%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP165^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 08:08:38 AM UTC 2026
% Result : Theorem 0.32s 0.46s
% Output : Refutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 58 ( 17 unt; 0 typ; 5 def)
% Number of atoms : 219 ( 42 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 247 ( 40 ~; 37 |; 0 &; 158 @)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 250 ( 247 usr; 18 con; 0-4 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
refine787176636t_unit: $tType ).
thf(type_def_6,type,
refine424419629nres_a: $tType ).
thf(type_def_7,type,
set_Product_unit: $tType ).
thf(type_def_8,type,
product_unit: $tType ).
thf(type_def_9,type,
set_a: $tType ).
thf(type_def_10,type,
a: $tType ).
thf(type_def_11,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
uminus_uminus_set_a: set_a > set_a ).
thf(func_def_1,type,
if_o_R1705037948nres_a: $o > ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o > refine424419629nres_a ).
thf(func_def_2,type,
if_Ref1369692790t_unit: $o > refine787176636t_unit > refine787176636t_unit > refine787176636t_unit ).
thf(func_def_3,type,
if_Ref1724547303nres_a: $o > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_4,type,
if_set_a: $o > set_a > set_a > set_a ).
thf(func_def_5,type,
bot_bot_a_o: a > $o ).
thf(func_def_6,type,
bot_bo658782032t_unit: refine787176636t_unit ).
thf(func_def_7,type,
bot_bo529555393nres_a: refine424419629nres_a ).
thf(func_def_8,type,
bot_bo1087887705t_unit: set_Product_unit ).
thf(func_def_9,type,
bot_bot_set_a: set_a ).
thf(func_def_10,type,
ord_le1960259811nres_a: ( $o > $o > refine424419629nres_a ) > ( $o > $o > refine424419629nres_a ) > $o ).
thf(func_def_11,type,
ord_le1633311077t_unit: ( $o > refine787176636t_unit ) > ( $o > refine787176636t_unit ) > $o ).
thf(func_def_12,type,
ord_le516598614nres_a: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_13,type,
ord_less_eq_o_set_a: ( $o > set_a ) > ( $o > set_a ) > $o ).
thf(func_def_14,type,
ord_le1051254044t_unit: refine787176636t_unit > refine787176636t_unit > $o ).
thf(func_def_15,type,
ord_le519537037nres_a: refine424419629nres_a > refine424419629nres_a > $o ).
thf(func_def_16,type,
ord_le1023748749t_unit: set_Product_unit > set_Product_unit > $o ).
thf(func_def_17,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_18,type,
order_245837199nres_a: ( ( $o > refine424419629nres_a ) > $o ) > $o > refine424419629nres_a ).
thf(func_def_19,type,
order_453013155t_unit: ( refine787176636t_unit > $o ) > refine787176636t_unit ).
thf(func_def_20,type,
order_1714329108nres_a: ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_21,type,
order_Greatest_set_a: ( set_a > $o ) > set_a ).
thf(func_def_22,type,
top_to177290092t_unit: refine787176636t_unit ).
thf(func_def_23,type,
top_to231829469nres_a: refine424419629nres_a ).
thf(func_def_24,type,
top_top_set_a: set_a ).
thf(func_def_25,type,
partia1658438072t_unit: refine787176636t_unit > refine787176636t_unit > refine787176636t_unit > $o ).
thf(func_def_26,type,
partia906949161nres_a: refine424419629nres_a > refine424419629nres_a > refine424419629nres_a > $o ).
thf(func_def_27,type,
refine23983189ASSUME: $o > refine787176636t_unit ).
thf(func_def_28,type,
refine1420258419t_unit: product_unit > refine787176636t_unit ).
thf(func_def_29,type,
refine2063221604TURN_a: a > refine424419629nres_a ).
thf(func_def_30,type,
refine681446406t_unit: refine787176636t_unit > ( product_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_31,type,
refine119808503unit_a: refine787176636t_unit > ( product_unit > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_32,type,
refine96995669t_unit: refine424419629nres_a > ( a > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_33,type,
refine436832838nd_a_a: refine424419629nres_a > ( a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_34,type,
refine558004794t_unit: refine787176636t_unit > product_unit > $o ).
thf(func_def_35,type,
refine1001002027nres_a: refine424419629nres_a > a > $o ).
thf(func_def_36,type,
refine983493746t_unit: refine787176636t_unit > product_unit > $o ).
thf(func_def_37,type,
refine1312857699nres_a: refine424419629nres_a > a > $o ).
thf(func_def_38,type,
refine579265252t_unit: refine787176636t_unit > $o ).
