).
thf(f8654,plain,
$false,
inference(backward_subsumption_resolution,[],[f8651,f1437]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP159^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n010.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 20:04:03 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.24 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
% 0.79/0.42 % (3334457)Will run a generic schedule for satisfiability detection.
% 0.79/0.42 % (3334463)% WARNING: option uhcvi not known.
% 0.79/0.42 % (3334465)dis+10_1_sil=32000:sp=arity:random_seed=244799523:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.79/0.42 % (3334466)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=241413658:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.79/0.42 % (3334462)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=101172292_2999 on theBenchmark for (2999ds/0Mi)
% 0.79/0.42 % (3334467)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=368346334:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.79/0.42 % (3334464)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2614406533:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.79/0.42 % (3334463)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3279911724:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.79/0.42 % (3334468)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4121452419:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.79/0.42 % (3334463)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.79/0.42 % (3334466)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.79/0.42 % (3334465)Instruction limit reached!
% 0.79/0.42 % (3334465)------------------------------
% 0.79/0.42 % (3334465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.42 % (3334465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.42 % (3334465)CaDiCaL version: 2.1.3
% 0.79/0.42 % (3334465)Termination reason: Instruction limit
% 0.79/0.42 % (3334465)Termination phase: Property scanning
% 0.79/0.42 % (3334465)Time elapsed: 0.042 s
% 0.79/0.42 % (3334465)Peak memory usage: 11 MB
% 0.79/0.42 % (3334465)Instructions burned: 103 (million)
% 0.79/0.42 % (3334466)Instruction limit reached!
% 0.79/0.42 % (3334466)------------------------------
% 0.79/0.42 % (3334466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.42 % (3334466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.42 % (3334466)CaDiCaL version: 2.1.3
% 0.79/0.42 % (3334466)Termination reason: Instruction limit
% 0.79/0.42 % (3334466)Termination phase: Property scanning
% 0.79/0.42 % (3334466)Time elapsed: 0.048 s
% 0.79/0.42 % (3334466)Peak memory usage: 11 MB
% 0.79/0.42 % (3334466)Instructions burned: 118 (million)
% 0.79/0.42 % (3334463)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.79/0.42 % (3334467)Instruction limit reached!
% 0.79/0.42 % (3334467)------------------------------
% 0.79/0.42 % (3334467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.42 % (3334467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.42 % (3334467)CaDiCaL version: 2.1.3
% 0.79/0.42 % (3334467)Termination reason: Instruction limit
% 0.79/0.42 % (3334467)Termination phase: Saturation
% 0.79/0.42 % (3334467)Time elapsed: 0.054 s
% 0.79/0.42 % (3334467)Peak memory usage: 12 MB
% 0.79/0.42 % (3334467)Instructions burned: 132 (million)
% 0.79/0.42 % (3334476)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=185481952:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.79/0.42 % (3334468)Instruction limit reached!
% 0.79/0.42 % (3334468)------------------------------
% 0.79/0.42 % (3334468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.42 % (3334468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.42 % (3334468)CaDiCaL version: 2.1.3
% 0.79/0.42 % (3334468)Termination reason: Instruction limit
% 0.79/0.42 % (3334468)Termination phase: Saturation
% 0.79/0.42 % (3334468)Time elapsed: 0.066 s
% 0.79/0.42 % (3334468)Peak memory usage: 13 MB
% 0.79/0.42 % (3334468)Instructions burned: 161 (million)
% 0.79/0.42 % (3334477)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1579513224:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.79/0.42 % Exception at run slice level
% 0.79/0.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.79/0.42 % (3334478)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=4114538798:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.79/0.42 % (3334480)ott-21_1_sil=16000:fs=off:random_seed=4284894497:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.79/0.42 % (3334482)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=886804998:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.79/0.42 % (3334478)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.79/0.42 % Exception at run slice level
% 0.79/0.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.79/0.42 % (3334463) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3334457-3334463"...
% 0.79/0.42 % (3334477)Instruction limit reached!
% 0.79/0.42 % (3334477)------------------------------
% 0.79/0.42 % (3334477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.42 % (3334477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.42 % (3334477)CaDiCaL version: 2.1.3
% 0.79/0.42 % (3334477)Termination reason: Instruction limit
% 0.79/0.42 % (3334477)Termination phase: Saturation
% 0.79/0.42 % (3334477)Time elapsed: 0.053 s
% 0.79/0.42 % (3334477)Peak memory usage: 12 MB
% 0.79/0.42 % (3334477)Instructions burned: 131 (million)
% 0.79/0.42 % (3334463)...printing done.
% 0.79/0.42 % (3334463)Refutation found. Thanks to Tanya!
% 0.79/0.42 % SZS status Theorem for theBenchmark
% 0.79/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.79/0.42 % (3334463)------------------------------
% 0.79/0.42 % (3334463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.42 % (3334463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.42 % (3334463)CaDiCaL version: 2.1.3
% 0.79/0.42 % (3334463)Termination reason: Refutation
% 0.79/0.42 % (3334463)Time elapsed: 0.122 s
% 0.79/0.42 % (3334463)Peak memory usage: 15 MB
% 0.79/0.42 % (3334463)Instructions burned: 280 (million)
% 0.79/0.42 % (3334457)Success in time 0.175 s
% 0.79/0.42 % Vampire exiting
%------------------------------------------------------------------------------