%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW474_1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 01:40:11 PM UTC 2026
% Result : Theorem 2.05s 0.49s
% Output : Refutation 2.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 65 ( 29 unt; 0 typ; 4 def)
% Number of atoms : 133 ( 14 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 131 ( 63 ~; 57 |; 0 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 61 ( 60 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 213 ( 213 usr; 43 con; 0-3 aty)
% Number of variables : 50 ( 0 sgn 50 !; 0 ?; 50 :)
% 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_fu399576434l_bool > fun_fu1430349052l_bool ).
tff(func_def_178,type,
sK1: fun_fu64031073l_bool > fun_fu1783763359l_bool ).
tff(func_def_179,type,
sK2: fun_fu1783763359l_bool > fun_Ho734851753e_bool ).
tff(func_def_180,type,
sK3: fun_fu1430349052l_bool > fun_pname_bool ).
tff(func_def_181,type,
sK4: fun_Ho734851753e_bool > hoare_1848483303_state ).
tff(func_def_182,type,
sK5: fun_pname_bool > pname ).
tff(func_def_183,type,
sK6: fun_fu399576434l_bool > fun_fu1430349052l_bool ).
tff(func_def_184,type,
sK7: fun_fu64031073l_bool > fun_fu1783763359l_bool ).
tff(func_def_185,type,
sK8: fun_fu1783763359l_bool > fun_Ho734851753e_bool ).
tff(func_def_186,type,
sK9: fun_fu1430349052l_bool > fun_pname_bool ).
tff(func_def_187,type,
sK10: fun_Ho734851753e_bool > hoare_1848483303_state ).
tff(func_def_188,type,
sK11: fun_pname_bool > pname ).
tff(func_def_189,type,
sK12: fun_fu1430349052l_bool > fun_pname_bool ).
tff(func_def_190,type,
sK13: fun_fu1783763359l_bool > fun_Ho734851753e_bool ).
tff(func_def_191,type,
sK14: fun_Ho734851753e_bool > hoare_1848483303_state ).
tff(func_def_192,type,
sK15: fun_pname_bool > pname ).
tff(func_def_193,type,
sK16: fun_fu1430349052l_bool > fun_pname_bool ).
tff(func_def_194,type,
sK17: fun_fu1783763359l_bool > fun_Ho734851753e_bool ).
tff(func_def_195,type,
sK18: fun_Ho734851753e_bool > hoare_1848483303_state ).
tff(func_def_196,type,
sK19: fun_pname_bool > pname ).
tff(func_def_197,type,
sK20: ( hoare_1848483303_state * fun_pn447269700_state * fun_pname_bool ) > pname ).
tff(func_def_198,type,
sK21: ( fun_Ho734851753e_bool * fun_pn447269700_state * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_199,type,
sK22: fun_Ho734851753e_bool > pname ).
tff(func_def_200,type,
sK23: ( hoare_1848483303_state * fun_pn447269700_state * fun_pname_bool ) > pname ).
tff(func_def_201,type,
sK24: ( fun_fu1430349052l_bool * fun_pname_bool ) > pname ).
tff(func_def_202,type,
sK25: ( fun_fu1430349052l_bool * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_203,type,
sK26: ( fun_fu1783763359l_bool * fun_Ho734851753e_bool ) > hoare_1848483303_state ).
tff(func_def_204,type,
sK27: ( fun_fu1783763359l_bool * fun_Ho734851753e_bool ) > fun_Ho734851753e_bool ).
tff(func_def_205,type,
sK28: ( fun_fu399576434l_bool * fun_fu1430349052l_bool ) > fun_pname_bool ).
tff(func_def_206,type,
sK29: ( fun_fu399576434l_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_207,type,
sK30: ( fun_fu64031073l_bool * fun_fu1783763359l_bool ) > fun_Ho734851753e_bool ).
tff(func_def_208,type,
sK31: ( fun_fu64031073l_bool * fun_fu1783763359l_bool ) > fun_fu1783763359l_bool ).
tff(func_def_209,type,
sK32: pname > com ).
tff(func_def_210,type,
sK33: ( fun_pname_bool * fun_pname_bool ) > pname ).
tff(func_def_211,type,
sK34: ( fun_Ho734851753e_bool * fun_Ho734851753e_bool ) > hoare_1848483303_state ).
tff(func_def_212,type,
sK35: ( fun_pn447269700_state * fun_pname_bool * fun_Ho734851753e_bool ) > fun_pname_bool ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',fact_4_cut) ).
