TSTP Solution File: SWW474+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW474+1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 : Sun May 5 11:40:15 EDT 2024
% Result : Theorem 17.68s 2.99s
% Output : Refutation 18.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 197
% Syntax : Number of formulae : 704 ( 290 unt; 0 def)
% Number of atoms : 1532 ( 580 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 1372 ( 544 ~; 466 |; 162 &)
% ( 59 <=>; 141 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 172 ( 172 usr; 45 con; 0-2 aty)
% Number of variables : 1099 (1027 !; 72 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f70624,plain,
$false,
inference(subsumption_resolution,[],[f70623,f2608]) ).
fof(f2608,plain,
hBOOL(wt(y)),
inference(equality_resolution,[],[f2607]) ).
fof(f2607,plain,
! [X0] :
( some_com(y) != some_com(X0)
| hBOOL(wt(X0)) ),
inference(superposition,[],[f1979,f1311]) ).
fof(f1311,plain,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(cnf_transformation,[],[f426]) ).
fof(f426,axiom,
hAPP_p799580910on_com(body,pn) = some_com(y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
fof(f1979,plain,
! [X0,X1] :
( hAPP_p799580910on_com(body,X0) != some_com(X1)
| hBOOL(wt(X1)) ),
inference(global_subsumption,[],[f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1973,f1369,f1370,f1890,f1974,f1372,f1371,f1376,f1375,f1891,f1975,f1377,f1378,f1379,f1380,f1381,f1892,f1976,f1382,f1893,f1977,f1385,f1384,f1389,f1388,f1894,f1978,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1399,f1398,f1397,f1402,f1401,f1400,f1404,f1403,f1406,f1405,f1408,f1407,f1410,f1409,f1413,f1412,f1411,f1416,f1415,f1414,f1419,f1418,f1417,f1422,f1421,f1420,f1424,f1423,f1426,f1425,f1895,f1427,f1896,f1429,f1897,f1431,f1434,f1898,f1436,f1899,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1455,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1479,f1900,f1481,f1901,f1483,f1902,f1485,f1903,f1487,f1904,f1489,f1488,f1491,f1490,f1493,f1492,f1495,f1494,f1497,f1496,f1499,f1498,f1501,f1500,f1503,f1502,f1504,f1505,f1506,f1507,f1508,f1905,f1906,f1907,f1908,f1513,f1514,f1515,f1516,f1517,f1518,f1519]) ).
fof(f1519,plain,
! [X0,X1] :
( hBOOL(wt(X1))
| hAPP_p799580910on_com(body,X0) != some_com(X1)
| ~ hBOOL(wT_bodies) ),
inference(cnf_transformation,[],[f827]) ).
fof(f827,plain,
! [X0,X1] :
( hBOOL(wt(X1))
| hAPP_p799580910on_com(body,X0) != some_com(X1)
| ~ hBOOL(wT_bodies) ),
inference(flattening,[],[f826]) ).
fof(f826,plain,
! [X0,X1] :
( hBOOL(wt(X1))
| hAPP_p799580910on_com(body,X0) != some_com(X1)
| ~ hBOOL(wT_bodies) ),
inference(ennf_transformation,[],[f547]) ).
fof(f547,plain,
! [X0,X1] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X0) = some_com(X1)
=> hBOOL(wt(X1)) ) ),
inference(rectify,[],[f342]) ).
fof(f342,axiom,
! [X28,X29] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X28) = some_com(X29)
=> hBOOL(wt(X29)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_288_WT__bodiesD) ).
fof(f1518,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X0),X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f546]) ).
fof(f546,plain,
! [X0,X1] :
( X0 = X1
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X0),X1)) ),
inference(rectify,[],[f389]) ).
fof(f389,axiom,
! [X38,X39] :
( X38 = X39
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X38),X39)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_1_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple) ).
fof(f1517,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X0),X1))
| hBOOL(X0) ),
inference(cnf_transformation,[],[f545]) ).
fof(f545,plain,
! [X0,X1] :
( hBOOL(X0)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X0),X1)) ),
inference(rectify,[],[f357]) ).
fof(f357,axiom,
! [X32,X37] :
( hBOOL(X32)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X32),X37)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fconj_2_1_U) ).
fof(f1516,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X0),X1))
| hBOOL(X1) ),
inference(cnf_transformation,[],[f544]) ).
fof(f544,plain,
! [X0,X1] :
( hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X0),X1)) ),
inference(rectify,[],[f358]) ).
fof(f358,axiom,
! [X32,X37] :
( hBOOL(X37)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X32),X37)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fconj_3_1_U) ).
fof(f1515,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X0),X1))
| hBOOL(X0)
| hBOOL(X1) ),
inference(cnf_transformation,[],[f543]) ).
fof(f543,plain,
! [X0,X1] :
( hBOOL(X1)
| hBOOL(X0)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X0),X1)) ),
inference(rectify,[],[f361]) ).
fof(f361,axiom,
! [X32,X37] :
( hBOOL(X37)
| hBOOL(X32)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X32),X37)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fdisj_3_1_U) ).
fof(f1514,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X0),X1))
| ~ hBOOL(X0)
| hBOOL(X1) ),
inference(cnf_transformation,[],[f542]) ).
fof(f542,plain,
! [X0,X1] :
( hBOOL(X1)
| ~ hBOOL(X0)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X0),X1)) ),
inference(rectify,[],[f366]) ).
fof(f366,axiom,
! [X32,X37] :
( hBOOL(X37)
| ~ hBOOL(X32)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X32),X37)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fimplies_3_1_U) ).
fof(f1513,plain,
! [X0,X1] :
( X0 = X1
| ~ hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X0),X1)) ),
inference(cnf_transformation,[],[f541]) ).
fof(f541,plain,
! [X0,X1] :
( X0 = X1
| ~ hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X0),X1)) ),
inference(rectify,[],[f379]) ).
fof(f379,axiom,
! [X38,X39] :
( X38 = X39
| ~ hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X38),X39)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_1_1_fequal_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com) ).
fof(f1908,plain,
! [X1] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X1),X1)),
inference(equality_resolution,[],[f1512]) ).
fof(f1512,plain,
! [X0,X1] :
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X0),X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f540]) ).
fof(f540,plain,
! [X0,X1] :
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X0),X1))
| X0 != X1 ),
inference(rectify,[],[f390]) ).
fof(f390,axiom,
! [X38,X39] :
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X38),X39))
| X38 != X39 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_2_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple) ).
fof(f1907,plain,
! [X1] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X1)),
inference(equality_resolution,[],[f1511]) ).
fof(f1511,plain,
! [X0,X1] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X0),X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f539]) ).
fof(f539,plain,
! [X0,X1] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X0),X1))
| X0 != X1 ),
inference(rectify,[],[f372]) ).
fof(f372,axiom,
! [X38,X39] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X38),X39))
| X38 != X39 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_2_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T) ).
fof(f1906,plain,
! [X1] : hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X1)),
inference(equality_resolution,[],[f1510]) ).
fof(f1510,plain,
! [X0,X1] :
( hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X0),X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f538]) ).
fof(f538,plain,
! [X0,X1] :
( hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X0),X1))
| X0 != X1 ),
inference(rectify,[],[f368]) ).
fof(f368,axiom,
! [X38,X39] :
( hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X38),X39))
| X38 != X39 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_2_1_fequal_000tc__Com__Opname_T) ).
fof(f1905,plain,
! [X1] : hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X1),X1)),
inference(equality_resolution,[],[f1509]) ).
fof(f1509,plain,
! [X0,X1] :
( hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X0),X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f537]) ).
fof(f537,plain,
! [X0,X1] :
( hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X0),X1))
| X0 != X1 ),
inference(rectify,[],[f380]) ).
fof(f380,axiom,
! [X38,X39] :
( hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X38),X39))
| X38 != X39 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_2_1_fequal_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com) ).
fof(f1508,plain,
! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X0))
| hBOOL(X1) ),
inference(cnf_transformation,[],[f536]) ).
fof(f536,plain,
! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X0))
| hBOOL(X1) ),
inference(rectify,[],[f364]) ).
fof(f364,axiom,
! [X37,X32] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X32),X37))
| hBOOL(X32) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fimplies_1_1_U) ).
fof(f1507,plain,
! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X0),X1))
| ~ hBOOL(X1) ),
inference(cnf_transformation,[],[f535]) ).
fof(f535,plain,
! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X0),X1))
| ~ hBOOL(X1) ),
inference(rectify,[],[f360]) ).
fof(f360,axiom,
! [X32,X37] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X32),X37))
| ~ hBOOL(X37) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fdisj_2_1_U) ).
fof(f1506,plain,
! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X0))
| ~ hBOOL(X1) ),
inference(cnf_transformation,[],[f534]) ).
fof(f534,plain,
! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X0))
| ~ hBOOL(X1) ),
inference(rectify,[],[f359]) ).
fof(f359,axiom,
! [X37,X32] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X32),X37))
| ~ hBOOL(X32) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fdisj_1_1_U) ).
fof(f1505,plain,
! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X0),X1))
| ~ hBOOL(X1) ),
inference(cnf_transformation,[],[f533]) ).
fof(f533,plain,
! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X0),X1))
| ~ hBOOL(X1) ),
inference(rectify,[],[f365]) ).
fof(f365,axiom,
! [X32,X37] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X32),X37))
| ~ hBOOL(X37) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fimplies_2_1_U) ).
fof(f1504,plain,
! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X0))
| ~ hBOOL(X0)
| ~ hBOOL(X1) ),
inference(cnf_transformation,[],[f532]) ).
fof(f532,plain,
! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X0))
| ~ hBOOL(X0)
| ~ hBOOL(X1) ),
inference(rectify,[],[f356]) ).
fof(f356,axiom,
! [X37,X32] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X32),X37))
| ~ hBOOL(X37)
| ~ hBOOL(X32) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fconj_1_1_U) ).
fof(f1502,plain,
! [X0,X1] :
( insert1556680138e_bool(X1,bot_bo535777328l_bool) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),X0))
| ~ hBOOL(hAPP_f971112728l_bool(X0,X1)) ),
inference(cnf_transformation,[],[f825]) ).
fof(f825,plain,
! [X0,X1] :
( ( bot_bo535777328l_bool = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),X0))
| hBOOL(hAPP_f971112728l_bool(X0,X1)) )
& ( insert1556680138e_bool(X1,bot_bo535777328l_bool) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),X0))
| ~ hBOOL(hAPP_f971112728l_bool(X0,X1)) ) ),
inference(ennf_transformation,[],[f531]) ).
fof(f531,plain,
! [X0,X1] :
( ( ~ hBOOL(hAPP_f971112728l_bool(X0,X1))
=> bot_bo535777328l_bool = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),X0)) )
& ( hBOOL(hAPP_f971112728l_bool(X0,X1))
=> insert1556680138e_bool(X1,bot_bo535777328l_bool) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),X0)) ) ),
inference(rectify,[],[f328]) ).
fof(f328,axiom,
! [X13,X11] :
( ( ~ hBOOL(hAPP_f971112728l_bool(X13,X11))
=> bot_bo535777328l_bool = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X11)),X13)) )
& ( hBOOL(hAPP_f971112728l_bool(X13,X11))
=> collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X11)),X13)) = insert1556680138e_bool(X11,bot_bo535777328l_bool) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_274_Collect__conv__if) ).
fof(f1503,plain,
! [X0,X1] :
( bot_bo535777328l_bool = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),X0))
| hBOOL(hAPP_f971112728l_bool(X0,X1)) ),
inference(cnf_transformation,[],[f825]) ).
fof(f1500,plain,
! [X0,X1] :
( collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X1)),X0)) = insert1556680138e_bool(X1,bot_bo535777328l_bool)
| ~ hBOOL(hAPP_f971112728l_bool(X0,X1)) ),
inference(cnf_transformation,[],[f824]) ).
fof(f824,plain,
! [X0,X1] :
( ( bot_bo535777328l_bool = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X1)),X0))
| hBOOL(hAPP_f971112728l_bool(X0,X1)) )
& ( collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X1)),X0)) = insert1556680138e_bool(X1,bot_bo535777328l_bool)
| ~ hBOOL(hAPP_f971112728l_bool(X0,X1)) ) ),
inference(ennf_transformation,[],[f530]) ).
fof(f530,plain,
! [X0,X1] :
( ( ~ hBOOL(hAPP_f971112728l_bool(X0,X1))
=> bot_bo535777328l_bool = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X1)),X0)) )
& ( hBOOL(hAPP_f971112728l_bool(X0,X1))
=> collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X1)),X0)) = insert1556680138e_bool(X1,bot_bo535777328l_bool) ) ),
inference(rectify,[],[f332]) ).
fof(f332,axiom,
! [X13,X11] :
( ( ~ hBOOL(hAPP_f971112728l_bool(X13,X11))
=> bot_bo535777328l_bool = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X11)),X13)) )
& ( hBOOL(hAPP_f971112728l_bool(X13,X11))
=> insert1556680138e_bool(X11,bot_bo535777328l_bool) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X11)),X13)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_278_Collect__conv__if2) ).
fof(f1501,plain,
! [X0,X1] :
( bot_bo535777328l_bool = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X1)),X0))
| hBOOL(hAPP_f971112728l_bool(X0,X1)) ),
inference(cnf_transformation,[],[f824]) ).
fof(f1498,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f1664156314l_bool(X0,X1))
| insert1325755072e_bool(X1,bot_bo1649642514l_bool) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),X0)) ),
inference(cnf_transformation,[],[f823]) ).
fof(f823,plain,
! [X0,X1] :
( ( bot_bo1649642514l_bool = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),X0))
| hBOOL(hAPP_f1664156314l_bool(X0,X1)) )
& ( insert1325755072e_bool(X1,bot_bo1649642514l_bool) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),X0))
| ~ hBOOL(hAPP_f1664156314l_bool(X0,X1)) ) ),
inference(ennf_transformation,[],[f529]) ).
fof(f529,plain,
! [X0,X1] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(X0,X1))
=> bot_bo1649642514l_bool = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),X0)) )
& ( hBOOL(hAPP_f1664156314l_bool(X0,X1))
=> insert1325755072e_bool(X1,bot_bo1649642514l_bool) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),X0)) ) ),
inference(rectify,[],[f327]) ).
fof(f327,axiom,
! [X13,X11] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(X13,X11))
=> bot_bo1649642514l_bool = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X11)),X13)) )
& ( hBOOL(hAPP_f1664156314l_bool(X13,X11))
=> collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X11)),X13)) = insert1325755072e_bool(X11,bot_bo1649642514l_bool) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_273_Collect__conv__if) ).
fof(f1499,plain,
! [X0,X1] :
( hBOOL(hAPP_f1664156314l_bool(X0,X1))
| bot_bo1649642514l_bool = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),X0)) ),
inference(cnf_transformation,[],[f823]) ).
fof(f1496,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f1664156314l_bool(X0,X1))
| collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X1)),X0)) = insert1325755072e_bool(X1,bot_bo1649642514l_bool) ),
inference(cnf_transformation,[],[f822]) ).
fof(f822,plain,
! [X0,X1] :
( ( bot_bo1649642514l_bool = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X1)),X0))
| hBOOL(hAPP_f1664156314l_bool(X0,X1)) )
& ( collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X1)),X0)) = insert1325755072e_bool(X1,bot_bo1649642514l_bool)
| ~ hBOOL(hAPP_f1664156314l_bool(X0,X1)) ) ),
inference(ennf_transformation,[],[f528]) ).
fof(f528,plain,
! [X0,X1] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(X0,X1))
=> bot_bo1649642514l_bool = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X1)),X0)) )
& ( hBOOL(hAPP_f1664156314l_bool(X0,X1))
=> collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X1)),X0)) = insert1325755072e_bool(X1,bot_bo1649642514l_bool) ) ),
inference(rectify,[],[f331]) ).
fof(f331,axiom,
! [X13,X11] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(X13,X11))
=> bot_bo1649642514l_bool = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X11)),X13)) )
& ( hBOOL(hAPP_f1664156314l_bool(X13,X11))
=> insert1325755072e_bool(X11,bot_bo1649642514l_bool) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X11)),X13)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_277_Collect__conv__if2) ).
fof(f1497,plain,
! [X0,X1] :
( hBOOL(hAPP_f1664156314l_bool(X0,X1))
| bot_bo1649642514l_bool = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X1)),X0)) ),
inference(cnf_transformation,[],[f822]) ).
fof(f1494,plain,
! [X0,X1] :
( insert1415133716_state(X1,bot_bo620288102e_bool) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),X0))
| ~ hBOOL(hAPP_H78829294e_bool(X0,X1)) ),
inference(cnf_transformation,[],[f821]) ).
fof(f821,plain,
! [X0,X1] :
( ( bot_bo620288102e_bool = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),X0))
| hBOOL(hAPP_H78829294e_bool(X0,X1)) )
& ( insert1415133716_state(X1,bot_bo620288102e_bool) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),X0))
| ~ hBOOL(hAPP_H78829294e_bool(X0,X1)) ) ),
inference(ennf_transformation,[],[f527]) ).
fof(f527,plain,
! [X0,X1] :
( ( ~ hBOOL(hAPP_H78829294e_bool(X0,X1))
=> bot_bo620288102e_bool = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),X0)) )
& ( hBOOL(hAPP_H78829294e_bool(X0,X1))
=> insert1415133716_state(X1,bot_bo620288102e_bool) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),X0)) ) ),
inference(rectify,[],[f326]) ).
fof(f326,axiom,
! [X13,X11] :
( ( ~ hBOOL(hAPP_H78829294e_bool(X13,X11))
=> bot_bo620288102e_bool = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X11)),X13)) )
& ( hBOOL(hAPP_H78829294e_bool(X13,X11))
=> insert1415133716_state(X11,bot_bo620288102e_bool) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X11)),X13)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_272_Collect__conv__if) ).
fof(f1495,plain,
! [X0,X1] :
( bot_bo620288102e_bool = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),X0))
| hBOOL(hAPP_H78829294e_bool(X0,X1)) ),
inference(cnf_transformation,[],[f821]) ).
fof(f1492,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_pname_bool(X0,X1))
| insert_pname(X1,bot_bo844097828e_bool) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),X0)) ),
inference(cnf_transformation,[],[f820]) ).
fof(f820,plain,
! [X0,X1] :
( ( bot_bo844097828e_bool = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),X0))
| hBOOL(hAPP_pname_bool(X0,X1)) )
& ( insert_pname(X1,bot_bo844097828e_bool) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),X0))
| ~ hBOOL(hAPP_pname_bool(X0,X1)) ) ),
inference(ennf_transformation,[],[f526]) ).
