%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW474^2 : 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 : n003.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 0.73s 0.43s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 87 ( 30 unt; 0 typ; 8 def)
% Number of atoms : 416 ( 88 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 437 ( 76 ~; 70 |; 0 &; 262 @)
% ( 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 : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 301 ( 298 usr; 18 con; 0-6 aty)
% Number of variables : 62 ( 0 sgn 52 !; 0 ?; 62 :)
% 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_1167836817_state: $tType ).
thf(type_def_9,type,
option_com: $tType ).
thf(type_def_10,type,
option_pname: $tType ).
thf(type_def_11,type,
option1574264306_state: $tType ).
thf(type_def_12,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
wt: com > $o ).
thf(func_def_1,type,
wT_bodies: $o ).
thf(func_def_2,type,
body: pname > option_com ).
thf(func_def_3,type,
body_1: pname > com ).
thf(func_def_4,type,
skip: com ).
thf(func_def_5,type,
semi: com > com > com ).
thf(func_def_6,type,
while: ( state > $o ) > com > com ).
thf(func_def_7,type,
finite1066544169me_o_o: ( ( ( pname > $o ) > $o ) > $o ) > $o ).
thf(func_def_8,type,
finite33115244te_o_o: ( ( ( hoare_1167836817_state > $o ) > $o ) > $o ) > $o ).
thf(func_def_9,type,
finite297249702name_o: ( ( pname > $o ) > $o ) > $o ).
thf(func_def_10,type,
finite1380128977tate_o: ( ( hoare_1167836817_state > $o ) > $o ) > $o ).
thf(func_def_11,type,
finite_finite_pname: ( pname > $o ) > $o ).
thf(func_def_12,type,
finite1084549118_state: ( hoare_1167836817_state > $o ) > $o ).
thf(func_def_13,type,
finite349908348name_o: ( ( pname > $o ) > ( pname > $o ) > pname > $o ) > ( ( ( pname > $o ) > $o ) > pname > $o ) > $o ).
thf(func_def_14,type,
finite979047547tate_o: ( ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ) > ( ( ( hoare_1167836817_state > $o ) > $o ) > hoare_1167836817_state > $o ) > $o ).
thf(func_def_15,type,
finite1282449217_pname: ( pname > pname > pname ) > ( ( pname > $o ) > pname ) > $o ).
thf(func_def_16,type,
finite1074406356_state: ( hoare_1167836817_state > hoare_1167836817_state > hoare_1167836817_state ) > ( ( hoare_1167836817_state > $o ) > hoare_1167836817_state ) > $o ).
thf(func_def_17,type,
finite697516351name_o: ( ( pname > $o ) > ( pname > $o ) > pname > $o ) > ( ( ( pname > $o ) > $o ) > pname > $o ) > $o ).
thf(func_def_18,type,
finite671847800tate_o: ( ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ) > ( ( ( hoare_1167836817_state > $o ) > $o ) > hoare_1167836817_state > $o ) > $o ).
thf(func_def_19,type,
finite89670078_pname: ( pname > pname > pname ) > ( ( pname > $o ) > pname ) > $o ).
thf(func_def_20,type,
finite806517911_state: ( hoare_1167836817_state > hoare_1167836817_state > hoare_1167836817_state ) > ( ( hoare_1167836817_state > $o ) > hoare_1167836817_state ) > $o ).
thf(func_def_21,type,
minus_1480864103me_o_o: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_22,type,
minus_1708687022te_o_o: ( ( hoare_1167836817_state > $o ) > $o ) > ( ( hoare_1167836817_state > $o ) > $o ) > ( hoare_1167836817_state > $o ) > $o ).
thf(func_def_23,type,
minus_minus_pname_o: ( pname > $o ) > ( pname > $o ) > pname > $o ).
thf(func_def_24,type,
minus_2107060239tate_o: ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ).
thf(func_def_25,type,
the_pname: ( pname > $o ) > pname ).
thf(func_def_26,type,
the_Ho310147232_state: ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_27,type,
hoare_Mirabelle_MGT: com > hoare_1167836817_state ).
thf(func_def_28,type,
hoare_123228589_state: ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > $o ).
thf(func_def_29,type,
hoare_529639851_state: ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > $o ).
thf(func_def_30,type,
hoare_1201148605gleton: $o ).
thf(func_def_31,type,
hoare_908217195_state: ( state > state > $o ) > com > ( state > state > $o ) > hoare_1167836817_state ).
thf(func_def_32,type,
if_Hoa833675553_state: $o > hoare_1167836817_state > hoare_1167836817_state > hoare_1167836817_state ).
thf(func_def_33,type,
if_option_com: $o > option_com > option_com > option_com ).
thf(func_def_34,type,
semila2013987940me_o_o: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_35,type,
semila1758709489te_o_o: ( ( hoare_1167836817_state > $o ) > $o ) > ( ( hoare_1167836817_state > $o ) > $o ) > ( hoare_1167836817_state > $o ) > $o ).
thf(func_def_36,type,
semila1673364395name_o: ( pname > $o ) > ( pname > $o ) > pname > $o ).
thf(func_def_37,type,
semila179895820tate_o: ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ).
thf(func_def_38,type,
semila181081674me_o_o: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_39,type,
semila866907787te_o_o: ( ( hoare_1167836817_state > $o ) > $o ) > ( ( hoare_1167836817_state > $o ) > $o ) > ( hoare_1167836817_state > $o ) > $o ).
thf(func_def_40,type,
semila1780557381name_o: ( pname > $o ) > ( pname > $o ) > pname > $o ).
thf(func_def_41,type,
semila1172322802tate_o: ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ).
thf(func_def_42,type,
semila10642723_sup_o: $o > $o > $o ).
thf(func_def_43,type,
dom_pname_com: ( pname > option_com ) > pname > $o ).
thf(func_def_44,type,
evalc: com > state > state > $o ).
thf(func_def_45,type,
some_com: com > option_com ).
thf(func_def_46,type,
some_pname: pname > option_pname ).
thf(func_def_47,type,
some_H1433514562_state: hoare_1167836817_state > option1574264306_state ).
thf(func_def_48,type,
set_com: option_com > com > $o ).
thf(func_def_49,type,
set_pname: option_pname > pname > $o ).
thf(func_def_50,type,
set_Ho2131684873_state: option1574264306_state > hoare_1167836817_state > $o ).
thf(func_def_51,type,
the_com: option_com > com ).
thf(func_def_52,type,
bot_bot_pname_o_o: ( pname > $o ) > $o ).
thf(func_def_53,type,
bot_bo691907561te_o_o: ( hoare_1167836817_state > $o ) > $o ).
thf(func_def_54,type,
bot_bot_com_o: com > $o ).
thf(func_def_55,type,
bot_bot_pname_o: pname > $o ).
thf(func_def_56,type,
bot_bo70021908tate_o: hoare_1167836817_state > $o ).
thf(func_def_57,type,
bot_bot_o: $o ).
thf(func_def_58,type,
ord_le1205211808me_o_o: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(func_def_59,type,
ord_le741939125te_o_o: ( ( hoare_1167836817_state > $o ) > $o ) > ( ( hoare_1167836817_state > $o ) > $o ) > $o ).
thf(func_def_60,type,
ord_less_eq_pname_o: ( pname > $o ) > ( pname > $o ) > $o ).
thf(func_def_61,type,
ord_le827224136tate_o: ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > $o ).