thf(func_def_39,type,
refine412683989fail_a: refine424419629nres_a > $o ).
thf(func_def_40,type,
refine464223677AILi_a: refine424419629nres_a ).
thf(func_def_41,type,
refine1777164439t_unit: set_Product_unit > refine787176636t_unit ).
thf(func_def_42,type,
refine1198353288_RES_a: set_a > refine424419629nres_a ).
thf(func_def_43,type,
refine1208325748t_unit: refine787176636t_unit > set_Product_unit ).
thf(func_def_44,type,
refine1822134885_RES_a: refine424419629nres_a > set_a ).
thf(func_def_45,type,
refine459374679t_unit: ( refine787176636t_unit > refine787176636t_unit ) > $o ).
thf(func_def_46,type,
collect_Product_unit: ( product_unit > $o ) > set_Product_unit ).
thf(func_def_47,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_48,type,
insert_a: a > set_a > set_a ).
thf(func_def_49,type,
is_singleton_a: set_a > $o ).
thf(func_def_50,type,
member_Product_unit: product_unit > set_Product_unit > $o ).
thf(func_def_51,type,
member_a: a > set_a > $o ).
thf(func_def_52,type,
s1: refine424419629nres_a ).
thf(func_def_53,type,
s2: refine424419629nres_a ).
thf(func_def_54,type,
phi: a > $o ).
thf(func_def_55,type,
b: $o ).
thf(func_def_59,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_60,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_61,type,
vAND: $o > $o > $o ).
thf(func_def_62,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_63,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_64,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_65,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_66,type,
vIMP: $o > $o > $o ).
thf(func_def_67,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_68,type,
vNOT: $o > $o ).
thf(func_def_69,type,
sP0: refine424419629nres_a > $o > refine424419629nres_a > $o ).
thf(func_def_70,type,
sK1: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_71,type,
sK2: ( ( $o > refine424419629nres_a ) > refine424419629nres_a ) > $o > refine424419629nres_a ).
thf(func_def_72,type,
sK3: ( ( $o > refine424419629nres_a ) > refine424419629nres_a ) > $o > refine424419629nres_a ).
thf(func_def_73,type,
sK4: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_74,type,
sK5: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_75,type,
sK6: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_76,type,
sK7: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_77,type,
sK8: set_a > ( a > $o ) > a ).
thf(func_def_78,type,
sK9: refine787176636t_unit > refine787176636t_unit > product_unit ).
thf(func_def_79,type,
sK10: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_80,type,
sK11: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_81,type,
sK12: ( product_unit > refine787176636t_unit ) > ( product_unit > refine787176636t_unit ) > refine787176636t_unit > product_unit ).
thf(func_def_82,type,
sK13: refine424419629nres_a > refine424419629nres_a > set_a ).
thf(func_def_83,type,
sK14: refine424419629nres_a > refine424419629nres_a > set_a ).
thf(func_def_84,type,
sK15: ( product_unit > refine424419629nres_a ) > refine787176636t_unit > product_unit ).
thf(func_def_85,type,
sK16: ( product_unit > $o ) > ( product_unit > $o ) > product_unit ).
thf(func_def_86,type,
sK17: set_a > a ).
thf(func_def_87,type,
sK18: ( set_a > set_a ) > set_a ).
thf(func_def_88,type,
sK19: ( set_a > set_a ) > set_a ).
thf(func_def_89,type,
sK20: ( product_unit > refine787176636t_unit ) > refine787176636t_unit > product_unit ).
thf(func_def_90,type,
sK21: ( refine424419629nres_a > $o > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_91,type,
sK22: ( refine424419629nres_a > $o > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_92,type,
sK23: ( product_unit > $o ) > ( product_unit > $o ) > product_unit ).
thf(func_def_93,type,
sK24: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_94,type,
sK25: refine424419629nres_a > ( a > refine787176636t_unit ) > ( a > refine787176636t_unit ) > a ).
thf(func_def_95,type,
sK26: set_a > a ).
thf(func_def_96,type,
sK27: set_a > a ).
thf(func_def_97,type,
sK28: set_a > a ).
thf(func_def_98,type,
sK29: refine787176636t_unit > ( product_unit > refine424419629nres_a ) > ( product_unit > refine424419629nres_a ) > product_unit ).
thf(func_def_99,type,
sK30: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_100,type,
sK31: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_101,type,
sK32: ( refine424419629nres_a > refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_102,type,
sK33: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_103,type,
sK34: ( ( $o > refine424419629nres_a ) > $o ) > ( $o > refine424419629nres_a ) > $o > refine424419629nres_a ).
