%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP189^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 08:08:44 AM UTC 2026
% Result : Theorem 1.53s 0.72s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 98 ( 28 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 268 ( 19 ~; 11 |; 0 &; 232 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 32 ( 31 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 177 ( 174 usr; 13 con; 0-5 aty)
% Number of variables : 28 ( 0 ^; 28 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr1569510577ion_pi: $tType ).
thf(type_def_6,type,
produc1462499409ion_pi: $tType ).
thf(type_def_7,type,
set_Pr248416762ubject: $tType ).
thf(type_def_8,type,
set_Pr305743074reeRes: $tType ).
thf(type_def_9,type,
set_Pr1294453099i_name: $tType ).
thf(type_def_10,type,
produc691362330ubject: $tType ).
thf(type_def_11,type,
produc1834551554reeRes: $tType ).
thf(type_def_12,type,
set_Pr1694908217_pi_pi: $tType ).
thf(type_def_13,type,
produc405342261i_name: $tType ).
thf(type_def_14,type,
produc629157763_pi_pi: $tType ).
thf(type_def_15,type,
produc1359399907ubject: $tType ).
thf(type_def_16,type,
produc355105483reeRes: $tType ).
thf(type_def_17,type,
produc214645451ubject: $tType ).
thf(type_def_18,type,
produc1357834675reeRes: $tType ).
thf(type_def_19,type,
produc1998742700t_name: $tType ).
thf(type_def_20,type,
produc2052722628s_name: $tType ).
thf(type_def_21,type,
produc865358760ubject: $tType ).
thf(type_def_22,type,
produc2008547984reeRes: $tType ).
thf(type_def_23,type,
produc140253050ect_pi: $tType ).
thf(type_def_24,type,
produc992857746Res_pi: $tType ).
thf(type_def_25,type,
set_Pr1834926343_pi_pi: $tType ).
thf(type_def_26,type,
product_prod_pi_pi: $tType ).
thf(type_def_27,type,
noption_Late_subject: $tType ).
thf(type_def_28,type,
noption_Late_freeRes: $tType ).
thf(type_def_29,type,
noption_name: $tType ).
thf(type_def_30,type,
noption_pi: $tType ).
thf(type_def_31,type,
late_residual: $tType ).
thf(type_def_32,type,
late_subject: $tType ).
thf(type_def_33,type,
late_freeRes: $tType ).
thf(type_def_34,type,
name: $tType ).
thf(type_def_35,type,
pi: $tType ).
thf(type_def_36,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
input: name > name > pi > pi ).
thf(func_def_1,type,
output: name > name > pi > pi ).
thf(func_def_2,type,
par: pi > pi > pi ).
thf(func_def_3,type,
piNil: pi ).
thf(func_def_4,type,
res: name > pi > pi ).
thf(func_def_5,type,
sum: pi > pi > pi ).
thf(func_def_6,type,
tau: pi > pi ).
thf(func_def_7,type,
subs: pi > name > name > pi ).
thf(func_def_8,type,
subst_name: name > name > name > name ).
thf(func_def_9,type,
late_OutputR: name > name > late_freeRes ).
thf(func_def_10,type,
late_TauR: late_freeRes ).
thf(func_def_11,type,
late_BoundR: late_subject > name > pi > late_residual ).
thf(func_def_12,type,
late_FreeR: late_freeRes > pi > late_residual ).
thf(func_def_13,type,
late_BoundOutputS: name > late_subject ).
thf(func_def_14,type,
late_InputS: name > late_subject ).
thf(func_def_15,type,
late_transitions: pi > late_residual > $o ).
thf(func_def_16,type,
abs_fun_name_name: name > name > name > noption_name ).
thf(func_def_17,type,
abs_fun_name_pi: name > pi > name > noption_pi ).
thf(func_def_18,type,
abs_fu681348580reeRes: name > late_freeRes > name > noption_Late_freeRes ).
thf(func_def_19,type,
abs_fu1904601852ubject: name > late_subject > name > noption_Late_subject ).
thf(func_def_20,type,
fresh_1093033124n_name: name > ( name > noption_name ) > $o ).
thf(func_def_21,type,
fresh_543891186ion_pi: name > ( name > noption_pi ) > $o ).
thf(func_def_22,type,
fresh_785364841reeRes: name > ( name > noption_Late_freeRes ) > $o ).
thf(func_def_23,type,
fresh_728038529ubject: name > ( name > noption_Late_subject ) > $o ).
thf(func_def_24,type,
fresh_name_name: name > name > $o ).
thf(func_def_25,type,
fresh_name_pi: name > pi > $o ).
thf(func_def_26,type,
fresh_1641682979reeRes: name > late_freeRes > $o ).
thf(func_def_27,type,
fresh_81631222sidual: name > late_residual > $o ).
