TSTP Solution File: SWW474_1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWW474_1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 11:07:26 EDT 2023
% Result : Theorem 40.37s 23.89s
% Output : CNFRefutation 40.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 287
% Syntax : Number of formulae : 322 ( 29 unt; 274 typ; 0 def)
% Number of atoms : 76 ( 25 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 21 ~; 21 |; 0 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 61 ( 60 usr)
% Number of type conns : 290 ( 171 >; 119 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 213 ( 213 usr; 43 con; 0-3 aty)
% Number of variables : 32 (; 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
%$ hBOOL > insert_pname > insert668001005_state > insert1735796133l_bool > insert1390540323e_bool > insert1325755072e_bool > insert1117693814l_bool > image_pname_pname > image_983321428e_bool > image_783059513l_bool > image_7400930l_bool > image_730818763_state > image_71018297_state > image_47868345e_bool > image_249571983e_bool > image_2078273054_state > image_2075962154_pname > image_2051793258e_bool > image_2036190066_pname > image_1916896084_state > image_1825746272_pname > image_1820576158l_bool > image_1705983821_pname > image_1642285373l_bool > image_1283814551_pname > image_1256224870_state > hAPP_pname_pname > hAPP_pname_com > hAPP_pname_bool > hAPP_p799580910on_com > hAPP_p675228438_state > hAPP_p61793385e_bool > hAPP_p393069232l_bool > hAPP_p338031245l_bool > hAPP_p276714170e_bool > hAPP_option_com_com > hAPP_f844837559l_bool > hAPP_f759274231e_bool > hAPP_f636233299on_com > hAPP_f617245717e_bool > hAPP_f595608956l_bool > hAPP_f559147733l_bool > hAPP_f556039215l_bool > hAPP_f511954751l_bool > hAPP_f510955609l_bool > hAPP_f50667184_pname > hAPP_f434788991l_bool > hAPP_f389811538l_bool > hAPP_f355887345l_bool > hAPP_f32027384l_bool > hAPP_f2138803836on_com > hAPP_f2099317627_state > hAPP_f2022158333l_bool > hAPP_f1935102916l_bool > hAPP_f1759205631l_bool > hAPP_f170941835l_bool > hAPP_f1664156314l_bool > hAPP_f1607907235l_bool > hAPP_f15397171l_bool > hAPP_f1526158591l_bool > hAPP_f1476298914l_bool > hAPP_f141816996_state > hAPP_f1360064833l_bool > hAPP_f1359865257l_bool > hAPP_f1297739591_pname > hAPP_f1258983629l_bool > hAPP_c379084956_state > hAPP_bool_bool > hAPP_b589554111l_bool > hAPP_H590162869l_bool > hAPP_H2060173127e_bool > hAPP_H1618070847e_bool > hAPP_H1494965722_pname > hAPP_H1355725988e_bool > hAPP_H1199573897l_bool > cOMBS_811933079l_bool > cOMBS_568398431l_bool > cOMBS_350070575l_bool > cOMBS_1990964188l_bool > cOMBS_1278217668l_bool > cOMBS_101732372l_bool > cOMBB_923936821_pname > cOMBB_689948150l_bool > cOMBB_675860798_pname > cOMBB_647938656_pname > cOMBB_573322273_pname > cOMBB_307249310e_bool > cOMBB_215065709_state > cOMBB_2095475776e_bool > cOMBB_1936369445l_bool > cOMBB_1418941603e_bool > cOMBB_1397003211_state > cOMBB_1356070853e_bool > #nlpp > wt > some_com > hoare_1193527299_state > dom_pname_com > dom_fu475558963ol_com > dom_fu2081503504ol_com > collect_pname > collec792590109l_bool > collec2020384458l_bool > collec1974731493e_bool > collec1708318610_state > collec1657840446e_bool > collec1616186998l_bool > collec1613912337l_bool > cOMBK_pname_pname > cOMBK_bool_pname > cOMBK_948730864e_bool > cOMBK_37193422_pname > cOMBK_354802397e_bool > cOMBK_240819937_pname > cOMBK_2110745040e_bool > cOMBK_2059960192_state > cOMBK_2014663096l_bool > cOMBK_1857069011e_bool > cOMBK_1751623554_state > cOMBK_1568566301_state > cOMBK_1423274227e_bool > cOMBK_1288377053_state > cOMBK_1270376774e_bool > cOMBK_1197227241_pname > cOMBC_80545690l_bool > cOMBC_7971162l_bool > cOMBC_336095980l_bool > cOMBC_1988546018l_bool > cOMBC_1947058646e_bool > cOMBC_1803918242l_bool > cOMBC_1690116422l_bool > cOMBC_1420373658l_bool > cOMBC_1284144636l_bool > cOMBC_1149511130e_bool > cOMBC_1100692246l_bool > cOMBC_1058051404l_bool > y > wT_bodies > the_com > pn > ord_le675606854l_bool > ord_le313189616e_bool > ord_le1819283413l_bool > ord_le1375671464l_bool > ord_le1119700979e_bool > ord_le101734315l_bool > member_pname > member799430823e_bool > member591555156_state > member1948767740e_bool > hoare_Mirabelle_MGT > hoare_1310879719gleton > finite_finite_pname > finite786885583l_bool > finite595471783e_bool > finite297877756e_bool > finite181314444l_bool > finite1765195604_state > finite1491191519l_bool > finite1393641268l_bool > fimplies > fequal_pname > fequal533582459e_bool > fequal364418600_state > fequal1145749800e_bool > fdisj > fconj > fa > fTrue > fNot > fFalse > bot_bo973295223l_bool > bot_bo844097828e_bool > bot_bo454148287e_bool > bot_bo2068035593l_bool > bot_bo1649642514l_bool > bot_bo1537088220l_bool > body_1 > body > #skF_9 > #skF_16 > #skF_6 > #skF_36 > #skF_3 > #skF_14 > #skF_19 > #skF_26 > #skF_33 > #skF_28 > #skF_5 > #skF_35 > #skF_32 > #skF_4 > #skF_17 > #skF_25 > #skF_7 > #skF_22 > #skF_30 > #skF_23 > #skF_27 > #skF_20 > #skF_13 > #skF_8 > #skF_34 > #skF_12 > #skF_31 > #skF_2 > #skF_21 > #skF_15 > #skF_29 > #skF_10 > #skF_11 > #skF_1 > #skF_18 > #skF_24
%Foreground sorts:
tff(fun_fu1690815831l_bool,type,
fun_fu1690815831l_bool: $tType ).
tff(fun_pn2079317538e_bool,type,
fun_pn2079317538e_bool: $tType ).
tff(fun_fu410713561e_bool,type,
fun_fu410713561e_bool: $tType ).
