%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP047^1 : 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 08:08:06 AM UTC 2026
% Result : Theorem 1.08s 0.48s
% Output : Refutation 1.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 18 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 102 ( 7 ~; 3 |; 0 &; 90 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 36 ( 35 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 183 ( 181 usr; 27 con; 0-6 aty)
% Number of variables : 17 ( 0 ^; 17 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
produc1394974636_r_l_v: $tType ).
thf(type_def_6,type,
produc1489027110_r_l_v: $tType ).
thf(type_def_7,type,
option1457017436_r_l_v: $tType ).
thf(type_def_8,type,
produc1156025366_r_l_v: $tType ).
thf(type_def_9,type,
produc1164766533_r_l_v: $tType ).
thf(type_def_10,type,
set_op865065573um_r_l: $tType ).
thf(type_def_11,type,
set_op160472561um_l_r: $tType ).
thf(type_def_12,type,
set_op76482283um_l_l: $tType ).
thf(type_def_13,type,
set_option_set_r: $tType ).
thf(type_def_14,type,
set_option_set_l: $tType ).
thf(type_def_15,type,
option_val_r_l_v: $tType ).
thf(type_def_16,type,
set_Product_prod_r_r: $tType ).
thf(type_def_17,type,
set_Product_prod_r_l: $tType ).
thf(type_def_18,type,
set_Product_prod_l_r: $tType ).
thf(type_def_19,type,
set_Product_prod_l_l: $tType ).
thf(type_def_20,type,
set_Sum_sum_r_r: $tType ).
thf(type_def_21,type,
set_Sum_sum_r_l: $tType ).
thf(type_def_22,type,
set_Sum_sum_l_r: $tType ).
thf(type_def_23,type,
set_Sum_sum_l_l: $tType ).
thf(type_def_24,type,
set_option_r: $tType ).
thf(type_def_25,type,
set_option_l: $tType ).
thf(type_def_26,type,
cntxt_r_l_v: $tType ).
thf(type_def_27,type,
set_set_r: $tType ).
thf(type_def_28,type,
set_set_l: $tType ).
thf(type_def_29,type,
expr_r_l_v: $tType ).
thf(type_def_30,type,
sum_sum_r_l: $tType ).
thf(type_def_31,type,
sum_sum_l_r: $tType ).
thf(type_def_32,type,
sum_sum_l_l: $tType ).
thf(type_def_33,type,
val_r_l_v: $tType ).
thf(type_def_34,type,
set_r: $tType ).
thf(type_def_35,type,
set_l: $tType ).
thf(type_def_36,type,
const: $tType ).
thf(type_def_37,type,
v: $tType ).
thf(type_def_38,type,
r: $tType ).
thf(type_def_39,type,
l: $tType ).
thf(type_def_40,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
lID_expression_l_r_v: produc1156025366_r_l_v > expr_r_l_v ).
thf(func_def_1,type,
lID_lo1265057957_l_r_v: produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(func_def_2,type,
lID_snapshot_l_r_v: produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(func_def_3,type,
combine_l_val_r_l_v: ( l > option_val_r_l_v ) > ( l > option_val_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_4,type,
unit: const ).
thf(func_def_5,type,
ref_r_l_v: expr_r_l_v > expr_r_l_v ).
thf(func_def_6,type,
rfork_r_l_v: expr_r_l_v > expr_r_l_v ).
thf(func_def_7,type,
rjoin_r_l_v: expr_r_l_v > expr_r_l_v ).
thf(func_def_8,type,
vE_r_l_v: val_r_l_v > expr_r_l_v ).
thf(func_def_9,type,
plug_r_l_v: cntxt_r_l_v > expr_r_l_v > expr_r_l_v ).
thf(func_def_10,type,
cV_r_l_v: const > val_r_l_v ).
thf(func_def_11,type,
loc_l_r_v: l > val_r_l_v ).
thf(func_def_12,type,
rid_r_l_v: r > val_r_l_v ).
thf(func_def_13,type,
execution_r_l_v: ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > expr_r_l_v > ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_14,type,
induct1670415253_r_l_v: ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > ( ( r > option1457017436_r_l_v ) > $o ) > $o ).
thf(func_def_15,type,
reachable_r_l_v: ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_16,type,
finite160708696_set_l: set_option_set_l > $o ).
thf(func_def_17,type,
finite555643486_set_r: set_option_set_r > $o ).
thf(func_def_18,type,
finite1864485196um_l_l: set_op76482283um_l_l > $o ).
thf(func_def_19,type,
finite111936338um_l_r: set_op160472561um_l_r > $o ).
