%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP185^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 0.94s 0.53s
% Output : Refutation 0.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 141 ( 41 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 484 ( 29 ~; 19 |; 0 &; 427 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Number of types : 17 ( 16 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 210 ( 207 usr; 15 con; 0-11 aty)
% Number of variables : 52 ( 0 ^; 52 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
noptio1065747147ubject: $tType ).
thf(type_def_6,type,
noptio930204083reeRes: $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,
subs: pi > name > name > pi ).
thf(func_def_12,type,
subst_name: name > name > name > name ).
thf(func_def_13,type,
finite_finite_name: set_name > $o ).
thf(func_def_14,type,
if_name: $o > name > name > name ).
thf(func_def_15,type,
late_bangPred: pi > pi > $o ).
thf(func_def_16,type,
late_OutputR: name > name > late_freeRes ).
thf(func_def_17,type,
late_TauR: late_freeRes ).
thf(func_def_18,type,
late_BoundR: late_subject > name > pi > late_residual ).
thf(func_def_19,type,
late_FreeR: late_freeRes > pi > late_residual ).
thf(func_def_20,type,
late_r1174711868c_name: ( late_subject > name > pi > name ) > ( late_freeRes > pi > name ) > late_residual > name ).
thf(func_def_21,type,
late_residual_rec_pi: ( late_subject > name > pi > pi ) > ( late_freeRes > pi > pi ) > late_residual > pi ).
thf(func_def_22,type,
late_r124702629reeRes: ( late_subject > name > pi > late_freeRes ) > ( late_freeRes > pi > late_freeRes ) > late_residual > late_freeRes ).
thf(func_def_23,type,
late_r1347955901ubject: ( late_subject > name > pi > late_subject ) > ( late_freeRes > pi > late_subject ) > late_residual > late_subject ).
thf(func_def_24,type,
late_r1558248490ion_pi: ( late_subject > name > pi > name > noptio354675977ion_pi ) > ( late_freeRes > pi > name > noptio354675977ion_pi ) > late_residual > ( name > noptio354675977ion_pi ) > $o ).
thf(func_def_25,type,
late_r303715378n_name: ( late_subject > name > pi > name > noption_name ) > ( late_freeRes > pi > name > noption_name ) > late_residual > ( name > noption_name ) > $o ).
thf(func_def_26,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_27,type,
late_r1742481968t_name: ( late_subject > name > pi > name ) > ( late_freeRes > pi > name ) > late_residual > name > $o ).
thf(func_def_28,type,
late_r1261898622set_pi: ( late_subject > name > pi > pi ) > ( late_freeRes > pi > pi ) > late_residual > pi > $o ).
thf(func_def_29,type,
late_r1613948593reeRes: ( late_subject > name > pi > late_freeRes ) > ( late_freeRes > pi > late_freeRes ) > late_residual > late_freeRes > $o ).
thf(func_def_30,type,
late_r689718217ubject: ( late_subject > name > pi > late_subject ) > ( late_freeRes > pi > late_subject ) > late_residual > late_subject > $o ).
thf(func_def_31,type,
late_BoundOutputS: name > late_subject ).
thf(func_def_32,type,
late_InputS: name > late_subject ).
thf(func_def_33,type,
late_transitions: pi > late_residual > $o ).
thf(func_def_34,type,
sup_sup_set_name: set_name > set_name > set_name ).
thf(func_def_35,type,
abs_fu1394407909n_name: name > ( name > noption_name ) > name > noptio1926134715n_name ).
thf(func_def_36,type,
abs_fu1614711987ion_pi: name > ( name > noption_pi ) > name > noptio354675977ion_pi ).
thf(func_def_37,type,
abs_fu1763130856reeRes: name > ( name > noption_Late_freeRes ) > name > noptio435234344reeRes ).
thf(func_def_38,type,
abs_fu1705804544ubject: name > ( name > noption_Late_subject ) > name > noptio570777408ubject ).
thf(func_def_39,type,
abs_fu946147443reeRes: name > ( late_freeRes > pi > late_freeRes ) > name > noptio930204083reeRes ).
thf(func_def_40,type,
abs_fu888821131ubject: name > ( late_freeRes > pi > late_subject ) > name > noptio1065747147ubject ).
thf(func_def_41,type,
abs_fun_name_name: name > name > name > noption_name ).
thf(func_def_42,type,
abs_fun_name_pi: name > pi > name > noption_pi ).
thf(func_def_43,type,
abs_fu681348580reeRes: name > late_freeRes > name > noption_Late_freeRes ).
thf(func_def_44,type,
abs_fu1904601852ubject: name > late_subject > name > noption_Late_subject ).
thf(func_def_45,type,
fresh_1742414570n_name: name > ( name > noptio1926134715n_name ) > $o ).
thf(func_def_46,type,
fresh_92802872ion_pi: name > ( name > noptio354675977ion_pi ) > $o ).
thf(func_def_47,type,
fresh_1215331279reeRes: name > ( name > noptio435234344reeRes ) > $o ).
thf(func_def_48,type,
fresh_600418535ubject: name > ( name > noptio570777408ubject ) > $o ).
thf(func_def_49,type,
fresh_111433690reeRes: name > ( name > noptio930204083reeRes ) > $o ).
thf(func_def_50,type,
fresh_1644004594ubject: name > ( name > noptio1065747147ubject ) > $o ).
thf(func_def_51,type,
fresh_1093033124n_name: name > ( name > noption_name ) > $o ).
thf(func_def_52,type,
fresh_543891186ion_pi: name > ( name > noption_pi ) > $o ).
thf(func_def_53,type,
fresh_785364841reeRes: name > ( name > noption_Late_freeRes ) > $o ).
thf(func_def_54,type,
fresh_728038529ubject: name > ( name > noption_Late_subject ) > $o ).