tff(fun_Ho1480763635e_bool,type,
fun_Ho1480763635e_bool: $tType ).
tff(fun_fu1483785331l_bool,type,
fun_fu1483785331l_bool: $tType ).
tff(fun_Ho2109050089l_bool,type,
fun_Ho2109050089l_bool: $tType ).
tff(fun_fu1931361878_pname,type,
fun_fu1931361878_pname: $tType ).
tff(fun_Ho872578118l_bool,type,
fun_Ho872578118l_bool: $tType ).
tff(fun_bool_bool,type,
fun_bool_bool: $tType ).
tff(fun_fu1499449723_pname,type,
fun_fu1499449723_pname: $tType ).
tff(fun_co1814942666_state,type,
fun_co1814942666_state: $tType ).
tff(fun_Ho585232518e_bool,type,
fun_Ho585232518e_bool: $tType ).
tff(fun_pname_option_com,type,
fun_pname_option_com: $tType ).
tff(fun_fu399576434l_bool,type,
fun_fu399576434l_bool: $tType ).
tff(fun_Ho1489168363l_bool,type,
fun_Ho1489168363l_bool: $tType ).
tff(fun_fu802393907l_bool,type,
fun_fu802393907l_bool: $tType ).
tff(fun_fu1171508960l_bool,type,
fun_fu1171508960l_bool: $tType ).
tff(fun_fu867166233l_bool,type,
fun_fu867166233l_bool: $tType ).
tff(fun_pn250273176l_bool,type,
fun_pn250273176l_bool: $tType ).
tff(pname,type,
pname: $tType ).
tff(fun_fu1430349052l_bool,type,
fun_fu1430349052l_bool: $tType ).
tff(fun_pn447269700_state,type,
fun_pn447269700_state: $tType ).
tff(fun_bo1549164019l_bool,type,
fun_bo1549164019l_bool: $tType ).
tff(fun_fu31783638l_bool,type,
fun_fu31783638l_bool: $tType ).
tff(fun_fu1387033222_state,type,
fun_fu1387033222_state: $tType ).
tff(com,type,
com: $tType ).
tff(fun_fu1478462177l_bool,type,
fun_fu1478462177l_bool: $tType ).
tff(fun_fu1664106117_pname,type,
fun_fu1664106117_pname: $tType ).
tff(fun_fu947309171l_bool,type,
fun_fu947309171l_bool: $tType ).
tff(fun_fu325884881l_bool,type,
fun_fu325884881l_bool: $tType ).
tff(fun_fu1538259051_state,type,
fun_fu1538259051_state: $tType ).
tff(fun_fu549469569on_com,type,
fun_fu549469569on_com: $tType ).
tff(hoare_1848483303_state,type,
hoare_1848483303_state: $tType ).
tff(fun_fu1137856163l_bool,type,
fun_fu1137856163l_bool: $tType ).
tff(bool,type,
bool: $tType ).
tff(fun_Ho862234382_pname,type,
fun_Ho862234382_pname: $tType ).
tff(fun_fu2087345469l_bool,type,
fun_fu2087345469l_bool: $tType ).
tff(fun_fu1259080373l_bool,type,
fun_fu1259080373l_bool: $tType ).
tff(fun_fu1783763359l_bool,type,
fun_fu1783763359l_bool: $tType ).
tff(fun_pname_pname,type,
fun_pname_pname: $tType ).
tff(fun_fu1086940979l_bool,type,
fun_fu1086940979l_bool: $tType ).
tff(fun_Ho734851753e_bool,type,
fun_Ho734851753e_bool: $tType ).
tff(fun_pname_bool,type,
fun_pname_bool: $tType ).
tff(fun_fu77875581e_bool,type,
fun_fu77875581e_bool: $tType ).
tff(fun_fu2065874474l_bool,type,
fun_fu2065874474l_bool: $tType ).
tff(fun_fu1438281908l_bool,type,
fun_fu1438281908l_bool: $tType ).
tff(fun_fu931343505l_bool,type,
fun_fu931343505l_bool: $tType ).
tff(fun_fu891110808_pname,type,
fun_fu891110808_pname: $tType ).
tff(fun_fu1404623273_state,type,
fun_fu1404623273_state: $tType ).
tff(fun_pname_com,type,
fun_pname_com: $tType ).
tff(fun_pn800050071e_bool,type,
fun_pn800050071e_bool: $tType ).
tff(fun_pn1359388668l_bool,type,
fun_pn1359388668l_bool: $tType ).
tff(fun_pn422929397l_bool,type,
fun_pn422929397l_bool: $tType ).
tff(fun_fu799392094on_com,type,
fun_fu799392094on_com: $tType ).
tff(fun_fu296636465l_bool,type,
fun_fu296636465l_bool: $tType ).
tff(option_com,type,
option_com: $tType ).
tff(fun_fu1911931399l_bool,type,
fun_fu1911931399l_bool: $tType ).
tff(fun_fu64031073l_bool,type,
fun_fu64031073l_bool: $tType ).
tff(fun_option_com_com,type,
fun_option_com_com: $tType ).
tff(fun_fu230733820_state,type,
fun_fu230733820_state: $tType ).
%Background operators:
%Foreground operators:
tff(hAPP_p276714170e_bool,type,
hAPP_p276714170e_bool: ( fun_pn2079317538e_bool * pname ) > fun_Ho734851753e_bool ).
tff(ord_le101734315l_bool,type,
ord_le101734315l_bool: fun_fu325884881l_bool ).
tff(hAPP_f1526158591l_bool,type,
hAPP_f1526158591l_bool: ( fun_fu64031073l_bool * fun_fu1783763359l_bool ) > bool ).
tff('#skF_9',type,
'#skF_9': fun_fu1783763359l_bool > fun_Ho734851753e_bool ).
tff(hAPP_f1759205631l_bool,type,
hAPP_f1759205631l_bool: ( fun_fu1086940979l_bool * fun_fu399576434l_bool ) > fun_fu1438281908l_bool ).
tff(image_1256224870_state,type,
image_1256224870_state: ( fun_pn447269700_state * fun_pname_bool ) > fun_Ho734851753e_bool ).
tff(hoare_1310879719gleton,type,
hoare_1310879719gleton: bool ).
tff(hAPP_pname_com,type,
hAPP_pname_com: ( fun_pname_com * pname ) > com ).
tff(finite_finite_pname,type,
finite_finite_pname: fun_fu1430349052l_bool ).
tff(fequal533582459e_bool,type,
fequal533582459e_bool: fun_fu802393907l_bool ).
tff(cOMBB_1936369445l_bool,type,
cOMBB_1936369445l_bool: ( fun_bo1549164019l_bool * fun_fu64031073l_bool ) > fun_fu296636465l_bool ).