thf(func_def_20,type,
finite1036466630um_r_l: set_op865065573um_r_l > $o ).
thf(func_def_21,type,
finite2114249848tion_l: set_option_l > $o ).
thf(func_def_22,type,
finite16335230tion_r: set_option_r > $o ).
thf(func_def_23,type,
finite785973648od_l_l: set_Product_prod_l_l > $o ).
thf(func_def_24,type,
finite835542678od_l_r: set_Product_prod_l_r > $o ).
thf(func_def_25,type,
finite1457622794od_r_l: set_Product_prod_r_l > $o ).
thf(func_def_26,type,
finite1507191824od_r_r: set_Product_prod_r_r > $o ).
thf(func_def_27,type,
finite_finite_set_l: set_set_l > $o ).
thf(func_def_28,type,
finite_finite_set_r: set_set_r > $o ).
thf(func_def_29,type,
finite1541484284um_l_l: set_Sum_sum_l_l > $o ).
thf(func_def_30,type,
finite1591053314um_l_r: set_Sum_sum_l_r > $o ).
thf(func_def_31,type,
finite65649782um_r_l: set_Sum_sum_r_l > $o ).
thf(func_def_32,type,
finite115218812um_r_r: set_Sum_sum_r_r > $o ).
thf(func_def_33,type,
finite_finite_l: set_l > $o ).
thf(func_def_34,type,
finite_finite_r: set_r > $o ).
thf(func_def_35,type,
bij_betw_l_l: ( l > l ) > set_l > set_l > $o ).
thf(func_def_36,type,
bij_betw_l_r: ( l > r ) > set_l > set_r > $o ).
thf(func_def_37,type,
bij_betw_r_l: ( r > l ) > set_r > set_l > $o ).
thf(func_def_38,type,
bij_betw_r_r: ( r > r ) > set_r > set_r > $o ).
thf(func_def_39,type,
fun_up1835647912_r_l_v: ( l > option_val_r_l_v ) > l > option_val_r_l_v > l > option_val_r_l_v ).
thf(func_def_40,type,
fun_up709272714_r_l_v: ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v > r > option1457017436_r_l_v ).
thf(func_def_41,type,
if_option_val_r_l_v: $o > option_val_r_l_v > option_val_r_l_v > option_val_r_l_v ).
thf(func_def_42,type,
if_opt1153928738_r_l_v: $o > option1457017436_r_l_v > option1457017436_r_l_v > option1457017436_r_l_v ).
thf(func_def_43,type,
lID_G_r_l_v: ( r > option1457017436_r_l_v ) > set_l ).
thf(func_def_44,type,
lID_L_l_r_v: produc1156025366_r_l_v > set_l ).
thf(func_def_45,type,
rID_G_r_l_v: ( r > option1457017436_r_l_v ) > set_r ).
thf(func_def_46,type,
rID_L_l_r_v: produc1156025366_r_l_v > set_r ).
thf(func_def_47,type,
domain87684397_l_r_v: produc1156025366_r_l_v > $o ).
thf(func_def_48,type,
domain1547879849_r_l_v: ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_49,type,
revision_step_r_l_v: ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_50,type,
revisi1291188644_r_l_v: ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_51,type,
subsum148050133_r_l_v: r > r > ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_52,type,
subsum680764357_r_l_v: ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_53,type,
none_val_r_l_v: option_val_r_l_v ).
thf(func_def_54,type,
none_P277133687_r_l_v: option1457017436_r_l_v ).
thf(func_def_55,type,
some_val_r_l_v: val_r_l_v > option_val_r_l_v ).
thf(func_def_56,type,
some_P1807977723_r_l_v: produc1156025366_r_l_v > option1457017436_r_l_v ).
thf(func_def_57,type,
ord_less_eq_set_l: set_l > set_l > $o ).
thf(func_def_58,type,
ord_less_eq_set_r: set_r > set_r > $o ).
thf(func_def_59,type,
top_to471808607_set_l: set_option_set_l ).
thf(func_def_60,type,
top_to555798885_set_r: set_option_set_r ).
thf(func_def_61,type,
top_to1066565019um_l_l: set_op76482283um_l_l ).
thf(func_def_62,type,
top_to1150555297um_l_r: set_op160472561um_l_r ).
thf(func_def_63,type,
top_to1855148309um_r_l: set_op865065573um_r_l ).
thf(func_def_64,type,
top_top_set_option_l: set_option_l ).
thf(func_def_65,type,
top_top_set_option_r: set_option_r ).
thf(func_def_66,type,
top_to320296343od_l_l: set_Product_prod_l_l ).