fof(f526,plain,
! [X0,X1] :
( ( ~ hBOOL(hAPP_pname_bool(X0,X1))
=> bot_bo844097828e_bool = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),X0)) )
& ( hBOOL(hAPP_pname_bool(X0,X1))
=> insert_pname(X1,bot_bo844097828e_bool) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),X0)) ) ),
inference(rectify,[],[f325]) ).
fof(f325,axiom,
! [X13,X11] :
( ( ~ hBOOL(hAPP_pname_bool(X13,X11))
=> bot_bo844097828e_bool = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X11)),X13)) )
& ( hBOOL(hAPP_pname_bool(X13,X11))
=> insert_pname(X11,bot_bo844097828e_bool) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X11)),X13)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_271_Collect__conv__if) ).
fof(f1493,plain,
! [X0,X1] :
( hBOOL(hAPP_pname_bool(X0,X1))
| bot_bo844097828e_bool = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),X0)) ),
inference(cnf_transformation,[],[f820]) ).
fof(f1490,plain,
! [X0,X1] :
( collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X1)),X0)) = insert1415133716_state(X1,bot_bo620288102e_bool)
| ~ hBOOL(hAPP_H78829294e_bool(X0,X1)) ),
inference(cnf_transformation,[],[f819]) ).
fof(f819,plain,
! [X0,X1] :
( ( bot_bo620288102e_bool = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X1)),X0))
| hBOOL(hAPP_H78829294e_bool(X0,X1)) )
& ( collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X1)),X0)) = insert1415133716_state(X1,bot_bo620288102e_bool)
| ~ hBOOL(hAPP_H78829294e_bool(X0,X1)) ) ),
inference(ennf_transformation,[],[f525]) ).
fof(f525,plain,
! [X0,X1] :
( ( ~ hBOOL(hAPP_H78829294e_bool(X0,X1))
=> bot_bo620288102e_bool = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X1)),X0)) )
& ( hBOOL(hAPP_H78829294e_bool(X0,X1))
=> collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X1)),X0)) = insert1415133716_state(X1,bot_bo620288102e_bool) ) ),
inference(rectify,[],[f330]) ).
fof(f330,axiom,
! [X13,X11] :
( ( ~ hBOOL(hAPP_H78829294e_bool(X13,X11))
=> bot_bo620288102e_bool = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X11)),X13)) )
& ( hBOOL(hAPP_H78829294e_bool(X13,X11))
=> insert1415133716_state(X11,bot_bo620288102e_bool) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X11)),X13)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_276_Collect__conv__if2) ).
fof(f1491,plain,
! [X0,X1] :
( bot_bo620288102e_bool = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X1)),X0))
| hBOOL(hAPP_H78829294e_bool(X0,X1)) ),
inference(cnf_transformation,[],[f819]) ).
fof(f1488,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_pname_bool(X0,X1))
| collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X1)),X0)) = insert_pname(X1,bot_bo844097828e_bool) ),
inference(cnf_transformation,[],[f818]) ).
fof(f818,plain,
! [X0,X1] :
( ( bot_bo844097828e_bool = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X1)),X0))
| hBOOL(hAPP_pname_bool(X0,X1)) )
& ( collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X1)),X0)) = insert_pname(X1,bot_bo844097828e_bool)
| ~ hBOOL(hAPP_pname_bool(X0,X1)) ) ),
inference(ennf_transformation,[],[f524]) ).
fof(f524,plain,
! [X0,X1] :
( ( ~ hBOOL(hAPP_pname_bool(X0,X1))
=> bot_bo844097828e_bool = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X1)),X0)) )
& ( hBOOL(hAPP_pname_bool(X0,X1))
=> collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X1)),X0)) = insert_pname(X1,bot_bo844097828e_bool) ) ),
inference(rectify,[],[f329]) ).
fof(f329,axiom,
! [X13,X11] :
( ( ~ hBOOL(hAPP_pname_bool(X13,X11))
=> bot_bo844097828e_bool = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X11)),X13)) )
& ( hBOOL(hAPP_pname_bool(X13,X11))
=> insert_pname(X11,bot_bo844097828e_bool) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X11)),X13)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_275_Collect__conv__if2) ).
fof(f1489,plain,
! [X0,X1] :
( hBOOL(hAPP_pname_bool(X0,X1))
| bot_bo844097828e_bool = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X1)),X0)) ),
inference(cnf_transformation,[],[f818]) ).
fof(f1904,plain,
! [X0] : bot_bo844097828e_bool = image_54689091_pname(cOMBK_168215364_state(X0),bot_bo620288102e_bool),
inference(equality_resolution,[],[f1486]) ).
fof(f1486,plain,
! [X0,X1] :
( bot_bo844097828e_bool = image_54689091_pname(cOMBK_168215364_state(X0),X1)
| bot_bo620288102e_bool != X1 ),
inference(cnf_transformation,[],[f817]) ).
fof(f817,plain,
! [X0,X1] :
( ( insert_pname(X0,bot_bo844097828e_bool) = image_54689091_pname(cOMBK_168215364_state(X0),X1)
| bot_bo620288102e_bool = X1 )
& ( bot_bo844097828e_bool = image_54689091_pname(cOMBK_168215364_state(X0),X1)
| bot_bo620288102e_bool != X1 ) ),
inference(ennf_transformation,[],[f523]) ).
fof(f523,plain,
! [X0,X1] :
( ( bot_bo620288102e_bool != X1
=> insert_pname(X0,bot_bo844097828e_bool) = image_54689091_pname(cOMBK_168215364_state(X0),X1) )
& ( bot_bo620288102e_bool = X1
=> bot_bo844097828e_bool = image_54689091_pname(cOMBK_168215364_state(X0),X1) ) ),
inference(rectify,[],[f110]) ).
fof(f110,axiom,
! [X14,X8] :
( ( bot_bo620288102e_bool != X8
=> image_54689091_pname(cOMBK_168215364_state(X14),X8) = insert_pname(X14,bot_bo844097828e_bool) )
& ( bot_bo620288102e_bool = X8
=> bot_bo844097828e_bool = image_54689091_pname(cOMBK_168215364_state(X14),X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_image__constant__conv) ).
fof(f1487,plain,
! [X0,X1] :
( insert_pname(X0,bot_bo844097828e_bool) = image_54689091_pname(cOMBK_168215364_state(X0),X1)
| bot_bo620288102e_bool = X1 ),
inference(cnf_transformation,[],[f817]) ).
fof(f1903,plain,
! [X0] : bot_bo1649642514l_bool = image_2131964411e_bool(cOMBK_2035509764_state(X0),bot_bo620288102e_bool),
inference(equality_resolution,[],[f1484]) ).
fof(f1484,plain,
! [X0,X1] :
( bot_bo1649642514l_bool = image_2131964411e_bool(cOMBK_2035509764_state(X0),X1)
| bot_bo620288102e_bool != X1 ),
inference(cnf_transformation,[],[f816]) ).
fof(f816,plain,
! [X0,X1] :
( ( insert1325755072e_bool(X0,bot_bo1649642514l_bool) = image_2131964411e_bool(cOMBK_2035509764_state(X0),X1)
| bot_bo620288102e_bool = X1 )
& ( bot_bo1649642514l_bool = image_2131964411e_bool(cOMBK_2035509764_state(X0),X1)
| bot_bo620288102e_bool != X1 ) ),
inference(ennf_transformation,[],[f522]) ).
fof(f522,plain,
! [X0,X1] :
( ( bot_bo620288102e_bool != X1
=> insert1325755072e_bool(X0,bot_bo1649642514l_bool) = image_2131964411e_bool(cOMBK_2035509764_state(X0),X1) )
& ( bot_bo620288102e_bool = X1
=> bot_bo1649642514l_bool = image_2131964411e_bool(cOMBK_2035509764_state(X0),X1) ) ),
inference(rectify,[],[f111]) ).
fof(f111,axiom,
! [X14,X8] :
( ( bot_bo620288102e_bool != X8
=> image_2131964411e_bool(cOMBK_2035509764_state(X14),X8) = insert1325755072e_bool(X14,bot_bo1649642514l_bool) )
& ( bot_bo620288102e_bool = X8
=> bot_bo1649642514l_bool = image_2131964411e_bool(cOMBK_2035509764_state(X14),X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_image__constant__conv) ).
fof(f1485,plain,
! [X0,X1] :
( insert1325755072e_bool(X0,bot_bo1649642514l_bool) = image_2131964411e_bool(cOMBK_2035509764_state(X0),X1)
| bot_bo620288102e_bool = X1 ),
inference(cnf_transformation,[],[f816]) ).
fof(f1902,plain,
! [X0] : bot_bo535777328l_bool = image_1828608335e_bool(cOMBK_1039769424_state(X0),bot_bo620288102e_bool),
inference(equality_resolution,[],[f1482]) ).
fof(f1482,plain,
! [X0,X1] :
( bot_bo535777328l_bool = image_1828608335e_bool(cOMBK_1039769424_state(X0),X1)
| bot_bo620288102e_bool != X1 ),
inference(cnf_transformation,[],[f815]) ).
fof(f815,plain,
! [X0,X1] :
( ( insert1556680138e_bool(X0,bot_bo535777328l_bool) = image_1828608335e_bool(cOMBK_1039769424_state(X0),X1)
| bot_bo620288102e_bool = X1 )
& ( bot_bo535777328l_bool = image_1828608335e_bool(cOMBK_1039769424_state(X0),X1)
| bot_bo620288102e_bool != X1 ) ),
inference(ennf_transformation,[],[f521]) ).
fof(f521,plain,
! [X0,X1] :
( ( bot_bo620288102e_bool != X1
=> insert1556680138e_bool(X0,bot_bo535777328l_bool) = image_1828608335e_bool(cOMBK_1039769424_state(X0),X1) )
& ( bot_bo620288102e_bool = X1
=> bot_bo535777328l_bool = image_1828608335e_bool(cOMBK_1039769424_state(X0),X1) ) ),
inference(rectify,[],[f112]) ).
fof(f112,axiom,
! [X14,X8] :
( ( bot_bo620288102e_bool != X8
=> image_1828608335e_bool(cOMBK_1039769424_state(X14),X8) = insert1556680138e_bool(X14,bot_bo535777328l_bool) )
& ( bot_bo620288102e_bool = X8
=> bot_bo535777328l_bool = image_1828608335e_bool(cOMBK_1039769424_state(X14),X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_58_image__constant__conv) ).
fof(f1483,plain,
! [X0,X1] :
( insert1556680138e_bool(X0,bot_bo535777328l_bool) = image_1828608335e_bool(cOMBK_1039769424_state(X0),X1)
| bot_bo620288102e_bool = X1 ),
inference(cnf_transformation,[],[f815]) ).
fof(f1901,plain,
! [X0] : bot_bo620288102e_bool = image_18964633_state(cOMBK_701929478e_bool(X0),bot_bo535777328l_bool),
inference(equality_resolution,[],[f1480]) ).
fof(f1480,plain,
! [X0,X1] :
( bot_bo620288102e_bool = image_18964633_state(cOMBK_701929478e_bool(X0),X1)
| bot_bo535777328l_bool != X1 ),
inference(cnf_transformation,[],[f814]) ).
fof(f814,plain,
! [X0,X1] :
( ( insert1415133716_state(X0,bot_bo620288102e_bool) = image_18964633_state(cOMBK_701929478e_bool(X0),X1)
| bot_bo535777328l_bool = X1 )
& ( bot_bo620288102e_bool = image_18964633_state(cOMBK_701929478e_bool(X0),X1)
| bot_bo535777328l_bool != X1 ) ),
inference(ennf_transformation,[],[f520]) ).
fof(f520,plain,
! [X0,X1] :
( ( bot_bo535777328l_bool != X1
=> insert1415133716_state(X0,bot_bo620288102e_bool) = image_18964633_state(cOMBK_701929478e_bool(X0),X1) )
& ( bot_bo535777328l_bool = X1
=> bot_bo620288102e_bool = image_18964633_state(cOMBK_701929478e_bool(X0),X1) ) ),
inference(rectify,[],[f117]) ).
fof(f117,axiom,
! [X14,X8] :
( ( bot_bo535777328l_bool != X8
=> insert1415133716_state(X14,bot_bo620288102e_bool) = image_18964633_state(cOMBK_701929478e_bool(X14),X8) )
& ( bot_bo535777328l_bool = X8
=> bot_bo620288102e_bool = image_18964633_state(cOMBK_701929478e_bool(X14),X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_63_image__constant__conv) ).
fof(f1481,plain,
! [X0,X1] :
( insert1415133716_state(X0,bot_bo620288102e_bool) = image_18964633_state(cOMBK_701929478e_bool(X0),X1)
| bot_bo535777328l_bool = X1 ),
inference(cnf_transformation,[],[f814]) ).
fof(f1900,plain,
! [X0] : bot_bo844097828e_bool = image_187965177_pname(cOMBK_1589414042e_bool(X0),bot_bo535777328l_bool),
inference(equality_resolution,[],[f1478]) ).
fof(f1478,plain,
! [X0,X1] :
( bot_bo844097828e_bool = image_187965177_pname(cOMBK_1589414042e_bool(X0),X1)
| bot_bo535777328l_bool != X1 ),
inference(cnf_transformation,[],[f813]) ).
fof(f813,plain,
! [X0,X1] :
( ( insert_pname(X0,bot_bo844097828e_bool) = image_187965177_pname(cOMBK_1589414042e_bool(X0),X1)
| bot_bo535777328l_bool = X1 )
& ( bot_bo844097828e_bool = image_187965177_pname(cOMBK_1589414042e_bool(X0),X1)
| bot_bo535777328l_bool != X1 ) ),
inference(ennf_transformation,[],[f519]) ).
fof(f519,plain,
! [X0,X1] :
( ( bot_bo535777328l_bool != X1
=> insert_pname(X0,bot_bo844097828e_bool) = image_187965177_pname(cOMBK_1589414042e_bool(X0),X1) )
& ( bot_bo535777328l_bool = X1
=> bot_bo844097828e_bool = image_187965177_pname(cOMBK_1589414042e_bool(X0),X1) ) ),
inference(rectify,[],[f119]) ).
fof(f119,axiom,
! [X14,X8] :
( ( bot_bo535777328l_bool != X8
=> insert_pname(X14,bot_bo844097828e_bool) = image_187965177_pname(cOMBK_1589414042e_bool(X14),X8) )
& ( bot_bo535777328l_bool = X8
=> bot_bo844097828e_bool = image_187965177_pname(cOMBK_1589414042e_bool(X14),X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_image__constant__conv) ).
fof(f1479,plain,
! [X0,X1] :
( insert_pname(X0,bot_bo844097828e_bool) = image_187965177_pname(cOMBK_1589414042e_bool(X0),X1)
| bot_bo535777328l_bool = X1 ),
inference(cnf_transformation,[],[f813]) ).
fof(f1477,plain,
! [X0,X1] : insert1415133716_state(X0,collec307967673_state(X1)) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X0))),X1)),
inference(cnf_transformation,[],[f518]) ).
fof(f518,plain,
! [X0,X1] : insert1415133716_state(X0,collec307967673_state(X1)) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X0))),X1)),
inference(rectify,[],[f237]) ).
fof(f237,axiom,
! [X11,X13] : insert1415133716_state(X11,collec307967673_state(X13)) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X11))),X13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_183_insert__Collect) ).
fof(f1476,plain,
! [X0,X1] : insert_pname(X0,collect_pname(X1)) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X0))),X1)),
inference(cnf_transformation,[],[f517]) ).
fof(f517,plain,
! [X0,X1] : insert_pname(X0,collect_pname(X1)) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X0))),X1)),
inference(rectify,[],[f236]) ).
fof(f236,axiom,
! [X11,X13] : insert_pname(X11,collect_pname(X13)) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X11))),X13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_182_insert__Collect) ).
fof(f1475,plain,
! [X0,X1] : insert1325755072e_bool(X0,collec1974731493e_bool(X1)) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X0))),X1)),
inference(cnf_transformation,[],[f516]) ).
fof(f516,plain,
! [X0,X1] : insert1325755072e_bool(X0,collec1974731493e_bool(X1)) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X0))),X1)),
inference(rectify,[],[f238]) ).
fof(f238,axiom,
! [X11,X13] : insert1325755072e_bool(X11,collec1974731493e_bool(X13)) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X11))),X13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_184_insert__Collect) ).
fof(f1474,plain,
! [X0,X1] : insert1556680138e_bool(X0,collec1823980261e_bool(X1)) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fimplies,cOMBB_1522210668e_bool(fNot,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X0))),X1)),
inference(cnf_transformation,[],[f515]) ).
fof(f515,plain,
! [X0,X1] : insert1556680138e_bool(X0,collec1823980261e_bool(X1)) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fimplies,cOMBB_1522210668e_bool(fNot,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X0))),X1)),
inference(rectify,[],[f239]) ).
fof(f239,axiom,
! [X11,X13] : insert1556680138e_bool(X11,collec1823980261e_bool(X13)) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fimplies,cOMBB_1522210668e_bool(fNot,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X11))),X13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_185_insert__Collect) ).
fof(f1473,plain,
! [X0,X1] : insert1415133716_state(X0,X1) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X0)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X1))),
inference(cnf_transformation,[],[f514]) ).
fof(f514,plain,
! [X0,X1] : insert1415133716_state(X0,X1) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X0)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X1))),
inference(rectify,[],[f272]) ).
fof(f272,axiom,
! [X20,X23] : insert1415133716_state(X20,X23) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X20)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X23))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_218_insert__compr__raw) ).
fof(f1472,plain,
! [X0,X1] : insert1415133716_state(X0,X1) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X0)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X1))),
inference(cnf_transformation,[],[f513]) ).
fof(f513,plain,
! [X0,X1] : insert1415133716_state(X0,X1) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X0)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X1))),
inference(rectify,[],[f241]) ).
fof(f241,axiom,
! [X11,X18] : insert1415133716_state(X11,X18) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X11)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X18))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_187_insert__compr) ).
fof(f1471,plain,
! [X0,X1] : insert_pname(X0,X1) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X0)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1))),
inference(cnf_transformation,[],[f512]) ).
fof(f512,plain,
! [X0,X1] : insert_pname(X0,X1) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X0)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1))),
inference(rectify,[],[f240]) ).
fof(f240,axiom,
! [X11,X18] : insert_pname(X11,X18) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X11)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X18))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_186_insert__compr) ).
fof(f1470,plain,
! [X0,X1] : insert_pname(X0,X1) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X0)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1))),
inference(cnf_transformation,[],[f511]) ).