tff(cOMBB_215065709_state,type,
cOMBB_215065709_state: ( fun_bo1549164019l_bool * fun_Ho734851753e_bool ) > fun_Ho2109050089l_bool ).
tff(cOMBB_573322273_pname,type,
cOMBB_573322273_pname: ( fun_co1814942666_state * fun_pname_com ) > fun_pn447269700_state ).
tff(hAPP_f1607907235l_bool,type,
hAPP_f1607907235l_bool: ( fun_fu325884881l_bool * fun_fu64031073l_bool ) > fun_fu1690815831l_bool ).
tff(hAPP_f511954751l_bool,type,
hAPP_f511954751l_bool: ( fun_fu1483785331l_bool * fun_fu1783763359l_bool ) > fun_fu64031073l_bool ).
tff(cOMBK_bool_pname,type,
cOMBK_bool_pname: bool > fun_pname_bool ).
tff(cOMBB_1418941603e_bool,type,
cOMBB_1418941603e_bool: ( fun_bo1549164019l_bool * fun_fu1783763359l_bool ) > fun_fu947309171l_bool ).
tff(hAPP_f1935102916l_bool,type,
hAPP_f1935102916l_bool: ( fun_fu399576434l_bool * fun_fu1430349052l_bool ) > bool ).
tff(cOMBB_2095475776e_bool,type,
cOMBB_2095475776e_bool: ( fun_bo1549164019l_bool * fun_fu1430349052l_bool ) > fun_fu31783638l_bool ).
tff('#skF_16',type,
'#skF_16': fun_pname_bool > pname ).
tff(dom_fu475558963ol_com,type,
dom_fu475558963ol_com: fun_fu549469569on_com > fun_fu1783763359l_bool ).
tff(body,type,
body: fun_pname_option_com ).
tff(hAPP_H590162869l_bool,type,
hAPP_H590162869l_bool: ( fun_Ho2109050089l_bool * hoare_1848483303_state ) > fun_bool_bool ).
tff(cOMBS_101732372l_bool,type,
cOMBS_101732372l_bool: ( fun_fu296636465l_bool * fun_fu64031073l_bool ) > fun_fu64031073l_bool ).
tff(the_com,type,
the_com: fun_option_com_com ).
tff(hAPP_f556039215l_bool,type,
hAPP_f556039215l_bool: ( fun_fu931343505l_bool * fun_pname_bool ) > fun_fu399576434l_bool ).
tff(fTrue,type,
fTrue: bool ).
tff(ord_le1819283413l_bool,type,
ord_le1819283413l_bool: fun_fu1483785331l_bool ).
tff('#skF_6',type,
'#skF_6': fun_pname_bool > pname ).
tff(ord_le1375671464l_bool,type,
ord_le1375671464l_bool: fun_fu1086940979l_bool ).
tff(insert1117693814l_bool,type,
insert1117693814l_bool: ( fun_fu1430349052l_bool * fun_fu399576434l_bool ) > fun_fu399576434l_bool ).
tff(cOMBB_307249310e_bool,type,
cOMBB_307249310e_bool: ( fun_bool_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(image_983321428e_bool,type,
image_983321428e_bool: ( fun_Ho585232518e_bool * fun_Ho734851753e_bool ) > fun_fu1430349052l_bool ).
tff(cOMBC_1284144636l_bool,type,
cOMBC_1284144636l_bool: fun_fu802393907l_bool > fun_fu802393907l_bool ).
tff(hoare_1193527299_state,type,
hoare_1193527299_state: fun_Ho734851753e_bool > fun_fu1783763359l_bool ).
tff(finite1765195604_state,type,
finite1765195604_state: fun_fu1783763359l_bool ).
tff(cOMBC_1988546018l_bool,type,
cOMBC_1988546018l_bool: fun_fu931343505l_bool > fun_fu2087345469l_bool ).
tff(cOMBK_pname_pname,type,
cOMBK_pname_pname: pname > fun_pname_pname ).
tff('#skF_36',type,
'#skF_36': ( fun_pn447269700_state * fun_pname_bool * fun_Ho734851753e_bool ) > fun_pname_bool ).
tff(hAPP_f2099317627_state,type,
hAPP_f2099317627_state: ( fun_fu1404623273_state * fun_Ho734851753e_bool ) > hoare_1848483303_state ).
tff(fequal364418600_state,type,
fequal364418600_state: fun_Ho1480763635e_bool ).
tff(image_7400930l_bool,type,
image_7400930l_bool: ( fun_Ho872578118l_bool * fun_Ho734851753e_bool ) > fun_fu399576434l_bool ).
tff(fNot,type,
fNot: fun_bool_bool ).
tff('#skF_3',type,
'#skF_3': fun_fu1783763359l_bool > fun_Ho734851753e_bool ).
tff(image_1642285373l_bool,type,
image_1642285373l_bool: ( fun_pn422929397l_bool * fun_pname_bool ) > fun_fu399576434l_bool ).
tff('#skF_14',type,
'#skF_14': fun_fu1783763359l_bool > fun_Ho734851753e_bool ).
tff(hAPP_bool_bool,type,
hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).
tff(insert668001005_state,type,
insert668001005_state: ( hoare_1848483303_state * fun_Ho734851753e_bool ) > fun_Ho734851753e_bool ).
tff(image_pname_pname,type,
image_pname_pname: ( fun_pname_pname * fun_pname_bool ) > fun_pname_bool ).
tff('#skF_19',type,
'#skF_19': fun_Ho734851753e_bool > hoare_1848483303_state ).
tff(fequal_pname,type,
fequal_pname: fun_pn800050071e_bool ).
tff(cOMBB_689948150l_bool,type,
cOMBB_689948150l_bool: ( fun_bo1549164019l_bool * fun_fu399576434l_bool ) > fun_fu1171508960l_bool ).
tff(cOMBS_811933079l_bool,type,
cOMBS_811933079l_bool: ( fun_fu1171508960l_bool * fun_fu399576434l_bool ) > fun_fu399576434l_bool ).
tff(hAPP_p61793385e_bool,type,
hAPP_p61793385e_bool: ( fun_pn800050071e_bool * pname ) > fun_pname_bool ).
tff(hAPP_H1355725988e_bool,type,
hAPP_H1355725988e_bool: ( fun_Ho585232518e_bool * hoare_1848483303_state ) > fun_pname_bool ).
tff(image_71018297_state,type,
image_71018297_state: ( fun_fu1538259051_state * fun_fu64031073l_bool ) > fun_Ho734851753e_bool ).
tff(member1948767740e_bool,type,
member1948767740e_bool: fun_fu1259080373l_bool ).
tff(collec2020384458l_bool,type,
collec2020384458l_bool: fun_fu64031073l_bool > fun_fu64031073l_bool ).
