%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP162^1 : 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 : n018.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 08:10:56 AM UTC 2026
% Result : Theorem 4.19s 0.93s
% Output : Refutation 4.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 21 unt; 0 typ; 1 def)
% Number of atoms : 144 ( 54 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 197 ( 8 ~; 13 |; 12 &; 164 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 452 ( 449 usr; 7 con; 0-11 aty)
% Number of variables : 44 ( 12 ^; 32 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
refine424419629nres_a: $tType ).
thf(type_def_6,type,
set_a: $tType ).
thf(type_def_7,type,
a: $tType ).
thf(type_def_8,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
if_a_o: $o > ( a > $o ) > ( a > $o ) > a > $o ).
thf(func_def_1,type,
if_Ref1724547303nres_a: $o > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_2,type,
if_set_a: $o > set_a > set_a > set_a ).
thf(func_def_3,type,
inf_inf_a_o: ( a > $o ) > ( a > $o ) > a > $o ).
thf(func_def_4,type,
inf_inf_o: $o > $o > $o ).
thf(func_def_5,type,
inf_in262696383nres_a: refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_6,type,
inf_inf_set_a: set_a > set_a > set_a ).
thf(func_def_7,type,
bot_bo529555393nres_a: refine424419629nres_a ).
thf(func_def_8,type,
bot_bot_set_a: set_a ).
thf(func_def_9,type,
ord_less_eq_a_o: ( a > $o ) > ( a > $o ) > $o ).
thf(func_def_10,type,
ord_less_eq_o: $o > $o > $o ).
thf(func_def_11,type,
ord_le519537037nres_a: refine424419629nres_a > refine424419629nres_a > $o ).
thf(func_def_12,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_13,type,
order_1714329108nres_a: ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_14,type,
top_to231829469nres_a: refine424419629nres_a ).
thf(func_def_15,type,
refine2063221604TURN_a: a > refine424419629nres_a ).
thf(func_def_16,type,
refine436832838nd_a_a: refine424419629nres_a > ( a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_17,type,
refine1001002027nres_a: refine424419629nres_a > a > $o ).
thf(func_def_18,type,
refine1312857699nres_a: refine424419629nres_a > a > $o ).
thf(func_def_19,type,
refine412683989fail_a: refine424419629nres_a > $o ).
thf(func_def_20,type,
refine464223677AILi_a: refine424419629nres_a ).
thf(func_def_21,type,
refine1198353288_RES_a: set_a > refine424419629nres_a ).
thf(func_def_22,type,
refine1822134885_RES_a: refine424419629nres_a > set_a ).
thf(func_def_23,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_24,type,
member_a: a > set_a > $o ).
thf(func_def_25,type,
a2: refine424419629nres_a ).
thf(func_def_26,type,
p: a > $o ).
thf(func_def_27,type,
q: a > $o ).
thf(func_def_29,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_32,type,
vIMP: $o > $o > $o ).
thf(func_def_33,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_34,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_35,type,
vNOT: $o > $o ).
thf(func_def_36,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_37,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_38,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_39,type,
vAND: $o > $o > $o ).
thf(func_def_40,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_41,type,
vOR: $o > $o > $o ).
thf(func_def_42,type,
sP0: refine424419629nres_a > refine424419629nres_a > refine424419629nres_a > $o ).
thf(func_def_43,type,
sP1: refine424419629nres_a > refine424419629nres_a > $o > $o ).
thf(func_def_44,type,
sK2: ( a > $o ) > set_a > a ).
thf(func_def_45,type,
sK3: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_46,type,
sK4: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_47,type,
sK5: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_48,type,
sK6: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_49,type,
sK7: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_50,type,
sK8: ( ( a > $o ) > refine424419629nres_a ) > a > $o ).
thf(func_def_51,type,
sK9: ( ( a > $o ) > refine424419629nres_a ) > a > $o ).
thf(func_def_52,type,
sK10: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_53,type,
sK11: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_54,type,
sK12: ( set_a > set_a ) > set_a ).
thf(func_def_55,type,
sK13: ( set_a > set_a ) > set_a ).
thf(func_def_56,type,
sK14: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_57,type,
sK15: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_58,type,
sK16: ( refine424419629nres_a > a > $o ) > refine424419629nres_a ).
thf(func_def_59,type,
sK17: ( refine424419629nres_a > a > $o ) > refine424419629nres_a ).
thf(func_def_60,type,
sK18: ( set_a > a > $o ) > set_a ).
thf(func_def_61,type,
sK19: ( set_a > a > $o ) > set_a ).
thf(func_def_62,type,
sK20: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_63,type,
sK21: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_64,type,
sK22: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_65,type,
sK23: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_66,type,
sK24: set_a > set_a > set_a > set_a ).
thf(func_def_67,type,
sK25: ( a > $o ) > ( a > $o ) > ( a > $o ) > a > $o ).
thf(func_def_68,type,
sK26: refine424419629nres_a > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_69,type,
sK27: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_70,type,
sK28: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_71,type,
sK29: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_72,type,
sK30: ( refine424419629nres_a > a > $o ) > refine424419629nres_a ).
thf(func_def_73,type,
sK31: ( refine424419629nres_a > a > $o ) > refine424419629nres_a ).
thf(func_def_74,type,
sK32: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_75,type,
sK33: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_76,type,
sK34: ( set_a > set_a ) > set_a ).
thf(func_def_77,type,
sK35: ( set_a > set_a ) > set_a ).
thf(func_def_78,type,
sK36: ( set_a > a > $o ) > set_a ).
thf(func_def_79,type,
sK37: ( set_a > a > $o ) > set_a ).
thf(func_def_80,type,
sK38: ( ( a > $o ) > refine424419629nres_a ) > a > $o ).
thf(func_def_81,type,
sK39: ( ( a > $o ) > refine424419629nres_a ) > a > $o ).
thf(func_def_82,type,
sK40: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_83,type,
sK41: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_84,type,
sK42: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_85,type,
sK43: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_86,type,
sK44: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_87,type,
sK45: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_88,type,
sK46: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_89,type,
sK47: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_90,type,
sK48: ( refine424419629nres_a > a > $o ) > refine424419629nres_a ).
thf(func_def_91,type,
sK49: ( refine424419629nres_a > a > $o ) > refine424419629nres_a ).
thf(func_def_92,type,
sK50: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_93,type,
sK51: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_94,type,
sK52: ( set_a > set_a ) > set_a ).
thf(func_def_95,type,
sK53: ( set_a > set_a ) > set_a ).
thf(func_def_96,type,
sK54: ( set_a > a > $o ) > set_a ).
thf(func_def_97,type,
sK55: ( set_a > a > $o ) > set_a ).
thf(func_def_98,type,
sK56: ( ( a > $o ) > refine424419629nres_a ) > a > $o ).
thf(func_def_99,type,
sK57: ( ( a > $o ) > refine424419629nres_a ) > a > $o ).
thf(func_def_100,type,
sK58: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_101,type,
sK59: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_102,type,
sK60: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_103,type,
sK61: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_104,type,
sK62: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_105,type,
sK63: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_106,type,
sK64: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_107,type,
sK65: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_108,type,
sK66: ( refine424419629nres_a > a > $o ) > refine424419629nres_a ).
thf(func_def_109,type,
sK67: ( refine424419629nres_a > a > $o ) > refine424419629nres_a ).
thf(func_def_110,type,
sK68: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_111,type,
sK69: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_112,type,
sK70: ( set_a > set_a ) > set_a ).
thf(func_def_113,type,
sK71: ( set_a > set_a ) > set_a ).
thf(func_def_114,type,
sK72: ( set_a > a > $o ) > set_a ).
thf(func_def_115,type,
sK73: ( set_a > a > $o ) > set_a ).
thf(func_def_116,type,
sK74: ( ( a > $o ) > refine424419629nres_a ) > a > $o ).
thf(func_def_117,type,
sK75: ( ( a > $o ) > refine424419629nres_a ) > a > $o ).
thf(func_def_118,type,
sK76: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_119,type,
sK77: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_120,type,
sK78: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_121,type,
sK79: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_122,type,
sK80: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_123,type,
sK81: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_124,type,
sK82: ( set_a > set_a > set_a ) > set_a ).
thf(func_def_125,type,
sK83: ( set_a > set_a > set_a ) > set_a ).
thf(func_def_126,type,
sK84: ( set_a > set_a > set_a ) > set_a ).
thf(func_def_127,type,
sK85: ( set_a > set_a > set_a ) > set_a ).
thf(func_def_128,type,
sK86: ( set_a > set_a > set_a ) > set_a ).
thf(func_def_129,type,
sK87: ( set_a > set_a > set_a ) > set_a ).
thf(func_def_130,type,
sK88: ( set_a > set_a > set_a ) > set_a ).