thf(func_def_28,type,
fresh_717452603ubject: name > late_subject > $o ).
thf(func_def_29,type,
fresh_225680151ion_pi: name > produc1462499409ion_pi > $o ).
thf(func_def_30,type,
fresh_453496559i_name: name > produc405342261i_name > $o ).
thf(func_def_31,type,
fresh_253309757_pi_pi: name > produc629157763_pi_pi > $o ).
thf(func_def_32,type,
fresh_1711070152reeRes: name > produc1834551554reeRes > $o ).
thf(func_def_33,type,
fresh_567880928ubject: name > produc691362330ubject > $o ).
thf(func_def_34,type,
fresh_1963366730reeRes: name > produc2008547984reeRes > $o ).
thf(func_def_35,type,
fresh_820177506ubject: name > produc865358760ubject > $o ).
thf(func_def_36,type,
fresh_1627595501_pi_pi: name > product_prod_pi_pi > $o ).
thf(func_def_37,type,
fresh_2007541374s_name: name > produc2052722628s_name > $o ).
thf(func_def_38,type,
fresh_1847501388Res_pi: name > produc992857746Res_pi > $o ).
thf(func_def_39,type,
fresh_493808761reeRes: name > produc1357834675reeRes > $o ).
thf(func_def_40,type,
fresh_1498103185ubject: name > produc214645451ubject > $o ).
thf(func_def_41,type,
fresh_1953561446t_name: name > produc1998742700t_name > $o ).
thf(func_def_42,type,
fresh_994896692ect_pi: name > produc140253050ect_pi > $o ).
thf(func_def_43,type,
fresh_1638563217reeRes: name > produc355105483reeRes > $o ).
thf(func_def_44,type,
fresh_495373993ubject: name > produc1359399907ubject > $o ).
thf(func_def_45,type,
ord_le1032043601ion_pi: set_Pr1569510577ion_pi > set_Pr1569510577ion_pi > $o ).
thf(func_def_46,type,
ord_le2082425291i_name: set_Pr1294453099i_name > set_Pr1294453099i_name > $o ).
thf(func_def_47,type,
ord_le1854926745_pi_pi: set_Pr1694908217_pi_pi > set_Pr1694908217_pi_pi > $o ).
thf(func_def_48,type,
ord_le1762471042reeRes: set_Pr305743074reeRes > set_Pr305743074reeRes > $o ).
thf(func_def_49,type,
ord_le1705144730ubject: set_Pr248416762ubject > set_Pr248416762ubject > $o ).
thf(func_def_50,type,
ord_le630093991_pi_pi: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > $o ).
thf(func_def_51,type,
produc1342893193ion_pi: ( name > noption_pi ) > ( name > noption_pi ) > produc1462499409ion_pi ).
thf(func_def_52,type,
produc540578151i_name: ( name > noption_pi ) > name > produc405342261i_name ).
thf(func_def_53,type,
produc1820286517_pi_pi: ( name > noption_pi ) > pi > produc629157763_pi_pi ).
thf(func_def_54,type,
produc1505598906reeRes: ( name > noption_pi ) > late_freeRes > produc1834551554reeRes ).
thf(func_def_55,type,
produc581368530ubject: ( name > noption_pi ) > late_subject > produc691362330ubject ).
thf(func_def_56,type,
produc1531804426reeRes: name > late_freeRes > produc2008547984reeRes ).
thf(func_def_57,type,
produc607574050ubject: name > late_subject > produc865358760ubject ).
thf(func_def_58,type,
product_Pair_pi_pi: pi > pi > product_prod_pi_pi ).
thf(func_def_59,type,
produc1701355766s_name: late_freeRes > name > produc2052722628s_name ).
thf(func_def_60,type,
produc1177552196Res_pi: late_freeRes > pi > produc992857746Res_pi ).
thf(func_def_61,type,
produc1244821099reeRes: late_freeRes > late_freeRes > produc1357834675reeRes ).
thf(func_def_62,type,
produc320590723ubject: late_freeRes > late_subject > produc214645451ubject ).
thf(func_def_63,type,
produc1647375838t_name: late_subject > name > produc1998742700t_name ).
thf(func_def_64,type,
produc324947500ect_pi: late_subject > pi > produc140253050ect_pi ).
thf(func_def_65,type,
produc242091907reeRes: late_subject > late_freeRes > produc355105483reeRes ).
thf(func_def_66,type,
produc1465345179ubject: late_subject > late_subject > produc1359399907ubject ).
thf(func_def_67,type,
eqvt_pi: set_Pr1834926343_pi_pi > $o ).
thf(func_def_68,type,
id_name_noption_pi: set_Pr1569510577ion_pi ).
thf(func_def_69,type,
id_pi: set_Pr1834926343_pi_pi ).