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/sandbox/benchmark/theBenchmark.p',fact_103_MGF) ).
tff(f188,axiom,
! [X0: hoare_1848483303_state,X1: fun_Ho734851753e_bool] : ( insert668001005_state(X0,X1) = collec1708318610_state(cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),X0)),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_187_insert__compr) ).
tff(f256,axiom,
! [X0: fun_Ho734851753e_bool] : ( collec1708318610_state(X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_255_Collect__def) ).
tff(f289,axiom,
! [X0: pname,X1: com] :
( hBOOL(wT_bodies)
=> ( ( hAPP_p799580910on_com(body,X0) = some_com(X1) )
=> hBOOL(wt(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_288_WT__bodiesD) ).
tff(f368,axiom,
hBOOL(hoare_1310879719gleton),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f369,axiom,
hBOOL(wT_bodies),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
tff(f373,axiom,
hAPP_p799580910on_com(body,pn) = some_com(y),
file('/export/starexec/sandbox/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/sandbox/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(f383,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(f384,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,[],[f383]) ).
tff(f497,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(f498,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,[],[f497]) ).
tff(f625,plain,
! [X0: pname,X1: com] :
( hBOOL(wt(X1))
| ( hAPP_p799580910on_com(body,X0) != some_com(X1) )
| ~ hBOOL(wT_bodies) ),
inference(ennf_transformation,[],[f289]) ).
tff(f626,plain,
! [X0: pname,X1: com] :
( hBOOL(wt(X1))
| ( hAPP_p799580910on_com(body,X0) != some_com(X1) )
| ~ hBOOL(wT_bodies) ),
inference(flattening,[],[f625]) ).
tff(f641,plain,
! [X0: fun_Ho734851753e_bool] : hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),bot_bo454148287e_bool)),
inference(cnf_transformation,[],[f1]) ).
tff(f645,plain,
! [X2: fun_Ho734851753e_bool,X0: fun_Ho734851753e_bool,X1: 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)) ),
inference(cnf_transformation,[],[f384]) ).
tff(f762,plain,
! [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))) ),
inference(cnf_transformation,[],[f498]) ).
tff(f880,plain,
! [X0: hoare_1848483303_state,X1: fun_Ho734851753e_bool] : ( insert668001005_state(X0,X1) = collec1708318610_state(cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),X0)),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),X1))) ),
inference(cnf_transformation,[],[f188]) ).
tff(f986,plain,
! [X0: fun_Ho734851753e_bool] : ( collec1708318610_state(X0) = X0 ),
inference(cnf_transformation,[],[f256]) ).
tff(f1036,plain,
! [X0: pname,X1: com] :
( ~ hBOOL(wT_bodies)
| ( hAPP_p799580910on_com(body,X0) != some_com(X1) )
| hBOOL(wt(X1)) ),
inference(cnf_transformation,[],[f626]) ).
tff(f1137,plain,
hBOOL(hoare_1310879719gleton),
inference(cnf_transformation,[],[f368]) ).
tff(f1138,plain,
hBOOL(wT_bodies),
inference(cnf_transformation,[],[f369]) ).
tff(f1142,plain,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(cnf_transformation,[],[f373]) ).