thf(func_def_104,type,
sK35: ( ( $o > refine424419629nres_a ) > $o ) > ( ( $o > refine424419629nres_a ) > $o ) > $o > refine424419629nres_a ).
thf(func_def_105,type,
sK36: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_106,type,
sK37: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_107,type,
sK38: refine424419629nres_a > ( a > refine424419629nres_a ) > a ).
thf(func_def_108,type,
sK39: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_109,type,
sK40: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_110,type,
sK41: ( product_unit > $o ) > ( product_unit > $o ) > product_unit ).
thf(func_def_111,type,
sK42: ( product_unit > refine787176636t_unit ) > refine787176636t_unit > refine787176636t_unit > product_unit ).
thf(func_def_112,type,
sK43: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_113,type,
sK44: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_114,type,
sK45: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_115,type,
sK46: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_116,type,
sK47: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_117,type,
sK48: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_118,type,
sK49: refine424419629nres_a > $o > refine424419629nres_a > set_a ).
thf(func_def_119,type,
sK50: refine424419629nres_a > $o > refine424419629nres_a > set_a ).
thf(func_def_120,type,
sK51: refine424419629nres_a > set_a ).
thf(func_def_121,type,
sK52: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_122,type,
sK53: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_123,type,
sK54: ( a > $o ) > set_a > a ).
thf(func_def_124,type,
sK55: ( set_a > $o ) > ( set_a > $o ) > set_a ).
thf(func_def_125,type,
sK56: set_a > ( set_a > $o ) > set_a ).
thf(func_def_126,type,
sK57: ( set_a > set_a ) > set_a ).
thf(func_def_127,type,
sK58: ( set_a > set_a ) > set_a ).
thf(func_def_128,type,
sK59: ( a > refine424419629nres_a ) > refine424419629nres_a > refine424419629nres_a > a ).
thf(func_def_129,type,
sK60: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_130,type,
sK61: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_131,type,
sK62: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_132,type,
sK63: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_133,type,
sK64: ( refine424419629nres_a > refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_134,type,
sK65: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_135,type,
sK66: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_136,type,
sK67: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_137,type,
sK68: ( refine424419629nres_a > $o ) > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_138,type,
sK69: ( refine424419629nres_a > $o ) > ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_139,type,
sK70: ( a > $o ) > a ).
thf(func_def_140,type,
sK71: ( refine424419629nres_a > refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_141,type,
sK72: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_142,type,
sK73: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_143,type,
sK74: ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(func_def_144,type,
sK75: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_145,type,
sK76: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_146,type,
sK77: ( product_unit > $o ) > ( product_unit > $o ) > product_unit ).
thf(func_def_147,type,
sK78: ( product_unit > $o ) > ( product_unit > $o ) > product_unit ).
thf(func_def_148,type,
sK79: ( set_a > $o ) > set_a > set_a ).
thf(func_def_149,type,
sK80: set_a > a ).
thf(func_def_150,type,
sK81: refine787176636t_unit > refine787176636t_unit > product_unit ).
thf(func_def_151,type,
sK82: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_152,type,
sK83: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_153,type,
sK84: refine424419629nres_a > refine424419629nres_a > a ).
thf(func_def_154,type,
sK85: refine424419629nres_a > set_a ).
thf(func_def_155,type,
sK86: refine424419629nres_a > set_a ).
thf(func_def_156,type,
sK87: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_157,type,
sK88: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_158,type,
sK89: set_a > a > set_a ).
thf(func_def_159,type,
sK90: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_160,type,
sK91: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_161,type,
sK92: ( set_a > set_a ) > set_a ).
thf(func_def_162,type,
sK93: ( set_a > set_a ) > set_a ).
thf(func_def_163,type,
sK94: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_164,type,
sK95: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_165,type,
sK96: refine787176636t_unit > refine787176636t_unit > product_unit ).
thf(func_def_166,type,
sK97: refine787176636t_unit > product_unit ).
thf(func_def_167,type,
sK98: refine424419629nres_a > refine424419629nres_a > a ).
thf(func_def_168,type,
sK99: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_169,type,
sK100: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_170,type,
sK101: ( $o > refine424419629nres_a ) > ( ( $o > refine424419629nres_a ) > $o ) > $o > refine424419629nres_a ).
thf(func_def_171,type,
sK102: set_a > a > set_a ).
thf(func_def_172,type,
sK103: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_173,type,
sK104: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_174,type,
sK105: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_175,type,
sK106: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_176,type,
sK107: ( a > $o ) > a ).
thf(func_def_177,type,
sK108: refine787176636t_unit > refine787176636t_unit > product_unit ).