thf(func_def_70,type,
collec1051790738_pi_pi: ( product_prod_pi_pi > $o ) > set_Pr1834926343_pi_pi ).
thf(func_def_71,type,
strong2129052853vative: pi > pi > late_subject > name > set_Pr1834926343_pi_pi > $o ).
thf(func_def_72,type,
strong743114133lation: pi > set_Pr1834926343_pi_pi > pi > $o ).
thf(func_def_73,type,
member1632198138ion_pi: produc1462499409ion_pi > set_Pr1569510577ion_pi > $o ).
thf(func_def_74,type,
member1353687244i_name: produc405342261i_name > set_Pr1294453099i_name > $o ).
thf(func_def_75,type,
member772629402_pi_pi: produc629157763_pi_pi > set_Pr1694908217_pi_pi > $o ).
thf(func_def_76,type,
member2081207979reeRes: produc1834551554reeRes > set_Pr305743074reeRes > $o ).
thf(func_def_77,type,
member938018755ubject: produc691362330ubject > set_Pr248416762ubject > $o ).
thf(func_def_78,type,
member558706512_pi_pi: product_prod_pi_pi > set_Pr1834926343_pi_pi > $o ).
thf(func_def_79,type,
p: pi ).
thf(func_def_80,type,
p2: pi ).
thf(func_def_81,type,
pxQ: pi ).
thf(func_def_82,type,
q: pi ).
thf(func_def_83,type,
rel: set_Pr1834926343_pi_pi ).
thf(func_def_84,type,
alpha: late_freeRes ).
thf(func_def_85,type,
x: name ).
thf(func_def_89,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_90,type,
vAND: $o > $o > $o ).
thf(func_def_91,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_92,type,
vIMP: $o > $o > $o ).
thf(func_def_93,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_94,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_95,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_96,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_97,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_98,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_99,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_100,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_101,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_102,type,
vOR: $o > $o > $o ).
thf(func_def_103,type,
vNOT: $o > $o ).
thf(func_def_104,type,
sP0: late_subject > name > pi > pi > pi > $o ).
thf(func_def_105,type,
sK1: late_subject > ( pi > $o ) > pi > name > pi > pi ).
thf(func_def_106,type,
sK2: late_subject > ( pi > $o ) > pi > name > pi > pi ).
thf(func_def_107,type,
sK3: ( late_subject > late_residual > $o ) > late_freeRes ).
thf(func_def_108,type,
sK4: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_109,type,
sK5: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_110,type,
sK6: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_111,type,
sK7: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_112,type,
sK8: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_113,type,
sK9: ( late_subject > late_residual > $o ) > name ).
thf(func_def_114,type,
sK10: set_Pr1834926343_pi_pi > pi ).
thf(func_def_115,type,
sK11: pi > pi > late_freeRes > name > late_freeRes ).
thf(func_def_116,type,
sK12: pi > pi > late_freeRes > name > name ).
thf(func_def_117,type,
sK13: pi > pi > late_freeRes > name > pi ).
thf(func_def_118,type,
sK14: pi > pi > late_freeRes > name > pi ).
thf(func_def_119,type,
sK15: ( pi > $o ) > pi > name > late_freeRes > pi ).
thf(func_def_120,type,
sK16: ( late_subject > late_residual > $o ) > late_freeRes ).
thf(func_def_121,type,
sK17: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_122,type,
sK18: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_123,type,
sK19: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_124,type,
sK20: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_125,type,
sK21: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_126,type,
sK22: ( late_subject > late_residual > $o ) > name ).
thf(func_def_127,type,
sK23: ( pi > late_residual > $o ) > pi ).
thf(func_def_128,type,
sK24: ( pi > late_residual > $o ) > late_freeRes ).
thf(func_def_129,type,
sK25: ( pi > late_residual > $o ) > pi ).
thf(func_def_130,type,
sK26: ( pi > late_residual > $o ) > pi ).
thf(func_def_131,type,
sK27: ( pi > late_residual > $o ) > late_subject ).
thf(func_def_132,type,
sK28: ( pi > late_residual > $o ) > name ).
thf(func_def_133,type,
sK29: ( pi > late_residual > $o ) > pi ).
thf(func_def_134,type,
sK30: set_Pr1834926343_pi_pi > pi ).
thf(func_def_135,type,
sK31: set_Pr1834926343_pi_pi > name ).
thf(func_def_136,type,
sK32: set_Pr1834926343_pi_pi > pi ).
thf(func_def_137,type,
sK33: set_Pr1834926343_pi_pi > pi ).
thf(func_def_138,type,
sK34: set_Pr1834926343_pi_pi > pi ).
thf(func_def_139,type,
sK35: set_Pr1834926343_pi_pi > name ).
thf(func_def_140,type,
sK36: set_Pr1834926343_pi_pi > pi ).
