%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW474^3 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 08:40:19 AM UTC 2026
% Result : Theorem 2.47s 0.96s
% Output : Refutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 81 ( 29 unt; 0 typ; 8 def)
% Number of atoms : 366 ( 77 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 380 ( 65 ~; 57 |; 0 &; 229 @)
% ( 8 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 476 ( 473 usr; 27 con; 0-7 aty)
% Number of variables : 57 ( 0 sgn 49 !; 0 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
com: $tType ).
thf(type_def_6,type,
pname: $tType ).
thf(type_def_7,type,
state: $tType ).
thf(type_def_8,type,
hoare_1708887482_state: $tType ).
thf(type_def_9,type,
option_com: $tType ).
thf(type_def_10,type,
option_pname: $tType ).
thf(type_def_11,type,
option1624383643_state: $tType ).
thf(type_def_12,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
big_la1126801287name_o: ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_1,type,
big_la781588935tate_o: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o ).
thf(func_def_2,type,
wt: com > $o ).
thf(func_def_3,type,
wT_bodies: $o ).
thf(func_def_4,type,
body: pname > option_com ).
thf(func_def_5,type,
body_1: pname > com ).
thf(func_def_6,type,
skip: com ).
thf(func_def_7,type,
semi: com > com > com ).
thf(func_def_8,type,
while: ( state > $o ) > com > com ).
thf(func_def_9,type,
finite138924780name_o: ( ( pname > $o ) > ( pname > $o ) > pname > $o ) > $o ).
thf(func_def_10,type,
finite2034616076tate_o: ( ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > $o ).
thf(func_def_11,type,
finite2048025996em_o_o: ( $o > $o > $o ) > $o ).
thf(func_def_12,type,
finite567462577_com_o: ( com > ( com > $o ) > com > $o ) > $o ).
thf(func_def_13,type,
finite1123817265name_o: ( pname > ( pname > $o ) > pname > $o ) > $o ).
thf(func_def_14,type,
finite662762081tate_o: ( hoare_1708887482_state > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > $o ).
thf(func_def_15,type,
finite1066544169me_o_o: ( ( ( pname > $o ) > $o ) > $o ) > $o ).
thf(func_def_16,type,
finite1019950101te_o_o: ( ( ( hoare_1708887482_state > $o ) > $o ) > $o ) > $o ).
thf(func_def_17,type,
finite297249702name_o: ( ( pname > $o ) > $o ) > $o ).
thf(func_def_18,type,
finite1329924456tate_o: ( ( hoare_1708887482_state > $o ) > $o ) > $o ).
thf(func_def_19,type,
finite_finite_o: ( $o > $o ) > $o ).
thf(func_def_20,type,
finite_finite_com: ( com > $o ) > $o ).
thf(func_def_21,type,
finite_finite_pname: ( pname > $o ) > $o ).
thf(func_def_22,type,
finite1625599783_state: ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_23,type,
finite1849951719me_o_o: ( ( pname > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_24,type,
finite472615016name_o: ( ( pname > $o ) > ( pname > $o ) > pname > $o ) > ( pname > $o ) > ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_25,type,
finite463603445te_o_o: ( ( hoare_1708887482_state > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > ( hoare_1708887482_state > $o ) > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_26,type,
finite822533768tate_o: ( ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o ).
thf(func_def_27,type,
finite_fold_o_o: ( $o > $o > $o ) > $o > ( $o > $o ) > $o ).
thf(func_def_28,type,
finite504235573_com_o: ( com > ( com > $o ) > com > $o ) > ( com > $o ) > ( com > $o ) > com > $o ).
thf(func_def_29,type,
finite_fold_com_com: ( com > com > com ) > com > ( com > $o ) > com ).
thf(func_def_30,type,
finite603803317name_o: ( pname > ( pname > $o ) > pname > $o ) > ( pname > $o ) > ( pname > $o ) > pname > $o ).
thf(func_def_31,type,
finite1657623752_pname: ( pname > pname > pname ) > pname > ( pname > $o ) > pname ).
thf(func_def_32,type,
finite96880613tate_o: ( hoare_1708887482_state > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(func_def_33,type,
finite309095018_state: ( hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state ) > hoare_1708887482_state > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_34,type,
finite2139561282_pname: ( ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > ( pname > hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > ( pname > $o ) > hoare_1708887482_state > $o ).
thf(func_def_35,type,
finite349908348name_o: ( ( pname > $o ) > ( pname > $o ) > pname > $o ) > ( ( ( pname > $o ) > $o ) > pname > $o ) > $o ).
thf(func_def_36,type,
finite928843026tate_o: ( ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > ( ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o ) > $o ).
thf(func_def_37,type,
finite860057415ne_com: ( com > com > com ) > ( ( com > $o ) > com ) > $o ).
thf(func_def_38,type,
finite1282449217_pname: ( pname > pname > pname ) > ( ( pname > $o ) > pname ) > $o ).
thf(func_def_39,type,
finite1615457021_state: ( hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state ) > ( ( hoare_1708887482_state > $o ) > hoare_1708887482_state ) > $o ).
thf(func_def_40,type,
finite697516351name_o: ( ( pname > $o ) > ( pname > $o ) > pname > $o ) > ( ( ( pname > $o ) > $o ) > pname > $o ) > $o ).
thf(func_def_41,type,
finite621643279tate_o: ( ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > ( ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o ) > $o ).
thf(func_def_42,type,
finite666746948em_com: ( com > com > com ) > ( ( com > $o ) > com ) > $o ).
thf(func_def_43,type,
finite89670078_pname: ( pname > pname > pname ) > ( ( pname > $o ) > pname ) > $o ).
thf(func_def_44,type,
finite1347568576_state: ( hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state ) > ( ( hoare_1708887482_state > $o ) > hoare_1708887482_state ) > $o ).
thf(func_def_45,type,
fun_up1986763201_state: ( pname > hoare_1708887482_state ) > pname > hoare_1708887482_state > pname > hoare_1708887482_state ).
thf(func_def_46,type,
fun_up879233478on_com: ( pname > option_com ) > pname > option_com > pname > option_com ).
thf(func_def_47,type,
inj_on691924881name_o: ( ( pname > $o ) > pname > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(func_def_48,type,
inj_on176908593tate_o: ( ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > $o ).
thf(func_def_49,type,
inj_on11367768on_com: ( com > option_com ) > ( com > $o ) > $o ).
thf(func_def_50,type,
inj_on_pname_pname: ( pname > pname ) > ( pname > $o ) > $o ).
thf(func_def_51,type,
inj_on1553129421_state: ( pname > hoare_1708887482_state ) > ( pname > $o ) > $o ).
thf(func_def_52,type,
inj_on737724108_pname: ( pname > option_pname ) > ( pname > $o ) > $o ).
thf(func_def_53,type,
inj_on1945914667_pname: ( hoare_1708887482_state > pname ) > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_54,type,
inj_on632008595_state: ( hoare_1708887482_state > hoare_1708887482_state ) > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_55,type,
inj_on945311362_state: ( hoare_1708887482_state > option1624383643_state ) > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_56,type,
overri1496249029on_com: ( pname > option_com ) > ( pname > option_com ) > ( pname > $o ) > pname > option_com ).
thf(func_def_57,type,
minus_1480864103me_o_o: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_58,type,
minus_548038231te_o_o: ( ( hoare_1708887482_state > $o ) > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_59,type,
minus_minus_com_o: ( com > $o ) > ( com > $o ) > com > $o ).
thf(func_def_60,type,
minus_minus_pname_o: ( pname > $o ) > ( pname > $o ) > pname > $o ).
thf(func_def_61,type,
minus_2056855718tate_o: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(func_def_62,type,
the_com_1: ( com > $o ) > com ).
thf(func_def_63,type,
the_pname: ( pname > $o ) > pname ).
thf(func_def_64,type,
the_Ho851197897_state: ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_65,type,
hoare_Mirabelle_MGT: com > hoare_1708887482_state ).
thf(func_def_66,type,
hoare_90032982_state: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_67,type,
hoare_496444244_state: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_68,type,
hoare_1160767572gleton: $o ).
thf(func_def_69,type,
hoare_858012674_state: ( state > state > $o ) > com > ( state > state > $o ) > hoare_1708887482_state ).
thf(func_def_70,type,
if_Hoa1374726218_state: $o > hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state ).
thf(func_def_71,type,
if_option_com: $o > option_com > option_com > option_com ).
thf(func_def_72,type,
semila2013987940me_o_o: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_73,type,
semila598060698te_o_o: ( ( hoare_1708887482_state > $o ) > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_74,type,
semila513601829_com_o: ( com > $o ) > ( com > $o ) > com > $o ).
thf(func_def_75,type,
semila1673364395name_o: ( pname > $o ) > ( pname > $o ) > pname > $o ).
thf(func_def_76,type,
semila129691299tate_o: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(func_def_77,type,
semila854092349_inf_o: $o > $o > $o ).
thf(func_def_78,type,
semila181081674me_o_o: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_79,type,
semila1853742644te_o_o: ( ( hoare_1708887482_state > $o ) > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_80,type,
semila1562558655_com_o: ( com > $o ) > ( com > $o ) > com > $o ).
thf(func_def_81,type,
semila1780557381name_o: ( pname > $o ) > ( pname > $o ) > pname > $o ).
thf(func_def_82,type,
semila1122118281tate_o: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(func_def_83,type,
semila10642723_sup_o: $o > $o > $o ).
thf(func_def_84,type,
dom_com_com: ( com > option_com ) > com > $o ).
thf(func_def_85,type,
dom_pname_com: ( pname > option_com ) > pname > $o ).
thf(func_def_86,type,
dom_pname_pname: ( pname > option_pname ) > pname > $o ).
thf(func_def_87,type,
dom_pn1412407212_state: ( pname > option1624383643_state ) > pname > $o ).
thf(func_def_88,type,
dom_Ho1805192458_pname: ( hoare_1708887482_state > option_pname ) > hoare_1708887482_state > $o ).
thf(func_def_89,type,
dom_Ho1703271284_state: ( hoare_1708887482_state > option1624383643_state ) > hoare_1708887482_state > $o ).
thf(func_def_90,type,
restri1382200118me_com: ( pname > option_com ) > ( pname > $o ) > pname > option_com ).
thf(func_def_91,type,
evalc: com > state > state > $o ).
thf(func_def_92,type,
is_none_com: option_com > $o ).
thf(func_def_93,type,
is_none_pname: option_pname > $o ).
thf(func_def_94,type,
is_non163157940_state: option1624383643_state > $o ).
thf(func_def_95,type,
none_com: option_com ).
thf(func_def_96,type,
none_pname: option_pname ).
thf(func_def_97,type,
none_H1106584047_state: option1624383643_state ).
thf(func_def_98,type,
some_com: com > option_com ).
thf(func_def_99,type,
some_pname: pname > option_pname ).
thf(func_def_100,type,
some_H1974565227_state: hoare_1708887482_state > option1624383643_state ).
thf(func_def_101,type,
set_com: option_com > com > $o ).
thf(func_def_102,type,
set_pname: option_pname > pname > $o ).
thf(func_def_103,type,
set_Ho525251890_state: option1624383643_state > hoare_1708887482_state > $o ).
thf(func_def_104,type,
the_com: option_com > com ).
thf(func_def_105,type,
the_pname_1: option_pname > pname ).
thf(func_def_106,type,
the_Ho963921505_state: option1624383643_state > hoare_1708887482_state ).
thf(func_def_107,type,
bot_bot_pname_o_o: ( pname > $o ) > $o ).
thf(func_def_108,type,
bot_bo1678742418te_o_o: ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_109,type,
bot_bot_com_o: com > $o ).
