%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP107^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 08:10:43 AM UTC 2026
% Result : Theorem 3.54s 0.90s
% Output : Refutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 15 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 256 ( 4 ~; 0 |; 0 &; 252 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 13 ( 12 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 977 ( 975 usr; 15 con; 0-4 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
partia539144763t_unit: $tType ).
thf(type_def_6,type,
partia1993116613t_unit: $tType ).
thf(type_def_7,type,
partia1833973666xt_a_b: $tType ).
thf(type_def_8,type,
partia96731725t_unit: $tType ).
thf(type_def_9,type,
set_se1596668135od_a_a: $tType ).
thf(type_def_10,type,
set_Product_prod_a_a: $tType ).
thf(type_def_11,type,
product_prod_a_a: $tType ).
thf(type_def_12,type,
set_set_a: $tType ).
thf(type_def_13,type,
set_a: $tType ).
thf(type_def_14,type,
nat: $tType ).
thf(type_def_15,type,
int: $tType ).
thf(type_def_16,type,
a: $tType ).
thf(type_def_17,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
a_RCOSETS_a_b: partia1833973666xt_a_b > set_a > set_set_a ).
thf(func_def_1,type,
a_l_coset_a_b: partia1833973666xt_a_b > a > set_a > set_a ).
thf(func_def_2,type,
a_r_coset_a_b: partia1833973666xt_a_b > set_a > a > set_a ).
thf(func_def_3,type,
additi2104487374up_a_b: set_a > partia1833973666xt_a_b > $o ).
thf(func_def_4,type,
set_add_a_b: partia1833973666xt_a_b > set_a > set_a > set_a ).
thf(func_def_5,type,
equiva2136214035t_unit: partia1993116613t_unit > $o ).
thf(func_def_6,type,
partia206007992t_unit: partia1993116613t_unit > set_Product_prod_a_a ).
thf(func_def_7,type,
partia616129906t_unit: partia539144763t_unit > set_se1596668135od_a_a ).
thf(func_def_8,type,
partia1955795460t_unit: partia96731725t_unit > set_a ).
thf(func_def_9,type,
partia1066395285xt_a_b: partia1833973666xt_a_b > set_a ).
thf(func_def_10,type,
units_1734235042t_unit: partia539144763t_unit > set_se1596668135od_a_a ).
thf(func_def_11,type,
units_a_Product_unit: partia96731725t_unit > set_a ).
thf(func_def_12,type,
units_a_ring_ext_a_b: partia1833973666xt_a_b > set_a ).
thf(func_def_13,type,
group_52730354t_unit: partia539144763t_unit > $o ).
thf(func_def_14,type,
group_a_Product_unit: partia96731725t_unit > $o ).
thf(func_def_15,type,
group_a_ring_ext_a_b: partia1833973666xt_a_b > $o ).
thf(func_def_16,type,
monoid1242292471t_unit: partia539144763t_unit > $o ).
thf(func_def_17,type,
monoid1447254976t_unit: partia96731725t_unit > $o ).
thf(func_def_18,type,
monoid1022105667xt_a_b: partia1833973666xt_a_b > $o ).
thf(func_def_19,type,
mult_s977248631t_unit: partia539144763t_unit > set_Product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a ).
thf(func_def_20,type,
mult_a_Product_unit: partia96731725t_unit > a > a > a ).
thf(func_def_21,type,
mult_a_ring_ext_a_b: partia1833973666xt_a_b > a > a > a ).
thf(func_def_22,type,
one_se1488596747t_unit: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_23,type,
one_a_Product_unit: partia96731725t_unit > a ).
thf(func_def_24,type,
one_a_ring_ext_a_b: partia1833973666xt_a_b > a ).
thf(func_def_25,type,
units_390215097t_unit: partia539144763t_unit > partia539144763t_unit ).
thf(func_def_26,type,
units_1411277569xt_a_b: partia1833973666xt_a_b > partia96731725t_unit ).
thf(func_def_27,type,
minus_minus_set_a: set_a > set_a > set_a ).
thf(func_def_28,type,
locali1170246543t_unit: partia1993116613t_unit > a > a > set_Product_prod_a_a ).
thf(func_def_29,type,
locali1648887798ac_a_b: partia1833973666xt_a_b > set_a > $o ).
thf(func_def_30,type,
locali1944243560ac_a_b: partia1833973666xt_a_b > set_a > partia539144763t_unit ).
thf(func_def_31,type,
locali807230110ng_a_b: partia1833973666xt_a_b > set_a > $o ).
thf(func_def_32,type,
locali880295127ng_a_b: partia1833973666xt_a_b > set_a > $o ).
thf(func_def_33,type,
locali1538946157t_unit: partia1993116613t_unit > set_se1596668135od_a_a ).
thf(func_def_34,type,
locali1488796916t_unit: partia539144763t_unit > set_se1596668135od_a_a > $o ).
thf(func_def_35,type,
locali425460998xt_a_b: partia1833973666xt_a_b > set_a > $o ).
thf(func_def_36,type,
bot_bo2131659635od_a_a: set_Product_prod_a_a ).
thf(func_def_37,type,
bot_bo1424703315od_a_a: set_se1596668135od_a_a ).
thf(func_def_38,type,
bot_bot_set_set_a: set_set_a ).
thf(func_def_39,type,
bot_bot_set_a: set_a ).
thf(func_def_40,type,
ord_le1824328871od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o ).
thf(func_def_41,type,
ord_le391835783od_a_a: set_se1596668135od_a_a > set_se1596668135od_a_a > $o ).
thf(func_def_42,type,
ord_le318720350_set_a: set_set_a > set_set_a > $o ).
thf(func_def_43,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_44,type,
product_Pair_a_a: a > a > product_prod_a_a ).
thf(func_def_45,type,
abelian_monoid_a_b: partia1833973666xt_a_b > $o ).
thf(func_def_46,type,
add_pow_a_b_int: partia1833973666xt_a_b > int > a > a ).
thf(func_def_47,type,
add_pow_a_b_nat: partia1833973666xt_a_b > nat > a > a ).
thf(func_def_48,type,
field_a_b: partia1833973666xt_a_b > $o ).
thf(func_def_49,type,
ring_a_b: partia1833973666xt_a_b > $o ).
thf(func_def_50,type,
zero_a_b: partia1833973666xt_a_b > a ).
thf(func_def_51,type,
semiring_a_b: partia1833973666xt_a_b > $o ).
thf(func_def_52,type,
collec645855634od_a_a: ( product_prod_a_a > $o ) > set_Product_prod_a_a ).
thf(func_def_53,type,
collec183727474od_a_a: ( set_Product_prod_a_a > $o ) > set_se1596668135od_a_a ).
thf(func_def_54,type,
collect_set_a: ( set_a > $o ) > set_set_a ).
thf(func_def_55,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_56,type,
pow_a: set_a > set_set_a ).
thf(func_def_57,type,
insert1116662519od_a_a: product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a ).
thf(func_def_58,type,
insert1738756823od_a_a: set_Product_prod_a_a > set_se1596668135od_a_a > set_se1596668135od_a_a ).
thf(func_def_59,type,
insert_set_a: set_a > set_set_a > set_set_a ).
thf(func_def_60,type,
insert_a: a > set_a > set_a ).
thf(func_def_61,type,
member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).
thf(func_def_62,type,
member1838126896od_a_a: set_Product_prod_a_a > set_se1596668135od_a_a > $o ).
thf(func_def_63,type,
member_set_a: set_a > set_set_a > $o ).
thf(func_def_64,type,
member_a: a > set_a > $o ).
thf(func_def_65,type,
r: partia1833973666xt_a_b ).
thf(func_def_66,type,
s: set_a ).
thf(func_def_67,type,
r2: a ).
thf(func_def_68,type,
r3: a ).
thf(func_def_69,type,
rel: partia1993116613t_unit ).
thf(func_def_70,type,
s2: a ).
thf(func_def_71,type,
s3: a ).
thf(func_def_75,type,
vAND: $o > $o > $o ).
thf(func_def_76,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_77,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_78,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_79,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_80,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_81,type,
vIMP: $o > $o > $o ).
thf(func_def_82,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_83,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_84,type,
vNOT: $o > $o ).
thf(func_def_85,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_86,type,
vOR: $o > $o > $o ).
thf(func_def_87,type,
sP0: partia539144763t_unit > $o ).
thf(func_def_88,type,
sP1: partia539144763t_unit > $o ).
thf(func_def_89,type,
sP2: partia1833973666xt_a_b > $o ).
thf(func_def_90,type,
sP3: partia1833973666xt_a_b > $o ).
thf(func_def_91,type,
sP4: partia539144763t_unit > $o ).
thf(func_def_92,type,
sP5: partia539144763t_unit > $o ).
thf(func_def_93,type,
sP6: partia1833973666xt_a_b > $o ).
thf(func_def_94,type,
sP7: partia1833973666xt_a_b > $o ).
thf(func_def_95,type,
sP8: partia96731725t_unit > $o ).
thf(func_def_96,type,
sP9: partia96731725t_unit > $o ).
thf(func_def_97,type,
sP10: partia539144763t_unit > $o ).