thf(func_def_141,type,
sK37: set_Pr1834926343_pi_pi > pi ).
thf(func_def_142,type,
sK38: set_Pr1834926343_pi_pi > pi ).
thf(func_def_143,type,
sK39: set_Pr1834926343_pi_pi > name ).
thf(func_def_144,type,
sK40: set_Pr1834926343_pi_pi > pi ).
thf(func_def_145,type,
sK41: set_Pr1834926343_pi_pi > pi ).
thf(func_def_146,type,
sK42: set_Pr1834926343_pi_pi > pi ).
thf(func_def_147,type,
sK43: set_Pr1834926343_pi_pi > pi ).
thf(func_def_148,type,
sK44: set_Pr1834926343_pi_pi > pi ).
thf(func_def_149,type,
sK45: set_Pr1834926343_pi_pi > pi ).
thf(func_def_150,type,
sK46: set_Pr1834926343_pi_pi > pi ).
thf(func_def_151,type,
sK47: set_Pr1834926343_pi_pi > name ).
thf(func_def_152,type,
sK48: set_Pr1834926343_pi_pi > pi ).
thf(func_def_153,type,
sK49: set_Pr1834926343_pi_pi > pi ).
thf(func_def_154,type,
sK50: late_subject > name > pi > pi > pi > late_subject ).
thf(func_def_155,type,
sK51: late_subject > name > pi > pi > pi > pi ).
thf(func_def_156,type,
sK52: late_subject > name > pi > pi > pi > name ).
thf(func_def_157,type,
sK53: late_subject > name > pi > pi > pi > pi ).
thf(func_def_158,type,
sK54: late_subject > name > pi > pi > pi > pi ).
thf(func_def_159,type,
sK55: pi > pi > late_subject > pi > name > pi ).
thf(func_def_160,type,
sK56: pi > pi > late_subject > pi > name > late_subject ).
thf(func_def_161,type,
sK57: pi > pi > late_subject > pi > name > name ).
thf(func_def_162,type,
sK58: pi > pi > late_subject > pi > name > pi ).
thf(func_def_163,type,
sK59: pi > pi > late_subject > pi > name > pi ).
thf(func_def_164,type,
sK60: ( late_residual > $o ) > late_freeRes ).
thf(func_def_165,type,
sK61: ( late_residual > $o ) > pi ).
thf(func_def_166,type,
sK62: ( late_residual > $o ) > name ).
thf(func_def_167,type,
sK63: ( late_residual > $o ) > pi ).
thf(func_def_168,type,
sK64: ( late_residual > $o ) > late_subject ).
thf(func_def_169,type,
sK65: ( pi > late_residual > $o ) > pi ).
thf(func_def_170,type,
sK66: ( pi > late_residual > $o ) > pi ).
thf(func_def_171,type,
sK67: ( pi > late_residual > $o ) > late_subject ).
thf(func_def_172,type,
sK68: ( pi > late_residual > $o ) > name ).
thf(func_def_173,type,
sK69: ( pi > late_residual > $o ) > late_freeRes ).
thf(func_def_174,type,
sK70: ( pi > late_residual > $o ) > pi ).
thf(func_def_175,type,
sK71: ( pi > late_residual > $o ) > pi ).
thf(f1,axiom,
fresh_1641682979reeRes @ x @ alpha,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062x_A_092_060sharp_062_A_092_060alpha_062_092_060close_062) ).
thf(f2,axiom,
late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ alpha @ ( par @ p2 @ q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_A_092_060alpha_062_A_092_060prec_062_AP_H_A_092_060parallel_062_AQ_092_060close_062) ).
thf(f12,axiom,
! [X3: name,X0: pi,X1: late_freeRes,X2: pi] :
( ( late_transitions @ X0 @ ( late_FreeR @ X1 @ X2 ) )
=> ( ( fresh_1641682979reeRes @ X3 @ X1 )
=> ( late_transitions @ ( res @ X3 @ X0 ) @ ( late_FreeR @ X1 @ ( res @ X3 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_ResF) ).
thf(f317,conjecture,
late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ ( par @ p2 @ q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f318,negated_conjecture,
~ ( late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ ( par @ p2 @ q ) ) ) ),
inference(negated_conjecture,[status(cth)],[f317]) ).
thf(f399,plain,
! [X0: name,X1: pi,X2: late_freeRes,X3: pi] :
( ( late_transitions @ X1 @ ( late_FreeR @ X2 @ X3 ) )
=> ( ( fresh_1641682979reeRes @ X0 @ X2 )
=> ( late_transitions @ ( res @ X0 @ X1 ) @ ( late_FreeR @ X2 @ ( res @ X0 @ X3 ) ) ) ) ),
inference(rectify,[],[f12]) ).