thf(func_def_131,type,
sK89: ( ( a > $o ) > ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_132,type,
sK90: ( ( a > $o ) > ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_133,type,
sK91: ( ( a > $o ) > ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_134,type,
sK92: ( ( a > $o ) > ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_135,type,
sK93: ( ( a > $o ) > ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_136,type,
sK94: ( ( a > $o ) > ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_137,type,
sK95: ( ( a > $o ) > ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_138,type,
sK96: ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_139,type,
sK97: ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_140,type,
sK98: ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_141,type,
sK99: ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_142,type,
sK100: ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_143,type,
sK101: ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_144,type,
sK102: ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_145,type,
sK103: set_a > set_a > a ).
thf(func_def_146,type,
sK104: ( a > $o ) > ( a > $o ) > set_a > a ).
thf(func_def_147,type,
sK105: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_148,type,
sK106: ( a > $o ) > ( a > $o ) > set_a > a ).
thf(func_def_149,type,
sK107: refine424419629nres_a > refine424419629nres_a > set_a ).
thf(func_def_150,type,
sK108: refine424419629nres_a > refine424419629nres_a > refine424419629nres_a > set_a ).
thf(func_def_151,type,
sK109: refine424419629nres_a > refine424419629nres_a > refine424419629nres_a > set_a ).
thf(func_def_152,type,
sK110: ( refine424419629nres_a > $o ) > ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_153,type,
sK111: refine424419629nres_a > ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_154,type,
sK112: ( refine424419629nres_a > $o ) > set_a ).
thf(func_def_155,type,
sK113: refine424419629nres_a > set_a ).
thf(func_def_156,type,
sK114: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_157,type,
sK115: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_158,type,
sK116: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_159,type,
sK117: ( refine424419629nres_a > refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_160,type,
sK118: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_161,type,
sK119: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_162,type,
sK120: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_163,type,
sK121: ( refine424419629nres_a > refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_164,type,
sK122: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_165,type,
sK123: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_166,type,
sK124: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_167,type,
sK125: ( refine424419629nres_a > refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_168,type,
sK126: refine424419629nres_a > refine424419629nres_a > $o > set_a ).
thf(func_def_169,type,
sK127: refine424419629nres_a > refine424419629nres_a > $o > set_a ).
thf(func_def_170,type,
sK128: refine424419629nres_a > set_a ).
thf(func_def_171,type,
sK129: refine424419629nres_a > refine424419629nres_a > set_a ).
thf(func_def_172,type,
sK130: refine424419629nres_a > refine424419629nres_a > set_a ).
thf(func_def_173,type,
sK131: refine424419629nres_a > set_a ).
thf(func_def_174,type,
sK132: refine424419629nres_a > refine424419629nres_a > set_a ).
thf(func_def_175,type,
sK133: refine424419629nres_a > refine424419629nres_a > set_a ).
thf(func_def_176,type,
sK134: refine424419629nres_a > ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_177,type,
sK135: refine424419629nres_a > set_a > a ).
thf(func_def_178,type,
sK136: refine424419629nres_a > ( a > $o ) > a ).
thf(func_def_179,type,
sK137: ( a > refine424419629nres_a ) > ( a > refine424419629nres_a ) > refine424419629nres_a > a ).
thf(func_def_180,type,
sK138: refine424419629nres_a > ( a > refine424419629nres_a ) > ( a > $o ) > a ).
thf(func_def_181,type,
sK139: refine424419629nres_a > ( a > refine424419629nres_a ) > refine424419629nres_a > a ).
thf(func_def_182,type,
sP140: $o > $o ).
thf(func_def_183,type,
sK141: ( a > $o ) > set_a > a ).
thf(func_def_184,type,
sK142: set_a > ( a > $o ) > a ).
thf(func_def_185,type,
sK143: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_186,type,
sF144: $o > $o ).
thf(func_def_187,type,
sF145:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X2 ) > ( X1 > X0 ) > X1 > X2 ) ).
thf(func_def_188,type,
sF146: refine424419629nres_a > $o > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_189,type,
sF147:
!>[X0: $tType] : ( X0 > ( X0 > set_a ) > set_a ) ).
thf(func_def_190,type,
sF148:
!>[X0: $tType] : ( X0 > X0 > $o > ( $o > X0 > X0 > X0 ) > X0 ) ).
thf(func_def_191,type,
sF149: set_a > refine424419629nres_a ).
thf(func_def_192,type,
sF150:
!>[X0: $tType,X1: $tType] : ( X0 > X0 > ( X0 > X0 > X1 ) > X1 ) ).
thf(func_def_193,type,
sF151:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > ( X1 > X0 > $o ) > a > $o ) ).
thf(func_def_194,type,
sF152:
!>[X0: $tType] : ( refine424419629nres_a > ( refine424419629nres_a > X0 ) > X0 ) ).
thf(func_def_195,type,
sF153:
!>[X0: $tType] : ( X0 > ( X0 > refine424419629nres_a ) > refine424419629nres_a ) ).
thf(func_def_196,type,
sF154: refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_197,type,
sF155:
!>[X0: $tType,X1: $tType] : ( X0 > refine424419629nres_a > ( refine424419629nres_a > X0 > X1 ) > X1 ) ).
thf(func_def_198,type,
sF156:
!>[X0: $tType] : ( refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > X0 ) > X0 ) ).
thf(func_def_199,type,
sF157: ( refine424419629nres_a > $o ) > refine424419629nres_a > $o ).
thf(func_def_200,type,
sF158:
!>[X0: $tType,X1: $tType] : ( ( ( a > X0 ) > X1 ) > ( a > X0 ) > X1 ) ).
thf(func_def_201,type,
sF159: refine424419629nres_a > ( a > refine424419629nres_a ) > a > $o ).
thf(func_def_202,type,
sF160:
!>[X0: $tType] : ( X0 > ( X0 > refine424419629nres_a ) > refine424419629nres_a > $o ) ).
thf(func_def_203,type,
sF161: ( a > refine424419629nres_a ) > ( a > refine424419629nres_a ) > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_204,type,
sF162: ( a > $o ) > set_a ).
thf(func_def_205,type,
sF163:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > $o ) ).
thf(func_def_206,type,
sF164:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X0 > X1 > X2 ) ).
thf(func_def_207,type,
sF165:
!>[X0: $tType] : ( ( a > $o ) > ( ( a > $o ) > X0 ) > X0 ) ).
thf(func_def_208,type,
sF166: ( a > $o ) > ( a > refine424419629nres_a ) > a > $o ).
thf(func_def_209,type,
sF167: refine424419629nres_a > refine424419629nres_a > $o ).
thf(func_def_210,type,
sF168: refine424419629nres_a > $o ).
thf(func_def_211,type,
sF169:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > ( X1 > X0 > $o ) > $o ) ).
thf(func_def_212,type,
sF170:
!>[X0: $tType] : ( a > ( a > X0 ) > X0 ) ).
thf(func_def_213,type,
sF171:
!>[X0: $tType,X1: $tType] : ( refine424419629nres_a > X1 > ( X1 > refine424419629nres_a > X0 ) > X0 ) ).
thf(func_def_214,type,
sF172:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( X1 > X3 > X2 ) > ( X2 > X0 ) > X1 > X3 > X0 ) ).
thf(func_def_215,type,
sF173: ( a > refine424419629nres_a ) > ( a > refine424419629nres_a ) > ( a > refine424419629nres_a ) > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_216,type,
sF174: ( a > refine424419629nres_a ) > refine424419629nres_a > ( a > refine424419629nres_a ) > a ).
thf(func_def_217,type,
sF175:
!>[X0: $tType] : ( set_a > ( set_a > X0 ) > X0 ) ).
thf(func_def_218,type,
sF176: a > refine424419629nres_a ).
thf(func_def_219,type,
sF177:
!>[X0: $tType,X1: $tType] : ( ( a > $o ) > ( ( a > $o ) > X0 ) > ( X0 > X1 ) > X1 ) ).
thf(func_def_220,type,
sF178:
!>[X0: $tType] : ( refine424419629nres_a > ( a > $o ) > ( ( a > $o ) > X0 ) > ( X0 > refine424419629nres_a ) > $o ) ).
thf(func_def_221,type,
sF179:
!>[X0: $tType] : ( ( a > $o ) > ( ( a > $o ) > X0 ) > ( X0 > refine424419629nres_a ) > refine424419629nres_a ) ).
thf(func_def_222,type,
sF180:
!>[X0: $tType] : ( ( X0 > refine424419629nres_a ) > refine424419629nres_a > X0 > $o ) ).
thf(func_def_223,type,
sF181:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 > $o ) > ( set_a > X1 ) > set_a > X0 > $o ) ).
thf(func_def_224,type,
sF182:
!>[X0: $tType] : ( ( X0 > refine424419629nres_a ) > ( refine424419629nres_a > $o ) > X0 > $o ) ).
thf(func_def_225,type,
sF183: refine424419629nres_a > $o ).