thf(func_def_55,type,
fresh_2081817683ion_pi: name > ( late_freeRes > pi > name > noptio354675977ion_pi ) > $o ).
thf(func_def_56,type,
fresh_808662133n_name: name > ( late_freeRes > pi > name > noption_name ) > $o ).
thf(func_def_57,type,
fresh_7927363ion_pi: name > ( late_freeRes > pi > name > noption_pi ) > $o ).
thf(func_def_58,type,
fresh_1030632537i_name: name > ( late_freeRes > pi > name ) > $o ).
thf(func_def_59,type,
fresh_1011532071_pi_pi: name > ( late_freeRes > pi > pi ) > $o ).
thf(func_def_60,type,
fresh_256112244reeRes: name > ( late_freeRes > pi > late_freeRes ) > $o ).
thf(func_def_61,type,
fresh_198785932ubject: name > ( late_freeRes > pi > late_subject ) > $o ).
thf(func_def_62,type,
fresh_876421558ion_pi: name > ( late_subject > name > pi > name > noptio354675977ion_pi ) > $o ).
thf(func_def_63,type,
fresh_62885992n_name: name > ( late_subject > name > pi > name > noption_name ) > $o ).
thf(func_def_64,type,
fresh_747777846ion_pi: name > ( late_subject > name > pi > name > noption_pi ) > $o ).
thf(func_def_65,type,
fresh_621211324i_name: name > ( late_subject > name > pi > name ) > $o ).
thf(func_def_66,type,
fresh_1438126218_pi_pi: name > ( late_subject > name > pi > pi ) > $o ).
thf(func_def_67,type,
fresh_660367079reeRes: name > ( late_subject > name > pi > late_freeRes ) > $o ).
thf(func_def_68,type,
fresh_795910143ubject: name > ( late_subject > name > pi > late_subject ) > $o ).
thf(func_def_69,type,
fresh_name_name: name > name > $o ).
thf(func_def_70,type,
fresh_name_pi: name > pi > $o ).
thf(func_def_71,type,
fresh_1641682979reeRes: name > late_freeRes > $o ).
thf(func_def_72,type,
fresh_81631222sidual: name > late_residual > $o ).
thf(func_def_73,type,
fresh_717452603ubject: name > late_subject > $o ).
thf(func_def_74,type,
supp_n352473082e_name: ( name > noption_name ) > set_name ).
thf(func_def_75,type,
supp_n468628396i_name: ( name > noption_pi ) > set_name ).
thf(func_def_76,type,
supp_n252280103s_name: ( name > noption_Late_freeRes ) > set_name ).
thf(func_def_77,type,
supp_n1630792207t_name: ( name > noption_Late_subject ) > set_name ).
thf(func_def_78,type,
supp_L979396363i_name: ( late_freeRes > pi > name > noptio354675977ion_pi ) > set_name ).
thf(func_def_79,type,
supp_L473926939e_name: ( late_freeRes > pi > name > noption_name ) > set_name ).
thf(func_def_80,type,
supp_L635439693i_name: ( late_freeRes > pi > name > noption_pi ) > set_name ).
thf(func_def_81,type,
supp_L926407557e_name: ( late_freeRes > pi > name ) > set_name ).
thf(func_def_82,type,
supp_L2052723895i_name: ( late_freeRes > pi > pi ) > set_name ).
thf(func_def_83,type,
supp_L381160156s_name: ( late_freeRes > pi > late_freeRes ) > set_name ).
thf(func_def_84,type,
supp_L1759672260t_name: ( late_freeRes > pi > late_subject ) > set_name ).
thf(func_def_85,type,
supp_L1512088218i_name: ( late_subject > name > pi > name > noptio354675977ion_pi ) > set_name ).
thf(func_def_86,type,
supp_L14705974e_name: ( late_subject > name > pi > name > noption_name ) > set_name ).
thf(func_def_87,type,
supp_L3230824i_name: ( late_subject > name > pi > name > noption_pi ) > set_name ).
thf(func_def_88,type,
supp_L538372628e_name: ( late_subject > name > pi > name ) > set_name ).
thf(func_def_89,type,
supp_L729745222i_name: ( late_subject > name > pi > pi ) > set_name ).
thf(func_def_90,type,
supp_L1178477943s_name: ( late_subject > name > pi > late_freeRes ) > set_name ).
thf(func_def_91,type,
supp_L1144036959t_name: ( late_subject > name > pi > late_subject ) > set_name ).
thf(func_def_92,type,
supp_name_name: name > set_name ).
thf(func_def_93,type,
supp_pi_name: pi > set_name ).
thf(func_def_94,type,
supp_L1228270395s_name: late_freeRes > set_name ).
thf(func_def_95,type,
supp_L1174042202l_name: late_residual > set_name ).
thf(func_def_96,type,
supp_L1174290467t_name: late_subject > set_name ).
thf(func_def_97,type,
collect_name: ( name > $o ) > set_name ).
thf(func_def_98,type,
member_name: name > set_name > $o ).
thf(func_def_99,type,
p: pi ).
thf(func_def_100,type,
pqr: pi ).
thf(func_def_101,type,
q: pi ).
thf(func_def_102,type,
qr: pi ).
thf(func_def_103,type,
q2: pi ).
thf(func_def_104,type,
r: pi ).
thf(func_def_105,type,
r2: pi ).
thf(func_def_106,type,
alpha: late_freeRes ).
thf(func_def_107,type,
a: name ).
thf(func_def_108,type,
x: name ).
thf(func_def_109,type,
y: name ).
thf(func_def_113,type,
vAND: $o > $o > $o ).
thf(func_def_114,type,
vOR: $o > $o > $o ).
thf(func_def_115,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_116,type,
vNOT: $o > $o ).
thf(func_def_117,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_118,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_119,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_120,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_121,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_122,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_123,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_124,type,
sP0: late_subject > name > pi > pi > pi > $o ).
thf(func_def_125,type,
sK1: late_freeRes > name ).