thf(f400,plain,
! [X3: pi,X2: late_freeRes,X1: pi,X0: name] :
( ( $true
= ( late_transitions @ X1 @ ( late_FreeR @ X2 @ X3 ) ) )
=> ( ( ( fresh_1641682979reeRes @ X0 @ X2 )
= $true )
=> ( ( late_transitions @ ( res @ X0 @ X1 ) @ ( late_FreeR @ X2 @ ( res @ X0 @ X3 ) ) )
= $true ) ) ),
inference(fool_elimination,[],[f399]) ).
thf(f542,plain,
~ ( late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ ( par @ p2 @ q ) ) ) ),
inference(rectify,[],[f318]) ).
thf(f543,plain,
( ( late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ ( par @ p2 @ q ) ) ) )
!= $true ),
inference(fool_elimination,[],[f542]) ).
thf(f718,plain,
fresh_1641682979reeRes @ x @ alpha,
inference(rectify,[],[f1]) ).
thf(f719,plain,
( ( fresh_1641682979reeRes @ x @ alpha )
= $true ),
inference(fool_elimination,[],[f718]) ).
thf(f815,plain,
late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ alpha @ ( par @ p2 @ q ) ),
inference(rectify,[],[f2]) ).
thf(f816,plain,
( ( late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ alpha @ ( par @ p2 @ q ) ) )
= $true ),
inference(fool_elimination,[],[f815]) ).
thf(f831,plain,
( ( late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ ( par @ p2 @ q ) ) ) )
!= $true ),
inference(flattening,[],[f543]) ).
thf(f884,plain,
! [X3: pi,X2: late_freeRes,X1: pi,X0: name] :
( ( ( late_transitions @ ( res @ X0 @ X1 ) @ ( late_FreeR @ X2 @ ( res @ X0 @ X3 ) ) )
= $true )
| ( ( fresh_1641682979reeRes @ X0 @ X2 )
!= $true )
| ( $true
!= ( late_transitions @ X1 @ ( late_FreeR @ X2 @ X3 ) ) ) ),
inference(ennf_transformation,[],[f400]) ).
thf(f885,plain,
! [X3: pi,X1: pi,X0: name,X2: late_freeRes] :
( ( $true
!= ( late_transitions @ X1 @ ( late_FreeR @ X2 @ X3 ) ) )
| ( ( fresh_1641682979reeRes @ X0 @ X2 )
!= $true )
| ( ( late_transitions @ ( res @ X0 @ X1 ) @ ( late_FreeR @ X2 @ ( res @ X0 @ X3 ) ) )
= $true ) ),
inference(flattening,[],[f884]) ).
thf(f932,plain,
! [X0: pi,X1: pi,X2: name,X3: late_freeRes] :
( ( ( late_transitions @ X1 @ ( late_FreeR @ X3 @ X0 ) )
!= $true )
| ( ( fresh_1641682979reeRes @ X2 @ X3 )
!= $true )
| ( ( late_transitions @ ( res @ X2 @ X1 ) @ ( late_FreeR @ X3 @ ( res @ X2 @ X0 ) ) )
= $true ) ),
inference(rectify,[],[f885]) ).
thf(f990,plain,
( ( late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ alpha @ ( par @ p2 @ q ) ) )
= $true ),
inference(cnf_transformation,[],[f816]) ).
thf(f999,plain,
! [X2: name,X3: late_freeRes,X0: pi,X1: pi] :
( ( ( late_transitions @ ( res @ X2 @ X1 ) @ ( late_FreeR @ X3 @ ( res @ X2 @ X0 ) ) )
= $true )
| ( ( fresh_1641682979reeRes @ X2 @ X3 )
!= $true )
| ( ( late_transitions @ X1 @ ( late_FreeR @ X3 @ X0 ) )
!= $true ) ),
inference(cnf_transformation,[],[f932]) ).
thf(f1005,plain,
( ( late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ ( par @ p2 @ q ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f831]) ).
thf(f1041,plain,
( ( fresh_1641682979reeRes @ x @ alpha )
= $true ),
inference(cnf_transformation,[],[f719]) ).
thf(f1047,plain,
( ( $true != $true )
| ( ( fresh_1641682979reeRes @ x @ alpha )
!= $true )
| ( ( late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ alpha @ ( par @ p2 @ q ) ) )
!= $true ) ),
inference(superposition,[],[f1005,f999]) ).
thf(f1050,plain,
( ( ( late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ alpha @ ( par @ p2 @ q ) ) )
!= $true )
| ( ( fresh_1641682979reeRes @ x @ alpha )
!= $true ) ),
inference(trivial_inequality_removal,[],[f1047]) ).
thf(f1051,plain,
( ( fresh_1641682979reeRes @ x @ alpha )
!= $true ),
inference(forward_subsumption_resolution,[],[f1050,f990]) ).