thf(func_def_226,type,
sF184:
!>[X0: $tType,X1: $tType] : ( ( a > X0 ) > ( X1 > X0 ) > X1 > ( X0 > X0 > $o ) > a > $o ) ).
thf(func_def_227,type,
sF185: ( a > $o ) > refine424419629nres_a ).
thf(func_def_228,type,
sF186: a > a > $o ).
thf(func_def_229,type,
sF187: ( ( refine424419629nres_a > $o ) > refine424419629nres_a ) > ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_230,type,
sF188: refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > set_a ) > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_231,type,
sF189:
!>[X0: $tType] : ( X0 > X0 > ( X0 > X0 > $o ) > $o ) ).
thf(func_def_232,type,
sF190: refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > set_a ) > refine424419629nres_a > set_a ).
thf(func_def_233,type,
sF191: ( refine424419629nres_a > set_a ) > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_234,type,
sF192: ( refine424419629nres_a > set_a ) > refine424419629nres_a > set_a ).
thf(func_def_235,type,
sF193:
!>[X0: $tType] : ( ( refine424419629nres_a > set_a ) > ( set_a > X0 ) > refine424419629nres_a > X0 ) ).
thf(func_def_236,type,
sF194:
!>[X0: $tType] : ( X0 > refine424419629nres_a > ( refine424419629nres_a > X0 > $o ) > $o ) ).
thf(func_def_237,type,
sF195:
!>[X0: $tType,X1: $tType] : ( refine424419629nres_a > ( refine424419629nres_a > X0 ) > ( X0 > X1 ) > X1 ) ).
thf(func_def_238,type,
sF196: refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o > set_a ) > refine424419629nres_a > $o > refine424419629nres_a ).
thf(func_def_239,type,
sF197:
!>[X0: $tType] : ( $o > refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o > X0 ) > X0 ) ).
thf(func_def_240,type,
sF198: refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o > set_a ) > refine424419629nres_a > $o > set_a ).
thf(func_def_241,type,
sF199:
!>[X0: $tType] : ( X0 > refine424419629nres_a > ( refine424419629nres_a > X0 > X0 ) > X0 ) ).
thf(func_def_242,type,
sF200: refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > refine424419629nres_a > $o ).
thf(func_def_243,type,
sF201: ( ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ) > ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_244,type,
sF202: ( ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ) > ( refine424419629nres_a > refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_245,type,
sF203:
!>[X0: $tType] : ( ( refine424419629nres_a > X0 ) > ( ( refine424419629nres_a > X0 ) > set_a ) > set_a ) ).
thf(func_def_246,type,
sF204:
!>[X0: $tType] : ( ( refine424419629nres_a > $o ) > X0 > ( X0 > ( refine424419629nres_a > $o ) > refine424419629nres_a ) > $o ) ).
thf(func_def_247,type,
sF205:
!>[X0: $tType] : ( X0 > ( X0 > ( refine424419629nres_a > $o ) > refine424419629nres_a ) > ( refine424419629nres_a > $o ) > refine424419629nres_a ) ).
thf(func_def_248,type,
sF206: ( refine424419629nres_a > $o ) > ( refine424419629nres_a > $o ) > ( ( refine424419629nres_a > $o ) > refine424419629nres_a ) > $o ).
thf(func_def_249,type,
sF207:
!>[X0: $tType] : ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a > X0 ) > X0 ) ).
thf(func_def_250,type,
sF208:
!>[X0: $tType] : ( X0 > X0 > ( X0 > X0 > set_a ) > set_a ) ).
thf(func_def_251,type,
sF209:
!>[X0: $tType,X1: $tType] : ( ( X1 > X1 > set_a ) > X1 > X1 > ( set_a > X0 ) > X0 ) ).
thf(func_def_252,type,
sF210: refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_253,type,
sF211:
!>[X0: $tType] : ( ( a > $o ) > X0 > a > ( a > X0 > $o ) > a > $o ) ).
thf(func_def_254,type,
sF212:
!>[X0: $tType] : ( X0 > ( X0 > set_a > $o ) > set_a > $o ) ).
thf(func_def_255,type,
sF213:
!>[X0: $tType,X1: $tType] : ( set_a > X1 > ( X1 > set_a > X0 ) > X0 ) ).
thf(func_def_256,type,
sF214: ( a > $o ) > set_a ).
thf(func_def_257,type,
sF215:
!>[X0: $tType,X1: $tType] : ( X1 > ( X1 > X0 ) > ( X0 > $o ) > $o ) ).
thf(func_def_258,type,
sF216: set_a > ( a > $o ) > set_a ).
thf(func_def_259,type,
sF217: set_a > ( a > $o ) > a > $o ).
thf(func_def_260,type,
sF218:
!>[X0: $tType,X1: $tType] : ( X0 > set_a > ( X0 > X1 ) > ( X1 > set_a > $o ) > $o ) ).
thf(func_def_261,type,
sF219: set_a > set_a > $o ).
thf(func_def_262,type,
sF220: ( a > $o ) > set_a > a > $o ).
thf(func_def_263,type,
sF221: a > set_a > $o ).
thf(func_def_264,type,
sF222:
!>[X0: $tType] : ( ( a > $o ) > ( ( a > $o ) > X0 ) > ( X0 > $o ) > $o ) ).
thf(func_def_265,type,
sF223: ( a > $o ) > a > $o ).
thf(func_def_266,type,
sF224:
!>[X0: $tType,X1: $tType] : ( X0 > X0 > ( X0 > X0 > X1 ) > ( X1 > $o ) > $o ) ).
thf(func_def_267,type,
sF225:
!>[X0: $tType] : ( ( a > $o ) > ( ( a > $o ) > X0 ) > set_a > set_a > X0 ) ).
thf(func_def_268,type,
sF226:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > set_a ) > ( X2 > set_a > X1 ) > X0 > X2 > X1 ) ).
thf(func_def_269,type,
sF227:
!>[X0: $tType,X1: $tType] : ( X1 > X1 > ( X1 > X1 > $o ) > X0 > X0 > $o ) ).
thf(func_def_270,type,
sF228:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 > X0 > $o ) ).
thf(func_def_271,type,
sF229:
!>[X0: $tType] : ( ( a > $o ) > ( a > $o ) > ( ( a > $o ) > ( a > $o ) > X0 ) > X0 ) ).
thf(func_def_272,type,
sF230:
!>[X0: $tType] : ( set_a > set_a > ( set_a > set_a > X0 ) > X0 ) ).
thf(func_def_273,type,
sF231: ( a > $o ) > ( a > $o ) > $o ).
thf(func_def_274,type,
sF232:
!>[X0: $tType] : ( X0 > X0 > ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_275,type,
sF233: ( ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ) > ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_276,type,
sF234:
!>[X0: $tType,X1: $tType] : ( ( X1 > refine424419629nres_a ) > X1 > ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ) > ( refine424419629nres_a > refine424419629nres_a > X0 ) > X0 ) ).
thf(func_def_277,type,
sF235:
!>[X0: $tType] : ( ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ) > ( ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ) > X0 > ( X0 > refine424419629nres_a ) > $o ) ).
thf(func_def_278,type,
sF236: ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_279,type,
sF237:
!>[X0: $tType,X1: $tType] : ( ( ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ) > X0 > ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ) > ( X0 > refine424419629nres_a ) > ( refine424419629nres_a > refine424419629nres_a > X1 ) > X1 ) ).
thf(func_def_280,type,
sF238:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X2 ) > ( ( X0 > X2 ) > X1 ) > X1 ) ).
thf(func_def_281,type,
sF239:
!>[X0: $tType,X1: $tType] : ( ( ( X0 > X1 ) > a > $o ) > ( X0 > X1 ) > a > $o ) ).
thf(func_def_282,type,
sF240: ( ( a > $o ) > ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_283,type,
sF241:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X2 ) > ( ( X0 > X2 ) > a > $o ) > ( ( a > $o ) > ( a > $o ) > a > $o ) > ( ( ( a > $o ) > ( a > $o ) > a > $o ) > a > $o ) > ( ( a > $o ) > ( a > $o ) > X1 ) > X1 ) ).
thf(func_def_284,type,
sF242: ( ( ( a > $o ) > ( a > $o ) > a > $o ) > a > $o ) > ( ( a > $o ) > ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_285,type,
sF243:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X2 ) > ( ( X0 > X2 ) > a > $o ) > ( ( a > $o ) > ( a > $o ) > a > $o ) > ( ( a > $o ) > ( a > $o ) > X1 ) > X1 ) ).
thf(func_def_286,type,
sF244: ( a > $o ) > ( ( a > $o ) > ( a > $o ) > a > $o ) > ( a > $o ) > a > $o ).
thf(func_def_287,type,
sF245: set_a > ( set_a > set_a > set_a ) > set_a > set_a ).
thf(func_def_288,type,
sF246:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > ( ( X0 > X0 > X0 ) > X0 ) > X0 ) ).
