%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP186^1 : 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 : n019.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 08:08:43 AM UTC 2026
% Result : Theorem 0.59s 0.53s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 52 ( 14 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 232 ( 10 ~; 3 |; 0 &; 216 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 17 ( 16 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 231 ( 228 usr; 15 con; 0-12 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
noptio751120898ion_pi: $tType ).
thf(type_def_6,type,
noptio2087446135ion_pi: $tType ).
thf(type_def_7,type,
noptio570777408ubject: $tType ).
thf(type_def_8,type,
noptio435234344reeRes: $tType ).
thf(type_def_9,type,
noptio1926134715n_name: $tType ).
thf(type_def_10,type,
noptio354675977ion_pi: $tType ).
thf(type_def_11,type,
noption_Late_subject: $tType ).
thf(type_def_12,type,
noption_Late_freeRes: $tType ).
thf(type_def_13,type,
noption_name: $tType ).
thf(type_def_14,type,
noption_pi: $tType ).
thf(type_def_15,type,
set_name: $tType ).
thf(type_def_16,type,
late_residual: $tType ).
thf(type_def_17,type,
late_subject: $tType ).
thf(type_def_18,type,
late_freeRes: $tType ).
thf(type_def_19,type,
name: $tType ).
thf(type_def_20,type,
pi: $tType ).
thf(type_def_21,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
bang: pi > pi ).
thf(func_def_1,type,
input: name > name > pi > pi ).
thf(func_def_2,type,
match: name > name > pi > pi ).
thf(func_def_3,type,
mismatch: name > name > pi > pi ).
thf(func_def_4,type,
output: name > name > pi > pi ).
thf(func_def_5,type,
par: pi > pi > pi ).
thf(func_def_6,type,
piNil: pi ).
thf(func_def_7,type,
res: name > pi > pi ).
thf(func_def_8,type,
sum: pi > pi > pi ).
thf(func_def_9,type,
tau: pi > pi ).
thf(func_def_10,type,
pi_rec_pi: pi > ( name > name > pi > pi > pi ) > ( pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( pi > pi > pi > pi > pi ) > ( pi > pi > pi > pi > pi ) > ( name > pi > pi > pi ) > ( pi > pi > pi ) > pi > pi ).
thf(func_def_11,type,
pi_rec802206470ion_pi: ( name > noption_pi ) > ( name > name > pi > ( name > noption_pi ) > name > noption_pi ) > ( pi > ( name > noption_pi ) > name > noption_pi ) > ( name > name > pi > ( name > noption_pi ) > name > noption_pi ) > ( name > name > pi > ( name > noption_pi ) > name > noption_pi ) > ( name > name > pi > ( name > noption_pi ) > name > noption_pi ) > ( pi > pi > ( name > noption_pi ) > ( name > noption_pi ) > name > noption_pi ) > ( pi > pi > ( name > noption_pi ) > ( name > noption_pi ) > name > noption_pi ) > ( name > pi > ( name > noption_pi ) > name > noption_pi ) > ( pi > ( name > noption_pi ) > name > noption_pi ) > pi > ( name > noption_pi ) > $o ).
thf(func_def_12,type,
pi_rec_set_name: name > ( name > name > pi > name > name ) > ( pi > name > name ) > ( name > name > pi > name > name ) > ( name > name > pi > name > name ) > ( name > name > pi > name > name ) > ( pi > pi > name > name > name ) > ( pi > pi > name > name > name ) > ( name > pi > name > name ) > ( pi > name > name ) > pi > name > $o ).
thf(func_def_13,type,
pi_rec_set_pi: pi > ( name > name > pi > pi > pi ) > ( pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( pi > pi > pi > pi > pi ) > ( pi > pi > pi > pi > pi ) > ( name > pi > pi > pi ) > ( pi > pi > pi ) > pi > pi > $o ).
thf(func_def_14,type,
pi_rec1156860983reeRes: late_freeRes > ( name > name > pi > late_freeRes > late_freeRes ) > ( pi > late_freeRes > late_freeRes ) > ( name > name > pi > late_freeRes > late_freeRes ) > ( name > name > pi > late_freeRes > late_freeRes ) > ( name > name > pi > late_freeRes > late_freeRes ) > ( pi > pi > late_freeRes > late_freeRes > late_freeRes ) > ( pi > pi > late_freeRes > late_freeRes > late_freeRes ) > ( name > pi > late_freeRes > late_freeRes ) > ( pi > late_freeRes > late_freeRes ) > pi > late_freeRes > $o ).
thf(func_def_15,type,
pi_rec232630607ubject: late_subject > ( name > name > pi > late_subject > late_subject ) > ( pi > late_subject > late_subject ) > ( name > name > pi > late_subject > late_subject ) > ( name > name > pi > late_subject > late_subject ) > ( name > name > pi > late_subject > late_subject ) > ( pi > pi > late_subject > late_subject > late_subject ) > ( pi > pi > late_subject > late_subject > late_subject ) > ( name > pi > late_subject > late_subject ) > ( pi > late_subject > late_subject ) > pi > late_subject > $o ).
thf(func_def_16,type,
subs: pi > name > name > pi ).
thf(func_def_17,type,
subst_name: name > name > name > name ).
thf(func_def_18,type,
finite_finite_name: set_name > $o ).