thf(func_def_178,type,
sK109: set_a > a ).
thf(func_def_179,type,
sK110: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_180,type,
sK111: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_181,type,
sK112: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_182,type,
sK113: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_183,type,
sK114: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_184,type,
sK115: ( refine787176636t_unit > $o ) > ( refine787176636t_unit > $o ) > refine787176636t_unit ).
thf(func_def_185,type,
sK116: refine787176636t_unit > ( refine787176636t_unit > $o ) > refine787176636t_unit ).
thf(func_def_186,type,
sK117: refine424419629nres_a > set_a ).
thf(func_def_187,type,
sK118: refine424419629nres_a > refine424419629nres_a > set_a ).
thf(func_def_188,type,
sK119: refine424419629nres_a > refine424419629nres_a > set_a ).
thf(func_def_189,type,
sK120: refine424419629nres_a > ( product_unit > refine424419629nres_a ) > refine787176636t_unit > product_unit ).
thf(func_def_190,type,
sK121: set_a > a ).
thf(func_def_191,type,
sK122: refine787176636t_unit > refine787176636t_unit > product_unit ).
thf(func_def_192,type,
sK123: ( a > refine424419629nres_a ) > ( a > refine424419629nres_a ) > refine424419629nres_a > a ).
thf(func_def_193,type,
sK124: ( a > refine787176636t_unit ) > refine787176636t_unit > refine424419629nres_a > a ).
thf(func_def_194,type,
sK125: ( product_unit > refine424419629nres_a ) > refine787176636t_unit > ( product_unit > refine424419629nres_a ) > product_unit ).
thf(func_def_195,type,
sK126: set_a > a ).
thf(func_def_196,type,
sK127: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_197,type,
sK128: ( refine424419629nres_a > $o ) > set_a ).
thf(func_def_198,type,
sK129: refine424419629nres_a > ( a > refine424419629nres_a ) > ( a > refine424419629nres_a ) > a ).
thf(func_def_199,type,
sK130: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_200,type,
sK131: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_201,type,
sK132: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_202,type,
sK133: refine787176636t_unit > ( product_unit > refine787176636t_unit ) > refine787176636t_unit > product_unit ).
thf(func_def_203,type,
sK134: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_204,type,
sK135: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_205,type,
sK136: ( set_a > set_a ) > set_a ).
thf(func_def_206,type,
sK137: ( set_a > set_a ) > set_a ).
thf(func_def_207,type,
sK138: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_208,type,
sK139: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_209,type,
sK140: set_Product_unit > set_Product_unit > product_unit ).
thf(func_def_210,type,
sK141: set_a > set_a > a ).
thf(func_def_211,type,
sK142: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_212,type,
sK143: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_213,type,
sK144: ( refine424419629nres_a > $o ) > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_214,type,
sK145: ( refine424419629nres_a > $o > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_215,type,
sK146: ( refine424419629nres_a > $o > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_216,type,
sK147: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_217,type,
sK148: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_218,type,
sK149: ( refine787176636t_unit > $o ) > refine787176636t_unit > refine787176636t_unit ).
thf(func_def_219,type,
sK150: ( product_unit > refine424419629nres_a ) > refine424419629nres_a > refine787176636t_unit > product_unit ).
thf(func_def_220,type,
sK151: ( a > refine787176636t_unit ) > refine424419629nres_a > a ).
thf(func_def_221,type,
sK152: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_222,type,
sK153: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_223,type,
sK154: ( a > refine424419629nres_a ) > refine424419629nres_a > refine424419629nres_a > a ).
thf(func_def_224,type,
sK155: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_225,type,
sK156: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_226,type,
sK157: ( product_unit > $o ) > set_Product_unit > product_unit ).
thf(func_def_227,type,
sK158: set_a > set_a > a > a > set_a ).
thf(func_def_228,type,
sK159: ( refine424419629nres_a > $o > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_229,type,
sK160: ( refine424419629nres_a > $o > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_230,type,
sK161: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_231,type,
sK162: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_232,type,
sK163: refine424419629nres_a > ( a > refine787176636t_unit ) > refine787176636t_unit > a ).
thf(func_def_233,type,
sK164: refine424419629nres_a > refine424419629nres_a > a ).
thf(func_def_234,type,
sK165: set_Product_unit > ( product_unit > $o ) > product_unit ).
thf(func_def_235,type,
sK166: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_236,type,
sK167: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_237,type,
sK168: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_238,type,
sK169: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_239,type,
sK170: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_240,type,
sK171: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_241,type,
sK172: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_242,type,
sK173: refine787176636t_unit > ( product_unit > refine787176636t_unit ) > ( product_unit > refine787176636t_unit ) > product_unit ).