thf(func_def_289,type,
sF247:
!>[X0: $tType] : ( ( set_a > set_a > set_a ) > ( ( set_a > set_a > set_a ) > set_a ) > X0 > ( X0 > set_a ) > $o ) ).
thf(func_def_290,type,
sF248: ( ( set_a > set_a > set_a ) > set_a ) > ( set_a > set_a > set_a ) > set_a ).
thf(func_def_291,type,
sF249: ( set_a > set_a > set_a ) > set_a ).
thf(func_def_292,type,
sF250:
!>[X0: $tType,X1: $tType] : ( ( ( set_a > set_a > set_a ) > set_a ) > X0 > ( set_a > set_a > set_a ) > ( X0 > set_a ) > ( set_a > set_a > X1 ) > X1 ) ).
thf(func_def_293,type,
sF251:
!>[X0: $tType,X1: $tType] : ( ( X1 > set_a ) > X1 > ( set_a > set_a > set_a ) > ( set_a > set_a > X0 ) > X0 ) ).
thf(func_def_294,type,
sF252: ( a > $o ) > ( a > $o ) > a > $o ).
thf(func_def_295,type,
sF253: set_a > set_a > set_a ).
thf(func_def_296,type,
sF254:
!>[X0: $tType,X1: $tType] : ( X0 > ( X0 > X0 > X1 ) > X0 > X0 > X1 ) ).
thf(func_def_297,type,
sF255:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 > X0 > X0 ) ).
thf(func_def_298,type,
sF256:
!>[X0: $tType] : ( X0 > ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_299,type,
sF257: ( ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ) > ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_300,type,
sF258:
!>[X0: $tType,X1: $tType] : ( X1 > ( X1 > refine424419629nres_a ) > ( refine424419629nres_a > X0 ) > X0 ) ).
thf(func_def_301,type,
sF259:
!>[X0: $tType,X1: $tType] : ( ( ( X0 > X1 ) > X1 ) > ( X0 > X1 ) > X1 ) ).
thf(func_def_302,type,
sF260:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( ( X1 > X0 ) > a > $o ) > ( ( a > $o ) > X0 ) > X0 ) ).
thf(func_def_303,type,
sF261:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X2 ) > ( ( X0 > X2 ) > X1 ) > X1 > ( X1 > X1 > $o ) > $o ) ).
thf(func_def_304,type,
sF262: set_a > ( ( a > $o ) > set_a ) > ( a > $o ) > $o ).
thf(func_def_305,type,
sF263: ( ( a > $o ) > set_a ) > ( a > $o ) > set_a ).
thf(func_def_306,type,
sF264: refine424419629nres_a > ( ( a > $o ) > refine424419629nres_a ) > ( a > $o ) > $o ).
thf(func_def_307,type,
sF265: ( ( a > $o ) > refine424419629nres_a ) > ( a > $o ) > refine424419629nres_a ).
thf(func_def_308,type,
sF266:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > ( X0 > X1 ) > ( X1 > X1 > $o ) > $o ) ).
thf(func_def_309,type,
sF267: ( ( set_a > a > $o ) > set_a ) > ( set_a > a > $o ) > set_a ).
thf(func_def_310,type,
sF268: ( set_a > a > $o ) > set_a > a > $o ).
thf(func_def_311,type,
sF269: ( a > $o ) > ( set_a > a > $o ) > set_a > $o ).
thf(func_def_312,type,
sF270: ( ( set_a > set_a ) > set_a ) > ( set_a > set_a ) > set_a ).
thf(func_def_313,type,
sF271:
!>[X0: $tType] : ( X0 > ( X0 > set_a ) > set_a > $o ) ).
thf(func_def_314,type,
sF272:
!>[X0: $tType,X1: $tType] : ( X1 > ( X1 > set_a ) > ( set_a > X0 ) > X0 ) ).
thf(func_def_315,type,
sF273: ( ( set_a > refine424419629nres_a ) > set_a ) > ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_316,type,
sF274: ( set_a > refine424419629nres_a ) > set_a > refine424419629nres_a ).
thf(func_def_317,type,
sF275: refine424419629nres_a > ( set_a > refine424419629nres_a ) > set_a > $o ).
thf(func_def_318,type,
sF276: ( ( refine424419629nres_a > a > $o ) > refine424419629nres_a ) > ( refine424419629nres_a > a > $o ) > refine424419629nres_a ).
thf(func_def_319,type,
sF277: ( refine424419629nres_a > a > $o ) > refine424419629nres_a > a > $o ).
thf(func_def_320,type,
sF278: ( a > $o ) > ( refine424419629nres_a > a > $o ) > refine424419629nres_a > $o ).
thf(func_def_321,type,
sF279: ( ( refine424419629nres_a > set_a ) > refine424419629nres_a ) > ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_322,type,
sF280: set_a > ( refine424419629nres_a > set_a ) > refine424419629nres_a > $o ).
thf(func_def_323,type,
sF281: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_324,type,
sF282: ( ( a > $o ) > a > $o ) > ( a > $o ) > a > $o ).
thf(func_def_325,type,
sF283: ( ( ( a > $o ) > a > $o ) > a > $o ) > ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_326,type,
sF284:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X1 > $o ) > ( ( X0 > X2 ) > X1 ) > ( ( X0 > X2 ) > X1 ) > ( X0 > X2 ) > ( X0 > X2 ) > $o ) ).
thf(func_def_327,type,
sF285: ( ( ( a > $o ) > set_a ) > a > $o ) > ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_328,type,
sF286:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( ( X0 > X2 ) > X1 ) > ( X0 > X2 ) > X2 ) ).
thf(func_def_329,type,
sF287: ( ( ( a > $o ) > refine424419629nres_a ) > a > $o ) > ( ( a > $o ) > refine424419629nres_a ) > a > $o ).
thf(func_def_330,type,
sF288:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 > X1 > ( X0 > X0 > $o ) > $o ) ).
thf(func_def_331,type,
sF289: ( set_a > set_a ) > set_a > set_a ).
thf(func_def_332,type,
sF290:
!>[X0: $tType] : ( ( set_a > X0 ) > ( ( set_a > X0 ) > set_a ) > set_a ) ).
thf(func_def_333,type,
sF291: set_a > ( set_a > refine424419629nres_a ) > set_a > $o ).
thf(func_def_334,type,
sF292: ( set_a > refine424419629nres_a ) > ( ( set_a > refine424419629nres_a ) > set_a ) > refine424419629nres_a ).
thf(func_def_335,type,
sF293:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X0 > X1 ) ).
thf(func_def_336,type,
sF294:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 > X0 > $o ) ).
thf(func_def_337,type,
sF295:
!>[X0: $tType] : ( X0 > ( X0 > X0 > $o ) > $o ) ).
thf(func_def_338,type,
sF296: ( a > $o ) > ( a > $o ) > ( a > $o ) > $o ).
thf(func_def_339,type,
sF297: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_340,type,
sF298:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 > X0 > $o ) ).
thf(func_def_341,type,
sF299: ( a > $o ) > $o > ( a > $o ) > a > $o ).
thf(func_def_342,type,
sF300:
!>[X0: $tType] : ( X0 > ( X0 > X0 ) > X0 ) ).
thf(func_def_343,type,
sF301:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( a > $o ) > ( ( X1 > X0 ) > a > $o ) > $o ) ).
thf(func_def_344,type,
sF302: set_a > ( a > $o ) > ( set_a > a > $o ) > $o ).
thf(func_def_345,type,
sF303: ( set_a > a > $o ) > ( ( set_a > a > $o ) > set_a ) > a > $o ).
thf(func_def_346,type,
sF304:
!>[X0: $tType] : ( X0 > ( X0 > a > $o ) > a > $o ) ).
thf(func_def_347,type,
sF305:
!>[X0: $tType,X1: $tType] : ( X0 > ( X1 > X0 ) > X1 > ( X0 > X0 > $o ) > $o ) ).
thf(func_def_348,type,
sF306: refine424419629nres_a > ( a > $o ) > ( refine424419629nres_a > a > $o ) > $o ).
thf(func_def_349,type,
sF307: ( refine424419629nres_a > a > $o ) > ( ( refine424419629nres_a > a > $o ) > refine424419629nres_a ) > a > $o ).
thf(func_def_350,type,
sF308:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( ( X2 > X0 ) > X1 ) > X1 > ( X2 > X0 ) > ( X1 > X1 > $o ) > $o ) ).
thf(func_def_351,type,
sF309: ( a > $o ) > set_a > ( ( a > $o ) > set_a ) > $o ).
thf(func_def_352,type,
sF310:
!>[X0: $tType] : ( ( X0 > set_a ) > set_a > X0 > $o ) ).
thf(func_def_353,type,
sF311: refine424419629nres_a > set_a > ( refine424419629nres_a > set_a ) > $o ).
thf(func_def_354,type,
sF312: ( refine424419629nres_a > set_a ) > ( ( refine424419629nres_a > set_a ) > refine424419629nres_a ) > set_a ).