thf(func_def_110,type,
bot_bot_pname_o: pname > $o ).
thf(func_def_111,type,
bot_bo19817387tate_o: hoare_1708887482_state > $o ).
thf(func_def_112,type,
bot_bot_o: $o ).
thf(func_def_113,type,
ord_le1205211808me_o_o: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(func_def_114,type,
ord_le1728773982te_o_o: ( ( hoare_1708887482_state > $o ) > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > $o ).
thf(func_def_115,type,
ord_less_eq_com_o: ( com > $o ) > ( com > $o ) > $o ).
thf(func_def_116,type,
ord_less_eq_pname_o: ( pname > $o ) > ( pname > $o ) > $o ).
thf(func_def_117,type,
ord_le777019615tate_o: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_118,type,
ord_less_eq_o: $o > $o > $o ).
thf(func_def_119,type,
top_top_com_o: com > $o ).
thf(func_def_120,type,
top_top_pname_o: pname > $o ).
thf(func_def_121,type,
top_to832624271tate_o: hoare_1708887482_state > $o ).
thf(func_def_122,type,
partial_flat_lub_com: com > ( com > $o ) > com ).
thf(func_def_123,type,
partia752020666_pname: pname > ( pname > $o ) > pname ).
thf(func_def_124,type,
partia1256728516_state: hoare_1708887482_state > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_125,type,
collect_pname_o_o: ( ( ( pname > $o ) > $o ) > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(func_def_126,type,
collec58007891te_o_o: ( ( ( hoare_1708887482_state > $o ) > $o ) > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > $o ).
thf(func_def_127,type,
collect_pname_o: ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_128,type,
collec219771562tate_o: ( ( hoare_1708887482_state > $o ) > $o ) > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_129,type,
collect_com: ( com > $o ) > com > $o ).
thf(func_def_130,type,
collect_pname: ( pname > $o ) > pname > $o ).
thf(func_def_131,type,
collec1568722789_state: ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(func_def_132,type,
image_1085733413name_o: ( ( pname > $o ) > pname > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_133,type,
image_pname_o_pname: ( ( pname > $o ) > pname ) > ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_134,type,
image_1922967206_state: ( ( pname > $o ) > hoare_1708887482_state ) > ( ( pname > $o ) > $o ) > hoare_1708887482_state > $o ).
thf(func_def_135,type,
image_909543877tate_o: ( ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_136,type,
image_2051418740_pname: ( ( hoare_1708887482_state > $o ) > pname ) > ( ( hoare_1708887482_state > $o ) > $o ) > pname > $o ).
thf(func_def_137,type,
image_27005066_state: ( ( hoare_1708887482_state > $o ) > hoare_1708887482_state ) > ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o ).
thf(func_def_138,type,
image_com_com: ( com > com ) > ( com > $o ) > com > $o ).
thf(func_def_139,type,
image_com_pname: ( com > pname ) > ( com > $o ) > pname > $o ).
thf(func_def_140,type,
image_934102463_state: ( com > hoare_1708887482_state ) > ( com > $o ) > hoare_1708887482_state > $o ).
thf(func_def_141,type,
image_pname_pname_o: ( pname > pname > $o ) > ( pname > $o ) > ( pname > $o ) > $o ).
thf(func_def_142,type,
image_425134806tate_o: ( pname > hoare_1708887482_state > $o ) > ( pname > $o ) > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_143,type,
image_pname_com: ( pname > com ) > ( pname > $o ) > com > $o ).
thf(func_def_144,type,
image_pname_pname: ( pname > pname ) > ( pname > $o ) > pname > $o ).
thf(func_def_145,type,
image_1116629049_state: ( pname > hoare_1708887482_state ) > ( pname > $o ) > hoare_1708887482_state > $o ).
thf(func_def_146,type,
image_1552895654name_o: ( hoare_1708887482_state > pname > $o ) > ( hoare_1708887482_state > $o ) > ( pname > $o ) > $o ).
thf(func_def_147,type,
image_1551509096tate_o: ( hoare_1708887482_state > hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_148,type,
image_1604448413te_com: ( hoare_1708887482_state > com ) > ( hoare_1708887482_state > $o ) > com > $o ).
thf(func_def_149,type,
image_1509414295_pname: ( hoare_1708887482_state > pname ) > ( hoare_1708887482_state > $o ) > pname > $o ).
thf(func_def_150,type,
image_757158439_state: ( hoare_1708887482_state > hoare_1708887482_state ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(func_def_151,type,
insert_pname_o: ( pname > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_152,type,
insert949073679tate_o: ( hoare_1708887482_state > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_153,type,
insert_o: $o > ( $o > $o ) > $o > $o ).
thf(func_def_154,type,
insert_com: com > ( com > $o ) > com > $o ).
thf(func_def_155,type,
insert_pname: pname > ( pname > $o ) > pname > $o ).
thf(func_def_156,type,
insert528405184_state: hoare_1708887482_state > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(func_def_157,type,
the_elem_com: ( com > $o ) > com ).
thf(func_def_158,type,
the_elem_pname: ( pname > $o ) > pname ).
thf(func_def_159,type,
the_el864710747_state: ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_160,type,
vimage1943311875_state: ( pname > hoare_1708887482_state ) > ( hoare_1708887482_state > $o ) > pname > $o ).
thf(func_def_161,type,
fequal_pname_o: ( pname > $o ) > ( pname > $o ) > $o ).
thf(func_def_162,type,
fequal1436017556tate_o: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_163,type,
fequal_com: com > com > $o ).
thf(func_def_164,type,
fequal_pname: pname > pname > $o ).
thf(func_def_165,type,
fequal_state: state > state > $o ).
thf(func_def_166,type,
fequal224822779_state: hoare_1708887482_state > hoare_1708887482_state > $o ).
thf(func_def_167,type,
member_pname_o: ( pname > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(func_def_168,type,
member814030440tate_o: ( hoare_1708887482_state > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > $o ).
thf(func_def_169,type,
member_o: $o > ( $o > $o ) > $o ).
thf(func_def_170,type,
member_com: com > ( com > $o ) > $o ).
thf(func_def_171,type,
member_pname: pname > ( pname > $o ) > $o ).
thf(func_def_172,type,
member451959335_state: hoare_1708887482_state > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_173,type,
fa: hoare_1708887482_state > $o ).
thf(func_def_174,type,
pn: pname ).
thf(func_def_175,type,
y: com ).
thf(func_def_177,type,
vAND: $o > $o > $o ).
thf(func_def_178,type,
vIMP: $o > $o > $o ).
thf(func_def_179,type,
vNOT: $o > $o ).
thf(func_def_180,type,
vOR: $o > $o > $o ).
thf(func_def_183,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_184,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_185,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_186,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_187,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_188,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_189,type,
sK0: hoare_1708887482_state > $o ).
thf(func_def_190,type,
sK1: hoare_1708887482_state > $o ).
thf(func_def_191,type,
sK2: hoare_1708887482_state > $o ).
thf(func_def_192,type,
sK3: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > pname ) > ( pname > $o ) > ( pname > $o ) > $o ).
thf(func_def_193,type,
sK4: ( ( hoare_1708887482_state > $o ) > com ) > ( ( hoare_1708887482_state > $o ) > state > state > $o ) > ( ( hoare_1708887482_state > $o ) > state > state > $o ) > ( ( hoare_1708887482_state > $o ) > state > state > $o ) > ( ( hoare_1708887482_state > $o ) > state > state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(func_def_194,type,
sK5: ( pname > $o ) > ( ( hoare_1708887482_state > $o ) > pname ) > ( ( hoare_1708887482_state > $o ) > $o ) > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_195,type,
sK6: ( com > $o ) > ( ( com > $o ) > $o ) > com ).
thf(func_def_196,type,
sK7: ( com > $o ) > ( ( com > $o ) > $o ) > com > $o ).
thf(func_def_197,type,
sK8: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o ).
thf(func_def_198,type,
sK9: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state ).
thf(func_def_199,type,
sK10: ( pname > $o ) > ( pname > $o ) > ( pname > pname ) > pname > $o ).
thf(func_def_200,type,
sK11: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_201,type,
sK12: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_202,type,
sK13: option_com > com ).
thf(func_def_203,type,
sK14: ( ( pname > $o ) > $o ) > ( pname > $o ) > ( pname > pname > $o ) > pname > $o ).
thf(func_def_204,type,
sK15: option1624383643_state > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_205,type,
sK16: ( ( pname > $o ) > $o ) > ( pname > $o ) > pname > $o ).
thf(func_def_206,type,
sK17: ( ( pname > $o ) > $o ) > ( pname > $o ) > pname ).
thf(func_def_207,type,
sK18: ( ( pname > $o ) > $o ) > pname ).
thf(func_def_208,type,
sK19: ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_209,type,
sK20: hoare_1708887482_state > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(func_def_210,type,
sK21: pname > $o ).
thf(func_def_211,type,
sK22: pname > $o ).
thf(func_def_212,type,
sK23: pname > $o ).
thf(func_def_213,type,
sK24: ( ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(func_def_214,type,
sK25: ( ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(func_def_215,type,
sK26: ( hoare_1708887482_state > pname ) > ( hoare_1708887482_state > $o ) > ( pname > $o ) > hoare_1708887482_state ).
thf(func_def_216,type,
sK27: ( ( pname > $o ) > ( pname > $o ) > pname > $o ) > pname > $o ).
thf(func_def_217,type,
sK28: ( ( pname > $o ) > ( pname > $o ) > pname > $o ) > pname > $o ).
thf(func_def_218,type,
sK29: ( ( ( pname > $o ) > $o ) > $o ) > pname > $o ).
thf(func_def_219,type,
sK30: ( ( ( pname > $o ) > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_220,type,
sK31: ( ( ( pname > $o ) > $o ) > $o ) > pname > $o ).
thf(func_def_221,type,
sK32: ( hoare_1708887482_state > pname ) > ( pname > $o ) > ( pname > hoare_1708887482_state ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(func_def_222,type,
sK33: ( hoare_1708887482_state > pname ) > ( pname > $o ) > ( pname > hoare_1708887482_state ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > pname ).
thf(func_def_223,type,
sK34: ( hoare_1708887482_state > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state ).
thf(func_def_224,type,
sK35: ( hoare_1708887482_state > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o ).
thf(func_def_225,type,
sK36: ( ( ( hoare_1708887482_state > $o ) > $o ) > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o ).
thf(func_def_226,type,
sK37: ( ( ( hoare_1708887482_state > $o ) > $o ) > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_227,type,
sK38: ( $o > $o ) > $o ).
thf(func_def_228,type,
sK39: ( $o > $o ) > $o ).
thf(func_def_229,type,
sK40: pname > ( pname > option_pname ) > pname ).
thf(func_def_230,type,
sK41: ( pname > hoare_1708887482_state ) > hoare_1708887482_state > ( pname > $o ) > pname ).
thf(func_def_231,type,
sK42: ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_232,type,
sK43: ( ( pname > $o ) > $o ) > pname ).
thf(func_def_233,type,
sK44: ( pname > hoare_1708887482_state ) > hoare_1708887482_state > ( pname > $o ) > pname ).
thf(func_def_234,type,
sK45: ( ( com > $o ) > $o ) > com ).
thf(func_def_235,type,
sK46: ( ( com > $o ) > $o ) > com > $o ).
thf(func_def_236,type,
sK47: ( com > $o ) > com ).
thf(func_def_237,type,
sK48: ( com > $o ) > com > com > $o ).
thf(func_def_238,type,
sK49: ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_239,type,
sK50: ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(func_def_240,type,
sK51: ( com > $o ) > com ).