thf(func_def_98,type,
sP11: partia539144763t_unit > $o ).
thf(func_def_99,type,
sP12: partia1833973666xt_a_b > $o ).
thf(func_def_100,type,
sP13: partia1833973666xt_a_b > $o ).
thf(func_def_101,type,
sK14: a > a ).
thf(func_def_102,type,
sK15: a > a ).
thf(func_def_103,type,
sK16: a > a ).
thf(func_def_104,type,
sK17: ( product_prod_a_a > $o ) > a ).
thf(func_def_105,type,
sK18: ( product_prod_a_a > $o ) > a ).
thf(func_def_106,type,
sK19: product_prod_a_a > a ).
thf(func_def_107,type,
sK20: product_prod_a_a > a ).
thf(func_def_108,type,
sK21: ( product_prod_a_a > $o ) > a ).
thf(func_def_109,type,
sK22: ( product_prod_a_a > $o ) > a ).
thf(func_def_110,type,
sK23: product_prod_a_a > a ).
thf(func_def_111,type,
sK24: product_prod_a_a > a ).
thf(func_def_112,type,
sK25: a ).
thf(func_def_113,type,
sK26: set_Product_prod_a_a > partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_114,type,
sK27: a > partia1833973666xt_a_b > a ).
thf(func_def_115,type,
sK28: set_Product_prod_a_a > partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_116,type,
sK29: a > partia1833973666xt_a_b > a ).
thf(func_def_117,type,
sK30: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_118,type,
sK31: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_119,type,
sK32: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_120,type,
sK33: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_121,type,
sK34: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_122,type,
sK35: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_123,type,
sK36: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_124,type,
sK37: partia1833973666xt_a_b > a ).
thf(func_def_125,type,
sK38: partia1833973666xt_a_b > a ).
thf(func_def_126,type,
sK39: partia1833973666xt_a_b > a ).
thf(func_def_127,type,
sK40: partia1833973666xt_a_b > a ).
thf(func_def_128,type,
sK41: partia1833973666xt_a_b > a ).
thf(func_def_129,type,
sK42: partia1833973666xt_a_b > a ).
thf(func_def_130,type,
sK43: partia1833973666xt_a_b > a ).
thf(func_def_131,type,
sK44: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_132,type,
sK45: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_133,type,
sK46: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_134,type,
sK47: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_135,type,
sK48: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_136,type,
sK49: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_137,type,
sK50: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_138,type,
sK51: partia1833973666xt_a_b > a ).
thf(func_def_139,type,
sK52: partia1833973666xt_a_b > a ).
thf(func_def_140,type,
sK53: partia1833973666xt_a_b > a ).
thf(func_def_141,type,
sK54: partia1833973666xt_a_b > a ).
thf(func_def_142,type,
sK55: partia1833973666xt_a_b > a ).
thf(func_def_143,type,
sK56: partia1833973666xt_a_b > a ).
thf(func_def_144,type,
sK57: partia1833973666xt_a_b > a ).
thf(func_def_145,type,
sK58: set_Product_prod_a_a > partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_146,type,
sK59: a > partia1833973666xt_a_b > a ).
thf(func_def_147,type,
sK60: a ).
thf(func_def_148,type,
sK61: a > partia96731725t_unit > a ).
thf(func_def_149,type,
sK62: set_Product_prod_a_a > partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_150,type,
sK63: a > partia1833973666xt_a_b > a ).
thf(func_def_151,type,
sK64: a > partia96731725t_unit > a ).
thf(func_def_152,type,
sK65: set_Product_prod_a_a > partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_153,type,
sK66: a > partia1833973666xt_a_b > a ).
thf(func_def_154,type,
sK67: partia96731725t_unit > a ).
thf(func_def_155,type,
sK68: partia96731725t_unit > a ).
thf(func_def_156,type,
sK69: partia96731725t_unit > a ).
thf(func_def_157,type,
sK70: partia96731725t_unit > a ).
thf(func_def_158,type,
sK71: partia96731725t_unit > a ).
thf(func_def_159,type,
sK72: partia96731725t_unit > a ).
thf(func_def_160,type,
sK73: partia96731725t_unit > a ).
thf(func_def_161,type,
sK74: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_162,type,
sK75: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_163,type,
sK76: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_164,type,
sK77: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_165,type,
sK78: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_166,type,
sK79: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_167,type,
sK80: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_168,type,
sK81: partia1833973666xt_a_b > a ).
thf(func_def_169,type,
sK82: partia1833973666xt_a_b > a ).
thf(func_def_170,type,
sK83: partia1833973666xt_a_b > a ).
thf(func_def_171,type,
sK84: partia1833973666xt_a_b > a ).
thf(func_def_172,type,
sK85: partia1833973666xt_a_b > a ).
thf(func_def_173,type,
sK86: partia1833973666xt_a_b > a ).
thf(func_def_174,type,
sK87: partia1833973666xt_a_b > a ).
thf(func_def_175,type,
sK88: partia96731725t_unit > a ).
thf(func_def_176,type,
sK89: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_177,type,
sK90: partia1833973666xt_a_b > a ).
thf(func_def_178,type,
sK91: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_179,type,
sK92: set_se1596668135od_a_a > set_se1596668135od_a_a > set_Product_prod_a_a ).
thf(func_def_180,type,
sK93: set_a > set_a > a ).
thf(func_def_181,type,
sK94: set_set_a > set_set_a > set_a ).
thf(func_def_182,type,
sK95: set_se1596668135od_a_a > set_Product_prod_a_a ).
thf(func_def_183,type,
sK96: set_set_a > set_a ).
thf(func_def_184,type,
sK97: set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_185,type,
sK98: set_a > a ).
thf(func_def_186,type,
sK99: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_187,type,
sK100: ( set_a > $o ) > ( set_a > $o ) > set_a ).
thf(func_def_188,type,
sK101: set_a > a > set_a ).
thf(func_def_189,type,
sK102: set_Product_prod_a_a > product_prod_a_a > set_Product_prod_a_a ).
thf(func_def_190,type,
sK103: set_se1596668135od_a_a > set_Product_prod_a_a > set_se1596668135od_a_a ).
thf(func_def_191,type,
sK104: set_set_a > set_a > set_set_a ).
thf(func_def_192,type,
sK105: set_a > a > set_a ).
thf(func_def_193,type,
sK106: set_Product_prod_a_a > product_prod_a_a > set_Product_prod_a_a ).
thf(func_def_194,type,
sK107: set_se1596668135od_a_a > set_Product_prod_a_a > set_se1596668135od_a_a ).
thf(func_def_195,type,
sK108: set_set_a > set_a > set_set_a ).
thf(func_def_196,type,
sK109: a ).
thf(func_def_197,type,
sK110: set_set_a > set_a > set_set_a > set_a > set_set_a ).
thf(func_def_198,type,
sK111: set_se1596668135od_a_a > set_Product_prod_a_a > set_se1596668135od_a_a > set_Product_prod_a_a > set_se1596668135od_a_a ).
thf(func_def_199,type,
sK112: set_Product_prod_a_a > product_prod_a_a > set_Product_prod_a_a > product_prod_a_a > set_Product_prod_a_a ).
thf(func_def_200,type,
sK113: set_a > a > set_a > a > set_a ).
thf(func_def_201,type,
sK114: set_a > set_set_a > set_a ).
thf(func_def_202,type,
sK115: a > set_a > a ).
thf(func_def_203,type,
sK116: product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_204,type,
sK117: set_a > set_set_a > set_a ).
thf(func_def_205,type,
sK118: a > set_a > a ).
thf(func_def_206,type,
sK119: product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_207,type,
sK120: set_set_a > set_a > set_a ).
thf(func_def_208,type,
sK121: set_a > a > a ).
thf(func_def_209,type,
sK122: set_Product_prod_a_a > product_prod_a_a > product_prod_a_a ).
thf(func_def_210,type,
sK123: set_set_a > set_a > set_a ).
thf(func_def_211,type,
sK124: set_a > a > a ).
thf(func_def_212,type,
sK125: set_Product_prod_a_a > product_prod_a_a > product_prod_a_a ).
thf(func_def_213,type,
sK126: set_set_a > set_a > set_set_a > set_a ).
thf(func_def_214,type,
sK127: set_set_a > set_a > set_set_a > set_a ).
thf(func_def_215,type,
sK128: set_set_a > set_set_a > set_a ).
thf(func_def_216,type,
sK129: set_a > a > set_a > a ).
thf(func_def_217,type,
sK130: set_a > a > set_a > a ).
thf(func_def_218,type,
sK131: set_a > set_a > a ).
thf(func_def_219,type,
sK132: set_se1596668135od_a_a > set_Product_prod_a_a > set_se1596668135od_a_a > set_Product_prod_a_a ).
thf(func_def_220,type,
sK133: set_se1596668135od_a_a > set_Product_prod_a_a > set_se1596668135od_a_a > set_Product_prod_a_a ).
thf(func_def_221,type,
sK134: set_se1596668135od_a_a > set_se1596668135od_a_a > set_Product_prod_a_a ).
thf(func_def_222,type,
sK135: set_Product_prod_a_a > product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_223,type,
sK136: set_Product_prod_a_a > product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_224,type,
sK137: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_225,type,
sK138: set_a > a ).
