%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP184^1 : 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 : n012.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 0.37s 0.28s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 50 ( 13 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 255 ( 10 ~; 3 |; 4 &; 238 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 27 ( 26 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 218 ( 215 usr; 13 con; 0-5 aty)
% Number of variables : 6 ( 0 ^; 2 !; 4 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
produc1462499409ion_pi: $tType ).
thf(type_def_6,type,
produc691362330ubject: $tType ).
thf(type_def_7,type,
produc1834551554reeRes: $tType ).
thf(type_def_8,type,
produc405342261i_name: $tType ).
thf(type_def_9,type,
produc629157763_pi_pi: $tType ).
thf(type_def_10,type,
produc1359399907ubject: $tType ).
thf(type_def_11,type,
produc355105483reeRes: $tType ).
thf(type_def_12,type,
produc214645451ubject: $tType ).
thf(type_def_13,type,
produc1357834675reeRes: $tType ).
thf(type_def_14,type,
produc1998742700t_name: $tType ).
thf(type_def_15,type,
produc2052722628s_name: $tType ).
thf(type_def_16,type,
produc865358760ubject: $tType ).
thf(type_def_17,type,
produc2008547984reeRes: $tType ).
thf(type_def_18,type,
produc140253050ect_pi: $tType ).
thf(type_def_19,type,
produc992857746Res_pi: $tType ).
thf(type_def_20,type,
set_Pr1834926343_pi_pi: $tType ).
thf(type_def_21,type,
product_prod_pi_pi: $tType ).
thf(type_def_22,type,
noption_Late_subject: $tType ).
thf(type_def_23,type,
noption_Late_freeRes: $tType ).
thf(type_def_24,type,
noption_name: $tType ).
thf(type_def_25,type,
noption_pi: $tType ).
thf(type_def_26,type,
late_residual: $tType ).
thf(type_def_27,type,
late_subject: $tType ).
thf(type_def_28,type,
late_freeRes: $tType ).
thf(type_def_29,type,
name: $tType ).
thf(type_def_30,type,
pi: $tType ).
thf(type_def_31,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,
subs: pi > name > name > pi ).
thf(func_def_11,type,
subst_name: name > name > name > name ).
thf(func_def_12,type,
if_name: $o > name > name > name ).
thf(func_def_13,type,
late_OutputR: name > name > late_freeRes ).
thf(func_def_14,type,
late_TauR: late_freeRes ).
thf(func_def_15,type,
late_BoundR: late_subject > name > pi > late_residual ).
thf(func_def_16,type,
late_FreeR: late_freeRes > pi > late_residual ).
thf(func_def_17,type,
late_BoundOutputS: name > late_subject ).
thf(func_def_18,type,
late_InputS: name > late_subject ).
thf(func_def_19,type,
late_transitions: pi > late_residual > $o ).
thf(func_def_20,type,
abs_fun_name_name: name > name > name > noption_name ).
thf(func_def_21,type,
abs_fun_name_pi: name > pi > name > noption_pi ).
thf(func_def_22,type,
abs_fu681348580reeRes: name > late_freeRes > name > noption_Late_freeRes ).
thf(func_def_23,type,
abs_fu1904601852ubject: name > late_subject > name > noption_Late_subject ).
thf(func_def_24,type,
fresh_1093033124n_name: name > ( name > noption_name ) > $o ).
thf(func_def_25,type,
fresh_543891186ion_pi: name > ( name > noption_pi ) > $o ).
thf(func_def_26,type,
fresh_785364841reeRes: name > ( name > noption_Late_freeRes ) > $o ).
thf(func_def_27,type,
fresh_728038529ubject: name > ( name > noption_Late_subject ) > $o ).
thf(func_def_28,type,
fresh_name_name: name > name > $o ).
thf(func_def_29,type,
fresh_name_pi: name > pi > $o ).
thf(func_def_30,type,
fresh_1641682979reeRes: name > late_freeRes > $o ).
thf(func_def_31,type,
fresh_81631222sidual: name > late_residual > $o ).
thf(func_def_32,type,
fresh_717452603ubject: name > late_subject > $o ).
thf(func_def_33,type,
fresh_225680151ion_pi: name > produc1462499409ion_pi > $o ).
thf(func_def_34,type,
fresh_453496559i_name: name > produc405342261i_name > $o ).
thf(func_def_35,type,
fresh_253309757_pi_pi: name > produc629157763_pi_pi > $o ).
thf(func_def_36,type,
fresh_1711070152reeRes: name > produc1834551554reeRes > $o ).
thf(func_def_37,type,
fresh_567880928ubject: name > produc691362330ubject > $o ).
thf(func_def_38,type,
fresh_1963366730reeRes: name > produc2008547984reeRes > $o ).
thf(func_def_39,type,
fresh_820177506ubject: name > produc865358760ubject > $o ).
thf(func_def_40,type,
fresh_1627595501_pi_pi: name > product_prod_pi_pi > $o ).