thf(func_def_62,type,
ord_less_eq_o: $o > $o > $o ).
thf(func_def_63,type,
collect_pname_o_o: ( ( ( pname > $o ) > $o ) > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(func_def_64,type,
collec1218656682te_o_o: ( ( ( hoare_1167836817_state > $o ) > $o ) > $o ) > ( ( hoare_1167836817_state > $o ) > $o ) > $o ).
thf(func_def_65,type,
collect_pname_o: ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_66,type,
collec269976083tate_o: ( ( hoare_1167836817_state > $o ) > $o ) > ( hoare_1167836817_state > $o ) > $o ).
thf(func_def_67,type,
collect_pname: ( pname > $o ) > pname > $o ).
thf(func_def_68,type,
collec1027672124_state: ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ).
thf(func_def_69,type,
image_1085733413name_o: ( ( pname > $o ) > pname > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_70,type,
image_pname_o_pname: ( ( pname > $o ) > pname ) > ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_71,type,
image_1381916541_state: ( ( pname > $o ) > hoare_1167836817_state ) > ( ( pname > $o ) > $o ) > hoare_1167836817_state > $o ).
thf(func_def_72,type,
image_1488525317tate_o: ( ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ) > ( ( hoare_1167836817_state > $o ) > $o ) > ( hoare_1167836817_state > $o ) > $o ).
thf(func_def_73,type,
image_980295115_pname: ( ( hoare_1167836817_state > $o ) > pname ) > ( ( hoare_1167836817_state > $o ) > $o ) > pname > $o ).
thf(func_def_74,type,
image_635813834_state: ( ( hoare_1167836817_state > $o ) > hoare_1167836817_state ) > ( ( hoare_1167836817_state > $o ) > $o ) > hoare_1167836817_state > $o ).
thf(func_def_75,type,
image_pname_pname_o: ( pname > pname > $o ) > ( pname > $o ) > ( pname > $o ) > $o ).
thf(func_def_76,type,
image_475339327tate_o: ( pname > hoare_1167836817_state > $o ) > ( pname > $o ) > ( hoare_1167836817_state > $o ) > $o ).
thf(func_def_77,type,
image_pname_pname: ( pname > pname ) > ( pname > $o ) > pname > $o ).
thf(func_def_78,type,
image_575578384_state: ( pname > hoare_1167836817_state ) > ( pname > $o ) > hoare_1167836817_state > $o ).
thf(func_def_79,type,
image_2066861949name_o: ( hoare_1167836817_state > pname > $o ) > ( hoare_1167836817_state > $o ) > ( pname > $o ) > $o ).
thf(func_def_80,type,
image_1745649338tate_o: ( hoare_1167836817_state > hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > $o ).
thf(func_def_81,type,
image_8178176_pname: ( hoare_1167836817_state > pname ) > ( hoare_1167836817_state > $o ) > pname > $o ).
thf(func_def_82,type,
image_31595733_state: ( hoare_1167836817_state > hoare_1167836817_state ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ).
thf(func_def_83,type,
insert_pname_o: ( pname > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_84,type,
insert999278200tate_o: ( hoare_1167836817_state > $o ) > ( ( hoare_1167836817_state > $o ) > $o ) > ( hoare_1167836817_state > $o ) > $o ).
thf(func_def_85,type,
insert_com: com > ( com > $o ) > com > $o ).
thf(func_def_86,type,
insert_pname: pname > ( pname > $o ) > pname > $o ).
thf(func_def_87,type,
insert2134838167_state: hoare_1167836817_state > ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ).
thf(func_def_88,type,
the_elem_pname: ( pname > $o ) > pname ).
thf(func_def_89,type,
the_el323660082_state: ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_90,type,
fequal_pname_o: ( pname > $o ) > ( pname > $o ) > $o ).
thf(func_def_91,type,
fequal1486222077tate_o: ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > $o ).
thf(func_def_92,type,
fequal_pname: pname > pname > $o ).
thf(func_def_93,type,
fequal_state: state > state > $o ).
thf(func_def_94,type,
fequal1831255762_state: hoare_1167836817_state > hoare_1167836817_state > $o ).
thf(func_def_95,type,
member_pname_o: ( pname > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(func_def_96,type,
member864234961tate_o: ( hoare_1167836817_state > $o ) > ( ( hoare_1167836817_state > $o ) > $o ) > $o ).
thf(func_def_97,type,
member_com: com > ( com > $o ) > $o ).
thf(func_def_98,type,
member_pname: pname > ( pname > $o ) > $o ).
thf(func_def_99,type,
member2058392318_state: hoare_1167836817_state > ( hoare_1167836817_state > $o ) > $o ).
thf(func_def_100,type,
fa: hoare_1167836817_state > $o ).
thf(func_def_101,type,
pn: pname ).
thf(func_def_102,type,
y: com ).
thf(func_def_104,type,
vAND: $o > $o > $o ).
thf(func_def_105,type,
vIMP: $o > $o > $o ).
thf(func_def_106,type,
vNOT: $o > $o ).
thf(func_def_107,type,
vOR: $o > $o > $o ).
thf(func_def_110,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_111,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_112,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_113,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_114,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_115,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_116,type,
sK0: ( pname > $o ) > pname ).
thf(func_def_117,type,
sK1: ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_118,type,
sK2: hoare_1167836817_state > $o ).
thf(func_def_119,type,
sK3: hoare_1167836817_state > $o ).
thf(func_def_120,type,
sK4: hoare_1167836817_state > $o ).
thf(func_def_121,type,
sK5: ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_122,type,
sK6: ( pname > $o ) > ( pname > hoare_1167836817_state ) > pname ).
thf(func_def_123,type,
sK7: ( ( pname > $o ) > hoare_1167836817_state ) > ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_124,type,
sK8: ( pname > $o ) > pname > pname > $o ).
thf(func_def_125,type,
sK9: ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_126,type,
sK10: ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_127,type,
sK11: ( state > state > $o ) > ( state > state > $o ) > ( state > state > $o ) > ( state > state > $o ) > state ).
thf(func_def_128,type,
sK12: ( state > state > $o ) > ( state > state > $o ) > ( state > state > $o ) > ( state > state > $o ) > state ).
thf(func_def_129,type,
sK13: ( state > state > $o ) > ( state > state > $o ) > ( state > state > $o ) > ( state > state > $o ) > state ).
thf(func_def_130,type,
sK14: ( hoare_1167836817_state > pname > $o ) > ( ( pname > $o ) > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ).
thf(func_def_131,type,
sK15: ( ( hoare_1167836817_state > $o ) > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ).
thf(func_def_132,type,
sK16: ( ( hoare_1167836817_state > $o ) > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_133,type,
sK17: ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_134,type,
sK18: ( pname > $o ) > pname ).
thf(func_def_135,type,
sK19: ( pname > $o ) > pname > $o ).
thf(func_def_136,type,
sK20: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > pname ) > ( pname > $o ) > ( pname > $o ) > $o ).
thf(func_def_137,type,
sK21: option_com > ( com > $o ) > com ).
thf(func_def_138,type,
sK22: ( hoare_1167836817_state > $o ) > ( pname > $o ) > ( hoare_1167836817_state > pname ) > hoare_1167836817_state ).
thf(func_def_139,type,
sK23: ( hoare_1167836817_state > hoare_1167836817_state ) > ( hoare_1167836817_state > hoare_1167836817_state > hoare_1167836817_state ) > hoare_1167836817_state ).