thf(func_def_67,type,
top_to715231133od_l_r: set_Product_prod_l_r ).
thf(func_def_68,type,
top_to1639761425od_r_l: set_Product_prod_r_l ).
thf(func_def_69,type,
top_to2034696215od_r_r: set_Product_prod_r_r ).
thf(func_def_70,type,
top_top_set_set_l: set_set_l ).
thf(func_def_71,type,
top_top_set_set_r: set_set_r ).
thf(func_def_72,type,
top_to1010946379um_l_l: set_Sum_sum_l_l ).
thf(func_def_73,type,
top_to1405881169um_l_r: set_Sum_sum_l_r ).
thf(func_def_74,type,
top_to182927813um_r_l: set_Sum_sum_r_l ).
thf(func_def_75,type,
top_to577862603um_r_r: set_Sum_sum_r_r ).
thf(func_def_76,type,
top_top_set_l: set_l ).
thf(func_def_77,type,
top_top_set_r: set_r ).
thf(func_def_78,type,
produc1834103605_r_l_v: ( l > option_val_r_l_v ) > expr_r_l_v > produc1164766533_r_l_v ).
thf(func_def_79,type,
produc297528454_r_l_v: ( l > option_val_r_l_v ) > produc1164766533_r_l_v > produc1156025366_r_l_v ).
thf(func_def_80,type,
produc2057232216_r_l_v: ( l > l ) > produc1156025366_r_l_v > produc1489027110_r_l_v ).
thf(func_def_81,type,
produc2111504612_r_l_v: ( r > r ) > produc1489027110_r_l_v > produc1394974636_r_l_v ).
thf(func_def_82,type,
r_G_r_l_v: ( r > r ) > ( l > l ) > ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_83,type,
r_L_r_l_v: ( r > r ) > ( l > l ) > produc1156025366_r_l_v > produc1156025366_r_l_v ).
thf(func_def_84,type,
eq_states_r_l_v: ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_85,type,
is_glo1871033385_r_l_v: ( r > r ) > ( l > l ) > ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_86,type,
collect_set_l: ( set_l > $o ) > set_set_l ).
thf(func_def_87,type,
collect_set_r: ( set_r > $o ) > set_set_r ).
thf(func_def_88,type,
collect_Sum_sum_l_l: ( sum_sum_l_l > $o ) > set_Sum_sum_l_l ).
thf(func_def_89,type,
collect_Sum_sum_l_r: ( sum_sum_l_r > $o ) > set_Sum_sum_l_r ).
thf(func_def_90,type,
collect_Sum_sum_r_l: ( sum_sum_r_l > $o ) > set_Sum_sum_r_l ).
thf(func_def_91,type,
collect_l: ( l > $o ) > set_l ).
thf(func_def_92,type,
collect_r: ( r > $o ) > set_r ).
thf(func_def_93,type,
substitution_r_l_v: ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > $o ).
thf(func_def_94,type,
member_set_l: set_l > set_set_l > $o ).
thf(func_def_95,type,
member_set_r: set_r > set_set_r > $o ).
thf(func_def_96,type,
member_l: l > set_l > $o ).
thf(func_def_97,type,
member_r: r > set_r > $o ).
thf(func_def_98,type,
e: cntxt_r_l_v ).
thf(func_def_99,type,
alpha: r > r ).
thf(func_def_100,type,
beta: l > l ).
thf(func_def_101,type,
sigma: l > option_val_r_l_v ).
thf(func_def_102,type,
tau: l > option_val_r_l_v ).
thf(func_def_103,type,
e2: expr_r_l_v ).
thf(func_def_104,type,
r2: r ).
thf(func_def_105,type,
r3: r ).
thf(func_def_106,type,
s: r > option1457017436_r_l_v ).
thf(func_def_107,type,
s2: r > option1457017436_r_l_v ).
thf(func_def_108,type,
subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v ).
thf(func_def_112,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_113,type,
vIMP: $o > $o > $o ).
thf(func_def_114,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_115,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_116,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_117,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_118,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_119,type,
vAND: $o > $o > $o ).
thf(func_def_120,type,
vNOT: $o > $o ).
thf(func_def_121,type,
vOR: $o > $o > $o ).
thf(func_def_122,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_123,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_124,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_125,type,
sP0: ( option1457017436_r_l_v > option1457017436_r_l_v > $o ) > option1457017436_r_l_v > option1457017436_r_l_v > $o ).
thf(func_def_126,type,
sK1: ( r > option1457017436_r_l_v ) > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > r > ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_127,type,
sK2: ( r > option1457017436_r_l_v ) > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > r > ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_128,type,
sK3: ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > r > r > r > option1457017436_r_l_v ).