fof(f511,plain,
! [X0,X1] : insert_pname(X0,X1) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X0)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1))),
inference(rectify,[],[f271]) ).
fof(f271,axiom,
! [X20,X23] : insert_pname(X20,X23) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X20)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X23))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_217_insert__compr__raw) ).
fof(f1469,plain,
! [X0,X1] : insert1325755072e_bool(X0,X1) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X0)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X1))),
inference(cnf_transformation,[],[f510]) ).
fof(f510,plain,
! [X0,X1] : insert1325755072e_bool(X0,X1) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X0)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X1))),
inference(rectify,[],[f242]) ).
fof(f242,axiom,
! [X11,X18] : insert1325755072e_bool(X11,X18) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X11)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X18))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_188_insert__compr) ).
fof(f1468,plain,
! [X0,X1] : insert1325755072e_bool(X0,X1) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X0)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X1))),
inference(cnf_transformation,[],[f509]) ).
fof(f509,plain,
! [X0,X1] : insert1325755072e_bool(X0,X1) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X0)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X1))),
inference(rectify,[],[f273]) ).
fof(f273,axiom,
! [X20,X23] : insert1325755072e_bool(X20,X23) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X20)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X23))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_219_insert__compr__raw) ).
fof(f1467,plain,
! [X0,X1] : insert1556680138e_bool(X0,X1) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X0)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X1))),
inference(cnf_transformation,[],[f508]) ).
fof(f508,plain,
! [X0,X1] : insert1556680138e_bool(X0,X1) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X0)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X1))),
inference(rectify,[],[f243]) ).
fof(f243,axiom,
! [X11,X18] : insert1556680138e_bool(X11,X18) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X11)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X18))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_189_insert__compr) ).
fof(f1466,plain,
! [X0,X1] : insert1556680138e_bool(X0,X1) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X0)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X1))),
inference(cnf_transformation,[],[f507]) ).
fof(f507,plain,
! [X0,X1] : insert1556680138e_bool(X0,X1) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X0)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X1))),
inference(rectify,[],[f274]) ).
fof(f274,axiom,
! [X20,X23] : insert1556680138e_bool(X20,X23) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X20)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X23))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_220_insert__compr__raw) ).
fof(f1465,plain,
! [X0,X1] : insert1415133716_state(X0,X1) = insert1415133716_state(X0,insert1415133716_state(X0,X1)),
inference(cnf_transformation,[],[f506]) ).
fof(f506,plain,
! [X0,X1] : insert1415133716_state(X0,X1) = insert1415133716_state(X0,insert1415133716_state(X0,X1)),
inference(rectify,[],[f235]) ).
fof(f235,axiom,
! [X15,X8] : insert1415133716_state(X15,X8) = insert1415133716_state(X15,insert1415133716_state(X15,X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_181_insert__absorb2) ).
fof(f1464,plain,
! [X0,X1] : insert_pname(X0,X1) = insert_pname(X0,insert_pname(X0,X1)),
inference(cnf_transformation,[],[f505]) ).
fof(f505,plain,
! [X0,X1] : insert_pname(X0,X1) = insert_pname(X0,insert_pname(X0,X1)),
inference(rectify,[],[f234]) ).
fof(f234,axiom,
! [X15,X8] : insert_pname(X15,X8) = insert_pname(X15,insert_pname(X15,X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_180_insert__absorb2) ).
fof(f1463,plain,
! [X0,X1] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X0),insert1415133716_state(X1,X0))),
inference(cnf_transformation,[],[f504]) ).
fof(f504,plain,
! [X0,X1] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X0),insert1415133716_state(X1,X0))),
inference(rectify,[],[f319]) ).
fof(f319,axiom,
! [X18,X11] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X18),insert1415133716_state(X11,X18))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_265_subset__insertI) ).
fof(f1462,plain,
! [X0,X1] : hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X0),insert1415133716_state(X0,X1))),
inference(cnf_transformation,[],[f503]) ).
fof(f503,plain,
! [X0,X1] : hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X0),insert1415133716_state(X0,X1))),
inference(rectify,[],[f245]) ).
fof(f245,axiom,
! [X11,X18] : hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X11),insert1415133716_state(X11,X18))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_191_insertI1) ).
fof(f1461,plain,
! [X0,X1] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X0),insert_pname(X1,X0))),
inference(cnf_transformation,[],[f502]) ).
fof(f502,plain,
! [X0,X1] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X0),insert_pname(X1,X0))),
inference(rectify,[],[f318]) ).
fof(f318,axiom,
! [X18,X11] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),insert_pname(X11,X18))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_264_subset__insertI) ).
fof(f1460,plain,
! [X0,X1] : hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),insert_pname(X0,X1))),
inference(cnf_transformation,[],[f501]) ).
fof(f501,plain,
! [X0,X1] : hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),insert_pname(X0,X1))),
inference(rectify,[],[f244]) ).
fof(f244,axiom,
! [X11,X18] : hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X11),insert_pname(X11,X18))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_190_insertI1) ).
fof(f1459,plain,
! [X0,X1] : hAPP_H1049623551e_bool(cOMBK_1039769424_state(X0),X1) = X0,
inference(cnf_transformation,[],[f500]) ).
fof(f500,plain,
! [X0,X1] : hAPP_H1049623551e_bool(cOMBK_1039769424_state(X0),X1) = X0,
inference(rectify,[],[f412]) ).
fof(f412,axiom,
! [X32,X37] : hAPP_H1049623551e_bool(cOMBK_1039769424_state(X32),X37) = X32,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I_013) ).
fof(f1458,plain,
! [X0,X1] : hAPP_p1422361149_state(cOMBK_367030522_pname(X0),X1) = X0,
inference(cnf_transformation,[],[f499]) ).
fof(f499,plain,
! [X0,X1] : hAPP_p1422361149_state(cOMBK_367030522_pname(X0),X1) = X0,
inference(rectify,[],[f388]) ).
fof(f388,axiom,
! [X32,X37] : hAPP_p1422361149_state(cOMBK_367030522_pname(X32),X37) = X32,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__) ).
fof(f1457,plain,
! [X0,X1] : hAPP_f888949707_state(cOMBK_1503445380e_bool(X0),X1) = X0,
inference(cnf_transformation,[],[f498]) ).
fof(f498,plain,
! [X0,X1] : hAPP_f888949707_state(cOMBK_1503445380e_bool(X0),X1) = X0,
inference(rectify,[],[f399]) ).
fof(f399,axiom,
! [X32,X37] : hAPP_f888949707_state(cOMBK_1503445380e_bool(X32),X37) = X32,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com___007) ).
fof(f1456,plain,
! [X0,X1] : hAPP_f1387463497_state(cOMBK_701929478e_bool(X0),X1) = X0,
inference(cnf_transformation,[],[f497]) ).
fof(f497,plain,
! [X0,X1] : hAPP_f1387463497_state(cOMBK_701929478e_bool(X0),X1) = X0,
inference(rectify,[],[f411]) ).
fof(f411,axiom,
! [X32,X37] : hAPP_f1387463497_state(cOMBK_701929478e_bool(X32),X37) = X32,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com___012) ).
fof(f1455,plain,
! [X0,X1] : hAPP_p442853985e_bool(cOMBK_1706929794_pname(X0),X1) = X0,
inference(cnf_transformation,[],[f496]) ).
fof(f496,plain,
! [X0,X1] : hAPP_p442853985e_bool(cOMBK_1706929794_pname(X0),X1) = X0,
inference(rectify,[],[f401]) ).
fof(f401,axiom,
! [X32,X37] : hAPP_p442853985e_bool(cOMBK_1706929794_pname(X32),X37) = X32,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I) ).
fof(f1454,plain,
! [X0,X1] : bot_bo620288102e_bool != insert1415133716_state(X0,X1),
inference(cnf_transformation,[],[f495]) ).
fof(f495,plain,
! [X0,X1] : bot_bo620288102e_bool != insert1415133716_state(X0,X1),
inference(rectify,[],[f284]) ).
fof(f284,axiom,
! [X11,X8] : bot_bo620288102e_bool != insert1415133716_state(X11,X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_230_insert__not__empty) ).
fof(f1453,plain,
! [X0,X1] : bot_bo620288102e_bool != insert1415133716_state(X0,X1),
inference(cnf_transformation,[],[f494]) ).
fof(f494,plain,
! [X0,X1] : bot_bo620288102e_bool != insert1415133716_state(X0,X1),
inference(rectify,[],[f286]) ).
fof(f286,axiom,
! [X11,X8] : bot_bo620288102e_bool != insert1415133716_state(X11,X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_232_empty__not__insert) ).
fof(f1452,plain,
! [X0,X1] : bot_bo844097828e_bool != insert_pname(X0,X1),
inference(cnf_transformation,[],[f493]) ).
fof(f493,plain,
! [X0,X1] : bot_bo844097828e_bool != insert_pname(X0,X1),
inference(rectify,[],[f285]) ).
fof(f285,axiom,
! [X11,X8] : bot_bo844097828e_bool != insert_pname(X11,X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_231_empty__not__insert) ).
fof(f1451,plain,
! [X0,X1] : bot_bo844097828e_bool != insert_pname(X0,X1),
inference(cnf_transformation,[],[f492]) ).
fof(f492,plain,
! [X0,X1] : bot_bo844097828e_bool != insert_pname(X0,X1),
inference(rectify,[],[f283]) ).
fof(f283,axiom,
! [X11,X8] : bot_bo844097828e_bool != insert_pname(X11,X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_229_insert__not__empty) ).
fof(f1450,plain,
! [X0,X1] : is_fun_pname_bool(image_54689091_pname(X0,X1)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] : is_fun_pname_bool(image_54689091_pname(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_Oimage_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Osta) ).
fof(f1449,plain,
! [X0,X1] : is_fun_pname_bool(image_187965177_pname(X0,X1)),
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1] : is_fun_pname_bool(image_187965177_pname(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_Oimage_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__) ).
fof(f1448,plain,
! [X0,X1] : is_fun_pname_bool(image_1619336331_pname(X0,X1)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1] : is_fun_pname_bool(image_1619336331_pname(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otri) ).
fof(f1447,plain,
! [X0,X1] : is_fun_pname_bool(hAPP_H356885323e_bool(X0,X1)),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] : is_fun_pname_bool(hAPP_H356885323e_bool(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Ostate_J_0_003) ).
fof(f1446,plain,
! [X0,X1] : is_fun_pname_bool(image_1705983821_pname(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] : is_fun_pname_bool(image_1705983821_pname(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL) ).
fof(f1445,plain,
! [X0,X1] : is_bool(hAPP_f166538662l_bool(X0,X1)),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0,X1] : is_bool(hAPP_f166538662l_bool(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_It) ).
fof(f1444,plain,
! [X0,X1] : is_bool(hAPP_f389811538l_bool(X0,X1)),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0,X1] : is_bool(hAPP_f389811538l_bool(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__) ).
fof(f1443,plain,
! [X0,X1] : is_bool(hAPP_f468958928l_bool(X0,X1)),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0,X1] : is_bool(hAPP_f468958928l_bool(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__O) ).
fof(f1442,plain,
! [X0,X1] : is_bool(hAPP_H78829294e_bool(X0,X1)),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1] : is_bool(hAPP_H78829294e_bool(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Ostate_J_0_002) ).
fof(f1441,plain,
! [X0,X1] : is_bool(hAPP_f1022807134l_bool(X0,X1)),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0,X1] : is_bool(hAPP_f1022807134l_bool(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfeh) ).
fof(f1440,plain,
! [X0,X1] : is_bool(hAPP_f595608956l_bool(X0,X1)),
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0,X1] : is_bool(hAPP_f595608956l_bool(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Oboo) ).
fof(f1439,plain,
! [X0,X1] : is_fun1661590463l_bool(image_2131964411e_bool(X0,X1)),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] : is_fun1661590463l_bool(image_2131964411e_bool(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_Oimage_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Osta_001) ).
fof(f1438,plain,
! [X0,X1] : is_pname(hAPP_H1621176307_pname(X0,X1)),
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] : is_pname(hAPP_H1621176307_pname(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Ostate_J_0) ).
fof(f1437,plain,
! [X0,X1] : is_pname(hAPP_f560369737_pname(X0,X1)),
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0,X1] : is_pname(hAPP_f560369737_pname(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__O) ).
fof(f1899,plain,
! [X2] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X2),bot_bo620288102e_bool)),
inference(equality_resolution,[],[f1435]) ).
fof(f1435,plain,
! [X2,X0] :
( bot_bo620288102e_bool != X0
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X2),X0)) ),
inference(cnf_transformation,[],[f1221]) ).
fof(f1221,plain,
! [X0] :
( ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sK27(X0)),X0))
| bot_bo620288102e_bool = X0 )
& ( bot_bo620288102e_bool != X0
| ! [X2] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X2),X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f1219,f1220]) ).
fof(f1220,plain,
! [X0] :
( ? [X1] : hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X0))
=> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sK27(X0)),X0)) ),
introduced(choice_axiom,[]) ).
fof(f1219,plain,
! [X0] :
( ( ? [X1] : hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X0))
| bot_bo620288102e_bool = X0 )
& ( bot_bo620288102e_bool != X0
| ! [X2] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X2),X0)) ) ),
inference(rectify,[],[f1218]) ).
fof(f1218,plain,
! [X0] :
( ( ? [X1] : hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X0))
| bot_bo620288102e_bool = X0 )
& ( bot_bo620288102e_bool != X0
| ! [X1] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X0)) ) ),
inference(nnf_transformation,[],[f491]) ).
fof(f491,plain,
! [X0] :
( ? [X1] : hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X0))
<=> bot_bo620288102e_bool != X0 ),
inference(rectify,[],[f211]) ).
fof(f211,axiom,
! [X8] :
( ? [X20] : hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),X8))
<=> bot_bo620288102e_bool != X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_157_ex__in__conv) ).
fof(f1436,plain,
! [X0] :
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sK27(X0)),X0))
| bot_bo620288102e_bool = X0 ),
inference(cnf_transformation,[],[f1221]) ).
fof(f1898,plain,
! [X2] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X2),bot_bo535777328l_bool)),
inference(equality_resolution,[],[f1433]) ).
fof(f1433,plain,
! [X2,X0] :
( bot_bo535777328l_bool != X0
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X2),X0)) ),
inference(cnf_transformation,[],[f1217]) ).
fof(f1217,plain,
! [X0] :
( ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,sK26(X0)),X0))
| bot_bo535777328l_bool = X0 )
& ( bot_bo535777328l_bool != X0
| ! [X2] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X2),X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f1215,f1216]) ).
fof(f1216,plain,
! [X0] :
( ? [X1] : hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X0))
=> hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,sK26(X0)),X0)) ),
introduced(choice_axiom,[]) ).
fof(f1215,plain,
! [X0] :
( ( ? [X1] : hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X0))
| bot_bo535777328l_bool = X0 )
& ( bot_bo535777328l_bool != X0
| ! [X2] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X2),X0)) ) ),
inference(rectify,[],[f1214]) ).
fof(f1214,plain,
! [X0] :
( ( ? [X1] : hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X0))
| bot_bo535777328l_bool = X0 )
& ( bot_bo535777328l_bool != X0
| ! [X1] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X0)) ) ),
inference(nnf_transformation,[],[f490]) ).
fof(f490,plain,
! [X0] :
( ? [X1] : hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X0))
<=> bot_bo535777328l_bool != X0 ),
inference(rectify,[],[f210]) ).
fof(f210,axiom,
! [X8] :
( ? [X20] : hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X20),X8))
<=> bot_bo535777328l_bool != X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_156_ex__in__conv) ).
fof(f1434,plain,
! [X0] :
( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,sK26(X0)),X0))
| bot_bo535777328l_bool = X0 ),
inference(cnf_transformation,[],[f1217]) ).
fof(f1431,plain,
! [X0] :
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sK25(X0)),X0))
| bot_bo620288102e_bool = X0 ),
inference(cnf_transformation,[],[f1213]) ).
fof(f1213,plain,
! [X0] :
( ( ! [X1] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X0))
| bot_bo620288102e_bool != X0 )
& ( bot_bo620288102e_bool = X0
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sK25(X0)),X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f1211,f1212]) ).
fof(f1212,plain,
! [X0] :
( ? [X2] : hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X2),X0))
=> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sK25(X0)),X0)) ),
introduced(choice_axiom,[]) ).
fof(f1211,plain,
! [X0] :
( ( ! [X1] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X0))
| bot_bo620288102e_bool != X0 )
& ( bot_bo620288102e_bool = X0
| ? [X2] : hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X2),X0)) ) ),
inference(rectify,[],[f1210]) ).
fof(f1210,plain,
! [X0] :
( ( ! [X1] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X0))
| bot_bo620288102e_bool != X0 )
& ( bot_bo620288102e_bool = X0
| ? [X1] : hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X0)) ) ),
inference(nnf_transformation,[],[f489]) ).
fof(f489,plain,
! [X0] :
( ! [X1] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X0))
<=> bot_bo620288102e_bool = X0 ),
inference(rectify,[],[f215]) ).
fof(f215,axiom,
! [X8] :
( ! [X20] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),X8))
<=> bot_bo620288102e_bool = X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_161_all__not__in__conv) ).
fof(f1897,plain,
! [X1] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),bot_bo620288102e_bool)),
inference(equality_resolution,[],[f1432]) ).
fof(f1432,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X0))
| bot_bo620288102e_bool != X0 ),
inference(cnf_transformation,[],[f1213]) ).
fof(f1429,plain,
! [X0] :
( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,sK24(X0)),X0))
| bot_bo535777328l_bool = X0 ),
inference(cnf_transformation,[],[f1209]) ).
fof(f1209,plain,
! [X0] :
( ( ! [X1] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X0))
| bot_bo535777328l_bool != X0 )
& ( bot_bo535777328l_bool = X0
| hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,sK24(X0)),X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f1207,f1208]) ).
fof(f1208,plain,
! [X0] :
( ? [X2] : hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X2),X0))
=> hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,sK24(X0)),X0)) ),
introduced(choice_axiom,[]) ).
fof(f1207,plain,
! [X0] :
( ( ! [X1] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X0))
| bot_bo535777328l_bool != X0 )
& ( bot_bo535777328l_bool = X0
| ? [X2] : hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X2),X0)) ) ),
inference(rectify,[],[f1206]) ).
fof(f1206,plain,
! [X0] :
( ( ! [X1] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X0))
| bot_bo535777328l_bool != X0 )
& ( bot_bo535777328l_bool = X0
| ? [X1] : hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X0)) ) ),
inference(nnf_transformation,[],[f488]) ).
