%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP167^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 2.06s 0.65s
% Output : Refutation 2.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 11
% Syntax : Number of formulae : 101 ( 8 unt; 0 typ; 6 def)
% Number of atoms : 704 ( 120 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 984 ( 99 ~; 100 |; 17 &; 748 @)
% ( 7 <=>; 12 =>; 0 <=; 1 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 14 ( 13 usr)
% Number of type conns : 252 ( 252 >; 0 *; 0 +; 0 <<)
% Number of symbols : 259 ( 256 usr; 12 con; 0-8 aty)
% Number of variables : 115 ( 0 sgn 115 !; 0 ?; 115 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr1148378109ar_int: $tType ).
thf(type_def_6,type,
set_Pr866150653nt_com: $tType ).
thf(type_def_7,type,
produc1260470173ar_int: $tType ).
thf(type_def_8,type,
produc1166363805nt_com: $tType ).
thf(type_def_9,type,
set_set_nat: $tType ).
thf(type_def_10,type,
list_char: $tType ).
thf(type_def_11,type,
set_nat: $tType ).
thf(type_def_12,type,
set_o: $tType ).
thf(type_def_13,type,
bexp: $tType ).
thf(type_def_14,type,
aexp: $tType ).
thf(type_def_15,type,
nat: $tType ).
thf(type_def_16,type,
int: $tType ).
thf(type_def_17,type,
com: $tType ).
thf(type_def_18,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
aval: aexp > ( list_char > int ) > int ).
thf(func_def_1,type,
bval: bexp > ( list_char > int ) > $o ).
thf(func_def_2,type,
big_big_step: produc1260470173ar_int > ( list_char > int ) > $o ).
thf(func_def_3,type,
assign: list_char > aexp > com ).
thf(func_def_4,type,
if: bexp > com > com > com ).
thf(func_def_5,type,
skip: com ).
thf(func_def_6,type,
seq: com > com > com ).
thf(func_def_7,type,
while: bexp > com > com ).
thf(func_def_8,type,
size_com: com > nat ).
thf(func_def_9,type,
fun_up103088396ar_int: ( list_char > int ) > list_char > int > list_char > int ).
thf(func_def_10,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_11,type,
zero_zero_nat: nat ).
thf(func_def_12,type,
if_int: $o > int > int > int ).
thf(func_def_13,type,
suc: nat > nat ).
thf(func_def_14,type,
size_size_com: com > nat ).
thf(func_def_15,type,
produc1139835093nt_com: ( list_char > int ) > com > produc1166363805nt_com ).
thf(func_def_16,type,
produc1193801173ar_int: com > ( list_char > int ) > produc1260470173ar_int ).
thf(func_def_17,type,
produc1803493327_com_o: ( produc1166363805nt_com > $o ) > ( list_char > int ) > com > $o ).
thf(func_def_18,type,
produc1858366159_int_o: ( produc1260470173ar_int > $o ) > com > ( list_char > int ) > $o ).
thf(func_def_19,type,
produc763543641nt_nat: ( produc1260470173ar_int > nat ) > com > ( list_char > int ) > nat ).
thf(func_def_20,type,
produc804153044ar_int: ( produc1260470173ar_int > produc1260470173ar_int ) > com > ( list_char > int ) > produc1260470173ar_int ).
thf(func_def_21,type,
produc1791150095et_nat: ( produc1260470173ar_int > set_nat ) > com > ( list_char > int ) > set_nat ).
thf(func_def_22,type,
produc9062872_int_o: ( com > ( list_char > int ) > $o ) > produc1260470173ar_int > $o ).
thf(func_def_23,type,
produc641693072nt_nat: ( com > ( list_char > int ) > nat ) > produc1260470173ar_int > nat ).
thf(func_def_24,type,
produc837840349ar_int: ( com > ( list_char > int ) > produc1260470173ar_int ) > produc1260470173ar_int > produc1260470173ar_int ).
thf(func_def_25,type,
produc857153862et_nat: ( com > ( list_char > int ) > set_nat ) > produc1260470173ar_int > set_nat ).
thf(func_def_26,type,
produc613711406_com_o: ( ( list_char > int ) > com > $o ) > produc1166363805nt_com > $o ).
thf(func_def_27,type,
produc1263502010om_nat: ( ( list_char > int ) > com > nat ) > produc1166363805nt_com > nat ).
thf(func_def_28,type,
produc1676975923nt_com: ( ( list_char > int ) > com > produc1166363805nt_com ) > produc1166363805nt_com > produc1166363805nt_com ).
thf(func_def_29,type,
produc1771082291ar_int: ( ( list_char > int ) > com > produc1260470173ar_int ) > produc1166363805nt_com > produc1260470173ar_int ).
thf(func_def_30,type,
produc1754105456et_nat: ( ( list_char > int ) > com > set_nat ) > produc1166363805nt_com > set_nat ).
thf(func_def_31,type,
produc1179280275nt_com: ( ( list_char > int ) > com > set_Pr866150653nt_com ) > produc1166363805nt_com > set_Pr866150653nt_com ).
thf(func_def_32,type,
produc1461507731ar_int: ( ( list_char > int ) > com > set_Pr1148378109ar_int ) > produc1166363805nt_com > set_Pr1148378109ar_int ).
thf(func_def_33,type,
produc668584238_int_o: ( com > ( list_char > int ) > $o ) > produc1260470173ar_int > $o ).
thf(func_def_34,type,
produc1311963066nt_nat: ( com > ( list_char > int ) > nat ) > produc1260470173ar_int > nat ).
thf(func_def_35,type,
produc1194453555nt_com: ( com > ( list_char > int ) > produc1166363805nt_com ) > produc1260470173ar_int > produc1166363805nt_com ).
thf(func_def_36,type,
produc1288559923ar_int: ( com > ( list_char > int ) > produc1260470173ar_int ) > produc1260470173ar_int > produc1260470173ar_int ).
thf(func_def_37,type,
produc991755120et_nat: ( com > ( list_char > int ) > set_nat ) > produc1260470173ar_int > set_nat ).
thf(func_def_38,type,
produc1994108563nt_com: ( com > ( list_char > int ) > set_Pr866150653nt_com ) > produc1260470173ar_int > set_Pr866150653nt_com ).
thf(func_def_39,type,
produc128852371ar_int: ( com > ( list_char > int ) > set_Pr1148378109ar_int ) > produc1260470173ar_int > set_Pr1148378109ar_int ).
thf(func_def_40,type,
produc1716235893nt_com: produc1166363805nt_com > produc1260470173ar_int ).
thf(func_def_41,type,
produc1770201973ar_int: produc1260470173ar_int > produc1166363805nt_com ).
thf(func_def_42,type,
relati1310524937decomp: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > ( list_char > int ) > ( list_char > int ) > $o ).
thf(func_def_43,type,
relati186416454e_flip: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( list_char > int ) > ( list_char > int ) > $o ).
thf(func_def_44,type,
relati23543761ar_int: ( ( list_char > int ) > ( list_char > int ) > $o ) > bexp > com > nat > ( list_char > int ) > ( list_char > int ) > $o ).
thf(func_def_45,type,
relati2102071307_hoare: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > $o ).
thf(func_def_46,type,
relati775585786_valid: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > $o ).
thf(func_def_47,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(func_def_48,type,
collec676690312nt_com: ( produc1166363805nt_com > $o ) > set_Pr866150653nt_com ).
thf(func_def_49,type,
collec770796680ar_int: ( produc1260470173ar_int > $o ) > set_Pr1148378109ar_int ).
thf(func_def_50,type,
image_nat_nat: ( nat > nat ) > set_nat > set_nat ).
thf(func_def_51,type,
image_244615942nt_com: ( nat > produc1166363805nt_com ) > set_nat > set_Pr866150653nt_com ).
thf(func_def_52,type,
image_338722310ar_int: ( nat > produc1260470173ar_int ) > set_nat > set_Pr1148378109ar_int ).
thf(func_def_53,type,
image_596692520om_nat: ( produc1166363805nt_com > nat ) > set_Pr866150653nt_com > set_nat ).
thf(func_def_54,type,
image_1874758725nt_com: ( produc1166363805nt_com > produc1166363805nt_com ) > set_Pr866150653nt_com > set_Pr866150653nt_com ).
thf(func_def_55,type,
image_1968865093ar_int: ( produc1166363805nt_com > produc1260470173ar_int ) > set_Pr866150653nt_com > set_Pr1148378109ar_int ).
thf(func_def_56,type,
image_522938432_int_o: ( produc1260470173ar_int > $o ) > set_Pr1148378109ar_int > set_o ).
thf(func_def_57,type,
image_1742782760nt_nat: ( produc1260470173ar_int > nat ) > set_Pr1148378109ar_int > set_nat ).
thf(func_def_58,type,
image_786684229nt_com: ( produc1260470173ar_int > produc1166363805nt_com ) > set_Pr1148378109ar_int > set_Pr866150653nt_com ).
thf(func_def_59,type,
image_880790597ar_int: ( produc1260470173ar_int > produc1260470173ar_int ) > set_Pr1148378109ar_int > set_Pr1148378109ar_int ).
thf(func_def_60,type,
image_989727966et_nat: ( produc1260470173ar_int > set_nat ) > set_Pr1148378109ar_int > set_set_nat ).
thf(func_def_61,type,
member_o: $o > set_o > $o ).
thf(func_def_62,type,
member_nat: nat > set_nat > $o ).
thf(func_def_63,type,
member2145628230nt_com: produc1166363805nt_com > set_Pr866150653nt_com > $o ).
thf(func_def_64,type,
member92250950ar_int: produc1260470173ar_int > set_Pr1148378109ar_int > $o ).
thf(func_def_65,type,
member_set_nat: set_nat > set_set_nat > $o ).
thf(func_def_66,type,
p: ( list_char > int ) > ( list_char > int ) > $o ).