thf(func_def_244,type,
inv_refine1198353288_RES_a_175: refine424419629nres_a > set_a ).
thf(f353,axiom,
! [X0: refine424419629nres_a,X1: refine424419629nres_a] :
( X1
= ( if_Ref1724547303nres_a @ $false @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_2_1_If_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_T) ).
thf(f354,axiom,
! [X0: refine424419629nres_a,X1: refine424419629nres_a] :
( X0
= ( if_Ref1724547303nres_a @ $true @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_1_1_If_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_T) ).
thf(f360,axiom,
( b
=> ( ord_le519537037nres_a @ s1 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f361,axiom,
( ~ b
=> ( ord_le519537037nres_a @ s2 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(f362,conjecture,
ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ b @ s1 @ s2 ) @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
thf(f363,negated_conjecture,
~ ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ b @ s1 @ s2 ) @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) ),
inference(negated_conjecture,[status(cth)],[f362]) ).
thf(f386,plain,
! [X0: refine424419629nres_a,X1: refine424419629nres_a] :
( X1
= ( if_Ref1724547303nres_a @ $false @ X0 @ X1 ) ),
inference(rectify,[],[f353]) ).
thf(f387,plain,
! [X0: refine424419629nres_a,X1: refine424419629nres_a] :
( ( if_Ref1724547303nres_a @ $false @ X0 @ X1 )
= X1 ),
inference(fool_elimination,[],[f386]) ).
thf(f504,plain,
~ ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ b @ s1 @ s2 ) @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) ),
inference(rectify,[],[f363]) ).
thf(f505,plain,
( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ b @ s1 @ s2 ) @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
!= $true ),
inference(fool_elimination,[],[f504]) ).
thf(f506,plain,
( ~ b
=> ( ord_le519537037nres_a @ s2 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) ) ),
inference(rectify,[],[f361]) ).
thf(f507,plain,
( ( b != $true )
=> ( ( ord_le519537037nres_a @ s2 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
= $true ) ),
inference(fool_elimination,[],[f506]) ).
thf(f716,plain,
! [X0: refine424419629nres_a,X1: refine424419629nres_a] :
( X0
= ( if_Ref1724547303nres_a @ $true @ X0 @ X1 ) ),
inference(rectify,[],[f354]) ).
thf(f717,plain,
! [X0: refine424419629nres_a,X1: refine424419629nres_a] :
( ( if_Ref1724547303nres_a @ $true @ X0 @ X1 )
= X0 ),
inference(fool_elimination,[],[f716]) ).
thf(f941,plain,
( b
=> ( ord_le519537037nres_a @ s1 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) ) ),
inference(rectify,[],[f360]) ).
thf(f942,plain,
( ( b = $true )
=> ( ( ord_le519537037nres_a @ s1 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
= $true ) ),
inference(fool_elimination,[],[f941]) ).
thf(f988,plain,
( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ b @ s1 @ s2 ) @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
!= $true ),
inference(flattening,[],[f505]) ).
thf(f989,plain,
( ( b != $true )
=> ( ( ord_le519537037nres_a @ s2 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
= $true ) ),
inference(flattening,[],[f507]) ).
thf(f1181,plain,
( ( b != $true )
| ( ( ord_le519537037nres_a @ s1 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
= $true ) ),
inference(ennf_transformation,[],[f942]) ).
thf(f1321,plain,
( ( ( ord_le519537037nres_a @ s2 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
= $true )
| ( b = $true ) ),
inference(ennf_transformation,[],[f989]) ).
thf(f1741,plain,
( ( b = $true )
| ( ( ord_le519537037nres_a @ s2 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
= $true ) ),
inference(cnf_transformation,[],[f1321]) ).
thf(f1853,plain,
( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ b @ s1 @ s2 ) @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
!= $true ),
inference(cnf_transformation,[],[f988]) ).
thf(f2117,plain,
! [X0: refine424419629nres_a,X1: refine424419629nres_a] :
( ( if_Ref1724547303nres_a @ $true @ X0 @ X1 )
= X0 ),
inference(cnf_transformation,[],[f717]) ).
thf(f2159,plain,
( ( ( ord_le519537037nres_a @ s1 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
= $true )
| ( b != $true ) ),
inference(cnf_transformation,[],[f1181]) ).
thf(f2299,plain,
! [X0: refine424419629nres_a,X1: refine424419629nres_a] :
( ( if_Ref1724547303nres_a @ $false @ X0 @ X1 )
= X1 ),
inference(cnf_transformation,[],[f387]) ).
