%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP045^1 : 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 : n009.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 1.35s 0.58s
% Output : Refutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 27 ( 26 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 549 ( 14 ~; 5 |; 0 &; 528 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 27 ( 26 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 151 ( 149 usr; 22 con; 0-4 aty)
% Number of variables : 43 ( 18 ^; 25 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_se888453765_r_l_v: $tType ).
thf(type_def_6,type,
set_Pr1409704485_r_l_v: $tType ).
thf(type_def_7,type,
produc1389397445_r_l_v: $tType ).
thf(type_def_8,type,
option1457017436_r_l_v: $tType ).
thf(type_def_9,type,
produc1156025366_r_l_v: $tType ).
thf(type_def_10,type,
produc1164766533_r_l_v: $tType ).
thf(type_def_11,type,
set_set_option_r: $tType ).
thf(type_def_12,type,
set_set_option_l: $tType ).
thf(type_def_13,type,
option_val_r_l_v: $tType ).
thf(type_def_14,type,
set_set_set_r: $tType ).
thf(type_def_15,type,
set_set_set_l: $tType ).
thf(type_def_16,type,
set_option_r: $tType ).
thf(type_def_17,type,
set_option_l: $tType ).
thf(type_def_18,type,
cntxt_r_l_v: $tType ).
thf(type_def_19,type,
set_set_r: $tType ).
thf(type_def_20,type,
set_set_l: $tType ).
thf(type_def_21,type,
expr_r_l_v: $tType ).
thf(type_def_22,type,
val_r_l_v: $tType ).
thf(type_def_23,type,
option_r: $tType ).
thf(type_def_24,type,
option_l: $tType ).
thf(type_def_25,type,
set_r: $tType ).
thf(type_def_26,type,
set_l: $tType ).
thf(type_def_27,type,
const: $tType ).
thf(type_def_28,type,
v: $tType ).
thf(type_def_29,type,
r: $tType ).
thf(type_def_30,type,
l: $tType ).
thf(type_def_31,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,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_1,type,
f: const ).
thf(func_def_2,type,
t: const ).
thf(func_def_3,type,
unit: const ).
thf(func_def_4,type,
doms_l_r_v: produc1156025366_r_l_v > set_l ).
thf(func_def_5,type,
assign_r_l_v: expr_r_l_v > expr_r_l_v > expr_r_l_v ).
thf(func_def_6,type,
ite_r_l_v: expr_r_l_v > expr_r_l_v > expr_r_l_v > expr_r_l_v ).
thf(func_def_7,type,
read_r_l_v: expr_r_l_v > expr_r_l_v ).
thf(func_def_8,type,
ref_r_l_v: expr_r_l_v > expr_r_l_v ).
thf(func_def_9,type,
rfork_r_l_v: expr_r_l_v > expr_r_l_v ).
thf(func_def_10,type,
rjoin_r_l_v: expr_r_l_v > expr_r_l_v ).
thf(func_def_11,type,
vE_r_l_v: val_r_l_v > expr_r_l_v ).
thf(func_def_12,type,
plug_r_l_v: cntxt_r_l_v > expr_r_l_v > expr_r_l_v ).
thf(func_def_13,type,
cV_r_l_v: const > val_r_l_v ).
thf(func_def_14,type,
loc_l_r_v: l > val_r_l_v ).
thf(func_def_15,type,
rid_r_l_v: r > val_r_l_v ).
thf(func_def_16,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_17,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_18,type,
maxima311842975_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_19,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_20,type,
steps_r_l_v: ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > set_Pr1409704485_r_l_v ).
thf(func_def_21,type,
terminates_in_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 ) > $o ).
thf(func_def_22,type,
finite2114249848tion_l: set_option_l > $o ).
thf(func_def_23,type,
finite16335230tion_r: set_option_r > $o ).
thf(func_def_24,type,
finite1853159534_r_l_v: set_Pr1409704485_r_l_v > $o ).
thf(func_def_25,type,
finite1182752216tion_l: set_set_option_l > $o ).
thf(func_def_26,type,
finite1577687006tion_r: set_set_option_r > $o ).
thf(func_def_27,type,
finite1619243214_r_l_v: set_se888453765_r_l_v > $o ).
thf(func_def_28,type,
finite1256628466_set_l: set_set_set_l > $o ).
thf(func_def_29,type,
finite1651563256_set_r: set_set_set_r > $o ).
thf(func_def_30,type,
finite_finite_set_l: set_set_l > $o ).
thf(func_def_31,type,
finite_finite_set_r: set_set_r > $o ).
thf(func_def_32,type,
finite_finite_l: set_l > $o ).
thf(func_def_33,type,
finite_finite_r: set_r > $o ).
thf(func_def_34,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_35,type,
fun_up709272714_r_l_v: ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v > r > option1457017436_r_l_v ).
thf(func_def_36,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_37,type,
if_opt1153928738_r_l_v: $o > option1457017436_r_l_v > option1457017436_r_l_v > option1457017436_r_l_v ).