fof(f488,plain,
! [X0] :
( ! [X1] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X0))
<=> bot_bo535777328l_bool = X0 ),
inference(rectify,[],[f214]) ).
fof(f214,axiom,
! [X8] :
( ! [X20] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X20),X8))
<=> bot_bo535777328l_bool = X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_160_all__not__in__conv) ).
fof(f1896,plain,
! [X1] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),bot_bo535777328l_bool)),
inference(equality_resolution,[],[f1430]) ).
fof(f1430,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X0))
| bot_bo535777328l_bool != X0 ),
inference(cnf_transformation,[],[f1209]) ).
fof(f1427,plain,
! [X0] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X0),bot_bo620288102e_bool))
| bot_bo620288102e_bool = X0 ),
inference(cnf_transformation,[],[f1205]) ).
fof(f1205,plain,
! [X0] :
( ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X0),bot_bo620288102e_bool))
| bot_bo620288102e_bool != X0 )
& ( bot_bo620288102e_bool = X0
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X0),bot_bo620288102e_bool)) ) ),
inference(nnf_transformation,[],[f487]) ).
fof(f487,plain,
! [X0] :
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X0),bot_bo620288102e_bool))
<=> bot_bo620288102e_bool = X0 ),
inference(rectify,[],[f292]) ).
fof(f292,axiom,
! [X8] :
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X8),bot_bo620288102e_bool))
<=> bot_bo620288102e_bool = X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_238_subset__empty) ).
fof(f1895,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,bot_bo620288102e_bool),bot_bo620288102e_bool)),
inference(equality_resolution,[],[f1428]) ).
fof(f1428,plain,
! [X0] :
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X0),bot_bo620288102e_bool))
| bot_bo620288102e_bool != X0 ),
inference(cnf_transformation,[],[f1205]) ).
fof(f1425,plain,
! [X2,X0] :
( ~ hBOOL(hAPP_H78829294e_bool(X0,X2))
| bot_bo620288102e_bool != collec307967673_state(X0) ),
inference(cnf_transformation,[],[f1204]) ).
fof(f1204,plain,
! [X0] :
( ( bot_bo620288102e_bool = collec307967673_state(X0)
| hBOOL(hAPP_H78829294e_bool(X0,sK23(X0))) )
& ( ! [X2] : ~ hBOOL(hAPP_H78829294e_bool(X0,X2))
| bot_bo620288102e_bool != collec307967673_state(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f1202,f1203]) ).
fof(f1203,plain,
! [X0] :
( ? [X1] : hBOOL(hAPP_H78829294e_bool(X0,X1))
=> hBOOL(hAPP_H78829294e_bool(X0,sK23(X0))) ),
introduced(choice_axiom,[]) ).
fof(f1202,plain,
! [X0] :
( ( bot_bo620288102e_bool = collec307967673_state(X0)
| ? [X1] : hBOOL(hAPP_H78829294e_bool(X0,X1)) )
& ( ! [X2] : ~ hBOOL(hAPP_H78829294e_bool(X0,X2))
| bot_bo620288102e_bool != collec307967673_state(X0) ) ),
inference(rectify,[],[f1201]) ).
fof(f1201,plain,
! [X0] :
( ( bot_bo620288102e_bool = collec307967673_state(X0)
| ? [X1] : hBOOL(hAPP_H78829294e_bool(X0,X1)) )
& ( ! [X1] : ~ hBOOL(hAPP_H78829294e_bool(X0,X1))
| bot_bo620288102e_bool != collec307967673_state(X0) ) ),
inference(nnf_transformation,[],[f486]) ).
fof(f486,plain,
! [X0] :
( bot_bo620288102e_bool = collec307967673_state(X0)
<=> ! [X1] : ~ hBOOL(hAPP_H78829294e_bool(X0,X1)) ),
inference(rectify,[],[f207]) ).
fof(f207,axiom,
! [X13] :
( bot_bo620288102e_bool = collec307967673_state(X13)
<=> ! [X20] : ~ hBOOL(hAPP_H78829294e_bool(X13,X20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_153_empty__Collect__eq) ).
fof(f1426,plain,
! [X0] :
( bot_bo620288102e_bool = collec307967673_state(X0)
| hBOOL(hAPP_H78829294e_bool(X0,sK23(X0))) ),
inference(cnf_transformation,[],[f1204]) ).
fof(f1423,plain,
! [X2,X0] :
( ~ hBOOL(hAPP_H78829294e_bool(X0,X2))
| bot_bo620288102e_bool != collec307967673_state(X0) ),
inference(cnf_transformation,[],[f1200]) ).
fof(f1200,plain,
! [X0] :
( ( bot_bo620288102e_bool = collec307967673_state(X0)
| hBOOL(hAPP_H78829294e_bool(X0,sK22(X0))) )
& ( ! [X2] : ~ hBOOL(hAPP_H78829294e_bool(X0,X2))
| bot_bo620288102e_bool != collec307967673_state(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f1198,f1199]) ).
fof(f1199,plain,
! [X0] :
( ? [X1] : hBOOL(hAPP_H78829294e_bool(X0,X1))
=> hBOOL(hAPP_H78829294e_bool(X0,sK22(X0))) ),
introduced(choice_axiom,[]) ).
fof(f1198,plain,
! [X0] :
( ( bot_bo620288102e_bool = collec307967673_state(X0)
| ? [X1] : hBOOL(hAPP_H78829294e_bool(X0,X1)) )
& ( ! [X2] : ~ hBOOL(hAPP_H78829294e_bool(X0,X2))
| bot_bo620288102e_bool != collec307967673_state(X0) ) ),
inference(rectify,[],[f1197]) ).
fof(f1197,plain,
! [X0] :
( ( bot_bo620288102e_bool = collec307967673_state(X0)
| ? [X1] : hBOOL(hAPP_H78829294e_bool(X0,X1)) )
& ( ! [X1] : ~ hBOOL(hAPP_H78829294e_bool(X0,X1))
| bot_bo620288102e_bool != collec307967673_state(X0) ) ),
inference(nnf_transformation,[],[f485]) ).
fof(f485,plain,
! [X0] :
( bot_bo620288102e_bool = collec307967673_state(X0)
<=> ! [X1] : ~ hBOOL(hAPP_H78829294e_bool(X0,X1)) ),
inference(rectify,[],[f197]) ).
fof(f197,axiom,
! [X13] :
( bot_bo620288102e_bool = collec307967673_state(X13)
<=> ! [X20] : ~ hBOOL(hAPP_H78829294e_bool(X13,X20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_143_Collect__empty__eq) ).
fof(f1424,plain,
! [X0] :
( bot_bo620288102e_bool = collec307967673_state(X0)
| hBOOL(hAPP_H78829294e_bool(X0,sK22(X0))) ),
inference(cnf_transformation,[],[f1200]) ).
fof(f1420,plain,
! [X2,X0] :
( ~ hBOOL(hAPP_pname_bool(X0,X2))
| ~ is_pname(X2)
| bot_bo844097828e_bool != collect_pname(X0) ),
inference(cnf_transformation,[],[f1196]) ).
fof(f1196,plain,
! [X0] :
( ( bot_bo844097828e_bool = collect_pname(X0)
| ( hBOOL(hAPP_pname_bool(X0,sK21(X0)))
& is_pname(sK21(X0)) ) )
& ( ! [X2] :
( ~ hBOOL(hAPP_pname_bool(X0,X2))
| ~ is_pname(X2) )
| bot_bo844097828e_bool != collect_pname(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f1194,f1195]) ).
fof(f1195,plain,
! [X0] :
( ? [X1] :
( hBOOL(hAPP_pname_bool(X0,X1))
& is_pname(X1) )
=> ( hBOOL(hAPP_pname_bool(X0,sK21(X0)))
& is_pname(sK21(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f1194,plain,
! [X0] :
( ( bot_bo844097828e_bool = collect_pname(X0)
| ? [X1] :
( hBOOL(hAPP_pname_bool(X0,X1))
& is_pname(X1) ) )
& ( ! [X2] :
( ~ hBOOL(hAPP_pname_bool(X0,X2))
| ~ is_pname(X2) )
| bot_bo844097828e_bool != collect_pname(X0) ) ),
inference(rectify,[],[f1193]) ).
fof(f1193,plain,
! [X0] :
( ( bot_bo844097828e_bool = collect_pname(X0)
| ? [X1] :
( hBOOL(hAPP_pname_bool(X0,X1))
& is_pname(X1) ) )
& ( ! [X1] :
( ~ hBOOL(hAPP_pname_bool(X0,X1))
| ~ is_pname(X1) )
| bot_bo844097828e_bool != collect_pname(X0) ) ),
inference(nnf_transformation,[],[f812]) ).
fof(f812,plain,
! [X0] :
( bot_bo844097828e_bool = collect_pname(X0)
<=> ! [X1] :
( ~ hBOOL(hAPP_pname_bool(X0,X1))
| ~ is_pname(X1) ) ),
inference(ennf_transformation,[],[f484]) ).
fof(f484,plain,
! [X0] :
( bot_bo844097828e_bool = collect_pname(X0)
<=> ! [X1] :
( is_pname(X1)
=> ~ hBOOL(hAPP_pname_bool(X0,X1)) ) ),
inference(rectify,[],[f198]) ).
fof(f198,axiom,
! [X13] :
( bot_bo844097828e_bool = collect_pname(X13)
<=> ! [X20] :
( is_pname(X20)
=> ~ hBOOL(hAPP_pname_bool(X13,X20)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_144_Collect__empty__eq) ).
fof(f1421,plain,
! [X0] :
( is_pname(sK21(X0))
| bot_bo844097828e_bool = collect_pname(X0) ),
inference(cnf_transformation,[],[f1196]) ).
fof(f1422,plain,
! [X0] :
( hBOOL(hAPP_pname_bool(X0,sK21(X0)))
| bot_bo844097828e_bool = collect_pname(X0) ),
inference(cnf_transformation,[],[f1196]) ).
fof(f1417,plain,
! [X2,X0] :
( ~ hBOOL(hAPP_pname_bool(X0,X2))
| ~ is_pname(X2)
| bot_bo844097828e_bool != collect_pname(X0) ),
inference(cnf_transformation,[],[f1192]) ).
fof(f1192,plain,
! [X0] :
( ( bot_bo844097828e_bool = collect_pname(X0)
| ( hBOOL(hAPP_pname_bool(X0,sK20(X0)))
& is_pname(sK20(X0)) ) )
& ( ! [X2] :
( ~ hBOOL(hAPP_pname_bool(X0,X2))
| ~ is_pname(X2) )
| bot_bo844097828e_bool != collect_pname(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f1190,f1191]) ).
fof(f1191,plain,
! [X0] :
( ? [X1] :
( hBOOL(hAPP_pname_bool(X0,X1))
& is_pname(X1) )
=> ( hBOOL(hAPP_pname_bool(X0,sK20(X0)))
& is_pname(sK20(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f1190,plain,
! [X0] :
( ( bot_bo844097828e_bool = collect_pname(X0)
| ? [X1] :
( hBOOL(hAPP_pname_bool(X0,X1))
& is_pname(X1) ) )
& ( ! [X2] :
( ~ hBOOL(hAPP_pname_bool(X0,X2))
| ~ is_pname(X2) )
| bot_bo844097828e_bool != collect_pname(X0) ) ),
inference(rectify,[],[f1189]) ).
fof(f1189,plain,
! [X0] :
( ( bot_bo844097828e_bool = collect_pname(X0)
| ? [X1] :
( hBOOL(hAPP_pname_bool(X0,X1))
& is_pname(X1) ) )
& ( ! [X1] :
( ~ hBOOL(hAPP_pname_bool(X0,X1))
| ~ is_pname(X1) )
| bot_bo844097828e_bool != collect_pname(X0) ) ),
inference(nnf_transformation,[],[f811]) ).
fof(f811,plain,
! [X0] :
( bot_bo844097828e_bool = collect_pname(X0)
<=> ! [X1] :
( ~ hBOOL(hAPP_pname_bool(X0,X1))
| ~ is_pname(X1) ) ),
inference(ennf_transformation,[],[f483]) ).
fof(f483,plain,
! [X0] :
( bot_bo844097828e_bool = collect_pname(X0)
<=> ! [X1] :
( is_pname(X1)
=> ~ hBOOL(hAPP_pname_bool(X0,X1)) ) ),
inference(rectify,[],[f208]) ).
fof(f208,axiom,
! [X13] :
( bot_bo844097828e_bool = collect_pname(X13)
<=> ! [X20] :
( is_pname(X20)
=> ~ hBOOL(hAPP_pname_bool(X13,X20)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_154_empty__Collect__eq) ).
fof(f1418,plain,
! [X0] :
( is_pname(sK20(X0))
| bot_bo844097828e_bool = collect_pname(X0) ),
inference(cnf_transformation,[],[f1192]) ).
fof(f1419,plain,
! [X0] :
( hBOOL(hAPP_pname_bool(X0,sK20(X0)))
| bot_bo844097828e_bool = collect_pname(X0) ),
inference(cnf_transformation,[],[f1192]) ).
fof(f1414,plain,
! [X2,X0] :
( ~ hBOOL(hAPP_f1664156314l_bool(X0,X2))
| ~ is_fun_pname_bool(X2)
| bot_bo1649642514l_bool != collec1974731493e_bool(X0) ),
inference(cnf_transformation,[],[f1188]) ).
fof(f1188,plain,
! [X0] :
( ( bot_bo1649642514l_bool = collec1974731493e_bool(X0)
| ( hBOOL(hAPP_f1664156314l_bool(X0,sK19(X0)))
& is_fun_pname_bool(sK19(X0)) ) )
& ( ! [X2] :
( ~ hBOOL(hAPP_f1664156314l_bool(X0,X2))
| ~ is_fun_pname_bool(X2) )
| bot_bo1649642514l_bool != collec1974731493e_bool(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f1186,f1187]) ).
fof(f1187,plain,
! [X0] :
( ? [X1] :
( hBOOL(hAPP_f1664156314l_bool(X0,X1))
& is_fun_pname_bool(X1) )
=> ( hBOOL(hAPP_f1664156314l_bool(X0,sK19(X0)))
& is_fun_pname_bool(sK19(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f1186,plain,
! [X0] :
( ( bot_bo1649642514l_bool = collec1974731493e_bool(X0)
| ? [X1] :
( hBOOL(hAPP_f1664156314l_bool(X0,X1))
& is_fun_pname_bool(X1) ) )
& ( ! [X2] :
( ~ hBOOL(hAPP_f1664156314l_bool(X0,X2))
| ~ is_fun_pname_bool(X2) )
| bot_bo1649642514l_bool != collec1974731493e_bool(X0) ) ),
inference(rectify,[],[f1185]) ).
fof(f1185,plain,
! [X0] :
( ( bot_bo1649642514l_bool = collec1974731493e_bool(X0)
| ? [X1] :
( hBOOL(hAPP_f1664156314l_bool(X0,X1))
& is_fun_pname_bool(X1) ) )
& ( ! [X1] :
( ~ hBOOL(hAPP_f1664156314l_bool(X0,X1))
| ~ is_fun_pname_bool(X1) )
| bot_bo1649642514l_bool != collec1974731493e_bool(X0) ) ),
inference(nnf_transformation,[],[f810]) ).
fof(f810,plain,
! [X0] :
( bot_bo1649642514l_bool = collec1974731493e_bool(X0)
<=> ! [X1] :
( ~ hBOOL(hAPP_f1664156314l_bool(X0,X1))
| ~ is_fun_pname_bool(X1) ) ),
inference(ennf_transformation,[],[f482]) ).
fof(f482,plain,
! [X0] :
( bot_bo1649642514l_bool = collec1974731493e_bool(X0)
<=> ! [X1] :
( is_fun_pname_bool(X1)
=> ~ hBOOL(hAPP_f1664156314l_bool(X0,X1)) ) ),
inference(rectify,[],[f206]) ).
fof(f206,axiom,
! [X13] :
( bot_bo1649642514l_bool = collec1974731493e_bool(X13)
<=> ! [X20] :
( is_fun_pname_bool(X20)
=> ~ hBOOL(hAPP_f1664156314l_bool(X13,X20)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_152_empty__Collect__eq) ).
fof(f1415,plain,
! [X0] :
( is_fun_pname_bool(sK19(X0))
| bot_bo1649642514l_bool = collec1974731493e_bool(X0) ),
inference(cnf_transformation,[],[f1188]) ).
fof(f1416,plain,
! [X0] :
( hBOOL(hAPP_f1664156314l_bool(X0,sK19(X0)))
| bot_bo1649642514l_bool = collec1974731493e_bool(X0) ),
inference(cnf_transformation,[],[f1188]) ).
fof(f1411,plain,
! [X2,X0] :
( ~ hBOOL(hAPP_f1664156314l_bool(X0,X2))
| ~ is_fun_pname_bool(X2)
| bot_bo1649642514l_bool != collec1974731493e_bool(X0) ),
inference(cnf_transformation,[],[f1184]) ).
fof(f1184,plain,
! [X0] :
( ( bot_bo1649642514l_bool = collec1974731493e_bool(X0)
| ( hBOOL(hAPP_f1664156314l_bool(X0,sK18(X0)))
& is_fun_pname_bool(sK18(X0)) ) )
& ( ! [X2] :
( ~ hBOOL(hAPP_f1664156314l_bool(X0,X2))
| ~ is_fun_pname_bool(X2) )
| bot_bo1649642514l_bool != collec1974731493e_bool(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f1182,f1183]) ).
fof(f1183,plain,
! [X0] :
( ? [X1] :
( hBOOL(hAPP_f1664156314l_bool(X0,X1))
& is_fun_pname_bool(X1) )
=> ( hBOOL(hAPP_f1664156314l_bool(X0,sK18(X0)))
& is_fun_pname_bool(sK18(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f1182,plain,
! [X0] :
( ( bot_bo1649642514l_bool = collec1974731493e_bool(X0)
| ? [X1] :
( hBOOL(hAPP_f1664156314l_bool(X0,X1))
& is_fun_pname_bool(X1) ) )
& ( ! [X2] :
( ~ hBOOL(hAPP_f1664156314l_bool(X0,X2))
| ~ is_fun_pname_bool(X2) )
| bot_bo1649642514l_bool != collec1974731493e_bool(X0) ) ),
inference(rectify,[],[f1181]) ).