thf(f2568,definition,
( spl174_2
<=> ( b = $true ) ),
introduced(definition,[new_symbols(definition,[spl174_2])],[avatar_definition]) ).
thf(f2569,plain,
( ( b != $true )
| spl174_2 ),
inference(avatar_component_clause,[],[f2568]) ).
thf(f2570,plain,
( ( b = $true )
| ~ spl174_2 ),
inference(avatar_component_clause,[],[f2568]) ).
thf(f2572,definition,
( spl174_3
<=> ( ( ord_le519537037nres_a @ s2 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl174_3])],[avatar_definition]) ).
thf(f2575,plain,
( spl174_2
| spl174_3 ),
inference(avatar_split_clause,[],[f1741,f2572,f2568]) ).
thf(f2627,definition,
( spl174_14
<=> ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ b @ s1 @ s2 ) @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl174_14])],[avatar_definition]) ).
thf(f2629,plain,
( ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ b @ s1 @ s2 ) @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
!= $true )
| spl174_14 ),
inference(avatar_component_clause,[],[f2627]) ).
thf(f2630,plain,
~ spl174_14,
inference(avatar_split_clause,[],[f1853,f2627]) ).
thf(f2662,definition,
( spl174_21
<=> ( ( ord_le519537037nres_a @ s1 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl174_21])],[avatar_definition]) ).
thf(f2664,plain,
( ( ( ord_le519537037nres_a @ s1 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
= $true )
| ~ spl174_21 ),
inference(avatar_component_clause,[],[f2662]) ).
thf(f2665,plain,
( spl174_21
| ~ spl174_2 ),
inference(avatar_split_clause,[],[f2159,f2568,f2662]) ).
thf(f2788,plain,
( ( $true != $true )
| ( b = $false )
| spl174_2 ),
inference(fool_paramodulation,[],[f2569]) ).
thf(f2789,plain,
( ( b = $false )
| spl174_2 ),
inference(trivial_inequality_removal,[],[f2788]) ).
thf(f2791,definition,
( spl174_46
<=> ( b = $false ) ),
introduced(definition,[new_symbols(definition,[spl174_46])],[avatar_definition]) ).
thf(f2793,plain,
( ( b = $false )
| ~ spl174_46 ),
inference(avatar_component_clause,[],[f2791]) ).
thf(f2794,plain,
( spl174_46
| spl174_2 ),
inference(avatar_split_clause,[],[f2789,f2568,f2791]) ).
thf(f2796,plain,
( ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ s1 @ s2 ) @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
!= $true )
| spl174_14
| ~ spl174_46 ),
inference(forward_demodulation,[],[f2629,f2793]) ).
thf(f2797,plain,
( ( ( ord_le519537037nres_a @ s2 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
!= $true )
| spl174_14
| ~ spl174_46 ),
inference(forward_demodulation,[],[f2796,f2299]) ).
thf(f2798,plain,
( ~ spl174_3
| spl174_14
| ~ spl174_46 ),
inference(avatar_split_clause,[],[f2797,f2791,f2627,f2572]) ).
thf(f2827,plain,
( ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ s1 @ s2 ) @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
!= $true )
| ~ spl174_2
| spl174_14 ),
inference(forward_demodulation,[],[f2629,f2570]) ).
thf(f2828,plain,
( ( ( ord_le519537037nres_a @ s1 @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) )
!= $true )
| ~ spl174_2
| spl174_14 ),
inference(forward_demodulation,[],[f2827,f2117]) ).
thf(f2829,plain,
( $false
| ~ spl174_2
| spl174_14
| ~ spl174_21 ),
inference(forward_subsumption_resolution,[],[f2828,f2664]) ).
thf(f2830,plain,
( ~ spl174_2
| spl174_14
| ~ spl174_21 ),
inference(avatar_contradiction_clause,[],[f2829]) ).
cnf(s2,plain,
( spl174_2
| spl174_3 ),
inference(sat_conversion,[],[f2575]) ).
cnf(s14,plain,
~ spl174_14,
inference(sat_conversion,[],[f2630]) ).
cnf(s24,plain,
( ~ spl174_2
| spl174_21 ),
inference(sat_conversion,[],[f2665]) ).
cnf(s63,plain,
( spl174_2
| spl174_46 ),
inference(sat_conversion,[],[f2794]) ).
cnf(s64,plain,
( ~ spl174_3
| spl174_14
| ~ spl174_46 ),
inference(sat_conversion,[],[f2798]) ).
cnf(s67,plain,
( ~ spl174_2
| spl174_14
| ~ spl174_21 ),
inference(sat_conversion,[],[f2830]) ).
cnf(s68,plain,
spl174_2,
inference(rat,[],[s64,s2,s63,s14]) ).
cnf(s69,plain,
~ spl174_21,
inference(rat,[],[s67,s14,s68]) ).
cnf(s70,plain,
$false,
inference(rat,[],[s24,s69,s68]) ).
thf(f2831,plain,
$false,
inference(avatar_sat_refutation,[],[s70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP165^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n015.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 20:07:49 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.21/0.30 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/0.46 % (4051217)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.32/0.46 % (4051228)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3045196444:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.32/0.46 % (4051228)Instruction limit reached!