thf(func_def_355,type,
sF313: ( a > $o ) > refine424419629nres_a > ( ( a > $o ) > refine424419629nres_a ) > $o ).
thf(func_def_356,type,
sF314: set_a > refine424419629nres_a > ( set_a > refine424419629nres_a ) > $o ).
thf(func_def_357,type,
sF315: set_a > $o > set_a > set_a ).
thf(func_def_358,type,
sF316: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_359,type,
sF317:
!>[X0: $tType] : ( set_a > ( refine424419629nres_a > X0 ) > X0 ) ).
thf(func_def_360,type,
sF318: ( a > $o ) > ( $o > $o > $o ) > ( a > $o ) > a > $o ).
thf(func_def_361,type,
sF319:
!>[X0: $tType] : ( ( X0 > $o ) > X0 > ( X0 > $o ) > ( $o > $o > $o ) > X0 > set_a ) ).
thf(func_def_362,type,
sF320:
!>[X0: $tType] : ( ( X0 > $o ) > X0 > ( X0 > $o ) > ( $o > $o > $o ) > X0 > a > $o ) ).
thf(func_def_363,type,
sF321:
!>[X0: $tType] : ( set_a > ( set_a > X0 ) > ( X0 > $o ) > $o ) ).
thf(func_def_364,type,
sF322:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > X1 ) > ( X0 > X2 ) > X0 > a > X1 ) ).
thf(func_def_365,type,
sF323:
!>[X0: $tType,X1: $tType] : ( X1 > ( X1 > X0 ) > set_a > set_a > X0 ) ).
thf(func_def_366,type,
sF324:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( set_a > X1 ) > ( X1 > X0 ) > ( X0 > X2 ) > set_a > X2 ) ).
thf(func_def_367,type,
sF325:
!>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > X1 > X0 > $o ) ).
thf(func_def_368,type,
sF326: set_a > a > $o ).
thf(func_def_369,type,
sF327:
!>[X0: $tType,X1: $tType] : ( X1 > ( X1 > X0 ) > ( X0 > a > $o ) > a > $o ) ).
thf(func_def_370,type,
sF328:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( X0 > ( X0 > X1 > X3 > X2 ) > X1 > X3 > X2 ) ).
thf(func_def_371,type,
sF329:
!>[X0: $tType,X1: $tType,X2: $tType] : ( X1 > ( X1 > X2 ) > X0 > X0 > X2 ) ).
thf(func_def_372,type,
sF330:
!>[X0: $tType,X1: $tType,X2: $tType] : ( X1 > ( X1 > X2 ) > X0 > X2 ) ).
thf(func_def_373,type,
sF331:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( X2 > X4 > ( X0 > X1 ) > ( X4 > ( X0 > X1 ) > X2 > X3 ) > X3 ) ).
thf(func_def_374,type,
sF332:
!>[X0: $tType,X1: $tType] : ( ( X0 > $o ) > X0 > ( ( X0 > $o ) > X0 > ( X0 > $o ) > ( $o > $o > $o ) > X0 > X1 ) > X0 > ( $o > $o > $o ) > ( X0 > $o ) > X1 ) ).
thf(func_def_375,type,
sF333:
!>[X0: $tType,X1: $tType] : ( set_a > ( set_a > X0 ) > ( X0 > X1 ) > X1 ) ).
thf(func_def_376,type,
sF334:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( X0 > ( X0 > ( X1 > X3 ) > X2 ) > ( X1 > X3 ) > X2 ) ).
thf(func_def_377,type,
sF335: set_a > ( set_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_378,type,
sF336:
!>[X0: $tType] : ( ( refine424419629nres_a > set_a ) > ( ( refine424419629nres_a > set_a ) > X0 ) > X0 ) ).
thf(func_def_379,type,
sF337: refine424419629nres_a > ( refine424419629nres_a > set_a ) > set_a ).
thf(func_def_380,type,
sF338:
!>[X0: $tType] : ( X0 > set_a > ( set_a > X0 > $o ) > $o ) ).
thf(func_def_381,type,
sF339:
!>[X0: $tType] : ( ( X0 > set_a ) > X0 > set_a ) ).
thf(func_def_382,type,
sF340: ( a > $o ) > ( ( a > $o ) > set_a ) > set_a ).
thf(func_def_383,type,
sF341:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( ( X2 > X0 ) > X1 ) > ( X2 > X0 ) > X1 ) ).
thf(func_def_384,type,
sF342:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > ( a > $o ) > ( ( a > $o ) > ( X0 > X1 ) > $o ) > $o ) ).
thf(func_def_385,type,
sF343: refine424419629nres_a > ( refine424419629nres_a > a > $o ) > a > $o ).
thf(func_def_386,type,
sF344:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( X0 > ( X0 > ( X1 > X3 > $o ) > X2 ) > ( X1 > X3 > $o ) > X2 ) ).
thf(func_def_387,type,
sF345:
!>[X0: $tType] : ( ( set_a > a > $o ) > ( ( set_a > a > $o ) > X0 ) > X0 ) ).
thf(func_def_388,type,
sF346: set_a > ( set_a > a > $o ) > a > $o ).
thf(func_def_389,type,
sF347:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > ( X0 > X2 ) > X1 ) > X2 > ( X0 > X2 ) > X1 ) ).
thf(func_def_390,type,
sF348: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_391,type,
sF349:
!>[X0: $tType,X1: $tType] : ( ( X0 > X0 > $o ) > ( ( X0 > X0 > $o ) > X1 ) > X1 ) ).
thf(func_def_392,type,
sF350:
!>[X0: $tType] : ( X0 > X0 > ( X0 > X0 > $o ) > X0 > X0 > $o ) ).
thf(func_def_393,type,
sF351:
!>[X0: $tType,X1: $tType] : ( ( ( X0 > X1 ) > set_a ) > ( X0 > X1 ) > set_a ) ).
thf(func_def_394,type,
sF352:
!>[X0: $tType,X1: $tType,X2: $tType] : ( X0 > ( X0 > X2 > X1 ) > X2 > X1 ) ).
thf(func_def_395,type,
sF353:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( ( X2 > X0 ) > X1 ) > ( X1 > X3 ) > ( X2 > X0 ) > X3 ) ).
thf(func_def_396,type,
sF354:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > X0 ) > X1 > ( ( X2 > X0 ) > X1 > $o ) > $o ) ).
thf(func_def_397,type,
sF355:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( ( X0 > X2 ) > X1 ) > ( X0 > X2 ) > X1 ) ).
thf(func_def_398,type,
sF356:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > ( ( X0 > X1 ) > X0 ) > X0 ) ).
thf(func_def_399,type,
sF357:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > ( X1 > X0 > X0 ) > X0 ) ).
thf(func_def_400,type,
sF358:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( X1 > X0 ) > ( ( X1 > X0 ) > ( X1 > X3 ) > X2 ) > ( X1 > X3 ) > X2 ) ).
thf(func_def_401,type,
sF359:
!>[X0: $tType] : ( X0 > ( X0 > set_a > set_a ) > set_a > set_a ) ).
thf(func_def_402,type,
sF360:
!>[X0: $tType,X1: $tType] : ( ( a > $o ) > ( X0 > X1 ) > ( ( X0 > X1 ) > ( a > $o ) > a > $o ) > a > $o ) ).
thf(func_def_403,type,
sF361:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( ( X0 > X1 ) > ( X2 > X4 ) > X3 ) > ( X2 > X4 ) > ( X0 > X1 ) > X3 ) ).
thf(func_def_404,type,
sF362:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > ( X1 > X0 > X1 ) > X1 ) ).
thf(func_def_405,type,
sF363: ( a > $o ) > ( ( a > $o ) > ( a > $o ) > $o ) > ( a > $o ) > $o ).
thf(func_def_406,type,
sF364:
!>[X0: $tType,X1: $tType] : ( X0 > set_a > ( set_a > X0 > X1 ) > X1 ) ).
thf(func_def_407,type,
sF365:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( ( a > $o ) > ( X0 > X2 ) > X1 ) > ( a > $o ) > ( X0 > X2 ) > X1 ) ).
thf(func_def_408,type,
sF366:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X0 > X2 ) > ( ( X0 > X0 > X2 ) > X1 > X1 > $o ) > X1 > X1 > $o ) ).
thf(func_def_409,type,
sF367:
!>[X0: $tType,X1: $tType] : ( ( ( X0 > $o ) > X1 ) > ( X0 > $o ) > X1 ) ).
thf(func_def_410,type,
sF368: set_a > ( a > set_a > $o ) > a > $o ).
thf(func_def_411,type,
sF369:
!>[X0: $tType] : ( ( a > $o ) > ( $o > $o > $o ) > X0 > ( X0 > $o ) > a > $o ) ).
thf(func_def_412,type,
sF370: set_a > ( set_a > set_a > $o ) > set_a > $o ).