thf(func_def_241,type,
sK52: ( com > $o ) > ( com > pname ) > ( pname > $o ) > com ).
thf(func_def_242,type,
sK53: ( ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(func_def_243,type,
sK54: ( ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(func_def_244,type,
sK55: ( pname > $o ) > ( pname > hoare_1708887482_state ) > ( hoare_1708887482_state > $o ) > pname > $o ).
thf(func_def_245,type,
sK56: ( pname > hoare_1708887482_state ) > ( pname > $o ) > pname ).
thf(func_def_246,type,
sK57: hoare_1708887482_state > $o ).
thf(func_def_247,type,
sK58: hoare_1708887482_state > $o ).
thf(func_def_248,type,
sK59: hoare_1708887482_state > $o ).
thf(func_def_249,type,
sK60: ( com > $o ) > ( com > $o ) > com ).
thf(func_def_250,type,
sK61: ( com > $o ) > ( com > $o ) > com ).
thf(func_def_251,type,
sK62: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_252,type,
sK63: pname > ( pname > option_com ) > com ).
thf(func_def_253,type,
sK64: ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_254,type,
sK65: state > state > ( state > $o ) > com > state ).
thf(func_def_255,type,
sK66: ( hoare_1708887482_state > $o ) > ( pname > $o ) > ( pname > hoare_1708887482_state ) > pname ).
thf(func_def_256,type,
sK67: ( ( hoare_1708887482_state > $o ) > pname ) > ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o ).
thf(func_def_257,type,
sK68: ( hoare_1708887482_state > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > ( ( hoare_1708887482_state > $o ) > hoare_1708887482_state ) > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_258,type,
sK69: ( hoare_1708887482_state > $o ) > pname ).
thf(func_def_259,type,
sK70: option_com > com ).
thf(func_def_260,type,
sK71: ( ( pname > $o ) > state > state > $o ) > ( hoare_1708887482_state > $o ) > ( ( pname > $o ) > com ) > ( ( pname > $o ) > state > state > $o ) > ( ( pname > $o ) > state > state > $o ) > ( ( pname > $o ) > state > state > $o ) > pname > $o ).
thf(func_def_261,type,
sK72: state ).
thf(func_def_262,type,
sK73: state ).
thf(func_def_263,type,
sK74: ( pname > hoare_1708887482_state ) > ( pname > $o ) > ( pname > hoare_1708887482_state ) > pname ).
thf(func_def_264,type,
sK75: ( pname > $o ) > pname ).
thf(func_def_265,type,
sK76: ( com > pname ) > ( com > $o ) > com ).
thf(func_def_266,type,
sK77: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_267,type,
sK78: pname > ( pname > option_com ) > com ).
thf(func_def_268,type,
sK79: ( hoare_1708887482_state > $o ) > ( pname > $o ) > hoare_1708887482_state > pname ).
thf(func_def_269,type,
sK80: ( hoare_1708887482_state > $o ) > ( pname > $o ) > pname > hoare_1708887482_state ).
thf(func_def_270,type,
sK81: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > com ) > com > hoare_1708887482_state ).
thf(func_def_271,type,
sK82: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o ).
thf(func_def_272,type,
sK83: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state ).
thf(func_def_273,type,
sK84: ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_274,type,
sK85: ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_275,type,
sK86: ( pname > pname > pname ) > pname ).
thf(func_def_276,type,
sK87: ( pname > pname > pname ) > pname ).
thf(func_def_277,type,
sK88: ( com > $o ) > com ).
thf(func_def_278,type,
sK89: ( pname > $o ) > pname ).
thf(func_def_279,type,
sK90: ( com > com > com ) > com ).
thf(func_def_280,type,
sK91: ( com > com > com ) > com ).
thf(func_def_281,type,
sK92: ( state > state > $o ) > ( state > state > $o ) > state ).
thf(func_def_282,type,
sK93: ( state > state > $o ) > ( state > state > $o ) > state ).
thf(func_def_283,type,
sK94: ( ( ( pname > $o ) > $o ) > $o ) > pname > $o ).
thf(func_def_284,type,
sK95: ( ( ( pname > $o ) > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_285,type,
sK96: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > pname ) > pname > $o ).
thf(func_def_286,type,
sK97: ( pname > com ) > ( pname > state > state > $o ) > ( pname > state > state > $o ) > ( pname > state > state > $o ) > ( pname > state > state > $o ) > ( hoare_1708887482_state > $o ) > pname ).
thf(func_def_287,type,
sK98: ( com > $o ) > com ).
thf(func_def_288,type,
sK99: ( hoare_1708887482_state > option_pname ) > hoare_1708887482_state > pname ).
thf(func_def_289,type,
sK100: ( com > $o ) > com > $o ).
thf(func_def_290,type,
sK101: ( com > $o ) > com ).
thf(func_def_291,type,
sK102: ( pname > $o ) > pname ).
thf(func_def_292,type,
sK103: option1624383643_state > hoare_1708887482_state ).
thf(func_def_293,type,
sK104: ( hoare_1708887482_state > $o ) > ( com > hoare_1708887482_state ) > ( com > $o ) > com ).
thf(func_def_294,type,
sK105: ( pname > option1624383643_state ) > pname > hoare_1708887482_state ).
thf(func_def_295,type,
sK106: ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_296,type,
sK107: ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_297,type,
sK108: ( pname > $o ) > ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_298,type,
sK109: ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_299,type,
sK110: ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_300,type,
sK111: ( state > state > $o ) > ( state > state > $o ) > ( state > state > $o ) > ( state > state > $o ) > state ).
thf(func_def_301,type,
sK112: ( state > state > $o ) > ( state > state > $o ) > ( state > state > $o ) > ( state > state > $o ) > state ).
thf(func_def_302,type,
sK113: ( state > state > $o ) > ( state > state > $o ) > ( state > state > $o ) > ( state > state > $o ) > state ).
thf(func_def_303,type,
sK114: ( pname > hoare_1708887482_state > $o ) > ( pname > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > pname > $o ).
thf(func_def_304,type,
sK115: ( pname > $o ) > ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_305,type,
sK116: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o ).
thf(func_def_306,type,
sK117: ( pname > pname ) > ( pname > $o ) > pname ).
thf(func_def_307,type,
sK118: ( com > $o ) > com > com > $o ).
thf(func_def_308,type,
sK119: $o ).
thf(func_def_309,type,
sK120: $o ).
thf(func_def_310,type,
sK121: $o ).
thf(func_def_311,type,
sK122: ( hoare_1708887482_state > $o ) > ( pname > hoare_1708887482_state ) > ( pname > $o ) > pname > $o ).
thf(func_def_312,type,
sK123: ( ( ( pname > $o ) > $o ) > $o ) > pname > $o ).
thf(func_def_313,type,
sK124: ( ( ( pname > $o ) > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_314,type,
sK125: ( hoare_1708887482_state > pname ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_315,type,
sK126: ( pname > pname ) > ( pname > pname > pname ) > pname ).
thf(func_def_316,type,
sK127: ( pname > pname ) > ( pname > pname > pname ) > pname ).
thf(func_def_317,type,
sK128: ( state > state > $o ) > ( state > state > $o ) > state ).
thf(func_def_318,type,
sK129: ( state > state > $o ) > ( state > state > $o ) > state ).
thf(func_def_319,type,
sK130: ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_320,type,
sK131: ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_321,type,
sK132: ( ( pname > $o ) > $o ) > pname ).
thf(func_def_322,type,
sK133: ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_323,type,
sK134: ( ( pname > $o ) > $o ) > pname ).
thf(func_def_324,type,
sK135: hoare_1708887482_state > state > state > $o ).
thf(func_def_325,type,
sK136: hoare_1708887482_state > state > state > $o ).
thf(func_def_326,type,
sK137: hoare_1708887482_state > com ).
thf(func_def_327,type,
sK138: ( pname > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > pname ).
thf(func_def_328,type,
sK139: ( pname > $o ) > ( hoare_1708887482_state > $o ) > pname > hoare_1708887482_state ).
thf(func_def_329,type,
sK140: ( pname > $o ) > pname > pname > $o ).
thf(func_def_330,type,
sK141: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_331,type,
sK142: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_332,type,
sK143: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_333,type,
sK144: ( ( pname > $o ) > $o ) > ( ( ( pname > $o ) > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_334,type,
sK145: ( ( pname > $o ) > $o ) > ( ( ( pname > $o ) > $o ) > $o ) > pname > $o ).
thf(func_def_335,type,
sK146: option_com > com ).
thf(func_def_336,type,
sK147: ( com > option_com ) > com > com ).
thf(func_def_337,type,
sK148: option_pname > pname ).
thf(func_def_338,type,
sK149: ( ( hoare_1708887482_state > $o ) > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o ).
thf(func_def_339,type,
sK150: option_pname > pname ).
thf(func_def_340,type,
sK151: state > state > com > com > state ).
thf(func_def_341,type,
sK152: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_342,type,
sK153: ( com > $o ) > com ).
thf(func_def_343,type,
sK154: ( $o > $o ) > $o > $o ).
thf(func_def_344,type,
sK155: pname > com ).
thf(func_def_345,type,
sK156: ( ( pname > $o ) > pname > $o ) > ( ( pname > $o ) > ( pname > $o ) > pname > $o ) > pname > $o ).
thf(func_def_346,type,
sK157: ( ( pname > $o ) > pname > $o ) > ( ( pname > $o ) > ( pname > $o ) > pname > $o ) > pname > $o ).
thf(func_def_347,type,
sK158: ( pname > $o ) > pname > pname > $o ).
thf(func_def_348,type,
sK159: ( ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > ( ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(func_def_349,type,
sK160: ( ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > ( ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(func_def_350,type,
sK161: ( state > state > $o ) > com > ( state > state > $o ) > ( hoare_1708887482_state > $o ) > state ).
thf(func_def_351,type,
sK162: ( state > state > $o ) > com > ( state > state > $o ) > ( hoare_1708887482_state > $o ) > state ).
thf(func_def_352,type,
sK163: ( state > state > $o ) > ( state > state > $o ) > ( state > state > $o ) > com > ( state > state > $o ) > ( hoare_1708887482_state > $o ) > state ).
thf(func_def_353,type,
sK164: ( hoare_1708887482_state > pname > $o ) > ( hoare_1708887482_state > $o ) > ( ( pname > $o ) > $o ) > hoare_1708887482_state > $o ).
thf(func_def_354,type,
sK165: ( pname > $o ) > ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_355,type,
sK166: ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_356,type,
sK167: ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_357,type,
sK168: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state ).
thf(func_def_358,type,
sK169: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o ).
thf(func_def_359,type,
sK170: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state ).
thf(func_def_360,type,
sK171: ( hoare_1708887482_state > pname > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_361,type,
sK172: ( pname > $o ) > ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_362,type,
sK173: ( hoare_1708887482_state > com ) > ( hoare_1708887482_state > $o ) > ( com > $o ) > hoare_1708887482_state ).
thf(func_def_363,type,
sK174: ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_364,type,
sK175: ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_365,type,
sK176: ( ( ( hoare_1708887482_state > $o ) > $o ) > $o ) > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_366,type,
sK177: ( ( ( hoare_1708887482_state > $o ) > $o ) > $o ) > hoare_1708887482_state > $o ).
thf(func_def_367,type,
sK178: ( pname > $o ) > ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_368,type,
sK179: $o > ( $o > $o ) > $o ).
thf(func_def_369,type,
sK180: ( pname > $o ) > pname > $o ).
thf(func_def_370,type,
sK181: ( pname > $o ) > pname ).