thf(func_def_38,type,
dom_Pr939617279_r_l_v: ( produc1389397445_r_l_v > option_val_r_l_v ) > set_Pr1409704485_r_l_v ).
thf(func_def_39,type,
dom_Pr1162080227_r_l_v: ( produc1389397445_r_l_v > option1457017436_r_l_v ) > set_Pr1409704485_r_l_v ).
thf(func_def_40,type,
dom_l_val_r_l_v: ( l > option_val_r_l_v ) > set_l ).
thf(func_def_41,type,
dom_l_45837855_r_l_v: ( l > option1457017436_r_l_v ) > set_l ).
thf(func_def_42,type,
dom_r_val_r_l_v: ( r > option_val_r_l_v ) > set_r ).
thf(func_def_43,type,
dom_r_259548057_r_l_v: ( r > option1457017436_r_l_v ) > set_r ).
thf(func_def_44,type,
lID_G_r_l_v: ( r > option1457017436_r_l_v ) > set_l ).
thf(func_def_45,type,
lID_L_l_r_v: produc1156025366_r_l_v > set_l ).
thf(func_def_46,type,
rID_G_r_l_v: ( r > option1457017436_r_l_v ) > set_r ).
thf(func_def_47,type,
rID_L_l_r_v: produc1156025366_r_l_v > set_r ).
thf(func_def_48,type,
domain87684397_l_r_v: produc1156025366_r_l_v > $o ).
thf(func_def_49,type,
domain1547879849_r_l_v: ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_50,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_51,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_52,type,
subsum148050133_r_l_v: r > r > ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_53,type,
subsum680764357_r_l_v: ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_54,type,
none_val_r_l_v: option_val_r_l_v ).
thf(func_def_55,type,
none_P277133687_r_l_v: option1457017436_r_l_v ).
thf(func_def_56,type,
some_val_r_l_v: val_r_l_v > option_val_r_l_v ).
thf(func_def_57,type,
some_P1807977723_r_l_v: produc1156025366_r_l_v > option1457017436_r_l_v ).
thf(func_def_58,type,
the_val_r_l_v: option_val_r_l_v > val_r_l_v ).
thf(func_def_59,type,
the_Pr1541010602_r_l_v: option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(func_def_60,type,
ord_le1506375887tion_l: set_option_l > set_option_l > $o ).
thf(func_def_61,type,
ord_le1901310677tion_r: set_option_r > set_option_r > $o ).
thf(func_def_62,type,
ord_le803113413_r_l_v: set_Pr1409704485_r_l_v > set_Pr1409704485_r_l_v > $o ).
thf(func_def_63,type,
ord_le2116509289_set_l: set_set_l > set_set_l > $o ).
thf(func_def_64,type,
ord_le363960431_set_r: set_set_r > set_set_r > $o ).
thf(func_def_65,type,
ord_less_eq_set_l: set_l > set_l > $o ).
thf(func_def_66,type,
ord_less_eq_set_r: set_r > set_r > $o ).
thf(func_def_67,type,
top_top_set_option_l: set_option_l ).
thf(func_def_68,type,
top_top_set_option_r: set_option_r ).
thf(func_def_69,type,
top_top_set_l: set_l ).
thf(func_def_70,type,
top_top_set_r: set_r ).
thf(func_def_71,type,
produc1834103605_r_l_v: ( l > option_val_r_l_v ) > expr_r_l_v > produc1164766533_r_l_v ).
thf(func_def_72,type,
produc297528454_r_l_v: ( l > option_val_r_l_v ) > produc1164766533_r_l_v > produc1156025366_r_l_v ).
thf(func_def_73,type,
produc1175464189_r_l_v: ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > produc1389397445_r_l_v ).
thf(func_def_74,type,
eq_states_r_l_v: ( r > option1457017436_r_l_v ) > ( r > option1457017436_r_l_v ) > $o ).
thf(func_def_75,type,
collect_option_l: ( option_l > $o ) > set_option_l ).
thf(func_def_76,type,
collect_option_r: ( option_r > $o ) > set_option_r ).
thf(func_def_77,type,
collec1978425008_r_l_v: ( produc1389397445_r_l_v > $o ) > set_Pr1409704485_r_l_v ).
thf(func_def_78,type,
collect_set_option_l: ( set_option_l > $o ) > set_set_option_l ).
thf(func_def_79,type,
collect_set_option_r: ( set_option_r > $o ) > set_set_option_r ).
thf(func_def_80,type,
collec330370832_r_l_v: ( set_Pr1409704485_r_l_v > $o ) > set_se888453765_r_l_v ).
thf(func_def_81,type,
collect_set_set_l: ( set_set_l > $o ) > set_set_set_l ).
thf(func_def_82,type,
collect_set_set_r: ( set_set_r > $o ) > set_set_set_r ).
thf(func_def_83,type,
collect_set_l: ( set_l > $o ) > set_set_l ).