thf(func_def_41,type,
fresh_2007541374s_name: name > produc2052722628s_name > $o ).
thf(func_def_42,type,
fresh_1847501388Res_pi: name > produc992857746Res_pi > $o ).
thf(func_def_43,type,
fresh_493808761reeRes: name > produc1357834675reeRes > $o ).
thf(func_def_44,type,
fresh_1498103185ubject: name > produc214645451ubject > $o ).
thf(func_def_45,type,
fresh_1953561446t_name: name > produc1998742700t_name > $o ).
thf(func_def_46,type,
fresh_994896692ect_pi: name > produc140253050ect_pi > $o ).
thf(func_def_47,type,
fresh_1638563217reeRes: name > produc355105483reeRes > $o ).
thf(func_def_48,type,
fresh_495373993ubject: name > produc1359399907ubject > $o ).
thf(func_def_49,type,
produc1342893193ion_pi: ( name > noption_pi ) > ( name > noption_pi ) > produc1462499409ion_pi ).
thf(func_def_50,type,
produc540578151i_name: ( name > noption_pi ) > name > produc405342261i_name ).
thf(func_def_51,type,
produc1820286517_pi_pi: ( name > noption_pi ) > pi > produc629157763_pi_pi ).
thf(func_def_52,type,
produc1505598906reeRes: ( name > noption_pi ) > late_freeRes > produc1834551554reeRes ).
thf(func_def_53,type,
produc581368530ubject: ( name > noption_pi ) > late_subject > produc691362330ubject ).
thf(func_def_54,type,
produc1531804426reeRes: name > late_freeRes > produc2008547984reeRes ).
thf(func_def_55,type,
produc607574050ubject: name > late_subject > produc865358760ubject ).
thf(func_def_56,type,
product_Pair_pi_pi: pi > pi > product_prod_pi_pi ).
thf(func_def_57,type,
produc1701355766s_name: late_freeRes > name > produc2052722628s_name ).
thf(func_def_58,type,
produc1177552196Res_pi: late_freeRes > pi > produc992857746Res_pi ).
thf(func_def_59,type,
produc1244821099reeRes: late_freeRes > late_freeRes > produc1357834675reeRes ).
thf(func_def_60,type,
produc320590723ubject: late_freeRes > late_subject > produc214645451ubject ).
thf(func_def_61,type,
produc1647375838t_name: late_subject > name > produc1998742700t_name ).
thf(func_def_62,type,
produc324947500ect_pi: late_subject > pi > produc140253050ect_pi ).
thf(func_def_63,type,
produc242091907reeRes: late_subject > late_freeRes > produc355105483reeRes ).
thf(func_def_64,type,
produc1465345179ubject: late_subject > late_subject > produc1359399907ubject ).
thf(func_def_65,type,
eqvt_pi: set_Pr1834926343_pi_pi > $o ).
thf(func_def_66,type,
collec1051790738_pi_pi: ( product_prod_pi_pi > $o ) > set_Pr1834926343_pi_pi ).
thf(func_def_67,type,
strong2129052853vative: pi > pi > late_subject > name > set_Pr1834926343_pi_pi > $o ).
thf(func_def_68,type,
strong743114133lation: pi > set_Pr1834926343_pi_pi > pi > $o ).
thf(func_def_69,type,
member558706512_pi_pi: product_prod_pi_pi > set_Pr1834926343_pi_pi > $o ).
thf(func_def_70,type,
p: pi ).
thf(func_def_71,type,
pqr: pi ).
thf(func_def_72,type,
q: pi ).
thf(func_def_73,type,
qr: pi ).
thf(func_def_74,type,
q2: pi ).
thf(func_def_75,type,
r: pi ).
thf(func_def_76,type,
rel: set_Pr1834926343_pi_pi ).
thf(func_def_77,type,
a: late_subject ).
thf(func_def_78,type,
x: name ).
thf(func_def_82,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_83,type,
vAND: $o > $o > $o ).
thf(func_def_84,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_85,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_86,type,
vNOT: $o > $o ).
thf(func_def_87,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_88,type,
vOR: $o > $o > $o ).
thf(func_def_89,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_90,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_91,type,
vIMP: $o > $o > $o ).
thf(func_def_92,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_93,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_94,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_95,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_96,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_97,type,
sP0: set_Pr1834926343_pi_pi > pi > late_subject > pi > $o ).
thf(func_def_98,type,
sP1: set_Pr1834926343_pi_pi > pi > name > pi > name > $o ).
thf(func_def_99,type,
sP2: pi > set_Pr1834926343_pi_pi > pi > name > $o ).
thf(func_def_100,type,
sP3: name > pi > set_Pr1834926343_pi_pi > pi > $o ).
thf(func_def_101,type,
sP4: pi > set_Pr1834926343_pi_pi > late_freeRes > pi > name > $o ).