thf(func_def_371,type,
sK182: ( hoare_1708887482_state > hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_372,type,
sK183: ( pname > $o ) > ( pname > pname ) > ( pname > $o ) > pname ).
thf(func_def_373,type,
sK184: $o ).
thf(func_def_374,type,
sK185: $o ).
thf(func_def_375,type,
sK186: $o ).
thf(func_def_376,type,
sK187: option1624383643_state > hoare_1708887482_state ).
thf(func_def_377,type,
sK188: ( $o > $o ) > $o ).
thf(func_def_378,type,
sK189: ( $o > $o ) > $o ).
thf(func_def_379,type,
sK190: ( pname > $o ) > pname ).
thf(func_def_380,type,
sK191: ( com > $o ) > ( com > hoare_1708887482_state ) > hoare_1708887482_state > com ).
thf(func_def_381,type,
sK192: ( ( hoare_1708887482_state > $o ) > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o ).
thf(func_def_382,type,
sK193: pname > $o ).
thf(func_def_383,type,
sK194: pname > $o ).
thf(func_def_384,type,
sK195: pname > $o ).
thf(func_def_385,type,
sK196: ( ( hoare_1708887482_state > $o ) > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(func_def_386,type,
sK197: ( com > $o ) > ( com > $o ) > ( com > $o ) > com ).
thf(func_def_387,type,
sK198: ( ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(func_def_388,type,
sK199: ( ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(func_def_389,type,
sK200: ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_390,type,
sK201: ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_391,type,
sK202: ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(func_def_392,type,
sK203: hoare_1708887482_state > ( hoare_1708887482_state > option1624383643_state ) > hoare_1708887482_state ).
thf(func_def_393,type,
sK204: ( hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state ) > hoare_1708887482_state ).
thf(func_def_394,type,
sK205: ( hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state ) > hoare_1708887482_state ).
thf(func_def_395,type,
sK206: ( hoare_1708887482_state > pname ) > ( pname > hoare_1708887482_state ) > ( hoare_1708887482_state > $o ) > ( pname > $o ) > pname > $o ).
thf(func_def_396,type,
sK207: ( hoare_1708887482_state > pname ) > ( pname > hoare_1708887482_state ) > ( hoare_1708887482_state > $o ) > ( pname > $o ) > pname > hoare_1708887482_state ).
thf(func_def_397,type,
sK208: ( state > state > $o ) > ( state > state > $o ) > com > ( hoare_1708887482_state > $o ) > state ).
thf(func_def_398,type,
sK209: ( state > state > $o ) > ( state > state > $o ) > com > ( hoare_1708887482_state > $o ) > state ).
thf(func_def_399,type,
sK210: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_400,type,
sK211: ( com > hoare_1708887482_state ) > ( com > $o ) > com ).
thf(func_def_401,type,
sK212: ( pname > $o ) > pname ).
thf(func_def_402,type,
sK213: ( ( pname > $o ) > pname > $o ) > pname > $o ).
thf(func_def_403,type,
sK214: ( ( pname > $o ) > pname > $o ) > pname > $o ).
thf(func_def_404,type,
sK215: state > state ).
thf(func_def_405,type,
sK216: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o ).
thf(func_def_406,type,
sK217: ( ( hoare_1708887482_state > $o ) > $o ) > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_407,type,
sK218: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > hoare_1708887482_state ) > hoare_1708887482_state ).
thf(func_def_408,type,
sK219: hoare_1708887482_state > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(func_def_409,type,
sK220: ( ( ( hoare_1708887482_state > $o ) > $o ) > $o ) > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_410,type,
sK221: ( ( ( hoare_1708887482_state > $o ) > $o ) > $o ) > hoare_1708887482_state > $o ).
thf(func_def_411,type,
sK222: ( hoare_1708887482_state > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o ).
thf(func_def_412,type,
sK223: ( com > $o ) > com > $o ).
thf(func_def_413,type,
sK224: ( com > $o ) > com ).
thf(func_def_414,type,
sK225: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > hoare_1708887482_state ) > pname > $o ).
thf(func_def_415,type,
sK226: ( pname > option_com ) > pname ).
thf(func_def_416,type,
sK227: ( com > com > com ) > ( com > com ) > com ).
thf(func_def_417,type,
sK228: ( com > com > com ) > ( com > com ) > com ).
thf(func_def_418,type,
sK229: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > hoare_1708887482_state > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o ).
thf(func_def_419,type,
sK230: ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_420,type,
sK231: ( hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state ) > ( hoare_1708887482_state > hoare_1708887482_state ) > hoare_1708887482_state ).
thf(func_def_421,type,
sK232: ( hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state ) > ( hoare_1708887482_state > hoare_1708887482_state ) > hoare_1708887482_state ).
thf(func_def_422,type,
sK233: ( ( pname > $o ) > pname > $o ) > pname > $o ).
thf(func_def_423,type,
sK234: ( ( pname > $o ) > pname > $o ) > pname > $o ).
thf(func_def_424,type,
sK235: ( pname > $o ) > pname ).
thf(func_def_425,type,
sK236: ( pname > $o ) > pname > $o ).
thf(func_def_426,type,
sK237: ( ( com > $o ) > $o ) > com ).
thf(func_def_427,type,
sK238: ( ( com > $o ) > $o ) > com > $o ).
thf(func_def_428,type,
sK239: ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_429,type,
sK240: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > pname ) > ( pname > $o ) > hoare_1708887482_state > $o ).
thf(func_def_430,type,
sK241: ( com > $o ) > ( com > $o ) > com ).
thf(func_def_431,type,
sK242: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_432,type,
sK243: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_433,type,
sK244: ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_434,type,
sK245: ( ( hoare_1708887482_state > $o ) > $o ) > ( ( hoare_1708887482_state > $o ) > hoare_1708887482_state ) > hoare_1708887482_state > $o ).
thf(func_def_435,type,
sK246: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o ).
thf(func_def_436,type,
sK247: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_437,type,
sK248: ( com > $o ) > option_com > com ).
thf(func_def_438,type,
sK249: ( ( ( hoare_1708887482_state > $o ) > $o ) > $o ) > hoare_1708887482_state > $o ).
thf(func_def_439,type,
sK250: ( ( ( hoare_1708887482_state > $o ) > $o ) > $o ) > ( hoare_1708887482_state > $o ) > $o ).
thf(func_def_440,type,
sK251: ( ( ( hoare_1708887482_state > $o ) > $o ) > $o ) > hoare_1708887482_state > $o ).
thf(func_def_441,type,
sK252: ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_442,type,
sK253: ( pname > $o ) > ( pname > com ) > ( com > $o ) > pname ).
thf(func_def_443,type,
sK254: option1624383643_state > hoare_1708887482_state ).
thf(func_def_444,type,
sK255: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_445,type,
sK256: ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_446,type,
sK257: ( hoare_1708887482_state > pname ) > ( hoare_1708887482_state > $o ) > ( pname > $o ) > hoare_1708887482_state > $o ).
thf(func_def_447,type,
sK258: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_448,type,
sK259: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_449,type,
sK260: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_450,type,
sK261: ( pname > $o ) > ( pname > hoare_1708887482_state > $o ) > pname ).
thf(func_def_451,type,
sK262: ( ( pname > $o ) > hoare_1708887482_state ) > ( ( pname > $o ) > $o ) > ( hoare_1708887482_state > $o ) > ( pname > $o ) > $o ).
thf(func_def_452,type,
sK263: ( com > pname ) > ( com > $o ) > pname > com ).
thf(func_def_453,type,
sK264: ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_454,type,
sK265: option_pname > ( pname > $o ) > pname ).
thf(func_def_455,type,
sK266: ( pname > $o ) > com > ( pname > com ) > pname ).
thf(func_def_456,type,
sK267: ( ( com > $o ) > $o ) > com > $o ).
thf(func_def_457,type,
sK268: ( ( com > $o ) > $o ) > com ).
thf(func_def_458,type,
sK269: ( ( com > $o ) > $o ) > com ).
thf(func_def_459,type,
sK270: ( pname > $o ) > ( pname > pname > $o ) > pname ).
thf(func_def_460,type,
sK271: option_pname > pname ).
thf(func_def_462,type,
sK273: hoare_1708887482_state > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_463,type,
sK274: ( pname > hoare_1708887482_state ) > ( pname > $o ) > hoare_1708887482_state ).
thf(func_def_464,type,
sK275: hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state ).
thf(func_def_465,type,
sK276: ( hoare_1708887482_state > $o ) > hoare_1708887482_state > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
thf(func_def_466,type,
sK277: hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state ).
thf(func_def_467,type,
sK278: hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state ).
thf(f1,axiom,
! [X0: hoare_1708887482_state > $o] : ( hoare_90032982_state @ X0 @ bot_bo19817387tate_o ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).
thf(f5,axiom,
! [X0: hoare_1708887482_state > $o,X2: hoare_1708887482_state > $o,X1: hoare_1708887482_state > $o] :
( ( hoare_90032982_state @ X1 @ X2 )
=> ( ( hoare_90032982_state @ X0 @ X1 )
=> ( hoare_90032982_state @ X0 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cut) ).
thf(f67,axiom,
! [X0: com] :
( hoare_1160767572gleton
=> ( wT_bodies
=> ( ( wt @ X0 )
=> ( hoare_90032982_state @ bot_bo19817387tate_o @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo19817387tate_o ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_MGF) ).
thf(f298,axiom,
! [X1: com,X0: pname] :
( wT_bodies
=> ( ( ( body @ X0 )
= ( some_com @ X1 ) )
=> ( wt @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_297_WT__bodiesD) ).
thf(f1218,axiom,
hoare_1160767572gleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f1219,axiom,
wT_bodies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(f1223,axiom,
( ( body @ pn )
= ( some_com @ y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
thf(f1225,conjecture,
( hoare_90032982_state
@ ( image_1116629049_state
@ ^ [X0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ X0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo19817387tate_o ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).
thf(f1226,negated_conjecture,
~ ( hoare_90032982_state
@ ( image_1116629049_state
@ ^ [X0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ X0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo19817387tate_o ) ),
inference(negated_conjecture,[status(cth)],[f1225]) ).
thf(f1431,plain,
wT_bodies,
inference(rectify,[],[f1219]) ).
thf(f1432,plain,
wT_bodies = $true,
inference(fool_elimination,[],[f1431]) ).
thf(f1683,plain,
! [X0: hoare_1708887482_state > $o,X1: hoare_1708887482_state > $o,X2: hoare_1708887482_state > $o] :
( ( hoare_90032982_state @ X2 @ X1 )
=> ( ( hoare_90032982_state @ X0 @ X2 )
=> ( hoare_90032982_state @ X0 @ X1 ) ) ),
inference(rectify,[],[f5]) ).
thf(f1684,plain,
! [X0: hoare_1708887482_state > $o,X2: hoare_1708887482_state > $o,X1: hoare_1708887482_state > $o] :
( ( $true
= ( hoare_90032982_state @ X2 @ X1 ) )
=> ( ( ( hoare_90032982_state @ X0 @ X2 )
= $true )
=> ( ( hoare_90032982_state @ X0 @ X1 )
= $true ) ) ),
inference(fool_elimination,[],[f1683]) ).
thf(f1883,plain,
! [X0: com] :
( hoare_1160767572gleton
=> ( wT_bodies
=> ( ( wt @ X0 )
=> ( hoare_90032982_state @ bot_bo19817387tate_o @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo19817387tate_o ) ) ) ) ),
inference(rectify,[],[f67]) ).