thf(func_def_140,type,
sK24: ( hoare_1167836817_state > hoare_1167836817_state ) > ( hoare_1167836817_state > hoare_1167836817_state > hoare_1167836817_state ) > hoare_1167836817_state ).
thf(func_def_141,type,
sK25: ( pname > pname > pname ) > pname ).
thf(func_def_142,type,
sK26: ( pname > pname > pname ) > pname ).
thf(func_def_143,type,
sK27: ( ( hoare_1167836817_state > $o ) > $o ) > ( hoare_1167836817_state > $o ) > ( ( hoare_1167836817_state > $o ) > hoare_1167836817_state ) > ( hoare_1167836817_state > $o ) > $o ).
thf(func_def_144,type,
sK28: ( pname > $o ) > ( pname > hoare_1167836817_state ) > ( pname > hoare_1167836817_state ) > pname ).
thf(func_def_145,type,
sK29: ( pname > $o ) > pname ).
thf(func_def_146,type,
sK30: ( ( hoare_1167836817_state > $o ) > $o ) > ( ( ( hoare_1167836817_state > $o ) > $o ) > $o ) > ( hoare_1167836817_state > $o ) > $o ).
thf(func_def_147,type,
sK31: ( ( hoare_1167836817_state > $o ) > $o ) > ( ( ( hoare_1167836817_state > $o ) > $o ) > $o ) > hoare_1167836817_state > $o ).
thf(func_def_148,type,
sK32: ( pname > $o ) > hoare_1167836817_state > ( pname > hoare_1167836817_state ) > pname ).
thf(func_def_149,type,
sK33: ( pname > $o ) > pname ).
thf(func_def_150,type,
sK34: ( ( hoare_1167836817_state > $o ) > hoare_1167836817_state ) > ( ( hoare_1167836817_state > $o ) > $o ) > hoare_1167836817_state > $o ).
thf(func_def_151,type,
sK35: ( ( pname > $o ) > $o ) > pname ).
thf(func_def_152,type,
sK36: ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_153,type,
sK37: ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_154,type,
sK38: ( pname > pname ) > ( pname > pname > pname ) > pname ).
thf(func_def_155,type,
sK39: ( pname > pname ) > ( pname > pname > pname ) > pname ).
thf(func_def_156,type,
sK40: hoare_1167836817_state > state > state > $o ).
thf(func_def_157,type,
sK41: hoare_1167836817_state > com ).
thf(func_def_158,type,
sK42: hoare_1167836817_state > state > state > $o ).
thf(func_def_159,type,
sK43: ( hoare_1167836817_state > pname ) > ( pname > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ).
thf(func_def_160,type,
sK44: state > state ).
thf(func_def_161,type,
sK45: ( pname > $o ) > pname ).
thf(func_def_162,type,
sK46: ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_163,type,
sK47: ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_164,type,
sK48: ( pname > $o ) > ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_165,type,
sK49: ( pname > $o ) > ( pname > hoare_1167836817_state ) > ( hoare_1167836817_state > $o ) > pname > $o ).
thf(func_def_166,type,
sK50: ( ( hoare_1167836817_state > $o ) > $o ) > hoare_1167836817_state > $o ).
thf(func_def_167,type,
sK51: ( ( hoare_1167836817_state > $o ) > $o ) > hoare_1167836817_state ).
thf(func_def_168,type,
sK52: ( hoare_1167836817_state > hoare_1167836817_state > $o ) > ( ( hoare_1167836817_state > $o ) > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ).
thf(func_def_169,type,
sK53: ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_170,type,
sK54: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_171,type,
sK55: ( ( hoare_1167836817_state > $o ) > $o ) > hoare_1167836817_state > $o ).
thf(func_def_172,type,
sK56: ( ( hoare_1167836817_state > $o ) > $o ) > ( ( hoare_1167836817_state > $o ) > $o ) > hoare_1167836817_state > $o ).
thf(func_def_173,type,
sK57: ( hoare_1167836817_state > $o ) > hoare_1167836817_state > hoare_1167836817_state > $o ).
thf(func_def_174,type,
sK58: ( hoare_1167836817_state > pname ) > ( pname > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ).
thf(func_def_175,type,
sK59: ( pname > $o ) > ( hoare_1167836817_state > $o ) > ( pname > hoare_1167836817_state ) > pname > $o ).
thf(func_def_176,type,
sK60: ( ( ( hoare_1167836817_state > $o ) > $o ) > $o ) > ( hoare_1167836817_state > $o ) > $o ).
thf(func_def_177,type,
sK61: ( ( ( hoare_1167836817_state > $o ) > $o ) > $o ) > hoare_1167836817_state > $o ).
thf(func_def_178,type,
sK62: ( ( ( hoare_1167836817_state > $o ) > $o ) > $o ) > hoare_1167836817_state > $o ).
thf(func_def_179,type,
sK63: ( pname > $o ) > ( pname > pname ) > pname ).
thf(func_def_180,type,
sK64: ( hoare_1167836817_state > pname ) > ( hoare_1167836817_state > $o ) > pname > hoare_1167836817_state ).
thf(func_def_181,type,
sK65: ( pname > $o ) > pname > pname > $o ).
thf(func_def_182,type,
sK66: state ).
thf(func_def_183,type,
sK67: state ).
thf(func_def_184,type,
sK68: ( ( ( hoare_1167836817_state > $o ) > $o ) > $o ) > ( hoare_1167836817_state > $o ) > $o ).
thf(func_def_185,type,
sK69: ( ( ( hoare_1167836817_state > $o ) > $o ) > $o ) > hoare_1167836817_state > $o ).
thf(func_def_186,type,
sK70: ( ( hoare_1167836817_state > $o ) > $o ) > hoare_1167836817_state > $o ).
thf(func_def_187,type,
sK71: state > com > state > ( state > $o ) > state ).
thf(func_def_188,type,
sK72: ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_189,type,
sK73: ( ( pname > $o ) > $o ) > ( ( ( pname > $o ) > $o ) > $o ) > pname > $o ).
thf(func_def_190,type,
sK74: ( ( pname > $o ) > $o ) > ( ( ( pname > $o ) > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_191,type,
sK75: ( pname > $o ) > pname ).
thf(func_def_192,type,
sK76: ( hoare_1167836817_state > hoare_1167836817_state > hoare_1167836817_state ) > hoare_1167836817_state ).
thf(func_def_193,type,
sK77: ( hoare_1167836817_state > hoare_1167836817_state > hoare_1167836817_state ) > hoare_1167836817_state ).
thf(func_def_194,type,
sK78: ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_195,type,
sK79: ( ( ( pname > $o ) > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_196,type,
sK80: ( ( ( pname > $o ) > $o ) > $o ) > pname > $o ).
thf(func_def_197,type,
sK81: ( ( ( pname > $o ) > $o ) > $o ) > pname > $o ).
thf(func_def_198,type,
sK82: ( state > state > $o ) > ( state > state > $o ) > state ).
thf(func_def_199,type,
sK83: ( state > state > $o ) > ( state > state > $o ) > state ).
thf(func_def_200,type,
sK84: ( ( pname > $o ) > $o ) > pname ).
thf(func_def_201,type,
sK85: ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_202,type,
sK86: ( ( pname > $o ) > $o ) > pname ).