thf(func_def_102,type,
sP5: pi > name > set_Pr1834926343_pi_pi > pi > $o ).
thf(func_def_103,type,
sP6: pi > pi > set_Pr1834926343_pi_pi > pi > $o ).
thf(func_def_104,type,
sP7: pi > set_Pr1834926343_pi_pi > pi > pi > name > $o ).
thf(func_def_105,type,
sP8: set_Pr1834926343_pi_pi > pi > pi > name > $o ).
thf(func_def_106,type,
sP9: pi > set_Pr1834926343_pi_pi > pi > late_freeRes > $o ).
thf(func_def_107,type,
sP10: late_subject > name > pi > pi > pi > $o ).
thf(func_def_108,type,
sP11: late_subject > pi > set_Pr1834926343_pi_pi > pi > name > $o ).
thf(func_def_109,type,
sP12: pi > pi > set_Pr1834926343_pi_pi > name > $o ).
thf(func_def_110,type,
sK13: set_Pr1834926343_pi_pi > pi > late_subject > pi > late_subject ).
thf(func_def_111,type,
sK14: set_Pr1834926343_pi_pi > pi > late_subject > pi > name ).
thf(func_def_112,type,
sK15: set_Pr1834926343_pi_pi > pi > late_subject > pi > pi ).
thf(func_def_113,type,
sK16: pi > pi > set_Pr1834926343_pi_pi > late_freeRes ).
thf(func_def_114,type,
sK17: pi > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_115,type,
sK18: pi > late_subject > set_Pr1834926343_pi_pi > name > pi > pi ).
thf(func_def_116,type,
sK19: set_Pr1834926343_pi_pi > pi ).
thf(func_def_117,type,
sK20: pi > set_Pr1834926343_pi_pi > pi > name > pi ).
thf(func_def_118,type,
sK21: pi > set_Pr1834926343_pi_pi > pi > name > name ).
thf(func_def_119,type,
sK22: set_Pr1834926343_pi_pi > pi > name > pi > name > late_subject ).
thf(func_def_120,type,
sK23: set_Pr1834926343_pi_pi > pi > name > pi > name > pi ).
thf(func_def_121,type,
sK24: set_Pr1834926343_pi_pi > pi > name > pi > name > name ).
thf(func_def_122,type,
sK25: pi > pi > set_Pr1834926343_pi_pi > name > late_freeRes ).
thf(func_def_123,type,
sK26: pi > pi > set_Pr1834926343_pi_pi > name > pi ).
thf(func_def_124,type,
sK27: name > pi > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_125,type,
sK28: name > pi > set_Pr1834926343_pi_pi > pi > name ).
thf(func_def_126,type,
sK29: name > pi > set_Pr1834926343_pi_pi > pi > late_subject ).
thf(func_def_127,type,
sK30: pi > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_128,type,
sK31: pi > set_Pr1834926343_pi_pi > pi > late_freeRes ).
thf(func_def_129,type,
sK32: pi > name > set_Pr1834926343_pi_pi > pi > late_freeRes ).
thf(func_def_130,type,
sK33: pi > name > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_131,type,
sK34: pi > set_Pr1834926343_pi_pi > late_freeRes > pi > name > pi ).
thf(func_def_132,type,
sK35: pi > set_Pr1834926343_pi_pi > late_freeRes > pi > name > name ).
thf(func_def_133,type,
sK36: pi > set_Pr1834926343_pi_pi > late_freeRes > pi > name > late_subject ).
thf(func_def_134,type,
sK37: name > set_Pr1834926343_pi_pi > pi > pi > name ).
thf(func_def_135,type,
sK38: name > set_Pr1834926343_pi_pi > pi > pi > pi ).
thf(func_def_136,type,
sK39: pi > pi > set_Pr1834926343_pi_pi > pi > name ).
thf(func_def_137,type,
sK40: pi > pi > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_138,type,
sK41: pi > pi > set_Pr1834926343_pi_pi > pi > late_subject ).
thf(func_def_139,type,
sK42: set_Pr1834926343_pi_pi > pi > pi > pi ).
thf(func_def_140,type,
sK43: set_Pr1834926343_pi_pi > pi > pi > late_freeRes ).
thf(func_def_141,type,
sK44: set_Pr1834926343_pi_pi > pi ).
thf(func_def_142,type,
sK45: set_Pr1834926343_pi_pi > name ).
thf(func_def_143,type,
sK46: set_Pr1834926343_pi_pi > pi ).
thf(func_def_144,type,
sK47: set_Pr1834926343_pi_pi > pi ).
thf(func_def_145,type,
sK48: set_Pr1834926343_pi_pi > pi ).
thf(func_def_146,type,
sK49: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_147,type,
sK50: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_148,type,
sK51: ( late_subject > late_residual > $o ) > name ).
thf(func_def_149,type,
sK52: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_150,type,
sK53: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_151,type,
sK54: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_152,type,
sK55: ( late_subject > late_residual > $o ) > late_freeRes ).