thf(func_def_19,type,
if_name: $o > name > name > name ).
thf(func_def_20,type,
late_bangPred: pi > pi > $o ).
thf(func_def_21,type,
late_OutputR: name > name > late_freeRes ).
thf(func_def_22,type,
late_TauR: late_freeRes ).
thf(func_def_23,type,
late_BoundR: late_subject > name > pi > late_residual ).
thf(func_def_24,type,
late_FreeR: late_freeRes > pi > late_residual ).
thf(func_def_25,type,
late_r1174711868c_name: ( late_subject > name > pi > name ) > ( late_freeRes > pi > name ) > late_residual > name ).
thf(func_def_26,type,
late_residual_rec_pi: ( late_subject > name > pi > pi ) > ( late_freeRes > pi > pi ) > late_residual > pi ).
thf(func_def_27,type,
late_r124702629reeRes: ( late_subject > name > pi > late_freeRes ) > ( late_freeRes > pi > late_freeRes ) > late_residual > late_freeRes ).
thf(func_def_28,type,
late_r1347955901ubject: ( late_subject > name > pi > late_subject ) > ( late_freeRes > pi > late_subject ) > late_residual > late_subject ).
thf(func_def_29,type,
late_r750878080ion_pi: ( late_subject > name > pi > name > noption_pi ) > ( late_freeRes > pi > name > noption_pi ) > late_residual > ( name > noption_pi ) > $o ).
thf(func_def_30,type,
late_r1742481968t_name: ( late_subject > name > pi > name ) > ( late_freeRes > pi > name ) > late_residual > name > $o ).
thf(func_def_31,type,
late_r1261898622set_pi: ( late_subject > name > pi > pi ) > ( late_freeRes > pi > pi ) > late_residual > pi > $o ).
thf(func_def_32,type,
late_r1613948593reeRes: ( late_subject > name > pi > late_freeRes ) > ( late_freeRes > pi > late_freeRes ) > late_residual > late_freeRes > $o ).
thf(func_def_33,type,
late_r689718217ubject: ( late_subject > name > pi > late_subject ) > ( late_freeRes > pi > late_subject ) > late_residual > late_subject > $o ).
thf(func_def_34,type,
late_BoundOutputS: name > late_subject ).
thf(func_def_35,type,
late_InputS: name > late_subject ).
thf(func_def_36,type,
late_transitions: pi > late_residual > $o ).
thf(func_def_37,type,
sup_sup_set_name: set_name > set_name > set_name ).
thf(func_def_38,type,
abs_fu446471607ion_pi: name > ( name > noptio354675977ion_pi ) > name > noptio2087446135ion_pi ).
thf(func_def_39,type,
abs_fu1394407909n_name: name > ( name > noption_name ) > name > noptio1926134715n_name ).
thf(func_def_40,type,
abs_fu1614711987ion_pi: name > ( name > noption_pi ) > name > noptio354675977ion_pi ).
thf(func_def_41,type,
abs_fu1763130856reeRes: name > ( name > noption_Late_freeRes ) > name > noptio435234344reeRes ).
thf(func_def_42,type,
abs_fu1705804544ubject: name > ( name > noption_Late_subject ) > name > noptio570777408ubject ).
thf(func_def_43,type,
abs_fu1682643010ion_pi: name > ( late_freeRes > pi > name > noption_pi ) > name > noptio751120898ion_pi ).
thf(func_def_44,type,
abs_fun_name_name: name > name > name > noption_name ).
thf(func_def_45,type,
abs_fun_name_pi: name > pi > name > noption_pi ).
thf(func_def_46,type,
abs_fu681348580reeRes: name > late_freeRes > name > noption_Late_freeRes ).
thf(func_def_47,type,
abs_fu1904601852ubject: name > late_subject > name > noption_Late_subject ).
thf(func_def_48,type,
fresh_1575363742ion_pi: name > ( name > noptio2087446135ion_pi ) > $o ).
thf(func_def_49,type,
fresh_1742414570n_name: name > ( name > noptio1926134715n_name ) > $o ).
thf(func_def_50,type,
fresh_92802872ion_pi: name > ( name > noptio354675977ion_pi ) > $o ).
thf(func_def_51,type,
fresh_1215331279reeRes: name > ( name > noptio435234344reeRes ) > $o ).
thf(func_def_52,type,
fresh_600418535ubject: name > ( name > noptio570777408ubject ) > $o ).
thf(func_def_53,type,
fresh_481208489ion_pi: name > ( name > noptio751120898ion_pi ) > $o ).
thf(func_def_54,type,
fresh_1093033124n_name: name > ( name > noption_name ) > $o ).
thf(func_def_55,type,
fresh_543891186ion_pi: name > ( name > noption_pi ) > $o ).
thf(func_def_56,type,
fresh_785364841reeRes: name > ( name > noption_Late_freeRes ) > $o ).
thf(func_def_57,type,
fresh_728038529ubject: name > ( name > noption_Late_subject ) > $o ).
thf(func_def_58,type,
fresh_7927363ion_pi: name > ( late_freeRes > pi > name > noption_pi ) > $o ).
thf(func_def_59,type,
fresh_1030632537i_name: name > ( late_freeRes > pi > name ) > $o ).