thf(func_def_203,type,
sK87: ( ( pname > $o ) > pname > $o ) > pname > $o ).
thf(func_def_204,type,
sK88: ( ( pname > $o ) > pname > $o ) > pname > $o ).
thf(func_def_205,type,
sK89: ( ( pname > $o ) > pname > $o ) > pname > $o ).
thf(func_def_206,type,
sK90: ( ( pname > $o ) > pname > $o ) > pname > $o ).
thf(func_def_207,type,
sK91: hoare_1167836817_state > $o ).
thf(func_def_208,type,
sK92: hoare_1167836817_state > $o ).
thf(func_def_209,type,
sK93: hoare_1167836817_state > $o ).
thf(func_def_210,type,
sK94: ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_211,type,
sK95: ( hoare_1167836817_state > hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_212,type,
sK96: ( ( hoare_1167836817_state > $o ) > $o ) > hoare_1167836817_state > $o ).
thf(func_def_213,type,
sK97: ( ( hoare_1167836817_state > $o ) > $o ) > ( hoare_1167836817_state > $o ) > $o ).
thf(func_def_214,type,
sK98: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_215,type,
sK99: ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_216,type,
sK100: ( pname > state > state > $o ) > ( hoare_1167836817_state > $o ) > ( pname > state > state > $o ) > ( pname > state > state > $o ) > ( pname > com ) > ( pname > state > state > $o ) > pname ).
thf(func_def_217,type,
sK101: ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_218,type,
sK102: ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ).
thf(func_def_219,type,
sK103: ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_220,type,
sK104: ( hoare_1167836817_state > $o ) > pname ).
thf(func_def_221,type,
sK105: ( ( pname > $o ) > pname ) > ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_222,type,
sK106: ( hoare_1167836817_state > pname > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_223,type,
sK107: ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_224,type,
sK108: ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_225,type,
sK109: ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_226,type,
sK110: ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_227,type,
sK111: ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_228,type,
sK112: ( ( hoare_1167836817_state > $o ) > $o ) > hoare_1167836817_state ).
thf(func_def_229,type,
sK113: ( ( hoare_1167836817_state > $o ) > $o ) > hoare_1167836817_state > $o ).
thf(func_def_230,type,
sK114: ( ( hoare_1167836817_state > $o ) > $o ) > hoare_1167836817_state ).
thf(func_def_231,type,
sK115: ( ( ( pname > $o ) > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_232,type,
sK116: ( ( ( pname > $o ) > $o ) > $o ) > pname > $o ).
thf(func_def_233,type,
sK117: ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_234,type,
sK118: ( ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ).
thf(func_def_235,type,
sK119: ( ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ).
thf(func_def_236,type,
sK120: ( state > state > $o ) > ( state > state > $o ) > com > ( hoare_1167836817_state > $o ) > state ).
thf(func_def_237,type,
sK121: ( state > state > $o ) > ( state > state > $o ) > com > ( hoare_1167836817_state > $o ) > state ).
thf(func_def_238,type,
sK122: ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_239,type,
sK123: ( hoare_1167836817_state > $o ) > ( pname > hoare_1167836817_state ) > ( pname > $o ) > pname ).
thf(func_def_240,type,
sK124: ( pname > hoare_1167836817_state ) > ( pname > $o ) > hoare_1167836817_state > pname ).
thf(func_def_241,type,
sK125: ( pname > $o ) > ( pname > pname > $o ) > pname ).
thf(func_def_242,type,
sK126: ( ( pname > $o ) > ( pname > $o ) > pname > $o ) > ( ( pname > $o ) > pname > $o ) > pname > $o ).
thf(func_def_243,type,
sK127: ( ( pname > $o ) > ( pname > $o ) > pname > $o ) > ( ( pname > $o ) > pname > $o ) > pname > $o ).
thf(func_def_244,type,
sK128: ( ( hoare_1167836817_state > $o ) > pname ) > ( ( hoare_1167836817_state > $o ) > $o ) > hoare_1167836817_state > $o ).
thf(func_def_245,type,
sK129: ( ( pname > $o ) > $o ) > ( hoare_1167836817_state > $o ) > ( ( pname > $o ) > hoare_1167836817_state ) > ( pname > $o ) > $o ).
thf(func_def_246,type,
sK130: ( ( hoare_1167836817_state > $o ) > $o ) > ( ( hoare_1167836817_state > $o ) > $o ) > ( ( hoare_1167836817_state > $o ) > $o ) > hoare_1167836817_state > $o ).
thf(func_def_247,type,
sK131: ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_248,type,
sK132: ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_249,type,
sK133: ( pname > $o ) > ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_250,type,
sK134: ( pname > $o ) > ( ( pname > $o ) > $o ) > pname ).
thf(func_def_251,type,
sK135: ( pname > $o ) > pname ).
thf(func_def_252,type,
sK136: ( pname > $o ) > pname > $o ).
thf(func_def_253,type,
sK137: ( pname > hoare_1167836817_state > $o ) > ( pname > $o ) > pname ).
thf(func_def_254,type,
sK138: pname > ( pname > option_com ) > com ).
thf(func_def_255,type,
sK139: ( hoare_1167836817_state > $o ) > hoare_1167836817_state > hoare_1167836817_state > $o ).
thf(func_def_256,type,
sK140: ( state > state > $o ) > ( state > state > $o ) > state ).
thf(func_def_257,type,
sK141: ( state > state > $o ) > ( state > state > $o ) > state ).
thf(func_def_258,type,
sK142: ( pname > $o ) > ( ( hoare_1167836817_state > $o ) > pname ) > ( ( hoare_1167836817_state > $o ) > $o ) > ( hoare_1167836817_state > $o ) > $o ).
thf(func_def_259,type,
sK143: ( pname > hoare_1167836817_state > $o ) > ( ( hoare_1167836817_state > $o ) > $o ) > ( pname > $o ) > pname > $o ).
thf(func_def_260,type,
sK144: ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_261,type,
sK145: ( pname > pname > $o ) > ( pname > $o ) > ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_262,type,
sK146: ( ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ) > ( ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ).
thf(func_def_263,type,
sK147: ( ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ) > ( ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ).
thf(func_def_264,type,
sK148: ( ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ).
thf(func_def_265,type,
sK149: ( ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ).
thf(func_def_266,type,
sK150: ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_267,type,
sK151: ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_268,type,
sK152: ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_269,type,
sK153: ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_270,type,
sK154: state > state > com > com > state ).
thf(func_def_271,type,
sK155: ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > pname ) > hoare_1167836817_state ).
thf(func_def_272,type,
sK156: ( ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ).
thf(func_def_273,type,
sK157: ( ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ).
thf(func_def_274,type,
sK158: ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_275,type,
sK159: ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ).
thf(func_def_276,type,
sK160: ( hoare_1167836817_state > hoare_1167836817_state ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_277,type,
sK161: pname > com ).
thf(func_def_278,type,
sK162: ( ( pname > $o ) > ( pname > $o ) > pname > $o ) > pname > $o ).
thf(func_def_279,type,
sK163: ( ( pname > $o ) > ( pname > $o ) > pname > $o ) > pname > $o ).
thf(func_def_280,type,
sK164: ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_281,type,
sK165: ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_282,type,
sK166: ( pname > pname ) > ( pname > $o ) > ( pname > $o ) > pname > $o ).
thf(func_def_284,type,
inv_body_1_168: com > pname ).