thf(func_def_153,type,
sK56: set_Pr1834926343_pi_pi > pi > pi > name > name ).
thf(func_def_154,type,
sK57: set_Pr1834926343_pi_pi > pi > pi > name > pi ).
thf(func_def_155,type,
sK58: pi > set_Pr1834926343_pi_pi > pi > pi > name > name ).
thf(func_def_156,type,
sK59: pi > set_Pr1834926343_pi_pi > pi > pi > name > late_subject ).
thf(func_def_157,type,
sK60: pi > set_Pr1834926343_pi_pi > pi > pi > name > pi ).
thf(func_def_158,type,
sK61: set_Pr1834926343_pi_pi > pi > name > pi > pi ).
thf(func_def_159,type,
sK62: set_Pr1834926343_pi_pi > pi > name > pi > late_freeRes ).
thf(func_def_160,type,
sK63: pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi ).
thf(func_def_161,type,
sK64: ( late_residual > $o ) > pi ).
thf(func_def_162,type,
sK65: ( late_residual > $o ) > late_subject ).
thf(func_def_163,type,
sK66: ( late_residual > $o ) > name ).
thf(func_def_164,type,
sK67: ( late_residual > $o ) > pi ).
thf(func_def_165,type,
sK68: ( late_residual > $o ) > late_freeRes ).
thf(func_def_166,type,
sK69: pi > ( pi > $o ) > name > pi > late_subject > pi ).
thf(func_def_167,type,
sK70: pi > ( pi > $o ) > name > pi > late_subject > pi ).
thf(func_def_168,type,
sK71: pi > set_Pr1834926343_pi_pi > pi > late_freeRes > pi ).
thf(func_def_169,type,
sK72: pi > set_Pr1834926343_pi_pi > pi > late_freeRes > late_subject ).
thf(func_def_170,type,
sK73: pi > set_Pr1834926343_pi_pi > pi > late_freeRes > name ).
thf(func_def_171,type,
sK74: pi > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_172,type,
sK75: pi > set_Pr1834926343_pi_pi > pi > late_freeRes ).
thf(func_def_173,type,
sK76: ( pi > late_residual > $o ) > late_subject ).
thf(func_def_174,type,
sK77: ( pi > late_residual > $o ) > pi ).
thf(func_def_175,type,
sK78: ( pi > late_residual > $o ) > name ).
thf(func_def_176,type,
sK79: ( pi > late_residual > $o ) > pi ).
thf(func_def_177,type,
sK80: ( pi > late_residual > $o ) > pi ).
thf(func_def_178,type,
sK81: ( pi > late_residual > $o ) > pi ).
thf(func_def_179,type,
sK82: ( pi > late_residual > $o ) > late_freeRes ).
thf(func_def_180,type,
sK83: late_subject > name > pi > pi > pi > name ).
thf(func_def_181,type,
sK84: late_subject > name > pi > pi > pi > pi ).
thf(func_def_182,type,
sK85: late_subject > name > pi > pi > pi > pi ).
thf(func_def_183,type,
sK86: late_subject > name > pi > pi > pi > pi ).
thf(func_def_184,type,
sK87: late_subject > name > pi > pi > pi > late_subject ).
thf(func_def_185,type,
sK88: pi > name > late_subject > pi > pi > pi ).
thf(func_def_186,type,
sK89: pi > name > late_subject > pi > pi > late_subject ).
thf(func_def_187,type,
sK90: pi > name > late_subject > pi > pi > pi ).
thf(func_def_188,type,
sK91: pi > name > late_subject > pi > pi > pi ).
thf(func_def_189,type,
sK92: pi > name > late_subject > pi > pi > name ).
thf(func_def_190,type,
sK93: pi > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_191,type,
sK94: pi > pi > set_Pr1834926343_pi_pi > late_subject ).
thf(func_def_192,type,
sK95: pi > pi > set_Pr1834926343_pi_pi > name ).
thf(func_def_193,type,
sK96: pi > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_194,type,
sK97: pi > pi > set_Pr1834926343_pi_pi > late_freeRes ).
thf(func_def_195,type,
sK98: set_Pr1834926343_pi_pi > pi ).
thf(func_def_196,type,
sK99: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_197,type,
sK100: ( late_subject > late_residual > $o ) > name ).
thf(func_def_198,type,
sK101: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_199,type,
sK102: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_200,type,
sK103: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_201,type,
sK104: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_202,type,
sK105: ( late_subject > late_residual > $o ) > late_freeRes ).
thf(func_def_203,type,
sK106: ( pi > late_residual > $o ) > name ).
thf(func_def_204,type,
sK107: ( pi > late_residual > $o ) > pi ).
thf(func_def_205,type,
sK108: ( pi > late_residual > $o ) > late_subject ).
thf(func_def_206,type,
sK109: ( pi > late_residual > $o ) > pi ).