thf(func_def_60,type,
fresh_1011532071_pi_pi: name > ( late_freeRes > pi > pi ) > $o ).
thf(func_def_61,type,
fresh_256112244reeRes: name > ( late_freeRes > pi > late_freeRes ) > $o ).
thf(func_def_62,type,
fresh_198785932ubject: name > ( late_freeRes > pi > late_subject ) > $o ).
thf(func_def_63,type,
fresh_747777846ion_pi: name > ( late_subject > name > pi > name > noption_pi ) > $o ).
thf(func_def_64,type,
fresh_621211324i_name: name > ( late_subject > name > pi > name ) > $o ).
thf(func_def_65,type,
fresh_1438126218_pi_pi: name > ( late_subject > name > pi > pi ) > $o ).
thf(func_def_66,type,
fresh_660367079reeRes: name > ( late_subject > name > pi > late_freeRes ) > $o ).
thf(func_def_67,type,
fresh_795910143ubject: name > ( late_subject > name > pi > late_subject ) > $o ).
thf(func_def_68,type,
fresh_name_name: name > name > $o ).
thf(func_def_69,type,
fresh_name_pi: name > pi > $o ).
thf(func_def_70,type,
fresh_1641682979reeRes: name > late_freeRes > $o ).
thf(func_def_71,type,
fresh_81631222sidual: name > late_residual > $o ).
thf(func_def_72,type,
fresh_717452603ubject: name > late_subject > $o ).
thf(func_def_73,type,
supp_n1987783534i_name: ( name > name > pi > ( name > noption_pi ) > name > noption_pi ) > set_name ).
thf(func_def_74,type,
supp_n612431512e_name: ( name > name > pi > name > name ) > set_name ).
thf(func_def_75,type,
supp_n1977765016i_name: ( name > name > pi > pi > pi ) > set_name ).
thf(func_def_76,type,
supp_n337505932s_name: ( name > name > pi > late_freeRes > late_freeRes ) > set_name ).
thf(func_def_77,type,
supp_n200783964t_name: ( name > name > pi > late_subject > late_subject ) > set_name ).
thf(func_def_78,type,
supp_n52582513i_name: ( name > pi > ( name > noption_pi ) > name > noption_pi ) > set_name ).
thf(func_def_79,type,
supp_n116460699e_name: ( name > pi > name > name ) > set_name ).
thf(func_def_80,type,
supp_n96533147i_name: ( name > pi > pi > pi ) > set_name ).
thf(func_def_81,type,
supp_n1410452111s_name: ( name > pi > late_freeRes > late_freeRes ) > set_name ).
thf(func_def_82,type,
supp_n122125407t_name: ( name > pi > late_subject > late_subject ) > set_name ).
thf(func_def_83,type,
supp_n1003758744i_name: ( name > noptio354675977ion_pi ) > set_name ).
thf(func_def_84,type,
supp_n352473082e_name: ( name > noption_name ) > set_name ).
thf(func_def_85,type,
supp_n468628396i_name: ( name > noption_pi ) > set_name ).
thf(func_def_86,type,
supp_n252280103s_name: ( name > noption_Late_freeRes ) > set_name ).
thf(func_def_87,type,
supp_n1630792207t_name: ( name > noption_Late_subject ) > set_name ).
thf(func_def_88,type,
supp_p1320058820i_name: ( pi > ( name > noption_pi ) > name > noption_pi ) > set_name ).
thf(func_def_89,type,
supp_p1239856366e_name: ( pi > name > name ) > set_name ).
thf(func_def_90,type,
supp_p1592910632i_name: ( pi > pi > ( name > noption_pi ) > ( name > noption_pi ) > name > noption_pi ) > set_name ).
thf(func_def_91,type,
supp_p1618090470e_name: ( pi > pi > name > name > name ) > set_name ).
thf(func_def_92,type,
supp_p812767768i_name: ( pi > pi > pi > pi > pi ) > set_name ).
thf(func_def_93,type,
supp_p1358344533s_name: ( pi > pi > late_freeRes > late_freeRes > late_freeRes ) > set_name ).
thf(func_def_94,type,
supp_p1221108749t_name: ( pi > pi > late_subject > late_subject > late_subject ) > set_name ).
thf(func_def_95,type,
supp_pi_pi_pi_name: ( pi > pi > pi ) > set_name ).
thf(func_def_96,type,
supp_p71246050s_name: ( pi > late_freeRes > late_freeRes ) > set_name ).
thf(func_def_97,type,
supp_p742701746t_name: ( pi > late_subject > late_subject ) > set_name ).
thf(func_def_98,type,
supp_L635439693i_name: ( late_freeRes > pi > name > noption_pi ) > set_name ).
thf(func_def_99,type,
supp_L926407557e_name: ( late_freeRes > pi > name ) > set_name ).
thf(func_def_100,type,
supp_L2052723895i_name: ( late_freeRes > pi > pi ) > set_name ).
thf(func_def_101,type,
supp_L381160156s_name: ( late_freeRes > pi > late_freeRes ) > set_name ).
thf(func_def_102,type,
supp_L1759672260t_name: ( late_freeRes > pi > late_subject ) > set_name ).
thf(func_def_103,type,
supp_L3230824i_name: ( late_subject > name > pi > name > noption_pi ) > set_name ).