thf(func_def_67,type,
q: ( list_char > int ) > ( list_char > int ) > $o ).
thf(func_def_68,type,
c: com ).
thf(func_def_69,type,
c2: com ).
thf(func_def_73,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_74,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_75,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_76,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_77,type,
vAND: $o > $o > $o ).
thf(func_def_78,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_79,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_80,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_81,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_82,type,
vNOT: $o > $o ).
thf(func_def_83,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_84,type,
vIMP: $o > $o > $o ).
thf(func_def_85,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_86,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_87,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_88,type,
vOR: $o > $o > $o ).
thf(func_def_89,type,
sP0: ( com > $o ) > $o ).
thf(func_def_90,type,
sK1: produc1166363805nt_com > ( ( list_char > int ) > com > set_Pr866150653nt_com ) > produc1166363805nt_com > com ).
thf(func_def_91,type,
sK2: produc1166363805nt_com > ( ( list_char > int ) > com > set_Pr866150653nt_com ) > produc1166363805nt_com > list_char > int ).
thf(func_def_92,type,
sK3: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_93,type,
sK4: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_94,type,
sK5: bexp > ( list_char > int ) > ( list_char > int ) > com > list_char > int ).
thf(func_def_95,type,
sK6: nat > set_Pr1148378109ar_int > ( produc1260470173ar_int > nat ) > produc1260470173ar_int ).
thf(func_def_96,type,
sK7: set_nat > ( nat > $o ) > ( nat > nat ) > nat ).
thf(func_def_97,type,
sK8: ( com > ( list_char > int ) > produc1260470173ar_int ) > ( produc1260470173ar_int > produc1260470173ar_int ) > list_char > int ).
thf(func_def_98,type,
sK9: ( com > ( list_char > int ) > produc1260470173ar_int ) > ( produc1260470173ar_int > produc1260470173ar_int ) > com ).
thf(func_def_99,type,
sK10: ( produc1260470173ar_int > $o ) > ( com > ( list_char > int ) > $o ) > com ).
thf(func_def_100,type,
sK11: ( produc1260470173ar_int > $o ) > ( com > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_101,type,
sK12: ( produc1260470173ar_int > produc1166363805nt_com ) > ( produc1166363805nt_com > $o ) > set_Pr1148378109ar_int > produc1260470173ar_int ).
thf(func_def_102,type,
sK13: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_103,type,
sK14: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_104,type,
sK15: nat > nat ).
thf(func_def_105,type,
sK16: nat > com > ( list_char > int ) > bexp > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > ( list_char > int ) > com > list_char > int ).
thf(func_def_106,type,
sK17: nat > com > ( list_char > int ) > bexp > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > ( list_char > int ) > com > list_char > int ).
thf(func_def_107,type,
sK18: nat > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > bexp > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > com > list_char > int ).
thf(func_def_108,type,
sK19: nat > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > bexp > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > com > list_char > int ).
thf(func_def_109,type,
sK20: nat > bexp > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > com > list_char > int ).
thf(func_def_110,type,
sK21: nat > bexp > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > com > list_char > int ).
thf(func_def_111,type,
sK22: nat > bexp > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > com > nat ).
thf(func_def_112,type,
sK23: produc1260470173ar_int > com ).
thf(func_def_113,type,
sK24: produc1260470173ar_int > list_char > int ).
thf(func_def_114,type,
sK25: produc1260470173ar_int > ( com > ( list_char > int ) > $o ) > com ).
thf(func_def_115,type,
sK26: produc1260470173ar_int > ( com > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_116,type,
sK27: ( produc1260470173ar_int > nat ) > set_Pr1148378109ar_int > ( nat > $o ) > produc1260470173ar_int ).
thf(func_def_117,type,
sK28: com > com > list_char > int ).
thf(func_def_118,type,
sK29: com > com > list_char > int ).
thf(func_def_119,type,
sK30: ( produc1166363805nt_com > $o ) > com ).
thf(func_def_120,type,
sK31: ( produc1166363805nt_com > $o ) > list_char > int ).
thf(func_def_121,type,
sK32: ( com > $o ) > com ).
thf(func_def_122,type,
sK33: ( com > $o ) > com ).
thf(func_def_123,type,
sK34: ( com > $o ) > bexp ).
thf(func_def_124,type,
sK35: ( com > $o ) > com ).
thf(func_def_125,type,
sK36: ( com > $o ) > com ).
thf(func_def_126,type,
sK37: ( com > $o ) > aexp ).
thf(func_def_127,type,
sK38: ( com > $o ) > list_char ).
thf(func_def_128,type,
sK39: ( com > $o ) > com ).
thf(func_def_129,type,
sK40: ( com > $o ) > bexp ).
thf(func_def_130,type,
sK41: ( nat > $o ) > nat ).
thf(func_def_131,type,
sK42: produc1166363805nt_com > list_char > int ).
thf(func_def_132,type,
sK43: produc1166363805nt_com > com ).
thf(func_def_133,type,
sK44: ( produc1260470173ar_int > $o ) > list_char > int ).
thf(func_def_134,type,
sK45: ( produc1260470173ar_int > $o ) > com ).
thf(func_def_135,type,
sK46: ( produc1166363805nt_com > $o ) > list_char > int ).
thf(func_def_136,type,
sK47: ( produc1166363805nt_com > $o ) > com ).
thf(func_def_137,type,
sK48: ( produc1260470173ar_int > produc1166363805nt_com ) > set_Pr1148378109ar_int > ( produc1260470173ar_int > produc1166363805nt_com ) > produc1260470173ar_int ).
thf(func_def_138,type,
sK49: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_139,type,
sK50: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_140,type,
sK51: com > com > list_char > int ).
thf(func_def_141,type,
sK52: com > com > list_char > int ).
thf(func_def_142,type,
sK53: com > com > list_char > int ).
thf(func_def_143,type,
sK54: com > com > list_char > int ).
thf(func_def_144,type,
sK55: ( produc1260470173ar_int > $o ) > produc1260470173ar_int > ( com > ( list_char > int ) > produc1260470173ar_int ) > list_char > int ).
thf(func_def_145,type,
sK56: ( produc1260470173ar_int > $o ) > produc1260470173ar_int > ( com > ( list_char > int ) > produc1260470173ar_int ) > com ).
thf(func_def_146,type,
sK57: ( produc1260470173ar_int > $o ) > ( produc1166363805nt_com > produc1260470173ar_int ) > set_Pr866150653nt_com > produc1260470173ar_int ).
thf(func_def_147,type,
sK58: nat > nat ).
thf(func_def_148,type,
sK59: ( com > ( list_char > int ) > $o ) > produc1260470173ar_int > ( $o > $o ) > com ).
thf(func_def_149,type,
sK60: ( com > ( list_char > int ) > $o ) > produc1260470173ar_int > ( $o > $o ) > list_char > int ).
thf(func_def_150,type,
sK61: ( list_char > int ) > aexp > list_char > ( ( list_char > int ) > ( list_char > int ) > $o ) > ( list_char > int ) > com > list_char > int ).
thf(func_def_151,type,
sK62: ( list_char > int ) > aexp > list_char > ( ( list_char > int ) > ( list_char > int ) > $o ) > ( list_char > int ) > com > int ).
thf(func_def_152,type,
sK63: com > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > bexp > nat ).
thf(func_def_153,type,
sK64: ( nat > $o ) > set_nat > ( nat > nat ) > nat ).
thf(func_def_154,type,
sK65: nat > set_nat > ( nat > nat ) > nat ).
thf(func_def_155,type,
sK66: produc1260470173ar_int > ( com > ( list_char > int ) > set_Pr866150653nt_com ) > produc1166363805nt_com > list_char > int ).
thf(func_def_156,type,
sK67: produc1260470173ar_int > ( com > ( list_char > int ) > set_Pr866150653nt_com ) > produc1166363805nt_com > com ).
thf(func_def_157,type,
sK68: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > com > list_char > int ).
thf(func_def_158,type,
sK69: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > com > list_char > int ).
thf(func_def_159,type,
sK70: ( produc1260470173ar_int > nat ) > ( com > ( list_char > int ) > nat ) > com ).
thf(func_def_160,type,
sK71: ( produc1260470173ar_int > nat ) > ( com > ( list_char > int ) > nat ) > list_char > int ).
thf(func_def_161,type,
sK72: nat > produc1260470173ar_int > ( com > ( list_char > int ) > set_nat ) > com ).
thf(func_def_162,type,
sK73: nat > produc1260470173ar_int > ( com > ( list_char > int ) > set_nat ) > list_char > int ).
thf(func_def_163,type,
sK74: ( produc1166363805nt_com > produc1260470173ar_int ) > set_Pr866150653nt_com > ( produc1166363805nt_com > produc1260470173ar_int ) > produc1166363805nt_com ).
thf(func_def_164,type,
sK75: produc1166363805nt_com > ( produc1260470173ar_int > produc1166363805nt_com ) > set_Pr1148378109ar_int > produc1260470173ar_int ).
thf(func_def_165,type,
sK76: produc1260470173ar_int > ( com > ( list_char > int ) > set_nat ) > ( set_nat > $o ) > com ).
thf(func_def_166,type,
sK77: produc1260470173ar_int > ( com > ( list_char > int ) > set_nat ) > ( set_nat > $o ) > list_char > int ).
thf(func_def_167,type,
sK78: ( com > ( list_char > int ) > set_nat ) > ( produc1260470173ar_int > set_nat ) > com ).
thf(func_def_168,type,
sK79: ( com > ( list_char > int ) > set_nat ) > ( produc1260470173ar_int > set_nat ) > list_char > int ).
thf(func_def_169,type,
sK80: ( com > ( list_char > int ) > set_Pr866150653nt_com ) > produc1260470173ar_int > produc1166363805nt_com > com ).