thf(f1052,plain,
$false,
inference(forward_subsumption_resolution,[],[f1051,f1041]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP189^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.28 % Computer : n018.cluster.edu
% 0.11/0.28 % Model : x86_64 x86_64
% 0.11/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.28 % Memory : 8046.5625MB
% 0.11/0.28 % OS : Linux 6.8.0-71-generic
% 0.11/0.28 % CPULimit : 300
% 0.11/0.28 % WCLimit : 300
% 0.11/0.28 % DateTime : Tue Sep 29 20:11:42 UTC 2026
% 0.11/0.28 % CPUTime :
% 0.11/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.28/0.34 Running higher-order theorem proving
% 0.36/0.44 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.20/0.67 % (580356)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.20/0.67 % (580361)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3942054888:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.20/0.67 % (580363)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2893974939:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.20/0.67 % (580367)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.20/0.67 % (580367)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
% 1.20/0.67 % (580364)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=3944648649: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)
% 1.20/0.67 % (580362)lrs+10_16_si=on:nwc=1.5:random_seed=3762601994:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.20/0.67 % (580365)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3770094546:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.20/0.67 % (580363)Instruction limit reached!
% 1.20/0.67 % (580363)------------------------------
% 1.20/0.67 % (580363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.67 % (580363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.67 % (580363)CaDiCaL version: 2.1.3
% 1.20/0.67 % (580363)Termination reason: Instruction limit
% 1.20/0.67 % (580363)Termination phase: shuffling
% 1.20/0.67 % (580363)Time elapsed: 0.003 s
% 1.20/0.67 % (580363)Peak memory usage: 10 MB
% 1.20/0.67 % (580363)Instructions burned: 3 (million)
% 1.20/0.67 % (580366)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4072846547:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.20/0.67 % (580367)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=3217080011:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.20/0.67 % (580361)Instruction limit reached!
% 1.20/0.67 % (580361)------------------------------
% 1.20/0.67 % (580361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.67 % (580361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.67 % (580361)CaDiCaL version: 2.1.3
% 1.20/0.67 % (580361)Termination reason: Instruction limit
% 1.20/0.67 % (580361)Termination phase: Property scanning
% 1.20/0.67 % (580361)Time elapsed: 0.038 s
% 1.20/0.67 % (580361)Peak memory usage: 12 MB
% 1.20/0.67 % (580361)Instructions burned: 89 (million)
% 1.20/0.67 % (580362)Instruction limit reached!
% 1.20/0.67 % (580362)------------------------------
% 1.20/0.67 % (580362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.67 % (580362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.67 % (580362)CaDiCaL version: 2.1.3
% 1.20/0.67 % (580362)Termination reason: Instruction limit
% 1.20/0.67 % (580362)Termination phase: shuffling
% 1.20/0.67 % (580362)Time elapsed: 0.015 s
% 1.20/0.67 % (580362)Peak memory usage: 10 MB
% 1.20/0.67 % (580362)Instructions burned: 18 (million)
% 1.20/0.67 % (580365)Instruction limit reached!
% 1.20/0.67 % (580365)------------------------------
% 1.20/0.67 % (580365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.67 % (580365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.67 % (580365)CaDiCaL version: 2.1.3
% 1.20/0.67 % (580365)Termination reason: Instruction limit
% 1.20/0.67 % (580365)Termination phase: shuffling
% 1.20/0.67 % (580365)Time elapsed: 0.021 s
% 1.20/0.67 % (580365)Peak memory usage: 10 MB
% 1.20/0.67 % (580365)Instructions burned: 24 (million)
% 1.20/0.67 % (580376)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2039156877:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.20/0.67 % (580376)Instruction limit reached!
% 1.20/0.67 % (580376)------------------------------
% 1.20/0.67 % (580376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.67 % (580376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.72 % (580376)CaDiCaL version: 2.1.3
% 1.53/0.72 % (580376)Termination reason: Instruction limit
% 1.53/0.72 % (580376)Termination phase: shuffling
% 1.53/0.72 % (580376)Time elapsed: 0.003 s
% 1.53/0.72 % (580376)Peak memory usage: 10 MB
% 1.53/0.72 % (580376)Instructions burned: 7 (million)
% 1.53/0.72 % (580374)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=33041273:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.53/0.72 % (580374)Instruction limit reached!
% 1.53/0.72 % (580374)------------------------------
% 1.53/0.72 % (580374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.72 % (580374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.72 % (580374)CaDiCaL version: 2.1.3
% 1.53/0.72 % (580374)Termination reason: Instruction limit
% 1.53/0.72 % (580374)Termination phase: shuffling
% 1.53/0.72 % (580374)Time elapsed: 0.003 s
% 1.53/0.72 % (580374)Peak memory usage: 10 MB
% 1.53/0.72 % (580374)Instructions burned: 3 (million)
% 1.53/0.72 % (580377)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.53/0.72 % (580380)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
% 1.53/0.72 % (580380)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.53/0.72 % (580380)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3797297098:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.53/0.72 % (580377)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=271027932:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.53/0.72 % (580378)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1570061975:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 1.53/0.72 % (580377)Instruction limit reached!