thf(func_def_226,type,
sK139: partia1833973666xt_a_b > a ).
thf(func_def_227,type,
sK140: partia1833973666xt_a_b > a ).
thf(func_def_228,type,
sK141: partia1833973666xt_a_b > a ).
thf(func_def_229,type,
sK142: partia1833973666xt_a_b > a ).
thf(func_def_230,type,
sK143: partia1833973666xt_a_b > a ).
thf(func_def_231,type,
sK144: partia1833973666xt_a_b > a ).
thf(func_def_232,type,
sK145: partia1833973666xt_a_b > a ).
thf(func_def_233,type,
sK146: partia1833973666xt_a_b > a ).
thf(func_def_234,type,
sK147: partia1833973666xt_a_b > a ).
thf(func_def_235,type,
sK148: partia1833973666xt_a_b > a ).
thf(func_def_236,type,
sK149: partia1833973666xt_a_b > a ).
thf(func_def_237,type,
sK150: partia1833973666xt_a_b > a ).
thf(func_def_238,type,
sK151: partia1833973666xt_a_b > a ).
thf(func_def_239,type,
sK152: partia1833973666xt_a_b > a ).
thf(func_def_240,type,
sK153: partia1833973666xt_a_b > a ).
thf(func_def_241,type,
sK154: partia1833973666xt_a_b > a ).
thf(func_def_242,type,
sK155: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_243,type,
sK156: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_244,type,
sK157: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_245,type,
sK158: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_246,type,
sK159: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_247,type,
sK160: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_248,type,
sK161: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_249,type,
sK162: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_250,type,
sK163: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_251,type,
sK164: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_252,type,
sK165: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_253,type,
sK166: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_254,type,
sK167: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_255,type,
sK168: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_256,type,
sK169: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_257,type,
sK170: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_258,type,
sK171: set_a > a ).
thf(func_def_259,type,
sK172: set_a > a ).
thf(func_def_260,type,
sK173: set_a > a ).
thf(func_def_261,type,
sK174: set_a > a ).
thf(func_def_262,type,
sK175: set_a > a ).
thf(func_def_263,type,
sK176: set_a > a ).
thf(func_def_264,type,
sK177: ( set_a > $o ) > ( set_a > $o ) > set_a ).
thf(func_def_265,type,
sK178: ( set_a > $o ) > ( set_a > $o ) > set_a ).
thf(func_def_266,type,
sK179: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_267,type,
sK180: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_268,type,
sK181: set_set_a > set_set_a > set_a ).
thf(func_def_269,type,
sK182: set_set_a > set_set_a > set_a ).
thf(func_def_270,type,
sK183: set_a > set_a > a ).
thf(func_def_271,type,
sK184: set_a > set_a > a ).
thf(func_def_272,type,
sK185: set_set_a > set_set_a > set_a ).
thf(func_def_273,type,
sK186: set_a > set_a > a ).
thf(func_def_274,type,
sK187: set_se1596668135od_a_a > set_se1596668135od_a_a > set_Product_prod_a_a ).
thf(func_def_275,type,
sK188: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_276,type,
sK189: set_set_a > set_set_a > set_a ).
thf(func_def_277,type,
sK190: set_a > set_a > a ).
thf(func_def_278,type,
sK191: set_se1596668135od_a_a > set_se1596668135od_a_a > set_Product_prod_a_a ).
thf(func_def_279,type,
sK192: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_280,type,
sK193: set_a > a ).
thf(func_def_281,type,
sK194: set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_282,type,
sK195: set_set_a > set_a ).
thf(func_def_283,type,
sK196: set_se1596668135od_a_a > set_Product_prod_a_a ).
thf(func_def_284,type,
sK197: set_a > a ).
thf(func_def_285,type,
sK198: set_set_a > set_set_a > set_a ).
thf(func_def_286,type,
sK199: set_set_a > set_set_a > set_a ).
thf(func_def_287,type,
sK200: set_a > set_a > a ).
thf(func_def_288,type,
sK201: set_a > set_a > a ).
thf(func_def_289,type,
sK202: ( a > $o ) > a ).
thf(func_def_290,type,
sK203: ( product_prod_a_a > $o ) > product_prod_a_a ).
thf(func_def_291,type,
sK204: ( a > $o ) > a ).
thf(func_def_292,type,
sK205: ( product_prod_a_a > $o ) > product_prod_a_a ).
thf(func_def_293,type,
sK206: set_a > a ).
thf(func_def_294,type,
sK207: set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_295,type,
sK208: set_set_a > set_a ).
thf(func_def_296,type,
sK209: set_se1596668135od_a_a > set_Product_prod_a_a ).
thf(func_def_297,type,
sK210: set_set_a > set_a ).
thf(func_def_298,type,
sK211: set_a > a ).
thf(func_def_299,type,
sK212: set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_300,type,
sK213: set_a > a ).
thf(func_def_301,type,
sK214: set_a > a ).
thf(func_def_302,type,
sK215: set_a > a ).
thf(func_def_303,type,
sK216: set_a > a ).
thf(func_def_304,type,
sK217: set_a > a ).
thf(func_def_305,type,
sK218: partia1833973666xt_a_b > a ).
thf(func_def_306,type,
sK219: partia1833973666xt_a_b > a ).
thf(func_def_307,type,
sK220: partia1833973666xt_a_b > a ).
thf(func_def_308,type,
sK221: partia1833973666xt_a_b > a ).
thf(func_def_309,type,
sK222: partia1833973666xt_a_b > a ).
thf(func_def_310,type,
sK223: partia1833973666xt_a_b > a ).
thf(func_def_311,type,
sK224: partia1833973666xt_a_b > a ).
thf(func_def_312,type,
sK225: partia1833973666xt_a_b > a ).
thf(func_def_313,type,
sK226: partia1833973666xt_a_b > a ).
thf(func_def_314,type,
sK227: partia1833973666xt_a_b > a ).
thf(func_def_315,type,
sK228: partia1833973666xt_a_b > a ).
thf(func_def_316,type,
sK229: partia1833973666xt_a_b > a ).
thf(func_def_317,type,
sK230: partia1833973666xt_a_b > a ).
thf(func_def_318,type,
sK231: partia1833973666xt_a_b > a ).
thf(func_def_319,type,
sK232: partia1833973666xt_a_b > a ).
thf(func_def_320,type,
sK233: partia1833973666xt_a_b > a ).
thf(func_def_321,type,
sK234: partia1833973666xt_a_b > a ).
thf(func_def_322,type,
sK235: partia1833973666xt_a_b > a ).
thf(func_def_323,type,
sK236: partia1833973666xt_a_b > a ).
thf(func_def_324,type,
sK237: partia1833973666xt_a_b > a ).
thf(func_def_325,type,
sK238: partia1833973666xt_a_b > a ).
thf(func_def_326,type,
sK239: partia1833973666xt_a_b > a ).
thf(func_def_327,type,
sK240: partia1833973666xt_a_b > a ).
thf(func_def_328,type,
sK241: partia1833973666xt_a_b > a ).
thf(func_def_329,type,
sK242: partia1833973666xt_a_b > a ).
thf(func_def_330,type,
sK243: partia1833973666xt_a_b > a ).
thf(func_def_331,type,
sK244: partia1833973666xt_a_b > a ).
thf(func_def_332,type,
sK245: partia1833973666xt_a_b > a ).
thf(func_def_333,type,
sK246: partia1833973666xt_a_b > a ).
thf(func_def_334,type,
sK247: partia1833973666xt_a_b > a ).
thf(func_def_335,type,
sK248: partia1833973666xt_a_b > a ).
thf(func_def_336,type,
sK249: partia1833973666xt_a_b > a ).
thf(func_def_337,type,
sK250: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_338,type,
sK251: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_339,type,
sK252: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_340,type,
sK253: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_341,type,
sK254: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_342,type,
sK255: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_343,type,
sK256: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_344,type,
sK257: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_345,type,
sK258: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_346,type,
sK259: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_347,type,
sK260: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_348,type,
sK261: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_349,type,
sK262: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_350,type,
sK263: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_351,type,
sK264: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_352,type,
sK265: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_353,type,
sK266: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_354,type,
sK267: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_355,type,
sK268: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_356,type,
sK269: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_357,type,
sK270: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_358,type,
sK271: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_359,type,
sK272: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_360,type,
sK273: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_361,type,
sK274: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_362,type,
sK275: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_363,type,
sK276: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_364,type,
sK277: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_365,type,
sK278: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_366,type,
sK279: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_367,type,
sK280: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_368,type,
sK281: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_369,type,
sK282: partia1833973666xt_a_b > a ).
thf(func_def_370,type,
sK283: partia1833973666xt_a_b > a ).
thf(func_def_371,type,
sK284: partia1833973666xt_a_b > a ).
thf(func_def_372,type,
sK285: partia1833973666xt_a_b > a ).
thf(func_def_373,type,
sK286: partia1833973666xt_a_b > a ).
thf(func_def_374,type,
sK287: partia1833973666xt_a_b > a ).
thf(func_def_375,type,
sK288: partia1833973666xt_a_b > a ).