thf(f1884,plain,
! [X0: com] :
( ( hoare_1160767572gleton = $true )
=> ( ( wT_bodies = $true )
=> ( ( ( wt @ X0 )
= $true )
=> ( ( hoare_90032982_state @ bot_bo19817387tate_o @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo19817387tate_o ) )
= $true ) ) ) ),
inference(fool_elimination,[],[f1883]) ).
thf(f2153,plain,
hoare_1160767572gleton,
inference(rectify,[],[f1218]) ).
thf(f2154,plain,
hoare_1160767572gleton = $true,
inference(fool_elimination,[],[f2153]) ).
thf(f2316,plain,
! [X0: hoare_1708887482_state > $o] : ( hoare_90032982_state @ X0 @ bot_bo19817387tate_o ),
inference(rectify,[],[f1]) ).
thf(f2317,plain,
! [X0: hoare_1708887482_state > $o] :
( ( hoare_90032982_state @ X0 @ bot_bo19817387tate_o )
= $true ),
inference(fool_elimination,[],[f2316]) ).
thf(f2340,plain,
! [X0: com,X1: pname] :
( wT_bodies
=> ( ( ( some_com @ X0 )
= ( body @ X1 ) )
=> ( wt @ X0 ) ) ),
inference(rectify,[],[f298]) ).
thf(f2341,plain,
! [X0: com,X1: pname] :
( ( wT_bodies = $true )
=> ( ( ( some_com @ X0 )
= ( body @ X1 ) )
=> ( ( wt @ X0 )
= $true ) ) ),
inference(fool_elimination,[],[f2340]) ).
thf(f2997,plain,
~ ( hoare_90032982_state
@ ( image_1116629049_state
@ ^ [X0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ X0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo19817387tate_o ) ),
inference(rectify,[],[f1226]) ).
thf(f2998,plain,
( $true
!= ( hoare_90032982_state
@ ( image_1116629049_state
@ ^ [Y0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Y0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo19817387tate_o ) ) ),
inference(fool_elimination,[],[f2997]) ).
thf(f3424,plain,
( $true
!= ( hoare_90032982_state
@ ( image_1116629049_state
@ ^ [Y0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Y0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo19817387tate_o ) ) ),
inference(flattening,[],[f2998]) ).
thf(f3585,plain,
! [X0: hoare_1708887482_state > $o,X2: hoare_1708887482_state > $o,X1: hoare_1708887482_state > $o] :
( ( ( hoare_90032982_state @ X0 @ X1 )
= $true )
| ( ( hoare_90032982_state @ X0 @ X2 )
!= $true )
| ( $true
!= ( hoare_90032982_state @ X2 @ X1 ) ) ),
inference(ennf_transformation,[],[f1684]) ).
thf(f3586,plain,
! [X0: hoare_1708887482_state > $o,X2: hoare_1708887482_state > $o,X1: hoare_1708887482_state > $o] :
( ( $true
!= ( hoare_90032982_state @ X2 @ X1 ) )
| ( ( hoare_90032982_state @ X0 @ X1 )
= $true )
| ( ( hoare_90032982_state @ X0 @ X2 )
!= $true ) ),
inference(flattening,[],[f3585]) ).
thf(f3917,plain,
! [X0: com] :
( ( ( hoare_90032982_state @ bot_bo19817387tate_o @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo19817387tate_o ) )
= $true )
| ( ( wt @ X0 )
!= $true )
| ( wT_bodies != $true )
| ( hoare_1160767572gleton != $true ) ),
inference(ennf_transformation,[],[f1884]) ).
thf(f3918,plain,
! [X0: com] :
( ( ( hoare_90032982_state @ bot_bo19817387tate_o @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo19817387tate_o ) )
= $true )
| ( hoare_1160767572gleton != $true )
| ( ( wt @ X0 )
!= $true )
| ( wT_bodies != $true ) ),
inference(flattening,[],[f3917]) ).
thf(f4091,plain,
! [X0: com,X1: pname] :
( ( ( wt @ X0 )
= $true )
| ( ( some_com @ X0 )
!= ( body @ X1 ) )
| ( wT_bodies != $true ) ),
inference(ennf_transformation,[],[f2341]) ).
thf(f4092,plain,
! [X0: com,X1: pname] :
( ( wT_bodies != $true )
| ( ( wt @ X0 )
= $true )
| ( ( some_com @ X0 )
!= ( body @ X1 ) ) ),
inference(flattening,[],[f4091]) ).
thf(f4908,plain,
! [X0: hoare_1708887482_state > $o,X1: hoare_1708887482_state > $o,X2: hoare_1708887482_state > $o] :
( ( ( hoare_90032982_state @ X1 @ X2 )
!= $true )
| ( ( hoare_90032982_state @ X0 @ X2 )
= $true )
| ( ( hoare_90032982_state @ X0 @ X1 )
!= $true ) ),
inference(rectify,[],[f3586]) ).
thf(f5720,plain,
! [X0: com,X1: pname] :
( ( ( some_com @ X0 )
!= ( body @ X1 ) )
| ( wT_bodies != $true )
| ( ( wt @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f4092]) ).
thf(f5822,plain,
hoare_1160767572gleton = $true,
inference(cnf_transformation,[],[f2154]) ).
thf(f6014,plain,
wT_bodies = $true,
inference(cnf_transformation,[],[f1432]) ).
thf(f6220,plain,
( ( body @ pn )
= ( some_com @ y ) ),
inference(cnf_transformation,[],[f1223]) ).
thf(f6350,plain,
! [X2: hoare_1708887482_state > $o,X0: hoare_1708887482_state > $o,X1: hoare_1708887482_state > $o] :
( ( ( hoare_90032982_state @ X1 @ X2 )
!= $true )
| ( ( hoare_90032982_state @ X0 @ X2 )
= $true )
| ( ( hoare_90032982_state @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f4908]) ).
thf(f6380,plain,
! [X0: hoare_1708887482_state > $o] :
( ( hoare_90032982_state @ X0 @ bot_bo19817387tate_o )
= $true ),
inference(cnf_transformation,[],[f2317]) ).
thf(f7016,plain,
! [X0: com] :
( ( hoare_1160767572gleton != $true )
| ( ( hoare_90032982_state @ bot_bo19817387tate_o @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo19817387tate_o ) )
= $true )
| ( wT_bodies != $true )
| ( ( wt @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f3918]) ).
thf(f7207,plain,
( $true
!= ( hoare_90032982_state
@ ( image_1116629049_state
@ ^ [Y0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Y0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo19817387tate_o ) ) ),
inference(cnf_transformation,[],[f3424]) ).
thf(f7811,definition,
( spl272_15
<=> ( hoare_1160767572gleton = $true ) ),
introduced(definition,[new_symbols(definition,[spl272_15])],[avatar_definition]) ).
thf(f7862,definition,
( spl272_27
<=> ( wT_bodies = $true ) ),
introduced(definition,[new_symbols(definition,[spl272_27])],[avatar_definition]) ).
thf(f7866,definition,
( spl272_28
<=> ! [X0: com] :
( ( ( hoare_90032982_state @ bot_bo19817387tate_o @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo19817387tate_o ) )
= $true )
| ( ( wt @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl272_28])],[avatar_definition]) ).
thf(f7867,plain,
( ! [X0: com] :
( ( ( wt @ X0 )
!= $true )
| ( ( hoare_90032982_state @ bot_bo19817387tate_o @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo19817387tate_o ) )
= $true ) )
| ~ spl272_28 ),
inference(avatar_component_clause,[],[f7866]) ).
thf(f7868,plain,
( ~ spl272_15
| ~ spl272_27
| spl272_28 ),
inference(avatar_split_clause,[],[f7016,f7866,f7862,f7811]) ).
thf(f7995,plain,
spl272_27,
inference(avatar_split_clause,[],[f6014,f7862]) ).
thf(f8075,plain,
spl272_15,
inference(avatar_split_clause,[],[f5822,f7811]) ).
thf(f8082,definition,
( spl272_74
<=> ( ( body @ pn )
= ( some_com @ y ) ) ),
introduced(definition,[new_symbols(definition,[spl272_74])],[avatar_definition]) ).
thf(f8084,plain,
( ( ( body @ pn )
= ( some_com @ y ) )
| ~ spl272_74 ),
inference(avatar_component_clause,[],[f8082]) ).
thf(f8085,plain,
spl272_74,
inference(avatar_split_clause,[],[f6220,f8082]) ).
thf(f8095,definition,
( spl272_77
<=> ! [X0: com,X1: pname] :
( ( ( some_com @ X0 )
!= ( body @ X1 ) )
| ( ( wt @ X0 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl272_77])],[avatar_definition]) ).
thf(f8096,plain,
( ! [X0: com,X1: pname] :
( ( ( some_com @ X0 )
!= ( body @ X1 ) )
| ( ( wt @ X0 )
= $true ) )
| ~ spl272_77 ),
inference(avatar_component_clause,[],[f8095]) ).
thf(f8097,plain,
( spl272_77
| ~ spl272_27 ),
inference(avatar_split_clause,[],[f5720,f7862,f8095]) ).
thf(f8108,definition,
( spl272_80
<=> ( $true
= ( hoare_90032982_state
@ ( image_1116629049_state
@ ^ [Y0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Y0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo19817387tate_o ) ) ) ),
introduced(definition,[new_symbols(definition,[spl272_80])],[avatar_definition]) ).
thf(f8110,plain,
( ( $true
!= ( hoare_90032982_state
@ ( image_1116629049_state
@ ^ [Y0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Y0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo19817387tate_o ) ) )
| spl272_80 ),
inference(avatar_component_clause,[],[f8108]) ).
thf(f8111,plain,
~ spl272_80,
inference(avatar_split_clause,[],[f7207,f8108]) ).
thf(f8264,plain,
( ( $true
!= ( hoare_90032982_state @ bot_bo19817387tate_o @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo19817387tate_o ) ) )
| spl272_80 ),
inference(unit_resulting_resolution,[],[f6350,f6380,f8110]) ).
thf(f8269,definition,
( spl272_92
<=> ( $true
= ( hoare_90032982_state @ bot_bo19817387tate_o @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo19817387tate_o ) ) ) ),
introduced(definition,[new_symbols(definition,[spl272_92])],[avatar_definition]) ).
thf(f8271,plain,
( ( $true
!= ( hoare_90032982_state @ bot_bo19817387tate_o @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo19817387tate_o ) ) )
| spl272_92 ),
inference(avatar_component_clause,[],[f8269]) ).
thf(f8272,plain,
( ~ spl272_92
| spl272_80 ),
inference(avatar_split_clause,[],[f8264,f8108,f8269]) ).
thf(f8287,plain,
( ( $true
!= ( wt @ y ) )
| ~ spl272_28
| spl272_92 ),
inference(unit_resulting_resolution,[],[f7867,f8271]) ).
thf(f8296,definition,
( spl272_93
<=> ( $true
= ( wt @ y ) ) ),
introduced(definition,[new_symbols(definition,[spl272_93])],[avatar_definition]) ).
thf(f8298,plain,
( ( $true
!= ( wt @ y ) )
| spl272_93 ),
inference(avatar_component_clause,[],[f8296]) ).
thf(f8299,plain,
( ~ spl272_93
| ~ spl272_28
| spl272_92 ),
inference(avatar_split_clause,[],[f8287,f8269,f7866,f8296]) ).
thf(f8674,plain,
( ( $true
= ( wt @ y ) )
| ~ spl272_74
| ~ spl272_77 ),
inference(unit_resulting_resolution,[],[f8096,f8084]) ).
thf(f8678,plain,
( $false
| ~ spl272_74
| ~ spl272_77
| spl272_93 ),
inference(forward_subsumption_resolution,[],[f8674,f8298]) ).