fof(f1181,plain,
! [X0] :
( ( bot_bo1649642514l_bool = collec1974731493e_bool(X0)
| ? [X1] :
( hBOOL(hAPP_f1664156314l_bool(X0,X1))
& is_fun_pname_bool(X1) ) )
& ( ! [X1] :
( ~ hBOOL(hAPP_f1664156314l_bool(X0,X1))
| ~ is_fun_pname_bool(X1) )
| bot_bo1649642514l_bool != collec1974731493e_bool(X0) ) ),
inference(nnf_transformation,[],[f809]) ).
fof(f809,plain,
! [X0] :
( bot_bo1649642514l_bool = collec1974731493e_bool(X0)
<=> ! [X1] :
( ~ hBOOL(hAPP_f1664156314l_bool(X0,X1))
| ~ is_fun_pname_bool(X1) ) ),
inference(ennf_transformation,[],[f481]) ).
fof(f481,plain,
! [X0] :
( bot_bo1649642514l_bool = collec1974731493e_bool(X0)
<=> ! [X1] :
( is_fun_pname_bool(X1)
=> ~ hBOOL(hAPP_f1664156314l_bool(X0,X1)) ) ),
inference(rectify,[],[f196]) ).
fof(f196,axiom,
! [X13] :
( bot_bo1649642514l_bool = collec1974731493e_bool(X13)
<=> ! [X20] :
( is_fun_pname_bool(X20)
=> ~ hBOOL(hAPP_f1664156314l_bool(X13,X20)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_142_Collect__empty__eq) ).
fof(f1412,plain,
! [X0] :
( is_fun_pname_bool(sK18(X0))
| bot_bo1649642514l_bool = collec1974731493e_bool(X0) ),
inference(cnf_transformation,[],[f1184]) ).
fof(f1413,plain,
! [X0] :
( hBOOL(hAPP_f1664156314l_bool(X0,sK18(X0)))
| bot_bo1649642514l_bool = collec1974731493e_bool(X0) ),
inference(cnf_transformation,[],[f1184]) ).
fof(f1409,plain,
! [X2,X0] :
( ~ hBOOL(hAPP_f971112728l_bool(X0,X2))
| bot_bo535777328l_bool != collec1823980261e_bool(X0) ),
inference(cnf_transformation,[],[f1180]) ).
fof(f1180,plain,
! [X0] :
( ( bot_bo535777328l_bool = collec1823980261e_bool(X0)
| hBOOL(hAPP_f971112728l_bool(X0,sK17(X0))) )
& ( ! [X2] : ~ hBOOL(hAPP_f971112728l_bool(X0,X2))
| bot_bo535777328l_bool != collec1823980261e_bool(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f1178,f1179]) ).
fof(f1179,plain,
! [X0] :
( ? [X1] : hBOOL(hAPP_f971112728l_bool(X0,X1))
=> hBOOL(hAPP_f971112728l_bool(X0,sK17(X0))) ),
introduced(choice_axiom,[]) ).
fof(f1178,plain,
! [X0] :
( ( bot_bo535777328l_bool = collec1823980261e_bool(X0)
| ? [X1] : hBOOL(hAPP_f971112728l_bool(X0,X1)) )
& ( ! [X2] : ~ hBOOL(hAPP_f971112728l_bool(X0,X2))
| bot_bo535777328l_bool != collec1823980261e_bool(X0) ) ),
inference(rectify,[],[f1177]) ).
fof(f1177,plain,
! [X0] :
( ( bot_bo535777328l_bool = collec1823980261e_bool(X0)
| ? [X1] : hBOOL(hAPP_f971112728l_bool(X0,X1)) )
& ( ! [X1] : ~ hBOOL(hAPP_f971112728l_bool(X0,X1))
| bot_bo535777328l_bool != collec1823980261e_bool(X0) ) ),
inference(nnf_transformation,[],[f480]) ).
fof(f480,plain,
! [X0] :
( bot_bo535777328l_bool = collec1823980261e_bool(X0)
<=> ! [X1] : ~ hBOOL(hAPP_f971112728l_bool(X0,X1)) ),
inference(rectify,[],[f195]) ).
fof(f195,axiom,
! [X13] :
( bot_bo535777328l_bool = collec1823980261e_bool(X13)
<=> ! [X20] : ~ hBOOL(hAPP_f971112728l_bool(X13,X20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_141_Collect__empty__eq) ).
fof(f1410,plain,
! [X0] :
( bot_bo535777328l_bool = collec1823980261e_bool(X0)
| hBOOL(hAPP_f971112728l_bool(X0,sK17(X0))) ),
inference(cnf_transformation,[],[f1180]) ).
fof(f1407,plain,
! [X2,X0] :
( ~ hBOOL(hAPP_f971112728l_bool(X0,X2))
| bot_bo535777328l_bool != collec1823980261e_bool(X0) ),
inference(cnf_transformation,[],[f1176]) ).
fof(f1176,plain,
! [X0] :
( ( bot_bo535777328l_bool = collec1823980261e_bool(X0)
| hBOOL(hAPP_f971112728l_bool(X0,sK16(X0))) )
& ( ! [X2] : ~ hBOOL(hAPP_f971112728l_bool(X0,X2))
| bot_bo535777328l_bool != collec1823980261e_bool(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f1174,f1175]) ).
fof(f1175,plain,
! [X0] :
( ? [X1] : hBOOL(hAPP_f971112728l_bool(X0,X1))
=> hBOOL(hAPP_f971112728l_bool(X0,sK16(X0))) ),
introduced(choice_axiom,[]) ).
fof(f1174,plain,
! [X0] :
( ( bot_bo535777328l_bool = collec1823980261e_bool(X0)
| ? [X1] : hBOOL(hAPP_f971112728l_bool(X0,X1)) )
& ( ! [X2] : ~ hBOOL(hAPP_f971112728l_bool(X0,X2))
| bot_bo535777328l_bool != collec1823980261e_bool(X0) ) ),
inference(rectify,[],[f1173]) ).
fof(f1173,plain,
! [X0] :
( ( bot_bo535777328l_bool = collec1823980261e_bool(X0)
| ? [X1] : hBOOL(hAPP_f971112728l_bool(X0,X1)) )
& ( ! [X1] : ~ hBOOL(hAPP_f971112728l_bool(X0,X1))
| bot_bo535777328l_bool != collec1823980261e_bool(X0) ) ),
inference(nnf_transformation,[],[f479]) ).
fof(f479,plain,
! [X0] :
( bot_bo535777328l_bool = collec1823980261e_bool(X0)
<=> ! [X1] : ~ hBOOL(hAPP_f971112728l_bool(X0,X1)) ),
inference(rectify,[],[f205]) ).
fof(f205,axiom,
! [X13] :
( bot_bo535777328l_bool = collec1823980261e_bool(X13)
<=> ! [X20] : ~ hBOOL(hAPP_f971112728l_bool(X13,X20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_151_empty__Collect__eq) ).
fof(f1408,plain,
! [X0] :
( bot_bo535777328l_bool = collec1823980261e_bool(X0)
| hBOOL(hAPP_f971112728l_bool(X0,sK16(X0))) ),
inference(cnf_transformation,[],[f1176]) ).
fof(f1405,plain,
! [X2,X0] :
( ~ hBOOL(hAPP_f166538662l_bool(X0,X2))
| bot_bo1761158942l_bool != collec488126193l_bool(X0) ),
inference(cnf_transformation,[],[f1172]) ).
fof(f1172,plain,
! [X0] :
( ( bot_bo1761158942l_bool = collec488126193l_bool(X0)
| hBOOL(hAPP_f166538662l_bool(X0,sK15(X0))) )
& ( ! [X2] : ~ hBOOL(hAPP_f166538662l_bool(X0,X2))
| bot_bo1761158942l_bool != collec488126193l_bool(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f1170,f1171]) ).
fof(f1171,plain,
! [X0] :
( ? [X1] : hBOOL(hAPP_f166538662l_bool(X0,X1))
=> hBOOL(hAPP_f166538662l_bool(X0,sK15(X0))) ),
introduced(choice_axiom,[]) ).
fof(f1170,plain,
! [X0] :
( ( bot_bo1761158942l_bool = collec488126193l_bool(X0)
| ? [X1] : hBOOL(hAPP_f166538662l_bool(X0,X1)) )
& ( ! [X2] : ~ hBOOL(hAPP_f166538662l_bool(X0,X2))
| bot_bo1761158942l_bool != collec488126193l_bool(X0) ) ),
inference(rectify,[],[f1169]) ).
fof(f1169,plain,
! [X0] :
( ( bot_bo1761158942l_bool = collec488126193l_bool(X0)
| ? [X1] : hBOOL(hAPP_f166538662l_bool(X0,X1)) )
& ( ! [X1] : ~ hBOOL(hAPP_f166538662l_bool(X0,X1))
| bot_bo1761158942l_bool != collec488126193l_bool(X0) ) ),
inference(nnf_transformation,[],[f478]) ).
fof(f478,plain,
! [X0] :
( bot_bo1761158942l_bool = collec488126193l_bool(X0)
<=> ! [X1] : ~ hBOOL(hAPP_f166538662l_bool(X0,X1)) ),
inference(rectify,[],[f194]) ).
fof(f194,axiom,
! [X13] :
( bot_bo1761158942l_bool = collec488126193l_bool(X13)
<=> ! [X20] : ~ hBOOL(hAPP_f166538662l_bool(X13,X20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_140_Collect__empty__eq) ).
fof(f1406,plain,
! [X0] :
( hBOOL(hAPP_f166538662l_bool(X0,sK15(X0)))
| bot_bo1761158942l_bool = collec488126193l_bool(X0) ),
inference(cnf_transformation,[],[f1172]) ).
fof(f1403,plain,
! [X2,X0] :
( ~ hBOOL(hAPP_f166538662l_bool(X0,X2))
| bot_bo1761158942l_bool != collec488126193l_bool(X0) ),
inference(cnf_transformation,[],[f1168]) ).
fof(f1168,plain,
! [X0] :
( ( bot_bo1761158942l_bool = collec488126193l_bool(X0)
| hBOOL(hAPP_f166538662l_bool(X0,sK14(X0))) )
& ( ! [X2] : ~ hBOOL(hAPP_f166538662l_bool(X0,X2))
| bot_bo1761158942l_bool != collec488126193l_bool(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f1166,f1167]) ).
fof(f1167,plain,
! [X0] :
( ? [X1] : hBOOL(hAPP_f166538662l_bool(X0,X1))
=> hBOOL(hAPP_f166538662l_bool(X0,sK14(X0))) ),
introduced(choice_axiom,[]) ).
fof(f1166,plain,
! [X0] :
( ( bot_bo1761158942l_bool = collec488126193l_bool(X0)
| ? [X1] : hBOOL(hAPP_f166538662l_bool(X0,X1)) )
& ( ! [X2] : ~ hBOOL(hAPP_f166538662l_bool(X0,X2))
| bot_bo1761158942l_bool != collec488126193l_bool(X0) ) ),
inference(rectify,[],[f1165]) ).
fof(f1165,plain,
! [X0] :
( ( bot_bo1761158942l_bool = collec488126193l_bool(X0)
| ? [X1] : hBOOL(hAPP_f166538662l_bool(X0,X1)) )
& ( ! [X1] : ~ hBOOL(hAPP_f166538662l_bool(X0,X1))
| bot_bo1761158942l_bool != collec488126193l_bool(X0) ) ),
inference(nnf_transformation,[],[f477]) ).
fof(f477,plain,
! [X0] :
( bot_bo1761158942l_bool = collec488126193l_bool(X0)
<=> ! [X1] : ~ hBOOL(hAPP_f166538662l_bool(X0,X1)) ),
inference(rectify,[],[f204]) ).
fof(f204,axiom,
! [X13] :
( bot_bo1761158942l_bool = collec488126193l_bool(X13)
<=> ! [X20] : ~ hBOOL(hAPP_f166538662l_bool(X13,X20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_150_empty__Collect__eq) ).
fof(f1404,plain,
! [X0] :
( hBOOL(hAPP_f166538662l_bool(X0,sK14(X0)))
| bot_bo1761158942l_bool = collec488126193l_bool(X0) ),
inference(cnf_transformation,[],[f1168]) ).
fof(f1400,plain,
! [X2,X0] :
( ~ hBOOL(hAPP_f1935102916l_bool(X0,X2))
| ~ is_fun1661590463l_bool(X2)
| bot_bo1537088220l_bool != collec1613912337l_bool(X0) ),
inference(cnf_transformation,[],[f1164]) ).
fof(f1164,plain,
! [X0] :
( ( bot_bo1537088220l_bool = collec1613912337l_bool(X0)
| ( hBOOL(hAPP_f1935102916l_bool(X0,sK13(X0)))
& is_fun1661590463l_bool(sK13(X0)) ) )
& ( ! [X2] :
( ~ hBOOL(hAPP_f1935102916l_bool(X0,X2))
| ~ is_fun1661590463l_bool(X2) )
| bot_bo1537088220l_bool != collec1613912337l_bool(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f1162,f1163]) ).
fof(f1163,plain,
! [X0] :
( ? [X1] :
( hBOOL(hAPP_f1935102916l_bool(X0,X1))
& is_fun1661590463l_bool(X1) )
=> ( hBOOL(hAPP_f1935102916l_bool(X0,sK13(X0)))
& is_fun1661590463l_bool(sK13(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f1162,plain,
! [X0] :
( ( bot_bo1537088220l_bool = collec1613912337l_bool(X0)
| ? [X1] :
( hBOOL(hAPP_f1935102916l_bool(X0,X1))
& is_fun1661590463l_bool(X1) ) )
& ( ! [X2] :
( ~ hBOOL(hAPP_f1935102916l_bool(X0,X2))
| ~ is_fun1661590463l_bool(X2) )
| bot_bo1537088220l_bool != collec1613912337l_bool(X0) ) ),
inference(rectify,[],[f1161]) ).
fof(f1161,plain,
! [X0] :
( ( bot_bo1537088220l_bool = collec1613912337l_bool(X0)
| ? [X1] :
( hBOOL(hAPP_f1935102916l_bool(X0,X1))
& is_fun1661590463l_bool(X1) ) )
& ( ! [X1] :
( ~ hBOOL(hAPP_f1935102916l_bool(X0,X1))
| ~ is_fun1661590463l_bool(X1) )
| bot_bo1537088220l_bool != collec1613912337l_bool(X0) ) ),
inference(nnf_transformation,[],[f808]) ).
fof(f808,plain,
! [X0] :
( bot_bo1537088220l_bool = collec1613912337l_bool(X0)
<=> ! [X1] :
( ~ hBOOL(hAPP_f1935102916l_bool(X0,X1))
| ~ is_fun1661590463l_bool(X1) ) ),
inference(ennf_transformation,[],[f476]) ).
fof(f476,plain,
! [X0] :
( bot_bo1537088220l_bool = collec1613912337l_bool(X0)
<=> ! [X1] :
( is_fun1661590463l_bool(X1)
=> ~ hBOOL(hAPP_f1935102916l_bool(X0,X1)) ) ),
inference(rectify,[],[f203]) ).
fof(f203,axiom,
! [X13] :
( bot_bo1537088220l_bool = collec1613912337l_bool(X13)
<=> ! [X20] :
( is_fun1661590463l_bool(X20)
=> ~ hBOOL(hAPP_f1935102916l_bool(X13,X20)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_149_empty__Collect__eq) ).
fof(f1401,plain,
! [X0] :
( is_fun1661590463l_bool(sK13(X0))
| bot_bo1537088220l_bool = collec1613912337l_bool(X0) ),
inference(cnf_transformation,[],[f1164]) ).
fof(f1402,plain,
! [X0] :
( hBOOL(hAPP_f1935102916l_bool(X0,sK13(X0)))
| bot_bo1537088220l_bool = collec1613912337l_bool(X0) ),
inference(cnf_transformation,[],[f1164]) ).
fof(f1397,plain,
! [X2,X0] :
( ~ hBOOL(hAPP_f1935102916l_bool(X0,X2))
| ~ is_fun1661590463l_bool(X2)
| bot_bo1537088220l_bool != collec1613912337l_bool(X0) ),
inference(cnf_transformation,[],[f1160]) ).
fof(f1160,plain,
! [X0] :
( ( bot_bo1537088220l_bool = collec1613912337l_bool(X0)
| ( hBOOL(hAPP_f1935102916l_bool(X0,sK12(X0)))
& is_fun1661590463l_bool(sK12(X0)) ) )
& ( ! [X2] :
( ~ hBOOL(hAPP_f1935102916l_bool(X0,X2))
| ~ is_fun1661590463l_bool(X2) )
| bot_bo1537088220l_bool != collec1613912337l_bool(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f1158,f1159]) ).
fof(f1159,plain,
! [X0] :
( ? [X1] :
( hBOOL(hAPP_f1935102916l_bool(X0,X1))
& is_fun1661590463l_bool(X1) )
=> ( hBOOL(hAPP_f1935102916l_bool(X0,sK12(X0)))
& is_fun1661590463l_bool(sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f1158,plain,
! [X0] :
( ( bot_bo1537088220l_bool = collec1613912337l_bool(X0)
| ? [X1] :
( hBOOL(hAPP_f1935102916l_bool(X0,X1))
& is_fun1661590463l_bool(X1) ) )
& ( ! [X2] :
( ~ hBOOL(hAPP_f1935102916l_bool(X0,X2))
| ~ is_fun1661590463l_bool(X2) )
| bot_bo1537088220l_bool != collec1613912337l_bool(X0) ) ),
inference(rectify,[],[f1157]) ).
fof(f1157,plain,
! [X0] :
( ( bot_bo1537088220l_bool = collec1613912337l_bool(X0)
| ? [X1] :
( hBOOL(hAPP_f1935102916l_bool(X0,X1))
& is_fun1661590463l_bool(X1) ) )
& ( ! [X1] :
( ~ hBOOL(hAPP_f1935102916l_bool(X0,X1))
| ~ is_fun1661590463l_bool(X1) )
| bot_bo1537088220l_bool != collec1613912337l_bool(X0) ) ),
inference(nnf_transformation,[],[f807]) ).
fof(f807,plain,
! [X0] :
( bot_bo1537088220l_bool = collec1613912337l_bool(X0)
<=> ! [X1] :
( ~ hBOOL(hAPP_f1935102916l_bool(X0,X1))
| ~ is_fun1661590463l_bool(X1) ) ),
inference(ennf_transformation,[],[f475]) ).
fof(f475,plain,
! [X0] :
( bot_bo1537088220l_bool = collec1613912337l_bool(X0)
<=> ! [X1] :
( is_fun1661590463l_bool(X1)
=> ~ hBOOL(hAPP_f1935102916l_bool(X0,X1)) ) ),
inference(rectify,[],[f193]) ).