thf(func_def_104,type,
supp_L538372628e_name: ( late_subject > name > pi > name ) > set_name ).
thf(func_def_105,type,
supp_L729745222i_name: ( late_subject > name > pi > pi ) > set_name ).
thf(func_def_106,type,
supp_L1178477943s_name: ( late_subject > name > pi > late_freeRes ) > set_name ).
thf(func_def_107,type,
supp_L1144036959t_name: ( late_subject > name > pi > late_subject ) > set_name ).
thf(func_def_108,type,
supp_name_name: name > set_name ).
thf(func_def_109,type,
supp_pi_name: pi > set_name ).
thf(func_def_110,type,
supp_L1228270395s_name: late_freeRes > set_name ).
thf(func_def_111,type,
supp_L1174042202l_name: late_residual > set_name ).
thf(func_def_112,type,
supp_L1174290467t_name: late_subject > set_name ).
thf(func_def_113,type,
suppor1289515356ion_pi: set_name > ( name > noption_pi ) > $o ).
thf(func_def_114,type,
supports_name_name: set_name > name > $o ).
thf(func_def_115,type,
supports_name_pi: set_name > pi > $o ).
thf(func_def_116,type,
suppor1556658829reeRes: set_name > late_freeRes > $o ).
thf(func_def_117,type,
suppor632428453ubject: set_name > late_subject > $o ).
thf(func_def_118,type,
collect_name: ( name > $o ) > set_name ).
thf(func_def_119,type,
member_name: name > set_name > $o ).
thf(func_def_120,type,
p: pi ).
thf(func_def_121,type,
pqr: pi ).
thf(func_def_122,type,
p2: pi ).
thf(func_def_123,type,
q: pi ).
thf(func_def_124,type,
qr: pi ).
thf(func_def_125,type,
q2: pi ).
thf(func_def_126,type,
r: pi ).
thf(func_def_127,type,
alpha: late_freeRes ).
thf(func_def_128,type,
a: name ).
thf(func_def_129,type,
b: name ).
thf(func_def_130,type,
x: name ).
thf(func_def_134,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_135,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_136,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_137,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_138,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_139,type,
vNOT: $o > $o ).
thf(func_def_140,type,
vOR: $o > $o > $o ).
thf(func_def_141,type,
vAND: $o > $o > $o ).
thf(func_def_142,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_143,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_144,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_145,type,
sP0: pi > pi > late_subject > name > pi > $o ).
thf(func_def_146,type,
sK1: pi > pi > name > late_freeRes > late_freeRes ).
thf(func_def_147,type,
sK2: pi > pi > name > late_freeRes > pi ).
thf(func_def_148,type,
sK3: pi > pi > name > late_freeRes > pi ).
thf(func_def_149,type,
sK4: pi > pi > name > late_freeRes > name ).
thf(func_def_150,type,
sK5: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_151,type,
sK6: ( late_subject > late_residual > $o ) > late_freeRes ).
thf(func_def_152,type,
sK7: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_153,type,
sK8: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_154,type,
sK9: ( late_subject > late_residual > $o ) > name ).
thf(func_def_155,type,
sK10: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_156,type,
sK11: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_157,type,
sK12: late_subject > pi > pi > name > ( pi > $o ) > pi ).
thf(func_def_158,type,
sK13: late_subject > pi > pi > name > ( pi > $o ) > pi ).
thf(func_def_159,type,
sK14: ( name > late_residual > $o ) > pi ).
thf(func_def_160,type,
sK15: ( name > late_residual > $o ) > name ).
thf(func_def_161,type,
sK16: ( name > late_residual > $o ) > name ).
thf(func_def_162,type,
sK17: ( name > late_residual > $o ) > late_subject ).
thf(func_def_163,type,
sK18: ( name > late_residual > $o ) > late_freeRes ).
thf(func_def_164,type,
sK19: ( name > late_residual > $o ) > pi ).
thf(func_def_165,type,
sK20: ( name > late_residual > $o ) > name ).
thf(func_def_166,type,
sK21: pi > pi > late_subject > name > pi > pi ).
thf(func_def_167,type,
sK22: pi > pi > late_subject > name > pi > late_subject ).
thf(func_def_168,type,
sK23: pi > pi > late_subject > name > pi > name ).
thf(func_def_169,type,
sK24: pi > pi > late_subject > name > pi > pi ).
thf(func_def_170,type,
sK25: pi > pi > late_subject > name > pi > pi ).
thf(func_def_171,type,
sK26: late_subject > pi > pi > name > pi > pi ).
thf(func_def_172,type,
sK27: late_subject > pi > pi > name > pi > pi ).
thf(func_def_173,type,
sK28: late_subject > pi > pi > name > pi > pi ).
thf(func_def_174,type,
sK29: late_subject > pi > pi > name > pi > late_subject ).
thf(func_def_175,type,
sK30: late_subject > pi > pi > name > pi > name ).
thf(func_def_176,type,
sK31: ( pi > late_residual > $o ) > late_subject ).
thf(func_def_177,type,
sK32: ( pi > late_residual > $o ) > name ).
thf(func_def_178,type,
sK33: ( pi > late_residual > $o ) > pi ).
thf(func_def_179,type,
sK34: ( pi > late_residual > $o ) > pi ).
thf(func_def_180,type,
sK35: ( pi > late_residual > $o ) > late_freeRes ).