thf(func_def_84,type,
collect_set_r: ( set_r > $o ) > set_set_r ).
thf(func_def_85,type,
collect_l: ( l > $o ) > set_l ).
thf(func_def_86,type,
collect_r: ( r > $o ) > set_r ).
thf(func_def_87,type,
substitution_r_l_v: ( expr_r_l_v > v > expr_r_l_v > expr_r_l_v ) > $o ).
thf(func_def_88,type,
transi1323086383_r_l_v: set_Pr1409704485_r_l_v > set_Pr1409704485_r_l_v ).
thf(func_def_89,type,
member_option_l: option_l > set_option_l > $o ).
thf(func_def_90,type,
member_option_r: option_r > set_option_r > $o ).
thf(func_def_91,type,
member1522896238_r_l_v: produc1389397445_r_l_v > set_Pr1409704485_r_l_v > $o ).
thf(func_def_92,type,
member_set_l: set_l > set_set_l > $o ).
thf(func_def_93,type,
member_set_r: set_r > set_set_r > $o ).
thf(func_def_94,type,
member_l: l > set_l > $o ).
thf(func_def_95,type,
member_r: r > set_r > $o ).
thf(func_def_96,type,
e: cntxt_r_l_v ).
thf(func_def_97,type,
sigma: l > option_val_r_l_v ).
thf(func_def_98,type,
tau: l > option_val_r_l_v ).
thf(func_def_99,type,
e2: expr_r_l_v ).
thf(func_def_100,type,
r2: r ).
thf(func_def_101,type,
r3: r ).
thf(func_def_102,type,
r4: r ).
thf(func_def_103,type,
s_1: r > option1457017436_r_l_v ).
thf(func_def_104,type,
s_2: r > option1457017436_r_l_v ).
thf(func_def_105,type,
s_22: r > option1457017436_r_l_v ).
thf(func_def_106,type,
subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v ).
thf(func_def_107,type,
x: produc1156025366_r_l_v ).
thf(func_def_109,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_112,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_113,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_114,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_115,type,
vAND: $o > $o > $o ).
thf(func_def_116,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_117,type,
vNOT: $o > $o ).
thf(func_def_118,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_119,type,
vOR: $o > $o > $o ).
thf(func_def_120,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_121,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_122,type,
vIMP: $o > $o > $o ).
thf(func_def_123,type,
sP0: ( option_val_r_l_v > option_val_r_l_v > $o ) > option_val_r_l_v > option_val_r_l_v > $o ).
thf(func_def_124,type,
sP1: ( option1457017436_r_l_v > option_val_r_l_v > $o ) > option1457017436_r_l_v > option_val_r_l_v > $o ).
thf(func_def_125,type,
sP2: ( option1457017436_r_l_v > option1457017436_r_l_v > $o ) > option1457017436_r_l_v > option1457017436_r_l_v > $o ).
thf(func_def_126,type,
sP3: ( option_val_r_l_v > option1457017436_r_l_v > $o ) > option_val_r_l_v > option1457017436_r_l_v > $o ).
thf(func_def_127,type,
sK4: option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(func_def_128,type,
sK5: produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(func_def_129,type,
sK6: produc1156025366_r_l_v > expr_r_l_v ).
thf(func_def_130,type,
sK7: produc1156025366_r_l_v > l > option_val_r_l_v ).
thf(func_def_131,type,
sK8: ( option_val_r_l_v > option_val_r_l_v > $o ) > option_val_r_l_v > option_val_r_l_v > val_r_l_v ).
thf(func_def_132,type,
sK9: ( option_val_r_l_v > option_val_r_l_v > $o ) > option_val_r_l_v > option_val_r_l_v > val_r_l_v ).
thf(func_def_133,type,
sK10: ( option1457017436_r_l_v > option_val_r_l_v > $o ) > option1457017436_r_l_v > option_val_r_l_v > produc1156025366_r_l_v ).
thf(func_def_134,type,
sK11: ( option1457017436_r_l_v > option_val_r_l_v > $o ) > option1457017436_r_l_v > option_val_r_l_v > val_r_l_v ).
thf(func_def_135,type,
sK12: ( option1457017436_r_l_v > option1457017436_r_l_v > $o ) > option1457017436_r_l_v > option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(func_def_136,type,
sK13: ( option1457017436_r_l_v > option1457017436_r_l_v > $o ) > option1457017436_r_l_v > option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(func_def_137,type,
sK14: ( produc1156025366_r_l_v > $o ) > l > option_val_r_l_v ).
thf(func_def_138,type,
sK15: ( produc1156025366_r_l_v > $o ) > expr_r_l_v ).
thf(func_def_139,type,
sK16: ( produc1156025366_r_l_v > $o ) > l > option_val_r_l_v ).