thf(func_def_170,type,
sK81: ( com > ( list_char > int ) > set_Pr866150653nt_com ) > produc1260470173ar_int > produc1166363805nt_com > list_char > int ).
thf(func_def_171,type,
sK82: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_172,type,
sK83: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_173,type,
sK84: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_174,type,
sK85: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_175,type,
sK86: ( com > ( list_char > int ) > set_nat ) > produc1260470173ar_int > nat > list_char > int ).
thf(func_def_176,type,
sK87: ( com > ( list_char > int ) > set_nat ) > produc1260470173ar_int > nat > com ).
thf(func_def_177,type,
sK88: produc1260470173ar_int > ( produc1166363805nt_com > produc1260470173ar_int ) > set_Pr866150653nt_com > produc1166363805nt_com ).
thf(func_def_178,type,
sK89: ( produc1166363805nt_com > produc1260470173ar_int ) > ( produc1260470173ar_int > $o ) > set_Pr866150653nt_com > produc1166363805nt_com ).
thf(func_def_179,type,
sK90: ( nat > $o ) > nat ).
thf(func_def_180,type,
sK91: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > com > list_char > int ).
thf(func_def_181,type,
sK92: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > com > list_char > int ).
thf(func_def_182,type,
sK93: ( ( list_char > int ) > com > set_nat ) > produc1166363805nt_com > nat > list_char > int ).
thf(func_def_183,type,
sK94: ( ( list_char > int ) > com > set_nat ) > produc1166363805nt_com > nat > com ).
thf(func_def_184,type,
sK95: produc1166363805nt_com > ( ( list_char > int ) > com > $o ) > list_char > int ).
thf(func_def_185,type,
sK96: produc1166363805nt_com > ( ( list_char > int ) > com > $o ) > com ).
thf(func_def_186,type,
sK97: com > com > list_char > int ).
thf(func_def_187,type,
sK98: com > com > list_char > int ).
thf(func_def_188,type,
sK99: produc1260470173ar_int > ( nat > $o ) > ( com > ( list_char > int ) > nat ) > list_char > int ).
thf(func_def_189,type,
sK100: produc1260470173ar_int > ( nat > $o ) > ( com > ( list_char > int ) > nat ) > com ).
thf(func_def_190,type,
sK101: ( ( list_char > int ) > com > set_nat ) > nat > produc1166363805nt_com > list_char > int ).
thf(func_def_191,type,
sK102: ( ( list_char > int ) > com > set_nat ) > nat > produc1166363805nt_com > com ).
thf(func_def_192,type,
sK103: ( produc1260470173ar_int > $o ) > com ).
thf(func_def_193,type,
sK104: ( produc1260470173ar_int > $o ) > list_char > int ).
thf(func_def_194,type,
sK105: bexp > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > com > nat ).
thf(func_def_195,type,
sK106: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_196,type,
sK107: produc1260470173ar_int > ( com > ( list_char > int ) > $o ) > com ).
thf(func_def_197,type,
sK108: produc1260470173ar_int > ( com > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_198,type,
sK109: set_Pr1148378109ar_int > ( nat > $o ) > ( produc1260470173ar_int > nat ) > nat ).
thf(func_def_199,type,
sK110: ( produc1260470173ar_int > nat ) > set_Pr1148378109ar_int > ( produc1260470173ar_int > nat ) > produc1260470173ar_int ).
thf(func_def_200,type,
sK111: com > list_char ).
thf(func_def_201,type,
sK112: com > aexp ).
thf(func_def_202,type,
sK113: com > com ).
thf(func_def_203,type,
sK114: com > bexp ).
thf(func_def_204,type,
sK115: com > com ).
thf(func_def_205,type,
sK116: com > com ).
thf(func_def_206,type,
sK117: com > bexp ).
thf(func_def_207,type,
sK118: com > com ).
thf(func_def_208,type,
sK119: com > com ).
thf(func_def_209,type,
sK120: produc1260470173ar_int > ( ( list_char > int ) > com > set_Pr1148378109ar_int ) > produc1166363805nt_com > list_char > int ).
thf(func_def_210,type,
sK121: produc1260470173ar_int > ( ( list_char > int ) > com > set_Pr1148378109ar_int ) > produc1166363805nt_com > com ).
thf(func_def_211,type,
sK122: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).
thf(func_def_212,type,
sK123: set_nat > nat > ( nat > nat ) > nat ).
thf(func_def_213,type,
sK124: ( ( list_char > int ) > com > set_Pr1148378109ar_int ) > produc1260470173ar_int > produc1166363805nt_com > com ).
thf(func_def_214,type,
sK125: ( ( list_char > int ) > com > set_Pr1148378109ar_int ) > produc1260470173ar_int > produc1166363805nt_com > list_char > int ).
thf(func_def_215,type,
sK126: produc1166363805nt_com > produc1166363805nt_com > ( ( list_char > int ) > com > set_Pr866150653nt_com ) > com ).
thf(func_def_216,type,
sK127: produc1166363805nt_com > produc1166363805nt_com > ( ( list_char > int ) > com > set_Pr866150653nt_com ) > list_char > int ).
thf(func_def_217,type,
sK128: produc1260470173ar_int > ( com > ( list_char > int ) > set_Pr1148378109ar_int ) > produc1260470173ar_int > list_char > int ).
thf(func_def_218,type,
sK129: produc1260470173ar_int > ( com > ( list_char > int ) > set_Pr1148378109ar_int ) > produc1260470173ar_int > com ).
thf(func_def_219,type,
sK130: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_220,type,
sK131: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_221,type,
sK132: produc1260470173ar_int > produc1260470173ar_int > ( com > ( list_char > int ) > set_Pr1148378109ar_int ) > list_char > int ).
thf(func_def_222,type,
sK133: produc1260470173ar_int > produc1260470173ar_int > ( com > ( list_char > int ) > set_Pr1148378109ar_int ) > com ).
thf(func_def_223,type,
sK134: ( nat > $o ) > nat ).
thf(func_def_224,type,
sK135: ( nat > nat > $o ) > nat ).
thf(func_def_225,type,
sK136: ( nat > nat > $o ) > nat ).
thf(func_def_226,type,
sK137: ( nat > nat > $o ) > nat ).
thf(func_def_227,type,
sK138: ( nat > nat > $o ) > nat ).
thf(func_def_228,type,
sK139: ( nat > nat > $o ) > nat ).
thf(func_def_229,type,
sK140: ( nat > nat > $o ) > nat ).
thf(func_def_230,type,
sK141: ( nat > nat > $o ) > nat ).
thf(func_def_231,type,
sK142: ( nat > nat > $o ) > nat ).
thf(func_def_232,type,
sK143: ( nat > nat > $o ) > nat ).
thf(func_def_233,type,
sK144: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_234,type,
sK145: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_235,type,
sK146: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_236,type,
sK147: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_237,type,
sK148: produc1260470173ar_int > com ).
thf(func_def_238,type,
sK149: produc1260470173ar_int > list_char > int ).
thf(func_def_239,type,
sK150: produc1166363805nt_com > list_char > int ).
thf(func_def_240,type,
sK151: produc1166363805nt_com > com ).
thf(func_def_241,type,
sK152: ( produc1166363805nt_com > $o ) > set_Pr1148378109ar_int > ( produc1260470173ar_int > produc1166363805nt_com ) > produc1166363805nt_com ).
thf(func_def_242,type,
sK153: ( list_char > int ) > ( list_char > int ) > com > com > list_char > int ).
thf(func_def_243,type,
sK154: ( ( list_char > int ) > com > $o ) > produc1166363805nt_com > list_char > int ).
thf(func_def_244,type,
sK155: ( ( list_char > int ) > com > $o ) > produc1166363805nt_com > com ).
thf(func_def_245,type,
sK156: com > com > list_char > int ).
thf(func_def_246,type,
sK157: com > com > list_char > int ).
thf(func_def_247,type,
sK158: com > com > list_char > int ).
thf(func_def_248,type,
sK159: com > com > list_char > int ).
thf(func_def_250,type,
inv_suc_161: nat > nat ).
thf(func_def_251,type,
sK162: ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char ).
thf(func_def_252,type,
sK163: ( list_char > int ) > int > list_char > ( list_char > int ) > int > list_char ).
thf(f1,axiom,
! [X2: com,X1: com,X0: ( list_char > int ) > ( list_char > int ) > $o,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati2102071307_hoare @ X0 @ X1 @ X2 @ X3 )
=> ( relati775585786_valid @ X0 @ X1 @ X2 @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_soundness) ).
thf(f2,axiom,
! [X1: com,X3: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X0: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ X0 @ X1 @ X2 @ X3 )
=> ( relati2102071307_hoare @ X0 @ X1 @ X2 @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_completeness) ).
thf(f9,axiom,
! [X1: com,X2: com,X0: ( list_char > int ) > ( list_char > int ) > $o,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ X0 @ X1 @ X2 @ X3 )
=> ( ( relati775585786_valid @ X0 @ X1 @ skip @ ( relati1310524937decomp @ X0 @ X1 @ X2 @ X3 ) )
& ( relati775585786_valid @ ( relati1310524937decomp @ X0 @ X1 @ X2 @ X3 ) @ skip @ X2 @ X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_ir__valid__decomp1) ).
thf(f10,axiom,
! [X3: com,X2: ( list_char > int ) > ( list_char > int ) > $o,X0: ( list_char > int ) > ( list_char > int ) > $o,X4: ( list_char > int ) > ( list_char > int ) > $o,X1: com] :
( ( ( relati775585786_valid @ X0 @ X1 @ skip @ X2 )
& ( relati775585786_valid @ X2 @ skip @ X3 @ X4 ) )
=> ( relati775585786_valid @ X0 @ X1 @ X3 @ X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_ir__valid__decomp2) ).