thf(func_def_181,type,
sK36: ( pi > late_residual > $o ) > pi ).
thf(func_def_182,type,
sK37: ( pi > late_residual > $o ) > pi ).
thf(func_def_183,type,
sK38: ( late_residual > $o ) > name ).
thf(func_def_184,type,
sK39: ( late_residual > $o ) > late_subject ).
thf(func_def_185,type,
sK40: ( late_residual > $o ) > pi ).
thf(func_def_186,type,
sK41: ( late_residual > $o ) > pi ).
thf(func_def_187,type,
sK42: ( late_residual > $o ) > late_freeRes ).
thf(func_def_188,type,
sK43: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_189,type,
sK44: ( late_subject > late_residual > $o ) > name ).
thf(func_def_190,type,
sK45: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_191,type,
sK46: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_192,type,
sK47: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_193,type,
sK48: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_194,type,
sK49: ( late_subject > late_residual > $o ) > late_freeRes ).
thf(func_def_195,type,
sK50: ( name > late_residual > $o ) > pi ).
thf(func_def_196,type,
sK51: ( name > late_residual > $o ) > name ).
thf(func_def_197,type,
sK52: ( name > late_residual > $o ) > late_freeRes ).
thf(func_def_198,type,
sK53: ( name > late_residual > $o ) > pi ).
thf(func_def_199,type,
sK54: ( name > late_residual > $o ) > late_subject ).
thf(func_def_200,type,
sK55: ( name > late_residual > $o ) > name ).
thf(func_def_201,type,
sK56: ( name > late_residual > $o ) > name ).
thf(func_def_202,type,
sK57: ( late_freeRes > $o ) > name ).
thf(func_def_203,type,
sK58: ( late_freeRes > $o ) > name ).
thf(func_def_204,type,
sK59: name > ( pi > $o ) > pi > late_freeRes > pi ).
thf(func_def_205,type,
sK60: late_residual > pi > pi ).
thf(func_def_206,type,
sK61: late_freeRes > name ).
thf(func_def_207,type,
sK62: late_freeRes > name ).
thf(func_def_208,type,
sK63: late_residual > pi > pi ).
thf(func_def_209,type,
sK64: ( pi > late_residual > $o ) > late_freeRes ).
thf(func_def_210,type,
sK65: ( pi > late_residual > $o ) > pi ).
thf(func_def_211,type,
sK66: ( pi > late_residual > $o ) > pi ).
thf(func_def_212,type,
sK67: ( pi > late_residual > $o ) > late_subject ).
thf(func_def_213,type,
sK68: ( pi > late_residual > $o ) > pi ).
thf(func_def_214,type,
sK69: ( pi > late_residual > $o ) > pi ).
thf(func_def_215,type,
sK70: ( pi > late_residual > $o ) > name ).
thf(func_def_216,type,
sK71: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_217,type,
sK72: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_218,type,
sK73: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_219,type,
sK74: ( late_freeRes > late_residual > $o ) > name ).
thf(func_def_220,type,
sK75: ( late_freeRes > late_residual > $o ) > late_subject ).
thf(func_def_221,type,
sK76: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_222,type,
sK77: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_223,type,
sK78: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_224,type,
sK79: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_225,type,
sK80: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_226,type,
sK81: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_227,type,
sK82: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_228,type,
sK83: ( late_freeRes > late_residual > $o ) > name ).
thf(func_def_229,type,
sK84: ( late_freeRes > late_residual > $o ) > late_subject ).
thf(f4,axiom,
late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ late_TauR @ ( par @ p2 @ ( subs @ q2 @ x @ b ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_A_092_060tau_062_A_092_060prec_062_AP_H_A_092_060parallel_062_AQ_H_091x_058_058_061b_093_092_060close_062) ).
thf(f12,axiom,
! [X0: pi,X2: pi,X1: late_freeRes,X3: pi] :
( ( late_transitions @ X0 @ ( late_FreeR @ X1 @ X2 ) )
=> ( late_transitions @ ( par @ X0 @ X3 ) @ ( late_FreeR @ X1 @ ( par @ X2 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_Par1F) ).
thf(f353,conjecture,
late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( par @ ( par @ p2 @ ( subs @ q2 @ x @ b ) ) @ r ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f354,negated_conjecture,
~ ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( par @ ( par @ p2 @ ( subs @ q2 @ x @ b ) ) @ r ) ) ),
inference(negated_conjecture,[status(cth)],[f353]) ).
thf(f460,plain,
~ ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( par @ ( par @ p2 @ ( subs @ q2 @ x @ b ) ) @ r ) ) ),
inference(rectify,[],[f354]) ).
thf(f461,plain,
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( par @ ( par @ p2 @ ( subs @ q2 @ x @ b ) ) @ r ) ) )
!= $true ),
inference(fool_elimination,[],[f460]) ).
thf(f733,plain,
late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ late_TauR @ ( par @ p2 @ ( subs @ q2 @ x @ b ) ) ),
inference(rectify,[],[f4]) ).
thf(f734,plain,
( ( late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ late_TauR @ ( par @ p2 @ ( subs @ q2 @ x @ b ) ) ) )
= $true ),
inference(fool_elimination,[],[f733]) ).