thf(func_def_376,type,
sK289: partia1833973666xt_a_b > a ).
thf(func_def_377,type,
sK290: partia1833973666xt_a_b > a ).
thf(func_def_378,type,
sK291: partia1833973666xt_a_b > a ).
thf(func_def_379,type,
sK292: partia1833973666xt_a_b > a ).
thf(func_def_380,type,
sK293: partia1833973666xt_a_b > a ).
thf(func_def_381,type,
sK294: partia1833973666xt_a_b > a ).
thf(func_def_382,type,
sK295: partia1833973666xt_a_b > a ).
thf(func_def_383,type,
sK296: partia1833973666xt_a_b > a ).
thf(func_def_384,type,
sK297: partia1833973666xt_a_b > a ).
thf(func_def_385,type,
sK298: partia1833973666xt_a_b > a ).
thf(func_def_386,type,
sK299: partia1833973666xt_a_b > a ).
thf(func_def_387,type,
sK300: partia1833973666xt_a_b > a ).
thf(func_def_388,type,
sK301: partia1833973666xt_a_b > a ).
thf(func_def_389,type,
sK302: partia1833973666xt_a_b > a ).
thf(func_def_390,type,
sK303: partia1833973666xt_a_b > a ).
thf(func_def_391,type,
sK304: partia1833973666xt_a_b > a ).
thf(func_def_392,type,
sK305: partia1833973666xt_a_b > a ).
thf(func_def_393,type,
sK306: partia1833973666xt_a_b > a ).
thf(func_def_394,type,
sK307: partia1833973666xt_a_b > a ).
thf(func_def_395,type,
sK308: partia1833973666xt_a_b > a ).
thf(func_def_396,type,
sK309: partia1833973666xt_a_b > a ).
thf(func_def_397,type,
sK310: partia1833973666xt_a_b > a ).
thf(func_def_398,type,
sK311: partia1833973666xt_a_b > a ).
thf(func_def_399,type,
sK312: partia1833973666xt_a_b > a ).
thf(func_def_400,type,
sK313: partia1833973666xt_a_b > a ).
thf(func_def_401,type,
sK314: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_402,type,
sK315: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_403,type,
sK316: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_404,type,
sK317: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_405,type,
sK318: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_406,type,
sK319: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_407,type,
sK320: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_408,type,
sK321: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_409,type,
sK322: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_410,type,
sK323: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_411,type,
sK324: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_412,type,
sK325: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_413,type,
sK326: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_414,type,
sK327: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_415,type,
sK328: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_416,type,
sK329: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_417,type,
sK330: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_418,type,
sK331: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_419,type,
sK332: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_420,type,
sK333: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_421,type,
sK334: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_422,type,
sK335: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_423,type,
sK336: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_424,type,
sK337: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_425,type,
sK338: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_426,type,
sK339: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_427,type,
sK340: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_428,type,
sK341: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_429,type,
sK342: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_430,type,
sK343: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_431,type,
sK344: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_432,type,
sK345: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_433,type,
sK346: partia1833973666xt_a_b > a ).
thf(func_def_434,type,
sK347: partia1833973666xt_a_b > a ).
thf(func_def_435,type,
sK348: partia1833973666xt_a_b > a ).
thf(func_def_436,type,
sK349: partia1833973666xt_a_b > a ).
thf(func_def_437,type,
sK350: partia1833973666xt_a_b > a ).
thf(func_def_438,type,
sK351: partia1833973666xt_a_b > a ).
thf(func_def_439,type,
sK352: partia1833973666xt_a_b > a ).
thf(func_def_440,type,
sK353: partia1833973666xt_a_b > a ).
thf(func_def_441,type,
sK354: partia1833973666xt_a_b > a ).
thf(func_def_442,type,
sK355: partia1833973666xt_a_b > a ).
thf(func_def_443,type,
sK356: partia1833973666xt_a_b > a ).
thf(func_def_444,type,
sK357: partia1833973666xt_a_b > a ).
thf(func_def_445,type,
sK358: partia1833973666xt_a_b > a ).
thf(func_def_446,type,
sK359: partia1833973666xt_a_b > a ).
thf(func_def_447,type,
sK360: partia1833973666xt_a_b > a ).
thf(func_def_448,type,
sK361: partia1833973666xt_a_b > a ).
thf(func_def_449,type,
sK362: partia1833973666xt_a_b > a ).
thf(func_def_450,type,
sK363: partia1833973666xt_a_b > a ).
thf(func_def_451,type,
sK364: partia1833973666xt_a_b > a ).
thf(func_def_452,type,
sK365: partia1833973666xt_a_b > a ).
thf(func_def_453,type,
sK366: partia1833973666xt_a_b > a ).
thf(func_def_454,type,
sK367: partia1833973666xt_a_b > a ).
thf(func_def_455,type,
sK368: partia1833973666xt_a_b > a ).
thf(func_def_456,type,
sK369: partia1833973666xt_a_b > a ).
thf(func_def_457,type,
sK370: partia1833973666xt_a_b > a ).
thf(func_def_458,type,
sK371: partia1833973666xt_a_b > a ).
thf(func_def_459,type,
sK372: partia1833973666xt_a_b > a ).
thf(func_def_460,type,
sK373: partia1833973666xt_a_b > a ).
thf(func_def_461,type,
sK374: partia1833973666xt_a_b > a ).
thf(func_def_462,type,
sK375: partia1833973666xt_a_b > a ).
thf(func_def_463,type,
sK376: partia1833973666xt_a_b > a ).
thf(func_def_464,type,
sK377: partia1833973666xt_a_b > a ).
thf(func_def_465,type,
sK378: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_466,type,
sK379: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_467,type,
sK380: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_468,type,
sK381: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_469,type,
sK382: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_470,type,
sK383: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_471,type,
sK384: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_472,type,
sK385: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_473,type,
sK386: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_474,type,
sK387: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_475,type,
sK388: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_476,type,
sK389: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_477,type,
sK390: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_478,type,
sK391: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_479,type,
sK392: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_480,type,
sK393: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_481,type,
sK394: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_482,type,
sK395: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_483,type,
sK396: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_484,type,
sK397: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_485,type,
sK398: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_486,type,
sK399: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_487,type,
sK400: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_488,type,
sK401: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_489,type,
sK402: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_490,type,
sK403: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_491,type,
sK404: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_492,type,
sK405: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_493,type,
sK406: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_494,type,
sK407: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_495,type,
sK408: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_496,type,
sK409: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_497,type,
sK410: partia1833973666xt_a_b > a ).
thf(func_def_498,type,
sK411: partia1833973666xt_a_b > a ).
thf(func_def_499,type,
sK412: partia1833973666xt_a_b > a ).
thf(func_def_500,type,
sK413: partia1833973666xt_a_b > a ).
thf(func_def_501,type,
sK414: partia1833973666xt_a_b > a ).
thf(func_def_502,type,
sK415: partia1833973666xt_a_b > a ).
thf(func_def_503,type,
sK416: partia1833973666xt_a_b > a ).
thf(func_def_504,type,
sK417: partia1833973666xt_a_b > a ).
thf(func_def_505,type,
sK418: partia1833973666xt_a_b > a ).
thf(func_def_506,type,
sK419: partia1833973666xt_a_b > a ).
thf(func_def_507,type,
sK420: partia1833973666xt_a_b > a ).
thf(func_def_508,type,
sK421: partia1833973666xt_a_b > a ).
thf(func_def_509,type,
sK422: partia1833973666xt_a_b > a ).
thf(func_def_510,type,
sK423: partia1833973666xt_a_b > a ).
thf(func_def_511,type,
sK424: partia1833973666xt_a_b > a ).
thf(func_def_512,type,
sK425: partia1833973666xt_a_b > a ).
thf(func_def_513,type,
sK426: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_514,type,
sK427: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_515,type,
sK428: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_516,type,
sK429: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_517,type,
sK430: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_518,type,
sK431: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_519,type,
sK432: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_520,type,
sK433: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_521,type,
sK434: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_522,type,
sK435: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_523,type,
sK436: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_524,type,
sK437: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_525,type,
sK438: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_526,type,
sK439: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_527,type,
sK440: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_528,type,
sK441: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_529,type,
sK442: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_530,type,
sK443: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_531,type,
sK444: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_532,type,
sK445: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_533,type,
sK446: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_534,type,
sK447: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_535,type,
sK448: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_536,type,
sK449: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_537,type,
sK450: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_538,type,
sK451: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_539,type,
sK452: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_540,type,
sK453: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_541,type,
sK454: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_542,type,
sK455: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_543,type,
sK456: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_544,type,
sK457: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_545,type,
sK458: partia1833973666xt_a_b > a ).
thf(func_def_546,type,
sK459: partia1833973666xt_a_b > a ).
thf(func_def_547,type,
sK460: partia1833973666xt_a_b > a ).
thf(func_def_548,type,
sK461: partia1833973666xt_a_b > a ).
thf(func_def_549,type,
sK462: partia1833973666xt_a_b > a ).
thf(func_def_550,type,
sK463: partia1833973666xt_a_b > a ).
thf(func_def_551,type,
sK464: partia1833973666xt_a_b > a ).