thf(func_def_207,type,
sK110: ( pi > late_residual > $o ) > late_freeRes ).
thf(func_def_208,type,
sK111: ( pi > late_residual > $o ) > pi ).
thf(func_def_209,type,
sK112: ( pi > late_residual > $o ) > pi ).
thf(func_def_210,type,
sK113: pi > pi > set_Pr1834926343_pi_pi > name > late_freeRes ).
thf(func_def_211,type,
sK114: pi > pi > set_Pr1834926343_pi_pi > name > pi ).
thf(func_def_212,type,
sK115: late_subject > pi > set_Pr1834926343_pi_pi > pi > name > late_subject ).
thf(func_def_213,type,
sK116: late_subject > pi > set_Pr1834926343_pi_pi > pi > name > pi ).
thf(func_def_214,type,
sK117: late_subject > pi > set_Pr1834926343_pi_pi > pi > name > name ).
thf(func_def_215,type,
sK118: pi > pi > set_Pr1834926343_pi_pi > name > name ).
thf(func_def_216,type,
sK119: pi > pi > set_Pr1834926343_pi_pi > name > pi ).
thf(f1,axiom,
strong2129052853vative @ ( par @ ( par @ p @ q2 ) @ r ) @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062derivative_A_I_IP_A_092_060parallel_062_AQ_H_J_A_092_060parallel_062_AR_J_A_IP_A_092_060parallel_062_AQ_H_A_092_060parallel_062_AR_J_Aa_Ax_ARel_092_060close_062) ).
thf(f3,axiom,
late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ ( par @ ( par @ p @ q2 ) @ r ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__092_060open_062_IP_A_092_060parallel_062_AQ_J_A_092_060parallel_062_AR_A_092_060longmapsto_062_Aa_092_060guillemotleft_062x_092_060guillemotright_062_A_092_060prec_062_A_IP_A_092_060parallel_062_AQ_H_J_A_092_060parallel_062_AR_092_060close_062) ).
thf(f321,conjecture,
? [X0: pi] :
( ( strong2129052853vative @ X0 @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel )
& ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f322,negated_conjecture,
~ ? [X0: pi] :
( ( strong2129052853vative @ X0 @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel )
& ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f321]) ).
thf(f540,plain,
~ ? [X0: pi] :
( ( strong2129052853vative @ X0 @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel )
& ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ X0 ) ) ),
inference(rectify,[],[f322]) ).
thf(f541,plain,
~ ? [X0: pi] :
( ( ( strong2129052853vative @ X0 @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel )
= $true )
& ( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ X0 ) )
= $true ) ),
inference(fool_elimination,[],[f540]) ).
thf(f556,plain,
strong2129052853vative @ ( par @ ( par @ p @ q2 ) @ r ) @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel,
inference(rectify,[],[f1]) ).
thf(f557,plain,
( ( strong2129052853vative @ ( par @ ( par @ p @ q2 ) @ r ) @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel )
= $true ),
inference(fool_elimination,[],[f556]) ).
thf(f684,plain,
late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ ( par @ ( par @ p @ q2 ) @ r ) ),
inference(rectify,[],[f3]) ).
thf(f685,plain,
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ ( par @ ( par @ p @ q2 ) @ r ) ) )
= $true ),
inference(fool_elimination,[],[f684]) ).
thf(f830,plain,
! [X0: pi] :
( ( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ X0 ) )
!= $true )
| ( ( strong2129052853vative @ X0 @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel )
!= $true ) ),
inference(ennf_transformation,[],[f541]) ).
thf(f1030,plain,
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ ( par @ ( par @ p @ q2 ) @ r ) ) )
= $true ),
inference(cnf_transformation,[],[f685]) ).
thf(f1055,plain,
( ( strong2129052853vative @ ( par @ ( par @ p @ q2 ) @ r ) @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel )
= $true ),
inference(cnf_transformation,[],[f557]) ).
thf(f1124,plain,
! [X0: pi] :
( ( ( strong2129052853vative @ X0 @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel )
!= $true )
| ( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ X0 ) )
!= $true ) ),
inference(cnf_transformation,[],[f830]) ).
thf(f1147,plain,
( ( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ ( par @ ( par @ p @ q2 ) @ r ) ) )
!= $true )
| ( $true != $true ) ),
inference(superposition,[],[f1124,f1055]) ).
thf(f1152,plain,
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ ( par @ ( par @ p @ q2 ) @ r ) ) )
!= $true ),
inference(trivial_inequality_removal,[],[f1147]) ).
thf(f1153,plain,
$false,
inference(forward_subsumption_resolution,[],[f1152,f1030]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP184^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 20:07:49 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running higher-order theorem proving
% 0.08/0.16 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
% 0.37/0.25 % (620431)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.37/0.25 % (620442)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.37/0.25 % (620442)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
% 0.37/0.25 % (620437)lrs+10_16_si=on:nwc=1.5:random_seed=3877148476:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.37/0.25 % (620440)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2246619375:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.37/0.25 % (620438)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=943814338:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.37/0.25 % (620436)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1609718868:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.37/0.25 % (620439)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=1303171935: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)
% 0.37/0.25 % (620441)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1982657416:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.37/0.25 % (620442)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=3679064111:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.37/0.25 % (620438)Instruction limit reached!