tff(f1144,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(f1182,plain,
! [X0: com] :
( ~ hBOOL(hoare_1310879719gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(wt(X0))
| hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),collec1708318610_state(cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),hAPP_c379084956_state(hoare_Mirabelle_MGT,X0))),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),bot_bo454148287e_bool))))) ),
inference(definition_unfolding,[],[f762,f880]) ).
tff(f1301,plain,
~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),collec1708318610_state(cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),hAPP_c379084956_state(hoare_Mirabelle_MGT,y))),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),bot_bo454148287e_bool))))),
inference(definition_unfolding,[],[f1144,f880]) ).
tff(f1380,plain,
! [X0: fun_Ho734851753e_bool] : ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),bot_bo454148287e_bool)),
inference(consistent_polarity_flipping,[],[f641]) ).
tff(f1384,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(consistent_polarity_flipping,[],[f645]) ).
tff(f1476,plain,
! [X0: com] :
( hBOOL(hoare_1310879719gleton)
| hBOOL(wT_bodies)
| hBOOL(wt(X0))
| ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),collec1708318610_state(cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),hAPP_c379084956_state(hoare_Mirabelle_MGT,X0))),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),bot_bo454148287e_bool))))) ),
inference(consistent_polarity_flipping,[],[f1182]) ).
tff(f1693,plain,
! [X0: pname,X1: com] :
( hBOOL(wT_bodies)
| ( hAPP_p799580910on_com(body,X0) != some_com(X1) )
| ~ hBOOL(wt(X1)) ),
inference(consistent_polarity_flipping,[],[f1036]) ).
tff(f1745,plain,
~ hBOOL(hoare_1310879719gleton),
inference(consistent_polarity_flipping,[],[f1137]) ).
tff(f1746,plain,
~ hBOOL(wT_bodies),
inference(consistent_polarity_flipping,[],[f1138]) ).
tff(f1751,plain,
hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),collec1708318610_state(cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),hAPP_c379084956_state(hoare_Mirabelle_MGT,y))),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),bot_bo454148287e_bool))))),
inference(consistent_polarity_flipping,[],[f1301]) ).
tff(f1755,definition,
( spl36_1
<=> ! [X0: pname,X1: com] :
( ( hAPP_p799580910on_com(body,X0) != some_com(X1) )
| ~ hBOOL(wt(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl36_1])],[avatar_definition]) ).
tff(f1756,plain,
( ! [X0: pname,X1: com] :
( ( hAPP_p799580910on_com(body,X0) != some_com(X1) )
| ~ hBOOL(wt(X1)) )
| ~ spl36_1 ),
inference(avatar_component_clause,[],[f1755]) ).
tff(f1758,definition,
( spl36_2
<=> hBOOL(wT_bodies) ),
introduced(definition,[new_symbols(definition,[spl36_2])],[avatar_definition]) ).
tff(f1761,plain,
( spl36_1
| spl36_2 ),
inference(avatar_split_clause,[],[f1693,f1758,f1755]) ).
tff(f1766,definition,
( spl36_4
<=> hBOOL(hoare_1310879719gleton) ),
introduced(definition,[new_symbols(definition,[spl36_4])],[avatar_definition]) ).
tff(f1775,definition,
( spl36_6
<=> ! [X0: com] :
( hBOOL(wt(X0))
| ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),collec1708318610_state(cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),hAPP_c379084956_state(hoare_Mirabelle_MGT,X0))),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),bot_bo454148287e_bool))))) ) ),
introduced(definition,[new_symbols(definition,[spl36_6])],[avatar_definition]) ).
tff(f1776,plain,
( ! [X0: com] :
( hBOOL(wt(X0))
| ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),collec1708318610_state(cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),hAPP_c379084956_state(hoare_Mirabelle_MGT,X0))),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),bot_bo454148287e_bool))))) )
| ~ spl36_6 ),
inference(avatar_component_clause,[],[f1775]) ).
tff(f1777,plain,
( spl36_6
| spl36_2
| spl36_4 ),
inference(avatar_split_clause,[],[f1476,f1766,f1758,f1775]) ).