% 0.32/0.46 % (4051228)------------------------------
% 0.32/0.46 % (4051228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.46 % (4051228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.46 % (4051228)CaDiCaL version: 2.1.3
% 0.32/0.46 % (4051228)Termination reason: Instruction limit
% 0.32/0.46 % (4051228)Termination phase: shuffling
% 0.32/0.46 % (4051226)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=434616568:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.32/0.46 % (4051228)Time elapsed: 0.003 s
% 0.32/0.46 % (4051228)Peak memory usage: 10 MB
% 0.32/0.46 % (4051228)Instructions burned: 5 (million)
% 0.32/0.46 % (4051227)lrs+10_16_si=on:nwc=1.5:random_seed=2458530910:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.32/0.46 % (4051232)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.32/0.46 % (4051232)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.32/0.46 % (4051227)Instruction limit reached!
% 0.32/0.46 % (4051227)------------------------------
% 0.32/0.46 % (4051227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.46 % (4051227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.46 % (4051227)CaDiCaL version: 2.1.3
% 0.32/0.46 % (4051227)Termination reason: Instruction limit
% 0.32/0.46 % (4051227)Termination phase: shuffling
% 0.32/0.46 % (4051227)Time elapsed: 0.010 s
% 0.32/0.46 % (4051227)Peak memory usage: 10 MB
% 0.32/0.46 % (4051227)Instructions burned: 18 (million)
% 0.32/0.46 % (4051229)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3905994707:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.32/0.46 % (4051232)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3381176488:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.32/0.46 % (4051230)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4250798063:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.32/0.46 % (4051231)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2917031837:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.32/0.46 % (4051245)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4034010885:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.32/0.46 % (4051230)Instruction limit reached!
% 0.32/0.46 % (4051230)------------------------------
% 0.32/0.46 % (4051230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.46 % (4051230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.46 % (4051230)CaDiCaL version: 2.1.3
% 0.32/0.46 % (4051230)Termination reason: Instruction limit
% 0.32/0.46 % (4051230)Termination phase: Property scanning
% 0.32/0.46 % (4051230)Time elapsed: 0.015 s
% 0.32/0.46 % (4051230)Peak memory usage: 10 MB
% 0.32/0.46 % (4051230)Instructions burned: 24 (million)
% 0.32/0.46 % (4051245)Instruction limit reached!
% 0.32/0.46 % (4051245)------------------------------
% 0.32/0.46 % (4051245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.46 % (4051245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.46 % (4051245)CaDiCaL version: 2.1.3
% 0.32/0.46 % (4051245)Termination reason: Instruction limit
% 0.32/0.46 % (4051245)Termination phase: shuffling
% 0.32/0.46 % (4051245)Time elapsed: 0.003 s
% 0.32/0.46 % (4051245)Peak memory usage: 10 MB
% 0.32/0.46 % (4051245)Instructions burned: 6 (million)
% 0.32/0.46 % (4051241)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2620965014:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.32/0.46 % (4051241)Instruction limit reached!
% 0.32/0.46 % (4051241)------------------------------
% 0.32/0.46 % (4051241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.46 % (4051241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.46 % (4051241)CaDiCaL version: 2.1.3
% 0.32/0.46 % (4051241)Termination reason: Instruction limit
% 0.32/0.46 % (4051241)Termination phase: shuffling
% 0.32/0.46 % (4051241)Time elapsed: 0.002 s
% 0.32/0.46 % (4051241)Peak memory usage: 10 MB
% 0.32/0.46 % (4051241)Instructions burned: 3 (million)
% 0.32/0.46 % (4051251)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.32/0.46 % (4051251)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2659726523:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.32/0.46 % (4051254)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.32/0.46 % (4051254)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.32/0.46 % (4051251)Instruction limit reached!