thf(f356,conjecture,
( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
& ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
= ( relati2102071307_hoare @ p @ c @ c2 @ q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f357,negated_conjecture,
~ ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
& ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
= ( relati2102071307_hoare @ p @ c @ c2 @ q ) ) ),
inference(negated_conjecture,[status(cth)],[f356]) ).
thf(f462,plain,
! [X0: com,X1: com,X2: ( list_char > int ) > ( list_char > int ) > $o,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ X2 @ X0 @ X1 @ X3 )
=> ( ( relati775585786_valid @ X2 @ X0 @ skip @ ( relati1310524937decomp @ X2 @ X0 @ X1 @ X3 ) )
& ( relati775585786_valid @ ( relati1310524937decomp @ X2 @ X0 @ X1 @ X3 ) @ skip @ X1 @ X3 ) ) ),
inference(rectify,[],[f9]) ).
thf(f463,plain,
! [X1: com,X0: com,X2: ( list_char > int ) > ( list_char > int ) > $o,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( $true
= ( relati775585786_valid @ X2 @ X0 @ X1 @ X3 ) )
=> ( ( $true
= ( relati775585786_valid @ ( relati1310524937decomp @ X2 @ X0 @ X1 @ X3 ) @ skip @ X1 @ X3 ) )
& ( ( relati775585786_valid @ X2 @ X0 @ skip @ ( relati1310524937decomp @ X2 @ X0 @ X1 @ X3 ) )
= $true ) ) ),
inference(fool_elimination,[],[f462]) ).
thf(f487,plain,
! [X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ X3 @ X0 @ X2 @ X1 )
=> ( relati2102071307_hoare @ X3 @ X0 @ X2 @ X1 ) ),
inference(rectify,[],[f2]) ).
thf(f488,plain,
! [X1: ( list_char > int ) > ( list_char > int ) > $o,X3: ( list_char > int ) > ( list_char > int ) > $o,X0: com,X2: com] :
( ( ( relati775585786_valid @ X3 @ X0 @ X2 @ X1 )
= $true )
=> ( ( relati2102071307_hoare @ X3 @ X0 @ X2 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f487]) ).
thf(f697,plain,
~ ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
& ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
= ( relati2102071307_hoare @ p @ c @ c2 @ q ) ) ),
inference(rectify,[],[f357]) ).
thf(f698,plain,
~ ( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
= $true )
<=> ( ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
= $true )
& ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
= $true ) ) ),
inference(fool_elimination,[],[f697]) ).
thf(f755,plain,
! [X0: com,X1: com,X2: ( list_char > int ) > ( list_char > int ) > $o,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati2102071307_hoare @ X2 @ X1 @ X0 @ X3 )
=> ( relati775585786_valid @ X2 @ X1 @ X0 @ X3 ) ),
inference(rectify,[],[f1]) ).
thf(f756,plain,
! [X1: com,X2: ( list_char > int ) > ( list_char > int ) > $o,X0: com,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati2102071307_hoare @ X2 @ X1 @ X0 @ X3 )
= $true )
=> ( $true
= ( relati775585786_valid @ X2 @ X1 @ X0 @ X3 ) ) ),
inference(fool_elimination,[],[f755]) ).
thf(f829,plain,
! [X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: ( list_char > int ) > ( list_char > int ) > $o,X3: ( list_char > int ) > ( list_char > int ) > $o,X4: com] :
( ( ( relati775585786_valid @ X2 @ X4 @ skip @ X1 )
& ( relati775585786_valid @ X1 @ skip @ X0 @ X3 ) )
=> ( relati775585786_valid @ X2 @ X4 @ X0 @ X3 ) ),
inference(rectify,[],[f10]) ).
thf(f830,plain,
! [X3: ( list_char > int ) > ( list_char > int ) > $o,X0: com,X2: ( list_char > int ) > ( list_char > int ) > $o,X4: com,X1: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ( relati775585786_valid @ X1 @ skip @ X0 @ X3 )
= $true )
& ( ( relati775585786_valid @ X2 @ X4 @ skip @ X1 )
= $true ) )
=> ( ( relati775585786_valid @ X2 @ X4 @ X0 @ X3 )
= $true ) ),
inference(fool_elimination,[],[f829]) ).
thf(f926,plain,
! [X0: com,X3: ( list_char > int ) > ( list_char > int ) > $o,X1: com,X2: ( list_char > int ) > ( list_char > int ) > $o] :
( ( $true
= ( relati775585786_valid @ X2 @ X1 @ X0 @ X3 ) )
| ( ( relati2102071307_hoare @ X2 @ X1 @ X0 @ X3 )
!= $true ) ),
inference(ennf_transformation,[],[f756]) ).
thf(f1014,plain,
! [X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o,X3: ( list_char > int ) > ( list_char > int ) > $o,X2: com] :
( ( ( relati2102071307_hoare @ X3 @ X0 @ X2 @ X1 )
= $true )
| ( ( relati775585786_valid @ X3 @ X0 @ X2 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f488]) ).
thf(f1019,plain,
! [X3: ( list_char > int ) > ( list_char > int ) > $o,X0: com,X2: ( list_char > int ) > ( list_char > int ) > $o,X4: com,X1: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ X2 @ X4 @ X0 @ X3 )
= $true )
| ( ( relati775585786_valid @ X1 @ skip @ X0 @ X3 )
!= $true )
| ( ( relati775585786_valid @ X2 @ X4 @ skip @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f830]) ).
thf(f1020,plain,
! [X1: ( list_char > int ) > ( list_char > int ) > $o,X3: ( list_char > int ) > ( list_char > int ) > $o,X0: com,X2: ( list_char > int ) > ( list_char > int ) > $o,X4: com] :
( ( ( relati775585786_valid @ X2 @ X4 @ skip @ X1 )
!= $true )
| ( ( relati775585786_valid @ X1 @ skip @ X0 @ X3 )
!= $true )
| ( ( relati775585786_valid @ X2 @ X4 @ X0 @ X3 )
= $true ) ),
inference(flattening,[],[f1019]) ).
thf(f1057,plain,
! [X0: com,X2: ( list_char > int ) > ( list_char > int ) > $o,X3: ( list_char > int ) > ( list_char > int ) > $o,X1: com] :
( ( $true
!= ( relati775585786_valid @ X2 @ X0 @ X1 @ X3 ) )
| ( ( $true
= ( relati775585786_valid @ ( relati1310524937decomp @ X2 @ X0 @ X1 @ X3 ) @ skip @ X1 @ X3 ) )
& ( ( relati775585786_valid @ X2 @ X0 @ skip @ ( relati1310524937decomp @ X2 @ X0 @ X1 @ X3 ) )
= $true ) ) ),
inference(ennf_transformation,[],[f463]) ).
thf(f1127,plain,
( ( ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
= $true )
& ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
= $true ) )
<~> ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
= $true ) ),
inference(ennf_transformation,[],[f698]) ).
thf(f1170,plain,
! [X0: ( list_char > int ) > ( list_char > int ) > $o,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o,X4: com] :
( ( ( relati775585786_valid @ X3 @ X4 @ skip @ X0 )
!= $true )
| ( ( relati775585786_valid @ X0 @ skip @ X2 @ X1 )
!= $true )
| ( ( relati775585786_valid @ X3 @ X4 @ X2 @ X1 )
= $true ) ),
inference(rectify,[],[f1020]) ).
thf(f1187,plain,
! [X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ X3 @ X2 @ X0 @ X1 )
= $true )
| ( ( relati2102071307_hoare @ X3 @ X2 @ X0 @ X1 )
!= $true ) ),
inference(rectify,[],[f926]) ).
thf(f1261,plain,
! [X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: ( list_char > int ) > ( list_char > int ) > $o,X3: com] :
( ( ( relati775585786_valid @ X1 @ X0 @ X3 @ X2 )
!= $true )
| ( ( $true
= ( relati775585786_valid @ ( relati1310524937decomp @ X1 @ X0 @ X3 @ X2 ) @ skip @ X3 @ X2 ) )
& ( ( relati775585786_valid @ X1 @ X0 @ skip @ ( relati1310524937decomp @ X1 @ X0 @ X3 @ X2 ) )
= $true ) ) ),
inference(rectify,[],[f1057]) ).
thf(f1385,plain,
! [X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: ( list_char > int ) > ( list_char > int ) > $o,X3: com] :
( ( ( relati2102071307_hoare @ X2 @ X0 @ X3 @ X1 )
= $true )
| ( ( relati775585786_valid @ X2 @ X0 @ X3 @ X1 )
!= $true ) ),
inference(rectify,[],[f1014]) ).
thf(f1437,plain,
( ( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
!= $true )
| ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
!= $true )
| ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
!= $true ) )
& ( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
= $true )
| ( ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
= $true )
& ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
= $true ) ) ) ),
inference(nnf_transformation,[],[f1127]) ).
thf(f1438,plain,
( ( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
!= $true )
| ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
!= $true )
| ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
!= $true ) )
& ( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
= $true )
| ( ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
= $true )
& ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
= $true ) ) ) ),
inference(flattening,[],[f1437]) ).
thf(f1540,plain,
! [X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o,X0: ( list_char > int ) > ( list_char > int ) > $o,X1: ( list_char > int ) > ( list_char > int ) > $o,X4: com] :
( ( ( relati775585786_valid @ X3 @ X4 @ X2 @ X1 )
= $true )
| ( ( relati775585786_valid @ X0 @ skip @ X2 @ X1 )
!= $true )
| ( ( relati775585786_valid @ X3 @ X4 @ skip @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f1170]) ).
thf(f1567,plain,
! [X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o,X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ X3 @ X2 @ X0 @ X1 )
= $true )
| ( ( relati2102071307_hoare @ X3 @ X2 @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f1187]) ).