fof(f193,axiom,
! [X13] :
( bot_bo1537088220l_bool = collec1613912337l_bool(X13)
<=> ! [X20] :
( is_fun1661590463l_bool(X20)
=> ~ hBOOL(hAPP_f1935102916l_bool(X13,X20)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_139_Collect__empty__eq) ).
fof(f1398,plain,
! [X0] :
( is_fun1661590463l_bool(sK12(X0))
| bot_bo1537088220l_bool = collec1613912337l_bool(X0) ),
inference(cnf_transformation,[],[f1160]) ).
fof(f1399,plain,
! [X0] :
( hBOOL(hAPP_f1935102916l_bool(X0,sK12(X0)))
| bot_bo1537088220l_bool = collec1613912337l_bool(X0) ),
inference(cnf_transformation,[],[f1160]) ).
fof(f1396,plain,
! [X0] :
( ~ hBOOL(wt(hAPP_pname_com(body_1,X0)))
| hAPP_p799580910on_com(body,X0) = some_com(sK11(X0)) ),
inference(cnf_transformation,[],[f1156]) ).
fof(f1156,plain,
! [X0] :
( hAPP_p799580910on_com(body,X0) = some_com(sK11(X0))
| ~ hBOOL(wt(hAPP_pname_com(body_1,X0))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f806,f1155]) ).
fof(f1155,plain,
! [X0] :
( ? [X1] : hAPP_p799580910on_com(body,X0) = some_com(X1)
=> hAPP_p799580910on_com(body,X0) = some_com(sK11(X0)) ),
introduced(choice_axiom,[]) ).
fof(f806,plain,
! [X0] :
( ? [X1] : hAPP_p799580910on_com(body,X0) = some_com(X1)
| ~ hBOOL(wt(hAPP_pname_com(body_1,X0))) ),
inference(ennf_transformation,[],[f474]) ).
fof(f474,plain,
! [X0] :
( hBOOL(wt(hAPP_pname_com(body_1,X0)))
=> ~ ! [X1] : hAPP_p799580910on_com(body,X0) != some_com(X1) ),
inference(rectify,[],[f348]) ).
fof(f348,axiom,
! [X32] :
( hBOOL(wt(hAPP_pname_com(body_1,X32)))
=> ~ ! [X33] : hAPP_p799580910on_com(body,X32) != some_com(X33) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_294_WTs__elim__cases_I7_J) ).
fof(f1395,plain,
! [X0] :
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(ord_le1285840794e_bool),X0))))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X0)) ),
inference(cnf_transformation,[],[f805]) ).
fof(f805,plain,
! [X0] :
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(ord_le1285840794e_bool),X0))))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X0)) ),
inference(ennf_transformation,[],[f473]) ).
fof(f473,plain,
! [X0] :
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X0))
=> hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(ord_le1285840794e_bool),X0)))) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X8] :
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X8))
=> hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(ord_le1285840794e_bool),X8)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_finite__Collect__subsets) ).
fof(f1394,plain,
! [X0] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),X0))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X0)) ),
inference(cnf_transformation,[],[f804]) ).
fof(f804,plain,
! [X0] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),X0))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X0)) ),
inference(ennf_transformation,[],[f472]) ).
fof(f472,plain,
! [X0] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X0))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),X0)))) ),
inference(rectify,[],[f62]) ).
fof(f62,axiom,
! [X8] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X8))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),X8)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_finite__Collect__subsets) ).
fof(f1393,plain,
! [X0] :
( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(ord_le287025148l_bool),X0))))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X0)) ),
inference(cnf_transformation,[],[f803]) ).
fof(f803,plain,
! [X0] :
( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(ord_le287025148l_bool),X0))))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X0)) ),
inference(ennf_transformation,[],[f471]) ).
fof(f471,plain,
! [X0] :
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X0))
=> hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(ord_le287025148l_bool),X0)))) ),
inference(rectify,[],[f66]) ).
fof(f66,axiom,
! [X8] :
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X8))
=> hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(ord_le287025148l_bool),X8)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_finite__Collect__subsets) ).
fof(f1392,plain,
! [X0] :
( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),X0))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X0)) ),
inference(cnf_transformation,[],[f802]) ).
fof(f802,plain,
! [X0] :
( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),X0))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X0)) ),
inference(ennf_transformation,[],[f470]) ).
fof(f470,plain,
! [X0] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X0))
=> hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),X0)))) ),
inference(rectify,[],[f67]) ).
fof(f67,axiom,
! [X8] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X8))
=> hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),X8)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_finite__Collect__subsets) ).
fof(f1391,plain,
! [X0] :
( hBOOL(hAPP_f595608956l_bool(finite1491191519l_bool,collec792590109l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(ord_le1375671464l_bool),X0))))
| ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X0)) ),
inference(cnf_transformation,[],[f801]) ).
fof(f801,plain,
! [X0] :
( hBOOL(hAPP_f595608956l_bool(finite1491191519l_bool,collec792590109l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(ord_le1375671464l_bool),X0))))
| ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X0)) ),
inference(ennf_transformation,[],[f469]) ).
fof(f469,plain,
! [X0] :
( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X0))
=> hBOOL(hAPP_f595608956l_bool(finite1491191519l_bool,collec792590109l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(ord_le1375671464l_bool),X0)))) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X8] :
( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X8))
=> hBOOL(hAPP_f595608956l_bool(finite1491191519l_bool,collec792590109l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(ord_le1375671464l_bool),X8)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_finite__Collect__subsets) ).
fof(f1390,plain,
! [X0] :
( hBOOL(hAPP_f1022807134l_bool(finite34021339l_bool,collec256567069l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(ord_le889598034l_bool),X0))))
| ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X0)) ),
inference(cnf_transformation,[],[f800]) ).
fof(f800,plain,
! [X0] :
( hBOOL(hAPP_f1022807134l_bool(finite34021339l_bool,collec256567069l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(ord_le889598034l_bool),X0))))
| ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X0)) ),
inference(ennf_transformation,[],[f468]) ).
fof(f468,plain,
! [X0] :
( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X0))
=> hBOOL(hAPP_f1022807134l_bool(finite34021339l_bool,collec256567069l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(ord_le889598034l_bool),X0)))) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X8] :
( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X8))
=> hBOOL(hAPP_f1022807134l_bool(finite34021339l_bool,collec256567069l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(ord_le889598034l_bool),X8)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_finite__Collect__subsets) ).
fof(f1978,plain,
! [X2] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),bot_bo844097828e_bool)),
inference(global_subsumption,[],[f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1973,f1369,f1370,f1890,f1974,f1372,f1371,f1376,f1375,f1891,f1975,f1377,f1378,f1379,f1380,f1381,f1892,f1976,f1382,f1893,f1977,f1385,f1384,f1389,f1388,f1894]) ).
fof(f1894,plain,
! [X2] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),bot_bo844097828e_bool))
| ~ is_pname(X2)
| ~ is_fun_pname_bool(bot_bo844097828e_bool) ),
inference(equality_resolution,[],[f1387]) ).
fof(f1387,plain,
! [X2,X0] :
( bot_bo844097828e_bool != X0
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X0))
| ~ is_pname(X2)
| ~ is_fun_pname_bool(X0) ),
inference(cnf_transformation,[],[f1154]) ).
fof(f1154,plain,
! [X0] :
( ( ( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK10(X0)),X0))
& is_pname(sK10(X0)) )
| bot_bo844097828e_bool = X0 )
& ( bot_bo844097828e_bool != X0
| ! [X2] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X0))
| ~ is_pname(X2) ) ) )
| ~ is_fun_pname_bool(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f1152,f1153]) ).
fof(f1153,plain,
! [X0] :
( ? [X1] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X0))
& is_pname(X1) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK10(X0)),X0))
& is_pname(sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f1152,plain,
! [X0] :
( ( ( ? [X1] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X0))
& is_pname(X1) )
| bot_bo844097828e_bool = X0 )
& ( bot_bo844097828e_bool != X0
| ! [X2] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X0))
| ~ is_pname(X2) ) ) )
| ~ is_fun_pname_bool(X0) ),
inference(rectify,[],[f1151]) ).
fof(f1151,plain,
! [X0] :
( ( ( ? [X1] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X0))
& is_pname(X1) )
| bot_bo844097828e_bool = X0 )
& ( bot_bo844097828e_bool != X0
| ! [X1] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X0))
| ~ is_pname(X1) ) ) )
| ~ is_fun_pname_bool(X0) ),
inference(nnf_transformation,[],[f799]) ).
fof(f799,plain,
! [X0] :
( ( ? [X1] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X0))
& is_pname(X1) )
<=> bot_bo844097828e_bool != X0 )
| ~ is_fun_pname_bool(X0) ),
inference(ennf_transformation,[],[f467]) ).
fof(f467,plain,
! [X0] :
( is_fun_pname_bool(X0)
=> ( ? [X1] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X0))
& is_pname(X1) )
<=> bot_bo844097828e_bool != X0 ) ),
inference(rectify,[],[f212]) ).
fof(f212,axiom,
! [X8] :
( is_fun_pname_bool(X8)
=> ( ? [X20] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X8))
& is_pname(X20) )
<=> bot_bo844097828e_bool != X8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_158_ex__in__conv) ).
fof(f1388,plain,
! [X0] :
( is_pname(sK10(X0))
| bot_bo844097828e_bool = X0
| ~ is_fun_pname_bool(X0) ),
inference(cnf_transformation,[],[f1154]) ).
fof(f1389,plain,
! [X0] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK10(X0)),X0))
| bot_bo844097828e_bool = X0
| ~ is_fun_pname_bool(X0) ),
inference(cnf_transformation,[],[f1154]) ).
fof(f1384,plain,
! [X0] :
( is_pname(sK9(X0))
| bot_bo844097828e_bool = X0
| ~ is_fun_pname_bool(X0) ),
inference(cnf_transformation,[],[f1150]) ).
fof(f1150,plain,
! [X0] :
( ( ( ! [X1] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X0))
| ~ is_pname(X1) )
| bot_bo844097828e_bool != X0 )
& ( bot_bo844097828e_bool = X0
| ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK9(X0)),X0))
& is_pname(sK9(X0)) ) ) )
| ~ is_fun_pname_bool(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f1148,f1149]) ).
fof(f1149,plain,
! [X0] :
( ? [X2] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X0))
& is_pname(X2) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK9(X0)),X0))
& is_pname(sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f1148,plain,
! [X0] :
( ( ( ! [X1] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X0))
| ~ is_pname(X1) )
| bot_bo844097828e_bool != X0 )
& ( bot_bo844097828e_bool = X0
| ? [X2] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X0))
& is_pname(X2) ) ) )
| ~ is_fun_pname_bool(X0) ),
inference(rectify,[],[f1147]) ).
fof(f1147,plain,
! [X0] :
( ( ( ! [X1] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X0))
| ~ is_pname(X1) )
| bot_bo844097828e_bool != X0 )
& ( bot_bo844097828e_bool = X0
| ? [X1] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X0))
& is_pname(X1) ) ) )
| ~ is_fun_pname_bool(X0) ),
inference(nnf_transformation,[],[f798]) ).
fof(f798,plain,
! [X0] :
( ( ! [X1] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X0))
| ~ is_pname(X1) )
<=> bot_bo844097828e_bool = X0 )
| ~ is_fun_pname_bool(X0) ),
inference(ennf_transformation,[],[f466]) ).
fof(f466,plain,
! [X0] :
( is_fun_pname_bool(X0)
=> ( ! [X1] :
( is_pname(X1)
=> ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X0)) )
<=> bot_bo844097828e_bool = X0 ) ),
inference(rectify,[],[f216]) ).
fof(f216,axiom,
! [X8] :
( is_fun_pname_bool(X8)
=> ( ! [X20] :
( is_pname(X20)
=> ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X8)) )
<=> bot_bo844097828e_bool = X8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_162_all__not__in__conv) ).
fof(f1385,plain,
! [X0] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK9(X0)),X0))
| bot_bo844097828e_bool = X0
| ~ is_fun_pname_bool(X0) ),
inference(cnf_transformation,[],[f1150]) ).
fof(f1977,plain,
! [X1] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)),
inference(global_subsumption,[],[f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1973,f1369,f1370,f1890,f1974,f1372,f1371,f1376,f1375,f1891,f1975,f1377,f1378,f1379,f1380,f1381,f1892,f1976,f1382,f1893]) ).
fof(f1893,plain,
! [X1] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool))
| ~ is_pname(X1)
| ~ is_fun_pname_bool(bot_bo844097828e_bool) ),
inference(equality_resolution,[],[f1386]) ).
fof(f1386,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X0))
| ~ is_pname(X1)
| bot_bo844097828e_bool != X0
| ~ is_fun_pname_bool(X0) ),
inference(cnf_transformation,[],[f1150]) ).
fof(f1382,plain,
! [X0] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X0),bot_bo844097828e_bool))
| bot_bo844097828e_bool = X0
| ~ is_fun_pname_bool(X0) ),
inference(cnf_transformation,[],[f1146]) ).
fof(f1146,plain,
! [X0] :
( ( ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X0),bot_bo844097828e_bool))
| bot_bo844097828e_bool != X0 )
& ( bot_bo844097828e_bool = X0
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X0),bot_bo844097828e_bool)) ) )
| ~ is_fun_pname_bool(X0) ),
inference(nnf_transformation,[],[f797]) ).
fof(f797,plain,
! [X0] :
( ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X0),bot_bo844097828e_bool))
<=> bot_bo844097828e_bool = X0 )
| ~ is_fun_pname_bool(X0) ),
inference(ennf_transformation,[],[f465]) ).
fof(f465,plain,
! [X0] :
( is_fun_pname_bool(X0)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X0),bot_bo844097828e_bool))
<=> bot_bo844097828e_bool = X0 ) ),
inference(rectify,[],[f291]) ).
fof(f291,axiom,
! [X8] :
( is_fun_pname_bool(X8)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X8),bot_bo844097828e_bool))
<=> bot_bo844097828e_bool = X8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_237_subset__empty) ).
fof(f1976,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),bot_bo844097828e_bool)),
inference(global_subsumption,[],[f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1973,f1369,f1370,f1890,f1974,f1372,f1371,f1376,f1375,f1891,f1975,f1377,f1378,f1379,f1380,f1381,f1892]) ).
fof(f1892,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),bot_bo844097828e_bool))
| ~ is_fun_pname_bool(bot_bo844097828e_bool) ),
inference(equality_resolution,[],[f1383]) ).
fof(f1383,plain,
! [X0] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X0),bot_bo844097828e_bool))
| bot_bo844097828e_bool != X0
| ~ is_fun_pname_bool(X0) ),
inference(cnf_transformation,[],[f1146]) ).
fof(f1381,plain,
! [X0] :
( ~ is_fun_pname_bool(X0)
| collect_pname(X0) = X0 ),
inference(cnf_transformation,[],[f796]) ).
fof(f796,plain,
! [X0] :
( collect_pname(X0) = X0
| ~ is_fun_pname_bool(X0) ),
inference(ennf_transformation,[],[f464]) ).
fof(f464,plain,
! [X0] :
( is_fun_pname_bool(X0)
=> collect_pname(X0) = X0 ),
inference(rectify,[],[f308]) ).
fof(f308,axiom,
! [X13] :
( is_fun_pname_bool(X13)
=> collect_pname(X13) = X13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_254_Collect__def) ).
fof(f1380,plain,
! [X0] :
( is_fun_pname_bool(collect_pname(X0))
| ~ is_fun_pname_bool(X0) ),
inference(cnf_transformation,[],[f795]) ).
fof(f795,plain,
! [X0] :
( is_fun_pname_bool(collect_pname(X0))
| ~ is_fun_pname_bool(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( is_fun_pname_bool(X0)
=> is_fun_pname_bool(collect_pname(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_OCollect_000tc__Com__Opname) ).
fof(f1379,plain,
! [X0] :
( ~ is_bool(X0)
| fTrue = X0
| fFalse = X0 ),
inference(cnf_transformation,[],[f794]) ).
fof(f794,plain,
! [X0] :
( fFalse = X0
| fTrue = X0
| ~ is_bool(X0) ),
inference(flattening,[],[f793]) ).
fof(f793,plain,
! [X0] :
( fFalse = X0
| fTrue = X0
| ~ is_bool(X0) ),
inference(ennf_transformation,[],[f463]) ).
fof(f463,plain,
! [X0] :
( is_bool(X0)
=> ( fFalse = X0
| fTrue = X0 ) ),
inference(rectify,[],[f363]) ).
fof(f363,axiom,
! [X32] :
( is_bool(X32)
=> ( fFalse = X32
| fTrue = X32 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_T) ).
fof(f1378,plain,
! [X0] :
( is_fun_pname_bool(cOMBK_bool_pname(X0))
| ~ is_bool(X0) ),
inference(cnf_transformation,[],[f792]) ).
fof(f792,plain,
! [X0] :
( is_fun_pname_bool(cOMBK_bool_pname(X0))
| ~ is_bool(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( is_bool(X0)
=> is_fun_pname_bool(cOMBK_bool_pname(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_COMBK_000tc__HOL__Obool_000tc__Com__Opname) ).
fof(f1377,plain,
! [X0] :
( is_fun1661590463l_bool(cOMBK_1857069011e_bool(X0))
| ~ is_bool(X0) ),
inference(cnf_transformation,[],[f791]) ).
fof(f791,plain,
! [X0] :
( is_fun1661590463l_bool(cOMBK_1857069011e_bool(X0))
| ~ is_bool(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( is_bool(X0)
=> is_fun1661590463l_bool(cOMBK_1857069011e_bool(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J) ).
fof(f1975,plain,
! [X2] : ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),bot_bo1649642514l_bool)),
inference(global_subsumption,[],[f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1973,f1369,f1370,f1890,f1974,f1372,f1371,f1376,f1375,f1891]) ).
fof(f1891,plain,
! [X2] :
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),bot_bo1649642514l_bool))
| ~ is_fun_pname_bool(X2)
| ~ is_fun1661590463l_bool(bot_bo1649642514l_bool) ),
inference(equality_resolution,[],[f1374]) ).
fof(f1374,plain,
! [X2,X0] :
( bot_bo1649642514l_bool != X0
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X0))
| ~ is_fun_pname_bool(X2)
| ~ is_fun1661590463l_bool(X0) ),
inference(cnf_transformation,[],[f1145]) ).
fof(f1145,plain,
! [X0] :
( ( ( ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sK8(X0)),X0))
& is_fun_pname_bool(sK8(X0)) )
| bot_bo1649642514l_bool = X0 )
& ( bot_bo1649642514l_bool != X0
| ! [X2] :
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X0))
| ~ is_fun_pname_bool(X2) ) ) )
| ~ is_fun1661590463l_bool(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f1143,f1144]) ).
