%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW474_1 : 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 : n011.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 : Tue Sep 29 01:30:31 PM UTC 2026
% Result : Theorem 0.70s 1.00s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 76 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 75 ( 36 ~; 29 |; 2 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 61 ( 60 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 193 ( 193 usr; 43 con; 0-3 aty)
% Number of variables : 42 ( 42 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
com: $tType ).
tff(type_def_6,type,
pname: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
hoare_1848483303_state: $tType ).
tff(type_def_9,type,
option_com: $tType ).
tff(type_def_10,type,
fun_co1814942666_state: $tType ).
tff(type_def_11,type,
fun_pname_com: $tType ).
tff(type_def_12,type,
fun_pname_pname: $tType ).
tff(type_def_13,type,
fun_pname_bool: $tType ).
tff(type_def_14,type,
fun_pn447269700_state: $tType ).
tff(type_def_15,type,
fun_pname_option_com: $tType ).
tff(type_def_16,type,
fun_pn800050071e_bool: $tType ).
tff(type_def_17,type,
fun_pn250273176l_bool: $tType ).
tff(type_def_18,type,
fun_pn2079317538e_bool: $tType ).
tff(type_def_19,type,
fun_pn422929397l_bool: $tType ).
tff(type_def_20,type,
fun_pn1359388668l_bool: $tType ).
tff(type_def_21,type,
fun_bool_bool: $tType ).
tff(type_def_22,type,
fun_bo1549164019l_bool: $tType ).
tff(type_def_23,type,
fun_Ho862234382_pname: $tType ).
tff(type_def_24,type,
fun_Ho734851753e_bool: $tType ).
tff(type_def_25,type,
fun_Ho585232518e_bool: $tType ).
tff(type_def_26,type,
fun_Ho2109050089l_bool: $tType ).
tff(type_def_27,type,
fun_Ho1480763635e_bool: $tType ).
tff(type_def_28,type,
fun_Ho872578118l_bool: $tType ).
tff(type_def_29,type,
fun_Ho1489168363l_bool: $tType ).
tff(type_def_30,type,
fun_option_com_com: $tType ).
tff(type_def_31,type,
fun_fu1499449723_pname: $tType ).
tff(type_def_32,type,
fun_fu1430349052l_bool: $tType ).
tff(type_def_33,type,
fun_fu1387033222_state: $tType ).
tff(type_def_34,type,
fun_fu799392094on_com: $tType ).
tff(type_def_35,type,
fun_fu410713561e_bool: $tType ).
tff(type_def_36,type,
fun_fu31783638l_bool: $tType ).
tff(type_def_37,type,
fun_fu802393907l_bool: $tType ).
tff(type_def_38,type,
fun_fu931343505l_bool: $tType ).
tff(type_def_39,type,
fun_fu891110808_pname: $tType ).
tff(type_def_40,type,
fun_fu1783763359l_bool: $tType ).
tff(type_def_41,type,
fun_fu1404623273_state: $tType ).
tff(type_def_42,type,
fun_fu549469569on_com: $tType ).
tff(type_def_43,type,
fun_fu947309171l_bool: $tType ).
tff(type_def_44,type,
fun_fu77875581e_bool: $tType ).
tff(type_def_45,type,
fun_fu1478462177l_bool: $tType ).
tff(type_def_46,type,
fun_fu1259080373l_bool: $tType ).
tff(type_def_47,type,
fun_fu1664106117_pname: $tType ).
tff(type_def_48,type,
fun_fu399576434l_bool: $tType ).
tff(type_def_49,type,
fun_fu230733820_state: $tType ).
tff(type_def_50,type,
fun_fu1171508960l_bool: $tType ).
tff(type_def_51,type,
fun_fu2087345469l_bool: $tType ).
tff(type_def_52,type,
fun_fu1911931399l_bool: $tType ).
tff(type_def_53,type,
fun_fu1931361878_pname: $tType ).
tff(type_def_54,type,
fun_fu64031073l_bool: $tType ).
tff(type_def_55,type,
fun_fu1538259051_state: $tType ).
tff(type_def_56,type,
fun_fu296636465l_bool: $tType ).
tff(type_def_57,type,
fun_fu1137856163l_bool: $tType ).
tff(type_def_58,type,
fun_fu1483785331l_bool: $tType ).
tff(type_def_59,type,
fun_fu1438281908l_bool: $tType ).
tff(type_def_60,type,
fun_fu1086940979l_bool: $tType ).
tff(type_def_61,type,
fun_fu1690815831l_bool: $tType ).
tff(type_def_62,type,
fun_fu325884881l_bool: $tType ).
tff(type_def_63,type,
fun_fu2065874474l_bool: $tType ).
tff(type_def_64,type,
fun_fu867166233l_bool: $tType ).