thf(f1677,plain,
! [X2: ( list_char > int ) > ( list_char > int ) > $o,X3: com,X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ X1 @ X0 @ skip @ ( relati1310524937decomp @ X1 @ X0 @ X3 @ X2 ) )
= $true )
| ( ( relati775585786_valid @ X1 @ X0 @ X3 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f1261]) ).
thf(f1678,plain,
! [X2: ( list_char > int ) > ( list_char > int ) > $o,X3: com,X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o] :
( ( $true
= ( relati775585786_valid @ ( relati1310524937decomp @ X1 @ X0 @ X3 @ X2 ) @ skip @ X3 @ X2 ) )
| ( ( relati775585786_valid @ X1 @ X0 @ X3 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f1261]) ).
thf(f1844,plain,
! [X2: ( list_char > int ) > ( list_char > int ) > $o,X3: com,X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati2102071307_hoare @ X2 @ X0 @ X3 @ X1 )
= $true )
| ( ( relati775585786_valid @ X2 @ X0 @ X3 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f1385]) ).
thf(f1905,plain,
( ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
= $true )
| ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
= $true ) ),
inference(cnf_transformation,[],[f1438]) ).
thf(f1906,plain,
( ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
= $true )
| ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
= $true ) ),
inference(cnf_transformation,[],[f1438]) ).
thf(f1907,plain,
( ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
!= $true )
| ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
!= $true )
| ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
!= $true ) ),
inference(cnf_transformation,[],[f1438]) ).
thf(f2186,definition,
( spl160_1
<=> ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl160_1])],[avatar_definition]) ).
thf(f2187,plain,
( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
!= $true )
| spl160_1 ),
inference(avatar_component_clause,[],[f2186]) ).
thf(f2190,definition,
( spl160_2
<=> ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl160_2])],[avatar_definition]) ).
thf(f2191,plain,
( ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
!= $true )
| spl160_2 ),
inference(avatar_component_clause,[],[f2190]) ).
thf(f2192,plain,
( ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
= $true )
| ~ spl160_2 ),
inference(avatar_component_clause,[],[f2190]) ).
thf(f2193,plain,
( spl160_1
| spl160_2 ),
inference(avatar_split_clause,[],[f1906,f2190,f2186]) ).
thf(f2195,definition,
( spl160_3
<=> ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl160_3])],[avatar_definition]) ).
thf(f2197,plain,
( ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
!= $true )
| spl160_3 ),
inference(avatar_component_clause,[],[f2195]) ).
thf(f2198,plain,
( ~ spl160_3
| ~ spl160_1
| ~ spl160_2 ),
inference(avatar_split_clause,[],[f1907,f2190,f2186,f2195]) ).
thf(f2274,plain,
( spl160_3
| spl160_1 ),
inference(avatar_split_clause,[],[f1905,f2186,f2195]) ).
thf(f2286,plain,
( ( $true != $true )
| ( ( relati775585786_valid @ p @ c @ c2 @ q )
!= $true )
| spl160_1 ),
inference(superposition,[],[f2187,f1844]) ).
thf(f2287,plain,
( ( ( relati775585786_valid @ p @ c @ c2 @ q )
!= $true )
| spl160_1 ),
inference(trivial_inequality_removal,[],[f2286]) ).
thf(f2289,definition,
( spl160_20
<=> ( ( relati775585786_valid @ p @ c @ c2 @ q )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl160_20])],[avatar_definition]) ).
thf(f2290,plain,
( ( ( relati775585786_valid @ p @ c @ c2 @ q )
= $true )
| ~ spl160_20 ),
inference(avatar_component_clause,[],[f2289]) ).
thf(f2291,plain,
( ( ( relati775585786_valid @ p @ c @ c2 @ q )
!= $true )
| spl160_20 ),
inference(avatar_component_clause,[],[f2289]) ).
thf(f2292,plain,
( ~ spl160_20
| spl160_1 ),
inference(avatar_split_clause,[],[f2287,f2186,f2289]) ).
thf(f2350,plain,
( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
!= $true )
| ( $true != $true )
| spl160_20 ),
inference(superposition,[],[f2291,f1567]) ).
thf(f2351,plain,
( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
!= $true )
| spl160_20 ),
inference(trivial_inequality_removal,[],[f2350]) ).
thf(f3853,plain,
( ! [X0: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ X0 @ skip @ c2 @ q )
!= $true )
| ( $true != $true )
| ( $true
!= ( relati775585786_valid @ p @ c @ skip @ X0 ) ) )
| spl160_20 ),
inference(superposition,[],[f2291,f1540]) ).
thf(f3876,plain,
( ! [X0: ( list_char > int ) > ( list_char > int ) > $o] :
( ( $true
!= ( relati775585786_valid @ p @ c @ skip @ X0 ) )
| ( ( relati775585786_valid @ X0 @ skip @ c2 @ q )
!= $true ) )
| spl160_20 ),
inference(trivial_inequality_removal,[],[f3853]) ).
thf(f3933,plain,
( ! [X0: ( list_char > int ) > ( list_char > int ) > $o] :
( ( $true
!= ( relati2102071307_hoare @ p @ c @ skip @ X0 ) )
| ( $true != $true )
| ( ( relati775585786_valid @ X0 @ skip @ c2 @ q )
!= $true ) )
| spl160_20 ),
inference(superposition,[],[f3876,f1567]) ).
thf(f3936,plain,
( ! [X0: ( list_char > int ) > ( list_char > int ) > $o] :
( ( $true
!= ( relati2102071307_hoare @ p @ c @ skip @ X0 ) )
| ( ( relati775585786_valid @ X0 @ skip @ c2 @ q )
!= $true ) )
| spl160_20 ),
inference(trivial_inequality_removal,[],[f3933]) ).
thf(f3999,plain,
( ( $true != $true )
| ( $true
!= ( relati775585786_valid @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q ) )
| ~ spl160_2
| spl160_20 ),
inference(superposition,[],[f3936,f2192]) ).
thf(f4001,plain,
( ( $true
!= ( relati775585786_valid @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q ) )
| ~ spl160_2
| spl160_20 ),
inference(trivial_inequality_removal,[],[f3999]) ).
thf(f4004,definition,
( spl160_23
<=> ( $true
= ( relati775585786_valid @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q ) ) ),
introduced(definition,[new_symbols(definition,[spl160_23])],[avatar_definition]) ).
thf(f4006,plain,
( ( $true
!= ( relati775585786_valid @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q ) )
| spl160_23 ),
inference(avatar_component_clause,[],[f4004]) ).
thf(f4007,plain,
( ~ spl160_23
| ~ spl160_2
| spl160_20 ),
inference(avatar_split_clause,[],[f4001,f2289,f2190,f4004]) ).
thf(f4055,plain,
( ( ( relati775585786_valid @ p @ c @ c2 @ q )
!= $true )
| ( $true != $true )
| spl160_23 ),
inference(superposition,[],[f4006,f1678]) ).
thf(f4057,plain,
( ( $true != $true )
| ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
!= $true )
| spl160_23 ),
inference(superposition,[],[f4006,f1567]) ).
thf(f4058,plain,
( ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
!= $true )
| spl160_23 ),
inference(trivial_inequality_removal,[],[f4057]) ).
thf(f4059,plain,
( ( ( relati775585786_valid @ p @ c @ c2 @ q )
!= $true )
| spl160_23 ),
inference(trivial_inequality_removal,[],[f4055]) ).
thf(f4063,plain,
( ~ spl160_1
| spl160_20 ),
inference(avatar_split_clause,[],[f2351,f2289,f2186]) ).
thf(f4064,plain,
( ~ spl160_3
| spl160_23 ),
inference(avatar_split_clause,[],[f4058,f4004,f2195]) ).
thf(f4065,plain,
( ~ spl160_20
| spl160_23 ),
inference(avatar_split_clause,[],[f4059,f4004,f2289]) ).
thf(f4091,plain,
( ( $true
!= ( relati775585786_valid @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q ) )
| ( $true != $true )
| spl160_3 ),
inference(superposition,[],[f2197,f1844]) ).
thf(f4092,plain,
( ( $true
!= ( relati775585786_valid @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q ) )
| spl160_3 ),
inference(trivial_inequality_removal,[],[f4091]) ).
thf(f4093,plain,
( ~ spl160_23
| spl160_3 ),
inference(avatar_split_clause,[],[f4092,f2195,f4004]) ).
thf(f4094,plain,
( ( ( relati775585786_valid @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
!= $true )
| ( $true != $true )
| spl160_2 ),
inference(superposition,[],[f2191,f1844]) ).
thf(f4095,plain,
( ( ( relati775585786_valid @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
!= $true )
| spl160_2 ),
inference(trivial_inequality_removal,[],[f4094]) ).
thf(f4097,definition,
( spl160_24
<=> ( ( relati775585786_valid @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl160_24])],[avatar_definition]) ).
thf(f4099,plain,
( ( ( relati775585786_valid @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
!= $true )
| spl160_24 ),
inference(avatar_component_clause,[],[f4097]) ).
thf(f4100,plain,
( ~ spl160_24
| spl160_2 ),
inference(avatar_split_clause,[],[f4095,f2190,f4097]) ).
thf(f4146,plain,
( ( $true != $true )
| ( ( relati775585786_valid @ p @ c @ c2 @ q )
!= $true )
| spl160_24 ),
inference(superposition,[],[f4099,f1677]) ).
thf(f4149,plain,
( ( ( relati775585786_valid @ p @ c @ c2 @ q )
!= $true )
| spl160_24 ),
inference(trivial_inequality_removal,[],[f4146]) ).
thf(f4152,plain,
( $false
| ~ spl160_20
| spl160_24 ),
inference(forward_subsumption_resolution,[],[f4149,f2290]) ).
thf(f4153,plain,
( ~ spl160_20
| spl160_24 ),
inference(avatar_contradiction_clause,[],[f4152]) ).