tff(f1778,plain,
~ spl36_4,
inference(avatar_split_clause,[],[f1745,f1766]) ).
tff(f1779,plain,
~ spl36_2,
inference(avatar_split_clause,[],[f1746,f1758]) ).
tff(f2289,plain,
( ! [X0: com] :
( ( some_com(y) != some_com(X0) )
| ~ hBOOL(wt(X0)) )
| ~ spl36_1 ),
inference(superposition,[],[f1756,f1142]) ).
tff(f2301,plain,
( ~ hBOOL(wt(y))
| ~ spl36_1 ),
inference(equality_resolution,[],[f2289]) ).
tff(f6964,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),collec1708318610_state(cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),hAPP_c379084956_state(hoare_Mirabelle_MGT,y))),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),bot_bo454148287e_bool))))) ),
inference(resolution,[],[f1384,f1751]) ).
tff(f6991,plain,
! [X0: fun_Ho734851753e_bool] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),hAPP_c379084956_state(hoare_Mirabelle_MGT,y))),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),bot_bo454148287e_bool))))
| hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),X0)) ),
inference(forward_demodulation,[],[f6964,f986]) ).
tff(f12640,plain,
( ! [X0: com] :
( ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),hAPP_c379084956_state(hoare_Mirabelle_MGT,X0))),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),bot_bo454148287e_bool))))
| hBOOL(wt(X0)) )
| ~ spl36_6 ),
inference(forward_demodulation,[],[f1776,f986]) ).
tff(f22927,plain,
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),bot_bo454148287e_bool))
| hBOOL(wt(y))
| ~ spl36_6 ),
inference(resolution,[],[f6991,f12640]) ).
tff(f22985,plain,
( hBOOL(wt(y))
| ~ spl36_6 ),
inference(forward_subsumption_resolution,[],[f22927,f1380]) ).
tff(f23001,plain,
( $false
| ~ spl36_1
| ~ spl36_6 ),
inference(forward_subsumption_resolution,[],[f22985,f2301]) ).
tff(f23002,plain,
( ~ spl36_1
| ~ spl36_6 ),
inference(avatar_contradiction_clause,[],[f23001]) ).
cnf(s1,plain,
( spl36_1
| spl36_2 ),
inference(sat_conversion,[],[f1761]) ).
cnf(s4,plain,
( spl36_2
| spl36_4
| spl36_6 ),
inference(sat_conversion,[],[f1777]) ).
cnf(s5,plain,
~ spl36_4,
inference(sat_conversion,[],[f1778]) ).
cnf(s6,plain,
~ spl36_2,
inference(sat_conversion,[],[f1779]) ).
cnf(s3179,plain,
( ~ spl36_1
| ~ spl36_6 ),
inference(sat_conversion,[],[f23002]) ).
cnf(s3544,plain,
spl36_6,
inference(rat,[],[s4,s5,s6]) ).
cnf(s3545,plain,
~ spl36_1,
inference(rat,[],[s3179,s3544]) ).
cnf(s3548,plain,
$false,
inference(rat,[],[s1,s6,s3545]) ).
tff(f23004,plain,
$false,
inference(avatar_sat_refutation,[],[s3548]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWW474_1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 14:06:19 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.12 Running first-order model finding
% 0.08/0.12 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.05/0.49 % (3395051)Will run a generic schedule for satisfiability detection.
% 2.05/0.49 % (3395057)% WARNING: option uhcvi not known.
% 2.05/0.49 % (3395058)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1052920758:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.05/0.49 % (3395056)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3650583848_2999 on theBenchmark for (2999ds/0Mi)
% 2.05/0.49 % (3395059)dis+10_1_sil=32000:sp=arity:random_seed=3434585972:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.05/0.49 % (3395057)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1555522443:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.05/0.49 % (3395062)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3988822083:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.05/0.49 % (3395060)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3349855841:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.05/0.49 % (3395061)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2321391705:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.05/0.49 % (3395059)Instruction limit reached!