thf(f816,plain,
! [X0: pi,X1: pi,X2: late_freeRes,X3: pi] :
( ( late_transitions @ X0 @ ( late_FreeR @ X2 @ X1 ) )
=> ( late_transitions @ ( par @ X0 @ X3 ) @ ( late_FreeR @ X2 @ ( par @ X1 @ X3 ) ) ) ),
inference(rectify,[],[f12]) ).
thf(f817,plain,
! [X0: pi,X2: late_freeRes,X3: pi,X1: pi] :
( ( ( late_transitions @ X0 @ ( late_FreeR @ X2 @ X1 ) )
= $true )
=> ( ( late_transitions @ ( par @ X0 @ X3 ) @ ( late_FreeR @ X2 @ ( par @ X1 @ X3 ) ) )
= $true ) ),
inference(fool_elimination,[],[f816]) ).
thf(f880,plain,
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( par @ ( par @ p2 @ ( subs @ q2 @ x @ b ) ) @ r ) ) )
!= $true ),
inference(flattening,[],[f461]) ).
thf(f944,plain,
! [X0: pi,X1: pi,X2: late_freeRes,X3: pi] :
( ( ( late_transitions @ ( par @ X0 @ X3 ) @ ( late_FreeR @ X2 @ ( par @ X1 @ X3 ) ) )
= $true )
| ( ( late_transitions @ X0 @ ( late_FreeR @ X2 @ X1 ) )
!= $true ) ),
inference(ennf_transformation,[],[f817]) ).
thf(f1106,plain,
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( par @ ( par @ p2 @ ( subs @ q2 @ x @ b ) ) @ r ) ) )
!= $true ),
inference(cnf_transformation,[],[f880]) ).
thf(f1109,plain,
( ( late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ late_TauR @ ( par @ p2 @ ( subs @ q2 @ x @ b ) ) ) )
= $true ),
inference(cnf_transformation,[],[f734]) ).
thf(f1137,plain,
! [X2: late_freeRes,X3: pi,X0: pi,X1: pi] :
( ( ( late_transitions @ ( par @ X0 @ X3 ) @ ( late_FreeR @ X2 @ ( par @ X1 @ X3 ) ) )
= $true )
| ( ( late_transitions @ X0 @ ( late_FreeR @ X2 @ X1 ) )
!= $true ) ),
inference(cnf_transformation,[],[f944]) ).
thf(f1194,plain,
( ( ( late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ late_TauR @ ( par @ p2 @ ( subs @ q2 @ x @ b ) ) ) )
!= $true )
| ( $true != $true ) ),
inference(superposition,[],[f1106,f1137]) ).
thf(f1197,plain,
( ( late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ late_TauR @ ( par @ p2 @ ( subs @ q2 @ x @ b ) ) ) )
!= $true ),
inference(trivial_inequality_removal,[],[f1194]) ).
thf(f1207,plain,
$false,
inference(forward_subsumption_resolution,[],[f1197,f1109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP186^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n019.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Tue Sep 29 20:08:33 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.26 Running higher-order theorem proving
% 0.22/0.35 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
% 0.59/0.52 % (1281737)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.59/0.52 % (1281759)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1327248763:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.59/0.52 % (1281765)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.59/0.52 % (1281765)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
% 0.59/0.52 % (1281760)lrs+10_16_si=on:nwc=1.5:random_seed=1127279198:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.59/0.52 % (1281761)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=782840370:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.59/0.52 % (1281763)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4137816939:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.59/0.52 % (1281762)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=886932231: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)
% 0.59/0.52 % (1281764)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2891131021:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.59/0.52 % (1281765)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=2317529132:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.59/0.52 % (1281761)Instruction limit reached!
% 0.59/0.52 % (1281761)------------------------------
% 0.59/0.52 % (1281761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.52 % (1281761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.52 % (1281761)CaDiCaL version: 2.1.3
% 0.59/0.52 % (1281761)Termination reason: Instruction limit
% 0.59/0.52 % (1281761)Termination phase: shuffling
% 0.59/0.52 % (1281761)Time elapsed: 0.006 s
% 0.59/0.52 % (1281761)Peak memory usage: 10 MB
% 0.59/0.52 % (1281761)Instructions burned: 3 (million)
% 0.59/0.52 % (1281760)Instruction limit reached!
% 0.59/0.52 % (1281760)------------------------------
% 0.59/0.52 % (1281760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.52 % (1281760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.52 % (1281760)CaDiCaL version: 2.1.3
% 0.59/0.52 % (1281760)Termination reason: Instruction limit
% 0.59/0.52 % (1281760)Termination phase: shuffling
% 0.59/0.52 % (1281760)Time elapsed: 0.011 s
% 0.59/0.52 % (1281760)Peak memory usage: 11 MB
% 0.59/0.52 % (1281760)Instructions burned: 26 (million)
% 0.59/0.52 % (1281763)Instruction limit reached!
% 0.59/0.52 % (1281763)------------------------------
% 0.59/0.52 % (1281763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.52 % (1281763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.52 % (1281763)CaDiCaL version: 2.1.3
% 0.59/0.52 % (1281763)Termination reason: Instruction limit
% 0.59/0.52 % (1281763)Termination phase: shuffling
% 0.59/0.52 % (1281763)Time elapsed: 0.011 s
% 0.59/0.52 % (1281763)Peak memory usage: 11 MB
% 0.59/0.52 % (1281763)Instructions burned: 26 (million)
% 0.59/0.52 % (1281759)Instruction limit reached!