tff(func_def_0,type,
cOMBB_573322273_pname: ( fun_co1814942666_state * fun_pname_com ) > fun_pn447269700_state ).
tff(func_def_1,type,
cOMBB_647938656_pname: ( fun_bool_bool * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_2,type,
cOMBB_1397003211_state: ( fun_bool_bool * fun_Ho734851753e_bool ) > fun_Ho734851753e_bool ).
tff(func_def_3,type,
cOMBB_307249310e_bool: ( fun_bool_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_4,type,
cOMBB_1356070853e_bool: ( fun_bool_bool * fun_fu1783763359l_bool ) > fun_fu1783763359l_bool ).
tff(func_def_5,type,
cOMBB_675860798_pname: ( fun_bo1549164019l_bool * fun_pname_bool ) > fun_pn250273176l_bool ).
tff(func_def_6,type,
cOMBB_215065709_state: ( fun_bo1549164019l_bool * fun_Ho734851753e_bool ) > fun_Ho2109050089l_bool ).
tff(func_def_7,type,
cOMBB_2095475776e_bool: ( fun_bo1549164019l_bool * fun_fu1430349052l_bool ) > fun_fu31783638l_bool ).
tff(func_def_8,type,
cOMBB_1418941603e_bool: ( fun_bo1549164019l_bool * fun_fu1783763359l_bool ) > fun_fu947309171l_bool ).
tff(func_def_9,type,
cOMBB_689948150l_bool: ( fun_bo1549164019l_bool * fun_fu399576434l_bool ) > fun_fu1171508960l_bool ).
tff(func_def_10,type,
cOMBB_1936369445l_bool: ( fun_bo1549164019l_bool * fun_fu64031073l_bool ) > fun_fu296636465l_bool ).
tff(func_def_11,type,
cOMBB_923936821_pname: ( fun_option_com_com * fun_pname_option_com ) > fun_pname_com ).
tff(func_def_12,type,
cOMBC_1149511130e_bool: fun_pn800050071e_bool > fun_pn800050071e_bool ).
tff(func_def_13,type,
cOMBC_1058051404l_bool: fun_pn422929397l_bool > fun_fu410713561e_bool ).
tff(func_def_14,type,
cOMBC_1947058646e_bool: fun_Ho1480763635e_bool > fun_Ho1480763635e_bool ).
tff(func_def_15,type,
cOMBC_1803918242l_bool: fun_Ho1489168363l_bool > fun_fu77875581e_bool ).
tff(func_def_16,type,
cOMBC_1284144636l_bool: fun_fu802393907l_bool > fun_fu802393907l_bool ).
tff(func_def_17,type,
cOMBC_1988546018l_bool: fun_fu931343505l_bool > fun_fu2087345469l_bool ).
tff(func_def_18,type,
cOMBC_80545690l_bool: fun_fu1478462177l_bool > fun_fu1478462177l_bool ).
tff(func_def_19,type,
cOMBC_1100692246l_bool: fun_fu1259080373l_bool > fun_fu1137856163l_bool ).
tff(func_def_20,type,
cOMBC_7971162l_bool: fun_fu1911931399l_bool > fun_fu1911931399l_bool ).
tff(func_def_21,type,
cOMBC_1690116422l_bool: fun_fu1483785331l_bool > fun_fu1483785331l_bool ).
tff(func_def_22,type,
cOMBC_336095980l_bool: fun_fu1086940979l_bool > fun_fu1086940979l_bool ).
tff(func_def_23,type,
cOMBC_1420373658l_bool: fun_fu325884881l_bool > fun_fu325884881l_bool ).
tff(func_def_24,type,
cOMBK_pname_pname: pname > fun_pname_pname ).
tff(func_def_25,type,
cOMBK_1568566301_state: pname > fun_Ho862234382_pname ).
tff(func_def_26,type,
cOMBK_948730864e_bool: pname > fun_fu1499449723_pname ).
tff(func_def_27,type,
cOMBK_1423274227e_bool: pname > fun_fu891110808_pname ).
tff(func_def_28,type,
cOMBK_bool_pname: bool > fun_pname_bool ).
tff(func_def_29,type,
cOMBK_2059960192_state: bool > fun_Ho734851753e_bool ).
tff(func_def_30,type,
cOMBK_1857069011e_bool: bool > fun_fu1430349052l_bool ).
tff(func_def_31,type,
cOMBK_2110745040e_bool: bool > fun_fu1783763359l_bool ).
tff(func_def_32,type,
cOMBK_2014663096l_bool: bool > fun_fu64031073l_bool ).
tff(func_def_33,type,
cOMBK_240819937_pname: hoare_1848483303_state > fun_pn447269700_state ).
tff(func_def_34,type,
cOMBK_354802397e_bool: hoare_1848483303_state > fun_fu1387033222_state ).