% 2.05/0.49 % (3395059)------------------------------
% 2.05/0.49 % (3395059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.49 % (3395059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.49 % (3395059)CaDiCaL version: 2.1.3
% 2.05/0.49 % (3395059)Termination reason: Instruction limit
% 2.05/0.49 % (3395059)Termination phase: Saturation
% 2.05/0.49 % (3395059)Time elapsed: 0.028 s
% 2.05/0.49 % (3395059)Peak memory usage: 13 MB
% 2.05/0.49 % (3395059)Instructions burned: 103 (million)
% 2.05/0.49 % (3395060)Instruction limit reached!
% 2.05/0.49 % (3395060)------------------------------
% 2.05/0.49 % (3395060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.49 % (3395060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.49 % (3395060)CaDiCaL version: 2.1.3
% 2.05/0.49 % (3395060)Termination reason: Instruction limit
% 2.05/0.49 % (3395060)Termination phase: Saturation
% 2.05/0.49 % (3395060)Time elapsed: 0.034 s
% 2.05/0.49 % (3395060)Peak memory usage: 13 MB
% 2.05/0.49 % (3395060)Instructions burned: 117 (million)
% 2.05/0.49 % (3395070)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2281614681:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.05/0.49 % (3395061)Instruction limit reached!
% 2.05/0.49 % (3395061)------------------------------
% 2.05/0.49 % (3395061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.49 % (3395061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.49 % (3395061)CaDiCaL version: 2.1.3
% 2.05/0.49 % (3395061)Termination reason: Instruction limit
% 2.05/0.49 % (3395061)Termination phase: Saturation
% 2.05/0.49 % (3395061)Time elapsed: 0.041 s
% 2.05/0.49 % (3395061)Peak memory usage: 14 MB
% 2.05/0.49 % (3395061)Instructions burned: 134 (million)
% 2.05/0.49 % (3395071)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3885337210:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.05/0.49 % (3395062)Instruction limit reached!
% 2.05/0.49 % (3395062)------------------------------
% 2.05/0.49 % (3395062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.49 % (3395062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.49 % (3395062)CaDiCaL version: 2.1.3
% 2.05/0.49 % (3395062)Termination reason: Instruction limit
% 2.05/0.49 % (3395062)Termination phase: Saturation
% 2.05/0.49 % (3395062)Time elapsed: 0.049 s
% 2.05/0.49 % (3395062)Peak memory usage: 13 MB
% 2.05/0.49 % (3395062)Instructions burned: 160 (million)
% 2.05/0.49 % (3395073)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1990858903:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.05/0.49 % (3395075)ott-21_1_sil=16000:fs=off:random_seed=1714016728:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 2.05/0.49 % (3395071)Instruction limit reached!
% 2.05/0.49 % (3395071)------------------------------
% 2.05/0.49 % (3395071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.49 % (3395071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.49 % (3395071)CaDiCaL version: 2.1.3
% 2.05/0.49 % (3395071)Termination reason: Instruction limit
% 2.05/0.49 % (3395071)Termination phase: Saturation
% 2.05/0.49 % (3395071)Time elapsed: 0.038 s
% 2.05/0.49 % (3395071)Peak memory usage: 13 MB
% 2.05/0.49 % (3395071)Instructions burned: 132 (million)
% 2.05/0.49 % (3395078)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=116296803:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.05/0.49 % (3395075)Instruction limit reached!
% 2.05/0.49 % (3395075)------------------------------
% 2.05/0.49 % (3395075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.49 % (3395075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.49 % (3395075)CaDiCaL version: 2.1.3
% 2.05/0.49 % (3395075)Termination reason: Instruction limit
% 2.05/0.49 % (3395075)Termination phase: Saturation
% 2.05/0.49 % (3395075)Time elapsed: 0.048 s
% 2.05/0.49 % (3395075)Peak memory usage: 13 MB
% 2.05/0.49 % (3395075)Instructions burned: 184 (million)
% 2.05/0.49 % (3395080)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3258414497:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 2.05/0.49 % TRYING [1]
% 2.05/0.49 % TRYING [2]
% 2.05/0.49 % TRYING [3]
% 2.05/0.49 % (3395070)Instruction limit reached!