% 0.37/0.25 % (620438)------------------------------
% 0.37/0.25 % (620438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.25 % (620438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.25 % (620438)CaDiCaL version: 2.1.3
% 0.37/0.25 % (620438)Termination reason: Instruction limit
% 0.37/0.25 % (620438)Termination phase: shuffling
% 0.37/0.25 % (620438)Time elapsed: 0.001 s
% 0.37/0.25 % (620438)Peak memory usage: 10 MB
% 0.37/0.25 % (620438)Instructions burned: 5 (million)
% 0.37/0.25 % (620437)Instruction limit reached!
% 0.37/0.25 % (620437)------------------------------
% 0.37/0.25 % (620437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.25 % (620437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.25 % (620437)CaDiCaL version: 2.1.3
% 0.37/0.25 % (620437)Termination reason: Instruction limit
% 0.37/0.25 % (620437)Termination phase: shuffling
% 0.37/0.25 % (620437)Time elapsed: 0.004 s
% 0.37/0.25 % (620437)Peak memory usage: 10 MB
% 0.37/0.25 % (620437)Instructions burned: 19 (million)
% 0.37/0.25 % (620440)Instruction limit reached!
% 0.37/0.25 % (620440)------------------------------
% 0.37/0.25 % (620440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.25 % (620440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.25 % (620440)CaDiCaL version: 2.1.3
% 0.37/0.25 % (620440)Termination reason: Instruction limit
% 0.37/0.25 % (620440)Termination phase: shuffling
% 0.37/0.25 % (620440)Time elapsed: 0.006 s
% 0.37/0.25 % (620440)Peak memory usage: 10 MB
% 0.37/0.25 % (620440)Instructions burned: 29 (million)
% 0.37/0.25 % (620450)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=593051847:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.37/0.25 % (620452)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.37/0.25 % (620451)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1990469853:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.37/0.25 % (620450)Instruction limit reached!
% 0.37/0.25 % (620450)------------------------------
% 0.37/0.25 % (620450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.25 % (620450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.25 % (620450)CaDiCaL version: 2.1.3
% 0.37/0.25 % (620450)Termination reason: Instruction limit
% 0.37/0.25 % (620450)Termination phase: shuffling
% 0.37/0.27 % (620450)Time elapsed: 0.002 s
% 0.37/0.27 % (620450)Peak memory usage: 10 MB
% 0.37/0.27 % (620450)Instructions burned: 11 (million)
% 0.37/0.27 % (620451)Instruction limit reached!
% 0.37/0.27 % (620451)------------------------------
% 0.37/0.27 % (620451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.27 % (620451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.27 % (620451)CaDiCaL version: 2.1.3
% 0.37/0.27 % (620451)Termination reason: Instruction limit
% 0.37/0.27 % (620451)Termination phase: shuffling
% 0.37/0.27 % (620451)Time elapsed: 0.001 s
% 0.37/0.27 % (620451)Peak memory usage: 10 MB
% 0.37/0.27 % (620451)Instructions burned: 5 (million)
% 0.37/0.27 % (620452)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1499427934:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.37/0.27 % (620441)Instruction limit reached!
% 0.37/0.27 % (620441)------------------------------
% 0.37/0.27 % (620441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.27 % (620441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.27 % (620441)CaDiCaL version: 2.1.3
% 0.37/0.27 % (620441)Termination reason: Instruction limit
% 0.37/0.27 % (620441)Termination phase: Preprocessing 3
% 0.37/0.27 % (620441)Time elapsed: 0.018 s
% 0.37/0.27 % (620441)Peak memory usage: 12 MB
% 0.37/0.27 % (620441)Instructions burned: 78 (million)
% 0.37/0.27 % (620452)Instruction limit reached!
% 0.37/0.27 % (620452)------------------------------
% 0.37/0.27 % (620452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.27 % (620452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.27 % (620452)CaDiCaL version: 2.1.3
% 0.37/0.27 % (620452)Termination reason: Instruction limit
% 0.37/0.27 % (620452)Termination phase: shuffling
% 0.37/0.27 % (620452)Time elapsed: 0.002 s
% 0.37/0.27 % (620452)Peak memory usage: 10 MB
% 0.37/0.27 % (620452)Instructions burned: 8 (million)
% 0.37/0.27 % (620457)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
% 0.37/0.27 % (620457)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.37/0.27 % (620455)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1624173294:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.37/0.27 % (620457)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3412201972:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.37/0.27 % (620436)Instruction limit reached!