thf(func_def_413,type,
sF371:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( X0 > ( X0 > X1 > X2 > X3 ) > X2 > X1 > X3 ) ).
thf(func_def_414,type,
sF372:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > ( X1 > X0 > set_a ) > set_a ) ).
thf(func_def_415,type,
sF373:
!>[X0: $tType,X1: $tType,X2: $tType] : ( X0 > X0 > X1 > ( X0 > X0 > X1 > X2 ) > X2 ) ).
thf(func_def_416,type,
sF374: ( refine424419629nres_a > $o ) > ( ( refine424419629nres_a > $o ) > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_417,type,
sF375:
!>[X0: $tType] : ( ( X0 > ( refine424419629nres_a > $o ) > refine424419629nres_a ) > ( refine424419629nres_a > $o ) > X0 > refine424419629nres_a ) ).
thf(func_def_418,type,
sF376:
!>[X0: $tType] : ( X0 > ( X0 > refine424419629nres_a > $o ) > refine424419629nres_a > $o ) ).
thf(func_def_419,type,
sF377:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( refine424419629nres_a > X0 > X2 ) > ( ( refine424419629nres_a > X0 > X2 ) > X1 ) > X1 ) ).
thf(func_def_420,type,
sF378:
!>[X0: $tType,X1: $tType] : ( refine424419629nres_a > refine424419629nres_a > X0 > ( refine424419629nres_a > refine424419629nres_a > X0 > X1 ) > X1 ) ).
thf(func_def_421,type,
sF379:
!>[X0: $tType,X1: $tType] : ( X1 > refine424419629nres_a > $o > ( X1 > refine424419629nres_a > $o > X0 ) > X0 ) ).
thf(func_def_422,type,
sF380:
!>[X0: $tType,X1: $tType,X2: $tType] : ( X0 > refine424419629nres_a > X1 > ( refine424419629nres_a > X0 > X1 > X2 ) > X2 ) ).
thf(func_def_423,type,
sF381:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > X2 > $o ) > X1 > ( X0 > X2 ) > ( X1 > X2 ) > X0 > a > $o ) ).
thf(func_def_424,type,
sF382:
!>[X0: $tType] : ( ( X0 > refine424419629nres_a ) > X0 > refine424419629nres_a ) ).
thf(func_def_425,type,
sF383:
!>[X0: $tType] : ( set_a > ( set_a > X0 ) > X0 ) ).
thf(func_def_426,type,
sF384:
!>[X0: $tType] : ( ( ( a > $o ) > X0 ) > ( a > $o ) > X0 ) ).
thf(func_def_427,type,
sF385: ( a > refine424419629nres_a ) > a > refine424419629nres_a ).
thf(func_def_428,type,
sF386:
!>[X0: $tType,X1: $tType] : ( ( a > refine424419629nres_a ) > X1 > X0 > ( ( a > refine424419629nres_a ) > X1 > X0 > a ) > a ) ).
thf(func_def_429,type,
sF387:
!>[X0: $tType] : ( refine424419629nres_a > ( a > refine424419629nres_a ) > ( a > refine424419629nres_a ) > ( ( a > refine424419629nres_a ) > ( a > refine424419629nres_a ) > refine424419629nres_a > X0 ) > X0 ) ).
thf(func_def_430,type,
sF388:
!>[X0: $tType,X1: $tType,X2: $tType] : ( X2 > X0 > refine424419629nres_a > ( X0 > X2 > refine424419629nres_a > X1 ) > X1 ) ).
thf(func_def_431,type,
sF389: ( a > refine424419629nres_a ) > refine424419629nres_a > a > $o ).
thf(func_def_432,type,
sF390:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > ( a > X1 ) > X2 ) > X0 > ( a > X1 ) > X2 ) ).
thf(func_def_433,type,
sF391:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > ( X1 > X0 > refine424419629nres_a ) > refine424419629nres_a ) ).
thf(func_def_434,type,
sF392:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > ( X0 > X2 ) > X1 ) > X0 > ( X0 > X2 ) > X1 ) ).
thf(func_def_435,type,
sF393: ( $o > $o ) > $o > $o ).
thf(func_def_436,type,
sF394:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > ( X1 > X0 > a > $o ) > a > $o ) ).
thf(func_def_437,type,
sF395:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( X0 > X4 > X2 > X1 > ( X4 > X1 > X0 > X2 > X3 ) > X3 ) ).
thf(func_def_438,type,
sF396:
!>[X0: $tType,X1: $tType] : ( ( ( refine424419629nres_a > X0 ) > X1 ) > ( refine424419629nres_a > X0 ) > X1 ) ).
thf(func_def_439,type,
sF397:
!>[X0: $tType,X1: $tType] : ( ( ( X0 > X1 ) > refine424419629nres_a ) > ( X0 > X1 ) > refine424419629nres_a ) ).
thf(func_def_440,type,
sF398:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( ( X1 > X3 > X2 ) > X0 > X0 > $o ) > ( X1 > X3 > X2 ) > X0 > X0 > $o ) ).
thf(func_def_441,type,
sF399:
!>[X0: $tType,X1: $tType] : ( ( a > $o ) > ( X0 > X1 ) > ( ( X0 > X1 ) > ( a > $o ) > $o ) > $o ) ).
thf(func_def_442,type,
sF400:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( X1 > X0 ) > ( ( X1 > X0 ) > ( X2 > X3 ) > a > $o ) > ( X2 > X3 ) > a > $o ) ).
thf(func_def_443,type,
sF401:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 > ( X0 > ( X0 > X1 ) > X1 ) > X1 ) ).
thf(func_def_444,type,
sF402:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( X1 > X4 ) > ( X5 > ( X1 > X4 ) > ( X2 > X3 ) > X0 ) > ( X2 > X3 ) > X5 > X0 ) ).
thf(func_def_445,type,
sF403:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( X2 > X4 > ( X5 > X4 > ( X0 > X1 ) > X2 > X3 ) > ( X0 > X1 ) > X5 > X3 ) ).
thf(func_def_446,type,
sF404:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( X2 > X3 ) > X4 > X1 > ( X4 > X1 > ( X2 > X3 ) > X0 ) > X0 ) ).
thf(func_def_447,type,
sF405:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( X1 > X0 ) > ( ( X1 > X0 ) > ( X2 > X3 ) > $o ) > ( X2 > X3 ) > $o ) ).
thf(func_def_448,type,
sF406:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( X2 > X3 > X0 ) > ( ( X4 > X5 ) > ( X2 > X3 > X0 ) > X1 ) > ( X4 > X5 ) > X1 ) ).
thf(func_def_449,type,
sF407:
!>[X0: $tType] : ( ( refine424419629nres_a > X0 ) > X0 ) ).
thf(func_def_450,type,
sF408: refine424419629nres_a > set_a ).
thf(f2,axiom,
! [X0: set_a,X1: set_a] :
( ( ( refine1198353288_RES_a @ X0 )
= ( refine1198353288_RES_a @ X1 ) )
= ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_nres_Oinject) ).
thf(f5,axiom,
ord_le519537037nres_a @ a2 @ ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ ( collect_a @ p ) ) @ ( refine1198353288_RES_a @ ( collect_a @ q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4__092_060open_062A_A_092_060le_062_Ainf_A_ISPEC_AP_J_A_ISPEC_AQ_J_092_060close_062) ).
thf(f149,axiom,
! [X0: set_a,X1: set_a] :
( ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ X0 ) @ ( refine1198353288_RES_a @ X1 ) )
= ( refine1198353288_RES_a @ ( inf_inf_set_a @ X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_148_inf__nres_Osimps_I3_J) ).
thf(f273,axiom,
! [X0: a > $o,X1: a > $o] :
( ( collect_a
@ ^ [X2: a] :
( ( X1 @ X2 )
& ( X0 @ X2 ) ) )
= ( inf_inf_set_a @ ( collect_a @ X0 ) @ ( collect_a @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_272_Collect__conj__eq) ).
thf(f354,axiom,
! [X0: $o] :
( ( X0 = $false )
| ( X0 = $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_If_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_T) ).
thf(f357,conjecture,
( ord_le519537037nres_a @ a2
@ ( refine1198353288_RES_a
@ ( collect_a
@ ^ [X0: a] :
( ( q @ X0 )
& ( p @ X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f358,negated_conjecture,
~ ( ord_le519537037nres_a @ a2
@ ( refine1198353288_RES_a
@ ( collect_a
@ ^ [X0: a] :
( ( q @ X0 )
& ( p @ X0 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f357]) ).
thf(f360,plain,
! [X0: set_a,X1: set_a] :
( ( ( refine1198353288_RES_a @ X0 )
= ( refine1198353288_RES_a @ X1 ) )
= ( X0 = X1 ) ),
inference(fool_elimination,[],[f2]) ).
thf(f365,plain,
ord_le519537037nres_a @ a2 @ ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ ( collect_a @ p ) ) @ ( refine1198353288_RES_a @ ( collect_a @ q ) ) ),
inference(rectify,[],[f5]) ).