tff(func_def_35,type,
cOMBK_1270376774e_bool: hoare_1848483303_state > fun_fu1404623273_state ).
tff(func_def_36,type,
cOMBK_37193422_pname: fun_pname_bool > fun_pn800050071e_bool ).
tff(func_def_37,type,
cOMBK_1288377053_state: fun_pname_bool > fun_Ho585232518e_bool ).
tff(func_def_38,type,
cOMBK_1197227241_pname: fun_Ho734851753e_bool > fun_pn2079317538e_bool ).
tff(func_def_39,type,
cOMBK_1751623554_state: fun_Ho734851753e_bool > fun_Ho1480763635e_bool ).
tff(func_def_40,type,
cOMBS_568398431l_bool: ( fun_pn250273176l_bool * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_41,type,
cOMBS_1990964188l_bool: ( fun_Ho2109050089l_bool * fun_Ho734851753e_bool ) > fun_Ho734851753e_bool ).
tff(func_def_42,type,
cOMBS_350070575l_bool: ( fun_fu31783638l_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_43,type,
cOMBS_1278217668l_bool: ( fun_fu947309171l_bool * fun_fu1783763359l_bool ) > fun_fu1783763359l_bool ).
tff(func_def_44,type,
cOMBS_811933079l_bool: ( fun_fu1171508960l_bool * fun_fu399576434l_bool ) > fun_fu399576434l_bool ).
tff(func_def_45,type,
cOMBS_101732372l_bool: ( fun_fu296636465l_bool * fun_fu64031073l_bool ) > fun_fu64031073l_bool ).
tff(func_def_46,type,
wt: com > bool ).
tff(func_def_47,type,
wT_bodies: bool ).
tff(func_def_48,type,
body: fun_pname_option_com ).
tff(func_def_49,type,
body_1: fun_pname_com ).
tff(func_def_50,type,
finite_finite_pname: fun_fu1430349052l_bool ).
tff(func_def_51,type,
finite1765195604_state: fun_fu1783763359l_bool ).
tff(func_def_52,type,
finite595471783e_bool: fun_fu399576434l_bool ).
tff(func_def_53,type,
finite297877756e_bool: fun_fu64031073l_bool ).
tff(func_def_54,type,
finite786885583l_bool: fun_fu1438281908l_bool ).
tff(func_def_55,type,
finite181314444l_bool: fun_fu1690815831l_bool ).
tff(func_def_56,type,
finite1491191519l_bool: fun_fu2065874474l_bool ).
tff(func_def_57,type,
finite1393641268l_bool: fun_fu867166233l_bool ).
tff(func_def_58,type,
hoare_Mirabelle_MGT: fun_co1814942666_state ).
tff(func_def_59,type,
hoare_1193527299_state: fun_Ho734851753e_bool > fun_fu1783763359l_bool ).
tff(func_def_60,type,
hoare_1310879719gleton: bool ).
tff(func_def_61,type,
dom_pname_com: fun_pname_option_com > fun_pname_bool ).
tff(func_def_62,type,
dom_fu2081503504ol_com: fun_fu799392094on_com > fun_fu1430349052l_bool ).
tff(func_def_63,type,
dom_fu475558963ol_com: fun_fu549469569on_com > fun_fu1783763359l_bool ).
tff(func_def_64,type,
some_com: com > option_com ).
tff(func_def_65,type,
the_com: fun_option_com_com ).
tff(func_def_66,type,
bot_bo844097828e_bool: fun_pname_bool ).
tff(func_def_67,type,
bot_bo454148287e_bool: fun_Ho734851753e_bool ).
tff(func_def_68,type,
bot_bo1649642514l_bool: fun_fu1430349052l_bool ).
tff(func_def_69,type,
bot_bo2068035593l_bool: fun_fu1783763359l_bool ).
tff(func_def_70,type,
bot_bo1537088220l_bool: fun_fu399576434l_bool ).
tff(func_def_71,type,
bot_bo973295223l_bool: fun_fu64031073l_bool ).
tff(func_def_72,type,
ord_le313189616e_bool: fun_fu802393907l_bool ).
tff(func_def_73,type,
ord_le1119700979e_bool: fun_fu1478462177l_bool ).
tff(func_def_74,type,
ord_le675606854l_bool: fun_fu1911931399l_bool ).
tff(func_def_75,type,
ord_le1819283413l_bool: fun_fu1483785331l_bool ).
tff(func_def_76,type,
ord_le1375671464l_bool: fun_fu1086940979l_bool ).
tff(func_def_77,type,
ord_le101734315l_bool: fun_fu325884881l_bool ).
tff(func_def_78,type,
collect_pname: fun_pname_bool > fun_pname_bool ).
tff(func_def_79,type,
collec1708318610_state: fun_Ho734851753e_bool > fun_Ho734851753e_bool ).