thf(func_def_140,type,
sK17: ( option_val_r_l_v > option1457017436_r_l_v > $o ) > option_val_r_l_v > option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(func_def_141,type,
sK18: ( option_val_r_l_v > option1457017436_r_l_v > $o ) > option_val_r_l_v > option1457017436_r_l_v > val_r_l_v ).
thf(func_def_142,type,
sK19: ( option1457017436_r_l_v > $o ) > produc1156025366_r_l_v ).
thf(func_def_143,type,
sK20: ( option_val_r_l_v > $o ) > val_r_l_v ).
thf(func_def_144,type,
sK21: option_val_r_l_v > val_r_l_v ).
thf(func_def_145,type,
sK22: r ).
thf(func_def_147,type,
sK24: r ).
thf(func_def_148,type,
sK25: r ).
thf(func_def_149,type,
sK26: r ).
thf(func_def_150,type,
sK27: r ).
thf(func_def_151,type,
sK28: r ).
thf(f2,axiom,
r2 != r4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_assms_I7_J) ).
thf(f3,axiom,
r2 != r3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_assms_I6_J) ).
thf(f41,axiom,
! [X1: r,X4: option1457017436_r_l_v,X0: r,X2: r > option1457017436_r_l_v,X3: option1457017436_r_l_v] :
( ( X0 != X1 )
=> ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ X2 @ X0 @ X3 ) @ X1 @ X4 )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ X2 @ X1 @ X4 ) @ X0 @ X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_fun__upd__twist) ).
thf(f359,conjecture,
( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r2 @ ( some_P1807977723_r_l_v @ x ) ) @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [X0: l] : none_val_r_l_v
@ e2 ) ) ) )
= ( fun_up709272714_r_l_v
@ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [X0: l] : none_val_r_l_v
@ e2 ) ) ) )
@ r2
@ ( some_P1807977723_r_l_v @ x ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f360,negated_conjecture,
( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r2 @ ( some_P1807977723_r_l_v @ x ) ) @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [X0: l] : none_val_r_l_v
@ e2 ) ) ) )
!= ( fun_up709272714_r_l_v
@ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [X0: l] : none_val_r_l_v
@ e2 ) ) ) )
@ r2
@ ( some_P1807977723_r_l_v @ x ) ) ),
inference(negated_conjecture,[status(cth)],[f359]) ).
thf(f527,plain,
( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r2 @ ( some_P1807977723_r_l_v @ x ) ) @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [X0: l] : none_val_r_l_v
@ e2 ) ) ) )
!= ( fun_up709272714_r_l_v
@ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [X1: l] : none_val_r_l_v
@ e2 ) ) ) )
@ r2
@ ( some_P1807977723_r_l_v @ x ) ) ),
inference(rectify,[],[f360]) ).
thf(f528,plain,
( ( fun_up709272714_r_l_v
@ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ) ) )
@ r2
@ ( some_P1807977723_r_l_v @ x ) )
!= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r2 @ ( some_P1807977723_r_l_v @ x ) ) @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ) ) ) ),
inference(fool_elimination,[],[f527]) ).
thf(f893,plain,
( ( fun_up709272714_r_l_v
@ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ) ) )
@ r2
@ ( some_P1807977723_r_l_v @ x ) )
!= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r2 @ ( some_P1807977723_r_l_v @ x ) ) @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ) ) ) ),
inference(flattening,[],[f528]) ).
thf(f902,plain,
! [X2: r,X1: option1457017436_r_l_v,X0: r,X3: r > option1457017436_r_l_v,X4: option1457017436_r_l_v] :
( ( X0 != X2 )
=> ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ X3 @ X0 @ X1 ) @ X2 @ X4 )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ X3 @ X2 @ X4 ) @ X0 @ X1 ) ) ),
inference(rectify,[],[f41]) ).
thf(f935,plain,
! [X3: r > option1457017436_r_l_v,X4: option1457017436_r_l_v,X2: r,X1: option1457017436_r_l_v,X0: r] :
( ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ X3 @ X0 @ X1 ) @ X2 @ X4 )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ X3 @ X2 @ X4 ) @ X0 @ X1 ) )
| ( X0 = X2 ) ),
inference(ennf_transformation,[],[f902]) ).
thf(f1011,plain,
! [X0: r > option1457017436_r_l_v,X1: option1457017436_r_l_v,X2: r,X3: option1457017436_r_l_v,X4: r] :
( ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ X0 @ X2 @ X1 ) @ X4 @ X3 )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ X0 @ X4 @ X3 ) @ X2 @ X1 ) )
| ( X2 = X4 ) ),
inference(rectify,[],[f935]) ).
thf(f1077,plain,
r4 != r2,
inference(cnf_transformation,[],[f2]) ).
thf(f1078,plain,
( ( fun_up709272714_r_l_v
@ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ) ) )
@ r2
@ ( some_P1807977723_r_l_v @ x ) )
!= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r2 @ ( some_P1807977723_r_l_v @ x ) ) @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ) ) ) ),
inference(cnf_transformation,[],[f893]) ).