thf(func_def_129,type,
sK4: ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > r > r > r > option1457017436_r_l_v ).
thf(func_def_130,type,
sK5: ( produc1156025366_r_l_v > $o ) > produc1164766533_r_l_v ).
thf(func_def_131,type,
sK6: ( produc1156025366_r_l_v > $o ) > l > option_val_r_l_v ).
thf(func_def_132,type,
sK7: produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(func_def_133,type,
sK8: produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(func_def_134,type,
sK9: produc1156025366_r_l_v > expr_r_l_v ).
thf(func_def_135,type,
sK10: ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > r > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_136,type,
sK11: ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > r > ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_137,type,
sK12: r > ( r > option1457017436_r_l_v ) > cntxt_r_l_v ).
thf(func_def_138,type,
sK13: r > ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_139,type,
sK14: r > ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_140,type,
sK15: r > ( r > option1457017436_r_l_v ) > expr_r_l_v ).
thf(func_def_141,type,
sK16: option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(func_def_142,type,
sK17: ( produc1156025366_r_l_v > $o ) > l > option_val_r_l_v ).
thf(func_def_143,type,
sK18: ( produc1156025366_r_l_v > $o ) > l > option_val_r_l_v ).
thf(func_def_144,type,
sK19: ( produc1156025366_r_l_v > $o ) > expr_r_l_v ).
thf(func_def_145,type,
sK20: ( produc1156025366_r_l_v > $o ) > expr_r_l_v ).
thf(func_def_146,type,
sK21: ( produc1156025366_r_l_v > $o ) > l > option_val_r_l_v ).
thf(func_def_147,type,
sK22: ( produc1156025366_r_l_v > $o ) > l > option_val_r_l_v ).
thf(func_def_148,type,
sK23: ( r > option1457017436_r_l_v ) > r > r > ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_149,type,
sK24: ( r > option1457017436_r_l_v ) > r > r > ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v ).
thf(func_def_150,type,
sK25: ( option1457017436_r_l_v > option1457017436_r_l_v > $o ) > option1457017436_r_l_v > option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(func_def_151,type,
sK26: ( option1457017436_r_l_v > option1457017436_r_l_v > $o ) > option1457017436_r_l_v > option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(func_def_152,type,
sK27: ( produc1164766533_r_l_v > $o ) > expr_r_l_v ).
thf(func_def_153,type,
sK28: ( produc1164766533_r_l_v > $o ) > l > option_val_r_l_v ).
thf(func_def_154,type,
sK29: produc1164766533_r_l_v > expr_r_l_v ).
thf(func_def_155,type,
sK30: produc1164766533_r_l_v > l > option_val_r_l_v ).
thf(func_def_156,type,
sK31: r > ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_157,type,
sK32: r > ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_158,type,
sK33: produc1156025366_r_l_v > expr_r_l_v ).
thf(func_def_159,type,
sK34: produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(func_def_160,type,
sK35: produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(func_def_161,type,
sK36: produc1164766533_r_l_v > l > option_val_r_l_v ).
thf(func_def_162,type,
sK37: produc1164766533_r_l_v > expr_r_l_v ).
thf(func_def_163,type,
sK38: r > ( r > option1457017436_r_l_v ) > expr_r_l_v ).
thf(func_def_164,type,
sK39: r > ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_165,type,
sK40: r > ( r > option1457017436_r_l_v ) > cntxt_r_l_v ).
thf(func_def_166,type,
sK41: r > ( r > option1457017436_r_l_v ) > l > option_val_r_l_v ).
thf(func_def_167,type,
sK42: ( ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o ) > r > r ).
thf(func_def_168,type,
sK43: ( ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o ) > l > option_val_r_l_v ).
thf(func_def_169,type,
sK44: ( ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o ) > expr_r_l_v ).
thf(func_def_170,type,
sK45: ( ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o ) > l > l ).
thf(func_def_171,type,
sK46: ( ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o ) > l > option_val_r_l_v ).
thf(func_def_172,type,
sK47: ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_173,type,
sK48: ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > ( r > option1457017436_r_l_v ) > r > ( r > option1457017436_r_l_v ) > r > r > option1457017436_r_l_v ).
thf(func_def_174,type,
sK49: ( option1457017436_r_l_v > $o ) > produc1156025366_r_l_v ).
thf(func_def_175,type,
sK50: ( produc1164766533_r_l_v > $o ) > l > option_val_r_l_v ).
thf(func_def_176,type,
sK51: ( produc1164766533_r_l_v > $o ) > expr_r_l_v ).