thf(f8679,plain,
( ~ spl272_74
| ~ spl272_77
| spl272_93 ),
inference(avatar_contradiction_clause,[],[f8678]) ).
cnf(s24,plain,
( ~ spl272_15
| ~ spl272_27
| spl272_28 ),
inference(sat_conversion,[],[f7868]) ).
cnf(s57,plain,
spl272_27,
inference(sat_conversion,[],[f7995]) ).
cnf(s74,plain,
spl272_15,
inference(sat_conversion,[],[f8075]) ).
cnf(s76,plain,
spl272_74,
inference(sat_conversion,[],[f8085]) ).
cnf(s81,plain,
( ~ spl272_27
| spl272_77 ),
inference(sat_conversion,[],[f8097]) ).
cnf(s84,plain,
~ spl272_80,
inference(sat_conversion,[],[f8111]) ).
cnf(s113,plain,
( spl272_80
| ~ spl272_92 ),
inference(sat_conversion,[],[f8272]) ).
cnf(s115,plain,
( ~ spl272_28
| spl272_92
| ~ spl272_93 ),
inference(sat_conversion,[],[f8299]) ).
cnf(s121,plain,
( ~ spl272_74
| ~ spl272_77
| spl272_93 ),
inference(sat_conversion,[],[f8679]) ).
cnf(s123,plain,
~ spl272_92,
inference(rat,[],[s113,s84]) ).
cnf(s132,plain,
spl272_77,
inference(rat,[],[s81,s57]) ).
cnf(s133,plain,
spl272_93,
inference(rat,[],[s121,s76,s132]) ).
cnf(s134,plain,
~ spl272_28,
inference(rat,[],[s115,s123,s133]) ).
cnf(s135,plain,
$false,
inference(rat,[],[s24,s134,s57,s74]) ).
thf(f8682,plain,
$false,
inference(avatar_sat_refutation,[],[s135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW474^3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n020.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 16:07:05 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running higher-order theorem proving
% 0.31/0.45 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.62 % (1230019)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.51/0.62 % (1230047)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4024702949:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.51/0.62 % (1230049)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.51/0.62 % (1230049)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
% 0.51/0.62 % (1230043)lrs+10_16_si=on:nwc=1.5:random_seed=3908975363:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.51/0.62 % (1230042)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3517184404:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.51/0.62 % (1230044)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3777760710:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.51/0.62 % (1230047)Instruction limit reached!
% 0.51/0.62 % (1230047)------------------------------
% 0.51/0.62 % (1230047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.62 % (1230047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.62 % (1230047)CaDiCaL version: 2.1.3
% 0.51/0.62 % (1230047)Termination reason: Instruction limit
% 0.51/0.62 % (1230047)Termination phase: shuffling
% 0.51/0.62 % (1230047)Time elapsed: 0.007 s
% 0.51/0.62 % (1230047)Peak memory usage: 12 MB
% 0.51/0.62 % (1230047)Instructions burned: 25 (million)
% 0.51/0.62 % (1230048)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=82683401:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.51/0.62 % (1230046)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=2284675156: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)
% 0.51/0.62 % (1230049)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=810358602:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.51/0.62 % (1230044)Instruction limit reached!
% 0.51/0.62 % (1230044)------------------------------
% 0.51/0.62 % (1230044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.62 % (1230044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.62 % (1230044)CaDiCaL version: 2.1.3
% 0.51/0.62 % (1230044)Termination reason: Instruction limit
% 0.51/0.62 % (1230044)Termination phase: shuffling
% 0.51/0.62 % (1230044)Time elapsed: 0.003 s
% 0.51/0.62 % (1230044)Peak memory usage: 11 MB
% 0.51/0.62 % (1230044)Instructions burned: 5 (million)
% 0.51/0.62 % (1230043)Instruction limit reached!
% 0.51/0.62 % (1230043)------------------------------
% 0.51/0.62 % (1230043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.62 % (1230043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.62 % (1230043)CaDiCaL version: 2.1.3
% 0.51/0.62 % (1230043)Termination reason: Instruction limit
% 0.51/0.62 % (1230043)Termination phase: shuffling
% 0.51/0.62 % (1230043)Time elapsed: 0.010 s
% 0.51/0.62 % (1230043)Peak memory usage: 12 MB
% 0.51/0.62 % (1230043)Instructions burned: 20 (million)
% 0.51/0.62 % (1230058)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1430105860:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.51/0.62 % (1230058)Instruction limit reached!
% 0.51/0.62 % (1230058)------------------------------
% 0.51/0.62 % (1230058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.62 % (1230058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.62 % (1230058)CaDiCaL version: 2.1.3
% 0.51/0.62 % (1230058)Termination reason: Instruction limit
% 0.51/0.62 % (1230058)Termination phase: shuffling
% 0.51/0.62 % (1230058)Time elapsed: 0.002 s
% 0.51/0.62 % (1230058)Peak memory usage: 12 MB
% 0.51/0.62 % (1230058)Instructions burned: 6 (million)
% 0.51/0.62 % (1230060)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3826387777:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.97/0.67 % (1230066)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2155624663:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 0.97/0.67 % (1230064)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.97/0.67 % (1230060)Instruction limit reached!
% 0.97/0.67 % (1230060)------------------------------
% 0.97/0.67 % (1230060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.67 % (1230060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.67 % (1230060)CaDiCaL version: 2.1.3
% 0.97/0.67 % (1230060)Termination reason: Instruction limit
% 0.97/0.67 % (1230060)Termination phase: shuffling
% 0.97/0.67 % (1230060)Time elapsed: 0.004 s
% 0.97/0.67 % (1230060)Peak memory usage: 11 MB
% 0.97/0.67 % (1230060)Instructions burned: 6 (million)
% 0.97/0.67 % (1230066)Instruction limit reached!
% 0.97/0.67 % (1230066)------------------------------
% 0.97/0.67 % (1230066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.67 % (1230066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.67 % (1230066)CaDiCaL version: 2.1.3
% 0.97/0.67 % (1230066)Termination reason: Instruction limit
% 0.97/0.67 % (1230066)Termination phase: shuffling
% 0.97/0.67 % (1230066)Time elapsed: 0.004 s
% 0.97/0.67 % (1230066)Peak memory usage: 11 MB
% 0.97/0.67 % (1230066)Instructions burned: 16 (million)
% 0.97/0.67 % (1230064)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3864209934:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 0.97/0.67 % (1230048)Instruction limit reached!
% 0.97/0.67 % (1230048)------------------------------
% 0.97/0.67 % (1230048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.67 % (1230048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.67 % (1230048)CaDiCaL version: 2.1.3
% 0.97/0.67 % (1230048)Termination reason: Instruction limit
% 0.97/0.67 % (1230048)Termination phase: shuffling
% 0.97/0.67 % (1230048)Time elapsed: 0.033 s
% 0.97/0.67 % (1230048)Peak memory usage: 12 MB
% 0.97/0.67 % (1230048)Instructions burned: 77 (million)
% 0.97/0.67 % (1230064)Instruction limit reached!
% 0.97/0.67 % (1230064)------------------------------
% 0.97/0.67 % (1230064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.67 % (1230064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.67 % (1230064)CaDiCaL version: 2.1.3
% 0.97/0.67 % (1230064)Termination reason: Instruction limit
% 0.97/0.67 % (1230064)Termination phase: shuffling
% 0.97/0.67 % (1230064)Time elapsed: 0.005 s
% 0.97/0.67 % (1230064)Peak memory usage: 11 MB
% 0.97/0.67 % (1230064)Instructions burned: 9 (million)
% 0.97/0.67 % (1230042)Instruction limit reached!
% 0.97/0.67 % (1230042)------------------------------
% 0.97/0.67 % (1230042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.67 % (1230042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.67 % (1230042)CaDiCaL version: 2.1.3
% 0.97/0.67 % (1230042)Termination reason: Instruction limit
% 0.97/0.67 % (1230042)Termination phase: shuffling
% 0.97/0.67 % (1230042)Time elapsed: 0.038 s
% 0.97/0.67 % (1230042)Peak memory usage: 12 MB
% 0.97/0.67 % (1230042)Instructions burned: 87 (million)
% 0.97/0.67 % (1230077)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=816165537:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 0.97/0.67 % (1230075)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
% 0.97/0.67 % (1230075)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.97/0.67 % (1230075)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1759889327:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 0.97/0.67 % (1230083)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.97/0.67 % (1230081)lrs+10_1_si=on:cs=on:random_seed=2460169705:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.97/0.70 % (1230083)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=1765765813:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.97/0.70 % (1230086)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3207354944:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.97/0.70 % (1230083)Instruction limit reached!
% 0.97/0.70 % (1230083)------------------------------
% 0.97/0.70 % (1230083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.70 % (1230083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.70 % (1230083)CaDiCaL version: 2.1.3
% 0.97/0.70 % (1230083)Termination reason: Instruction limit
% 0.97/0.70 % (1230083)Termination phase: shuffling
% 0.97/0.70 % (1230083)Time elapsed: 0.003 s
% 0.97/0.70 % (1230083)Peak memory usage: 11 MB
% 0.97/0.70 % (1230083)Instructions burned: 4 (million)
% 0.97/0.70 % (1230081)Instruction limit reached!
% 0.97/0.70 % (1230081)------------------------------
% 0.97/0.70 % (1230081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.70 % (1230081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.70 % (1230081)CaDiCaL version: 2.1.3
% 0.97/0.70 % (1230081)Termination reason: Instruction limit
% 0.97/0.70 % (1230081)Termination phase: shuffling
% 0.97/0.70 % (1230081)Time elapsed: 0.005 s
% 0.97/0.70 % (1230081)Peak memory usage: 11 MB
% 0.97/0.70 % (1230081)Instructions burned: 9 (million)
% 0.97/0.70 % (1230075)Instruction limit reached!
% 0.97/0.70 % (1230075)------------------------------
% 0.97/0.70 % (1230075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.70 % (1230075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.70 % (1230075)CaDiCaL version: 2.1.3
% 0.97/0.70 % (1230075)Termination reason: Instruction limit
% 0.97/0.70 % (1230075)Termination phase: shuffling
% 0.97/0.70 % (1230075)Time elapsed: 0.014 s
% 0.97/0.70 % (1230075)Peak memory usage: 12 MB
% 0.97/0.70 % (1230075)Instructions burned: 29 (million)
% 0.97/0.70 % (1230077)Instruction limit reached!
% 0.97/0.70 % (1230077)------------------------------
% 0.97/0.70 % (1230077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.70 % (1230077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.70 % (1230077)CaDiCaL version: 2.1.3
% 0.97/0.70 % (1230077)Termination reason: Instruction limit
% 0.97/0.70 % (1230077)Termination phase: shuffling
% 0.97/0.70 % (1230077)Time elapsed: 0.021 s
% 0.97/0.70 % (1230077)Peak memory usage: 13 MB
% 0.97/0.70 % (1230077)Instructions burned: 90 (million)
% 0.97/0.70 % (1230049)Instruction limit reached!
% 0.97/0.70 % (1230049)------------------------------
% 0.97/0.70 % (1230049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.70 % (1230049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.70 % (1230049)CaDiCaL version: 2.1.3
% 0.97/0.70 % (1230049)Termination reason: Instruction limit
% 0.97/0.70 % (1230049)Termination phase: Property scanning
% 0.97/0.70 % (1230049)Time elapsed: 0.066 s
% 0.97/0.70 % (1230049)Peak memory usage: 13 MB
% 0.97/0.70 % (1230049)Instructions burned: 157 (million)
% 0.97/0.70 % (1230107)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3835335518:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.97/0.70 % (1230086)Instruction limit reached!