thf(f1085,plain,
! [X2: r,X3: option1457017436_r_l_v,X0: r > option1457017436_r_l_v,X1: option1457017436_r_l_v,X4: r] :
( ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ X0 @ X2 @ X1 ) @ X4 @ X3 )
= ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ X0 @ X4 @ X3 ) @ X2 @ X1 ) )
| ( X2 = X4 ) ),
inference(cnf_transformation,[],[f1011]) ).
thf(f1104,plain,
r2 != r3,
inference(cnf_transformation,[],[f3]) ).
thf(f1138,plain,
( ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r2 @ ( some_P1807977723_r_l_v @ x ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ) ) )
!= ( fun_up709272714_r_l_v
@ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ) ) )
@ r2
@ ( some_P1807977723_r_l_v @ x ) ) )
| ( r2 = r3 ) ),
inference(superposition,[],[f1078,f1085]) ).
thf(f1143,plain,
( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r2 @ ( some_P1807977723_r_l_v @ x ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ) ) )
!= ( fun_up709272714_r_l_v
@ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ) ) )
@ r2
@ ( some_P1807977723_r_l_v @ x ) ) ),
inference(forward_subsumption_resolution,[],[f1138,f1104]) ).
thf(f1253,plain,
( ( ( fun_up709272714_r_l_v
@ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ) ) )
@ r2
@ ( some_P1807977723_r_l_v @ x ) )
!= ( fun_up709272714_r_l_v
@ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s_1 @ r3 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r4 ) ) ) ) ) ) ) @ r4
@ ( some_P1807977723_r_l_v
@ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
@ ( produc1834103605_r_l_v
@ ^ [Y0: l] : none_val_r_l_v
@ e2 ) ) ) )
@ r2
@ ( some_P1807977723_r_l_v @ x ) ) )
| ( r4 = r2 ) ),
inference(superposition,[],[f1143,f1085]) ).
thf(f1255,plain,
r4 = r2,
inference(trivial_inequality_removal,[],[f1253]) ).
thf(f1257,plain,
$false,
inference(forward_subsumption_resolution,[],[f1255,f1077]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP045^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n009.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 19:41:30 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.20/0.31 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
% 0.75/0.52 % (264318)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.75/0.52 % (264332)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3871560724:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.75/0.52 % (264329)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1139285672:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.75/0.52 % (264330)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=1314389536: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)
% 0.75/0.52 % (264329)Instruction limit reached!
% 0.75/0.52 % (264329)------------------------------
% 0.75/0.52 % (264329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.52 % (264329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.52 % (264329)CaDiCaL version: 2.1.3
% 0.75/0.52 % (264329)Termination reason: Instruction limit
% 0.75/0.52 % (264329)Termination phase: shuffling
% 0.75/0.52 % (264329)Time elapsed: 0.007 s
% 0.75/0.52 % (264329)Peak memory usage: 10 MB
% 0.75/0.52 % (264329)Instructions burned: 7 (million)
% 0.75/0.52 % (264332)Instruction limit reached!
% 0.75/0.52 % (264332)------------------------------
% 0.75/0.52 % (264332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.52 % (264332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.52 % (264332)CaDiCaL version: 2.1.3
% 0.75/0.52 % (264332)Termination reason: Instruction limit
% 0.75/0.52 % (264332)Termination phase: SInE selection
% 0.75/0.52 % (264332)Time elapsed: 0.032 s
% 0.75/0.52 % (264332)Peak memory usage: 11 MB
% 0.75/0.52 % (264332)Instructions burned: 75 (million)
% 0.75/0.52 % (264333)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.75/0.52 % (264333)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
% 0.75/0.52 % (264327)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1626780006:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.75/0.52 % (264333)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=4257069740:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.75/0.52 % (264328)lrs+10_16_si=on:nwc=1.5:random_seed=3584561515:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.75/0.52 % (264331)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2462941941:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.75/0.52 % (264328)Instruction limit reached!
% 0.75/0.52 % (264328)------------------------------
% 0.75/0.52 % (264328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.52 % (264328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.52 % (264328)CaDiCaL version: 2.1.3
% 0.75/0.52 % (264328)Termination reason: Instruction limit
% 0.75/0.52 % (264328)Termination phase: shuffling
% 0.75/0.52 % (264328)Time elapsed: 0.009 s
% 0.75/0.52 % (264328)Peak memory usage: 10 MB
% 0.75/0.52 % (264328)Instructions burned: 18 (million)
% 0.75/0.52 % (264338)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=449762907:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2998 on theBenchmark for (2998ds/5Mi)
% 0.75/0.52 % (264331)Instruction limit reached!
% 0.75/0.52 % (264331)------------------------------
% 0.75/0.52 % (264331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.52 % (264331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.52 % (264331)CaDiCaL version: 2.1.3
% 0.75/0.52 % (264331)Termination reason: Instruction limit
% 0.75/0.52 % (264331)Termination phase: shuffling
% 0.75/0.52 % (264331)Time elapsed: 0.012 s
% 0.75/0.52 % (264331)Peak memory usage: 11 MB
% 0.75/0.52 % (264331)Instructions burned: 25 (million)
% 0.75/0.52 % (264338)Instruction limit reached!