fof(f1144,plain,
! [X0] :
( ? [X1] :
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X0))
& is_fun_pname_bool(X1) )
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sK8(X0)),X0))
& is_fun_pname_bool(sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f1143,plain,
! [X0] :
( ( ( ? [X1] :
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X0))
& is_fun_pname_bool(X1) )
| bot_bo1649642514l_bool = X0 )
& ( bot_bo1649642514l_bool != X0
| ! [X2] :
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X0))
| ~ is_fun_pname_bool(X2) ) ) )
| ~ is_fun1661590463l_bool(X0) ),
inference(rectify,[],[f1142]) ).
fof(f1142,plain,
! [X0] :
( ( ( ? [X1] :
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X0))
& is_fun_pname_bool(X1) )
| bot_bo1649642514l_bool = X0 )
& ( bot_bo1649642514l_bool != X0
| ! [X1] :
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X0))
| ~ is_fun_pname_bool(X1) ) ) )
| ~ is_fun1661590463l_bool(X0) ),
inference(nnf_transformation,[],[f790]) ).
fof(f790,plain,
! [X0] :
( ( ? [X1] :
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X0))
& is_fun_pname_bool(X1) )
<=> bot_bo1649642514l_bool != X0 )
| ~ is_fun1661590463l_bool(X0) ),
inference(ennf_transformation,[],[f462]) ).
fof(f462,plain,
! [X0] :
( is_fun1661590463l_bool(X0)
=> ( ? [X1] :
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X0))
& is_fun_pname_bool(X1) )
<=> bot_bo1649642514l_bool != X0 ) ),
inference(rectify,[],[f209]) ).
fof(f209,axiom,
! [X8] :
( is_fun1661590463l_bool(X8)
=> ( ? [X20] :
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X20),X8))
& is_fun_pname_bool(X20) )
<=> bot_bo1649642514l_bool != X8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_155_ex__in__conv) ).
fof(f1375,plain,
! [X0] :
( is_fun_pname_bool(sK8(X0))
| bot_bo1649642514l_bool = X0
| ~ is_fun1661590463l_bool(X0) ),
inference(cnf_transformation,[],[f1145]) ).
fof(f1376,plain,
! [X0] :
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sK8(X0)),X0))
| bot_bo1649642514l_bool = X0
| ~ is_fun1661590463l_bool(X0) ),
inference(cnf_transformation,[],[f1145]) ).
fof(f1371,plain,
! [X0] :
( is_fun_pname_bool(sK7(X0))
| bot_bo1649642514l_bool = X0
| ~ is_fun1661590463l_bool(X0) ),
inference(cnf_transformation,[],[f1141]) ).
fof(f1141,plain,
! [X0] :
( ( ( ! [X1] :
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X0))
| ~ is_fun_pname_bool(X1) )
| bot_bo1649642514l_bool != X0 )
& ( bot_bo1649642514l_bool = X0
| ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sK7(X0)),X0))
& is_fun_pname_bool(sK7(X0)) ) ) )
| ~ is_fun1661590463l_bool(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f1139,f1140]) ).
fof(f1140,plain,
! [X0] :
( ? [X2] :
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X0))
& is_fun_pname_bool(X2) )
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sK7(X0)),X0))
& is_fun_pname_bool(sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f1139,plain,
! [X0] :
( ( ( ! [X1] :
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X0))
| ~ is_fun_pname_bool(X1) )
| bot_bo1649642514l_bool != X0 )
& ( bot_bo1649642514l_bool = X0
| ? [X2] :
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X0))
& is_fun_pname_bool(X2) ) ) )
| ~ is_fun1661590463l_bool(X0) ),
inference(rectify,[],[f1138]) ).
fof(f1138,plain,
! [X0] :
( ( ( ! [X1] :
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X0))
| ~ is_fun_pname_bool(X1) )
| bot_bo1649642514l_bool != X0 )
& ( bot_bo1649642514l_bool = X0
| ? [X1] :
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X0))
& is_fun_pname_bool(X1) ) ) )
| ~ is_fun1661590463l_bool(X0) ),
inference(nnf_transformation,[],[f789]) ).
fof(f789,plain,
! [X0] :
( ( ! [X1] :
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X0))
| ~ is_fun_pname_bool(X1) )
<=> bot_bo1649642514l_bool = X0 )
| ~ is_fun1661590463l_bool(X0) ),
inference(ennf_transformation,[],[f461]) ).
fof(f461,plain,
! [X0] :
( is_fun1661590463l_bool(X0)
=> ( ! [X1] :
( is_fun_pname_bool(X1)
=> ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X0)) )
<=> bot_bo1649642514l_bool = X0 ) ),
inference(rectify,[],[f213]) ).
fof(f213,axiom,
! [X8] :
( is_fun1661590463l_bool(X8)
=> ( ! [X20] :
( is_fun_pname_bool(X20)
=> ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X20),X8)) )
<=> bot_bo1649642514l_bool = X8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_159_all__not__in__conv) ).
fof(f1372,plain,
! [X0] :
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sK7(X0)),X0))
| bot_bo1649642514l_bool = X0
| ~ is_fun1661590463l_bool(X0) ),
inference(cnf_transformation,[],[f1141]) ).
fof(f1974,plain,
! [X1] : ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),bot_bo1649642514l_bool)),
inference(global_subsumption,[],[f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1973,f1369,f1370,f1890]) ).
fof(f1890,plain,
! [X1] :
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),bot_bo1649642514l_bool))
| ~ is_fun_pname_bool(X1)
| ~ is_fun1661590463l_bool(bot_bo1649642514l_bool) ),
inference(equality_resolution,[],[f1373]) ).
fof(f1373,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X0))
| ~ is_fun_pname_bool(X1)
| bot_bo1649642514l_bool != X0
| ~ is_fun1661590463l_bool(X0) ),
inference(cnf_transformation,[],[f1141]) ).
fof(f1370,plain,
! [X0] :
( ~ is_fun1661590463l_bool(X0)
| collec1974731493e_bool(X0) = X0 ),
inference(cnf_transformation,[],[f788]) ).
fof(f788,plain,
! [X0] :
( collec1974731493e_bool(X0) = X0
| ~ is_fun1661590463l_bool(X0) ),
inference(ennf_transformation,[],[f460]) ).
fof(f460,plain,
! [X0] :
( is_fun1661590463l_bool(X0)
=> collec1974731493e_bool(X0) = X0 ),
inference(rectify,[],[f310]) ).
fof(f310,axiom,
! [X13] :
( is_fun1661590463l_bool(X13)
=> collec1974731493e_bool(X13) = X13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_256_Collect__def) ).
fof(f1369,plain,
! [X0] :
( is_fun1661590463l_bool(collec1974731493e_bool(X0))
| ~ is_fun1661590463l_bool(X0) ),
inference(cnf_transformation,[],[f787]) ).
fof(f787,plain,
! [X0] :
( is_fun1661590463l_bool(collec1974731493e_bool(X0))
| ~ is_fun1661590463l_bool(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( is_fun1661590463l_bool(X0)
=> is_fun1661590463l_bool(collec1974731493e_bool(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_OCollect_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J) ).
fof(f1973,plain,
! [X0] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool)))
| ~ hBOOL(wt(X0)) ),
inference(global_subsumption,[],[f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368]) ).
fof(f1368,plain,
! [X0] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool)))
| ~ hBOOL(wt(X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_165779456gleton) ),
inference(cnf_transformation,[],[f786]) ).
fof(f786,plain,
! [X0] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool)))
| ~ hBOOL(wt(X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_165779456gleton) ),
inference(flattening,[],[f785]) ).
fof(f785,plain,
! [X0] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool)))
| ~ hBOOL(wt(X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_165779456gleton) ),
inference(ennf_transformation,[],[f459]) ).
fof(f459,plain,
! [X0] :
( hBOOL(hoare_165779456gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(wt(X0))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool))) ) ) ),
inference(rectify,[],[f157]) ).
fof(f157,axiom,
! [X14] :
( hBOOL(hoare_165779456gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(wt(X14))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X14),bot_bo620288102e_bool))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_MGF) ).
fof(f1367,plain,
! [X0] :
( ~ hBOOL(hAPP_bool_bool(fNot,X0))
| ~ hBOOL(X0) ),
inference(cnf_transformation,[],[f458]) ).
fof(f458,plain,
! [X0] :
( ~ hBOOL(X0)
| ~ hBOOL(hAPP_bool_bool(fNot,X0)) ),
inference(rectify,[],[f354]) ).
fof(f354,axiom,
! [X32] :
( ~ hBOOL(X32)
| ~ hBOOL(hAPP_bool_bool(fNot,X32)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fNot_1_1_U) ).
fof(f1366,plain,
! [X0] :
( hBOOL(hAPP_bool_bool(fNot,X0))
| hBOOL(X0) ),
inference(cnf_transformation,[],[f457]) ).
fof(f457,plain,
! [X0] :
( hBOOL(hAPP_bool_bool(fNot,X0))
| hBOOL(X0) ),
inference(rectify,[],[f355]) ).
fof(f355,axiom,
! [X32] :
( hBOOL(hAPP_bool_bool(fNot,X32))
| hBOOL(X32) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fNot_2_1_U) ).
fof(f1365,plain,
! [X0] : insert1415133716_state(X0,bot_bo620288102e_bool) = collec307967673_state(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X0)),
inference(cnf_transformation,[],[f456]) ).
fof(f456,plain,
! [X0] : insert1415133716_state(X0,bot_bo620288102e_bool) = collec307967673_state(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X0)),
inference(rectify,[],[f334]) ).
fof(f334,axiom,
! [X11] : insert1415133716_state(X11,bot_bo620288102e_bool) = collec307967673_state(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_280_singleton__conv) ).
fof(f1364,plain,
! [X0] : insert_pname(X0,bot_bo844097828e_bool) = collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X0)),
inference(cnf_transformation,[],[f455]) ).
fof(f455,plain,
! [X0] : insert_pname(X0,bot_bo844097828e_bool) = collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X0)),
inference(rectify,[],[f333]) ).
fof(f333,axiom,
! [X11] : insert_pname(X11,bot_bo844097828e_bool) = collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_279_singleton__conv) ).
fof(f1363,plain,
! [X0] : insert1325755072e_bool(X0,bot_bo1649642514l_bool) = collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X0)),
inference(cnf_transformation,[],[f454]) ).
fof(f454,plain,
! [X0] : insert1325755072e_bool(X0,bot_bo1649642514l_bool) = collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X0)),
inference(rectify,[],[f335]) ).
fof(f335,axiom,
! [X11] : insert1325755072e_bool(X11,bot_bo1649642514l_bool) = collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_281_singleton__conv) ).
fof(f1362,plain,
! [X0] : insert1556680138e_bool(X0,bot_bo535777328l_bool) = collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X0)),
inference(cnf_transformation,[],[f453]) ).
fof(f453,plain,
! [X0] : insert1556680138e_bool(X0,bot_bo535777328l_bool) = collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X0)),
inference(rectify,[],[f336]) ).
fof(f336,axiom,
! [X11] : insert1556680138e_bool(X11,bot_bo535777328l_bool) = collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_282_singleton__conv) ).
fof(f1361,plain,
! [X0] : insert1415133716_state(X0,bot_bo620288102e_bool) = collec307967673_state(hAPP_H1049623551e_bool(fequal1111551311_state,X0)),
inference(cnf_transformation,[],[f452]) ).
fof(f452,plain,
! [X0] : insert1415133716_state(X0,bot_bo620288102e_bool) = collec307967673_state(hAPP_H1049623551e_bool(fequal1111551311_state,X0)),
inference(rectify,[],[f338]) ).
fof(f338,axiom,
! [X11] : insert1415133716_state(X11,bot_bo620288102e_bool) = collec307967673_state(hAPP_H1049623551e_bool(fequal1111551311_state,X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_284_singleton__conv2) ).
fof(f1360,plain,
! [X0] : insert_pname(X0,bot_bo844097828e_bool) = collect_pname(hAPP_p61793385e_bool(fequal_pname,X0)),
inference(cnf_transformation,[],[f451]) ).
fof(f451,plain,
! [X0] : insert_pname(X0,bot_bo844097828e_bool) = collect_pname(hAPP_p61793385e_bool(fequal_pname,X0)),
inference(rectify,[],[f337]) ).
fof(f337,axiom,
! [X11] : insert_pname(X11,bot_bo844097828e_bool) = collect_pname(hAPP_p61793385e_bool(fequal_pname,X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_283_singleton__conv2) ).
fof(f1359,plain,
! [X0] : insert1325755072e_bool(X0,bot_bo1649642514l_bool) = collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X0)),
inference(cnf_transformation,[],[f450]) ).
fof(f450,plain,
! [X0] : insert1325755072e_bool(X0,bot_bo1649642514l_bool) = collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X0)),
inference(rectify,[],[f339]) ).
fof(f339,axiom,
! [X11] : insert1325755072e_bool(X11,bot_bo1649642514l_bool) = collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_285_singleton__conv2) ).
fof(f1358,plain,
! [X0] : insert1556680138e_bool(X0,bot_bo535777328l_bool) = collec1823980261e_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X0)),
inference(cnf_transformation,[],[f449]) ).
fof(f449,plain,
! [X0] : insert1556680138e_bool(X0,bot_bo535777328l_bool) = collec1823980261e_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X0)),
inference(rectify,[],[f340]) ).
fof(f340,axiom,
! [X11] : insert1556680138e_bool(X11,bot_bo535777328l_bool) = collec1823980261e_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_286_singleton__conv2) ).
fof(f1357,plain,
! [X0] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X0),X0)),
inference(cnf_transformation,[],[f448]) ).
fof(f448,plain,
! [X0] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X0),X0)),
inference(rectify,[],[f263]) ).
fof(f263,axiom,
! [X8] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X8),X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_209_subset__refl) ).
fof(f1356,plain,
! [X0] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X0),X0)),
inference(cnf_transformation,[],[f447]) ).
fof(f447,plain,
! [X0] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X0),X0)),
inference(rectify,[],[f262]) ).
fof(f262,axiom,
! [X8] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X8),X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_208_subset__refl) ).
fof(f1355,plain,
! [X0] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,bot_bo620288102e_bool),X0)),
inference(cnf_transformation,[],[f446]) ).
fof(f446,plain,
! [X0] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,bot_bo620288102e_bool),X0)),
inference(rectify,[],[f87]) ).
fof(f87,axiom,
! [X8] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,bot_bo620288102e_bool),X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_empty__subsetI) ).
fof(f1354,plain,
! [X0] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X0)),
inference(cnf_transformation,[],[f445]) ).
fof(f445,plain,
! [X0] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X0)),
inference(rectify,[],[f90]) ).
fof(f90,axiom,
! [X8] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_empty__subsetI) ).
fof(f1353,plain,
! [X0] : hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,bot_bo535777328l_bool),X0)),
inference(cnf_transformation,[],[f444]) ).
fof(f444,plain,
! [X0] : hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,bot_bo535777328l_bool),X0)),
inference(rectify,[],[f89]) ).
fof(f89,axiom,
! [X8] : hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,bot_bo535777328l_bool),X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_empty__subsetI) ).
fof(f1352,plain,
! [X0] : hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,bot_bo1649642514l_bool),X0)),
inference(cnf_transformation,[],[f443]) ).
fof(f443,plain,
! [X0] : hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,bot_bo1649642514l_bool),X0)),
inference(rectify,[],[f88]) ).
fof(f88,axiom,
! [X8] : hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,bot_bo1649642514l_bool),X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_empty__subsetI) ).
fof(f1351,plain,
! [X0] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X0),bot_bo620288102e_bool)),
inference(cnf_transformation,[],[f442]) ).
fof(f442,plain,
! [X0] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X0),bot_bo620288102e_bool)),
inference(rectify,[],[f158]) ).
fof(f158,axiom,
! [X11] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X11),bot_bo620288102e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_104_emptyE) ).
fof(f1350,plain,
! [X0] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X0),bot_bo620288102e_bool)),
inference(cnf_transformation,[],[f441]) ).
fof(f441,plain,
! [X0] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X0),bot_bo620288102e_bool)),
inference(rectify,[],[f201]) ).
fof(f201,axiom,
! [X14] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X14),bot_bo620288102e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_147_empty__iff) ).
fof(f1349,plain,
! [X0] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),bot_bo844097828e_bool)),
inference(cnf_transformation,[],[f440]) ).
fof(f440,plain,
! [X0] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),bot_bo844097828e_bool)),
inference(rectify,[],[f161]) ).
fof(f161,axiom,
! [X11] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X11),bot_bo844097828e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_107_emptyE) ).
fof(f1348,plain,
! [X0] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),bot_bo844097828e_bool)),
inference(cnf_transformation,[],[f439]) ).
fof(f439,plain,
! [X0] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),bot_bo844097828e_bool)),
inference(rectify,[],[f202]) ).
fof(f202,axiom,
! [X14] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X14),bot_bo844097828e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_148_empty__iff) ).
fof(f1347,plain,
! [X0] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X0),bot_bo535777328l_bool)),
inference(cnf_transformation,[],[f438]) ).
fof(f438,plain,
! [X0] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X0),bot_bo535777328l_bool)),
inference(rectify,[],[f200]) ).
fof(f200,axiom,
! [X14] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X14),bot_bo535777328l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_146_empty__iff) ).
fof(f1346,plain,
! [X0] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X0),bot_bo535777328l_bool)),
inference(cnf_transformation,[],[f437]) ).
fof(f437,plain,
! [X0] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X0),bot_bo535777328l_bool)),
inference(rectify,[],[f160]) ).
fof(f160,axiom,
! [X11] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X11),bot_bo535777328l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_106_emptyE) ).
fof(f1345,plain,
! [X0] : ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X0),bot_bo1649642514l_bool)),
inference(cnf_transformation,[],[f436]) ).
fof(f436,plain,
! [X0] : ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X0),bot_bo1649642514l_bool)),
inference(rectify,[],[f159]) ).
fof(f159,axiom,
! [X11] : ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X11),bot_bo1649642514l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_105_emptyE) ).
fof(f1344,plain,
! [X0] : ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X0),bot_bo1649642514l_bool)),
inference(cnf_transformation,[],[f435]) ).
fof(f435,plain,
! [X0] : ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X0),bot_bo1649642514l_bool)),
inference(rectify,[],[f199]) ).
fof(f199,axiom,
! [X14] : ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X14),bot_bo1649642514l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_145_empty__iff) ).