thf(func_def_126,type,
sK2: late_freeRes > name ).
thf(func_def_127,type,
sK3: ( pi > late_residual > $o ) > pi ).
thf(func_def_128,type,
sK4: ( pi > late_residual > $o ) > late_subject ).
thf(func_def_129,type,
sK5: ( pi > late_residual > $o ) > pi ).
thf(func_def_130,type,
sK6: ( pi > late_residual > $o ) > name ).
thf(func_def_131,type,
sK7: ( pi > late_residual > $o ) > pi ).
thf(func_def_132,type,
sK8: ( pi > late_residual > $o ) > pi ).
thf(func_def_133,type,
sK9: ( pi > late_residual > $o ) > late_freeRes ).
thf(func_def_134,type,
sK10: late_subject > pi > ( pi > $o ) > name > pi > pi ).
thf(func_def_135,type,
sK11: late_subject > pi > ( pi > $o ) > name > pi > pi ).
thf(func_def_136,type,
sK12: ( name > late_residual > $o ) > late_freeRes ).
thf(func_def_137,type,
sK13: ( name > late_residual > $o ) > pi ).
thf(func_def_138,type,
sK14: ( name > late_residual > $o ) > name ).
thf(func_def_139,type,
sK15: ( name > late_residual > $o ) > late_subject ).
thf(func_def_140,type,
sK16: ( name > late_residual > $o ) > pi ).
thf(func_def_141,type,
sK17: ( name > late_residual > $o ) > name ).
thf(func_def_142,type,
sK18: ( name > late_residual > $o ) > name ).
thf(func_def_143,type,
sK19: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_144,type,
sK20: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_145,type,
sK21: ( late_subject > late_residual > $o ) > name ).
thf(func_def_146,type,
sK22: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_147,type,
sK23: ( late_subject > late_residual > $o ) > late_freeRes ).
thf(func_def_148,type,
sK24: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_149,type,
sK25: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_150,type,
sK26: late_subject > name > pi > pi > pi > name ).
thf(func_def_151,type,
sK27: late_subject > name > pi > pi > pi > pi ).
thf(func_def_152,type,
sK28: late_subject > name > pi > pi > pi > pi ).
thf(func_def_153,type,
sK29: late_subject > name > pi > pi > pi > pi ).
thf(func_def_154,type,
sK30: late_subject > name > pi > pi > pi > late_subject ).
thf(func_def_155,type,
sK31: name > late_subject > pi > pi > pi > pi ).
thf(func_def_156,type,
sK32: name > late_subject > pi > pi > pi > late_subject ).
thf(func_def_157,type,
sK33: name > late_subject > pi > pi > pi > pi ).
thf(func_def_158,type,
sK34: name > late_subject > pi > pi > pi > name ).
thf(func_def_159,type,
sK35: name > late_subject > pi > pi > pi > pi ).
thf(func_def_160,type,
sK36: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_161,type,
sK37: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_162,type,
sK38: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_163,type,
sK39: ( late_freeRes > late_residual > $o ) > name ).
thf(func_def_164,type,
sK40: ( late_freeRes > late_residual > $o ) > late_subject ).
thf(func_def_165,type,
sK41: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_166,type,
sK42: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_167,type,
sK43: late_freeRes > pi > name > ( pi > $o ) > pi ).
thf(func_def_168,type,
sK44: ( late_subject > late_residual > $o ) > late_freeRes ).
thf(func_def_169,type,
sK45: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_170,type,
sK46: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_171,type,
sK47: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_172,type,
sK48: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_173,type,
sK49: ( late_subject > late_residual > $o ) > name ).
thf(func_def_174,type,
sK50: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_175,type,
sK51: late_residual > pi > pi ).
thf(func_def_176,type,
sK52: pi > late_freeRes > name > pi > pi ).
thf(func_def_177,type,
sK53: pi > late_freeRes > name > pi > late_freeRes ).
thf(func_def_178,type,
sK54: pi > late_freeRes > name > pi > name ).
thf(func_def_179,type,
sK55: pi > late_freeRes > name > pi > pi ).
thf(func_def_180,type,
sK56: pi > late_residual > pi ).
thf(func_def_181,type,
sK57: ( late_residual > $o ) > late_freeRes ).
thf(func_def_182,type,
sK58: ( late_residual > $o ) > pi ).
thf(func_def_183,type,
sK59: ( late_residual > $o ) > late_subject ).
thf(func_def_184,type,
sK60: ( late_residual > $o ) > name ).
thf(func_def_185,type,
sK61: ( late_residual > $o ) > pi ).
thf(func_def_186,type,
sK62: ( name > late_residual > $o ) > late_freeRes ).
thf(func_def_187,type,
sK63: ( name > late_residual > $o ) > pi ).
thf(func_def_188,type,
sK64: ( name > late_residual > $o ) > name ).
thf(func_def_189,type,
sK65: ( name > late_residual > $o ) > pi ).
thf(func_def_190,type,
sK66: ( name > late_residual > $o ) > late_subject ).
thf(func_def_191,type,
sK67: ( name > late_residual > $o ) > name ).
thf(func_def_192,type,
sK68: ( name > late_residual > $o ) > name ).
thf(func_def_193,type,
sK69: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_194,type,
sK70: ( late_freeRes > late_residual > $o ) > late_subject ).
thf(func_def_195,type,
sK71: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_196,type,
sK72: ( late_freeRes > late_residual > $o ) > name ).
thf(func_def_197,type,
sK73: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_198,type,
sK74: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_199,type,
sK75: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_200,type,
sK76: ( pi > late_residual > $o ) > late_subject ).
thf(func_def_201,type,
sK77: ( pi > late_residual > $o ) > pi ).
thf(func_def_202,type,
sK78: ( pi > late_residual > $o ) > pi ).
thf(func_def_203,type,
sK79: ( pi > late_residual > $o ) > name ).