cnf(s1,plain,
( spl160_1
| spl160_2 ),
inference(sat_conversion,[],[f2193]) ).
cnf(s2,plain,
( ~ spl160_1
| ~ spl160_2
| ~ spl160_3 ),
inference(sat_conversion,[],[f2198]) ).
cnf(s23,plain,
( spl160_1
| spl160_3 ),
inference(sat_conversion,[],[f2274]) ).
cnf(s26,plain,
( spl160_1
| ~ spl160_20 ),
inference(sat_conversion,[],[f2292]) ).
cnf(s30,plain,
( ~ spl160_2
| spl160_20
| ~ spl160_23 ),
inference(sat_conversion,[],[f4007]) ).
cnf(s32,plain,
( ~ spl160_1
| spl160_20 ),
inference(sat_conversion,[],[f4063]) ).
cnf(s33,plain,
( ~ spl160_3
| spl160_23 ),
inference(sat_conversion,[],[f4064]) ).
cnf(s34,plain,
( ~ spl160_20
| spl160_23 ),
inference(sat_conversion,[],[f4065]) ).
cnf(s35,plain,
( spl160_3
| ~ spl160_23 ),
inference(sat_conversion,[],[f4093]) ).
cnf(s36,plain,
( spl160_2
| ~ spl160_24 ),
inference(sat_conversion,[],[f4100]) ).
cnf(s37,plain,
( ~ spl160_20
| spl160_24 ),
inference(sat_conversion,[],[f4153]) ).
cnf(s40,plain,
spl160_1,
inference(rat,[],[s30,s33,s1,s23,s26]) ).
cnf(s41,plain,
spl160_20,
inference(rat,[],[s32,s40]) ).
cnf(s42,plain,
spl160_24,
inference(rat,[],[s37,s41]) ).
cnf(s43,plain,
spl160_23,
inference(rat,[],[s34,s41]) ).
cnf(s44,plain,
spl160_2,
inference(rat,[],[s36,s42]) ).
cnf(s45,plain,
spl160_3,
inference(rat,[],[s35,s43]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s2,s40,s44,s45]) ).
thf(f4154,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP167^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n007.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 20:02:56 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.21/0.29 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.42 % (3861914)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.46/0.42 % (3861921)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=308824887:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.46/0.42 % (3861921)Instruction limit reached!
% 0.46/0.42 % (3861921)------------------------------
% 0.46/0.42 % (3861921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.42 % (3861921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.42 % (3861921)CaDiCaL version: 2.1.3
% 0.46/0.42 % (3861921)Termination reason: Instruction limit
% 0.46/0.42 % (3861921)Termination phase: shuffling
% 0.46/0.42 % (3861921)Time elapsed: 0.002 s
% 0.46/0.42 % (3861921)Peak memory usage: 10 MB
% 0.46/0.42 % (3861921)Instructions burned: 7 (million)
% 0.46/0.42 % (3861925)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.46/0.42 % (3861925)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
% 0.46/0.42 % (3861919)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=511511311:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.46/0.42 % (3861924)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2101066723:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.46/0.42 % (3861922)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=2504324535: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)
% 0.46/0.42 % (3861923)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3336967330:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.46/0.42 % (3861925)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=1838769136:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.46/0.42 % (3861927)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1312050604:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.46/0.42 % (3861920)lrs+10_16_si=on:nwc=1.5:random_seed=4014289326:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.46/0.42 % (3861927)Instruction limit reached!
% 0.46/0.42 % (3861927)------------------------------
% 0.46/0.42 % (3861927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.42 % (3861927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.42 % (3861927)CaDiCaL version: 2.1.3
% 0.46/0.42 % (3861927)Termination reason: Instruction limit
% 0.46/0.42 % (3861927)Termination phase: shuffling
% 0.46/0.42 % (3861927)Time elapsed: 0.001 s
% 0.46/0.42 % (3861927)Peak memory usage: 10 MB
% 0.46/0.42 % (3861927)Instructions burned: 4 (million)
% 0.46/0.42 % (3861923)Instruction limit reached!
% 0.46/0.42 % (3861923)------------------------------
% 0.46/0.42 % (3861923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.42 % (3861923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.42 % (3861923)CaDiCaL version: 2.1.3
% 0.46/0.42 % (3861923)Termination reason: Instruction limit
% 0.46/0.42 % (3861923)Termination phase: shuffling
% 0.46/0.42 % (3861923)Time elapsed: 0.011 s
% 0.46/0.42 % (3861923)Peak memory usage: 10 MB
% 0.46/0.42 % (3861923)Instructions burned: 24 (million)
% 0.46/0.42 % (3861920)Instruction limit reached!
% 0.46/0.42 % (3861920)------------------------------
% 0.46/0.42 % (3861920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.42 % (3861920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.42 % (3861920)CaDiCaL version: 2.1.3
% 0.46/0.42 % (3861920)Termination reason: Instruction limit
% 0.46/0.42 % (3861920)Termination phase: shuffling
% 0.46/0.42 % (3861920)Time elapsed: 0.008 s
% 0.46/0.42 % (3861920)Peak memory usage: 10 MB
% 0.46/0.42 % (3861920)Instructions burned: 18 (million)
% 0.46/0.42 % (3861935)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3746470060:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.46/0.46 % (3861935)Instruction limit reached!
% 0.46/0.46 % (3861935)------------------------------
% 0.46/0.46 % (3861935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.46 % (3861935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.46 % (3861935)CaDiCaL version: 2.1.3
% 0.46/0.46 % (3861935)Termination reason: Instruction limit
% 0.46/0.46 % (3861935)Termination phase: shuffling
% 0.46/0.46 % (3861935)Time elapsed: 0.002 s
% 0.46/0.46 % (3861935)Peak memory usage: 10 MB
% 0.46/0.46 % (3861935)Instructions burned: 6 (million)
% 0.46/0.46 % (3861936)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.46/0.46 % (3861939)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
% 0.46/0.46 % (3861939)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.46/0.46 % (3861939)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=840891765:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.46/0.46 % (3861936)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3207563785:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.46/0.46 % (3861937)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2709752789:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.46/0.46 % (3861924)Instruction limit reached!
% 0.46/0.46 % (3861924)------------------------------
% 0.46/0.46 % (3861924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.46 % (3861924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.46 % (3861924)CaDiCaL version: 2.1.3
% 0.46/0.46 % (3861924)Termination reason: Instruction limit
% 0.46/0.46 % (3861924)Termination phase: Preprocessing 1
% 0.46/0.46 % (3861924)Time elapsed: 0.034 s
% 0.46/0.46 % (3861924)Peak memory usage: 11 MB
% 0.46/0.46 % (3861924)Instructions burned: 75 (million)
% 0.46/0.46 % (3861936)Instruction limit reached!
% 0.46/0.46 % (3861936)------------------------------
% 0.46/0.46 % (3861936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.46 % (3861936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.46 % (3861936)CaDiCaL version: 2.1.3
% 0.46/0.46 % (3861936)Termination reason: Instruction limit
% 0.46/0.46 % (3861936)Termination phase: shuffling
% 0.46/0.46 % (3861936)Time elapsed: 0.004 s
% 0.46/0.46 % (3861936)Peak memory usage: 10 MB
% 0.46/0.46 % (3861936)Instructions burned: 9 (million)
% 0.46/0.46 % (3861939)Instruction limit reached!
% 0.46/0.46 % (3861939)------------------------------
% 0.46/0.46 % (3861939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.46 % (3861939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.46 % (3861939)CaDiCaL version: 2.1.3
% 0.46/0.46 % (3861939)Termination reason: Instruction limit
% 0.46/0.46 % (3861939)Termination phase: shuffling
% 0.46/0.46 % (3861939)Time elapsed: 0.007 s
% 0.46/0.46 % (3861939)Peak memory usage: 11 MB
% 0.46/0.46 % (3861939)Instructions burned: 32 (million)
% 0.46/0.46 % (3861919)Instruction limit reached!
% 0.46/0.46 % (3861919)------------------------------
% 0.46/0.46 % (3861919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.46 % (3861919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.46 % (3861919)CaDiCaL version: 2.1.3
% 0.46/0.46 % (3861919)Termination reason: Instruction limit
% 0.46/0.46 % (3861919)Termination phase: Preprocessing 3
% 0.46/0.46 % (3861919)Time elapsed: 0.041 s
% 0.46/0.46 % (3861919)Peak memory usage: 12 MB
% 0.46/0.46 % (3861919)Instructions burned: 89 (million)
% 0.46/0.46 % (3861937)Instruction limit reached!
% 0.46/0.46 % (3861937)------------------------------
% 0.46/0.46 % (3861937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.46 % (3861937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.46 % (3861937)CaDiCaL version: 2.1.3
% 0.46/0.46 % (3861937)Termination reason: Instruction limit
% 1.14/0.50 % (3861937)Termination phase: shuffling
% 1.14/0.50 % (3861937)Time elapsed: 0.006 s
% 1.14/0.50 % (3861937)Peak memory usage: 10 MB
% 1.14/0.50 % (3861937)Instructions burned: 14 (million)
% 1.14/0.50 % (3861945)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.14/0.50 % (3861945)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=4246064606:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.14/0.50 % (3861945)Instruction limit reached!
% 1.14/0.50 % (3861945)------------------------------
% 1.14/0.50 % (3861945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.50 % (3861945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.50 % (3861945)CaDiCaL version: 2.1.3
% 1.14/0.50 % (3861945)Termination reason: Instruction limit
% 1.14/0.50 % (3861945)Termination phase: shuffling
% 1.14/0.50 % (3861945)Time elapsed: 0.001 s
% 1.14/0.50 % (3861945)Peak memory usage: 10 MB
% 1.14/0.50 % (3861945)Instructions burned: 3 (million)
% 1.14/0.50 % (3861943)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=238202443:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.14/0.50 % (3861944)lrs+10_1_si=on:cs=on:random_seed=1469928659:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.14/0.50 % (3861944)Instruction limit reached!