thf(func_def_552,type,
sK465: partia1833973666xt_a_b > a ).
thf(func_def_553,type,
sK466: partia1833973666xt_a_b > a ).
thf(func_def_554,type,
sK467: partia1833973666xt_a_b > a ).
thf(func_def_555,type,
sK468: partia1833973666xt_a_b > a ).
thf(func_def_556,type,
sK469: partia1833973666xt_a_b > a ).
thf(func_def_557,type,
sK470: partia1833973666xt_a_b > a ).
thf(func_def_558,type,
sK471: partia1833973666xt_a_b > a ).
thf(func_def_559,type,
sK472: partia1833973666xt_a_b > a ).
thf(func_def_560,type,
sK473: partia1833973666xt_a_b > a ).
thf(func_def_561,type,
sK474: partia1833973666xt_a_b > a ).
thf(func_def_562,type,
sK475: partia1833973666xt_a_b > a ).
thf(func_def_563,type,
sK476: partia1833973666xt_a_b > a ).
thf(func_def_564,type,
sK477: partia1833973666xt_a_b > a ).
thf(func_def_565,type,
sK478: partia1833973666xt_a_b > a ).
thf(func_def_566,type,
sK479: partia1833973666xt_a_b > a ).
thf(func_def_567,type,
sK480: partia1833973666xt_a_b > a ).
thf(func_def_568,type,
sK481: partia1833973666xt_a_b > a ).
thf(func_def_569,type,
sK482: partia1833973666xt_a_b > a ).
thf(func_def_570,type,
sK483: partia1833973666xt_a_b > a ).
thf(func_def_571,type,
sK484: partia1833973666xt_a_b > a ).
thf(func_def_572,type,
sK485: partia1833973666xt_a_b > a ).
thf(func_def_573,type,
sK486: partia1833973666xt_a_b > a ).
thf(func_def_574,type,
sK487: partia1833973666xt_a_b > a ).
thf(func_def_575,type,
sK488: partia1833973666xt_a_b > a ).
thf(func_def_576,type,
sK489: partia1833973666xt_a_b > a ).
thf(func_def_577,type,
sK490: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_578,type,
sK491: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_579,type,
sK492: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_580,type,
sK493: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_581,type,
sK494: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_582,type,
sK495: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_583,type,
sK496: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_584,type,
sK497: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_585,type,
sK498: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_586,type,
sK499: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_587,type,
sK500: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_588,type,
sK501: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_589,type,
sK502: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_590,type,
sK503: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_591,type,
sK504: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_592,type,
sK505: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_593,type,
sK506: partia1833973666xt_a_b > a ).
thf(func_def_594,type,
sK507: partia1833973666xt_a_b > a ).
thf(func_def_595,type,
sK508: partia1833973666xt_a_b > a ).
thf(func_def_596,type,
sK509: partia1833973666xt_a_b > a ).
thf(func_def_597,type,
sK510: partia1833973666xt_a_b > a ).
thf(func_def_598,type,
sK511: partia1833973666xt_a_b > a ).
thf(func_def_599,type,
sK512: partia1833973666xt_a_b > a ).
thf(func_def_600,type,
sK513: partia1833973666xt_a_b > a ).
thf(func_def_601,type,
sK514: partia1833973666xt_a_b > a ).
thf(func_def_602,type,
sK515: partia1833973666xt_a_b > a ).
thf(func_def_603,type,
sK516: partia1833973666xt_a_b > a ).
thf(func_def_604,type,
sK517: partia1833973666xt_a_b > a ).
thf(func_def_605,type,
sK518: partia1833973666xt_a_b > a ).
thf(func_def_606,type,
sK519: partia1833973666xt_a_b > a ).
thf(func_def_607,type,
sK520: partia1833973666xt_a_b > a ).
thf(func_def_608,type,
sK521: partia1833973666xt_a_b > a ).
thf(func_def_609,type,
sK522: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_610,type,
sK523: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_611,type,
sK524: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_612,type,
sK525: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_613,type,
sK526: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_614,type,
sK527: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_615,type,
sK528: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_616,type,
sK529: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_617,type,
sK530: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_618,type,
sK531: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_619,type,
sK532: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_620,type,
sK533: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_621,type,
sK534: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_622,type,
sK535: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_623,type,
sK536: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_624,type,
sK537: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_625,type,
sK538: partia1833973666xt_a_b > a ).
thf(func_def_626,type,
sK539: partia1833973666xt_a_b > a ).
thf(func_def_627,type,
sK540: partia1833973666xt_a_b > a ).
thf(func_def_628,type,
sK541: partia1833973666xt_a_b > a ).
thf(func_def_629,type,
sK542: partia1833973666xt_a_b > a ).
thf(func_def_630,type,
sK543: partia1833973666xt_a_b > a ).
thf(func_def_631,type,
sK544: partia1833973666xt_a_b > a ).
thf(func_def_632,type,
sK545: partia1833973666xt_a_b > a ).
thf(func_def_633,type,
sK546: partia1833973666xt_a_b > a ).
thf(func_def_634,type,
sK547: partia1833973666xt_a_b > a ).
thf(func_def_635,type,
sK548: partia1833973666xt_a_b > a ).
thf(func_def_636,type,
sK549: partia1833973666xt_a_b > a ).
thf(func_def_637,type,
sK550: partia1833973666xt_a_b > a ).
thf(func_def_638,type,
sK551: partia1833973666xt_a_b > a ).
thf(func_def_639,type,
sK552: partia1833973666xt_a_b > a ).
thf(func_def_640,type,
sK553: partia1833973666xt_a_b > a ).
thf(func_def_641,type,
sK554: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_642,type,
sK555: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_643,type,
sK556: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_644,type,
sK557: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_645,type,
sK558: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_646,type,
sK559: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_647,type,
sK560: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_648,type,
sK561: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_649,type,
sK562: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_650,type,
sK563: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_651,type,
sK564: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_652,type,
sK565: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_653,type,
sK566: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_654,type,
sK567: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_655,type,
sK568: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_656,type,
sK569: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_657,type,
sK570: partia1833973666xt_a_b > a ).
thf(func_def_658,type,
sK571: partia1833973666xt_a_b > a ).
thf(func_def_659,type,
sK572: partia1833973666xt_a_b > a ).
thf(func_def_660,type,
sK573: partia1833973666xt_a_b > a ).
thf(func_def_661,type,
sK574: partia1833973666xt_a_b > a ).
thf(func_def_662,type,
sK575: partia1833973666xt_a_b > a ).
thf(func_def_663,type,
sK576: partia1833973666xt_a_b > a ).
thf(func_def_664,type,
sK577: partia1833973666xt_a_b > a ).
thf(func_def_665,type,
sK578: partia1833973666xt_a_b > a ).
thf(func_def_666,type,
sK579: partia1833973666xt_a_b > a ).
thf(func_def_667,type,
sK580: partia1833973666xt_a_b > a ).
thf(func_def_668,type,
sK581: partia1833973666xt_a_b > a ).
thf(func_def_669,type,
sK582: partia1833973666xt_a_b > a ).
thf(func_def_670,type,
sK583: partia1833973666xt_a_b > a ).
thf(func_def_671,type,
sK584: partia1833973666xt_a_b > a ).
thf(func_def_672,type,
sK585: partia1833973666xt_a_b > a ).
thf(func_def_673,type,
sK586: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_674,type,
sK587: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_675,type,
sK588: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_676,type,
sK589: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_677,type,
sK590: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_678,type,
sK591: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_679,type,
sK592: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_680,type,
sK593: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_681,type,
sK594: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_682,type,
sK595: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_683,type,
sK596: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_684,type,
sK597: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_685,type,
sK598: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_686,type,
sK599: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_687,type,
sK600: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_688,type,
sK601: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_689,type,
sK602: partia1833973666xt_a_b > a ).
thf(func_def_690,type,
sK603: partia1833973666xt_a_b > a ).
thf(func_def_691,type,
sK604: partia1833973666xt_a_b > a ).
thf(func_def_692,type,
sK605: partia1833973666xt_a_b > a ).
thf(func_def_693,type,
sK606: partia1833973666xt_a_b > a ).
thf(func_def_694,type,
sK607: partia1833973666xt_a_b > a ).
thf(func_def_695,type,
sK608: partia1833973666xt_a_b > a ).
thf(func_def_696,type,
sK609: partia1833973666xt_a_b > a ).
thf(func_def_697,type,
sK610: partia1833973666xt_a_b > a ).
thf(func_def_698,type,
sK611: partia1833973666xt_a_b > a ).
thf(func_def_699,type,
sK612: partia1833973666xt_a_b > a ).
thf(func_def_700,type,
sK613: partia1833973666xt_a_b > a ).
thf(func_def_701,type,
sK614: partia1833973666xt_a_b > a ).
thf(func_def_702,type,
sK615: partia1833973666xt_a_b > a ).
thf(func_def_703,type,
sK616: partia1833973666xt_a_b > a ).
thf(func_def_704,type,
sK617: partia1833973666xt_a_b > a ).