% 0.37/0.27 % (620436)------------------------------
% 0.37/0.27 % (620436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.27 % (620436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.27 % (620436)CaDiCaL version: 2.1.3
% 0.37/0.27 % (620436)Termination reason: Instruction limit
% 0.37/0.27 % (620436)Termination phase: Preprocessing 3
% 0.37/0.27 % (620436)Time elapsed: 0.029 s
% 0.37/0.27 % (620436)Peak memory usage: 12 MB
% 0.37/0.27 % (620436)Instructions burned: 87 (million)
% 0.37/0.27 % (620459)lrs+10_1_si=on:cs=on:random_seed=1956830329:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.37/0.27 % (620458)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=1211712011:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.37/0.27 % (620455)Instruction limit reached!
% 0.37/0.27 % (620455)------------------------------
% 0.37/0.27 % (620455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.27 % (620455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.27 % (620455)CaDiCaL version: 2.1.3
% 0.37/0.27 % (620455)Termination reason: Instruction limit
% 0.37/0.27 % (620455)Termination phase: shuffling
% 0.37/0.27 % (620455)Time elapsed: 0.004 s
% 0.37/0.27 % (620455)Peak memory usage: 11 MB
% 0.37/0.27 % (620455)Instructions burned: 16 (million)
% 0.37/0.27 % (620459)Instruction limit reached!
% 0.37/0.27 % (620459)------------------------------
% 0.37/0.27 % (620459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.28 % (620459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.28 % (620459)CaDiCaL version: 2.1.3
% 0.37/0.28 % (620459)Termination reason: Instruction limit
% 0.37/0.28 % (620459)Termination phase: shuffling
% 0.37/0.28 % (620459)Time elapsed: 0.003 s
% 0.37/0.28 % (620459)Peak memory usage: 10 MB
% 0.37/0.28 % (620459)Instructions burned: 12 (million)
% 0.37/0.28 % (620457)Instruction limit reached!
% 0.37/0.28 % (620457)------------------------------
% 0.37/0.28 % (620457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.28 % (620457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.28 % (620457)CaDiCaL version: 2.1.3
% 0.37/0.28 % (620457)Termination reason: Instruction limit
% 0.37/0.28 % (620457)Termination phase: shuffling
% 0.37/0.28 % (620457)Time elapsed: 0.007 s
% 0.37/0.28 % (620457)Peak memory usage: 11 MB
% 0.37/0.28 % (620457)Instructions burned: 31 (million)
% 0.37/0.28 % (620442)Instruction limit reached!
% 0.37/0.28 % (620442)------------------------------
% 0.37/0.28 % (620442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.28 % (620442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.28 % (620465)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2656032828:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.37/0.28 % (620442)CaDiCaL version: 2.1.3
% 0.37/0.28 % (620442)Termination reason: Instruction limit
% 0.37/0.28 % (620442)Termination phase: Property scanning
% 0.37/0.28 % (620442)Time elapsed: 0.041 s
% 0.37/0.28 % (620442)Peak memory usage: 14 MB
% 0.37/0.28 % (620442)Instructions burned: 158 (million)
% 0.37/0.28 % (620466)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1826819324:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.37/0.28 % (620464)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.37/0.28 % (620467)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3367324235:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.37/0.28 % (620464)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=1543947142:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.37/0.28 % (620464)Instruction limit reached!
% 0.37/0.28 % (620464)------------------------------
% 0.37/0.28 % (620464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.28 % (620464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.28 % (620464)CaDiCaL version: 2.1.3
% 0.37/0.28 % (620464)Termination reason: Instruction limit
% 0.37/0.28 % (620464)Termination phase: shuffling
% 0.37/0.28 % (620464)Time elapsed: 0.002 s
% 0.37/0.28 % (620464)Peak memory usage: 10 MB
% 0.37/0.28 % (620464)Instructions burned: 3 (million)
% 0.37/0.28 % (620458)Instruction limit reached!
% 0.37/0.28 % (620458)------------------------------
% 0.37/0.28 % (620458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.28 % (620458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.28 % (620458)CaDiCaL version: 2.1.3
% 0.37/0.28 % (620458)Termination reason: Instruction limit
% 0.37/0.28 % (620458)Termination phase: Property scanning
% 0.37/0.28 % (620458)Time elapsed: 0.020 s
% 0.37/0.28 % (620458)Peak memory usage: 12 MB
% 0.37/0.28 % (620458)Instructions burned: 89 (million)
% 0.37/0.28 % (620465)Instruction limit reached!
% 0.37/0.28 % (620465)------------------------------
% 0.37/0.28 % (620465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.28 % (620465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.28 % (620465)CaDiCaL version: 2.1.3
% 0.37/0.28 % (620465)Termination reason: Instruction limit
% 0.37/0.28 % (620465)Termination phase: Property scanning
% 0.37/0.28 % (620465)Time elapsed: 0.009 s
% 0.37/0.28 % (620465)Peak memory usage: 11 MB
% 0.37/0.28 % (620465)Instructions burned: 41 (million)
% 0.37/0.28 % (620467)Instruction limit reached!