tff(cOMBB_1397003211_state,type,
cOMBB_1397003211_state: ( fun_bool_bool * fun_Ho734851753e_bool ) > fun_Ho734851753e_bool ).
tff('#skF_26',type,
'#skF_26': ( fun_fu1430349052l_bool * fun_pname_bool * fun_pname_bool ) > fun_pname_bool ).
tff(hAPP_option_com_com,type,
hAPP_option_com_com: ( fun_option_com_com * option_com ) > com ).
tff('#skF_33',type,
'#skF_33': pname > com ).
tff(dom_pname_com,type,
dom_pname_com: fun_pname_option_com > fun_pname_bool ).
tff(cOMBK_37193422_pname,type,
cOMBK_37193422_pname: fun_pname_bool > fun_pn800050071e_bool ).
tff(cOMBK_240819937_pname,type,
cOMBK_240819937_pname: hoare_1848483303_state > fun_pn447269700_state ).
tff(y,type,
y: com ).
tff('#skF_28',type,
'#skF_28': ( fun_fu1783763359l_bool * fun_Ho734851753e_bool * fun_Ho734851753e_bool ) > fun_Ho734851753e_bool ).
tff(hAPP_f510955609l_bool,type,
hAPP_f510955609l_bool: ( fun_fu1911931399l_bool * fun_fu1430349052l_bool ) > fun_fu399576434l_bool ).
tff(cOMBK_354802397e_bool,type,
cOMBK_354802397e_bool: hoare_1848483303_state > fun_fu1387033222_state ).
tff(hAPP_p675228438_state,type,
hAPP_p675228438_state: ( fun_pn447269700_state * pname ) > hoare_1848483303_state ).
tff('#skF_5',type,
'#skF_5': fun_Ho734851753e_bool > hoare_1848483303_state ).
tff(insert1390540323e_bool,type,
insert1390540323e_bool: ( fun_Ho734851753e_bool * fun_fu1783763359l_bool ) > fun_fu1783763359l_bool ).
tff(some_com,type,
some_com: com > option_com ).
tff(fimplies,type,
fimplies: fun_bo1549164019l_bool ).
tff(hAPP_f1297739591_pname,type,
hAPP_f1297739591_pname: ( fun_fu1499449723_pname * fun_pname_bool ) > pname ).
tff(ord_le313189616e_bool,type,
ord_le313189616e_bool: fun_fu802393907l_bool ).
tff(hAPP_f559147733l_bool,type,
hAPP_f559147733l_bool: ( fun_fu2087345469l_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff('#skF_35',type,
'#skF_35': ( fun_Ho734851753e_bool * fun_Ho734851753e_bool ) > hoare_1848483303_state ).
tff(hAPP_f50667184_pname,type,
hAPP_f50667184_pname: ( fun_fu891110808_pname * fun_Ho734851753e_bool ) > pname ).
tff('#skF_32',type,
'#skF_32': ( fun_fu64031073l_bool * fun_fu1783763359l_bool * fun_fu1783763359l_bool ) > fun_fu1783763359l_bool ).
tff(fa,type,
fa: fun_Ho734851753e_bool ).
tff('#skF_4',type,
'#skF_4': fun_fu1430349052l_bool > fun_pname_bool ).
tff(cOMBS_350070575l_bool,type,
cOMBS_350070575l_bool: ( fun_fu31783638l_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(cOMBK_1568566301_state,type,
cOMBK_1568566301_state: pname > fun_Ho862234382_pname ).
tff(hAPP_H1494965722_pname,type,
hAPP_H1494965722_pname: ( fun_Ho862234382_pname * hoare_1848483303_state ) > pname ).
tff('#skF_17',type,
'#skF_17': fun_fu1430349052l_bool > fun_pname_bool ).
tff(hAPP_H1199573897l_bool,type,
hAPP_H1199573897l_bool: ( fun_Ho1489168363l_bool * hoare_1848483303_state ) > fun_fu1783763359l_bool ).
tff(hoare_Mirabelle_MGT,type,
hoare_Mirabelle_MGT: fun_co1814942666_state ).
tff(bot_bo454148287e_bool,type,
bot_bo454148287e_bool: fun_Ho734851753e_bool ).
tff(hAPP_f1360064833l_bool,type,
hAPP_f1360064833l_bool: ( fun_fu1137856163l_bool * fun_fu1783763359l_bool ) > fun_fu1783763359l_bool ).
tff('#skF_25',type,
'#skF_25': ( fun_fu1430349052l_bool * fun_pname_bool * fun_pname_bool ) > pname ).
tff(hAPP_H1618070847e_bool,type,
hAPP_H1618070847e_bool: ( fun_Ho1480763635e_bool * hoare_1848483303_state ) > fun_Ho734851753e_bool ).
tff(fdisj,type,
fdisj: fun_bo1549164019l_bool ).
tff(image_783059513l_bool,type,
image_783059513l_bool: ( fun_Ho1489168363l_bool * fun_Ho734851753e_bool ) > fun_fu64031073l_bool ).
tff(cOMBK_1751623554_state,type,
cOMBK_1751623554_state: fun_Ho734851753e_bool > fun_Ho1480763635e_bool ).
tff('#skF_7',type,
'#skF_7': fun_fu399576434l_bool > fun_fu1430349052l_bool ).
tff(body_1,type,
body_1: fun_pname_com ).
tff(cOMBB_923936821_pname,type,
cOMBB_923936821_pname: ( fun_option_com_com * fun_pname_option_com ) > fun_pname_com ).
tff(cOMBK_1857069011e_bool,type,
cOMBK_1857069011e_bool: bool > fun_fu1430349052l_bool ).
tff(cOMBC_1420373658l_bool,type,
cOMBC_1420373658l_bool: fun_fu325884881l_bool > fun_fu325884881l_bool ).
tff(insert1325755072e_bool,type,
insert1325755072e_bool: ( fun_pname_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(fconj,type,
fconj: fun_bo1549164019l_bool ).
tff(member799430823e_bool,type,
member799430823e_bool: fun_fu931343505l_bool ).
tff(image_2051793258e_bool,type,
image_2051793258e_bool: ( fun_pn2079317538e_bool * fun_pname_bool ) > fun_fu1783763359l_bool ).
tff(image_1820576158l_bool,type,
image_1820576158l_bool: ( fun_pn1359388668l_bool * fun_pname_bool ) > fun_fu64031073l_bool ).
tff(cOMBK_1197227241_pname,type,
cOMBK_1197227241_pname: fun_Ho734851753e_bool > fun_pn2079317538e_bool ).
tff(cOMBK_2014663096l_bool,type,
cOMBK_2014663096l_bool: bool > fun_fu64031073l_bool ).
tff(finite595471783e_bool,type,
finite595471783e_bool: fun_fu399576434l_bool ).