thf(func_def_177,type,
sK52: produc1156025366_r_l_v > produc1164766533_r_l_v ).
thf(func_def_178,type,
sK53: produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(func_def_179,type,
sK54: ( produc1156025366_r_l_v > $o ) > l > option_val_r_l_v ).
thf(func_def_180,type,
sK55: ( produc1156025366_r_l_v > $o ) > produc1164766533_r_l_v ).
thf(func_def_181,type,
sK56: produc1156025366_r_l_v > produc1164766533_r_l_v ).
thf(func_def_182,type,
sK57: produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(f1,axiom,
( ( s @ r2 )
= ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_local_Ofork_I2_J) ).
thf(f54,axiom,
! [X1: r,X2: option1457017436_r_l_v,X0: r > option1457017436_r_l_v] :
( ( ( X0 @ X1 )
= X2 )
=> ( ( fun_up709272714_r_l_v @ X0 @ X1 @ X2 )
= X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_fun__upd__idem) ).
thf(f358,conjecture,
( s
= ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f359,negated_conjecture,
( s
!= ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f358]) ).
thf(f895,plain,
( s
!= ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ) ),
inference(flattening,[],[f359]) ).
thf(f926,plain,
! [X1: option1457017436_r_l_v,X2: r > option1457017436_r_l_v,X0: r] :
( ( ( X2 @ X0 )
= X1 )
=> ( ( fun_up709272714_r_l_v @ X2 @ X0 @ X1 )
= X2 ) ),
inference(rectify,[],[f54]) ).
thf(f987,plain,
! [X1: option1457017436_r_l_v,X2: r > option1457017436_r_l_v,X0: r] :
( ( ( fun_up709272714_r_l_v @ X2 @ X0 @ X1 )
= X2 )
| ( ( X2 @ X0 )
!= X1 ) ),
inference(ennf_transformation,[],[f926]) ).
thf(f1046,plain,
! [X0: option1457017436_r_l_v,X1: r > option1457017436_r_l_v,X2: r] :
( ( ( fun_up709272714_r_l_v @ X1 @ X2 @ X0 )
= X1 )
| ( ( X1 @ X2 )
!= X0 ) ),
inference(rectify,[],[f987]) ).
thf(f1082,plain,
( ( s @ r2 )
= ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f1]) ).
thf(f1121,plain,
( s
!= ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f895]) ).
thf(f1130,plain,
! [X2: r,X0: option1457017436_r_l_v,X1: r > option1457017436_r_l_v] :
( ( ( fun_up709272714_r_l_v @ X1 @ X2 @ X0 )
= X1 )
| ( ( X1 @ X2 )
!= X0 ) ),
inference(cnf_transformation,[],[f1046]) ).
thf(f1179,plain,
! [X2: r,X1: r > option1457017436_r_l_v] :
( ( fun_up709272714_r_l_v @ X1 @ X2 @ ( X1 @ X2 ) )
= X1 ),
inference(equality_resolution,[],[f1130]) ).
thf(f1185,plain,
( s
!= ( fun_up709272714_r_l_v @ s @ r2 @ ( s @ r2 ) ) ),
inference(forward_demodulation,[],[f1121,f1082]) ).
thf(f1186,plain,
$false,
inference(forward_subsumption_resolution,[],[f1185,f1179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP047^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.17 % Computer : n018.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Tue Sep 29 19:44:11 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.20 Running higher-order theorem proving
% 0.11/0.28 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.29/0.43 % (553363)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.29/0.43 % (553387)lrs+10_16_si=on:nwc=1.5:random_seed=1416147786:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.29/0.43 % (553393)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.29/0.43 % (553393)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
% 0.29/0.43 % (553387)Instruction limit reached!
% 0.29/0.43 % (553387)------------------------------
% 0.29/0.43 % (553387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.43 % (553387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.43 % (553387)CaDiCaL version: 2.1.3
% 0.29/0.43 % (553387)Termination reason: Instruction limit
% 0.29/0.43 % (553387)Termination phase: shuffling
% 0.29/0.43 % (553387)Time elapsed: 0.005 s
% 0.29/0.43 % (553387)Peak memory usage: 10 MB
% 0.29/0.43 % (553387)Instructions burned: 21 (million)
% 0.29/0.43 % (553386)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3106585189:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.29/0.43 % (553389)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=651895363:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.29/0.43 % (553391)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=26472564:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.29/0.43 % (553390)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=392757719: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)
% 0.29/0.43 % (553393)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=1363820035:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.29/0.43 % (553392)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=918077321:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.29/0.43 % (553389)Instruction limit reached!