% 0.75/0.52 % (264338)------------------------------
% 0.75/0.52 % (264338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.52 % (264338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.56 % (264338)CaDiCaL version: 2.1.3
% 0.75/0.56 % (264338)Termination reason: Instruction limit
% 0.75/0.56 % (264338)Termination phase: shuffling
% 0.75/0.56 % (264338)Time elapsed: 0.003 s
% 0.75/0.56 % (264338)Peak memory usage: 10 MB
% 0.75/0.56 % (264338)Instructions burned: 5 (million)
% 0.75/0.56 % (264337)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2228775398:i=2:hud=10:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.75/0.56 % (264327)Instruction limit reached!
% 0.75/0.56 % (264327)------------------------------
% 0.75/0.56 % (264327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.56 % (264337)Instruction limit reached!
% 0.75/0.56 % (264337)------------------------------
% 0.75/0.56 % (264337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.56 % (264327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.56 % (264327)CaDiCaL version: 2.1.3
% 0.75/0.56 % (264327)Termination reason: Instruction limit
% 0.75/0.56 % (264327)Termination phase: Naming
% 0.75/0.56 % (264327)Time elapsed: 0.024 s
% 0.75/0.56 % (264337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.56 % (264327)Peak memory usage: 11 MB
% 0.75/0.56 % (264327)Instructions burned: 88 (million)
% 0.75/0.56 % (264337)CaDiCaL version: 2.1.3
% 0.75/0.56 % (264337)Termination reason: Instruction limit
% 0.75/0.56 % (264337)Termination phase: shuffling
% 0.75/0.56 % (264337)Time elapsed: 0.002 s
% 0.75/0.56 % (264337)Peak memory usage: 10 MB
% 0.75/0.56 % (264337)Instructions burned: 4 (million)
% 0.75/0.56 % (264344)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.75/0.56 % (264344)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2177944626:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 0.75/0.56 % (264344)Instruction limit reached!
% 0.75/0.56 % (264344)------------------------------
% 0.75/0.56 % (264344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.56 % (264344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.56 % (264344)CaDiCaL version: 2.1.3
% 0.75/0.56 % (264344)Termination reason: Instruction limit
% 0.75/0.56 % (264344)Termination phase: shuffling
% 0.75/0.56 % (264344)Time elapsed: 0.004 s
% 0.75/0.56 % (264344)Peak memory usage: 10 MB
% 0.75/0.56 % (264344)Instructions burned: 7 (million)
% 0.75/0.56 % (264351)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=3011648712:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 0.75/0.56 % (264349)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
% 0.75/0.56 % (264349)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.75/0.56 % (264348)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2920082577:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 0.75/0.56 % (264349)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2316473313:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 0.75/0.56 % (264352)lrs+10_1_si=on:cs=on:random_seed=1904369413:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.75/0.56 % (264348)Instruction limit reached!
% 0.75/0.56 % (264348)------------------------------
% 0.75/0.56 % (264348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.56 % (264348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.56 % (264348)CaDiCaL version: 2.1.3
% 0.75/0.56 % (264348)Termination reason: Instruction limit
% 0.75/0.56 % (264348)Termination phase: shuffling
% 0.75/0.56 % (264348)Time elapsed: 0.007 s
% 0.75/0.56 % (264348)Peak memory usage: 10 MB
% 0.75/0.56 % (264348)Instructions burned: 14 (million)
% 0.75/0.56 % (264352)Instruction limit reached!
% 0.75/0.56 % (264352)------------------------------
% 0.75/0.56 % (264352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.58 % (264352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.58 % (264352)CaDiCaL version: 2.1.3
% 1.35/0.58 % (264352)Termination reason: Instruction limit
% 1.35/0.58 % (264352)Termination phase: shuffling
% 1.35/0.58 % (264352)Time elapsed: 0.004 s
% 1.35/0.58 % (264352)Peak memory usage: 10 MB
% 1.35/0.58 % (264352)Instructions burned: 9 (million)
% 1.35/0.58 % (264355)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.35/0.58 % (264355)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=1784558883:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.35/0.58 % (264349)Instruction limit reached!
% 1.35/0.58 % (264349)------------------------------
% 1.35/0.58 % (264349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.58 % (264349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.58 % (264349)CaDiCaL version: 2.1.3
% 1.35/0.58 % (264349)Termination reason: Instruction limit
% 1.35/0.58 % (264349)Termination phase: shuffling
% 1.35/0.58 % (264349)Time elapsed: 0.014 s
% 1.35/0.58 % (264349)Peak memory usage: 11 MB
% 1.35/0.58 % (264349)Instructions burned: 29 (million)
% 1.35/0.58 % (264355)Instruction limit reached!