% 2.05/0.49 % (3395070)------------------------------
% 2.05/0.49 % (3395070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.49 % (3395070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.49 % (3395070)CaDiCaL version: 2.1.3
% 2.05/0.49 % (3395070)Termination reason: Instruction limit
% 2.05/0.49 % (3395070)Termination phase: Finite model building constraint generation
% 2.05/0.49 % (3395070)Time elapsed: 0.172 s
% 2.05/0.49 % (3395070)Peak memory usage: 38 MB
% 2.05/0.49 % (3395070)Instructions burned: 714 (million)
% 2.05/0.49 % (3395078)Instruction limit reached!
% 2.05/0.49 % (3395078)------------------------------
% 2.05/0.49 % (3395078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.49 % (3395078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.49 % (3395078)CaDiCaL version: 2.1.3
% 2.05/0.49 % (3395078)Termination reason: Instruction limit
% 2.05/0.49 % (3395078)Termination phase: Saturation
% 2.05/0.49 % (3395078)Time elapsed: 0.118 s
% 2.05/0.49 % (3395078)Peak memory usage: 14 MB
% 2.05/0.49 % (3395078)Instructions burned: 479 (million)
% 2.05/0.49 % (3395082)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=607980590:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.05/0.49 % (3395083)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3955581430:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 2.05/0.49 % (3395073)Instruction limit reached!
% 2.05/0.49 % (3395073)------------------------------
% 2.05/0.49 % (3395073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.49 % (3395073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.49 % (3395073)CaDiCaL version: 2.1.3
% 2.05/0.49 % (3395073)Termination reason: Instruction limit
% 2.05/0.49 % (3395073)Termination phase: Saturation
% 2.05/0.49 % (3395073)Time elapsed: 0.196 s
% 2.05/0.49 % (3395073)Peak memory usage: 17 MB
% 2.05/0.49 % (3395073)Instructions burned: 686 (million)
% 2.05/0.49 % (3395086)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=269799766:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 2.05/0.49 % (3395080)Instruction limit reached!
% 2.05/0.49 % (3395080)------------------------------
% 2.05/0.49 % (3395080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.49 % (3395080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.49 % (3395080)CaDiCaL version: 2.1.3
% 2.05/0.49 % (3395080)Termination reason: Instruction limit
% 2.05/0.49 % (3395080)Termination phase: Finite model building preprocessing
% 2.05/0.49 % (3395080)Time elapsed: 0.202 s
% 2.05/0.49 % (3395080)Peak memory usage: 21 MB
% 2.05/0.49 % (3395080)Instructions burned: 868 (million)
% 2.05/0.49 % (3395057) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3395051-3395057"...
% 2.05/0.49 % (3395057)...printing done.
% 2.05/0.49 % (3395088)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4075660158:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 2.05/0.49 % (3395057)Refutation found. Thanks to Tanya!
% 2.05/0.49 % SZS status Theorem for theBenchmark
% 2.05/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 2.05/0.50 % (3395057)------------------------------
% 2.05/0.50 % (3395057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.50 % (3395057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.50 % (3395057)CaDiCaL version: 2.1.3
% 2.05/0.50 % (3395057)Termination reason: Refutation
% 2.05/0.50 % (3395057)Time elapsed: 0.333 s
% 2.05/0.50 % (3395057)Peak memory usage: 22 MB
% 2.05/0.50 % (3395057)Instructions burned: 1137 (million)
% 2.05/0.50 % (3395051)Success in time 0.368 s
% 2.05/0.50 % Vampire exiting
%------------------------------------------------------------------------------