tff(func_def_80,type,
collec1974731493e_bool: fun_fu1430349052l_bool > fun_fu1430349052l_bool ).
tff(func_def_81,type,
collec1657840446e_bool: fun_fu1783763359l_bool > fun_fu1783763359l_bool ).
tff(func_def_82,type,
collec1613912337l_bool: fun_fu399576434l_bool > fun_fu399576434l_bool ).
tff(func_def_83,type,
collec2020384458l_bool: fun_fu64031073l_bool > fun_fu64031073l_bool ).
tff(func_def_84,type,
collec792590109l_bool: fun_fu1438281908l_bool > fun_fu1438281908l_bool ).
tff(func_def_85,type,
collec1616186998l_bool: fun_fu1690815831l_bool > fun_fu1690815831l_bool ).
tff(func_def_86,type,
image_pname_pname: ( fun_pname_pname * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_87,type,
image_1256224870_state: ( fun_pn447269700_state * fun_pname_bool ) > fun_Ho734851753e_bool ).
tff(func_def_88,type,
image_47868345e_bool: ( fun_pn800050071e_bool * fun_pname_bool ) > fun_fu1430349052l_bool ).
tff(func_def_89,type,
image_2051793258e_bool: ( fun_pn2079317538e_bool * fun_pname_bool ) > fun_fu1783763359l_bool ).
tff(func_def_90,type,
image_1642285373l_bool: ( fun_pn422929397l_bool * fun_pname_bool ) > fun_fu399576434l_bool ).
tff(func_def_91,type,
image_1820576158l_bool: ( fun_pn1359388668l_bool * fun_pname_bool ) > fun_fu64031073l_bool ).
tff(func_def_92,type,
image_2075962154_pname: ( fun_Ho862234382_pname * fun_Ho734851753e_bool ) > fun_pname_bool ).
tff(func_def_93,type,
image_983321428e_bool: ( fun_Ho585232518e_bool * fun_Ho734851753e_bool ) > fun_fu1430349052l_bool ).
tff(func_def_94,type,
image_249571983e_bool: ( fun_Ho1480763635e_bool * fun_Ho734851753e_bool ) > fun_fu1783763359l_bool ).
tff(func_def_95,type,
image_7400930l_bool: ( fun_Ho872578118l_bool * fun_Ho734851753e_bool ) > fun_fu399576434l_bool ).
tff(func_def_96,type,
image_783059513l_bool: ( fun_Ho1489168363l_bool * fun_Ho734851753e_bool ) > fun_fu64031073l_bool ).
tff(func_def_97,type,
image_1283814551_pname: ( fun_fu1499449723_pname * fun_fu1430349052l_bool ) > fun_pname_bool ).
tff(func_def_98,type,
image_1916896084_state: ( fun_fu1387033222_state * fun_fu1430349052l_bool ) > fun_Ho734851753e_bool ).
tff(func_def_99,type,
image_1825746272_pname: ( fun_fu891110808_pname * fun_fu1783763359l_bool ) > fun_pname_bool ).
tff(func_def_100,type,
image_730818763_state: ( fun_fu1404623273_state * fun_fu1783763359l_bool ) > fun_Ho734851753e_bool ).
tff(func_def_101,type,
image_1705983821_pname: ( fun_fu1664106117_pname * fun_fu399576434l_bool ) > fun_pname_bool ).
tff(func_def_102,type,
image_2078273054_state: ( fun_fu230733820_state * fun_fu399576434l_bool ) > fun_Ho734851753e_bool ).
tff(func_def_103,type,
image_2036190066_pname: ( fun_fu1931361878_pname * fun_fu64031073l_bool ) > fun_pname_bool ).
tff(func_def_104,type,
image_71018297_state: ( fun_fu1538259051_state * fun_fu64031073l_bool ) > fun_Ho734851753e_bool ).
tff(func_def_105,type,
insert_pname: ( pname * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_106,type,
insert668001005_state: ( hoare_1848483303_state * fun_Ho734851753e_bool ) > fun_Ho734851753e_bool ).
tff(func_def_107,type,
insert1325755072e_bool: ( fun_pname_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_108,type,
insert1390540323e_bool: ( fun_Ho734851753e_bool * fun_fu1783763359l_bool ) > fun_fu1783763359l_bool ).
tff(func_def_109,type,
insert1117693814l_bool: ( fun_fu1430349052l_bool * fun_fu399576434l_bool ) > fun_fu399576434l_bool ).
tff(func_def_110,type,
insert1735796133l_bool: ( fun_fu1783763359l_bool * fun_fu64031073l_bool ) > fun_fu64031073l_bool ).
tff(func_def_111,type,
fFalse: bool ).
tff(func_def_112,type,
fNot: fun_bool_bool ).
tff(func_def_113,type,
fTrue: bool ).