thf(f366,plain,
( ( ord_le519537037nres_a @ a2 @ ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ ( collect_a @ p ) ) @ ( refine1198353288_RES_a @ ( collect_a @ q ) ) ) )
= $true ),
inference(fool_elimination,[],[f365]) ).
thf(f776,plain,
! [X0: a > $o,X1: a > $o] :
( ( collect_a
@ ^ [X2: a] :
( ( X1 @ X2 )
& ( X0 @ X2 ) ) )
= ( inf_inf_set_a @ ( collect_a @ X0 ) @ ( collect_a @ X1 ) ) ),
inference(rectify,[],[f273]) ).
thf(f777,plain,
! [X0: a > $o,X1: a > $o] :
( ( inf_inf_set_a @ ( collect_a @ X0 ) @ ( collect_a @ X1 ) )
= ( collect_a
@ ^ [Y0: a] :
( ( X0 @ Y0 )
& ( X1 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f776]) ).
thf(f903,plain,
! [X0: $o] :
( ( $false = X0 )
| ( $true = X0 ) ),
inference(fool_elimination,[],[f354]) ).
thf(f908,plain,
~ ( ord_le519537037nres_a @ a2
@ ( refine1198353288_RES_a
@ ( collect_a
@ ^ [X0: a] :
( ( q @ X0 )
& ( p @ X0 ) ) ) ) ),
inference(rectify,[],[f358]) ).
thf(f909,plain,
( $true
!= ( ord_le519537037nres_a @ a2
@ ( refine1198353288_RES_a
@ ( collect_a
@ ^ [Y0: a] :
( ( p @ Y0 )
& ( q @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f908]) ).
thf(f930,plain,
( $true
!= ( ord_le519537037nres_a @ a2
@ ( refine1198353288_RES_a
@ ( collect_a
@ ^ [Y0: a] :
( ( p @ Y0 )
& ( q @ Y0 ) ) ) ) ) ),
inference(flattening,[],[f909]) ).
thf(f1323,plain,
! [X0: set_a,X1: set_a] :
( ( ( refine1198353288_RES_a @ X0 )
= ( refine1198353288_RES_a @ X1 ) )
= ( X0 = X1 ) ),
inference(cnf_transformation,[],[f360]) ).
thf(f1326,plain,
( ( ord_le519537037nres_a @ a2 @ ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ ( collect_a @ p ) ) @ ( refine1198353288_RES_a @ ( collect_a @ q ) ) ) )
= $true ),
inference(cnf_transformation,[],[f366]) ).
thf(f1536,plain,
! [X0: set_a,X1: set_a] :
( ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ X0 ) @ ( refine1198353288_RES_a @ X1 ) )
= ( refine1198353288_RES_a @ ( inf_inf_set_a @ X0 @ X1 ) ) ),
inference(cnf_transformation,[],[f149]) ).
thf(f1674,plain,
! [X0: a > $o,X1: a > $o] :
( ( inf_inf_set_a @ ( collect_a @ X0 ) @ ( collect_a @ X1 ) )
= ( collect_a
@ ^ [Y0: a] :
( ( X0 @ Y0 )
& ( X1 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f777]) ).
thf(f1797,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
inference(cnf_transformation,[],[f903]) ).
thf(f1800,plain,
( $true
!= ( ord_le519537037nres_a @ a2
@ ( refine1198353288_RES_a
@ ( collect_a
@ ^ [Y0: a] :
( ( p @ Y0 )
& ( q @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f930]) ).
thf(f1803,definition,
( $false
= ( sP140
@ ( ord_le519537037nres_a @ a2
@ ( refine1198353288_RES_a
@ ( collect_a
@ ^ [Y0: a] :
( ( p @ Y0 )
& ( q @ Y0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP140])],[inequality_splitting_name_introduction]) ).
thf(f1804,plain,
( $true
= ( sP140 @ $true ) ),
inference(inequality_splitting,[],[f1800,f1803]) ).
thf(f2075,plain,
! [X0: set_a,X1: set_a] :
( ( ( ( refine1198353288_RES_a @ X0 )
= ( refine1198353288_RES_a @ X1 ) )
= $true )
| ( ( X0 = X1 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1323]) ).
thf(f2079,plain,
! [X0: set_a,X1: set_a] :
( ( ( refine1198353288_RES_a @ X0 )
= ( refine1198353288_RES_a @ X1 ) )
| ( ( X0 = X1 )
= $false ) ),
inference(equality_proxy_clausification,[],[f2075]) ).
thf(f2080,plain,
! [X0: set_a,X1: set_a] :
( ( ( refine1198353288_RES_a @ X0 )
= ( refine1198353288_RES_a @ X1 ) )
| ( X0 != X1 ) ),
inference(equality_proxy_clausification,[],[f2079]) ).
thf(f2476,plain,
( $true
= ( ord_le519537037nres_a @ a2 @ ( refine1198353288_RES_a @ ( inf_inf_set_a @ ( collect_a @ p ) @ ( collect_a @ q ) ) ) ) ),
inference(forward_demodulation,[],[f1326,f1536]) ).
thf(f2779,plain,
! [X0: $o] :
( ( ( sP140 @ X0 )
= X0 )
| ( $false = X0 ) ),
inference(constrained_superposition,[],[f1804,f1797]) ).
thf(f2783,plain,
! [X0: $o] :
( ( $true
= ( sP140 @ X0 ) )
| ( $false = X0 )
| ( $false = X0 ) ),
inference(iff_proxy_clausification,[],[f2779]) ).
thf(f2785,plain,
! [X0: $o] :
( ( $true
= ( sP140 @ X0 ) )
| ( $false = X0 ) ),
inference(duplicate_literal_removal,[],[f2783]) ).
thf(f2909,plain,
! [X0: set_a] :
( ( $false
= ( sP140 @ ( ord_le519537037nres_a @ a2 @ ( refine1198353288_RES_a @ X0 ) ) ) )
| ( ( collect_a
@ ^ [Y0: a] :
( ( p @ Y0 )
& ( q @ Y0 ) ) )
!= X0 ) ),
inference(constrained_superposition,[],[f1803,f2080]) ).
thf(f2921,plain,
! [X0: set_a] :
( ( ( inf_inf_set_a @ ( collect_a @ p ) @ ( collect_a @ q ) )
!= X0 )
| ( $false
= ( sP140 @ ( ord_le519537037nres_a @ a2 @ ( refine1198353288_RES_a @ X0 ) ) ) ) ),
inference(forward_demodulation,[],[f2909,f1674]) ).
thf(f2926,plain,
( $false
= ( sP140 @ ( ord_le519537037nres_a @ a2 @ ( refine1198353288_RES_a @ ( inf_inf_set_a @ ( collect_a @ p ) @ ( collect_a @ q ) ) ) ) ) ),
inference(equality_resolution,[],[f2921]) ).
thf(f2927,plain,
( $false
= ( sP140 @ $true ) ),
inference(forward_demodulation,[],[f2926,f2476]) ).
thf(f2933,plain,
( ( $true = $false )
| ( $true = $false ) ),
inference(constrained_superposition,[],[f2785,f2927]) ).
thf(f2934,plain,
$true = $false,
inference(duplicate_literal_removal,[],[f2933]) ).
thf(f2935,plain,
$false,
inference(trivial_inequality_removal,[],[f2934]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP162^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.16 % Computer : n018.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Tue Sep 29 20:06:27 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 Running first-order model finding
% 0.08/0.19 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
% 4.19/0.93 % (577095)Will run a generic schedule for satisfiability detection.
% 4.19/0.93 % (577103)dis+10_1_sil=32000:sp=arity:random_seed=222435786:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.19/0.93 % (577100)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3282201499_2999 on theBenchmark for (2999ds/0Mi)
% 4.19/0.93 % (577102)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1774009239:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.19/0.93 % (577105)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2941121967:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.19/0.93 % (577104)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=182458998:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.19/0.93 % (577106)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1416809655:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.19/0.93 % (577101)% WARNING: option uhcvi not known.
% 4.19/0.93 % (577101)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1210835898:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.19/0.93 % (577103)Instruction limit reached!
% 4.19/0.93 % (577103)------------------------------
% 4.19/0.93 % (577103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.19/0.93 % (577103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/0.93 % (577103)CaDiCaL version: 2.1.3
% 4.19/0.93 % (577103)Termination reason: Instruction limit
% 4.19/0.93 % (577103)Termination phase: Property scanning
% 4.19/0.93 % (577103)Time elapsed: 0.023 s
% 4.19/0.93 % (577103)Peak memory usage: 12 MB
% 4.19/0.93 % (577103)Instructions burned: 106 (million)
% 4.19/0.93 % (577104)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.19/0.93 % (577101)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.19/0.93 % (577114)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2796470928:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.19/0.93 % (577104)Instruction limit reached!