% 0.37/0.28 % (620467)------------------------------
% 0.37/0.28 % (620467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.28 % (620467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.28 % (620467)CaDiCaL version: 2.1.3
% 0.37/0.28 % (620467)Termination reason: Instruction limit
% 0.37/0.28 % (620467)Termination phase: shuffling
% 0.37/0.28 % (620467)Time elapsed: 0.006 s
% 0.37/0.28 % (620467)Peak memory usage: 11 MB
% 0.37/0.28 % (620467)Instructions burned: 27 (million)
% 0.37/0.28 % (620469)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=503894115:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.37/0.28 % (620469)Instruction limit reached!
% 0.37/0.28 % (620469)------------------------------
% 0.37/0.28 % (620469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.28 % (620469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.28 % (620469)CaDiCaL version: 2.1.3
% 0.37/0.28 % (620469)Termination reason: Instruction limit
% 0.37/0.28 % (620469)Termination phase: shuffling
% 0.37/0.28 % (620469)Time elapsed: 0.003 s
% 0.37/0.28 % (620469)Peak memory usage: 10 MB
% 0.37/0.28 % (620469)Instructions burned: 15 (million)
% 0.37/0.28 % (620474)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2903232461:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.37/0.28 % (620473)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2600204991:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.37/0.28 % (620475)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=605028475:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.37/0.28 % (620476)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3344832813:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.37/0.28 % (620474)Instruction limit reached!
% 0.37/0.28 % (620474)------------------------------
% 0.37/0.28 % (620474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.28 % (620474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.28 % (620474)CaDiCaL version: 2.1.3
% 0.37/0.28 % (620474)Termination reason: Instruction limit
% 0.37/0.28 % (620474)Termination phase: shuffling
% 0.37/0.28 % (620474)Time elapsed: 0.004 s
% 0.37/0.28 % (620474)Peak memory usage: 11 MB
% 0.37/0.28 % (620474)Instructions burned: 16 (million)
% 0.37/0.28 % (620475)Instruction limit reached!
% 0.37/0.28 % (620475)------------------------------
% 0.37/0.28 % (620475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.28 % (620475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.28 % (620475)CaDiCaL version: 2.1.3
% 0.37/0.28 % (620475)Termination reason: Instruction limit
% 0.37/0.28 % (620475)Termination phase: shuffling
% 0.37/0.28 % (620475)Time elapsed: 0.003 s
% 0.37/0.28 % (620475)Peak memory usage: 10 MB
% 0.37/0.28 % (620475)Instructions burned: 14 (million)
% 0.37/0.28 % (620478)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3843089279:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.37/0.28 % (620476)Instruction limit reached!
% 0.37/0.28 % (620476)------------------------------
% 0.37/0.28 % (620476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.28 % (620476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.28 % (620476)CaDiCaL version: 2.1.3
% 0.37/0.28 % (620476)Termination reason: Instruction limit
% 0.37/0.28 % (620476)Termination phase: shuffling
% 0.37/0.28 % (620476)Time elapsed: 0.006 s
% 0.37/0.28 % (620476)Peak memory usage: 11 MB
% 0.37/0.28 % (620476)Instructions burned: 27 (million)
% 0.37/0.28 % (620478)Instruction limit reached!
% 0.37/0.28 % (620478)------------------------------
% 0.37/0.28 % (620478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.28 % (620478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.28 % (620478)CaDiCaL version: 2.1.3
% 0.37/0.28 % (620478)Termination reason: Instruction limit
% 0.37/0.28 % (620478)Termination phase: shuffling
% 0.37/0.28 % (620478)Time elapsed: 0.005 s
% 0.37/0.28 % (620478)Peak memory usage: 11 MB
% 0.37/0.28 % (620478)Instructions burned: 24 (million)
% 0.37/0.28 % (620466) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-620431-620466"...
% 0.37/0.28 % (620484)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
% 0.37/0.28 % (620484)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.37/0.28 % (620483)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1506502582:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.37/0.28 % (620466)...printing done.
% 0.37/0.28 % (620484)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=3472076340:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.37/0.28 % (620466)Refutation found. Thanks to Tanya!
% 0.37/0.28 % SZS status Theorem for theBenchmark
% 0.37/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.37/0.28 % (620466)------------------------------
% 0.37/0.28 % (620466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.28 % (620466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.28 % (620466)CaDiCaL version: 2.1.3
% 0.37/0.28 % (620466)Termination reason: Refutation
% 0.37/0.28 % (620466)Time elapsed: 0.031 s
% 0.37/0.28 % (620466)Peak memory usage: 15 MB
% 0.37/0.28 % (620466)Instructions burned: 127 (million)
% 0.37/0.28 % (620431)Success in time 0.116 s
% 0.37/0.28 % Vampire exiting
%------------------------------------------------------------------------------