tff(func_def_114,type,
fconj: fun_bo1549164019l_bool ).
tff(func_def_115,type,
fdisj: fun_bo1549164019l_bool ).
tff(func_def_116,type,
fequal_pname: fun_pn800050071e_bool ).
tff(func_def_117,type,
fequal364418600_state: fun_Ho1480763635e_bool ).
tff(func_def_118,type,
fequal533582459e_bool: fun_fu802393907l_bool ).
tff(func_def_119,type,
fequal1145749800e_bool: fun_fu1478462177l_bool ).
tff(func_def_120,type,
fimplies: fun_bo1549164019l_bool ).
tff(func_def_121,type,
hAPP_c379084956_state: ( fun_co1814942666_state * com ) > hoare_1848483303_state ).
tff(func_def_122,type,
hAPP_pname_com: ( fun_pname_com * pname ) > com ).
tff(func_def_123,type,
hAPP_pname_pname: ( fun_pname_pname * pname ) > pname ).
tff(func_def_124,type,
hAPP_pname_bool: ( fun_pname_bool * pname ) > bool ).
tff(func_def_125,type,
hAPP_p675228438_state: ( fun_pn447269700_state * pname ) > hoare_1848483303_state ).
tff(func_def_126,type,
hAPP_p799580910on_com: ( fun_pname_option_com * pname ) > option_com ).
tff(func_def_127,type,
hAPP_p61793385e_bool: ( fun_pn800050071e_bool * pname ) > fun_pname_bool ).
tff(func_def_128,type,
hAPP_p393069232l_bool: ( fun_pn250273176l_bool * pname ) > fun_bool_bool ).
tff(func_def_129,type,
hAPP_p276714170e_bool: ( fun_pn2079317538e_bool * pname ) > fun_Ho734851753e_bool ).
tff(func_def_130,type,
hAPP_p338031245l_bool: ( fun_pn422929397l_bool * pname ) > fun_fu1430349052l_bool ).
tff(func_def_131,type,
hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).
tff(func_def_132,type,
hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).
tff(func_def_133,type,
hAPP_H1494965722_pname: ( fun_Ho862234382_pname * hoare_1848483303_state ) > pname ).
tff(func_def_134,type,
hAPP_H2060173127e_bool: ( fun_Ho734851753e_bool * hoare_1848483303_state ) > bool ).
tff(func_def_135,type,
hAPP_H1355725988e_bool: ( fun_Ho585232518e_bool * hoare_1848483303_state ) > fun_pname_bool ).
tff(func_def_136,type,
hAPP_H590162869l_bool: ( fun_Ho2109050089l_bool * hoare_1848483303_state ) > fun_bool_bool ).
tff(func_def_137,type,
hAPP_H1618070847e_bool: ( fun_Ho1480763635e_bool * hoare_1848483303_state ) > fun_Ho734851753e_bool ).
tff(func_def_138,type,
hAPP_H1199573897l_bool: ( fun_Ho1489168363l_bool * hoare_1848483303_state ) > fun_fu1783763359l_bool ).
tff(func_def_139,type,
hAPP_option_com_com: ( fun_option_com_com * option_com ) > com ).
tff(func_def_140,type,
hAPP_f1297739591_pname: ( fun_fu1499449723_pname * fun_pname_bool ) > pname ).
tff(func_def_141,type,
hAPP_f1664156314l_bool: ( fun_fu1430349052l_bool * fun_pname_bool ) > bool ).
tff(func_def_142,type,
hAPP_f141816996_state: ( fun_fu1387033222_state * fun_pname_bool ) > hoare_1848483303_state ).
tff(func_def_143,type,
hAPP_f2138803836on_com: ( fun_fu799392094on_com * fun_pname_bool ) > option_com ).
tff(func_def_144,type,
hAPP_f759274231e_bool: ( fun_fu410713561e_bool * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_145,type,
hAPP_f1476298914l_bool: ( fun_fu31783638l_bool * fun_pname_bool ) > fun_bool_bool ).
tff(func_def_146,type,
hAPP_f434788991l_bool: ( fun_fu802393907l_bool * fun_pname_bool ) > fun_fu1430349052l_bool ).
tff(func_def_147,type,
hAPP_f556039215l_bool: ( fun_fu931343505l_bool * fun_pname_bool ) > fun_fu399576434l_bool ).
tff(func_def_148,type,
hAPP_f50667184_pname: ( fun_fu891110808_pname * fun_Ho734851753e_bool ) > pname ).
tff(func_def_149,type,
hAPP_f355887345l_bool: ( fun_fu1783763359l_bool * fun_Ho734851753e_bool ) > bool ).
tff(func_def_150,type,
hAPP_f2099317627_state: ( fun_fu1404623273_state * fun_Ho734851753e_bool ) > hoare_1848483303_state ).