% 0.29/0.43 % (553389)------------------------------
% 0.29/0.43 % (553389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.43 % (553389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.43 % (553389)CaDiCaL version: 2.1.3
% 0.29/0.43 % (553389)Termination reason: Instruction limit
% 0.29/0.43 % (553389)Termination phase: shuffling
% 0.29/0.43 % (553389)Time elapsed: 0.003 s
% 0.29/0.43 % (553389)Peak memory usage: 10 MB
% 0.29/0.43 % (553389)Instructions burned: 5 (million)
% 0.29/0.43 % (553404)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2883593036:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.29/0.43 % (553404)Instruction limit reached!
% 0.29/0.43 % (553404)------------------------------
% 0.29/0.43 % (553404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.43 % (553404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.43 % (553404)CaDiCaL version: 2.1.3
% 0.29/0.43 % (553404)Termination reason: Instruction limit
% 0.29/0.43 % (553404)Termination phase: shuffling
% 0.29/0.43 % (553404)Time elapsed: 0.001 s
% 0.29/0.43 % (553404)Peak memory usage: 10 MB
% 0.29/0.43 % (553404)Instructions burned: 4 (million)
% 0.29/0.43 % (553391)Instruction limit reached!
% 0.29/0.43 % (553391)------------------------------
% 0.29/0.43 % (553391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.43 % (553391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.43 % (553391)CaDiCaL version: 2.1.3
% 0.29/0.43 % (553391)Termination reason: Instruction limit
% 0.29/0.43 % (553391)Termination phase: shuffling
% 0.29/0.43 % (553391)Time elapsed: 0.011 s
% 0.29/0.43 % (553391)Peak memory usage: 10 MB
% 0.29/0.43 % (553391)Instructions burned: 25 (million)
% 0.29/0.43 % (553417)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.29/0.43 % (553417)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3187463191:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.08/0.47 % (553417)Instruction limit reached!
% 1.08/0.47 % (553417)------------------------------
% 1.08/0.47 % (553417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.47 % (553417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.47 % (553417)CaDiCaL version: 2.1.3
% 1.08/0.47 % (553417)Termination reason: Instruction limit
% 1.08/0.47 % (553417)Termination phase: shuffling
% 1.08/0.47 % (553417)Time elapsed: 0.002 s
% 1.08/0.47 % (553417)Peak memory usage: 10 MB
% 1.08/0.47 % (553417)Instructions burned: 8 (million)
% 1.08/0.47 % (553415)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2885510137:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.08/0.47 % (553415)Instruction limit reached!
% 1.08/0.47 % (553415)------------------------------
% 1.08/0.47 % (553415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.47 % (553415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.47 % (553415)CaDiCaL version: 2.1.3
% 1.08/0.47 % (553415)Termination reason: Instruction limit
% 1.08/0.47 % (553415)Termination phase: shuffling
% 1.08/0.47 % (553415)Time elapsed: 0.003 s
% 1.08/0.47 % (553415)Peak memory usage: 10 MB
% 1.08/0.47 % (553415)Instructions burned: 6 (million)
% 1.08/0.47 % (553423)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
% 1.08/0.47 % (553423)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.08/0.47 % (553418)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=111590730:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.08/0.47 % (553423)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3188432432:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.08/0.47 % (553392)Instruction limit reached!
% 1.08/0.47 % (553392)------------------------------
% 1.08/0.47 % (553392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.47 % (553392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.47 % (553392)CaDiCaL version: 2.1.3
% 1.08/0.47 % (553392)Termination reason: Instruction limit
% 1.08/0.47 % (553392)Termination phase: SInE selection
% 1.08/0.47 % (553392)Time elapsed: 0.034 s
% 1.08/0.47 % (553392)Peak memory usage: 11 MB
% 1.08/0.47 % (553392)Instructions burned: 75 (million)
% 1.08/0.47 % (553418)Instruction limit reached!
% 1.08/0.47 % (553418)------------------------------
% 1.08/0.47 % (553418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.47 % (553418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.47 % (553418)CaDiCaL version: 2.1.3
% 1.08/0.47 % (553418)Termination reason: Instruction limit
% 1.08/0.47 % (553418)Termination phase: shuffling
% 1.08/0.47 % (553418)Time elapsed: 0.006 s
% 1.08/0.47 % (553418)Peak memory usage: 10 MB
% 1.08/0.47 % (553418)Instructions burned: 13 (million)
% 1.08/0.47 % (553423)Instruction limit reached!