thf(func_def_285,type,
inv_some_com_169: option_com > com ).
thf(func_def_286,type,
sK170: ( hoare_1167836817_state > $o ) > hoare_1167836817_state > hoare_1167836817_state ).
thf(func_def_287,type,
sK171: ( pname > $o ) > ( pname > hoare_1167836817_state ) > hoare_1167836817_state ).
thf(func_def_288,type,
sK172: hoare_1167836817_state > hoare_1167836817_state > hoare_1167836817_state ).
thf(func_def_289,type,
sK173: hoare_1167836817_state > hoare_1167836817_state > hoare_1167836817_state > hoare_1167836817_state > hoare_1167836817_state ).
thf(func_def_290,type,
sK174: hoare_1167836817_state > hoare_1167836817_state > hoare_1167836817_state > hoare_1167836817_state > hoare_1167836817_state ).
thf(func_def_291,type,
sK175: hoare_1167836817_state > ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(func_def_292,type,
sK176: ( hoare_1167836817_state > $o ) > hoare_1167836817_state > ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > hoare_1167836817_state ).
thf(f1,axiom,
! [X0: hoare_1167836817_state > $o] : ( hoare_123228589_state @ X0 @ bot_bo70021908tate_o ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).
thf(f5,axiom,
! [X1: hoare_1167836817_state > $o,X2: hoare_1167836817_state > $o,X0: hoare_1167836817_state > $o] :
( ( hoare_123228589_state @ X1 @ X2 )
=> ( ( hoare_123228589_state @ X0 @ X1 )
=> ( hoare_123228589_state @ X0 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cut) ).
thf(f54,axiom,
! [X0: com] :
( hoare_1201148605gleton
=> ( wT_bodies
=> ( ( wt @ X0 )
=> ( hoare_123228589_state @ bot_bo70021908tate_o @ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo70021908tate_o ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_MGF) ).
thf(f216,axiom,
! [X1: com,X0: pname] :
( wT_bodies
=> ( ( ( body @ X0 )
= ( some_com @ X1 ) )
=> ( wt @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_215_WT__bodiesD) ).
thf(f716,axiom,
hoare_1201148605gleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f717,axiom,
wT_bodies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(f721,axiom,
( ( body @ pn )
= ( some_com @ y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
thf(f723,conjecture,
( hoare_123228589_state
@ ( image_575578384_state
@ ^ [X0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ X0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo70021908tate_o ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).
thf(f724,negated_conjecture,
~ ( hoare_123228589_state
@ ( image_575578384_state
@ ^ [X0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ X0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo70021908tate_o ) ),
inference(negated_conjecture,[status(cth)],[f723]) ).
thf(f1220,plain,
! [X0: hoare_1167836817_state > $o,X1: hoare_1167836817_state > $o,X2: hoare_1167836817_state > $o] :
( ( hoare_123228589_state @ X0 @ X1 )
=> ( ( hoare_123228589_state @ X2 @ X0 )
=> ( hoare_123228589_state @ X2 @ X1 ) ) ),
inference(rectify,[],[f5]) ).
thf(f1221,plain,
! [X1: hoare_1167836817_state > $o,X0: hoare_1167836817_state > $o,X2: hoare_1167836817_state > $o] :
( ( ( hoare_123228589_state @ X0 @ X1 )
= $true )
=> ( ( ( hoare_123228589_state @ X2 @ X0 )
= $true )
=> ( ( hoare_123228589_state @ X2 @ X1 )
= $true ) ) ),
inference(fool_elimination,[],[f1220]) ).
thf(f1266,plain,
! [X0: com] :
( hoare_1201148605gleton
=> ( wT_bodies
=> ( ( wt @ X0 )
=> ( hoare_123228589_state @ bot_bo70021908tate_o @ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo70021908tate_o ) ) ) ) ),
inference(rectify,[],[f54]) ).
thf(f1267,plain,
! [X0: com] :
( ( hoare_1201148605gleton = $true )
=> ( ( wT_bodies = $true )
=> ( ( ( wt @ X0 )
= $true )
=> ( ( hoare_123228589_state @ bot_bo70021908tate_o @ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo70021908tate_o ) )
= $true ) ) ) ),
inference(fool_elimination,[],[f1266]) ).
thf(f1399,plain,
~ ( hoare_123228589_state
@ ( image_575578384_state
@ ^ [X0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ X0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo70021908tate_o ) ),
inference(rectify,[],[f724]) ).
thf(f1400,plain,
( ( hoare_123228589_state
@ ( image_575578384_state
@ ^ [Y0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Y0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo70021908tate_o ) )
!= $true ),
inference(fool_elimination,[],[f1399]) ).
thf(f1507,plain,
wT_bodies,
inference(rectify,[],[f717]) ).
thf(f1508,plain,
wT_bodies = $true,
inference(fool_elimination,[],[f1507]) ).
thf(f1673,plain,
hoare_1201148605gleton,
inference(rectify,[],[f716]) ).
thf(f1674,plain,
hoare_1201148605gleton = $true,
inference(fool_elimination,[],[f1673]) ).
thf(f1689,plain,
! [X0: com,X1: pname] :
( wT_bodies
=> ( ( ( some_com @ X0 )
= ( body @ X1 ) )
=> ( wt @ X0 ) ) ),
inference(rectify,[],[f216]) ).
thf(f1690,plain,
! [X0: com,X1: pname] :
( ( wT_bodies = $true )
=> ( ( ( some_com @ X0 )
= ( body @ X1 ) )
=> ( ( wt @ X0 )
= $true ) ) ),
inference(fool_elimination,[],[f1689]) ).
thf(f1759,plain,
! [X0: hoare_1167836817_state > $o] : ( hoare_123228589_state @ X0 @ bot_bo70021908tate_o ),
inference(rectify,[],[f1]) ).
thf(f1760,plain,
! [X0: hoare_1167836817_state > $o] :
( ( hoare_123228589_state @ X0 @ bot_bo70021908tate_o )
= $true ),
inference(fool_elimination,[],[f1759]) ).
thf(f2024,plain,
( ( hoare_123228589_state
@ ( image_575578384_state
@ ^ [Y0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Y0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo70021908tate_o ) )
!= $true ),
inference(flattening,[],[f1400]) ).
thf(f2182,plain,
! [X0: com,X1: pname] :
( ( ( wt @ X0 )
= $true )
| ( ( some_com @ X0 )
!= ( body @ X1 ) )
| ( wT_bodies != $true ) ),
inference(ennf_transformation,[],[f1690]) ).
thf(f2183,plain,
! [X0: com,X1: pname] :
( ( wT_bodies != $true )
| ( ( wt @ X0 )
= $true )
| ( ( some_com @ X0 )
!= ( body @ X1 ) ) ),
inference(flattening,[],[f2182]) ).
thf(f2228,plain,
! [X1: hoare_1167836817_state > $o,X0: hoare_1167836817_state > $o,X2: hoare_1167836817_state > $o] :
( ( ( hoare_123228589_state @ X2 @ X1 )
= $true )
| ( ( hoare_123228589_state @ X2 @ X0 )
!= $true )
| ( ( hoare_123228589_state @ X0 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f1221]) ).