% 4.19/0.93 % (577104)------------------------------
% 4.19/0.93 % (577104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.19/0.93 % (577104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/0.93 % (577104)CaDiCaL version: 2.1.3
% 4.19/0.93 % (577104)Termination reason: Instruction limit
% 4.19/0.93 % (577104)Termination phase: Property scanning
% 4.19/0.93 % (577104)Time elapsed: 0.048 s
% 4.19/0.93 % (577104)Peak memory usage: 11 MB
% 4.19/0.93 % (577104)Instructions burned: 117 (million)
% 4.19/0.93 % (577105)Instruction limit reached!
% 4.19/0.93 % (577105)------------------------------
% 4.19/0.93 % (577105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.19/0.93 % (577105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/0.93 % (577105)CaDiCaL version: 2.1.3
% 4.19/0.93 % (577105)Termination reason: Instruction limit
% 4.19/0.93 % (577105)Termination phase: Property scanning
% 4.19/0.93 % (577105)Time elapsed: 0.054 s
% 4.19/0.93 % (577105)Peak memory usage: 11 MB
% 4.19/0.93 % (577105)Instructions burned: 133 (million)
% 4.19/0.93 % Exception at run slice level
% 4.19/0.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.19/0.93 % Exception at run slice level
% 4.19/0.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.19/0.93 % (577101)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.19/0.93 % (577106)Instruction limit reached!
% 4.19/0.93 % (577106)------------------------------
% 4.19/0.93 % (577106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.19/0.93 % (577106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/0.93 % (577106)CaDiCaL version: 2.1.3
% 4.19/0.93 % (577106)Termination reason: Instruction limit
% 4.19/0.93 % (577106)Termination phase: Saturation
% 4.19/0.93 % (577106)Time elapsed: 0.066 s
% 4.19/0.93 % (577106)Peak memory usage: 13 MB
% 4.19/0.93 % (577106)Instructions burned: 161 (million)
% 4.19/0.93 % (577116)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3650368841:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.19/0.93 % (577118)ott-21_1_sil=16000:fs=off:random_seed=88259057:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.19/0.93 % (577117)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=1034159215:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.19/0.93 % (577119)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3845520462:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.19/0.93 % (577120)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1514169511:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 4.19/0.93 % (577117)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.19/0.93 % (577118)Instruction limit reached!
% 4.19/0.93 % (577118)------------------------------
% 4.19/0.93 % (577118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.19/0.93 % (577118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/0.93 % (577118)CaDiCaL version: 2.1.3
% 4.19/0.93 % (577118)Termination reason: Instruction limit
% 4.19/0.93 % (577118)Termination phase: Saturation
% 4.19/0.93 % (577118)Time elapsed: 0.039 s
% 4.19/0.93 % (577118)Peak memory usage: 13 MB
% 4.19/0.93 % (577118)Instructions burned: 183 (million)
% 4.19/0.93 % (577126)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1005692687:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 4.19/0.93 % (577116)Instruction limit reached!
% 4.19/0.93 % (577116)------------------------------
% 4.19/0.93 % (577116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.19/0.93 % (577116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/0.93 % (577116)CaDiCaL version: 2.1.3
% 4.19/0.93 % (577116)Termination reason: Instruction limit
% 4.19/0.93 % (577116)Termination phase: Property scanning
% 4.19/0.93 % (577116)Time elapsed: 0.060 s
% 4.19/0.93 % (577116)Peak memory usage: 12 MB
% 4.19/0.93 % (577116)Instructions burned: 133 (million)
% 4.19/0.93 % (577117)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.19/0.93 % Exception at run slice level
% 4.19/0.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.19/0.93 % (577128)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2357686284:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 4.19/0.93 % (577129)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=139951246:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 4.19/0.93 % (577129)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.19/0.93 % Exception at run slice level
% 4.19/0.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.19/0.93 % (577132)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3523798751:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 4.19/0.93 % (577132)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.19/0.93 % (577119)Instruction limit reached!
% 4.19/0.93 % (577119)------------------------------
% 4.19/0.93 % (577119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.19/0.93 % (577119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/0.93 % (577119)CaDiCaL version: 2.1.3
% 4.19/0.93 % (577119)Termination reason: Instruction limit
% 4.19/0.93 % (577119)Termination phase: Saturation
% 4.19/0.93 % (577119)Time elapsed: 0.220 s
% 4.19/0.93 % (577119)Peak memory usage: 15 MB
% 4.19/0.93 % (577119)Instructions burned: 477 (million)
% 4.19/0.93 % (577134)fmb+10_1_sil=64000:random_seed=3440181388:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 4.19/0.93 % (577117)Instruction limit reached!
% 4.19/0.93 % (577117)------------------------------
% 4.19/0.93 % (577117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.19/0.93 % (577117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/0.93 % (577117)CaDiCaL version: 2.1.3
% 4.19/0.93 % (577117)Termination reason: Instruction limit
% 4.19/0.93 % (577117)Termination phase: Saturation
% 4.19/0.93 % (577117)Time elapsed: 0.261 s
% 4.19/0.93 % (577117)Peak memory usage: 15 MB
% 4.19/0.93 % (577117)Instructions burned: 685 (million)
% 4.19/0.93 % (577136)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=225572126:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 4.19/0.93 % (577134)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 4.19/0.93 % Exception at run slice level
% 4.19/0.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.19/0.93 % (577138)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1690215547:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 4.19/0.93 % (577126)Instruction limit reached!
% 4.19/0.93 % (577126)------------------------------
% 4.19/0.93 % (577126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.19/0.93 % (577126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/0.93 % (577126)CaDiCaL version: 2.1.3
% 4.19/0.93 % (577126)Termination reason: Instruction limit
% 4.19/0.93 % (577126)Termination phase: Saturation
% 4.19/0.93 % (577126)Time elapsed: 0.295 s
% 4.19/0.93 % (577126)Peak memory usage: 19 MB
% 4.19/0.93 % (577126)Instructions burned: 1181 (million)
% 4.19/0.93 % Exception at run slice level
% 4.19/0.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.19/0.93 % (577140)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=887676466:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 4.19/0.93 % (577140)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.19/0.93 % (577141)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=690097986:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 4.19/0.93 % Exception at run slice level
% 4.19/0.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.19/0.93 % (577129)Instruction limit reached!
% 4.19/0.93 % (577129)------------------------------
% 4.19/0.93 % (577129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.19/0.93 % (577129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/0.93 % (577129)CaDiCaL version: 2.1.3
% 4.19/0.93 % (577129)Termination reason: Instruction limit
% 4.19/0.93 % (577129)Termination phase: Saturation
% 4.19/0.93 % (577129)Time elapsed: 0.299 s
% 4.19/0.93 % (577129)Peak memory usage: 17 MB
% 4.19/0.93 % (577129)Instructions burned: 695 (million)
% 4.19/0.93 % (577141)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 4.19/0.93 % (577141)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.19/0.93 % (577144)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=398466545:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 4.19/0.93 % (577145)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2569884763:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 4.19/0.93 % Exception at run slice level
% 4.19/0.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.19/0.93 % Exception at run slice level
% 4.19/0.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.19/0.93 % (577148)ott-2_1_sil=16000:newcnf=on:random_seed=2125640508:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 4.19/0.93 % (577149)ott+10_1_sil=32000:tgt=ground:random_seed=2013381280:i=5114:av=off_2994 on theBenchmark for (2994ds/5114Mi)
% 4.19/0.93 % (577148)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.19/0.93 % (577132)Instruction limit reached!
% 4.19/0.93 % (577132)------------------------------
% 4.19/0.93 % (577132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.19/0.93 % (577132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/0.93 % (577132)CaDiCaL version: 2.1.3
% 4.19/0.93 % (577132)Termination reason: Instruction limit
% 4.19/0.93 % (577132)Termination phase: Saturation
% 4.19/0.93 % (577132)Time elapsed: 0.429 s
% 4.19/0.93 % (577132)Peak memory usage: 19 MB
% 4.19/0.93 % (577132)Instructions burned: 881 (million)
% 4.19/0.93 % (577141) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-577095-577141"...
% 4.19/0.93 % (577141)...printing done.
% 4.19/0.93 % (577152)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3978168565:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 4.19/0.93 % (577141)Refutation found. Thanks to Tanya!
% 4.19/0.93 % SZS status Theorem for theBenchmark
% 4.19/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 4.19/0.94 % (577141)------------------------------
% 4.19/0.94 % (577141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.19/0.94 % (577141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/0.94 % (577141)CaDiCaL version: 2.1.3
% 4.19/0.94 % (577141)Termination reason: Refutation
% 4.19/0.94 % (577141)Time elapsed: 0.251 s
% 4.19/0.94 % (577141)Peak memory usage: 16 MB
% 4.19/0.94 % (577141)Instructions burned: 517 (million)
% 4.19/0.94 % (577095)Success in time 0.736 s
% 4.19/0.94 % Vampire exiting
%------------------------------------------------------------------------------