thf(func_def_204,type,
sK80: ( pi > late_residual > $o ) > late_freeRes ).
thf(func_def_205,type,
sK81: ( pi > late_residual > $o ) > pi ).
thf(func_def_206,type,
sK82: ( pi > late_residual > $o ) > pi ).
thf(func_def_207,type,
sK83: ( late_freeRes > $o ) > name ).
thf(func_def_208,type,
sK84: ( late_freeRes > $o ) > name ).
thf(f4,axiom,
fresh_name_pi @ y @ r,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_cClose2_Ohyps_I9_J) ).
thf(f13,axiom,
late_transitions @ r @ ( late_BoundR @ ( late_InputS @ a ) @ x @ r2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_cClose2_Ohyps_I2_J) ).
thf(f14,axiom,
late_transitions @ ( par @ p @ q ) @ ( late_BoundR @ ( late_BoundOutputS @ a ) @ y @ ( par @ p @ q2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_Aa_060_092_060nu_062y_062_A_092_060prec_062_AP_A_092_060parallel_062_AQ_H_092_060close_062) ).
thf(f25,axiom,
! [X4: pi,X5: name,X1: name,X0: pi,X3: pi,X2: name,X6: pi] :
( ( late_transitions @ X0 @ ( late_BoundR @ ( late_BoundOutputS @ X1 ) @ X2 @ X3 ) )
=> ( ( late_transitions @ X4 @ ( late_BoundR @ ( late_InputS @ X1 ) @ X5 @ X6 ) )
=> ( ( fresh_name_pi @ X2 @ X4 )
=> ( late_transitions @ ( par @ X0 @ X4 ) @ ( late_FreeR @ late_TauR @ ( res @ X2 @ ( par @ X3 @ ( subs @ X6 @ X5 @ X2 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_Late__Semantics_OClose2) ).
thf(f353,conjecture,
late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( res @ y @ ( par @ ( par @ p @ q2 ) @ ( subs @ r2 @ x @ y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f354,negated_conjecture,
~ ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( res @ y @ ( par @ ( par @ p @ q2 ) @ ( subs @ r2 @ x @ y ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f353]) ).
thf(f371,plain,
~ ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( res @ y @ ( par @ ( par @ p @ q2 ) @ ( subs @ r2 @ x @ y ) ) ) ) ),
inference(rectify,[],[f354]) ).
thf(f372,plain,
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( res @ y @ ( par @ ( par @ p @ q2 ) @ ( subs @ r2 @ x @ y ) ) ) ) )
!= $true ),
inference(fool_elimination,[],[f371]) ).
thf(f472,plain,
late_transitions @ r @ ( late_BoundR @ ( late_InputS @ a ) @ x @ r2 ),
inference(rectify,[],[f13]) ).
thf(f473,plain,
( ( late_transitions @ r @ ( late_BoundR @ ( late_InputS @ a ) @ x @ r2 ) )
= $true ),
inference(fool_elimination,[],[f472]) ).
thf(f528,plain,
! [X0: pi,X1: name,X2: name,X3: pi,X4: pi,X5: name,X6: pi] :
( ( late_transitions @ X3 @ ( late_BoundR @ ( late_BoundOutputS @ X2 ) @ X5 @ X4 ) )
=> ( ( late_transitions @ X0 @ ( late_BoundR @ ( late_InputS @ X2 ) @ X1 @ X6 ) )
=> ( ( fresh_name_pi @ X5 @ X0 )
=> ( late_transitions @ ( par @ X3 @ X0 ) @ ( late_FreeR @ late_TauR @ ( res @ X5 @ ( par @ X4 @ ( subs @ X6 @ X1 @ X5 ) ) ) ) ) ) ) ),
inference(rectify,[],[f25]) ).
thf(f529,plain,
! [X3: pi,X4: pi,X2: name,X6: pi,X1: name,X5: name,X0: pi] :
( ( ( late_transitions @ X3 @ ( late_BoundR @ ( late_BoundOutputS @ X2 ) @ X5 @ X4 ) )
= $true )
=> ( ( ( late_transitions @ X0 @ ( late_BoundR @ ( late_InputS @ X2 ) @ X1 @ X6 ) )
= $true )
=> ( ( ( fresh_name_pi @ X5 @ X0 )
= $true )
=> ( ( late_transitions @ ( par @ X3 @ X0 ) @ ( late_FreeR @ late_TauR @ ( res @ X5 @ ( par @ X4 @ ( subs @ X6 @ X1 @ X5 ) ) ) ) )
= $true ) ) ) ),
inference(fool_elimination,[],[f528]) ).
thf(f672,plain,
late_transitions @ ( par @ p @ q ) @ ( late_BoundR @ ( late_BoundOutputS @ a ) @ y @ ( par @ p @ q2 ) ),
inference(rectify,[],[f14]) ).
thf(f673,plain,
( ( late_transitions @ ( par @ p @ q ) @ ( late_BoundR @ ( late_BoundOutputS @ a ) @ y @ ( par @ p @ q2 ) ) )
= $true ),
inference(fool_elimination,[],[f672]) ).
thf(f716,plain,
fresh_name_pi @ y @ r,
inference(rectify,[],[f4]) ).
thf(f717,plain,
( ( fresh_name_pi @ y @ r )
= $true ),
inference(fool_elimination,[],[f716]) ).
thf(f883,plain,
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( res @ y @ ( par @ ( par @ p @ q2 ) @ ( subs @ r2 @ x @ y ) ) ) ) )
!= $true ),
inference(flattening,[],[f372]) ).