fof(f1343,plain,
! [X0] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),bot_bo620288102e_bool)),
inference(cnf_transformation,[],[f434]) ).
fof(f434,plain,
! [X0] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),bot_bo620288102e_bool)),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X2] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),bot_bo620288102e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).
fof(f1342,plain,
! [X0] : bot_bo620288102e_bool = image_2003357581_state(X0,bot_bo844097828e_bool),
inference(cnf_transformation,[],[f433]) ).
fof(f433,plain,
! [X0] : bot_bo620288102e_bool = image_2003357581_state(X0,bot_bo844097828e_bool),
inference(rectify,[],[f294]) ).
fof(f294,axiom,
! [X16] : bot_bo620288102e_bool = image_2003357581_state(X16,bot_bo844097828e_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_240_image__empty) ).
fof(f1341,plain,
! [X0] : collec1823980261e_bool(X0) = X0,
inference(cnf_transformation,[],[f432]) ).
fof(f432,plain,
! [X0] : collec1823980261e_bool(X0) = X0,
inference(rectify,[],[f311]) ).
fof(f311,axiom,
! [X13] : collec1823980261e_bool(X13) = X13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_257_Collect__def) ).
fof(f1340,plain,
! [X0] : collec307967673_state(X0) = X0,
inference(cnf_transformation,[],[f431]) ).
fof(f431,plain,
! [X0] : collec307967673_state(X0) = X0,
inference(rectify,[],[f309]) ).
fof(f309,axiom,
! [X13] : collec307967673_state(X13) = X13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_255_Collect__def) ).
fof(f1339,plain,
! [X0] : is_bool(wt(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : is_bool(wt(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Com_OWT) ).
fof(f1338,plain,
! [X0] : is_fun1661590463l_bool(dom_fu2081503504ol_com(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] : is_fun1661590463l_bool(dom_fu2081503504ol_com(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Map_Odom_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Ocom) ).
fof(f1337,plain,
is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_) ).
fof(f1336,plain,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,dom_pname_com(body))),
inference(cnf_transformation,[],[f352]) ).
fof(f352,axiom,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,dom_pname_com(body))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_298_finite__dom__body) ).
fof(f1335,plain,
is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_HOL_Oundefined_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J) ).
fof(f1334,plain,
bot_bo620288102e_bool = collec307967673_state(cOMBK_659609255_state(fFalse)),
inference(cnf_transformation,[],[f220]) ).
fof(f220,axiom,
bot_bo620288102e_bool = collec307967673_state(cOMBK_659609255_state(fFalse)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_166_empty__def) ).
fof(f1333,plain,
bot_bo844097828e_bool = collect_pname(cOMBK_bool_pname(fFalse)),
inference(cnf_transformation,[],[f221]) ).
fof(f221,axiom,
bot_bo844097828e_bool = collect_pname(cOMBK_bool_pname(fFalse)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_167_empty__def) ).
fof(f1332,plain,
bot_bo1649642514l_bool = collec1974731493e_bool(cOMBK_1857069011e_bool(fFalse)),
inference(cnf_transformation,[],[f219]) ).
fof(f219,axiom,
bot_bo1649642514l_bool = collec1974731493e_bool(cOMBK_1857069011e_bool(fFalse)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_165_empty__def) ).
fof(f1331,plain,
bot_bo535777328l_bool = collec1823980261e_bool(cOMBK_129401207e_bool(fFalse)),
inference(cnf_transformation,[],[f218]) ).
fof(f218,axiom,
bot_bo535777328l_bool = collec1823980261e_bool(cOMBK_129401207e_bool(fFalse)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_164_empty__def) ).
fof(f1330,plain,
bot_bo1761158942l_bool = collec488126193l_bool(cOMBK_482404831l_bool(fFalse)),
inference(cnf_transformation,[],[f217]) ).
fof(f217,axiom,
bot_bo1761158942l_bool = collec488126193l_bool(cOMBK_482404831l_bool(fFalse)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_163_empty__def) ).
fof(f1329,plain,
hBOOL(hAPP_f971112728l_bool(finite364844667_state,bot_bo620288102e_bool)),
inference(cnf_transformation,[],[f98]) ).
fof(f98,axiom,
hBOOL(hAPP_f971112728l_bool(finite364844667_state,bot_bo620288102e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_finite_OemptyI) ).
fof(f1328,plain,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)),
inference(cnf_transformation,[],[f97]) ).
fof(f97,axiom,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_finite_OemptyI) ).
fof(f1327,plain,
hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,bot_bo535777328l_bool)),
inference(cnf_transformation,[],[f101]) ).
fof(f101,axiom,
hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,bot_bo535777328l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_finite_OemptyI) ).
fof(f1326,plain,
hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)),
inference(cnf_transformation,[],[f102]) ).
fof(f102,axiom,
hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_finite_OemptyI) ).
fof(f1325,plain,
hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,bot_bo1761158942l_bool)),
inference(cnf_transformation,[],[f100]) ).
fof(f100,axiom,
hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,bot_bo1761158942l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_46_finite_OemptyI) ).
fof(f1324,plain,
hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,bot_bo1537088220l_bool)),
inference(cnf_transformation,[],[f99]) ).
fof(f99,axiom,
hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,bot_bo1537088220l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_finite_OemptyI) ).
fof(f1323,plain,
is_pname(undefined_pname(pname)),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
is_pname(undefined_pname(pname)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_HOL_Oundefined_000tc__Com__Opname) ).
fof(f1322,plain,
is_fun_pname_bool(bot_bo844097828e_bool),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
is_fun_pname_bool(bot_bo844097828e_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J) ).
fof(f1321,plain,
is_bool(fFalse),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
is_bool(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_fFalse) ).
fof(f1320,plain,
is_bool(fTrue),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
is_bool(fTrue),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_fTrue) ).
fof(f1319,plain,
is_fun1661590463l_bool(finite_finite_pname),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
is_fun1661590463l_bool(finite_finite_pname),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Finite__Set_Ofinite_000tc__Com__Opname) ).
fof(f1318,plain,
is_fun1661590463l_bool(bot_bo1649642514l_bool),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
is_fun1661590463l_bool(bot_bo1649642514l_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__) ).
fof(f1317,plain,
~ hBOOL(fFalse),
inference(cnf_transformation,[],[f362]) ).
fof(f362,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f1316,plain,
! [X0,X1] : is_bool(hAPP_f971112728l_bool(X0,X1)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0,X1] : is_bool(hAPP_f971112728l_bool(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__O_004) ).
fof(f1315,plain,
! [X0] : is_fun_pname_bool(dom_pname_com(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] : is_fun_pname_bool(dom_pname_com(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Map_Odom_000tc__Com__Opname_000tc__Com__Ocom) ).
fof(f1314,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,fa),image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,cOMBB_923936821_pname(the_com,body)),dom_pname_com(body)))),
inference(cnf_transformation,[],[f425]) ).
fof(f425,axiom,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,fa),image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,cOMBB_923936821_pname(the_com,body)),dom_pname_com(body)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
fof(f1313,plain,
hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),fa)),
inference(cnf_transformation,[],[f427]) ).
fof(f427,axiom,
hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),fa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6) ).
fof(f1312,plain,
~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,y)),fa)),
inference(cnf_transformation,[],[f424]) ).
fof(f424,axiom,
~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,y)),fa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).
fof(f1310,plain,
hBOOL(hAPP_f971112728l_bool(finite364844667_state,fa)),
inference(cnf_transformation,[],[f423]) ).
fof(f423,axiom,
hBOOL(hAPP_f971112728l_bool(finite364844667_state,fa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
fof(f1309,plain,
hBOOL(wT_bodies),
inference(cnf_transformation,[],[f422]) ).
fof(f422,axiom,
hBOOL(wT_bodies),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f1308,plain,
hBOOL(hoare_165779456gleton),
inference(cnf_transformation,[],[f421]) ).
fof(f421,axiom,
hBOOL(hoare_165779456gleton),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1307,plain,
is_bool(wT_bodies),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
is_bool(wT_bodies),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Com_OWT__bodies) ).
fof(f1306,plain,
is_bool(hoare_165779456gleton),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
is_bool(hoare_165779456gleton),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Hoare__Mirabelle__jfehddehev_Ostate__not__singleton) ).
fof(f1305,plain,
is_pname(pn),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
is_pname(pn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_v_pn) ).
fof(f1304,plain,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
inference(cnf_transformation,[],[f430]) ).
fof(f430,plain,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
inference(flattening,[],[f429]) ).
fof(f429,negated_conjecture,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
inference(negated_conjecture,[],[f428]) ).
fof(f428,conjecture,
hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).
fof(f70623,plain,
~ hBOOL(wt(y)),
inference(subsumption_resolution,[],[f70563,f1317]) ).
fof(f70563,plain,
( hBOOL(fFalse)
| ~ hBOOL(wt(y)) ),
inference(superposition,[],[f1973,f70518]) ).
fof(f70518,plain,
fFalse = hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool)),
inference(resolution,[],[f44742,f1304]) ).
fof(f44742,plain,
! [X0,X1] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X1))
| fFalse = hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),X1) ),
inference(resolution,[],[f44674,f41310]) ).
fof(f41310,plain,
! [X0,X1] :
( hBOOL(hAPP_f971112728l_bool(X0,X1))
| fFalse = hAPP_f971112728l_bool(X0,X1) ),
inference(forward_demodulation,[],[f41284,f2181]) ).
fof(f2181,plain,
! [X2,X0,X1] : hAPP_f971112728l_bool(X0,X1) = hAPP_H78829294e_bool(cOMBK_659609255_state(hAPP_f971112728l_bool(X0,X1)),X2),
inference(resolution,[],[f1541,f1316]) ).
fof(f1541,plain,
! [X0,X1] :
( ~ is_bool(X0)
| hAPP_H78829294e_bool(cOMBK_659609255_state(X0),X1) = X0 ),
inference(cnf_transformation,[],[f847]) ).
fof(f847,plain,
! [X0,X1] :
( hAPP_H78829294e_bool(cOMBK_659609255_state(X0),X1) = X0
| ~ is_bool(X0) ),
inference(ennf_transformation,[],[f556]) ).
fof(f556,plain,
! [X0,X1] :
( is_bool(X0)
=> hAPP_H78829294e_bool(cOMBK_659609255_state(X0),X1) = X0 ),
inference(rectify,[],[f386]) ).
fof(f386,axiom,
! [X32,X37] :
( is_bool(X32)
=> hAPP_H78829294e_bool(cOMBK_659609255_state(X32),X37) = X32 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____jfehddehev__) ).
fof(f41284,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_f971112728l_bool(X0,X1))
| fFalse = hAPP_H78829294e_bool(cOMBK_659609255_state(hAPP_f971112728l_bool(X0,X1)),X2) ),
inference(superposition,[],[f41101,f2181]) ).
fof(f41101,plain,
! [X0,X1] :
( hBOOL(hAPP_H78829294e_bool(X1,X0))
| fFalse = hAPP_H78829294e_bool(X1,X0) ),
inference(superposition,[],[f1944,f41081]) ).
fof(f41081,plain,
! [X0,X1] :
( insert1415133716_state(X1,X0) = X0
| fFalse = hAPP_H78829294e_bool(X0,X1) ),
inference(forward_demodulation,[],[f41059,f2189]) ).
fof(f2189,plain,
! [X0] : fFalse = hAPP_H78829294e_bool(bot_bo620288102e_bool,X0),
inference(forward_demodulation,[],[f2177,f1999]) ).
fof(f1999,plain,
bot_bo620288102e_bool = cOMBK_659609255_state(fFalse),
inference(superposition,[],[f1334,f1340]) ).
fof(f2177,plain,
! [X0] : fFalse = hAPP_H78829294e_bool(cOMBK_659609255_state(fFalse),X0),
inference(resolution,[],[f1541,f1321]) ).
fof(f41059,plain,
! [X2,X0,X1] :
( hAPP_H78829294e_bool(X0,X1) = hAPP_H78829294e_bool(bot_bo620288102e_bool,X2)
| insert1415133716_state(X1,X0) = X0 ),
inference(superposition,[],[f2180,f11278]) ).
fof(f11278,plain,
! [X0,X1] :
( bot_bo620288102e_bool = cOMBK_659609255_state(hAPP_H78829294e_bool(X0,X1))
| insert1415133716_state(X1,X0) = X0 ),
inference(resolution,[],[f8118,f7594]) ).
fof(f7594,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_H78829294e_bool(X1,X0))
| insert1415133716_state(X0,X1) = X1 ),
inference(resolution,[],[f1614,f1671]) ).
fof(f1671,plain,
! [X0,X1] :
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X0),X1))
| ~ hBOOL(hAPP_H78829294e_bool(X1,X0)) ),
inference(cnf_transformation,[],[f1241]) ).
fof(f1241,plain,
! [X0,X1] :
( ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X0),X1))
| ~ hBOOL(hAPP_H78829294e_bool(X1,X0)) )
& ( hBOOL(hAPP_H78829294e_bool(X1,X0))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X0),X1)) ) ),
inference(nnf_transformation,[],[f646]) ).
fof(f646,plain,
! [X0,X1] :
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X0),X1))
<=> hBOOL(hAPP_H78829294e_bool(X1,X0)) ),
inference(rectify,[],[f307]) ).
fof(f307,axiom,
! [X15,X8] :
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X15),X8))
<=> hBOOL(hAPP_H78829294e_bool(X8,X15)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_253_mem__def) ).
fof(f1614,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X0),X1))
| insert1415133716_state(X0,X1) = X1 ),
inference(cnf_transformation,[],[f922]) ).
fof(f922,plain,
! [X0,X1] :
( insert1415133716_state(X0,X1) = X1
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X0),X1)) ),
inference(ennf_transformation,[],[f614]) ).
fof(f614,plain,
! [X0,X1] :
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X0),X1))
=> insert1415133716_state(X0,X1) = X1 ),
inference(rectify,[],[f223]) ).
fof(f223,axiom,
! [X11,X8] :
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X11),X8))
=> insert1415133716_state(X11,X8) = X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_169_insert__absorb) ).
fof(f8118,plain,
! [X0,X1] :
( hBOOL(hAPP_H78829294e_bool(X0,X1))
| bot_bo620288102e_bool = cOMBK_659609255_state(hAPP_H78829294e_bool(X0,X1)) ),
inference(superposition,[],[f2544,f2180]) ).
fof(f2544,plain,
! [X0] :
( hBOOL(hAPP_H78829294e_bool(X0,sK22(X0)))
| bot_bo620288102e_bool = X0 ),
inference(forward_demodulation,[],[f1424,f1340]) ).
fof(f2180,plain,
! [X2,X0,X1] : hAPP_H78829294e_bool(X0,X1) = hAPP_H78829294e_bool(cOMBK_659609255_state(hAPP_H78829294e_bool(X0,X1)),X2),
inference(resolution,[],[f1541,f1442]) ).
fof(f1944,plain,
! [X2,X1] : hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X2,X1),X2)),
inference(equality_resolution,[],[f1842]) ).
fof(f1842,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X0,X1),X2))
| X0 != X2 ),
inference(cnf_transformation,[],[f1280]) ).
fof(f1280,plain,
! [X0,X1,X2] :
( ( hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X0,X1),X2))
| ( ~ hBOOL(hAPP_H78829294e_bool(X1,X2))
& X0 != X2 ) )
& ( hBOOL(hAPP_H78829294e_bool(X1,X2))
| X0 = X2
| ~ hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X0,X1),X2)) ) ),
inference(flattening,[],[f1279]) ).
fof(f1279,plain,
! [X0,X1,X2] :
( ( hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X0,X1),X2))
| ( ~ hBOOL(hAPP_H78829294e_bool(X1,X2))
& X0 != X2 ) )
& ( hBOOL(hAPP_H78829294e_bool(X1,X2))
| X0 = X2
| ~ hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X0,X1),X2)) ) ),
inference(nnf_transformation,[],[f765]) ).
fof(f765,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X0,X1),X2))
<=> ( hBOOL(hAPP_H78829294e_bool(X1,X2))
| X0 = X2 ) ),
inference(rectify,[],[f229]) ).
fof(f229,axiom,
! [X17,X8,X15] :
( hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X17,X8),X15))
<=> ( hBOOL(hAPP_H78829294e_bool(X8,X15))
| X15 = X17 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_175_insert__code) ).
fof(f44674,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),X1))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X1)) ),
inference(resolution,[],[f1772,f1355]) ).
fof(f1772,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X0))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2)) ),
inference(cnf_transformation,[],[f1023]) ).
fof(f1023,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X0))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2)) ),
inference(flattening,[],[f1022]) ).
fof(f1022,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X0))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2)) ),
inference(ennf_transformation,[],[f711]) ).
fof(f711,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X0))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X2)) ) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X2,X5,X3] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X5),X3))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X5),X2))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_thin) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW474+1 : TPTP v8.1.2. Released v5.3.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.37 % Computer : n021.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 19:39:53 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % (26106)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.41 % (26109)WARNING: value z3 for option sas not known
% 0.22/0.41 % (26109)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.41 % (26113)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.41 % (26107)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.41 % (26108)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.41 % (26112)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.41 % (26110)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.41 % (26111)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 1.44/0.58 TRYING [1]
% 1.44/0.59 TRYING [2]
% 1.81/0.66 TRYING [1]
% 1.81/0.68 TRYING [2]
% 2.51/0.73 TRYING [3]
% 2.51/0.74 TRYING [1]
% 2.51/0.74 TRYING [2]
% 3.00/0.80 TRYING [3]
% 3.46/0.95 TRYING [3]
% 4.38/1.00 TRYING [4]
% 4.38/1.01 TRYING [4]
% 7.45/1.51 TRYING [4]
% 8.00/1.53 TRYING [5]
% 9.51/1.73 TRYING [5]
% 17.68/2.91 TRYING [6]
% 17.68/2.98 % (26109)First to succeed.
% 17.68/2.98 % (26109)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26106"
% 17.68/2.99 % (26109)Refutation found. Thanks to Tanya!
% 17.68/2.99 % SZS status Theorem for theBenchmark
% 17.68/2.99 % SZS output start Proof for theBenchmark
% See solution above
% 18.41/2.99 % (26109)------------------------------
% 18.41/2.99 % (26109)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 18.41/2.99 % (26109)Termination reason: Refutation
% 18.41/2.99
% 18.41/2.99 % (26109)Memory used [KB]: 47519
% 18.41/2.99 % (26109)Time elapsed: 2.573 s
% 18.41/2.99 % (26109)Instructions burned: 9864 (million)
% 18.41/2.99 % (26106)Success in time 2.581 s
%------------------------------------------------------------------------------