% 1.35/0.58 % (264355)------------------------------
% 1.35/0.58 % (264355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.58 % (264355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.58 % (264355)CaDiCaL version: 2.1.3
% 1.35/0.58 % (264355)Termination reason: Instruction limit
% 1.35/0.58 % (264355)Termination phase: shuffling
% 1.35/0.58 % (264355)Time elapsed: 0.002 s
% 1.35/0.58 % (264355)Peak memory usage: 10 MB
% 1.35/0.58 % (264355)Instructions burned: 4 (million)
% 1.35/0.58 % (264351)Instruction limit reached!
% 1.35/0.58 % (264351)------------------------------
% 1.35/0.58 % (264351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.58 % (264351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.58 % (264351)CaDiCaL version: 2.1.3
% 1.35/0.58 % (264351)Termination reason: Instruction limit
% 1.35/0.58 % (264351)Termination phase: Property scanning
% 1.35/0.58 % (264351)Time elapsed: 0.021 s
% 1.35/0.58 % (264351)Peak memory usage: 11 MB
% 1.35/0.58 % (264351)Instructions burned: 90 (million)
% 1.35/0.58 % (264359)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2268956788:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.35/0.58 % (264363)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2998498506:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.35/0.58 % (264360)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3958992689:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.35/0.58 % (264363)Instruction limit reached!
% 1.35/0.58 % (264363)------------------------------
% 1.35/0.58 % (264363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.58 % (264363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.58 % (264363)CaDiCaL version: 2.1.3
% 1.35/0.58 % (264363)Termination reason: Instruction limit
% 1.35/0.58 % (264363)Termination phase: shuffling
% 1.35/0.58 % (264363)Time elapsed: 0.004 s
% 1.35/0.58 % (264363)Peak memory usage: 10 MB
% 1.35/0.58 % (264363)Instructions burned: 18 (million)
% 1.35/0.58 % (264333)Instruction limit reached!
% 1.35/0.58 % (264333)------------------------------
% 1.35/0.58 % (264333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.58 % (264333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.58 % (264333)CaDiCaL version: 2.1.3
% 1.35/0.58 % (264333)Termination reason: Instruction limit
% 1.35/0.58 % (264333)Termination phase: Property scanning
% 1.35/0.58 % (264333)Time elapsed: 0.071 s
% 1.35/0.58 % (264333)Peak memory usage: 13 MB
% 1.35/0.58 % (264333)Instructions burned: 158 (million)
% 1.35/0.58 % (264362)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2168776566:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.35/0.58 % (264364)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=674151362:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.35/0.58 % (264359)Instruction limit reached!
% 1.35/0.58 % (264359)------------------------------
% 1.35/0.58 % (264359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.58 % (264359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.58 % (264359)CaDiCaL version: 2.1.3
% 1.35/0.58 % (264359)Termination reason: Instruction limit
% 1.35/0.58 % (264359)Termination phase: shuffling
% 1.35/0.58 % (264359)Time elapsed: 0.016 s
% 1.35/0.58 % (264359)Peak memory usage: 10 MB
% 1.35/0.58 % (264359)Instructions burned: 38 (million)
% 1.35/0.58 % (264368)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=955007414:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.35/0.58 % (264362)Instruction limit reached!
% 1.35/0.58 % (264362)------------------------------
% 1.35/0.58 % (264362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.58 % (264362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.58 % (264362)CaDiCaL version: 2.1.3
% 1.35/0.58 % (264362)Termination reason: Instruction limit
% 1.35/0.58 % (264362)Termination phase: shuffling
% 1.35/0.58 % (264362)Time elapsed: 0.011 s
% 1.35/0.58 % (264362)Peak memory usage: 10 MB
% 1.35/0.58 % (264362)Instructions burned: 26 (million)
% 1.35/0.58 % (264368)Instruction limit reached!
% 1.35/0.58 % (264368)------------------------------
% 1.35/0.58 % (264368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.58 % (264368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.58 % (264368)CaDiCaL version: 2.1.3
% 1.35/0.58 % (264368)Termination reason: Instruction limit
% 1.35/0.58 % (264368)Termination phase: shuffling
% 1.35/0.58 % (264368)Time elapsed: 0.004 s
% 1.35/0.58 % (264368)Peak memory usage: 10 MB
% 1.35/0.58 % (264368)Instructions burned: 18 (million)
% 1.35/0.58 % (264369)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2477783707: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)
% 1.35/0.58 % (264369)Instruction limit reached!
% 1.35/0.58 % (264369)------------------------------
% 1.35/0.58 % (264369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.58 % (264369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.58 % (264369)CaDiCaL version: 2.1.3
% 1.35/0.58 % (264369)Termination reason: Instruction limit
% 1.35/0.58 % (264369)Termination phase: shuffling
% 1.35/0.58 % (264369)Time elapsed: 0.003 s
% 1.35/0.58 % (264369)Peak memory usage: 10 MB
% 1.35/0.58 % (264369)Instructions burned: 6 (million)
% 1.35/0.58 % (264374)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3558601594:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.35/0.58 % (264372)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2733669934:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 1.35/0.58 % (264374)Instruction limit reached!