thf(f978,plain,
! [X3: pi,X4: pi,X2: name,X6: pi,X1: name,X5: name,X0: pi] :
( ( ( late_transitions @ ( par @ X3 @ X0 ) @ ( late_FreeR @ late_TauR @ ( res @ X5 @ ( par @ X4 @ ( subs @ X6 @ X1 @ X5 ) ) ) ) )
= $true )
| ( ( fresh_name_pi @ X5 @ X0 )
!= $true )
| ( ( late_transitions @ X0 @ ( late_BoundR @ ( late_InputS @ X2 ) @ X1 @ X6 ) )
!= $true )
| ( ( late_transitions @ X3 @ ( late_BoundR @ ( late_BoundOutputS @ X2 ) @ X5 @ X4 ) )
!= $true ) ),
inference(ennf_transformation,[],[f529]) ).
thf(f979,plain,
! [X0: pi,X2: name,X4: pi,X1: name,X6: pi,X5: name,X3: pi] :
( ( ( late_transitions @ X0 @ ( late_BoundR @ ( late_InputS @ X2 ) @ X1 @ X6 ) )
!= $true )
| ( ( late_transitions @ X3 @ ( late_BoundR @ ( late_BoundOutputS @ X2 ) @ X5 @ X4 ) )
!= $true )
| ( ( late_transitions @ ( par @ X3 @ X0 ) @ ( late_FreeR @ late_TauR @ ( res @ X5 @ ( par @ X4 @ ( subs @ X6 @ X1 @ X5 ) ) ) ) )
= $true )
| ( ( fresh_name_pi @ X5 @ X0 )
!= $true ) ),
inference(flattening,[],[f978]) ).
thf(f1082,plain,
! [X0: pi,X1: name,X2: pi,X3: name,X4: pi,X5: name,X6: pi] :
( ( ( late_transitions @ X0 @ ( late_BoundR @ ( late_InputS @ X1 ) @ X3 @ X4 ) )
!= $true )
| ( ( late_transitions @ X6 @ ( late_BoundR @ ( late_BoundOutputS @ X1 ) @ X5 @ X2 ) )
!= $true )
| ( ( late_transitions @ ( par @ X6 @ X0 ) @ ( late_FreeR @ late_TauR @ ( res @ X5 @ ( par @ X2 @ ( subs @ X4 @ X3 @ X5 ) ) ) ) )
= $true )
| ( ( fresh_name_pi @ X5 @ X0 )
!= $true ) ),
inference(rectify,[],[f979]) ).
thf(f1159,plain,
( ( fresh_name_pi @ y @ r )
= $true ),
inference(cnf_transformation,[],[f717]) ).
thf(f1185,plain,
( ( late_transitions @ ( par @ p @ q ) @ ( late_BoundR @ ( late_BoundOutputS @ a ) @ y @ ( par @ p @ q2 ) ) )
= $true ),
inference(cnf_transformation,[],[f673]) ).
thf(f1209,plain,
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( res @ y @ ( par @ ( par @ p @ q2 ) @ ( subs @ r2 @ x @ y ) ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f883]) ).
thf(f1214,plain,
! [X2: pi,X3: name,X0: pi,X1: name,X6: pi,X4: pi,X5: name] :
( ( ( late_transitions @ ( par @ X6 @ X0 ) @ ( late_FreeR @ late_TauR @ ( res @ X5 @ ( par @ X2 @ ( subs @ X4 @ X3 @ X5 ) ) ) ) )
= $true )
| ( ( fresh_name_pi @ X5 @ X0 )
!= $true )
| ( ( late_transitions @ X6 @ ( late_BoundR @ ( late_BoundOutputS @ X1 ) @ X5 @ X2 ) )
!= $true )
| ( ( late_transitions @ X0 @ ( late_BoundR @ ( late_InputS @ X1 ) @ X3 @ X4 ) )
!= $true ) ),
inference(cnf_transformation,[],[f1082]) ).
thf(f1228,plain,
( ( late_transitions @ r @ ( late_BoundR @ ( late_InputS @ a ) @ x @ r2 ) )
= $true ),
inference(cnf_transformation,[],[f473]) ).
thf(f1236,plain,
! [X0: name] :
( ( ( late_transitions @ ( par @ p @ q ) @ ( late_BoundR @ ( late_BoundOutputS @ X0 ) @ y @ ( par @ p @ q2 ) ) )
!= $true )
| ( $true != $true )
| ( ( fresh_name_pi @ y @ r )
!= $true )
| ( ( late_transitions @ r @ ( late_BoundR @ ( late_InputS @ X0 ) @ x @ r2 ) )
!= $true ) ),
inference(superposition,[],[f1209,f1214]) ).
thf(f1241,plain,
! [X0: name] :
( ( ( fresh_name_pi @ y @ r )
!= $true )
| ( ( late_transitions @ ( par @ p @ q ) @ ( late_BoundR @ ( late_BoundOutputS @ X0 ) @ y @ ( par @ p @ q2 ) ) )
!= $true )
| ( ( late_transitions @ r @ ( late_BoundR @ ( late_InputS @ X0 ) @ x @ r2 ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f1236]) ).
thf(f1252,plain,
! [X0: name] :
( ( ( late_transitions @ ( par @ p @ q ) @ ( late_BoundR @ ( late_BoundOutputS @ X0 ) @ y @ ( par @ p @ q2 ) ) )
!= $true )
| ( ( late_transitions @ r @ ( late_BoundR @ ( late_InputS @ X0 ) @ x @ r2 ) )
!= $true ) ),
inference(forward_subsumption_resolution,[],[f1241,f1159]) ).
thf(f1259,plain,
( ( ( late_transitions @ r @ ( late_BoundR @ ( late_InputS @ a ) @ x @ r2 ) )
!= $true )
| ( $true != $true ) ),
inference(superposition,[],[f1252,f1185]) ).
thf(f1263,plain,
( ( late_transitions @ r @ ( late_BoundR @ ( late_InputS @ a ) @ x @ r2 ) )
!= $true ),
inference(trivial_inequality_removal,[],[f1259]) ).
thf(f1267,plain,
$false,
inference(forward_subsumption_resolution,[],[f1263,f1228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP185^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n008.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 20:08:54 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.20/0.31 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/0.47 % (3667805)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.31/0.47 % (3667814)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3255431341:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.31/0.47 % (3667810)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2113004329:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.31/0.47 % (3667811)lrs+10_16_si=on:nwc=1.5:random_seed=666199341:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.31/0.47 % (3667814)Instruction limit reached!