tff(func_def_151,type,
hAPP_f636233299on_com: ( fun_fu549469569on_com * fun_Ho734851753e_bool ) > option_com ).
tff(func_def_152,type,
hAPP_f170941835l_bool: ( fun_fu947309171l_bool * fun_Ho734851753e_bool ) > fun_bool_bool ).
tff(func_def_153,type,
hAPP_f617245717e_bool: ( fun_fu77875581e_bool * fun_Ho734851753e_bool ) > fun_Ho734851753e_bool ).
tff(func_def_154,type,
hAPP_f15397171l_bool: ( fun_fu1478462177l_bool * fun_Ho734851753e_bool ) > fun_fu1783763359l_bool ).
tff(func_def_155,type,
hAPP_f1258983629l_bool: ( fun_fu1259080373l_bool * fun_Ho734851753e_bool ) > fun_fu64031073l_bool ).
tff(func_def_156,type,
hAPP_f1935102916l_bool: ( fun_fu399576434l_bool * fun_fu1430349052l_bool ) > bool ).
tff(func_def_157,type,
hAPP_f32027384l_bool: ( fun_fu1171508960l_bool * fun_fu1430349052l_bool ) > fun_bool_bool ).
tff(func_def_158,type,
hAPP_f559147733l_bool: ( fun_fu2087345469l_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_159,type,
hAPP_f510955609l_bool: ( fun_fu1911931399l_bool * fun_fu1430349052l_bool ) > fun_fu399576434l_bool ).
tff(func_def_160,type,
hAPP_f1526158591l_bool: ( fun_fu64031073l_bool * fun_fu1783763359l_bool ) > bool ).
tff(func_def_161,type,
hAPP_f2022158333l_bool: ( fun_fu296636465l_bool * fun_fu1783763359l_bool ) > fun_bool_bool ).
tff(func_def_162,type,
hAPP_f1360064833l_bool: ( fun_fu1137856163l_bool * fun_fu1783763359l_bool ) > fun_fu1783763359l_bool ).
tff(func_def_163,type,
hAPP_f511954751l_bool: ( fun_fu1483785331l_bool * fun_fu1783763359l_bool ) > fun_fu64031073l_bool ).
tff(func_def_164,type,
hAPP_f389811538l_bool: ( fun_fu1438281908l_bool * fun_fu399576434l_bool ) > bool ).
tff(func_def_165,type,
hAPP_f1759205631l_bool: ( fun_fu1086940979l_bool * fun_fu399576434l_bool ) > fun_fu1438281908l_bool ).
tff(func_def_166,type,
hAPP_f1359865257l_bool: ( fun_fu1690815831l_bool * fun_fu64031073l_bool ) > bool ).
tff(func_def_167,type,
hAPP_f1607907235l_bool: ( fun_fu325884881l_bool * fun_fu64031073l_bool ) > fun_fu1690815831l_bool ).
tff(func_def_168,type,
hAPP_f595608956l_bool: ( fun_fu2065874474l_bool * fun_fu1438281908l_bool ) > bool ).
tff(func_def_169,type,
hAPP_f844837559l_bool: ( fun_fu867166233l_bool * fun_fu1690815831l_bool ) > bool ).
tff(func_def_170,type,
member_pname: fun_pn422929397l_bool ).
tff(func_def_171,type,
member591555156_state: fun_Ho1489168363l_bool ).
tff(func_def_172,type,
member799430823e_bool: fun_fu931343505l_bool ).
tff(func_def_173,type,
member1948767740e_bool: fun_fu1259080373l_bool ).
tff(func_def_174,type,
fa: fun_Ho734851753e_bool ).
tff(func_def_175,type,
pn: pname ).
tff(func_def_176,type,
y: com ).
tff(func_def_177,type,
sK0: fun_Ho734851753e_bool > pname ).
tff(func_def_178,type,
sK1: ( fun_fu1783763359l_bool * fun_Ho734851753e_bool ) > hoare_1848483303_state ).
tff(func_def_179,type,
sK2: ( fun_fu1783763359l_bool * fun_Ho734851753e_bool ) > fun_Ho734851753e_bool ).
tff(func_def_180,type,
sK3: fun_Ho734851753e_bool > hoare_1848483303_state ).
tff(func_def_181,type,
sK4: fun_Ho734851753e_bool > hoare_1848483303_state ).
tff(func_def_182,type,
sK5: ( fun_Ho734851753e_bool * fun_Ho734851753e_bool ) > hoare_1848483303_state ).
tff(func_def_183,type,
sK6: ( fun_pn447269700_state * fun_pname_bool * fun_Ho734851753e_bool ) > fun_pname_bool ).
tff(func_def_184,type,
sK7: ( fun_Ho734851753e_bool * fun_pn447269700_state * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_185,type,
sK8: pname > com ).