% 1.14/0.50 % (3861944)------------------------------
% 1.14/0.50 % (3861944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.50 % (3861944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.50 % (3861944)CaDiCaL version: 2.1.3
% 1.14/0.50 % (3861944)Termination reason: Instruction limit
% 1.14/0.50 % (3861944)Termination phase: shuffling
% 1.14/0.50 % (3861944)Time elapsed: 0.004 s
% 1.14/0.50 % (3861944)Peak memory usage: 10 MB
% 1.14/0.50 % (3861944)Instructions burned: 8 (million)
% 1.14/0.50 % (3861949)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=278118933:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 1.14/0.50 % (3861946)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2865679219:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.14/0.50 % (3861947)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3854873362:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 1.14/0.50 % (3861949)Instruction limit reached!
% 1.14/0.50 % (3861949)------------------------------
% 1.14/0.50 % (3861949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.50 % (3861949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.50 % (3861949)CaDiCaL version: 2.1.3
% 1.14/0.50 % (3861949)Termination reason: Instruction limit
% 1.14/0.50 % (3861949)Termination phase: shuffling
% 1.14/0.50 % (3861949)Time elapsed: 0.006 s
% 1.14/0.50 % (3861949)Peak memory usage: 10 MB
% 1.14/0.50 % (3861949)Instructions burned: 27 (million)
% 1.14/0.50 % (3861925)Instruction limit reached!
% 1.14/0.50 % (3861925)------------------------------
% 1.14/0.50 % (3861925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.50 % (3861925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.50 % (3861925)CaDiCaL version: 2.1.3
% 1.14/0.50 % (3861925)Termination reason: Instruction limit
% 1.14/0.50 % (3861925)Termination phase: Saturation
% 1.14/0.50 % (3861925)Time elapsed: 0.069 s
% 1.14/0.50 % (3861925)Peak memory usage: 13 MB
% 1.14/0.50 % (3861925)Instructions burned: 158 (million)
% 1.14/0.50 % (3861956)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3499347214:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.14/0.50 % (3861946)Instruction limit reached!
% 1.14/0.50 % (3861946)------------------------------
% 1.14/0.50 % (3861946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.50 % (3861946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.50 % (3861946)CaDiCaL version: 2.1.3
% 1.14/0.50 % (3861946)Termination reason: Instruction limit
% 1.14/0.50 % (3861946)Termination phase: Property scanning
% 1.14/0.50 % (3861946)Time elapsed: 0.017 s
% 1.14/0.50 % (3861946)Peak memory usage: 11 MB
% 1.14/0.54 % (3861946)Instructions burned: 40 (million)
% 1.14/0.54 % (3861952)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2456066018:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.14/0.54 % (3861952)Instruction limit reached!
% 1.14/0.54 % (3861952)------------------------------
% 1.14/0.54 % (3861952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.54 % (3861952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.54 % (3861952)CaDiCaL version: 2.1.3
% 1.14/0.54 % (3861952)Termination reason: Instruction limit
% 1.14/0.54 % (3861952)Termination phase: shuffling
% 1.14/0.54 % (3861952)Time elapsed: 0.007 s
% 1.14/0.54 % (3861952)Peak memory usage: 10 MB
% 1.14/0.54 % (3861952)Instructions burned: 15 (million)
% 1.14/0.54 % (3861957)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4169671430:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.14/0.54 % (3861943)Instruction limit reached!
% 1.14/0.54 % (3861943)------------------------------
% 1.14/0.54 % (3861943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.54 % (3861943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.54 % (3861943)CaDiCaL version: 2.1.3
% 1.14/0.54 % (3861943)Termination reason: Instruction limit
% 1.14/0.54 % (3861943)Termination phase: Property scanning
% 1.14/0.54 % (3861943)Time elapsed: 0.039 s
% 1.14/0.54 % (3861943)Peak memory usage: 11 MB
% 1.14/0.54 % (3861943)Instructions burned: 91 (million)
% 1.14/0.54 % (3861957)Instruction limit reached!
% 1.14/0.54 % (3861957)------------------------------
% 1.14/0.54 % (3861957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.54 % (3861957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.54 % (3861957)CaDiCaL version: 2.1.3
% 1.14/0.54 % (3861957)Termination reason: Instruction limit
% 1.14/0.54 % (3861957)Termination phase: shuffling
% 1.14/0.54 % (3861957)Time elapsed: 0.007 s
% 1.14/0.54 % (3861957)Peak memory usage: 10 MB
% 1.14/0.54 % (3861957)Instructions burned: 16 (million)
% 1.14/0.54 % (3861960)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2365147322:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.14/0.54 % (3861960)Instruction limit reached!
% 1.14/0.54 % (3861960)------------------------------
% 1.14/0.54 % (3861960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.54 % (3861960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.54 % (3861960)CaDiCaL version: 2.1.3
% 1.14/0.54 % (3861960)Termination reason: Instruction limit
% 1.14/0.54 % (3861960)Termination phase: shuffling
% 1.14/0.54 % (3861960)Time elapsed: 0.002 s
% 1.14/0.54 % (3861960)Peak memory usage: 10 MB
% 1.14/0.54 % (3861960)Instructions burned: 3 (million)
% 1.14/0.54 % (3861961)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3043691382:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.14/0.54 % (3861963)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3626714636:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.14/0.54 % (3861965)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=491137963:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.14/0.54 % (3861966)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) 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
% 1.14/0.54 % (3861966)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.14/0.54 % (3861961)Instruction limit reached!
% 1.14/0.54 % (3861961)------------------------------
% 1.14/0.54 % (3861961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.54 % (3861961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.54 % (3861961)CaDiCaL version: 2.1.3
% 1.14/0.54 % (3861961)Termination reason: Instruction limit
% 1.14/0.54 % (3861961)Termination phase: shuffling
% 1.14/0.54 % (3861961)Time elapsed: 0.012 s
% 1.14/0.54 % (3861961)Peak memory usage: 11 MB
% 1.14/0.54 % (3861961)Instructions burned: 27 (million)
% 1.85/0.60 % (3861966)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=1067311542:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.85/0.60 % (3861963)Instruction limit reached!
% 1.85/0.60 % (3861963)------------------------------
% 1.85/0.60 % (3861963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.60 % (3861963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.60 % (3861963)CaDiCaL version: 2.1.3
% 1.85/0.60 % (3861963)Termination reason: Instruction limit
% 1.85/0.60 % (3861963)Termination phase: shuffling
% 1.85/0.60 % (3861963)Time elapsed: 0.010 s
% 1.85/0.60 % (3861963)Peak memory usage: 11 MB
% 1.85/0.60 % (3861963)Instructions burned: 23 (million)
% 1.85/0.60 % (3861966)Instruction limit reached!
% 1.85/0.60 % (3861966)------------------------------
% 1.85/0.60 % (3861966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.60 % (3861966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.60 % (3861966)CaDiCaL version: 2.1.3
% 1.85/0.60 % (3861966)Termination reason: Instruction limit
% 1.85/0.60 % (3861966)Termination phase: shuffling
% 1.85/0.60 % (3861966)Time elapsed: 0.008 s
% 1.85/0.60 % (3861966)Peak memory usage: 10 MB
% 1.85/0.60 % (3861966)Instructions burned: 15 (million)
% 1.85/0.60 % (3861970)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.85/0.60 % (3861970)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=1698030918:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.85/0.60 % (3861970)Instruction limit reached!
% 1.85/0.60 % (3861970)------------------------------
% 1.85/0.60 % (3861970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.60 % (3861970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.60 % (3861970)CaDiCaL version: 2.1.3
% 1.85/0.60 % (3861970)Termination reason: Instruction limit
% 1.85/0.60 % (3861970)Termination phase: shuffling
% 1.85/0.60 % (3861970)Time elapsed: 0.004 s
% 1.85/0.60 % (3861970)Peak memory usage: 10 MB
% 1.85/0.60 % (3861970)Instructions burned: 9 (million)
% 1.85/0.60 % (3861972)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=4128963997:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.85/0.60 % (3861965)Instruction limit reached!
% 1.85/0.60 % (3861965)------------------------------
% 1.85/0.60 % (3861965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.60 % (3861965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.60 % (3861965)CaDiCaL version: 2.1.3
% 1.85/0.60 % (3861965)Termination reason: Instruction limit
% 1.85/0.60 % (3861965)Termination phase: Preprocessing 1
% 1.85/0.60 % (3861965)Time elapsed: 0.026 s
% 1.85/0.60 % (3861965)Peak memory usage: 11 MB
% 1.85/0.60 % (3861965)Instructions burned: 61 (million)
% 1.85/0.60 % (3861973)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=831168020:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.85/0.60 % (3861973)Instruction limit reached!
% 1.85/0.60 % (3861973)------------------------------
% 1.85/0.60 % (3861973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.60 % (3861973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.60 % (3861973)CaDiCaL version: 2.1.3
% 1.85/0.60 % (3861973)Termination reason: Instruction limit
% 1.85/0.60 % (3861973)Termination phase: shuffling
% 1.85/0.60 % (3861973)Time elapsed: 0.004 s
% 1.85/0.60 % (3861973)Peak memory usage: 10 MB
% 1.85/0.60 % (3861973)Instructions burned: 8 (million)
% 1.85/0.60 % (3861972)Instruction limit reached!