% 0.31/0.47 % (3667814)------------------------------
% 0.31/0.47 % (3667814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.47 % (3667814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.47 % (3667814)CaDiCaL version: 2.1.3
% 0.31/0.47 % (3667814)Termination reason: Instruction limit
% 0.31/0.47 % (3667814)Termination phase: shuffling
% 0.31/0.47 % (3667814)Time elapsed: 0.007 s
% 0.31/0.47 % (3667814)Peak memory usage: 11 MB
% 0.31/0.47 % (3667814)Instructions burned: 27 (million)
% 0.31/0.47 % (3667812)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2489533634:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.31/0.47 % (3667813)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=1181638536: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)
% 0.31/0.47 % (3667812)Instruction limit reached!
% 0.31/0.47 % (3667812)------------------------------
% 0.31/0.47 % (3667812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.47 % (3667812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.47 % (3667812)CaDiCaL version: 2.1.3
% 0.31/0.47 % (3667812)Termination reason: Instruction limit
% 0.31/0.47 % (3667812)Termination phase: shuffling
% 0.31/0.47 % (3667812)Time elapsed: 0.002 s
% 0.31/0.47 % (3667812)Peak memory usage: 10 MB
% 0.31/0.47 % (3667812)Instructions burned: 3 (million)
% 0.31/0.47 % (3667811)Instruction limit reached!
% 0.31/0.47 % (3667811)------------------------------
% 0.31/0.47 % (3667811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.47 % (3667816)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.31/0.47 % (3667811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.47 % (3667816)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
% 0.31/0.47 % (3667811)CaDiCaL version: 2.1.3
% 0.31/0.47 % (3667811)Termination reason: Instruction limit
% 0.31/0.47 % (3667811)Termination phase: shuffling
% 0.31/0.47 % (3667811)Time elapsed: 0.009 s
% 0.31/0.47 % (3667811)Peak memory usage: 11 MB
% 0.31/0.47 % (3667811)Instructions burned: 19 (million)
% 0.31/0.47 % (3667822)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3522267308:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.31/0.47 % (3667815)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4040158209:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.31/0.47 % (3667816)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=912317145:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.31/0.47 % (3667822)Instruction limit reached!
% 0.31/0.47 % (3667822)------------------------------
% 0.31/0.47 % (3667822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.47 % (3667822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.47 % (3667822)CaDiCaL version: 2.1.3
% 0.31/0.47 % (3667822)Termination reason: Instruction limit
% 0.31/0.47 % (3667822)Termination phase: shuffling
% 0.31/0.47 % (3667822)Time elapsed: 0.001 s
% 0.31/0.47 % (3667822)Peak memory usage: 10 MB
% 0.31/0.47 % (3667822)Instructions burned: 4 (million)
% 0.31/0.47 % (3667823)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4074147202:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.94/0.51 % (3667828)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=229688293:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.94/0.51 % (3667824)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.94/0.51 % (3667823)Instruction limit reached!
% 0.94/0.51 % (3667823)------------------------------
% 0.94/0.51 % (3667823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.51 % (3667823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.51 % (3667823)CaDiCaL version: 2.1.3
% 0.94/0.51 % (3667823)Termination reason: Instruction limit
% 0.94/0.51 % (3667823)Termination phase: shuffling
% 0.94/0.51 % (3667823)Time elapsed: 0.003 s
% 0.94/0.51 % (3667823)Peak memory usage: 10 MB
% 0.94/0.51 % (3667823)Instructions burned: 6 (million)
% 0.94/0.51 % (3667828)Instruction limit reached!
% 0.94/0.51 % (3667828)------------------------------
% 0.94/0.51 % (3667828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.51 % (3667828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.51 % (3667828)CaDiCaL version: 2.1.3
% 0.94/0.51 % (3667828)Termination reason: Instruction limit
% 0.94/0.51 % (3667828)Termination phase: shuffling
% 0.94/0.51 % (3667828)Time elapsed: 0.004 s
% 0.94/0.51 % (3667828)Peak memory usage: 10 MB
% 0.94/0.51 % (3667828)Instructions burned: 15 (million)
% 0.94/0.51 % (3667824)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=221193495:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.94/0.51 % (3667824)Instruction limit reached!
% 0.94/0.51 % (3667824)------------------------------
% 0.94/0.51 % (3667824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.51 % (3667824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.51 % (3667824)CaDiCaL version: 2.1.3
% 0.94/0.51 % (3667824)Termination reason: Instruction limit
% 0.94/0.51 % (3667824)Termination phase: shuffling
% 0.94/0.51 % (3667824)Time elapsed: 0.004 s
% 0.94/0.51 % (3667824)Peak memory usage: 10 MB
% 0.94/0.51 % (3667824)Instructions burned: 9 (million)
% 0.94/0.51 % (3667832)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=1147256716:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.94/0.51 % (3667810)Instruction limit reached!
% 0.94/0.51 % (3667810)------------------------------
% 0.94/0.51 % (3667810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.51 % (3667810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.51 % (3667810)CaDiCaL version: 2.1.3
% 0.94/0.51 % (3667810)Termination reason: Instruction limit
% 0.94/0.51 % (3667810)Termination phase: Naming
% 0.94/0.51 % (3667810)Time elapsed: 0.040 s
% 0.94/0.51 % (3667810)Peak memory usage: 12 MB
% 0.94/0.51 % (3667810)Instructions burned: 88 (million)
% 0.94/0.51 % (3667831)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
% 0.94/0.51 % (3667831)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.94/0.51 % (3667831)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3672438555:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.94/0.51 % (3667815)Instruction limit reached!