% 1.53/0.72 % (580377)------------------------------
% 1.53/0.72 % (580377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.72 % (580377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.72 % (580377)CaDiCaL version: 2.1.3
% 1.53/0.72 % (580377)Termination reason: Instruction limit
% 1.53/0.72 % (580377)Termination phase: shuffling
% 1.53/0.72 % (580377)Time elapsed: 0.006 s
% 1.53/0.72 % (580377)Peak memory usage: 10 MB
% 1.53/0.72 % (580377)Instructions burned: 7 (million)
% 1.53/0.72 % (580380)Instruction limit reached!
% 1.53/0.72 % (580380)------------------------------
% 1.53/0.72 % (580380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.72 % (580380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.72 % (580380)CaDiCaL version: 2.1.3
% 1.53/0.72 % (580380)Termination reason: Instruction limit
% 1.53/0.72 % (580380)Termination phase: shuffling
% 1.53/0.72 % (580380)Time elapsed: 0.012 s
% 1.53/0.72 % (580380)Peak memory usage: 10 MB
% 1.53/0.72 % (580380)Instructions burned: 29 (million)
% 1.53/0.72 % (580366)Instruction limit reached!
% 1.53/0.72 % (580366)------------------------------
% 1.53/0.72 % (580366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.72 % (580366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.72 % (580366)CaDiCaL version: 2.1.3
% 1.53/0.72 % (580366)Termination reason: Instruction limit
% 1.53/0.72 % (580366)Termination phase: Preprocessing 3
% 1.53/0.72 % (580366)Time elapsed: 0.061 s
% 1.53/0.72 % (580366)Peak memory usage: 12 MB
% 1.53/0.72 % (580366)Instructions burned: 75 (million)
% 1.53/0.72 % (580378)Instruction limit reached!
% 1.53/0.72 % (580378)------------------------------
% 1.53/0.72 % (580378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.72 % (580378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.72 % (580378)CaDiCaL version: 2.1.3
% 1.53/0.72 % (580378)Termination reason: Instruction limit
% 1.53/0.72 % (580378)Termination phase: shuffling
% 1.53/0.72 % (580378)Time elapsed: 0.010 s
% 1.53/0.72 % (580378)Peak memory usage: 10 MB
% 1.53/0.72 % (580378)Instructions burned: 12 (million)
% 1.53/0.72 % (580382)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=1342203280:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.53/0.72 % (580387)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.53/0.72 % (580387)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=2031730:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.53/0.72 % (580387)Instruction limit reached!
% 1.53/0.72 % (580387)------------------------------
% 1.53/0.72 % (580387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.72 % (580387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.72 % (580387)CaDiCaL version: 2.1.3
% 1.53/0.72 % (580387)Termination reason: Instruction limit
% 1.53/0.72 % (580387)Termination phase: shuffling
% 1.53/0.72 % (580387)Time elapsed: 0.002 s
% 1.53/0.72 % (580387)Peak memory usage: 10 MB
% 1.53/0.72 % (580387)Instructions burned: 4 (million)
% 1.53/0.72 % (580386)lrs+10_1_si=on:cs=on:random_seed=2290531799:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.53/0.72 % (580388)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3006682004:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.53/0.72 % (580386)Instruction limit reached!
% 1.53/0.72 % (580386)------------------------------
% 1.53/0.72 % (580386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.72 % (580389)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1884522885:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.53/0.72 % (580386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.72 % (580386)CaDiCaL version: 2.1.3
% 1.53/0.72 % (580386)Termination reason: Instruction limit
% 1.53/0.72 % (580386)Termination phase: shuffling
% 1.53/0.72 % (580386)Time elapsed: 0.007 s
% 1.53/0.72 % (580386)Peak memory usage: 10 MB
% 1.53/0.72 % (580386)Instructions burned: 8 (million)
% 1.53/0.72 % (580392)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2264698122:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.53/0.72 % (580392)Instruction limit reached!
% 1.53/0.72 % (580392)------------------------------
% 1.53/0.72 % (580392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.72 % (580392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.72 % (580392)CaDiCaL version: 2.1.3
% 1.53/0.72 % (580392)Termination reason: Instruction limit
% 1.53/0.72 % (580392)Termination phase: shuffling
% 1.53/0.72 % (580392)Time elapsed: 0.010 s
% 1.53/0.72 % (580392)Peak memory usage: 10 MB
% 1.53/0.72 % (580392)Instructions burned: 26 (million)
% 1.53/0.72 % (580398)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1176231327:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.53/0.72 % (580388)Instruction limit reached!