% 0.97/0.70 % (1230086)------------------------------
% 0.97/0.70 % (1230086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.70 % (1230086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.70 % (1230086)CaDiCaL version: 2.1.3
% 0.97/0.70 % (1230086)Termination reason: Instruction limit
% 0.97/0.70 % (1230086)Termination phase: shuffling
% 0.97/0.70 % (1230086)Time elapsed: 0.018 s
% 0.97/0.70 % (1230086)Peak memory usage: 12 MB
% 0.97/0.70 % (1230086)Instructions burned: 40 (million)
% 0.97/0.70 % (1230101)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2794751563:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.97/0.70 % (1230103)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=349791921:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.37/0.75 % (1230106)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=995988530:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.37/0.75 % (1230112)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1885989373:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.37/0.75 % (1230106)Instruction limit reached!
% 1.37/0.75 % (1230106)------------------------------
% 1.37/0.75 % (1230106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.75 % (1230106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.75 % (1230106)CaDiCaL version: 2.1.3
% 1.37/0.75 % (1230106)Termination reason: Instruction limit
% 1.37/0.75 % (1230106)Termination phase: shuffling
% 1.37/0.75 % (1230106)Time elapsed: 0.008 s
% 1.37/0.75 % (1230106)Peak memory usage: 11 MB
% 1.37/0.75 % (1230106)Instructions burned: 15 (million)
% 1.37/0.75 % (1230103)Instruction limit reached!
% 1.37/0.75 % (1230103)------------------------------
% 1.37/0.75 % (1230103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.75 % (1230103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.75 % (1230103)CaDiCaL version: 2.1.3
% 1.37/0.75 % (1230103)Termination reason: Instruction limit
% 1.37/0.75 % (1230103)Termination phase: shuffling
% 1.37/0.75 % (1230103)Time elapsed: 0.012 s
% 1.37/0.75 % (1230103)Peak memory usage: 12 MB
% 1.37/0.75 % (1230103)Instructions burned: 25 (million)
% 1.37/0.75 % (1230119)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2575613029: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)
% 1.37/0.75 % (1230112)Instruction limit reached!
% 1.37/0.75 % (1230112)------------------------------
% 1.37/0.75 % (1230112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.75 % (1230112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.75 % (1230112)CaDiCaL version: 2.1.3
% 1.37/0.75 % (1230112)Termination reason: Instruction limit
% 1.37/0.75 % (1230112)Termination phase: shuffling
% 1.37/0.75 % (1230112)Time elapsed: 0.007 s
% 1.37/0.75 % (1230112)Peak memory usage: 11 MB
% 1.37/0.75 % (1230112)Instructions burned: 15 (million)
% 1.37/0.75 % (1230119)Instruction limit reached!
% 1.37/0.75 % (1230119)------------------------------
% 1.37/0.75 % (1230119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.75 % (1230119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.75 % (1230119)CaDiCaL version: 2.1.3
% 1.37/0.75 % (1230119)Termination reason: Instruction limit
% 1.37/0.75 % (1230119)Termination phase: shuffling
% 1.37/0.75 % (1230119)Time elapsed: 0.003 s
% 1.37/0.75 % (1230119)Peak memory usage: 11 MB
% 1.37/0.75 % (1230119)Instructions burned: 4 (million)
% 1.37/0.75 % (1230126)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3998323657:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.37/0.75 % (1230127)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2736805700:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.37/0.75 % (1230130)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
% 1.37/0.75 % (1230130)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.37/0.75 % (1230129)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=873205990:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.37/0.75 % (1230130)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=201983223:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.37/0.75 % (1230127)Instruction limit reached!
% 1.37/0.75 % (1230127)------------------------------
% 1.37/0.75 % (1230127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.75 % (1230127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.75 % (1230127)CaDiCaL version: 2.1.3
% 1.81/0.80 % (1230127)Termination reason: Instruction limit
% 1.81/0.80 % (1230127)Termination phase: shuffling
% 1.81/0.80 % (1230127)Time elapsed: 0.011 s
% 1.81/0.80 % (1230127)Peak memory usage: 12 MB
% 1.81/0.80 % (1230127)Instructions burned: 23 (million)
% 1.81/0.80 % (1230126)Instruction limit reached!
% 1.81/0.80 % (1230126)------------------------------
% 1.81/0.80 % (1230126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.80 % (1230126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.80 % (1230126)CaDiCaL version: 2.1.3
% 1.81/0.80 % (1230126)Termination reason: Instruction limit
% 1.81/0.80 % (1230126)Termination phase: shuffling
% 1.81/0.80 % (1230126)Time elapsed: 0.014 s
% 1.81/0.80 % (1230126)Peak memory usage: 12 MB
% 1.81/0.80 % (1230126)Instructions burned: 28 (million)
% 1.81/0.80 % (1230130)Instruction limit reached!
% 1.81/0.80 % (1230130)------------------------------
% 1.81/0.80 % (1230130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.80 % (1230130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.80 % (1230130)CaDiCaL version: 2.1.3
% 1.81/0.80 % (1230130)Termination reason: Instruction limit
% 1.81/0.80 % (1230130)Termination phase: shuffling
% 1.81/0.80 % (1230130)Time elapsed: 0.007 s
% 1.81/0.80 % (1230130)Peak memory usage: 12 MB
% 1.81/0.80 % (1230130)Instructions burned: 14 (million)
% 1.81/0.80 % (1230139)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.81/0.80 % (1230139)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=2237469330:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 1.81/0.80 % (1230129)Instruction limit reached!
% 1.81/0.80 % (1230129)------------------------------
% 1.81/0.80 % (1230129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.80 % (1230129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.80 % (1230129)CaDiCaL version: 2.1.3
% 1.81/0.80 % (1230129)Termination reason: Instruction limit
% 1.81/0.80 % (1230129)Termination phase: shuffling
% 1.81/0.80 % (1230129)Time elapsed: 0.026 s
% 1.81/0.80 % (1230129)Peak memory usage: 12 MB
% 1.81/0.80 % (1230129)Instructions burned: 61 (million)
% 1.81/0.80 % (1230140)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=2329859142:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.81/0.80 % (1230141)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2485613199:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.81/0.80 % (1230139)Instruction limit reached!
% 1.81/0.80 % (1230139)------------------------------
% 1.81/0.80 % (1230139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.80 % (1230139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.80 % (1230139)CaDiCaL version: 2.1.3
% 1.81/0.80 % (1230139)Termination reason: Instruction limit
% 1.81/0.80 % (1230139)Termination phase: shuffling
% 1.81/0.80 % (1230139)Time elapsed: 0.005 s
% 1.81/0.80 % (1230139)Peak memory usage: 12 MB
% 1.81/0.80 % (1230139)Instructions burned: 9 (million)
% 1.81/0.80 % (1230141)Instruction limit reached!
% 1.81/0.80 % (1230141)------------------------------
% 1.81/0.80 % (1230141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.80 % (1230141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.80 % (1230141)CaDiCaL version: 2.1.3
% 1.81/0.80 % (1230141)Termination reason: Instruction limit
% 1.81/0.80 % (1230141)Termination phase: shuffling
% 1.81/0.80 % (1230141)Time elapsed: 0.004 s
% 1.81/0.80 % (1230141)Peak memory usage: 11 MB
% 1.81/0.80 % (1230141)Instructions burned: 7 (million)
% 1.81/0.80 % (1230107)Instruction limit reached!
% 1.81/0.80 % (1230107)------------------------------
% 1.81/0.80 % (1230107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.80 % (1230107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.80 % (1230107)CaDiCaL version: 2.1.3
% 1.81/0.80 % (1230107)Termination reason: Instruction limit
% 1.81/0.80 % (1230107)Termination phase: Function definition elimination
% 1.81/0.80 % (1230107)Time elapsed: 0.078 s
% 1.81/0.80 % (1230107)Peak memory usage: 15 MB
% 1.81/0.80 % (1230107)Instructions burned: 329 (million)
% 1.81/0.86 % (1230140)Instruction limit reached!
% 1.81/0.86 % (1230140)------------------------------
% 1.81/0.86 % (1230140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.86 % (1230140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.86 % (1230140)CaDiCaL version: 2.1.3
% 1.81/0.86 % (1230140)Termination reason: Instruction limit
% 1.81/0.86 % (1230140)Termination phase: shuffling
% 1.81/0.86 % (1230140)Time elapsed: 0.015 s
% 1.81/0.86 % (1230140)Peak memory usage: 12 MB
% 1.81/0.86 % (1230140)Instructions burned: 32 (million)
% 1.81/0.86 % (1230148)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2328686391:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.81/0.86 % (1230144)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1021618968:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.81/0.86 % (1230146)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4240785262:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.81/0.86 % (1230147)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=930269273:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.81/0.86 % (1230144)Instruction limit reached!
% 1.81/0.86 % (1230144)------------------------------
% 1.81/0.86 % (1230144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.86 % (1230144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.86 % (1230144)CaDiCaL version: 2.1.3
% 1.81/0.86 % (1230144)Termination reason: Instruction limit
% 1.81/0.86 % (1230144)Termination phase: shuffling
% 1.81/0.86 % (1230144)Time elapsed: 0.012 s
% 1.81/0.86 % (1230144)Peak memory usage: 12 MB
% 1.81/0.86 % (1230144)Instructions burned: 24 (million)
% 1.81/0.86 % (1230146)Instruction limit reached!
% 1.81/0.86 % (1230146)------------------------------
% 1.81/0.86 % (1230146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.86 % (1230146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.86 % (1230146)CaDiCaL version: 2.1.3
% 1.81/0.86 % (1230146)Termination reason: Instruction limit
% 1.81/0.86 % (1230146)Termination phase: shuffling
% 1.81/0.86 % (1230146)Time elapsed: 0.010 s
% 1.81/0.86 % (1230146)Peak memory usage: 12 MB
% 1.81/0.86 % (1230146)Instructions burned: 22 (million)
% 1.81/0.86 % (1230149)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=964265018:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.81/0.86 % (1230101)Instruction limit reached!
% 1.81/0.86 % (1230101)------------------------------
% 1.81/0.86 % (1230101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.86 % (1230101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.86 % (1230101)CaDiCaL version: 2.1.3
% 1.81/0.86 % (1230101)Termination reason: Instruction limit
% 1.81/0.86 % (1230101)Termination phase: Saturation
% 1.81/0.86 % (1230101)Time elapsed: 0.111 s
% 1.81/0.86 % (1230101)Peak memory usage: 15 MB
% 1.81/0.86 % (1230101)Instructions burned: 251 (million)
% 1.81/0.86 % (1230155)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.81/0.86 % (1230154)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1363863711:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.81/0.86 % (1230148)Instruction limit reached!
% 1.81/0.86 % (1230148)------------------------------
% 1.81/0.86 % (1230148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.86 % (1230148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.86 % (1230148)CaDiCaL version: 2.1.3
% 1.81/0.86 % (1230148)Termination reason: Instruction limit
% 1.81/0.86 % (1230148)Termination phase: Property scanning
% 1.81/0.86 % (1230148)Time elapsed: 0.033 s
% 1.81/0.86 % (1230148)Peak memory usage: 13 MB
% 1.81/0.86 % (1230148)Instructions burned: 146 (million)
% 1.81/0.86 % (1230155)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2619029890:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.81/0.86 % (1230155)Instruction limit reached!