% 1.35/0.58 % (264374)------------------------------
% 1.35/0.58 % (264374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.58 % (264374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.58 % (264374)CaDiCaL version: 2.1.3
% 1.35/0.58 % (264374)Termination reason: Instruction limit
% 1.35/0.58 % (264374)Termination phase: shuffling
% 1.35/0.58 % (264374)Time elapsed: 0.005 s
% 1.35/0.58 % (264374)Peak memory usage: 10 MB
% 1.35/0.58 % (264374)Instructions burned: 24 (million)
% 1.35/0.58 % (264375)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=720066241:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 1.35/0.58 % (264380)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.35/0.58 % (264372)Instruction limit reached!
% 1.35/0.58 % (264372)------------------------------
% 1.35/0.58 % (264372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.58 % (264372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.58 % (264372)CaDiCaL version: 2.1.3
% 1.35/0.58 % (264372)Termination reason: Instruction limit
% 1.35/0.58 % (264372)Termination phase: shuffling
% 1.35/0.58 % (264372)Time elapsed: 0.012 s
% 1.35/0.58 % (264372)Peak memory usage: 11 MB
% 1.35/0.58 % (264372)Instructions burned: 26 (million)
% 1.35/0.58 % (264378)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
% 1.35/0.58 % (264378)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.35/0.58 % (264380)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=4196616572:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 1.35/0.58 % (264380)Instruction limit reached!
% 1.35/0.58 % (264380)------------------------------
% 1.35/0.58 % (264380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.58 % (264378)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=1202717821:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 1.35/0.58 % (264380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.58 % (264380)CaDiCaL version: 2.1.3
% 1.35/0.58 % (264380)Termination reason: Instruction limit
% 1.35/0.58 % (264380)Termination phase: shuffling
% 1.35/0.58 % (264380)Time elapsed: 0.003 s
% 1.35/0.58 % (264380)Peak memory usage: 10 MB
% 1.35/0.58 % (264380)Instructions burned: 14 (million)
% 1.35/0.58 % (264378)Instruction limit reached!
% 1.35/0.58 % (264378)------------------------------
% 1.35/0.58 % (264378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.58 % (264378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.58 % (264378)CaDiCaL version: 2.1.3
% 1.35/0.58 % (264378)Termination reason: Instruction limit
% 1.35/0.58 % (264378)Termination phase: shuffling
% 1.35/0.58 % (264378)Time elapsed: 0.007 s
% 1.35/0.58 % (264378)Peak memory usage: 10 MB
% 1.35/0.58 % (264378)Instructions burned: 14 (million)
% 1.35/0.58 % (264385)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2957058133:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.35/0.58 % (264385)Instruction limit reached!
% 1.35/0.58 % (264385)------------------------------
% 1.35/0.58 % (264385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.58 % (264385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.58 % (264385)CaDiCaL version: 2.1.3
% 1.35/0.58 % (264385)Termination reason: Instruction limit
% 1.35/0.58 % (264385)Termination phase: shuffling
% 1.35/0.58 % (264385)Time elapsed: 0.003 s
% 1.35/0.58 % (264385)Peak memory usage: 10 MB
% 1.35/0.58 % (264385)Instructions burned: 11 (million)
% 1.35/0.58 % (264360) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-264318-264360"...
% 1.35/0.58 % (264383)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=2754778209:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.35/0.58 % (264360)...printing done.
% 1.35/0.58 % (264375)Instruction limit reached!
% 1.35/0.58 % (264375)------------------------------
% 1.35/0.58 % (264375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.58 % (264375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.58 % (264375)CaDiCaL version: 2.1.3
% 1.35/0.58 % (264375)Termination reason: Instruction limit
% 1.35/0.58 % (264375)Termination phase: Property scanning
% 1.35/0.58 % (264375)Time elapsed: 0.028 s
% 1.35/0.58 % (264375)Peak memory usage: 11 MB
% 1.35/0.58 % (264375)Instructions burned: 61 (million)
% 1.35/0.58 % (264360)Refutation found. Thanks to Tanya!
% 1.35/0.58 % SZS status Theorem for theBenchmark
% 1.35/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.35/0.59 % (264360)------------------------------
% 1.35/0.59 % (264360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.59 % (264360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.59 % (264360)CaDiCaL version: 2.1.3
% 1.35/0.59 % (264360)Termination reason: Refutation
% 1.35/0.59 % (264360)Time elapsed: 0.065 s
% 1.35/0.59 % (264360)Peak memory usage: 14 MB
% 1.35/0.59 % (264360)Instructions burned: 137 (million)
% 1.35/0.59 % (264318)Success in time 0.258 s
% 1.35/0.59 % Vampire exiting
%------------------------------------------------------------------------------