thf(func_def_705,type,
sK618: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_706,type,
sK619: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_707,type,
sK620: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_708,type,
sK621: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_709,type,
sK622: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_710,type,
sK623: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_711,type,
sK624: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_712,type,
sK625: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_713,type,
sK626: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_714,type,
sK627: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_715,type,
sK628: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_716,type,
sK629: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_717,type,
sK630: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_718,type,
sK631: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_719,type,
sK632: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_720,type,
sK633: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_721,type,
sK634: partia1833973666xt_a_b > a ).
thf(func_def_722,type,
sK635: partia1833973666xt_a_b > a ).
thf(func_def_723,type,
sK636: partia1833973666xt_a_b > a ).
thf(func_def_724,type,
sK637: partia1833973666xt_a_b > a ).
thf(func_def_725,type,
sK638: partia1833973666xt_a_b > a ).
thf(func_def_726,type,
sK639: partia1833973666xt_a_b > a ).
thf(func_def_727,type,
sK640: partia1833973666xt_a_b > a ).
thf(func_def_728,type,
sK641: partia1833973666xt_a_b > a ).
thf(func_def_729,type,
sK642: partia1833973666xt_a_b > a ).
thf(func_def_730,type,
sK643: partia1833973666xt_a_b > a ).
thf(func_def_731,type,
sK644: partia1833973666xt_a_b > a ).
thf(func_def_732,type,
sK645: partia1833973666xt_a_b > a ).
thf(func_def_733,type,
sK646: partia1833973666xt_a_b > a ).
thf(func_def_734,type,
sK647: partia1833973666xt_a_b > a ).
thf(func_def_735,type,
sK648: partia1833973666xt_a_b > a ).
thf(func_def_736,type,
sK649: partia1833973666xt_a_b > a ).
thf(func_def_737,type,
sK650: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_738,type,
sK651: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_739,type,
sK652: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_740,type,
sK653: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_741,type,
sK654: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_742,type,
sK655: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_743,type,
sK656: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_744,type,
sK657: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_745,type,
sK658: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_746,type,
sK659: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_747,type,
sK660: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_748,type,
sK661: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_749,type,
sK662: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_750,type,
sK663: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_751,type,
sK664: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_752,type,
sK665: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_753,type,
sK666: partia1833973666xt_a_b > a ).
thf(func_def_754,type,
sK667: partia1833973666xt_a_b > a ).
thf(func_def_755,type,
sK668: partia1833973666xt_a_b > a ).
thf(func_def_756,type,
sK669: partia1833973666xt_a_b > a ).
thf(func_def_757,type,
sK670: partia1833973666xt_a_b > a ).
thf(func_def_758,type,
sK671: partia1833973666xt_a_b > a ).
thf(func_def_759,type,
sK672: partia1833973666xt_a_b > a ).
thf(func_def_760,type,
sK673: partia1833973666xt_a_b > a ).
thf(func_def_761,type,
sK674: partia1833973666xt_a_b > a ).
thf(func_def_762,type,
sK675: partia1833973666xt_a_b > a ).
thf(func_def_763,type,
sK676: partia1833973666xt_a_b > a ).
thf(func_def_764,type,
sK677: partia1833973666xt_a_b > a ).
thf(func_def_765,type,
sK678: partia1833973666xt_a_b > a ).
thf(func_def_766,type,
sK679: partia1833973666xt_a_b > a ).
thf(func_def_767,type,
sK680: partia1833973666xt_a_b > a ).
thf(func_def_768,type,
sK681: partia1833973666xt_a_b > a ).
thf(func_def_769,type,
sK682: partia1833973666xt_a_b > a ).
thf(func_def_770,type,
sK683: partia1833973666xt_a_b > a ).
thf(func_def_771,type,
sK684: partia1833973666xt_a_b > a ).
thf(func_def_772,type,
sK685: partia1833973666xt_a_b > a ).
thf(func_def_773,type,
sK686: partia1833973666xt_a_b > a ).
thf(func_def_774,type,
sK687: partia1833973666xt_a_b > a ).
thf(func_def_775,type,
sK688: partia1833973666xt_a_b > a ).
thf(func_def_776,type,
sK689: partia1833973666xt_a_b > a ).
thf(func_def_777,type,
sK690: partia1833973666xt_a_b > a ).
thf(func_def_778,type,
sK691: partia1833973666xt_a_b > a ).
thf(func_def_779,type,
sK692: partia1833973666xt_a_b > a ).
thf(func_def_780,type,
sK693: partia1833973666xt_a_b > a ).
thf(func_def_781,type,
sK694: partia1833973666xt_a_b > a ).
thf(func_def_782,type,
sK695: partia1833973666xt_a_b > a ).
thf(func_def_783,type,
sK696: partia1833973666xt_a_b > a ).
thf(func_def_784,type,
sK697: partia1833973666xt_a_b > a ).
thf(func_def_785,type,
sK698: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_786,type,
sK699: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_787,type,
sK700: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_788,type,
sK701: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_789,type,
sK702: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_790,type,
sK703: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_791,type,
sK704: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_792,type,
sK705: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_793,type,
sK706: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_794,type,
sK707: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_795,type,
sK708: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_796,type,
sK709: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_797,type,
sK710: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_798,type,
sK711: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_799,type,
sK712: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_800,type,
sK713: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_801,type,
sK714: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_802,type,
sK715: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_803,type,
sK716: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_804,type,
sK717: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_805,type,
sK718: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_806,type,
sK719: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_807,type,
sK720: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_808,type,
sK721: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_809,type,
sK722: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_810,type,
sK723: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_811,type,
sK724: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_812,type,
sK725: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_813,type,
sK726: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_814,type,
sK727: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_815,type,
sK728: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_816,type,
sK729: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_817,type,
sK730: partia1833973666xt_a_b > a ).
thf(func_def_818,type,
sK731: partia1833973666xt_a_b > a ).
thf(func_def_819,type,
sK732: partia1833973666xt_a_b > a ).
thf(func_def_820,type,
sK733: partia1833973666xt_a_b > a ).
thf(func_def_821,type,
sK734: partia1833973666xt_a_b > a ).
thf(func_def_822,type,
sK735: partia1833973666xt_a_b > a ).
thf(func_def_823,type,
sK736: partia1833973666xt_a_b > a ).
thf(func_def_824,type,
sK737: partia1833973666xt_a_b > a ).
thf(func_def_825,type,
sK738: partia1833973666xt_a_b > a ).
thf(func_def_826,type,
sK739: partia1833973666xt_a_b > a ).
thf(func_def_827,type,
sK740: partia1833973666xt_a_b > a ).
thf(func_def_828,type,
sK741: partia1833973666xt_a_b > a ).
thf(func_def_829,type,
sK742: partia1833973666xt_a_b > a ).
thf(func_def_830,type,
sK743: partia1833973666xt_a_b > a ).
thf(func_def_831,type,
sK744: partia1833973666xt_a_b > a ).
thf(func_def_832,type,
sK745: partia1833973666xt_a_b > a ).
thf(func_def_833,type,
sK746: partia1833973666xt_a_b > a ).
thf(func_def_834,type,
sK747: partia1833973666xt_a_b > a ).
thf(func_def_835,type,
sK748: partia1833973666xt_a_b > a ).
thf(func_def_836,type,
sK749: partia1833973666xt_a_b > a ).
thf(func_def_837,type,
sK750: partia1833973666xt_a_b > a ).
thf(func_def_838,type,
sK751: partia1833973666xt_a_b > a ).
thf(func_def_839,type,
sK752: partia1833973666xt_a_b > a ).
thf(func_def_840,type,
sK753: partia1833973666xt_a_b > a ).
thf(func_def_841,type,
sK754: partia1833973666xt_a_b > a ).
thf(func_def_842,type,
sK755: partia1833973666xt_a_b > a ).
thf(func_def_843,type,
sK756: partia1833973666xt_a_b > a ).
thf(func_def_844,type,
sK757: partia1833973666xt_a_b > a ).
thf(func_def_845,type,
sK758: partia1833973666xt_a_b > a ).
thf(func_def_846,type,
sK759: partia1833973666xt_a_b > a ).
thf(func_def_847,type,
sK760: partia1833973666xt_a_b > a ).
thf(func_def_848,type,
sK761: partia1833973666xt_a_b > a ).
thf(func_def_849,type,
sK762: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_850,type,
sK763: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_851,type,
sK764: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_852,type,
sK765: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_853,type,
sK766: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_854,type,
sK767: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_855,type,
sK768: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_856,type,
sK769: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_857,type,
sK770: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_858,type,
sK771: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_859,type,
sK772: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_860,type,
sK773: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_861,type,
sK774: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_862,type,
sK775: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_863,type,
sK776: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_864,type,
sK777: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_865,type,
sK778: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_866,type,
sK779: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_867,type,
sK780: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_868,type,
sK781: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_869,type,
sK782: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_870,type,
sK783: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_871,type,
sK784: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_872,type,
sK785: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_873,type,
sK786: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_874,type,
sK787: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_875,type,
sK788: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_876,type,
sK789: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_877,type,
sK790: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_878,type,
sK791: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_879,type,
sK792: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_880,type,
sK793: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_881,type,
sK794: partia1833973666xt_a_b > a ).
thf(func_def_882,type,
sK795: partia1833973666xt_a_b > a ).