% 0.59/0.52 % (1281759)------------------------------
% 0.59/0.52 % (1281759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.52 % (1281759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.52 % (1281759)CaDiCaL version: 2.1.3
% 0.59/0.52 % (1281759)Termination reason: Instruction limit
% 0.59/0.52 % (1281759)Termination phase: Preprocessing 1
% 0.59/0.52 % (1281759)Time elapsed: 0.021 s
% 0.59/0.52 % (1281759)Peak memory usage: 11 MB
% 0.59/0.52 % (1281759)Instructions burned: 88 (million)
% 0.59/0.52 % (1281786)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1437708935:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.59/0.52 % (1281785)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.59/0.53 % (1281781)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2905573479:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.59/0.53 % (1281786)Instruction limit reached!
% 0.59/0.53 % (1281786)------------------------------
% 0.59/0.53 % (1281786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.53 % (1281786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.53 % (1281786)CaDiCaL version: 2.1.3
% 0.59/0.53 % (1281786)Termination reason: Instruction limit
% 0.59/0.53 % (1281786)Termination phase: shuffling
% 0.59/0.53 % (1281786)Time elapsed: 0.003 s
% 0.59/0.53 % (1281786)Peak memory usage: 11 MB
% 0.59/0.53 % (1281786)Instructions burned: 13 (million)
% 0.59/0.53 % (1281781)Instruction limit reached!
% 0.59/0.53 % (1281781)------------------------------
% 0.59/0.53 % (1281781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.53 % (1281781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.53 % (1281781)CaDiCaL version: 2.1.3
% 0.59/0.53 % (1281781)Termination reason: Instruction limit
% 0.59/0.53 % (1281781)Termination phase: shuffling
% 0.59/0.53 % (1281781)Time elapsed: 0.002 s
% 0.59/0.53 % (1281781)Peak memory usage: 11 MB
% 0.59/0.53 % (1281781)Instructions burned: 3 (million)
% 0.59/0.53 % (1281785)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3344293739:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.59/0.53 % (1281784)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2860967936:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.59/0.53 % (1281764)Instruction limit reached!
% 0.59/0.53 % (1281764)------------------------------
% 0.59/0.53 % (1281764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.53 % (1281764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.53 % (1281764)CaDiCaL version: 2.1.3
% 0.59/0.53 % (1281764)Termination reason: Instruction limit
% 0.59/0.53 % (1281764)Termination phase: Property scanning
% 0.59/0.53 % (1281764)Time elapsed: 0.032 s
% 0.59/0.53 % (1281764)Peak memory usage: 11 MB
% 0.59/0.53 % (1281764)Instructions burned: 76 (million)
% 0.59/0.53 % (1281784)Instruction limit reached!
% 0.59/0.53 % (1281784)------------------------------
% 0.59/0.53 % (1281784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.53 % (1281784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.53 % (1281784)CaDiCaL version: 2.1.3
% 0.59/0.53 % (1281784)Termination reason: Instruction limit
% 0.59/0.53 % (1281784)Termination phase: shuffling
% 0.59/0.53 % (1281784)Time elapsed: 0.003 s
% 0.59/0.53 % (1281784)Peak memory usage: 10 MB
% 0.59/0.53 % (1281784)Instructions burned: 6 (million)
% 0.59/0.53 % (1281794)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
% 0.59/0.53 % (1281794)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.59/0.53 % (1281785)Instruction limit reached!
% 0.59/0.53 % (1281785)------------------------------
% 0.59/0.53 % (1281785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.53 % (1281785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.53 % (1281785)CaDiCaL version: 2.1.3
% 0.59/0.53 % (1281785)Termination reason: Instruction limit
% 0.59/0.53 % (1281785)Termination phase: shuffling
% 0.59/0.53 % (1281785)Time elapsed: 0.005 s
% 0.59/0.53 % (1281785)Peak memory usage: 10 MB
% 0.59/0.53 % (1281785)Instructions burned: 10 (million)
% 0.59/0.53 % (1281794)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=117176347:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 0.59/0.53 % (1281794)Instruction limit reached!
% 0.59/0.53 % (1281794)------------------------------
% 0.59/0.53 % (1281794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.53 % (1281794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.53 % (1281794)CaDiCaL version: 2.1.3
% 0.59/0.53 % (1281794)Termination reason: Instruction limit
% 0.59/0.53 % (1281794)Termination phase: shuffling
% 0.59/0.53 % (1281794)Time elapsed: 0.007 s
% 0.59/0.53 % (1281794)Peak memory usage: 11 MB
% 0.59/0.53 % (1281794)Instructions burned: 29 (million)
% 0.59/0.53 % (1281796)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=3135529073:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 0.59/0.53 % (1281802)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.59/0.53 % (1281800)lrs+10_1_si=on:cs=on:random_seed=2576305061:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.59/0.53 % (1281802)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=3006898970:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.59/0.53 % (1281803)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3465579629:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.59/0.53 % (1281808)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3953527097:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.59/0.53 % (1281800)Instruction limit reached!