% 1.08/0.47 % (553423)------------------------------
% 1.08/0.47 % (553423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.47 % (553423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.47 % (553423)CaDiCaL version: 2.1.3
% 1.08/0.47 % (553423)Termination reason: Instruction limit
% 1.08/0.47 % (553423)Termination phase: shuffling
% 1.08/0.47 % (553423)Time elapsed: 0.007 s
% 1.08/0.47 % (553423)Peak memory usage: 11 MB
% 1.08/0.47 % (553423)Instructions burned: 31 (million)
% 1.08/0.47 % (553386)Instruction limit reached!
% 1.08/0.47 % (553386)------------------------------
% 1.08/0.47 % (553386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.47 % (553386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.47 % (553386)CaDiCaL version: 2.1.3
% 1.08/0.47 % (553386)Termination reason: Instruction limit
% 1.08/0.47 % (553386)Termination phase: Preprocessing 3
% 1.08/0.47 % (553386)Time elapsed: 0.041 s
% 1.08/0.47 % (553386)Peak memory usage: 12 MB
% 1.08/0.47 % (553386)Instructions burned: 88 (million)
% 1.08/0.48 % (553427)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=4225727671:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.08/0.48 % (553435)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1666279096:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.08/0.48 % (553432)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.08/0.48 % (553431)lrs+10_1_si=on:cs=on:random_seed=2073185015:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.08/0.48 % (553432)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=3487432631:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.08/0.48 % (553431)Instruction limit reached!
% 1.08/0.48 % (553431)------------------------------
% 1.08/0.48 % (553431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.48 % (553431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.48 % (553431)CaDiCaL version: 2.1.3
% 1.08/0.48 % (553431)Termination reason: Instruction limit
% 1.08/0.48 % (553431)Termination phase: shuffling
% 1.08/0.48 % (553431)Time elapsed: 0.004 s
% 1.08/0.48 % (553431)Peak memory usage: 10 MB
% 1.08/0.48 % (553431)Instructions burned: 8 (million)
% 1.08/0.48 % (553432)Instruction limit reached!
% 1.08/0.48 % (553432)------------------------------
% 1.08/0.48 % (553432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.48 % (553432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.48 % (553432)CaDiCaL version: 2.1.3
% 1.08/0.48 % (553432)Termination reason: Instruction limit
% 1.08/0.48 % (553432)Termination phase: shuffling
% 1.08/0.48 % (553432)Time elapsed: 0.002 s
% 1.08/0.48 % (553432)Peak memory usage: 10 MB
% 1.08/0.48 % (553432)Instructions burned: 3 (million)
% 1.08/0.48 % (553436)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=409838335:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.08/0.48 % (553435)Instruction limit reached!
% 1.08/0.48 % (553435)------------------------------
% 1.08/0.48 % (553435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.48 % (553435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.48 % (553435)CaDiCaL version: 2.1.3
% 1.08/0.48 % (553435)Termination reason: Instruction limit
% 1.08/0.48 % (553435)Termination phase: shuffling
% 1.08/0.48 % (553435)Time elapsed: 0.010 s
% 1.08/0.48 % (553435)Peak memory usage: 11 MB
% 1.08/0.48 % (553435)Instructions burned: 41 (million)
% 1.08/0.48 % (553451)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=85454835:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.08/0.48 % (553393)Instruction limit reached!
% 1.08/0.48 % (553393)------------------------------
% 1.08/0.48 % (553393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.48 % (553393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.48 % (553393)CaDiCaL version: 2.1.3
% 1.08/0.48 % (553393)Termination reason: Instruction limit
% 1.08/0.48 % (553393)Termination phase: Property scanning
% 1.08/0.48 % (553393)Time elapsed: 0.071 s
% 1.08/0.48 % (553393)Peak memory usage: 13 MB
% 1.08/0.48 % (553393)Instructions burned: 157 (million)
% 1.08/0.48 % (553447)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1034412283:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.08/0.48 % (553448)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3301370817:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.08/0.48 % (553448)Instruction limit reached!
% 1.08/0.48 % (553448)------------------------------
% 1.08/0.48 % (553448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.48 % (553448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.48 % (553448)CaDiCaL version: 2.1.3
% 1.08/0.48 % (553448)Termination reason: Instruction limit
% 1.08/0.48 % (553448)Termination phase: shuffling
% 1.08/0.48 % (553448)Time elapsed: 0.007 s
% 1.08/0.48 % (553448)Peak memory usage: 10 MB
% 1.08/0.48 % (553448)Instructions burned: 14 (million)
% 1.08/0.48 % (553427)Instruction limit reached!