thf(f2229,plain,
! [X1: hoare_1167836817_state > $o,X2: hoare_1167836817_state > $o,X0: hoare_1167836817_state > $o] :
( ( ( hoare_123228589_state @ X0 @ X1 )
!= $true )
| ( ( hoare_123228589_state @ X2 @ X0 )
!= $true )
| ( ( hoare_123228589_state @ X2 @ X1 )
= $true ) ),
inference(flattening,[],[f2228]) ).
thf(f2268,plain,
! [X0: com] :
( ( ( hoare_123228589_state @ bot_bo70021908tate_o @ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo70021908tate_o ) )
= $true )
| ( ( wt @ X0 )
!= $true )
| ( wT_bodies != $true )
| ( hoare_1201148605gleton != $true ) ),
inference(ennf_transformation,[],[f1267]) ).
thf(f2269,plain,
! [X0: com] :
( ( hoare_1201148605gleton != $true )
| ( ( wt @ X0 )
!= $true )
| ( ( hoare_123228589_state @ bot_bo70021908tate_o @ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo70021908tate_o ) )
= $true )
| ( wT_bodies != $true ) ),
inference(flattening,[],[f2268]) ).
thf(f2977,plain,
! [X0: hoare_1167836817_state > $o,X1: hoare_1167836817_state > $o,X2: hoare_1167836817_state > $o] :
( ( ( hoare_123228589_state @ X2 @ X0 )
!= $true )
| ( ( hoare_123228589_state @ X1 @ X2 )
!= $true )
| ( ( hoare_123228589_state @ X1 @ X0 )
= $true ) ),
inference(rectify,[],[f2229]) ).
thf(f3493,plain,
wT_bodies = $true,
inference(cnf_transformation,[],[f1508]) ).
thf(f3498,plain,
( ( body @ pn )
= ( some_com @ y ) ),
inference(cnf_transformation,[],[f721]) ).
thf(f3760,plain,
hoare_1201148605gleton = $true,
inference(cnf_transformation,[],[f1674]) ).
thf(f3782,plain,
! [X0: com,X1: pname] :
( ( ( wt @ X0 )
= $true )
| ( ( some_com @ X0 )
!= ( body @ X1 ) )
| ( wT_bodies != $true ) ),
inference(cnf_transformation,[],[f2183]) ).
thf(f3813,plain,
! [X2: hoare_1167836817_state > $o,X0: hoare_1167836817_state > $o,X1: hoare_1167836817_state > $o] :
( ( ( hoare_123228589_state @ X1 @ X0 )
= $true )
| ( ( hoare_123228589_state @ X1 @ X2 )
!= $true )
| ( ( hoare_123228589_state @ X2 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f2977]) ).
thf(f3833,plain,
! [X0: com] :
( ( hoare_1201148605gleton != $true )
| ( ( hoare_123228589_state @ bot_bo70021908tate_o @ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo70021908tate_o ) )
= $true )
| ( wT_bodies != $true )
| ( ( wt @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f2269]) ).
thf(f4070,plain,
( ( hoare_123228589_state
@ ( image_575578384_state
@ ^ [Y0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Y0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo70021908tate_o ) )
!= $true ),
inference(cnf_transformation,[],[f2024]) ).
thf(f4356,plain,
! [X0: hoare_1167836817_state > $o] :
( ( hoare_123228589_state @ X0 @ bot_bo70021908tate_o )
= $true ),
inference(cnf_transformation,[],[f1760]) ).
thf(f4624,definition,
( spl167_2
<=> ( ( hoare_123228589_state
@ ( image_575578384_state
@ ^ [Y0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Y0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo70021908tate_o ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl167_2])],[avatar_definition]) ).
thf(f4626,plain,
( ( ( hoare_123228589_state
@ ( image_575578384_state
@ ^ [Y0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Y0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo70021908tate_o ) )
!= $true )
| spl167_2 ),
inference(avatar_component_clause,[],[f4624]) ).
thf(f4627,plain,
~ spl167_2,
inference(avatar_split_clause,[],[f4070,f4624]) ).
thf(f4634,definition,
( spl167_4
<=> ( hoare_1201148605gleton = $true ) ),
introduced(definition,[new_symbols(definition,[spl167_4])],[avatar_definition]) ).
thf(f4642,definition,
( spl167_6
<=> ( ( body @ pn )
= ( some_com @ y ) ) ),
introduced(definition,[new_symbols(definition,[spl167_6])],[avatar_definition]) ).
thf(f4644,plain,
( ( ( body @ pn )
= ( some_com @ y ) )
| ~ spl167_6 ),
inference(avatar_component_clause,[],[f4642]) ).
thf(f4645,plain,
spl167_6,
inference(avatar_split_clause,[],[f3498,f4642]) ).
thf(f4709,plain,
spl167_4,
inference(avatar_split_clause,[],[f3760,f4634]) ).
thf(f4772,definition,
( spl167_34
<=> ( wT_bodies = $true ) ),
introduced(definition,[new_symbols(definition,[spl167_34])],[avatar_definition]) ).
thf(f4775,plain,
spl167_34,
inference(avatar_split_clause,[],[f3493,f4772]) ).
thf(f4784,definition,
( spl167_36
<=> ! [X0: com] :
( ( ( hoare_123228589_state @ bot_bo70021908tate_o @ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo70021908tate_o ) )
= $true )
| ( ( wt @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl167_36])],[avatar_definition]) ).
thf(f4785,plain,
( ! [X0: com] :
( ( ( hoare_123228589_state @ bot_bo70021908tate_o @ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo70021908tate_o ) )
= $true )
| ( ( wt @ X0 )
!= $true ) )
| ~ spl167_36 ),
inference(avatar_component_clause,[],[f4784]) ).
thf(f4786,plain,
( spl167_36
| ~ spl167_4
| ~ spl167_34 ),
inference(avatar_split_clause,[],[f3833,f4772,f4634,f4784]) ).
thf(f4794,definition,
( spl167_38
<=> ! [X0: com,X1: pname] :
( ( ( wt @ X0 )
= $true )
| ( ( some_com @ X0 )
!= ( body @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl167_38])],[avatar_definition]) ).
thf(f4795,plain,
( ! [X0: com,X1: pname] :
( ( ( some_com @ X0 )
!= ( body @ X1 ) )
| ( ( wt @ X0 )
= $true ) )
| ~ spl167_38 ),
inference(avatar_component_clause,[],[f4794]) ).
thf(f4796,plain,
( ~ spl167_34
| spl167_38 ),
inference(avatar_split_clause,[],[f3782,f4794,f4772]) ).
thf(f4817,plain,
( ! [X0: com] :
( ( ( some_com @ X0 )
!= ( some_com @ y ) )
| ( ( wt @ X0 )
= $true ) )
| ~ spl167_6
| ~ spl167_38 ),
inference(superposition,[],[f4795,f4644]) ).
thf(f4853,plain,
( ( ( wt @ y )
= $true )
| ~ spl167_6
| ~ spl167_38 ),
inference(equality_resolution,[],[f4817]) ).
thf(f4855,definition,
( spl167_43
<=> ( ( wt @ y )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl167_43])],[avatar_definition]) ).
thf(f4857,plain,
( ( ( wt @ y )
= $true )
| ~ spl167_43 ),
inference(avatar_component_clause,[],[f4855]) ).
thf(f4858,plain,
( spl167_43
| ~ spl167_6
| ~ spl167_38 ),
inference(avatar_split_clause,[],[f4853,f4794,f4642,f4855]) ).