% 1.53/0.72 % (580388)------------------------------
% 1.53/0.72 % (580388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.72 % (580388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.72 % (580388)CaDiCaL version: 2.1.3
% 1.53/0.72 % (580388)Termination reason: Instruction limit
% 1.53/0.72 % (580388)Termination phase: Property scanning
% 1.53/0.72 % (580388)Time elapsed: 0.032 s
% 1.53/0.72 % (580388)Peak memory usage: 10 MB
% 1.53/0.72 % (580388)Instructions burned: 38 (million)
% 1.53/0.72 % (580397)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3128587185:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.53/0.72 % (580367)Instruction limit reached!
% 1.53/0.72 % (580367)------------------------------
% 1.53/0.72 % (580367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.72 % (580367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.72 % (580367)CaDiCaL version: 2.1.3
% 1.53/0.72 % (580367)Termination reason: Instruction limit
% 1.53/0.72 % (580367)Termination phase: Property scanning
% 1.53/0.72 % (580367)Time elapsed: 0.130 s
% 1.53/0.72 % (580367)Peak memory usage: 12 MB
% 1.53/0.72 % (580367)Instructions burned: 157 (million)
% 1.53/0.72 % (580382)Instruction limit reached!
% 1.53/0.72 % (580382)------------------------------
% 1.53/0.72 % (580382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.72 % (580382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.72 % (580382)CaDiCaL version: 2.1.3
% 1.53/0.72 % (580382)Termination reason: Instruction limit
% 1.53/0.72 % (580382)Termination phase: Property scanning
% 1.53/0.72 % (580382)Time elapsed: 0.066 s
% 1.53/0.72 % (580382)Peak memory usage: 11 MB
% 1.53/0.72 % (580382)Instructions burned: 86 (million)
% 1.53/0.72 % (580397)Instruction limit reached!
% 1.53/0.72 % (580397)------------------------------
% 1.53/0.72 % (580397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.72 % (580397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.72 % (580397)CaDiCaL version: 2.1.3
% 1.53/0.72 % (580397)Termination reason: Instruction limit
% 1.53/0.72 % (580397)Termination phase: shuffling
% 1.53/0.72 % (580397)Time elapsed: 0.012 s
% 1.53/0.72 % (580397)Peak memory usage: 10 MB
% 1.53/0.72 % (580397)Instructions burned: 14 (million)
% 1.53/0.72 % (580401)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3308245087:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/14Mi)
% 1.53/0.72 % (580402)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3695527772:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 1.53/0.72 % (580402)Instruction limit reached!
% 1.53/0.72 % (580402)------------------------------
% 1.53/0.72 % (580402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.72 % (580402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.72 % (580402)CaDiCaL version: 2.1.3
% 1.53/0.72 % (580402)Termination reason: Instruction limit
% 1.53/0.72 % (580402)Termination phase: shuffling
% 1.53/0.72 % (580402)Time elapsed: 0.002 s
% 1.53/0.72 % (580402)Peak memory usage: 10 MB
% 1.53/0.72 % (580402)Instructions burned: 2 (million)
% 1.53/0.72 % (580389) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-580356-580389"...
% 1.53/0.72 % (580403)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2213609979:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 1.53/0.72 % (580404)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1703310073:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.53/0.72 % (580401)Instruction limit reached!
% 1.53/0.72 % (580401)------------------------------
% 1.53/0.72 % (580401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.72 % (580401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.72 % (580401)CaDiCaL version: 2.1.3
% 1.53/0.72 % (580401)Termination reason: Instruction limit
% 1.53/0.72 % (580401)Termination phase: shuffling
% 1.53/0.72 % (580401)Time elapsed: 0.012 s
% 1.53/0.72 % (580401)Peak memory usage: 10 MB
% 1.53/0.72 % (580401)Instructions burned: 14 (million)
% 1.53/0.72 % (580389)...printing done.
% 1.53/0.72 % (580389)Refutation found. Thanks to Tanya!
% 1.53/0.72 % SZS status Theorem for theBenchmark
% 1.53/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.73 % (580389)------------------------------
% 1.53/0.73 % (580389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.73 % (580389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.73 % (580389)CaDiCaL version: 2.1.3
% 1.53/0.73 % (580389)Termination reason: Refutation
% 1.53/0.73 % (580389)Time elapsed: 0.076 s
% 1.53/0.73 % (580389)Peak memory usage: 13 MB
% 1.53/0.73 % (580389)Instructions burned: 92 (million)
% 1.53/0.73 % (580356)Success in time 0.263 s
% 1.53/0.73 % Vampire exiting
%------------------------------------------------------------------------------