% 1.08/0.48 % (553427)------------------------------
% 1.08/0.48 % (553427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.48 % (553427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.48 % (553427)CaDiCaL version: 2.1.3
% 1.08/0.48 % (553427)Termination reason: Instruction limit
% 1.08/0.48 % (553427)Termination phase: Property scanning
% 1.08/0.48 % (553427)Time elapsed: 0.039 s
% 1.08/0.48 % (553427)Peak memory usage: 11 MB
% 1.08/0.48 % (553427)Instructions burned: 90 (million)
% 1.08/0.48 % (553447)Instruction limit reached!
% 1.08/0.48 % (553447)------------------------------
% 1.08/0.48 % (553447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.48 % (553447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.48 % (553447)CaDiCaL version: 2.1.3
% 1.08/0.48 % (553447)Termination reason: Instruction limit
% 1.08/0.48 % (553447)Termination phase: shuffling
% 1.08/0.48 % (553447)Time elapsed: 0.011 s
% 1.08/0.48 % (553447)Peak memory usage: 10 MB
% 1.08/0.48 % (553447)Instructions burned: 26 (million)
% 1.08/0.48 % (553458)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4012262619:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.08/0.48 % (553458)Instruction limit reached!
% 1.08/0.48 % (553458)------------------------------
% 1.08/0.48 % (553458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.48 % (553458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.48 % (553458)CaDiCaL version: 2.1.3
% 1.08/0.48 % (553458)Termination reason: Instruction limit
% 1.08/0.48 % (553458)Termination phase: shuffling
% 1.08/0.48 % (553458)Time elapsed: 0.007 s
% 1.08/0.48 % (553458)Peak memory usage: 10 MB
% 1.08/0.48 % (553458)Instructions burned: 14 (million)
% 1.08/0.48 % (553465)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3126006810:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.08/0.48 % (553466)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2146471179:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.08/0.48 % (553465)Instruction limit reached!
% 1.08/0.48 % (553465)------------------------------
% 1.08/0.48 % (553465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.48 % (553465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.48 % (553465)CaDiCaL version: 2.1.3
% 1.08/0.48 % (553465)Termination reason: Instruction limit
% 1.08/0.48 % (553465)Termination phase: shuffling
% 1.08/0.48 % (553465)Time elapsed: 0.002 s
% 1.08/0.48 % (553465)Peak memory usage: 10 MB
% 1.08/0.48 % (553465)Instructions burned: 2 (million)
% 1.08/0.48 % (553470)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1167945344:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.08/0.48 % (553472)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4027282564:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.08/0.48 % (553466)Instruction limit reached!
% 1.08/0.48 % (553466)------------------------------
% 1.08/0.48 % (553466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.48 % (553466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.48 % (553466)CaDiCaL version: 2.1.3
% 1.08/0.48 % (553466)Termination reason: Instruction limit
% 1.08/0.48 % (553466)Termination phase: shuffling
% 1.08/0.48 % (553466)Time elapsed: 0.013 s
% 1.08/0.48 % (553466)Peak memory usage: 11 MB
% 1.08/0.48 % (553466)Instructions burned: 27 (million)
% 1.08/0.48 % (553436) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-553363-553436"...
% 1.08/0.48 % (553476)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.08/0.48 % (553476)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.08/0.48 % (553470)Instruction limit reached!
% 1.08/0.48 % (553470)------------------------------
% 1.08/0.48 % (553470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.48 % (553470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.48 % (553470)CaDiCaL version: 2.1.3
% 1.08/0.48 % (553470)Termination reason: Instruction limit
% 1.08/0.48 % (553470)Termination phase: shuffling
% 1.08/0.48 % (553470)Time elapsed: 0.011 s
% 1.08/0.48 % (553470)Peak memory usage: 10 MB
% 1.08/0.48 % (553470)Instructions burned: 24 (million)
% 1.08/0.48 % (553436)...printing done.
% 1.08/0.48 % (553476)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=3853325206:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.08/0.48 % (553436)Refutation found. Thanks to Tanya!
% 1.08/0.48 % SZS status Theorem for theBenchmark
% 1.08/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 1.08/0.48 % (553436)------------------------------
% 1.08/0.48 % (553436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.48 % (553436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.48 % (553436)CaDiCaL version: 2.1.3
% 1.08/0.48 % (553436)Termination reason: Refutation
% 1.08/0.48 % (553436)Time elapsed: 0.063 s
% 1.08/0.48 % (553436)Peak memory usage: 14 MB
% 1.08/0.48 % (553436)Instructions burned: 135 (million)
% 1.08/0.48 % (553363)Success in time 0.191 s
% 1.08/0.48 % Vampire exiting
%------------------------------------------------------------------------------