thf(f4893,plain,
( ! [X0: hoare_1167836817_state > $o] :
( ( ( hoare_123228589_state
@ ( image_575578384_state
@ ^ [Y0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Y0 ) )
@ ( dom_pname_com @ body ) )
@ X0 )
!= $true )
| ( $true != $true )
| ( ( hoare_123228589_state @ X0 @ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo70021908tate_o ) )
!= $true ) )
| spl167_2 ),
inference(superposition,[],[f4626,f3813]) ).
thf(f4895,plain,
( ! [X0: hoare_1167836817_state > $o] :
( ( ( hoare_123228589_state
@ ( image_575578384_state
@ ^ [Y0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Y0 ) )
@ ( dom_pname_com @ body ) )
@ X0 )
!= $true )
| ( ( hoare_123228589_state @ X0 @ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo70021908tate_o ) )
!= $true ) )
| spl167_2 ),
inference(trivial_inequality_removal,[],[f4893]) ).
thf(f5416,plain,
( ( ( hoare_123228589_state @ bot_bo70021908tate_o @ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo70021908tate_o ) )
!= $true )
| ( $true != $true )
| spl167_2 ),
inference(superposition,[],[f4895,f4356]) ).
thf(f5425,plain,
( ( ( hoare_123228589_state @ bot_bo70021908tate_o @ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo70021908tate_o ) )
!= $true )
| spl167_2 ),
inference(trivial_inequality_removal,[],[f5416]) ).
thf(f5433,definition,
( spl167_52
<=> ( ( hoare_123228589_state @ bot_bo70021908tate_o @ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo70021908tate_o ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl167_52])],[avatar_definition]) ).
thf(f5435,plain,
( ( ( hoare_123228589_state @ bot_bo70021908tate_o @ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo70021908tate_o ) )
!= $true )
| spl167_52 ),
inference(avatar_component_clause,[],[f5433]) ).
thf(f5436,plain,
( ~ spl167_52
| spl167_2 ),
inference(avatar_split_clause,[],[f5425,f4624,f5433]) ).
thf(f5459,plain,
( ( ( wt @ y )
!= $true )
| ( $true != $true )
| ~ spl167_36
| spl167_52 ),
inference(superposition,[],[f5435,f4785]) ).
thf(f5468,plain,
( ( ( wt @ y )
!= $true )
| ~ spl167_36
| spl167_52 ),
inference(trivial_inequality_removal,[],[f5459]) ).
thf(f5475,plain,
( $false
| ~ spl167_36
| ~ spl167_43
| spl167_52 ),
inference(forward_subsumption_resolution,[],[f5468,f4857]) ).
thf(f5476,plain,
( ~ spl167_36
| ~ spl167_43
| spl167_52 ),
inference(avatar_contradiction_clause,[],[f5475]) ).
cnf(s2,plain,
~ spl167_2,
inference(sat_conversion,[],[f4627]) ).
cnf(s5,plain,
spl167_6,
inference(sat_conversion,[],[f4645]) ).
cnf(s18,plain,
spl167_4,
inference(sat_conversion,[],[f4709]) ).
cnf(s38,plain,
spl167_34,
inference(sat_conversion,[],[f4775]) ).
cnf(s43,plain,
( ~ spl167_4
| ~ spl167_34
| spl167_36 ),
inference(sat_conversion,[],[f4786]) ).
cnf(s48,plain,
( ~ spl167_34
| spl167_38 ),
inference(sat_conversion,[],[f4796]) ).
cnf(s54,plain,
( ~ spl167_6
| ~ spl167_38
| spl167_43 ),
inference(sat_conversion,[],[f4858]) ).
cnf(s63,plain,
( spl167_2
| ~ spl167_52 ),
inference(sat_conversion,[],[f5436]) ).
cnf(s65,plain,
( ~ spl167_36
| ~ spl167_43
| spl167_52 ),
inference(sat_conversion,[],[f5476]) ).
cnf(s68,plain,
spl167_38,
inference(rat,[],[s48,s38]) ).
cnf(s69,plain,
spl167_36,
inference(rat,[],[s43,s38,s18]) ).
cnf(s75,plain,
spl167_43,
inference(rat,[],[s54,s68,s5]) ).
cnf(s76,plain,
spl167_52,
inference(rat,[],[s65,s69,s75]) ).
cnf(s77,plain,
spl167_2,
inference(rat,[],[s63,s76]) ).
cnf(s79,plain,
$false,
inference(rat,[],[s2,s77]) ).
thf(f5489,plain,
$false,
inference(avatar_sat_refutation,[],[s79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW474^2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n003.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 16:07:59 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.21/0.26 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
% 0.73/0.43 % (2681011)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.73/0.43 % (2681019)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=2199015643: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)
% 0.73/0.43 % (2681016)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4187049614:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.73/0.43 % (2681017)lrs+10_16_si=on:nwc=1.5:random_seed=1106265111:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.73/0.43 % (2681022)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.73/0.43 % (2681022)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
% 0.73/0.43 % (2681021)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=650529967:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.73/0.43 % (2681022)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=1216877872:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.73/0.43 % (2681018)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2764725075:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.73/0.43 % (2681017)Instruction limit reached!
% 0.73/0.43 % (2681017)------------------------------
% 0.73/0.43 % (2681017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.43 % (2681017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.43 % (2681017)CaDiCaL version: 2.1.3
% 0.73/0.43 % (2681017)Termination reason: Instruction limit
% 0.73/0.43 % (2681017)Termination phase: shuffling
% 0.73/0.43 % (2681017)Time elapsed: 0.009 s
% 0.73/0.43 % (2681017)Peak memory usage: 11 MB
% 0.73/0.43 % (2681017)Instructions burned: 19 (million)
% 0.73/0.43 % (2681018)Instruction limit reached!
% 0.73/0.43 % (2681018)------------------------------
% 0.73/0.43 % (2681018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.43 % (2681018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.43 % (2681018)CaDiCaL version: 2.1.3
% 0.73/0.43 % (2681018)Termination reason: Instruction limit
% 0.73/0.43 % (2681018)Termination phase: shuffling
% 0.73/0.43 % (2681018)Time elapsed: 0.003 s
% 0.73/0.43 % (2681018)Peak memory usage: 10 MB
% 0.73/0.43 % (2681018)Instructions burned: 4 (million)
% 0.73/0.43 % (2681020)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2776523999:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.73/0.43 % (2681021)Instruction limit reached!
% 0.73/0.43 % (2681021)------------------------------
% 0.73/0.43 % (2681021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.43 % (2681021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.43 % (2681021)CaDiCaL version: 2.1.3
% 0.73/0.43 % (2681021)Termination reason: Instruction limit
% 0.73/0.43 % (2681021)Termination phase: Property scanning
% 0.73/0.43 % (2681021)Time elapsed: 0.034 s
% 0.73/0.43 % (2681021)Peak memory usage: 11 MB
% 0.73/0.43 % (2681021)Instructions burned: 77 (million)
% 0.73/0.43 % (2681020)Instruction limit reached!
% 0.73/0.43 % (2681020)------------------------------
% 0.73/0.43 % (2681020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.43 % (2681020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.43 % (2681020)CaDiCaL version: 2.1.3
% 0.73/0.43 % (2681020)Termination reason: Instruction limit
% 0.73/0.43 % (2681020)Termination phase: shuffling
% 0.73/0.43 % (2681020)Time elapsed: 0.021 s
% 0.73/0.43 % (2681020)Peak memory usage: 10 MB
% 0.73/0.43 % (2681020)Instructions burned: 25 (million)
% 0.73/0.43 % (2681016)Instruction limit reached!