% 0.32/0.46 % (4051251)------------------------------
% 0.32/0.46 % (4051251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.46 % (4051251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.46 % (4051251)CaDiCaL version: 2.1.3
% 0.32/0.46 % (4051251)Termination reason: Instruction limit
% 0.32/0.46 % (4051251)Termination phase: shuffling
% 0.32/0.46 % (4051251)Time elapsed: 0.004 s
% 0.32/0.46 % (4051251)Peak memory usage: 10 MB
% 0.32/0.46 % (4051251)Instructions burned: 7 (million)
% 0.32/0.46 % (4051226)Instruction limit reached!
% 0.32/0.46 % (4051226)------------------------------
% 0.32/0.46 % (4051226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.46 % (4051226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.46 % (4051226)CaDiCaL version: 2.1.3
% 0.32/0.46 % (4051226)Termination reason: Instruction limit
% 0.32/0.46 % (4051226)Termination phase: Function definition elimination
% 0.32/0.46 % (4051226)Time elapsed: 0.060 s
% 0.32/0.46 % (4051226)Peak memory usage: 12 MB
% 0.32/0.46 % (4051226)Instructions burned: 88 (million)
% 0.32/0.46 % (4051254)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=340688667:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.32/0.46 % (4051252)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1218241605:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.32/0.46 % (4051254)Instruction limit reached!
% 0.32/0.46 % (4051254)------------------------------
% 0.32/0.46 % (4051254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.46 % (4051254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.46 % (4051254)CaDiCaL version: 2.1.3
% 0.32/0.46 % (4051254)Termination reason: Instruction limit
% 0.32/0.46 % (4051254)Termination phase: shuffling
% 0.32/0.46 % (4051254)Time elapsed: 0.014 s
% 0.32/0.46 % (4051254)Peak memory usage: 10 MB
% 0.32/0.46 % (4051254)Instructions burned: 30 (million)
% 0.32/0.46 % (4051256)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1012896506:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 0.32/0.46 % (4051231)Instruction limit reached!
% 0.32/0.46 % (4051231)------------------------------
% 0.32/0.46 % (4051231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.46 % (4051231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.46 % (4051231)CaDiCaL version: 2.1.3
% 0.32/0.46 % (4051231)Termination reason: Instruction limit
% 0.32/0.46 % (4051231)Termination phase: Property scanning
% 0.32/0.46 % (4051231)Time elapsed: 0.058 s
% 0.32/0.46 % (4051231)Peak memory usage: 12 MB
% 0.32/0.46 % (4051231)Instructions burned: 75 (million)
% 0.32/0.46 % (4051252)Instruction limit reached!
% 0.32/0.46 % (4051252)------------------------------
% 0.32/0.46 % (4051252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.46 % (4051252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.46 % (4051252)CaDiCaL version: 2.1.3
% 0.32/0.46 % (4051252)Termination reason: Instruction limit
% 0.32/0.46 % (4051252)Termination phase: shuffling
% 0.32/0.46 % (4051252)Time elapsed: 0.012 s
% 0.32/0.46 % (4051252)Peak memory usage: 10 MB
% 0.32/0.46 % (4051252)Instructions burned: 13 (million)
% 0.32/0.46 % (4051257)lrs+10_1_si=on:cs=on:random_seed=3887305551:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.32/0.46 % (4051260)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.32/0.46 % (4051229) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4051217-4051229"...
% 0.32/0.46 % (4051257)Instruction limit reached!
% 0.32/0.46 % (4051257)------------------------------
% 0.32/0.46 % (4051257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.46 % (4051257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.46 % (4051257)CaDiCaL version: 2.1.3
% 0.32/0.46 % (4051257)Termination reason: Instruction limit
% 0.32/0.46 % (4051257)Termination phase: shuffling
% 0.32/0.46 % (4051257)Time elapsed: 0.005 s
% 0.32/0.46 % (4051257)Peak memory usage: 10 MB
% 0.32/0.46 % (4051257)Instructions burned: 9 (million)
% 0.32/0.46 % (4051260)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=3036097665:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.32/0.46 % (4051229)...printing done.
% 0.32/0.46 % (4051229)Refutation found. Thanks to Tanya!
% 0.32/0.46 % SZS status Theorem for theBenchmark
% 0.32/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.32/0.47 % (4051229)------------------------------
% 0.32/0.47 % (4051229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.47 % (4051229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.47 % (4051229)CaDiCaL version: 2.1.3
% 0.32/0.47 % (4051229)Termination reason: Refutation
% 0.32/0.47 % (4051229)Time elapsed: 0.079 s
% 0.32/0.47 % (4051229)Peak memory usage: 15 MB
% 0.32/0.47 % (4051229)Instructions burned: 161 (million)
% 0.32/0.47 % (4051217)Success in time 0.157 s
% 0.32/0.47 % Vampire exiting
%------------------------------------------------------------------------------