tff(func_def_186,type,
sK9: ( hoare_1848483303_state * fun_pn447269700_state * fun_pname_bool ) > pname ).
tff(func_def_187,type,
sK10: ( hoare_1848483303_state * fun_pn447269700_state * fun_pname_bool ) > pname ).
tff(func_def_188,type,
sK11: ( fun_fu1430349052l_bool * fun_pname_bool ) > pname ).
tff(func_def_189,type,
sK12: ( fun_fu1430349052l_bool * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_190,type,
sK13: ( fun_pname_bool * fun_pname_bool ) > pname ).
tff(func_def_191,type,
sK14: fun_pname_bool > pname ).
tff(func_def_192,type,
sK15: fun_pname_bool > pname ).
tff(pred_def_1,type,
hBOOL: bool > $o ).
tff(f1,axiom,
! [X0: fun_Ho734851753e_bool] : hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),bot_bo454148287e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).
tff(f5,axiom,
! [X0: fun_Ho734851753e_bool,X1: fun_Ho734851753e_bool,X2: fun_Ho734851753e_bool] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X1),X2))
=> ( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),X1))
=> hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cut) ).
tff(f7,axiom,
! [X0: fun_Ho734851753e_bool,X1: hoare_1848483303_state,X2: fun_Ho734851753e_bool] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),insert668001005_state(X1,X2)))
=> ( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),insert668001005_state(X1,bot_bo454148287e_bool)))
& hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_derivs__insertD) ).
tff(f104,axiom,
! [X0: com] :
( hBOOL(hoare_1310879719gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(wt(X0))
=> hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,X0),bot_bo454148287e_bool))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_MGF) ).
tff(f289,axiom,
! [X0: pname,X1: com] :
( hBOOL(wT_bodies)
=> ( ( hAPP_p799580910on_com(body,X0) = some_com(X1) )
=> hBOOL(wt(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_288_WT__bodiesD) ).
tff(f368,axiom,
hBOOL(hoare_1310879719gleton),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f369,axiom,
hBOOL(wT_bodies),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
tff(f373,axiom,
hAPP_p799580910on_com(body,pn) = some_com(y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
tff(f375,conjecture,
hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),bot_bo454148287e_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).
tff(f376,negated_conjecture,
~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),bot_bo454148287e_bool))),
inference(negated_conjecture,[status(cth)],[f375]) ).
tff(f377,plain,
~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),bot_bo454148287e_bool))),
inference(flattening,[],[f376]) ).
tff(f380,plain,
! [X0: com] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,X0),bot_bo454148287e_bool)))
| ~ hBOOL(wt(X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1310879719gleton) ),
inference(ennf_transformation,[],[f104]) ).
tff(f381,plain,
! [X0: com] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,X0),bot_bo454148287e_bool)))
| ~ hBOOL(wt(X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1310879719gleton) ),
inference(flattening,[],[f380]) ).
tff(f382,plain,
! [X0: pname,X1: com] :
( hBOOL(wt(X1))
| ( hAPP_p799580910on_com(body,X0) != some_com(X1) )
| ~ hBOOL(wT_bodies) ),
inference(ennf_transformation,[],[f289]) ).
tff(f383,plain,
! [X0: pname,X1: com] :
( hBOOL(wt(X1))
| ( hAPP_p799580910on_com(body,X0) != some_com(X1) )
| ~ hBOOL(wT_bodies) ),
inference(flattening,[],[f382]) ).
tff(f430,plain,
! [X0: fun_Ho734851753e_bool,X1: hoare_1848483303_state,X2: fun_Ho734851753e_bool] :
( ( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),insert668001005_state(X1,bot_bo454148287e_bool)))
& hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),X2)) )
| ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),insert668001005_state(X1,X2))) ),
inference(ennf_transformation,[],[f7]) ).
tff(f433,plain,
! [X0: fun_Ho734851753e_bool,X1: fun_Ho734851753e_bool,X2: fun_Ho734851753e_bool] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),X2))
| ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),X1))
| ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X1),X2)) ),
inference(ennf_transformation,[],[f5]) ).
tff(f434,plain,
! [X0: fun_Ho734851753e_bool,X1: fun_Ho734851753e_bool,X2: fun_Ho734851753e_bool] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),X2))
| ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),X1))
| ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X1),X2)) ),
inference(flattening,[],[f433]) ).
tff(f542,plain,
hBOOL(hoare_1310879719gleton),
inference(cnf_transformation,[],[f368]) ).
tff(f543,plain,
hBOOL(wT_bodies),
inference(cnf_transformation,[],[f369]) ).
tff(f547,plain,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(cnf_transformation,[],[f373]) ).
tff(f549,plain,
~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),bot_bo454148287e_bool))),
inference(cnf_transformation,[],[f377]) ).