% 0.73/0.43 % (2681016)------------------------------
% 0.73/0.43 % (2681016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.43 % (2681016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.43 % (2681016)CaDiCaL version: 2.1.3
% 0.73/0.43 % (2681016)Termination reason: Instruction limit
% 0.73/0.43 % (2681016)Termination phase: Property scanning
% 0.73/0.43 % (2681016)Time elapsed: 0.037 s
% 0.73/0.43 % (2681016)Peak memory usage: 11 MB
% 0.73/0.43 % (2681016)Instructions burned: 87 (million)
% 0.73/0.43 % (2681030)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3282750784:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.73/0.43 % (2681030)Instruction limit reached!
% 0.73/0.43 % (2681030)------------------------------
% 0.73/0.43 % (2681030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.43 % (2681030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.43 % (2681030)CaDiCaL version: 2.1.3
% 0.73/0.43 % (2681030)Termination reason: Instruction limit
% 0.73/0.43 % (2681030)Termination phase: shuffling
% 0.73/0.43 % (2681030)Time elapsed: 0.002 s
% 0.73/0.43 % (2681030)Peak memory usage: 11 MB
% 0.73/0.43 % (2681030)Instructions burned: 3 (million)
% 0.73/0.43 % (2681031)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=980622587:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.73/0.43 % (2681033)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.73/0.43 % (2681035)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
% 0.73/0.43 % (2681035)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.73/0.43 % (2681031)Instruction limit reached!
% 0.73/0.43 % (2681031)------------------------------
% 0.73/0.43 % (2681031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.43 % (2681031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.43 % (2681031)CaDiCaL version: 2.1.3
% 0.73/0.43 % (2681031)Termination reason: Instruction limit
% 0.73/0.43 % (2681031)Termination phase: shuffling
% 0.73/0.43 % (2681031)Time elapsed: 0.003 s
% 0.73/0.43 % (2681031)Peak memory usage: 10 MB
% 0.73/0.43 % (2681031)Instructions burned: 5 (million)
% 0.73/0.43 % (2681033)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=325985646:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.73/0.43 % (2681034)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1256891508:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.73/0.43 % (2681035)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3428105046:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.73/0.43 % (2681033)Instruction limit reached!
% 0.73/0.43 % (2681033)------------------------------
% 0.73/0.43 % (2681033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.43 % (2681033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.43 % (2681033)CaDiCaL version: 2.1.3
% 0.73/0.43 % (2681033)Termination reason: Instruction limit
% 0.73/0.43 % (2681033)Termination phase: shuffling
% 0.73/0.43 % (2681033)Time elapsed: 0.004 s
% 0.73/0.43 % (2681033)Peak memory usage: 10 MB
% 0.73/0.43 % (2681033)Instructions burned: 9 (million)
% 0.73/0.43 % (2681034)Instruction limit reached!
% 0.73/0.43 % (2681034)------------------------------
% 0.73/0.43 % (2681034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.43 % (2681034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.43 % (2681034)CaDiCaL version: 2.1.3
% 0.73/0.43 % (2681034)Termination reason: Instruction limit
% 0.73/0.43 % (2681034)Termination phase: shuffling
% 0.73/0.43 % (2681034)Time elapsed: 0.006 s
% 0.73/0.43 % (2681034)Peak memory usage: 11 MB
% 0.73/0.43 % (2681034)Instructions burned: 13 (million)
% 0.73/0.43 % (2681035)Instruction limit reached!
% 0.73/0.43 % (2681035)------------------------------
% 0.73/0.43 % (2681035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.43 % (2681035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.43 % (2681035)CaDiCaL version: 2.1.3
% 0.73/0.43 % (2681035)Termination reason: Instruction limit
% 0.73/0.43 % (2681035)Termination phase: shuffling
% 0.73/0.43 % (2681035)Time elapsed: 0.013 s
% 0.73/0.43 % (2681035)Peak memory usage: 11 MB
% 0.73/0.43 % (2681035)Instructions burned: 29 (million)
% 0.73/0.43 % (2681037)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=2003966114:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.73/0.43 % (2681043)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.73/0.43 % (2681043)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=1610558990:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.73/0.43 % (2681043)Instruction limit reached!
% 0.73/0.43 % (2681043)------------------------------
% 0.73/0.43 % (2681043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.43 % (2681043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.43 % (2681043)CaDiCaL version: 2.1.3
% 0.73/0.43 % (2681043)Termination reason: Instruction limit
% 0.73/0.43 % (2681043)Termination phase: shuffling
% 0.73/0.43 % (2681043)Time elapsed: 0.002 s
% 0.73/0.43 % (2681043)Peak memory usage: 10 MB
% 0.73/0.43 % (2681043)Instructions burned: 2 (million)
% 0.73/0.43 % (2681044)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3986496648:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.73/0.43 % (2681042)lrs+10_1_si=on:cs=on:random_seed=3169980032:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.73/0.43 % (2681042)Instruction limit reached!
% 0.73/0.43 % (2681042)------------------------------
% 0.73/0.43 % (2681042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.43 % (2681042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.43 % (2681042)CaDiCaL version: 2.1.3
% 0.73/0.43 % (2681042)Termination reason: Instruction limit
% 0.73/0.43 % (2681042)Termination phase: shuffling
% 0.73/0.43 % (2681042)Time elapsed: 0.004 s
% 0.73/0.43 % (2681042)Peak memory usage: 10 MB
% 0.73/0.43 % (2681042)Instructions burned: 8 (million)
% 0.73/0.43 % (2681045)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=642482669:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.73/0.43 % (2681022)Instruction limit reached!
% 0.73/0.43 % (2681022)------------------------------
% 0.73/0.43 % (2681022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.43 % (2681022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.43 % (2681022)CaDiCaL version: 2.1.3
% 0.73/0.43 % (2681022)Termination reason: Instruction limit
% 0.73/0.43 % (2681022)Termination phase: Property scanning
% 0.73/0.43 % (2681022)Time elapsed: 0.095 s
% 0.73/0.43 % (2681022)Peak memory usage: 13 MB
% 0.73/0.43 % (2681022)Instructions burned: 159 (million)
% 0.73/0.43 % (2681019) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2681011-2681019"...
% 0.73/0.43 % (2681019)...printing done.
% 0.73/0.43 % (2681044)Instruction limit reached!
% 0.73/0.43 % (2681044)------------------------------
% 0.73/0.43 % (2681044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.43 % (2681019)Refutation found. Thanks to Tanya!
% 0.73/0.43 % SZS status Theorem for theBenchmark
% 0.73/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.73/0.43 % (2681019)------------------------------
% 0.73/0.43 % (2681019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.43 % (2681019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.43 % (2681019)CaDiCaL version: 2.1.3
% 0.73/0.43 % (2681019)Termination reason: Refutation
% 0.73/0.43 % (2681019)Time elapsed: 0.113 s
% 0.73/0.43 % (2681019)Peak memory usage: 17 MB
% 0.73/0.43 % (2681019)Instructions burned: 431 (million)
% 0.73/0.43 % (2681011)Success in time 0.162 s
% 0.73/0.43 % Vampire exiting
%------------------------------------------------------------------------------