tff(hAPP_p799580910on_com,type,
hAPP_p799580910on_com: ( fun_pname_option_com * pname ) > option_com ).
tff(hAPP_f2022158333l_bool,type,
hAPP_f2022158333l_bool: ( fun_fu296636465l_bool * fun_fu1783763359l_bool ) > fun_bool_bool ).
tff(collec1616186998l_bool,type,
collec1616186998l_bool: fun_fu1690815831l_bool > fun_fu1690815831l_bool ).
tff(cOMBC_1803918242l_bool,type,
cOMBC_1803918242l_bool: fun_Ho1489168363l_bool > fun_fu77875581e_bool ).
tff(hAPP_f355887345l_bool,type,
hAPP_f355887345l_bool: ( fun_fu1783763359l_bool * fun_Ho734851753e_bool ) > bool ).
tff(image_249571983e_bool,type,
image_249571983e_bool: ( fun_Ho1480763635e_bool * fun_Ho734851753e_bool ) > fun_fu1783763359l_bool ).
tff(cOMBK_2059960192_state,type,
cOMBK_2059960192_state: bool > fun_Ho734851753e_bool ).
tff(insert1735796133l_bool,type,
insert1735796133l_bool: ( fun_fu1783763359l_bool * fun_fu64031073l_bool ) > fun_fu64031073l_bool ).
tff(image_47868345e_bool,type,
image_47868345e_bool: ( fun_pn800050071e_bool * fun_pname_bool ) > fun_fu1430349052l_bool ).
tff('#skF_22',type,
'#skF_22': ( fun_Ho734851753e_bool * fun_pn447269700_state * fun_pname_bool ) > fun_pname_bool ).
tff(hAPP_f759274231e_bool,type,
hAPP_f759274231e_bool: ( fun_fu410713561e_bool * fun_pname_bool ) > fun_pname_bool ).
tff(hAPP_f1359865257l_bool,type,
hAPP_f1359865257l_bool: ( fun_fu1690815831l_bool * fun_fu64031073l_bool ) > bool ).
tff('#skF_30',type,
'#skF_30': ( fun_fu399576434l_bool * fun_fu1430349052l_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(hAPP_f844837559l_bool,type,
hAPP_f844837559l_bool: ( fun_fu867166233l_bool * fun_fu1690815831l_bool ) > bool ).
tff(wT_bodies,type,
wT_bodies: bool ).
tff(cOMBB_647938656_pname,type,
cOMBB_647938656_pname: ( fun_bool_bool * fun_pname_bool ) > fun_pname_bool ).
tff(hAPP_f141816996_state,type,
hAPP_f141816996_state: ( fun_fu1387033222_state * fun_pname_bool ) > hoare_1848483303_state ).
tff('#skF_23',type,
'#skF_23': ( com * fun_Ho734851753e_bool ) > pname ).
tff('#skF_27',type,
'#skF_27': ( fun_fu1783763359l_bool * fun_Ho734851753e_bool * fun_Ho734851753e_bool ) > hoare_1848483303_state ).
tff(image_2075962154_pname,type,
image_2075962154_pname: ( fun_Ho862234382_pname * fun_Ho734851753e_bool ) > fun_pname_bool ).
tff(hAPP_f32027384l_bool,type,
hAPP_f32027384l_bool: ( fun_fu1171508960l_bool * fun_fu1430349052l_bool ) > fun_bool_bool ).
tff(image_1916896084_state,type,
image_1916896084_state: ( fun_fu1387033222_state * fun_fu1430349052l_bool ) > fun_Ho734851753e_bool ).
tff('#skF_20',type,
'#skF_20': fun_pname_bool > pname ).
tff(hAPP_pname_bool,type,
hAPP_pname_bool: ( fun_pname_bool * pname ) > bool ).
tff('#skF_13',type,
'#skF_13': fun_fu1430349052l_bool > fun_pname_bool ).
tff(finite786885583l_bool,type,
finite786885583l_bool: fun_fu1438281908l_bool ).
tff(hAPP_f15397171l_bool,type,
hAPP_f15397171l_bool: ( fun_fu1478462177l_bool * fun_Ho734851753e_bool ) > fun_fu1783763359l_bool ).
tff(collec792590109l_bool,type,
collec792590109l_bool: fun_fu1438281908l_bool > fun_fu1438281908l_bool ).
tff(dom_fu2081503504ol_com,type,
dom_fu2081503504ol_com: fun_fu799392094on_com > fun_fu1430349052l_bool ).
tff(bot_bo1649642514l_bool,type,
bot_bo1649642514l_bool: fun_fu1430349052l_bool ).
tff(cOMBC_1058051404l_bool,type,
cOMBC_1058051404l_bool: fun_pn422929397l_bool > fun_fu410713561e_bool ).
tff(finite1491191519l_bool,type,
finite1491191519l_bool: fun_fu2065874474l_bool ).
tff(finite1393641268l_bool,type,
finite1393641268l_bool: fun_fu867166233l_bool ).
tff(hAPP_f636233299on_com,type,
hAPP_f636233299on_com: ( fun_fu549469569on_com * fun_Ho734851753e_bool ) > option_com ).
tff('#skF_8',type,
'#skF_8': fun_fu64031073l_bool > fun_fu1783763359l_bool ).
tff(hAPP_f617245717e_bool,type,
hAPP_f617245717e_bool: ( fun_fu77875581e_bool * fun_Ho734851753e_bool ) > fun_Ho734851753e_bool ).
tff(finite297877756e_bool,type,
finite297877756e_bool: fun_fu64031073l_bool ).
tff(hAPP_f389811538l_bool,type,
hAPP_f389811538l_bool: ( fun_fu1438281908l_bool * fun_fu399576434l_bool ) > bool ).
tff(cOMBK_1288377053_state,type,
cOMBK_1288377053_state: fun_pname_bool > fun_Ho585232518e_bool ).
tff(cOMBS_1990964188l_bool,type,
cOMBS_1990964188l_bool: ( fun_Ho2109050089l_bool * fun_Ho734851753e_bool ) > fun_Ho734851753e_bool ).
tff(cOMBC_80545690l_bool,type,
cOMBC_80545690l_bool: fun_fu1478462177l_bool > fun_fu1478462177l_bool ).
tff(cOMBK_948730864e_bool,type,
cOMBK_948730864e_bool: pname > fun_fu1499449723_pname ).
tff(collec1613912337l_bool,type,
collec1613912337l_bool: fun_fu399576434l_bool > fun_fu399576434l_bool ).
tff(hAPP_H2060173127e_bool,type,
hAPP_H2060173127e_bool: ( fun_Ho734851753e_bool * hoare_1848483303_state ) > bool ).