tff(f552,plain,
! [X0: com] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,X0),bot_bo454148287e_bool)))
| ~ hBOOL(wt(X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1310879719gleton) ),
inference(cnf_transformation,[],[f381]) ).
tff(f553,plain,
! [X0: pname,X1: com] :
( hBOOL(wt(X1))
| ( hAPP_p799580910on_com(body,X0) != some_com(X1) )
| ~ hBOOL(wT_bodies) ),
inference(cnf_transformation,[],[f383]) ).
tff(f637,plain,
! [X2: fun_Ho734851753e_bool,X0: fun_Ho734851753e_bool,X1: hoare_1848483303_state] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),insert668001005_state(X1,bot_bo454148287e_bool)))
| ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),insert668001005_state(X1,X2))) ),
inference(cnf_transformation,[],[f430]) ).
tff(f639,plain,
! [X2: fun_Ho734851753e_bool,X0: fun_Ho734851753e_bool,X1: fun_Ho734851753e_bool] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),X2))
| ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),X1))
| ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X1),X2)) ),
inference(cnf_transformation,[],[f434]) ).
tff(f643,plain,
! [X0: fun_Ho734851753e_bool] : hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),bot_bo454148287e_bool)),
inference(cnf_transformation,[],[f1]) ).
tff(f808,plain,
! [X0: pname,X1: com] :
( ( hAPP_p799580910on_com(body,X0) != some_com(X1) )
| hBOOL(wt(X1)) ),
inference(forward_subsumption_resolution,[],[f553,f543]) ).
tff(f809,plain,
! [X0: com] :
( ( some_com(y) != some_com(X0) )
| hBOOL(wt(X0)) ),
inference(superposition,[],[f808,f547]) ).
tff(f817,plain,
hBOOL(wt(y)),
inference(equality_resolution,[],[f809]) ).
tff(f1555,plain,
! [X0: fun_Ho734851753e_bool] :
( ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),X0))
| ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),bot_bo454148287e_bool))) ),
inference(resolution,[],[f639,f549]) ).
tff(f1570,plain,
~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),bot_bo454148287e_bool))),
inference(resolution,[],[f1555,f643]) ).
tff(f1578,plain,
! [X0: fun_Ho734851753e_bool] : ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),X0))),
inference(resolution,[],[f1570,f637]) ).
tff(f1587,plain,
! [X0: com] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,X0),bot_bo454148287e_bool)))
| ~ hBOOL(wt(X0))
| ~ hBOOL(hoare_1310879719gleton) ),
inference(forward_subsumption_resolution,[],[f552,f543]) ).
tff(f1588,plain,
! [X0: com] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,X0),bot_bo454148287e_bool)))
| ~ hBOOL(wt(X0)) ),
inference(forward_subsumption_resolution,[],[f1587,f542]) ).
tff(f1604,plain,
~ hBOOL(wt(y)),
inference(resolution,[],[f1588,f1578]) ).
tff(f1608,plain,
$false,
inference(forward_subsumption_resolution,[],[f1604,f817]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW474_1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n011.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 14:07:00 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.70/1.00 % (3398433)Detected formulas, will run a generic FOF schedule.
% 0.70/1.00 % (3398442)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2718531504:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.70/1.00 % (3398442)First to succeed.
% 0.70/1.00 % (3398442)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3398433"
% 0.70/1.00 % (3398441)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3500250574:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.70/1.00 % (3398440)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2413069527:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.70/1.00 % (3398444)dis-21_1_sil=8000:lcm=predicate:random_seed=3366354500:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.70/1.00 % (3398439)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=983032596:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.70/1.00 % (3398438)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1951278794:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.70/1.00 % (3398441)Also succeeded, but the first one will report.
% 0.70/1.00 % (3398443)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3734534197:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.70/1.00 % (3398444)Also succeeded, but the first one will report.
% 0.70/1.00 % (3398443)Also succeeded, but the first one will report.
% 0.70/1.00 % (3398442)Refutation found. Thanks to Tanya!
% 0.70/1.00 % SZS status Theorem for theBenchmark
% 0.70/1.00 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/1.21 % (3398442)------------------------------
% 0.23/1.21 % (3398442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.23/1.21 % (3398442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/1.21 % (3398442)CaDiCaL version: 2.1.3
% 0.23/1.21 % (3398442)Termination reason: Refutation
% 0.23/1.21 % (3398442)Time elapsed: 0.018 s
% 0.23/1.21 % (3398442)Peak memory usage: 89 MB
% 0.23/1.21 % (3398442)Instructions burned: 51 (million)
% 0.23/1.21 % (3398442)------------------------------
% 0.23/1.21 % (3398442)------------------------------
% 0.23/1.21 % (3398433)Success in time 0.329 s
% 0.23/1.21 % Vampire exiting
%------------------------------------------------------------------------------