% 0.94/0.51 % (3667815)------------------------------
% 0.94/0.51 % (3667815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.51 % (3667815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.51 % (3667815)CaDiCaL version: 2.1.3
% 0.94/0.51 % (3667815)Termination reason: Instruction limit
% 0.94/0.51 % (3667815)Termination phase: SInE selection
% 0.94/0.51 % (3667815)Time elapsed: 0.034 s
% 0.94/0.51 % (3667815)Peak memory usage: 12 MB
% 0.94/0.51 % (3667815)Instructions burned: 76 (million)
% 0.94/0.51 % (3667834)lrs+10_1_si=on:cs=on:random_seed=1747930137:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.94/0.51 % (3667836)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.94/0.52 % (3667834)Instruction limit reached!
% 0.94/0.52 % (3667834)------------------------------
% 0.94/0.52 % (3667834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.52 % (3667834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.52 % (3667834)CaDiCaL version: 2.1.3
% 0.94/0.52 % (3667834)Termination reason: Instruction limit
% 0.94/0.52 % (3667834)Termination phase: shuffling
% 0.94/0.52 % (3667834)Time elapsed: 0.004 s
% 0.94/0.52 % (3667834)Peak memory usage: 10 MB
% 0.94/0.52 % (3667834)Instructions burned: 8 (million)
% 0.94/0.52 % (3667836)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=1860759015:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.94/0.52 % (3667832)Instruction limit reached!
% 0.94/0.52 % (3667832)------------------------------
% 0.94/0.52 % (3667832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.52 % (3667832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.52 % (3667832)CaDiCaL version: 2.1.3
% 0.94/0.52 % (3667832)Termination reason: Instruction limit
% 0.94/0.52 % (3667832)Termination phase: Property scanning
% 0.94/0.52 % (3667832)Time elapsed: 0.021 s
% 0.94/0.52 % (3667832)Peak memory usage: 12 MB
% 0.94/0.52 % (3667832)Instructions burned: 90 (million)
% 0.94/0.52 % (3667831)Instruction limit reached!
% 0.94/0.52 % (3667831)------------------------------
% 0.94/0.52 % (3667831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.52 % (3667831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.52 % (3667831)CaDiCaL version: 2.1.3
% 0.94/0.52 % (3667831)Termination reason: Instruction limit
% 0.94/0.52 % (3667831)Termination phase: shuffling
% 0.94/0.52 % (3667831)Time elapsed: 0.014 s
% 0.94/0.52 % (3667831)Peak memory usage: 11 MB
% 0.94/0.52 % (3667831)Instructions burned: 30 (million)
% 0.94/0.52 % (3667836)Instruction limit reached!
% 0.94/0.52 % (3667836)------------------------------
% 0.94/0.52 % (3667836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.52 % (3667836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.52 % (3667836)CaDiCaL version: 2.1.3
% 0.94/0.52 % (3667836)Termination reason: Instruction limit
% 0.94/0.52 % (3667836)Termination phase: shuffling
% 0.94/0.52 % (3667836)Time elapsed: 0.002 s
% 0.94/0.52 % (3667836)Peak memory usage: 10 MB
% 0.94/0.52 % (3667836)Instructions burned: 3 (million)
% 0.94/0.52 % (3667838)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2746881372:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.94/0.52 % (3667842)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=202853928:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.94/0.52 % (3667840)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1045760265:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.94/0.52 % (3667842)Instruction limit reached!
% 0.94/0.52 % (3667842)------------------------------
% 0.94/0.52 % (3667842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.52 % (3667842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.52 % (3667842)CaDiCaL version: 2.1.3
% 0.94/0.52 % (3667842)Termination reason: Instruction limit
% 0.94/0.52 % (3667842)Termination phase: shuffling
% 0.94/0.52 % (3667842)Time elapsed: 0.007 s
% 0.94/0.52 % (3667842)Peak memory usage: 11 MB
% 0.94/0.52 % (3667842)Instructions burned: 28 (million)
% 0.94/0.52 % (3667843)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2782993807:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.94/0.52 % (3667844)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3987938914:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.94/0.52 % (3667838)Instruction limit reached!
% 0.94/0.52 % (3667838)------------------------------
% 0.94/0.52 % (3667838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.52 % (3667838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.52 % (3667838)CaDiCaL version: 2.1.3
% 0.94/0.52 % (3667838)Termination reason: Instruction limit
% 0.94/0.52 % (3667838)Termination phase: shuffling
% 0.94/0.52 % (3667838)Time elapsed: 0.018 s
% 0.94/0.52 % (3667838)Peak memory usage: 11 MB
% 0.94/0.52 % (3667838)Instructions burned: 38 (million)
% 0.94/0.52 % (3667843)Instruction limit reached!
% 0.94/0.52 % (3667843)------------------------------
% 0.94/0.52 % (3667843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.52 % (3667843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.52 % (3667843)CaDiCaL version: 2.1.3
% 0.94/0.52 % (3667843)Termination reason: Instruction limit
% 0.94/0.52 % (3667843)Termination phase: shuffling
% 0.94/0.52 % (3667843)Time elapsed: 0.008 s
% 0.94/0.52 % (3667843)Peak memory usage: 10 MB
% 0.94/0.52 % (3667843)Instructions burned: 16 (million)
% 0.94/0.52 % (3667848)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3905732354:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.94/0.52 % (3667848)Instruction limit reached!
% 0.94/0.52 % (3667848)------------------------------
% 0.94/0.52 % (3667848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.52 % (3667848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.52 % (3667848)CaDiCaL version: 2.1.3
% 0.94/0.52 % (3667848)Termination reason: Instruction limit
% 0.94/0.52 % (3667848)Termination phase: shuffling
% 0.94/0.52 % (3667848)Time elapsed: 0.004 s
% 0.94/0.52 % (3667848)Peak memory usage: 10 MB
% 0.94/0.52 % (3667848)Instructions burned: 16 (million)
% 0.94/0.52 % (3667816)Instruction limit reached!