tff(hAPP_f1258983629l_bool,type,
hAPP_f1258983629l_bool: ( fun_fu1259080373l_bool * fun_Ho734851753e_bool ) > fun_fu64031073l_bool ).
tff(bot_bo844097828e_bool,type,
bot_bo844097828e_bool: fun_pname_bool ).
tff(cOMBB_675860798_pname,type,
cOMBB_675860798_pname: ( fun_bo1549164019l_bool * fun_pname_bool ) > fun_pn250273176l_bool ).
tff(cOMBK_1270376774e_bool,type,
cOMBK_1270376774e_bool: hoare_1848483303_state > fun_fu1404623273_state ).
tff(hAPP_pname_pname,type,
hAPP_pname_pname: ( fun_pname_pname * pname ) > pname ).
tff(hAPP_f1476298914l_bool,type,
hAPP_f1476298914l_bool: ( fun_fu31783638l_bool * fun_pname_bool ) > fun_bool_bool ).
tff(hAPP_f2138803836on_com,type,
hAPP_f2138803836on_com: ( fun_fu799392094on_com * fun_pname_bool ) > option_com ).
tff(image_1825746272_pname,type,
image_1825746272_pname: ( fun_fu891110808_pname * fun_fu1783763359l_bool ) > fun_pname_bool ).
tff('#skF_34',type,
'#skF_34': ( fun_pname_bool * fun_pname_bool ) > pname ).
tff(fFalse,type,
fFalse: bool ).
tff(hAPP_p338031245l_bool,type,
hAPP_p338031245l_bool: ( fun_pn422929397l_bool * pname ) > fun_fu1430349052l_bool ).
tff(finite181314444l_bool,type,
finite181314444l_bool: fun_fu1690815831l_bool ).
tff(cOMBC_1690116422l_bool,type,
cOMBC_1690116422l_bool: fun_fu1483785331l_bool > fun_fu1483785331l_bool ).
tff(cOMBC_1947058646e_bool,type,
cOMBC_1947058646e_bool: fun_Ho1480763635e_bool > fun_Ho1480763635e_bool ).
tff('#skF_12',type,
'#skF_12': fun_pname_bool > pname ).
tff(collec1974731493e_bool,type,
collec1974731493e_bool: fun_fu1430349052l_bool > fun_fu1430349052l_bool ).
tff('#skF_31',type,
'#skF_31': ( fun_fu64031073l_bool * fun_fu1783763359l_bool * fun_fu1783763359l_bool ) > fun_Ho734851753e_bool ).
tff(cOMBC_7971162l_bool,type,
cOMBC_7971162l_bool: fun_fu1911931399l_bool > fun_fu1911931399l_bool ).
tff(cOMBS_1278217668l_bool,type,
cOMBS_1278217668l_bool: ( fun_fu947309171l_bool * fun_fu1783763359l_bool ) > fun_fu1783763359l_bool ).
tff(ord_le675606854l_bool,type,
ord_le675606854l_bool: fun_fu1911931399l_bool ).
tff(cOMBC_1149511130e_bool,type,
cOMBC_1149511130e_bool: fun_pn800050071e_bool > fun_pn800050071e_bool ).
tff(collec1708318610_state,type,
collec1708318610_state: fun_Ho734851753e_bool > fun_Ho734851753e_bool ).
tff('#skF_2',type,
'#skF_2': fun_fu64031073l_bool > fun_fu1783763359l_bool ).
tff(collect_pname,type,
collect_pname: fun_pname_bool > fun_pname_bool ).
tff(hBOOL,type,
hBOOL: bool > $o ).
tff(image_1283814551_pname,type,
image_1283814551_pname: ( fun_fu1499449723_pname * fun_fu1430349052l_bool ) > fun_pname_bool ).
tff(hAPP_b589554111l_bool,type,
hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).
tff(cOMBK_2110745040e_bool,type,
cOMBK_2110745040e_bool: bool > fun_fu1783763359l_bool ).
tff(ord_le1119700979e_bool,type,
ord_le1119700979e_bool: fun_fu1478462177l_bool ).
tff(hAPP_f1664156314l_bool,type,
hAPP_f1664156314l_bool: ( fun_fu1430349052l_bool * fun_pname_bool ) > bool ).
tff(hAPP_f434788991l_bool,type,
hAPP_f434788991l_bool: ( fun_fu802393907l_bool * fun_pname_bool ) > fun_fu1430349052l_bool ).
tff(hAPP_c379084956_state,type,
hAPP_c379084956_state: ( fun_co1814942666_state * com ) > hoare_1848483303_state ).
tff(cOMBS_568398431l_bool,type,
cOMBS_568398431l_bool: ( fun_pn250273176l_bool * fun_pname_bool ) > fun_pname_bool ).
tff(insert_pname,type,
insert_pname: ( pname * fun_pname_bool ) > fun_pname_bool ).
tff(hAPP_f595608956l_bool,type,
hAPP_f595608956l_bool: ( fun_fu2065874474l_bool * fun_fu1438281908l_bool ) > bool ).
tff(bot_bo2068035593l_bool,type,
bot_bo2068035593l_bool: fun_fu1783763359l_bool ).
tff(member_pname,type,
member_pname: fun_pn422929397l_bool ).
tff(wt,type,
wt: com > bool ).
tff(image_1705983821_pname,type,
image_1705983821_pname: ( fun_fu1664106117_pname * fun_fu399576434l_bool ) > fun_pname_bool ).
tff(pn,type,
pn: pname ).
tff(collec1657840446e_bool,type,
collec1657840446e_bool: fun_fu1783763359l_bool > fun_fu1783763359l_bool ).
tff(cOMBB_1356070853e_bool,type,
cOMBB_1356070853e_bool: ( fun_bool_bool * fun_fu1783763359l_bool ) > fun_fu1783763359l_bool ).
tff('#skF_21',type,
'#skF_21': ( hoare_1848483303_state * fun_pn447269700_state * fun_pname_bool ) > pname ).
tff('#skF_15',type,
'#skF_15': fun_Ho734851753e_bool > hoare_1848483303_state ).
tff('#skF_29',type,
'#skF_29': ( fun_fu399576434l_bool * fun_fu1430349052l_bool * fun_fu1430349052l_bool ) > fun_pname_bool ).
tff(image_2036190066_pname,type,
image_2036190066_pname: ( fun_fu1931361878_pname * fun_fu64031073l_bool ) > fun_pname_bool ).
tff('#skF_10',type,
'#skF_10': fun_fu1430349052l_bool > fun_pname_bool ).
tff(member591555156_state,type,
member591555156_state: fun_Ho1489168363l_bool ).
tff(cOMBK_1423274227e_bool,type,
cOMBK_1423274227e_bool: pname > fun_fu891110808_pname ).
tff(bot_bo973295223l_bool,type,
bot_bo973295223l_bool: fun_fu64031073l_bool ).