% 1.81/0.86 % (1230155)------------------------------
% 1.81/0.86 % (1230155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.95 % (1230155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.95 % (1230155)CaDiCaL version: 2.1.3
% 2.47/0.95 % (1230155)Termination reason: Instruction limit
% 2.47/0.95 % (1230155)Termination phase: shuffling
% 2.47/0.95 % (1230155)Time elapsed: 0.005 s
% 2.47/0.95 % (1230155)Peak memory usage: 11 MB
% 2.47/0.95 % (1230155)Instructions burned: 9 (million)
% 2.47/0.95 % (1230160)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=1158308887:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.47/0.95 % (1230157)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=860117247:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.47/0.95 % (1230154)Instruction limit reached!
% 2.47/0.95 % (1230154)------------------------------
% 2.47/0.95 % (1230154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.95 % (1230154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.95 % (1230154)CaDiCaL version: 2.1.3
% 2.47/0.95 % (1230154)Termination reason: Instruction limit
% 2.47/0.95 % (1230154)Termination phase: shuffling
% 2.47/0.95 % (1230154)Time elapsed: 0.019 s
% 2.47/0.95 % (1230154)Peak memory usage: 12 MB
% 2.47/0.95 % (1230154)Instructions burned: 43 (million)
% 2.47/0.95 % (1230161)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.47/0.95 % (1230161)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=4069690169:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.47/0.95 % (1230161)Instruction limit reached!
% 2.47/0.95 % (1230161)------------------------------
% 2.47/0.95 % (1230161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.95 % (1230161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.95 % (1230161)CaDiCaL version: 2.1.3
% 2.47/0.95 % (1230161)Termination reason: Instruction limit
% 2.47/0.95 % (1230161)Termination phase: shuffling
% 2.47/0.95 % (1230161)Time elapsed: 0.004 s
% 2.47/0.95 % (1230161)Peak memory usage: 11 MB
% 2.47/0.95 % (1230161)Instructions burned: 6 (million)
% 2.47/0.95 % (1230164)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3249405906:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.47/0.95 % (1230164)Instruction limit reached!
% 2.47/0.95 % (1230164)------------------------------
% 2.47/0.95 % (1230164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.95 % (1230164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.95 % (1230164)CaDiCaL version: 2.1.3
% 2.47/0.95 % (1230164)Termination reason: Instruction limit
% 2.47/0.95 % (1230164)Termination phase: shuffling
% 2.47/0.95 % (1230164)Time elapsed: 0.011 s
% 2.47/0.95 % (1230166)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1899821763:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.47/0.95 % (1230164)Peak memory usage: 12 MB
% 2.47/0.95 % (1230164)Instructions burned: 22 (million)
% 2.47/0.95 % (1230160)Instruction limit reached!
% 2.47/0.95 % (1230160)------------------------------
% 2.47/0.95 % (1230160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.95 % (1230160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.95 % (1230160)CaDiCaL version: 2.1.3
% 2.47/0.95 % (1230160)Termination reason: Instruction limit
% 2.47/0.95 % (1230160)Termination phase: SInE selection
% 2.47/0.95 % (1230160)Time elapsed: 0.039 s
% 2.47/0.95 % (1230160)Peak memory usage: 13 MB
% 2.47/0.95 % (1230160)Instructions burned: 170 (million)
% 2.47/0.95 % (1230166)Instruction limit reached!
% 2.47/0.95 % (1230166)------------------------------
% 2.47/0.95 % (1230166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.95 % (1230166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.95 % (1230166)CaDiCaL version: 2.1.3
% 2.47/0.95 % (1230166)Termination reason: Instruction limit
% 2.47/0.95 % (1230166)Termination phase: shuffling
% 2.47/0.95 % (1230166)Time elapsed: 0.010 s
% 2.47/0.96 % (1230166)Peak memory usage: 12 MB
% 2.47/0.96 % (1230166)Instructions burned: 20 (million)
% 2.47/0.96 % (1230170)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=902415811:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.47/0.96 % (1230169)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=3260360688:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.47/0.96 % (1230149)Instruction limit reached!
% 2.47/0.96 % (1230149)------------------------------
% 2.47/0.96 % (1230149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.96 % (1230149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.96 % (1230149)CaDiCaL version: 2.1.3
% 2.47/0.96 % (1230149)Termination reason: Instruction limit
% 2.47/0.96 % (1230149)Termination phase: SInE selection
% 2.47/0.96 % (1230149)Time elapsed: 0.085 s
% 2.47/0.96 % (1230149)Peak memory usage: 13 MB
% 2.47/0.96 % (1230149)Instructions burned: 193 (million)
% 2.47/0.96 % (1230171)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=665356950:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.47/0.96 % (1230174)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1790612961:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.47/0.96 % (1230157)Instruction limit reached!
% 2.47/0.96 % (1230157)------------------------------
% 2.47/0.96 % (1230157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.96 % (1230157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.96 % (1230157)CaDiCaL version: 2.1.3
% 2.47/0.96 % (1230157)Termination reason: Instruction limit
% 2.47/0.96 % (1230157)Termination phase: SInE selection
% 2.47/0.96 % (1230157)Time elapsed: 0.078 s
% 2.47/0.96 % (1230157)Peak memory usage: 13 MB
% 2.47/0.96 % (1230157)Instructions burned: 181 (million)
% 2.47/0.96 % (1230171)Instruction limit reached!
% 2.47/0.96 % (1230171)------------------------------
% 2.47/0.96 % (1230171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.96 % (1230171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.96 % (1230171)CaDiCaL version: 2.1.3
% 2.47/0.96 % (1230171)Termination reason: Instruction limit
% 2.47/0.96 % (1230171)Termination phase: Property scanning
% 2.47/0.96 % (1230171)Time elapsed: 0.020 s
% 2.47/0.96 % (1230171)Peak memory usage: 11 MB
% 2.47/0.96 % (1230171)Instructions burned: 46 (million)
% 2.47/0.96 % (1230046)Instruction limit reached!
% 2.47/0.96 % (1230046)------------------------------
% 2.47/0.96 % (1230046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.96 % (1230046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.96 % (1230046)CaDiCaL version: 2.1.3
% 2.47/0.96 % (1230046)Termination reason: Instruction limit
% 2.47/0.96 % (1230046)Termination phase: Saturation
% 2.47/0.96 % (1230046)Time elapsed: 0.299 s
% 2.47/0.96 % (1230046)Peak memory usage: 19 MB
% 2.47/0.96 % (1230046)Instructions burned: 636 (million)
% 2.47/0.96 % (1230177)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2490532033:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.47/0.96 % (1230178)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.47/0.96 % (1230178)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2519111405:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.47/0.96 % (1230177)Instruction limit reached!
% 2.47/0.96 % (1230177)------------------------------
% 2.47/0.96 % (1230177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.96 % (1230177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.96 % (1230177)CaDiCaL version: 2.1.3
% 2.47/0.96 % (1230177)Termination reason: Instruction limit
% 2.47/0.96 % (1230177)Termination phase: shuffling
% 2.47/0.96 % (1230177)Time elapsed: 0.011 s
% 2.47/0.96 % (1230177)Peak memory usage: 12 MB
% 2.47/0.96 % (1230177)Instructions burned: 23 (million)
% 2.47/0.96 % (1230179)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=995775034:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.47/0.96 % (1230179)Instruction limit reached!
% 2.47/0.96 % (1230179)------------------------------
% 2.47/0.96 % (1230179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.96 % (1230179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.96 % (1230179)CaDiCaL version: 2.1.3
% 2.47/0.96 % (1230179)Termination reason: Instruction limit
% 2.47/0.96 % (1230179)Termination phase: shuffling
% 2.47/0.96 % (1230179)Time elapsed: 0.007 s
% 2.47/0.96 % (1230179)Peak memory usage: 11 MB
% 2.47/0.96 % (1230179)Instructions burned: 14 (million)
% 2.47/0.96 % (1230182)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=1322974638:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 2.47/0.96 % (1230184)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2206481857:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 2.47/0.96 % (1230182)Instruction limit reached!
% 2.47/0.96 % (1230182)------------------------------
% 2.47/0.96 % (1230182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.96 % (1230182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.96 % (1230182)CaDiCaL version: 2.1.3
% 2.47/0.96 % (1230182)Termination reason: Instruction limit
% 2.47/0.96 % (1230182)Termination phase: shuffling
% 2.47/0.96 % (1230182)Time elapsed: 0.030 s
% 2.47/0.96 % (1230182)Peak memory usage: 13 MB
% 2.47/0.96 % (1230182)Instructions burned: 67 (million)
% 2.47/0.96 % (1230184)Instruction limit reached!
% 2.47/0.96 % (1230184)------------------------------
% 2.47/0.96 % (1230184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.96 % (1230184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.96 % (1230184)CaDiCaL version: 2.1.3
% 2.47/0.96 % (1230184)Termination reason: Instruction limit
% 2.47/0.96 % (1230184)Termination phase: shuffling
% 2.47/0.96 % (1230184)Time elapsed: 0.022 s
% 2.47/0.96 % (1230184)Peak memory usage: 12 MB
% 2.47/0.96 % (1230184)Instructions burned: 52 (million)
% 2.47/0.96 % (1230187)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2666381291:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 2.47/0.96 % (1230188)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3585114536:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 2.47/0.96 % (1230169)Instruction limit reached!
% 2.47/0.96 % (1230169)------------------------------
% 2.47/0.96 % (1230169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.96 % (1230169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.96 % (1230169)CaDiCaL version: 2.1.3
% 2.47/0.96 % (1230169)Termination reason: Instruction limit
% 2.47/0.96 % (1230169)Termination phase: Property scanning
% 2.47/0.96 % (1230169)Time elapsed: 0.133 s
% 2.47/0.96 % (1230169)Peak memory usage: 15 MB
% 2.47/0.96 % (1230169)Instructions burned: 317 (million)
% 2.47/0.96 % (1230178)Instruction limit reached!
% 2.47/0.96 % (1230178)------------------------------
% 2.47/0.96 % (1230178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.96 % (1230178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.96 % (1230178)CaDiCaL version: 2.1.3
% 2.47/0.96 % (1230178)Termination reason: Instruction limit
% 2.47/0.96 % (1230178)Termination phase: Preprocessing 3
% 2.47/0.96 % (1230178)Time elapsed: 0.089 s
% 2.47/0.96 % (1230178)Peak memory usage: 15 MB
% 2.47/0.96 % (1230178)Instructions burned: 200 (million)
% 2.47/0.96 % (1230187)Instruction limit reached!
% 2.47/0.96 % (1230187)------------------------------
% 2.47/0.96 % (1230187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.96 % (1230187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.96 % (1230187)CaDiCaL version: 2.1.3
% 2.47/0.96 % (1230187)Termination reason: Instruction limit
% 2.47/0.96 % (1230187)Termination phase: shuffling
% 2.47/0.96 % (1230187)Time elapsed: 0.015 s
% 2.47/0.96 % (1230187)Peak memory usage: 12 MB
% 2.47/0.96 % (1230187)Instructions burned: 31 (million)
% 2.47/0.96 % (1230170) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1230019-1230170"...
% 2.47/0.96 % (1230170)...printing done.
% 2.47/0.96 % (1230170)Refutation found. Thanks to Tanya!
% 2.47/0.96 % SZS status Theorem for theBenchmark
% 2.47/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 2.47/0.97 % (1230170)------------------------------
% 2.47/0.97 % (1230170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.97 % (1230170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.97 % (1230170)CaDiCaL version: 2.1.3
% 2.47/0.97 % (1230170)Termination reason: Refutation
% 2.47/0.97 % (1230170)Time elapsed: 0.156 s
% 2.47/0.97 % (1230170)Peak memory usage: 20 MB
% 2.47/0.97 % (1230170)Instructions burned: 613 (million)
% 2.47/0.97 % (1230019)Success in time 0.508 s
% 2.47/0.97 % Vampire exiting
%------------------------------------------------------------------------------