% 0.59/0.53 % (1281800)------------------------------
% 0.59/0.53 % (1281800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.53 % (1281800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.53 % (1281800)CaDiCaL version: 2.1.3
% 0.59/0.53 % (1281800)Termination reason: Instruction limit
% 0.59/0.53 % (1281800)Termination phase: shuffling
% 0.59/0.53 % (1281800)Time elapsed: 0.004 s
% 0.59/0.53 % (1281800)Peak memory usage: 11 MB
% 0.59/0.53 % (1281800)Instructions burned: 8 (million)
% 0.59/0.53 % (1281802)Instruction limit reached!
% 0.59/0.53 % (1281802)------------------------------
% 0.59/0.53 % (1281802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.53 % (1281802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.53 % (1281802)CaDiCaL version: 2.1.3
% 0.59/0.53 % (1281802)Termination reason: Instruction limit
% 0.59/0.53 % (1281802)Termination phase: shuffling
% 0.59/0.53 % (1281802)Time elapsed: 0.002 s
% 0.59/0.53 % (1281802)Peak memory usage: 10 MB
% 0.59/0.53 % (1281802)Instructions burned: 3 (million)
% 0.59/0.53 % (1281765)Instruction limit reached!
% 0.59/0.53 % (1281765)------------------------------
% 0.59/0.53 % (1281765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.53 % (1281765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.53 % (1281765)CaDiCaL version: 2.1.3
% 0.59/0.53 % (1281765)Termination reason: Instruction limit
% 0.59/0.53 % (1281765)Termination phase: Property scanning
% 0.59/0.53 % (1281765)Time elapsed: 0.071 s
% 0.59/0.53 % (1281765)Peak memory usage: 14 MB
% 0.59/0.53 % (1281765)Instructions burned: 157 (million)
% 0.59/0.53 % (1281803)Instruction limit reached!
% 0.59/0.53 % (1281803)------------------------------
% 0.59/0.53 % (1281803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.53 % (1281803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.53 % (1281803)CaDiCaL version: 2.1.3
% 0.59/0.53 % (1281803)Termination reason: Instruction limit
% 0.59/0.53 % (1281803)Termination phase: shuffling
% 0.59/0.53 % (1281803)Time elapsed: 0.016 s
% 0.59/0.53 % (1281803)Peak memory usage: 11 MB
% 0.59/0.53 % (1281803)Instructions burned: 38 (million)
% 0.59/0.53 % (1281823)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2608137685:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.59/0.53 % (1281822)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1539714116:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.59/0.53 % (1281823)Instruction limit reached!
% 0.59/0.53 % (1281823)------------------------------
% 0.59/0.53 % (1281823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.53 % (1281823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.53 % (1281823)CaDiCaL version: 2.1.3
% 0.59/0.53 % (1281823)Termination reason: Instruction limit
% 0.59/0.53 % (1281823)Termination phase: shuffling
% 0.59/0.53 % (1281823)Time elapsed: 0.007 s
% 0.59/0.53 % (1281823)Peak memory usage: 10 MB
% 0.59/0.53 % (1281823)Instructions burned: 15 (million)
% 0.59/0.53 % (1281822)Instruction limit reached!
% 0.59/0.53 % (1281822)------------------------------
% 0.59/0.53 % (1281822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.53 % (1281822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.53 % (1281822)CaDiCaL version: 2.1.3
% 0.59/0.53 % (1281822)Termination reason: Instruction limit
% 0.59/0.53 % (1281822)Termination phase: shuffling
% 0.59/0.53 % (1281822)Time elapsed: 0.011 s
% 0.59/0.53 % (1281822)Peak memory usage: 11 MB
% 0.59/0.53 % (1281822)Instructions burned: 26 (million)
% 0.59/0.53 % (1281796)Instruction limit reached!
% 0.59/0.53 % (1281796)------------------------------
% 0.59/0.53 % (1281796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.53 % (1281796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.53 % (1281796)CaDiCaL version: 2.1.3
% 0.59/0.53 % (1281796)Termination reason: Instruction limit
% 0.59/0.53 % (1281796)Termination phase: shuffling
% 0.59/0.53 % (1281796)Time elapsed: 0.039 s
% 0.59/0.53 % (1281796)Peak memory usage: 12 MB
% 0.59/0.53 % (1281796)Instructions burned: 86 (million)
% 0.59/0.53 % (1281808) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1281737-1281808"...
% 0.59/0.53 % (1281827)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=168302831:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.59/0.53 % (1281829)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=798677451:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.59/0.53 % (1281808)...printing done.
% 0.59/0.53 % (1281808)Refutation found. Thanks to Tanya!
% 0.59/0.53 % SZS status Theorem for theBenchmark
% 0.59/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.59/0.53 % (1281808)------------------------------
% 0.59/0.53 % (1281808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.53 % (1281808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.53 % (1281808)CaDiCaL version: 2.1.3
% 0.59/0.53 % (1281808)Termination reason: Refutation
% 0.59/0.53 % (1281808)Time elapsed: 0.035 s
% 0.59/0.53 % (1281808)Peak memory usage: 14 MB
% 0.59/0.53 % (1281808)Instructions burned: 130 (million)
% 0.59/0.53 % (1281737)Success in time 0.172 s
% 0.59/0.53 % Vampire exiting
%------------------------------------------------------------------------------