thf(func_def_883,type,
sK796: partia1833973666xt_a_b > a ).
thf(func_def_884,type,
sK797: partia1833973666xt_a_b > a ).
thf(func_def_885,type,
sK798: partia1833973666xt_a_b > a ).
thf(func_def_886,type,
sK799: partia1833973666xt_a_b > a ).
thf(func_def_887,type,
sK800: partia1833973666xt_a_b > a ).
thf(func_def_888,type,
sK801: partia1833973666xt_a_b > a ).
thf(func_def_889,type,
sK802: partia1833973666xt_a_b > a ).
thf(func_def_890,type,
sK803: partia1833973666xt_a_b > a ).
thf(func_def_891,type,
sK804: partia1833973666xt_a_b > a ).
thf(func_def_892,type,
sK805: partia1833973666xt_a_b > a ).
thf(func_def_893,type,
sK806: partia1833973666xt_a_b > a ).
thf(func_def_894,type,
sK807: partia1833973666xt_a_b > a ).
thf(func_def_895,type,
sK808: partia1833973666xt_a_b > a ).
thf(func_def_896,type,
sK809: partia1833973666xt_a_b > a ).
thf(func_def_897,type,
sK810: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_898,type,
sK811: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_899,type,
sK812: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_900,type,
sK813: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_901,type,
sK814: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_902,type,
sK815: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_903,type,
sK816: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_904,type,
sK817: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_905,type,
sK818: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_906,type,
sK819: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_907,type,
sK820: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_908,type,
sK821: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_909,type,
sK822: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_910,type,
sK823: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_911,type,
sK824: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_912,type,
sK825: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_913,type,
sK826: partia1833973666xt_a_b > a ).
thf(func_def_914,type,
sK827: partia1833973666xt_a_b > a ).
thf(func_def_915,type,
sK828: partia1833973666xt_a_b > a ).
thf(func_def_916,type,
sK829: partia1833973666xt_a_b > a ).
thf(func_def_917,type,
sK830: partia1833973666xt_a_b > a ).
thf(func_def_918,type,
sK831: partia1833973666xt_a_b > a ).
thf(func_def_919,type,
sK832: partia1833973666xt_a_b > a ).
thf(func_def_920,type,
sK833: partia1833973666xt_a_b > a ).
thf(func_def_921,type,
sK834: partia1833973666xt_a_b > a ).
thf(func_def_922,type,
sK835: partia1833973666xt_a_b > a ).
thf(func_def_923,type,
sK836: partia1833973666xt_a_b > a ).
thf(func_def_924,type,
sK837: partia1833973666xt_a_b > a ).
thf(func_def_925,type,
sK838: partia1833973666xt_a_b > a ).
thf(func_def_926,type,
sK839: partia1833973666xt_a_b > a ).
thf(func_def_927,type,
sK840: partia1833973666xt_a_b > a ).
thf(func_def_928,type,
sK841: partia1833973666xt_a_b > a ).
thf(func_def_929,type,
sK842: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_930,type,
sK843: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_931,type,
sK844: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_932,type,
sK845: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_933,type,
sK846: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_934,type,
sK847: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_935,type,
sK848: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_936,type,
sK849: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_937,type,
sK850: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_938,type,
sK851: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_939,type,
sK852: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_940,type,
sK853: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_941,type,
sK854: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_942,type,
sK855: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_943,type,
sK856: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_944,type,
sK857: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_945,type,
sK858: partia1833973666xt_a_b > a ).
thf(func_def_946,type,
sK859: partia1833973666xt_a_b > a ).
thf(func_def_947,type,
sK860: partia1833973666xt_a_b > a ).
thf(func_def_948,type,
sK861: partia1833973666xt_a_b > a ).
thf(func_def_949,type,
sK862: partia1833973666xt_a_b > a ).
thf(func_def_950,type,
sK863: partia1833973666xt_a_b > a ).
thf(func_def_951,type,
sK864: partia1833973666xt_a_b > a ).
thf(func_def_952,type,
sK865: partia1833973666xt_a_b > a ).
thf(func_def_953,type,
sK866: partia1833973666xt_a_b > a ).
thf(func_def_954,type,
sK867: partia1833973666xt_a_b > a ).
thf(func_def_955,type,
sK868: partia1833973666xt_a_b > a ).
thf(func_def_956,type,
sK869: partia1833973666xt_a_b > a ).
thf(func_def_957,type,
sK870: partia1833973666xt_a_b > a ).
thf(func_def_958,type,
sK871: partia1833973666xt_a_b > a ).
thf(func_def_959,type,
sK872: partia1833973666xt_a_b > a ).
thf(func_def_960,type,
sK873: partia1833973666xt_a_b > a ).
thf(func_def_961,type,
sK874: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_962,type,
sK875: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_963,type,
sK876: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_964,type,
sK877: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_965,type,
sK878: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_966,type,
sK879: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_967,type,
sK880: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_968,type,
sK881: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_969,type,
sK882: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_970,type,
sK883: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_971,type,
sK884: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_972,type,
sK885: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_973,type,
sK886: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_974,type,
sK887: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_975,type,
sK888: partia539144763t_unit > set_Product_prod_a_a ).
thf(func_def_976,type,
sK889: partia539144763t_unit > set_Product_prod_a_a ).
thf(f1,axiom,
( ( mult_a_ring_ext_a_b @ r @ r2 @ r3 )
= ( mult_a_ring_ext_a_b @ r @ r3 @ r2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_f3) ).
thf(f2,axiom,
( ( mult_a_ring_ext_a_b @ r @ s2 @ s3 )
= ( mult_a_ring_ext_a_b @ r @ s3 @ s2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_f4) ).
thf(f4,axiom,
( ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) )
= ( locali1170246543t_unit @ rel @ ( mult_a_ring_ext_a_b @ r @ r2 @ r3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_f1) ).
thf(f5,axiom,
( ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) )
= ( locali1170246543t_unit @ rel @ ( mult_a_ring_ext_a_b @ r @ r3 @ r2 ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ s2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_f2) ).
thf(f356,conjecture,
( ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) )
= ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f357,negated_conjecture,
( ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) )
!= ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) ) ),
inference(negated_conjecture,[status(cth)],[f356]) ).
thf(f1032,plain,
( ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) )
!= ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) ) ),
inference(flattening,[],[f357]) ).
thf(f1513,plain,
( ( mult_a_ring_ext_a_b @ r @ r2 @ r3 )
= ( mult_a_ring_ext_a_b @ r @ r3 @ r2 ) ),
inference(cnf_transformation,[],[f1]) ).
thf(f1514,plain,
( ( mult_a_ring_ext_a_b @ r @ s2 @ s3 )
= ( mult_a_ring_ext_a_b @ r @ s3 @ s2 ) ),
inference(cnf_transformation,[],[f2]) ).
thf(f1516,plain,
( ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) )
= ( locali1170246543t_unit @ rel @ ( mult_a_ring_ext_a_b @ r @ r2 @ r3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f1517,plain,
( ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) )
= ( locali1170246543t_unit @ rel @ ( mult_a_ring_ext_a_b @ r @ r3 @ r2 ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ s2 ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f1981,plain,
( ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) )
!= ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) ) ),
inference(cnf_transformation,[],[f1032]) ).
thf(f16062,plain,
( ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) )
= ( locali1170246543t_unit @ rel @ ( mult_a_ring_ext_a_b @ r @ r2 @ r3 ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ s2 ) ) ),
inference(forward_demodulation,[],[f1517,f1513]) ).
thf(f16063,plain,
( ( locali1170246543t_unit @ rel @ ( mult_a_ring_ext_a_b @ r @ r2 @ r3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) )
= ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) ) ),
inference(forward_demodulation,[],[f16062,f1514]) ).
thf(f16174,plain,
( ( mult_s977248631t_unit @ ( locali1944243560ac_a_b @ r @ s ) @ ( locali1170246543t_unit @ rel @ r2 @ s2 ) @ ( locali1170246543t_unit @ rel @ r3 @ s3 ) )
!= ( locali1170246543t_unit @ rel @ ( mult_a_ring_ext_a_b @ r @ r2 @ r3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ),
inference(constrained_superposition,[],[f1981,f16063]) ).
thf(f16175,plain,
$false,
inference(forward_subsumption_resolution,[],[f16174,f1516]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP107^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n001.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 20:00:21 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.54/0.90 % (1738834)Will run a generic schedule for satisfiability detection.
% 3.54/0.90 % (1738839)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=732013022_2999 on theBenchmark for (2999ds/0Mi)
% 3.54/0.90 % (1738840)% WARNING: option uhcvi not known.
% 3.54/0.90 % (1738840)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2457951829:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.54/0.90 % (1738841)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2406306238:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.54/0.90 % (1738842)dis+10_1_sil=32000:sp=arity:random_seed=2370650188:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.54/0.90 % (1738843)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1627767205:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.54/0.90 % (1738844)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1359230351:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.54/0.90 % (1738845)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1321773588:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.54/0.90 % (1738840)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.54/0.90 % (1738843)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.54/0.90 % Exception at run slice level
% 3.54/0.90 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.54/0.90 % (1738853)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3577983826:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.54/0.90 % (1738842)Instruction limit reached!