% 0.94/0.52 % (3667816)------------------------------
% 0.94/0.52 % (3667816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.52 % (3667816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.52 % (3667816)CaDiCaL version: 2.1.3
% 0.94/0.52 % (3667816)Termination reason: Instruction limit
% 0.94/0.52 % (3667816)Termination phase: Property scanning
% 0.94/0.52 % (3667816)Time elapsed: 0.086 s
% 0.94/0.52 % (3667816)Peak memory usage: 14 MB
% 0.94/0.52 % (3667816)Instructions burned: 157 (million)
% 0.94/0.52 % (3667854)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1186565287:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.94/0.52 % (3667851)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2313105325: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)
% 0.94/0.52 % (3667851)Instruction limit reached!
% 0.94/0.52 % (3667851)------------------------------
% 0.94/0.52 % (3667851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.52 % (3667851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.52 % (3667851)CaDiCaL version: 2.1.3
% 0.94/0.52 % (3667851)Termination reason: Instruction limit
% 0.94/0.52 % (3667851)Termination phase: shuffling
% 0.94/0.52 % (3667851)Time elapsed: 0.002 s
% 0.94/0.52 % (3667851)Peak memory usage: 10 MB
% 0.94/0.52 % (3667851)Instructions burned: 4 (million)
% 0.94/0.52 % (3667853)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3693311351:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.94/0.53 % (3667854)Instruction limit reached!
% 0.94/0.53 % (3667854)------------------------------
% 0.94/0.53 % (3667854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.53 % (3667854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.53 % (3667854)CaDiCaL version: 2.1.3
% 0.94/0.53 % (3667854)Termination reason: Instruction limit
% 0.94/0.53 % (3667854)Termination phase: shuffling
% 0.94/0.53 % (3667854)Time elapsed: 0.006 s
% 0.94/0.53 % (3667854)Peak memory usage: 11 MB
% 0.94/0.53 % (3667854)Instructions burned: 26 (million)
% 0.94/0.53 % (3667860)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.94/0.53 % (3667855)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=32809318:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.94/0.53 % (3667853)Instruction limit reached!
% 0.94/0.53 % (3667853)------------------------------
% 0.94/0.53 % (3667853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.53 % (3667853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.53 % (3667853)CaDiCaL version: 2.1.3
% 0.94/0.53 % (3667853)Termination reason: Instruction limit
% 0.94/0.53 % (3667853)Termination phase: shuffling
% 0.94/0.53 % (3667853)Time elapsed: 0.012 s
% 0.94/0.53 % (3667853)Peak memory usage: 11 MB
% 0.94/0.53 % (3667853)Instructions burned: 27 (million)
% 0.94/0.53 % (3667860)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=3810117307:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.94/0.53 % (3667859)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
% 0.94/0.53 % (3667859)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.94/0.53 % (3667860)Instruction limit reached!
% 0.94/0.53 % (3667860)------------------------------
% 0.94/0.53 % (3667860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.53 % (3667860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.53 % (3667860)CaDiCaL version: 2.1.3
% 0.94/0.53 % (3667860)Termination reason: Instruction limit
% 0.94/0.53 % (3667860)Termination phase: shuffling
% 0.94/0.53 % (3667860)Time elapsed: 0.002 s
% 0.94/0.53 % (3667860)Peak memory usage: 10 MB
% 0.94/0.53 % (3667860)Instructions burned: 8 (million)
% 0.94/0.53 % (3667859)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=2547188727:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.94/0.53 % (3667864)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2771235227:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.94/0.53 % (3667859)Instruction limit reached!
% 0.94/0.53 % (3667859)------------------------------
% 0.94/0.53 % (3667859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.53 % (3667859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.53 % (3667859)CaDiCaL version: 2.1.3
% 0.94/0.53 % (3667859)Termination reason: Instruction limit
% 0.94/0.53 % (3667859)Termination phase: shuffling
% 0.94/0.53 % (3667859)Time elapsed: 0.007 s
% 0.94/0.53 % (3667859)Peak memory usage: 10 MB
% 0.94/0.53 % (3667859)Instructions burned: 14 (million)
% 0.94/0.53 % (3667840) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3667805-3667840"...
% 0.94/0.53 % (3667864)Instruction limit reached!
% 0.94/0.53 % (3667864)------------------------------
% 0.94/0.53 % (3667864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.53 % (3667864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.53 % (3667864)CaDiCaL version: 2.1.3
% 0.94/0.53 % (3667864)Termination reason: Instruction limit
% 0.94/0.53 % (3667864)Termination phase: shuffling
% 0.94/0.53 % (3667864)Time elapsed: 0.003 s
% 0.94/0.53 % (3667864)Peak memory usage: 10 MB
% 0.94/0.53 % (3667864)Instructions burned: 13 (million)
% 0.94/0.53 % (3667840)...printing done.
% 0.94/0.53 % (3667840)Refutation found. Thanks to Tanya!
% 0.94/0.53 % SZS status Theorem for theBenchmark
% 0.94/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.94/0.53 % (3667840)------------------------------
% 0.94/0.53 % (3667840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.53 % (3667840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.53 % (3667840)CaDiCaL version: 2.1.3
% 0.94/0.53 % (3667840)Termination reason: Refutation
% 0.94/0.53 % (3667840)Time elapsed: 0.059 s
% 0.94/0.53 % (3667840)Peak memory usage: 14 MB
% 0.94/0.53 % (3667840)Instructions burned: 126 (million)
% 0.94/0.53 % (3667805)Success in time 0.201 s
% 0.94/0.53 % Vampire exiting
%------------------------------------------------------------------------------