% 1.85/0.60 % (3861972)------------------------------
% 1.85/0.60 % (3861972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.60 % (3861972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.60 % (3861972)CaDiCaL version: 2.1.3
% 1.85/0.60 % (3861972)Termination reason: Instruction limit
% 1.85/0.60 % (3861972)Termination phase: shuffling
% 1.85/0.60 % (3861972)Time elapsed: 0.014 s
% 1.85/0.60 % (3861972)Peak memory usage: 11 MB
% 1.85/0.60 % (3861972)Instructions burned: 31 (million)
% 2.06/0.64 % (3861956)Instruction limit reached!
% 2.06/0.64 % (3861956)------------------------------
% 2.06/0.64 % (3861956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.64 % (3861956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.64 % (3861956)CaDiCaL version: 2.1.3
% 2.06/0.64 % (3861956)Termination reason: Instruction limit
% 2.06/0.64 % (3861956)Termination phase: Saturation
% 2.06/0.64 % (3861956)Time elapsed: 0.079 s
% 2.06/0.64 % (3861956)Peak memory usage: 16 MB
% 2.06/0.64 % (3861956)Instructions burned: 328 (million)
% 2.06/0.64 % (3861975)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4215144051:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.06/0.64 % (3861977)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2862046101:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.06/0.64 % (3861981)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3123076286:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.06/0.65 % (3861979)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3596680862:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.06/0.65 % (3861975)Instruction limit reached!
% 2.06/0.65 % (3861975)------------------------------
% 2.06/0.65 % (3861975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.65 % (3861975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.65 % (3861975)CaDiCaL version: 2.1.3
% 2.06/0.65 % (3861975)Termination reason: Instruction limit
% 2.06/0.65 % (3861975)Termination phase: shuffling
% 2.06/0.65 % (3861975)Time elapsed: 0.011 s
% 2.06/0.65 % (3861975)Peak memory usage: 10 MB
% 2.06/0.65 % (3861975)Instructions burned: 23 (million)
% 2.06/0.65 % (3861977)Instruction limit reached!
% 2.06/0.65 % (3861977)------------------------------
% 2.06/0.65 % (3861977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.65 % (3861977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.65 % (3861977)CaDiCaL version: 2.1.3
% 2.06/0.65 % (3861977)Termination reason: Instruction limit
% 2.06/0.65 % (3861977)Termination phase: shuffling
% 2.06/0.65 % (3861977)Time elapsed: 0.009 s
% 2.06/0.65 % (3861977)Peak memory usage: 10 MB
% 2.06/0.65 % (3861977)Instructions burned: 21 (million)
% 2.06/0.65 % (3861980)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3717436745:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.06/0.65 % (3861947)Instruction limit reached!
% 2.06/0.65 % (3861947)------------------------------
% 2.06/0.65 % (3861947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.65 % (3861947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.65 % (3861947)CaDiCaL version: 2.1.3
% 2.06/0.65 % (3861947)Termination reason: Instruction limit
% 2.06/0.65 % (3861947)Termination phase: Saturation
% 2.06/0.65 % (3861947)Time elapsed: 0.114 s
% 2.06/0.65 % (3861947)Peak memory usage: 14 MB
% 2.06/0.65 % (3861947)Instructions burned: 251 (million)
% 2.06/0.65 % (3861987)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.06/0.65 % (3861986)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3319246592:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.06/0.65 % (3861987)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=813759548:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.06/0.65 % (3861989)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2454946830:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.06/0.65 % (3861987)Instruction limit reached!
% 2.06/0.65 % (3861987)------------------------------
% 2.06/0.65 % (3861987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.65 % (3861987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.65 % (3861987)CaDiCaL version: 2.1.3
% 2.06/0.65 % (3861987)Termination reason: Instruction limit
% 2.06/0.65 % (3861987)Termination phase: shuffling
% 2.06/0.65 % (3861987)Time elapsed: 0.004 s
% 2.06/0.65 % (3861987)Peak memory usage: 10 MB
% 2.06/0.65 % (3861987)Instructions burned: 7 (million)
% 2.06/0.65 % (3861986)Instruction limit reached!
% 2.06/0.65 % (3861986)------------------------------
% 2.06/0.65 % (3861986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.65 % (3861986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.65 % (3861986)CaDiCaL version: 2.1.3
% 2.06/0.65 % (3861986)Termination reason: Instruction limit
% 2.06/0.65 % (3861986)Termination phase: Property scanning
% 2.06/0.65 % (3861986)Time elapsed: 0.019 s
% 2.06/0.65 % (3861986)Peak memory usage: 11 MB
% 2.06/0.65 % (3861986)Instructions burned: 43 (million)
% 2.06/0.65 % (3861993)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=1965248348:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.06/0.65 % (3861981)Instruction limit reached!
% 2.06/0.65 % (3861981)------------------------------
% 2.06/0.65 % (3861981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.65 % (3861981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.65 % (3861981)CaDiCaL version: 2.1.3
% 2.06/0.65 % (3861981)Termination reason: Instruction limit
% 2.06/0.65 % (3861981)Termination phase: Saturation
% 2.06/0.65 % (3861981)Time elapsed: 0.051 s
% 2.06/0.65 % (3861981)Peak memory usage: 14 MB
% 2.06/0.65 % (3861981)Instructions burned: 196 (million)
% 2.06/0.65 % (3861994)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.06/0.65 % (3861994)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2050661576:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.06/0.65 % (3861996)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1781638443:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.06/0.65 % (3861994)Instruction limit reached!
% 2.06/0.65 % (3861994)------------------------------
% 2.06/0.65 % (3861994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.65 % (3861994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.65 % (3861994)CaDiCaL version: 2.1.3
% 2.06/0.65 % (3861994)Termination reason: Instruction limit
% 2.06/0.65 % (3861994)Termination phase: shuffling
% 2.06/0.65 % (3861994)Time elapsed: 0.003 s
% 2.06/0.65 % (3861994)Peak memory usage: 10 MB
% 2.06/0.65 % (3861994)Instructions burned: 6 (million)
% 2.06/0.65 % (3861996)Instruction limit reached!
% 2.06/0.65 % (3861996)------------------------------
% 2.06/0.65 % (3861996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.65 % (3861996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.65 % (3861996)CaDiCaL version: 2.1.3
% 2.06/0.65 % (3861996)Termination reason: Instruction limit
% 2.06/0.65 % (3861996)Termination phase: shuffling
% 2.06/0.65 % (3861996)Time elapsed: 0.005 s
% 2.06/0.65 % (3861996)Peak memory usage: 10 MB
% 2.06/0.65 % (3861996)Instructions burned: 22 (million)
% 2.06/0.65 % (3861980)Instruction limit reached!
% 2.06/0.65 % (3861980)------------------------------
% 2.06/0.65 % (3861980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.65 % (3861980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.65 % (3861980)CaDiCaL version: 2.1.3
% 2.06/0.65 % (3861980)Termination reason: Instruction limit
% 2.06/0.65 % (3861980)Termination phase: Property scanning
% 2.06/0.65 % (3861980)Time elapsed: 0.066 s
% 2.06/0.65 % (3861980)Peak memory usage: 13 MB
% 2.06/0.65 % (3861980)Instructions burned: 145 (million)
% 2.06/0.65 % (3862000)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2160199147:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.06/0.65 % (3861999)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3407690238:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.06/0.65 % (3861999)Instruction limit reached!
% 2.06/0.65 % (3861999)------------------------------
% 2.06/0.65 % (3861999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.65 % (3861999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.65 % (3861999)CaDiCaL version: 2.1.3
% 2.06/0.65 % (3861999)Termination reason: Instruction limit
% 2.06/0.65 % (3861999)Termination phase: shuffling
% 2.06/0.65 % (3861999)Time elapsed: 0.009 s
% 2.06/0.65 % (3861999)Peak memory usage: 10 MB
% 2.06/0.65 % (3861999)Instructions burned: 21 (million)
% 2.06/0.65 % (3862001)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=1201371890:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.06/0.65 % (3862005)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=3155659373:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.06/0.65 % (3861989)Instruction limit reached!
% 2.06/0.65 % (3861989)------------------------------
% 2.06/0.65 % (3861989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.65 % (3861989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.65 % (3861989)CaDiCaL version: 2.1.3
% 2.06/0.65 % (3861989)Termination reason: Instruction limit
% 2.06/0.65 % (3861989)Termination phase: Saturation
% 2.06/0.65 % (3861989)Time elapsed: 0.088 s
% 2.06/0.65 % (3861989)Peak memory usage: 15 MB
% 2.06/0.65 % (3861989)Instructions burned: 182 (million)
% 2.06/0.65 % (3861922) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3861914-3861922"...
% 2.06/0.65 % (3861993)Instruction limit reached!
% 2.06/0.65 % (3861993)------------------------------
% 2.06/0.65 % (3861993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.65 % (3861993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.65 % (3861993)CaDiCaL version: 2.1.3
% 2.06/0.65 % (3861993)Termination reason: Instruction limit
% 2.06/0.65 % (3861993)Termination phase: Saturation
% 2.06/0.65 % (3861993)Time elapsed: 0.077 s
% 2.06/0.65 % (3861993)Peak memory usage: 14 MB
% 2.06/0.65 % (3861993)Instructions burned: 170 (million)
% 2.06/0.65 % (3861922)...printing done.
% 2.06/0.65 % (3861922)Refutation found. Thanks to Tanya!
% 2.06/0.65 % SZS status Theorem for theBenchmark
% 2.06/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.06/0.65 % (3861922)------------------------------
% 2.06/0.65 % (3861922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.65 % (3861922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.65 % (3861922)CaDiCaL version: 2.1.3
% 2.06/0.65 % (3861922)Termination reason: Refutation
% 2.06/0.65 % (3861922)Time elapsed: 0.296 s
% 2.06/0.65 % (3861922)Peak memory usage: 17 MB
% 2.06/0.65 % (3861922)Instructions burned: 608 (million)
% 2.06/0.65 % (3861914)Success in time 0.35 s
% 2.06/0.65 % Vampire exiting
%------------------------------------------------------------------------------