% 3.54/0.90 % (1738842)------------------------------
% 3.54/0.90 % (1738842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.90 % (1738842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.90 % (1738842)CaDiCaL version: 2.1.3
% 3.54/0.90 % (1738842)Termination reason: Instruction limit
% 3.54/0.90 % (1738842)Termination phase: Property scanning
% 3.54/0.90 % (1738842)Time elapsed: 0.043 s
% 3.54/0.90 % (1738842)Peak memory usage: 11 MB
% 3.54/0.90 % (1738842)Instructions burned: 105 (million)
% 3.54/0.90 % (1738843)Instruction limit reached!
% 3.54/0.90 % (1738843)------------------------------
% 3.54/0.90 % (1738843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.90 % (1738843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.90 % (1738843)CaDiCaL version: 2.1.3
% 3.54/0.90 % (1738843)Termination reason: Instruction limit
% 3.54/0.90 % (1738843)Termination phase: Property scanning
% 3.54/0.90 % (1738843)Time elapsed: 0.047 s
% 3.54/0.90 % (1738843)Peak memory usage: 11 MB
% 3.54/0.90 % (1738843)Instructions burned: 116 (million)
% 3.54/0.90 % (1738844)Instruction limit reached!
% 3.54/0.90 % (1738844)------------------------------
% 3.54/0.90 % (1738844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.90 % (1738844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.90 % (1738844)CaDiCaL version: 2.1.3
% 3.54/0.90 % (1738844)Termination reason: Instruction limit
% 3.54/0.90 % (1738844)Termination phase: Property scanning
% 3.54/0.90 % (1738844)Time elapsed: 0.053 s
% 3.54/0.90 % (1738844)Peak memory usage: 11 MB
% 3.54/0.90 % (1738844)Instructions burned: 131 (million)
% 3.54/0.90 % (1738840)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.54/0.90 % (1738845)Instruction limit reached!
% 3.54/0.90 % (1738845)------------------------------
% 3.54/0.90 % (1738845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.90 % (1738845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.90 % (1738845)CaDiCaL version: 2.1.3
% 3.54/0.90 % (1738845)Termination reason: Instruction limit
% 3.54/0.90 % (1738845)Termination phase: Saturation
% 3.54/0.90 % (1738845)Time elapsed: 0.065 s
% 3.54/0.90 % (1738845)Peak memory usage: 13 MB
% 3.54/0.90 % (1738845)Instructions burned: 159 (million)
% 3.54/0.90 % Exception at run slice level
% 3.54/0.90 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.54/0.90 % (1738857)ott-21_1_sil=16000:fs=off:random_seed=2149811097:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.54/0.90 % (1738855)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2270923729:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.54/0.90 % (1738860)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1295213227:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 3.54/0.90 % (1738858)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1936736744:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 3.54/0.90 % (1738856)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=817667153:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.54/0.90 % Exception at run slice level
% 3.54/0.90 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.54/0.90 % (1738856)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.54/0.90 % (1738865)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=948003243:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 3.54/0.90 % (1738855)Instruction limit reached!
% 3.54/0.90 % (1738855)------------------------------
% 3.54/0.90 % (1738855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.90 % (1738855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.90 % (1738855)CaDiCaL version: 2.1.3
% 3.54/0.90 % (1738855)Termination reason: Instruction limit
% 3.54/0.90 % (1738855)Termination phase: Property scanning
% 3.54/0.90 % (1738855)Time elapsed: 0.072 s
% 3.54/0.90 % (1738855)Peak memory usage: 11 MB
% 3.54/0.90 % (1738855)Instructions burned: 132 (million)
% 3.54/0.90 % (1738857)Instruction limit reached!
% 3.54/0.90 % (1738857)------------------------------
% 3.54/0.90 % (1738857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.90 % (1738857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.90 % (1738857)CaDiCaL version: 2.1.3
% 3.54/0.90 % (1738857)Termination reason: Instruction limit
% 3.54/0.90 % (1738857)Termination phase: Saturation
% 3.54/0.90 % (1738857)Time elapsed: 0.074 s
% 3.54/0.90 % (1738857)Peak memory usage: 13 MB
% 3.54/0.90 % (1738857)Instructions burned: 182 (million)
% 3.54/0.90 % (1738856)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.54/0.90 % (1738868)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=969335147:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 3.54/0.90 % (1738867)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=38909282:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 3.54/0.90 % (1738868)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.54/0.90 % Exception at run slice level
% 3.54/0.90 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.54/0.90 % (1738858)Instruction limit reached!
% 3.54/0.90 % (1738858)------------------------------
% 3.54/0.90 % (1738858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.90 % (1738858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.90 % (1738858)CaDiCaL version: 2.1.3
% 3.54/0.90 % (1738858)Termination reason: Instruction limit
% 3.54/0.90 % (1738858)Termination phase: Saturation
% 3.54/0.90 % (1738858)Time elapsed: 0.193 s
% 3.54/0.90 % (1738858)Peak memory usage: 16 MB
% 3.54/0.90 % (1738858)Instructions burned: 479 (million)
% 3.54/0.90 % (1738872)fmb+10_1_sil=64000:random_seed=2403305832:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 3.54/0.90 % (1738871)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1661425884:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 3.54/0.90 % (1738872)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.54/0.90 % (1738871)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.54/0.90 % Exception at run slice level
% 3.54/0.90 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.54/0.90 % (1738865)Instruction limit reached!
% 3.54/0.90 % (1738865)------------------------------
% 3.54/0.90 % (1738865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.90 % (1738865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.90 % (1738865)CaDiCaL version: 2.1.3
% 3.54/0.90 % (1738865)Termination reason: Instruction limit
% 3.54/0.90 % (1738865)Termination phase: Saturation
% 3.54/0.90 % (1738865)Time elapsed: 0.248 s
% 3.54/0.90 % (1738865)Peak memory usage: 20 MB
% 3.54/0.90 % (1738865)Instructions burned: 1183 (million)
% 3.54/0.90 % (1738875)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1219508585:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 3.54/0.90 % (1738856)Instruction limit reached!
% 3.54/0.90 % (1738856)------------------------------
% 3.54/0.90 % (1738856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.90 % (1738856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.90 % (1738856)CaDiCaL version: 2.1.3
% 3.54/0.90 % (1738856)Termination reason: Instruction limit
% 3.54/0.90 % (1738856)Termination phase: Saturation
% 3.54/0.90 % (1738856)Time elapsed: 0.293 s
% 3.54/0.90 % (1738856)Peak memory usage: 18 MB
% 3.54/0.90 % (1738856)Instructions burned: 685 (million)
% 3.54/0.90 % (1738876)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3655057358:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 3.54/0.90 % (1738878)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3846102605:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 3.54/0.90 % Exception at run slice level
% 3.54/0.90 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.54/0.90 % (1738878)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.54/0.90 % (1738881)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3929847072:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 3.54/0.90 % Exception at run slice level
% 3.54/0.90 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.54/0.90 % (1738881)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.54/0.90 % (1738868)Instruction limit reached!
% 3.54/0.90 % (1738868)------------------------------
% 3.54/0.90 % (1738868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.90 % (1738868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.90 % (1738868)CaDiCaL version: 2.1.3
% 3.54/0.90 % (1738868)Termination reason: Instruction limit
% 3.54/0.90 % (1738868)Termination phase: Saturation
% 3.54/0.90 % (1738868)Time elapsed: 0.288 s
% 3.54/0.90 % (1738868)Peak memory usage: 19 MB
% 3.54/0.90 % (1738868)Instructions burned: 694 (million)
% 3.54/0.90 % (1738881)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.54/0.90 % (1738883)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1150705284:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 3.54/0.90 % (1738884)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1395881057:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 3.54/0.90 % Exception at run slice level
% 3.54/0.90 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.54/0.90 % Exception at run slice level
% 3.54/0.90 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.54/0.90 % (1738887)ott-2_1_sil=16000:newcnf=on:random_seed=944718788:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 3.54/0.90 % (1738888)ott+10_1_sil=32000:tgt=ground:random_seed=118222909:i=5114:av=off_2994 on theBenchmark for (2994ds/5114Mi)
% 3.54/0.90 % (1738887)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.54/0.90 % (1738840) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1738834-1738840"...
% 3.54/0.90 % (1738840)...printing done.
% 3.54/0.90 % (1738840)Refutation found. Thanks to Tanya!
% 3.54/0.90 % SZS status Theorem for theBenchmark
% 3.54/0.90 % SZS output start Proof for theBenchmark
% See solution above
% 3.54/0.90 % (1738840)------------------------------
% 3.54/0.90 % (1738840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.90 % (1738840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.90 % (1738840)CaDiCaL version: 2.1.3
% 3.54/0.90 % (1738840)Termination reason: Refutation
% 3.54/0.90 % (1738840)Time elapsed: 0.606 s
% 3.54/0.90 % (1738840)Peak memory usage: 21 MB
% 3.54/0.90 % (1738840)Instructions burned: 1327 (million)
% 3.54/0.90 % (1738834)Success in time 0.674 s
% 3.54/0.90 % Vampire exiting
%------------------------------------------------------------------------------