tff('#skF_11',type,
'#skF_11': fun_Ho734851753e_bool > hoare_1848483303_state ).
tff(image_730818763_state,type,
image_730818763_state: ( fun_fu1404623273_state * fun_fu1783763359l_bool ) > fun_Ho734851753e_bool ).
tff(bot_bo1537088220l_bool,type,
bot_bo1537088220l_bool: fun_fu399576434l_bool ).
tff(cOMBC_336095980l_bool,type,
cOMBC_336095980l_bool: fun_fu1086940979l_bool > fun_fu1086940979l_bool ).
tff(hAPP_p393069232l_bool,type,
hAPP_p393069232l_bool: ( fun_pn250273176l_bool * pname ) > fun_bool_bool ).
tff('#skF_1',type,
'#skF_1': fun_fu399576434l_bool > fun_fu1430349052l_bool ).
tff(fequal1145749800e_bool,type,
fequal1145749800e_bool: fun_fu1478462177l_bool ).
tff('#skF_18',type,
'#skF_18': fun_fu1783763359l_bool > fun_Ho734851753e_bool ).
tff(hAPP_f170941835l_bool,type,
hAPP_f170941835l_bool: ( fun_fu947309171l_bool * fun_Ho734851753e_bool ) > fun_bool_bool ).
tff(image_2078273054_state,type,
image_2078273054_state: ( fun_fu230733820_state * fun_fu399576434l_bool ) > fun_Ho734851753e_bool ).
tff('#skF_24',type,
'#skF_24': ( hoare_1848483303_state * fun_pn447269700_state * fun_pname_bool ) > pname ).
tff(cOMBC_1100692246l_bool,type,
cOMBC_1100692246l_bool: fun_fu1259080373l_bool > fun_fu1137856163l_bool ).
tff(f_1779,hypothesis,
hAPP_p799580910on_com(body,pn) = some_com(y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
tff(f_1774,hypothesis,
hBOOL(wT_bodies),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
tff(f_1444,axiom,
! [Pn: pname,B_2: com] :
( hBOOL(wT_bodies)
=> ( ( hAPP_p799580910on_com(body,Pn) = some_com(B_2) )
=> hBOOL(wt(B_2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_288_WT__bodiesD) ).
tff(f_1618,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
tff(f_1622,axiom,
! [P: bool] :
( ( P = fTrue )
| ( P = fFalse ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_T) ).
tff(f_1276,axiom,
! [P_1: fun_Ho734851753e_bool] : ( collec1708318610_state(P_1) = P_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_255_Collect__def) ).
tff(f_1423,axiom,
! [A_2: hoare_1848483303_state] : ( collec1708318610_state(hAPP_H1618070847e_bool(fequal364418600_state,A_2)) = insert668001005_state(A_2,bot_bo454148287e_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_284_singleton__conv2) ).
tff(f_1782,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))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).
tff(f_1775,hypothesis,
hBOOL(hAPP_f355887345l_bool(finite1765195604_state,fa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
tff(f_33,axiom,
! [G: fun_Ho734851753e_bool] : hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(G),bot_bo454148287e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).
tff(f_55,axiom,
! [G: fun_Ho734851753e_bool,G_1: fun_Ho734851753e_bool,Ts: fun_Ho734851753e_bool] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(G_1),Ts))
=> ( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(G),G_1))
=> hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(G),Ts)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cut) ).
tff(f_1773,hypothesis,
hBOOL(hoare_1310879719gleton),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f_546,axiom,
! [C_1: com] :
( hBOOL(hoare_1310879719gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(wt(C_1))
=> hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,C_1),bot_bo454148287e_bool))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_MGF) ).
tff(c_1009,plain,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(cnfTransformation,[status(thm)],[f_1779]) ).
tff(c_1001,plain,
hBOOL(wT_bodies),
inference(cnfTransformation,[status(thm)],[f_1774]) ).
tff(c_796,plain,
! [B_2_677: com,Pn_676: pname] :
( hBOOL(wt(B_2_677))
| ( some_com(B_2_677) != hAPP_p799580910on_com(body,Pn_676) )
| ~ hBOOL(wT_bodies) ),
inference(cnfTransformation,[status(thm)],[f_1444]) ).
tff(c_9530,plain,
! [B_2_9535: com,Pn_9536: pname] :
( hBOOL(wt(B_2_9535))
| ( some_com(B_2_9535) != hAPP_p799580910on_com(body,Pn_9536) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_796]) ).
tff(c_9531,plain,
! [B_2_9535: com] :
( hBOOL(wt(B_2_9535))
| ( some_com(y) != some_com(B_2_9535) ) ),
inference(superposition,[status(thm),theory(equality)],[c_1009,c_9530]) ).
tff(c_881,plain,
~ hBOOL(fFalse),
inference(cnfTransformation,[status(thm)],[f_1618]) ).
tff(c_1240,plain,
! [P_881: bool] :
( ( fFalse = P_881 )
| ( fTrue = P_881 ) ),
inference(cnfTransformation,[status(thm)],[f_1622]) ).
tff(c_696,plain,
! [P_1_606: fun_Ho734851753e_bool] : ( collec1708318610_state(P_1_606) = P_1_606 ),
inference(cnfTransformation,[status(thm)],[f_1276]) ).
tff(c_786,plain,
! [A_2_670: hoare_1848483303_state] : ( collec1708318610_state(hAPP_H1618070847e_bool(fequal364418600_state,A_2_670)) = insert668001005_state(A_2_670,bot_bo454148287e_bool) ),
inference(cnfTransformation,[status(thm)],[f_1423]) ).
tff(c_1037,plain,
! [A_2_670: hoare_1848483303_state] : ( insert668001005_state(A_2_670,bot_bo454148287e_bool) = hAPP_H1618070847e_bool(fequal364418600_state,A_2_670) ),
inference(demodulation,[status(thm),theory(equality)],[c_696,c_786]) ).
tff(c_1013,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(cnfTransformation,[status(thm)],[f_1782]) ).
tff(c_1045,plain,
~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),hAPP_H1618070847e_bool(fequal364418600_state,hAPP_c379084956_state(hoare_Mirabelle_MGT,y)))),
inference(demodulation,[status(thm),theory(equality)],[c_1037,c_1013]) ).
tff(c_1246,plain,
( ~ hBOOL(fTrue)
| ( hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),hAPP_H1618070847e_bool(fequal364418600_state,hAPP_c379084956_state(hoare_Mirabelle_MGT,y))) = fFalse ) ),
inference(superposition,[status(thm),theory(equality)],[c_1240,c_1045]) ).
tff(c_1281,plain,
~ hBOOL(fTrue),
inference(splitLeft,[status(thm)],[c_1246]) ).
tff(c_883,plain,
! [P_730: bool] :
( ( fFalse = P_730 )
| ( fTrue = P_730 ) ),
inference(cnfTransformation,[status(thm)],[f_1622]) ).
tff(c_1003,plain,
hBOOL(hAPP_f355887345l_bool(finite1765195604_state,fa)),
inference(cnfTransformation,[status(thm)],[f_1775]) ).
tff(c_1326,plain,
( hBOOL(fTrue)
| ( hAPP_f355887345l_bool(finite1765195604_state,fa) = fFalse ) ),
inference(superposition,[status(thm),theory(equality)],[c_883,c_1003]) ).
tff(c_1327,plain,
hAPP_f355887345l_bool(finite1765195604_state,fa) = fFalse,
inference(negUnitSimplification,[status(thm)],[c_1281,c_1326]) ).
tff(c_1328,plain,
hBOOL(fFalse),
inference(demodulation,[status(thm),theory(equality)],[c_1327,c_1003]) ).
tff(c_1330,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_881,c_1328]) ).
tff(c_1331,plain,
hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),hAPP_H1618070847e_bool(fequal364418600_state,hAPP_c379084956_state(hoare_Mirabelle_MGT,y))) = fFalse,
inference(splitRight,[status(thm)],[c_1246]) ).
tff(c_1332,plain,
hBOOL(fTrue),
inference(splitRight,[status(thm)],[c_1246]) ).
tff(c_2,plain,
! [G_1: fun_Ho734851753e_bool] : hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(G_1),bot_bo454148287e_bool)),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_64568,plain,
! [G_30240: fun_Ho734851753e_bool,Ts_30241: fun_Ho734851753e_bool,G_1_30242: fun_Ho734851753e_bool] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(G_30240),Ts_30241))
| ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(G_30240),G_1_30242))
| ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(G_1_30242),Ts_30241)) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_89258,plain,
! [G_37356: fun_Ho734851753e_bool,Ts_37357: fun_Ho734851753e_bool] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(G_37356),Ts_37357))
| ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),Ts_37357)) ),
inference(resolution,[status(thm)],[c_2,c_64568]) ).
tff(c_89299,plain,
! [G_37356: fun_Ho734851753e_bool,Ts_37357: fun_Ho734851753e_bool] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(G_37356),Ts_37357))
| ~ hBOOL(fTrue)
| ( hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),Ts_37357) = fFalse ) ),
inference(superposition,[status(thm),theory(equality)],[c_883,c_89258]) ).
tff(c_93208,plain,
! [G_38621: fun_Ho734851753e_bool,Ts_38622: fun_Ho734851753e_bool] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(G_38621),Ts_38622))
| ( hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),Ts_38622) = fFalse ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1332,c_89299]) ).
tff(c_93256,plain,
( hBOOL(fFalse)
| ( hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),hAPP_H1618070847e_bool(fequal364418600_state,hAPP_c379084956_state(hoare_Mirabelle_MGT,y))) = fFalse ) ),
inference(superposition,[status(thm),theory(equality)],[c_1331,c_93208]) ).
tff(c_93274,plain,
hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),hAPP_H1618070847e_bool(fequal364418600_state,hAPP_c379084956_state(hoare_Mirabelle_MGT,y))) = fFalse,
inference(negUnitSimplification,[status(thm)],[c_881,c_93256]) ).
tff(c_999,plain,
hBOOL(hoare_1310879719gleton),
inference(cnfTransformation,[status(thm)],[f_1773]) ).
tff(c_244,plain,
! [C_1_222: com] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,C_1_222),bot_bo454148287e_bool)))
| ~ hBOOL(wt(C_1_222))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1310879719gleton) ),
inference(cnfTransformation,[status(thm)],[f_546]) ).
tff(c_1135,plain,
! [C_1_222: com] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),hAPP_H1618070847e_bool(fequal364418600_state,hAPP_c379084956_state(hoare_Mirabelle_MGT,C_1_222))))
| ~ hBOOL(wt(C_1_222)) ),
inference(demodulation,[status(thm),theory(equality)],[c_999,c_1001,c_1037,c_244]) ).
tff(c_93328,plain,
( hBOOL(fFalse)
| ~ hBOOL(wt(y)) ),
inference(superposition,[status(thm),theory(equality)],[c_93274,c_1135]) ).
tff(c_93378,plain,
~ hBOOL(wt(y)),
inference(negUnitSimplification,[status(thm)],[c_881,c_93328]) ).
tff(c_93408,plain,
$false,
inference(resolution,[status(thm)],[c_9531,c_93378]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWW474_1 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.08 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Thu Aug 3 19:30:06 EDT 2023
% 0.08/0.27 % CPUTime :
% 40.37/23.89 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 40.47/23.90
% 40.47/23.90 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 40.47/23.94
% 40.47/23.94 Inference rules
% 40.47/23.94 ----------------------
% 40.47/23.94 #Ref : 8
% 40.47/23.94 #Sup : 22339
% 40.47/23.94 #Fact : 1
% 40.47/23.94 #Define : 0
% 40.47/23.94 #Split : 7
% 40.47/23.94 #Chain : 0
% 40.47/23.94 #Close : 0
% 40.47/23.94
% 40.47/23.94 Ordering : KBO
% 40.47/23.94
% 40.47/23.94 Simplification rules
% 40.47/23.94 ----------------------
% 40.47/23.94 #Subsume : 8730
% 40.47/23.94 #Demod : 8362
% 40.47/23.94 #Tautology : 7796
% 40.47/23.94 #SimpNegUnit : 3529
% 40.47/23.94 #BackRed : 105
% 40.47/23.94
% 40.47/23.94 #Partial instantiations: 1533
% 40.47/23.94 #Strategies tried : 1
% 40.47/23.94
% 40.47/23.94 Timing (in seconds)
% 40.47/23.94 ----------------------
% 40.47/23.94 Preprocessing : 1.38
% 40.47/23.94 Parsing : 0.82
% 40.47/23.94 CNF conversion : 0.11
% 40.47/23.94 Main loop : 21.59
% 40.47/23.94 Inferencing : 3.63
% 40.47/23.94 Reduction : 11.42
% 40.47/23.94 Demodulation : 8.61
% 40.47/23.94 BG Simplification : 0.19
% 40.47/23.94 Subsumption : 5.33
% 40.47/23.94 Abstraction : 0.20
% 40.47/23.94 MUC search : 0.00
% 40.47/23.94 Cooper : 0.00
% 40.47/23.94 Total : 23.03
% 40.47/23.94 Index Insertion : 0.00
% 40.47/23.94 Index Deletion : 0.00
% 40.47/23.94 Index Matching : 0.00
% 40.47/23.94 BG Taut test : 0.00
%------------------------------------------------------------------------------